TSTP Solution File: SYN624-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN624-1 : 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 19:39:06 EDT 2022

% Result   : Unsatisfiable 1.56s 0.57s
% Output   : Refutation 1.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   44 (  28 unt;   0 def)
%            Number of atoms       :   64 (  13 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   42 (  22   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  11 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1460,plain,
    $false,
    inference(subsumption_resolution,[],[f1456,f43]) ).

fof(f43,plain,
    ~ p10(sF1,sF6),
    inference(definition_folding,[],[f28,f42,f41,f40,f39,f38,f37,f36]) ).

fof(f36,plain,
    f6(c24) = sF0,
    introduced(function_definition,[]) ).

fof(f37,plain,
    sF1 = f13(sF0,c26),
    introduced(function_definition,[]) ).

fof(f38,plain,
    f6(c22) = sF2,
    introduced(function_definition,[]) ).

fof(f39,plain,
    f7(c25) = sF3,
    introduced(function_definition,[]) ).

fof(f40,plain,
    f15(sF3) = sF4,
    introduced(function_definition,[]) ).

fof(f41,plain,
    sF5 = f14(sF4),
    introduced(function_definition,[]) ).

fof(f42,plain,
    f13(sF2,sF5) = sF6,
    introduced(function_definition,[]) ).

fof(f28,axiom,
    ~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_28) ).

fof(f1456,plain,
    p10(sF1,sF6),
    inference(resolution,[],[f1440,f1191]) ).

fof(f1191,plain,
    ! [X0] :
      ( ~ p10(X0,sF16(sF5))
      | p10(X0,sF6) ),
    inference(resolution,[],[f464,f831]) ).

fof(f831,plain,
    ! [X4,X5] :
      ( p10(sF18(X4),X5)
      | ~ p10(X5,X4) ),
    inference(resolution,[],[f414,f195]) ).

fof(f195,plain,
    ! [X2,X1] :
      ( p10(X1,sF18(X2))
      | ~ p10(X2,X1) ),
    inference(resolution,[],[f187,f21]) ).

fof(f21,axiom,
    ! [X0,X24,X25] :
      ( ~ p10(X0,X25)
      | p10(X24,X25)
      | ~ p10(X0,X24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_21) ).

fof(f187,plain,
    ! [X1] : p10(X1,sF18(X1)),
    inference(resolution,[],[f178,f64]) ).

fof(f64,plain,
    ! [X7] : p10(sF18(X7),X7),
    inference(definition_folding,[],[f11,f63,f41,f40,f39]) ).

fof(f63,plain,
    ! [X7] : sF18(X7) = f16(X7,sF5),
    introduced(function_definition,[]) ).

fof(f11,axiom,
    ! [X7] : p10(f16(X7,f14(f15(f7(c25)))),X7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_11) ).

fof(f178,plain,
    ! [X0,X1] :
      ( ~ p10(X1,X0)
      | p10(X0,X1) ),
    inference(resolution,[],[f21,f1]) ).

fof(f1,axiom,
    ! [X0] : p10(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).

fof(f414,plain,
    ! [X6,X7] :
      ( ~ p10(X6,sF18(X7))
      | p10(sF18(X6),X7) ),
    inference(resolution,[],[f195,f179]) ).

fof(f179,plain,
    ! [X2,X3] :
      ( ~ p10(sF18(X3),X2)
      | p10(X2,X3) ),
    inference(resolution,[],[f21,f64]) ).

fof(f464,plain,
    ! [X0] :
      ( ~ p10(sF18(sF16(sF5)),X0)
      | p10(X0,sF6) ),
    inference(resolution,[],[f447,f21]) ).

fof(f447,plain,
    p10(sF18(sF16(sF5)),sF6),
    inference(resolution,[],[f206,f187]) ).

fof(f206,plain,
    ! [X0] :
      ( ~ p10(sF16(sF5),X0)
      | p10(X0,sF6) ),
    inference(resolution,[],[f193,f21]) ).

fof(f193,plain,
    p10(sF16(sF5),sF6),
    inference(resolution,[],[f178,f72]) ).

fof(f72,plain,
    p10(sF6,sF16(sF5)),
    inference(superposition,[],[f59,f71]) ).

fof(f71,plain,
    sF6 = sF14(sF5),
    inference(superposition,[],[f42,f56]) ).

fof(f56,plain,
    ! [X34] : f13(sF2,X34) = sF14(X34),
    introduced(function_definition,[]) ).

fof(f59,plain,
    ! [X34] : p10(sF14(X34),sF16(X34)),
    inference(definition_folding,[],[f26,f58,f57,f36,f56,f38]) ).

fof(f57,plain,
    ! [X34] : f16(c26,X34) = sF15(X34),
    introduced(function_definition,[]) ).

fof(f58,plain,
    ! [X34] : f13(sF0,sF15(X34)) = sF16(X34),
    introduced(function_definition,[]) ).

fof(f26,axiom,
    ! [X34] : p10(f13(f6(c22),X34),f13(f6(c24),f16(c26,X34))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_26) ).

fof(f1440,plain,
    p10(sF1,sF16(sF5)),
    inference(subsumption_resolution,[],[f1438,f1]) ).

fof(f1438,plain,
    ( ~ p10(c26,c26)
    | p10(sF1,sF16(sF5)) ),
    inference(resolution,[],[f1225,f936]) ).

fof(f936,plain,
    ! [X0] :
      ( p10(X0,sF15(sF5))
      | ~ p10(X0,c26) ),
    inference(superposition,[],[f886,f73]) ).

