TSTP Solution File: LCL154-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL154-1 : 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 : n024.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 17:39:06 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 41 unt; 0 def)
% Number of atoms : 41 ( 40 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f313,plain,
$false,
inference(subsumption_resolution,[],[f312,f170]) ).
fof(f170,plain,
! [X1] : implies(not(X1),falsehood) = X1,
inference(superposition,[],[f111,f23]) ).
fof(f23,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(definition_unfolding,[],[f7,f5,f5]) ).
fof(f5,axiom,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_definition) ).
fof(f7,axiom,
! [X0,X1] : or(X0,X1) = or(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_commutativity) ).
fof(f111,plain,
! [X0] : implies(not(falsehood),X0) = X0,
inference(backward_demodulation,[],[f1,f110]) ).
fof(f110,plain,
truth = not(falsehood),
inference(forward_demodulation,[],[f97,f1]) ).
fof(f97,plain,
truth = implies(truth,not(falsehood)),
inference(superposition,[],[f87,f87]) ).
fof(f87,plain,
! [X0] : truth = implies(implies(X0,not(falsehood)),not(falsehood)),
inference(forward_demodulation,[],[f86,f16]) ).
fof(f16,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_definition) ).
fof(f86,plain,
! [X0] : truth = implies(implies(X0,not(not(truth))),not(not(truth))),
inference(forward_demodulation,[],[f76,f47]) ).
fof(f47,plain,
! [X3,X4] : implies(implies(not(X4),X3),X4) = implies(implies(X4,not(X3)),not(X3)),
inference(superposition,[],[f3,f23]) ).
fof(f3,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f76,plain,
! [X0] : truth = implies(implies(not(X0),not(truth)),X0),
inference(superposition,[],[f4,f1]) ).
fof(f4,axiom,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_4) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f312,plain,
x != implies(not(x),falsehood),
inference(forward_demodulation,[],[f310,f185]) ).
fof(f185,plain,
! [X3] : implies(implies(falsehood,not(X3)),not(X3)) = implies(X3,falsehood),
inference(superposition,[],[f3,f170]) ).
fof(f310,plain,
x != implies(implies(falsehood,not(not(x))),not(not(x))),
inference(backward_demodulation,[],[f175,f301]) ).
fof(f301,plain,
! [X11] : not(not(X11)) = X11,
inference(forward_demodulation,[],[f299,f111]) ).
fof(f299,plain,
! [X11] : implies(not(falsehood),not(not(X11))) = X11,
inference(backward_demodulation,[],[f295,f298]) ).
fof(f298,plain,
! [X2] : implies(X2,not(not(X2))) = not(falsehood),
inference(forward_demodulation,[],[f287,f111]) ).
fof(f287,plain,
! [X2] : not(falsehood) = implies(not(falsehood),implies(X2,not(not(X2)))),
inference(superposition,[],[f113,f227]) ).
fof(f227,plain,
! [X12] : implies(not(not(X12)),X12) = not(falsehood),
inference(forward_demodulation,[],[f214,f111]) ).
fof(f214,plain,
! [X12] : not(falsehood) = implies(implies(not(falsehood),not(not(X12))),X12),
inference(superposition,[],[f113,f170]) ).
fof(f113,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = not(falsehood),
inference(backward_demodulation,[],[f4,f110]) ).
fof(f295,plain,
! [X11] : implies(implies(X11,not(not(X11))),not(not(X11))) = X11,
inference(forward_demodulation,[],[f293,f111]) ).
fof(f293,plain,
! [X11] : implies(not(falsehood),X11) = implies(implies(X11,not(not(X11))),not(not(X11))),
inference(superposition,[],[f3,f227]) ).
fof(f175,plain,
x != implies(not(not(implies(falsehood,not(not(x))))),not(not(x))),
inference(backward_demodulation,[],[f166,f170]) ).
fof(f166,plain,
x != implies(not(not(implies(falsehood,not(not(x))))),not(implies(not(not(x)),falsehood))),
inference(superposition,[],[f138,f23]) ).
fof(f138,plain,
x != implies(not(not(implies(not(not(x)),falsehood))),not(implies(falsehood,not(not(x))))),
inference(backward_demodulation,[],[f130,f114]) ).
