TSTP Solution File: REL050-2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : REL050-2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 : Fri May 3 02:56:53 EDT 2024
% Result : Unsatisfiable 10.63s 2.20s
% Output : CNFRefutation 10.63s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( join(composition(complement(composition(sk1,top)),top),complement(composition(sk1,top))) != complement(composition(sk1,top))
| join(complement(composition(sk1,top)),composition(complement(composition(sk1,top)),top)) != composition(complement(composition(sk1,top)),top) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
cnf(c_50,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
cnf(c_51,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).
cnf(c_52,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).
cnf(c_53,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).
cnf(c_54,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).
cnf(c_55,plain,
composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
cnf(c_56,plain,
join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).
cnf(c_57,plain,
converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
cnf(c_58,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
cnf(c_59,plain,
composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).
cnf(c_60,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_cancellativity_11) ).
cnf(c_61,plain,
join(X0,complement(X0)) = top,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_top_12) ).
cnf(c_62,plain,
meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
cnf(c_76,negated_conjecture,
( join(complement(composition(sk1,top)),composition(complement(composition(sk1,top)),top)) != composition(complement(composition(sk1,top)),top)
| join(complement(composition(sk1,top)),composition(complement(composition(sk1,top)),top)) != complement(composition(sk1,top)) ),
inference(theory_normalisation,[status(thm)],[c_49,c_51,c_50]) ).
cnf(c_77,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_52,c_51,c_50]) ).
cnf(c_78,plain,
join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_60,c_51,c_50]) ).
cnf(c_111,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_77,c_53]) ).
cnf(c_112,plain,
join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_111,c_51,c_50]) ).
cnf(c_123,plain,
composition(sk1,top) = sP0_iProver_def,
definition ).
cnf(c_124,plain,
complement(sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_125,plain,
composition(sP1_iProver_def,top) = sP2_iProver_def,
definition ).
cnf(c_126,plain,
join(sP1_iProver_def,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_127,negated_conjecture,
( sP3_iProver_def != sP1_iProver_def
| sP3_iProver_def != sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_76,c_125,c_123,c_124,c_126]) ).
cnf(c_210,plain,
join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_51,c_50]) ).
cnf(c_215,plain,
join(sP0_iProver_def,sP1_iProver_def) = top,
inference(superposition,[status(thm)],[c_124,c_61]) ).
cnf(c_216,plain,
join(sP1_iProver_def,composition(converse(X0),complement(composition(X0,sP0_iProver_def)))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_124,c_78]) ).
cnf(c_217,plain,
join(complement(X0),composition(X1,complement(composition(converse(X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_57,c_78]) ).
cnf(c_218,plain,
join(complement(top),composition(converse(sk1),complement(sP0_iProver_def))) = complement(top),
inference(superposition,[status(thm)],[c_123,c_78]) ).
cnf(c_221,plain,
join(complement(top),composition(converse(sk1),sP1_iProver_def)) = complement(top),
inference(light_normalisation,[status(thm)],[c_218,c_124]) ).
cnf(c_225,plain,
meet(sP0_iProver_def,sP1_iProver_def) = zero,
inference(superposition,[status(thm)],[c_124,c_62]) ).
cnf(c_226,plain,
complement(join(complement(X0),complement(X1))) = meet(X1,X0),
inference(superposition,[status(thm)],[c_50,c_53]) ).
cnf(c_228,plain,
meet(X0,complement(X0)) = complement(top),
inference(superposition,[status(thm)],[c_61,c_53]) ).
cnf(c_230,plain,
complement(join(sP1_iProver_def,complement(X0))) = meet(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_124,c_53]) ).
cnf(c_232,plain,
complement(join(complement(X0),sP1_iProver_def)) = meet(X0,sP0_iProver_def),
inference(superposition,[status(thm)],[c_124,c_53]) ).
cnf(c_238,plain,
complement(top) = zero,
inference(light_normalisation,[status(thm)],[c_228,c_62]) ).
cnf(c_239,plain,
complement(join(sP1_iProver_def,complement(X0))) = meet(X0,sP0_iProver_def),
inference(theory_normalisation,[status(thm)],[c_232,c_51,c_50]) ).
cnf(c_251,plain,
converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_57,c_58]) ).
cnf(c_258,plain,
join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
inference(superposition,[status(thm)],[c_238,c_78]) ).
