TSTP Solution File: REL027-4 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : REL027-4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 02:56:44 EDT 2024
% Result : Unsatisfiable 169.52s 23.24s
% Output : CNFRefutation 169.52s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
join(sk1,one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
cnf(c_50,negated_conjecture,
( join(meet(complement(composition(sk1,top)),one),meet(complement(sk1),one)) != meet(complement(sk1),one)
| join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)) != meet(complement(composition(sk1,top)),one) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_18) ).
cnf(c_51,plain,
join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-1.ax',dedekind_law_14) ).
cnf(c_52,plain,
join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-1.ax',modular_law_1_15) ).
cnf(c_53,plain,
join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-1.ax',modular_law_2_16) ).
cnf(c_54,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
cnf(c_55,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_56,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_57,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_58,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_59,plain,
composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
cnf(c_60,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_61,plain,
converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
cnf(c_62,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
cnf(c_63,plain,
composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).
cnf(c_64,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_65,plain,
join(X0,complement(X0)) = top,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_top_12) ).
cnf(c_66,plain,
meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
cnf(c_83,negated_conjecture,
join(one,sk1) = one,
inference(theory_normalisation,[status(thm)],[c_49,c_55,c_54]) ).
cnf(c_84,negated_conjecture,
( join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)) != meet(complement(composition(sk1,top)),one)
| join(meet(complement(sk1),one),meet(complement(composition(sk1,top)),one)) != meet(complement(sk1),one) ),
inference(theory_normalisation,[status(thm)],[c_50,c_55,c_54]) ).
cnf(c_85,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_56,c_55,c_54]) ).
cnf(c_86,plain,
join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_64,c_55,c_54]) ).
cnf(c_127,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_85,c_57]) ).
cnf(c_128,plain,
join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_127,c_55,c_54]) ).
cnf(c_139,plain,
complement(sk1) = sP0_iProver_def,
definition ).
cnf(c_140,plain,
meet(sP0_iProver_def,one) = sP1_iProver_def,
definition ).
cnf(c_141,plain,
composition(sk1,top) = sP2_iProver_def,
definition ).
cnf(c_142,plain,
complement(sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_143,plain,
meet(sP3_iProver_def,one) = sP4_iProver_def,
definition ).
cnf(c_144,plain,
join(sP1_iProver_def,sP4_iProver_def) = sP5_iProver_def,
definition ).
cnf(c_145,plain,
join(one,sk1) = sP6_iProver_def,
definition ).
cnf(c_146,negated_conjecture,
( sP5_iProver_def != sP1_iProver_def
| sP5_iProver_def != sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_84,c_141,c_142,c_143,c_139,c_140,c_144]) ).
cnf(c_147,negated_conjecture,
sP6_iProver_def = one,
inference(demodulation,[status(thm)],[c_83,c_145]) ).
cnf(c_251,plain,
composition(X0,sP6_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_59,c_147]) ).
cnf(c_252,plain,
meet(sP0_iProver_def,sP6_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_140,c_147]) ).
cnf(c_255,plain,
join(complement(X0),composition(X1,complement(composition(converse(X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_61,c_86]) ).
cnf(c_256,plain,
join(complement(top),composition(converse(sk1),complement(sP2_iProver_def))) = complement(top),
inference(superposition,[status(thm)],[c_141,c_86]) ).
cnf(c_258,plain,
join(complement(top),composition(converse(sk1),sP3_iProver_def)) = complement(top),
inference(light_normalisation,[status(thm)],[c_256,c_142]) ).
cnf(c_263,plain,
meet(sP3_iProver_def,sP6_iProver_def) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_143,c_147]) ).
cnf(c_266,plain,
join(sP2_iProver_def,sP3_iProver_def) = top,
inference(superposition,[status(thm)],[c_142,c_65]) ).
cnf(c_275,plain,
complement(join(complement(X0),complement(X1))) = meet(X1,X0),
inference(superposition,[status(thm)],[c_54,c_57]) ).
cnf(c_277,plain,
meet(X0,complement(X0)) = complement(top),
inference(superposition,[status(thm)],[c_65,c_57]) ).
cnf(c_278,plain,
complement(join(sP0_iProver_def,complement(X0))) = meet(sk1,X0),
inference(superposition,[status(thm)],[c_139,c_57]) ).
cnf(c_280,plain,
complement(join(sP3_iProver_def,complement(X0))) = meet(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_142,c_57]) ).
cnf(c_287,plain,
join(join(complement(X0),complement(X1)),meet(X0,X1)) = top,
inference(superposition,[status(thm)],[c_57,c_65]) ).
cnf(c_290,plain,
complement(top) = zero,
inference(light_normalisation,[status(thm)],[c_277,c_66]) ).
cnf(c_293,plain,
join(complement(X0),join(complement(X1),meet(X0,X1))) = top,
inference(theory_normalisation,[status(thm)],[c_287,c_55,c_54]) ).
cnf(c_355,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_66,c_128]) ).
cnf(c_419,plain,
converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_61,c_62]) ).
cnf(c_436,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_61,c_63]) ).
cnf(c_443,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_65,c_55]) ).
cnf(c_446,plain,
join(sP1_iProver_def,join(sP4_iProver_def,X0)) = join(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_144,c_55]) ).
cnf(c_495,plain,
composition(sk1,composition(top,X0)) = composition(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_141,c_58]) ).
cnf(c_497,plain,
composition(X0,composition(sP6_iProver_def,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_251,c_58]) ).
cnf(c_513,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(superposition,[status(thm)],[c_290,c_57]) ).
cnf(c_1001,plain,
complement(join(sP0_iProver_def,sP0_iProver_def)) = meet(sk1,sk1),
inference(superposition,[status(thm)],[c_139,c_278]) ).
cnf(c_1332,plain,
complement(join(sP3_iProver_def,sP3_iProver_def)) = meet(sP2_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_142,c_280]) ).
cnf(c_2552,plain,
join(zero,composition(converse(sk1),sP3_iProver_def)) = zero,
inference(light_normalisation,[status(thm)],[c_258,c_290]) ).
cnf(c_2654,plain,
complement(join(zero,zero)) = meet(top,top),
inference(superposition,[status(thm)],[c_290,c_513]) ).
cnf(c_3085,plain,
meet(X0,X1) = meet(X1,X0),
inference(superposition,[status(thm)],[c_275,c_57]) ).
cnf(c_3086,plain,
join(meet(X0,complement(X1)),meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_275,c_128]) ).
cnf(c_3091,plain,
join(meet(X0,X1),meet(X1,complement(X0))) = X1,
inference(theory_normalisation,[status(thm)],[c_3086,c_55,c_54]) ).
cnf(c_7046,plain,
join(zero,meet(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_355,c_275]) ).
cnf(c_9280,plain,
composition(converse(sP6_iProver_def),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_251,c_436]) ).
cnf(c_9329,plain,
composition(converse(sP6_iProver_def),X0) = X0,
inference(light_normalisation,[status(thm)],[c_9280,c_61]) ).
cnf(c_9464,plain,
converse(sP6_iProver_def) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_9329,c_251]) ).
cnf(c_9481,plain,
composition(converse(sP6_iProver_def),X0) = composition(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_9329,c_497]) ).
cnf(c_9515,plain,
composition(sP6_iProver_def,X0) = X0,
inference(light_normalisation,[status(thm)],[c_9481,c_9329]) ).
cnf(c_9822,plain,
join(X0,composition(X1,X0)) = composition(join(sP6_iProver_def,X1),X0),
inference(superposition,[status(thm)],[c_9515,c_60]) ).
cnf(c_9829,plain,
join(complement(X0),complement(composition(converse(sP6_iProver_def),X0))) = complement(X0),
inference(superposition,[status(thm)],[c_9515,c_255]) ).
cnf(c_9853,plain,
join(complement(X0),complement(X0)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_9829,c_9464,c_9515]) ).
cnf(c_10046,plain,
join(sP0_iProver_def,sP0_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_139,c_9853]) ).
cnf(c_10049,plain,
join(sP3_iProver_def,sP3_iProver_def) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_142,c_9853]) ).
cnf(c_10050,plain,
join(zero,zero) = zero,
inference(superposition,[status(thm)],[c_290,c_9853]) ).
cnf(c_10072,plain,
meet(X0,X0) = complement(complement(X0)),
inference(superposition,[status(thm)],[c_9853,c_57]) ).
cnf(c_10087,plain,
meet(sk1,sk1) = complement(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_1001,c_10046]) ).
cnf(c_10092,plain,
meet(sP2_iProver_def,sP2_iProver_def) = complement(sP3_iProver_def),
inference(demodulation,[status(thm)],[c_1332,c_10049]) ).
cnf(c_10096,plain,
meet(top,top) = complement(zero),
inference(demodulation,[status(thm)],[c_2654,c_10050]) ).
cnf(c_10654,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_10050,c_55]) ).
cnf(c_10910,plain,
join(complement(X0),meet(X0,X0)) = top,
inference(superposition,[status(thm)],[c_10072,c_65]) ).
cnf(c_11715,plain,
join(complement(X0),top) = top,
inference(superposition,[status(thm)],[c_10910,c_293]) ).
cnf(c_11716,plain,
join(top,complement(X0)) = top,
inference(theory_normalisation,[status(thm)],[c_11715,c_55,c_54]) ).
cnf(c_12212,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_7046,c_10654]) ).
cnf(c_12225,plain,
composition(converse(sk1),sP3_iProver_def) = zero,
inference(demodulation,[status(thm)],[c_2552,c_12212]) ).
cnf(c_12234,plain,
meet(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_7046,c_12212]) ).
cnf(c_12239,plain,
complement(complement(X0)) = X0,
inference(demodulation,[status(thm)],[c_10072,c_12234]) ).
