TSTP Solution File: GRP190-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP190-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n017.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 16:14:49 EDT 2022
% Result : Unsatisfiable 2.40s 0.63s
% Output : Refutation 2.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2051,plain,
$false,
inference(subsumption_resolution,[],[f2038,f18]) ).
fof(f18,plain,
inverse(a) != greatest_lower_bound(inverse(b),inverse(a)),
inference(backward_demodulation,[],[f17,f4]) ).
fof(f4,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_glb) ).
fof(f17,axiom,
inverse(a) != greatest_lower_bound(inverse(a),inverse(b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p39c) ).
fof(f2038,plain,
inverse(a) = greatest_lower_bound(inverse(b),inverse(a)),
inference(superposition,[],[f4,f1825]) ).
fof(f1825,plain,
inverse(a) = greatest_lower_bound(inverse(a),inverse(b)),
inference(superposition,[],[f11,f1818]) ).
fof(f1818,plain,
inverse(b) = least_upper_bound(inverse(a),inverse(b)),
inference(forward_demodulation,[],[f1783,f240]) ).
fof(f240,plain,
! [X1] : multiply(X1,identity) = X1,
inference(backward_demodulation,[],[f115,f237]) ).
fof(f237,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f233,f115]) ).
fof(f233,plain,
! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
inference(superposition,[],[f111,f124]) ).
fof(f124,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f111,f115]) ).
fof(f111,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f109,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f109,plain,
! [X2,X3] : multiply(identity,X3) = multiply(inverse(X2),multiply(X2,X3)),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f115,plain,
! [X1] : multiply(inverse(inverse(X1)),identity) = X1,
inference(superposition,[],[f111,f2]) ).
fof(f1783,plain,
inverse(b) = least_upper_bound(multiply(inverse(a),identity),inverse(b)),
inference(superposition,[],[f906,f243]) ).
fof(f243,plain,
! [X2] : identity = multiply(X2,inverse(X2)),
inference(superposition,[],[f2,f237]) ).
fof(f906,plain,
! [X2] : least_upper_bound(multiply(inverse(a),multiply(b,X2)),X2) = X2,
inference(forward_demodulation,[],[f905,f3]) ).
fof(f905,plain,
! [X2] : least_upper_bound(multiply(multiply(inverse(a),b),X2),X2) = X2,
inference(forward_demodulation,[],[f898,f1]) ).
fof(f898,plain,
! [X2] : multiply(identity,X2) = least_upper_bound(multiply(multiply(inverse(a),b),X2),multiply(identity,X2)),
inference(superposition,[],[f14,f837]) ).
fof(f837,plain,
identity = least_upper_bound(multiply(inverse(a),b),identity),
inference(superposition,[],[f191,f2]) ).
fof(f191,plain,
! [X19] : multiply(X19,a) = least_upper_bound(multiply(X19,b),multiply(X19,a)),
inference(superposition,[],[f12,f19]) ).
fof(f19,plain,
a = least_upper_bound(b,a),
inference(backward_demodulation,[],[f16,f5]) ).
fof(f5,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_lub) ).
fof(f16,axiom,
a = least_upper_bound(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39c_1) ).
fof(f12,axiom,
! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_lub1) ).
fof(f14,axiom,
! [X2,X0,X1] : multiply(least_upper_bound(X1,X2),X0) = least_upper_bound(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_lub2) ).
fof(f11,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',glb_absorbtion) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : GRP190-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31 % Computer : n017.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Aug 29 21:43:35 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.16/0.46 % (13783)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)
% 0.16/0.46 % (13799)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)
% 0.16/0.47 % (13791)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)
% 0.16/0.47 % (13784)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.16/0.47 % (13783)Instruction limit reached!
% 0.16/0.47 % (13783)------------------------------
% 0.16/0.47 % (13783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (13800)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)
% 0.16/0.48 % (13790)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)
% 0.16/0.49 % (13783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (13783)Termination reason: Unknown
% 0.16/0.49 % (13783)Termination phase: Saturation
% 0.16/0.49
% 0.16/0.49 % (13783)Memory used [KB]: 5628
% 0.16/0.49 % (13783)Time elapsed: 0.106 s
% 0.16/0.49 % (13783)Instructions burned: 7 (million)
% 0.16/0.49 % (13783)------------------------------
% 0.16/0.49 % (13783)------------------------------
% 0.16/0.49 % (13806)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)
% 0.16/0.49 % (13798)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)
% 0.16/0.49 % (13792)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)
% 0.16/0.50 % (13789)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)
% 0.16/0.52 % (13795)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)
% 0.16/0.52 % (13778)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)
% 0.16/0.52 % (13780)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)
% 0.16/0.52 % (13782)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)
% 0.16/0.52 % (13780)Instruction limit reached!
% 0.16/0.52 % (13780)------------------------------
% 0.16/0.52 % (13780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52 % (13780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52 % (13780)Termination reason: Unknown
% 0.16/0.52 % (13780)Termination phase: Saturation
% 0.16/0.52
% 0.16/0.52 % (13780)Memory used [KB]: 5500
% 0.16/0.52 % (13780)Time elapsed: 0.144 s
% 0.16/0.52 % (13780)Instructions burned: 6 (million)
% 0.16/0.52 % (13780)------------------------------
% 0.16/0.52 % (13780)------------------------------
% 0.16/0.52 % (13803)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)
% 0.16/0.52 % (13781)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)
% 0.16/0.52 % (13793)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)
% 0.16/0.53 % (13784)Instruction limit reached!
