TSTP Solution File: SYN713-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN713-1 : 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 : n006.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 19:39:20 EDT 2022

% Result   : Unsatisfiable 0.20s 0.61s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   54 (  32 unt;   0 def)
%            Number of atoms       :   91 (  13 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   70 (  33   ~;  37   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :   41 (  41 usr;  28 con; 0-2 aty)
%            Number of variables   :   50 (  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f796,plain,
    $false,
    inference(subsumption_resolution,[],[f795,f128]) ).

fof(f128,plain,
    ~ p57(sF15,c77),
    inference(definition_folding,[],[f39,f127,f126,f125]) ).

fof(f125,plain,
    f41(c78,c64) = sF13,
    introduced(function_definition,[]) ).

fof(f126,plain,
    f28(c71,sF13) = sF14,
    introduced(function_definition,[]) ).

fof(f127,plain,
    f26(sF14,c67) = sF15,
    introduced(function_definition,[]) ).

fof(f39,axiom,
    ~ p57(f26(f28(c71,f41(c78,c64)),c67),c77),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p57_39) ).

fof(f795,plain,
    p57(sF15,c77),
    inference(forward_demodulation,[],[f789,f127]) ).

fof(f789,plain,
    p57(f26(sF14,c67),c77),
    inference(resolution,[],[f783,f329]) ).

fof(f329,plain,
    ! [X0,X1] :
      ( ~ p57(f26(sF13,X0),X1)
      | p57(f26(sF14,X0),X1) ),
    inference(superposition,[],[f74,f126]) ).

fof(f74,axiom,
    ! [X104,X102,X103] :
      ( p57(f26(f28(c71,X102),X103),X104)
      | ~ p57(f26(X102,X103),X104) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p57_74) ).

fof(f783,plain,
    p57(f26(sF13,c67),c77),
    inference(forward_demodulation,[],[f781,f125]) ).

fof(f781,plain,
    p57(f26(f41(c78,c64),c67),c77),
    inference(resolution,[],[f769,f269]) ).

fof(f269,plain,
    ! [X0,X1] :
      ( ~ p56(f11(c65,f14(sF6,f23(c74,X0))),X1)
      | p57(f26(f41(c78,X1),c67),X0) ),
    inference(superposition,[],[f101,f115]) ).

fof(f115,plain,
    f17(c66,c67) = sF6,
    introduced(function_definition,[]) ).

fof(f101,axiom,
    ! [X205,X206,X207] :
      ( ~ p56(f11(c65,f14(f17(c66,X206),f23(c74,X207))),X205)
      | p57(f26(f41(c78,X205),X206),X207) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p57_101) ).

fof(f769,plain,
    p56(f11(c65,f14(sF6,f23(c74,c77))),c64),
    inference(resolution,[],[f767,f372]) ).

fof(f372,plain,
    p10(sF7,f14(sF6,f23(c74,c77))),
    inference(resolution,[],[f369,f285]) ).

fof(f285,plain,
    ! [X7] :
      ( ~ p13(c68,X7)
      | p10(sF7,f14(sF6,X7)) ),
    inference(superposition,[],[f188,f116]) ).

fof(f116,plain,
    sF7 = f14(sF6,c68),
    introduced(function_definition,[]) ).

fof(f188,plain,
    ! [X2,X0,X1] :
      ( p10(f14(X0,X1),f14(X0,X2))
      | ~ p13(X1,X2) ),
    inference(resolution,[],[f81,f34]) ).

fof(f34,axiom,
    ! [X33] : p12(X33,X33),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_34) ).

fof(f81,axiom,
    ! [X126,X127,X125,X128] :
      ( ~ p12(X125,X127)
      | p10(f14(X125,X126),f14(X127,X128))
      | ~ p13(X126,X128) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_81) ).

fof(f369,plain,
    p13(c68,f23(c74,c77)),
    inference(subsumption_resolution,[],[f368,f124]) ).

fof(f124,plain,
    ~ p58(sF12,sF3),
    inference(definition_folding,[],[f80,f110,f107,f123,f122,f106]) ).

