TSTP Solution File: GRP147-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP147-1 : 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 : n026.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 16:14:34 EDT 2022
% Result : Unsatisfiable 1.50s 0.59s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 37 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 : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f781,plain,
$false,
inference(subsumption_resolution,[],[f780,f21]) ).
fof(f21,plain,
sF0 != sF1,
inference(definition_folding,[],[f18,f20,f19,f19]) ).
fof(f19,plain,
least_upper_bound(a,b) = sF0,
introduced(function_definition,[]) ).
fof(f20,plain,
sF1 = greatest_lower_bound(sF0,c),
introduced(function_definition,[]) ).
fof(f18,axiom,
least_upper_bound(a,b) != greatest_lower_bound(least_upper_bound(a,b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_lub1b) ).
fof(f780,plain,
sF0 = sF1,
inference(forward_demodulation,[],[f779,f315]) ).
fof(f315,plain,
least_upper_bound(a,sF1) = sF1,
inference(superposition,[],[f313,f5]) ).
fof(f5,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_lub) ).
fof(f313,plain,
least_upper_bound(sF1,a) = sF1,
inference(superposition,[],[f25,f311]) ).
fof(f311,plain,
a = greatest_lower_bound(a,sF1),
inference(forward_demodulation,[],[f303,f34]) ).
fof(f34,plain,
a = greatest_lower_bound(a,sF0),
inference(superposition,[],[f11,f19]) ).
fof(f11,axiom,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',glb_absorbtion) ).
fof(f303,plain,
greatest_lower_bound(a,sF0) = greatest_lower_bound(a,sF1),
inference(superposition,[],[f59,f23]) ).
fof(f23,plain,
sF1 = greatest_lower_bound(c,sF0),
inference(backward_demodulation,[],[f20,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(f59,plain,
! [X15] : greatest_lower_bound(a,greatest_lower_bound(c,X15)) = greatest_lower_bound(a,X15),
inference(superposition,[],[f6,f16]) ).
fof(f16,axiom,
a = greatest_lower_bound(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_lub1b_1) ).
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(f25,plain,
! [X2,X1] : least_upper_bound(X1,greatest_lower_bound(X2,X1)) = X1,
inference(superposition,[],[f10,f4]) ).
fof(f10,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lub_absorbtion) ).
fof(f779,plain,
least_upper_bound(a,sF1) = sF0,
inference(forward_demodulation,[],[f774,f51]) ).
fof(f51,plain,
sF0 = least_upper_bound(sF0,sF1),
inference(superposition,[],[f25,f23]) ).
fof(f774,plain,
least_upper_bound(a,sF1) = least_upper_bound(sF0,sF1),
inference(superposition,[],[f96,f766]) ).
fof(f766,plain,
least_upper_bound(b,sF1) = sF1,
inference(superposition,[],[f739,f5]) ).
fof(f739,plain,
sF1 = least_upper_bound(sF1,b),
inference(superposition,[],[f25,f727]) ).
fof(f727,plain,
b = greatest_lower_bound(b,sF1),
inference(forward_demodulation,[],[f715,f125]) ).
fof(f125,plain,
b = greatest_lower_bound(b,sF0),
inference(superposition,[],[f31,f19]) ).
fof(f31,plain,
! [X2,X1] : greatest_lower_bound(X1,least_upper_bound(X2,X1)) = X1,
inference(superposition,[],[f11,f5]) ).
fof(f715,plain,
greatest_lower_bound(b,sF1) = greatest_lower_bound(b,sF0),
inference(superposition,[],[f700,f4]) ).
fof(f700,plain,
greatest_lower_bound(b,sF1) = greatest_lower_bound(sF0,b),
inference(superposition,[],[f693,f4]) ).
fof(f693,plain,
greatest_lower_bound(sF1,b) = greatest_lower_bound(sF0,b),
inference(superposition,[],[f347,f61]) ).
fof(f61,plain,
! [X17] : greatest_lower_bound(c,greatest_lower_bound(sF0,X17)) = greatest_lower_bound(sF1,X17),
inference(superposition,[],[f6,f23]) ).
fof(f347,plain,
! [X0] : greatest_lower_bound(X0,b) = greatest_lower_bound(c,greatest_lower_bound(X0,b)),
inference(superposition,[],[f60,f4]) ).
fof(f60,plain,
! [X16] : greatest_lower_bound(b,X16) = greatest_lower_bound(c,greatest_lower_bound(b,X16)),
inference(superposition,[],[f6,f22]) ).
fof(f22,plain,
b = greatest_lower_bound(c,b),
inference(backward_demodulation,[],[f17,f4]) ).
fof(f17,axiom,
b = greatest_lower_bound(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_lub1b_2) ).
fof(f96,plain,
! [X18] : least_upper_bound(sF0,X18) = least_upper_bound(a,least_upper_bound(b,X18)),
inference(superposition,[],[f7,f19]) ).
fof(f7,axiom,
! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_lub) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP147-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 29 22:31:05 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.52 % (18708)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)
% 0.22/0.52 % (18699)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)
% 0.22/0.52 % (18693)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)
% 0.22/0.53 % (18689)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)
% 0.22/0.53 % (18683)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 1.34/0.53 % (18684)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)
% 1.34/0.53 % (18697)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)
% 1.34/0.53 % (18690)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)
% 1.34/0.54 % (18687)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)
% 1.34/0.54 % (18712)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)
% 1.34/0.54 % (18706)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)
% 1.34/0.54 % (18690)Instruction limit reached!
