TSTP Solution File: GRP568-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP568-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : n022.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 16:16:33 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 9
% Syntax : Number of formulae : 59 ( 59 unt; 0 def)
% Number of atoms : 59 ( 58 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f552,plain,
$false,
inference(subsumption_resolution,[],[f551,f12]) ).
fof(f12,plain,
sF3 != sF1,
inference(definition_folding,[],[f7,f11,f10,f9,f8]) ).
fof(f8,plain,
double_divide(b,a) = sF0,
introduced(function_definition,[]) ).
fof(f9,plain,
double_divide(sF0,identity) = sF1,
introduced(function_definition,[]) ).
fof(f10,plain,
double_divide(a,b) = sF2,
introduced(function_definition,[]) ).
fof(f11,plain,
sF3 = double_divide(sF2,identity),
introduced(function_definition,[]) ).
fof(f7,plain,
double_divide(double_divide(b,a),identity) != double_divide(double_divide(a,b),identity),
inference(definition_unfolding,[],[f5,f2,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,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
fof(f551,plain,
sF3 = sF1,
inference(forward_demodulation,[],[f544,f47]) ).
fof(f47,plain,
double_divide(identity,sF0) = sF1,
inference(superposition,[],[f43,f27]) ).
fof(f27,plain,
! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = X0,
inference(forward_demodulation,[],[f23,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(f23,plain,
! [X0] : double_divide(double_divide(X0,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f6]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f43,plain,
! [X0] : sF1 = double_divide(double_divide(double_divide(X0,sF0),X0),double_divide(identity,identity)),
inference(superposition,[],[f1,f35]) ).
fof(f35,plain,
! [X0] : double_divide(double_divide(sF1,double_divide(double_divide(X0,sF0),identity)),double_divide(identity,identity)) = X0,
inference(forward_demodulation,[],[f34,f6]) ).
fof(f34,plain,
! [X0] : double_divide(double_divide(sF1,double_divide(double_divide(X0,sF0),double_divide(identity,double_divide(identity,identity)))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f28]) ).
fof(f28,plain,
double_divide(sF1,double_divide(identity,identity)) = sF0,
inference(superposition,[],[f27,f9]) ).
fof(f544,plain,
sF3 = double_divide(identity,sF0),
inference(backward_demodulation,[],[f67,f541]) ).
fof(f541,plain,
sF0 = sF2,
inference(forward_demodulation,[],[f537,f10]) ).
fof(f537,plain,
double_divide(a,b) = sF0,
inference(superposition,[],[f156,f534]) ).
fof(f534,plain,
a = double_divide(b,sF0),
inference(superposition,[],[f455,f512]) ).
fof(f512,plain,
b = double_divide(a,sF0),
inference(backward_demodulation,[],[f489,f476]) ).
fof(f476,plain,
! [X6] : double_divide(sF0,X6) = double_divide(X6,sF0),
inference(superposition,[],[f455,f156]) ).
fof(f489,plain,
b = double_divide(sF0,a),
inference(superposition,[],[f455,f8]) ).
fof(f455,plain,
! [X22,X20] : double_divide(double_divide(X22,X20),X20) = X22,
inference(forward_demodulation,[],[f396,f332]) ).
fof(f332,plain,
! [X14] : double_divide(identity,double_divide(identity,X14)) = X14,
inference(backward_demodulation,[],[f248,f310]) ).
fof(f310,plain,
! [X3] : double_divide(X3,identity) = double_divide(identity,X3),
inference(superposition,[],[f110,f248]) ).
fof(f110,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(backward_demodulation,[],[f27,f107]) ).
fof(f107,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f106,f6]) ).
fof(f106,plain,
double_divide(identity,identity) = double_divide(identity,double_divide(identity,identity)),
inference(forward_demodulation,[],[f103,f6]) ).
fof(f103,plain,
double_divide(identity,identity) = double_divide(double_divide(sF1,double_divide(sF1,identity)),double_divide(identity,identity)),
inference(superposition,[],[f35,f101]) ).
fof(f101,plain,
double_divide(double_divide(identity,identity),sF0) = sF1,
inference(forward_demodulation,[],[f95,f48]) ).
fof(f48,plain,
! [X0] : double_divide(double_divide(X0,sF1),double_divide(identity,identity)) = double_divide(double_divide(X0,identity),sF0),
inference(superposition,[],[f1,f43]) ).
fof(f95,plain,
sF1 = double_divide(double_divide(identity,sF1),double_divide(identity,identity)),
inference(backward_demodulation,[],[f33,f92]) ).
fof(f92,plain,
double_divide(sF0,double_divide(identity,identity)) = sF1,
inference(forward_demodulation,[],[f90,f28]) ).
fof(f90,plain,
double_divide(double_divide(sF1,double_divide(identity,identity)),double_divide(identity,identity)) = sF1,
inference(superposition,[],[f35,f88]) ).
fof(f88,plain,
identity = double_divide(sF1,sF0),
inference(forward_demodulation,[],[f87,f9]) ).
fof(f87,plain,
identity = double_divide(double_divide(sF0,identity),sF0),
inference(forward_demodulation,[],[f79,f6]) ).
fof(f79,plain,
double_divide(double_divide(sF0,identity),sF0) = double_divide(identity,double_divide(identity,identity)),
inference(superposition,[],[f48,f13]) ).