cnf(c_12241,plain,
complement(sP0_iProver_def) = sk1,
inference(demodulation,[status(thm)],[c_10087,c_12234]) ).
cnf(c_12242,plain,
complement(zero) = top,
inference(demodulation,[status(thm)],[c_10096,c_12234]) ).
cnf(c_12244,plain,
complement(sP3_iProver_def) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_10092,c_12234]) ).
cnf(c_13463,plain,
join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_12212,c_54]) ).
cnf(c_13470,plain,
join(converse(zero),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_12212,c_419]) ).
cnf(c_13504,plain,
join(converse(zero),X0) = X0,
inference(light_normalisation,[status(thm)],[c_13470,c_61]) ).
cnf(c_13793,plain,
join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_12239,c_9853]) ).
cnf(c_14524,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_13793,c_55]) ).
cnf(c_15175,plain,
join(top,X0) = top,
inference(superposition,[status(thm)],[c_12239,c_11716]) ).
cnf(c_16516,plain,
composition(converse(sP3_iProver_def),sk1) = converse(zero),
inference(superposition,[status(thm)],[c_12225,c_436]) ).
cnf(c_16989,plain,
join(X0,join(complement(X0),X1)) = top,
inference(demodulation,[status(thm)],[c_443,c_15175]) ).
cnf(c_17002,plain,
join(X0,join(X1,complement(X0))) = top,
inference(superposition,[status(thm)],[c_54,c_16989]) ).
cnf(c_17372,plain,
converse(zero) = zero,
inference(superposition,[status(thm)],[c_13504,c_13463]) ).
cnf(c_21731,plain,
join(sP1_iProver_def,meet(sP6_iProver_def,complement(sP0_iProver_def))) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_252,c_3091]) ).
cnf(c_21732,plain,
join(sP4_iProver_def,meet(sP6_iProver_def,complement(sP3_iProver_def))) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_263,c_3091]) ).
cnf(c_21784,plain,
join(sP4_iProver_def,meet(sP6_iProver_def,sP2_iProver_def)) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_21732,c_12244]) ).
cnf(c_21785,plain,
join(sP1_iProver_def,meet(sP6_iProver_def,sk1)) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_21731,c_12241]) ).
cnf(c_21851,plain,
join(sP4_iProver_def,meet(sP2_iProver_def,sP6_iProver_def)) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_21784,c_3085]) ).
cnf(c_21853,plain,
join(sP4_iProver_def,sP6_iProver_def) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_21851,c_14524]) ).
cnf(c_21865,plain,
join(sP1_iProver_def,sP6_iProver_def) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_21785,c_14524]) ).
cnf(c_22137,plain,
join(sP1_iProver_def,sP6_iProver_def) = join(sP5_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_21853,c_446]) ).
cnf(c_22143,plain,
join(sP5_iProver_def,sP6_iProver_def) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_22137,c_21865]) ).
cnf(c_22191,plain,
join(sP5_iProver_def,join(sP6_iProver_def,X0)) = join(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_22143,c_55]) ).
cnf(c_22607,plain,
join(sP6_iProver_def,complement(sP5_iProver_def)) = top,
inference(superposition,[status(thm)],[c_22191,c_17002]) ).
cnf(c_29222,plain,
composition(converse(sP3_iProver_def),sk1) = zero,
inference(light_normalisation,[status(thm)],[c_16516,c_17372]) ).
cnf(c_29234,plain,
join(complement(sk1),composition(sP3_iProver_def,complement(zero))) = complement(sk1),
inference(superposition,[status(thm)],[c_29222,c_255]) ).
cnf(c_29238,plain,
join(sP0_iProver_def,composition(sP3_iProver_def,top)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_29234,c_139,c_12242]) ).
cnf(c_43762,plain,
composition(join(sP6_iProver_def,X0),top) = top,
inference(superposition,[status(thm)],[c_9822,c_15175]) ).
cnf(c_48379,plain,
join(sP0_iProver_def,join(composition(sP3_iProver_def,top),X0)) = join(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_29238,c_55]) ).
cnf(c_54759,plain,
composition(top,top) = top,
inference(superposition,[status(thm)],[c_22607,c_43762]) ).
cnf(c_55169,plain,
composition(sk1,top) = composition(sP2_iProver_def,top),
inference(superposition,[status(thm)],[c_54759,c_495]) ).
cnf(c_55179,plain,
composition(sP2_iProver_def,top) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_55169,c_141]) ).
cnf(c_56502,plain,
join(sP2_iProver_def,composition(X0,top)) = composition(join(sP2_iProver_def,X0),top),
inference(superposition,[status(thm)],[c_55179,c_60]) ).
cnf(c_67653,plain,
join(sP0_iProver_def,join(X0,composition(sP3_iProver_def,top))) = join(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_54,c_48379]) ).
cnf(c_87178,plain,
join(sP0_iProver_def,composition(join(sP2_iProver_def,sP3_iProver_def),top)) = join(sP0_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_56502,c_67653]) ).
cnf(c_87236,plain,
join(sP0_iProver_def,top) = join(sP0_iProver_def,sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_87178,c_266,c_54759]) ).
cnf(c_138006,plain,
join(sP6_iProver_def,sk1) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_145,c_147]) ).
cnf(c_138008,plain,
join(sP6_iProver_def,join(sk1,X0)) = join(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_138006,c_55]) ).
cnf(c_138010,plain,
join(sk1,sP0_iProver_def) = top,
inference(superposition,[status(thm)],[c_139,c_65]) ).
cnf(c_138013,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_65,c_55]) ).
cnf(c_138014,plain,
join(X0,join(X1,complement(join(X0,X1)))) = top,
inference(superposition,[status(thm)],[c_65,c_55]) ).
cnf(c_138015,plain,
join(sP0_iProver_def,sk1) = top,
inference(theory_normalisation,[status(thm)],[c_138010,c_55,c_54]) ).
cnf(c_138018,plain,
join(sP6_iProver_def,join(X0,sk1)) = join(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_54,c_138008]) ).
cnf(c_138116,plain,
meet(sk1,sP0_iProver_def) = zero,
inference(superposition,[status(thm)],[c_139,c_66]) ).
cnf(c_138121,plain,
meet(X0,complement(X0)) = complement(top),
inference(superposition,[status(thm)],[c_65,c_57]) ).
cnf(c_138122,plain,
complement(join(sP0_iProver_def,complement(X0))) = meet(sk1,X0),
inference(superposition,[status(thm)],[c_139,c_57]) ).
cnf(c_138134,plain,
complement(top) = zero,
inference(light_normalisation,[status(thm)],[c_138121,c_66]) ).
cnf(c_138262,plain,
join(zero,complement(join(complement(sk1),sP0_iProver_def))) = sk1,
inference(superposition,[status(thm)],[c_138116,c_128]) ).
cnf(c_138284,plain,
join(zero,complement(join(sP0_iProver_def,complement(sk1)))) = sk1,
inference(theory_normalisation,[status(thm)],[c_138262,c_55,c_54]) ).
cnf(c_138285,plain,
join(zero,complement(join(sP0_iProver_def,sP0_iProver_def))) = sk1,
inference(light_normalisation,[status(thm)],[c_138284,c_139]) ).
cnf(c_138452,plain,
join(sP0_iProver_def,join(sk1,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_138015,c_55]) ).
cnf(c_139184,plain,
complement(join(sP0_iProver_def,sP0_iProver_def)) = meet(sk1,sk1),
inference(superposition,[status(thm)],[c_139,c_138122]) ).
cnf(c_139210,plain,
join(zero,meet(sk1,sk1)) = sk1,
inference(demodulation,[status(thm)],[c_138285,c_139184]) ).
cnf(c_139231,plain,
join(join(sP0_iProver_def,sP0_iProver_def),meet(sk1,sk1)) = top,
inference(superposition,[status(thm)],[c_139184,c_65]) ).
cnf(c_139235,plain,
join(sP0_iProver_def,join(sP0_iProver_def,meet(sk1,sk1))) = top,
inference(theory_normalisation,[status(thm)],[c_139231,c_55,c_54]) ).
cnf(c_142112,plain,
join(sP6_iProver_def,complement(sP6_iProver_def)) = join(top,sk1),
inference(superposition,[status(thm)],[c_138013,c_138018]) ).
cnf(c_142176,plain,
join(sP6_iProver_def,complement(sP6_iProver_def)) = join(sk1,top),
inference(theory_normalisation,[status(thm)],[c_142112,c_55,c_54]) ).
cnf(c_142432,plain,
join(sP0_iProver_def,join(join(sP0_iProver_def,meet(sk1,sk1)),complement(top))) = top,
inference(superposition,[status(thm)],[c_139235,c_138014]) ).
cnf(c_142548,plain,
join(sP6_iProver_def,complement(join(sP6_iProver_def,sk1))) = top,
inference(superposition,[status(thm)],[c_138014,c_138008]) ).
cnf(c_142600,plain,
join(sk1,top) = top,
inference(light_normalisation,[status(thm)],[c_142548,c_138006,c_142176]) ).
cnf(c_142686,plain,
join(sP0_iProver_def,join(sP0_iProver_def,join(complement(top),meet(sk1,sk1)))) = top,
inference(theory_normalisation,[status(thm)],[c_142432,c_55,c_54]) ).
cnf(c_142687,plain,
join(sP0_iProver_def,top) = top,
inference(light_normalisation,[status(thm)],[c_142686,c_138015,c_138134,c_139210]) ).
cnf(c_142991,plain,
join(top,top) = join(sP0_iProver_def,top),
inference(superposition,[status(thm)],[c_142600,c_138452]) ).
cnf(c_142995,plain,
join(top,top) = top,
inference(light_normalisation,[status(thm)],[c_142991,c_142687]) ).
