%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : REL027-3 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 13:56:09 EDT 2024

% Result   : Unsatisfiable 156.75s 20.74s
% Output   : CNFRefutation 156.75s
% 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/sandbox/benchmark/theBenchmark.p',goals_17) ).

cnf(c_50,negated_conjecture,
    meet(complement(composition(sk1,top)),one) != meet(complement(sk1),one),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/REL001-1.ax',modular_law_2_16) ).

cnf(c_54,plain,
    join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).

cnf(c_59,plain,
    composition(X0,one) = X0,
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).

cnf(c_61,plain,
    converse(converse(X0)) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).

cnf(c_62,plain,
    join(converse(X0),converse(X1)) = converse(join(X0,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).

cnf(c_63,plain,
    composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/REL001-0.ax',converse_cancellativity_11) ).

cnf(c_65,plain,
    join(X0,complement(X0)) = top,
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_top_12) ).

cnf(c_66,plain,
    meet(X0,complement(X0)) = zero,
    file('/export/starexec/sandbox/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,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_85,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_124,plain,
    join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
    inference(demodulation,[status(thm)],[c_84,c_54,c_57]) ).

cnf(c_133,plain,
    join(one,sk1) = sP0_iProver_def,
    definition ).

cnf(c_134,plain,
    composition(sk1,top) = sP1_iProver_def,
    definition ).

cnf(c_135,plain,
    complement(sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_136,plain,
    meet(sP2_iProver_def,one) = sP3_iProver_def,
    definition ).

cnf(c_137,plain,
    complement(sk1) = sP4_iProver_def,
    definition ).

cnf(c_138,plain,
    meet(sP4_iProver_def,one) = sP5_iProver_def,
    definition ).

cnf(c_139,negated_conjecture,
    sP0_iProver_def = one,
    inference(demodulation,[status(thm)],[c_83,c_133]) ).

cnf(c_140,negated_conjecture,
    sP3_iProver_def != sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_50,c_137,c_138,c_134,c_135,c_136]) ).

cnf(c_235,plain,
    composition(X0,sP0_iProver_def) = X0,
    inference(light_normalisation,[status(thm)],[c_59,c_139]) ).

cnf(c_236,plain,
    join(sP0_iProver_def,sk1) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_133,c_139]) ).

cnf(c_237,plain,
    meet(sP2_iProver_def,sP0_iProver_def) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_136,c_139]) ).

cnf(c_238,plain,
    meet(sP4_iProver_def,sP0_iProver_def) = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_138,c_139]) ).

cnf(c_239,plain,
    join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
    inference(superposition,[status(thm)],[c_55,c_54]) ).

cnf(c_251,plain,
    join(meet(composition(X0,converse(X1)),X2),composition(meet(X0,composition(X2,X1)),meet(converse(X1),composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,X1)),meet(converse(X1),composition(converse(X0),X2))),
    inference(superposition,[status(thm)],[c_61,c_51]) ).

cnf(c_271,plain,
    join(meet(X0,X1),meet(composition(X0,meet(sP0_iProver_def,composition(converse(X0),X1))),X1)) = meet(composition(X0,meet(sP0_iProver_def,composition(converse(X0),X1))),X1),
    inference(superposition,[status(thm)],[c_235,c_52]) ).

cnf(c_272,plain,
    join(meet(composition(X0,X1),sP0_iProver_def),meet(composition(X0,meet(X1,converse(X0))),sP0_iProver_def)) = meet(composition(X0,meet(X1,converse(X0))),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_235,c_52]) ).

cnf(c_273,plain,
    join(meet(composition(converse(X0),X1),X2),meet(composition(converse(X0),meet(X1,composition(X0,X2))),X2)) = meet(composition(converse(X0),meet(X1,composition(X0,X2))),X2),
    inference(superposition,[status(thm)],[c_61,c_52]) ).

cnf(c_277,plain,
    join(sk1,sP4_iProver_def) = top,
    inference(superposition,[status(thm)],[c_137,c_65]) ).

cnf(c_278,plain,
    join(sP1_iProver_def,sP2_iProver_def) = top,
    inference(superposition,[status(thm)],[c_135,c_65]) ).

cnf(c_279,plain,
    join(sP4_iProver_def,sk1) = top,
    inference(theory_normalisation,[status(thm)],[c_277,c_55,c_54]) ).

cnf(c_304,plain,
    join(meet(composition(X0,sP0_iProver_def),X1),meet(meet(X0,composition(X1,converse(sP0_iProver_def))),X1)) = meet(meet(X0,composition(X1,converse(sP0_iProver_def))),X1),
    inference(superposition,[status(thm)],[c_235,c_53]) ).

cnf(c_305,plain,
    join(meet(composition(X0,converse(X1)),X2),meet(composition(meet(X0,composition(X2,X1)),converse(X1)),X2)) = meet(composition(meet(X0,composition(X2,X1)),converse(X1)),X2),
    inference(superposition,[status(thm)],[c_61,c_53]) ).

cnf(c_306,plain,
    join(meet(X0,X1),meet(meet(X0,composition(X1,converse(sP0_iProver_def))),X1)) = meet(meet(X0,composition(X1,converse(sP0_iProver_def))),X1),
    inference(demodulation,[status(thm)],[c_304,c_235]) ).

cnf(c_334,plain,
    complement(join(complement(X0),complement(X1))) = meet(X1,X0),
    inference(superposition,[status(thm)],[c_54,c_57]) ).

cnf(c_336,plain,
    meet(X0,complement(X0)) = complement(top),
    inference(superposition,[status(thm)],[c_65,c_57]) ).

cnf(c_337,plain,
    complement(join(sP4_iProver_def,complement(X0))) = meet(sk1,X0),
    inference(superposition,[status(thm)],[c_137,c_57]) ).

cnf(c_339,plain,
    complement(join(sP2_iProver_def,complement(X0))) = meet(sP1_iProver_def,X0),
    inference(superposition,[status(thm)],[c_135,c_57]) ).

cnf(c_340,plain,
    complement(join(complement(X0),sP4_iProver_def)) = meet(X0,sk1),
    inference(superposition,[status(thm)],[c_137,c_57]) ).

cnf(c_342,plain,
    complement(join(complement(X0),sP2_iProver_def)) = meet(X0,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_135,c_57]) ).

cnf(c_345,plain,
    join(join(complement(X0),complement(X1)),meet(X0,X1)) = top,
    inference(superposition,[status(thm)],[c_57,c_65]) ).

cnf(c_346,plain,
    complement(join(complement(X0),meet(X1,X2))) = meet(X0,join(complement(X1),complement(X2))),
    inference(superposition,[status(thm)],[c_57,c_57]) ).

cnf(c_347,plain,
    complement(top) = zero,
    inference(demodulation,[status(thm)],[c_336,c_66]) ).

cnf(c_348,plain,
    complement(join(sP2_iProver_def,complement(X0))) = meet(X0,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_342,c_54]) ).

cnf(c_349,plain,
    complement(join(sP4_iProver_def,complement(X0))) = meet(X0,sk1),
    inference(demodulation,[status(thm)],[c_340,c_54]) ).

cnf(c_350,plain,
    join(meet(X0,X1),join(complement(X0),complement(X1))) = top,
    inference(demodulation,[status(thm)],[c_345,c_54]) ).

cnf(c_351,plain,
    join(complement(X0),join(complement(X1),meet(X0,X1))) = top,
    inference(theory_normalisation,[status(thm)],[c_350,c_55,c_54]) ).

cnf(c_359,plain,
    complement(join(zero,complement(X0))) = meet(top,X0),
    inference(superposition,[status(thm)],[c_347,c_57]) ).

cnf(c_361,plain,
    join(top,zero) = top,
    inference(superposition,[status(thm)],[c_347,c_65]) ).

cnf(c_362,plain,
    complement(join(complement(X0),zero)) = meet(X0,top),
    inference(superposition,[status(thm)],[c_347,c_57]) ).

cnf(c_363,plain,
    complement(join(zero,complement(X0))) = meet(X0,top),
    inference(demodulation,[status(thm)],[c_362,c_54]) ).

cnf(c_386,plain,
    complement(join(sP4_iProver_def,sP4_iProver_def)) = meet(sk1,sk1),
    inference(superposition,[status(thm)],[c_137,c_337]) ).

cnf(c_387,plain,
    meet(sk1,join(complement(X0),complement(X1))) = complement(join(sP4_iProver_def,meet(X0,X1))),
    inference(superposition,[status(thm)],[c_57,c_337]) ).

cnf(c_392,plain,
    complement(join(meet(sk1,X0),complement(X1))) = meet(join(sP4_iProver_def,complement(X0)),X1),
    inference(superposition,[status(thm)],[c_337,c_57]) ).

cnf(c_395,plain,
    complement(join(complement(X0),meet(sk1,X1))) = meet(X0,join(sP4_iProver_def,complement(X1))),
    inference(superposition,[status(thm)],[c_337,c_57]) ).

cnf(c_409,plain,
    complement(join(meet(sk1,sk1),complement(X0))) = meet(join(sP4_iProver_def,sP4_iProver_def),X0),
    inference(superposition,[status(thm)],[c_386,c_57]) ).

cnf(c_411,plain,
    join(join(sP4_iProver_def,sP4_iProver_def),meet(sk1,sk1)) = top,
    inference(superposition,[status(thm)],[c_386,c_65]) ).

cnf(c_412,plain,
    complement(join(complement(X0),meet(sk1,sk1))) = meet(X0,join(sP4_iProver_def,sP4_iProver_def)),
    inference(superposition,[status(thm)],[c_386,c_57]) ).

cnf(c_413,plain,
    join(sP4_iProver_def,join(sP4_iProver_def,meet(sk1,sk1))) = top,
    inference(theory_normalisation,[status(thm)],[c_411,c_55,c_54]) ).

cnf(c_450,plain,
    join(meet(composition(X0,X1),X2),join(meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2),X3)) = join(meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2),X3),
    inference(superposition,[status(thm)],[c_53,c_55]) ).

cnf(c_451,plain,
    join(X0,join(complement(X0),X1)) = join(top,X1),
    inference(superposition,[status(thm)],[c_65,c_55]) ).

cnf(c_452,plain,
    join(sP0_iProver_def,join(sk1,X0)) = join(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_236,c_55]) ).

cnf(c_455,plain,
    join(top,join(zero,X0)) = join(top,X0),
    inference(superposition,[status(thm)],[c_361,c_55]) ).

cnf(c_500,plain,
    meet(sP1_iProver_def,join(complement(X0),complement(X1))) = complement(join(sP2_iProver_def,meet(X0,X1))),
    inference(superposition,[status(thm)],[c_57,c_339]) ).

cnf(c_501,plain,
    complement(join(sP2_iProver_def,sP2_iProver_def)) = meet(sP1_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_135,c_339]) ).

cnf(c_544,plain,
    complement(join(meet(sP1_iProver_def,sP1_iProver_def),complement(X0))) = meet(join(sP2_iProver_def,sP2_iProver_def),X0),
    inference(superposition,[status(thm)],[c_501,c_57]) ).

cnf(c_546,plain,
    join(join(sP2_iProver_def,sP2_iProver_def),meet(sP1_iProver_def,sP1_iProver_def)) = top,
    inference(superposition,[status(thm)],[c_501,c_65]) ).

cnf(c_547,plain,
    complement(join(complement(X0),meet(sP1_iProver_def,sP1_iProver_def))) = meet(X0,join(sP2_iProver_def,sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_501,c_57]) ).

cnf(c_548,plain,
    join(sP2_iProver_def,join(sP2_iProver_def,meet(sP1_iProver_def,sP1_iProver_def))) = top,
    inference(demodulation,[status(thm)],[c_546,c_55]) ).

cnf(c_629,plain,
    complement(join(complement(X0),meet(X1,sP1_iProver_def))) = meet(X0,join(sP2_iProver_def,complement(X1))),
    inference(superposition,[status(thm)],[c_348,c_57]) ).

cnf(c_663,plain,
    composition(X0,composition(sP0_iProver_def,X1)) = composition(X0,X1),
    inference(superposition,[status(thm)],[c_235,c_58]) ).

cnf(c_748,plain,
    meet(sP4_iProver_def,sk1) = complement(top),
    inference(superposition,[status(thm)],[c_65,c_349]) ).

cnf(c_766,plain,
    complement(join(meet(X0,sk1),complement(X1))) = meet(join(sP4_iProver_def,complement(X0)),X1),
    inference(superposition,[status(thm)],[c_349,c_57]) ).

cnf(c_767,plain,
    meet(join(sP4_iProver_def,complement(X0)),meet(X0,sk1)) = zero,
    inference(superposition,[status(thm)],[c_349,c_66]) ).

