TSTP Solution File: REL027-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : REL027-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 13:56:08 EDT 2024
% Result : Unsatisfiable 137.76s 18.24s
% Output : CNFRefutation 137.76s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
join(sk1,one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
cnf(c_50,negated_conjecture,
meet(complement(composition(sk1,top)),one) != meet(complement(sk1),one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
cnf(c_51,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).
cnf(c_52,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).
cnf(c_53,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).
cnf(c_54,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).
cnf(c_55,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).
cnf(c_56,plain,
composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).
cnf(c_57,plain,
join(composition(X0,X1),composition(X2,X1)) = composition(join(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).
cnf(c_58,plain,
converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
cnf(c_59,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
cnf(c_60,plain,
composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).
cnf(c_61,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_cancellativity_11) ).
cnf(c_62,plain,
join(X0,complement(X0)) = top,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_top_12) ).
cnf(c_63,plain,
meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_zero_13) ).
cnf(c_77,negated_conjecture,
join(one,sk1) = one,
inference(theory_normalisation,[status(thm)],[c_49,c_52,c_51]) ).
cnf(c_78,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(theory_normalisation,[status(thm)],[c_53,c_52,c_51]) ).
cnf(c_79,plain,
join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_61,c_52,c_51]) ).
cnf(c_112,plain,
join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(demodulation,[status(thm)],[c_78,c_51,c_54]) ).
cnf(c_121,plain,
join(one,sk1) = sP0_iProver_def,
definition ).
cnf(c_122,plain,
composition(sk1,top) = sP1_iProver_def,
definition ).
cnf(c_123,plain,
complement(sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_124,plain,
meet(sP2_iProver_def,one) = sP3_iProver_def,
definition ).
cnf(c_125,plain,
complement(sk1) = sP4_iProver_def,
definition ).
cnf(c_126,plain,
meet(sP4_iProver_def,one) = sP5_iProver_def,
definition ).
cnf(c_127,negated_conjecture,
sP0_iProver_def = one,
inference(demodulation,[status(thm)],[c_77,c_121]) ).
cnf(c_128,negated_conjecture,
sP3_iProver_def != sP5_iProver_def,
inference(demodulation,[status(thm)],[c_50,c_125,c_126,c_122,c_123,c_124]) ).
cnf(c_220,plain,
composition(X0,sP0_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_56,c_127]) ).
cnf(c_221,plain,
join(sP0_iProver_def,sk1) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_121,c_127]) ).
cnf(c_222,plain,
meet(sP2_iProver_def,sP0_iProver_def) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_124,c_127]) ).
cnf(c_223,plain,
meet(sP4_iProver_def,sP0_iProver_def) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_126,c_127]) ).
cnf(c_224,plain,
join(sk1,sP4_iProver_def) = top,
inference(superposition,[status(thm)],[c_125,c_62]) ).
cnf(c_225,plain,
join(sP1_iProver_def,sP2_iProver_def) = top,
inference(superposition,[status(thm)],[c_123,c_62]) ).
cnf(c_226,plain,
join(sP4_iProver_def,sk1) = top,
inference(theory_normalisation,[status(thm)],[c_224,c_52,c_51]) ).
cnf(c_227,plain,
meet(sk1,sP4_iProver_def) = zero,
inference(superposition,[status(thm)],[c_125,c_63]) ).
cnf(c_228,plain,
meet(sP1_iProver_def,sP2_iProver_def) = zero,
inference(superposition,[status(thm)],[c_123,c_63]) ).
cnf(c_229,plain,
complement(join(complement(X0),complement(X1))) = meet(X1,X0),
inference(superposition,[status(thm)],[c_51,c_54]) ).
cnf(c_231,plain,
meet(X0,complement(X0)) = complement(top),
inference(superposition,[status(thm)],[c_62,c_54]) ).
cnf(c_232,plain,
complement(join(sP4_iProver_def,complement(X0))) = meet(sk1,X0),
inference(superposition,[status(thm)],[c_125,c_54]) ).
cnf(c_234,plain,
complement(join(sP2_iProver_def,complement(X0))) = meet(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_123,c_54]) ).
