TSTP Solution File: LCL112-2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL112-2 : 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 : n014.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 17:38:55 EDT 2022
% Result : Unsatisfiable 0.22s 0.55s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% 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 : 6 ( 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 : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f607,plain,
$false,
inference(trivial_inequality_removal,[],[f606]) ).
fof(f606,plain,
truth != truth,
inference(backward_demodulation,[],[f5,f605]) ).
fof(f605,plain,
! [X2] : truth = implies(X2,not(not(X2))),
inference(forward_demodulation,[],[f597,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f597,plain,
! [X2] : truth = implies(truth,implies(X2,not(not(X2)))),
inference(superposition,[],[f4,f593]) ).
fof(f593,plain,
! [X0] : truth = implies(not(not(X0)),X0),
inference(forward_demodulation,[],[f592,f1]) ).
fof(f592,plain,
! [X0] : truth = implies(implies(truth,not(not(X0))),X0),
inference(forward_demodulation,[],[f591,f385]) ).
fof(f385,plain,
truth = not(not(truth)),
inference(backward_demodulation,[],[f287,f384]) ).
fof(f384,plain,
! [X0] : truth = implies(not(truth),X0),
inference(forward_demodulation,[],[f336,f1]) ).
fof(f336,plain,
! [X0] : truth = implies(truth,implies(not(truth),X0)),
inference(superposition,[],[f211,f12]) ).
fof(f12,plain,
! [X0] : truth = implies(implies(not(X0),not(truth)),X0),
inference(superposition,[],[f4,f1]) ).
fof(f211,plain,
! [X2,X3,X1] : truth = implies(implies(implies(X2,X1),X3),implies(X1,X3)),
inference(forward_demodulation,[],[f203,f1]) ).
fof(f203,plain,
! [X2,X3,X1] : truth = implies(truth,implies(implies(implies(X2,X1),X3),implies(X1,X3))),
inference(superposition,[],[f2,f177]) ).
fof(f177,plain,
! [X0,X1] : truth = implies(X0,implies(X1,X0)),
inference(forward_demodulation,[],[f165,f1]) ).
fof(f165,plain,
! [X0,X1] : truth = implies(truth,implies(X0,implies(X1,X0))),
inference(backward_demodulation,[],[f41,f164]) ).
fof(f164,plain,
! [X4] : truth = implies(X4,truth),
inference(forward_demodulation,[],[f131,f141]) ).
fof(f141,plain,
! [X15] : truth = implies(X15,X15),
inference(forward_demodulation,[],[f137,f1]) ).
fof(f137,plain,
! [X15] : truth = implies(implies(truth,X15),X15),
inference(superposition,[],[f1,f64]) ).
fof(f64,plain,
! [X0,X1] : truth = implies(X1,implies(implies(X1,X0),X0)),
inference(forward_demodulation,[],[f47,f1]) ).
fof(f47,plain,
! [X0,X1] : truth = implies(implies(truth,X1),implies(implies(X1,X0),X0)),
inference(superposition,[],[f2,f1]) ).
fof(f131,plain,
! [X4] : truth = implies(X4,implies(X4,X4)),
inference(superposition,[],[f64,f9]) ).
fof(f9,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(f41,plain,
! [X0,X1] : truth = implies(implies(X1,truth),implies(X0,implies(X1,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(f287,plain,
implies(not(truth),not(not(truth))) = not(not(truth)),
inference(forward_demodulation,[],[f251,f1]) ).
fof(f251,plain,
implies(not(truth),not(not(truth))) = implies(truth,not(not(truth))),
inference(superposition,[],[f179,f12]) ).
fof(f179,plain,
! [X2,X1] : implies(X1,X2) = implies(implies(implies(X2,X1),X1),X2),
inference(forward_demodulation,[],[f178,f1]) ).
fof(f178,plain,
! [X2,X1] : implies(implies(implies(X2,X1),X1),X2) = implies(truth,implies(X1,X2)),
inference(backward_demodulation,[],[f10,f177]) ).
