TSTP Solution File: LAT023-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LAT023-1 : TPTP v8.2.0. Released v2.2.0.
% 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 10:23:55 EDT 2024

% Result   : Unsatisfiable 49.37s 7.16s
% Output   : CNFRefutation 49.37s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    join(meet(join(X0,X1),X2),X1) = join(meet(join(X2,X1),X0),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modularity_axiom) ).

cnf(c_50,negated_conjecture,
    join(meet(a,b),meet(a,c)) != meet(a,join(b,meet(a,c))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_modularity) ).

cnf(c_51,plain,
    meet(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',idempotence_of_meet) ).

cnf(c_52,plain,
    join(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',idempotence_of_join) ).

cnf(c_53,plain,
    meet(X0,X1) = meet(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',commutativity_of_meet) ).

cnf(c_54,plain,
    join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',commutativity_of_join) ).

cnf(c_55,plain,
    meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',associativity_of_meet) ).

cnf(c_56,plain,
    join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',associativity_of_join) ).

cnf(c_57,plain,
    join(meet(X0,join(X1,X2)),meet(X0,X1)) = meet(X0,join(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',quasi_lattice1) ).

cnf(c_58,plain,
    meet(join(X0,meet(X1,X2)),join(X0,X1)) = join(X0,meet(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT004-0.ax',quasi_lattice2) ).

cnf(c_68,plain,
    join(X0,meet(join(X1,X0),X2)) = join(X0,meet(join(X2,X0),X1)),
    inference(theory_normalisation,[status(thm)],[c_49,c_55,c_53,c_56,c_54]) ).

cnf(c_69,plain,
    join(meet(X0,X1),meet(X0,join(X1,X2))) = meet(X0,join(X1,X2)),
    inference(theory_normalisation,[status(thm)],[c_57,c_55,c_53,c_56,c_54]) ).

cnf(c_70,plain,
    meet(join(X0,X1),join(X0,meet(X1,X2))) = join(X0,meet(X1,X2)),
    inference(theory_normalisation,[status(thm)],[c_58,c_55,c_53,c_56,c_54]) ).

cnf(c_98,plain,
    meet(a,b) = sP0_iProver_def,
    definition ).

cnf(c_99,plain,
    meet(a,c) = sP1_iProver_def,
    definition ).

cnf(c_100,plain,
    join(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_101,plain,
    join(b,sP1_iProver_def) = sP3_iProver_def,
    definition ).

cnf(c_102,plain,
    meet(a,sP3_iProver_def) = sP4_iProver_def,
    definition ).

cnf(c_103,negated_conjecture,
    sP2_iProver_def != sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_50,c_101,c_102,c_99,c_98,c_100]) ).

cnf(c_159,plain,
    join(sP1_iProver_def,b) = sP3_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_101,c_56,c_54,c_55,c_53]) ).

cnf(c_160,plain,
    meet(sP3_iProver_def,a) = sP4_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_102,c_56,c_54,c_55,c_53]) ).

cnf(c_162,plain,
    meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
    inference(superposition,[status(thm)],[c_55,c_53]) ).

cnf(c_180,plain,
    meet(a,meet(c,X0)) = meet(sP1_iProver_def,X0),
    inference(superposition,[status(thm)],[c_99,c_55]) ).

cnf(c_181,plain,
    meet(a,meet(b,X0)) = meet(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_98,c_55]) ).

cnf(c_182,plain,
    meet(X0,meet(X0,X1)) = meet(X0,X1),
    inference(superposition,[status(thm)],[c_51,c_55]) ).

cnf(c_183,plain,
    meet(sP3_iProver_def,meet(a,X0)) = meet(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_160,c_55]) ).

cnf(c_194,plain,
    join(X0,join(X0,X1)) = join(X0,X1),
    inference(superposition,[status(thm)],[c_52,c_56]) ).

cnf(c_195,plain,
    join(sP0_iProver_def,join(sP1_iProver_def,X0)) = join(sP2_iProver_def,X0),
    inference(superposition,[status(thm)],[c_100,c_56]) ).

cnf(c_196,plain,
    join(sP1_iProver_def,join(b,X0)) = join(sP3_iProver_def,X0),
    inference(superposition,[status(thm)],[c_159,c_56]) ).

cnf(c_269,plain,
    join(X0,meet(join(X1,X0),X0)) = join(X0,meet(X0,X1)),
    inference(superposition,[status(thm)],[c_52,c_68]) ).

cnf(c_275,plain,
    join(b,meet(join(X0,b),sP1_iProver_def)) = join(b,meet(sP3_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_159,c_68]) ).

cnf(c_284,plain,
    join(b,meet(sP1_iProver_def,join(X0,b))) = join(b,meet(sP3_iProver_def,X0)),
    inference(theory_normalisation,[status(thm)],[c_275,c_56,c_54,c_55,c_53]) ).

cnf(c_286,plain,
    join(X0,meet(X0,join(X1,X0))) = join(X0,meet(X0,X1)),
    inference(theory_normalisation,[status(thm)],[c_269,c_56,c_54,c_55,c_53]) ).

cnf(c_345,plain,
    join(X0,meet(X0,join(X0,X1))) = meet(X0,join(X0,X1)),
    inference(superposition,[status(thm)],[c_51,c_69]) ).

cnf(c_361,plain,
    join(meet(X0,sP0_iProver_def),meet(X0,sP2_iProver_def)) = meet(X0,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_100,c_69]) ).

cnf(c_362,plain,
    join(meet(X0,sP1_iProver_def),meet(X0,sP3_iProver_def)) = meet(X0,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_159,c_69]) ).

cnf(c_381,plain,
    meet(a,c) = meet(sP1_iProver_def,c),
    inference(superposition,[status(thm)],[c_51,c_180]) ).

