TSTP Solution File: LCL140-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL140-1 : 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 : n017.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 17:39:03 EDT 2022
% Result : Unsatisfiable 0.21s 0.58s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 36 unt; 0 def)
% Number of atoms : 36 ( 35 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f723,plain,
$false,
inference(trivial_inequality_removal,[],[f719]) ).
fof(f719,plain,
x != x,
inference(backward_demodulation,[],[f5,f718]) ).
fof(f718,plain,
! [X7] : not(not(X7)) = X7,
inference(forward_demodulation,[],[f651,f627]) ).
fof(f627,plain,
! [X2] : implies(X2,not(truth)) = not(X2),
inference(superposition,[],[f394,f612]) ).
fof(f612,plain,
! [X7] : implies(not(X7),not(truth)) = X7,
inference(forward_demodulation,[],[f611,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f611,plain,
! [X7] : implies(truth,X7) = implies(not(X7),not(truth)),
inference(forward_demodulation,[],[f610,f20]) ).
fof(f20,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(f610,plain,
! [X7] : implies(implies(implies(not(X7),not(truth)),X7),X7) = implies(not(X7),not(truth)),
inference(forward_demodulation,[],[f593,f1]) ).
fof(f593,plain,
! [X7] : implies(implies(implies(not(X7),not(truth)),X7),X7) = implies(truth,implies(not(X7),not(truth))),
inference(superposition,[],[f3,f570]) ).
fof(f570,plain,
! [X0] : truth = implies(X0,implies(not(X0),not(truth))),
inference(forward_demodulation,[],[f555,f1]) ).
fof(f555,plain,
! [X0] : truth = implies(truth,implies(X0,implies(not(X0),not(truth)))),
inference(superposition,[],[f4,f524]) ).
fof(f524,plain,
! [X24] : truth = implies(not(implies(X24,not(truth))),X24),
inference(superposition,[],[f374,f394]) ).
fof(f374,plain,
! [X8,X7] : truth = implies(not(X8),implies(X8,X7)),
inference(forward_demodulation,[],[f325,f1]) ).
fof(f325,plain,
! [X8,X7] : truth = implies(truth,implies(not(X8),implies(X8,X7))),
inference(superposition,[],[f255,f4]) ).
fof(f255,plain,
! [X2,X3,X1] : truth = implies(implies(implies(X2,X1),X3),implies(X1,X3)),
inference(forward_demodulation,[],[f245,f1]) ).
fof(f245,plain,
! [X2,X3,X1] : truth = implies(truth,implies(implies(implies(X2,X1),X3),implies(X1,X3))),
inference(superposition,[],[f2,f221]) ).
fof(f221,plain,
! [X0,X1] : truth = implies(X1,implies(X0,X1)),
inference(forward_demodulation,[],[f220,f1]) ).
fof(f220,plain,
! [X0,X1] : truth = implies(implies(truth,X1),implies(X0,X1)),
inference(forward_demodulation,[],[f209,f1]) ).
fof(f209,plain,
! [X0,X1] : truth = implies(truth,implies(implies(truth,X1),implies(X0,X1))),
inference(superposition,[],[f2,f185]) ).
fof(f185,plain,
! [X0] : truth = implies(X0,truth),
inference(superposition,[],[f73,f160]) ).
fof(f160,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(backward_demodulation,[],[f6,f147]) ).
fof(f147,plain,
! [X15] : truth = implies(X15,X15),
inference(forward_demodulation,[],[f143,f1]) ).
fof(f143,plain,
! [X15] : truth = implies(implies(truth,X15),X15),
inference(superposition,[],[f1,f73]) ).
fof(f6,plain,
! [X0] : implies(X0,X0) = implies(implies(X0,truth),truth),
inference(superposition,[],[f3,f1]) ).
fof(f73,plain,
! [X0,X1] : truth = implies(X1,implies(implies(X1,X0),X0)),
inference(forward_demodulation,[],[f54,f1]) ).
fof(f54,plain,
! [X0,X1] : truth = implies(implies(truth,X1),implies(implies(X1,X0),X0)),
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(f3,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f394,plain,
! [X7] : implies(implies(X7,not(truth)),not(truth)) = X7,
inference(forward_demodulation,[],[f383,f1]) ).
fof(f383,plain,
! [X7] : implies(implies(X7,not(truth)),not(truth)) = implies(truth,X7),
inference(superposition,[],[f3,f372]) ).
fof(f372,plain,
! [X9] : truth = implies(not(truth),X9),
inference(forward_demodulation,[],[f326,f1]) ).
fof(f326,plain,
! [X9] : truth = implies(truth,implies(not(truth),X9)),
inference(superposition,[],[f255,f20]) ).
fof(f651,plain,
! [X7] : implies(not(X7),not(truth)) = X7,
inference(backward_demodulation,[],[f394,f627]) ).
fof(f5,axiom,
x != not(not(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_lemma) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL140-1 : 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
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 01:02:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.21/0.49 % (24731)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)
% 0.21/0.49 % (24727)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)
% 0.21/0.49 % (24737)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)
% 0.21/0.49 % (24749)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)
% 0.21/0.51 % (24745)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)
% 0.21/0.51 % (24741)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)
% 0.21/0.51 % (24727)Instruction limit reached!
