TSTP Solution File: REL027-3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : REL027-3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 157.63s 20.63s
% Output   : CNFRefutation 157.63s
% 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,
    meet(complement(composition(sk1,top)),one) != meet(complement(sk1),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,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(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
    inference(light_normalisation,[status(thm)],[c_84,c_57]) ).

cnf(c_125,plain,
    join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
    inference(theory_normalisation,[status(thm)],[c_124,c_55,c_54]) ).

cnf(c_134,plain,
    join(one,sk1) = sP0_iProver_def,
    definition ).

cnf(c_135,plain,
    composition(sk1,top) = sP1_iProver_def,
    definition ).

cnf(c_136,plain,
    complement(sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_137,plain,
    meet(sP2_iProver_def,one) = sP3_iProver_def,
    definition ).

cnf(c_138,plain,
    complement(sk1) = sP4_iProver_def,
    definition ).

cnf(c_139,plain,
    meet(sP4_iProver_def,one) = sP5_iProver_def,
    definition ).

cnf(c_140,negated_conjecture,
    sP0_iProver_def = one,
    inference(demodulation,[status(thm)],[c_83,c_134]) ).

cnf(c_141,negated_conjecture,
    sP3_iProver_def != sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_50,c_138,c_139,c_135,c_136,c_137]) ).

cnf(c_236,plain,
    join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
    inference(superposition,[status(thm)],[c_55,c_54]) ).

cnf(c_239,plain,
    composition(X0,sP0_iProver_def) = X0,
    inference(light_normalisation,[status(thm)],[c_59,c_140]) ).

cnf(c_240,plain,
    join(sP0_iProver_def,sk1) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_134,c_140]) ).

cnf(c_243,plain,
    join(complement(X0),composition(X1,complement(composition(converse(X1),X0)))) = complement(X0),
    inference(superposition,[status(thm)],[c_61,c_85]) ).

cnf(c_244,plain,
    join(complement(top),composition(converse(sk1),complement(sP1_iProver_def))) = complement(top),
    inference(superposition,[status(thm)],[c_135,c_85]) ).

cnf(c_246,plain,
    join(complement(top),composition(converse(sk1),sP2_iProver_def)) = complement(top),
    inference(light_normalisation,[status(thm)],[c_244,c_136]) ).

cnf(c_251,plain,
    meet(sP2_iProver_def,sP0_iProver_def) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_137,c_140]) ).

cnf(c_252,plain,
    meet(sP4_iProver_def,sP0_iProver_def) = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_139,c_140]) ).

cnf(c_254,plain,
    join(sP1_iProver_def,sP2_iProver_def) = top,
    inference(superposition,[status(thm)],[c_136,c_65]) ).

cnf(c_263,plain,
    complement(join(complement(X0),complement(X1))) = meet(X1,X0),
    inference(superposition,[status(thm)],[c_54,c_57]) ).

cnf(c_265,plain,
    meet(X0,complement(X0)) = complement(top),
    inference(superposition,[status(thm)],[c_65,c_57]) ).

cnf(c_266,plain,
    complement(join(sP4_iProver_def,complement(X0))) = meet(sk1,X0),
    inference(superposition,[status(thm)],[c_138,c_57]) ).

cnf(c_268,plain,
    complement(join(sP2_iProver_def,complement(X0))) = meet(sP1_iProver_def,X0),
    inference(superposition,[status(thm)],[c_136,c_57]) ).

cnf(c_269,plain,
    complement(join(complement(X0),sP4_iProver_def)) = meet(X0,sk1),
    inference(superposition,[status(thm)],[c_138,c_57]) ).

cnf(c_272,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_274,plain,
    meet(join(complement(X0),complement(X1)),meet(X0,X1)) = zero,
    inference(superposition,[status(thm)],[c_57,c_66]) ).

cnf(c_275,plain,
    join(join(complement(X0),complement(X1)),meet(X0,X1)) = top,
    inference(superposition,[status(thm)],[c_57,c_65]) ).

cnf(c_276,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_85]) ).

cnf(c_278,plain,
    complement(top) = zero,
    inference(light_normalisation,[status(thm)],[c_265,c_66]) ).

cnf(c_280,plain,
    complement(join(sP4_iProver_def,complement(X0))) = meet(X0,sk1),
    inference(theory_normalisation,[status(thm)],[c_269,c_55,c_54]) ).

cnf(c_281,plain,
    join(complement(X0),join(complement(X1),meet(X0,X1))) = top,
    inference(theory_normalisation,[status(thm)],[c_275,c_55,c_54]) ).

cnf(c_345,plain,
    join(zero,complement(join(complement(X0),complement(X0)))) = X0,
    inference(superposition,[status(thm)],[c_66,c_125]) ).

cnf(c_347,plain,
    join(sP5_iProver_def,complement(join(complement(sP4_iProver_def),sP0_iProver_def))) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_252,c_125]) ).

cnf(c_350,plain,
    join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
    inference(superposition,[status(thm)],[c_57,c_125]) ).

cnf(c_361,plain,
    join(meet(sk1,X0),complement(join(sP4_iProver_def,X0))) = sk1,
    inference(superposition,[status(thm)],[c_138,c_125]) ).

cnf(c_362,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_125]) ).

cnf(c_368,plain,
    join(sP5_iProver_def,complement(join(sP0_iProver_def,complement(sP4_iProver_def)))) = sP4_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_347,c_55,c_54]) ).

cnf(c_372,plain,
    join(meet(X0,X1),meet(X0,complement(X1))) = X0,
    inference(theory_normalisation,[status(thm)],[c_350,c_55,c_54]) ).

cnf(c_380,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_362,c_55,c_54]) ).

cnf(c_405,plain,
    converse(join(converse(X0),X1)) = join(X0,converse(X1)),
    inference(superposition,[status(thm)],[c_61,c_62]) ).

cnf(c_406,plain,
    converse(join(X0,converse(X1))) = join(converse(X0),X1),
    inference(superposition,[status(thm)],[c_61,c_62]) ).

cnf(c_417,plain,
    converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[status(thm)],[c_61,c_63]) ).

cnf(c_435,plain,
    join(X0,join(complement(X0),X1)) = join(top,X1),
    inference(superposition,[status(thm)],[c_65,c_55]) ).

cnf(c_437,plain,
    join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)) = join(X0,X2),
    inference(superposition,[status(thm)],[c_125,c_55]) ).

cnf(c_440,plain,
    join(sP1_iProver_def,join(sP2_iProver_def,X0)) = join(top,X0),
    inference(superposition,[status(thm)],[c_254,c_55]) ).

cnf(c_487,plain,
    composition(sk1,composition(top,X0)) = composition(sP1_iProver_def,X0),
    inference(superposition,[status(thm)],[c_135,c_58]) ).

cnf(c_489,plain,
    composition(X0,composition(sP0_iProver_def,X1)) = composition(X0,X1),
    inference(superposition,[status(thm)],[c_239,c_58]) ).

cnf(c_501,plain,
    complement(join(zero,complement(X0))) = meet(top,X0),
    inference(superposition,[status(thm)],[c_278,c_57]) ).

cnf(c_507,plain,
    complement(join(complement(X0),zero)) = meet(X0,top),
    inference(superposition,[status(thm)],[c_278,c_57]) ).

cnf(c_508,plain,
    complement(join(zero,complement(X0))) = meet(X0,top),
    inference(theory_normalisation,[status(thm)],[c_507,c_55,c_54]) ).

cnf(c_620,plain,
    join(sP1_iProver_def,join(X0,sP2_iProver_def)) = join(X0,top),
    inference(superposition,[status(thm)],[c_254,c_236]) ).

cnf(c_728,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_239,c_52]) ).

cnf(c_732,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_239,c_52]) ).

cnf(c_827,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_239,c_53]) ).

cnf(c_835,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(light_normalisation,[status(thm)],[c_827,c_239]) ).

cnf(c_884,plain,
    join(meet(sP1_iProver_def,X0),composition(meet(sk1,composition(X0,converse(top))),meet(top,composition(converse(sk1),X0)))) = composition(meet(sk1,composition(X0,converse(top))),meet(top,composition(converse(sk1),X0))),
    inference(superposition,[status(thm)],[c_135,c_51]) ).

