TSTP Solution File: REL050-2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : REL050-2 : TPTP v8.2.0. 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 : Mon Jun 24 13:56:23 EDT 2024
% Result : Unsatisfiable 8.15s 1.64s
% Output : CNFRefutation 8.15s
% 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/sandbox2/benchmark/theBenchmark.p',goals_14) ).
cnf(c_50,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).
cnf(c_55,plain,
composition(X0,one) = X0,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).
cnf(c_57,plain,
converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
cnf(c_58,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
cnf(c_59,plain,
composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/REL001-0.ax',converse_cancellativity_11) ).
cnf(c_61,plain,
join(X0,complement(X0)) = top,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_top_12) ).
cnf(c_62,plain,
meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox2/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(demodulation,[status(thm)],[c_111,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_238,plain,
complement(top) = zero,
inference(light_normalisation,[status(thm)],[c_228,c_62]) ).
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_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_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_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_533,plain,
composition(join(sk1,X0),top) = join(sP0_iProver_def,composition(X0,top)),
inference(superposition,[status(thm)],[c_123,c_56]) ).
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_880,plain,
join(zero,meet(sP0_iProver_def,complement(sP1_iProver_def))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_124,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_1174,plain,
join(sP0_iProver_def,join(sP1_iProver_def,X0)) = join(X0,top),
inference(superposition,[status(thm)],[c_50,c_814]) ).
cnf(c_1335,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_1174]) ).
cnf(c_1352,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_1335,c_51,c_50]) ).
cnf(c_1353,plain,
join(sP1_iProver_def,join(sP0_iProver_def,top)) = join(sP0_iProver_def,top),
inference(light_normalisation,[status(thm)],[c_1352,c_1034]) ).
cnf(c_1354,plain,
join(sP0_iProver_def,join(sP1_iProver_def,top)) = join(sP0_iProver_def,top),
inference(theory_normalisation,[status(thm)],[c_1353,c_51,c_50]) ).
cnf(c_1392,plain,
join(top,top) = join(sP0_iProver_def,top),
inference(demodulation,[status(thm)],[c_1354,c_1174]) ).
cnf(c_1466,plain,
join(zero,composition(converse(sk1),sP1_iProver_def)) = zero,
inference(light_normalisation,[status(thm)],[c_221,c_238]) ).
cnf(c_1517,plain,
meet(X0,X1) = meet(X1,X0),
inference(superposition,[status(thm)],[c_226,c_53]) ).
cnf(c_1971,plain,
join(zero,meet(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_388,c_226]) ).
cnf(c_1978,plain,
join(top,meet(X0,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_1971,c_476]) ).
cnf(c_2197,plain,
join(meet(X0,top),meet(X0,zero)) = X0,
inference(superposition,[status(thm)],[c_238,c_411]) ).
cnf(c_2198,plain,
join(meet(X0,sP0_iProver_def),meet(X0,sP1_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_124,c_411]) ).
cnf(c_2274,plain,
join(meet(top,X0),meet(X0,zero)) = X0,
inference(superposition,[status(thm)],[c_1517,c_2197]) ).
cnf(c_2285,plain,
join(meet(sP0_iProver_def,X0),meet(X0,sP1_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_1517,c_2198]) ).
cnf(c_2512,plain,
join(meet(top,X0),meet(zero,X0)) = X0,
inference(superposition,[status(thm)],[c_1517,c_2274]) ).
cnf(c_2568,plain,
join(meet(sP0_iProver_def,X0),meet(sP1_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_1517,c_2285]) ).
cnf(c_2631,plain,
join(meet(top,complement(zero)),zero) = complement(zero),
inference(superposition,[status(thm)],[c_62,c_2512]) ).
cnf(c_2636,plain,
join(zero,meet(top,complement(zero))) = complement(zero),
inference(theory_normalisation,[status(thm)],[c_2631,c_51,c_50]) ).
cnf(c_2637,plain,
complement(zero) = top,
inference(light_normalisation,[status(thm)],[c_2636,c_879]) ).
cnf(c_2659,plain,
complement(join(complement(X0),top)) = meet(X0,zero),
inference(superposition,[status(thm)],[c_2637,c_53]) ).
