TSTP Solution File: GRP594-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP594-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n010.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 16:16:37 EDT 2022
% Result : Unsatisfiable 1.77s 0.58s
% Output : Refutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f237,plain,
$false,
inference(subsumption_resolution,[],[f236,f202]) ).
fof(f202,plain,
! [X7] : inverse(inverse(X7)) = X7,
inference(forward_demodulation,[],[f201,f163]) ).
fof(f163,plain,
! [X0,X1] : inverse(double_divide(double_divide(X0,X1),X1)) = inverse(X0),
inference(superposition,[],[f139,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(X2,X1)))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f139,plain,
! [X0,X1] : inverse(inverse(double_divide(X1,inverse(double_divide(X0,inverse(X0)))))) = inverse(X1),
inference(superposition,[],[f123,f110]) ).
fof(f110,plain,
! [X3,X0] : inverse(X0) = inverse(inverse(double_divide(double_divide(X3,inverse(X3)),X0))),
inference(superposition,[],[f98,f30]) ).
fof(f30,plain,
! [X6,X4,X5] : double_divide(double_divide(inverse(double_divide(X4,X5)),X6),inverse(double_divide(X5,X6))) = X4,
inference(superposition,[],[f9,f7]) ).
fof(f7,plain,
! [X2,X3,X0,X1] : inverse(double_divide(double_divide(double_divide(X3,inverse(double_divide(X0,inverse(double_divide(X2,X1))))),X2),double_divide(X0,X1))) = X3,
inference(superposition,[],[f6,f1]) ).
fof(f6,plain,
! [X2,X0,X1] : inverse(double_divide(double_divide(double_divide(X0,X1),inverse(double_divide(X2,X1))),X2)) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : inverse(double_divide(double_divide(double_divide(double_divide(X0,X1),inverse(double_divide(inverse(double_divide(X2,X3)),X1))),X3),X0)) = X2,
inference(superposition,[],[f1,f6]) ).
fof(f98,plain,
! [X2,X0,X1] : inverse(inverse(double_divide(double_divide(X0,inverse(X0)),double_divide(X1,X2)))) = inverse(double_divide(X1,X2)),
inference(forward_demodulation,[],[f96,f56]) ).
fof(f56,plain,
! [X21,X18,X19,X20] : double_divide(inverse(double_divide(X18,X19)),inverse(double_divide(X20,X21))) = inverse(double_divide(double_divide(X18,X20),double_divide(X19,X21))),
inference(superposition,[],[f7,f30]) ).
fof(f96,plain,
! [X2,X0,X1] : inverse(double_divide(inverse(double_divide(X0,X1)),inverse(double_divide(inverse(X0),X2)))) = inverse(double_divide(X1,X2)),
inference(backward_demodulation,[],[f74,f75]) ).
fof(f75,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X0,inverse(double_divide(X2,X1)))) = inverse(double_divide(double_divide(double_divide(X2,X3),X3),inverse(double_divide(X0,X1)))),
inference(superposition,[],[f55,f1]) ).
fof(f55,plain,
! [X16,X17,X15] : inverse(double_divide(double_divide(double_divide(inverse(double_divide(X15,X16)),X17),X17),inverse(X15))) = X16,
inference(superposition,[],[f1,f30]) ).
fof(f74,plain,
! [X2,X3,X0,X1] : inverse(double_divide(double_divide(double_divide(inverse(X0),X3),X3),inverse(double_divide(inverse(double_divide(X0,X1)),X2)))) = inverse(double_divide(X1,X2)),
inference(superposition,[],[f55,f30]) ).
fof(f123,plain,
! [X0,X1] : inverse(X1) = inverse(inverse(double_divide(X0,inverse(double_divide(X1,inverse(X0)))))),
inference(superposition,[],[f110,f1]) ).
fof(f201,plain,
! [X7,X5] : inverse(inverse(double_divide(double_divide(X7,X5),X5))) = X7,
inference(forward_demodulation,[],[f180,f136]) ).
fof(f136,plain,
! [X3,X4,X5] : inverse(inverse(double_divide(X5,X3))) = inverse(double_divide(double_divide(X3,X4),inverse(double_divide(inverse(X5),X4)))),
inference(superposition,[],[f123,f6]) ).
fof(f180,plain,
! [X6,X7,X5] : inverse(double_divide(double_divide(X5,X6),inverse(double_divide(inverse(double_divide(X7,X5)),X6)))) = X7,
inference(superposition,[],[f163,f9]) ).
fof(f236,plain,
a2 != inverse(inverse(a2)),
inference(backward_demodulation,[],[f4,f228]) ).
fof(f228,plain,
! [X0,X1] : double_divide(X1,inverse(double_divide(X0,inverse(X0)))) = inverse(X1),
inference(backward_demodulation,[],[f139,f202]) ).
fof(f4,plain,
a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP594-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:26:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (32382)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51 % (32396)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 0.20/0.51 % (32376)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51 % (32389)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 0.20/0.51 % (32386)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.20/0.52 % (32378)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (32377)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.52 % (32384)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.20/0.52 % (32393)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 0.20/0.52 % (32375)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.52 % (32373)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 0.20/0.53 % (32383)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (32372)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.53 % (32394)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.53 % (32378)Instruction limit reached!