cnf(c_382,plain,
    meet(a,meet(X0,c)) = meet(sP1_iProver_def,X0),
    inference(superposition,[status(thm)],[c_53,c_180]) ).

cnf(c_386,plain,
    meet(sP1_iProver_def,c) = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_381,c_99]) ).

cnf(c_445,plain,
    meet(a,sP1_iProver_def) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_99,c_182]) ).

cnf(c_450,plain,
    meet(sP3_iProver_def,sP4_iProver_def) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_160,c_182]) ).

cnf(c_461,plain,
    meet(sP1_iProver_def,a) = sP1_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_445,c_56,c_54,c_55,c_53]) ).

cnf(c_534,plain,
    meet(X0,join(X0,meet(X0,X1))) = join(X0,meet(X0,X1)),
    inference(superposition,[status(thm)],[c_52,c_70]) ).

cnf(c_549,plain,
    meet(join(X0,a),join(X0,sP1_iProver_def)) = join(X0,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_99,c_70]) ).

cnf(c_550,plain,
    meet(join(X0,a),join(X0,sP0_iProver_def)) = join(X0,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_98,c_70]) ).

cnf(c_556,plain,
    meet(join(X0,sP3_iProver_def),join(X0,sP4_iProver_def)) = join(X0,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_160,c_70]) ).

cnf(c_566,plain,
    meet(join(X0,sP0_iProver_def),join(X0,a)) = join(X0,sP0_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_550,c_56,c_54,c_55,c_53]) ).

cnf(c_567,plain,
    meet(join(X0,sP1_iProver_def),join(X0,a)) = join(X0,sP1_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_549,c_56,c_54,c_55,c_53]) ).

cnf(c_585,plain,
    meet(sP3_iProver_def,meet(sP4_iProver_def,X0)) = meet(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_450,c_55]) ).

cnf(c_628,plain,
    meet(sP3_iProver_def,sP0_iProver_def) = meet(sP4_iProver_def,b),
    inference(superposition,[status(thm)],[c_98,c_183]) ).

cnf(c_630,plain,
    meet(sP3_iProver_def,meet(X0,a)) = meet(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_53,c_183]) ).

cnf(c_640,plain,
    meet(sP0_iProver_def,sP3_iProver_def) = meet(sP4_iProver_def,b),
    inference(theory_normalisation,[status(thm)],[c_628,c_56,c_54,c_55,c_53]) ).

cnf(c_665,plain,
    meet(sP4_iProver_def,meet(sP0_iProver_def,sP3_iProver_def)) = meet(sP0_iProver_def,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_640,c_182]) ).

cnf(c_669,plain,
    meet(sP0_iProver_def,meet(sP3_iProver_def,sP4_iProver_def)) = meet(sP0_iProver_def,sP3_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_665,c_56,c_54,c_55,c_53]) ).

cnf(c_670,plain,
    meet(sP0_iProver_def,sP3_iProver_def) = meet(sP0_iProver_def,sP4_iProver_def),
    inference(ac_demodulation,[status(thm)],[c_669,c_450,c_56,c_54,c_55,c_53]) ).

cnf(c_730,plain,
    join(sP0_iProver_def,sP2_iProver_def) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_100,c_194]) ).

cnf(c_731,plain,
    join(sP1_iProver_def,sP3_iProver_def) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_159,c_194]) ).

cnf(c_807,plain,
    join(sP0_iProver_def,sP1_iProver_def) = join(sP2_iProver_def,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_52,c_195]) ).

cnf(c_811,plain,
    join(sP0_iProver_def,sP3_iProver_def) = join(sP2_iProver_def,b),
    inference(superposition,[status(thm)],[c_159,c_195]) ).

cnf(c_813,plain,
    join(sP0_iProver_def,sP3_iProver_def) = join(sP2_iProver_def,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_731,c_195]) ).

cnf(c_820,plain,
    join(sP0_iProver_def,sP1_iProver_def) = join(sP1_iProver_def,sP2_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_807,c_56,c_54,c_55,c_53]) ).

cnf(c_821,plain,
    join(sP1_iProver_def,sP2_iProver_def) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_820,c_100]) ).

cnf(c_844,plain,
    join(meet(X0,sP1_iProver_def),meet(X0,sP2_iProver_def)) = meet(X0,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_821,c_69]) ).

cnf(c_943,plain,
    join(sP1_iProver_def,join(X0,b)) = join(sP3_iProver_def,X0),
    inference(superposition,[status(thm)],[c_54,c_196]) ).

cnf(c_1021,plain,
    meet(sP0_iProver_def,c) = meet(sP1_iProver_def,b),
    inference(superposition,[status(thm)],[c_382,c_181]) ).

cnf(c_1114,plain,
    meet(sP1_iProver_def,meet(sP0_iProver_def,c)) = meet(sP0_iProver_def,c),
    inference(superposition,[status(thm)],[c_1021,c_182]) ).

cnf(c_1120,plain,
    meet(sP0_iProver_def,meet(sP1_iProver_def,c)) = meet(sP0_iProver_def,c),
    inference(theory_normalisation,[status(thm)],[c_1114,c_56,c_54,c_55,c_53]) ).

cnf(c_1121,plain,
    meet(sP0_iProver_def,c) = meet(sP0_iProver_def,sP1_iProver_def),
    inference(ac_demodulation,[status(thm)],[c_1120,c_386,c_56,c_54,c_55,c_53]) ).

cnf(c_1123,plain,
    meet(sP0_iProver_def,sP1_iProver_def) = meet(sP1_iProver_def,b),
    inference(demodulation,[status(thm)],[c_1021,c_1121]) ).

cnf(c_1228,plain,
    meet(sP3_iProver_def,meet(X0,sP4_iProver_def)) = meet(X0,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_53,c_585]) ).

cnf(c_4405,plain,
    join(sP0_iProver_def,meet(sP0_iProver_def,sP2_iProver_def)) = meet(sP0_iProver_def,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_51,c_361]) ).