cnf(c_237,plain,
complement(join(complement(X0),sP2_iProver_def)) = meet(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_123,c_54]) ).
cnf(c_242,plain,
complement(top) = zero,
inference(light_normalisation,[status(thm)],[c_231,c_63]) ).
cnf(c_243,plain,
complement(join(sP2_iProver_def,complement(X0))) = meet(X0,sP1_iProver_def),
inference(theory_normalisation,[status(thm)],[c_237,c_52,c_51]) ).
cnf(c_254,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(superposition,[status(thm)],[c_242,c_54]) ).
cnf(c_255,plain,
meet(top,zero) = zero,
inference(superposition,[status(thm)],[c_242,c_63]) ).
cnf(c_256,plain,
join(top,zero) = top,
inference(superposition,[status(thm)],[c_242,c_62]) ).
cnf(c_257,plain,
complement(join(complement(X0),zero)) = meet(X0,top),
inference(superposition,[status(thm)],[c_242,c_54]) ).
cnf(c_258,plain,
complement(join(zero,complement(X0))) = meet(X0,top),
inference(theory_normalisation,[status(thm)],[c_257,c_52,c_51]) ).
cnf(c_263,plain,
converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[status(thm)],[c_58,c_59]) ).
cnf(c_264,plain,
converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(superposition,[status(thm)],[c_58,c_59]) ).
cnf(c_269,plain,
converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(superposition,[status(thm)],[c_58,c_60]) ).
cnf(c_270,plain,
converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[status(thm)],[c_58,c_60]) ).
cnf(c_275,plain,
join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[status(thm)],[c_62,c_52]) ).
cnf(c_276,plain,
join(sP0_iProver_def,join(sk1,X0)) = join(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_221,c_52]) ).
cnf(c_277,plain,
join(sP1_iProver_def,join(sP2_iProver_def,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_225,c_52]) ).
cnf(c_278,plain,
join(sP4_iProver_def,join(sk1,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_226,c_52]) ).
cnf(c_279,plain,
join(X0,join(X1,complement(join(X0,X1)))) = top,
inference(superposition,[status(thm)],[c_52,c_62]) ).
cnf(c_287,plain,
composition(sk1,composition(top,X0)) = composition(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_122,c_55]) ).
cnf(c_289,plain,
composition(X0,composition(sP0_iProver_def,X1)) = composition(X0,X1),
inference(superposition,[status(thm)],[c_220,c_55]) ).
cnf(c_295,plain,
join(top,join(zero,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_256,c_52]) ).
cnf(c_298,plain,
complement(join(sP4_iProver_def,sP4_iProver_def)) = meet(sk1,sk1),
inference(superposition,[status(thm)],[c_125,c_232]) ).
cnf(c_301,plain,
complement(join(sP4_iProver_def,zero)) = meet(sk1,top),
inference(superposition,[status(thm)],[c_242,c_232]) ).
cnf(c_305,plain,
meet(join(sP4_iProver_def,complement(X0)),meet(sk1,X0)) = zero,
inference(superposition,[status(thm)],[c_232,c_63]) ).
cnf(c_320,plain,
join(join(sP4_iProver_def,sP4_iProver_def),meet(sk1,sk1)) = top,
inference(superposition,[status(thm)],[c_298,c_62]) ).
cnf(c_322,plain,
join(sP4_iProver_def,join(sP4_iProver_def,meet(sk1,sk1))) = top,
inference(theory_normalisation,[status(thm)],[c_320,c_52,c_51]) ).
cnf(c_325,plain,
join(sP0_iProver_def,join(X0,sk1)) = join(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_51,c_276]) ).
cnf(c_327,plain,
join(sP0_iProver_def,complement(sk1)) = join(sP0_iProver_def,top),
inference(superposition,[status(thm)],[c_62,c_276]) ).
cnf(c_329,plain,
join(sP0_iProver_def,top) = join(sP0_iProver_def,sP4_iProver_def),
inference(light_normalisation,[status(thm)],[c_327,c_125]) ).