% 1.34/0.54 % (18690)------------------------------
% 1.34/0.54 % (18690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (18690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (18690)Termination reason: Unknown
% 1.34/0.54 % (18690)Termination phase: Saturation
% 1.34/0.54
% 1.34/0.54 % (18690)Memory used [KB]: 5628
% 1.34/0.54 % (18690)Time elapsed: 0.116 s
% 1.34/0.54 % (18690)Instructions burned: 9 (million)
% 1.34/0.54 % (18690)------------------------------
% 1.34/0.54 % (18690)------------------------------
% 1.34/0.54 % (18687)Instruction limit reached!
% 1.34/0.54 % (18687)------------------------------
% 1.34/0.54 % (18687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (18687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (18687)Termination reason: Unknown
% 1.34/0.54 % (18687)Termination phase: Saturation
% 1.34/0.54
% 1.34/0.54 % (18687)Memory used [KB]: 5500
% 1.34/0.54 % (18687)Time elapsed: 0.116 s
% 1.34/0.54 % (18687)Instructions burned: 6 (million)
% 1.34/0.54 % (18687)------------------------------
% 1.34/0.54 % (18687)------------------------------
% 1.34/0.54 % (18695)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)
% 1.34/0.54 % (18707)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)
% 1.34/0.54 % (18688)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)
% 1.34/0.54 % (18714)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)
% 1.34/0.54 % (18698)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)
% 1.34/0.55 % (18711)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)
% 1.34/0.55 % (18704)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)
% 1.34/0.55 % (18703)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)
% 1.34/0.55 % (18692)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)
% 1.34/0.55 % (18705)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 1.34/0.55 % (18700)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)
% 1.34/0.56 % (18694)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)
% 1.34/0.56 % (18689)Instruction limit reached!
% 1.34/0.56 % (18689)------------------------------
% 1.34/0.56 % (18689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.56 % (18689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.56 % (18689)Termination reason: Unknown
% 1.34/0.56 % (18689)Termination phase: Saturation
% 1.34/0.56
% 1.34/0.56 % (18689)Memory used [KB]: 6012
% 1.34/0.56 % (18689)Time elapsed: 0.145 s
% 1.34/0.56 % (18689)Instructions burned: 21 (million)
% 1.34/0.56 % (18689)------------------------------
% 1.34/0.56 % (18689)------------------------------
% 1.50/0.56 % (18686)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)
% 1.50/0.56 % (18696)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)
% 1.50/0.56 % (18684)Instruction limit reached!
% 1.50/0.56 % (18684)------------------------------
% 1.50/0.56 % (18684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (18684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (18684)Termination reason: Unknown
% 1.50/0.56 % (18684)Termination phase: Saturation
% 1.50/0.56
% 1.50/0.56 % (18684)Memory used [KB]: 5756
% 1.50/0.56 % (18684)Time elapsed: 0.119 s
% 1.50/0.56 % (18684)Instructions burned: 10 (million)
% 1.50/0.56 % (18684)------------------------------
% 1.50/0.56 % (18684)------------------------------
% 1.50/0.56 % (18709)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)
% 1.50/0.56 % (18710)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)
% 1.50/0.56 % (18701)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)
% 1.50/0.56 % (18713)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)
% 1.50/0.56 % (18691)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.50/0.57 % (18683)First to succeed.
% 1.50/0.58 % (18693)Instruction limit reached!
% 1.50/0.58 % (18693)------------------------------
% 1.50/0.58 % (18693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.59 % (18683)Refutation found. Thanks to Tanya!
% 1.50/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.50/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.59 % (18683)------------------------------
% 1.50/0.59 % (18683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.59 % (18683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.59 % (18683)Termination reason: Refutation
% 1.50/0.59
% 1.50/0.59 % (18683)Memory used [KB]: 6012
% 1.50/0.59 % (18683)Time elapsed: 0.157 s
% 1.50/0.59 % (18683)Instructions burned: 32 (million)
% 1.50/0.59 % (18683)------------------------------
% 1.50/0.59 % (18683)------------------------------
% 1.50/0.59 % (18681)Success in time 0.225 s
%------------------------------------------------------------------------------