cnf(c_887,plain,
    join(meet(X0,X1),composition(meet(X0,composition(X1,converse(sP0_iProver_def))),meet(sP0_iProver_def,composition(converse(X0),X1)))) = composition(meet(X0,composition(X1,converse(sP0_iProver_def))),meet(sP0_iProver_def,composition(converse(X0),X1))),
    inference(superposition,[status(thm)],[c_239,c_51]) ).

cnf(c_960,plain,
    complement(join(sP4_iProver_def,sP4_iProver_def)) = meet(sk1,sk1),
    inference(superposition,[status(thm)],[c_138,c_266]) ).

cnf(c_961,plain,
    meet(sk1,join(complement(X0),complement(X1))) = complement(join(sP4_iProver_def,meet(X0,X1))),
    inference(superposition,[status(thm)],[c_57,c_266]) ).

cnf(c_1829,plain,
    meet(X0,sk1) = meet(sk1,X0),
    inference(superposition,[status(thm)],[c_280,c_266]) ).

cnf(c_1956,plain,
    join(meet(X0,sk1),complement(join(complement(sk1),X0))) = sk1,
    inference(superposition,[status(thm)],[c_1829,c_125]) ).

cnf(c_1960,plain,
    join(meet(X0,sk1),complement(join(sP4_iProver_def,X0))) = sk1,
    inference(light_normalisation,[status(thm)],[c_1956,c_138]) ).

cnf(c_2003,plain,
    join(meet(X0,sk1),composition(meet(sk1,composition(X0,converse(sP0_iProver_def))),meet(sP0_iProver_def,composition(converse(sk1),X0)))) = composition(meet(sk1,composition(X0,converse(sP0_iProver_def))),meet(sP0_iProver_def,composition(converse(sk1),X0))),
    inference(superposition,[status(thm)],[c_1829,c_887]) ).

cnf(c_2708,plain,
    join(zero,composition(converse(sk1),sP2_iProver_def)) = zero,
    inference(light_normalisation,[status(thm)],[c_246,c_278]) ).

cnf(c_2784,plain,
    complement(join(zero,zero)) = meet(top,top),
    inference(superposition,[status(thm)],[c_278,c_501]) ).

cnf(c_3290,plain,
    meet(sk1,join(complement(X0),complement(X1))) = complement(join(sP4_iProver_def,meet(X1,X0))),
    inference(superposition,[status(thm)],[c_263,c_266]) ).

cnf(c_3302,plain,
    meet(X0,X1) = meet(X1,X0),
    inference(superposition,[status(thm)],[c_263,c_57]) ).

cnf(c_3303,plain,
    join(meet(X0,complement(X1)),meet(X1,X0)) = X0,
    inference(superposition,[status(thm)],[c_263,c_125]) ).

cnf(c_3308,plain,
    join(meet(X0,X1),meet(X1,complement(X0))) = X1,
    inference(theory_normalisation,[status(thm)],[c_3303,c_55,c_54]) ).

cnf(c_3312,plain,
    join(meet(sP0_iProver_def,composition(X0,X1)),meet(composition(X0,meet(X1,converse(X0))),sP0_iProver_def)) = meet(composition(X0,meet(X1,converse(X0))),sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_732,c_3302]) ).

cnf(c_3315,plain,
    meet(sP0_iProver_def,sP2_iProver_def) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_251,c_3302]) ).

cnf(c_3316,plain,
    meet(sP0_iProver_def,sP4_iProver_def) = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_252,c_3302]) ).

cnf(c_3317,plain,
    join(meet(X0,X1),meet(X1,composition(X0,meet(sP0_iProver_def,composition(converse(X0),X1))))) = meet(X1,composition(X0,meet(sP0_iProver_def,composition(converse(X0),X1)))),
    inference(demodulation,[status(thm)],[c_728,c_3302]) ).

cnf(c_3318,plain,
    join(meet(X0,X1),meet(X1,meet(X0,composition(X1,converse(sP0_iProver_def))))) = meet(X1,meet(X0,composition(X1,converse(sP0_iProver_def)))),
    inference(demodulation,[status(thm)],[c_835,c_3302]) ).

cnf(c_3466,plain,
    join(sP3_iProver_def,complement(join(complement(sP0_iProver_def),sP2_iProver_def))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_3315,c_125]) ).

cnf(c_3468,plain,
    join(sP3_iProver_def,complement(join(sP2_iProver_def,complement(sP0_iProver_def)))) = sP0_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_3466,c_55,c_54]) ).

cnf(c_3470,plain,
    join(sP5_iProver_def,complement(join(complement(sP0_iProver_def),sP4_iProver_def))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_3316,c_125]) ).

cnf(c_3472,plain,
    join(sP5_iProver_def,complement(join(sP4_iProver_def,complement(sP0_iProver_def)))) = sP0_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_3470,c_55,c_54]) ).

cnf(c_4057,plain,
    join(sP1_iProver_def,join(sP2_iProver_def,X0)) = join(X0,top),
    inference(superposition,[status(thm)],[c_54,c_620]) ).

cnf(c_4384,plain,
    meet(meet(X0,X1),join(complement(X0),complement(X1))) = zero,
    inference(demodulation,[status(thm)],[c_274,c_3302]) ).

cnf(c_4403,plain,
    meet(meet(sk1,X0),join(sP4_iProver_def,complement(X0))) = zero,
    inference(superposition,[status(thm)],[c_138,c_4384]) ).

cnf(c_4406,plain,
    meet(meet(sP1_iProver_def,X0),join(sP2_iProver_def,complement(X0))) = zero,
    inference(superposition,[status(thm)],[c_136,c_4384]) ).

cnf(c_4421,plain,
    meet(meet(X0,sk1),join(complement(X0),sP4_iProver_def)) = zero,
    inference(superposition,[status(thm)],[c_138,c_4384]) ).

cnf(c_4424,plain,
    meet(meet(X0,sP1_iProver_def),join(complement(X0),sP2_iProver_def)) = zero,
    inference(superposition,[status(thm)],[c_136,c_4384]) ).

cnf(c_4450,plain,
    meet(meet(X0,sP1_iProver_def),join(sP2_iProver_def,complement(X0))) = zero,
    inference(theory_normalisation,[status(thm)],[c_4424,c_55,c_54]) ).

cnf(c_4451,plain,
    meet(meet(X0,sk1),join(sP4_iProver_def,complement(X0))) = zero,
    inference(theory_normalisation,[status(thm)],[c_4421,c_55,c_54]) ).

cnf(c_4840,plain,
    join(sP3_iProver_def,composition(converse(X0),complement(composition(X0,join(complement(sP0_iProver_def),complement(sP2_iProver_def)))))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_3315,c_276]) ).

cnf(c_4841,plain,
    join(sP5_iProver_def,composition(converse(X0),complement(composition(X0,join(complement(sP0_iProver_def),complement(sP4_iProver_def)))))) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_3316,c_276]) ).

cnf(c_5654,plain,
    join(sP3_iProver_def,meet(sP0_iProver_def,sP1_iProver_def)) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_3468,c_268,c_3302]) ).

cnf(c_5655,plain,
    join(sP3_iProver_def,join(meet(sP0_iProver_def,sP1_iProver_def),X0)) = join(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_5654,c_55]) ).

cnf(c_5669,plain,
    join(sP5_iProver_def,meet(sP0_iProver_def,sk1)) = sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_3472,c_266,c_3302]) ).

cnf(c_6153,plain,
    join(meet(sP0_iProver_def,composition(X0,X1)),meet(sP0_iProver_def,composition(X0,meet(X1,converse(X0))))) = meet(sP0_iProver_def,composition(X0,meet(X1,converse(X0)))),
    inference(demodulation,[status(thm)],[c_3312,c_3302]) ).

cnf(c_6826,plain,
    join(zero,meet(X0,X0)) = X0,
    inference(demodulation,[status(thm)],[c_345,c_263]) ).