cnf(c_4409,plain,
    join(meet(sP2_iProver_def,sP0_iProver_def),sP2_iProver_def) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_51,c_361]) ).

cnf(c_4421,plain,
    join(sP2_iProver_def,meet(sP0_iProver_def,sP2_iProver_def)) = sP2_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_4409,c_56,c_54,c_55,c_53]) ).

cnf(c_4542,plain,
    join(meet(sP1_iProver_def,X0),meet(X0,sP3_iProver_def)) = meet(X0,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_53,c_362]) ).

cnf(c_4703,plain,
    join(meet(join(X0,sP3_iProver_def),X0),join(X0,sP4_iProver_def)) = join(X0,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_556,c_69]) ).

cnf(c_4706,plain,
    join(X0,join(sP4_iProver_def,meet(X0,join(X0,sP3_iProver_def)))) = join(X0,sP4_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_4703,c_56,c_54,c_55,c_53]) ).

cnf(c_4707,plain,
    join(sP4_iProver_def,meet(X0,join(X0,sP3_iProver_def))) = join(X0,sP4_iProver_def),
    inference(ac_demodulation,[status(thm)],[c_4706,c_345,c_56,c_54,c_55,c_53]) ).

cnf(c_4914,plain,
    meet(join(sP0_iProver_def,X0),join(X0,a)) = join(sP0_iProver_def,X0),
    inference(superposition,[status(thm)],[c_54,c_566]) ).

cnf(c_5074,plain,
    meet(join(sP1_iProver_def,X0),join(X0,a)) = join(sP1_iProver_def,X0),
    inference(superposition,[status(thm)],[c_54,c_567]) ).

cnf(c_5076,plain,
    meet(sP2_iProver_def,join(sP0_iProver_def,a)) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_100,c_567]) ).

cnf(c_5079,plain,
    meet(join(X0,sP1_iProver_def),join(a,X0)) = join(X0,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_54,c_567]) ).

cnf(c_5180,plain,
    meet(sP2_iProver_def,meet(join(sP0_iProver_def,a),X0)) = meet(sP2_iProver_def,X0),
    inference(superposition,[status(thm)],[c_5076,c_55]) ).

cnf(c_5611,plain,
    join(meet(sP1_iProver_def,X0),meet(X0,sP2_iProver_def)) = meet(X0,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_53,c_844]) ).

cnf(c_5623,plain,
    meet(join(meet(X0,sP1_iProver_def),X0),meet(X0,sP2_iProver_def)) = meet(X0,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_844,c_70]) ).

cnf(c_5627,plain,
    meet(X0,meet(sP2_iProver_def,join(X0,meet(X0,sP1_iProver_def)))) = meet(X0,sP2_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_5623,c_56,c_54,c_55,c_53]) ).

cnf(c_5628,plain,
    meet(sP2_iProver_def,join(X0,meet(X0,sP1_iProver_def))) = meet(X0,sP2_iProver_def),
    inference(ac_demodulation,[status(thm)],[c_5627,c_534,c_56,c_54,c_55,c_53]) ).

cnf(c_7319,plain,
    join(sP1_iProver_def,meet(a,sP3_iProver_def)) = meet(a,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_461,c_4542]) ).

cnf(c_7353,plain,
    join(sP1_iProver_def,meet(sP3_iProver_def,a)) = meet(sP3_iProver_def,a),
    inference(theory_normalisation,[status(thm)],[c_7319,c_56,c_54,c_55,c_53]) ).

cnf(c_7354,plain,
    join(sP1_iProver_def,sP4_iProver_def) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_7353,c_160]) ).

cnf(c_7930,plain,
    join(sP1_iProver_def,join(sP4_iProver_def,X0)) = join(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_7354,c_56]) ).

cnf(c_7937,plain,
    join(sP0_iProver_def,sP4_iProver_def) = join(sP2_iProver_def,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_7354,c_195]) ).

cnf(c_8186,plain,
    join(sP3_iProver_def,sP4_iProver_def) = join(sP4_iProver_def,b),
    inference(superposition,[status(thm)],[c_7930,c_943]) ).

cnf(c_8443,plain,
    join(sP4_iProver_def,meet(sP2_iProver_def,join(sP0_iProver_def,sP3_iProver_def))) = join(sP2_iProver_def,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_813,c_4707]) ).

cnf(c_8456,plain,
    join(sP4_iProver_def,meet(sP2_iProver_def,join(sP0_iProver_def,sP3_iProver_def))) = join(sP0_iProver_def,sP4_iProver_def),
    inference(light_normalisation,[status(thm)],[c_8443,c_7937]) ).

cnf(c_8911,plain,
    meet(sP2_iProver_def,join(sP2_iProver_def,a)) = sP2_iProver_def,
    inference(superposition,[status(thm)],[c_730,c_4914]) ).

cnf(c_9691,plain,
    meet(sP3_iProver_def,join(b,a)) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_159,c_5074]) ).

cnf(c_9721,plain,
    join(meet(join(sP1_iProver_def,X0),X0),join(sP1_iProver_def,X0)) = join(sP1_iProver_def,X0),
    inference(superposition,[status(thm)],[c_5074,c_69]) ).

cnf(c_9723,plain,
    meet(sP3_iProver_def,join(a,b)) = sP3_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_9691,c_56,c_54,c_55,c_53]) ).

cnf(c_9725,plain,
    join(X0,join(sP1_iProver_def,meet(X0,join(sP1_iProver_def,X0)))) = join(sP1_iProver_def,X0),
    inference(theory_normalisation,[status(thm)],[c_9721,c_56,c_54,c_55,c_53]) ).

cnf(c_9726,plain,
    join(sP1_iProver_def,join(X0,meet(X0,sP1_iProver_def))) = join(sP1_iProver_def,X0),
    inference(ac_demodulation,[status(thm)],[c_9725,c_286,c_56,c_54,c_55,c_53]) ).

