TSTP Solution File: SYN628-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN628-1 : 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 19:39:07 EDT 2022

% Result   : Unsatisfiable 0.21s 0.57s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   53 (  31 unt;   0 def)
%            Number of atoms       :   86 (  14 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   69 (  36   ~;  33   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   31 (  31 usr;  21 con; 0-2 aty)
%            Number of variables   :   43 (  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f371,plain,
    $false,
    inference(subsumption_resolution,[],[f369,f318]) ).

fof(f318,plain,
    p9(sF11,sF14),
    inference(forward_demodulation,[],[f313,f50]) ).

fof(f50,plain,
    f16(sF10) = sF11,
    introduced(function_definition,[]) ).

fof(f313,plain,
    p9(f16(sF10),sF14),
    inference(resolution,[],[f311,f219]) ).

fof(f219,plain,
    ! [X1] :
      ( ~ p9(sF13,X1)
      | p9(f16(X1),sF14) ),
    inference(superposition,[],[f211,f56]) ).

fof(f56,plain,
    f16(sF13) = sF14,
    introduced(function_definition,[]) ).

fof(f211,plain,
    ! [X3,X4] :
      ( p9(f16(X4),f16(X3))
      | ~ p9(X3,X4) ),
    inference(resolution,[],[f63,f2]) ).

fof(f2,axiom,
    ! [X1] : p9(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).

fof(f63,plain,
    ! [X3,X4,X5] :
      ( ~ p9(f16(X3),X4)
      | ~ p9(X3,X5)
      | p9(f16(X5),X4) ),
    inference(resolution,[],[f20,f13]) ).

fof(f13,axiom,
    ! [X6,X5] :
      ( p9(f16(X5),f16(X6))
      | ~ p9(X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_13) ).

fof(f20,axiom,
    ! [X1,X19,X20] :
      ( ~ p9(X1,X19)
      | ~ p9(X1,X20)
      | p9(X19,X20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_20) ).

fof(f311,plain,
    p9(sF13,sF10),
    inference(forward_demodulation,[],[f310,f55]) ).

fof(f55,plain,
    f17(c22,c27) = sF13,
    introduced(function_definition,[]) ).

fof(f310,plain,
    p9(f17(c22,c27),sF10),
    inference(subsumption_resolution,[],[f309,f2]) ).

fof(f309,plain,
    ( ~ p9(c28,c28)
    | p9(f17(c22,c27),sF10) ),
    inference(resolution,[],[f283,f62]) ).

fof(f62,plain,
    ! [X2] :
      ( p9(c22,X2)
      | ~ p9(c28,X2) ),
    inference(resolution,[],[f20,f6]) ).

fof(f6,axiom,
    p9(c28,c22),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_6) ).

fof(f283,plain,
    ! [X0] :
      ( ~ p9(X0,c28)
      | p9(f17(X0,c27),sF10) ),
    inference(resolution,[],[f183,f2]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( ~ p9(X1,c27)
      | ~ p9(X0,c28)
      | p9(f17(X0,X1),sF10) ),
    inference(superposition,[],[f29,f49]) ).

fof(f49,plain,
    f17(c28,c27) = sF10,
    introduced(function_definition,[]) ).

fof(f29,axiom,
    ! [X50,X48,X49,X47] :
      ( p9(f17(X47,X48),f17(X49,X50))
      | ~ p9(X47,X49)
      | ~ p9(X48,X50) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_29) ).

fof(f369,plain,
    ~ p9(sF11,sF14),
    inference(resolution,[],[f367,f58]) ).

fof(f58,plain,
    ~ p20(sF14,sF15),
    inference(definition_folding,[],[f35,f57,f43,f42,f41,f40,f44,f38,f37,f56,f55]) ).

fof(f37,plain,
    f8(c24,c25) = sF0,
    introduced(function_definition,[]) ).

fof(f38,plain,
    sF1 = f7(c23,sF0),
    introduced(function_definition,[]) ).

fof(f44,plain,
    f15(sF1,c22) = sF7,
    introduced(function_definition,[]) ).

fof(f40,plain,
    f14(c29) = sF3,
    introduced(function_definition,[]) ).

fof(f41,plain,
    sF4 = f13(sF3),
    introduced(function_definition,[]) ).

fof(f42,plain,
    f12(sF4) = sF5,
    introduced(function_definition,[]) ).

fof(f43,plain,
    f11(sF5) = sF6,
    introduced(function_definition,[]) ).

fof(f57,plain,
    f10(sF7,sF6) = sF15,
    introduced(function_definition,[]) ).

fof(f35,axiom,
    ~ p20(f16(f17(c22,c27)),f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p20_35) ).

fof(f367,plain,
    ! [X0] :
      ( p20(X0,sF15)
      | ~ p9(sF11,X0) ),
    inference(resolution,[],[f362,f106]) ).

fof(f106,plain,
    ! [X6,X7] :
      ( ~ p9(sF12,X6)
      | ~ p9(sF11,X7)
      | p20(X7,X6) ),
    inference(resolution,[],[f26,f52]) ).

fof(f52,plain,
    p20(sF11,sF12),
    inference(definition_folding,[],[f34,f51,f43,f42,f41,f40,f39,f38,f37,f50,f49]) ).

fof(f39,plain,
    sF2 = f15(sF1,c28),
    introduced(function_definition,[]) ).

fof(f51,plain,
    f10(sF2,sF6) = sF12,
    introduced(function_definition,[]) ).