cnf(c_259,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_238,c_61]) ).
cnf(c_269,plain,
complement(join(sP1_iProver_def,sP1_iProver_def)) = meet(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_124,c_230]) ).
cnf(c_321,plain,
join(join(sP1_iProver_def,sP1_iProver_def),meet(sP0_iProver_def,sP0_iProver_def)) = top,
inference(superposition,[status(thm)],[c_269,c_61]) ).
cnf(c_323,plain,
join(sP1_iProver_def,join(sP1_iProver_def,meet(sP0_iProver_def,sP0_iProver_def))) = top,
inference(theory_normalisation,[status(thm)],[c_321,c_51,c_50]) ).
cnf(c_346,plain,
meet(X0,sP0_iProver_def) = meet(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_239,c_230]) ).
cnf(c_388,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_62,c_112]) ).
cnf(c_389,plain,
join(zero,complement(join(complement(sP0_iProver_def),sP1_iProver_def))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_225,c_112]) ).
cnf(c_390,plain,
join(meet(X0,sP0_iProver_def),complement(join(complement(sP0_iProver_def),X0))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_346,c_112]) ).
cnf(c_393,plain,
join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_53,c_112]) ).
cnf(c_396,plain,
join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_61,c_112]) ).
cnf(c_407,plain,
join(zero,complement(join(sP1_iProver_def,complement(sP0_iProver_def)))) = sP0_iProver_def,
inference(theory_normalisation,[status(thm)],[c_389,c_51,c_50]) ).
cnf(c_408,plain,
join(zero,meet(sP0_iProver_def,sP0_iProver_def)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_407,c_124,c_269]) ).
cnf(c_409,plain,
join(complement(top),meet(X0,complement(complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_396,c_51,c_50]) ).
cnf(c_410,plain,
join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_409,c_238]) ).
cnf(c_411,plain,
join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_393,c_51,c_50]) ).
cnf(c_413,plain,
join(meet(X0,sP0_iProver_def),complement(join(sP1_iProver_def,X0))) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_390,c_124]) ).
cnf(c_464,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_57,c_59]) ).
cnf(c_475,plain,
join(sP0_iProver_def,join(sP1_iProver_def,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_215,c_51]) ).
cnf(c_476,plain,
join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_259,c_51]) ).
cnf(c_477,plain,
join(X0,join(X1,complement(join(X0,X1)))) = top,
inference(superposition,[status(thm)],[c_51,c_61]) ).
cnf(c_503,plain,
composition(sk1,composition(top,X0)) = composition(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_123,c_54]) ).
cnf(c_504,plain,
composition(X0,composition(one,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_55,c_54]) ).
cnf(c_537,plain,
composition(join(sP1_iProver_def,X0),top) = join(sP2_iProver_def,composition(X0,top)),
inference(superposition,[status(thm)],[c_125,c_56]) ).
cnf(c_810,plain,
join(X0,join(X1,complement(X0))) = join(X1,top),
inference(superposition,[status(thm)],[c_61,c_210]) ).
cnf(c_814,plain,
join(sP0_iProver_def,join(X0,sP1_iProver_def)) = join(X0,top),
inference(superposition,[status(thm)],[c_215,c_210]) ).
cnf(c_879,plain,
join(zero,meet(top,complement(zero))) = top,
inference(superposition,[status(thm)],[c_238,c_410]) ).
cnf(c_961,plain,
join(sP0_iProver_def,join(X0,sP1_iProver_def)) = join(top,X0),
inference(superposition,[status(thm)],[c_50,c_475]) ).
cnf(c_1026,plain,
join(top,meet(sP0_iProver_def,sP0_iProver_def)) = join(top,sP0_iProver_def),
inference(superposition,[status(thm)],[c_408,c_476]) ).
cnf(c_1034,plain,
join(top,meet(sP0_iProver_def,sP0_iProver_def)) = join(sP0_iProver_def,top),
inference(theory_normalisation,[status(thm)],[c_1026,c_51,c_50]) ).
cnf(c_1093,plain,
join(sP1_iProver_def,composition(X0,complement(composition(converse(X0),sP0_iProver_def)))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_57,c_216]) ).
cnf(c_1176,plain,
join(sP0_iProver_def,join(sP1_iProver_def,X0)) = join(X0,top),
inference(superposition,[status(thm)],[c_50,c_814]) ).