cnf(c_769,plain,
    complement(join(complement(X0),meet(X1,sk1))) = meet(X0,join(sP4_iProver_def,complement(X1))),
    inference(superposition,[status(thm)],[c_349,c_57]) ).

cnf(c_770,plain,
    meet(X0,sk1) = meet(sk1,X0),
    inference(superposition,[status(thm)],[c_349,c_337]) ).

cnf(c_771,plain,
    meet(sP4_iProver_def,sk1) = zero,
    inference(light_normalisation,[status(thm)],[c_748,c_347]) ).

cnf(c_799,plain,
    join(meet(sk1,composition(X0,X1)),composition(meet(X0,composition(sk1,converse(X1))),meet(X1,composition(converse(X0),sk1)))) = composition(meet(X0,composition(sk1,converse(X1))),meet(X1,composition(converse(X0),sk1))),
    inference(superposition,[status(thm)],[c_770,c_51]) ).

cnf(c_800,plain,
    join(meet(composition(X0,X1),sk1),meet(sk1,composition(X0,meet(X1,composition(converse(X0),sk1))))) = meet(sk1,composition(X0,meet(X1,composition(converse(X0),sk1)))),
    inference(superposition,[status(thm)],[c_770,c_52]) ).

cnf(c_803,plain,
    join(meet(sk1,composition(X0,X1)),meet(sk1,composition(X0,meet(X1,composition(converse(X0),sk1))))) = meet(sk1,composition(X0,meet(X1,composition(converse(X0),sk1)))),
    inference(demodulation,[status(thm)],[c_800,c_770]) ).

cnf(c_854,plain,
    complement(join(zero,meet(sk1,X0))) = meet(top,join(sP4_iProver_def,complement(X0))),
    inference(superposition,[status(thm)],[c_337,c_359]) ).

cnf(c_868,plain,
    complement(join(meet(top,X0),complement(X1))) = meet(join(zero,complement(X0)),X1),
    inference(superposition,[status(thm)],[c_359,c_57]) ).

cnf(c_869,plain,
    meet(join(zero,complement(X0)),meet(top,X0)) = zero,
    inference(superposition,[status(thm)],[c_359,c_66]) ).

cnf(c_994,plain,
    meet(zero,top) = complement(top),
    inference(superposition,[status(thm)],[c_65,c_363]) ).

cnf(c_1022,plain,
    meet(zero,top) = zero,
    inference(light_normalisation,[status(thm)],[c_994,c_347]) ).

cnf(c_1098,plain,
    converse(join(converse(X0),X1)) = join(X0,converse(X1)),
    inference(superposition,[status(thm)],[c_61,c_62]) ).

cnf(c_1140,plain,
    join(top,complement(zero)) = join(top,top),
    inference(superposition,[status(thm)],[c_65,c_455]) ).

cnf(c_1194,plain,
    converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
    inference(superposition,[status(thm)],[c_61,c_63]) ).

cnf(c_1195,plain,
    converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[status(thm)],[c_61,c_63]) ).

cnf(c_1361,plain,
    join(complement(top),composition(converse(sk1),complement(sP1_iProver_def))) = complement(top),
    inference(superposition,[status(thm)],[c_134,c_85]) ).

cnf(c_1368,plain,
    join(zero,composition(converse(sk1),sP2_iProver_def)) = zero,
    inference(light_normalisation,[status(thm)],[c_1361,c_135,c_347]) ).

cnf(c_1554,plain,
    join(zero,complement(join(complement(X0),complement(X0)))) = X0,
    inference(superposition,[status(thm)],[c_66,c_124]) ).

cnf(c_1555,plain,
    join(sP3_iProver_def,complement(join(complement(sP2_iProver_def),sP0_iProver_def))) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_237,c_124]) ).

cnf(c_1556,plain,
    join(sP5_iProver_def,complement(join(complement(sP4_iProver_def),sP0_iProver_def))) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_238,c_124]) ).

cnf(c_1572,plain,
    join(zero,complement(join(complement(sP4_iProver_def),sk1))) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_771,c_124]) ).

cnf(c_1574,plain,
    join(zero,complement(join(complement(zero),top))) = zero,
    inference(superposition,[status(thm)],[c_1022,c_124]) ).

cnf(c_1575,plain,
    join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
    inference(superposition,[status(thm)],[c_57,c_124]) ).

cnf(c_1578,plain,
    join(meet(X0,complement(complement(X0))),complement(top)) = X0,
    inference(superposition,[status(thm)],[c_65,c_124]) ).

cnf(c_1580,plain,
    join(meet(sk1,X0),complement(join(sP4_iProver_def,X0))) = sk1,
    inference(superposition,[status(thm)],[c_137,c_124]) ).

cnf(c_1582,plain,
    join(meet(sP1_iProver_def,X0),complement(join(sP2_iProver_def,X0))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_135,c_124]) ).

cnf(c_1584,plain,
    join(meet(join(sP4_iProver_def,complement(X0)),X1),complement(join(meet(X0,sk1),X1))) = join(sP4_iProver_def,complement(X0)),
    inference(superposition,[status(thm)],[c_349,c_124]) ).

cnf(c_1588,plain,
    join(meet(join(zero,complement(X0)),X1),complement(join(meet(X0,top),X1))) = join(zero,complement(X0)),
    inference(superposition,[status(thm)],[c_363,c_124]) ).

cnf(c_1597,plain,
    join(zero,complement(join(top,complement(zero)))) = zero,
    inference(demodulation,[status(thm)],[c_1574,c_54]) ).

cnf(c_1598,plain,
    join(zero,complement(join(top,top))) = zero,
    inference(light_normalisation,[status(thm)],[c_1597,c_1140]) ).

cnf(c_1599,plain,
    join(zero,complement(join(sk1,complement(sP4_iProver_def)))) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_1572,c_54]) ).

cnf(c_1603,plain,
    join(sP5_iProver_def,complement(join(sP0_iProver_def,complement(sP4_iProver_def)))) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_1556,c_54]) ).

cnf(c_1604,plain,
    join(sP3_iProver_def,complement(join(sP0_iProver_def,complement(sP2_iProver_def)))) = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_1555,c_54]) ).

cnf(c_1605,plain,
    join(complement(top),meet(X0,complement(complement(X0)))) = X0,
    inference(demodulation,[status(thm)],[c_1578,c_54]) ).

cnf(c_1606,plain,
    join(zero,meet(X0,complement(complement(X0)))) = X0,
    inference(light_normalisation,[status(thm)],[c_1605,c_347]) ).

cnf(c_1607,plain,
    join(meet(X0,X1),meet(X0,complement(X1))) = X0,
    inference(demodulation,[status(thm)],[c_1575,c_54]) ).

cnf(c_1608,plain,
    join(zero,meet(X0,X0)) = X0,
    inference(demodulation,[status(thm)],[c_1554,c_57]) ).

cnf(c_1650,plain,
    join(top,meet(X0,X0)) = join(top,X0),
    inference(superposition,[status(thm)],[c_1608,c_455]) ).

cnf(c_1660,plain,
    meet(top,join(top,top)) = complement(zero),
    inference(superposition,[status(thm)],[c_1598,c_359]) ).

cnf(c_1668,plain,
    join(complement(zero),complement(join(complement(top),join(top,top)))) = top,
    inference(superposition,[status(thm)],[c_1660,c_124]) ).

cnf(c_1669,plain,
    join(complement(zero),complement(join(zero,join(top,top)))) = top,
    inference(light_normalisation,[status(thm)],[c_1668,c_347]) ).

cnf(c_1670,plain,
    join(complement(zero),complement(join(top,join(top,zero)))) = top,
    inference(theory_normalisation,[status(thm)],[c_1669,c_55,c_54]) ).

cnf(c_1671,plain,
    join(complement(zero),complement(join(top,top))) = top,
    inference(ac_demodulation,[status(thm)],[c_1670,c_361,c_55,c_54]) ).

cnf(c_1887,plain,
    join(complement(X0),join(X1,composition(converse(X2),complement(composition(X2,X0))))) = join(X1,complement(X0)),
    inference(superposition,[status(thm)],[c_85,c_239]) ).

cnf(c_1889,plain,
    join(sP0_iProver_def,join(X0,sk1)) = join(X0,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_236,c_239]) ).

cnf(c_1890,plain,
    join(sP1_iProver_def,join(X0,sP2_iProver_def)) = join(X0,top),
    inference(superposition,[status(thm)],[c_278,c_239]) ).

cnf(c_1891,plain,
    join(sP4_iProver_def,join(X0,sk1)) = join(X0,top),
    inference(superposition,[status(thm)],[c_279,c_239]) ).

cnf(c_1962,plain,
    meet(top,join(sk1,complement(sP4_iProver_def))) = complement(sP4_iProver_def),
    inference(superposition,[status(thm)],[c_1599,c_359]) ).

cnf(c_3820,plain,
    join(meet(composition(X0,converse(composition(sP0_iProver_def,X1))),X2),composition(meet(X0,composition(X2,X1)),meet(converse(composition(sP0_iProver_def,X1)),composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,X1)),meet(converse(composition(sP0_iProver_def,X1)),composition(converse(X0),X2))),
    inference(superposition,[status(thm)],[c_663,c_251]) ).

cnf(c_4024,plain,
    join(sP0_iProver_def,join(sk1,X0)) = join(X0,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_54,c_1889]) ).

cnf(c_4047,plain,
    join(sP1_iProver_def,join(sP2_iProver_def,X0)) = join(X0,top),
    inference(superposition,[status(thm)],[c_54,c_1890]) ).

cnf(c_4340,plain,
    join(join(sP2_iProver_def,meet(sP1_iProver_def,sP1_iProver_def)),top) = join(sP1_iProver_def,top),
    inference(superposition,[status(thm)],[c_548,c_4047]) ).

cnf(c_4349,plain,
    join(top,top) = join(sP1_iProver_def,top),
    inference(demodulation,[status(thm)],[c_4340,c_54,c_55,c_239,c_1650,c_4047]) ).

cnf(c_4356,plain,
    join(complement(zero),complement(join(sP1_iProver_def,top))) = top,
    inference(demodulation,[status(thm)],[c_1671,c_4349]) ).

cnf(c_4358,plain,
    meet(top,join(sP1_iProver_def,top)) = complement(zero),
    inference(demodulation,[status(thm)],[c_1660,c_4349]) ).

cnf(c_4359,plain,
    join(zero,complement(join(sP1_iProver_def,top))) = zero,
    inference(demodulation,[status(thm)],[c_1598,c_4349]) ).

cnf(c_4559,plain,
    meet(complement(X0),X0) = complement(top),
    inference(superposition,[status(thm)],[c_65,c_334]) ).

cnf(c_4560,plain,
    meet(join(sP1_iProver_def,top),zero) = complement(top),
    inference(superposition,[status(thm)],[c_4356,c_334]) ).

cnf(c_4572,plain,
    complement(join(meet(sk1,sk1),complement(X0))) = meet(X0,join(sP4_iProver_def,sP4_iProver_def)),
    inference(superposition,[status(thm)],[c_386,c_334]) ).

cnf(c_4589,plain,
    complement(join(complement(X0),meet(sk1,sk1))) = meet(join(sP4_iProver_def,sP4_iProver_def),X0),
    inference(superposition,[status(thm)],[c_386,c_334]) ).

cnf(c_4610,plain,
    meet(X0,X1) = meet(X1,X0),
    inference(superposition,[status(thm)],[c_334,c_57]) ).

cnf(c_4611,plain,
    join(meet(X0,complement(X1)),meet(X1,X0)) = X0,
    inference(superposition,[status(thm)],[c_334,c_124]) ).

cnf(c_4612,plain,
    meet(complement(X0),X0) = zero,
    inference(light_normalisation,[status(thm)],[c_4559,c_347]) ).

cnf(c_4613,plain,
    meet(join(sP1_iProver_def,top),zero) = zero,
    inference(light_normalisation,[status(thm)],[c_4560,c_347]) ).

cnf(c_4617,plain,
    join(meet(X0,X1),meet(X1,complement(X0))) = X1,
    inference(demodulation,[status(thm)],[c_4611,c_54]) ).

cnf(c_4628,plain,
    meet(sP0_iProver_def,sP2_iProver_def) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_237,c_4610]) ).

cnf(c_4630,plain,
    meet(sP0_iProver_def,sP4_iProver_def) = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_238,c_4610]) ).

cnf(c_4846,plain,
    join(sP5_iProver_def,complement(join(complement(sP0_iProver_def),sP4_iProver_def))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_4630,c_124]) ).

cnf(c_4847,plain,
    join(sP5_iProver_def,meet(sP0_iProver_def,sk1)) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_4846,c_54,c_349]) ).

cnf(c_5078,plain,
    meet(meet(X0,sk1),join(sP4_iProver_def,complement(X0))) = zero,
    inference(superposition,[status(thm)],[c_349,c_4612]) ).

