TSTP Solution File: SYN685-1 by SnakeForV-SAT---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN685-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n022.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 19:39:16 EDT 2022

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   32 (  20 unt;   0 def)
%            Number of atoms       :   48 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   35 (  19   ~;  15   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  12 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f338,plain,
    $false,
    inference(avatar_sat_refutation,[],[f249,f337]) ).

fof(f337,plain,
    ~ spl25_2,
    inference(avatar_contradiction_clause,[],[f336]) ).

fof(f336,plain,
    ( $false
    | ~ spl25_2 ),
    inference(subsumption_resolution,[],[f334,f94]) ).

fof(f94,plain,
    ~ p2(sF21,sF22),
    inference(superposition,[],[f58,f88]) ).

fof(f88,plain,
    sF22 = f18(sF21,sF1),
    introduced(function_definition,[]) ).

fof(f58,plain,
    ! [X10] : ~ p2(X10,f18(X10,sF1)),
    inference(definition_folding,[],[f19,f57,f56]) ).

fof(f56,plain,
    f17(c31) = sF0,
    introduced(function_definition,[]) ).

fof(f57,plain,
    f9(sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f19,axiom,
    ! [X10] : ~ p2(X10,f18(X10,f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_19) ).

fof(f334,plain,
    ( p2(sF21,sF22)
    | ~ spl25_2 ),
    inference(resolution,[],[f152,f321]) ).

fof(f321,plain,
    ( p2(sF10,sF21)
    | ~ spl25_2 ),
    inference(resolution,[],[f145,f180]) ).

fof(f180,plain,
    ( p2(sF21,sF10)
    | ~ spl25_2 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f178,plain,
    ( spl25_2
  <=> p2(sF21,sF10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ~ p2(X1,X0)
      | p2(X0,X1) ),
    inference(resolution,[],[f31,f7]) ).

fof(f7,axiom,
    ! [X5] : p2(X5,X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).

fof(f31,axiom,
    ! [X34,X5,X33] :
      ( ~ p2(X5,X34)
      | p2(X33,X34)
      | ~ p2(X5,X33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_31) ).

fof(f152,plain,
    ! [X16] :
      ( ~ p2(sF10,X16)
      | p2(X16,sF22) ),
    inference(resolution,[],[f31,f89]) ).

fof(f89,plain,
    p2(sF10,sF22),
    inference(definition_folding,[],[f40,f88,f57,f56,f87,f59,f70,f69]) ).

fof(f69,plain,
    f4(c32) = sF9,
    introduced(function_definition,[]) ).

fof(f70,plain,
    f11(sF9,c34) = sF10,
    introduced(function_definition,[]) ).

fof(f59,plain,
    f4(c36) = sF2,
    introduced(function_definition,[]) ).

fof(f87,plain,
    f11(sF2,c34) = sF21,
    introduced(function_definition,[]) ).

fof(f40,axiom,
    p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_40) ).

fof(f249,plain,
    spl25_2,
    inference(avatar_split_clause,[],[f248,f178]) ).

fof(f248,plain,
    p2(sF21,sF10),
    inference(forward_demodulation,[],[f247,f87]) ).

fof(f247,plain,
    p2(f11(sF2,c34),sF10),
    inference(subsumption_resolution,[],[f246,f13]) ).

fof(f13,axiom,
    p25(c32,c36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_13) ).

fof(f246,plain,
    ( ~ p25(c32,c36)
    | p2(f11(sF2,c34),sF10) ),
    inference(subsumption_resolution,[],[f233,f11]) ).

fof(f11,axiom,
    p25(c36,c33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_11) ).

fof(f233,plain,
    ( ~ p25(c36,c33)
    | p2(f11(sF2,c34),sF10)
    | ~ p25(c32,c36) ),
    inference(superposition,[],[f90,f59]) ).

fof(f90,plain,
    ! [X81] :
      ( p2(f11(f4(X81),c34),sF10)
      | ~ p25(X81,c33)
      | ~ p25(c32,X81) ),
    inference(definition_folding,[],[f50,f70,f69]) ).

fof(f50,axiom,
    ! [X81] :
      ( ~ p25(c32,X81)
      | ~ p25(X81,c33)
      | p2(f11(f4(X81),c34),f11(f4(c32),c34)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_50) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN685-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 22:16:55 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.46  % (13357)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.46  % (13357)Instruction limit reached!
% 0.19/0.46  % (13357)------------------------------
% 0.19/0.46  % (13357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46  % (13357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46  % (13357)Termination reason: Unknown
% 0.19/0.46  % (13357)Termination phase: Blocked clause elimination
% 0.19/0.46  
% 0.19/0.46  % (13357)Memory used [KB]: 1023
% 0.19/0.46  % (13357)Time elapsed: 0.003 s
% 0.19/0.46  % (13357)Instructions burned: 2 (million)
% 0.19/0.46  % (13357)------------------------------
% 0.19/0.46  % (13357)------------------------------
% 0.19/0.46  % (13373)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.48  % (13373)First to succeed.
% 0.19/0.48  % (13373)Refutation found. Thanks to Tanya!
% 0.19/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48  % (13373)------------------------------
% 0.19/0.48  % (13373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (13373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (13373)Termination reason: Refutation
% 0.19/0.48  
% 0.19/0.48  % (13373)Memory used [KB]: 5756
% 0.19/0.48  % (13373)Time elapsed: 0.081 s
% 0.19/0.48  % (13373)Instructions burned: 14 (million)
% 0.19/0.48  % (13373)------------------------------
% 0.19/0.48  % (13373)------------------------------
% 0.19/0.48  % (13348)Success in time 0.144 s
%------------------------------------------------------------------------------