TSTP Solution File: LCL154-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n027.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 1.46s 0.56s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 10
% 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 : 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 : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f492,plain,
$false,
inference(trivial_inequality_removal,[],[f487]) ).
fof(f487,plain,
x != x,
inference(superposition,[],[f401,f466]) ).
fof(f466,plain,
! [X2] : implies(implies(falsehood,X2),X2) = X2,
inference(forward_demodulation,[],[f465,f359]) ).
fof(f359,plain,
! [X1] : not(not(X1)) = X1,
inference(forward_demodulation,[],[f358,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f358,plain,
! [X1] : implies(truth,X1) = not(not(X1)),
inference(forward_demodulation,[],[f357,f168]) ).
fof(f168,plain,
! [X1] : truth = implies(X1,X1),
inference(forward_demodulation,[],[f154,f1]) ).
fof(f154,plain,
! [X1] : truth = implies(implies(truth,X1),X1),
inference(backward_demodulation,[],[f68,f150]) ).
fof(f150,plain,
truth = not(falsehood),
inference(forward_demodulation,[],[f149,f68]) ).
fof(f149,plain,
implies(implies(not(falsehood),truth),truth) = not(falsehood),
inference(forward_demodulation,[],[f144,f1]) ).
fof(f144,plain,
implies(implies(not(falsehood),truth),truth) = implies(truth,not(falsehood)),
inference(superposition,[],[f3,f138]) ).
fof(f138,plain,
truth = implies(truth,not(falsehood)),
inference(superposition,[],[f68,f120]) ).
fof(f120,plain,
truth = implies(not(falsehood),not(falsehood)),
inference(superposition,[],[f99,f68]) ).
fof(f99,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(f68,plain,
! [X1] : truth = implies(implies(not(falsehood),X1),X1),
inference(superposition,[],[f48,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(f48,plain,
! [X0] : truth = implies(implies(not(X0),falsehood),X0),
inference(forward_demodulation,[],[f39,f1]) ).
fof(f39,plain,
! [X0] : truth = implies(implies(not(X0),falsehood),implies(truth,X0)),
inference(superposition,[],[f4,f16]) ).
fof(f16,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_definition) ).
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(f357,plain,
! [X1] : not(not(X1)) = implies(implies(not(X1),not(X1)),X1),
inference(forward_demodulation,[],[f356,f21]) ).
fof(f356,plain,
! [X1] : implies(implies(not(not(X1)),X1),X1) = not(not(X1)),
inference(forward_demodulation,[],[f350,f1]) ).
fof(f350,plain,
! [X1] : implies(implies(not(not(X1)),X1),X1) = implies(truth,not(not(X1))),
inference(superposition,[],[f3,f335]) ).
fof(f335,plain,
! [X1] : truth = implies(X1,not(not(X1))),
inference(forward_demodulation,[],[f334,f171]) ).
fof(f171,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(backward_demodulation,[],[f99,f168]) ).
fof(f334,plain,
! [X1] : implies(implies(implies(X1,not(not(X1))),truth),truth) = implies(X1,not(not(X1))),
inference(forward_demodulation,[],[f329,f1]) ).
fof(f329,plain,
! [X1] : implies(implies(implies(X1,not(not(X1))),truth),truth) = implies(truth,implies(X1,not(not(X1)))),
inference(superposition,[],[f3,f288]) ).
fof(f288,plain,
! [X6] : truth = implies(truth,implies(X6,not(not(X6)))),
inference(superposition,[],[f4,f234]) ).
fof(f234,plain,
! [X4] : truth = implies(not(not(X4)),X4),
inference(forward_demodulation,[],[f233,f1]) ).
fof(f233,plain,
! [X4] : truth = implies(implies(truth,not(not(X4))),X4),
inference(forward_demodulation,[],[f232,f150]) ).
fof(f232,plain,
! [X4] : truth = implies(implies(not(falsehood),not(not(X4))),X4),
inference(superposition,[],[f4,f207]) ).
fof(f207,plain,
! [X3] : implies(not(X3),falsehood) = X3,
inference(forward_demodulation,[],[f195,f1]) ).
fof(f195,plain,
! [X3] : implies(truth,X3) = implies(not(X3),falsehood),
inference(superposition,[],[f21,f150]) ).
fof(f465,plain,
! [X2] : not(not(X2)) = implies(implies(falsehood,X2),X2),
inference(forward_demodulation,[],[f448,f424]) ).
fof(f424,plain,
! [X11] : not(X11) = implies(X11,falsehood),
inference(superposition,[],[f207,f359]) ).
fof(f448,plain,
! [X2] : not(implies(X2,falsehood)) = implies(implies(falsehood,X2),X2),
inference(superposition,[],[f424,f3]) ).
fof(f401,plain,
x != implies(implies(falsehood,x),x),
inference(forward_demodulation,[],[f373,f359]) ).
fof(f373,plain,
x != implies(implies(falsehood,not(not(x))),not(not(x))),
inference(backward_demodulation,[],[f167,f359]) ).