cnf(c_6850,plain,
    join(meet(sk1,X0),complement(join(X0,sP4_iProver_def))) = sk1,
    inference(superposition,[status(thm)],[c_54,c_361]) ).

cnf(c_7496,plain,
    converse(join(X0,converse(X1))) = join(X1,converse(X0)),
    inference(superposition,[status(thm)],[c_54,c_405]) ).

cnf(c_7500,plain,
    join(X0,converse(complement(converse(X0)))) = converse(top),
    inference(superposition,[status(thm)],[c_65,c_405]) ).

cnf(c_7765,plain,
    join(sP3_iProver_def,meet(sP2_iProver_def,composition(sP0_iProver_def,meet(sP0_iProver_def,composition(converse(sP0_iProver_def),sP2_iProver_def))))) = meet(sP2_iProver_def,composition(sP0_iProver_def,meet(sP0_iProver_def,composition(converse(sP0_iProver_def),sP2_iProver_def)))),
    inference(superposition,[status(thm)],[c_3315,c_3317]) ).

cnf(c_8674,plain,
    composition(converse(sP0_iProver_def),X0) = converse(converse(X0)),
    inference(superposition,[status(thm)],[c_239,c_417]) ).

cnf(c_8715,plain,
    composition(converse(sP0_iProver_def),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_8674,c_61]) ).

cnf(c_8722,plain,
    join(sP3_iProver_def,meet(sP2_iProver_def,composition(sP0_iProver_def,meet(sP0_iProver_def,sP2_iProver_def)))) = meet(sP2_iProver_def,composition(sP0_iProver_def,meet(sP0_iProver_def,sP2_iProver_def))),
    inference(demodulation,[status(thm)],[c_7765,c_8715]) ).

cnf(c_8725,plain,
    join(sP3_iProver_def,meet(sP2_iProver_def,composition(sP0_iProver_def,sP3_iProver_def))) = meet(sP2_iProver_def,composition(sP0_iProver_def,sP3_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_8722,c_3315]) ).

cnf(c_8769,plain,
    converse(sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_8715,c_239]) ).

cnf(c_8776,plain,
    join(meet(sP0_iProver_def,X0),composition(meet(sP0_iProver_def,composition(X0,converse(sP0_iProver_def))),meet(sP0_iProver_def,X0))) = composition(meet(sP0_iProver_def,composition(X0,converse(sP0_iProver_def))),meet(sP0_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_8715,c_887]) ).

cnf(c_8787,plain,
    composition(converse(sP0_iProver_def),X0) = composition(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_8715,c_489]) ).

cnf(c_8801,plain,
    composition(sP0_iProver_def,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_8787,c_8715]) ).

cnf(c_8813,plain,
    join(meet(X0,X1),meet(X1,meet(X0,composition(X1,sP0_iProver_def)))) = meet(X1,meet(X0,composition(X1,sP0_iProver_def))),
    inference(demodulation,[status(thm)],[c_3318,c_8769]) ).

cnf(c_8920,plain,
    join(sP0_iProver_def,converse(X0)) = converse(join(sP0_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_8769,c_62]) ).

cnf(c_9003,plain,
    join(X0,composition(X1,X0)) = composition(join(sP0_iProver_def,X1),X0),
    inference(superposition,[status(thm)],[c_8801,c_60]) ).

cnf(c_9010,plain,
    join(complement(X0),complement(composition(converse(sP0_iProver_def),X0))) = complement(X0),
    inference(superposition,[status(thm)],[c_8801,c_243]) ).

cnf(c_9015,plain,
    join(meet(sP0_iProver_def,composition(sP0_iProver_def,X0)),meet(sP0_iProver_def,meet(X0,converse(sP0_iProver_def)))) = meet(sP0_iProver_def,meet(X0,converse(sP0_iProver_def))),
    inference(superposition,[status(thm)],[c_8801,c_6153]) ).

cnf(c_9017,plain,
    join(sP3_iProver_def,composition(converse(sP0_iProver_def),complement(join(complement(sP0_iProver_def),complement(sP2_iProver_def))))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_8801,c_4840]) ).

cnf(c_9018,plain,
    join(sP5_iProver_def,composition(converse(sP0_iProver_def),complement(join(complement(sP0_iProver_def),complement(sP4_iProver_def))))) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_8801,c_4841]) ).

cnf(c_9023,plain,
    join(complement(X0),complement(X0)) = complement(X0),
    inference(light_normalisation,[status(thm)],[c_9010,c_8769,c_8801]) ).

cnf(c_9026,plain,
    join(sP5_iProver_def,composition(sP0_iProver_def,complement(join(complement(sP0_iProver_def),complement(sP4_iProver_def))))) = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_9018,c_8769]) ).

cnf(c_9027,plain,
    join(sP3_iProver_def,composition(sP0_iProver_def,complement(join(complement(sP0_iProver_def),complement(sP2_iProver_def))))) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_9017,c_8769]) ).

cnf(c_9030,plain,
    join(meet(sP0_iProver_def,X0),meet(sP0_iProver_def,meet(X0,sP0_iProver_def))) = meet(sP0_iProver_def,meet(X0,sP0_iProver_def)),
    inference(light_normalisation,[status(thm)],[c_9015,c_8769,c_8801]) ).

cnf(c_9157,plain,
    join(sP4_iProver_def,sP4_iProver_def) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_138,c_9023]) ).

cnf(c_9161,plain,
    join(zero,zero) = zero,
    inference(superposition,[status(thm)],[c_278,c_9023]) ).

cnf(c_9183,plain,
    meet(X0,X0) = complement(complement(X0)),
    inference(superposition,[status(thm)],[c_9023,c_57]) ).

cnf(c_9192,plain,
    meet(sk1,sk1) = complement(sP4_iProver_def),
    inference(demodulation,[status(thm)],[c_960,c_9157]) ).

cnf(c_9201,plain,
    meet(top,top) = complement(zero),
    inference(demodulation,[status(thm)],[c_2784,c_9161]) ).

cnf(c_9252,plain,
    join(sP0_iProver_def,converse(sk1)) = converse(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_240,c_8920]) ).

cnf(c_9293,plain,
    join(sP0_iProver_def,converse(sk1)) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_9252,c_8769]) ).

cnf(c_9794,plain,
    join(zero,join(zero,X0)) = join(zero,X0),
    inference(superposition,[status(thm)],[c_9161,c_55]) ).

cnf(c_9909,plain,
    join(sP5_iProver_def,sP5_iProver_def) = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_9026,c_263,c_3302,c_3316,c_8801]) ).

cnf(c_9910,plain,
    join(sP5_iProver_def,join(sP5_iProver_def,X0)) = join(sP5_iProver_def,X0),
    inference(superposition,[status(thm)],[c_9909,c_55]) ).

cnf(c_9922,plain,
    join(sP3_iProver_def,sP3_iProver_def) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_9027,c_263,c_3302,c_3315,c_8801]) ).

cnf(c_9923,plain,
    join(sP3_iProver_def,join(sP3_iProver_def,X0)) = join(sP3_iProver_def,X0),
    inference(superposition,[status(thm)],[c_9922,c_55]) ).

cnf(c_10001,plain,
    join(complement(X0),meet(X0,X0)) = top,
    inference(superposition,[status(thm)],[c_9183,c_65]) ).

cnf(c_10308,plain,
    join(sP3_iProver_def,meet(sP2_iProver_def,sP3_iProver_def)) = meet(sP2_iProver_def,sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_8725,c_8801]) ).

cnf(c_10557,plain,
    join(sP5_iProver_def,meet(sP0_iProver_def,meet(sP4_iProver_def,sP0_iProver_def))) = meet(sP0_iProver_def,meet(sP4_iProver_def,sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_3316,c_9030]) ).

cnf(c_10595,plain,
    join(sP5_iProver_def,meet(sP0_iProver_def,sP5_iProver_def)) = meet(sP0_iProver_def,sP5_iProver_def),
    inference(demodulation,[status(thm)],[c_10557,c_3302,c_3316]) ).

