TSTP Solution File: SYN620-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN620-1 : 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 : n014.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 19:39:05 EDT 2022

% Result   : Unsatisfiable 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   28 (  20 unt;   0 def)
%            Number of atoms       :   41 (   9 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   28 (  15   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  14 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f351,plain,
    $false,
    inference(subsumption_resolution,[],[f347,f46]) ).

fof(f46,plain,
    ~ p20(sF5,sF8),
    inference(definition_folding,[],[f33,f45,f44,f39,f41,f40,f37,f36,f35,f39]) ).

fof(f35,plain,
    f7(c25) = sF0,
    introduced(function_definition,[]) ).

fof(f36,plain,
    f15(sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f37,plain,
    sF2 = f14(sF1),
    introduced(function_definition,[]) ).

fof(f40,plain,
    sF4 = f13(sF3,sF2),
    introduced(function_definition,[]) ).

fof(f41,plain,
    f12(sF4) = sF5,
    introduced(function_definition,[]) ).

fof(f39,plain,
    f6(c22) = sF3,
    introduced(function_definition,[]) ).

fof(f44,plain,
    sF7 = f13(sF3,c27),
    introduced(function_definition,[]) ).

fof(f45,plain,
    sF8 = f12(sF7),
    introduced(function_definition,[]) ).

fof(f33,axiom,
    ~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p20_33) ).

fof(f347,plain,
    p20(sF5,sF8),
    inference(resolution,[],[f293,f284]) ).

fof(f284,plain,
    ! [X0,X1] :
      ( ~ p11(f12(f13(sF6,X0)),X1)
      | p20(sF5,X1) ),
    inference(resolution,[],[f101,f5]) ).

fof(f5,axiom,
    ! [X4] : p11(X4,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_5) ).

fof(f101,plain,
    ! [X2,X0,X1] :
      ( ~ p11(sF5,X2)
      | ~ p11(f12(f13(sF6,X0)),X1)
      | p20(X2,X1) ),
    inference(resolution,[],[f28,f43]) ).

fof(f43,plain,
    ! [X58] : p20(sF5,f12(f13(sF6,X58))),
    inference(definition_folding,[],[f32,f42,f41,f40,f37,f36,f35,f39]) ).

fof(f42,plain,
    f6(c24) = sF6,
    introduced(function_definition,[]) ).

fof(f32,axiom,
    ! [X58] : p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X58))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_32) ).

fof(f28,axiom,
    ! [X44,X45,X42,X43] :
      ( ~ p20(X45,X44)
      | ~ p11(X44,X43)
      | p20(X42,X43)
      | ~ p11(X45,X42) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_28) ).

fof(f293,plain,
    p11(f12(f13(sF6,f16(c26,c27))),sF8),
    inference(resolution,[],[f203,f234]) ).

fof(f234,plain,
    p10(sF7,f13(sF6,f16(c26,c27))),
    inference(superposition,[],[f52,f44]) ).

fof(f52,plain,
    ! [X33] : p10(f13(sF3,X33),f13(sF6,f16(c26,X33))),
    inference(definition_folding,[],[f24,f42,f39]) ).

fof(f24,axiom,
    ! [X33] : p10(f13(f6(c22),X33),f13(f6(c24),f16(c26,X33))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_24) ).

fof(f203,plain,
    ! [X0] :
      ( ~ p10(sF7,X0)
      | p11(f12(X0),sF8) ),
    inference(superposition,[],[f128,f45]) ).

fof(f128,plain,
    ! [X3,X4] :
      ( p11(f12(X4),f12(X3))
      | ~ p10(X3,X4) ),
    inference(resolution,[],[f82,f5]) ).

fof(f82,plain,
    ! [X6,X7,X5] :
      ( ~ p11(f12(X5),X6)
      | ~ p10(X5,X7)
      | p11(f12(X7),X6) ),
    inference(resolution,[],[f23,f18]) ).

