TSTP Solution File: GRP497-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP497-1 : 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 : 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 16:16:01 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 45 unt; 0 def)
% Number of atoms : 45 ( 44 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f286,plain,
$false,
inference(subsumption_resolution,[],[f285,f10]) ).
fof(f10,plain,
a2 != sF1,
inference(definition_folding,[],[f7,f9,f8]) ).
fof(f8,plain,
double_divide(a2,identity) = sF0,
introduced(function_definition,[]) ).
fof(f9,plain,
double_divide(sF0,identity) = sF1,
introduced(function_definition,[]) ).
fof(f7,plain,
a2 != double_divide(double_divide(a2,identity),identity),
inference(definition_unfolding,[],[f5,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
a2 != multiply(identity,a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f285,plain,
a2 = sF1,
inference(forward_demodulation,[],[f279,f55]) ).
fof(f55,plain,
double_divide(identity,sF0) = sF1,
inference(forward_demodulation,[],[f54,f25]) ).
fof(f25,plain,
identity = double_divide(identity,identity),
inference(superposition,[],[f1,f6]) ).
fof(f6,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),identity)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f54,plain,
double_divide(double_divide(identity,identity),sF0) = sF1,
inference(forward_demodulation,[],[f53,f6]) ).
fof(f53,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(identity,identity))),sF0) = sF1,
inference(forward_demodulation,[],[f49,f8]) ).
fof(f49,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(identity,identity))),double_divide(a2,identity)) = sF1,
inference(superposition,[],[f1,f44]) ).
fof(f44,plain,
a2 = double_divide(identity,double_divide(sF1,identity)),
inference(forward_demodulation,[],[f37,f9]) ).
fof(f37,plain,
a2 = double_divide(identity,double_divide(double_divide(sF0,identity),identity)),
inference(superposition,[],[f30,f11]) ).
fof(f11,plain,
identity = double_divide(a2,sF0),
inference(superposition,[],[f6,f8]) ).
fof(f30,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1,
inference(forward_demodulation,[],[f15,f25]) ).
fof(f15,plain,
! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1,
inference(superposition,[],[f1,f6]) ).
fof(f279,plain,
a2 = double_divide(identity,sF0),
inference(backward_demodulation,[],[f81,f270]) ).
fof(f270,plain,
sF0 = double_divide(identity,sF1),
inference(forward_demodulation,[],[f269,f120]) ).
fof(f120,plain,
sF0 = double_divide(identity,a2),
inference(backward_demodulation,[],[f32,f116]) ).
fof(f116,plain,
a2 = double_divide(double_divide(identity,sF1),identity),
inference(forward_demodulation,[],[f102,f55]) ).
fof(f102,plain,
a2 = double_divide(double_divide(identity,double_divide(identity,sF0)),identity),
inference(superposition,[],[f60,f8]) ).
fof(f60,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity) = X0,
inference(forward_demodulation,[],[f23,f25]) ).
fof(f23,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f6]) ).
fof(f32,plain,
double_divide(identity,double_divide(double_divide(identity,sF1),identity)) = sF0,
inference(superposition,[],[f30,f9]) ).
fof(f269,plain,
double_divide(identity,a2) = double_divide(identity,sF1),
inference(forward_demodulation,[],[f268,f116]) ).
fof(f268,plain,
double_divide(identity,double_divide(double_divide(identity,sF1),identity)) = double_divide(identity,sF1),
inference(forward_demodulation,[],[f266,f78]) ).
fof(f78,plain,
double_divide(sF1,identity) = double_divide(identity,sF1),
inference(forward_demodulation,[],[f77,f25]) ).
fof(f77,plain,
double_divide(sF1,identity) = double_divide(double_divide(identity,identity),sF1),
inference(forward_demodulation,[],[f76,f6]) ).
fof(f76,plain,
double_divide(sF1,identity) = double_divide(double_divide(identity,double_divide(identity,double_divide(identity,identity))),sF1),
inference(forward_demodulation,[],[f71,f9]) ).
fof(f71,plain,
double_divide(sF1,identity) = double_divide(double_divide(identity,double_divide(identity,double_divide(identity,identity))),double_divide(sF0,identity)),
inference(superposition,[],[f1,f38]) ).
fof(f38,plain,
double_divide(identity,double_divide(double_divide(sF1,identity),identity)) = sF0,
inference(superposition,[],[f30,f12]) ).
fof(f12,plain,
identity = double_divide(sF0,sF1),
inference(superposition,[],[f6,f9]) ).
fof(f266,plain,
double_divide(identity,double_divide(double_divide(sF1,identity),identity)) = double_divide(identity,sF1),
inference(superposition,[],[f30,f249]) ).
fof(f249,plain,
identity = double_divide(double_divide(identity,sF1),sF1),
inference(forward_demodulation,[],[f248,f55]) ).