cnf(c_10662,plain,
    join(complement(X0),top) = top,
    inference(superposition,[status(thm)],[c_10001,c_281]) ).

cnf(c_10663,plain,
    join(top,complement(X0)) = top,
    inference(theory_normalisation,[status(thm)],[c_10662,c_55,c_54]) ).

cnf(c_10994,plain,
    join(meet(X0,X1),meet(X1,meet(X0,X1))) = meet(X1,meet(X0,X1)),
    inference(demodulation,[status(thm)],[c_8813,c_239]) ).

cnf(c_11040,plain,
    join(meet(X0,X1),join(meet(X1,meet(X0,X1)),X2)) = join(meet(X1,meet(X0,X1)),X2),
    inference(superposition,[status(thm)],[c_10994,c_55]) ).

cnf(c_11305,plain,
    join(zero,X0) = X0,
    inference(superposition,[status(thm)],[c_6826,c_9794]) ).

cnf(c_11314,plain,
    complement(complement(X0)) = meet(X0,top),
    inference(demodulation,[status(thm)],[c_508,c_11305]) ).

cnf(c_11316,plain,
    composition(converse(sk1),sP2_iProver_def) = zero,
    inference(demodulation,[status(thm)],[c_2708,c_11305]) ).

cnf(c_11324,plain,
    meet(X0,X0) = X0,
    inference(demodulation,[status(thm)],[c_6826,c_11305]) ).

cnf(c_11327,plain,
    complement(complement(X0)) = X0,
    inference(demodulation,[status(thm)],[c_9183,c_11324]) ).

cnf(c_11329,plain,
    complement(sP4_iProver_def) = sk1,
    inference(demodulation,[status(thm)],[c_9192,c_11324]) ).

cnf(c_11330,plain,
    complement(zero) = top,
    inference(demodulation,[status(thm)],[c_9201,c_11324]) ).

cnf(c_11347,plain,
    join(sP5_iProver_def,complement(join(sP0_iProver_def,sk1))) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_368,c_11329]) ).

cnf(c_11350,plain,
    join(sP5_iProver_def,complement(sP0_iProver_def)) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_11347,c_240]) ).

cnf(c_11394,plain,
    join(sP5_iProver_def,top) = top,
    inference(superposition,[status(thm)],[c_65,c_9910]) ).

cnf(c_11440,plain,
    complement(join(complement(X0),sk1)) = meet(X0,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_11329,c_57]) ).

cnf(c_11446,plain,
    complement(join(sk1,complement(X0))) = meet(X0,sP4_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_11440,c_55,c_54]) ).

cnf(c_11522,plain,
    complement(join(complement(X0),top)) = meet(X0,zero),
    inference(superposition,[status(thm)],[c_11330,c_57]) ).

cnf(c_11531,plain,
    complement(join(top,complement(X0))) = meet(X0,zero),
    inference(theory_normalisation,[status(thm)],[c_11522,c_55,c_54]) ).

cnf(c_11532,plain,
    meet(X0,zero) = zero,
    inference(light_normalisation,[status(thm)],[c_11531,c_278,c_10663]) ).

cnf(c_11818,plain,
    join(sP5_iProver_def,join(complement(sP0_iProver_def),X0)) = join(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_11350,c_55]) ).

cnf(c_11819,plain,
    join(sP5_iProver_def,join(X0,complement(sP0_iProver_def))) = join(X0,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_11350,c_236]) ).

cnf(c_11821,plain,
    join(sP5_iProver_def,sP4_iProver_def) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_11350,c_9910]) ).

cnf(c_11822,plain,
    join(sP4_iProver_def,sP5_iProver_def) = sP4_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_11821,c_55,c_54]) ).

cnf(c_11997,plain,
    join(sP3_iProver_def,sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_5654,c_9923]) ).

cnf(c_12003,plain,
    join(sP0_iProver_def,sP3_iProver_def) = sP0_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_11997,c_55,c_54]) ).

cnf(c_12031,plain,
    join(X0,zero) = X0,
    inference(superposition,[status(thm)],[c_11305,c_54]) ).

cnf(c_12038,plain,
    join(converse(zero),X0) = converse(converse(X0)),
    inference(superposition,[status(thm)],[c_11305,c_406]) ).

cnf(c_12064,plain,
    join(converse(zero),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_12038,c_61]) ).

cnf(c_12082,plain,
    join(X0,X0) = X0,
    inference(superposition,[status(thm)],[c_11324,c_10994]) ).

cnf(c_12089,plain,
    meet(join(complement(X0),complement(X0)),X1) = complement(join(X0,complement(X1))),
    inference(superposition,[status(thm)],[c_11324,c_272]) ).

cnf(c_12133,plain,
    complement(join(X0,complement(X1))) = meet(complement(X0),X1),
    inference(light_normalisation,[status(thm)],[c_12089,c_9023]) ).

cnf(c_12149,plain,
    meet(join(complement(X0),complement(X1)),X2) = meet(complement(meet(X0,X1)),X2),
    inference(demodulation,[status(thm)],[c_272,c_12133]) ).

cnf(c_12194,plain,
    join(meet(complement(X0),X1),complement(join(X0,X1))) = complement(X0),
    inference(superposition,[status(thm)],[c_11327,c_125]) ).

cnf(c_12331,plain,
    join(X0,join(X0,X1)) = join(X0,X1),
    inference(superposition,[status(thm)],[c_12082,c_55]) ).

cnf(c_12471,plain,
    join(sP4_iProver_def,complement(sP0_iProver_def)) = join(sP5_iProver_def,complement(sP0_iProver_def)),
    inference(superposition,[status(thm)],[c_12082,c_11818]) ).

cnf(c_12480,plain,
    join(sP4_iProver_def,complement(sP0_iProver_def)) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_12471,c_11350]) ).

cnf(c_12588,plain,
    join(sP4_iProver_def,join(complement(sP0_iProver_def),X0)) = join(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_12480,c_55]) ).

cnf(c_12799,plain,
    join(zero,complement(join(complement(X0),zero))) = X0,
    inference(superposition,[status(thm)],[c_11532,c_125]) ).

cnf(c_12812,plain,
    join(zero,complement(join(zero,complement(X0)))) = X0,
    inference(theory_normalisation,[status(thm)],[c_12799,c_55,c_54]) ).

cnf(c_13116,plain,
    join(sP4_iProver_def,join(sP5_iProver_def,X0)) = join(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_11822,c_55]) ).

cnf(c_13128,plain,
    join(sP0_iProver_def,converse(sP3_iProver_def)) = converse(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_12003,c_8920]) ).

cnf(c_13129,plain,
    join(sP0_iProver_def,converse(sP3_iProver_def)) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_13128,c_8769]) ).

cnf(c_13132,plain,
    join(sP0_iProver_def,join(converse(sP3_iProver_def),X0)) = join(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_13129,c_55]) ).

cnf(c_13179,plain,
    join(sP0_iProver_def,sP4_iProver_def) = join(sP5_iProver_def,top),
    inference(superposition,[status(thm)],[c_65,c_11819]) ).

cnf(c_13192,plain,
    join(sP0_iProver_def,sP4_iProver_def) = top,
    inference(light_normalisation,[status(thm)],[c_13179,c_11394]) ).

cnf(c_13343,plain,
    join(top,X0) = top,
    inference(superposition,[status(thm)],[c_11327,c_10663]) ).

cnf(c_13366,plain,
    join(sP1_iProver_def,join(sP2_iProver_def,X0)) = top,
    inference(demodulation,[status(thm)],[c_440,c_13343]) ).

cnf(c_13367,plain,
    join(X0,top) = top,
    inference(demodulation,[status(thm)],[c_4057,c_13366]) ).

cnf(c_13398,plain,
    converse(top) = top,
    inference(superposition,[status(thm)],[c_13343,c_7500]) ).

cnf(c_13648,plain,
    join(meet(X0,X1),X0) = X0,
    inference(superposition,[status(thm)],[c_372,c_12331]) ).

cnf(c_13727,plain,
    join(X0,meet(X0,X1)) = X0,
    inference(theory_normalisation,[status(thm)],[c_13648,c_55,c_54]) ).

