TSTP Solution File: BOO009-2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : BOO009-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : n019.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 15:49:21 EDT 2022
% Result : Unsatisfiable 1.80s 0.63s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 40 ( 40 unt; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 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 : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f499,plain,
$false,
inference(subsumption_resolution,[],[f483,f284]) ).
fof(f284,plain,
! [X2,X1] : add(multiply(X2,X1),X2) = X2,
inference(superposition,[],[f272,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f272,plain,
! [X16,X15] : add(multiply(X15,X16),X16) = X16,
inference(forward_demodulation,[],[f252,f12]) ).
fof(f12,axiom,
! [X0] : multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id2) ).
fof(f252,plain,
! [X16,X15] : multiply(multiplicative_identity,X16) = add(multiply(X15,X16),multiply(multiplicative_identity,X16)),
inference(superposition,[],[f5,f201]) ).
fof(f201,plain,
! [X1] : multiplicative_identity = add(X1,multiplicative_identity),
inference(forward_demodulation,[],[f180,f7]) ).
fof(f7,axiom,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f180,plain,
! [X1] : add(X1,multiplicative_identity) = add(X1,inverse(X1)),
inference(superposition,[],[f168,f11]) ).
fof(f11,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id1) ).
fof(f168,plain,
! [X0,X1] : add(X0,X1) = add(X0,multiply(inverse(X0),X1)),
inference(forward_demodulation,[],[f135,f12]) ).
fof(f135,plain,
! [X0,X1] : multiply(multiplicative_identity,add(X0,X1)) = add(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f4,f7]) ).
fof(f4,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
fof(f5,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity3) ).
fof(f483,plain,
a != add(multiply(a,b),a),
inference(backward_demodulation,[],[f360,f472]) ).
fof(f472,plain,
! [X9] : multiply(X9,X9) = X9,
inference(forward_demodulation,[],[f471,f28]) ).
fof(f28,plain,
! [X0] : add(X0,inverse(multiplicative_identity)) = X0,
inference(backward_demodulation,[],[f13,f23]) ).
fof(f23,plain,
additive_identity = inverse(multiplicative_identity),
inference(superposition,[],[f9,f12]) ).
fof(f9,axiom,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f13,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id1) ).
fof(f471,plain,
! [X9] : add(multiply(X9,X9),inverse(multiplicative_identity)) = X9,
inference(forward_demodulation,[],[f465,f200]) ).
fof(f200,plain,
! [X6] : inverse(inverse(X6)) = X6,
inference(forward_demodulation,[],[f199,f28]) ).
fof(f199,plain,
! [X6] : add(X6,inverse(multiplicative_identity)) = inverse(inverse(X6)),
inference(forward_demodulation,[],[f183,f102]) ).
fof(f102,plain,
! [X5] : add(X5,inverse(inverse(X5))) = inverse(inverse(X5)),
inference(forward_demodulation,[],[f84,f27]) ).
fof(f27,plain,
! [X0] : add(inverse(multiplicative_identity),X0) = X0,
inference(backward_demodulation,[],[f14,f23]) ).
fof(f14,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id2) ).
fof(f84,plain,
! [X5] : add(inverse(multiplicative_identity),inverse(inverse(X5))) = add(X5,inverse(inverse(X5))),
inference(superposition,[],[f74,f25]) ).
fof(f25,plain,
! [X0] : multiply(X0,inverse(X0)) = inverse(multiplicative_identity),
inference(backward_demodulation,[],[f9,f23]) ).
fof(f74,plain,
! [X0,X1] : add(multiply(X1,X0),inverse(X0)) = add(X1,inverse(X0)),
inference(forward_demodulation,[],[f65,f11]) ).
fof(f65,plain,
! [X0,X1] : multiply(add(X1,inverse(X0)),multiplicative_identity) = add(multiply(X1,X0),inverse(X0)),
inference(superposition,[],[f3,f7]) ).
fof(f3,axiom,
! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f183,plain,
! [X6] : add(X6,inverse(multiplicative_identity)) = add(X6,inverse(inverse(X6))),
inference(superposition,[],[f168,f25]) ).
fof(f465,plain,
! [X9] : add(multiply(X9,inverse(inverse(X9))),inverse(multiplicative_identity)) = inverse(inverse(X9)),
inference(superposition,[],[f268,f25]) ).
fof(f268,plain,
! [X11,X12] : add(multiply(X11,X12),multiply(inverse(X11),X12)) = X12,
inference(forward_demodulation,[],[f250,f12]) ).