cnf(c_2665,plain,
complement(join(top,complement(X0))) = meet(X0,zero),
inference(theory_normalisation,[status(thm)],[c_2659,c_51,c_50]) ).
cnf(c_2996,plain,
join(meet(sP0_iProver_def,complement(sP1_iProver_def)),zero) = complement(sP1_iProver_def),
inference(superposition,[status(thm)],[c_62,c_2568]) ).
cnf(c_3001,plain,
join(zero,meet(sP0_iProver_def,complement(sP1_iProver_def))) = complement(sP1_iProver_def),
inference(theory_normalisation,[status(thm)],[c_2996,c_51,c_50]) ).
cnf(c_3002,plain,
complement(sP1_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_3001,c_880]) ).
cnf(c_3018,plain,
join(meet(sP1_iProver_def,X0),complement(join(sP0_iProver_def,X0))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_3002,c_112]) ).
cnf(c_3028,plain,
complement(join(complement(X0),sP0_iProver_def)) = meet(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_3002,c_53]) ).
cnf(c_3037,plain,
complement(join(sP0_iProver_def,complement(X0))) = meet(X0,sP1_iProver_def),
inference(theory_normalisation,[status(thm)],[c_3028,c_51,c_50]) ).
cnf(c_3241,plain,
complement(join(top,sP0_iProver_def)) = meet(sP1_iProver_def,zero),
inference(superposition,[status(thm)],[c_3002,c_2665]) ).
cnf(c_3246,plain,
complement(join(top,top)) = meet(zero,zero),
inference(superposition,[status(thm)],[c_2637,c_2665]) ).
cnf(c_3271,plain,
complement(join(sP0_iProver_def,top)) = meet(zero,zero),
inference(light_normalisation,[status(thm)],[c_3246,c_1392]) ).
cnf(c_3272,plain,
complement(join(sP0_iProver_def,top)) = meet(sP1_iProver_def,zero),
inference(theory_normalisation,[status(thm)],[c_3241,c_51,c_50]) ).
cnf(c_3391,plain,
complement(join(sP0_iProver_def,top)) = meet(zero,sP1_iProver_def),
inference(superposition,[status(thm)],[c_2637,c_3037]) ).
cnf(c_3573,plain,
meet(zero,zero) = meet(zero,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_3271,c_3391]) ).
cnf(c_3574,plain,
meet(zero,zero) = meet(sP1_iProver_def,zero),
inference(demodulation,[status(thm)],[c_3573,c_1517]) ).
cnf(c_3577,plain,
join(top,meet(sP1_iProver_def,zero)) = join(top,zero),
inference(superposition,[status(thm)],[c_3574,c_1978]) ).
cnf(c_3578,plain,
join(zero,meet(sP1_iProver_def,zero)) = zero,
inference(superposition,[status(thm)],[c_3574,c_1971]) ).
cnf(c_3593,plain,
join(top,meet(sP1_iProver_def,zero)) = top,
inference(light_normalisation,[status(thm)],[c_3577,c_259]) ).
cnf(c_3646,plain,
join(join(sP0_iProver_def,top),meet(sP1_iProver_def,zero)) = top,
inference(superposition,[status(thm)],[c_3272,c_61]) ).
cnf(c_3651,plain,
join(sP0_iProver_def,join(top,meet(sP1_iProver_def,zero))) = top,
inference(theory_normalisation,[status(thm)],[c_3646,c_51,c_50]) ).
cnf(c_3652,plain,
join(sP0_iProver_def,top) = top,
inference(light_normalisation,[status(thm)],[c_3651,c_3593]) ).
cnf(c_3656,plain,
meet(sP1_iProver_def,zero) = complement(top),
inference(demodulation,[status(thm)],[c_3272,c_3652]) ).
cnf(c_3658,plain,
meet(sP1_iProver_def,zero) = zero,
inference(light_normalisation,[status(thm)],[c_3656,c_238]) ).
cnf(c_3660,plain,
join(zero,zero) = zero,
inference(demodulation,[status(thm)],[c_3578,c_3658]) ).
cnf(c_3766,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_3660,c_51]) ).
cnf(c_4439,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_1971,c_3766]) ).