cnf(c_13957,plain,
    composition(converse(sP2_iProver_def),sk1) = converse(zero),
    inference(superposition,[status(thm)],[c_11316,c_417]) ).

cnf(c_14204,plain,
    meet(top,X0) = X0,
    inference(demodulation,[status(thm)],[c_12812,c_11305,c_11330,c_12133]) ).

cnf(c_14221,plain,
    meet(X0,top) = X0,
    inference(superposition,[status(thm)],[c_14204,c_3302]) ).

cnf(c_14331,plain,
    join(sP4_iProver_def,complement(sP5_iProver_def)) = join(sP4_iProver_def,top),
    inference(superposition,[status(thm)],[c_65,c_13116]) ).

cnf(c_14335,plain,
    join(sP4_iProver_def,meet(sP0_iProver_def,sk1)) = join(sP4_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_5669,c_13116]) ).

cnf(c_14346,plain,
    join(sP4_iProver_def,meet(sP0_iProver_def,sk1)) = join(sP0_iProver_def,sP4_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_14335,c_55,c_54]) ).

cnf(c_14347,plain,
    join(sP4_iProver_def,meet(sP0_iProver_def,sk1)) = top,
    inference(light_normalisation,[status(thm)],[c_14346,c_13192]) ).

cnf(c_14369,plain,
    join(sP4_iProver_def,complement(sP5_iProver_def)) = top,
    inference(demodulation,[status(thm)],[c_14331,c_13367]) ).

cnf(c_14377,plain,
    join(meet(sk1,complement(sP5_iProver_def)),complement(top)) = sk1,
    inference(superposition,[status(thm)],[c_14369,c_361]) ).

cnf(c_14378,plain,
    join(complement(top),meet(sk1,complement(sP5_iProver_def))) = sk1,
    inference(theory_normalisation,[status(thm)],[c_14377,c_55,c_54]) ).

cnf(c_14379,plain,
    join(zero,meet(sk1,complement(sP5_iProver_def))) = sk1,
    inference(light_normalisation,[status(thm)],[c_14378,c_278]) ).

cnf(c_14491,plain,
    converse(zero) = zero,
    inference(superposition,[status(thm)],[c_12064,c_12031]) ).

cnf(c_15200,plain,
    join(meet(X0,X1),X1) = X1,
    inference(superposition,[status(thm)],[c_372,c_11040]) ).

cnf(c_15232,plain,
    join(X0,meet(X1,X0)) = X0,
    inference(theory_normalisation,[status(thm)],[c_15200,c_55,c_54]) ).

cnf(c_15254,plain,
    meet(X0,meet(X1,X0)) = meet(X1,X0),
    inference(demodulation,[status(thm)],[c_10994,c_15232]) ).

cnf(c_15256,plain,
    meet(sP2_iProver_def,sP3_iProver_def) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_10308,c_15232]) ).

cnf(c_15257,plain,
    meet(sP0_iProver_def,sP5_iProver_def) = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_10595,c_15232]) ).

cnf(c_15718,plain,
    join(sP5_iProver_def,complement(join(complement(sP0_iProver_def),sP5_iProver_def))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_15257,c_125]) ).

cnf(c_15725,plain,
    join(sP5_iProver_def,complement(join(sP5_iProver_def,complement(sP0_iProver_def)))) = sP0_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_15718,c_55,c_54]) ).

cnf(c_15726,plain,
    join(sP5_iProver_def,sk1) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_15725,c_11329,c_11350]) ).

cnf(c_15803,plain,
    join(sP5_iProver_def,join(sk1,X0)) = join(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_15726,c_55]) ).

cnf(c_16352,plain,
    join(meet(sP0_iProver_def,X0),composition(meet(sP0_iProver_def,X0),meet(sP0_iProver_def,X0))) = composition(meet(sP0_iProver_def,X0),meet(sP0_iProver_def,X0)),
    inference(light_normalisation,[status(thm)],[c_8776,c_239,c_8769]) ).

cnf(c_16353,plain,
    composition(meet(sP0_iProver_def,X0),meet(sP0_iProver_def,X0)) = meet(sP0_iProver_def,X0),
    inference(demodulation,[status(thm)],[c_16352,c_8801,c_9003,c_13727]) ).

cnf(c_16435,plain,
    join(complement(join(meet(X0,X1),X2)),meet(complement(meet(X0,X1)),X2)) = join(complement(X0),complement(X1)),
    inference(light_normalisation,[status(thm)],[c_380,c_12149]) ).

cnf(c_16436,plain,
    join(meet(complement(meet(X0,X1)),X2),complement(join(meet(X0,X1),X2))) = join(complement(X0),complement(X1)),
    inference(theory_normalisation,[status(thm)],[c_16435,c_55,c_54]) ).

cnf(c_16437,plain,
    join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
    inference(demodulation,[status(thm)],[c_16436,c_12194]) ).

cnf(c_16456,plain,
    join(sP2_iProver_def,complement(X0)) = complement(meet(sP1_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_136,c_16437]) ).

cnf(c_16463,plain,
    join(complement(X0),sP4_iProver_def) = complement(meet(X0,sk1)),
    inference(superposition,[status(thm)],[c_138,c_16437]) ).

cnf(c_16464,plain,
    join(complement(X0),sP2_iProver_def) = complement(meet(X0,sP1_iProver_def)),
    inference(superposition,[status(thm)],[c_136,c_16437]) ).

cnf(c_16466,plain,
    complement(meet(X0,complement(X1))) = join(complement(X0),X1),
    inference(superposition,[status(thm)],[c_11327,c_16437]) ).

cnf(c_16473,plain,
    join(complement(X0),complement(X1)) = complement(meet(X1,X0)),
    inference(superposition,[status(thm)],[c_16437,c_54]) ).

cnf(c_16492,plain,
    join(sP2_iProver_def,complement(X0)) = complement(meet(X0,sP1_iProver_def)),
    inference(theory_normalisation,[status(thm)],[c_16464,c_55,c_54]) ).

cnf(c_16493,plain,
    join(sP4_iProver_def,complement(X0)) = complement(meet(X0,sk1)),
    inference(theory_normalisation,[status(thm)],[c_16463,c_55,c_54]) ).

cnf(c_17033,plain,
    join(sP0_iProver_def,top) = join(sP5_iProver_def,top),
    inference(superposition,[status(thm)],[c_13367,c_15803]) ).

cnf(c_18138,plain,
    join(X0,join(complement(X0),X1)) = top,
    inference(demodulation,[status(thm)],[c_435,c_13343]) ).

cnf(c_18150,plain,
    join(X0,join(X1,complement(X0))) = top,
    inference(superposition,[status(thm)],[c_54,c_18138]) ).

cnf(c_18377,plain,
    join(X0,complement(meet(X1,X0))) = top,
    inference(superposition,[status(thm)],[c_16437,c_18150]) ).

cnf(c_18429,plain,
    join(sP4_iProver_def,join(X0,complement(complement(sP0_iProver_def)))) = join(sP5_iProver_def,top),
    inference(superposition,[status(thm)],[c_18150,c_11818]) ).

cnf(c_18469,plain,
    join(sP4_iProver_def,join(X0,complement(complement(sP0_iProver_def)))) = join(sP0_iProver_def,top),
    inference(light_normalisation,[status(thm)],[c_18429,c_17033]) ).

cnf(c_23630,plain,
    join(sP2_iProver_def,sP3_iProver_def) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_15256,c_13727]) ).

cnf(c_23825,plain,
    join(sP2_iProver_def,join(sP3_iProver_def,X0)) = join(sP2_iProver_def,X0),
    inference(superposition,[status(thm)],[c_23630,c_55]) ).

cnf(c_24269,plain,
    join(sP2_iProver_def,join(X0,sP3_iProver_def)) = join(sP2_iProver_def,X0),
    inference(superposition,[status(thm)],[c_54,c_23825]) ).

cnf(c_24272,plain,
    join(sP2_iProver_def,complement(sP3_iProver_def)) = join(sP2_iProver_def,top),
    inference(superposition,[status(thm)],[c_65,c_23825]) ).

