TSTP Solution File: LCL156-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL156-1 : 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 : n013.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 2.14s 0.63s
% Output : Refutation 2.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 37 unt; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f277,plain,
$false,
inference(subsumption_resolution,[],[f119,f264]) ).
fof(f264,plain,
! [X1] : not(not(X1)) = X1,
inference(forward_demodulation,[],[f263,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f263,plain,
! [X1] : not(not(X1)) = implies(truth,X1),
inference(forward_demodulation,[],[f262,f122]) ).
fof(f122,plain,
! [X0] : truth = implies(X0,X0),
inference(forward_demodulation,[],[f111,f1]) ).
fof(f111,plain,
! [X0] : truth = implies(implies(truth,X0),X0),
inference(backward_demodulation,[],[f79,f99]) ).
fof(f99,plain,
truth = not(falsehood),
inference(superposition,[],[f97,f1]) ).
fof(f97,plain,
truth = implies(truth,not(falsehood)),
inference(superposition,[],[f79,f91]) ).
fof(f91,plain,
truth = implies(not(falsehood),not(falsehood)),
inference(superposition,[],[f79,f37]) ).
fof(f37,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/sandbox2/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f79,plain,
! [X0] : truth = implies(implies(not(falsehood),X0),X0),
inference(superposition,[],[f73,f24]) ).
fof(f24,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/sandbox2/benchmark/theBenchmark.p',or_definition) ).
fof(f7,axiom,
! [X0,X1] : or(X0,X1) = or(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_commutativity) ).
fof(f73,plain,
! [X0] : truth = implies(implies(not(X0),falsehood),X0),
inference(forward_demodulation,[],[f60,f1]) ).
fof(f60,plain,
! [X0] : truth = implies(implies(not(X0),falsehood),implies(truth,X0)),
inference(superposition,[],[f4,f16]) ).
fof(f16,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_definition) ).
fof(f4,axiom,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_4) ).
fof(f262,plain,
! [X1] : not(not(X1)) = implies(implies(not(X1),not(X1)),X1),
inference(forward_demodulation,[],[f261,f24]) ).
fof(f261,plain,
! [X1] : not(not(X1)) = implies(implies(not(not(X1)),X1),X1),
inference(forward_demodulation,[],[f256,f1]) ).
fof(f256,plain,
! [X1] : implies(implies(not(not(X1)),X1),X1) = implies(truth,not(not(X1))),
inference(superposition,[],[f3,f233]) ).
fof(f233,plain,
! [X1] : truth = implies(X1,not(not(X1))),
inference(superposition,[],[f193,f1]) ).
fof(f193,plain,
! [X2] : truth = implies(truth,implies(X2,not(not(X2)))),
inference(superposition,[],[f4,f146]) ).
fof(f146,plain,
! [X2] : truth = implies(not(not(X2)),X2),
inference(forward_demodulation,[],[f145,f1]) ).
fof(f145,plain,
! [X2] : truth = implies(implies(truth,not(not(X2))),X2),
inference(forward_demodulation,[],[f140,f99]) ).
fof(f140,plain,
! [X2] : truth = implies(implies(not(falsehood),not(not(X2))),X2),
inference(superposition,[],[f4,f120]) ).
fof(f120,plain,
! [X3] : implies(not(X3),falsehood) = X3,
inference(forward_demodulation,[],[f118,f1]) ).
fof(f118,plain,
! [X3] : implies(truth,X3) = implies(not(X3),falsehood),
inference(superposition,[],[f24,f99]) ).
fof(f119,plain,
x != not(not(x)),
inference(forward_demodulation,[],[f112,f1]) ).
fof(f112,plain,
x != not(implies(truth,not(x))),
inference(backward_demodulation,[],[f30,f99]) ).
fof(f30,plain,
x != not(implies(not(falsehood),not(x))),
inference(backward_demodulation,[],[f29,f24]) ).
fof(f29,plain,
x != not(implies(not(not(x)),falsehood)),
inference(forward_demodulation,[],[f22,f16]) ).
fof(f22,plain,
x != not(implies(not(not(x)),not(truth))),
inference(definition_unfolding,[],[f17,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/sandbox2/benchmark/theBenchmark.p',and_star_definition) ).
fof(f17,axiom,
x != and_star(x,truth),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : LCL156-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.35 % Computer : n013.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Aug 30 01:35:32 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.54 % (19594)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (19593)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)
% 0.20/0.55 % (19602)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)
% 0.20/0.55 % (19610)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 TRYING [1]
% 0.20/0.55 % (19601)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)
% 0.20/0.56 % (19594)Instruction limit reached!