cnf(c_1348,plain,
join(join(sP1_iProver_def,meet(sP0_iProver_def,sP0_iProver_def)),top) = join(sP0_iProver_def,top),
inference(superposition,[status(thm)],[c_323,c_1176]) ).
cnf(c_1366,plain,
join(sP1_iProver_def,join(top,meet(sP0_iProver_def,sP0_iProver_def))) = join(sP0_iProver_def,top),
inference(theory_normalisation,[status(thm)],[c_1348,c_51,c_50]) ).
cnf(c_1367,plain,
join(sP1_iProver_def,join(sP0_iProver_def,top)) = join(sP0_iProver_def,top),
inference(light_normalisation,[status(thm)],[c_1366,c_1034]) ).
cnf(c_1368,plain,
join(sP0_iProver_def,join(sP1_iProver_def,top)) = join(sP0_iProver_def,top),
inference(theory_normalisation,[status(thm)],[c_1367,c_51,c_50]) ).
cnf(c_1406,plain,
join(top,top) = join(sP0_iProver_def,top),
inference(demodulation,[status(thm)],[c_1368,c_1176]) ).
cnf(c_1480,plain,
join(zero,composition(converse(sk1),sP1_iProver_def)) = zero,
inference(light_normalisation,[status(thm)],[c_221,c_238]) ).
cnf(c_1537,plain,
meet(X0,X1) = meet(X1,X0),
inference(superposition,[status(thm)],[c_226,c_53]) ).
cnf(c_1994,plain,
join(zero,meet(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_388,c_226]) ).
cnf(c_2001,plain,
join(top,meet(X0,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_1994,c_476]) ).
cnf(c_2222,plain,
join(meet(X0,top),meet(X0,zero)) = X0,
inference(superposition,[status(thm)],[c_238,c_411]) ).
cnf(c_2223,plain,
join(meet(X0,sP0_iProver_def),meet(X0,sP1_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_124,c_411]) ).
cnf(c_2299,plain,
join(meet(top,X0),meet(X0,zero)) = X0,
inference(superposition,[status(thm)],[c_1537,c_2222]) ).
cnf(c_2315,plain,
join(meet(X0,sP0_iProver_def),meet(sP1_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_1537,c_2223]) ).
cnf(c_2383,plain,
join(meet(complement(sP1_iProver_def),sP0_iProver_def),complement(top)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_61,c_413]) ).
cnf(c_2401,plain,
join(complement(top),meet(complement(sP1_iProver_def),sP0_iProver_def)) = sP0_iProver_def,
inference(theory_normalisation,[status(thm)],[c_2383,c_51,c_50]) ).
cnf(c_2402,plain,
join(zero,meet(complement(sP1_iProver_def),sP0_iProver_def)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_2401,c_238]) ).
cnf(c_2541,plain,
join(meet(top,X0),meet(zero,X0)) = X0,
inference(superposition,[status(thm)],[c_1537,c_2299]) ).
cnf(c_2615,plain,
join(meet(complement(sP1_iProver_def),sP0_iProver_def),zero) = complement(sP1_iProver_def),
inference(superposition,[status(thm)],[c_62,c_2315]) ).
cnf(c_2622,plain,
join(zero,meet(complement(sP1_iProver_def),sP0_iProver_def)) = complement(sP1_iProver_def),
inference(theory_normalisation,[status(thm)],[c_2615,c_51,c_50]) ).
cnf(c_2623,plain,
complement(sP1_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_2622,c_2402]) ).
cnf(c_2662,plain,
join(meet(sP1_iProver_def,X0),complement(join(sP0_iProver_def,X0))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2623,c_112]) ).
cnf(c_2671,plain,
complement(join(complement(X0),sP0_iProver_def)) = meet(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_2623,c_53]) ).
cnf(c_2680,plain,
complement(join(sP0_iProver_def,complement(X0))) = meet(X0,sP1_iProver_def),
inference(theory_normalisation,[status(thm)],[c_2671,c_51,c_50]) ).
cnf(c_2756,plain,
join(meet(top,complement(zero)),zero) = complement(zero),
inference(superposition,[status(thm)],[c_62,c_2541]) ).
cnf(c_2761,plain,
join(zero,meet(top,complement(zero))) = complement(zero),
inference(theory_normalisation,[status(thm)],[c_2756,c_51,c_50]) ).