cnf(c_4454,plain,
composition(converse(sk1),sP1_iProver_def) = zero,
inference(demodulation,[status(thm)],[c_1466,c_4439]) ).
cnf(c_4457,plain,
meet(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_1971,c_4439]) ).
cnf(c_4529,plain,
composition(converse(one),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_55,c_464]) ).
cnf(c_4553,plain,
composition(converse(one),X0) = X0,
inference(light_normalisation,[status(thm)],[c_4529,c_57]) ).
cnf(c_4574,plain,
converse(one) = one,
inference(superposition,[status(thm)],[c_4553,c_55]) ).
cnf(c_4588,plain,
composition(converse(one),X0) = composition(one,X0),
inference(superposition,[status(thm)],[c_4553,c_504]) ).
cnf(c_4590,plain,
composition(one,X0) = X0,
inference(light_normalisation,[status(thm)],[c_4588,c_4553]) ).
cnf(c_4651,plain,
join(converse(X0),one) = converse(join(X0,one)),
inference(superposition,[status(thm)],[c_4574,c_58]) ).
cnf(c_4654,plain,
join(one,converse(X0)) = converse(join(X0,one)),
inference(theory_normalisation,[status(thm)],[c_4651,c_51,c_50]) ).
cnf(c_4685,plain,
join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_4439,c_50]) ).
cnf(c_4692,plain,
join(converse(zero),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_4439,c_251]) ).
cnf(c_4703,plain,
join(converse(zero),X0) = X0,
inference(light_normalisation,[status(thm)],[c_4692,c_57]) ).
cnf(c_4798,plain,
join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(superposition,[status(thm)],[c_4590,c_56]) ).
cnf(c_4803,plain,
join(complement(X0),complement(composition(converse(one),X0))) = complement(X0),
inference(superposition,[status(thm)],[c_4590,c_217]) ).
cnf(c_4808,plain,
join(complement(X0),complement(X0)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_4803,c_4574,c_4590]) ).
cnf(c_4851,plain,
composition(converse(sP1_iProver_def),sk1) = converse(zero),
inference(superposition,[status(thm)],[c_4454,c_464]) ).
cnf(c_5710,plain,
converse(zero) = zero,
inference(superposition,[status(thm)],[c_4703,c_4685]) ).
cnf(c_5804,plain,
composition(converse(X0),complement(composition(X0,top))) = zero,
inference(demodulation,[status(thm)],[c_258,c_4439]) ).
cnf(c_5805,plain,
composition(X0,complement(composition(converse(X0),top))) = zero,
inference(superposition,[status(thm)],[c_57,c_5804]) ).
cnf(c_5824,plain,
composition(converse(complement(composition(X0,top))),X0) = converse(zero),
inference(superposition,[status(thm)],[c_5804,c_464]) ).
cnf(c_5830,plain,
composition(converse(complement(composition(X0,top))),X0) = zero,
inference(light_normalisation,[status(thm)],[c_5824,c_5710]) ).
cnf(c_6645,plain,
composition(converse(sP1_iProver_def),sk1) = zero,
inference(light_normalisation,[status(thm)],[c_4851,c_5710]) ).
cnf(c_6647,plain,
composition(converse(sP1_iProver_def),composition(sk1,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_6645,c_54]) ).
cnf(c_7862,plain,
meet(X0,X0) = complement(complement(X0)),
inference(superposition,[status(thm)],[c_4808,c_226]) ).
cnf(c_7868,plain,
complement(complement(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_7862,c_4457]) ).
cnf(c_7915,plain,
join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_7868,c_4808]) ).
cnf(c_8092,plain,
join(X0,join(X0,complement(X0))) = top,
inference(superposition,[status(thm)],[c_7915,c_477]) ).
cnf(c_8136,plain,
join(X0,top) = top,
inference(light_normalisation,[status(thm)],[c_8092,c_61]) ).
cnf(c_8149,plain,
join(sP0_iProver_def,join(X0,sP1_iProver_def)) = top,
inference(demodulation,[status(thm)],[c_814,c_8136]) ).
cnf(c_8152,plain,
join(top,X0) = top,
inference(demodulation,[status(thm)],[c_961,c_8149]) ).