% 0.16/0.53 % (13784)------------------------------
% 0.16/0.53 % (13784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53 % (13787)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)
% 0.16/0.54 % (13796)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)
% 0.16/0.54 % (13785)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)
% 0.16/0.54 % (13788)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)
% 0.16/0.54 % (13797)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.16/0.54 % (13804)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)
% 0.16/0.54 % (13784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54 % (13784)Termination reason: Unknown
% 0.16/0.54 % (13784)Termination phase: Saturation
% 0.16/0.54
% 0.16/0.54 % (13784)Memory used [KB]: 6268
% 0.16/0.54 % (13784)Time elapsed: 0.155 s
% 0.16/0.54 % (13784)Instructions burned: 33 (million)
% 0.16/0.54 % (13784)------------------------------
% 0.16/0.54 % (13784)------------------------------
% 0.16/0.54 % (13801)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)
% 0.16/0.54 % (13805)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)
% 0.16/0.54 % (13778)Instruction limit reached!
% 0.16/0.54 % (13778)------------------------------
% 0.16/0.54 % (13778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54 % (13778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54 % (13778)Termination reason: Unknown
% 0.16/0.54 % (13778)Termination phase: Saturation
% 0.16/0.54
% 0.16/0.54 % (13778)Memory used [KB]: 5628
% 0.16/0.54 % (13778)Time elapsed: 0.146 s
% 0.16/0.54 % (13778)Instructions burned: 10 (million)
% 0.16/0.54 % (13778)------------------------------
% 0.16/0.54 % (13778)------------------------------
% 0.16/0.55 % (13782)Instruction limit reached!
% 0.16/0.55 % (13782)------------------------------
% 0.16/0.55 % (13782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55 % (13782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55 % (13782)Termination reason: Unknown
% 0.16/0.55 % (13782)Termination phase: Saturation
% 0.16/0.55
% 0.16/0.55 % (13782)Memory used [KB]: 6012
% 0.16/0.55 % (13782)Time elapsed: 0.178 s
% 0.16/0.55 % (13782)Instructions burned: 20 (million)
% 0.16/0.55 % (13782)------------------------------
% 0.16/0.55 % (13782)------------------------------
% 0.16/0.57 % (13802)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)
% 0.16/0.57 % (13794)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)
% 0.16/0.58 % (13806)Instruction limit reached!
% 0.16/0.58 % (13806)------------------------------
% 0.16/0.58 % (13806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.58 % (13806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.58 % (13806)Termination reason: Unknown
% 0.16/0.58 % (13806)Termination phase: Saturation
% 0.16/0.58
% 0.16/0.58 % (13806)Memory used [KB]: 6140
% 0.16/0.58 % (13806)Time elapsed: 0.211 s
% 0.16/0.59 % (13806)Instructions burned: 48 (million)
% 0.16/0.59 % (13806)------------------------------
% 0.16/0.59 % (13806)------------------------------
% 0.16/0.60 % (13786)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)
% 2.21/0.61 % (13792)First to succeed.
% 2.21/0.61 % (13779)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)
% 2.21/0.62 % (13787)Instruction limit reached!
% 2.21/0.62 % (13787)------------------------------
% 2.21/0.62 % (13787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.62 % (13787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.62 % (13787)Termination reason: Unknown
% 2.21/0.62 % (13787)Termination phase: Saturation
% 2.21/0.62
% 2.21/0.62 % (13787)Memory used [KB]: 6780
% 2.21/0.62 % (13787)Time elapsed: 0.242 s
% 2.21/0.62 % (13787)Instructions burned: 37 (million)
% 2.21/0.62 % (13787)------------------------------
% 2.21/0.62 % (13787)------------------------------
% 2.21/0.62 % (13793)Instruction limit reached!
% 2.21/0.62 % (13793)------------------------------
% 2.21/0.62 % (13793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.62 % (13793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.62 % (13793)Termination reason: Unknown
% 2.21/0.62 % (13793)Termination phase: Saturation
% 2.21/0.62
% 2.21/0.62 % (13793)Memory used [KB]: 6012
% 2.21/0.62 % (13793)Time elapsed: 0.257 s
% 2.21/0.62 % (13793)Instructions burned: 48 (million)
% 2.21/0.62 % (13793)------------------------------
% 2.21/0.62 % (13793)------------------------------
% 2.40/0.63 % (13792)Refutation found. Thanks to Tanya!
% 2.40/0.63 % SZS status Unsatisfiable for theBenchmark
% 2.40/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.40/0.63 % (13792)------------------------------
% 2.40/0.63 % (13792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.40/0.63 % (13792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.40/0.63 % (13792)Termination reason: Refutation
% 2.40/0.63
% 2.40/0.63 % (13792)Memory used [KB]: 6652
% 2.40/0.63 % (13792)Time elapsed: 0.238 s
% 2.40/0.63 % (13792)Instructions burned: 76 (million)
% 2.40/0.63 % (13792)------------------------------
% 2.40/0.63 % (13792)------------------------------
% 2.40/0.63 % (13776)Success in time 0.309 s
%------------------------------------------------------------------------------