cnf(c_2762,plain,
complement(zero) = top,
inference(light_normalisation,[status(thm)],[c_2761,c_879]) ).
cnf(c_3051,plain,
complement(join(complement(X0),top)) = meet(X0,zero),
inference(superposition,[status(thm)],[c_2762,c_53]) ).
cnf(c_3058,plain,
complement(join(top,complement(X0))) = meet(X0,zero),
inference(theory_normalisation,[status(thm)],[c_3051,c_51,c_50]) ).
cnf(c_3256,plain,
complement(join(sP0_iProver_def,top)) = meet(zero,sP1_iProver_def),
inference(superposition,[status(thm)],[c_2762,c_2680]) ).
cnf(c_3528,plain,
complement(join(sP0_iProver_def,top)) = meet(sP1_iProver_def,zero),
inference(demodulation,[status(thm)],[c_3256,c_1537]) ).
cnf(c_3546,plain,
join(join(sP0_iProver_def,top),meet(sP1_iProver_def,zero)) = top,
inference(superposition,[status(thm)],[c_3528,c_61]) ).
cnf(c_3551,plain,
join(sP0_iProver_def,join(top,meet(sP1_iProver_def,zero))) = top,
inference(theory_normalisation,[status(thm)],[c_3546,c_51,c_50]) ).
cnf(c_3784,plain,
complement(join(top,top)) = meet(zero,zero),
inference(superposition,[status(thm)],[c_2762,c_3058]) ).
cnf(c_3814,plain,
meet(zero,zero) = meet(sP1_iProver_def,zero),
inference(light_normalisation,[status(thm)],[c_3784,c_1406,c_3528]) ).
cnf(c_4055,plain,
join(top,meet(sP1_iProver_def,zero)) = join(top,zero),
inference(superposition,[status(thm)],[c_3814,c_2001]) ).
cnf(c_4056,plain,
join(zero,meet(sP1_iProver_def,zero)) = zero,
inference(superposition,[status(thm)],[c_3814,c_1994]) ).
cnf(c_4079,plain,
join(top,meet(sP1_iProver_def,zero)) = top,
inference(light_normalisation,[status(thm)],[c_4055,c_259]) ).
cnf(c_4315,plain,
join(sP0_iProver_def,top) = top,
inference(light_normalisation,[status(thm)],[c_3551,c_4079]) ).
cnf(c_4318,plain,
meet(sP1_iProver_def,zero) = complement(top),
inference(demodulation,[status(thm)],[c_3528,c_4315]) ).
cnf(c_4320,plain,
meet(sP1_iProver_def,zero) = zero,
inference(light_normalisation,[status(thm)],[c_4318,c_238]) ).
cnf(c_4322,plain,
join(zero,zero) = zero,
inference(demodulation,[status(thm)],[c_4056,c_4320]) ).
cnf(c_4365,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_4322,c_51]) ).
cnf(c_5086,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_1994,c_4365]) ).
cnf(c_5099,plain,
composition(converse(sk1),sP1_iProver_def) = zero,
inference(demodulation,[status(thm)],[c_1480,c_5086]) ).
cnf(c_5102,plain,
meet(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_1994,c_5086]) ).
cnf(c_5144,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_55,c_464]) ).
cnf(c_5168,plain,
composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_5144,c_57]) ).
cnf(c_5229,plain,
join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_5086,c_50]) ).
cnf(c_5236,plain,
join(converse(zero),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_5086,c_251]) ).
cnf(c_5249,plain,
join(converse(zero),X0) = X0,
inference(light_normalisation,[status(thm)],[c_5236,c_57]) ).
cnf(c_5394,plain,
composition(converse(sP1_iProver_def),sk1) = converse(zero),
inference(superposition,[status(thm)],[c_5099,c_464]) ).
cnf(c_5531,plain,
converse(one) = one,
inference(superposition,[status(thm)],[c_5168,c_55]) ).
cnf(c_5545,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_5168,c_504]) ).
cnf(c_5548,plain,
composition(one,X0) = X0,
inference(light_normalisation,[status(thm)],[c_5545,c_5168]) ).
cnf(c_5660,plain,
join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(superposition,[status(thm)],[c_5548,c_56]) ).
cnf(c_5665,plain,
join(complement(X0),complement(composition(converse(one),X0))) = complement(X0),
inference(superposition,[status(thm)],[c_5548,c_217]) ).
