## TSTP Solution File: SYN367+1 by Vampire---4.7

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Vampire---4.7
% Problem  : SYN367+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 29 23:28:31 EDT 2022

% Result   : Theorem 0.13s 0.41s
% Output   : Refutation 0.13s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   20 (   5 unt;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   54 (  19   ~;  16   |;  14   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   20 (  16   !;   4   ?)

%------------------------------------------------------------------------------
fof(f24,plain,
\$false,
inference(avatar_sat_refutation,[],[f18,f21,f23]) ).

fof(f23,plain,
~ spl2_2,

fof(f22,plain,
( \$false
| ~ spl2_2 ),
inference(resolution,[],[f17,f9]) ).

fof(f9,plain,
~ big_q(sK0),
inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
( ? [X1] : ~ big_r(X1)
& ? [X2] : ~ big_q(X2)
& ! [X0] :
( ( big_r(X0)
& ~ p )
| ( big_q(X0)
& p ) ) ),
inference(flattening,[],[f4]) ).

fof(f4,plain,
( ? [X1] : ~ big_r(X1)
& ? [X2] : ~ big_q(X2)
& ! [X0] :
( ( big_r(X0)
& ~ p )
| ( big_q(X0)
& p ) ) ),
inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
~ ( ! [X0] :
( ( big_r(X0)
& ~ p )
| ( big_q(X0)
& p ) )
=> ( ! [X1] : big_r(X1)
| ! [X2] : big_q(X2) ) ),
inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
~ ( ! [X0] :
( ( big_r(X0)
& ~ p )
| ( big_q(X0)
& p ) )
=> ( ! [X0] : big_r(X0)
| ! [X0] : big_q(X0) ) ),
inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
( ! [X0] :
( ( big_r(X0)
& ~ p )
| ( big_q(X0)
& p ) )
=> ( ! [X0] : big_r(X0)
| ! [X0] : big_q(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2118) ).

fof(f17,plain,
( ! [X0] : big_q(X0)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f16]) ).

fof(f16,plain,
( spl2_2
<=> ! [X0] : big_q(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f21,plain,
spl2_1,

fof(f20,plain,
( \$false
| spl2_1 ),
inference(resolution,[],[f19,f10]) ).

fof(f10,plain,
~ big_r(sK1),
inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
( ! [X0] : big_r(X0)
| spl2_1 ),
inference(subsumption_resolution,[],[f8,f14]) ).

fof(f14,plain,
( ~ p
| spl2_1 ),
inference(avatar_component_clause,[],[f12]) ).

fof(f12,plain,
( spl2_1
<=> p ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f8,plain,
! [X0] :
( p
| big_r(X0) ),
inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f6,f16,f12]) ).

fof(f6,plain,
! [X0] :
( big_q(X0)
| ~ p ),
inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN367+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Sep  5 02:58:18 EDT 2022
% 0.13/0.35  % CPUTime    :
% 0.13/0.35  This is a FOF_THM_EPR_NEQ problem
% 0.13/0.35  Running vampire --ignore_missing on --mode casc -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % (29343)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.41  % (29352)dis+1_8_afp=4000:afq=1.1:amm=sco:gsp=on:nm=64:newcnf=on:nwc=4:sac=on:sp=occurrence:updr=off_191 on theBenchmark
% 0.13/0.41  % (29352)First to succeed.
% 0.13/0.41  % (29352)Refutation found. Thanks to Tanya!
% 0.13/0.41  % SZS status Theorem for theBenchmark
% 0.13/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.41  % (29352)------------------------------
% 0.13/0.41  % (29352)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
% 0.13/0.41  % (29352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.41  % (29352)Termination reason: Refutation
% 0.13/0.41
% 0.13/0.41  % (29352)Memory used [KB]: 5500
% 0.13/0.41  % (29352)Time elapsed: 0.002 s
% 0.13/0.41  % (29352)------------------------------
% 0.13/0.41  % (29352)------------------------------
% 0.13/0.41  % (29343)Success in time 0.052 s
%------------------------------------------------------------------------------
```