TSTP Solution File: GRP598-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP598-1 : 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 : n007.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 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 11 ( 3 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 : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f221,plain,
$false,
inference(trivial_inequality_removal,[],[f203]) ).
fof(f203,plain,
a2 != a2,
inference(superposition,[],[f153,f191]) ).
fof(f191,plain,
! [X8] : inverse(inverse(X8)) = X8,
inference(forward_demodulation,[],[f169,f31]) ).
fof(f31,plain,
! [X3,X4] : double_divide(double_divide(X3,inverse(X3)),inverse(X4)) = X4,
inference(superposition,[],[f1,f27]) ).
fof(f27,plain,
! [X3,X0] : double_divide(X3,inverse(double_divide(inverse(X0),inverse(X3)))) = X0,
inference(forward_demodulation,[],[f19,f1]) ).
fof(f19,plain,
! [X2,X3,X0,X1] : double_divide(X3,inverse(double_divide(double_divide(double_divide(X1,X2),inverse(double_divide(X1,inverse(double_divide(inverse(inverse(X0)),X2))))),inverse(X3)))) = X0,
inference(superposition,[],[f5,f5]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : double_divide(X2,inverse(double_divide(double_divide(X0,X1),inverse(double_divide(inverse(X3),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1))))))))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f169,plain,
! [X8,X9] : inverse(double_divide(double_divide(X9,inverse(X9)),inverse(inverse(X8)))) = X8,
inference(superposition,[],[f138,f81]) ).
fof(f81,plain,
! [X3,X4] : double_divide(X3,inverse(X3)) = double_divide(X4,inverse(X4)),
inference(superposition,[],[f76,f31]) ).
fof(f76,plain,
! [X25,X23] : double_divide(double_divide(X25,inverse(X23)),inverse(X23)) = X25,
inference(forward_demodulation,[],[f68,f52]) ).
fof(f52,plain,
! [X19,X20] : double_divide(inverse(X20),inverse(double_divide(X19,inverse(X19)))) = X20,
inference(superposition,[],[f27,f31]) ).
fof(f68,plain,
! [X24,X25,X23] : double_divide(double_divide(double_divide(inverse(X25),inverse(double_divide(X24,inverse(X24)))),inverse(X23)),inverse(X23)) = X25,
inference(superposition,[],[f6,f52]) ).
fof(f6,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(inverse(X0),X1),inverse(double_divide(inverse(X2),X1))),inverse(X2)) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f138,plain,
! [X24,X23] : inverse(double_divide(double_divide(inverse(X23),X24),X24)) = X23,
inference(forward_demodulation,[],[f107,f86]) ).
fof(f86,plain,
! [X21,X20] : inverse(X20) = double_divide(X20,inverse(double_divide(X21,inverse(X21)))),
inference(superposition,[],[f76,f52]) ).
fof(f107,plain,
! [X24,X25,X23] : double_divide(double_divide(double_divide(inverse(X23),X24),X24),inverse(double_divide(X25,inverse(X25)))) = X23,
inference(superposition,[],[f1,f81]) ).
fof(f153,plain,
a2 != inverse(inverse(a2)),
inference(forward_demodulation,[],[f108,f86]) ).
fof(f108,plain,
! [X26] : a2 != inverse(double_divide(a2,inverse(double_divide(X26,inverse(X26))))),
inference(superposition,[],[f4,f81]) ).
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/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP598-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:19:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 % (5759)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)
% 0.20/0.47 % (5751)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)
% 0.20/0.51 % (5751)Instruction limit reached!
% 0.20/0.51 % (5751)------------------------------
% 0.20/0.51 % (5751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (5751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (5751)Termination reason: Unknown
% 0.20/0.52 % (5751)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (5751)Memory used [KB]: 11001
% 0.20/0.52 % (5751)Time elapsed: 0.081 s
% 0.20/0.52 % (5751)Instructions burned: 38 (million)
% 0.20/0.52 % (5751)------------------------------
% 0.20/0.52 % (5751)------------------------------
% 0.20/0.52 % (5744)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)
% 0.20/0.52 % (5759)Instruction limit reached!
