TSTP Solution File: LCL157-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL157-1 : 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 : 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 17:39:07 EDT 2022
% Result : Unsatisfiable 1.52s 0.55s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 31 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 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; 3 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f557,plain,
$false,
inference(subsumption_resolution,[],[f548,f16]) ).
fof(f16,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_definition) ).
fof(f548,plain,
not(truth) != falsehood,
inference(backward_demodulation,[],[f146,f507]) ).
fof(f507,plain,
! [X0] : truth = implies(falsehood,X0),
inference(backward_demodulation,[],[f29,f473]) ).
fof(f473,plain,
! [X4] : truth = implies(X4,truth),
inference(superposition,[],[f215,f152]) ).
fof(f152,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(backward_demodulation,[],[f35,f147]) ).
fof(f147,plain,
! [X0] : truth = implies(X0,X0),
inference(forward_demodulation,[],[f136,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f136,plain,
! [X0] : truth = implies(implies(truth,X0),X0),
inference(backward_demodulation,[],[f89,f134]) ).
fof(f134,plain,
truth = not(falsehood),
inference(forward_demodulation,[],[f130,f1]) ).
fof(f130,plain,
truth = implies(truth,not(falsehood)),
inference(superposition,[],[f89,f118]) ).
fof(f118,plain,
truth = implies(not(falsehood),not(falsehood)),
inference(superposition,[],[f89,f35]) ).
fof(f89,plain,
! [X0] : truth = implies(implies(not(falsehood),X0),X0),
inference(superposition,[],[f82,f25]) ).
fof(f25,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(f82,plain,
! [X0] : truth = implies(implies(not(X0),falsehood),X0),
inference(forward_demodulation,[],[f72,f16]) ).
fof(f72,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(f35,plain,
! [X0] : implies(X0,X0) = implies(implies(X0,truth),truth),
inference(superposition,[],[f3,f1]) ).
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(f215,plain,
! [X2,X3] : truth = implies(X3,implies(implies(X3,X2),X2)),
inference(forward_demodulation,[],[f195,f1]) ).
fof(f195,plain,
! [X2,X3] : truth = implies(implies(truth,X3),implies(implies(X3,X2),X2)),
inference(superposition,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_2) ).
fof(f29,plain,
! [X0] : implies(not(X0),truth) = implies(falsehood,X0),
inference(superposition,[],[f25,f16]) ).
fof(f146,plain,
falsehood != not(implies(falsehood,not(x))),
inference(forward_demodulation,[],[f137,f29]) ).
fof(f137,plain,
falsehood != not(implies(not(not(x)),truth)),
inference(backward_demodulation,[],[f26,f134]) ).
fof(f26,plain,
falsehood != not(implies(not(not(x)),not(falsehood))),
inference(definition_unfolding,[],[f17,f20]) ).
fof(f20,plain,
! [X0,X1] : and_star(X0,X1) = not(implies(not(not(X0)),not(X1))),
inference(definition_unfolding,[],[f13,f5]) ).
fof(f13,axiom,
! [X0,X1] : not(or(not(X0),not(X1))) = and_star(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_star_definition) ).
fof(f17,axiom,
falsehood != and_star(x,falsehood),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : LCL157-1 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 01:42:20 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.46 % (3214)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.15/0.47 % (3213)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)
% 0.15/0.47 % (3222)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)
% 0.15/0.47 % (3221)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)
% 0.15/0.47 % (3223)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)
% 0.15/0.47 % (3215)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)
% 0.15/0.48 % (3213)Instruction limit reached!
% 0.15/0.48 % (3213)------------------------------
% 0.15/0.48 % (3213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (3230)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)
% 0.15/0.48 % (3213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (3213)Termination reason: Unknown
% 0.15/0.48 % (3213)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (3213)Memory used [KB]: 5628
% 0.15/0.48 % (3213)Time elapsed: 0.105 s
% 0.15/0.48 % (3213)Instructions burned: 7 (million)
% 0.15/0.48 % (3213)------------------------------
% 0.15/0.48 % (3213)------------------------------
% 0.15/0.49 % (3231)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)
% 0.15/0.49 % (3229)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)
% 0.15/0.51 % (3218)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)
% 0.15/0.52 % (3217)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)
% 0.15/0.52 % (3212)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)
% 0.15/0.52 % (3211)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)
% 0.15/0.52 % (3210)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)
% 0.15/0.52 % (3222)First to succeed.
% 0.15/0.52 % (3209)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)
% 0.15/0.52 % (3210)Instruction limit reached!
% 0.15/0.52 % (3210)------------------------------
% 0.15/0.52 % (3210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52 % (3210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52 % (3210)Termination reason: Unknown
% 0.15/0.52 % (3210)Termination phase: Saturation
% 0.15/0.52
% 0.15/0.52 % (3210)Memory used [KB]: 5500
% 0.15/0.52 % (3210)Time elapsed: 0.152 s
% 0.15/0.52 % (3210)Instructions burned: 6 (million)
% 0.15/0.52 % (3210)------------------------------
% 0.15/0.52 % (3210)------------------------------
% 0.15/0.53 % (3236)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)
% 0.15/0.53 % (3235)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)
% 0.15/0.53 % (3214)Instruction limit reached!
% 0.15/0.53 % (3214)------------------------------
% 0.15/0.53 % (3214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53 % (3214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53 % (3214)Termination reason: Unknown
% 0.15/0.53 % (3214)Termination phase: Saturation
% 0.15/0.53
% 0.15/0.53 % (3214)Memory used [KB]: 5756
% 0.15/0.53 % (3214)Time elapsed: 0.157 s
% 0.15/0.53 % (3214)Instructions burned: 34 (million)
% 0.15/0.53 % (3214)------------------------------
% 0.15/0.53 % (3214)------------------------------
% 0.15/0.53 % (3215)Instruction limit reached!
% 0.15/0.53 % (3215)------------------------------
% 0.15/0.53 % (3215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53 % (3215)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53 % (3215)Termination reason: Unknown
% 0.15/0.53 % (3215)Termination phase: Saturation
% 0.15/0.53
% 0.15/0.53 % (3215)Memory used [KB]: 10746
% 0.15/0.53 % (3215)Time elapsed: 0.155 s
% 0.15/0.53 % (3215)Instructions burned: 38 (million)
% 0.15/0.53 % (3215)------------------------------
% 0.15/0.53 % (3215)------------------------------
% 0.15/0.53 % (3233)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)
% 0.15/0.53 % (3226)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)
% 0.15/0.54 % (3220)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)
% 0.15/0.54 % (3219)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)
% 0.15/0.54 % (3228)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)
% 0.15/0.54 % (3227)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.15/0.54 % (3225)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)
% 0.15/0.54 % (3234)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)
% 1.52/0.55 % (3222)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 % (3222)------------------------------
% 1.52/0.55 % (3222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (3222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (3222)Termination reason: Refutation
% 1.52/0.55
% 1.52/0.55 % (3222)Memory used [KB]: 5756
% 1.52/0.55 % (3222)Time elapsed: 0.151 s
% 1.52/0.55 % (3222)Instructions burned: 21 (million)
% 1.52/0.55 % (3222)------------------------------
% 1.52/0.55 % (3222)------------------------------
% 1.52/0.55 % (3206)Success in time 0.228 s
%------------------------------------------------------------------------------