cnf(c_5443,plain,
    join(zero,complement(join(complement(join(sP1_iProver_def,top)),zero))) = join(sP1_iProver_def,top),
    inference(superposition,[status(thm)],[c_4613,c_124]) ).

cnf(c_5445,plain,
    join(zero,meet(top,join(sP1_iProver_def,top))) = join(sP1_iProver_def,top),
    inference(demodulation,[status(thm)],[c_5443,c_54,c_363,c_4610]) ).

cnf(c_5446,plain,
    join(zero,complement(zero)) = join(sP1_iProver_def,top),
    inference(light_normalisation,[status(thm)],[c_5445,c_4358]) ).

cnf(c_5447,plain,
    join(sP1_iProver_def,top) = top,
    inference(ac_demodulation,[status(thm)],[c_5446,c_65,c_55,c_54]) ).

cnf(c_5451,plain,
    join(zero,complement(top)) = zero,
    inference(demodulation,[status(thm)],[c_4359,c_5447]) ).

cnf(c_5452,plain,
    meet(top,top) = complement(zero),
    inference(demodulation,[status(thm)],[c_4358,c_5447]) ).

cnf(c_5455,plain,
    join(top,top) = top,
    inference(demodulation,[status(thm)],[c_4349,c_5447]) ).

cnf(c_5463,plain,
    join(zero,zero) = zero,
    inference(light_normalisation,[status(thm)],[c_5451,c_347]) ).

cnf(c_5466,plain,
    join(sP1_iProver_def,join(top,X0)) = join(top,X0),
    inference(superposition,[status(thm)],[c_5447,c_55]) ).

cnf(c_5472,plain,
    join(top,join(X0,top)) = join(X0,top),
    inference(superposition,[status(thm)],[c_5455,c_239]) ).

cnf(c_5476,plain,
    join(zero,join(zero,X0)) = join(zero,X0),
    inference(superposition,[status(thm)],[c_5463,c_55]) ).

cnf(c_5789,plain,
    join(top,top) = join(top,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_5466,c_1890]) ).

cnf(c_5791,plain,
    join(top,top) = join(sP2_iProver_def,top),
    inference(demodulation,[status(thm)],[c_5789,c_54]) ).

cnf(c_5792,plain,
    join(sP2_iProver_def,top) = top,
    inference(light_normalisation,[status(thm)],[c_5791,c_5455]) ).

cnf(c_6109,plain,
    join(zero,X0) = X0,
    inference(superposition,[status(thm)],[c_1606,c_5476]) ).

cnf(c_6127,plain,
    complement(complement(X0)) = meet(X0,top),
    inference(demodulation,[status(thm)],[c_363,c_6109]) ).

cnf(c_6128,plain,
    complement(complement(X0)) = meet(top,X0),
    inference(demodulation,[status(thm)],[c_359,c_6109]) ).

cnf(c_6132,plain,
    composition(converse(sk1),sP2_iProver_def) = zero,
    inference(demodulation,[status(thm)],[c_1368,c_6109]) ).

cnf(c_6133,plain,
    meet(X0,complement(complement(X0))) = X0,
    inference(demodulation,[status(thm)],[c_1606,c_6109]) ).

cnf(c_6134,plain,
    complement(join(sk1,complement(sP4_iProver_def))) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_1599,c_6109]) ).

cnf(c_6136,plain,
    meet(X0,X0) = X0,
    inference(demodulation,[status(thm)],[c_1608,c_6109]) ).

cnf(c_6142,plain,
    join(sP4_iProver_def,join(sP4_iProver_def,sk1)) = top,
    inference(demodulation,[status(thm)],[c_413,c_6136]) ).

cnf(c_6144,plain,
    complement(join(sP4_iProver_def,sP4_iProver_def)) = sk1,
    inference(demodulation,[status(thm)],[c_386,c_6136]) ).

cnf(c_6145,plain,
    complement(zero) = top,
    inference(demodulation,[status(thm)],[c_5452,c_6136]) ).

cnf(c_6154,plain,
    join(sP4_iProver_def,top) = top,
    inference(demodulation,[status(thm)],[c_6142,c_1891]) ).

cnf(c_6177,plain,
    complement(join(sP2_iProver_def,top)) = meet(sP1_iProver_def,zero),
    inference(superposition,[status(thm)],[c_6145,c_339]) ).

cnf(c_6178,plain,
    complement(join(sP4_iProver_def,top)) = meet(sk1,zero),
    inference(superposition,[status(thm)],[c_6145,c_337]) ).

cnf(c_6182,plain,
    complement(join(complement(X0),top)) = meet(zero,X0),
    inference(superposition,[status(thm)],[c_6145,c_334]) ).

cnf(c_6183,plain,
    complement(join(complement(X0),top)) = meet(X0,zero),
    inference(superposition,[status(thm)],[c_6145,c_57]) ).

cnf(c_6185,plain,
    meet(sk1,zero) = zero,
    inference(light_normalisation,[status(thm)],[c_6178,c_347,c_6154]) ).

cnf(c_6186,plain,
    meet(sP1_iProver_def,zero) = zero,
    inference(light_normalisation,[status(thm)],[c_6177,c_347,c_5792]) ).

cnf(c_6191,plain,
    complement(join(top,complement(X0))) = meet(X0,zero),
    inference(demodulation,[status(thm)],[c_6183,c_54]) ).

cnf(c_6192,plain,
    complement(join(top,complement(X0))) = meet(zero,X0),
    inference(demodulation,[status(thm)],[c_6182,c_54]) ).

cnf(c_6203,plain,
    join(X0,zero) = X0,
    inference(superposition,[status(thm)],[c_6109,c_54]) ).

cnf(c_6504,plain,
    join(zero,complement(join(complement(sk1),zero))) = sk1,
    inference(superposition,[status(thm)],[c_6185,c_124]) ).

cnf(c_6505,plain,
    complement(complement(sk1)) = sk1,
    inference(demodulation,[status(thm)],[c_6504,c_54,c_6109]) ).

cnf(c_6506,plain,
    complement(sP4_iProver_def) = sk1,
    inference(light_normalisation,[status(thm)],[c_6505,c_137]) ).

cnf(c_6507,plain,
    meet(top,join(sk1,sk1)) = sk1,
    inference(demodulation,[status(thm)],[c_1962,c_6506]) ).

cnf(c_6508,plain,
    join(sP5_iProver_def,complement(join(sP0_iProver_def,sk1))) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_1603,c_6506]) ).

cnf(c_6509,plain,
    join(sP5_iProver_def,complement(sP0_iProver_def)) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_6508,c_236]) ).

cnf(c_6522,plain,
    complement(join(complement(X0),sk1)) = meet(X0,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_6506,c_57]) ).

cnf(c_6527,plain,
    complement(join(sk1,complement(X0))) = meet(X0,sP4_iProver_def),
    inference(demodulation,[status(thm)],[c_6522,c_54]) ).

cnf(c_6581,plain,
    join(zero,complement(join(complement(sP1_iProver_def),zero))) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_6186,c_124]) ).

cnf(c_6584,plain,
    complement(complement(sP1_iProver_def)) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_6581,c_54,c_6109]) ).

cnf(c_6585,plain,
    complement(sP2_iProver_def) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_6584,c_135]) ).

cnf(c_6588,plain,
    join(sP3_iProver_def,complement(join(sP0_iProver_def,sP1_iProver_def))) = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_1604,c_6585]) ).

cnf(c_6597,plain,
    complement(join(sP4_iProver_def,sP1_iProver_def)) = meet(sk1,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_6585,c_337]) ).

cnf(c_6604,plain,
    complement(join(sP1_iProver_def,sP4_iProver_def)) = meet(sP2_iProver_def,sk1),
    inference(demodulation,[status(thm)],[c_6597,c_54,c_4610]) ).

cnf(c_6624,plain,
    join(meet(X0,zero),complement(complement(X0))) = X0,
    inference(superposition,[status(thm)],[c_6203,c_124]) ).

cnf(c_6641,plain,
    join(meet(X0,zero),meet(X0,top)) = X0,
    inference(light_normalisation,[status(thm)],[c_6624,c_6127]) ).

cnf(c_6642,plain,
    join(meet(X0,top),meet(X0,zero)) = X0,
    inference(theory_normalisation,[status(thm)],[c_6641,c_55,c_54]) ).

cnf(c_6989,plain,
    join(sP5_iProver_def,join(complement(sP0_iProver_def),X0)) = join(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_6509,c_55]) ).

cnf(c_7001,plain,
    meet(join(sP4_iProver_def,complement(X0)),top) = complement(meet(sk1,X0)),
    inference(superposition,[status(thm)],[c_337,c_6127]) ).

cnf(c_7005,plain,
    meet(join(sP4_iProver_def,sP4_iProver_def),top) = complement(sk1),
    inference(superposition,[status(thm)],[c_6144,c_6127]) ).

cnf(c_7031,plain,
    meet(top,join(sP4_iProver_def,sP4_iProver_def)) = complement(sk1),
    inference(demodulation,[status(thm)],[c_7005,c_4610]) ).

cnf(c_7032,plain,
    meet(top,join(sP4_iProver_def,sP4_iProver_def)) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_7031,c_137]) ).

cnf(c_7040,plain,
    meet(top,join(sP4_iProver_def,complement(X0))) = complement(meet(sk1,X0)),
    inference(demodulation,[status(thm)],[c_7001,c_4610]) ).

cnf(c_7202,plain,
    complement(join(meet(top,X0),complement(X1))) = meet(X1,complement(X0)),
    inference(superposition,[status(thm)],[c_6128,c_334]) ).

cnf(c_7300,plain,
    meet(X0,meet(X0,top)) = X0,
    inference(light_normalisation,[status(thm)],[c_6133,c_6127]) ).

cnf(c_7301,plain,
    meet(X0,meet(top,X0)) = X0,
    inference(superposition,[status(thm)],[c_4610,c_7300]) ).

cnf(c_7335,plain,
    complement(join(sk1,sk1)) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_6134,c_6506]) ).

cnf(c_7345,plain,
    meet(sk1,join(sk1,sk1)) = complement(join(sP4_iProver_def,sP4_iProver_def)),
    inference(superposition,[status(thm)],[c_7335,c_337]) ).

cnf(c_7356,plain,
    meet(sk1,join(sk1,sk1)) = sk1,
    inference(light_normalisation,[status(thm)],[c_7345,c_6144]) ).

cnf(c_7621,plain,
    meet(join(sP4_iProver_def,sP4_iProver_def),sP4_iProver_def) = join(sP4_iProver_def,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_7032,c_7301]) ).

cnf(c_7625,plain,
    meet(join(sk1,sk1),sk1) = join(sk1,sk1),
    inference(superposition,[status(thm)],[c_6507,c_7301]) ).

cnf(c_7638,plain,
    meet(sk1,join(sk1,sk1)) = join(sk1,sk1),
    inference(demodulation,[status(thm)],[c_7625,c_4610]) ).

cnf(c_7639,plain,
    join(sk1,sk1) = sk1,
    inference(light_normalisation,[status(thm)],[c_7638,c_7356]) ).

cnf(c_7641,plain,
    meet(sP4_iProver_def,join(sP4_iProver_def,sP4_iProver_def)) = join(sP4_iProver_def,sP4_iProver_def),
    inference(demodulation,[status(thm)],[c_7621,c_4610]) ).

cnf(c_7654,plain,
    join(sk1,join(sk1,X0)) = join(sk1,X0),
    inference(superposition,[status(thm)],[c_7639,c_55]) ).

cnf(c_7821,plain,
    join(join(sP1_iProver_def,sP4_iProver_def),meet(sP2_iProver_def,sk1)) = top,
    inference(superposition,[status(thm)],[c_6604,c_65]) ).

cnf(c_7824,plain,
    join(sP1_iProver_def,join(sP4_iProver_def,meet(sP2_iProver_def,sk1))) = top,
    inference(demodulation,[status(thm)],[c_7821,c_55]) ).

cnf(c_9750,plain,
    meet(join(sP4_iProver_def,sP4_iProver_def),sP4_iProver_def) = complement(join(sk1,sk1)),
    inference(superposition,[status(thm)],[c_6144,c_6527]) ).

cnf(c_9800,plain,
    meet(sP4_iProver_def,join(sP4_iProver_def,sP4_iProver_def)) = complement(join(sk1,sk1)),
    inference(demodulation,[status(thm)],[c_9750,c_4610]) ).

cnf(c_9801,plain,
    join(sP4_iProver_def,sP4_iProver_def) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_9800,c_137,c_7639,c_7641]) ).

cnf(c_11877,plain,
    join(complement(X0),join(complement(X0),X0)) = top,
    inference(superposition,[status(thm)],[c_6136,c_351]) ).