fof(f73,plain,
    sF18(c26) = sF15(sF5),
    inference(superposition,[],[f63,f57]) ).

fof(f886,plain,
    ! [X4,X5] :
      ( p10(X4,sF18(X5))
      | ~ p10(X4,X5) ),
    inference(resolution,[],[f831,f178]) ).

fof(f1225,plain,
    ! [X2] :
      ( ~ p10(c26,sF15(X2))
      | p10(sF1,sF16(X2)) ),
    inference(subsumption_resolution,[],[f1220,f2]) ).

fof(f2,axiom,
    ! [X1] : p5(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_2) ).

fof(f1220,plain,
    ! [X2] :
      ( ~ p10(c26,sF15(X2))
      | p10(sF1,sF16(X2))
      | ~ p5(sF0,sF0) ),
    inference(superposition,[],[f425,f58]) ).

fof(f425,plain,
    ! [X0,X1] :
      ( p10(sF1,f13(X0,X1))
      | ~ p10(c26,X1)
      | ~ p5(sF0,X0) ),
    inference(superposition,[],[f32,f37]) ).

fof(f32,axiom,
    ! [X50,X51,X48,X49] :
      ( p10(f13(X48,X49),f13(X50,X51))
      | ~ p5(X48,X50)
      | ~ p10(X49,X51) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_32) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem    : SYN624-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 22:33:04 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.46  % (20265)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.47  % (20273)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.50  % (20262)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (20256)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (20263)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)
% 0.19/0.51  % (20252)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)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  TRYING [2]
% 0.19/0.52  % (20280)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52  % (20254)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)
% 0.19/0.52  % (20281)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)
% 0.19/0.52  % (20255)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)
% 0.19/0.52  % (20274)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)
% 0.19/0.52  % (20257)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)
% 0.19/0.52  % (20264)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52  % (20266)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)
% 0.19/0.52  % (20275)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)
% 0.19/0.52  % (20269)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  TRYING [2]
% 0.19/0.53  % (20267)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)
% 0.19/0.53  TRYING [3]
% 0.19/0.53  % (20278)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)
% 0.19/0.53  % (20258)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)
% 0.19/0.53  % (20253)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)
% 1.45/0.53  % (20261)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)
% 1.45/0.53  % (20279)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)
% 1.45/0.53  % (20259)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.45/0.53  % (20268)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)
% 1.45/0.53  % (20253)Refutation not found, incomplete strategy% (20253)------------------------------
% 1.45/0.53  % (20253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53  % (20253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53  % (20253)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.53  
% 1.45/0.53  % (20253)Memory used [KB]: 5373
% 1.45/0.53  % (20253)Time elapsed: 0.138 s
% 1.45/0.53  % (20253)Instructions burned: 2 (million)
% 1.45/0.53  % (20253)------------------------------
% 1.45/0.53  % (20253)------------------------------
% 1.45/0.54  % (20277)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.45/0.54  % (20259)Instruction limit reached!
% 1.45/0.54  % (20259)------------------------------
% 1.45/0.54  % (20259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54  % (20259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54  % (20259)Termination reason: Unknown
% 1.45/0.54  % (20259)Termination phase: Saturation
% 1.45/0.54  
% 1.45/0.54  % (20259)Memory used [KB]: 5500
% 1.45/0.54  % (20259)Time elapsed: 0.143 s
% 1.45/0.54  % (20259)Instructions burned: 7 (million)
% 1.45/0.54  % (20259)------------------------------
% 1.45/0.54  % (20259)------------------------------
% 1.45/0.54  TRYING [3]
% 1.45/0.54  % (20276)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.45/0.54  % (20271)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)
% 1.45/0.54  % (20260)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.45/0.54  % (20260)Instruction limit reached!
% 1.45/0.54  % (20260)------------------------------
% 1.45/0.54  % (20260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54  % (20260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54  % (20260)Termination reason: Unknown
% 1.45/0.54  % (20260)Termination phase: Blocked clause elimination
% 1.45/0.54  
% 1.45/0.54  % (20260)Memory used [KB]: 895
% 1.45/0.54  % (20260)Time elapsed: 0.004 s
% 1.45/0.54  % (20260)Instructions burned: 2 (million)
% 1.45/0.54  % (20260)------------------------------
% 1.45/0.54  % (20260)------------------------------
% 1.45/0.54  TRYING [4]
% 1.45/0.54  TRYING [1]
% 1.45/0.54  TRYING [2]
% 1.45/0.54  % (20272)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)
% 1.45/0.55  TRYING [3]
% 1.56/0.55  % (20265)First to succeed.
% 1.56/0.55  % (20270)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.56/0.55  TRYING [4]
% 1.56/0.56  TRYING [4]
% 1.56/0.57  % (20265)Refutation found. Thanks to Tanya!
% 1.56/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.56/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.57  % (20265)------------------------------
% 1.56/0.57  % (20265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57  % (20265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57  % (20265)Termination reason: Refutation
% 1.56/0.57  
% 1.56/0.57  % (20265)Memory used [KB]: 6012
% 1.56/0.57  % (20265)Time elapsed: 0.140 s
% 1.56/0.57  % (20265)Instructions burned: 56 (million)
% 1.56/0.57  % (20265)------------------------------
% 1.56/0.57  % (20265)------------------------------
% 1.56/0.57  % (20251)Success in time 0.224 s
%------------------------------------------------------------------------------