% 0.20/0.56 % (19594)------------------------------
% 0.20/0.56 % (19594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (19594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (19594)Termination reason: Unknown
% 0.20/0.56 % (19594)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (19594)Memory used [KB]: 5500
% 0.20/0.56 % (19594)Time elapsed: 0.122 s
% 0.20/0.56 % (19609)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)
% 0.20/0.56 % (19594)Instructions burned: 8 (million)
% 0.20/0.56 % (19594)------------------------------
% 0.20/0.56 % (19594)------------------------------
% 0.20/0.57 TRYING [2]
% 0.20/0.59 % (19608)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.59 TRYING [3]
% 0.20/0.60 % (19604)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.60 % (19616)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)
% 0.20/0.60 % (19615)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.60 % (19592)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)
% 0.20/0.60 % (19591)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.60 % (19596)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)
% 0.20/0.61 % (19597)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.61 % (19614)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)
% 0.20/0.61 % (19589)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)
% 0.20/0.61 % (19590)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)
% 0.20/0.61 % (19587)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)
% 0.20/0.61 % (19600)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.61 % (19605)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.61 % (19607)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)
% 0.20/0.62 % (19606)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)
% 0.20/0.62 % (19612)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.62 % (19603)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)
% 0.20/0.62 % (19593)Instruction limit reached!
% 0.20/0.62 % (19593)------------------------------
% 0.20/0.62 % (19593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62 % (19613)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)
% 0.20/0.62 % (19598)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)
% 0.20/0.62 TRYING [1]
% 0.20/0.62 TRYING [2]
% 0.20/0.62 % (19593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.62 % (19593)Termination reason: Unknown
% 0.20/0.62 % (19593)Termination phase: Finite model building SAT solving
% 0.20/0.62
% 0.20/0.62 % (19593)Memory used [KB]: 7675
% 0.20/0.62 % (19593)Time elapsed: 0.175 s
% 0.20/0.62 % (19593)Instructions burned: 53 (million)
% 0.20/0.62 % (19593)------------------------------
% 0.20/0.62 % (19593)------------------------------
% 0.20/0.62 % (19595)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.62 % (19595)Instruction limit reached!
% 0.20/0.62 % (19595)------------------------------
% 0.20/0.62 % (19595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62 % (19595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.62 % (19595)Termination reason: Unknown
% 0.20/0.62 % (19595)Termination phase: Saturation
% 0.20/0.62
% 0.20/0.62 % (19595)Memory used [KB]: 5373
% 0.20/0.62 % (19595)Time elapsed: 0.003 s
% 0.20/0.62 % (19595)Instructions burned: 2 (million)
% 0.20/0.62 % (19595)------------------------------
% 0.20/0.62 % (19595)------------------------------
% 2.14/0.63 % (19592)First to succeed.
% 2.14/0.63 % (19592)Refutation found. Thanks to Tanya!
% 2.14/0.63 % SZS status Unsatisfiable for theBenchmark
% 2.14/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.14/0.63 % (19592)------------------------------
% 2.14/0.63 % (19592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.63 % (19592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.63 % (19592)Termination reason: Refutation
% 2.14/0.63
% 2.14/0.63 % (19592)Memory used [KB]: 5500
% 2.14/0.63 % (19592)Time elapsed: 0.211 s
% 2.14/0.63 % (19592)Instructions burned: 13 (million)
% 2.14/0.63 % (19592)------------------------------
% 2.14/0.63 % (19592)------------------------------
% 2.14/0.63 % (19586)Success in time 0.275 s
%------------------------------------------------------------------------------