fof(f250,plain,
! [X11,X12] : add(multiply(X11,X12),multiply(inverse(X11),X12)) = multiply(multiplicative_identity,X12),
inference(superposition,[],[f5,f7]) ).
fof(f360,plain,
a != add(multiply(a,b),multiply(a,a)),
inference(backward_demodulation,[],[f37,f6]) ).
fof(f6,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity4) ).
fof(f37,plain,
a != multiply(a,add(b,a)),
inference(backward_demodulation,[],[f15,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f15,axiom,
a != multiply(a,add(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_operation) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO009-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 16:08:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.55 % (32679)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)
% 0.21/0.55 % (32681)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)
% 0.21/0.55 % (32679)Instruction limit reached!
% 0.21/0.55 % (32679)------------------------------
% 0.21/0.55 % (32679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (32695)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)
% 0.21/0.55 % (32687)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)
% 0.21/0.55 % (32679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (32679)Termination reason: Unknown
% 0.21/0.55 % (32679)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (32679)Memory used [KB]: 5500
% 0.21/0.55 % (32679)Time elapsed: 0.121 s
% 0.21/0.55 % (32679)Instructions burned: 7 (million)
% 0.21/0.55 % (32679)------------------------------
% 0.21/0.55 % (32679)------------------------------
% 0.21/0.56 % (32697)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)
% 0.21/0.56 % (32689)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)
% 0.21/0.57 % (32696)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)
% 1.53/0.57 % (32680)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.53/0.58 % (32688)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)
% 1.80/0.60 % (32675)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)
% 1.80/0.60 % (32676)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)
% 1.80/0.61 % (32677)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)
% 1.80/0.61 % (32690)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)
% 1.80/0.61 % (32691)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)
% 1.80/0.62 % (32692)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)
% 1.80/0.62 % (32681)Instruction limit reached!
% 1.80/0.62 % (32681)------------------------------
% 1.80/0.62 % (32681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.62 % (32701)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)
% 1.80/0.62 % (32682)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)
% 1.80/0.62 % (32685)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)
% 1.80/0.62 % (32681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.62 % (32681)Termination reason: Unknown
% 1.80/0.62 % (32681)Termination phase: Saturation
% 1.80/0.62
% 1.80/0.62 % (32681)Memory used [KB]: 10874
% 1.80/0.62 % (32681)Time elapsed: 0.173 s
% 1.80/0.62 % (32681)Instructions burned: 37 (million)
% 1.80/0.62 % (32681)------------------------------
% 1.80/0.62 % (32681)------------------------------
% 1.80/0.62 % (32684)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)
% 1.80/0.62 % (32680)Instruction limit reached!
% 1.80/0.62 % (32680)------------------------------
% 1.80/0.62 % (32680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.63 % (32688)First to succeed.
% 1.80/0.63 % (32676)Instruction limit reached!
% 1.80/0.63 % (32676)------------------------------
% 1.80/0.63 % (32676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.63 % (32676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.63 % (32676)Termination reason: Unknown
% 1.80/0.63 % (32676)Termination phase: Saturation
% 1.80/0.63
% 1.80/0.63 % (32676)Memory used [KB]: 5500
% 1.80/0.63 % (32676)Time elapsed: 0.168 s
% 1.80/0.63 % (32676)Instructions burned: 6 (million)
% 1.80/0.63 % (32676)------------------------------
% 1.80/0.63 % (32676)------------------------------
% 1.80/0.63 % (32693)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 1.80/0.63 % (32674)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)
% 1.80/0.63 % (32699)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)
% 1.80/0.63 % (32700)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)
% 1.80/0.63 % (32698)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)
% 1.80/0.63 % (32689)Also succeeded, but the first one will report.
% 1.80/0.63 % (32688)Refutation found. Thanks to Tanya!
% 1.80/0.63 % SZS status Unsatisfiable for theBenchmark
% 1.80/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.80/0.63 % (32688)------------------------------
% 1.80/0.63 % (32688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.63 % (32688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.63 % (32688)Termination reason: Refutation
% 1.80/0.63
% 1.80/0.63 % (32688)Memory used [KB]: 5756
% 1.80/0.63 % (32688)Time elapsed: 0.183 s
% 1.80/0.63 % (32688)Instructions burned: 21 (million)
% 1.80/0.63 % (32688)------------------------------
% 1.80/0.63 % (32688)------------------------------
% 1.80/0.63 % (32672)Success in time 0.276 s
%------------------------------------------------------------------------------