cnf(c_10423,plain,
    join(meet(sP3_iProver_def,a),sP3_iProver_def) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_9723,c_69]) ).

cnf(c_10426,plain,
    join(sP3_iProver_def,meet(sP3_iProver_def,a)) = sP3_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_10423,c_56,c_54,c_55,c_53]) ).

cnf(c_10427,plain,
    join(sP3_iProver_def,sP4_iProver_def) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_10426,c_160]) ).

cnf(c_10430,plain,
    join(sP4_iProver_def,b) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_8186,c_10427]) ).

cnf(c_10443,plain,
    join(sP3_iProver_def,join(sP4_iProver_def,X0)) = join(sP3_iProver_def,X0),
    inference(superposition,[status(thm)],[c_10427,c_56]) ).

cnf(c_10447,plain,
    join(sP4_iProver_def,meet(join(X0,sP4_iProver_def),sP3_iProver_def)) = join(sP4_iProver_def,meet(sP3_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_10427,c_68]) ).

cnf(c_10457,plain,
    join(sP4_iProver_def,meet(sP3_iProver_def,join(X0,sP4_iProver_def))) = join(sP4_iProver_def,meet(sP3_iProver_def,X0)),
    inference(theory_normalisation,[status(thm)],[c_10447,c_56,c_54,c_55,c_53]) ).

cnf(c_10467,plain,
    join(meet(X0,sP4_iProver_def),meet(X0,sP3_iProver_def)) = meet(X0,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_10430,c_69]) ).

cnf(c_10485,plain,
    join(meet(X0,sP3_iProver_def),meet(X0,sP4_iProver_def)) = meet(X0,sP3_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_10467,c_56,c_54,c_55,c_53]) ).

cnf(c_10594,plain,
    join(sP3_iProver_def,meet(X0,join(X0,sP3_iProver_def))) = join(sP3_iProver_def,join(X0,sP4_iProver_def)),
    inference(superposition,[status(thm)],[c_4707,c_10443]) ).

cnf(c_10618,plain,
    join(sP3_iProver_def,meet(X0,join(X0,sP3_iProver_def))) = join(X0,sP3_iProver_def),
    inference(ac_demodulation,[status(thm)],[c_10594,c_10427,c_56,c_54,c_55,c_53]) ).

cnf(c_11172,plain,
    meet(join(a,X0),join(X0,sP1_iProver_def)) = join(X0,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_5079,c_53]) ).

cnf(c_11704,plain,
    meet(sP2_iProver_def,join(a,a)) = meet(sP2_iProver_def,join(sP0_iProver_def,a)),
    inference(superposition,[status(thm)],[c_4914,c_5180]) ).

cnf(c_11713,plain,
    meet(sP2_iProver_def,join(sP0_iProver_def,a)) = meet(sP2_iProver_def,a),
    inference(ac_demodulation,[status(thm)],[c_11704,c_52,c_56,c_54,c_55,c_53]) ).

cnf(c_11714,plain,
    meet(sP2_iProver_def,a) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_11713,c_5076]) ).

cnf(c_11916,plain,
    join(meet(sP1_iProver_def,X0),meet(sP2_iProver_def,X0)) = meet(sP2_iProver_def,X0),
    inference(superposition,[status(thm)],[c_53,c_5611]) ).

cnf(c_12337,plain,
    meet(sP2_iProver_def,meet(a,X0)) = meet(sP2_iProver_def,X0),
    inference(superposition,[status(thm)],[c_11714,c_55]) ).

cnf(c_12346,plain,
    meet(sP3_iProver_def,sP2_iProver_def) = meet(sP4_iProver_def,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_11714,c_630]) ).

cnf(c_12347,plain,
    meet(sP2_iProver_def,sP3_iProver_def) = meet(sP2_iProver_def,sP4_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_12346,c_56,c_54,c_55,c_53]) ).

cnf(c_12398,plain,
    meet(sP2_iProver_def,b) = meet(sP2_iProver_def,sP0_iProver_def),
    inference(superposition,[status(thm)],[c_98,c_12337]) ).

cnf(c_12418,plain,
    meet(sP0_iProver_def,sP2_iProver_def) = meet(sP2_iProver_def,b),
    inference(theory_normalisation,[status(thm)],[c_12398,c_56,c_54,c_55,c_53]) ).

cnf(c_12446,plain,
    meet(X0,meet(sP0_iProver_def,sP2_iProver_def)) = meet(sP2_iProver_def,meet(X0,b)),
    inference(superposition,[status(thm)],[c_12418,c_162]) ).

cnf(c_12836,plain,
    meet(sP2_iProver_def,join(X0,meet(sP1_iProver_def,X0))) = meet(X0,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_53,c_5628]) ).

cnf(c_22490,plain,
    join(sP3_iProver_def,meet(b,sP1_iProver_def)) = join(sP1_iProver_def,b),
    inference(superposition,[status(thm)],[c_9726,c_196]) ).

cnf(c_22500,plain,
    join(sP3_iProver_def,meet(sP1_iProver_def,b)) = join(sP1_iProver_def,b),
    inference(theory_normalisation,[status(thm)],[c_22490,c_56,c_54,c_55,c_53]) ).

cnf(c_22501,plain,
    join(sP3_iProver_def,meet(sP0_iProver_def,sP1_iProver_def)) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_22500,c_159,c_1123]) ).

cnf(c_22539,plain,
    meet(join(sP3_iProver_def,sP0_iProver_def),sP3_iProver_def) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_22501,c_70]) ).

cnf(c_22548,plain,
    meet(sP3_iProver_def,join(sP0_iProver_def,sP3_iProver_def)) = sP3_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_22539,c_56,c_54,c_55,c_53]) ).

