TSTP Solution File: GRP596-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP596-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : n020.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 16:16:38 EDT 2022
% Result : Unsatisfiable 2.52s 0.72s
% Output : Refutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% 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 ( 4 avg)
% Maximal term depth : 8 ( 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 : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f779,plain,
$false,
inference(trivial_inequality_removal,[],[f778]) ).
fof(f778,plain,
inverse(double_divide(a,b)) != inverse(double_divide(a,b)),
inference(superposition,[],[f4,f433]) ).
fof(f433,plain,
! [X18,X19] : double_divide(X18,X19) = double_divide(X19,X18),
inference(superposition,[],[f409,f323]) ).
fof(f323,plain,
! [X3,X4] : double_divide(double_divide(X3,X4),X4) = X3,
inference(superposition,[],[f249,f6]) ).
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(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(f249,plain,
! [X2,X0,X1] : double_divide(X2,X1) = inverse(double_divide(double_divide(X0,inverse(double_divide(X2,X1))),X0)),
inference(superposition,[],[f144,f1]) ).
fof(f144,plain,
! [X65,X66,X67] : inverse(double_divide(X65,X66)) = double_divide(inverse(double_divide(double_divide(X66,X67),inverse(X65))),X67),
inference(forward_demodulation,[],[f141,f41]) ).
fof(f41,plain,
! [X6,X7,X4,X5] : double_divide(inverse(double_divide(X4,X5)),X6) = double_divide(double_divide(inverse(X4),X7),inverse(double_divide(inverse(double_divide(X5,X6)),X7))),
inference(superposition,[],[f30,f30]) ).
fof(f30,plain,
! [X2,X0,X1] : double_divide(double_divide(inverse(double_divide(X0,X1)),X2),inverse(double_divide(X1,X2))) = X0,
inference(superposition,[],[f20,f5]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : double_divide(X0,X1) = inverse(double_divide(double_divide(X3,inverse(double_divide(X0,inverse(double_divide(X2,X1))))),inverse(double_divide(X3,X2)))),
inference(superposition,[],[f1,f1]) ).
fof(f20,plain,
! [X6,X4,X5] : double_divide(inverse(double_divide(double_divide(X4,inverse(double_divide(X5,X6))),X5)),X6) = X4,
inference(superposition,[],[f5,f6]) ).
fof(f141,plain,
! [X65,X68,X66,X67] : double_divide(double_divide(inverse(double_divide(X66,X67)),X68),inverse(double_divide(inverse(double_divide(inverse(X65),X67)),X68))) = inverse(double_divide(X65,X66)),
inference(superposition,[],[f30,f72]) ).
fof(f72,plain,
! [X2,X0,X1] : double_divide(X1,X2) = double_divide(inverse(double_divide(X0,X1)),inverse(double_divide(inverse(X0),X2))),
inference(superposition,[],[f20,f51]) ).
fof(f51,plain,
! [X10,X11,X12] : inverse(double_divide(double_divide(double_divide(inverse(double_divide(X10,X11)),X12),X12),inverse(X10))) = X11,
inference(superposition,[],[f1,f30]) ).
fof(f409,plain,
! [X59,X61] : double_divide(X59,double_divide(X61,X59)) = X61,
inference(forward_demodulation,[],[f408,f323]) ).
fof(f408,plain,
! [X59,X60,X61] : double_divide(X59,double_divide(X61,double_divide(double_divide(X59,X60),X60))) = X61,
inference(forward_demodulation,[],[f407,f321]) ).
fof(f321,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(inverse(double_divide(X0,X1))),
inference(superposition,[],[f249,f30]) ).
fof(f407,plain,
! [X59,X60,X61] : double_divide(X59,inverse(inverse(double_divide(X61,double_divide(double_divide(X59,X60),X60))))) = X61,
inference(forward_demodulation,[],[f386,f251]) ).
fof(f251,plain,
! [X8,X9,X7] : inverse(double_divide(X9,double_divide(X7,X8))) = double_divide(X7,inverse(double_divide(inverse(X9),X8))),
inference(superposition,[],[f144,f6]) ).
fof(f386,plain,
! [X59,X60,X61] : double_divide(X59,inverse(double_divide(double_divide(X59,X60),inverse(double_divide(inverse(X61),X60))))) = X61,
inference(superposition,[],[f126,f323]) ).
fof(f126,plain,
! [X3,X4,X5] : double_divide(double_divide(X4,X5),inverse(double_divide(X4,inverse(double_divide(inverse(X3),X5))))) = X3,
inference(superposition,[],[f30,f72]) ).
fof(f4,plain,
inverse(double_divide(a,b)) != inverse(double_divide(b,a)),
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,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP596-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.13 % 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 : n020.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 22:36:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.55 % (30997)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)
% 0.20/0.55 % (30999)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)
% 0.20/0.55 % (30997)Instruction limit reached!
% 0.20/0.55 % (30997)------------------------------
% 0.20/0.55 % (30997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (31005)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)
% 0.20/0.55 % (31013)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)
% 0.20/0.56 % (31015)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)
% 0.20/0.56 % (31007)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)
% 0.20/0.56 % (30997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (30997)Termination reason: Unknown
% 0.20/0.56 % (30997)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (30997)Memory used [KB]: 5628
% 0.20/0.56 % (30997)Time elapsed: 0.131 s
% 0.20/0.56 % (30997)Instructions burned: 7 (million)
% 0.20/0.56 % (30997)------------------------------
% 0.20/0.56 % (30997)------------------------------
% 0.20/0.60 % (30996)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)
% 0.20/0.60 % (31000)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)
% 0.20/0.60 % (30991)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.61 % (30995)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)
% 0.20/0.61 % (31018)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)
% 0.20/0.61 % (30998)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.61 % (31012)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)
% 0.20/0.61 % (31014)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)
% 0.20/0.61 % (31016)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)
% 0.20/0.61 % (30994)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)
% 0.20/0.61 % (31019)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)
% 0.20/0.62 % (31004)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)
% 0.20/0.62 % (30994)Instruction limit reached!
