TSTP Solution File: GRP449-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP449-1 : 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 : n003.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 16:15:53 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 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 : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f418,plain,
$false,
inference(subsumption_resolution,[],[f417,f8]) ).
fof(f8,plain,
a2 != sF2,
inference(definition_folding,[],[f4,f7,f6,f5]) ).
fof(f5,plain,
inverse(b2) = sF0,
introduced(function_definition,[]) ).
fof(f6,plain,
sF1 = multiply(sF0,b2),
introduced(function_definition,[]) ).
fof(f7,plain,
multiply(sF1,a2) = sF2,
introduced(function_definition,[]) ).
fof(f4,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f417,plain,
a2 = sF2,
inference(forward_demodulation,[],[f404,f390]) ).
fof(f390,plain,
! [X0] : multiply(X0,sF1) = X0,
inference(superposition,[],[f75,f306]) ).
fof(f306,plain,
! [X10] : multiply(inverse(X10),X10) = sF1,
inference(forward_demodulation,[],[f305,f256]) ).
fof(f256,plain,
! [X0] : sF1 = inverse(multiply(inverse(X0),X0)),
inference(superposition,[],[f70,f31]) ).
fof(f31,plain,
! [X1] : inverse(X1) = divide(inverse(sF1),X1),
inference(superposition,[],[f9,f29]) ).
fof(f29,plain,
divide(sF0,sF0) = sF1,
inference(backward_demodulation,[],[f6,f19]) ).
fof(f19,plain,
! [X0] : multiply(X0,b2) = divide(X0,sF0),
inference(superposition,[],[f18,f5]) ).
fof(f18,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f3,axiom,
! [X0,X1] : divide(divide(X1,X1),X0) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f9,plain,
! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f3,f3]) ).
fof(f70,plain,
! [X8,X9] : inverse(multiply(divide(inverse(X8),X9),X9)) = X8,
inference(forward_demodulation,[],[f69,f18]) ).
fof(f69,plain,
! [X8,X9] : inverse(divide(divide(inverse(X8),X9),inverse(X9))) = X8,
inference(forward_demodulation,[],[f60,f9]) ).
fof(f60,plain,
! [X8,X9,X7] : inverse(divide(divide(inverse(X8),X9),divide(inverse(divide(X7,X7)),X9))) = X8,
inference(superposition,[],[f39,f3]) ).
fof(f39,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f38,f3]) ).
fof(f38,plain,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X1,X1),X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X1,X1),X1),X2),divide(divide(divide(X1,X1),X0),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f305,plain,
! [X10,X11] : inverse(multiply(inverse(X11),X11)) = multiply(inverse(X10),X10),
inference(forward_demodulation,[],[f287,f32]) ).
fof(f32,plain,
! [X2] : inverse(X2) = divide(sF1,X2),
inference(superposition,[],[f3,f29]) ).
fof(f287,plain,
! [X10,X11] : inverse(multiply(divide(sF1,X11),X11)) = multiply(inverse(X10),X10),
inference(superposition,[],[f70,f256]) ).
fof(f75,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X1),X0)) = X0,
inference(forward_demodulation,[],[f74,f18]) ).
fof(f74,plain,
! [X0,X1] : multiply(X1,divide(inverse(X1),inverse(X0))) = X0,
inference(forward_demodulation,[],[f57,f18]) ).
fof(f57,plain,
! [X0,X1] : divide(X1,inverse(divide(inverse(X1),inverse(X0)))) = X0,
inference(superposition,[],[f39,f3]) ).
fof(f404,plain,
multiply(a2,sF1) = sF2,
inference(superposition,[],[f390,f127]) ).
fof(f127,plain,
! [X0] : multiply(a2,X0) = multiply(sF2,X0),
inference(superposition,[],[f75,f99]) ).
fof(f99,plain,
! [X1] : multiply(inverse(a2),multiply(sF2,X1)) = X1,
inference(superposition,[],[f75,f90]) ).
fof(f90,plain,
inverse(inverse(a2)) = sF2,
inference(backward_demodulation,[],[f7,f33]) ).
fof(f33,plain,
! [X1] : inverse(inverse(X1)) = multiply(sF1,X1),
inference(superposition,[],[f32,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP449-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:29:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (29796)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)
% 0.20/0.50 % (29782)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.50 % (29788)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)
% 0.20/0.50 % (29788)Instruction limit reached!
% 0.20/0.50 % (29788)------------------------------
% 0.20/0.50 % (29788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (29788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (29788)Termination reason: Unknown
% 0.20/0.50 % (29788)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (29788)Memory used [KB]: 5628
% 0.20/0.50 % (29788)Time elapsed: 0.111 s
% 0.20/0.50 % (29788)Instructions burned: 8 (million)
% 0.20/0.50 % (29788)------------------------------
% 0.20/0.50 % (29788)------------------------------
% 0.20/0.51 % (29806)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)
% 0.20/0.51 % (29797)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)
% 0.20/0.51 % (29790)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)
% 0.20/0.51 % (29809)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 % (29795)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)
% 0.20/0.52 % (29789)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.52 % (29782)First to succeed.
% 0.20/0.52 % (29794)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)
% 0.20/0.53 % (29801)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)
% 0.20/0.53 % (29800)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)
% 0.20/0.53 % (29784)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 % (29783)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)
% 0.20/0.53 % (29787)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)
% 0.20/0.53 % (29807)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)
% 0.20/0.54 % (29782)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 % (29782)------------------------------
% 0.20/0.54 % (29782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (29782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (29782)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (29782)Memory used [KB]: 5628
% 0.20/0.54 % (29782)Time elapsed: 0.111 s
% 0.20/0.54 % (29782)Instructions burned: 16 (million)
% 0.20/0.54 % (29782)------------------------------
% 0.20/0.54 % (29782)------------------------------
% 0.20/0.54 % (29779)Success in time 0.178 s
%------------------------------------------------------------------------------