fof(f106,plain,
    f33(c75,c76) = sF0,
    introduced(function_definition,[]) ).

fof(f122,plain,
    f23(c69,c77) = sF11,
    introduced(function_definition,[]) ).

fof(f123,plain,
    f31(sF0,sF11) = sF12,
    introduced(function_definition,[]) ).

fof(f107,plain,
    f22(c70,c69) = sF1,
    introduced(function_definition,[]) ).

fof(f110,plain,
    f19(sF1,c68) = sF3,
    introduced(function_definition,[]) ).

fof(f80,axiom,
    ~ p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p58_80) ).

fof(f368,plain,
    ( p58(sF12,sF3)
    | p13(c68,f23(c74,c77)) ),
    inference(forward_demodulation,[],[f367,f110]) ).

fof(f367,plain,
    ( p13(c68,f23(c74,c77))
    | p58(sF12,f19(sF1,c68)) ),
    inference(subsumption_resolution,[],[f366,f121]) ).

fof(f121,plain,
    p59(sF9,sF10),
    inference(definition_folding,[],[f35,f120,f119]) ).

fof(f119,plain,
    f38(c72,c77) = sF9,
    introduced(function_definition,[]) ).

fof(f120,plain,
    f35(c73,c68) = sF10,
    introduced(function_definition,[]) ).

fof(f35,axiom,
    p59(f38(c72,c77),f35(c73,c68)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p59_35) ).

fof(f366,plain,
    ( p58(sF12,f19(sF1,c68))
    | p13(c68,f23(c74,c77))
    | ~ p59(sF9,sF10) ),
    inference(superposition,[],[f295,f120]) ).

fof(f295,plain,
    ! [X0] :
      ( ~ p59(sF9,f35(c73,X0))
      | p13(X0,f23(c74,c77))
      | p58(sF12,f19(sF1,X0)) ),
    inference(forward_demodulation,[],[f294,f123]) ).

fof(f294,plain,
    ! [X0] :
      ( p13(X0,f23(c74,c77))
      | p58(f31(sF0,sF11),f19(sF1,X0))
      | ~ p59(sF9,f35(c73,X0)) ),
    inference(forward_demodulation,[],[f291,f122]) ).

fof(f291,plain,
    ! [X0] :
      ( p58(f31(sF0,f23(c69,c77)),f19(sF1,X0))
      | ~ p59(sF9,f35(c73,X0))
      | p13(X0,f23(c74,c77)) ),
    inference(superposition,[],[f108,f119]) ).

fof(f108,plain,
    ! [X212,X211] :
      ( ~ p59(f38(c72,X212),f35(c73,X211))
      | p58(f31(sF0,f23(c69,X212)),f19(sF1,X211))
      | p13(X211,f23(c74,X212)) ),
    inference(definition_folding,[],[f105,f107,f106]) ).

fof(f105,axiom,
    ! [X212,X211] :
      ( p58(f31(f33(c75,c76),f23(c69,X212)),f19(f22(c70,c69),X211))
      | p13(X211,f23(c74,X212))
      | ~ p59(f38(c72,X212),f35(c73,X211)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13_105) ).

fof(f767,plain,
    ! [X0] :
      ( ~ p10(sF7,X0)
      | p56(f11(c65,X0),c64) ),
    inference(resolution,[],[f712,f14]) ).

fof(f14,axiom,
    ! [X13] : p40(X13,X13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p40_14) ).

fof(f712,plain,
    ! [X0,X1] :
      ( ~ p40(c64,X1)
      | p56(f11(c65,X0),X1)
      | ~ p10(sF7,X0) ),
    inference(resolution,[],[f528,f118]) ).

fof(f118,plain,
    p56(sF8,c64),
    inference(definition_folding,[],[f38,f117,f116,f115]) ).

fof(f117,plain,
    sF8 = f11(c65,sF7),
    introduced(function_definition,[]) ).

fof(f38,axiom,
    p56(f11(c65,f14(f17(c66,c67),c68)),c64),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p56_38) ).