fof(f167,plain,
x != implies(not(not(implies(falsehood,not(not(x))))),not(not(x))),
inference(forward_demodulation,[],[f166,f1]) ).
fof(f166,plain,
x != implies(not(not(implies(falsehood,not(not(x))))),not(implies(truth,not(x)))),
inference(forward_demodulation,[],[f165,f150]) ).
fof(f165,plain,
x != implies(not(not(implies(falsehood,not(not(x))))),not(implies(not(falsehood),not(x)))),
inference(forward_demodulation,[],[f164,f16]) ).
fof(f164,plain,
x != implies(not(not(implies(not(truth),not(not(x))))),not(implies(not(not(truth)),not(x)))),
inference(forward_demodulation,[],[f152,f22]) ).
fof(f22,plain,
! [X0,X1] : not(implies(not(not(X1)),not(X0))) = not(implies(not(not(X0)),not(X1))),
inference(definition_unfolding,[],[f10,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(f10,axiom,
! [X0,X1] : and(X0,X1) = and(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_commutativity) ).
fof(f152,plain,
x != implies(not(not(implies(not(truth),not(not(x))))),not(implies(not(not(x)),not(truth)))),
inference(backward_demodulation,[],[f32,f150]) ).
fof(f32,plain,
x != implies(not(not(implies(not(not(falsehood)),not(not(x))))),not(implies(not(not(x)),not(not(falsehood))))),
inference(superposition,[],[f29,f21]) ).
fof(f29,plain,
x != implies(not(not(implies(not(not(x)),not(not(falsehood))))),not(implies(not(not(falsehood)),not(not(x))))),
inference(forward_demodulation,[],[f27,f22]) ).
fof(f27,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(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
% 0.07/0.12 % Problem : LCL154-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n027.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 01:54:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 % (32484)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)
% 0.19/0.47 TRYING [1]
% 0.19/0.48 % (32501)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)
% 0.19/0.48 TRYING [2]
% 0.19/0.49 TRYING [3]
% 0.19/0.50 % (32492)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (32498)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)
% 0.19/0.50 % (32492)Instruction limit reached!
% 0.19/0.50 % (32492)------------------------------
% 0.19/0.50 % (32492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (32492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (32492)Termination reason: Unknown
% 0.19/0.50 % (32492)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (32492)Memory used [KB]: 895
% 0.19/0.50 % (32492)Time elapsed: 0.002 s
% 0.19/0.50 % (32492)Instructions burned: 2 (million)
% 0.19/0.50 % (32492)------------------------------
% 0.19/0.50 % (32492)------------------------------
% 0.19/0.50 % (32485)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)
% 0.19/0.50 % (32511)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)
% 0.19/0.50 % (32488)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (32489)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)
% 0.19/0.50 % (32497)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (32508)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)
% 0.19/0.51 % (32505)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)
% 0.19/0.51 % (32506)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.51 % (32496)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (32510)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (32490)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)
% 0.19/0.52 % (32486)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)
% 0.19/0.52 % (32500)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)
% 1.35/0.52 % (32487)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)
% 1.35/0.52 % (32512)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)
% 1.35/0.52 TRYING [1]
% 1.35/0.52 % (32513)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.35/0.52 % (32503)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.35/0.53 % (32495)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)
% 1.35/0.53 % (32491)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.35/0.53 % (32502)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.35/0.53 % (32491)Instruction limit reached!
% 1.35/0.53 % (32491)------------------------------
% 1.35/0.53 % (32491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.53 % (32491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.53 % (32491)Termination reason: Unknown
% 1.35/0.53 % (32491)Termination phase: Saturation
% 1.35/0.53
% 1.35/0.53 % (32491)Memory used [KB]: 5500
% 1.35/0.53 % (32491)Time elapsed: 0.099 s
% 1.35/0.53 % (32491)Instructions burned: 8 (million)
% 1.35/0.53 % (32491)------------------------------
% 1.35/0.53 % (32491)------------------------------
% 1.35/0.53 % (32494)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.35/0.53 % (32509)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.35/0.53 % (32507)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)
% 1.35/0.54 % (32493)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)
% 1.46/0.54 TRYING [2]
% 1.46/0.55 % (32514)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)
% 1.46/0.55 TRYING [3]
% 1.46/0.55 % (32504)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)
% 1.46/0.56 TRYING [1]
% 1.46/0.56 TRYING [2]
% 1.46/0.56 % (32505)First to succeed.
% 1.46/0.56 % (32505)Refutation found. Thanks to Tanya!
% 1.46/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.46/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.56 % (32505)------------------------------
% 1.46/0.56 % (32505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56 % (32505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56 % (32505)Termination reason: Refutation
% 1.46/0.56
% 1.46/0.56 % (32505)Memory used [KB]: 5628
% 1.46/0.56 % (32505)Time elapsed: 0.148 s
% 1.46/0.56 % (32505)Instructions burned: 27 (million)
% 1.46/0.56 % (32505)------------------------------
% 1.46/0.56 % (32505)------------------------------
% 1.46/0.56 % (32481)Success in time 0.213 s
%------------------------------------------------------------------------------