cnf(c_5670,plain,
join(complement(X0),complement(X0)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_5665,c_5531,c_5548]) ).
cnf(c_5825,plain,
converse(zero) = zero,
inference(superposition,[status(thm)],[c_5249,c_5229]) ).
cnf(c_6414,plain,
composition(converse(X0),complement(composition(X0,top))) = zero,
inference(demodulation,[status(thm)],[c_258,c_5086]) ).
cnf(c_6415,plain,
composition(X0,complement(composition(converse(X0),top))) = zero,
inference(superposition,[status(thm)],[c_57,c_6414]) ).
cnf(c_6434,plain,
composition(converse(complement(composition(X0,top))),X0) = converse(zero),
inference(superposition,[status(thm)],[c_6414,c_464]) ).
cnf(c_6440,plain,
composition(converse(complement(composition(X0,top))),X0) = zero,
inference(light_normalisation,[status(thm)],[c_6434,c_5825]) ).
cnf(c_7124,plain,
composition(converse(sP1_iProver_def),sk1) = zero,
inference(light_normalisation,[status(thm)],[c_5394,c_5825]) ).
cnf(c_7126,plain,
composition(converse(sP1_iProver_def),composition(sk1,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_7124,c_54]) ).
cnf(c_8321,plain,
meet(X0,X0) = complement(complement(X0)),
inference(superposition,[status(thm)],[c_5670,c_226]) ).
cnf(c_8327,plain,
complement(complement(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_8321,c_5102]) ).
cnf(c_8370,plain,
join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_8327,c_5670]) ).
cnf(c_8691,plain,
join(X0,join(X0,complement(X0))) = top,
inference(superposition,[status(thm)],[c_8370,c_477]) ).
cnf(c_8739,plain,
join(X0,top) = top,
inference(light_normalisation,[status(thm)],[c_8691,c_61]) ).
cnf(c_8754,plain,
join(sP0_iProver_def,join(X0,sP1_iProver_def)) = top,
inference(demodulation,[status(thm)],[c_814,c_8739]) ).
cnf(c_8757,plain,
join(top,X0) = top,
inference(demodulation,[status(thm)],[c_961,c_8754]) ).
cnf(c_9930,plain,
join(X0,join(X1,complement(X0))) = top,
inference(demodulation,[status(thm)],[c_810,c_8739]) ).
cnf(c_9941,plain,
join(X0,join(X1,join(X2,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_51,c_9930]) ).
cnf(c_9963,plain,
join(meet(X0,join(X1,complement(complement(X0)))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_9930,c_112]) ).
cnf(c_10011,plain,
join(complement(top),meet(X0,join(X1,complement(complement(X0))))) = X0,
inference(theory_normalisation,[status(thm)],[c_9963,c_51,c_50]) ).
cnf(c_10012,plain,
join(zero,meet(X0,join(X1,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_10011,c_238,c_8327]) ).
cnf(c_11257,plain,
composition(complement(composition(top,top)),complement(zero)) = zero,
inference(superposition,[status(thm)],[c_6440,c_6415]) ).
cnf(c_11263,plain,
composition(complement(composition(top,top)),top) = zero,
inference(light_normalisation,[status(thm)],[c_11257,c_2762]) ).
cnf(c_12284,plain,
meet(X0,join(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_10012,c_5086]) ).
cnf(c_12297,plain,
meet(sP2_iProver_def,sP3_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_126,c_12284]) ).
cnf(c_13048,plain,
composition(converse(sP1_iProver_def),sP0_iProver_def) = composition(zero,top),
inference(superposition,[status(thm)],[c_123,c_7126]) ).
cnf(c_21719,plain,
composition(join(one,X0),top) = top,
inference(superposition,[status(thm)],[c_5660,c_8757]) ).
cnf(c_22010,plain,
composition(top,top) = top,
inference(superposition,[status(thm)],[c_9941,c_21719]) ).
cnf(c_22040,plain,
composition(complement(top),top) = zero,
inference(demodulation,[status(thm)],[c_11263,c_22010]) ).
cnf(c_22047,plain,
composition(zero,top) = zero,
inference(light_normalisation,[status(thm)],[c_22040,c_238]) ).
cnf(c_22048,plain,
composition(converse(sP1_iProver_def),sP0_iProver_def) = zero,
inference(demodulation,[status(thm)],[c_13048,c_22047]) ).
