TSTP Solution File: GRP548-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP548-1 : 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 : n002.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 16:16:30 EDT 2022
% Result : Unsatisfiable 1.68s 0.60s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 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 : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f184,plain,
$false,
inference(subsumption_resolution,[],[f183,f11]) ).
fof(f11,plain,
sF3 != sF1,
inference(definition_folding,[],[f6,f10,f9,f8,f7]) ).
fof(f7,plain,
divide(identity,b) = sF0,
introduced(function_definition,[]) ).
fof(f8,plain,
divide(a,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f9,plain,
sF2 = divide(identity,a),
introduced(function_definition,[]) ).
fof(f10,plain,
sF3 = divide(b,sF2),
introduced(function_definition,[]) ).
fof(f6,plain,
divide(a,divide(identity,b)) != divide(b,divide(identity,a)),
inference(definition_unfolding,[],[f5,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
fof(f183,plain,
sF3 = sF1,
inference(forward_demodulation,[],[f182,f10]) ).
fof(f182,plain,
divide(b,sF2) = sF1,
inference(forward_demodulation,[],[f175,f73]) ).
fof(f73,plain,
sF2 = divide(sF2,identity),
inference(forward_demodulation,[],[f69,f9]) ).
fof(f69,plain,
divide(sF2,identity) = divide(identity,a),
inference(superposition,[],[f27,f29]) ).
fof(f29,plain,
a = divide(identity,divide(sF2,identity)),
inference(superposition,[],[f26,f9]) ).
fof(f26,plain,
! [X0,X1] : divide(identity,divide(divide(X0,X1),X0)) = X1,
inference(forward_demodulation,[],[f12,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f12,plain,
! [X0,X1] : divide(divide(identity,identity),divide(divide(X0,X1),X0)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(X0,X1)),divide(divide(X1,X2),X0)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f27,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(superposition,[],[f26,f4]) ).
fof(f175,plain,
sF1 = divide(b,divide(sF2,identity)),
inference(superposition,[],[f148,f145]) ).
fof(f145,plain,
sF2 = divide(b,sF1),
inference(forward_demodulation,[],[f140,f9]) ).
fof(f140,plain,
divide(identity,a) = divide(b,sF1),
inference(superposition,[],[f27,f91]) ).
fof(f91,plain,
a = divide(identity,divide(b,sF1)),
inference(superposition,[],[f26,f87]) ).
fof(f87,plain,
b = divide(sF1,a),
inference(forward_demodulation,[],[f86,f37]) ).
fof(f37,plain,
b = divide(identity,sF0),
inference(superposition,[],[f27,f7]) ).
fof(f86,plain,
divide(sF1,a) = divide(identity,sF0),
inference(forward_demodulation,[],[f83,f61]) ).
fof(f61,plain,
divide(sF0,identity) = sF0,
inference(forward_demodulation,[],[f56,f7]) ).
fof(f56,plain,
divide(sF0,identity) = divide(identity,b),
inference(superposition,[],[f27,f28]) ).
fof(f28,plain,
b = divide(identity,divide(sF0,identity)),
inference(superposition,[],[f26,f7]) ).
fof(f83,plain,
divide(identity,divide(sF0,identity)) = divide(sF1,a),
inference(superposition,[],[f26,f32]) ).
fof(f32,plain,
divide(identity,divide(sF1,a)) = sF0,
inference(superposition,[],[f26,f8]) ).
fof(f148,plain,
! [X2] : divide(b,divide(divide(b,X2),identity)) = X2,
inference(forward_demodulation,[],[f13,f37]) ).
fof(f13,plain,
! [X2] : divide(divide(identity,sF0),divide(divide(b,X2),identity)) = X2,
inference(superposition,[],[f1,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP548-1 : 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 : n002.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 22:45:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.54 % (5350)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)
% 1.46/0.55 % (5344)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)
% 1.46/0.56 % (5351)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)
% 1.46/0.56 % (5342)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 1.68/0.57 % (5368)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)
% 1.68/0.58 % (5360)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)
% 1.68/0.58 % (5345)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)
% 1.68/0.59 % (5343)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)
% 1.68/0.59 % (5342)First to succeed.
% 1.68/0.59 % (5360)Also succeeded, but the first one will report.
% 1.68/0.59 % (5343)Instruction limit reached!
% 1.68/0.59 % (5343)------------------------------
% 1.68/0.59 % (5343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.59 % (5359)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)
% 1.68/0.59 % (5343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.59 % (5343)Termination reason: Unknown
% 1.68/0.59 % (5343)Termination phase: Saturation
% 1.68/0.59
% 1.68/0.59 % (5343)Memory used [KB]: 5628
% 1.68/0.59 % (5343)Time elapsed: 0.168 s
% 1.68/0.59 % (5343)Instructions burned: 10 (million)
% 1.68/0.59 % (5343)------------------------------
% 1.68/0.59 % (5343)------------------------------
% 1.68/0.60 % (5348)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)
% 1.68/0.60 % (5358)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)
% 1.68/0.60 % (5342)Refutation found. Thanks to Tanya!
% 1.68/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.68/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.68/0.60 % (5342)------------------------------
% 1.68/0.60 % (5342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.60 % (5342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.60 % (5342)Termination reason: Refutation
% 1.68/0.60
% 1.68/0.60 % (5342)Memory used [KB]: 5500
% 1.68/0.60 % (5342)Time elapsed: 0.170 s
% 1.68/0.60 % (5342)Instructions burned: 9 (million)
% 1.68/0.60 % (5342)------------------------------
% 1.68/0.60 % (5342)------------------------------
% 1.68/0.60 % (5341)Success in time 0.251 s
%------------------------------------------------------------------------------