fof(f248,plain,
identity = double_divide(double_divide(identity,double_divide(identity,sF0)),sF1),
inference(forward_demodulation,[],[f247,f9]) ).
fof(f247,plain,
identity = double_divide(double_divide(identity,double_divide(identity,sF0)),double_divide(sF0,identity)),
inference(forward_demodulation,[],[f212,f8]) ).
fof(f212,plain,
identity = double_divide(double_divide(identity,double_divide(identity,sF0)),double_divide(double_divide(a2,identity),identity)),
inference(superposition,[],[f13,f25]) ).
fof(f13,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,sF0)),double_divide(double_divide(a2,double_divide(X1,X0)),identity)) = X1,
inference(superposition,[],[f1,f8]) ).
fof(f81,plain,
a2 = double_divide(identity,double_divide(identity,sF1)),
inference(backward_demodulation,[],[f44,f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP497-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % 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 : n017.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 21:56:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (26344)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)
% 0.20/0.49 % (26343)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)
% 0.20/0.49 % (26342)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)
% 0.20/0.49 % (26345)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)
% 0.20/0.50 % (26360)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.50 % (26361)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)
% 0.20/0.50 % (26358)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)
% 0.20/0.51 % (26351)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)
% 0.20/0.51 % (26341)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)
% 0.20/0.51 % (26366)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)
% 0.20/0.51 % (26340)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.51 % (26359)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)
% 0.20/0.51 % (26346)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)
% 0.20/0.51 % (26353)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)
% 0.20/0.51 % (26352)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)
% 0.20/0.51 % (26340)First to succeed.
% 0.20/0.52 % (26346)Instruction limit reached!
% 0.20/0.52 % (26346)------------------------------
% 0.20/0.52 % (26346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (26346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (26346)Termination reason: Unknown
% 0.20/0.52 % (26346)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (26346)Memory used [KB]: 5628
% 0.20/0.52 % (26346)Time elapsed: 0.116 s
% 0.20/0.52 % (26346)Instructions burned: 8 (million)
% 0.20/0.52 % (26346)------------------------------
% 0.20/0.52 % (26346)------------------------------
% 0.20/0.52 % (26343)Instruction limit reached!
% 0.20/0.52 % (26343)------------------------------
% 0.20/0.52 % (26343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (26343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (26343)Termination reason: Unknown
% 0.20/0.52 % (26343)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (26343)Memory used [KB]: 5500
% 0.20/0.52 % (26343)Time elapsed: 0.126 s
% 0.20/0.52 % (26343)Instructions burned: 7 (million)
% 0.20/0.52 % (26343)------------------------------
% 0.20/0.52 % (26343)------------------------------
% 0.20/0.52 % (26367)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)
% 0.20/0.52 % (26368)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)
% 0.20/0.52 % (26363)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)
% 0.20/0.52 % (26348)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)
% 0.20/0.52 % (26369)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)
% 0.20/0.52 % (26356)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)
% 0.20/0.52 % (26362)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)
% 0.20/0.52 % (26364)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)
% 0.20/0.52 % (26354)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)
% 0.20/0.53 % (26357)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)
% 0.20/0.53 % (26365)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)
% 0.20/0.53 % (26355)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)
% 0.20/0.53 % (26350)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 % (26341)Instruction limit reached!
% 0.20/0.53 % (26341)------------------------------
% 0.20/0.53 % (26341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (26341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (26341)Termination reason: Unknown
% 0.20/0.53 % (26341)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (26341)Memory used [KB]: 5756
% 0.20/0.53 % (26341)Time elapsed: 0.120 s
% 0.20/0.53 % (26341)Instructions burned: 12 (million)
% 0.20/0.53 % (26341)------------------------------
% 0.20/0.53 % (26341)------------------------------
% 0.20/0.54 % (26345)Instruction limit reached!
% 0.20/0.54 % (26345)------------------------------
% 0.20/0.54 % (26345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (26345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (26345)Termination reason: Unknown
% 0.20/0.54 % (26345)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (26345)Memory used [KB]: 5756
% 0.20/0.54 % (26345)Time elapsed: 0.142 s
% 0.20/0.54 % (26345)Instructions burned: 21 (million)
% 0.20/0.54 % (26345)------------------------------
% 0.20/0.54 % (26345)------------------------------
% 0.20/0.54 % (26349)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 % (26340)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (26340)------------------------------
% 0.20/0.54 % (26340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (26340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (26340)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (26340)Memory used [KB]: 5628
% 0.20/0.54 % (26340)Time elapsed: 0.122 s
% 0.20/0.54 % (26340)Instructions burned: 13 (million)
% 0.20/0.54 % (26340)------------------------------
% 0.20/0.54 % (26340)------------------------------
% 0.20/0.54 % (26336)Success in time 0.189 s
%------------------------------------------------------------------------------