TSTP Solution File: SYN678-1 by SnakeForV-SAT---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN678-1 : 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 : n023.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 19:39:14 EDT 2022

% Result   : Unsatisfiable 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   31 (  24 unt;   0 def)
%            Number of atoms       :   42 (  12 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  14   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  12 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f596,plain,
    $false,
    inference(subsumption_resolution,[],[f593,f116]) ).

fof(f116,plain,
    ~ p2(sF15,sF16),
    inference(superposition,[],[f100,f112]) ).

fof(f112,plain,
    sF29(sF15) = sF16,
    inference(superposition,[],[f78,f99]) ).

fof(f99,plain,
    ! [X10] : f16(X10,sF5) = sF29(X10),
    introduced(function_definition,[]) ).

fof(f78,plain,
    f16(sF15,sF5) = sF16,
    introduced(function_definition,[]) ).

fof(f100,plain,
    ! [X10] : ~ p2(X10,sF29(X10)),
    inference(definition_folding,[],[f19,f99,f62,f61]) ).

fof(f61,plain,
    f17(c31) = sF4,
    introduced(function_definition,[]) ).

fof(f62,plain,
    sF5 = f9(sF4),
    introduced(function_definition,[]) ).

fof(f19,axiom,
    ! [X10] : ~ p2(X10,f16(X10,f9(f17(c31)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_19) ).

fof(f593,plain,
    p2(sF15,sF16),
    inference(resolution,[],[f590,f517]) ).

fof(f517,plain,
    ! [X16] :
      ( ~ p2(sF12,X16)
      | p2(X16,sF16) ),
    inference(resolution,[],[f31,f79]) ).

fof(f79,plain,
    p2(sF12,sF16),
    inference(definition_folding,[],[f39,f78,f62,f61,f77,f59,f71,f70]) ).

fof(f70,plain,
    f4(c32) = sF11,
    introduced(function_definition,[]) ).

fof(f71,plain,
    f11(sF11,c34) = sF12,
    introduced(function_definition,[]) ).

fof(f59,plain,
    f4(c33) = sF2,
    introduced(function_definition,[]) ).

fof(f77,plain,
    sF15 = f11(sF2,c34),
    introduced(function_definition,[]) ).

fof(f39,axiom,
    p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_39) ).

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

fof(f590,plain,
    p2(sF12,sF15),
    inference(resolution,[],[f589,f510]) ).

fof(f510,plain,
    ! [X0,X1] :
      ( ~ p2(X1,X0)
      | p2(X0,X1) ),
    inference(resolution,[],[f31,f7]) ).

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

fof(f589,plain,
    p2(sF15,sF12),
    inference(subsumption_resolution,[],[f588,f14]) ).

fof(f14,axiom,
    p25(c32,c33),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_14) ).

fof(f588,plain,
    ( ~ p25(c32,c33)
    | p2(sF15,sF12) ),
    inference(subsumption_resolution,[],[f564,f12]) ).

fof(f12,axiom,
    p25(c33,c36),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_12) ).

fof(f564,plain,
    ( p2(sF15,sF12)
    | ~ p25(c33,c36)
    | ~ p25(c32,c33) ),
    inference(superposition,[],[f72,f124]) ).

fof(f124,plain,
    sF10(c33) = sF15,
    inference(forward_demodulation,[],[f117,f77]) ).

fof(f117,plain,
    sF10(c33) = f11(sF2,c34),
    inference(superposition,[],[f69,f59]) ).

fof(f69,plain,
    ! [X82] : f11(f4(X82),c34) = sF10(X82),
    introduced(function_definition,[]) ).

fof(f72,plain,
    ! [X82] :
      ( p2(sF10(X82),sF12)
      | ~ p25(c32,X82)
      | ~ p25(X82,c36) ),
    inference(definition_folding,[],[f51,f71,f70,f69]) ).

fof(f51,axiom,
    ! [X82] :
      ( ~ p25(X82,c36)
      | ~ p25(c32,X82)
      | p2(f11(f4(X82),c34),f11(f4(c32),c34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_51) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem    : SYN678-1 : TPTP v8.1.0. Released v2.5.0.
% 0.05/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n023.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 22:36:49 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  % (25942)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.49  % (25934)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.49  % (25926)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51  TRYING [1]
% 0.21/0.51  TRYING [2]
% 0.21/0.52  % (25939)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.52  % (25931)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.52  TRYING [3]
% 0.21/0.53  % (25923)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  TRYING [4]
% 0.21/0.53  % (25942)First to succeed.
% 0.21/0.53  % (25942)Refutation found. Thanks to Tanya!
% 0.21/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53  % (25942)------------------------------
% 0.21/0.53  % (25942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (25942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (25942)Termination reason: Refutation
% 0.21/0.53  
% 0.21/0.53  % (25942)Memory used [KB]: 5884
% 0.21/0.53  % (25942)Time elapsed: 0.110 s
% 0.21/0.53  % (25942)Instructions burned: 15 (million)
% 0.21/0.53  % (25942)------------------------------
% 0.21/0.53  % (25942)------------------------------
% 0.21/0.53  % (25916)Success in time 0.174 s
%------------------------------------------------------------------------------