TSTP Solution File: LCL155-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL155-1 : 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 : n025.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 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 37 unt; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 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 : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f129,plain,
$false,
inference(subsumption_resolution,[],[f128,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f128,plain,
falsehood != implies(truth,falsehood),
inference(forward_demodulation,[],[f127,f106]) ).
fof(f106,plain,
truth = not(falsehood),
inference(forward_demodulation,[],[f105,f79]) ).
fof(f79,plain,
! [X0] : truth = implies(implies(not(falsehood),X0),X0),
inference(superposition,[],[f74,f28]) ).
fof(f28,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,[],[f65,f16]) ).
fof(f16,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_definition) ).
fof(f65,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(f105,plain,
not(falsehood) = implies(implies(not(falsehood),truth),truth),
inference(forward_demodulation,[],[f103,f1]) ).
fof(f103,plain,
implies(implies(not(falsehood),truth),truth) = implies(truth,not(falsehood)),
inference(superposition,[],[f3,f96]) ).
fof(f96,plain,
truth = implies(truth,not(falsehood)),
inference(superposition,[],[f79,f91]) ).
fof(f91,plain,
truth = implies(not(falsehood),not(falsehood)),
inference(superposition,[],[f79,f39]) ).
fof(f39,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
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(f127,plain,
falsehood != implies(not(falsehood),falsehood),
inference(forward_demodulation,[],[f126,f16]) ).
fof(f126,plain,
falsehood != implies(not(not(truth)),not(truth)),
inference(backward_demodulation,[],[f55,f121]) ).
fof(f121,plain,
! [X5] : truth = implies(implies(falsehood,X5),truth),
inference(backward_demodulation,[],[f54,f114]) ).
fof(f114,plain,
! [X0] : truth = implies(X0,X0),
inference(forward_demodulation,[],[f112,f1]) ).
fof(f112,plain,
! [X0] : truth = implies(implies(truth,X0),X0),
inference(backward_demodulation,[],[f79,f106]) ).
fof(f54,plain,
! [X5] : implies(implies(falsehood,X5),truth) = implies(not(X5),not(X5)),
inference(forward_demodulation,[],[f48,f16]) ).
fof(f48,plain,
! [X5] : implies(implies(not(truth),X5),truth) = implies(not(X5),not(X5)),
inference(superposition,[],[f39,f28]) ).
fof(f55,plain,
falsehood != implies(not(not(implies(implies(falsehood,not(x)),truth))),not(implies(implies(falsehood,not(x)),truth))),
inference(backward_demodulation,[],[f29,f54]) ).
fof(f29,plain,
falsehood != implies(not(not(implies(not(not(x)),not(not(x))))),not(implies(not(not(x)),not(not(x))))),
inference(forward_demodulation,[],[f22,f27]) ).
fof(f27,plain,
! [X0,X1] : not(implies(not(not(X0)),not(X1))) = not(implies(not(not(X1)),not(X0))),
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(f22,plain,
falsehood != implies(not(not(implies(not(not(x)),not(not(x))))),not(implies(not(not(not(x))),not(x)))),
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,
falsehood != xor(x,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL155-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 01:48:14 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.43 % (15162)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)
% 0.20/0.45 % (15189)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)
% 0.20/0.48 % (15173)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.48 % (15162)Instruction limit reached!
% 0.20/0.48 % (15162)------------------------------
% 0.20/0.48 % (15162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (15182)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)
% 0.20/0.50 % (15161)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)
% 0.20/0.50 % (15163)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)
% 0.20/0.50 % (15172)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.50 % (15162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (15162)Termination reason: Unknown
% 0.20/0.50 % (15162)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (15162)Memory used [KB]: 1663
% 0.20/0.50 % (15162)Time elapsed: 0.099 s
% 0.20/0.50 % (15162)Instructions burned: 37 (million)
% 0.20/0.50 % (15162)------------------------------
% 0.20/0.50 % (15162)------------------------------
% 0.20/0.50 % (15160)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)
% 0.20/0.51 % (15188)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51 % (15166)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)
% 0.20/0.51 % (15174)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)
% 0.20/0.52 % (15164)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (15168)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 % (15185)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52 % (15165)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)
% 0.20/0.53 % (15184)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (15178)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (15171)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)
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (15183)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)
% 0.20/0.53 % (15175)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)
% 0.20/0.53 % (15161)First to succeed.
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (15161)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (15161)------------------------------
% 0.20/0.53 % (15161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (15161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (15161)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (15161)Memory used [KB]: 5500
% 0.20/0.53 % (15161)Time elapsed: 0.130 s
% 0.20/0.53 % (15161)Instructions burned: 7 (million)
% 0.20/0.53 % (15161)------------------------------
% 0.20/0.53 % (15161)------------------------------
% 0.20/0.53 % (15159)Success in time 0.186 s
%------------------------------------------------------------------------------