TSTP Solution File: GRP606-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP606-1 : 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 : 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 16:16:40 EDT 2022
% Result : Unsatisfiable 1.87s 0.62s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 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 : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f891,plain,
$false,
inference(subsumption_resolution,[],[f890,f252]) ).
fof(f252,plain,
! [X21] : inverse(inverse(X21)) = X21,
inference(superposition,[],[f216,f138]) ).
fof(f138,plain,
! [X4,X5] : double_divide(X5,double_divide(X5,inverse(inverse(X4)))) = X4,
inference(superposition,[],[f119,f11]) ).
fof(f11,plain,
! [X2,X3,X1] : double_divide(inverse(double_divide(inverse(double_divide(X2,inverse(X1))),X3)),double_divide(X2,X3)) = X1,
inference(superposition,[],[f1,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(X2,inverse(X1))),X3) = double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,double_divide(X2,X3))))),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f119,plain,
! [X21,X22,X20] : double_divide(inverse(double_divide(inverse(X22),X21)),X22) = double_divide(X20,double_divide(X20,inverse(X21))),
inference(superposition,[],[f28,f93]) ).
fof(f93,plain,
! [X2,X0,X1] : double_divide(inverse(X2),double_divide(inverse(double_divide(X0,double_divide(X0,inverse(X1)))),inverse(X2))) = X1,
inference(superposition,[],[f15,f77]) ).
fof(f77,plain,
! [X2,X0,X1] : double_divide(inverse(X0),double_divide(inverse(double_divide(X1,double_divide(X1,inverse(X2)))),inverse(X2))) = X0,
inference(superposition,[],[f39,f40]) ).
fof(f40,plain,
! [X10,X8,X9,X7] : double_divide(inverse(X10),double_divide(inverse(double_divide(X7,double_divide(X7,inverse(X8)))),double_divide(X9,double_divide(X9,inverse(X10))))) = X8,
inference(superposition,[],[f28,f28]) ).
fof(f39,plain,
! [X3,X6,X4,X5] : double_divide(inverse(X4),double_divide(X3,inverse(double_divide(inverse(X4),double_divide(X3,double_divide(X5,double_divide(X5,inverse(X6)))))))) = X6,
inference(superposition,[],[f28,f1]) ).
fof(f15,plain,
! [X3,X4,X5] : double_divide(inverse(X4),double_divide(inverse(double_divide(X3,inverse(X4))),double_divide(X3,inverse(X5)))) = X5,
inference(superposition,[],[f11,f11]) ).
fof(f28,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(X1),double_divide(X0,double_divide(X0,inverse(X2))))),X1) = X2,
inference(superposition,[],[f15,f1]) ).
fof(f216,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(inverse(X0),X0)) = X1,
inference(superposition,[],[f195,f1]) ).
fof(f195,plain,
! [X6,X5] : double_divide(inverse(double_divide(inverse(X6),inverse(X5))),X6) = X5,
inference(superposition,[],[f138,f119]) ).
fof(f890,plain,
a2 != inverse(inverse(a2)),
inference(superposition,[],[f877,f545]) ).
fof(f545,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[],[f394,f252]) ).
fof(f394,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(X0,inverse(X1))) = X0,
inference(superposition,[],[f15,f297]) ).
fof(f297,plain,
! [X62,X63] : double_divide(inverse(X63),double_divide(X62,inverse(X62))) = X63,
inference(superposition,[],[f216,f252]) ).
fof(f877,plain,
! [X0] : a2 != inverse(double_divide(a2,double_divide(inverse(X0),X0))),
inference(superposition,[],[f836,f195]) ).
fof(f836,plain,
! [X0,X1] : a2 != inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(a2,double_divide(X0,X1))))),X1)),
inference(superposition,[],[f824,f6]) ).
fof(f824,plain,
! [X0] : a2 != inverse(double_divide(a2,inverse(double_divide(inverse(X0),X0)))),
inference(superposition,[],[f793,f252]) ).
fof(f793,plain,
! [X20] : a2 != inverse(double_divide(a2,inverse(double_divide(X20,inverse(X20))))),
inference(superposition,[],[f4,f412]) ).
fof(f412,plain,
! [X0,X1] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(superposition,[],[f317,f252]) ).
fof(f317,plain,
! [X0,X1] : double_divide(X0,inverse(X0)) = double_divide(inverse(X1),X1),
inference(superposition,[],[f308,f252]) ).
fof(f308,plain,
! [X11,X12] : double_divide(inverse(X11),X11) = double_divide(inverse(X12),X12),
inference(superposition,[],[f276,f216]) ).
fof(f276,plain,
! [X4,X5] : double_divide(X5,double_divide(X5,X4)) = X4,
inference(backward_demodulation,[],[f138,f252]) ).