% 0.21/0.51 % (24727)------------------------------
% 0.21/0.51 % (24727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (24742)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.21/0.52 % (24723)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)
% 0.21/0.52 % (24727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (24727)Termination reason: Unknown
% 0.21/0.52 % (24727)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (24727)Memory used [KB]: 5500
% 0.21/0.52 % (24727)Time elapsed: 0.119 s
% 0.21/0.52 % (24727)Instructions burned: 7 (million)
% 0.21/0.52 % (24727)------------------------------
% 0.21/0.52 % (24727)------------------------------
% 0.21/0.52 % (24751)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)
% 0.21/0.52 % (24721)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.21/0.53 % (24736)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)
% 0.21/0.53 % (24747)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)
% 0.21/0.53 % (24748)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)
% 0.21/0.53 % (24734)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)
% 0.21/0.53 % (24725)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)
% 0.21/0.53 % (24724)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)
% 0.21/0.53 % (24735)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)
% 0.21/0.53 % (24722)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)
% 0.21/0.53 % (24724)Instruction limit reached!
% 0.21/0.53 % (24724)------------------------------
% 0.21/0.53 % (24724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (24724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (24724)Termination reason: Unknown
% 0.21/0.53 % (24724)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (24724)Memory used [KB]: 5500
% 0.21/0.53 % (24724)Time elapsed: 0.136 s
% 0.21/0.53 % (24724)Instructions burned: 6 (million)
% 0.21/0.53 % (24724)------------------------------
% 0.21/0.53 % (24724)------------------------------
% 0.21/0.54 % (24722)Instruction limit reached!
% 0.21/0.54 % (24722)------------------------------
% 0.21/0.54 % (24722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (24722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (24722)Termination reason: Unknown
% 0.21/0.54 % (24722)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (24722)Memory used [KB]: 5500
% 0.21/0.54 % (24722)Time elapsed: 0.137 s
% 0.21/0.54 % (24722)Instructions burned: 11 (million)
% 0.21/0.54 % (24722)------------------------------
% 0.21/0.54 % (24722)------------------------------
% 0.21/0.54 % (24743)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)
% 0.21/0.54 % (24740)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)
% 0.21/0.54 % (24744)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)
% 0.21/0.54 % (24739)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)
% 0.21/0.54 % (24730)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)
% 0.21/0.54 % (24729)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 % (24733)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)
% 0.21/0.55 % (24726)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)
% 0.21/0.55 % (24728)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.55 % (24750)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)
% 0.21/0.56 % (24738)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)
% 0.21/0.56 % (24731)Instruction limit reached!
% 0.21/0.56 % (24731)------------------------------
% 0.21/0.56 % (24731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (24731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (24731)Termination reason: Unknown
% 0.21/0.56 % (24731)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (24731)Memory used [KB]: 6268
% 0.21/0.56 % (24731)Time elapsed: 0.149 s
% 0.21/0.56 % (24731)Instructions burned: 37 (million)
% 0.21/0.56 % (24731)------------------------------
% 0.21/0.56 % (24731)------------------------------
% 0.21/0.56 % (24746)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 % (24735)First to succeed.
% 0.21/0.57 % (24723)Instruction limit reached!
% 0.21/0.57 % (24723)------------------------------
% 0.21/0.57 % (24723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (24723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (24723)Termination reason: Unknown
% 0.21/0.57 % (24723)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (24723)Memory used [KB]: 6268
% 0.21/0.57 % (24723)Time elapsed: 0.177 s
% 0.21/0.57 % (24723)Instructions burned: 37 (million)
% 0.21/0.57 % (24723)------------------------------
% 0.21/0.57 % (24723)------------------------------
% 0.21/0.58 % (24726)Instruction limit reached!
% 0.21/0.58 % (24726)------------------------------
% 0.21/0.58 % (24726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (24726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (24726)Termination reason: Unknown
% 0.21/0.58 % (24726)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (24726)Memory used [KB]: 5500
% 0.21/0.58 % (24726)Time elapsed: 0.152 s
% 0.21/0.58 % (24726)Instructions burned: 20 (million)
% 0.21/0.58 % (24726)------------------------------
% 0.21/0.58 % (24726)------------------------------
% 0.21/0.58 % (24734)Also succeeded, but the first one will report.
% 0.21/0.58 % (24735)Refutation found. Thanks to Tanya!
% 0.21/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.59 % (24735)------------------------------
% 0.21/0.59 % (24735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (24735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (24735)Termination reason: Refutation
% 0.21/0.59
% 0.21/0.59 % (24735)Memory used [KB]: 5756
% 0.21/0.59 % (24735)Time elapsed: 0.142 s
% 0.21/0.59 % (24735)Instructions burned: 27 (million)
% 0.21/0.59 % (24735)------------------------------
% 0.21/0.59 % (24735)------------------------------
% 0.21/0.59 % (24720)Success in time 0.232 s
%------------------------------------------------------------------------------