TSTP Solution File: SYN592-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN592-1 : 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 : n007.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 19:39:00 EDT 2022

% Result   : Unsatisfiable 0.21s 0.58s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   43 (  19 unt;   0 def)
%            Number of atoms       :   80 (   4 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   74 (  37   ~;  35   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   3 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f381,plain,
    $false,
    inference(avatar_sat_refutation,[],[f158,f338,f380]) ).

fof(f380,plain,
    ~ spl4_4,
    inference(avatar_contradiction_clause,[],[f379]) ).

fof(f379,plain,
    ( $false
    | ~ spl4_4 ),
    inference(subsumption_resolution,[],[f378,f34]) ).

fof(f34,plain,
    ~ p11(c13,sF3),
    inference(definition_folding,[],[f13,f33,f28]) ).

fof(f28,plain,
    f5(c18) = sF0,
    introduced(function_definition,[]) ).

fof(f33,plain,
    f4(sF0,c17) = sF3,
    introduced(function_definition,[]) ).

fof(f13,axiom,
    ~ p11(c13,f4(f5(c18),c17)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_13) ).

fof(f378,plain,
    ( p11(c13,sF3)
    | ~ spl4_4 ),
    inference(resolution,[],[f377,f3]) ).

fof(f3,axiom,
    ! [X0] : p7(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).

fof(f377,plain,
    ( ! [X1] :
        ( ~ p7(c13,X1)
        | p11(X1,sF3) )
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f375,f33]) ).

fof(f375,plain,
    ( ! [X1] :
        ( p11(X1,f4(sF0,c17))
        | ~ p7(c13,X1) )
    | ~ spl4_4 ),
    inference(resolution,[],[f339,f264]) ).

fof(f264,plain,
    ! [X0] : p3(f4(f6(c18),X0),f4(sF0,X0)),
    inference(resolution,[],[f130,f4]) ).

fof(f4,axiom,
    ! [X1] : p2(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).

fof(f130,plain,
    ! [X16,X15] :
      ( ~ p2(X15,X16)
      | p3(f4(f6(c18),X15),f4(sF0,X16)) ),
    inference(resolution,[],[f26,f57]) ).

fof(f57,plain,
    p2(f6(c18),sF0),
    inference(forward_demodulation,[],[f56,f28]) ).

fof(f56,plain,
    p2(f6(c18),f5(c18)),
    inference(subsumption_resolution,[],[f45,f32]) ).

fof(f32,plain,
    p12(c14,sF2),
    inference(definition_folding,[],[f11,f31]) ).

fof(f31,plain,
    f4(c18,c17) = sF2,
    introduced(function_definition,[]) ).

fof(f11,axiom,
    p12(c14,f4(c18,c17)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_11) ).

fof(f45,plain,
    ( p2(f6(c18),f5(c18))
    | ~ p12(c14,sF2) ),
    inference(superposition,[],[f22,f31]) ).

fof(f22,axiom,
    ! [X19] :
      ( ~ p12(c14,f4(X19,c17))
      | p2(f6(X19),f5(X19)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_22) ).

fof(f26,axiom,
    ! [X34,X35,X32,X33] :
      ( ~ p2(X32,X34)
      | ~ p2(X33,X35)
      | p3(f4(X32,X33),f4(X34,X35)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_26) ).

fof(f339,plain,
    ( ! [X0,X1] :
        ( ~ p3(f4(f6(c18),c17),X0)
        | p11(X1,X0)
        | ~ p7(c13,X1) )
    | ~ spl4_4 ),
    inference(resolution,[],[f157,f25]) ).

fof(f25,axiom,
    ! [X31,X28,X29,X30] :
      ( ~ p11(X31,X30)
      | ~ p3(X30,X29)
      | p11(X28,X29)
      | ~ p7(X31,X28) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_25) ).

fof(f157,plain,
    ( p11(c13,f4(f6(c18),c17))
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f155,plain,
    ( spl4_4
  <=> p11(c13,f4(f6(c18),c17)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f338,plain,
    ~ spl4_3,
    inference(avatar_contradiction_clause,[],[f337]) ).

fof(f337,plain,
    ( $false
    | ~ spl4_3 ),
    inference(subsumption_resolution,[],[f336,f30]) ).

fof(f30,plain,
    ~ p11(c13,sF1),
    inference(definition_folding,[],[f12,f29,f28]) ).

fof(f29,plain,
    sF1 = f4(c17,sF0),
    introduced(function_definition,[]) ).

fof(f12,axiom,
    ~ p11(c13,f4(c17,f5(c18))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_12) ).

fof(f336,plain,
    ( p11(c13,sF1)
    | ~ spl4_3 ),
    inference(resolution,[],[f335,f3]) ).

fof(f335,plain,
    ( ! [X0] :
        ( ~ p7(c13,X0)
        | p11(X0,sF1) )
    | ~ spl4_3 ),
    inference(forward_demodulation,[],[f332,f29]) ).

fof(f332,plain,
    ( ! [X0] :
        ( ~ p7(c13,X0)
        | p11(X0,f4(c17,sF0)) )
    | ~ spl4_3 ),
    inference(resolution,[],[f159,f169]) ).

fof(f169,plain,
    ! [X8] : p3(f4(X8,f6(c18)),f4(X8,sF0)),
    inference(resolution,[],[f123,f57]) ).