cnf(c_24276,plain,
    join(sP2_iProver_def,join(X0,complement(sP3_iProver_def))) = join(sP2_iProver_def,top),
    inference(superposition,[status(thm)],[c_18150,c_23825]) ).

cnf(c_24380,plain,
    join(sP2_iProver_def,complement(sP3_iProver_def)) = top,
    inference(demodulation,[status(thm)],[c_24272,c_13367]) ).

cnf(c_24384,plain,
    join(sP2_iProver_def,join(X0,complement(sP3_iProver_def))) = join(X0,top),
    inference(superposition,[status(thm)],[c_24380,c_236]) ).

cnf(c_24404,plain,
    join(sP2_iProver_def,join(X0,complement(sP3_iProver_def))) = top,
    inference(light_normalisation,[status(thm)],[c_24384,c_13367,c_24276]) ).

cnf(c_24475,plain,
    meet(meet(sk1,sP0_iProver_def),sP4_iProver_def) = zero,
    inference(superposition,[status(thm)],[c_12480,c_4403]) ).

cnf(c_24547,plain,
    composition(converse(sP2_iProver_def),sk1) = zero,
    inference(light_normalisation,[status(thm)],[c_13957,c_14491]) ).

cnf(c_24566,plain,
    join(complement(sk1),composition(sP2_iProver_def,complement(zero))) = complement(sk1),
    inference(superposition,[status(thm)],[c_24547,c_243]) ).

cnf(c_24569,plain,
    join(sP4_iProver_def,composition(sP2_iProver_def,top)) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_24566,c_138,c_11330]) ).

cnf(c_24622,plain,
    join(meet(meet(sP0_iProver_def,sk1),sk1),complement(top)) = sk1,
    inference(superposition,[status(thm)],[c_14347,c_1960]) ).

cnf(c_24627,plain,
    join(complement(top),meet(meet(sP0_iProver_def,sk1),sk1)) = sk1,
    inference(theory_normalisation,[status(thm)],[c_24622,c_55,c_54]) ).

cnf(c_24628,plain,
    join(zero,meet(meet(sP0_iProver_def,sk1),sk1)) = sk1,
    inference(light_normalisation,[status(thm)],[c_24627,c_278]) ).

cnf(c_25157,plain,
    join(zero,join(complement(join(complement(meet(sP1_iProver_def,X0)),join(sP2_iProver_def,complement(X0)))),X1)) = join(meet(sP1_iProver_def,X0),X1),
    inference(superposition,[status(thm)],[c_4406,c_437]) ).

cnf(c_25174,plain,
    join(zero,join(complement(join(sP2_iProver_def,join(complement(X0),complement(meet(sP1_iProver_def,X0))))),X1)) = join(meet(sP1_iProver_def,X0),X1),
    inference(theory_normalisation,[status(thm)],[c_25157,c_55,c_54]) ).

cnf(c_25175,plain,
    join(zero,join(complement(join(sP2_iProver_def,join(complement(X0),join(sP2_iProver_def,complement(X0))))),X1)) = join(meet(sP1_iProver_def,X0),X1),
    inference(light_normalisation,[status(thm)],[c_25174,c_16456]) ).

cnf(c_25176,plain,
    join(zero,join(complement(join(sP2_iProver_def,join(sP2_iProver_def,join(complement(X0),complement(X0))))),X1)) = join(meet(sP1_iProver_def,X0),X1),
    inference(theory_normalisation,[status(thm)],[c_25175,c_55,c_54]) ).

cnf(c_26121,plain,
    join(zero,join(complement(join(complement(meet(X0,sP1_iProver_def)),join(sP2_iProver_def,complement(X0)))),X1)) = join(meet(X0,sP1_iProver_def),X1),
    inference(superposition,[status(thm)],[c_4450,c_437]) ).

cnf(c_26143,plain,
    join(zero,join(complement(join(sP2_iProver_def,join(complement(X0),complement(meet(X0,sP1_iProver_def))))),X1)) = join(meet(X0,sP1_iProver_def),X1),
    inference(theory_normalisation,[status(thm)],[c_26121,c_55,c_54]) ).

cnf(c_26144,plain,
    join(zero,join(complement(join(sP2_iProver_def,join(complement(X0),join(sP2_iProver_def,complement(X0))))),X1)) = join(meet(X0,sP1_iProver_def),X1),
    inference(light_normalisation,[status(thm)],[c_26143,c_16492]) ).

cnf(c_26145,plain,
    join(zero,join(complement(join(sP2_iProver_def,join(sP2_iProver_def,join(complement(X0),complement(X0))))),X1)) = join(meet(X0,sP1_iProver_def),X1),
    inference(theory_normalisation,[status(thm)],[c_26144,c_55,c_54]) ).

cnf(c_26146,plain,
    join(meet(X0,sP1_iProver_def),X1) = join(meet(sP1_iProver_def,X0),X1),
    inference(light_normalisation,[status(thm)],[c_26145,c_25176]) ).

cnf(c_29823,plain,
    join(meet(X0,sk1),composition(meet(sk1,X0),meet(sP0_iProver_def,composition(converse(sk1),X0)))) = composition(meet(sk1,X0),meet(sP0_iProver_def,composition(converse(sk1),X0))),
    inference(light_normalisation,[status(thm)],[c_2003,c_239,c_8769]) ).

cnf(c_30708,plain,
    join(sP4_iProver_def,join(X0,complement(complement(sP0_iProver_def)))) = join(sP4_iProver_def,top),
    inference(superposition,[status(thm)],[c_18150,c_12588]) ).

cnf(c_30763,plain,
    join(sP0_iProver_def,top) = join(sP4_iProver_def,top),
    inference(light_normalisation,[status(thm)],[c_30708,c_18469]) ).

cnf(c_31006,plain,
    join(sP0_iProver_def,complement(converse(sP3_iProver_def))) = join(sP0_iProver_def,top),
    inference(superposition,[status(thm)],[c_65,c_13132]) ).

cnf(c_31094,plain,
    join(sP0_iProver_def,complement(converse(sP3_iProver_def))) = top,
    inference(demodulation,[status(thm)],[c_31006,c_13367]) ).

cnf(c_35396,plain,
    meet(sP4_iProver_def,meet(sP0_iProver_def,sk1)) = zero,
    inference(demodulation,[status(thm)],[c_24475,c_3302]) ).

cnf(c_35398,plain,
    join(zero,meet(meet(sP0_iProver_def,sk1),complement(sP4_iProver_def))) = meet(sP0_iProver_def,sk1),
    inference(superposition,[status(thm)],[c_35396,c_3308]) ).

cnf(c_35413,plain,
    meet(sP0_iProver_def,sk1) = sk1,
    inference(light_normalisation,[status(thm)],[c_35398,c_11329,c_24628]) ).

cnf(c_35519,plain,
    join(sk1,composition(meet(sk1,sP0_iProver_def),meet(sP0_iProver_def,composition(converse(sk1),sP0_iProver_def)))) = composition(meet(sk1,sP0_iProver_def),meet(sP0_iProver_def,composition(converse(sk1),sP0_iProver_def))),
    inference(superposition,[status(thm)],[c_35413,c_29823]) ).

cnf(c_35533,plain,
    composition(sk1,sk1) = sk1,
    inference(superposition,[status(thm)],[c_35413,c_16353]) ).

cnf(c_35628,plain,
    join(sk1,composition(sk1,meet(sP0_iProver_def,converse(sk1)))) = composition(sk1,meet(sP0_iProver_def,converse(sk1))),
    inference(demodulation,[status(thm)],[c_35519,c_239,c_3302,c_35413]) ).

cnf(c_35631,plain,
    join(sk1,join(X0,composition(sk1,meet(sP0_iProver_def,converse(sk1))))) = join(X0,composition(sk1,meet(sP0_iProver_def,converse(sk1)))),
    inference(superposition,[status(thm)],[c_35628,c_236]) ).