cnf(c_11879,plain,
    join(complement(sP0_iProver_def),join(complement(sP2_iProver_def),sP3_iProver_def)) = top,
    inference(superposition,[status(thm)],[c_4628,c_351]) ).

cnf(c_11895,plain,
    join(meet(X0,join(complement(X1),meet(X0,X1))),complement(top)) = X0,
    inference(superposition,[status(thm)],[c_351,c_124]) ).

cnf(c_11917,plain,
    join(sP3_iProver_def,join(complement(sP0_iProver_def),complement(sP2_iProver_def))) = top,
    inference(demodulation,[status(thm)],[c_11879,c_54,c_239]) ).

cnf(c_11918,plain,
    join(sP3_iProver_def,join(complement(sP0_iProver_def),sP1_iProver_def)) = top,
    inference(light_normalisation,[status(thm)],[c_11917,c_6585]) ).

cnf(c_11919,plain,
    join(sP1_iProver_def,join(sP3_iProver_def,complement(sP0_iProver_def))) = top,
    inference(theory_normalisation,[status(thm)],[c_11918,c_55,c_54]) ).

cnf(c_11920,plain,
    join(top,complement(X0)) = top,
    inference(demodulation,[status(thm)],[c_11877,c_54,c_65]) ).

cnf(c_11953,plain,
    join(complement(top),meet(X0,join(complement(X1),meet(X0,X1)))) = X0,
    inference(demodulation,[status(thm)],[c_11895,c_54]) ).

cnf(c_11954,plain,
    join(zero,meet(X0,join(complement(X1),meet(X0,X1)))) = X0,
    inference(light_normalisation,[status(thm)],[c_11953,c_347]) ).

cnf(c_11955,plain,
    meet(X0,join(complement(X1),meet(X0,X1))) = X0,
    inference(ac_demodulation,[status(thm)],[c_11954,c_6109,c_55,c_54]) ).

cnf(c_11962,plain,
    meet(zero,X0) = complement(top),
    inference(demodulation,[status(thm)],[c_6192,c_11920]) ).

cnf(c_11963,plain,
    meet(X0,zero) = complement(top),
    inference(demodulation,[status(thm)],[c_6191,c_11920]) ).

cnf(c_11964,plain,
    meet(X0,zero) = zero,
    inference(light_normalisation,[status(thm)],[c_11963,c_347]) ).

cnf(c_11965,plain,
    join(meet(X0,top),zero) = X0,
    inference(demodulation,[status(thm)],[c_6642,c_11964]) ).

cnf(c_11971,plain,
    meet(X0,top) = X0,
    inference(demodulation,[status(thm)],[c_11965,c_6203]) ).

cnf(c_11975,plain,
    complement(complement(X0)) = X0,
    inference(demodulation,[status(thm)],[c_6127,c_11971]) ).

cnf(c_11980,plain,
    meet(top,X0) = X0,
    inference(demodulation,[status(thm)],[c_6128,c_11975]) ).

cnf(c_11988,plain,
    meet(zero,X0) = zero,
    inference(light_normalisation,[status(thm)],[c_11962,c_347]) ).

cnf(c_12222,plain,
    meet(X0,join(complement(X1),complement(top))) = complement(join(complement(X0),X1)),
    inference(superposition,[status(thm)],[c_11971,c_346]) ).

cnf(c_12232,plain,
    meet(X0,join(complement(X1),zero)) = complement(join(complement(X0),X1)),
    inference(light_normalisation,[status(thm)],[c_12222,c_347]) ).

cnf(c_12233,plain,
    meet(X0,join(zero,complement(X1))) = complement(join(complement(X0),X1)),
    inference(theory_normalisation,[status(thm)],[c_12232,c_55,c_54]) ).

cnf(c_12234,plain,
    complement(join(complement(X0),X1)) = meet(X0,complement(X1)),
    inference(ac_demodulation,[status(thm)],[c_12233,c_6109,c_55,c_54]) ).

cnf(c_12249,plain,
    meet(X0,complement(complement(X1))) = meet(X1,X0),
    inference(demodulation,[status(thm)],[c_334,c_12234]) ).

cnf(c_12250,plain,
    meet(X0,complement(complement(X1))) = meet(X0,X1),
    inference(demodulation,[status(thm)],[c_57,c_12234]) ).

cnf(c_12390,plain,
    join(top,X0) = top,
    inference(superposition,[status(thm)],[c_11975,c_11920]) ).

cnf(c_12420,plain,
    join(X0,top) = top,
    inference(demodulation,[status(thm)],[c_5472,c_12390]) ).

cnf(c_12426,plain,
    join(sP4_iProver_def,join(X0,sk1)) = top,
    inference(demodulation,[status(thm)],[c_1891,c_12420]) ).

cnf(c_12481,plain,
    complement(join(sP4_iProver_def,meet(X0,top))) = meet(sk1,join(complement(X0),zero)),
    inference(superposition,[status(thm)],[c_347,c_387]) ).

cnf(c_12497,plain,
    complement(join(sP4_iProver_def,X0)) = meet(sk1,complement(X0)),
    inference(demodulation,[status(thm)],[c_12481,c_6203,c_11971]) ).

cnf(c_12901,plain,
    complement(join(meet(sk1,X0),zero)) = meet(join(sP4_iProver_def,complement(X0)),top),
    inference(superposition,[status(thm)],[c_347,c_392]) ).

cnf(c_12932,plain,
    join(sP4_iProver_def,complement(X0)) = complement(meet(sk1,X0)),
    inference(demodulation,[status(thm)],[c_12901,c_6203,c_11971]) ).

cnf(c_13932,plain,
    complement(join(meet(sk1,sk1),complement(X0))) = meet(sP4_iProver_def,X0),
    inference(light_normalisation,[status(thm)],[c_409,c_4572,c_9801]) ).

cnf(c_13941,plain,
    complement(join(meet(sk1,sk1),X0)) = meet(sP4_iProver_def,complement(X0)),
    inference(superposition,[status(thm)],[c_11975,c_13932]) ).

cnf(c_13965,plain,
    join(meet(sk1,sk1),complement(X0)) = complement(meet(sP4_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_13932,c_11975]) ).

cnf(c_13987,plain,
    join(sk1,complement(X0)) = complement(meet(sP4_iProver_def,X0)),
    inference(demodulation,[status(thm)],[c_13965,c_6136]) ).

cnf(c_13988,plain,
    complement(join(sk1,X0)) = meet(sP4_iProver_def,complement(X0)),
    inference(demodulation,[status(thm)],[c_13941,c_6136]) ).

cnf(c_14093,plain,
    complement(join(complement(X0),meet(sk1,sk1))) = meet(X0,sP4_iProver_def),
    inference(light_normalisation,[status(thm)],[c_412,c_4589,c_9801]) ).

cnf(c_14099,plain,
    complement(join(X0,meet(sk1,sk1))) = meet(complement(X0),sP4_iProver_def),
    inference(superposition,[status(thm)],[c_11975,c_14093]) ).

cnf(c_14126,plain,
    join(complement(X0),meet(sk1,sk1)) = complement(meet(X0,sP4_iProver_def)),
    inference(superposition,[status(thm)],[c_14093,c_11975]) ).

cnf(c_14145,plain,
    join(sk1,complement(X0)) = complement(meet(X0,sP4_iProver_def)),
    inference(demodulation,[status(thm)],[c_14126,c_54,c_6136]) ).

cnf(c_14146,plain,
    complement(join(X0,sk1)) = meet(sP4_iProver_def,complement(X0)),
    inference(demodulation,[status(thm)],[c_14099,c_4610,c_6136]) ).

cnf(c_14493,plain,
    complement(join(X0,sP4_iProver_def)) = meet(sk1,complement(X0)),
    inference(superposition,[status(thm)],[c_54,c_12497]) ).

cnf(c_14504,plain,
    meet(sk1,complement(join(X0,sk1))) = complement(top),
    inference(superposition,[status(thm)],[c_12426,c_12497]) ).

cnf(c_14536,plain,
    meet(sk1,meet(sP4_iProver_def,complement(X0))) = zero,
    inference(light_normalisation,[status(thm)],[c_14504,c_347,c_14146]) ).

cnf(c_14595,plain,
    meet(sk1,meet(sP4_iProver_def,X0)) = zero,
    inference(superposition,[status(thm)],[c_11975,c_14536]) ).

cnf(c_15900,plain,
    join(sk1,complement(sP0_iProver_def)) = complement(sP5_iProver_def),
    inference(superposition,[status(thm)],[c_4630,c_14145]) ).

cnf(c_15904,plain,
    complement(join(meet(sk1,sk1),join(sk1,complement(X0)))) = meet(sP4_iProver_def,meet(X0,sP4_iProver_def)),
    inference(superposition,[status(thm)],[c_14145,c_13932]) ).

cnf(c_15933,plain,
    meet(sP4_iProver_def,meet(X0,sP4_iProver_def)) = meet(sP4_iProver_def,X0),
    inference(demodulation,[status(thm)],[c_15904,c_239,c_6136,c_7654,c_12250,c_13988]) ).

cnf(c_16098,plain,
    join(sk1,complement(sP5_iProver_def)) = complement(sP5_iProver_def),
    inference(superposition,[status(thm)],[c_15900,c_7654]) ).

cnf(c_17247,plain,
    meet(sP4_iProver_def,meet(sP4_iProver_def,X0)) = meet(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_4610,c_15933]) ).

cnf(c_17440,plain,
    join(X0,join(X1,complement(X0))) = join(top,X1),
    inference(superposition,[status(thm)],[c_54,c_451]) ).

cnf(c_17530,plain,
    join(X0,join(X1,complement(X0))) = top,
    inference(demodulation,[status(thm)],[c_17440,c_12390]) ).

cnf(c_19191,plain,
    meet(join(zero,complement(X0)),X0) = zero,
    inference(light_normalisation,[status(thm)],[c_869,c_11980]) ).

cnf(c_19240,plain,
    join(meet(join(zero,complement(composition(X0,converse(sP0_iProver_def)))),X0),meet(zero,X0)) = meet(zero,X0),
    inference(superposition,[status(thm)],[c_19191,c_306]) ).

cnf(c_19290,plain,
    meet(X0,complement(composition(X0,converse(sP0_iProver_def)))) = zero,
    inference(demodulation,[status(thm)],[c_19240,c_54,c_4610,c_11988,c_6109]) ).

cnf(c_19336,plain,
    complement(composition(top,converse(sP0_iProver_def))) = zero,
    inference(superposition,[status(thm)],[c_19290,c_11980]) ).

cnf(c_19491,plain,
    composition(top,converse(sP0_iProver_def)) = complement(zero),
    inference(superposition,[status(thm)],[c_19336,c_11975]) ).

cnf(c_19504,plain,
    composition(top,converse(sP0_iProver_def)) = top,
    inference(light_normalisation,[status(thm)],[c_19491,c_6145]) ).

cnf(c_19548,plain,
    join(meet(composition(X0,sP0_iProver_def),top),join(meet(composition(meet(X0,top),sP0_iProver_def),top),X1)) = join(meet(composition(meet(X0,top),sP0_iProver_def),top),X1),
    inference(superposition,[status(thm)],[c_19504,c_450]) ).

cnf(c_19560,plain,
    join(meet(X0,top),meet(meet(X0,top),top)) = meet(meet(X0,top),top),
    inference(superposition,[status(thm)],[c_19504,c_306]) ).

cnf(c_19568,plain,
    join(X0,X0) = X0,
    inference(demodulation,[status(thm)],[c_19560,c_11971]) ).

cnf(c_19572,plain,
    join(X0,join(X0,X1)) = join(X0,X1),
    inference(demodulation,[status(thm)],[c_19548,c_235,c_11971]) ).

cnf(c_20884,plain,
    join(sP5_iProver_def,sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_4847,c_19572]) ).

cnf(c_20885,plain,
    join(sP5_iProver_def,sP4_iProver_def) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_6509,c_19572]) ).

cnf(c_20886,plain,
    join(sP3_iProver_def,sP2_iProver_def) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_6588,c_19572]) ).

cnf(c_20956,plain,
    join(sP2_iProver_def,sP3_iProver_def) = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_20886,c_54]) ).

cnf(c_20957,plain,
    join(sP4_iProver_def,sP5_iProver_def) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_20885,c_54]) ).

cnf(c_20958,plain,
    join(sP0_iProver_def,sP5_iProver_def) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_20884,c_54]) ).

cnf(c_20973,plain,
    join(sP2_iProver_def,join(sP3_iProver_def,X0)) = join(sP2_iProver_def,X0),
    inference(superposition,[status(thm)],[c_20956,c_55]) ).