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
% 0.03/0.11 % Problem : GRP606-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n006.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 : Mon Aug 29 22:33:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.53 % (29488)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53 % (29487)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)
% 0.19/0.54 % (29496)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)
% 0.19/0.54 % (29504)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)
% 0.19/0.54 % (29503)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)
% 0.19/0.55 % (29497)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)
% 0.19/0.55 % (29495)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)
% 0.19/0.55 % (29489)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)
% 0.19/0.55 % (29487)Instruction limit reached!
% 0.19/0.55 % (29487)------------------------------
% 0.19/0.55 % (29487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (29505)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)
% 0.19/0.56 % (29487)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (29487)Termination reason: Unknown
% 0.19/0.56 % (29487)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (29487)Memory used [KB]: 5628
% 0.19/0.56 % (29487)Time elapsed: 0.138 s
% 0.19/0.56 % (29487)Instructions burned: 7 (million)
% 0.19/0.56 % (29487)------------------------------
% 0.19/0.56 % (29487)------------------------------
% 1.72/0.57 % (29484)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)
% 1.72/0.57 % (29484)Instruction limit reached!
% 1.72/0.57 % (29484)------------------------------
% 1.72/0.57 % (29484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.57 % (29484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.57 % (29484)Termination reason: Unknown
% 1.72/0.57 % (29484)Termination phase: Saturation
% 1.72/0.57
% 1.72/0.57 % (29484)Memory used [KB]: 5500
% 1.72/0.57 % (29484)Time elapsed: 0.165 s
% 1.72/0.57 % (29484)Instructions burned: 6 (million)
% 1.72/0.57 % (29484)------------------------------
% 1.72/0.57 % (29484)------------------------------
% 1.72/0.57 % (29499)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)
% 1.72/0.58 % (29502)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)
% 1.72/0.58 % (29508)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)
% 1.72/0.58 % (29507)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)
% 1.87/0.58 % (29486)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)
% 1.87/0.58 % (29483)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)
% 1.87/0.59 % (29492)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)
% 1.87/0.59 % (29498)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)
% 1.87/0.59 % (29500)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)
% 1.87/0.59 % (29491)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)
% 1.87/0.59 % (29510)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)
% 1.87/0.59 % (29490)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)
% 1.87/0.60 % (29494)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)
% 1.87/0.60 % (29488)Instruction limit reached!
% 1.87/0.60 % (29488)------------------------------
% 1.87/0.60 % (29488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.60 % (29488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.60 % (29488)Termination reason: Unknown
% 1.87/0.60 % (29488)Termination phase: Saturation
% 1.87/0.60
% 1.87/0.60 % (29488)Memory used [KB]: 6140
% 1.87/0.60 % (29488)Time elapsed: 0.153 s
% 1.87/0.60 % (29488)Instructions burned: 33 (million)
% 1.87/0.60 % (29488)------------------------------
% 1.87/0.60 % (29488)------------------------------
% 1.87/0.60 % (29482)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)
% 1.87/0.60 % (29485)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)
% 1.87/0.60 % (29482)Instruction limit reached!
% 1.87/0.60 % (29482)------------------------------
% 1.87/0.60 % (29482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.61 % (29506)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)
% 1.87/0.61 % (29501)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 1.87/0.61 % (29481)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 1.87/0.61 % (29486)Instruction limit reached!
% 1.87/0.61 % (29486)------------------------------
% 1.87/0.61 % (29486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.61 % (29489)Instruction limit reached!
% 1.87/0.61 % (29489)------------------------------
% 1.87/0.61 % (29489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.62 % (29509)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)
% 1.87/0.62 % (29489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.62 % (29489)Termination reason: Unknown
% 1.87/0.62 % (29489)Termination phase: Saturation
% 1.87/0.62
% 1.87/0.62 % (29489)Memory used [KB]: 11001
% 1.87/0.62 % (29489)Time elapsed: 0.191 s
% 1.87/0.62 % (29489)Instructions burned: 38 (million)
% 1.87/0.62 % (29489)------------------------------
% 1.87/0.62 % (29489)------------------------------
% 1.87/0.62 % (29504)First to succeed.
% 1.87/0.62 % (29504)Refutation found. Thanks to Tanya!
% 1.87/0.62 % SZS status Unsatisfiable for theBenchmark
% 1.87/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.87/0.62 % (29504)------------------------------
% 1.87/0.62 % (29504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.62 % (29504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.62 % (29504)Termination reason: Refutation
% 1.87/0.62
% 1.87/0.62 % (29504)Memory used [KB]: 6396
% 1.87/0.62 % (29504)Time elapsed: 0.211 s
% 1.87/0.62 % (29504)Instructions burned: 48 (million)
% 1.87/0.62 % (29504)------------------------------
% 1.87/0.62 % (29504)------------------------------
% 1.87/0.62 % (29480)Success in time 0.275 s
%------------------------------------------------------------------------------