cnf(c_332,plain,
join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[status(thm)],[c_63,c_112]) ).
cnf(c_334,plain,
join(sP5_iProver_def,complement(join(complement(sP4_iProver_def),sP0_iProver_def))) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_223,c_112]) ).
cnf(c_335,plain,
join(zero,complement(join(complement(sk1),sP4_iProver_def))) = sk1,
inference(superposition,[status(thm)],[c_227,c_112]) ).
cnf(c_336,plain,
join(zero,complement(join(complement(sP1_iProver_def),sP2_iProver_def))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_228,c_112]) ).
cnf(c_337,plain,
join(zero,complement(join(complement(top),zero))) = top,
inference(superposition,[status(thm)],[c_255,c_112]) ).
cnf(c_338,plain,
join(meet(X0,complement(X1)),meet(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_54,c_112]) ).
cnf(c_341,plain,
join(meet(X0,complement(complement(X0))),complement(top)) = X0,
inference(superposition,[status(thm)],[c_62,c_112]) ).
cnf(c_342,plain,
join(meet(sk1,X0),complement(join(sP4_iProver_def,X0))) = sk1,
inference(superposition,[status(thm)],[c_125,c_112]) ).
cnf(c_349,plain,
join(zero,complement(join(zero,complement(top)))) = top,
inference(theory_normalisation,[status(thm)],[c_337,c_52,c_51]) ).
cnf(c_350,plain,
join(zero,complement(join(zero,zero))) = top,
inference(light_normalisation,[status(thm)],[c_349,c_242]) ).
cnf(c_351,plain,
join(zero,complement(join(sP2_iProver_def,complement(sP1_iProver_def)))) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_336,c_52,c_51]) ).
cnf(c_352,plain,
join(zero,complement(join(sP2_iProver_def,sP2_iProver_def))) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_351,c_123]) ).
cnf(c_353,plain,
join(zero,complement(join(sP4_iProver_def,complement(sk1)))) = sk1,
inference(theory_normalisation,[status(thm)],[c_335,c_52,c_51]) ).
cnf(c_354,plain,
join(zero,meet(sk1,sk1)) = sk1,
inference(light_normalisation,[status(thm)],[c_353,c_125,c_298]) ).
cnf(c_355,plain,
join(sP5_iProver_def,complement(join(sP0_iProver_def,complement(sP4_iProver_def)))) = sP4_iProver_def,
inference(theory_normalisation,[status(thm)],[c_334,c_52,c_51]) ).
cnf(c_357,plain,
join(complement(top),meet(X0,complement(complement(X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_341,c_52,c_51]) ).
cnf(c_358,plain,
join(zero,meet(X0,complement(complement(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_357,c_242]) ).
cnf(c_359,plain,
join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(theory_normalisation,[status(thm)],[c_338,c_52,c_51]) ).
cnf(c_399,plain,
join(sP2_iProver_def,composition(converse(X0),complement(composition(X0,sP1_iProver_def)))) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_123,c_79]) ).
cnf(c_404,plain,
join(complement(top),composition(converse(sk1),complement(sP1_iProver_def))) = complement(top),
inference(superposition,[status(thm)],[c_122,c_79]) ).
cnf(c_407,plain,
join(complement(sP0_iProver_def),composition(converse(X0),complement(X0))) = complement(sP0_iProver_def),
inference(superposition,[status(thm)],[c_220,c_79]) ).
cnf(c_410,plain,
join(zero,composition(converse(sk1),sP2_iProver_def)) = zero,
inference(light_normalisation,[status(thm)],[c_404,c_123,c_242]) ).
cnf(c_474,plain,
complement(join(sP2_iProver_def,sP2_iProver_def)) = meet(sP1_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_123,c_234]) ).
cnf(c_475,plain,
complement(join(sP2_iProver_def,zero)) = meet(sP1_iProver_def,top),
inference(superposition,[status(thm)],[c_242,c_234]) ).
cnf(c_493,plain,
join(zero,meet(sP1_iProver_def,sP1_iProver_def)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_352,c_474]) ).