cnf(c_22561,plain,
    meet(sP3_iProver_def,meet(join(sP0_iProver_def,sP3_iProver_def),X0)) = meet(sP3_iProver_def,X0),
    inference(superposition,[status(thm)],[c_22548,c_55]) ).

cnf(c_22706,plain,
    join(meet(X0,sP3_iProver_def),meet(sP4_iProver_def,X0)) = meet(X0,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_53,c_10485]) ).

cnf(c_23422,plain,
    join(meet(join(a,X0),X0),join(X0,sP1_iProver_def)) = join(X0,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_11172,c_69]) ).

cnf(c_23431,plain,
    join(X0,join(sP1_iProver_def,meet(X0,join(a,X0)))) = join(X0,sP1_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_23422,c_56,c_54,c_55,c_53]) ).

cnf(c_23432,plain,
    join(sP1_iProver_def,join(X0,meet(X0,a))) = join(X0,sP1_iProver_def),
    inference(ac_demodulation,[status(thm)],[c_23431,c_286,c_56,c_54,c_55,c_53]) ).

cnf(c_26381,plain,
    meet(sP2_iProver_def,join(b,meet(sP0_iProver_def,sP1_iProver_def))) = meet(b,sP2_iProver_def),
    inference(superposition,[status(thm)],[c_1123,c_12836]) ).

cnf(c_26417,plain,
    meet(sP2_iProver_def,join(b,meet(sP0_iProver_def,sP1_iProver_def))) = meet(sP2_iProver_def,b),
    inference(theory_normalisation,[status(thm)],[c_26381,c_56,c_54,c_55,c_53]) ).

cnf(c_26418,plain,
    meet(sP2_iProver_def,join(b,meet(sP0_iProver_def,sP1_iProver_def))) = meet(sP0_iProver_def,sP2_iProver_def),
    inference(light_normalisation,[status(thm)],[c_26417,c_12418]) ).

cnf(c_48239,plain,
    meet(join(sP0_iProver_def,sP3_iProver_def),sP4_iProver_def) = meet(sP3_iProver_def,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_22561,c_1228]) ).

cnf(c_48243,plain,
    meet(sP4_iProver_def,join(sP0_iProver_def,sP3_iProver_def)) = meet(sP3_iProver_def,sP4_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_48239,c_56,c_54,c_55,c_53]) ).

cnf(c_48244,plain,
    meet(sP4_iProver_def,join(sP0_iProver_def,sP3_iProver_def)) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_48243,c_450]) ).

cnf(c_48513,plain,
    join(meet(sP4_iProver_def,sP0_iProver_def),sP4_iProver_def) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_48244,c_69]) ).

cnf(c_48521,plain,
    join(sP4_iProver_def,meet(sP0_iProver_def,sP4_iProver_def)) = sP4_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_48513,c_56,c_54,c_55,c_53]) ).

cnf(c_48522,plain,
    join(sP4_iProver_def,meet(sP0_iProver_def,sP3_iProver_def)) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_48521,c_670]) ).

cnf(c_48631,plain,
    meet(join(sP4_iProver_def,sP0_iProver_def),sP4_iProver_def) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_48522,c_70]) ).

cnf(c_48643,plain,
    meet(sP4_iProver_def,join(sP0_iProver_def,sP4_iProver_def)) = sP4_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_48631,c_56,c_54,c_55,c_53]) ).

cnf(c_49078,plain,
    join(meet(join(sP0_iProver_def,sP4_iProver_def),sP3_iProver_def),sP4_iProver_def) = meet(join(sP0_iProver_def,sP4_iProver_def),sP3_iProver_def),
    inference(superposition,[status(thm)],[c_48643,c_22706]) ).

cnf(c_49111,plain,
    join(sP4_iProver_def,meet(sP3_iProver_def,join(sP0_iProver_def,sP4_iProver_def))) = meet(sP3_iProver_def,join(sP0_iProver_def,sP4_iProver_def)),
    inference(theory_normalisation,[status(thm)],[c_49078,c_56,c_54,c_55,c_53]) ).

cnf(c_49112,plain,
    join(sP4_iProver_def,meet(sP3_iProver_def,sP0_iProver_def)) = meet(sP3_iProver_def,join(sP0_iProver_def,sP4_iProver_def)),
    inference(ac_demodulation,[status(thm)],[c_49111,c_10457,c_56,c_54,c_55,c_53]) ).

cnf(c_49113,plain,
    join(sP4_iProver_def,meet(sP0_iProver_def,sP3_iProver_def)) = meet(sP3_iProver_def,join(sP0_iProver_def,sP4_iProver_def)),
    inference(theory_normalisation,[status(thm)],[c_49112,c_56,c_54,c_55,c_53]) ).

cnf(c_49114,plain,
    meet(sP3_iProver_def,join(sP0_iProver_def,sP4_iProver_def)) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_49113,c_48522]) ).

cnf(c_51607,plain,
    join(sP3_iProver_def,meet(b,a)) = join(b,sP1_iProver_def),
    inference(superposition,[status(thm)],[c_23432,c_196]) ).

cnf(c_51618,plain,
    join(sP3_iProver_def,meet(a,b)) = join(sP1_iProver_def,b),
    inference(theory_normalisation,[status(thm)],[c_51607,c_56,c_54,c_55,c_53]) ).

cnf(c_51619,plain,
    join(sP3_iProver_def,sP0_iProver_def) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_51618,c_98,c_159]) ).

cnf(c_51620,plain,
    join(sP0_iProver_def,sP3_iProver_def) = sP3_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_51619,c_56,c_54,c_55,c_53]) ).

cnf(c_51671,plain,
    join(sP4_iProver_def,meet(sP2_iProver_def,sP3_iProver_def)) = join(sP0_iProver_def,sP4_iProver_def),
    inference(demodulation,[status(thm)],[c_8456,c_51620]) ).