fof(f114,plain,
falsehood = not(not(falsehood)),
inference(backward_demodulation,[],[f16,f110]) ).
fof(f130,plain,
x != implies(not(not(implies(not(not(x)),not(not(falsehood))))),not(implies(falsehood,not(not(x))))),
inference(backward_demodulation,[],[f28,f115]) ).
fof(f115,plain,
! [X0] : implies(not(X0),not(falsehood)) = implies(falsehood,X0),
inference(backward_demodulation,[],[f29,f110]) ).
fof(f29,plain,
! [X0] : implies(not(X0),truth) = implies(falsehood,X0),
inference(superposition,[],[f23,f16]) ).
fof(f28,plain,
x != implies(not(not(implies(not(not(x)),not(not(falsehood))))),not(implies(not(not(not(x))),not(falsehood)))),
inference(definition_unfolding,[],[f17,f19]) ).
fof(f19,plain,
! [X0,X1] : xor(X0,X1) = implies(not(not(implies(not(not(X0)),not(not(X1))))),not(implies(not(not(not(X0))),not(X1)))),
inference(definition_unfolding,[],[f11,f5,f18,f18]) ).
fof(f18,plain,
! [X0,X1] : and(X0,X1) = not(implies(not(not(X0)),not(X1))),
inference(definition_unfolding,[],[f8,f5]) ).
fof(f8,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_definition) ).
fof(f11,axiom,
! [X0,X1] : xor(X0,X1) = or(and(X0,not(X1)),and(not(X0),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_definition) ).
fof(f17,axiom,
x != xor(x,falsehood),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL154-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 : Tue Aug 30 01:41:34 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.45 % (21947)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)
% 0.20/0.48 % (21969)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)
% 0.20/0.48 % (21961)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)
% 0.20/0.49 % (21955)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)
% 0.20/0.50 % (21967)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)
% 0.20/0.51 % (21949)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 % (21944)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.51 % (21959)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)
% 0.20/0.51 % (21950)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)
% 0.20/0.52 % (21949)First to succeed.
% 0.20/0.53 % (21945)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 % (21950)Instruction limit reached!
% 0.20/0.53 % (21950)------------------------------
% 0.20/0.53 % (21950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (21972)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)
% 0.20/0.53 % (21974)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)
% 0.20/0.53 % (21945)Instruction limit reached!
% 0.20/0.53 % (21945)------------------------------
% 0.20/0.53 % (21945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (21945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (21945)Termination reason: Unknown
% 0.20/0.53 % (21945)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (21945)Memory used [KB]: 5628
% 0.20/0.53 % (21945)Time elapsed: 0.126 s
% 0.20/0.53 % (21945)Instructions burned: 10 (million)
% 0.20/0.53 % (21945)------------------------------
% 0.20/0.53 % (21945)------------------------------
% 0.20/0.53 % (21970)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)
% 0.20/0.53 % (21957)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 % (21948)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)
% 0.20/0.53 % (21947)Instruction limit reached!
% 0.20/0.53 % (21947)------------------------------
% 0.20/0.53 % (21947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (21947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (21947)Termination reason: Unknown
% 0.20/0.53 % (21947)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (21947)Memory used [KB]: 6524
% 0.20/0.53 % (21947)Time elapsed: 0.124 s
% 0.20/0.53 % (21947)Instructions burned: 38 (million)
% 0.20/0.53 % (21947)------------------------------
% 0.20/0.53 % (21947)------------------------------
% 0.20/0.54 % (21975)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)
% 0.20/0.54 % (21951)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)
% 0.20/0.54 % (21949)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 % (21949)------------------------------
% 0.20/0.54 % (21949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (21949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (21949)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (21949)Memory used [KB]: 5756
% 0.20/0.54 % (21949)Time elapsed: 0.105 s
% 0.20/0.54 % (21949)Instructions burned: 15 (million)
% 0.20/0.54 % (21949)------------------------------
% 0.20/0.54 % (21949)------------------------------
% 0.20/0.54 % (21939)Success in time 0.182 s
%------------------------------------------------------------------------------