cnf(c_528,plain,
join(join(sP2_iProver_def,sP2_iProver_def),meet(sP1_iProver_def,sP1_iProver_def)) = top,
inference(superposition,[status(thm)],[c_474,c_62]) ).
cnf(c_530,plain,
join(sP2_iProver_def,join(sP2_iProver_def,meet(sP1_iProver_def,sP1_iProver_def))) = top,
inference(theory_normalisation,[status(thm)],[c_528,c_52,c_51]) ).
cnf(c_549,plain,
meet(sP2_iProver_def,sP1_iProver_def) = complement(top),
inference(superposition,[status(thm)],[c_62,c_243]) ).
cnf(c_570,plain,
complement(join(complement(X0),meet(X1,sP1_iProver_def))) = meet(X0,join(sP2_iProver_def,complement(X1))),
inference(superposition,[status(thm)],[c_243,c_54]) ).
cnf(c_571,plain,
meet(X0,sP1_iProver_def) = meet(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_243,c_234]) ).
cnf(c_572,plain,
meet(sP2_iProver_def,sP1_iProver_def) = zero,
inference(light_normalisation,[status(thm)],[c_549,c_242]) ).
cnf(c_595,plain,
join(zero,complement(join(complement(sP2_iProver_def),sP1_iProver_def))) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_572,c_112]) ).
cnf(c_596,plain,
join(zero,complement(join(sP1_iProver_def,complement(sP2_iProver_def)))) = sP2_iProver_def,
inference(theory_normalisation,[status(thm)],[c_595,c_52,c_51]) ).
cnf(c_653,plain,
join(meet(X0,sP1_iProver_def),complement(join(complement(sP1_iProver_def),X0))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_571,c_112]) ).
cnf(c_654,plain,
join(meet(X0,sP1_iProver_def),complement(join(sP2_iProver_def,X0))) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_653,c_123]) ).
cnf(c_672,plain,
complement(join(zero,zero)) = meet(top,top),
inference(superposition,[status(thm)],[c_242,c_254]) ).
cnf(c_704,plain,
join(zero,meet(top,top)) = top,
inference(demodulation,[status(thm)],[c_350,c_672]) ).
cnf(c_722,plain,
meet(zero,top) = complement(top),
inference(superposition,[status(thm)],[c_62,c_258]) ).
cnf(c_750,plain,
meet(X0,top) = meet(top,X0),
inference(superposition,[status(thm)],[c_258,c_254]) ).
cnf(c_751,plain,
meet(zero,top) = zero,
inference(light_normalisation,[status(thm)],[c_722,c_242]) ).
cnf(c_781,plain,
join(zero,complement(join(complement(zero),top))) = zero,
inference(superposition,[status(thm)],[c_751,c_112]) ).
cnf(c_782,plain,
join(zero,complement(join(top,complement(zero)))) = zero,
inference(theory_normalisation,[status(thm)],[c_781,c_52,c_51]) ).
cnf(c_831,plain,
join(sP4_iProver_def,join(X0,sk1)) = join(top,X0),
inference(superposition,[status(thm)],[c_51,c_278]) ).
cnf(c_853,plain,
join(top,complement(zero)) = join(top,top),
inference(superposition,[status(thm)],[c_62,c_295]) ).
cnf(c_857,plain,
join(top,meet(top,top)) = join(top,top),
inference(superposition,[status(thm)],[c_704,c_295]) ).
cnf(c_882,plain,
complement(join(zero,meet(top,top))) = meet(join(zero,zero),top),
inference(superposition,[status(thm)],[c_672,c_258]) ).
cnf(c_898,plain,
meet(join(zero,zero),top) = zero,
inference(light_normalisation,[status(thm)],[c_882,c_242,c_704]) ).
cnf(c_922,plain,
join(zero,complement(join(complement(join(zero,zero)),top))) = join(zero,zero),
inference(superposition,[status(thm)],[c_898,c_112]) ).
cnf(c_924,plain,
join(zero,complement(join(top,complement(join(zero,zero))))) = join(zero,zero),
inference(theory_normalisation,[status(thm)],[c_922,c_52,c_51]) ).
