TSTP Solution File: GRP193-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP193-2 : 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 : n021.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 1.45s 0.56s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f480,plain,
$false,
inference(subsumption_resolution,[],[f479,f21]) ).
fof(f21,axiom,
greatest_lower_bound(a,multiply(b,c)) != greatest_lower_bound(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p8_9b) ).
fof(f479,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,c),
inference(backward_demodulation,[],[f181,f478]) ).
fof(f478,plain,
! [X29] : greatest_lower_bound(X29,multiply(b,X29)) = X29,
inference(forward_demodulation,[],[f441,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f441,plain,
! [X29] : greatest_lower_bound(multiply(identity,X29),multiply(b,X29)) = multiply(identity,X29),
inference(superposition,[],[f15,f17]) ).
fof(f17,axiom,
identity = greatest_lower_bound(identity,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_9b_2) ).
fof(f15,axiom,
! [X2,X0,X1] : multiply(greatest_lower_bound(X1,X2),X0) = greatest_lower_bound(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_glb2) ).
fof(f181,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,greatest_lower_bound(c,multiply(b,c))),
inference(superposition,[],[f121,f4]) ).
fof(f4,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_glb) ).
fof(f121,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,greatest_lower_bound(multiply(b,c),c)),
inference(backward_demodulation,[],[f120,f97]) ).
fof(f97,plain,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X0,greatest_lower_bound(X0,X1)),
inference(superposition,[],[f6,f9]) ).
fof(f9,axiom,
! [X0] : greatest_lower_bound(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_gld) ).
fof(f6,axiom,
! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_glb) ).
fof(f120,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,greatest_lower_bound(a,greatest_lower_bound(multiply(b,c),c))),
inference(backward_demodulation,[],[f27,f108]) ).
fof(f108,plain,
! [X6,X7,X5] : greatest_lower_bound(X5,greatest_lower_bound(X6,X7)) = greatest_lower_bound(X7,greatest_lower_bound(X5,X6)),
inference(superposition,[],[f6,f4]) ).
fof(f27,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,greatest_lower_bound(multiply(b,c),greatest_lower_bound(c,a))),
inference(forward_demodulation,[],[f26,f1]) ).
fof(f26,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,greatest_lower_bound(multiply(b,c),greatest_lower_bound(multiply(identity,c),a))),
inference(forward_demodulation,[],[f25,f1]) ).
fof(f25,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,greatest_lower_bound(multiply(b,c),greatest_lower_bound(multiply(identity,c),multiply(identity,a)))),
inference(backward_demodulation,[],[f24,f19]) ).
fof(f19,axiom,
identity = greatest_lower_bound(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_9b_4) ).
fof(f24,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(a,greatest_lower_bound(multiply(b,c),greatest_lower_bound(multiply(greatest_lower_bound(a,b),c),multiply(greatest_lower_bound(a,b),a)))),
inference(backward_demodulation,[],[f23,f6]) ).
fof(f23,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(greatest_lower_bound(a,multiply(b,c)),greatest_lower_bound(multiply(greatest_lower_bound(a,b),c),multiply(greatest_lower_bound(a,b),a))),
inference(backward_demodulation,[],[f22,f4]) ).
fof(f22,plain,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(greatest_lower_bound(a,multiply(b,c)),greatest_lower_bound(multiply(greatest_lower_bound(a,b),a),multiply(greatest_lower_bound(a,b),c))),
inference(backward_demodulation,[],[f20,f13]) ).
fof(f13,axiom,
! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_glb1) ).
fof(f20,axiom,
greatest_lower_bound(a,multiply(b,c)) = greatest_lower_bound(greatest_lower_bound(a,multiply(b,c)),multiply(greatest_lower_bound(a,b),greatest_lower_bound(a,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_9b_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP193-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:16:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (16123)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)
% 0.19/0.51 % (16114)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)
% 0.19/0.51 % (16102)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)
% 0.19/0.51 % (16107)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)
% 1.32/0.52 % (16103)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)
% 1.32/0.52 % (16115)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)
% 1.32/0.52 % (16096)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 1.32/0.52 % (16121)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)
% 1.32/0.52 % (16127)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)
% 1.32/0.52 % (16097)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)
% 1.32/0.52 % (16124)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)
% 1.32/0.53 % (16112)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)
% 1.32/0.53 % (16100)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)
% 1.32/0.53 % (16108)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)
% 1.32/0.53 % (16125)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)
% 1.32/0.53 % (16118)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)
% 1.32/0.53 % (16122)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)
% 1.32/0.53 % (16099)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)
% 1.32/0.53 % (16098)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)
% 1.32/0.53 % (16105)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)
% 1.32/0.53 % (16120)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)
% 1.32/0.53 % (16099)Instruction limit reached!