fof(f123,plain,
    ! [X2,X0,X1] :
      ( ~ p2(X0,X1)
      | p3(f4(X2,X0),f4(X2,X1)) ),
    inference(resolution,[],[f26,f4]) ).

fof(f159,plain,
    ( ! [X0,X1] :
        ( ~ p3(f4(c17,f6(c18)),X0)
        | p11(X1,X0)
        | ~ p7(c13,X1) )
    | ~ spl4_3 ),
    inference(resolution,[],[f153,f25]) ).

fof(f153,plain,
    ( p11(c13,f4(c17,f6(c18)))
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f151,plain,
    ( spl4_3
  <=> p11(c13,f4(c17,f6(c18))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f158,plain,
    ( spl4_3
    | spl4_4 ),
    inference(avatar_split_clause,[],[f149,f155,f151]) ).

fof(f149,plain,
    ( p11(c13,f4(f6(c18),c17))
    | p11(c13,f4(c17,f6(c18))) ),
    inference(subsumption_resolution,[],[f147,f32]) ).

fof(f147,plain,
    ( p11(c13,f4(f6(c18),c17))
    | p11(c13,f4(c17,f6(c18)))
    | ~ p12(c14,sF2) ),
    inference(superposition,[],[f27,f31]) ).

fof(f27,axiom,
    ! [X36] :
      ( ~ p12(c14,f4(X36,c17))
      | p11(c13,f4(c17,f6(X36)))
      | p11(c13,f4(f6(X36),c17)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_27) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem    : SYN592-1 : TPTP v8.1.0. Released v2.5.0.
% 0.09/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 30 21:55:01 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.51  % (27530)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51  % (27538)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52  % (27542)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  % (27527)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52  % (27534)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)
% 0.21/0.53  % (27527)Instruction limit reached!
% 0.21/0.53  % (27527)------------------------------
% 0.21/0.53  % (27527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (27523)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (27546)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)
% 0.21/0.53  % (27528)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53  % (27525)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.53  % (27528)Instruction limit reached!
% 0.21/0.53  % (27528)------------------------------
% 0.21/0.53  % (27528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (27528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (27528)Termination reason: Unknown
% 0.21/0.53  % (27528)Termination phase: Property scanning
% 0.21/0.53  
% 0.21/0.53  % (27528)Memory used [KB]: 895
% 0.21/0.53  % (27528)Time elapsed: 0.002 s
% 0.21/0.53  % (27528)Instructions burned: 2 (million)
% 0.21/0.53  % (27528)------------------------------
% 0.21/0.53  % (27528)------------------------------
% 0.21/0.53  % (27536)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.53  % (27544)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.53  % (27527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (27527)Termination reason: Unknown
% 0.21/0.53  % (27527)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (27527)Memory used [KB]: 5500
% 0.21/0.53  % (27527)Time elapsed: 0.094 s
% 0.21/0.53  % (27527)Instructions burned: 8 (million)
% 0.21/0.53  % (27527)------------------------------
% 0.21/0.53  % (27527)------------------------------
% 0.21/0.53  % (27526)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  % (27522)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.54  % (27532)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.54  % (27529)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)
% 0.21/0.55  % (27548)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.55  % (27521)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55  % (27521)Refutation not found, incomplete strategy% (27521)------------------------------
% 0.21/0.55  % (27521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (27521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (27521)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55  
% 0.21/0.55  % (27521)Memory used [KB]: 5373
% 0.21/0.55  % (27521)Time elapsed: 0.128 s
% 0.21/0.55  % (27521)Instructions burned: 2 (million)
% 0.21/0.55  % (27521)------------------------------
% 0.21/0.55  % (27521)------------------------------
% 0.21/0.55  % (27549)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.55  % (27537)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55  TRYING [1]
% 0.21/0.55  TRYING [2]
% 0.21/0.55  TRYING [3]
% 0.21/0.55  % (27547)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.55  TRYING [1]
% 0.21/0.55  % (27545)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.55  TRYING [2]
% 0.21/0.56  TRYING [3]
% 0.21/0.56  % (27540)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)
% 0.21/0.56  TRYING [4]
% 0.21/0.56  % (27541)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.56  % (27520)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.56  TRYING [1]
% 0.21/0.56  TRYING [2]
% 0.21/0.56  TRYING [3]
% 0.21/0.56  % (27524)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.57  % (27531)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.57  TRYING [4]
% 0.21/0.57  % (27533)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.57  % (27539)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.58  TRYING [4]
% 0.21/0.58  % (27548)First to succeed.
% 0.21/0.58  % (27543)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)
% 0.21/0.58  % (27548)Refutation found. Thanks to Tanya!
% 0.21/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.58  % (27548)------------------------------
% 0.21/0.58  % (27548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (27548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (27548)Termination reason: Refutation
% 0.21/0.58  
% 0.21/0.58  % (27548)Memory used [KB]: 5756
% 0.21/0.58  % (27548)Time elapsed: 0.165 s
% 0.21/0.58  % (27548)Instructions burned: 19 (million)
% 0.21/0.58  % (27548)------------------------------
% 0.21/0.58  % (27548)------------------------------
% 0.21/0.58  % (27519)Success in time 0.206 s
%------------------------------------------------------------------------------