TSTP Solution File: GRP424-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP424-1 : 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 : n001.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 16:15:48 EDT 2022
% Result : Unsatisfiable 2.26s 0.65s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f650,plain,
$false,
inference(subsumption_resolution,[],[f585,f478]) ).
fof(f478,plain,
! [X3,X1] : multiply(inverse(X1),X1) = multiply(inverse(X3),X3),
inference(superposition,[],[f424,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f424,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X2)))),multiply(X3,inverse(multiply(inverse(X2),X2)))) = multiply(inverse(X1),X1),
inference(superposition,[],[f264,f1]) ).
fof(f264,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(X3))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),X2)))),multiply(X4,inverse(X3))),
inference(superposition,[],[f203,f1]) ).
fof(f203,plain,
! [X3,X1,X4,X5] : multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(X1))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(X1))),
inference(superposition,[],[f142,f1]) ).
fof(f142,plain,
! [X48,X46,X49,X47,X45] : multiply(inverse(multiply(X49,inverse(X46))),multiply(X49,inverse(multiply(X45,inverse(X47))))) = multiply(inverse(multiply(X48,inverse(X46))),multiply(X48,inverse(multiply(X45,inverse(X47))))),
inference(superposition,[],[f74,f75]) ).
fof(f75,plain,
! [X8,X6,X7] : multiply(inverse(multiply(X8,inverse(multiply(inverse(multiply(inverse(X6),inverse(multiply(inverse(X7),X7)))),X7)))),multiply(X8,inverse(X7))) = X6,
inference(superposition,[],[f3,f1]) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))),
inference(superposition,[],[f1,f1]) ).
fof(f74,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X2)))),multiply(X3,inverse(X2))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X1),X2)))),multiply(X4,inverse(X2))),
inference(superposition,[],[f3,f3]) ).
fof(f585,plain,
! [X88] : multiply(inverse(a1),a1) != multiply(inverse(X88),X88),
inference(superposition,[],[f2,f478]) ).
fof(f2,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP424-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % 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 : n001.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 22:50:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.39/0.54 % (27099)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)
% 1.52/0.55 % (27115)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)
% 1.52/0.55 % (27100)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.52/0.56 % (27107)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)
% 1.52/0.56 % (27099)Instruction limit reached!
% 1.52/0.56 % (27099)------------------------------
% 1.52/0.56 % (27099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (27116)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)
% 1.52/0.56 % (27109)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)
% 1.52/0.57 % (27099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.57 % (27099)Termination reason: Unknown
% 1.52/0.57 % (27099)Termination phase: Saturation
% 1.52/0.57
% 1.52/0.57 % (27099)Memory used [KB]: 5628
% 1.52/0.57 % (27099)Time elapsed: 0.137 s
% 1.52/0.57 % (27099)Instructions burned: 7 (million)
% 1.52/0.57 % (27099)------------------------------
% 1.52/0.57 % (27099)------------------------------
% 1.52/0.57 % (27101)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)
% 1.52/0.58 % (27108)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)
% 1.52/0.59 % (27117)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)
% 1.52/0.61 % (27113)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 1.52/0.61 % (27100)Instruction limit reached!
% 1.52/0.61 % (27100)------------------------------
% 1.52/0.61 % (27100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.62 % (27121)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)
% 1.52/0.62 % (27120)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)
% 1.52/0.62 % (27100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.62 % (27100)Termination reason: Unknown
% 1.52/0.62 % (27100)Termination phase: Saturation
% 1.52/0.62
% 1.52/0.62 % (27100)Memory used [KB]: 5884
% 1.52/0.62 % (27100)Time elapsed: 0.169 s
% 1.52/0.62 % (27100)Instructions burned: 33 (million)
% 1.52/0.62 % (27100)------------------------------
% 1.52/0.62 % (27100)------------------------------
% 1.52/0.62 % (27103)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)
% 1.52/0.62 % (27102)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)
% 1.52/0.62 % (27105)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)
% 1.52/0.62 % (27104)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)
% 1.52/0.62 % (27119)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)
% 1.52/0.63 % (27097)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)
% 1.52/0.63 % (27095)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)
% 1.52/0.63 % (27096)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)
% 1.52/0.63 % (27110)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)
% 1.52/0.63 % (27096)Instruction limit reached!
% 1.52/0.63 % (27096)------------------------------
% 1.52/0.63 % (27096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.63 % (27096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.63 % (27096)Termination reason: Unknown
% 1.52/0.63 % (27096)Termination phase: Saturation
% 1.52/0.63
% 1.52/0.63 % (27096)Memory used [KB]: 5500
% 1.52/0.63 % (27096)Time elapsed: 0.204 s
% 1.52/0.63 % (27096)Instructions burned: 6 (million)
% 1.52/0.63 % (27096)------------------------------
% 1.52/0.63 % (27096)------------------------------
% 1.52/0.63 % (27112)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)
% 1.52/0.63 % (27118)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)
% 1.52/0.63 % (27111)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)
% 1.52/0.64 % (27109)Instruction limit reached!
% 1.52/0.64 % (27109)------------------------------
% 1.52/0.64 % (27109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.64 % (27101)Instruction limit reached!
% 2.26/0.64 % (27101)------------------------------
% 2.26/0.64 % (27101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.64 % (27101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.64 % (27101)Termination reason: Unknown
% 2.26/0.64 % (27101)Termination phase: Saturation
% 2.26/0.64
% 2.26/0.64 % (27101)Memory used [KB]: 10618
% 2.26/0.64 % (27101)Time elapsed: 0.199 s
% 2.26/0.64 % (27101)Instructions burned: 37 (million)
% 2.26/0.64 % (27101)------------------------------
% 2.26/0.64 % (27101)------------------------------
% 2.26/0.65 % (27094)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)
% 2.26/0.65 % (27109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.65 % (27109)Termination reason: Unknown
% 2.26/0.65 % (27109)Termination phase: Saturation
% 2.26/0.65
% 2.26/0.65 % (27109)Memory used [KB]: 6524
% 2.26/0.65 % (27109)Time elapsed: 0.202 s
% 2.26/0.65 % (27109)Instructions burned: 49 (million)
% 2.26/0.65 % (27109)------------------------------
% 2.26/0.65 % (27109)------------------------------
% 2.26/0.65 % (27116)First to succeed.
% 2.26/0.65 % (27116)Refutation found. Thanks to Tanya!
% 2.26/0.65 % SZS status Unsatisfiable for theBenchmark
% 2.26/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.65 % (27116)------------------------------
% 2.26/0.65 % (27116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.65 % (27116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.65 % (27116)Termination reason: Refutation
% 2.26/0.65
% 2.26/0.65 % (27116)Memory used [KB]: 6524
% 2.26/0.65 % (27116)Time elapsed: 0.220 s
% 2.26/0.65 % (27116)Instructions burned: 51 (million)
% 2.26/0.65 % (27116)------------------------------
% 2.26/0.65 % (27116)------------------------------
% 2.26/0.65 % (27092)Success in time 0.301 s
%------------------------------------------------------------------------------