fof(f10,plain,
! [X2,X1] : implies(implies(implies(X2,X1),X1),X2) = implies(implies(X2,implies(X1,X2)),implies(X1,X2)),
inference(superposition,[],[f3,f3]) ).
fof(f591,plain,
! [X0] : truth = implies(implies(not(not(truth)),not(not(X0))),X0),
inference(forward_demodulation,[],[f534,f1]) ).
fof(f534,plain,
! [X0] : truth = implies(truth,implies(implies(not(not(truth)),not(not(X0))),X0)),
inference(superposition,[],[f61,f12]) ).
fof(f61,plain,
! [X10,X8,X9] : truth = implies(implies(implies(X9,X8),X10),implies(implies(not(X8),not(X9)),X10)),
inference(forward_demodulation,[],[f38,f1]) ).
fof(f38,plain,
! [X10,X8,X9] : truth = implies(truth,implies(implies(implies(X9,X8),X10),implies(implies(not(X8),not(X9)),X10))),
inference(superposition,[],[f2,f4]) ).
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(f5,axiom,
truth != implies(x,not(not(x))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_29) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : LCL112-2 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.37 % Computer : n014.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 30 01:36:48 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.22/0.50 % (930)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)
% 0.22/0.50 % (922)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)
% 0.22/0.51 % (940)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)
% 0.22/0.51 % (923)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)
% 0.22/0.52 % (915)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)
% 0.22/0.53 % (931)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)
% 0.22/0.53 % (933)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)
% 0.22/0.53 % (917)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)
% 0.22/0.53 % (918)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)
% 0.22/0.53 % (941)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)
% 0.22/0.54 % (917)Instruction limit reached!
% 0.22/0.54 % (917)------------------------------
% 0.22/0.54 % (917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (915)Instruction limit reached!
% 0.22/0.54 % (915)------------------------------
% 0.22/0.54 % (915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (925)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)
% 0.22/0.54 % (917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (917)Termination reason: Unknown
% 0.22/0.54 % (917)Termination phase: Saturation
% 0.22/0.54
% 0.22/0.54 % (917)Memory used [KB]: 5628
% 0.22/0.54 % (917)Time elapsed: 0.107 s
% 0.22/0.54 % (917)Instructions burned: 7 (million)
% 0.22/0.54 % (917)------------------------------
% 0.22/0.54 % (917)------------------------------
% 0.22/0.54 % (928)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)
% 0.22/0.54 % (914)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.22/0.54 % (932)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)
% 0.22/0.55 % (915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55 % (915)Termination reason: Unknown
% 0.22/0.55 % (915)Termination phase: Saturation
% 0.22/0.55
% 0.22/0.55 % (915)Memory used [KB]: 5628
% 0.22/0.55 % (915)Time elapsed: 0.108 s
% 0.22/0.55 % (915)Instructions burned: 10 (million)
% 0.22/0.55 % (915)------------------------------
% 0.22/0.55 % (915)------------------------------
% 0.22/0.55 % (921)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.22/0.55 % (924)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)
% 0.22/0.55 % (926)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)
% 0.22/0.55 % (930)First to succeed.
% 0.22/0.55 % (934)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.22/0.55 % (929)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)
% 0.22/0.55 % (930)Refutation found. Thanks to Tanya!
% 0.22/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.55 % (930)------------------------------
% 0.22/0.55 % (930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55 % (930)Termination reason: Refutation
% 0.22/0.55
% 0.22/0.55 % (930)Memory used [KB]: 6012
% 0.22/0.55 % (930)Time elapsed: 0.148 s
% 0.22/0.55 % (930)Instructions burned: 28 (million)
% 0.22/0.55 % (930)------------------------------
% 0.22/0.55 % (930)------------------------------
% 0.22/0.55 % (913)Success in time 0.176 s
%------------------------------------------------------------------------------