TSTP Solution File: LCL153-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL153-1 : 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_sat --cores 0 -t %d %s
% Computer : n004.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 17:47:03 EDT 2022
% Result : Unsatisfiable 0.20s 0.58s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 12
% Syntax : Number of formulae : 56 ( 56 unt; 0 def)
% Number of atoms : 56 ( 55 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 12 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f586,plain,
$false,
inference(subsumption_resolution,[],[f585,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f585,plain,
not(x) != implies(truth,not(x)),
inference(backward_demodulation,[],[f404,f571]) ).
fof(f571,plain,
! [X5] : not(not(X5)) = X5,
inference(forward_demodulation,[],[f570,f1]) ).
fof(f570,plain,
! [X5] : implies(truth,X5) = not(not(X5)),
inference(forward_demodulation,[],[f550,f101]) ).
fof(f101,plain,
truth = not(falsehood),
inference(superposition,[],[f97,f1]) ).
fof(f97,plain,
truth = implies(truth,not(falsehood)),
inference(superposition,[],[f81,f92]) ).
fof(f92,plain,
truth = implies(not(falsehood),not(falsehood)),
inference(superposition,[],[f81,f38]) ).
fof(f38,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(f81,plain,
! [X1] : truth = implies(implies(not(falsehood),X1),X1),
inference(superposition,[],[f74,f21]) ).
fof(f21,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(f74,plain,
! [X1] : truth = implies(implies(not(X1),falsehood),X1),
inference(forward_demodulation,[],[f66,f16]) ).
fof(f16,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_definition) ).
fof(f66,plain,
! [X1] : truth = implies(implies(not(X1),not(truth)),X1),
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(f550,plain,
! [X5] : implies(not(falsehood),X5) = not(not(X5)),
inference(superposition,[],[f513,f21]) ).
fof(f513,plain,
! [X5] : implies(X5,falsehood) = not(X5),
inference(forward_demodulation,[],[f512,f1]) ).
fof(f512,plain,
! [X5] : implies(implies(truth,X5),falsehood) = not(X5),
inference(forward_demodulation,[],[f494,f101]) ).
fof(f494,plain,
! [X5] : implies(implies(not(falsehood),X5),falsehood) = not(X5),
inference(superposition,[],[f429,f21]) ).
fof(f429,plain,
! [X6] : implies(implies(X6,falsehood),falsehood) = X6,
inference(forward_demodulation,[],[f423,f1]) ).
fof(f423,plain,
! [X6] : implies(truth,X6) = implies(implies(X6,falsehood),falsehood),
inference(superposition,[],[f3,f368]) ).
fof(f368,plain,
! [X0] : truth = implies(falsehood,X0),
inference(backward_demodulation,[],[f32,f367]) ).
fof(f367,plain,
! [X20] : truth = implies(not(X20),truth),
inference(forward_demodulation,[],[f348,f121]) ).
fof(f121,plain,
! [X4] : truth = implies(implies(falsehood,X4),truth),
inference(backward_demodulation,[],[f56,f116]) ).
fof(f116,plain,
! [X0] : truth = implies(X0,X0),
inference(backward_demodulation,[],[f38,f108]) ).
fof(f108,plain,
! [X1] : truth = implies(implies(X1,truth),truth),
inference(backward_demodulation,[],[f90,f101]) ).
fof(f90,plain,
! [X1] : truth = implies(implies(X1,not(falsehood)),not(falsehood)),
inference(superposition,[],[f81,f3]) ).
fof(f56,plain,
! [X4] : implies(implies(falsehood,X4),truth) = implies(not(X4),not(X4)),
inference(forward_demodulation,[],[f50,f16]) ).
fof(f50,plain,
! [X4] : implies(not(X4),not(X4)) = implies(implies(not(truth),X4),truth),
inference(superposition,[],[f38,f21]) ).
fof(f348,plain,
! [X20] : truth = implies(not(X20),implies(implies(falsehood,X20),truth)),
inference(superposition,[],[f172,f32]) ).
fof(f172,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),X1)),
inference(forward_demodulation,[],[f138,f1]) ).
fof(f138,plain,
! [X0,X1] : truth = implies(X0,implies(implies(X0,X1),implies(truth,X1))),
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(f32,plain,
! [X0] : implies(falsehood,X0) = implies(not(X0),truth),
inference(superposition,[],[f21,f16]) ).
fof(f404,plain,
not(x) != implies(truth,not(not(not(x)))),
inference(forward_demodulation,[],[f403,f101]) ).