cnf(c_210930,plain,
join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_55,c_54]) ).
cnf(c_210934,plain,
join(sk1,top) = top,
inference(demodulation,[status(thm)],[c_142176,c_65]) ).
cnf(c_210938,plain,
composition(X0,sP6_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_59,c_147]) ).
cnf(c_210940,plain,
join(complement(X0),composition(X1,complement(composition(converse(X1),X0)))) = complement(X0),
inference(superposition,[status(thm)],[c_61,c_86]) ).
cnf(c_210941,plain,
meet(sP0_iProver_def,sP6_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_140,c_147]) ).
cnf(c_210944,plain,
meet(sP3_iProver_def,sP6_iProver_def) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_143,c_147]) ).
cnf(c_210945,plain,
join(sP6_iProver_def,sk1) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_145,c_147]) ).
cnf(c_210954,plain,
join(sk1,sP0_iProver_def) = top,
inference(superposition,[status(thm)],[c_139,c_65]) ).
cnf(c_210957,plain,
join(sP0_iProver_def,sk1) = top,
inference(theory_normalisation,[status(thm)],[c_210954,c_55,c_54]) ).
cnf(c_210967,plain,
join(meet(sk1,X0),complement(join(sP0_iProver_def,X0))) = sk1,
inference(superposition,[status(thm)],[c_139,c_128]) ).
cnf(c_210968,plain,
join(meet(sP2_iProver_def,X0),complement(join(sP3_iProver_def,X0))) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_142,c_128]) ).
cnf(c_210986,plain,
meet(sP2_iProver_def,sP3_iProver_def) = zero,
inference(superposition,[status(thm)],[c_142,c_66]) ).
cnf(c_210988,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_66,c_128]) ).
cnf(c_210989,plain,
join(meet(X0,X1),complement(join(X1,complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_54,c_128]) ).
cnf(c_210991,plain,
complement(join(complement(X0),complement(X1))) = meet(X1,X0),
inference(superposition,[status(thm)],[c_54,c_57]) ).
cnf(c_210993,plain,
meet(X0,complement(X0)) = complement(top),
inference(superposition,[status(thm)],[c_65,c_57]) ).
cnf(c_210994,plain,
complement(join(sP0_iProver_def,complement(X0))) = meet(sk1,X0),
inference(superposition,[status(thm)],[c_139,c_57]) ).
cnf(c_210996,plain,
complement(join(sP3_iProver_def,complement(X0))) = meet(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_142,c_57]) ).
cnf(c_210998,plain,
complement(join(complement(X0),sP0_iProver_def)) = meet(X0,sk1),
inference(superposition,[status(thm)],[c_139,c_57]) ).
cnf(c_211002,plain,
complement(join(meet(X0,X1),complement(X2))) = meet(join(complement(X0),complement(X1)),X2),
inference(superposition,[status(thm)],[c_57,c_57]) ).
cnf(c_211004,plain,
join(meet(join(complement(X0),complement(X1)),X2),complement(join(meet(X0,X1),X2))) = join(complement(X0),complement(X1)),
inference(superposition,[status(thm)],[c_57,c_128]) ).
cnf(c_211007,plain,
join(meet(X0,X1),composition(converse(X2),complement(composition(X2,join(complement(X0),complement(X1)))))) = meet(X0,X1),
inference(superposition,[status(thm)],[c_57,c_86]) ).
cnf(c_211009,plain,
join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_57,c_128]) ).
cnf(c_211010,plain,
complement(top) = zero,
inference(light_normalisation,[status(thm)],[c_210993,c_66]) ).
cnf(c_211012,plain,
complement(join(sP0_iProver_def,complement(X0))) = meet(X0,sk1),
inference(theory_normalisation,[status(thm)],[c_210998,c_55,c_54]) ).
cnf(c_211013,plain,
join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_211009,c_55,c_54]) ).
cnf(c_211015,plain,
join(complement(join(meet(X0,X1),X2)),meet(join(complement(X0),complement(X1)),X2)) = join(complement(X0),complement(X1)),
inference(theory_normalisation,[status(thm)],[c_211004,c_55,c_54]) ).
cnf(c_211047,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(superposition,[status(thm)],[c_211010,c_57]) ).
cnf(c_211050,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_211010,c_65]) ).
cnf(c_211053,plain,
complement(join(complement(X0),zero)) = meet(X0,top),
inference(superposition,[status(thm)],[c_211010,c_57]) ).
cnf(c_211054,plain,
complement(join(zero,complement(X0))) = meet(X0,top),
inference(theory_normalisation,[status(thm)],[c_211053,c_55,c_54]) ).
cnf(c_211202,plain,
join(X0,join(X1,complement(X0))) = join(X1,top),
inference(superposition,[status(thm)],[c_65,c_210930]) ).
cnf(c_211204,plain,
join(meet(X0,X1),join(X2,complement(join(complement(X0),X1)))) = join(X2,X0),
inference(superposition,[status(thm)],[c_128,c_210930]) ).
cnf(c_211205,plain,
join(sP1_iProver_def,join(X0,sP4_iProver_def)) = join(X0,sP5_iProver_def),
inference(superposition,[status(thm)],[c_144,c_210930]) ).
cnf(c_211207,plain,
join(sP6_iProver_def,join(X0,sk1)) = join(X0,sP6_iProver_def),
inference(superposition,[status(thm)],[c_210945,c_210930]) ).
cnf(c_211223,plain,
join(top,join(X0,top)) = join(X0,top),
inference(superposition,[status(thm)],[c_142995,c_210930]) ).
cnf(c_211275,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_61,c_63]) ).
cnf(c_211284,plain,
join(sP1_iProver_def,join(sP4_iProver_def,X0)) = join(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_144,c_55]) ).
cnf(c_211286,plain,
join(sP6_iProver_def,join(sk1,X0)) = join(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_210945,c_55]) ).
cnf(c_211288,plain,
join(sP0_iProver_def,join(sk1,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_210957,c_55]) ).
cnf(c_211307,plain,
join(X0,join(X1,complement(join(X0,X1)))) = top,
inference(superposition,[status(thm)],[c_55,c_65]) ).
cnf(c_211363,plain,
composition(X0,composition(sP6_iProver_def,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_210938,c_58]) ).
cnf(c_211433,plain,
join(composition(X0,X1),composition(X2,composition(X3,X1))) = composition(join(X0,composition(X2,X3)),X1),
inference(superposition,[status(thm)],[c_58,c_60]) ).
cnf(c_211463,plain,
join(zero,complement(join(complement(sP2_iProver_def),sP3_iProver_def))) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_210986,c_128]) ).
cnf(c_211465,plain,
join(zero,complement(join(sP3_iProver_def,complement(sP2_iProver_def)))) = sP2_iProver_def,
inference(theory_normalisation,[status(thm)],[c_211463,c_55,c_54]) ).
cnf(c_211466,plain,
join(zero,complement(join(sP3_iProver_def,sP3_iProver_def))) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_211465,c_142]) ).
cnf(c_211475,plain,
join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_211050,c_55]) ).
cnf(c_211521,plain,
join(sP0_iProver_def,sP6_iProver_def) = join(sP6_iProver_def,top),
inference(superposition,[status(thm)],[c_210957,c_211207]) ).
cnf(c_211631,plain,
join(meet(sP2_iProver_def,X0),meet(composition(sk1,meet(top,composition(converse(sk1),X0))),X0)) = meet(composition(sk1,meet(top,composition(converse(sk1),X0))),X0),
inference(superposition,[status(thm)],[c_141,c_52]) ).
cnf(c_211676,plain,
join(meet(composition(X0,sP6_iProver_def),X1),meet(meet(X0,composition(X1,converse(sP6_iProver_def))),X1)) = meet(meet(X0,composition(X1,converse(sP6_iProver_def))),X1),
inference(superposition,[status(thm)],[c_210938,c_53]) ).
cnf(c_211684,plain,
join(meet(X0,X1),meet(meet(X0,composition(X1,converse(sP6_iProver_def))),X1)) = meet(meet(X0,composition(X1,converse(sP6_iProver_def))),X1),
inference(light_normalisation,[status(thm)],[c_211676,c_210938]) ).
cnf(c_211714,plain,
join(meet(X0,X1),composition(meet(X0,composition(X1,converse(sP6_iProver_def))),meet(sP6_iProver_def,composition(converse(X0),X1)))) = composition(meet(X0,composition(X1,converse(sP6_iProver_def))),meet(sP6_iProver_def,composition(converse(X0),X1))),
inference(superposition,[status(thm)],[c_210938,c_51]) ).
cnf(c_211720,plain,
join(meet(composition(X0,X1),sP6_iProver_def),composition(meet(X0,composition(sP6_iProver_def,converse(X1))),meet(X1,converse(X0)))) = composition(meet(X0,composition(sP6_iProver_def,converse(X1))),meet(X1,converse(X0))),
inference(superposition,[status(thm)],[c_210938,c_51]) ).
cnf(c_211850,plain,
join(meet(X0,X1),join(meet(meet(X0,composition(X1,converse(sP6_iProver_def))),X1),X2)) = join(meet(meet(X0,composition(X1,converse(sP6_iProver_def))),X1),X2),
inference(superposition,[status(thm)],[c_211684,c_55]) ).
cnf(c_212061,plain,
complement(join(sP0_iProver_def,sP0_iProver_def)) = meet(sk1,sk1),
inference(superposition,[status(thm)],[c_139,c_210994]) ).
cnf(c_212064,plain,
complement(join(sP0_iProver_def,zero)) = meet(sk1,top),
inference(superposition,[status(thm)],[c_211010,c_210994]) ).
cnf(c_212225,plain,
complement(join(sP3_iProver_def,sP3_iProver_def)) = meet(sP2_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_142,c_210996]) ).