cnf(c_37300,plain,
    join(sP4_iProver_def,join(composition(sP2_iProver_def,top),X0)) = join(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_24569,c_55]) ).

cnf(c_44518,plain,
    join(sP3_iProver_def,join(X0,meet(sP0_iProver_def,sP1_iProver_def))) = join(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_54,c_5655]) ).

cnf(c_45995,plain,
    composition(join(sP0_iProver_def,X0),top) = top,
    inference(superposition,[status(thm)],[c_9003,c_13343]) ).

cnf(c_46032,plain,
    join(sk1,composition(join(sP0_iProver_def,sk1),meet(sP0_iProver_def,converse(sk1)))) = composition(join(sP0_iProver_def,sk1),meet(sP0_iProver_def,converse(sk1))),
    inference(superposition,[status(thm)],[c_9003,c_35631]) ).

cnf(c_46075,plain,
    join(sk1,composition(sP0_iProver_def,meet(sP0_iProver_def,converse(sk1)))) = composition(sP0_iProver_def,meet(sP0_iProver_def,converse(sk1))),
    inference(light_normalisation,[status(thm)],[c_46032,c_240]) ).

cnf(c_47058,plain,
    composition(top,top) = top,
    inference(superposition,[status(thm)],[c_31094,c_45995]) ).

cnf(c_47218,plain,
    composition(sk1,top) = composition(sP1_iProver_def,top),
    inference(superposition,[status(thm)],[c_47058,c_487]) ).

cnf(c_47229,plain,
    composition(sP1_iProver_def,top) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_47218,c_135]) ).

cnf(c_47418,plain,
    join(sP1_iProver_def,composition(X0,top)) = composition(join(sP1_iProver_def,X0),top),
    inference(superposition,[status(thm)],[c_47229,c_60]) ).

cnf(c_47694,plain,
    join(sk1,meet(sP0_iProver_def,converse(sk1))) = meet(sP0_iProver_def,converse(sk1)),
    inference(demodulation,[status(thm)],[c_46075,c_8801]) ).

cnf(c_71143,plain,
    meet(sk1,complement(sP5_iProver_def)) = sk1,
    inference(demodulation,[status(thm)],[c_14379,c_11305]) ).

cnf(c_71159,plain,
    meet(complement(sP5_iProver_def),sk1) = sk1,
    inference(superposition,[status(thm)],[c_71143,c_15254]) ).

cnf(c_75003,plain,
    join(sP4_iProver_def,join(X0,composition(sP2_iProver_def,top))) = join(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_54,c_37300]) ).

cnf(c_84789,plain,
    join(meet(X0,complement(meet(X1,complement(X0)))),complement(top)) = X0,
    inference(superposition,[status(thm)],[c_18377,c_125]) ).

cnf(c_85001,plain,
    join(complement(top),meet(X0,complement(meet(X1,complement(X0))))) = X0,
    inference(theory_normalisation,[status(thm)],[c_84789,c_55,c_54]) ).

cnf(c_85002,plain,
    join(zero,meet(X0,complement(meet(X1,complement(X0))))) = X0,
    inference(light_normalisation,[status(thm)],[c_85001,c_278]) ).

cnf(c_105371,plain,
    join(meet(sP1_iProver_def,X0),composition(meet(sk1,composition(X0,top)),meet(top,composition(converse(sk1),X0)))) = composition(meet(sk1,composition(X0,top)),meet(top,composition(converse(sk1),X0))),
    inference(light_normalisation,[status(thm)],[c_884,c_13398]) ).

cnf(c_105372,plain,
    join(meet(sP1_iProver_def,X0),composition(meet(sk1,composition(X0,top)),composition(converse(sk1),X0))) = composition(meet(sk1,composition(X0,top)),composition(converse(sk1),X0)),
    inference(demodulation,[status(thm)],[c_105371,c_14204]) ).

cnf(c_105397,plain,
    join(meet(sP1_iProver_def,sP0_iProver_def),composition(meet(sk1,composition(sP0_iProver_def,top)),converse(sk1))) = composition(meet(sk1,composition(sP0_iProver_def,top)),converse(sk1)),
    inference(superposition,[status(thm)],[c_239,c_105372]) ).

cnf(c_107017,plain,
    join(meet(sP0_iProver_def,sP1_iProver_def),composition(sk1,converse(sk1))) = composition(sk1,converse(sk1)),
    inference(demodulation,[status(thm)],[c_105397,c_8801,c_14221,c_26146]) ).

cnf(c_109723,plain,
    join(sP2_iProver_def,join(X0,join(X1,complement(sP3_iProver_def)))) = top,
    inference(superposition,[status(thm)],[c_55,c_24404]) ).

cnf(c_112521,plain,
    join(sP4_iProver_def,composition(join(sP1_iProver_def,sP2_iProver_def),top)) = join(sP4_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_47418,c_75003]) ).

cnf(c_112587,plain,
    join(sP4_iProver_def,composition(join(sP1_iProver_def,sP2_iProver_def),top)) = join(sP1_iProver_def,sP4_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_112521,c_55,c_54]) ).

cnf(c_112588,plain,
    join(sP0_iProver_def,top) = join(sP1_iProver_def,sP4_iProver_def),
    inference(light_normalisation,[status(thm)],[c_112587,c_254,c_30763,c_47058]) ).

cnf(c_112825,plain,
    join(sP1_iProver_def,sP4_iProver_def) = top,
    inference(demodulation,[status(thm)],[c_112588,c_13367]) ).

cnf(c_112838,plain,
    join(meet(sk1,sP1_iProver_def),complement(top)) = sk1,
    inference(superposition,[status(thm)],[c_112825,c_6850]) ).

cnf(c_112851,plain,
    join(complement(top),meet(sk1,sP1_iProver_def)) = sk1,
    inference(theory_normalisation,[status(thm)],[c_112838,c_55,c_54]) ).

cnf(c_112852,plain,
    join(zero,meet(sk1,sP1_iProver_def)) = sk1,
    inference(light_normalisation,[status(thm)],[c_112851,c_278]) ).

cnf(c_112880,plain,
    meet(sP1_iProver_def,sk1) = sk1,
    inference(demodulation,[status(thm)],[c_112852,c_3302,c_11305]) ).

cnf(c_112942,plain,
    join(sP4_iProver_def,complement(sP1_iProver_def)) = complement(sk1),
    inference(superposition,[status(thm)],[c_112880,c_16493]) ).

cnf(c_112952,plain,
    join(sP4_iProver_def,sP2_iProver_def) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_112942,c_136,c_138]) ).

cnf(c_112953,plain,
    join(sP2_iProver_def,sP4_iProver_def) = sP4_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_112952,c_55,c_54]) ).

cnf(c_113124,plain,
    join(sP2_iProver_def,join(sP4_iProver_def,X0)) = join(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_112953,c_55]) ).

cnf(c_115780,plain,
    join(sP2_iProver_def,sP4_iProver_def) = join(sP4_iProver_def,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_113124,c_24269]) ).

cnf(c_115786,plain,
    join(sP4_iProver_def,complement(sP3_iProver_def)) = top,
    inference(superposition,[status(thm)],[c_113124,c_109723]) ).

cnf(c_115795,plain,
    join(sP2_iProver_def,sP4_iProver_def) = join(sP3_iProver_def,sP4_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_115780,c_55,c_54]) ).

cnf(c_115796,plain,
    join(sP3_iProver_def,sP4_iProver_def) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_115795,c_112953]) ).

cnf(c_116110,plain,
    meet(meet(sP3_iProver_def,sk1),top) = zero,
    inference(superposition,[status(thm)],[c_115786,c_4451]) ).

cnf(c_119377,plain,
    meet(X0,join(complement(X1),X0)) = X0,
    inference(demodulation,[status(thm)],[c_85002,c_11305,c_16466]) ).

cnf(c_119435,plain,
    meet(X0,join(X1,X0)) = X0,
    inference(superposition,[status(thm)],[c_11327,c_119377]) ).

cnf(c_133182,plain,
    meet(sP3_iProver_def,sk1) = zero,
    inference(demodulation,[status(thm)],[c_116110,c_14221]) ).