cnf(c_9263,plain,
join(X0,join(X1,complement(X0))) = top,
inference(demodulation,[status(thm)],[c_810,c_8136]) ).
cnf(c_9274,plain,
join(X0,join(X1,join(X2,complement(X0)))) = top,
inference(superposition,[status(thm)],[c_51,c_9263]) ).
cnf(c_9296,plain,
join(meet(X0,join(X1,complement(complement(X0)))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_9263,c_112]) ).
cnf(c_9339,plain,
join(complement(top),meet(X0,join(X1,complement(complement(X0))))) = X0,
inference(theory_normalisation,[status(thm)],[c_9296,c_51,c_50]) ).
cnf(c_9340,plain,
join(zero,meet(X0,join(X1,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_9339,c_238,c_7868]) ).
cnf(c_10562,plain,
composition(complement(composition(top,top)),complement(zero)) = zero,
inference(superposition,[status(thm)],[c_5830,c_5805]) ).
cnf(c_10566,plain,
composition(complement(composition(top,top)),top) = zero,
inference(light_normalisation,[status(thm)],[c_10562,c_2637]) ).
cnf(c_10905,plain,
composition(converse(sP1_iProver_def),sP0_iProver_def) = composition(zero,top),
inference(superposition,[status(thm)],[c_123,c_6647]) ).
cnf(c_12354,plain,
meet(X0,join(X1,X0)) = X0,
inference(demodulation,[status(thm)],[c_9340,c_4439]) ).
cnf(c_12367,plain,
meet(sP2_iProver_def,sP3_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_126,c_12354]) ).
cnf(c_15265,plain,
composition(join(sk1,one),top) = join(sP0_iProver_def,top),
inference(superposition,[status(thm)],[c_4590,c_533]) ).
cnf(c_17906,plain,
composition(join(sk1,one),top) = top,
inference(demodulation,[status(thm)],[c_15265,c_8136]) ).
cnf(c_17917,plain,
composition(converse(join(sk1,one)),complement(top)) = zero,
inference(superposition,[status(thm)],[c_17906,c_5804]) ).
cnf(c_17918,plain,
composition(converse(join(sk1,one)),zero) = zero,
inference(light_normalisation,[status(thm)],[c_17917,c_238]) ).
cnf(c_17949,plain,
composition(join(one,converse(sk1)),zero) = zero,
inference(demodulation,[status(thm)],[c_17918,c_4654]) ).
cnf(c_20501,plain,
composition(join(one,X0),zero) = composition(X0,zero),
inference(superposition,[status(thm)],[c_4798,c_4439]) ).
cnf(c_20516,plain,
composition(join(one,X0),top) = top,
inference(superposition,[status(thm)],[c_4798,c_8152]) ).
cnf(c_20570,plain,
composition(converse(sk1),zero) = zero,
inference(demodulation,[status(thm)],[c_17949,c_20501]) ).
cnf(c_20829,plain,
composition(converse(zero),sk1) = converse(zero),
inference(superposition,[status(thm)],[c_20570,c_464]) ).
cnf(c_20832,plain,
composition(zero,sk1) = zero,
inference(light_normalisation,[status(thm)],[c_20829,c_5710]) ).
cnf(c_20857,plain,
composition(zero,composition(sk1,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_20832,c_54]) ).
cnf(c_21249,plain,
composition(zero,top) = composition(zero,sP0_iProver_def),
inference(superposition,[status(thm)],[c_123,c_20857]) ).
cnf(c_21265,plain,
composition(converse(sP1_iProver_def),sP0_iProver_def) = composition(zero,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_10905,c_21249]) ).
cnf(c_21384,plain,
composition(top,top) = top,
inference(superposition,[status(thm)],[c_9274,c_20516]) ).
cnf(c_21413,plain,
composition(complement(top),top) = zero,
inference(demodulation,[status(thm)],[c_10566,c_21384]) ).
cnf(c_21420,plain,
composition(zero,sP0_iProver_def) = zero,
inference(light_normalisation,[status(thm)],[c_21413,c_238,c_21249]) ).
cnf(c_21422,plain,
composition(converse(sP1_iProver_def),sP0_iProver_def) = zero,
inference(demodulation,[status(thm)],[c_21265,c_21420]) ).