cnf(c_212226,plain,
complement(join(sP3_iProver_def,zero)) = meet(sP2_iProver_def,top),
inference(superposition,[status(thm)],[c_211010,c_210996]) ).
cnf(c_212250,plain,
join(zero,meet(sP2_iProver_def,sP2_iProver_def)) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_211466,c_212225]) ).
cnf(c_212920,plain,
meet(X0,sk1) = meet(sk1,X0),
inference(superposition,[status(thm)],[c_211012,c_210994]) ).
cnf(c_213010,plain,
complement(join(zero,meet(sP2_iProver_def,sP2_iProver_def))) = meet(top,join(sP3_iProver_def,sP3_iProver_def)),
inference(superposition,[status(thm)],[c_212225,c_211047]) ).
cnf(c_213041,plain,
meet(top,join(sP3_iProver_def,sP3_iProver_def)) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_213010,c_142,c_212250]) ).
cnf(c_213112,plain,
meet(zero,top) = complement(top),
inference(superposition,[status(thm)],[c_65,c_211054]) ).
cnf(c_213148,plain,
meet(zero,top) = zero,
inference(light_normalisation,[status(thm)],[c_213112,c_211010]) ).
cnf(c_213561,plain,
join(meet(sk1,X0),complement(join(X0,sP0_iProver_def))) = sk1,
inference(superposition,[status(thm)],[c_54,c_210967]) ).
cnf(c_214051,plain,
join(top,top) = join(sP0_iProver_def,top),
inference(superposition,[status(thm)],[c_210934,c_211288]) ).
cnf(c_214058,plain,
join(sP0_iProver_def,sP2_iProver_def) = top,
inference(light_normalisation,[status(thm)],[c_214051,c_142995,c_87236]) ).
cnf(c_214067,plain,
join(sP0_iProver_def,top) = top,
inference(demodulation,[status(thm)],[c_87236,c_214058]) ).
cnf(c_214088,plain,
join(meet(sk1,sP2_iProver_def),complement(top)) = sk1,
inference(superposition,[status(thm)],[c_214058,c_210967]) ).
cnf(c_214089,plain,
join(complement(top),meet(sk1,sP2_iProver_def)) = sk1,
inference(theory_normalisation,[status(thm)],[c_214088,c_55,c_54]) ).
cnf(c_214090,plain,
join(zero,meet(sk1,sP2_iProver_def)) = sk1,
inference(light_normalisation,[status(thm)],[c_214089,c_211010]) ).
cnf(c_214096,plain,
join(meet(sk1,top),complement(top)) = sk1,
inference(superposition,[status(thm)],[c_214067,c_210967]) ).
cnf(c_214097,plain,
join(complement(top),meet(sk1,top)) = sk1,
inference(theory_normalisation,[status(thm)],[c_214096,c_55,c_54]) ).
cnf(c_214098,plain,
join(zero,meet(sk1,top)) = sk1,
inference(light_normalisation,[status(thm)],[c_214097,c_211010]) ).
cnf(c_214450,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[status(thm)],[c_65,c_211475]) ).
cnf(c_214464,plain,
join(top,complement(zero)) = top,
inference(light_normalisation,[status(thm)],[c_214450,c_142995]) ).
cnf(c_214538,plain,
join(zero,meet(sP2_iProver_def,sk1)) = sk1,
inference(demodulation,[status(thm)],[c_214090,c_212920]) ).
cnf(c_218483,plain,
join(meet(X0,X1),top) = top,
inference(superposition,[status(thm)],[c_65,c_211850]) ).
cnf(c_218520,plain,
join(top,meet(X0,X1)) = top,
inference(theory_normalisation,[status(thm)],[c_218483,c_55,c_54]) ).
cnf(c_218753,plain,
join(top,sP3_iProver_def) = top,
inference(superposition,[status(thm)],[c_213041,c_218520]) ).
cnf(c_218774,plain,
join(sP3_iProver_def,top) = top,
inference(theory_normalisation,[status(thm)],[c_218753,c_55,c_54]) ).
cnf(c_218909,plain,
join(meet(sP2_iProver_def,top),complement(top)) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_218774,c_210968]) ).
cnf(c_218913,plain,
join(complement(top),meet(sP2_iProver_def,top)) = sP2_iProver_def,
inference(theory_normalisation,[status(thm)],[c_218909,c_55,c_54]) ).
cnf(c_218914,plain,
join(zero,meet(sP2_iProver_def,top)) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_218913,c_211010]) ).
cnf(c_219428,plain,
join(zero,meet(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_210988,c_210991]) ).
cnf(c_219901,plain,
join(meet(X0,complement(X1)),meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_57,c_210989]) ).
cnf(c_219921,plain,
join(meet(zero,top),complement(top)) = zero,
inference(superposition,[status(thm)],[c_214464,c_210989]) ).
cnf(c_219960,plain,
join(complement(top),meet(zero,top)) = zero,
inference(theory_normalisation,[status(thm)],[c_219921,c_55,c_54]) ).
cnf(c_219961,plain,
join(zero,zero) = zero,
inference(light_normalisation,[status(thm)],[c_219960,c_211010,c_213148]) ).
cnf(c_219972,plain,
join(meet(X0,X1),meet(X1,complement(X0))) = X1,
inference(theory_normalisation,[status(thm)],[c_219901,c_55,c_54]) ).
cnf(c_220281,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_219961,c_55]) ).
cnf(c_220907,plain,
meet(X0,X1) = meet(X1,X0),
inference(superposition,[status(thm)],[c_210991,c_57]) ).
cnf(c_220922,plain,
join(meet(sP6_iProver_def,composition(X0,X1)),composition(meet(X0,composition(sP6_iProver_def,converse(X1))),meet(X1,converse(X0)))) = composition(meet(X0,composition(sP6_iProver_def,converse(X1))),meet(X1,converse(X0))),
inference(demodulation,[status(thm)],[c_211720,c_220907]) ).
cnf(c_221550,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_219428,c_220281]) ).
cnf(c_221567,plain,
complement(complement(X0)) = meet(X0,top),
inference(demodulation,[status(thm)],[c_211054,c_221550]) ).
cnf(c_221571,plain,
meet(sk1,top) = sk1,
inference(demodulation,[status(thm)],[c_214098,c_221550]) ).
cnf(c_221572,plain,
meet(sP2_iProver_def,sk1) = sk1,
inference(demodulation,[status(thm)],[c_214538,c_221550]) ).
cnf(c_221573,plain,
meet(sP2_iProver_def,top) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_218914,c_221550]) ).
cnf(c_221578,plain,
meet(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_219428,c_221550]) ).
cnf(c_221583,plain,
complement(join(sP0_iProver_def,sP0_iProver_def)) = sk1,
inference(demodulation,[status(thm)],[c_212061,c_221578]) ).
cnf(c_221608,plain,
complement(join(sP3_iProver_def,zero)) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_212226,c_221573]) ).
cnf(c_221618,plain,
complement(join(sP0_iProver_def,zero)) = sk1,
inference(demodulation,[status(thm)],[c_212064,c_221571]) ).
cnf(c_221720,plain,
join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_221550,c_54]) ).
cnf(c_222088,plain,
join(top,X0) = top,
inference(superposition,[status(thm)],[c_221578,c_218520]) ).
cnf(c_222129,plain,
join(X0,top) = top,
inference(demodulation,[status(thm)],[c_211223,c_222088]) ).
cnf(c_222138,plain,
join(sP0_iProver_def,sP6_iProver_def) = top,
inference(demodulation,[status(thm)],[c_211521,c_222129]) ).
cnf(c_222213,plain,
meet(join(complement(sP0_iProver_def),complement(sP6_iProver_def)),X0) = complement(join(sP1_iProver_def,complement(X0))),
inference(superposition,[status(thm)],[c_210941,c_211002]) ).
cnf(c_222214,plain,
meet(join(complement(sP3_iProver_def),complement(sP6_iProver_def)),X0) = complement(join(sP4_iProver_def,complement(X0))),
inference(superposition,[status(thm)],[c_210944,c_211002]) ).
cnf(c_222221,plain,
meet(join(complement(sP2_iProver_def),complement(sk1)),X0) = complement(join(sk1,complement(X0))),
inference(superposition,[status(thm)],[c_221572,c_211002]) ).
cnf(c_222227,plain,
meet(join(complement(X0),complement(X0)),X1) = complement(join(X0,complement(X1))),
inference(superposition,[status(thm)],[c_221578,c_211002]) ).
cnf(c_222274,plain,
complement(join(sk1,complement(X0))) = meet(join(sP3_iProver_def,sP0_iProver_def),X0),
inference(light_normalisation,[status(thm)],[c_222221,c_139,c_142]) ).
cnf(c_222275,plain,
complement(join(sk1,complement(X0))) = meet(join(sP0_iProver_def,sP3_iProver_def),X0),
inference(theory_normalisation,[status(thm)],[c_222274,c_55,c_54]) ).
cnf(c_222436,plain,
join(sP1_iProver_def,meet(sP0_iProver_def,complement(sP6_iProver_def))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_210941,c_211013]) ).
cnf(c_222437,plain,
join(sP4_iProver_def,meet(sP3_iProver_def,complement(sP6_iProver_def))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_210944,c_211013]) ).
cnf(c_222559,plain,
join(sP1_iProver_def,join(X0,meet(sP0_iProver_def,complement(sP6_iProver_def)))) = join(X0,sP0_iProver_def),
inference(superposition,[status(thm)],[c_222436,c_210930]) ).
cnf(c_222562,plain,
join(sP4_iProver_def,join(X0,meet(sP3_iProver_def,complement(sP6_iProver_def)))) = join(X0,sP3_iProver_def),
inference(superposition,[status(thm)],[c_222437,c_210930]) ).