cnf(c_20974,plain,
    join(sP2_iProver_def,join(X0,sP3_iProver_def)) = join(X0,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_20956,c_239]) ).

cnf(c_20982,plain,
    join(sP4_iProver_def,join(sP5_iProver_def,X0)) = join(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_20957,c_55]) ).

cnf(c_21184,plain,
    join(sP0_iProver_def,join(sP5_iProver_def,X0)) = join(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_20958,c_55]) ).

cnf(c_21192,plain,
    complement(join(sP2_iProver_def,meet(X0,X0))) = meet(sP1_iProver_def,complement(X0)),
    inference(superposition,[status(thm)],[c_19568,c_500]) ).

cnf(c_21252,plain,
    complement(join(sP2_iProver_def,X0)) = meet(sP1_iProver_def,complement(X0)),
    inference(demodulation,[status(thm)],[c_21192,c_6136]) ).

cnf(c_21743,plain,
    join(sP2_iProver_def,join(X0,complement(sP3_iProver_def))) = join(sP2_iProver_def,top),
    inference(superposition,[status(thm)],[c_17530,c_20973]) ).

cnf(c_21770,plain,
    join(sP2_iProver_def,join(X0,complement(sP3_iProver_def))) = top,
    inference(demodulation,[status(thm)],[c_21743,c_12420]) ).

cnf(c_22208,plain,
    join(sP2_iProver_def,join(sP3_iProver_def,X0)) = join(X0,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_54,c_20974]) ).

cnf(c_22263,plain,
    join(sP4_iProver_def,complement(sP0_iProver_def)) = join(sP4_iProver_def,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_6509,c_20982]) ).

cnf(c_22289,plain,
    join(sP4_iProver_def,complement(sP0_iProver_def)) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_22263,c_19568]) ).

cnf(c_22430,plain,
    meet(sk1,complement(complement(sP0_iProver_def))) = complement(sP4_iProver_def),
    inference(superposition,[status(thm)],[c_22289,c_12497]) ).

cnf(c_22433,plain,
    meet(sP0_iProver_def,sk1) = complement(sP4_iProver_def),
    inference(demodulation,[status(thm)],[c_22430,c_4610,c_12250]) ).

cnf(c_22434,plain,
    meet(sP0_iProver_def,sk1) = sk1,
    inference(light_normalisation,[status(thm)],[c_22433,c_6506]) ).

cnf(c_22438,plain,
    join(sP5_iProver_def,sk1) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_4847,c_22434]) ).

cnf(c_22459,plain,
    meet(sP4_iProver_def,complement(sP5_iProver_def)) = complement(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_22438,c_14146]) ).

cnf(c_22885,plain,
    complement(meet(sP1_iProver_def,complement(X0))) = join(sP2_iProver_def,X0),
    inference(superposition,[status(thm)],[c_21252,c_11975]) ).

cnf(c_25179,plain,
    join(sP2_iProver_def,complement(X0)) = complement(meet(X0,sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_12249,c_22885]) ).

cnf(c_27755,plain,
    join(X0,converse(complement(converse(X0)))) = converse(top),
    inference(superposition,[status(thm)],[c_65,c_1098]) ).

cnf(c_27759,plain,
    join(X0,converse(top)) = converse(top),
    inference(superposition,[status(thm)],[c_12420,c_1098]) ).

cnf(c_27760,plain,
    join(X0,converse(zero)) = converse(converse(X0)),
    inference(superposition,[status(thm)],[c_6203,c_1098]) ).

cnf(c_27791,plain,
    join(X0,converse(zero)) = X0,
    inference(demodulation,[status(thm)],[c_27760,c_61]) ).

cnf(c_27842,plain,
    converse(zero) = zero,
    inference(superposition,[status(thm)],[c_27791,c_6109]) ).

cnf(c_27893,plain,
    composition(converse(X0),zero) = converse(composition(zero,X0)),
    inference(superposition,[status(thm)],[c_27842,c_63]) ).

cnf(c_27963,plain,
    converse(top) = top,
    inference(superposition,[status(thm)],[c_27759,c_12390]) ).

cnf(c_28081,plain,
    composition(converse(X0),top) = converse(composition(top,X0)),
    inference(superposition,[status(thm)],[c_27963,c_63]) ).

cnf(c_28336,plain,
    join(X0,converse(complement(converse(X0)))) = top,
    inference(light_normalisation,[status(thm)],[c_27755,c_27963]) ).

cnf(c_29155,plain,
    composition(converse(converse(sP0_iProver_def)),top) = converse(top),
    inference(superposition,[status(thm)],[c_19504,c_28081]) ).

cnf(c_29183,plain,
    composition(sP0_iProver_def,top) = converse(top),
    inference(demodulation,[status(thm)],[c_29155,c_61]) ).

cnf(c_29184,plain,
    composition(sP0_iProver_def,top) = top,
    inference(light_normalisation,[status(thm)],[c_29183,c_27963]) ).

cnf(c_29356,plain,
    join(composition(X0,top),top) = composition(join(X0,sP0_iProver_def),top),
    inference(superposition,[status(thm)],[c_29184,c_60]) ).

cnf(c_29359,plain,
    composition(join(X0,sP0_iProver_def),top) = top,
    inference(demodulation,[status(thm)],[c_29356,c_12420]) ).

cnf(c_29742,plain,
    composition(top,top) = top,
    inference(superposition,[status(thm)],[c_12390,c_29359]) ).

cnf(c_29795,plain,
    composition(top,composition(top,X0)) = composition(top,X0),
    inference(superposition,[status(thm)],[c_29742,c_58]) ).

cnf(c_29802,plain,
    join(complement(top),composition(converse(top),complement(top))) = complement(top),
    inference(superposition,[status(thm)],[c_29742,c_85]) ).

cnf(c_29807,plain,
    join(zero,composition(top,zero)) = zero,
    inference(light_normalisation,[status(thm)],[c_29802,c_347,c_27963]) ).

cnf(c_29808,plain,
    composition(top,zero) = zero,
    inference(ac_demodulation,[status(thm)],[c_29807,c_6109,c_55,c_54]) ).

cnf(c_30040,plain,
    join(composition(X0,zero),zero) = composition(join(X0,top),zero),
    inference(superposition,[status(thm)],[c_29808,c_60]) ).

cnf(c_30048,plain,
    composition(X0,zero) = composition(top,zero),
    inference(demodulation,[status(thm)],[c_30040,c_12420,c_6203]) ).

cnf(c_30049,plain,
    composition(X0,zero) = zero,
    inference(light_normalisation,[status(thm)],[c_30048,c_29808]) ).

cnf(c_30058,plain,
    converse(composition(zero,X0)) = zero,
    inference(demodulation,[status(thm)],[c_27893,c_30049]) ).

cnf(c_30422,plain,
    composition(zero,X0) = converse(zero),
    inference(superposition,[status(thm)],[c_30058,c_61]) ).

cnf(c_30424,plain,
    composition(zero,X0) = zero,
    inference(light_normalisation,[status(thm)],[c_30422,c_27842]) ).

cnf(c_30790,plain,
    complement(join(meet(sP1_iProver_def,sP1_iProver_def),X0)) = meet(join(sP2_iProver_def,sP2_iProver_def),complement(X0)),
    inference(superposition,[status(thm)],[c_11975,c_544]) ).

cnf(c_30895,plain,
    complement(join(sP1_iProver_def,X0)) = meet(sP2_iProver_def,complement(X0)),
    inference(demodulation,[status(thm)],[c_30790,c_6136,c_19568]) ).

cnf(c_31807,plain,
    join(complement(X0),meet(sP1_iProver_def,sP1_iProver_def)) = complement(meet(X0,join(sP2_iProver_def,sP2_iProver_def))),
    inference(superposition,[status(thm)],[c_547,c_11975]) ).

cnf(c_31835,plain,
    join(sP1_iProver_def,complement(X0)) = complement(meet(X0,sP2_iProver_def)),
    inference(demodulation,[status(thm)],[c_31807,c_54,c_6136,c_19568]) ).

cnf(c_38164,plain,
    meet(sP2_iProver_def,complement(join(sP3_iProver_def,complement(sP0_iProver_def)))) = complement(top),
    inference(superposition,[status(thm)],[c_11919,c_30895]) ).

cnf(c_38233,plain,
    meet(sP2_iProver_def,complement(join(sP3_iProver_def,complement(sP0_iProver_def)))) = zero,
    inference(light_normalisation,[status(thm)],[c_38164,c_347]) ).

cnf(c_39171,plain,
    join(sP1_iProver_def,complement(sP0_iProver_def)) = complement(sP3_iProver_def),
    inference(superposition,[status(thm)],[c_4628,c_31835]) ).

cnf(c_44644,plain,
    composition(converse(sP0_iProver_def),X0) = converse(converse(X0)),
    inference(superposition,[status(thm)],[c_235,c_1195]) ).

cnf(c_44646,plain,
    composition(converse(sP2_iProver_def),sk1) = converse(zero),
    inference(superposition,[status(thm)],[c_6132,c_1195]) ).

cnf(c_44707,plain,
    composition(converse(sP2_iProver_def),sk1) = zero,
    inference(light_normalisation,[status(thm)],[c_44646,c_27842]) ).

cnf(c_44709,plain,
    composition(converse(sP0_iProver_def),X0) = X0,
    inference(demodulation,[status(thm)],[c_44644,c_61]) ).

cnf(c_44832,plain,
    join(meet(sP2_iProver_def,sk1),meet(composition(sP2_iProver_def,meet(sP0_iProver_def,zero)),sk1)) = meet(composition(sP2_iProver_def,meet(sP0_iProver_def,zero)),sk1),
    inference(superposition,[status(thm)],[c_44707,c_271]) ).

cnf(c_44841,plain,
    meet(sP2_iProver_def,sk1) = zero,
    inference(demodulation,[status(thm)],[c_44832,c_4610,c_11964,c_6203,c_30049]) ).

cnf(c_44851,plain,
    join(sP1_iProver_def,join(sP4_iProver_def,zero)) = top,
    inference(demodulation,[status(thm)],[c_7824,c_44841]) ).

cnf(c_44853,plain,
    join(sP1_iProver_def,sP4_iProver_def) = top,
    inference(demodulation,[status(thm)],[c_44851,c_6203]) ).

cnf(c_45171,plain,
    meet(sk1,complement(sP1_iProver_def)) = complement(top),
    inference(superposition,[status(thm)],[c_44853,c_14493]) ).

cnf(c_45177,plain,
    meet(sk1,sP2_iProver_def) = zero,
    inference(light_normalisation,[status(thm)],[c_45171,c_135,c_347]) ).

cnf(c_46673,plain,
    converse(sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_44709,c_235]) ).

cnf(c_46687,plain,
    composition(converse(sP0_iProver_def),X0) = composition(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_44709,c_663]) ).

cnf(c_46699,plain,
    composition(sP0_iProver_def,X0) = X0,
    inference(demodulation,[status(thm)],[c_46687,c_44709]) ).

cnf(c_46847,plain,
    join(sP0_iProver_def,converse(complement(sP0_iProver_def))) = top,
    inference(superposition,[status(thm)],[c_46673,c_28336]) ).

cnf(c_58273,plain,
    join(meet(sk1,X0),meet(sk1,complement(X0))) = sk1,
    inference(light_normalisation,[status(thm)],[c_1580,c_12497]) ).

cnf(c_58281,plain,
    join(zero,meet(sk1,complement(sP2_iProver_def))) = sk1,
    inference(superposition,[status(thm)],[c_45177,c_58273]) ).

cnf(c_58323,plain,
    join(meet(sk1,sP2_iProver_def),meet(sk1,sP1_iProver_def)) = sk1,
    inference(superposition,[status(thm)],[c_6585,c_58273]) ).

cnf(c_58365,plain,
    join(meet(sk1,X0),sk1) = sk1,
    inference(superposition,[status(thm)],[c_58273,c_19572]) ).

cnf(c_58370,plain,
    join(sk1,meet(sk1,X0)) = sk1,
    inference(demodulation,[status(thm)],[c_58365,c_54]) ).

cnf(c_58374,plain,
    meet(sk1,complement(sP2_iProver_def)) = sk1,
    inference(demodulation,[status(thm)],[c_58281,c_6109]) ).

cnf(c_58375,plain,
    meet(sk1,sP1_iProver_def) = sk1,
    inference(light_normalisation,[status(thm)],[c_58374,c_6585]) ).

cnf(c_58379,plain,
    join(meet(sP1_iProver_def,sk1),meet(sP2_iProver_def,sk1)) = sk1,
    inference(demodulation,[status(thm)],[c_58323,c_54,c_4610]) ).

cnf(c_58380,plain,
    join(meet(sP1_iProver_def,sk1),zero) = sk1,
    inference(light_normalisation,[status(thm)],[c_58379,c_44841]) ).