cnf(c_51677,plain,
    join(sP2_iProver_def,sP3_iProver_def) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_813,c_51620]) ).

cnf(c_51678,plain,
    join(sP2_iProver_def,b) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_811,c_51620]) ).

cnf(c_52201,plain,
    join(meet(X0,sP0_iProver_def),meet(X0,sP3_iProver_def)) = meet(X0,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_51620,c_69]) ).

cnf(c_52210,plain,
    meet(sP3_iProver_def,join(sP0_iProver_def,sP4_iProver_def)) = join(sP0_iProver_def,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_51620,c_556]) ).

cnf(c_52227,plain,
    join(sP0_iProver_def,sP4_iProver_def) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_52210,c_49114]) ).

cnf(c_52241,plain,
    join(sP2_iProver_def,sP4_iProver_def) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_7937,c_52227]) ).

cnf(c_52257,plain,
    join(meet(X0,sP2_iProver_def),meet(X0,sP3_iProver_def)) = meet(X0,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_51677,c_69]) ).

cnf(c_52265,plain,
    join(sP3_iProver_def,meet(sP2_iProver_def,sP3_iProver_def)) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_51677,c_10618]) ).

cnf(c_52412,plain,
    join(meet(X0,sP2_iProver_def),meet(X0,sP4_iProver_def)) = meet(X0,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_52241,c_69]) ).

cnf(c_53863,plain,
    join(sP4_iProver_def,meet(sP2_iProver_def,sP3_iProver_def)) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_51671,c_52227]) ).

cnf(c_53871,plain,
    join(meet(sP2_iProver_def,sP3_iProver_def),meet(join(X0,meet(sP2_iProver_def,sP3_iProver_def)),sP4_iProver_def)) = join(meet(sP2_iProver_def,sP3_iProver_def),meet(sP4_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_53863,c_68]) ).

cnf(c_53902,plain,
    join(meet(sP2_iProver_def,sP3_iProver_def),meet(sP4_iProver_def,join(X0,meet(sP2_iProver_def,sP3_iProver_def)))) = join(meet(sP2_iProver_def,sP3_iProver_def),meet(sP4_iProver_def,X0)),
    inference(theory_normalisation,[status(thm)],[c_53871,c_56,c_54,c_55,c_53]) ).

cnf(c_74942,plain,
    join(meet(sP0_iProver_def,X0),meet(X0,sP3_iProver_def)) = meet(X0,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_53,c_52201]) ).

cnf(c_75098,plain,
    meet(join(meet(X0,sP2_iProver_def),X0),meet(X0,sP3_iProver_def)) = meet(X0,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_52257,c_70]) ).

cnf(c_75125,plain,
    meet(X0,meet(sP3_iProver_def,join(X0,meet(X0,sP2_iProver_def)))) = meet(X0,sP3_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_75098,c_56,c_54,c_55,c_53]) ).

cnf(c_75126,plain,
    meet(sP3_iProver_def,join(X0,meet(X0,sP2_iProver_def))) = meet(X0,sP3_iProver_def),
    inference(ac_demodulation,[status(thm)],[c_75125,c_534,c_56,c_54,c_55,c_53]) ).

cnf(c_75577,plain,
    join(meet(sP2_iProver_def,X0),meet(X0,sP4_iProver_def)) = meet(X0,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_53,c_52412]) ).

cnf(c_88160,plain,
    meet(sP3_iProver_def,meet(sP0_iProver_def,sP2_iProver_def)) = meet(sP0_iProver_def,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_4405,c_75126]) ).

cnf(c_88163,plain,
    meet(sP3_iProver_def,join(X0,meet(sP2_iProver_def,X0))) = meet(X0,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_53,c_75126]) ).

cnf(c_88192,plain,
    meet(sP0_iProver_def,meet(sP2_iProver_def,sP3_iProver_def)) = meet(sP0_iProver_def,sP3_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_88160,c_56,c_54,c_55,c_53]) ).

cnf(c_102292,plain,
    meet(sP3_iProver_def,join(a,sP2_iProver_def)) = meet(a,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_11714,c_88163]) ).

cnf(c_102385,plain,
    meet(sP3_iProver_def,join(sP2_iProver_def,a)) = meet(sP3_iProver_def,a),
    inference(theory_normalisation,[status(thm)],[c_102292,c_56,c_54,c_55,c_53]) ).

cnf(c_102386,plain,
    meet(sP3_iProver_def,join(sP2_iProver_def,a)) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_102385,c_160]) ).

cnf(c_103547,plain,
    meet(sP3_iProver_def,meet(join(sP2_iProver_def,a),X0)) = meet(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_102386,c_55]) ).

cnf(c_107531,plain,
    meet(sP3_iProver_def,meet(sP2_iProver_def,meet(join(sP2_iProver_def,a),b))) = meet(sP4_iProver_def,meet(sP0_iProver_def,sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_12446,c_103547]) ).

cnf(c_107641,plain,
    meet(sP2_iProver_def,meet(sP3_iProver_def,meet(b,join(sP2_iProver_def,a)))) = meet(sP0_iProver_def,meet(sP2_iProver_def,sP4_iProver_def)),
    inference(theory_normalisation,[status(thm)],[c_107531,c_56,c_54,c_55,c_53]) ).

cnf(c_107642,plain,
    meet(sP0_iProver_def,meet(sP2_iProver_def,sP4_iProver_def)) = meet(sP3_iProver_def,meet(b,sP2_iProver_def)),
    inference(ac_demodulation,[status(thm)],[c_107641,c_8911,c_56,c_54,c_55,c_53]) ).

cnf(c_107643,plain,
    meet(sP3_iProver_def,meet(b,sP2_iProver_def)) = meet(sP0_iProver_def,sP3_iProver_def),
    inference(light_normalisation,[status(thm)],[c_107642,c_12347,c_88192]) ).

