TSTP Solution File: GRP608-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP608-1 : 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 : n013.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 2.07s 0.65s
% Output : Refutation 2.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 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 : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f572,plain,
$false,
inference(trivial_inequality_removal,[],[f571]) ).
fof(f571,plain,
inverse(double_divide(a,b)) != inverse(double_divide(a,b)),
inference(superposition,[],[f4,f425]) ).
fof(f425,plain,
! [X46,X47] : double_divide(X46,X47) = double_divide(X47,X46),
inference(superposition,[],[f173,f349]) ).
fof(f349,plain,
! [X54] : inverse(inverse(X54)) = X54,
inference(forward_demodulation,[],[f348,f196]) ).
fof(f196,plain,
! [X21,X20] : double_divide(inverse(X20),double_divide(inverse(X20),X21)) = X21,
inference(forward_demodulation,[],[f195,f91]) ).
fof(f91,plain,
! [X14,X15,X13] : double_divide(inverse(double_divide(inverse(X14),X15)),double_divide(inverse(X13),X15)) = double_divide(inverse(X14),X13),
inference(superposition,[],[f11,f55]) ).
fof(f55,plain,
! [X2,X1] : double_divide(inverse(X1),inverse(double_divide(inverse(X2),X1))) = X2,
inference(superposition,[],[f5,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/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f5,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),inverse(double_divide(inverse(X3),X1)))),X2) = X3,
inference(superposition,[],[f1,f1]) ).
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(X0,inverse(double_divide(inverse(X1),double_divide(X0,double_divide(X2,X3))))) = double_divide(inverse(double_divide(X2,inverse(X1))),X3),
inference(superposition,[],[f1,f1]) ).
fof(f195,plain,
! [X21,X22,X20] : double_divide(inverse(double_divide(inverse(X20),X22)),double_divide(inverse(double_divide(inverse(X20),X21)),X22)) = X21,
inference(forward_demodulation,[],[f184,f103]) ).
fof(f103,plain,
! [X14,X13] : double_divide(inverse(inverse(X14)),inverse(X13)) = inverse(double_divide(inverse(X14),X13)),
inference(superposition,[],[f85,f55]) ).
fof(f85,plain,
! [X14,X13] : double_divide(inverse(inverse(double_divide(inverse(X14),X13))),inverse(X14)) = X13,
inference(superposition,[],[f55,f55]) ).
fof(f184,plain,
! [X21,X22,X20] : double_divide(inverse(double_divide(inverse(X20),X22)),double_divide(double_divide(inverse(inverse(X20)),inverse(X21)),X22)) = X21,
inference(superposition,[],[f11,f150]) ).
fof(f150,plain,
! [X2,X3] : double_divide(double_divide(inverse(inverse(X2)),X3),X3) = X2,
inference(forward_demodulation,[],[f127,f144]) ).
fof(f144,plain,
! [X6,X5] : inverse(double_divide(inverse(X5),X6)) = double_divide(inverse(X6),X5),
inference(forward_demodulation,[],[f131,f103]) ).
fof(f131,plain,
! [X6,X5] : double_divide(inverse(inverse(X5)),inverse(X6)) = double_divide(inverse(X6),X5),
inference(superposition,[],[f18,f97]) ).
fof(f97,plain,
! [X6,X5] : double_divide(inverse(X6),double_divide(inverse(inverse(X5)),inverse(X6))) = X5,
inference(forward_demodulation,[],[f88,f81]) ).
fof(f81,plain,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2)))) = double_divide(inverse(X2),inverse(X1)),
inference(superposition,[],[f55,f1]) ).
fof(f88,plain,
! [X6,X4,X5] : double_divide(inverse(X6),double_divide(X4,inverse(double_divide(inverse(X6),double_divide(X4,inverse(X5)))))) = X5,
inference(superposition,[],[f11,f55]) ).
fof(f18,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(f127,plain,
! [X2,X3] : double_divide(inverse(double_divide(inverse(X3),inverse(X2))),X3) = X2,
inference(superposition,[],[f97,f55]) ).
fof(f348,plain,
! [X54,X55] : double_divide(inverse(X55),double_divide(inverse(X55),inverse(inverse(X54)))) = X54,
inference(forward_demodulation,[],[f298,f173]) ).
fof(f298,plain,
! [X54,X55] : double_divide(double_divide(inverse(X55),inverse(inverse(X54))),inverse(X55)) = X54,
inference(superposition,[],[f150,f173]) ).
fof(f173,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = double_divide(X1,inverse(X0)),
inference(superposition,[],[f150,f85]) ).