fof(f403,plain,
not(x) != implies(not(falsehood),not(not(not(x)))),
inference(forward_demodulation,[],[f380,f16]) ).
fof(f380,plain,
not(x) != implies(not(not(truth)),not(not(not(x)))),
inference(backward_demodulation,[],[f114,f368]) ).
fof(f114,plain,
not(x) != implies(not(not(implies(falsehood,not(x)))),not(not(not(x)))),
inference(forward_demodulation,[],[f113,f16]) ).
fof(f113,plain,
not(x) != implies(not(not(implies(not(truth),not(x)))),not(not(not(x)))),
inference(forward_demodulation,[],[f106,f1]) ).
fof(f106,plain,
not(x) != implies(not(not(implies(not(truth),not(x)))),not(implies(truth,not(not(x))))),
inference(backward_demodulation,[],[f31,f101]) ).
fof(f31,plain,
not(x) != implies(not(not(implies(not(not(falsehood)),not(x)))),not(implies(not(falsehood),not(not(x))))),
inference(forward_demodulation,[],[f30,f25]) ).
fof(f25,plain,
! [X0,X1] : not(implies(not(not(X1)),not(X0))) = not(implies(not(not(X0)),not(X1))),
inference(definition_unfolding,[],[f15,f20,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(f15,axiom,
! [X0,X1] : and_star(X0,X1) = and_star(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_star_commutativity) ).
fof(f30,plain,
not(x) != implies(not(not(implies(not(not(x)),not(falsehood)))),not(implies(not(falsehood),not(not(x))))),
inference(forward_demodulation,[],[f29,f16]) ).
fof(f29,plain,
not(x) != implies(not(not(implies(not(not(x)),not(not(truth))))),not(implies(not(not(truth)),not(not(x))))),
inference(forward_demodulation,[],[f23,f25]) ).
fof(f23,plain,
not(x) != implies(not(not(implies(not(not(x)),not(not(truth))))),not(implies(not(not(not(x))),not(truth)))),
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,
not(x) != xor(x,truth),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL153-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 01:35:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.52 % (16211)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52 % (16197)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (16190)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (16195)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (16217)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (16215)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (16193)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (16194)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54 % (16191)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54 % (16192)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (16189)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (16205)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (16216)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54 % (16196)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (16197)Instruction limit reached!
% 0.20/0.54 % (16197)------------------------------
% 0.20/0.54 % (16197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (16197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (16197)Termination reason: Unknown
% 0.20/0.54 % (16197)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (16197)Memory used [KB]: 5373
% 0.20/0.54 % (16197)Time elapsed: 0.114 s
% 0.20/0.54 % (16197)Instructions burned: 2 (million)
% 0.20/0.54 % (16197)------------------------------
% 0.20/0.54 % (16197)------------------------------
% 0.20/0.54 % (16203)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (16208)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (16213)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (16207)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (16196)Instruction limit reached!
% 0.20/0.54 % (16196)------------------------------
% 0.20/0.54 % (16196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (16196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (16196)Termination reason: Unknown
% 0.20/0.54 % (16196)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (16196)Memory used [KB]: 5500
% 0.20/0.54 % (16196)Time elapsed: 0.126 s
% 0.20/0.54 % (16196)Instructions burned: 9 (million)
% 0.20/0.54 % (16196)------------------------------
% 0.20/0.54 % (16196)------------------------------
% 0.20/0.54 % (16206)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 % (16218)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.55 % (16210)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55 % (16212)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.55 % (16201)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (16198)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (16199)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (16200)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (16214)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55 % (16209)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.56 % (16204)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.56 % (16202)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 TRYING [2]
% 0.20/0.57 TRYING [1]
% 0.20/0.57 TRYING [2]
% 0.20/0.58 % (16190)First to succeed.
% 0.20/0.58 % (16190)Refutation found. Thanks to Tanya!
% 0.20/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58 % (16190)------------------------------
% 0.20/0.58 % (16190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (16190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (16190)Termination reason: Refutation
% 0.20/0.58
% 0.20/0.58 % (16190)Memory used [KB]: 5756
% 0.20/0.58 % (16190)Time elapsed: 0.147 s
% 0.20/0.58 % (16190)Instructions burned: 27 (million)
% 0.20/0.58 % (16190)------------------------------
% 0.20/0.58 % (16190)------------------------------
% 0.20/0.58 % (16188)Success in time 0.221 s
%------------------------------------------------------------------------------