TSTP Solution File: LCL158-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL158-1 : 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 : n012.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 17:47:04 EDT 2022
% Result : Unsatisfiable 1.48s 0.53s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 12
% Syntax : Number of formulae : 63 ( 63 unt; 0 def)
% Number of atoms : 63 ( 62 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 21 ( 21 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 11 ( 3 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(f804,plain,
$false,
inference(subsumption_resolution,[],[f803,f16]) ).
fof(f16,axiom,
not(truth) = falsehood,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_definition) ).
fof(f803,plain,
not(truth) != falsehood,
inference(forward_demodulation,[],[f802,f122]) ).
fof(f122,plain,
! [X0] : truth = implies(X0,X0),
inference(forward_demodulation,[],[f109,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f109,plain,
! [X0] : truth = implies(implies(truth,X0),X0),
inference(backward_demodulation,[],[f77,f97]) ).
fof(f97,plain,
truth = not(falsehood),
inference(superposition,[],[f94,f1]) ).
fof(f94,plain,
truth = implies(truth,not(falsehood)),
inference(superposition,[],[f77,f89]) ).
fof(f89,plain,
truth = implies(not(falsehood),not(falsehood)),
inference(superposition,[],[f77,f35]) ).
fof(f35,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(f77,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/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(f73,plain,
! [X0] : truth = implies(implies(not(X0),falsehood),X0),
inference(forward_demodulation,[],[f58,f1]) ).
fof(f58,plain,
! [X0] : truth = implies(implies(not(X0),falsehood),implies(truth,X0)),
inference(superposition,[],[f4,f16]) ).
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(f802,plain,
falsehood != not(implies(not(not(x)),not(not(x)))),
inference(forward_demodulation,[],[f801,f487]) ).
fof(f487,plain,
! [X4] : not(not(X4)) = X4,
inference(forward_demodulation,[],[f486,f1]) ).
fof(f486,plain,
! [X4] : not(not(X4)) = implies(truth,X4),
inference(forward_demodulation,[],[f463,f97]) ).
fof(f463,plain,
! [X4] : not(not(X4)) = implies(not(falsehood),X4),
inference(superposition,[],[f442,f24]) ).
fof(f442,plain,
! [X4] : implies(X4,falsehood) = not(X4),
inference(forward_demodulation,[],[f441,f1]) ).
fof(f441,plain,
! [X4] : implies(implies(truth,X4),falsehood) = not(X4),
inference(forward_demodulation,[],[f425,f97]) ).
fof(f425,plain,
! [X4] : implies(implies(not(falsehood),X4),falsehood) = not(X4),
inference(superposition,[],[f414,f24]) ).
fof(f414,plain,
! [X6] : implies(implies(X6,falsehood),falsehood) = X6,
inference(forward_demodulation,[],[f408,f1]) ).
fof(f408,plain,
! [X6] : implies(truth,X6) = implies(implies(X6,falsehood),falsehood),
inference(superposition,[],[f3,f369]) ).
fof(f369,plain,
! [X0] : truth = implies(falsehood,X0),
inference(backward_demodulation,[],[f29,f339]) ).
fof(f339,plain,
! [X4] : truth = implies(X4,truth),
inference(superposition,[],[f170,f178]) ).
fof(f178,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(backward_demodulation,[],[f35,f122]) ).
fof(f170,plain,
! [X2,X3] : truth = implies(X2,implies(implies(X2,X3),X3)),
inference(forward_demodulation,[],[f124,f1]) ).
fof(f124,plain,
! [X2,X3] : truth = implies(X2,implies(implies(X2,X3),implies(truth,X3))),
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(f29,plain,
! [X0] : implies(falsehood,X0) = implies(not(X0),truth),
inference(superposition,[],[f24,f16]) ).
fof(f801,plain,
falsehood != not(implies(not(not(x)),not(not(not(not(x)))))),
inference(forward_demodulation,[],[f800,f1]) ).
fof(f800,plain,
falsehood != not(implies(not(not(x)),not(implies(truth,not(not(not(x))))))),
inference(forward_demodulation,[],[f799,f530]) ).
fof(f530,plain,
! [X0,X1] : not(implies(X0,not(X1))) = not(implies(X1,not(X0))),
inference(forward_demodulation,[],[f529,f487]) ).
fof(f529,plain,
! [X0,X1] : not(implies(X0,not(X1))) = not(implies(not(not(X1)),not(X0))),
inference(forward_demodulation,[],[f25,f487]) ).