% 0.20/0.53 % (32378)------------------------------
% 0.20/0.53 % (32378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (32378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (32381)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.53 % (32378)Termination reason: Unknown
% 0.20/0.53 % (32378)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (32378)Memory used [KB]: 5628
% 0.20/0.53 % (32378)Time elapsed: 0.071 s
% 0.20/0.53 % (32378)Instructions burned: 9 (million)
% 0.20/0.53 % (32378)------------------------------
% 0.20/0.53 % (32378)------------------------------
% 0.20/0.53 % (32380)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (32401)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 0.20/0.53 % (32391)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 0.20/0.53 % (32402)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54 % (32400)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 0.20/0.54 % (32398)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54 % (32399)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.54 % (32387)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.20/0.54 % (32385)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 0.20/0.54 % (32392)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.54 % (32379)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.54 % (32388)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.55 % (32397)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 0.20/0.55 % (32390)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55 % (32375)Instruction limit reached!
% 0.20/0.55 % (32375)------------------------------
% 0.20/0.55 % (32375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (32375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (32375)Termination reason: Unknown
% 0.20/0.55 % (32375)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (32375)Memory used [KB]: 5500
% 0.20/0.55 % (32375)Time elapsed: 0.129 s
% 0.20/0.55 % (32375)Instructions burned: 6 (million)
% 0.20/0.55 % (32375)------------------------------
% 0.20/0.55 % (32375)------------------------------
% 0.20/0.55 % (32374)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.55 % (32377)Instruction limit reached!
% 0.20/0.55 % (32377)------------------------------
% 0.20/0.55 % (32377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (32373)Instruction limit reached!
% 0.20/0.55 % (32373)------------------------------
% 0.20/0.55 % (32373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (32373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (32373)Termination reason: Unknown
% 0.20/0.56 % (32373)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (32373)Memory used [KB]: 5756
% 0.20/0.56 % (32373)Time elapsed: 0.129 s
% 0.20/0.56 % (32373)Instructions burned: 10 (million)
% 0.20/0.56 % (32373)------------------------------
% 0.20/0.56 % (32373)------------------------------
% 0.20/0.56 % (32382)Instruction limit reached!
% 0.20/0.56 % (32382)------------------------------
% 0.20/0.56 % (32382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (32382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (32382)Termination reason: Unknown
% 0.20/0.56 % (32382)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (32382)Memory used [KB]: 6396
% 0.20/0.56 % (32382)Time elapsed: 0.149 s
% 0.20/0.56 % (32382)Instructions burned: 38 (million)
% 0.20/0.56 % (32382)------------------------------
% 0.20/0.56 % (32382)------------------------------
% 1.77/0.57 % (32377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.57 % (32377)Termination reason: Unknown
% 1.77/0.57 % (32377)Termination phase: Saturation
% 1.77/0.57
% 1.77/0.57 % (32377)Memory used [KB]: 5884
% 1.77/0.57 % (32377)Time elapsed: 0.150 s
% 1.77/0.57 % (32377)Instructions burned: 21 (million)
% 1.77/0.57 % (32377)------------------------------
% 1.77/0.57 % (32377)------------------------------
% 1.77/0.58 % (32392)First to succeed.
% 1.77/0.58 % (32380)Instruction limit reached!
% 1.77/0.58 % (32380)------------------------------
% 1.77/0.58 % (32380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.58 % (32380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.58 % (32380)Termination reason: Unknown
% 1.77/0.58 % (32380)Termination phase: Saturation
% 1.77/0.58
% 1.77/0.58 % (32380)Memory used [KB]: 11129
% 1.77/0.58 % (32380)Time elapsed: 0.166 s
% 1.77/0.58 % (32380)Instructions burned: 39 (million)
% 1.77/0.58 % (32380)------------------------------
% 1.77/0.58 % (32380)------------------------------
% 1.77/0.58 % (32392)Refutation found. Thanks to Tanya!
% 1.77/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.77/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.77/0.58 % (32392)------------------------------
% 1.77/0.58 % (32392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.58 % (32392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.58 % (32392)Termination reason: Refutation
% 1.77/0.58
% 1.77/0.58 % (32392)Memory used [KB]: 6012
% 1.77/0.58 % (32392)Time elapsed: 0.185 s
% 1.77/0.58 % (32392)Instructions burned: 30 (million)
% 1.77/0.58 % (32392)------------------------------
% 1.77/0.58 % (32392)------------------------------
% 1.77/0.58 % (32366)Success in time 0.235 s
%------------------------------------------------------------------------------