fof(f34,axiom,
    p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_34) ).

fof(f26,axiom,
    ! [X38,X36,X37,X35] :
      ( ~ p20(X37,X38)
      | ~ p9(X38,X36)
      | p20(X35,X36)
      | ~ p9(X37,X35) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_26) ).

fof(f362,plain,
    p9(sF12,sF15),
    inference(resolution,[],[f356,f2]) ).

fof(f356,plain,
    ! [X0] :
      ( ~ p9(sF15,X0)
      | p9(sF12,X0) ),
    inference(resolution,[],[f355,f20]) ).

fof(f355,plain,
    p9(sF15,sF12),
    inference(subsumption_resolution,[],[f354,f277]) ).

fof(f277,plain,
    p9(sF7,sF2),
    inference(forward_demodulation,[],[f276,f44]) ).

fof(f276,plain,
    p9(f15(sF1,c22),sF2),
    inference(subsumption_resolution,[],[f274,f2]) ).

fof(f274,plain,
    ( p9(f15(sF1,c22),sF2)
    | ~ p9(c28,c28) ),
    inference(resolution,[],[f255,f62]) ).

fof(f255,plain,
    ! [X0] :
      ( ~ p9(X0,c28)
      | p9(f15(sF1,X0),sF2) ),
    inference(resolution,[],[f177,f1]) ).

fof(f1,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).

fof(f177,plain,
    ! [X0,X1] :
      ( ~ p2(X0,sF1)
      | ~ p9(X1,c28)
      | p9(f15(X0,X1),sF2) ),
    inference(superposition,[],[f30,f39]) ).

fof(f30,axiom,
    ! [X51,X54,X52,X53] :
      ( p9(f15(X51,X52),f15(X53,X54))
      | ~ p2(X51,X53)
      | ~ p9(X52,X54) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_30) ).

fof(f354,plain,
    ( p9(sF15,sF12)
    | ~ p9(sF7,sF2) ),
    inference(superposition,[],[f295,f57]) ).

fof(f295,plain,
    ! [X0] :
      ( p9(f10(X0,sF6),sF12)
      | ~ p9(X0,sF2) ),
    inference(resolution,[],[f187,f2]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( ~ p9(X1,sF6)
      | p9(f10(X0,X1),sF12)
      | ~ p9(X0,sF2) ),
    inference(superposition,[],[f31,f51]) ).

fof(f31,axiom,
    ! [X58,X56,X57,X55] :
      ( p9(f10(X55,X56),f10(X57,X58))
      | ~ p9(X56,X58)
      | ~ p9(X55,X57) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_31) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYN628-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36  % 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 21:57:16 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.51  % (623)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  % (624)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52  % (620)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (631)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)
% 0.21/0.53  % (623)Instruction limit reached!
% 0.21/0.53  % (623)------------------------------
% 0.21/0.53  % (623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (642)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)
% 0.21/0.53  % (647)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)
% 0.21/0.53  % (626)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53  % (624)Instruction limit reached!
% 0.21/0.53  % (624)------------------------------
% 0.21/0.53  % (624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (624)Termination reason: Unknown
% 0.21/0.53  % (624)Termination phase: Blocked clause elimination
% 0.21/0.53  
% 0.21/0.53  % (624)Memory used [KB]: 895
% 0.21/0.53  % (624)Time elapsed: 0.003 s
% 0.21/0.53  % (624)Instructions burned: 2 (million)
% 0.21/0.53  % (624)------------------------------
% 0.21/0.53  % (624)------------------------------
% 0.21/0.53  % (616)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)
% 0.21/0.53  TRYING [1]
% 0.21/0.53  % (625)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)
% 0.21/0.53  TRYING [2]
% 0.21/0.53  % (622)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)
% 0.21/0.54  % (623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (623)Termination reason: Unknown
% 0.21/0.54  % (623)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (623)Memory used [KB]: 5500
% 0.21/0.54  % (623)Time elapsed: 0.107 s
% 0.21/0.54  % (623)Instructions burned: 7 (million)
% 0.21/0.54  % (623)------------------------------
% 0.21/0.54  % (623)------------------------------
% 0.21/0.54  TRYING [3]
% 0.21/0.54  % (630)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)
% 0.21/0.54  % (649)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)
% 0.21/0.54  % (627)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)
% 0.21/0.54  % (641)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)
% 0.21/0.54  % (621)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)
% 0.21/0.55  % (618)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)
% 0.21/0.55  % (617)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  % (636)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55  % (628)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.56  % (619)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)
% 0.21/0.56  % (632)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)
% 0.21/0.56  TRYING [1]
% 0.21/0.56  TRYING [2]
% 0.21/0.56  TRYING [3]
% 0.21/0.56  % (631)First to succeed.
% 0.21/0.56  % (643)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.56  % (646)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)
% 0.21/0.57  % (631)Refutation found. Thanks to Tanya!
% 0.21/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57  % (631)------------------------------
% 0.21/0.57  % (631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (631)Termination reason: Refutation
% 0.21/0.57  
% 0.21/0.57  % (631)Memory used [KB]: 1151
% 0.21/0.57  % (631)Time elapsed: 0.146 s
% 0.21/0.57  % (631)Instructions burned: 20 (million)
% 0.21/0.57  % (631)------------------------------
% 0.21/0.57  % (631)------------------------------
% 0.21/0.57  % (614)Success in time 0.197 s
%------------------------------------------------------------------------------