cnf(c_107644,plain,
    meet(sP2_iProver_def,meet(sP3_iProver_def,b)) = meet(sP0_iProver_def,sP3_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_107643,c_56,c_54,c_55,c_53]) ).

cnf(c_110024,plain,
    join(b,meet(sP1_iProver_def,sP3_iProver_def)) = join(b,meet(sP3_iProver_def,sP2_iProver_def)),
    inference(superposition,[status(thm)],[c_51678,c_284]) ).

cnf(c_110026,plain,
    join(b,meet(sP1_iProver_def,sP3_iProver_def)) = join(b,meet(sP3_iProver_def,sP4_iProver_def)),
    inference(superposition,[status(thm)],[c_10430,c_284]) ).

cnf(c_110033,plain,
    meet(join(b,sP1_iProver_def),join(b,meet(sP3_iProver_def,X0))) = join(b,meet(sP3_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_284,c_70]) ).

cnf(c_110044,plain,
    join(b,meet(sP1_iProver_def,sP3_iProver_def)) = join(b,sP4_iProver_def),
    inference(light_normalisation,[status(thm)],[c_110026,c_450]) ).

cnf(c_110045,plain,
    join(b,meet(sP1_iProver_def,sP3_iProver_def)) = join(sP4_iProver_def,b),
    inference(theory_normalisation,[status(thm)],[c_110044,c_56,c_54,c_55,c_53]) ).

cnf(c_110046,plain,
    join(b,meet(sP1_iProver_def,sP3_iProver_def)) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_110045,c_10430]) ).

cnf(c_110048,plain,
    join(b,meet(sP1_iProver_def,sP3_iProver_def)) = join(b,meet(sP2_iProver_def,sP3_iProver_def)),
    inference(theory_normalisation,[status(thm)],[c_110024,c_56,c_54,c_55,c_53]) ).

cnf(c_110070,plain,
    meet(join(sP1_iProver_def,b),join(b,meet(sP3_iProver_def,X0))) = join(b,meet(sP3_iProver_def,X0)),
    inference(theory_normalisation,[status(thm)],[c_110033,c_56,c_54,c_55,c_53]) ).

cnf(c_110071,plain,
    meet(sP3_iProver_def,join(b,meet(sP3_iProver_def,X0))) = join(b,meet(sP3_iProver_def,X0)),
    inference(light_normalisation,[status(thm)],[c_110070,c_159]) ).

cnf(c_110424,plain,
    join(b,join(meet(sP1_iProver_def,sP3_iProver_def),X0)) = join(sP3_iProver_def,X0),
    inference(superposition,[status(thm)],[c_110046,c_56]) ).

cnf(c_110427,plain,
    join(meet(X0,b),meet(X0,sP3_iProver_def)) = meet(X0,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_110046,c_69]) ).

cnf(c_110464,plain,
    join(meet(X0,sP3_iProver_def),meet(X0,b)) = meet(X0,sP3_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_110427,c_56,c_54,c_55,c_53]) ).

cnf(c_110896,plain,
    join(b,meet(sP2_iProver_def,sP3_iProver_def)) = join(sP3_iProver_def,meet(sP2_iProver_def,sP3_iProver_def)),
    inference(superposition,[status(thm)],[c_11916,c_110424]) ).

cnf(c_110961,plain,
    join(b,meet(sP2_iProver_def,sP3_iProver_def)) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_110896,c_52265,c_110048]) ).

cnf(c_111234,plain,
    join(meet(sP3_iProver_def,X0),meet(X0,b)) = meet(sP3_iProver_def,X0),
    inference(superposition,[status(thm)],[c_53,c_110464]) ).

cnf(c_111238,plain,
    join(meet(b,sP3_iProver_def),b) = meet(b,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_51,c_110464]) ).

cnf(c_111275,plain,
    join(b,meet(sP3_iProver_def,b)) = meet(sP3_iProver_def,b),
    inference(theory_normalisation,[status(thm)],[c_111238,c_56,c_54,c_55,c_53]) ).

cnf(c_113161,plain,
    join(meet(sP3_iProver_def,X0),meet(b,X0)) = meet(sP3_iProver_def,X0),
    inference(superposition,[status(thm)],[c_53,c_111234]) ).

cnf(c_114414,plain,
    meet(join(meet(sP3_iProver_def,X0),b),meet(sP3_iProver_def,X0)) = meet(sP3_iProver_def,X0),
    inference(superposition,[status(thm)],[c_113161,c_70]) ).

cnf(c_114451,plain,
    meet(X0,meet(sP3_iProver_def,join(b,meet(sP3_iProver_def,X0)))) = meet(sP3_iProver_def,X0),
    inference(theory_normalisation,[status(thm)],[c_114414,c_56,c_54,c_55,c_53]) ).

cnf(c_114452,plain,
    meet(X0,join(b,meet(sP3_iProver_def,X0))) = meet(sP3_iProver_def,X0),
    inference(ac_demodulation,[status(thm)],[c_114451,c_110071,c_56,c_54,c_55,c_53]) ).

cnf(c_115956,plain,
    join(meet(sP3_iProver_def,sP2_iProver_def),meet(join(b,meet(sP3_iProver_def,sP2_iProver_def)),sP4_iProver_def)) = meet(join(b,meet(sP3_iProver_def,sP2_iProver_def)),sP4_iProver_def),
    inference(superposition,[status(thm)],[c_114452,c_75577]) ).

cnf(c_116554,plain,
    join(meet(sP2_iProver_def,sP3_iProver_def),meet(sP4_iProver_def,join(b,meet(sP2_iProver_def,sP3_iProver_def)))) = meet(sP4_iProver_def,join(b,meet(sP2_iProver_def,sP3_iProver_def))),
    inference(theory_normalisation,[status(thm)],[c_115956,c_56,c_54,c_55,c_53]) ).