cnf(c_925,plain,
join(zero,complement(join(top,top))) = join(zero,zero),
inference(light_normalisation,[status(thm)],[c_924,c_672,c_857]) ).
cnf(c_1028,plain,
join(zero,zero) = zero,
inference(light_normalisation,[status(thm)],[c_782,c_853,c_925]) ).
cnf(c_1033,plain,
join(zero,join(zero,X0)) = join(zero,X0),
inference(superposition,[status(thm)],[c_1028,c_52]) ).
cnf(c_1089,plain,
join(zero,X0) = X0,
inference(superposition,[status(thm)],[c_358,c_1033]) ).
cnf(c_1106,plain,
complement(complement(X0)) = meet(top,X0),
inference(demodulation,[status(thm)],[c_254,c_1089]) ).
cnf(c_1108,plain,
meet(sk1,sk1) = sk1,
inference(demodulation,[status(thm)],[c_354,c_1089]) ).
cnf(c_1111,plain,
composition(converse(sk1),sP2_iProver_def) = zero,
inference(demodulation,[status(thm)],[c_410,c_1089]) ).
cnf(c_1112,plain,
meet(sP1_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_493,c_1089]) ).
cnf(c_1114,plain,
complement(join(sP1_iProver_def,complement(sP2_iProver_def))) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_596,c_1089]) ).
cnf(c_1120,plain,
join(sP2_iProver_def,join(sP2_iProver_def,sP1_iProver_def)) = top,
inference(demodulation,[status(thm)],[c_530,c_1112]) ).
cnf(c_1122,plain,
complement(join(sP2_iProver_def,sP2_iProver_def)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_474,c_1112]) ).
cnf(c_1123,plain,
join(sP1_iProver_def,join(sP2_iProver_def,sP2_iProver_def)) = top,
inference(theory_normalisation,[status(thm)],[c_1120,c_52,c_51]) ).
cnf(c_1126,plain,
join(sP4_iProver_def,join(sP4_iProver_def,sk1)) = top,
inference(demodulation,[status(thm)],[c_322,c_1108]) ).
cnf(c_1129,plain,
join(sP4_iProver_def,top) = top,
inference(light_normalisation,[status(thm)],[c_1126,c_226]) ).
cnf(c_1130,plain,
complement(complement(X0)) = meet(X0,top),
inference(demodulation,[status(thm)],[c_750,c_1106]) ).
cnf(c_1137,plain,
complement(join(sP4_iProver_def,zero)) = complement(complement(sk1)),
inference(demodulation,[status(thm)],[c_301,c_1130]) ).
cnf(c_1139,plain,
complement(join(sP2_iProver_def,zero)) = complement(complement(sP1_iProver_def)),
inference(demodulation,[status(thm)],[c_475,c_1130]) ).
cnf(c_1142,plain,
complement(join(sP2_iProver_def,zero)) = complement(sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_1139,c_123]) ).
cnf(c_1144,plain,
complement(join(sP4_iProver_def,zero)) = complement(sP4_iProver_def),
inference(light_normalisation,[status(thm)],[c_1137,c_125]) ).
cnf(c_1187,plain,
meet(X0,X1) = meet(X1,X0),
inference(superposition,[status(thm)],[c_229,c_54]) ).
cnf(c_1188,plain,
join(meet(X0,complement(X1)),meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_229,c_112]) ).
cnf(c_1194,plain,
join(meet(X0,X1),meet(X1,complement(X0))) = X1,
inference(theory_normalisation,[status(thm)],[c_1188,c_52,c_51]) ).
cnf(c_1199,plain,
meet(sP0_iProver_def,sP2_iProver_def) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_222,c_1187]) ).
cnf(c_1200,plain,
meet(sP0_iProver_def,sP4_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_223,c_1187]) ).
cnf(c_1217,plain,
join(sP3_iProver_def,complement(join(complement(sP0_iProver_def),sP2_iProver_def))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_1199,c_112]) ).
cnf(c_1218,plain,
join(sP3_iProver_def,complement(join(sP2_iProver_def,complement(sP0_iProver_def)))) = sP0_iProver_def,
inference(theory_normalisation,[status(thm)],[c_1217,c_52,c_51]) ).
