TSTP Solution File: GRP600-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP600-1 : 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 16:16:38 EDT 2022
% Result : Unsatisfiable 1.58s 0.58s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f436,plain,
$false,
inference(trivial_inequality_removal,[],[f383]) ).
fof(f383,plain,
inverse(double_divide(a,b)) != inverse(double_divide(a,b)),
inference(backward_demodulation,[],[f4,f329]) ).
fof(f329,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[],[f287,f258]) ).
fof(f258,plain,
! [X5] : inverse(inverse(X5)) = X5,
inference(superposition,[],[f173,f100]) ).
fof(f100,plain,
! [X18,X19] : double_divide(inverse(X19),inverse(double_divide(X18,inverse(X18)))) = X19,
inference(superposition,[],[f77,f37]) ).
fof(f37,plain,
! [X2,X3] : double_divide(X3,inverse(double_divide(inverse(X2),inverse(X3)))) = X2,
inference(superposition,[],[f15,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f15,plain,
! [X2,X3,X0,X1] : double_divide(X3,inverse(double_divide(double_divide(double_divide(X1,X2),inverse(double_divide(X1,inverse(double_divide(inverse(inverse(X0)),X2))))),inverse(X3)))) = X0,
inference(superposition,[],[f5,f5]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : double_divide(X2,inverse(double_divide(double_divide(X0,X1),inverse(double_divide(inverse(X3),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1))))))))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f77,plain,
! [X3,X4] : double_divide(double_divide(X3,inverse(X3)),inverse(X4)) = X4,
inference(superposition,[],[f1,f37]) ).
fof(f173,plain,
! [X26,X27] : double_divide(X27,inverse(double_divide(inverse(X27),inverse(X26)))) = X26,
inference(superposition,[],[f148,f37]) ).
fof(f148,plain,
! [X12,X13] : double_divide(double_divide(X12,inverse(X13)),inverse(X13)) = X12,
inference(backward_demodulation,[],[f75,f140]) ).
fof(f140,plain,
! [X4,X5] : double_divide(inverse(X4),inverse(inverse(X5))) = double_divide(X5,inverse(X4)),
inference(superposition,[],[f6,f75]) ).
fof(f6,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(inverse(X0),X1),inverse(double_divide(inverse(X2),X1))),inverse(X2)) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f75,plain,
! [X12,X13] : double_divide(double_divide(inverse(X13),inverse(inverse(X12))),inverse(X13)) = X12,
inference(superposition,[],[f37,f37]) ).
fof(f287,plain,
! [X4,X5] : double_divide(inverse(X4),X5) = double_divide(X5,inverse(X4)),
inference(backward_demodulation,[],[f140,f258]) ).
fof(f4,plain,
inverse(double_divide(a,b)) != inverse(double_divide(b,a)),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP600-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : n022.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 22:35:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.42/0.53 % (23656)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)
% 1.42/0.53 % (23648)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)
% 1.42/0.54 % (23643)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)
% 1.42/0.54 % (23640)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.58/0.55 % (23633)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 1.58/0.55 % (23652)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)
% 1.58/0.55 % (23639)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)
% 1.58/0.55 % (23646)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)
% 1.58/0.55 % (23661)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)
% 1.58/0.55 % (23635)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)
% 1.58/0.56 % (23636)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)
% 1.58/0.56 % (23654)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)
% 1.58/0.56 % (23639)Instruction limit reached!
% 1.58/0.56 % (23639)------------------------------
% 1.58/0.56 % (23639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56 % (23639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56 % (23639)Termination reason: Unknown
% 1.58/0.56 % (23639)Termination phase: Saturation
% 1.58/0.56
% 1.58/0.56 % (23639)Memory used [KB]: 5628
% 1.58/0.56 % (23639)Time elapsed: 0.150 s
% 1.58/0.56 % (23639)Instructions burned: 8 (million)
% 1.58/0.56 % (23639)------------------------------
% 1.58/0.56 % (23639)------------------------------
% 1.58/0.56 % (23647)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)
% 1.58/0.56 % (23636)Instruction limit reached!
% 1.58/0.56 % (23636)------------------------------
% 1.58/0.56 % (23636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.56 % (23636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.56 % (23662)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)
% 1.58/0.56 % (23636)Termination reason: Unknown
% 1.58/0.56 % (23636)Termination phase: Saturation
% 1.58/0.56
% 1.58/0.56 % (23636)Memory used [KB]: 5500
% 1.58/0.56 % (23636)Time elapsed: 0.154 s
% 1.58/0.56 % (23636)Instructions burned: 6 (million)
% 1.58/0.56 % (23636)------------------------------
% 1.58/0.56 % (23636)------------------------------
% 1.58/0.56 % (23638)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)
% 1.58/0.56 % (23637)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)
% 1.58/0.56 % (23641)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)
% 1.58/0.57 % (23634)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)
% 1.58/0.57 % (23657)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)
% 1.58/0.57 % (23644)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)
% 1.58/0.57 % (23651)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)
% 1.58/0.57 % (23660)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)
% 1.58/0.57 % (23642)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)
% 1.58/0.57 % (23655)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)
% 1.58/0.57 % (23649)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)
% 1.58/0.58 % (23653)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 1.58/0.58 % (23658)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)
% 1.58/0.58 % (23659)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)
% 1.58/0.58 % (23656)First to succeed.
% 1.58/0.58 % (23656)Refutation found. Thanks to Tanya!
% 1.58/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.58/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.58 % (23656)------------------------------
% 1.58/0.58 % (23656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.58 % (23656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.58 % (23656)Termination reason: Refutation
% 1.58/0.58
% 1.58/0.58 % (23656)Memory used [KB]: 6012
% 1.58/0.58 % (23656)Time elapsed: 0.116 s
% 1.58/0.58 % (23656)Instructions burned: 28 (million)
% 1.58/0.58 % (23656)------------------------------
% 1.58/0.58 % (23656)------------------------------
% 1.58/0.58 % (23632)Success in time 0.233 s
%------------------------------------------------------------------------------