cnf(c_116555,plain,
    join(meet(sP2_iProver_def,sP3_iProver_def),meet(sP4_iProver_def,b)) = meet(sP4_iProver_def,join(b,meet(sP2_iProver_def,sP3_iProver_def))),
    inference(ac_demodulation,[status(thm)],[c_116554,c_53902,c_56,c_54,c_55,c_53]) ).

cnf(c_116556,plain,
    join(meet(sP2_iProver_def,sP3_iProver_def),meet(sP0_iProver_def,sP3_iProver_def)) = meet(sP4_iProver_def,sP3_iProver_def),
    inference(light_normalisation,[status(thm)],[c_116555,c_640,c_110961]) ).

cnf(c_116557,plain,
    join(meet(sP0_iProver_def,sP3_iProver_def),meet(sP2_iProver_def,sP3_iProver_def)) = meet(sP3_iProver_def,sP4_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_116556,c_56,c_54,c_55,c_53]) ).

cnf(c_116558,plain,
    join(meet(sP0_iProver_def,sP3_iProver_def),meet(sP2_iProver_def,sP3_iProver_def)) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_116557,c_450]) ).

cnf(c_118755,plain,
    join(X0,meet(X0,join(X0,X1))) = join(X0,meet(X0,X1)),
    inference(superposition,[status(thm)],[c_54,c_286]) ).

cnf(c_118763,plain,
    join(b,meet(b,sP1_iProver_def)) = join(b,meet(b,sP3_iProver_def)),
    inference(superposition,[status(thm)],[c_159,c_286]) ).

cnf(c_119236,plain,
    join(b,meet(sP1_iProver_def,b)) = join(b,meet(sP3_iProver_def,b)),
    inference(theory_normalisation,[status(thm)],[c_118763,c_56,c_54,c_55,c_53]) ).

cnf(c_119237,plain,
    join(b,meet(sP0_iProver_def,sP1_iProver_def)) = meet(sP3_iProver_def,b),
    inference(light_normalisation,[status(thm)],[c_119236,c_1123,c_111275]) ).

cnf(c_120075,plain,
    meet(sP2_iProver_def,meet(sP3_iProver_def,b)) = meet(sP0_iProver_def,sP2_iProver_def),
    inference(demodulation,[status(thm)],[c_26418,c_119237]) ).

cnf(c_120077,plain,
    meet(sP0_iProver_def,sP2_iProver_def) = meet(sP0_iProver_def,sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_107644,c_120075]) ).

cnf(c_123767,plain,
    join(meet(sP0_iProver_def,sP2_iProver_def),meet(sP2_iProver_def,sP3_iProver_def)) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_116558,c_120077]) ).

cnf(c_123768,plain,
    meet(sP2_iProver_def,sP3_iProver_def) = sP4_iProver_def,
    inference(ac_demodulation,[status(thm)],[c_123767,c_74942,c_56,c_54,c_55,c_53]) ).

cnf(c_132703,plain,
    join(X0,meet(X0,X1)) = meet(X0,join(X0,X1)),
    inference(light_normalisation,[status(thm)],[c_345,c_118755]) ).

cnf(c_132765,plain,
    join(sP2_iProver_def,meet(sP2_iProver_def,b)) = meet(sP2_iProver_def,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_51678,c_132703]) ).

cnf(c_133320,plain,
    sP2_iProver_def = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_132765,c_4421,c_12418,c_123768]) ).

cnf(c_133321,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_133320,c_103]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT023-1 : TPTP v8.2.0. Released v2.2.0.
% 0.07/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n028.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 : Fri Jun 21 23:39:09 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.19/0.45  Running UEQ theorem proving
% 0.19/0.45  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 49.37/7.16  % SZS status Started for theBenchmark.p
% 49.37/7.16  % SZS status Unsatisfiable for theBenchmark.p
% 49.37/7.16  
% 49.37/7.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 49.37/7.16  
% 49.37/7.16  ------  iProver source info
% 49.37/7.16  
% 49.37/7.16  git: date: 2024-06-12 09:56:46 +0000
% 49.37/7.16  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 49.37/7.16  git: non_committed_changes: false
% 49.37/7.16  
% 49.37/7.16  ------ Parsing...successful
% 49.37/7.16  
% 49.37/7.16  
% 49.37/7.16  
% 49.37/7.16  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 49.37/7.16  
% 49.37/7.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 49.37/7.16  
% 49.37/7.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 49.37/7.16  ------ Proving...
% 49.37/7.16  ------ Problem Properties 
% 49.37/7.16  
% 49.37/7.16  
% 49.37/7.16  clauses                                 15
% 49.37/7.16  conjectures                             1
% 49.37/7.16  EPR                                     1
% 49.37/7.16  Horn                                    15
% 49.37/7.16  unary                                   15
% 49.37/7.16  binary                                  0
% 49.37/7.16  lits                                    15
% 49.37/7.16  lits eq                                 15
% 49.37/7.16  fd_pure                                 0
% 49.37/7.16  fd_pseudo                               0
% 49.37/7.16  fd_cond                                 0
% 49.37/7.16  fd_pseudo_cond                          0
% 49.37/7.16  AC symbols                              2
% 49.37/7.16  
% 49.37/7.16  ------ Input Options Time Limit: Unbounded
% 49.37/7.16  
% 49.37/7.16  
% 49.37/7.16  ------ 
% 49.37/7.16  Current options:
% 49.37/7.16  ------ 
% 49.37/7.16  
% 49.37/7.16  
% 49.37/7.16  
% 49.37/7.16  
% 49.37/7.16  ------ Proving...
% 49.37/7.16  
% 49.37/7.16  
% 49.37/7.16  % SZS status Unsatisfiable for theBenchmark.p
% 49.37/7.16  
% 49.37/7.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 49.37/7.16  
% 49.37/7.17  
%------------------------------------------------------------------------------