cnf(c_21454,plain,
composition(sk1,top) = composition(sP0_iProver_def,top),
inference(superposition,[status(thm)],[c_21384,c_503]) ).
cnf(c_21455,plain,
composition(sP0_iProver_def,top) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_21454,c_123]) ).
cnf(c_21621,plain,
composition(join(sP1_iProver_def,sP0_iProver_def),top) = join(sP2_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_21455,c_537]) ).
cnf(c_21629,plain,
composition(join(sP0_iProver_def,sP1_iProver_def),top) = join(sP0_iProver_def,sP2_iProver_def),
inference(theory_normalisation,[status(thm)],[c_21621,c_51,c_50]) ).
cnf(c_21630,plain,
join(sP0_iProver_def,sP2_iProver_def) = top,
inference(light_normalisation,[status(thm)],[c_21629,c_215,c_21384]) ).
cnf(c_21786,plain,
join(sP1_iProver_def,composition(sP1_iProver_def,complement(zero))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_21422,c_1093]) ).
cnf(c_21788,plain,
sP1_iProver_def = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_21786,c_125,c_126,c_2637]) ).
cnf(c_21818,plain,
meet(sP2_iProver_def,sP1_iProver_def) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_12367,c_21788]) ).
cnf(c_21849,plain,
( sP1_iProver_def != sP1_iProver_def
| sP1_iProver_def != sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_127,c_21788]) ).
cnf(c_21850,plain,
sP1_iProver_def != sP2_iProver_def,
inference(equality_resolution_simp,[status(thm)],[c_21849]) ).
cnf(c_22473,plain,
meet(sP1_iProver_def,sP2_iProver_def) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_21818,c_1517]) ).
cnf(c_22482,plain,
join(sP2_iProver_def,complement(join(sP0_iProver_def,sP2_iProver_def))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_22473,c_3018]) ).
cnf(c_22488,plain,
join(sP2_iProver_def,zero) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_22482,c_238,c_21630]) ).
cnf(c_22537,plain,
sP1_iProver_def = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_22488,c_4685]) ).
cnf(c_22538,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_22537,c_21850]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : REL050-2 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun Jun 23 05:03:39 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.15/1.64 % SZS status Started for theBenchmark.p
% 8.15/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 8.15/1.64
% 8.15/1.64 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.15/1.64
% 8.15/1.64 ------ iProver source info
% 8.15/1.64
% 8.15/1.64 git: date: 2024-06-12 09:56:46 +0000
% 8.15/1.64 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 8.15/1.64 git: non_committed_changes: false
% 8.15/1.64
% 8.15/1.64 ------ Parsing...successful
% 8.15/1.64
% 8.15/1.64
% 8.15/1.64
% 8.15/1.64 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.15/1.64
% 8.15/1.64 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.15/1.64
% 8.15/1.64 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.15/1.64 ------ Proving...
% 8.15/1.64 ------ Problem Properties
% 8.15/1.64
% 8.15/1.64
% 8.15/1.64 clauses 18
% 8.15/1.64 conjectures 1
% 8.15/1.64 EPR 1
% 8.15/1.64 Horn 18
% 8.15/1.64 unary 17
% 8.15/1.64 binary 1
% 8.15/1.64 lits 19
% 8.15/1.64 lits eq 19
% 8.15/1.64 fd_pure 0
% 8.15/1.64 fd_pseudo 0
% 8.15/1.64 fd_cond 0
% 8.15/1.64 fd_pseudo_cond 0
% 8.15/1.64 AC symbols 1
% 8.15/1.64
% 8.15/1.64 ------ Schedule dynamic 5 is on
% 8.15/1.64
% 8.15/1.64 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.15/1.64
% 8.15/1.64
% 8.15/1.64 ------
% 8.15/1.64 Current options:
% 8.15/1.64 ------
% 8.15/1.64
% 8.15/1.64
% 8.15/1.64
% 8.15/1.64
% 8.15/1.64 ------ Proving...
% 8.15/1.64
% 8.15/1.64
% 8.15/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 8.15/1.64
% 8.15/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.15/1.64
% 8.15/1.64
%------------------------------------------------------------------------------