## TSTP Solution File: LCL666+1.001 by SnakeForV---1.0

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL666+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 17:44:40 EDT 2022

% Result   : Theorem 1.43s 0.57s
% Output   : Refutation 1.43s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :   49 (  27   ~;  12   |;  10   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   13 (   8   !;   5   ?)

%------------------------------------------------------------------------------
fof(f14,plain,
\$false,
inference(unit_resulting_resolution,[],[f8,f9,f10,f7]) ).

fof(f7,plain,
! [X1] :
( ~ r1(sK0,X1)
| ~ p101(X1)
| ~ p201(X1) ),
inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
? [X0] :
( p101(X0)
& p201(X0)
& ! [X1] :
( ~ p201(X1)
| ~ r1(X0,X1)
| ~ p101(X1) ) ),
inference(flattening,[],[f5]) ).

fof(f5,plain,
? [X0] :
( ! [X1] :
( ~ p201(X1)
| ~ p101(X1)
| ~ r1(X0,X1) )
& p201(X0)
& p101(X0) ),
inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ ( p201(X1)
& p101(X1) )
| ~ r1(X0,X1) )
| ~ ( p201(X0)
& p101(X0) ) ),
inference(flattening,[],[f3]) ).

fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ( p201(X1)
& p101(X1) )
| ~ r1(X0,X1) )
| ~ ( p201(X0)
& p101(X0) ) ),
inference(negated_conjecture,[],[f2]) ).

fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ( p201(X1)
& p101(X1) )
| ~ r1(X0,X1) )
| ~ ( p201(X0)
& p101(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

fof(f10,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).

fof(f9,plain,
p101(sK0),
inference(cnf_transformation,[],[f6]) ).

fof(f8,plain,
p201(sK0),
inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : LCL666+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 02:23:19 EDT 2022
% 0.14/0.35  % CPUTime    :
% 1.43/0.56  % (7349)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.43/0.56  % (7349)First to succeed.
% 1.43/0.57  % (7349)Refutation found. Thanks to Tanya!
% 1.43/0.57  % SZS status Theorem for theBenchmark
% 1.43/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.57  % (7349)------------------------------
% 1.43/0.57  % (7349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.57  % (7349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.57  % (7349)Termination reason: Refutation
% 1.43/0.57
% 1.43/0.57  % (7349)Memory used [KB]: 5884
% 1.43/0.57  % (7349)Time elapsed: 0.135 s
% 1.43/0.57  % (7349)Instructions burned: 1 (million)
% 1.43/0.57  % (7349)------------------------------
% 1.43/0.57  % (7349)------------------------------
% 1.43/0.57  % (7340)Success in time 0.208 s
%------------------------------------------------------------------------------
```