cnf(c_222595,plain,
complement(join(sP1_iProver_def,complement(join(complement(sP0_iProver_def),complement(sP6_iProver_def))))) = join(complement(sP0_iProver_def),complement(sP6_iProver_def)),
inference(superposition,[status(thm)],[c_222213,c_221578]) ).
cnf(c_223371,plain,
join(sP1_iProver_def,composition(converse(X0),complement(composition(X0,join(complement(sP0_iProver_def),complement(sP6_iProver_def)))))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_210941,c_211007]) ).
cnf(c_223793,plain,
join(meet(sk1,sP6_iProver_def),complement(top)) = sk1,
inference(superposition,[status(thm)],[c_222138,c_210967]) ).
cnf(c_223794,plain,
join(complement(top),meet(sk1,sP6_iProver_def)) = sk1,
inference(theory_normalisation,[status(thm)],[c_223793,c_55,c_54]) ).
cnf(c_223795,plain,
join(zero,meet(sk1,sP6_iProver_def)) = sk1,
inference(light_normalisation,[status(thm)],[c_223794,c_211010]) ).
cnf(c_223881,plain,
join(sP1_iProver_def,join(composition(converse(X0),complement(composition(X0,join(complement(sP0_iProver_def),complement(sP6_iProver_def))))),X1)) = join(sP1_iProver_def,X1),
inference(superposition,[status(thm)],[c_223371,c_55]) ).
cnf(c_224018,plain,
join(complement(sP0_iProver_def),complement(sP6_iProver_def)) = complement(join(sP1_iProver_def,sP1_iProver_def)),
inference(demodulation,[status(thm)],[c_222595,c_210941,c_210991,c_220907]) ).
cnf(c_224035,plain,
complement(complement(join(sP1_iProver_def,sP1_iProver_def))) = meet(sP6_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_224018,c_210991]) ).
cnf(c_224040,plain,
join(meet(sP6_iProver_def,complement(sP0_iProver_def)),complement(complement(join(sP1_iProver_def,sP1_iProver_def)))) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_224018,c_210989]) ).
cnf(c_225117,plain,
join(meet(sP6_iProver_def,complement(sP0_iProver_def)),meet(sP6_iProver_def,sP0_iProver_def)) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_224040,c_224035]) ).
cnf(c_225118,plain,
join(meet(sP6_iProver_def,complement(sP0_iProver_def)),sP1_iProver_def) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_225117,c_210941,c_220907]) ).
cnf(c_225119,plain,
join(sP1_iProver_def,meet(sP6_iProver_def,complement(sP0_iProver_def))) = sP6_iProver_def,
inference(theory_normalisation,[status(thm)],[c_225118,c_55,c_54]) ).
cnf(c_225347,plain,
join(meet(join(sP0_iProver_def,sP0_iProver_def),X0),complement(join(sk1,X0))) = join(sP0_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_221583,c_128]) ).
cnf(c_225355,plain,
complement(join(complement(X0),sk1)) = meet(join(sP0_iProver_def,sP0_iProver_def),X0),
inference(superposition,[status(thm)],[c_221583,c_210991]) ).
cnf(c_225368,plain,
complement(join(sk1,complement(X0))) = meet(join(sP0_iProver_def,sP0_iProver_def),X0),
inference(theory_normalisation,[status(thm)],[c_225355,c_55,c_54]) ).
cnf(c_225369,plain,
meet(join(sP0_iProver_def,sP0_iProver_def),X0) = meet(join(sP0_iProver_def,sP3_iProver_def),X0),
inference(light_normalisation,[status(thm)],[c_225368,c_222275]) ).
cnf(c_225373,plain,
join(complement(join(sk1,X0)),meet(join(sP0_iProver_def,sP0_iProver_def),X0)) = join(sP0_iProver_def,sP0_iProver_def),
inference(theory_normalisation,[status(thm)],[c_225347,c_55,c_54]) ).
cnf(c_225591,plain,
complement(sP3_iProver_def) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_221608,c_221720]) ).
cnf(c_225596,plain,
meet(join(sP2_iProver_def,complement(sP6_iProver_def)),X0) = complement(join(sP4_iProver_def,complement(X0))),
inference(demodulation,[status(thm)],[c_222214,c_225591]) ).
cnf(c_226020,plain,
join(complement(join(sP4_iProver_def,X0)),meet(join(complement(sP3_iProver_def),complement(sP6_iProver_def)),X0)) = join(complement(sP3_iProver_def),complement(sP6_iProver_def)),
inference(superposition,[status(thm)],[c_210944,c_211015]) ).
cnf(c_226026,plain,
join(complement(join(sk1,X0)),meet(join(complement(sP2_iProver_def),complement(sk1)),X0)) = join(complement(sP2_iProver_def),complement(sk1)),
inference(superposition,[status(thm)],[c_221572,c_211015]) ).
cnf(c_226032,plain,
join(complement(join(X0,X1)),meet(join(complement(X0),complement(X0)),X1)) = join(complement(X0),complement(X0)),
inference(superposition,[status(thm)],[c_221578,c_211015]) ).
cnf(c_226121,plain,
join(complement(join(X0,X1)),complement(join(X0,complement(X1)))) = join(complement(X0),complement(X0)),
inference(light_normalisation,[status(thm)],[c_226032,c_222227]) ).
cnf(c_226126,plain,
join(complement(join(sk1,X0)),meet(join(sP3_iProver_def,sP0_iProver_def),X0)) = join(sP3_iProver_def,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_226026,c_139,c_142]) ).
cnf(c_226127,plain,
join(complement(join(sk1,X0)),meet(join(sP0_iProver_def,sP3_iProver_def),X0)) = join(sP0_iProver_def,sP3_iProver_def),
inference(theory_normalisation,[status(thm)],[c_226126,c_55,c_54]) ).
cnf(c_226128,plain,
join(sP0_iProver_def,sP0_iProver_def) = join(sP0_iProver_def,sP3_iProver_def),
inference(light_normalisation,[status(thm)],[c_226127,c_225369,c_225373]) ).
cnf(c_226133,plain,
join(complement(join(sP4_iProver_def,X0)),complement(join(sP4_iProver_def,complement(X0)))) = join(sP2_iProver_def,complement(sP6_iProver_def)),
inference(light_normalisation,[status(thm)],[c_226020,c_225591,c_225596]) ).
cnf(c_226758,plain,
join(X0,join(X1,complement(X0))) = top,
inference(demodulation,[status(thm)],[c_211202,c_222129]) ).
cnf(c_226818,plain,
join(sP5_iProver_def,complement(sP1_iProver_def)) = top,
inference(superposition,[status(thm)],[c_226758,c_211284]) ).
cnf(c_227332,plain,
complement(sP0_iProver_def) = sk1,
inference(demodulation,[status(thm)],[c_221618,c_221720]) ).
cnf(c_227335,plain,
join(sP1_iProver_def,meet(sP6_iProver_def,sk1)) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_225119,c_227332]) ).
cnf(c_227337,plain,
join(sk1,complement(sP6_iProver_def)) = complement(join(sP1_iProver_def,sP1_iProver_def)),
inference(demodulation,[status(thm)],[c_224018,c_227332]) ).
cnf(c_228138,plain,
composition(converse(sP6_iProver_def),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_210938,c_211275]) ).
cnf(c_228187,plain,
composition(converse(sP6_iProver_def),X0) = X0,
inference(light_normalisation,[status(thm)],[c_228138,c_61]) ).
cnf(c_228281,plain,
converse(sP6_iProver_def) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_228187,c_210938]) ).
cnf(c_228288,plain,
join(meet(sP6_iProver_def,X0),composition(meet(sP6_iProver_def,composition(X0,converse(sP6_iProver_def))),meet(sP6_iProver_def,X0))) = composition(meet(sP6_iProver_def,composition(X0,converse(sP6_iProver_def))),meet(sP6_iProver_def,X0)),
inference(superposition,[status(thm)],[c_228187,c_211714]) ).
cnf(c_228299,plain,
composition(converse(sP6_iProver_def),X0) = composition(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_228187,c_211363]) ).
cnf(c_228321,plain,
composition(sP6_iProver_def,X0) = X0,
inference(light_normalisation,[status(thm)],[c_228299,c_228187]) ).
cnf(c_228418,plain,
composition(sP6_iProver_def,converse(X0)) = converse(composition(X0,sP6_iProver_def)),
inference(superposition,[status(thm)],[c_228281,c_63]) ).
cnf(c_228419,plain,
join(sP6_iProver_def,converse(X0)) = converse(join(sP6_iProver_def,X0)),
inference(superposition,[status(thm)],[c_228281,c_62]) ).
cnf(c_228424,plain,
composition(sP6_iProver_def,converse(X0)) = converse(X0),
inference(light_normalisation,[status(thm)],[c_228418,c_210938]) ).
cnf(c_228439,plain,
join(X0,composition(X1,X0)) = composition(join(sP6_iProver_def,X1),X0),
inference(superposition,[status(thm)],[c_228321,c_60]) ).
cnf(c_228442,plain,
join(composition(X0,X1),X1) = composition(join(X0,sP6_iProver_def),X1),
inference(superposition,[status(thm)],[c_228321,c_60]) ).
cnf(c_228446,plain,
join(complement(X0),complement(composition(converse(sP6_iProver_def),X0))) = complement(X0),
inference(superposition,[status(thm)],[c_228321,c_210940]) ).
cnf(c_228466,plain,
join(complement(X0),complement(X0)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_228446,c_228281,c_228321]) ).
cnf(c_228468,plain,
join(X0,composition(X1,X0)) = composition(join(X1,sP6_iProver_def),X0),
inference(theory_normalisation,[status(thm)],[c_228442,c_55,c_54]) ).