% 1.32/0.53 % (16099)------------------------------
% 1.32/0.53 % (16099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53 % (16117)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 1.45/0.54 % (16111)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)
% 1.45/0.54 % (16116)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)
% 1.45/0.54 % (16103)Instruction limit reached!
% 1.45/0.54 % (16103)------------------------------
% 1.45/0.54 % (16103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (16110)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)
% 1.45/0.54 % (16109)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)
% 1.45/0.54 % (16106)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)
% 1.45/0.54 % (16102)Instruction limit reached!
% 1.45/0.54 % (16102)------------------------------
% 1.45/0.54 % (16102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (16104)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.45/0.54 % (16113)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)
% 1.45/0.54 % (16097)Instruction limit reached!
% 1.45/0.54 % (16097)------------------------------
% 1.45/0.54 % (16097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (16097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (16097)Termination reason: Unknown
% 1.45/0.54 % (16097)Termination phase: Saturation
% 1.45/0.54
% 1.45/0.54 % (16097)Memory used [KB]: 5756
% 1.45/0.54 % (16097)Time elapsed: 0.117 s
% 1.45/0.54 % (16097)Instructions burned: 10 (million)
% 1.45/0.54 % (16097)------------------------------
% 1.45/0.54 % (16097)------------------------------
% 1.45/0.55 % (16103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (16099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (16103)Termination reason: Unknown
% 1.45/0.55 % (16099)Termination reason: Unknown
% 1.45/0.55 % (16103)Termination phase: Saturation
% 1.45/0.55 % (16099)Termination phase: Saturation
% 1.45/0.55
% 1.45/0.55
% 1.45/0.55 % (16103)Memory used [KB]: 5500
% 1.45/0.55 % (16099)Memory used [KB]: 5628
% 1.45/0.55 % (16103)Time elapsed: 0.144 s
% 1.45/0.55 % (16099)Time elapsed: 0.136 s
% 1.45/0.55 % (16103)Instructions burned: 7 (million)
% 1.45/0.55 % (16099)Instructions burned: 7 (million)
% 1.45/0.55 % (16103)------------------------------
% 1.45/0.55 % (16103)------------------------------
% 1.45/0.55 % (16099)------------------------------
% 1.45/0.55 % (16099)------------------------------
% 1.45/0.55 % (16127)First to succeed.
% 1.45/0.55 % (16126)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)
% 1.45/0.55 % (16102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (16102)Termination reason: Unknown
% 1.45/0.55 % (16102)Termination phase: Saturation
% 1.45/0.55
% 1.45/0.55 % (16102)Memory used [KB]: 5884
% 1.45/0.55 % (16102)Time elapsed: 0.149 s
% 1.45/0.55 % (16102)Instructions burned: 21 (million)
% 1.45/0.55 % (16102)------------------------------
% 1.45/0.55 % (16102)------------------------------
% 1.45/0.56 % (16123)Also succeeded, but the first one will report.
% 1.45/0.56 % (16127)Refutation found. Thanks to Tanya!
% 1.45/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.45/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.56 % (16127)------------------------------
% 1.45/0.56 % (16127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.56 % (16127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56 % (16127)Termination reason: Refutation
% 1.45/0.56
% 1.45/0.56 % (16127)Memory used [KB]: 5884
% 1.45/0.56 % (16127)Time elapsed: 0.166 s
% 1.45/0.56 % (16127)Instructions burned: 21 (million)
% 1.45/0.56 % (16127)------------------------------
% 1.45/0.56 % (16127)------------------------------
% 1.45/0.56 % (16094)Success in time 0.215 s
%------------------------------------------------------------------------------