%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN568-1 : 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 : n013.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 19:38:56 EDT 2022

% Result   : Unsatisfiable 1.44s 0.56s
% Output   : Refutation 1.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   30 (  21 unt;   0 def)
%            Number of atoms       :   46 (   9 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   28 (  12   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  12 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f166,plain,
    $false,
    inference(subsumption_resolution,[],[f165,f32]) ).

fof(f32,plain,
    p11(sF7,sF8),
    inference(definition_folding,[],[f18,f31,f29,f28,f27,f25,f30,f29,f28,f27,f24]) ).

fof(f24,plain,
    f9(c13) = sF2,
    introduced(function_definition,[]) ).

fof(f30,plain,
    sF7 = f4(sF2,sF6),
    introduced(function_definition,[]) ).

fof(f25,plain,
    f9(c14) = sF3,
    introduced(function_definition,[]) ).

fof(f27,plain,
    f8(c12) = sF4,
    introduced(function_definition,[]) ).

fof(f28,plain,
    sF5 = f7(sF4),
    introduced(function_definition,[]) ).

fof(f29,plain,
    f6(sF5) = sF6,
    introduced(function_definition,[]) ).

fof(f31,plain,
    sF8 = f4(sF3,sF6),
    introduced(function_definition,[]) ).

fof(f18,axiom,
    p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_18) ).

fof(f165,plain,
    ~ p11(sF7,sF8),
    inference(resolution,[],[f164,f6]) ).

fof(f6,axiom,
    ! [X3,X4] :
      ( ~ p10(X3,X4)
      | ~ p11(X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_6) ).

fof(f164,plain,
    p10(sF8,sF7),
    inference(forward_demodulation,[],[f163,f31]) ).

fof(f163,plain,
    p10(f4(sF3,sF6),sF7),
    inference(subsumption_resolution,[],[f161,f26]) ).

fof(f26,plain,
    ~ p11(sF2,sF3),
    inference(definition_folding,[],[f3,f25,f24]) ).

fof(f3,axiom,
    ~ p11(f9(c13),f9(c14)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_3) ).

fof(f161,plain,
    ( p11(sF2,sF3)
    | p10(f4(sF3,sF6),sF7) ),
    inference(superposition,[],[f131,f25]) ).

fof(f131,plain,
    ! [X0] :
      ( p10(f4(f9(X0),sF6),sF7)
      | p11(sF2,f9(X0)) ),
    inference(subsumption_resolution,[],[f128,f33]) ).

fof(f33,plain,
    ~ p3(sF6,sF0),
    inference(definition_folding,[],[f7,f21,f29,f28,f27]) ).

fof(f21,plain,
    f6(c12) = sF0,
    introduced(function_definition,[]) ).

fof(f7,axiom,
    ~ p3(f6(f7(f8(c12))),f6(c12)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_7) ).

fof(f128,plain,
    ! [X0] :
      ( p10(f4(f9(X0),sF6),sF7)
      | p3(sF6,sF0)
      | p11(sF2,f9(X0)) ),
    inference(superposition,[],[f90,f30]) ).

fof(f90,plain,
    ! [X2,X0,X1] :
      ( p10(f4(f9(X0),X1),f4(X2,X1))
      | p11(X2,f9(X0))
      | p3(X1,sF0) ),
    inference(resolution,[],[f85,f5]) ).

fof(f5,axiom,
    ! [X3,X4] :
      ( p10(X3,X4)
      | p11(X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_5) ).

fof(f85,plain,
    ! [X2,X0,X1] :
      ( ~ p10(f9(X0),X1)
      | p10(f4(f9(X0),X2),f4(X1,X2))
      | p3(X2,sF0) ),
    inference(resolution,[],[f34,f35]) ).

fof(f35,plain,
    ! [X2] : p11(sF1,f9(X2)),
    inference(definition_folding,[],[f4,f22,f21]) ).

fof(f22,plain,
    sF1 = f5(sF0),
    introduced(function_definition,[]) ).

fof(f4,axiom,
    ! [X2] : p11(f5(f6(c12)),f9(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_4) ).

fof(f34,plain,
    ! [X36,X34,X35] :
      ( ~ p11(sF1,X35)
      | ~ p10(X35,X36)
      | p10(f4(X35,X34),f4(X36,X34))
      | p3(X34,sF0) ),
    inference(definition_folding,[],[f20,f21,f22,f21]) ).

fof(f20,axiom,
    ! [X36,X34,X35] :
      ( ~ p11(f5(f6(c12)),X35)
      | ~ p10(X35,X36)
      | p3(X34,f6(c12))
      | p10(f4(X35,X34),f4(X36,X34)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_20) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN568-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % 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 : n013.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 22:06:47 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.53  % (32268)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)
% 0.20/0.53  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  % (32266)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  TRYING [3]
% 0.20/0.55  % (32284)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)
% 0.20/0.55  % (32276)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)
% 0.20/0.55  % (32285)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.55  % (32282)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.56  % (32274)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.44/0.56  % (32277)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.44/0.56  % (32266)First to succeed.
% 1.44/0.56  % (32266)Refutation found. Thanks to Tanya!
% 1.44/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.44/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.56  % (32266)------------------------------
% 1.44/0.56  % (32266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.56  % (32266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.56  % (32266)Termination reason: Refutation
% 1.44/0.56  
% 1.44/0.56  % (32266)Memory used [KB]: 5500
% 1.44/0.56  % (32266)Time elapsed: 0.143 s
% 1.44/0.56  % (32266)Instructions burned: 5 (million)
% 1.44/0.56  % (32266)------------------------------
% 1.44/0.56  % (32266)------------------------------
% 1.44/0.56  % (32261)Success in time 0.21 s
%------------------------------------------------------------------------------