cnf(c_1219,plain,
join(sP5_iProver_def,complement(join(complement(sP0_iProver_def),sP4_iProver_def))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_1200,c_112]) ).
cnf(c_1220,plain,
join(sP5_iProver_def,complement(join(sP4_iProver_def,complement(sP0_iProver_def)))) = sP0_iProver_def,
inference(theory_normalisation,[status(thm)],[c_1219,c_52,c_51]) ).
cnf(c_1225,plain,
join(X0,zero) = X0,
inference(superposition,[status(thm)],[c_1089,c_51]) ).
cnf(c_1227,plain,
complement(zero) = top,
inference(superposition,[status(thm)],[c_1089,c_62]) ).
cnf(c_1245,plain,
complement(join(sP4_iProver_def,top)) = meet(sk1,zero),
inference(superposition,[status(thm)],[c_1227,c_232]) ).
cnf(c_1250,plain,
complement(join(complement(X0),top)) = meet(X0,zero),
inference(superposition,[status(thm)],[c_1227,c_54]) ).
cnf(c_1251,plain,
meet(sk1,zero) = zero,
inference(light_normalisation,[status(thm)],[c_1245,c_242,c_1129]) ).
cnf(c_1253,plain,
complement(join(top,complement(X0))) = meet(X0,zero),
inference(theory_normalisation,[status(thm)],[c_1250,c_52,c_51]) ).
cnf(c_1274,plain,
join(meet(X0,zero),complement(complement(X0))) = X0,
inference(superposition,[status(thm)],[c_1225,c_112]) ).
cnf(c_1278,plain,
join(complement(complement(X0)),meet(X0,zero)) = X0,
inference(theory_normalisation,[status(thm)],[c_1274,c_52,c_51]) ).
cnf(c_1282,plain,
join(sP4_iProver_def,join(top,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_1129,c_52]) ).
cnf(c_1285,plain,
join(zero,complement(join(complement(sk1),zero))) = sk1,
inference(superposition,[status(thm)],[c_1251,c_112]) ).
cnf(c_1286,plain,
join(zero,complement(sP4_iProver_def)) = sk1,
inference(light_normalisation,[status(thm)],[c_1285,c_125,c_1144]) ).
cnf(c_1305,plain,
join(sP3_iProver_def,meet(sP0_iProver_def,sP1_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_243,c_1218]) ).
cnf(c_1347,plain,
complement(join(top,meet(X0,zero))) = meet(join(top,complement(X0)),zero),
inference(superposition,[status(thm)],[c_1253,c_1253]) ).
cnf(c_1447,plain,
complement(sP4_iProver_def) = sk1,
inference(superposition,[status(thm)],[c_1286,c_1089]) ).
cnf(c_1450,plain,
join(sP5_iProver_def,complement(join(sP0_iProver_def,sk1))) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_355,c_1447]) ).
cnf(c_1451,plain,
join(sP5_iProver_def,complement(sP0_iProver_def)) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_1450,c_221]) ).
cnf(c_1467,plain,
complement(join(complement(X0),sk1)) = meet(X0,sP4_iProver_def),
inference(superposition,[status(thm)],[c_1447,c_54]) ).
cnf(c_1472,plain,
complement(join(sk1,complement(X0))) = meet(X0,sP4_iProver_def),
inference(theory_normalisation,[status(thm)],[c_1467,c_52,c_51]) ).
cnf(c_1478,plain,
join(sP5_iProver_def,join(complement(sP0_iProver_def),X0)) = join(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_1451,c_52]) ).
cnf(c_1538,plain,
join(top,sk1) = join(top,top),
inference(superposition,[status(thm)],[c_1282,c_831]) ).
cnf(c_1539,plain,
join(sk1,top) = join(top,top),
inference(theory_normalisation,[status(thm)],[c_1538,c_52,c_51]) ).
cnf(c_1637,plain,
complement(join(sk1,zero)) = meet(top,sP4_iProver_def),
inference(superposition,[status(thm)],[c_242,c_1472]) ).