cnf(c_58381,plain,
    join(zero,meet(sP1_iProver_def,sk1)) = sk1,
    inference(theory_normalisation,[status(thm)],[c_58380,c_55,c_54]) ).

cnf(c_58382,plain,
    meet(sP1_iProver_def,sk1) = sk1,
    inference(ac_demodulation,[status(thm)],[c_58381,c_6109,c_55,c_54]) ).

cnf(c_59411,plain,
    join(sP2_iProver_def,complement(sk1)) = complement(sk1),
    inference(superposition,[status(thm)],[c_58375,c_25179]) ).

cnf(c_59415,plain,
    join(sP2_iProver_def,sP4_iProver_def) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_59411,c_137]) ).

cnf(c_59802,plain,
    join(sP2_iProver_def,join(sP4_iProver_def,X0)) = join(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_59415,c_55]) ).

cnf(c_63687,plain,
    join(sP4_iProver_def,complement(sP3_iProver_def)) = top,
    inference(superposition,[status(thm)],[c_59802,c_21770]) ).

cnf(c_63689,plain,
    join(sP4_iProver_def,sP2_iProver_def) = join(sP4_iProver_def,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_59802,c_20974]) ).

cnf(c_63694,plain,
    join(sP2_iProver_def,sP4_iProver_def) = join(sP3_iProver_def,sP4_iProver_def),
    inference(demodulation,[status(thm)],[c_63689,c_54]) ).

cnf(c_63695,plain,
    join(sP3_iProver_def,sP4_iProver_def) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_63694,c_59415]) ).

cnf(c_63716,plain,
    meet(sk1,complement(sP3_iProver_def)) = complement(sP4_iProver_def),
    inference(superposition,[status(thm)],[c_63695,c_14493]) ).

cnf(c_63723,plain,
    meet(sk1,complement(sP3_iProver_def)) = sk1,
    inference(light_normalisation,[status(thm)],[c_63716,c_6506]) ).

cnf(c_63732,plain,
    meet(top,meet(sP3_iProver_def,sk1)) = zero,
    inference(superposition,[status(thm)],[c_63687,c_767]) ).

cnf(c_63748,plain,
    meet(sP3_iProver_def,sk1) = zero,
    inference(demodulation,[status(thm)],[c_63732,c_11980]) ).

cnf(c_66773,plain,
    join(meet(sP1_iProver_def,X0),meet(sP1_iProver_def,complement(X0))) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_1582,c_21252]) ).

cnf(c_66863,plain,
    join(meet(sP1_iProver_def,X0),sP1_iProver_def) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_66773,c_19572]) ).

cnf(c_66868,plain,
    join(sP1_iProver_def,meet(sP1_iProver_def,X0)) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_66863,c_54]) ).

cnf(c_67606,plain,
    join(sP1_iProver_def,sk1) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_58382,c_66868]) ).

cnf(c_67637,plain,
    join(sP1_iProver_def,join(sk1,X0)) = join(sP1_iProver_def,X0),
    inference(superposition,[status(thm)],[c_67606,c_55]) ).

cnf(c_68758,plain,
    join(meet(sk1,top),meet(sk1,composition(top,meet(top,composition(converse(top),sk1))))) = meet(sk1,composition(top,meet(top,composition(converse(top),sk1)))),
    inference(superposition,[status(thm)],[c_29742,c_803]) ).

cnf(c_68825,plain,
    meet(sk1,composition(top,composition(converse(top),sk1))) = sk1,
    inference(demodulation,[status(thm)],[c_68758,c_11971,c_11980,c_58370]) ).

cnf(c_68826,plain,
    meet(sk1,composition(top,composition(top,sk1))) = sk1,
    inference(light_normalisation,[status(thm)],[c_68825,c_27963]) ).

cnf(c_71311,plain,
    complement(join(zero,meet(sk1,X0))) = join(sP4_iProver_def,complement(X0)),
    inference(light_normalisation,[status(thm)],[c_854,c_7040,c_12932]) ).

cnf(c_72178,plain,
    join(sP1_iProver_def,complement(sP0_iProver_def)) = join(sP1_iProver_def,complement(sP5_iProver_def)),
    inference(superposition,[status(thm)],[c_15900,c_67637]) ).

cnf(c_72223,plain,
    join(sP1_iProver_def,complement(sP5_iProver_def)) = complement(sP3_iProver_def),
    inference(light_normalisation,[status(thm)],[c_72178,c_39171]) ).

cnf(c_73507,plain,
    meet(sk1,composition(top,sk1)) = sk1,
    inference(superposition,[status(thm)],[c_29795,c_68826]) ).

cnf(c_73516,plain,
    join(sP4_iProver_def,complement(composition(top,composition(top,sk1)))) = complement(join(zero,sk1)),
    inference(superposition,[status(thm)],[c_68826,c_71311]) ).

cnf(c_73536,plain,
    join(sP4_iProver_def,complement(composition(top,sk1))) = meet(sP4_iProver_def,complement(zero)),
    inference(demodulation,[status(thm)],[c_73516,c_14146,c_29795]) ).

cnf(c_73537,plain,
    join(sP4_iProver_def,complement(composition(top,sk1))) = meet(sP4_iProver_def,top),
    inference(light_normalisation,[status(thm)],[c_73536,c_6145]) ).

cnf(c_74830,plain,
    meet(X0,join(sP4_iProver_def,complement(composition(top,sk1)))) = complement(join(complement(X0),sk1)),
    inference(superposition,[status(thm)],[c_73507,c_395]) ).

cnf(c_74843,plain,
    meet(X0,join(sP4_iProver_def,complement(composition(top,sk1)))) = meet(sP4_iProver_def,X0),
    inference(demodulation,[status(thm)],[c_74830,c_12250,c_14146]) ).

cnf(c_74844,plain,
    meet(X0,meet(sP4_iProver_def,top)) = meet(sP4_iProver_def,X0),
    inference(light_normalisation,[status(thm)],[c_74843,c_73537]) ).

cnf(c_76623,plain,
    join(zero,meet(sP3_iProver_def,complement(sk1))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_63748,c_1607]) ).

cnf(c_76730,plain,
    join(meet(sP2_iProver_def,join(sP3_iProver_def,complement(sP0_iProver_def))),zero) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_38233,c_1607]) ).

cnf(c_76745,plain,
    join(meet(X0,sP4_iProver_def),meet(X0,sk1)) = X0,
    inference(superposition,[status(thm)],[c_6506,c_1607]) ).

cnf(c_76805,plain,
    join(meet(X0,X1),X0) = X0,
    inference(superposition,[status(thm)],[c_1607,c_19572]) ).

cnf(c_76812,plain,
    join(X0,meet(X0,X1)) = X0,
    inference(demodulation,[status(thm)],[c_76805,c_54]) ).

cnf(c_76821,plain,
    meet(sP3_iProver_def,complement(sk1)) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_76623,c_6109]) ).

cnf(c_76822,plain,
    meet(sP3_iProver_def,sP4_iProver_def) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_76821,c_137]) ).

cnf(c_76849,plain,
    meet(sP2_iProver_def,join(sP3_iProver_def,complement(sP0_iProver_def))) = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_76730,c_6203]) ).

cnf(c_77911,plain,
    join(sk1,complement(sP3_iProver_def)) = complement(sP3_iProver_def),
    inference(superposition,[status(thm)],[c_76822,c_14145]) ).

cnf(c_78048,plain,
    join(X0,meet(X1,X0)) = X0,
    inference(superposition,[status(thm)],[c_12249,c_76812]) ).

cnf(c_78190,plain,
    meet(X0,join(sP4_iProver_def,complement(complement(X0)))) = complement(complement(X0)),
    inference(superposition,[status(thm)],[c_76812,c_769]) ).

cnf(c_78194,plain,
    join(X0,converse(meet(converse(X0),X1))) = converse(converse(X0)),
    inference(superposition,[status(thm)],[c_76812,c_1098]) ).

cnf(c_78217,plain,
    join(sP4_iProver_def,meet(sP5_iProver_def,X0)) = join(sP4_iProver_def,sP5_iProver_def),
    inference(superposition,[status(thm)],[c_76812,c_20982]) ).

cnf(c_78270,plain,
    join(sP4_iProver_def,meet(sP5_iProver_def,X0)) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_78217,c_20957]) ).

cnf(c_78292,plain,
    join(X0,converse(meet(converse(X0),X1))) = X0,
    inference(demodulation,[status(thm)],[c_78194,c_61]) ).

cnf(c_78293,plain,
    meet(X0,join(sP4_iProver_def,X0)) = X0,
    inference(demodulation,[status(thm)],[c_78190,c_11975]) ).

cnf(c_78551,plain,
    join(X0,converse(meet(X1,converse(X0)))) = converse(converse(X0)),
    inference(superposition,[status(thm)],[c_78048,c_1098]) ).

cnf(c_78669,plain,
    join(X0,converse(meet(X1,converse(X0)))) = X0,
    inference(demodulation,[status(thm)],[c_78551,c_61]) ).

cnf(c_79197,plain,
    meet(meet(sP5_iProver_def,X0),sP4_iProver_def) = meet(sP5_iProver_def,X0),
    inference(superposition,[status(thm)],[c_78270,c_78293]) ).

cnf(c_79254,plain,
    meet(sP4_iProver_def,meet(sP5_iProver_def,X0)) = meet(sP5_iProver_def,X0),
    inference(demodulation,[status(thm)],[c_79197,c_4610]) ).

cnf(c_81343,plain,
    meet(join(zero,complement(X0)),X1) = meet(X1,complement(X0)),
    inference(light_normalisation,[status(thm)],[c_868,c_7202]) ).

cnf(c_81849,plain,
    join(join(sP3_iProver_def,complement(sP0_iProver_def)),sP2_iProver_def) = join(sP3_iProver_def,complement(sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_76849,c_78048]) ).

cnf(c_81858,plain,
    join(sP2_iProver_def,complement(sP0_iProver_def)) = join(sP3_iProver_def,complement(sP0_iProver_def)),
    inference(demodulation,[status(thm)],[c_81849,c_54,c_55,c_239,c_22208]) ).

cnf(c_83187,plain,
    join(meet(X0,sP4_iProver_def),meet(sk1,X0)) = X0,
    inference(superposition,[status(thm)],[c_4610,c_76745]) ).

cnf(c_84128,plain,
    join(sP0_iProver_def,converse(meet(converse(sP5_iProver_def),X0))) = join(sP0_iProver_def,sP5_iProver_def),
    inference(superposition,[status(thm)],[c_78292,c_21184]) ).

cnf(c_84191,plain,
    join(sP0_iProver_def,converse(meet(converse(sP5_iProver_def),X0))) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_84128,c_20958]) ).

cnf(c_84911,plain,
    meet(sk1,meet(sP5_iProver_def,X0)) = zero,
    inference(superposition,[status(thm)],[c_79254,c_14595]) ).

cnf(c_142196,plain,
    join(meet(complement(sP3_iProver_def),sP4_iProver_def),sk1) = complement(sP3_iProver_def),
    inference(superposition,[status(thm)],[c_63723,c_83187]) ).

cnf(c_142239,plain,
    join(sk1,meet(sP4_iProver_def,complement(sP3_iProver_def))) = complement(sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_142196,c_54,c_4610]) ).

cnf(c_152491,plain,
    meet(sP4_iProver_def,complement(meet(sP4_iProver_def,complement(sP3_iProver_def)))) = complement(complement(sP3_iProver_def)),
    inference(superposition,[status(thm)],[c_142239,c_13988]) ).

cnf(c_152501,plain,
    meet(sP4_iProver_def,join(sP3_iProver_def,sk1)) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_152491,c_54,c_11975,c_13987]) ).

cnf(c_152513,plain,
    join(sP3_iProver_def,meet(sP4_iProver_def,complement(join(sP3_iProver_def,sk1)))) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_152501,c_1607]) ).

cnf(c_152527,plain,
    join(sP3_iProver_def,meet(sP4_iProver_def,complement(sP3_iProver_def))) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_152513,c_14146,c_17247]) ).

cnf(c_152568,plain,
    join(sP2_iProver_def,meet(sP4_iProver_def,complement(sP3_iProver_def))) = join(sP2_iProver_def,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_152527,c_20973]) ).

cnf(c_152569,plain,
    join(sP2_iProver_def,meet(sP4_iProver_def,complement(sP3_iProver_def))) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_152568,c_59415]) ).

cnf(c_201051,plain,
    join(sP4_iProver_def,composition(converse(X0),complement(composition(X0,sP0_iProver_def)))) = join(sP5_iProver_def,complement(sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_85,c_6989]) ).

cnf(c_201060,plain,
    join(sP4_iProver_def,converse(complement(converse(complement(sP0_iProver_def))))) = join(sP5_iProver_def,top),
    inference(superposition,[status(thm)],[c_28336,c_6989]) ).