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(f799,plain,
falsehood != not(implies(not(not(x)),not(implies(not(not(x)),not(truth))))),
inference(forward_demodulation,[],[f798,f339]) ).
fof(f798,plain,
falsehood != not(implies(not(not(x)),not(implies(not(not(x)),not(implies(x,truth)))))),
inference(forward_demodulation,[],[f797,f530]) ).
fof(f797,plain,
falsehood != not(implies(not(not(x)),not(implies(implies(x,truth),not(not(not(x))))))),
inference(forward_demodulation,[],[f796,f1]) ).
fof(f796,plain,
falsehood != not(implies(not(not(x)),not(implies(implies(x,truth),not(implies(truth,not(not(x)))))))),
inference(forward_demodulation,[],[f795,f530]) ).
fof(f795,plain,
falsehood != not(implies(not(not(x)),not(implies(implies(truth,not(not(x))),not(implies(x,truth)))))),
inference(forward_demodulation,[],[f794,f487]) ).
fof(f794,plain,
falsehood != not(implies(not(not(x)),not(implies(implies(truth,not(not(x))),not(implies(x,not(not(truth)))))))),
inference(forward_demodulation,[],[f793,f530]) ).
fof(f793,plain,
falsehood != not(implies(not(not(x)),not(implies(implies(x,not(not(truth))),not(implies(truth,not(not(x)))))))),
inference(forward_demodulation,[],[f792,f530]) ).
fof(f792,plain,
falsehood != not(implies(not(not(x)),not(implies(implies(x,not(not(truth))),not(implies(not(x),not(truth))))))),
inference(forward_demodulation,[],[f791,f487]) ).
fof(f791,plain,
falsehood != not(implies(not(not(x)),not(implies(implies(x,not(not(not(not(truth))))),not(implies(not(x),not(not(not(truth))))))))),
inference(forward_demodulation,[],[f790,f530]) ).
fof(f790,plain,
falsehood != not(implies(not(not(x)),not(implies(implies(x,not(not(not(not(truth))))),not(implies(not(not(truth)),not(not(x)))))))),
inference(forward_demodulation,[],[f789,f530]) ).
fof(f789,plain,
falsehood != not(implies(not(not(x)),not(implies(implies(not(not(truth)),not(not(x))),not(implies(x,not(not(not(not(truth)))))))))),
inference(forward_demodulation,[],[f788,f530]) ).
fof(f788,plain,
falsehood != not(implies(not(not(x)),not(implies(implies(not(not(truth)),not(not(x))),not(implies(not(not(not(truth))),not(x))))))),
inference(forward_demodulation,[],[f787,f530]) ).
fof(f787,plain,
falsehood != not(implies(not(not(x)),not(implies(implies(not(not(not(truth))),not(x)),not(implies(not(not(truth)),not(not(x)))))))),
inference(forward_demodulation,[],[f786,f487]) ).
fof(f786,plain,
falsehood != not(implies(not(not(x)),not(implies(implies(not(not(not(truth))),not(x)),not(not(not(implies(not(not(truth)),not(not(x)))))))))),
inference(forward_demodulation,[],[f785,f530]) ).
fof(f785,plain,
falsehood != not(implies(not(not(x)),not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x))))))),
inference(forward_demodulation,[],[f21,f24]) ).
fof(f21,plain,
falsehood != not(implies(not(not(implies(not(not(implies(not(not(truth)),not(not(x))))),not(implies(not(not(not(truth))),not(x)))))),not(x))),
inference(definition_unfolding,[],[f17,f20,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 != and_star(xor(truth,x),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL158-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 01:38:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (15869)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 % (15861)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.48 % (15861)Instruction limit reached!
% 0.19/0.48 % (15861)------------------------------
% 0.19/0.48 % (15861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (15861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (15861)Termination reason: Unknown
% 0.19/0.48 % (15861)Termination phase: Function definition elimination
% 0.19/0.48
% 0.19/0.48 % (15861)Memory used [KB]: 895
% 0.19/0.48 % (15861)Time elapsed: 0.002 s
% 0.19/0.48 % (15861)Instructions burned: 2 (million)
% 0.19/0.48 % (15861)------------------------------
% 0.19/0.48 % (15861)------------------------------
% 0.19/0.50 % (15865)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (15863)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (15866)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 % (15853)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)
% 1.33/0.52 % (15876)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)
% 1.33/0.52 % (15856)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)
% 1.33/0.52 % (15857)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.52 % (15867)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)
% 1.33/0.52 % (15855)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)
% 1.33/0.52 % (15877)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.33/0.52 % (15858)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)
% 1.33/0.53 % (15864)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)
% 1.33/0.53 % (15869)First to succeed.
% 1.33/0.53 % (15859)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)
% 1.33/0.53 % (15860)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.33/0.53 % (15862)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)
% 1.48/0.53 % (15882)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)
% 1.48/0.53 % (15881)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.48/0.53 % (15869)Refutation found. Thanks to Tanya!
% 1.48/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.48/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.48/0.54 % (15869)------------------------------
% 1.48/0.54 % (15869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.54 % (15869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.54 % (15869)Termination reason: Refutation
% 1.48/0.54
% 1.48/0.54 % (15869)Memory used [KB]: 5884
% 1.48/0.54 % (15869)Time elapsed: 0.120 s
% 1.48/0.54 % (15869)Instructions burned: 34 (million)
% 1.48/0.54 % (15869)------------------------------
% 1.48/0.54 % (15869)------------------------------
% 1.48/0.54 % (15852)Success in time 0.189 s
%------------------------------------------------------------------------------