cnf(c_228629,plain,
meet(X0,X0) = complement(complement(X0)),
inference(superposition,[status(thm)],[c_228466,c_57]) ).
cnf(c_228635,plain,
complement(complement(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_228629,c_221567,c_221578]) ).
cnf(c_228680,plain,
join(sP6_iProver_def,converse(sk1)) = converse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_210945,c_228419]) ).
cnf(c_228723,plain,
join(sP6_iProver_def,converse(sk1)) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_228680,c_228281]) ).
cnf(c_229010,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(superposition,[status(thm)],[c_57,c_228635]) ).
cnf(c_229025,plain,
join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_228635,c_228466]) ).
cnf(c_229046,plain,
complement(join(X0,complement(X1))) = meet(complement(X0),X1),
inference(superposition,[status(thm)],[c_228635,c_57]) ).
cnf(c_229057,plain,
complement(join(complement(X0),X1)) = meet(complement(X1),X0),
inference(superposition,[status(thm)],[c_228635,c_210991]) ).
cnf(c_229060,plain,
complement(join(complement(X0),X1)) = meet(X0,complement(X1)),
inference(superposition,[status(thm)],[c_228635,c_57]) ).
cnf(c_229089,plain,
join(sk1,complement(sP6_iProver_def)) = complement(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_227337,c_229025]) ).
cnf(c_229188,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_229025,c_55]) ).
cnf(c_229215,plain,
join(meet(sP3_iProver_def,complement(sP6_iProver_def)),sP3_iProver_def) = join(sP4_iProver_def,meet(sP3_iProver_def,complement(sP6_iProver_def))),
inference(superposition,[status(thm)],[c_229025,c_222562]) ).
cnf(c_229235,plain,
join(sP3_iProver_def,meet(sP3_iProver_def,complement(sP6_iProver_def))) = join(sP4_iProver_def,meet(sP3_iProver_def,complement(sP6_iProver_def))),
inference(theory_normalisation,[status(thm)],[c_229215,c_55,c_54]) ).
cnf(c_229236,plain,
join(sP3_iProver_def,meet(sP3_iProver_def,complement(sP6_iProver_def))) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_229235,c_222437]) ).
cnf(c_229273,plain,
join(sP3_iProver_def,sP3_iProver_def) = join(sP4_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_229236,c_222562]) ).
cnf(c_229274,plain,
join(sP3_iProver_def,sP3_iProver_def) = join(sP3_iProver_def,sP4_iProver_def),
inference(theory_normalisation,[status(thm)],[c_229273,c_55,c_54]) ).
cnf(c_229449,plain,
join(meet(X0,X1),X0) = X0,
inference(superposition,[status(thm)],[c_211013,c_229188]) ).
cnf(c_229522,plain,
join(X0,meet(X0,X1)) = X0,
inference(theory_normalisation,[status(thm)],[c_229449,c_55,c_54]) ).
cnf(c_229644,plain,
join(sP2_iProver_def,complement(sP6_iProver_def)) = complement(sP4_iProver_def),
inference(demodulation,[status(thm)],[c_226133,c_221578,c_229010,c_226121]) ).
cnf(c_230645,plain,
meet(X0,top) = X0,
inference(light_normalisation,[status(thm)],[c_221567,c_228635]) ).
cnf(c_230658,plain,
meet(top,X0) = X0,
inference(superposition,[status(thm)],[c_230645,c_220907]) ).
cnf(c_231778,plain,
join(sP1_iProver_def,join(composition(converse(X0),complement(composition(X0,complement(sP1_iProver_def)))),X1)) = join(sP1_iProver_def,X1),
inference(light_normalisation,[status(thm)],[c_223881,c_227332,c_229089]) ).
cnf(c_231819,plain,
join(composition(converse(X0),complement(composition(X0,complement(sP1_iProver_def)))),sP0_iProver_def) = join(sP1_iProver_def,meet(sP0_iProver_def,complement(sP6_iProver_def))),
inference(superposition,[status(thm)],[c_231778,c_222559]) ).
cnf(c_231831,plain,
join(sP0_iProver_def,composition(converse(X0),complement(composition(X0,complement(sP1_iProver_def))))) = join(sP1_iProver_def,meet(sP0_iProver_def,complement(sP6_iProver_def))),
inference(theory_normalisation,[status(thm)],[c_231819,c_55,c_54]) ).
cnf(c_231832,plain,
join(sP0_iProver_def,composition(converse(X0),complement(composition(X0,complement(sP1_iProver_def))))) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_231831,c_222436]) ).
cnf(c_233497,plain,
meet(sP6_iProver_def,sk1) = sk1,
inference(demodulation,[status(thm)],[c_223795,c_220907,c_221550]) ).
cnf(c_233765,plain,
join(sP4_iProver_def,meet(sP6_iProver_def,complement(sP3_iProver_def))) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_210944,c_219972]) ).
cnf(c_233795,plain,
join(meet(sP2_iProver_def,X0),meet(X0,sP3_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_142,c_219972]) ).
cnf(c_233802,plain,
join(meet(X0,X1),X1) = X1,
inference(superposition,[status(thm)],[c_219972,c_229188]) ).
cnf(c_233810,plain,
join(X0,meet(X1,X0)) = X0,
inference(theory_normalisation,[status(thm)],[c_233802,c_55,c_54]) ).
cnf(c_233824,plain,
join(sP4_iProver_def,meet(sP6_iProver_def,sP2_iProver_def)) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_233765,c_225591]) ).
cnf(c_234241,plain,
join(sP4_iProver_def,meet(sP2_iProver_def,sP6_iProver_def)) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_233824,c_220907]) ).
cnf(c_234243,plain,
join(sP4_iProver_def,sP6_iProver_def) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_234241,c_229188]) ).
cnf(c_234244,plain,
join(sP4_iProver_def,join(meet(sP2_iProver_def,sP6_iProver_def),X0)) = join(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_234241,c_55]) ).
cnf(c_234363,plain,
join(meet(sP2_iProver_def,X0),X0) = X0,
inference(superposition,[status(thm)],[c_233795,c_229188]) ).
cnf(c_234369,plain,
join(X0,meet(sP2_iProver_def,X0)) = X0,
inference(theory_normalisation,[status(thm)],[c_234363,c_55,c_54]) ).
cnf(c_235672,plain,
join(sP0_iProver_def,sP3_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_226128,c_229025]) ).
cnf(c_235675,plain,
join(sP0_iProver_def,join(sP3_iProver_def,X0)) = join(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_235672,c_55]) ).
cnf(c_236432,plain,
join(sP1_iProver_def,sk1) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_227335,c_233497]) ).
cnf(c_236435,plain,
join(sP1_iProver_def,join(sk1,X0)) = join(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_236432,c_55]) ).
cnf(c_236895,plain,
join(sk1,sP5_iProver_def) = join(sP6_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_236435,c_211205]) ).
cnf(c_236903,plain,
join(sP4_iProver_def,sP6_iProver_def) = join(sP5_iProver_def,sk1),
inference(theory_normalisation,[status(thm)],[c_236895,c_55,c_54]) ).
cnf(c_236904,plain,
join(sP5_iProver_def,sk1) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_236903,c_234243]) ).
cnf(c_237115,plain,
join(sP5_iProver_def,join(sk1,X0)) = join(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_236904,c_55]) ).
cnf(c_237279,plain,
join(sP6_iProver_def,complement(sP5_iProver_def)) = top,
inference(superposition,[status(thm)],[c_237115,c_226758]) ).
cnf(c_238635,plain,
join(meet(sP6_iProver_def,X0),composition(meet(sP6_iProver_def,X0),meet(sP6_iProver_def,X0))) = composition(meet(sP6_iProver_def,X0),meet(sP6_iProver_def,X0)),
inference(light_normalisation,[status(thm)],[c_228288,c_210938,c_228281]) ).
cnf(c_238636,plain,
composition(meet(sP6_iProver_def,X0),meet(sP6_iProver_def,X0)) = meet(sP6_iProver_def,X0),
inference(demodulation,[status(thm)],[c_238635,c_228321,c_228439,c_229522]) ).
cnf(c_238649,plain,
composition(sk1,sk1) = sk1,
inference(superposition,[status(thm)],[c_233497,c_238636]) ).
cnf(c_239012,plain,
join(sk1,composition(X0,sk1)) = composition(join(sk1,X0),sk1),
inference(superposition,[status(thm)],[c_238649,c_60]) ).
cnf(c_239573,plain,
join(sP3_iProver_def,sP4_iProver_def) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_229274,c_229025]) ).
cnf(c_239579,plain,
join(sP0_iProver_def,sP3_iProver_def) = join(sP0_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_239573,c_235675]) ).
cnf(c_239584,plain,
join(sP0_iProver_def,sP4_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_239579,c_235672]) ).
cnf(c_240679,plain,
join(X0,join(meet(X0,X1),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_229522,c_55]) ).
cnf(c_240715,plain,
join(sP6_iProver_def,meet(sk1,X0)) = join(sP6_iProver_def,sk1),
inference(superposition,[status(thm)],[c_229522,c_211286]) ).
cnf(c_240738,plain,
join(sP6_iProver_def,meet(sk1,X0)) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_240715,c_210945]) ).
cnf(c_241270,plain,
join(sP6_iProver_def,join(meet(sk1,X0),X1)) = join(sP6_iProver_def,X1),
inference(superposition,[status(thm)],[c_240738,c_55]) ).
cnf(c_242757,plain,
join(sP6_iProver_def,complement(join(X0,sP0_iProver_def))) = join(sP6_iProver_def,sk1),
inference(superposition,[status(thm)],[c_213561,c_241270]) ).