cnf(c_22084,plain,
composition(sk1,top) = composition(sP0_iProver_def,top),
inference(superposition,[status(thm)],[c_22010,c_503]) ).
cnf(c_22085,plain,
composition(sP0_iProver_def,top) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_22084,c_123]) ).
cnf(c_22170,plain,
composition(join(sP1_iProver_def,sP0_iProver_def),top) = join(sP2_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_22085,c_537]) ).
cnf(c_22178,plain,
composition(join(sP0_iProver_def,sP1_iProver_def),top) = join(sP0_iProver_def,sP2_iProver_def),
inference(theory_normalisation,[status(thm)],[c_22170,c_51,c_50]) ).
cnf(c_22179,plain,
join(sP0_iProver_def,sP2_iProver_def) = top,
inference(light_normalisation,[status(thm)],[c_22178,c_215,c_22010]) ).
cnf(c_22903,plain,
join(sP1_iProver_def,composition(sP1_iProver_def,complement(zero))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_22048,c_1093]) ).
cnf(c_22905,plain,
sP1_iProver_def = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_22903,c_125,c_126,c_2762]) ).
cnf(c_22941,plain,
meet(sP2_iProver_def,sP1_iProver_def) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_12297,c_22905]) ).
cnf(c_22966,plain,
( sP1_iProver_def != sP1_iProver_def
| sP1_iProver_def != sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_127,c_22905]) ).
cnf(c_22967,plain,
sP1_iProver_def != sP2_iProver_def,
inference(equality_resolution_simp,[status(thm)],[c_22966]) ).
cnf(c_23002,plain,
meet(sP1_iProver_def,sP2_iProver_def) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_22941,c_1537]) ).
cnf(c_23012,plain,
join(sP2_iProver_def,complement(join(sP0_iProver_def,sP2_iProver_def))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_23002,c_2662]) ).
cnf(c_23018,plain,
join(sP2_iProver_def,zero) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_23012,c_238,c_22179]) ).
cnf(c_23055,plain,
sP1_iProver_def = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_23018,c_5229]) ).
cnf(c_23056,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_23055,c_22967]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : REL050-2 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n025.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 : Thu May 2 20:09:28 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 10.63/2.20 % SZS status Started for theBenchmark.p
% 10.63/2.20 % SZS status Unsatisfiable for theBenchmark.p
% 10.63/2.20
% 10.63/2.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.63/2.20
% 10.63/2.20 ------ iProver source info
% 10.63/2.20
% 10.63/2.20 git: date: 2024-05-02 19:28:25 +0000
% 10.63/2.20 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.63/2.20 git: non_committed_changes: false
% 10.63/2.20
% 10.63/2.20 ------ Parsing...successful
% 10.63/2.20
% 10.63/2.20
% 10.63/2.20
% 10.63/2.20 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 10.63/2.20
% 10.63/2.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.63/2.20
% 10.63/2.20 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.63/2.20 ------ Proving...
% 10.63/2.20 ------ Problem Properties
% 10.63/2.20
% 10.63/2.20
% 10.63/2.20 clauses 18
% 10.63/2.20 conjectures 1
% 10.63/2.20 EPR 1
% 10.63/2.20 Horn 18
% 10.63/2.20 unary 17
% 10.63/2.20 binary 1
% 10.63/2.20 lits 19
% 10.63/2.20 lits eq 19
% 10.63/2.20 fd_pure 0
% 10.63/2.20 fd_pseudo 0
% 10.63/2.20 fd_cond 0
% 10.63/2.20 fd_pseudo_cond 0
% 10.63/2.20 AC symbols 1
% 10.63/2.20
% 10.63/2.20 ------ Schedule dynamic 5 is on
% 10.63/2.20
% 10.63/2.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.63/2.20
% 10.63/2.20
% 10.63/2.20 ------
% 10.63/2.20 Current options:
% 10.63/2.20 ------
% 10.63/2.20
% 10.63/2.20
% 10.63/2.20
% 10.63/2.20
% 10.63/2.20 ------ Proving...
% 10.63/2.20
% 10.63/2.20
% 10.63/2.20 % SZS status Unsatisfiable for theBenchmark.p
% 10.63/2.20
% 10.63/2.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.63/2.20
% 10.63/2.21
%------------------------------------------------------------------------------