fof(f4,plain,
inverse(double_divide(b,a)) != inverse(double_divide(a,b)),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP608-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : n013.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 22:30:32 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.56 % (30001)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)
% 0.20/0.56 % (30009)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)
% 0.20/0.58 % (30023)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)
% 0.20/0.58 % (30015)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)
% 0.20/0.58 % (29999)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)
% 0.20/0.58 % (30017)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)
% 0.20/0.58 % (30007)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)
% 0.20/0.59 % (29996)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.59 % (29998)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)
% 0.20/0.59 % (30010)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)
% 1.76/0.60 % (30008)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)
% 1.76/0.60 % (30019)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)
% 1.76/0.60 % (30011)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)
% 1.76/0.60 % (30002)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)
% 1.76/0.61 % (30001)Instruction limit reached!
% 1.76/0.61 % (30001)------------------------------
% 1.76/0.61 % (30001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61 % (30001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61 % (30001)Termination reason: Unknown
% 1.76/0.61 % (30001)Termination phase: Saturation
% 1.76/0.61
% 1.76/0.61 % (30001)Memory used [KB]: 5884
% 1.76/0.61 % (30001)Time elapsed: 0.158 s
% 1.76/0.61 % (30001)Instructions burned: 21 (million)
% 1.76/0.61 % (30001)------------------------------
% 1.76/0.61 % (30001)------------------------------
% 1.76/0.61 % (29999)Instruction limit reached!
% 1.76/0.61 % (29999)------------------------------
% 1.76/0.61 % (29999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61 % (29999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61 % (29999)Termination reason: Unknown
% 1.76/0.61 % (29999)Termination phase: Saturation
% 1.76/0.61
% 1.76/0.61 % (29999)Memory used [KB]: 5628
% 1.76/0.61 % (29999)Time elapsed: 0.161 s
% 1.76/0.61 % (29999)Instructions burned: 7 (million)
% 1.76/0.61 % (29999)------------------------------
% 1.76/0.61 % (29999)------------------------------
% 1.76/0.61 % (30000)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)
% 1.76/0.61 % (30002)Instruction limit reached!
% 1.76/0.61 % (30002)------------------------------
% 1.76/0.61 % (30002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61 % (30002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61 % (30002)Termination reason: Unknown
% 1.76/0.61 % (30002)Termination phase: Saturation
% 1.76/0.61
% 1.76/0.61 % (30002)Memory used [KB]: 5628
% 1.76/0.61 % (30002)Time elapsed: 0.189 s
% 1.76/0.61 % (30002)Instructions burned: 8 (million)
% 1.76/0.61 % (30002)------------------------------
% 1.76/0.61 % (30002)------------------------------
% 1.76/0.61 % (30003)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.76/0.61 % (29997)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)
% 1.76/0.62 % (30020)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)
% 2.07/0.62 % (30014)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)
% 2.07/0.62 % (30018)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)
% 2.07/0.63 % (30012)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)
% 2.07/0.63 % (30016)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 2.07/0.63 % (30013)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)
% 2.07/0.63 % (30006)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)
% 2.07/0.63 % (30004)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)
% 2.07/0.63 % (30022)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)
% 2.07/0.63 % (30025)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)
% 2.07/0.64 % (30023)First to succeed.
% 2.07/0.64 % (29997)Instruction limit reached!
% 2.07/0.64 % (29997)------------------------------
% 2.07/0.64 % (29997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.64 % (29997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.64 % (29997)Termination reason: Unknown
% 2.07/0.64 % (29997)Termination phase: Saturation
% 2.07/0.64
% 2.07/0.64 % (29997)Memory used [KB]: 5628
% 2.07/0.64 % (29997)Time elapsed: 0.219 s
% 2.07/0.64 % (29997)Instructions burned: 10 (million)
% 2.07/0.64 % (29997)------------------------------
% 2.07/0.64 % (29997)------------------------------
% 2.07/0.65 % (30023)Refutation found. Thanks to Tanya!
% 2.07/0.65 % SZS status Unsatisfiable for theBenchmark
% 2.07/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.07/0.65 % (30023)------------------------------
% 2.07/0.65 % (30023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.65 % (30023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.65 % (30023)Termination reason: Refutation
% 2.07/0.65
% 2.07/0.65 % (30023)Memory used [KB]: 6140
% 2.07/0.65 % (30023)Time elapsed: 0.217 s
% 2.07/0.65 % (30023)Instructions burned: 30 (million)
% 2.07/0.65 % (30023)------------------------------
% 2.07/0.65 % (30023)------------------------------
% 2.07/0.65 % (29995)Success in time 0.292 s
%------------------------------------------------------------------------------