cnf(c_242807,plain,
join(sP6_iProver_def,complement(join(X0,sP0_iProver_def))) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_242757,c_210945]) ).
cnf(c_243738,plain,
complement(meet(complement(X0),X1)) = join(X0,complement(X1)),
inference(superposition,[status(thm)],[c_228635,c_229010]) ).
cnf(c_243949,plain,
meet(complement(sP5_iProver_def),sP1_iProver_def) = complement(top),
inference(superposition,[status(thm)],[c_226818,c_229046]) ).
cnf(c_243953,plain,
meet(complement(sP6_iProver_def),join(X0,sP0_iProver_def)) = complement(sP6_iProver_def),
inference(superposition,[status(thm)],[c_242807,c_229046]) ).
cnf(c_243998,plain,
meet(complement(sP5_iProver_def),sP1_iProver_def) = zero,
inference(light_normalisation,[status(thm)],[c_243949,c_211010]) ).
cnf(c_244632,plain,
meet(complement(sP6_iProver_def),sP0_iProver_def) = complement(sP6_iProver_def),
inference(superposition,[status(thm)],[c_221550,c_243953]) ).
cnf(c_246322,plain,
meet(X0,complement(meet(complement(X0),X1))) = complement(complement(X0)),
inference(superposition,[status(thm)],[c_229522,c_229060]) ).
cnf(c_246387,plain,
meet(X0,join(X0,complement(X1))) = X0,
inference(light_normalisation,[status(thm)],[c_246322,c_228635,c_243738]) ).
cnf(c_246772,plain,
meet(sP1_iProver_def,complement(sP5_iProver_def)) = zero,
inference(demodulation,[status(thm)],[c_243998,c_220907]) ).
cnf(c_246778,plain,
join(meet(sP1_iProver_def,sP5_iProver_def),zero) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_246772,c_211013]) ).
cnf(c_246781,plain,
join(zero,meet(sP1_iProver_def,sP5_iProver_def)) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_246778,c_55,c_54]) ).
cnf(c_249739,plain,
join(complement(sP6_iProver_def),sP0_iProver_def) = join(sP1_iProver_def,complement(sP6_iProver_def)),
inference(superposition,[status(thm)],[c_233810,c_222559]) ).
cnf(c_249763,plain,
join(sP0_iProver_def,complement(sP6_iProver_def)) = join(sP1_iProver_def,complement(sP6_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_249739,c_55,c_54]) ).
cnf(c_249888,plain,
join(meet(X0,X1),join(X2,meet(complement(X1),X0))) = join(X2,X0),
inference(light_normalisation,[status(thm)],[c_211204,c_229057]) ).
cnf(c_249895,plain,
join(sP1_iProver_def,join(X0,meet(complement(sP6_iProver_def),sP0_iProver_def))) = join(X0,sP0_iProver_def),
inference(superposition,[status(thm)],[c_210941,c_249888]) ).
cnf(c_250009,plain,
join(sP1_iProver_def,join(X0,complement(sP6_iProver_def))) = join(X0,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_249895,c_244632]) ).
cnf(c_250779,plain,
join(sP1_iProver_def,complement(sP4_iProver_def)) = join(sP2_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_229644,c_250009]) ).
cnf(c_250789,plain,
join(sP5_iProver_def,complement(sP6_iProver_def)) = join(sP4_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_250009,c_211284]) ).
cnf(c_250800,plain,
join(composition(converse(X0),complement(composition(X0,complement(sP1_iProver_def)))),sP0_iProver_def) = join(sP1_iProver_def,complement(sP6_iProver_def)),
inference(superposition,[status(thm)],[c_250009,c_231778]) ).
cnf(c_250813,plain,
join(sP5_iProver_def,complement(sP6_iProver_def)) = join(sP0_iProver_def,sP4_iProver_def),
inference(theory_normalisation,[status(thm)],[c_250789,c_55,c_54]) ).
cnf(c_250814,plain,
join(sP5_iProver_def,complement(sP6_iProver_def)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_250813,c_239584]) ).
cnf(c_250817,plain,
join(sP1_iProver_def,complement(sP4_iProver_def)) = join(sP0_iProver_def,sP2_iProver_def),
inference(theory_normalisation,[status(thm)],[c_250779,c_55,c_54]) ).
cnf(c_250818,plain,
join(sP1_iProver_def,complement(sP4_iProver_def)) = top,
inference(light_normalisation,[status(thm)],[c_250817,c_214058]) ).
cnf(c_250850,plain,
join(sP0_iProver_def,composition(converse(X0),complement(composition(X0,complement(sP1_iProver_def))))) = join(sP1_iProver_def,complement(sP6_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_250800,c_55,c_54]) ).
cnf(c_250851,plain,
join(sP0_iProver_def,complement(sP6_iProver_def)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_250850,c_249763,c_231832]) ).
cnf(c_251570,plain,
meet(complement(sP5_iProver_def),sP6_iProver_def) = complement(sP0_iProver_def),
inference(superposition,[status(thm)],[c_250814,c_229046]) ).
cnf(c_251580,plain,
meet(complement(sP5_iProver_def),sP6_iProver_def) = sk1,
inference(light_normalisation,[status(thm)],[c_251570,c_227332]) ).
cnf(c_251595,plain,
meet(complement(sP1_iProver_def),sP4_iProver_def) = complement(top),
inference(superposition,[status(thm)],[c_250818,c_229046]) ).
cnf(c_251600,plain,
meet(complement(sP1_iProver_def),sP4_iProver_def) = zero,
inference(light_normalisation,[status(thm)],[c_251595,c_211010]) ).
cnf(c_251618,plain,
meet(complement(sP0_iProver_def),sP6_iProver_def) = complement(sP0_iProver_def),
inference(superposition,[status(thm)],[c_250851,c_229046]) ).
cnf(c_251627,plain,
meet(sk1,sP6_iProver_def) = sk1,
inference(light_normalisation,[status(thm)],[c_251618,c_227332]) ).
cnf(c_251687,plain,
join(meet(sP6_iProver_def,composition(X0,X1)),composition(meet(X0,converse(X1)),meet(X1,converse(X0)))) = composition(meet(X0,converse(X1)),meet(X1,converse(X0))),
inference(demodulation,[status(thm)],[c_220922,c_228424]) ).
cnf(c_252872,plain,
meet(sP6_iProver_def,complement(sP5_iProver_def)) = sk1,
inference(demodulation,[status(thm)],[c_251580,c_220907]) ).
cnf(c_252878,plain,
join(complement(sP5_iProver_def),sk1) = complement(sP5_iProver_def),
inference(superposition,[status(thm)],[c_252872,c_233810]) ).
cnf(c_252889,plain,
join(sk1,complement(sP5_iProver_def)) = complement(sP5_iProver_def),
inference(theory_normalisation,[status(thm)],[c_252878,c_55,c_54]) ).
cnf(c_252894,plain,
meet(sP4_iProver_def,complement(sP1_iProver_def)) = zero,
inference(demodulation,[status(thm)],[c_251600,c_220907]) ).
cnf(c_252902,plain,
join(meet(sP4_iProver_def,sP1_iProver_def),zero) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_252894,c_211013]) ).
cnf(c_252905,plain,
join(zero,meet(sP4_iProver_def,sP1_iProver_def)) = sP4_iProver_def,
inference(theory_normalisation,[status(thm)],[c_252902,c_55,c_54]) ).
cnf(c_263394,plain,
composition(join(sP6_iProver_def,sk1),sk1) = join(sk1,sk1),
inference(superposition,[status(thm)],[c_238649,c_228439]) ).
cnf(c_263523,plain,
join(sk1,sk1) = composition(sP6_iProver_def,sk1),
inference(light_normalisation,[status(thm)],[c_263394,c_210945]) ).
cnf(c_268087,plain,
join(sP1_iProver_def,complement(sP5_iProver_def)) = join(sP6_iProver_def,complement(sP5_iProver_def)),
inference(superposition,[status(thm)],[c_252889,c_236435]) ).
cnf(c_268093,plain,
join(sP1_iProver_def,complement(sP5_iProver_def)) = top,
inference(light_normalisation,[status(thm)],[c_268087,c_237279]) ).
cnf(c_268916,plain,
meet(complement(sP1_iProver_def),sP5_iProver_def) = complement(top),
inference(superposition,[status(thm)],[c_268093,c_229046]) ).
cnf(c_268921,plain,
meet(complement(sP1_iProver_def),sP5_iProver_def) = zero,
inference(light_normalisation,[status(thm)],[c_268916,c_211010]) ).
cnf(c_268930,plain,
meet(sP5_iProver_def,complement(sP1_iProver_def)) = zero,
inference(demodulation,[status(thm)],[c_268921,c_220907]) ).
cnf(c_268939,plain,
join(meet(sP1_iProver_def,sP5_iProver_def),zero) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_268930,c_219972]) ).
cnf(c_268940,plain,
join(zero,meet(sP1_iProver_def,sP5_iProver_def)) = sP5_iProver_def,
inference(theory_normalisation,[status(thm)],[c_268939,c_55,c_54]) ).
cnf(c_268941,plain,
sP1_iProver_def = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_268940,c_246781]) ).
cnf(c_269008,plain,
( sP1_iProver_def != sP1_iProver_def
| sP1_iProver_def != sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_146,c_268941]) ).
cnf(c_269009,plain,
sP1_iProver_def != sP4_iProver_def,
inference(equality_resolution_simp,[status(thm)],[c_269008]) ).
cnf(c_269624,plain,
composition(join(sk1,X0),sk1) = composition(join(sP6_iProver_def,X0),sk1),
inference(demodulation,[status(thm)],[c_239012,c_228439]) ).
