%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL169-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n003.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 17:47:06 EDT 2022

% Result   : Unsatisfiable 0.20s 0.42s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (  15 unt;   0 def)
%            Number of atoms       :   17 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   4   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f63,plain,
    $false,
    inference(subsumption_resolution,[],[f62,f21]) ).

fof(f21,plain,
    ~ theorem(sF3),
    inference(definition_folding,[],[f13,f20,f17,f19,f18,f17,f17]) ).

fof(f18,plain,
    sF1 = or(sF0,sF0),
    introduced(function_definition,[]) ).

fof(f19,plain,
    not(sF1) = sF2,
    introduced(function_definition,[]) ).

fof(f17,plain,
    not(p) = sF0,
    introduced(function_definition,[]) ).

fof(f20,plain,
    sF3 = or(sF2,sF0),
    introduced(function_definition,[]) ).

fof(f13,plain,
    ~ theorem(or(not(or(not(p),not(p))),not(p))),
    inference(definition_unfolding,[],[f9,f6,f6]) ).

fof(f6,axiom,
    ! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).

fof(f9,axiom,
    ~ theorem(implies(implies(p,not(p)),not(p))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f62,plain,
    theorem(sF3),
    inference(resolution,[],[f31,f7]) ).

fof(f7,axiom,
    ! [X3] :
      ( ~ axiom(X3)
      | theorem(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).

fof(f31,plain,
    axiom(sF3),
    inference(forward_demodulation,[],[f30,f20]) ).

fof(f30,plain,
    axiom(or(sF2,sF0)),
    inference(forward_demodulation,[],[f29,f19]) ).

fof(f29,plain,
    axiom(or(not(sF1),sF0)),
    inference(superposition,[],[f14,f18]) ).

fof(f14,plain,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    inference(definition_unfolding,[],[f1,f6]) ).

fof(f1,axiom,
    ! [X0] : axiom(implies(or(X0,X0),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : LCL169-3 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 01:40:22 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.42  % (16585)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.42  % (16585)First to succeed.
% 0.20/0.42  % (16585)Refutation found. Thanks to Tanya!
% 0.20/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.42  % (16585)------------------------------
% 0.20/0.42  % (16585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.42  % (16585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.42  % (16585)Termination reason: Refutation
% 0.20/0.42  
% 0.20/0.42  % (16585)Memory used [KB]: 5373
% 0.20/0.42  % (16585)Time elapsed: 0.029 s
% 0.20/0.42  % (16585)Instructions burned: 3 (million)
% 0.20/0.42  % (16585)------------------------------
% 0.20/0.42  % (16585)------------------------------
% 0.20/0.42  % (16556)Success in time 0.069 s
%------------------------------------------------------------------------------