% 0.20/0.52 % (5759)------------------------------
% 0.20/0.52 % (5759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (5759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (5759)Termination reason: Unknown
% 0.20/0.52 % (5759)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (5759)Memory used [KB]: 6268
% 0.20/0.52 % (5759)Time elapsed: 0.112 s
% 0.20/0.52 % (5759)Instructions burned: 48 (million)
% 0.20/0.52 % (5759)------------------------------
% 0.20/0.52 % (5759)------------------------------
% 0.20/0.52 % (5743)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 % (5745)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)
% 0.20/0.53 % (5748)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)
% 0.20/0.53 % (5747)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 % (5765)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 % (5746)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)
% 0.20/0.53 % (5761)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)
% 0.20/0.53 % (5746)Instruction limit reached!
% 0.20/0.53 % (5746)------------------------------
% 0.20/0.53 % (5746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5746)Termination reason: Unknown
% 0.20/0.53 % (5746)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (5746)Memory used [KB]: 5628
% 0.20/0.53 % (5746)Time elapsed: 0.128 s
% 0.20/0.53 % (5746)Instructions burned: 7 (million)
% 0.20/0.53 % (5746)------------------------------
% 0.20/0.53 % (5746)------------------------------
% 0.20/0.54 % (5760)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)
% 0.20/0.54 % (5769)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 % (5762)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)
% 0.20/0.54 % (5772)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 % (5757)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)
% 0.20/0.54 % (5763)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.54 % (5750)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 % (5752)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)
% 0.20/0.54 % (5764)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)
% 0.20/0.54 % (5754)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 % (5755)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)
% 0.20/0.55 % (5767)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 % (5768)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)
% 0.20/0.55 % (5770)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)
% 0.20/0.55 % (5771)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)
% 0.20/0.55 % (5766)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)
% 0.20/0.55 % (5756)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)
% 0.20/0.55 % (5749)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 % (5753)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 % (5744)Instruction limit reached!
% 0.20/0.55 % (5744)------------------------------
% 0.20/0.55 % (5744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (5744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (5744)Termination reason: Unknown
% 0.20/0.55 % (5744)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (5744)Memory used [KB]: 5756
% 0.20/0.55 % (5744)Time elapsed: 0.119 s
% 0.20/0.55 % (5744)Instructions burned: 10 (million)
% 0.20/0.55 % (5744)------------------------------
% 0.20/0.55 % (5744)------------------------------
% 0.20/0.56 % (5770)First to succeed.
% 0.20/0.56 % (5758)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)
% 0.20/0.56 % (5748)Instruction limit reached!
% 0.20/0.56 % (5748)------------------------------
% 0.20/0.56 % (5748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (5748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (5748)Termination reason: Unknown
% 0.20/0.56 % (5748)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (5748)Memory used [KB]: 5756
% 0.20/0.56 % (5748)Time elapsed: 0.155 s
% 0.20/0.56 % (5748)Instructions burned: 21 (million)
% 0.20/0.56 % (5748)------------------------------
% 0.20/0.56 % (5748)------------------------------
% 0.20/0.57 % (5749)Instruction limit reached!
% 0.20/0.57 % (5749)------------------------------
% 0.20/0.57 % (5749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (5749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (5749)Termination reason: Unknown
% 0.20/0.57 % (5749)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (5749)Memory used [KB]: 5628
% 0.20/0.57 % (5749)Time elapsed: 0.116 s
% 0.20/0.57 % (5749)Instructions burned: 8 (million)
% 0.20/0.57 % (5749)------------------------------
% 0.20/0.57 % (5749)------------------------------
% 0.20/0.57 % (5762)Also succeeded, but the first one will report.
% 0.20/0.57 % (5770)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (5770)------------------------------
% 0.20/0.57 % (5770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (5770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (5770)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (5770)Memory used [KB]: 5756
% 0.20/0.57 % (5770)Time elapsed: 0.155 s
% 0.20/0.57 % (5770)Instructions burned: 12 (million)
% 0.20/0.57 % (5770)------------------------------
% 0.20/0.57 % (5770)------------------------------
% 0.20/0.57 % (5742)Success in time 0.211 s
%------------------------------------------------------------------------------