fof(f18,axiom,
    ! [X21,X22] :
      ( p11(f12(X21),f12(X22))
      | ~ p10(X21,X22) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_18) ).

fof(f23,axiom,
    ! [X31,X4,X32] :
      ( ~ p11(X4,X31)
      | ~ p11(X4,X32)
      | p11(X31,X32) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_23) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SYN620-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12  % 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 : n014.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 22:12:33 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (8099)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)
% 0.18/0.49  % (8077)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)
% 0.18/0.49  % (8091)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)
% 0.18/0.50  % (8088)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)
% 0.18/0.50  % (8090)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50  % (8097)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)
% 0.18/0.50  % (8089)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.50  % (8083)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)
% 0.18/0.50  % (8084)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50  TRYING [1]
% 0.18/0.50  TRYING [2]
% 0.18/0.50  TRYING [3]
% 0.18/0.50  % (8092)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)
% 0.18/0.51  TRYING [1]
% 0.18/0.51  TRYING [2]
% 0.18/0.51  % (8105)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.51  % (8102)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.51  % (8084)Instruction limit reached!
% 0.18/0.51  % (8084)------------------------------
% 0.18/0.51  % (8084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (8079)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)
% 0.18/0.51  % (8078)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)
% 0.18/0.51  % (8080)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)
% 0.18/0.51  % (8081)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (8082)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)
% 0.18/0.51  % (8078)Refutation not found, incomplete strategy% (8078)------------------------------
% 0.18/0.51  % (8078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (8078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (8078)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (8078)Memory used [KB]: 5373
% 0.18/0.51  % (8078)Time elapsed: 0.128 s
% 0.18/0.51  % (8078)Instructions burned: 2 (million)
% 0.18/0.51  % (8078)------------------------------
% 0.18/0.51  % (8078)------------------------------
% 0.18/0.51  % (8084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (8084)Termination reason: Unknown
% 0.18/0.51  % (8084)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (8084)Memory used [KB]: 5500
% 0.18/0.51  % (8084)Time elapsed: 0.134 s
% 0.18/0.51  % (8084)Instructions burned: 7 (million)
% 0.18/0.51  % (8084)------------------------------
% 0.18/0.51  % (8084)------------------------------
% 0.18/0.52  TRYING [3]
% 0.18/0.52  % (8087)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52  TRYING [4]
% 0.18/0.52  % (8085)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52  % (8085)Instruction limit reached!
% 0.18/0.52  % (8085)------------------------------
% 0.18/0.52  % (8085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (8085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (8085)Termination reason: Unknown
% 0.18/0.52  % (8085)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (8085)Memory used [KB]: 895
% 0.18/0.52  % (8085)Time elapsed: 0.002 s
% 0.18/0.52  % (8085)Instructions burned: 2 (million)
% 0.18/0.52  % (8085)------------------------------
% 0.18/0.52  % (8085)------------------------------
% 0.18/0.52  % (8094)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.52  TRYING [1]
% 0.18/0.52  TRYING [2]
% 0.18/0.52  % (8093)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)
% 0.18/0.52  TRYING [3]
% 0.18/0.53  % (8104)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)
% 0.18/0.53  % (8103)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)
% 0.18/0.53  % (8086)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)
% 0.18/0.53  % (8092)First to succeed.
% 0.18/0.53  % (8098)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53  % (8101)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.53  % (8092)Refutation found. Thanks to Tanya!
% 0.18/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53  % (8092)------------------------------
% 0.18/0.53  % (8092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (8092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (8092)Termination reason: Refutation
% 0.18/0.53  
% 0.18/0.53  % (8092)Memory used [KB]: 1151
% 0.18/0.53  % (8092)Time elapsed: 0.148 s
% 0.18/0.53  % (8092)Instructions burned: 19 (million)
% 0.18/0.53  % (8092)------------------------------
% 0.18/0.53  % (8092)------------------------------
% 0.18/0.53  % (8076)Success in time 0.191 s
%------------------------------------------------------------------------------