fof(f13,plain,
identity = double_divide(sF0,sF1),
inference(superposition,[],[f6,f9]) ).
fof(f33,plain,
double_divide(double_divide(identity,double_divide(sF0,double_divide(identity,identity))),double_divide(identity,identity)) = sF1,
inference(superposition,[],[f1,f28]) ).
fof(f248,plain,
! [X14] : double_divide(double_divide(identity,X14),identity) = X14,
inference(forward_demodulation,[],[f211,f110]) ).
fof(f211,plain,
! [X14] : double_divide(double_divide(identity,double_divide(double_divide(X14,identity),identity)),identity) = X14,
inference(superposition,[],[f109,f107]) ).
fof(f109,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),identity) = X1,
inference(backward_demodulation,[],[f1,f107]) ).
fof(f396,plain,
! [X22,X20] : double_divide(identity,double_divide(identity,double_divide(double_divide(X22,X20),X20))) = X22,
inference(superposition,[],[f328,f328]) ).
fof(f328,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2)))) = X1,
inference(backward_demodulation,[],[f109,f310]) ).
fof(f156,plain,
! [X1] : double_divide(double_divide(X1,sF0),X1) = sF0,
inference(forward_demodulation,[],[f153,f111]) ).
fof(f111,plain,
double_divide(sF1,identity) = sF0,
inference(backward_demodulation,[],[f28,f107]) ).
fof(f153,plain,
! [X1] : double_divide(sF1,identity) = double_divide(double_divide(X1,sF0),X1),
inference(superposition,[],[f110,f116]) ).
fof(f116,plain,
! [X0] : double_divide(double_divide(double_divide(X0,sF0),X0),identity) = sF1,
inference(backward_demodulation,[],[f43,f107]) ).
fof(f67,plain,
sF3 = double_divide(identity,sF2),
inference(superposition,[],[f63,f27]) ).
fof(f63,plain,
! [X0] : sF3 = double_divide(double_divide(double_divide(X0,sF2),X0),double_divide(identity,identity)),
inference(superposition,[],[f1,f38]) ).
fof(f38,plain,
! [X0] : double_divide(double_divide(sF3,double_divide(double_divide(X0,sF2),identity)),double_divide(identity,identity)) = X0,
inference(forward_demodulation,[],[f37,f6]) ).
fof(f37,plain,
! [X0] : double_divide(double_divide(sF3,double_divide(double_divide(X0,sF2),double_divide(identity,double_divide(identity,identity)))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f29]) ).
fof(f29,plain,
double_divide(sF3,double_divide(identity,identity)) = sF2,
inference(superposition,[],[f27,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP568-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 22:33:56 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (17360)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.19/0.49 % (17362)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)
% 0.19/0.49 % (17377)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)
% 0.19/0.50 % (17383)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)
% 0.19/0.50 % (17386)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)
% 0.19/0.50 % (17373)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)
% 0.19/0.50 % (17369)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)
% 0.19/0.51 % (17371)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)
% 0.19/0.51 % (17363)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)
% 0.19/0.51 % (17380)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)
% 0.19/0.51 % (17388)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)
% 0.19/0.51 % (17363)Instruction limit reached!
% 0.19/0.51 % (17363)------------------------------
% 0.19/0.51 % (17363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (17363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (17363)Termination reason: Unknown
% 0.19/0.51 % (17363)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (17363)Memory used [KB]: 5500
% 0.19/0.51 % (17363)Time elapsed: 0.119 s
% 0.19/0.51 % (17363)Instructions burned: 8 (million)
% 0.19/0.51 % (17363)------------------------------
% 0.19/0.51 % (17363)------------------------------
% 0.19/0.51 % (17390)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)
% 0.19/0.51 % (17366)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)
% 0.19/0.51 % (17385)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)
% 0.19/0.52 % (17367)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.52 % (17366)Instruction limit reached!
% 0.19/0.52 % (17366)------------------------------
% 0.19/0.52 % (17366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (17366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (17366)Termination reason: Unknown
% 0.19/0.52 % (17366)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (17366)Memory used [KB]: 5500
% 0.19/0.52 % (17366)Time elapsed: 0.121 s
% 0.19/0.52 % (17366)Instructions burned: 8 (million)
% 0.19/0.52 % (17366)------------------------------
% 0.19/0.52 % (17366)------------------------------
% 0.19/0.52 % (17389)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)
% 0.19/0.52 % (17387)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)
% 0.19/0.52 % (17376)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)
% 0.19/0.52 % (17384)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)
% 0.19/0.52 % (17360)First to succeed.
% 0.19/0.52 % (17382)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)
% 0.19/0.52 % (17365)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)
% 0.19/0.52 % (17370)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)
% 0.19/0.52 % (17372)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)
% 0.19/0.53 % (17368)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)
% 0.19/0.53 % (17364)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)
% 0.19/0.53 % (17375)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)
% 0.19/0.53 % (17381)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.19/0.53 % (17360)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (17360)------------------------------
% 0.19/0.53 % (17360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (17360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (17360)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (17360)Memory used [KB]: 5884
% 0.19/0.53 % (17360)Time elapsed: 0.125 s
% 0.19/0.53 % (17360)Instructions burned: 24 (million)
% 0.19/0.53 % (17360)------------------------------
% 0.19/0.53 % (17360)------------------------------
% 0.19/0.53 % (17358)Success in time 0.192 s
%------------------------------------------------------------------------------