cnf(c_201114,plain,
    join(sP4_iProver_def,converse(complement(converse(complement(sP0_iProver_def))))) = top,
    inference(demodulation,[status(thm)],[c_201060,c_12420]) ).

cnf(c_201129,plain,
    join(sP4_iProver_def,composition(converse(X0),complement(X0))) = join(sP5_iProver_def,complement(sP0_iProver_def)),
    inference(demodulation,[status(thm)],[c_201051,c_235]) ).

cnf(c_201130,plain,
    join(sP4_iProver_def,composition(converse(X0),complement(X0))) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_201129,c_6509]) ).

cnf(c_202048,plain,
    join(sP4_iProver_def,composition(converse(complement(X0)),X0)) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_11975,c_201130]) ).

cnf(c_202050,plain,
    join(sP4_iProver_def,composition(converse(sP4_iProver_def),sk1)) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_6506,c_201130]) ).

cnf(c_203199,plain,
    meet(sk1,complement(composition(converse(sP4_iProver_def),sk1))) = complement(sP4_iProver_def),
    inference(superposition,[status(thm)],[c_202050,c_12497]) ).

cnf(c_203205,plain,
    meet(sk1,complement(composition(converse(sP4_iProver_def),sk1))) = sk1,
    inference(light_normalisation,[status(thm)],[c_203199,c_6506]) ).

cnf(c_203662,plain,
    join(sP4_iProver_def,converse(complement(sP0_iProver_def))) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_235,c_202048]) ).

cnf(c_203844,plain,
    meet(converse(complement(sP0_iProver_def)),sP4_iProver_def) = converse(complement(sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_203662,c_78293]) ).

cnf(c_203859,plain,
    meet(sP4_iProver_def,converse(complement(sP0_iProver_def))) = converse(complement(sP0_iProver_def)),
    inference(demodulation,[status(thm)],[c_203844,c_4610]) ).

cnf(c_204457,plain,
    meet(sk1,converse(complement(sP0_iProver_def))) = zero,
    inference(superposition,[status(thm)],[c_203859,c_14595]) ).

cnf(c_204467,plain,
    join(meet(composition(complement(sP0_iProver_def),sk1),sP0_iProver_def),meet(composition(complement(sP0_iProver_def),zero),sP0_iProver_def)) = meet(composition(complement(sP0_iProver_def),zero),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_204457,c_272]) ).

cnf(c_204515,plain,
    meet(sP0_iProver_def,composition(complement(sP0_iProver_def),sk1)) = zero,
    inference(demodulation,[status(thm)],[c_204467,c_4610,c_11964,c_6203,c_30049]) ).

cnf(c_204567,plain,
    join(meet(composition(sP0_iProver_def,converse(sk1)),complement(sP0_iProver_def)),meet(composition(zero,converse(sk1)),complement(sP0_iProver_def))) = meet(composition(zero,converse(sk1)),complement(sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_204515,c_305]) ).

cnf(c_204578,plain,
    meet(converse(sk1),complement(sP0_iProver_def)) = zero,
    inference(demodulation,[status(thm)],[c_204567,c_4610,c_11964,c_6203,c_46699,c_30424]) ).

cnf(c_204589,plain,
    join(meet(sP0_iProver_def,converse(sk1)),zero) = converse(sk1),
    inference(superposition,[status(thm)],[c_204578,c_4617]) ).

cnf(c_204601,plain,
    meet(sP0_iProver_def,converse(sk1)) = converse(sk1),
    inference(demodulation,[status(thm)],[c_204589,c_6203]) ).

cnf(c_216403,plain,
    meet(X0,join(sP4_iProver_def,meet(X0,sk1))) = X0,
    inference(superposition,[status(thm)],[c_137,c_11955]) ).

cnf(c_216639,plain,
    meet(X0,join(complement(meet(sP4_iProver_def,top)),meet(sP4_iProver_def,X0))) = X0,
    inference(superposition,[status(thm)],[c_74844,c_11955]) ).

cnf(c_216785,plain,
    join(join(complement(X0),meet(X1,X0)),X1) = join(complement(X0),meet(X1,X0)),
    inference(superposition,[status(thm)],[c_11955,c_78048]) ).

cnf(c_216980,plain,
    meet(X0,join(sk1,join(complement(top),meet(sP4_iProver_def,X0)))) = X0,
    inference(demodulation,[status(thm)],[c_216639,c_55,c_13987]) ).

cnf(c_216981,plain,
    meet(X0,join(sk1,join(zero,meet(sP4_iProver_def,X0)))) = X0,
    inference(light_normalisation,[status(thm)],[c_216980,c_347]) ).

cnf(c_216982,plain,
    meet(X0,join(sk1,meet(sP4_iProver_def,X0))) = X0,
    inference(ac_demodulation,[status(thm)],[c_216981,c_6109,c_55,c_54]) ).

cnf(c_217043,plain,
    join(complement(X0),meet(X1,X0)) = join(complement(X0),X1),
    inference(demodulation,[status(thm)],[c_216785,c_54,c_55,c_76812]) ).

cnf(c_217116,plain,
    meet(X0,join(complement(X1),X0)) = X0,
    inference(demodulation,[status(thm)],[c_11955,c_217043]) ).

cnf(c_219026,plain,
    meet(X0,join(X1,X0)) = X0,
    inference(superposition,[status(thm)],[c_11975,c_217116]) ).

cnf(c_220546,plain,
    meet(complement(sP0_iProver_def),complement(sP3_iProver_def)) = complement(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_39171,c_219026]) ).

cnf(c_226542,plain,
    meet(X0,join(sP4_iProver_def,meet(sk1,X0))) = X0,
    inference(superposition,[status(thm)],[c_4610,c_216403]) ).

cnf(c_229038,plain,
    join(join(sk1,meet(sP4_iProver_def,X0)),X0) = join(sk1,meet(sP4_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_216982,c_78048]) ).

cnf(c_229167,plain,
    join(sk1,meet(sP4_iProver_def,X0)) = join(sk1,X0),
    inference(demodulation,[status(thm)],[c_229038,c_54,c_55,c_78048]) ).

cnf(c_238766,plain,
    join(join(sP4_iProver_def,meet(sk1,X0)),X0) = join(sP4_iProver_def,meet(sk1,X0)),
    inference(superposition,[status(thm)],[c_226542,c_78048]) ).

cnf(c_238899,plain,
    join(sP4_iProver_def,meet(sk1,X0)) = join(sP4_iProver_def,X0),
    inference(demodulation,[status(thm)],[c_238766,c_54,c_55,c_78048]) ).

cnf(c_242500,plain,
    join(sP0_iProver_def,join(sk1,X0)) = join(sP0_iProver_def,meet(sP4_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_229167,c_452]) ).

cnf(c_242523,plain,
    join(sP0_iProver_def,meet(sP4_iProver_def,X0)) = join(X0,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_242500,c_4024]) ).

cnf(c_249835,plain,
    join(sP4_iProver_def,complement(composition(converse(sP4_iProver_def),sk1))) = join(sP4_iProver_def,sk1),
    inference(superposition,[status(thm)],[c_203205,c_238899]) ).

cnf(c_249936,plain,
    join(sP4_iProver_def,complement(composition(converse(sP4_iProver_def),sk1))) = top,
    inference(light_normalisation,[status(thm)],[c_249835,c_279]) ).

cnf(c_256756,plain,
    meet(meet(composition(converse(sP4_iProver_def),sk1),sk1),top) = zero,
    inference(superposition,[status(thm)],[c_249936,c_5078]) ).

cnf(c_256781,plain,
    meet(sk1,composition(converse(sP4_iProver_def),sk1)) = zero,
    inference(demodulation,[status(thm)],[c_256756,c_4610,c_11971]) ).

cnf(c_256838,plain,
    join(meet(sk1,composition(sP4_iProver_def,sk1)),composition(meet(sP4_iProver_def,composition(sk1,converse(sk1))),zero)) = composition(meet(sP4_iProver_def,composition(sk1,converse(sk1))),zero),
    inference(superposition,[status(thm)],[c_256781,c_799]) ).

cnf(c_256862,plain,
    meet(sk1,composition(sP4_iProver_def,sk1)) = zero,
    inference(demodulation,[status(thm)],[c_256838,c_6203,c_30049]) ).

cnf(c_256879,plain,
    join(meet(composition(sk1,converse(sk1)),sP4_iProver_def),meet(composition(zero,converse(sk1)),sP4_iProver_def)) = meet(composition(zero,converse(sk1)),sP4_iProver_def),
    inference(superposition,[status(thm)],[c_256862,c_305]) ).

cnf(c_256930,plain,
    meet(sP4_iProver_def,composition(sk1,converse(sk1))) = zero,
    inference(demodulation,[status(thm)],[c_256879,c_4610,c_11964,c_6203,c_30424]) ).

cnf(c_257103,plain,
    join(composition(sk1,converse(sk1)),sP0_iProver_def) = join(sP0_iProver_def,zero),
    inference(superposition,[status(thm)],[c_256930,c_242523]) ).

cnf(c_257104,plain,
    join(sk1,composition(sk1,converse(sk1))) = join(sk1,zero),
    inference(superposition,[status(thm)],[c_256930,c_229167]) ).

cnf(c_257112,plain,
    join(sk1,composition(sk1,converse(sk1))) = sk1,
    inference(demodulation,[status(thm)],[c_257104,c_6203]) ).

cnf(c_257113,plain,
    join(sP0_iProver_def,composition(sk1,converse(sk1))) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_257103,c_54,c_6203]) ).

cnf(c_257179,plain,
    meet(composition(sk1,converse(sk1)),sP0_iProver_def) = composition(sk1,converse(sk1)),
    inference(superposition,[status(thm)],[c_257113,c_219026]) ).

cnf(c_257211,plain,
    meet(sP0_iProver_def,composition(sk1,converse(sk1))) = composition(sk1,converse(sk1)),
    inference(demodulation,[status(thm)],[c_257179,c_4610]) ).

cnf(c_265208,plain,
    meet(join(sP4_iProver_def,complement(join(sP4_iProver_def,complement(X0)))),join(meet(X0,sk1),sk1)) = complement(join(sP4_iProver_def,complement(X0))),
    inference(superposition,[status(thm)],[c_1584,c_766]) ).

cnf(c_265313,plain,
    meet(sk1,join(sP4_iProver_def,X0)) = meet(sk1,X0),
    inference(demodulation,[status(thm)],[c_265208,c_54,c_4610,c_12250,c_12497,c_78048,c_238899]) ).

cnf(c_273861,plain,
    join(meet(X0,complement(X1)),complement(join(X1,X0))) = join(zero,complement(X1)),
    inference(light_normalisation,[status(thm)],[c_1588,c_11971,c_81343]) ).

cnf(c_274202,plain,
    join(meet(complement(sP0_iProver_def),complement(sP3_iProver_def)),complement(join(sP2_iProver_def,complement(sP0_iProver_def)))) = join(zero,complement(sP3_iProver_def)),
    inference(superposition,[status(thm)],[c_81858,c_273861]) ).

cnf(c_274278,plain,
    join(meet(converse(complement(sP0_iProver_def)),complement(sP0_iProver_def)),complement(top)) = join(zero,complement(sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_46847,c_273861]) ).

cnf(c_274524,plain,
    join(meet(converse(complement(converse(complement(sP0_iProver_def)))),complement(sP4_iProver_def)),complement(top)) = join(zero,complement(sP4_iProver_def)),
    inference(superposition,[status(thm)],[c_201114,c_273861]) ).

cnf(c_274726,plain,
    join(complement(top),meet(complement(sP0_iProver_def),converse(complement(sP0_iProver_def)))) = complement(sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_274278,c_54,c_4610,c_6109]) ).

cnf(c_274727,plain,
    join(zero,meet(complement(sP0_iProver_def),converse(complement(sP0_iProver_def)))) = complement(sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_274726,c_347]) ).

cnf(c_274728,plain,
    meet(complement(sP0_iProver_def),converse(complement(sP0_iProver_def))) = complement(sP0_iProver_def),
    inference(ac_demodulation,[status(thm)],[c_274727,c_6109,c_55,c_54]) ).

cnf(c_275023,plain,
    join(complement(top),meet(complement(sP4_iProver_def),converse(complement(converse(complement(sP0_iProver_def)))))) = complement(sP4_iProver_def),
    inference(demodulation,[status(thm)],[c_274524,c_54,c_4610,c_6109]) ).

cnf(c_275024,plain,
    join(zero,meet(sk1,converse(complement(converse(complement(sP0_iProver_def)))))) = sk1,
    inference(light_normalisation,[status(thm)],[c_275023,c_347,c_6506]) ).

