TSTP Solution File: GRP528-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP528-1 : 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 : n021.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 16:16:27 EDT 2022
% Result : Unsatisfiable 1.52s 0.55s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 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 : 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 : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f346,plain,
$false,
inference(subsumption_resolution,[],[f345,f7]) ).
fof(f7,plain,
sF1 != sF0,
inference(definition_folding,[],[f4,f6,f5]) ).
fof(f5,plain,
multiply(a,b) = sF0,
introduced(function_definition,[]) ).
fof(f6,plain,
multiply(b,a) = sF1,
introduced(function_definition,[]) ).
fof(f4,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
fof(f345,plain,
sF1 = sF0,
inference(forward_demodulation,[],[f344,f6]) ).
fof(f344,plain,
multiply(b,a) = sF0,
inference(superposition,[],[f287,f325]) ).
fof(f325,plain,
b = divide(sF0,a),
inference(superposition,[],[f310,f5]) ).
fof(f310,plain,
! [X14,X15] : divide(multiply(X14,X15),X14) = X15,
inference(forward_demodulation,[],[f301,f84]) ).
fof(f84,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(superposition,[],[f71,f3]) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f71,plain,
! [X2,X1] : divide(divide(X1,X2),inverse(X2)) = X1,
inference(superposition,[],[f1,f64]) ).
fof(f64,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X0),X1),
inference(superposition,[],[f26,f35]) ).
fof(f35,plain,
! [X4,X5] : inverse(divide(inverse(X4),divide(X5,X4))) = X5,
inference(forward_demodulation,[],[f27,f3]) ).
fof(f27,plain,
! [X3,X4,X5] : inverse(divide(divide(divide(X3,X3),X4),divide(X5,X4))) = X5,
inference(superposition,[],[f1,f3]) ).
fof(f26,plain,
! [X3,X4] : divide(X3,inverse(divide(X4,X3))) = X4,
inference(superposition,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(X0,X1),divide(X2,X1))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f301,plain,
! [X14,X15] : divide(multiply(X14,X15),X14) = inverse(inverse(X15)),
inference(superposition,[],[f64,f286]) ).
fof(f286,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
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(f287,plain,
! [X2,X1] : multiply(divide(X1,X2),X2) = X1,
inference(backward_demodulation,[],[f71,f286]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP528-1 : 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
% 0.13/0.34 % Computer : n021.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 22:28:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (30413)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)
% 0.20/0.49 % (30406)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 % (30409)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 % (30410)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)
% 0.20/0.51 % (30426)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.51 % (30421)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)
% 0.20/0.52 % (30434)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 % (30405)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.52 % (30412)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 % (30417)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)
% 0.20/0.53 % (30408)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)
% 1.38/0.53 % (30430)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)
% 1.38/0.53 % (30423)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)
% 1.38/0.53 % (30408)Instruction limit reached!
% 1.38/0.53 % (30408)------------------------------
% 1.38/0.53 % (30408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.53 % (30408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.53 % (30408)Termination reason: Unknown
% 1.38/0.53 % (30408)Termination phase: Saturation
% 1.38/0.53
% 1.38/0.53 % (30408)Memory used [KB]: 5500
% 1.38/0.53 % (30408)Time elapsed: 0.118 s
% 1.38/0.53 % (30408)Instructions burned: 6 (million)
% 1.38/0.53 % (30408)------------------------------
% 1.38/0.53 % (30408)------------------------------
% 1.38/0.53 % (30407)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)
% 1.38/0.53 % (30435)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)
% 1.38/0.53 % (30428)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)
% 1.38/0.53 % (30406)Instruction limit reached!
% 1.38/0.53 % (30406)------------------------------
% 1.38/0.53 % (30406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.53 % (30411)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)
% 1.38/0.53 % (30414)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)
% 1.38/0.53 % (30429)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)
% 1.38/0.53 % (30411)Instruction limit reached!
% 1.38/0.53 % (30411)------------------------------
% 1.38/0.53 % (30411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.53 % (30411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.53 % (30411)Termination reason: Unknown
% 1.38/0.53 % (30411)Termination phase: Saturation
% 1.38/0.53
% 1.38/0.53 % (30411)Memory used [KB]: 5500
% 1.38/0.53 % (30411)Time elapsed: 0.129 s
% 1.38/0.53 % (30411)Instructions burned: 8 (million)
% 1.38/0.53 % (30411)------------------------------
% 1.38/0.53 % (30411)------------------------------
% 1.38/0.54 % (30406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54 % (30406)Termination reason: Unknown
% 1.38/0.54 % (30406)Termination phase: Saturation
% 1.38/0.54
% 1.38/0.54 % (30406)Memory used [KB]: 5628
% 1.38/0.54 % (30406)Time elapsed: 0.109 s
% 1.38/0.54 % (30406)Instructions burned: 10 (million)
% 1.38/0.54 % (30406)------------------------------
% 1.38/0.54 % (30406)------------------------------
% 1.38/0.54 % (30405)First to succeed.
% 1.38/0.54 % (30425)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)
% 1.38/0.54 % (30427)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)
% 1.38/0.54 % (30422)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)
% 1.38/0.54 % (30433)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)
% 1.38/0.54 % (30432)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)
% 1.38/0.54 % (30420)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)
% 1.38/0.54 % (30415)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)
% 1.38/0.54 % (30413)Instruction limit reached!
% 1.38/0.54 % (30413)------------------------------
% 1.38/0.54 % (30413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (30419)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)
% 1.52/0.55 % (30418)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)
% 1.52/0.55 % (30424)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)
% 1.52/0.55 % (30405)Refutation found. Thanks to Tanya!
% 1.52/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.52/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.55 % (30405)------------------------------
% 1.52/0.55 % (30405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (30405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (30405)Termination reason: Refutation
% 1.52/0.55
% 1.52/0.55 % (30405)Memory used [KB]: 5628
% 1.52/0.55 % (30405)Time elapsed: 0.121 s
% 1.52/0.55 % (30405)Instructions burned: 14 (million)
% 1.52/0.55 % (30405)------------------------------
% 1.52/0.55 % (30405)------------------------------
% 1.52/0.55 % (30402)Success in time 0.196 s
%------------------------------------------------------------------------------