cnf(c_1749,plain,
join(sP5_iProver_def,join(X0,complement(sP0_iProver_def))) = join(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_51,c_1478]) ).
cnf(c_1753,plain,
join(sP4_iProver_def,composition(converse(X0),complement(X0))) = join(sP5_iProver_def,complement(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_407,c_1478]) ).
cnf(c_1769,plain,
join(sP4_iProver_def,composition(converse(X0),complement(X0))) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_1753,c_1451]) ).
cnf(c_1797,plain,
converse(join(X0,converse(X1))) = join(X1,converse(X0)),
inference(superposition,[status(thm)],[c_51,c_263]) ).
cnf(c_1800,plain,
join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[status(thm)],[c_62,c_263]) ).
cnf(c_1801,plain,
join(X0,converse(zero)) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_1225,c_263]) ).
cnf(c_1813,plain,
join(X0,converse(zero)) = X0,
inference(light_normalisation,[status(thm)],[c_1801,c_58]) ).
cnf(c_1845,plain,
converse(zero) = zero,
inference(superposition,[status(thm)],[c_1813,c_1089]) ).
cnf(c_1864,plain,
composition(zero,converse(X0)) = converse(composition(X0,zero)),
inference(superposition,[status(thm)],[c_1845,c_60]) ).
cnf(c_2005,plain,
meet(join(sP1_iProver_def,complement(sP2_iProver_def)),sP2_iProver_def) = zero,
inference(superposition,[status(thm)],[c_1114,c_63]) ).
cnf(c_2006,plain,
join(join(sP1_iProver_def,complement(sP2_iProver_def)),sP2_iProver_def) = top,
inference(superposition,[status(thm)],[c_1114,c_62]) ).
cnf(c_2009,plain,
join(sP1_iProver_def,join(sP2_iProver_def,complement(sP2_iProver_def))) = top,
inference(theory_normalisation,[status(thm)],[c_2006,c_52,c_51]) ).
cnf(c_2037,plain,
join(zero,complement(join(complement(join(sP1_iProver_def,complement(sP2_iProver_def))),sP2_iProver_def))) = join(sP1_iProver_def,complement(sP2_iProver_def)),
inference(superposition,[status(thm)],[c_2005,c_112]) ).
cnf(c_2039,plain,
join(zero,complement(join(sP2_iProver_def,complement(join(sP1_iProver_def,complement(sP2_iProver_def)))))) = join(sP1_iProver_def,complement(sP2_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_2037,c_52,c_51]) ).
cnf(c_2040,plain,
join(sP1_iProver_def,complement(sP2_iProver_def)) = join(zero,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_2039,c_1114,c_1122]) ).
cnf(c_2041,plain,
join(sP1_iProver_def,complement(sP2_iProver_def)) = join(sP1_iProver_def,zero),
inference(theory_normalisation,[status(thm)],[c_2040,c_52,c_51]) ).
cnf(c_2043,plain,
complement(join(sP1_iProver_def,zero)) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_1114,c_2041]) ).
cnf(c_2045,plain,
join(sP1_iProver_def,top) = top,
inference(superposition,[status(thm)],[c_62,c_2009]) ).
cnf(c_2071,plain,
complement(join(complement(X0),sP2_iProver_def)) = meet(X0,join(sP1_iProver_def,zero)),
inference(superposition,[status(thm)],[c_2043,c_54]) ).
cnf(c_2083,plain,
complement(join(sP2_iProver_def,complement(X0))) = meet(X0,join(sP1_iProver_def,zero)),
inference(theory_normalisation,[status(thm)],[c_2071,c_52,c_51]) ).
cnf(c_2084,plain,
meet(X0,join(sP1_iProver_def,zero)) = meet(sP1_iProver_def,X0),
inference(light_normalisation,[status(thm)],[c_2083,c_234]) ).
cnf(c_2134,plain,
join(top,sP2_iProver_def) = top,
inference(superposition,[status(thm)],[c_1123,c_277]) ).
cnf(c_2136,plain,
join(sP2_iProver_def,top) = top,
inference(theory_normalisation,[status(thm)],[c_2134,c_52,c_51]) ).
