## TSTP Solution File: SYN053-1 by SnakeForV---1.0

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN053-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n015.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 19:25:20 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (   3 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   32 (  13   ~;  15   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   6 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

%------------------------------------------------------------------------------
fof(f30,plain,
\$false,
inference(avatar_sat_refutation,[],[f18,f24,f25,f27,f29]) ).

fof(f29,plain,
( ~ spl0_2
| spl0_4 ),

fof(f28,plain,
( \$false
| ~ spl0_2
| spl0_4 ),
inference(subsumption_resolution,[],[f22,f12]) ).

fof(f12,plain,
( ! [X0] : big_f(X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f11]) ).

fof(f11,plain,
( spl0_2
<=> ! [X0] : big_f(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f22,plain,
( ~ big_f(a)
| spl0_4 ),
inference(avatar_component_clause,[],[f20]) ).

fof(f20,plain,
( spl0_4
<=> big_f(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f27,plain,
( spl0_1
| ~ spl0_2 ),

fof(f26,plain,
( \$false
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f8,f12]) ).

fof(f8,plain,
( ~ big_f(b)
| spl0_1 ),
inference(avatar_component_clause,[],[f7]) ).

fof(f7,plain,
( spl0_1
<=> big_f(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f25,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f5,f20,f7]) ).

fof(f5,axiom,
( ~ big_f(a)
| ~ big_f(b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

fof(f24,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f3,f14]) ).

fof(f14,plain,
( spl0_3
<=> p ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f3,axiom,
~ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

fof(f18,plain,
( spl0_2
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f1,f14,f11,f11]) ).

fof(f1,axiom,
! [X0,X1] :
( p
| big_f(X1)
| big_f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN053-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 21:36:51 EDT 2022
% 0.14/0.34  % CPUTime    :
% 0.20/0.47  % (15867)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.48  % (15867)First to succeed.
% 0.20/0.49  % (15883)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.49  % (15867)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (15867)------------------------------
% 0.20/0.49  % (15867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (15867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (15867)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49  % (15867)Memory used [KB]: 5756
% 0.20/0.49  % (15867)Time elapsed: 0.006 s
% 0.20/0.49  % (15867)Instructions burned: 1 (million)
% 0.20/0.49  % (15867)------------------------------
% 0.20/0.49  % (15867)------------------------------
% 0.20/0.49  % (15854)Success in time 0.141 s
%------------------------------------------------------------------------------
```