% 0.20/0.62 % (30994)------------------------------
% 0.20/0.62 % (30994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62 % (30994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.62 % (30994)Termination reason: Unknown
% 0.20/0.62 % (30994)Termination phase: Saturation
% 0.20/0.62
% 0.20/0.62 % (30994)Memory used [KB]: 5500
% 0.20/0.62 % (30994)Time elapsed: 0.187 s
% 0.20/0.62 % (30994)Instructions burned: 7 (million)
% 0.20/0.62 % (30994)------------------------------
% 0.20/0.62 % (30994)------------------------------
% 0.20/0.62 % (31006)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)
% 0.20/0.62 % (31008)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)
% 0.20/0.62 % (31010)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)
% 0.20/0.62 % (31002)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)
% 2.10/0.62 % (31011)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 2.10/0.62 % (30999)Instruction limit reached!
% 2.10/0.62 % (30999)------------------------------
% 2.10/0.62 % (30999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.62 % (30999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.62 % (30999)Termination reason: Unknown
% 2.10/0.62 % (30999)Termination phase: Saturation
% 2.10/0.62
% 2.10/0.62 % (30999)Memory used [KB]: 11001
% 2.10/0.62 % (30999)Time elapsed: 0.178 s
% 2.10/0.62 % (30999)Instructions burned: 37 (million)
% 2.10/0.62 % (30999)------------------------------
% 2.10/0.62 % (30999)------------------------------
% 2.10/0.63 % (30992)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)
% 2.10/0.63 % (31003)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)
% 2.10/0.63 % (31001)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)
% 2.10/0.63 % (31020)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)
% 2.10/0.64 % (31009)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)
% 2.23/0.64 % (30993)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)
% 2.23/0.64 % (31007)Instruction limit reached!
% 2.23/0.64 % (31007)------------------------------
% 2.23/0.64 % (31007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.64 % (31007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.64 % (31007)Termination reason: Unknown
% 2.23/0.64 % (31007)Termination phase: Saturation
% 2.23/0.64
% 2.23/0.64 % (31007)Memory used [KB]: 6396
% 2.23/0.64 % (31007)Time elapsed: 0.206 s
% 2.23/0.64 % (31007)Instructions burned: 48 (million)
% 2.23/0.64 % (31007)------------------------------
% 2.23/0.64 % (31007)------------------------------
% 2.23/0.65 % (31017)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)
% 2.23/0.65 % (30992)Instruction limit reached!
% 2.23/0.65 % (30992)------------------------------
% 2.23/0.65 % (30992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.65 % (30992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65 % (30992)Termination reason: Unknown
% 2.23/0.65 % (30992)Termination phase: Saturation
% 2.23/0.65
% 2.23/0.65 % (30992)Memory used [KB]: 5628
% 2.23/0.65 % (30992)Time elapsed: 0.174 s
% 2.23/0.65 % (30992)Instructions burned: 10 (million)
% 2.23/0.65 % (30992)------------------------------
% 2.23/0.65 % (30992)------------------------------
% 2.23/0.65 % (30996)Instruction limit reached!
% 2.23/0.65 % (30996)------------------------------
% 2.23/0.65 % (30996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.65 % (30996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65 % (30996)Termination reason: Unknown
% 2.23/0.65 % (30996)Termination phase: Saturation
% 2.23/0.65
% 2.23/0.65 % (30996)Memory used [KB]: 5756
% 2.23/0.65 % (30996)Time elapsed: 0.216 s
% 2.23/0.65 % (30996)Instructions burned: 20 (million)
% 2.23/0.65 % (30996)------------------------------
% 2.23/0.65 % (30996)------------------------------
% 2.52/0.71 % (31020)Instruction limit reached!
% 2.52/0.71 % (31020)------------------------------
% 2.52/0.71 % (31020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.71 % (31020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.71 % (31020)Termination reason: Unknown
% 2.52/0.71 % (31020)Termination phase: Saturation
% 2.52/0.71
% 2.52/0.71 % (31020)Memory used [KB]: 6524
% 2.52/0.71 % (31020)Time elapsed: 0.298 s
% 2.52/0.71 % (31020)Instructions burned: 49 (million)
% 2.52/0.71 % (31020)------------------------------
% 2.52/0.71 % (31020)------------------------------
% 2.52/0.72 % (31018)First to succeed.
% 2.52/0.72 % (31018)Refutation found. Thanks to Tanya!
% 2.52/0.72 % SZS status Unsatisfiable for theBenchmark
% 2.52/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.52/0.72 % (31018)------------------------------
% 2.52/0.72 % (31018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.72 % (31018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.72 % (31018)Termination reason: Refutation
% 2.52/0.72
% 2.52/0.72 % (31018)Memory used [KB]: 6396
% 2.52/0.72 % (31018)Time elapsed: 0.299 s
% 2.52/0.72 % (31018)Instructions burned: 45 (million)
% 2.52/0.72 % (31018)------------------------------
% 2.52/0.72 % (31018)------------------------------
% 2.52/0.72 % (30990)Success in time 0.363 s
%------------------------------------------------------------------------------