fof(f528,plain,
    ! [X2,X0,X1] :
      ( ~ p56(sF8,X0)
      | ~ p10(sF7,X1)
      | ~ p40(X0,X2)
      | p56(f11(c65,X1),X2) ),
    inference(superposition,[],[f205,f117]) ).

fof(f205,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p56(f11(X4,X0),X2)
      | ~ p10(X0,X1)
      | p56(f11(X4,X1),X3)
      | ~ p40(X2,X3) ),
    inference(resolution,[],[f204,f76]) ).

fof(f76,axiom,
    ! [X111,X109,X112,X110] :
      ( ~ p4(X112,X109)
      | ~ p40(X111,X110)
      | p56(X109,X110)
      | ~ p56(X112,X111) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p56_76) ).

fof(f204,plain,
    ! [X2,X0,X1] :
      ( p4(f11(X2,X0),f11(X2,X1))
      | ~ p10(X0,X1) ),
    inference(resolution,[],[f87,f2]) ).

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

fof(f87,axiom,
    ! [X152,X150,X151,X149] :
      ( ~ p9(X149,X151)
      | ~ p10(X150,X152)
      | p4(f11(X149,X150),f11(X151,X152)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_87) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN713-1 : 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
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 22:16:39 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.53  % (27267)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)
% 0.20/0.53  % (27259)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)
% 0.20/0.53  % (27245)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)
% 0.20/0.54  % (27251)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  % (27257)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (27245)Refutation not found, incomplete strategy% (27245)------------------------------
% 0.20/0.55  % (27245)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (27245)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (27245)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55  
% 0.20/0.55  % (27245)Memory used [KB]: 5628
% 0.20/0.55  % (27245)Time elapsed: 0.131 s
% 0.20/0.55  % (27245)Instructions burned: 5 (million)
% 0.20/0.55  % (27245)------------------------------
% 0.20/0.55  % (27245)------------------------------
% 0.20/0.55  % (27261)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55  % (27251)Instruction limit reached!
% 0.20/0.55  % (27251)------------------------------
% 0.20/0.55  % (27251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (27249)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)
% 0.20/0.56  % (27247)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)
% 0.20/0.56  % (27248)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56  % (27253)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)
% 0.20/0.56  % (27246)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)
% 0.20/0.56  % (27258)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)
% 0.20/0.57  % (27251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (27251)Termination reason: Unknown
% 0.20/0.57  % (27251)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (27251)Memory used [KB]: 5628
% 0.20/0.57  % (27251)Time elapsed: 0.089 s
% 0.20/0.57  % (27251)Instructions burned: 8 (million)
% 0.20/0.57  % (27251)------------------------------
% 0.20/0.57  % (27251)------------------------------
% 0.20/0.58  TRYING [1]
% 0.20/0.58  % (27269)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.58  % (27244)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)
% 0.20/0.58  % (27250)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)
% 0.20/0.59  % (27270)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)
% 0.20/0.59  % (27266)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)
% 0.20/0.59  % (27271)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)
% 0.20/0.59  % (27260)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)
% 0.20/0.59  % (27265)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.60  TRYING [2]
% 0.20/0.60  % (27262)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.60  % (27252)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.60  % (27268)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.60  % (27273)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)
% 0.20/0.60  % (27264)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)
% 0.20/0.61  % (27255)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)
% 0.20/0.61  % (27259)First to succeed.
% 0.20/0.61  % (27256)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.61  % (27267)Also succeeded, but the first one will report.
% 0.20/0.61  % (27259)Refutation found. Thanks to Tanya!
% 0.20/0.61  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.61  % (27259)------------------------------
% 0.20/0.61  % (27259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (27259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (27259)Termination reason: Refutation
% 0.20/0.61  
% 0.20/0.61  % (27259)Memory used [KB]: 1535
% 0.20/0.61  % (27259)Time elapsed: 0.147 s
% 0.20/0.61  % (27259)Instructions burned: 44 (million)
% 0.20/0.61  % (27259)------------------------------
% 0.20/0.61  % (27259)------------------------------
% 0.20/0.61  % (27243)Success in time 0.261 s
%------------------------------------------------------------------------------