TSTP Solution File: BOO012-4 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : BOO012-4 : TPTP v8.1.0. Released v1.1.0.
% 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 : n012.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 15:49:23 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 37 unt; 0 def)
% Number of atoms : 37 ( 36 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 : 4 ( 1 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 : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f333,plain,
$false,
inference(subsumption_resolution,[],[f332,f12]) ).
fof(f12,plain,
x != sF1,
inference(definition_folding,[],[f9,f11,f10]) ).
fof(f10,plain,
inverse(x) = sF0,
introduced(function_definition,[]) ).
fof(f11,plain,
inverse(sF0) = sF1,
introduced(function_definition,[]) ).
fof(f9,axiom,
x != inverse(inverse(x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_is_an_involution) ).
fof(f332,plain,
x = sF1,
inference(forward_demodulation,[],[f327,f80]) ).
fof(f80,plain,
x = add(x,sF1),
inference(forward_demodulation,[],[f79,f5]) ).
fof(f5,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id1) ).
fof(f79,plain,
add(x,sF1) = add(x,additive_identity),
inference(forward_demodulation,[],[f73,f11]) ).
fof(f73,plain,
add(x,additive_identity) = add(x,inverse(sF0)),
inference(superposition,[],[f60,f8]) ).
fof(f8,axiom,
! [X0] : additive_identity = multiply(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f60,plain,
! [X12] : add(x,multiply(sF0,X12)) = add(x,X12),
inference(forward_demodulation,[],[f46,f29]) ).
fof(f29,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(superposition,[],[f2,f6]) ).
fof(f6,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id1) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f46,plain,
! [X12] : multiply(multiplicative_identity,add(x,X12)) = add(x,multiply(sF0,X12)),
inference(superposition,[],[f3,f13]) ).
fof(f13,plain,
multiplicative_identity = add(x,sF0),
inference(superposition,[],[f7,f10]) ).
fof(f7,axiom,
! [X0] : multiplicative_identity = add(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f3,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f327,plain,
add(x,sF1) = sF1,
inference(superposition,[],[f287,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f287,plain,
add(sF1,x) = sF1,
inference(forward_demodulation,[],[f284,f5]) ).
fof(f284,plain,
add(sF1,x) = add(sF1,additive_identity),
inference(superposition,[],[f69,f275]) ).
fof(f275,plain,
additive_identity = multiply(x,inverse(sF1)),
inference(forward_demodulation,[],[f262,f15]) ).
fof(f15,plain,
additive_identity = multiply(x,sF0),
inference(superposition,[],[f8,f10]) ).
fof(f262,plain,
multiply(x,sF0) = multiply(x,inverse(sF1)),
inference(superposition,[],[f123,f163]) ).
fof(f163,plain,
sF0 = add(sF0,inverse(sF1)),
inference(forward_demodulation,[],[f157,f5]) ).
fof(f157,plain,
add(sF0,additive_identity) = add(sF0,inverse(sF1)),
inference(superposition,[],[f64,f8]) ).
fof(f64,plain,
! [X13] : add(sF0,multiply(sF1,X13)) = add(sF0,X13),
inference(forward_demodulation,[],[f47,f29]) ).
fof(f47,plain,
! [X13] : add(sF0,multiply(sF1,X13)) = multiply(multiplicative_identity,add(sF0,X13)),
inference(superposition,[],[f3,f14]) ).
fof(f14,plain,
multiplicative_identity = add(sF0,sF1),
inference(superposition,[],[f7,f11]) ).
fof(f123,plain,
! [X16] : multiply(x,X16) = multiply(x,add(sF0,X16)),
inference(forward_demodulation,[],[f104,f17]) ).
fof(f17,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(superposition,[],[f1,f5]) ).
fof(f104,plain,
! [X16] : add(additive_identity,multiply(x,X16)) = multiply(x,add(sF0,X16)),
inference(superposition,[],[f4,f15]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
fof(f69,plain,
! [X2,X3] : add(X2,multiply(X3,inverse(X2))) = add(X2,X3),
inference(forward_demodulation,[],[f49,f6]) ).
fof(f49,plain,
! [X2,X3] : add(X2,multiply(X3,inverse(X2))) = multiply(add(X2,X3),multiplicative_identity),
inference(superposition,[],[f3,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO012-4 : TPTP v8.1.0. Released v1.1.0.
% 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
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 16:05:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (20650)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.19/0.49 % (20669)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)
% 0.19/0.50 % (20650)First to succeed.
% 0.19/0.50 % (20660)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)
% 0.19/0.50 % (20658)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)
% 0.19/0.50 % (20656)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)
% 0.19/0.50 % (20663)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)
% 0.19/0.51 % (20651)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)
% 0.19/0.51 % (20651)Instruction limit reached!
% 0.19/0.51 % (20651)------------------------------
% 0.19/0.51 % (20651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (20661)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)
% 0.19/0.51 % (20652)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)
% 0.19/0.51 % (20665)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)
% 0.19/0.52 % (20659)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)
% 0.19/0.52 % (20670)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)
% 0.19/0.52 % (20653)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)
% 0.19/0.52 % (20651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (20651)Termination reason: Unknown
% 0.19/0.52 % (20651)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (20651)Memory used [KB]: 5628
% 0.19/0.52 % (20651)Time elapsed: 0.107 s
% 0.19/0.52 % (20651)Instructions burned: 10 (million)
% 0.19/0.52 % (20651)------------------------------
% 0.19/0.52 % (20651)------------------------------
% 0.19/0.52 % (20653)Instruction limit reached!
% 0.19/0.52 % (20653)------------------------------
% 0.19/0.52 % (20653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (20653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (20653)Termination reason: Unknown
% 0.19/0.52 % (20653)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (20653)Memory used [KB]: 5628
% 0.19/0.52 % (20653)Time elapsed: 0.120 s
% 0.19/0.52 % (20653)Instructions burned: 7 (million)
% 0.19/0.52 % (20653)------------------------------
% 0.19/0.52 % (20653)------------------------------
% 0.19/0.52 % (20668)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)
% 0.19/0.52 % (20654)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)
% 0.19/0.52 % (20655)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)
% 0.19/0.52 % (20680)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)
% 0.19/0.52 % (20650)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (20650)------------------------------
% 0.19/0.52 % (20650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (20650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (20650)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (20650)Memory used [KB]: 5628
% 0.19/0.52 % (20650)Time elapsed: 0.106 s
% 0.19/0.52 % (20650)Instructions burned: 15 (million)
% 0.19/0.52 % (20650)------------------------------
% 0.19/0.52 % (20650)------------------------------
% 0.19/0.52 % (20647)Success in time 0.178 s
%------------------------------------------------------------------------------