cnf(c_269625,plain,
composition(join(X0,sk1),sk1) = composition(join(sP6_iProver_def,X0),sk1),
inference(superposition,[status(thm)],[c_54,c_269624]) ).
cnf(c_269637,plain,
composition(join(sP6_iProver_def,composition(X0,sk1)),sk1) = composition(composition(join(X0,sP6_iProver_def),sk1),sk1),
inference(superposition,[status(thm)],[c_228468,c_269624]) ).
cnf(c_271930,plain,
join(X0,join(X1,meet(X0,X2))) = join(X0,X1),
inference(superposition,[status(thm)],[c_54,c_240679]) ).
cnf(c_284290,plain,
join(composition(X0,sk1),composition(X1,sk1)) = composition(join(X0,composition(X1,sk1)),sk1),
inference(superposition,[status(thm)],[c_238649,c_211433]) ).
cnf(c_293502,plain,
composition(join(X0,sk1),sk1) = composition(join(X0,sP6_iProver_def),sk1),
inference(superposition,[status(thm)],[c_54,c_269625]) ).
cnf(c_313111,plain,
join(meet(sP2_iProver_def,X0),meet(X0,composition(sk1,composition(converse(sk1),X0)))) = meet(X0,composition(sk1,composition(converse(sk1),X0))),
inference(demodulation,[status(thm)],[c_211631,c_220907,c_230658]) ).
cnf(c_313126,plain,
join(meet(sP2_iProver_def,sP6_iProver_def),meet(sP6_iProver_def,composition(sk1,converse(sk1)))) = meet(sP6_iProver_def,composition(sk1,converse(sk1))),
inference(superposition,[status(thm)],[c_210938,c_313111]) ).
cnf(c_313950,plain,
join(sP6_iProver_def,meet(sP6_iProver_def,composition(sk1,converse(sk1)))) = join(sP6_iProver_def,meet(sP2_iProver_def,sP6_iProver_def)),
inference(superposition,[status(thm)],[c_313126,c_271930]) ).
cnf(c_313951,plain,
join(sP4_iProver_def,meet(sP6_iProver_def,composition(sk1,converse(sk1)))) = join(sP6_iProver_def,meet(sP6_iProver_def,composition(sk1,converse(sk1)))),
inference(superposition,[status(thm)],[c_313126,c_234244]) ).
cnf(c_313956,plain,
join(sP4_iProver_def,meet(sP6_iProver_def,composition(sk1,converse(sk1)))) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_313951,c_234369,c_313950]) ).
cnf(c_317230,plain,
composition(join(X0,sP6_iProver_def),sk1) = composition(join(sk1,X0),sk1),
inference(superposition,[status(thm)],[c_54,c_293502]) ).
cnf(c_323487,plain,
composition(composition(join(X0,sP6_iProver_def),sk1),X1) = composition(join(sk1,X0),composition(sk1,X1)),
inference(superposition,[status(thm)],[c_317230,c_58]) ).
cnf(c_329497,plain,
meet(X0,join(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_228635,c_246387]) ).
cnf(c_329607,plain,
meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_54,c_329497]) ).
cnf(c_332100,plain,
meet(join(X0,sk1),join(X0,sP6_iProver_def)) = join(X0,sk1),
inference(superposition,[status(thm)],[c_211207,c_329607]) ).
cnf(c_332170,plain,
meet(converse(sk1),sP6_iProver_def) = converse(sk1),
inference(superposition,[status(thm)],[c_228723,c_329607]) ).
cnf(c_347860,plain,
meet(join(X0,sP6_iProver_def),join(X0,sk1)) = join(X0,sk1),
inference(demodulation,[status(thm)],[c_332100,c_220907]) ).
cnf(c_347861,plain,
meet(join(sP6_iProver_def,X0),join(X0,sk1)) = join(X0,sk1),
inference(superposition,[status(thm)],[c_54,c_347860]) ).
cnf(c_351286,plain,
meet(sP6_iProver_def,join(sk1,sk1)) = join(sk1,sk1),
inference(superposition,[status(thm)],[c_210945,c_347861]) ).
cnf(c_351482,plain,
meet(sP6_iProver_def,composition(sP6_iProver_def,sk1)) = composition(sP6_iProver_def,sk1),
inference(light_normalisation,[status(thm)],[c_351286,c_263523]) ).
cnf(c_387968,plain,
meet(sP6_iProver_def,converse(sk1)) = converse(sk1),
inference(demodulation,[status(thm)],[c_332170,c_220907]) ).
cnf(c_387985,plain,
join(meet(sP6_iProver_def,composition(sP6_iProver_def,sk1)),composition(converse(sk1),meet(sk1,converse(sP6_iProver_def)))) = composition(converse(sk1),meet(sk1,converse(sP6_iProver_def))),
inference(superposition,[status(thm)],[c_387968,c_251687]) ).
cnf(c_388005,plain,
join(composition(sP6_iProver_def,sk1),composition(converse(sk1),sk1)) = composition(converse(sk1),sk1),
inference(light_normalisation,[status(thm)],[c_387985,c_228281,c_251627,c_351482]) ).
cnf(c_393485,plain,
composition(converse(sk1),sk1) = sk1,
inference(demodulation,[status(thm)],[c_388005,c_228321,c_228723,c_238649,c_284290,c_269624,c_269637,c_323487]) ).
cnf(c_393538,plain,
converse(sk1) = sk1,
inference(superposition,[status(thm)],[c_393485,c_211275]) ).
cnf(c_393609,plain,
join(sP4_iProver_def,meet(sP6_iProver_def,composition(sk1,sk1))) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_313956,c_393538]) ).
cnf(c_393631,plain,
join(sP4_iProver_def,sk1) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_393609,c_233497,c_238649]) ).
cnf(c_400670,plain,
join(sP4_iProver_def,join(sk1,complement(sP6_iProver_def))) = top,
inference(superposition,[status(thm)],[c_393631,c_211307]) ).
cnf(c_400710,plain,
join(sP4_iProver_def,complement(sP1_iProver_def)) = top,
inference(light_normalisation,[status(thm)],[c_400670,c_229089]) ).
cnf(c_404650,plain,
meet(complement(sP4_iProver_def),sP1_iProver_def) = complement(top),
inference(superposition,[status(thm)],[c_400710,c_229046]) ).
cnf(c_404660,plain,
meet(complement(sP4_iProver_def),sP1_iProver_def) = zero,
inference(light_normalisation,[status(thm)],[c_404650,c_211010]) ).
cnf(c_405710,plain,
meet(sP1_iProver_def,complement(sP4_iProver_def)) = zero,
inference(demodulation,[status(thm)],[c_404660,c_220907]) ).
cnf(c_405735,plain,
join(meet(sP4_iProver_def,sP1_iProver_def),zero) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_405710,c_219972]) ).
cnf(c_405740,plain,
join(zero,meet(sP4_iProver_def,sP1_iProver_def)) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_405735,c_55,c_54]) ).
cnf(c_405741,plain,
sP1_iProver_def = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_405740,c_252905]) ).
cnf(c_405742,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_405741,c_269009]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : REL027-4 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n019.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.32 % CPULimit : 300
% 0.17/0.32 % WCLimit : 300
% 0.17/0.32 % DateTime : Thu May 2 19:56:44 EDT 2024
% 0.17/0.33 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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
% 169.52/23.24 % SZS status Started for theBenchmark.p
% 169.52/23.24 % SZS status Unsatisfiable for theBenchmark.p
% 169.52/23.24
% 169.52/23.24 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 169.52/23.24
% 169.52/23.24 ------ iProver source info
% 169.52/23.24
% 169.52/23.24 git: date: 2024-05-02 19:28:25 +0000
% 169.52/23.24 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 169.52/23.24 git: non_committed_changes: false
% 169.52/23.24
% 169.52/23.24 ------ Parsing...successful
% 169.52/23.24
% 169.52/23.24
% 169.52/23.24
% 169.52/23.24 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 169.52/23.24
% 169.52/23.24 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 169.52/23.24
% 169.52/23.24 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 169.52/23.24 ------ Proving...
% 169.52/23.24 ------ Problem Properties
% 169.52/23.24
% 169.52/23.24
% 169.52/23.24 clauses 25
% 169.52/23.24 conjectures 2
% 169.52/23.24 EPR 2
% 169.52/23.24 Horn 25
% 169.52/23.24 unary 24
% 169.52/23.24 binary 1
% 169.52/23.24 lits 26
% 169.52/23.24 lits eq 26
% 169.52/23.24 fd_pure 0
% 169.52/23.24 fd_pseudo 0
% 169.52/23.24 fd_cond 0
% 169.52/23.24 fd_pseudo_cond 0
% 169.52/23.24 AC symbols 1
% 169.52/23.24
% 169.52/23.24 ------ Schedule dynamic 5 is on
% 169.52/23.24
% 169.52/23.24 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 169.52/23.24
% 169.52/23.24
% 169.52/23.24 ------
% 169.52/23.24 Current options:
% 169.52/23.24 ------
% 169.52/23.24
% 169.52/23.24
% 169.52/23.24
% 169.52/23.24
% 169.52/23.24 ------ Proving...
% 169.52/23.24 Proof_search_loop: time out after: 8038 full_loop iterations
% 169.52/23.24
% 169.52/23.24 ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 169.52/23.24
% 169.52/23.24
% 169.52/23.24 ------
% 169.52/23.24 Current options:
% 169.52/23.24 ------
% 169.52/23.24
% 169.52/23.24
% 169.52/23.24
% 169.52/23.24
% 169.52/23.24 ------ Proving...
% 169.52/23.24
% 169.52/23.24
% 169.52/23.24 % SZS status Unsatisfiable for theBenchmark.p
% 169.52/23.24
% 169.52/23.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 169.52/23.25
% 169.52/23.25
%------------------------------------------------------------------------------