cnf(c_133198,plain,
    join(zero,complement(join(complement(sP3_iProver_def),sk1))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_133182,c_125]) ).

cnf(c_133257,plain,
    join(zero,complement(join(sk1,complement(sP3_iProver_def)))) = sP3_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_133198,c_55,c_54]) ).

cnf(c_134670,plain,
    meet(sP3_iProver_def,sP4_iProver_def) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_133257,c_11305,c_11446]) ).

cnf(c_134691,plain,
    meet(sP4_iProver_def,sP3_iProver_def) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_134670,c_15254]) ).

cnf(c_135492,plain,
    meet(converse(sk1),sP0_iProver_def) = converse(sk1),
    inference(superposition,[status(thm)],[c_9293,c_119435]) ).

cnf(c_189811,plain,
    meet(sP0_iProver_def,converse(sk1)) = converse(sk1),
    inference(demodulation,[status(thm)],[c_135492,c_3302]) ).

cnf(c_189821,plain,
    join(sk1,converse(sk1)) = converse(sk1),
    inference(demodulation,[status(thm)],[c_47694,c_189811]) ).

cnf(c_207719,plain,
    complement(join(sP4_iProver_def,meet(X0,X1))) = meet(sk1,complement(meet(X1,X0))),
    inference(light_normalisation,[status(thm)],[c_961,c_3290,c_16473]) ).

cnf(c_207776,plain,
    meet(sk1,complement(meet(sP4_iProver_def,sP3_iProver_def))) = complement(join(sP4_iProver_def,sP3_iProver_def)),
    inference(superposition,[status(thm)],[c_134670,c_207719]) ).

cnf(c_207877,plain,
    meet(sk1,complement(meet(sP4_iProver_def,sP3_iProver_def))) = complement(join(sP3_iProver_def,sP4_iProver_def)),
    inference(theory_normalisation,[status(thm)],[c_207776,c_55,c_54]) ).

cnf(c_207878,plain,
    meet(sk1,complement(sP3_iProver_def)) = sk1,
    inference(light_normalisation,[status(thm)],[c_207877,c_11329,c_115796,c_134691]) ).

cnf(c_208850,plain,
    meet(complement(sP3_iProver_def),sk1) = sk1,
    inference(superposition,[status(thm)],[c_207878,c_15254]) ).

cnf(c_211673,plain,
    converse(converse(sk1)) = converse(sk1),
    inference(superposition,[status(thm)],[c_189821,c_7496]) ).

cnf(c_215774,plain,
    converse(sk1) = sk1,
    inference(demodulation,[status(thm)],[c_211673,c_61]) ).

cnf(c_215785,plain,
    join(meet(sP0_iProver_def,sP1_iProver_def),composition(sk1,sk1)) = composition(sk1,sk1),
    inference(demodulation,[status(thm)],[c_107017,c_215774]) ).

cnf(c_215809,plain,
    join(composition(sk1,sk1),meet(sP0_iProver_def,sP1_iProver_def)) = composition(sk1,sk1),
    inference(theory_normalisation,[status(thm)],[c_215785,c_55,c_54]) ).

cnf(c_215810,plain,
    join(sk1,meet(sP0_iProver_def,sP1_iProver_def)) = sk1,
    inference(light_normalisation,[status(thm)],[c_215809,c_35533]) ).

cnf(c_231693,plain,
    join(sP0_iProver_def,sk1) = join(sP3_iProver_def,sk1),
    inference(superposition,[status(thm)],[c_215810,c_44518]) ).

cnf(c_231695,plain,
    join(sP3_iProver_def,sk1) = sP0_iProver_def,
    inference(light_normalisation,[status(thm)],[c_231693,c_240]) ).

cnf(c_258243,plain,
    join(meet(complement(sP5_iProver_def),sk1),complement(sP0_iProver_def)) = complement(sP5_iProver_def),
    inference(superposition,[status(thm)],[c_15726,c_12194]) ).

cnf(c_258254,plain,
    join(meet(complement(sP3_iProver_def),sk1),complement(sP0_iProver_def)) = complement(sP3_iProver_def),
    inference(superposition,[status(thm)],[c_231695,c_12194]) ).

cnf(c_258652,plain,
    join(complement(sP0_iProver_def),meet(complement(sP3_iProver_def),sk1)) = complement(sP3_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_258254,c_55,c_54]) ).

cnf(c_258653,plain,
    join(complement(sP0_iProver_def),sk1) = complement(sP3_iProver_def),
    inference(light_normalisation,[status(thm)],[c_258652,c_208850]) ).

cnf(c_258654,plain,
    join(sk1,complement(sP0_iProver_def)) = complement(sP3_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_258653,c_55,c_54]) ).

cnf(c_258656,plain,
    join(complement(sP0_iProver_def),meet(complement(sP5_iProver_def),sk1)) = complement(sP5_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_258243,c_55,c_54]) ).

cnf(c_258657,plain,
    join(complement(sP0_iProver_def),sk1) = complement(sP5_iProver_def),
    inference(light_normalisation,[status(thm)],[c_258656,c_71159]) ).

cnf(c_258658,plain,
    join(sk1,complement(sP0_iProver_def)) = complement(sP5_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_258657,c_55,c_54]) ).

cnf(c_260244,plain,
    complement(sP3_iProver_def) = complement(sP5_iProver_def),
    inference(light_normalisation,[status(thm)],[c_258658,c_258654]) ).

cnf(c_260304,plain,
    complement(complement(sP3_iProver_def)) = sP5_iProver_def,
    inference(superposition,[status(thm)],[c_260244,c_11327]) ).

cnf(c_260563,plain,
    sP3_iProver_def = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_260304,c_11314,c_14221]) ).

cnf(c_260564,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_260563,c_141]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : REL027-3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 19:51:01 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.16/0.43  Running UEQ theorem proving
% 0.16/0.43  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 157.63/20.63  % SZS status Started for theBenchmark.p
% 157.63/20.63  % SZS status Unsatisfiable for theBenchmark.p
% 157.63/20.63  
% 157.63/20.63  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 157.63/20.63  
% 157.63/20.63  ------  iProver source info
% 157.63/20.63  
% 157.63/20.63  git: date: 2024-05-02 19:28:25 +0000
% 157.63/20.63  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 157.63/20.63  git: non_committed_changes: false
% 157.63/20.63  
% 157.63/20.63  ------ Parsing...successful
% 157.63/20.63  
% 157.63/20.63  
% 157.63/20.63  
% 157.63/20.63  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 157.63/20.63  
% 157.63/20.63  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 157.63/20.63  
% 157.63/20.63  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 157.63/20.63  ------ Proving...
% 157.63/20.63  ------ Problem Properties 
% 157.63/20.63  
% 157.63/20.63  
% 157.63/20.63  clauses                                 24
% 157.63/20.63  conjectures                             2
% 157.63/20.63  EPR                                     2
% 157.63/20.63  Horn                                    24
% 157.63/20.63  unary                                   24
% 157.63/20.63  binary                                  0
% 157.63/20.63  lits                                    24
% 157.63/20.63  lits eq                                 24
% 157.63/20.63  fd_pure                                 0
% 157.63/20.63  fd_pseudo                               0
% 157.63/20.63  fd_cond                                 0
% 157.63/20.63  fd_pseudo_cond                          0
% 157.63/20.63  AC symbols                              1
% 157.63/20.63  
% 157.63/20.63  ------ Input Options Time Limit: Unbounded
% 157.63/20.63  
% 157.63/20.63  
% 157.63/20.63  ------ 
% 157.63/20.63  Current options:
% 157.63/20.63  ------ 
% 157.63/20.63  
% 157.63/20.63  
% 157.63/20.63  
% 157.63/20.63  
% 157.63/20.63  ------ Proving...
% 157.63/20.63  
% 157.63/20.63  
% 157.63/20.63  % SZS status Unsatisfiable for theBenchmark.p
% 157.63/20.63  
% 157.63/20.63  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 157.63/20.63  
% 157.63/20.63  
%------------------------------------------------------------------------------