cnf(c_275025,plain,
    meet(sk1,converse(complement(converse(complement(sP0_iProver_def))))) = sk1,
    inference(ac_demodulation,[status(thm)],[c_275024,c_6109,c_55,c_54]) ).

cnf(c_275296,plain,
    join(meet(sP0_iProver_def,sP1_iProver_def),meet(complement(sP0_iProver_def),complement(sP3_iProver_def))) = complement(sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_274202,c_54,c_4610,c_6109,c_12250,c_21252]) ).

cnf(c_275297,plain,
    join(meet(sP0_iProver_def,sP1_iProver_def),complement(sP0_iProver_def)) = complement(sP3_iProver_def),
    inference(light_normalisation,[status(thm)],[c_275296,c_220546]) ).

cnf(c_275298,plain,
    join(complement(sP0_iProver_def),meet(sP0_iProver_def,sP1_iProver_def)) = complement(sP3_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_275297,c_55,c_54]) ).

cnf(c_304148,plain,
    meet(sk1,composition(converse(complement(X0)),X0)) = meet(sk1,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_202048,c_265313]) ).

cnf(c_304297,plain,
    meet(sk1,composition(converse(complement(X0)),X0)) = meet(sP4_iProver_def,sk1),
    inference(demodulation,[status(thm)],[c_304148,c_4610]) ).

cnf(c_304298,plain,
    meet(sk1,composition(converse(complement(X0)),X0)) = zero,
    inference(light_normalisation,[status(thm)],[c_304297,c_771]) ).

cnf(c_310636,plain,
    join(complement(sP0_iProver_def),converse(complement(sP0_iProver_def))) = complement(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_274728,c_78669]) ).

cnf(c_312095,plain,
    meet(sP0_iProver_def,join(sP2_iProver_def,complement(sP0_iProver_def))) = complement(complement(sP3_iProver_def)),
    inference(superposition,[status(thm)],[c_275298,c_629]) ).

cnf(c_312099,plain,
    meet(sP0_iProver_def,join(sP2_iProver_def,complement(sP0_iProver_def))) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_312095,c_11975]) ).

cnf(c_341244,plain,
    join(meet(composition(converse(converse(complement(X0))),sk1),X0),meet(composition(converse(converse(complement(X0))),zero),X0)) = meet(composition(converse(converse(complement(X0))),zero),X0),
    inference(superposition,[status(thm)],[c_304298,c_273]) ).

cnf(c_341363,plain,
    meet(X0,composition(complement(X0),sk1)) = zero,
    inference(demodulation,[status(thm)],[c_341244,c_61,c_4610,c_11964,c_6203,c_30049]) ).

cnf(c_341514,plain,
    meet(complement(X0),composition(X0,sk1)) = zero,
    inference(superposition,[status(thm)],[c_11975,c_341363]) ).

cnf(c_342033,plain,
    join(zero,meet(composition(X0,sk1),complement(complement(X0)))) = composition(X0,sk1),
    inference(superposition,[status(thm)],[c_341514,c_4617]) ).

cnf(c_342064,plain,
    meet(X0,composition(X0,sk1)) = composition(X0,sk1),
    inference(demodulation,[status(thm)],[c_342033,c_4610,c_6109,c_12250]) ).

cnf(c_347253,plain,
    meet(converse(complement(sP0_iProver_def)),complement(sP0_iProver_def)) = converse(complement(sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_310636,c_219026]) ).

cnf(c_347266,plain,
    meet(complement(sP0_iProver_def),converse(complement(sP0_iProver_def))) = converse(complement(sP0_iProver_def)),
    inference(demodulation,[status(thm)],[c_347253,c_4610]) ).

cnf(c_347267,plain,
    converse(complement(sP0_iProver_def)) = complement(sP0_iProver_def),
    inference(light_normalisation,[status(thm)],[c_347266,c_274728]) ).

cnf(c_347271,plain,
    meet(sk1,converse(complement(complement(sP0_iProver_def)))) = sk1,
    inference(demodulation,[status(thm)],[c_275025,c_347267]) ).

cnf(c_347291,plain,
    meet(sk1,converse(sP0_iProver_def)) = sk1,
    inference(demodulation,[status(thm)],[c_347271,c_11975]) ).

cnf(c_347292,plain,
    meet(sk1,sP0_iProver_def) = sk1,
    inference(light_normalisation,[status(thm)],[c_347291,c_46673]) ).

cnf(c_347309,plain,
    join(sk1,meet(composition(sk1,meet(sP0_iProver_def,composition(converse(sk1),sP0_iProver_def))),sP0_iProver_def)) = meet(composition(sk1,meet(sP0_iProver_def,composition(converse(sk1),sP0_iProver_def))),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_347292,c_271]) ).

cnf(c_347371,plain,
    join(sk1,meet(sP0_iProver_def,composition(sk1,meet(sP0_iProver_def,converse(sk1))))) = meet(sP0_iProver_def,composition(sk1,meet(sP0_iProver_def,converse(sk1)))),
    inference(demodulation,[status(thm)],[c_347309,c_235,c_4610]) ).

cnf(c_347372,plain,
    composition(sk1,converse(sk1)) = sk1,
    inference(light_normalisation,[status(thm)],[c_347371,c_204601,c_257112,c_257211]) ).

cnf(c_348040,plain,
    converse(sk1) = sk1,
    inference(superposition,[status(thm)],[c_347372,c_1194]) ).

cnf(c_348137,plain,
    composition(sk1,sk1) = sk1,
    inference(demodulation,[status(thm)],[c_347372,c_348040]) ).

cnf(c_348441,plain,
    composition(sk1,converse(X0)) = converse(composition(X0,sk1)),
    inference(superposition,[status(thm)],[c_348040,c_63]) ).

cnf(c_349358,plain,
    composition(sk1,composition(sk1,X0)) = composition(sk1,X0),
    inference(superposition,[status(thm)],[c_348137,c_58]) ).

cnf(c_384677,plain,
    meet(sk1,composition(sP5_iProver_def,sk1)) = zero,
    inference(superposition,[status(thm)],[c_342064,c_84911]) ).

cnf(c_384700,plain,
    join(sP0_iProver_def,converse(composition(converse(sP5_iProver_def),sk1))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_342064,c_84191]) ).

cnf(c_384729,plain,
    join(sP0_iProver_def,composition(converse(sk1),sP5_iProver_def)) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_384700,c_1195]) ).

cnf(c_384730,plain,
    join(sP0_iProver_def,composition(sk1,sP5_iProver_def)) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_384729,c_348040]) ).

cnf(c_387953,plain,
    meet(composition(sk1,sP5_iProver_def),sP0_iProver_def) = composition(sk1,sP5_iProver_def),
    inference(superposition,[status(thm)],[c_384730,c_219026]) ).

cnf(c_387983,plain,
    meet(sP0_iProver_def,composition(sk1,sP5_iProver_def)) = composition(sk1,sP5_iProver_def),
    inference(demodulation,[status(thm)],[c_387953,c_4610]) ).

cnf(c_437194,plain,
    join(meet(composition(sk1,converse(composition(sP0_iProver_def,sk1))),sP5_iProver_def),composition(zero,meet(converse(composition(sP0_iProver_def,sk1)),composition(converse(sk1),sP5_iProver_def)))) = composition(zero,meet(converse(composition(sP0_iProver_def,sk1)),composition(converse(sk1),sP5_iProver_def))),
    inference(superposition,[status(thm)],[c_384677,c_3820]) ).

cnf(c_437487,plain,
    meet(sP5_iProver_def,composition(sk1,converse(sP0_iProver_def))) = zero,
    inference(demodulation,[status(thm)],[c_437194,c_4610,c_6203,c_30424,c_348441,c_349358]) ).

cnf(c_437488,plain,
    meet(sP5_iProver_def,composition(sk1,sP0_iProver_def)) = zero,
    inference(light_normalisation,[status(thm)],[c_437487,c_46673]) ).

cnf(c_438027,plain,
    join(meet(composition(converse(sk1),sP5_iProver_def),sP0_iProver_def),meet(composition(converse(sk1),zero),sP0_iProver_def)) = meet(composition(converse(sk1),zero),sP0_iProver_def),
    inference(superposition,[status(thm)],[c_437488,c_273]) ).

cnf(c_438058,plain,
    meet(sP0_iProver_def,composition(converse(sk1),sP5_iProver_def)) = zero,
    inference(demodulation,[status(thm)],[c_438027,c_4610,c_11964,c_6203,c_30049]) ).

cnf(c_438059,plain,
    composition(sk1,sP5_iProver_def) = zero,
    inference(light_normalisation,[status(thm)],[c_438058,c_348040,c_387983]) ).

cnf(c_438133,plain,
    join(complement(sP5_iProver_def),join(X0,composition(converse(sk1),complement(zero)))) = join(X0,complement(sP5_iProver_def)),
    inference(superposition,[status(thm)],[c_438059,c_1887]) ).

cnf(c_438180,plain,
    join(complement(sP5_iProver_def),join(X0,sP1_iProver_def)) = join(X0,complement(sP5_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_438133,c_134,c_6145,c_348040]) ).

cnf(c_438181,plain,
    join(sP1_iProver_def,join(X0,complement(sP5_iProver_def))) = join(X0,complement(sP5_iProver_def)),
    inference(theory_normalisation,[status(thm)],[c_438180,c_55,c_54]) ).

cnf(c_438182,plain,
    join(X0,complement(sP3_iProver_def)) = join(X0,complement(sP5_iProver_def)),
    inference(ac_demodulation,[status(thm)],[c_438181,c_72223,c_55,c_54]) ).

cnf(c_438256,plain,
    join(sk1,complement(sP3_iProver_def)) = complement(sP5_iProver_def),
    inference(demodulation,[status(thm)],[c_16098,c_438182]) ).

cnf(c_438273,plain,
    complement(sP3_iProver_def) = complement(sP5_iProver_def),
    inference(light_normalisation,[status(thm)],[c_438256,c_77911]) ).

cnf(c_438305,plain,
    meet(sP4_iProver_def,complement(sP3_iProver_def)) = complement(sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_22459,c_438273]) ).

cnf(c_438311,plain,
    join(sP2_iProver_def,complement(sP0_iProver_def)) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_152569,c_438305]) ).

cnf(c_438312,plain,
    meet(sP0_iProver_def,sP4_iProver_def) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_312099,c_438311]) ).

cnf(c_438319,plain,
    sP3_iProver_def = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_4630,c_438312]) ).

cnf(c_438320,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_438319,c_140]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : REL027-3 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sun Jun 23 05:05:24 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.20/0.46  Running UEQ theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 156.75/20.74  % SZS status Started for theBenchmark.p
% 156.75/20.74  % SZS status Unsatisfiable for theBenchmark.p
% 156.75/20.74  
% 156.75/20.74  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 156.75/20.74  
% 156.75/20.74  ------  iProver source info
% 156.75/20.74  
% 156.75/20.74  git: date: 2024-06-12 09:56:46 +0000
% 156.75/20.74  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 156.75/20.74  git: non_committed_changes: false
% 156.75/20.74  
% 156.75/20.74  ------ Parsing...successful
% 156.75/20.74  
% 156.75/20.74  
% 156.75/20.74  
% 156.75/20.74  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 156.75/20.74  
% 156.75/20.74  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 156.75/20.74  
% 156.75/20.74  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 156.75/20.74  ------ Proving...
% 156.75/20.74  ------ Problem Properties 
% 156.75/20.74  
% 156.75/20.74  
% 156.75/20.74  clauses                                 24
% 156.75/20.74  conjectures                             2
% 156.75/20.74  EPR                                     2
% 156.75/20.74  Horn                                    24
% 156.75/20.74  unary                                   24
% 156.75/20.74  binary                                  0
% 156.75/20.74  lits                                    24
% 156.75/20.74  lits eq                                 24
% 156.75/20.74  fd_pure                                 0
% 156.75/20.74  fd_pseudo                               0
% 156.75/20.74  fd_cond                                 0
% 156.75/20.74  fd_pseudo_cond                          0
% 156.75/20.74  AC symbols                              1
% 156.75/20.74  
% 156.75/20.74  ------ Input Options Time Limit: Unbounded
% 156.75/20.74  
% 156.75/20.74  
% 156.75/20.74  ------ 
% 156.75/20.74  Current options:
% 156.75/20.74  ------ 
% 156.75/20.74  
% 156.75/20.74  
% 156.75/20.74  
% 156.75/20.74  
% 156.75/20.74  ------ Proving...
% 156.75/20.74  
% 156.75/20.74  
% 156.75/20.74  % SZS status Unsatisfiable for theBenchmark.p
% 156.75/20.74  
% 156.75/20.74  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 156.75/20.74  
% 156.75/20.74  
%------------------------------------------------------------------------------