cnf(c_2141,plain,
join(top,top) = join(sP1_iProver_def,top),
inference(superposition,[status(thm)],[c_2136,c_277]) ).
cnf(c_2143,plain,
join(top,top) = top,
inference(light_normalisation,[status(thm)],[c_2141,c_1539,c_2045]) ).
cnf(c_2145,plain,
join(top,join(top,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_2143,c_52]) ).
cnf(c_2185,plain,
complement(complement(join(sP1_iProver_def,zero))) = meet(sP1_iProver_def,top),
inference(superposition,[status(thm)],[c_2084,c_1106]) ).
cnf(c_2186,plain,
meet(sP1_iProver_def,top) = complement(sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_2185,c_2043]) ).
cnf(c_2190,plain,
join(complement(sP2_iProver_def),complement(join(complement(sP1_iProver_def),top))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2186,c_112]) ).
cnf(c_2191,plain,
join(complement(sP2_iProver_def),zero) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_2190,c_123,c_242,c_2136]) ).
cnf(c_2192,plain,
join(zero,complement(sP2_iProver_def)) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_2191,c_52,c_51]) ).
cnf(c_2195,plain,
complement(sP2_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2192,c_1089]) ).
cnf(c_2218,plain,
join(sP1_iProver_def,composition(converse(X0),complement(composition(X0,sP2_iProver_def)))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2195,c_79]) ).
cnf(c_2225,plain,
complement(join(complement(X0),sP1_iProver_def)) = meet(X0,sP2_iProver_def),
inference(superposition,[status(thm)],[c_2195,c_54]) ).
cnf(c_2238,plain,
complement(join(sP1_iProver_def,complement(X0))) = meet(X0,sP2_iProver_def),
inference(theory_normalisation,[status(thm)],[c_2225,c_52,c_51]) ).
cnf(c_2270,plain,
join(top,converse(top)) = converse(top),
inference(superposition,[status(thm)],[c_1800,c_2145]) ).
cnf(c_2643,plain,
complement(join(sP2_iProver_def,zero)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_1142,c_2195]) ).
cnf(c_2662,plain,
complement(join(complement(X0),sP1_iProver_def)) = meet(join(sP2_iProver_def,zero),X0),
inference(superposition,[status(thm)],[c_2643,c_229]) ).
cnf(c_2681,plain,
complement(join(sP1_iProver_def,complement(X0))) = meet(join(sP2_iProver_def,zero),X0),
inference(theory_normalisation,[status(thm)],[c_2662,c_52,c_51]) ).
cnf(c_2682,plain,
meet(join(sP2_iProver_def,zero),X0) = meet(X0,sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_2681,c_2238]) ).
cnf(c_2690,plain,
join(sP3_iProver_def,join(meet(sP0_iProver_def,sP1_iProver_def),X0)) = join(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_1305,c_52]) ).
cnf(c_2714,plain,
composition(converse(sP0_iProver_def),X0) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_220,c_270]) ).
cnf(c_2716,plain,
composition(converse(sP2_iProver_def),sk1) = converse(zero),
inference(superposition,[status(thm)],[c_1111,c_270]) ).
cnf(c_2743,plain,
composition(converse(sP2_iProver_def),sk1) = zero,
inference(light_normalisation,[status(thm)],[c_2716,c_1845]) ).
cnf(c_2744,plain,
composition(converse(sP0_iProver_def),X0) = X0,
inference(light_normalisation,[status(thm)],[c_2714,c_58]) ).
cnf(c_2771,plain,
join(complement(X0),complement(composition(sP0_iProver_def,X0))) = complement(X0),
inference(superposition,[status(thm)],[c_2744,c_79]) ).
cnf(c_2772,plain,
converse(sP0_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_2744,c_220]) ).
cnf(c_2775,plain,
composition(converse(sP0_iProver_def),X0) = composition(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_2744,c_289]) ).
cnf(c_2776,plain,
join(sP4_iProver_def,complement(sP0_iProver_def)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_2744,c_1769]) ).
cnf(c_2777,plain,
join(complement(sP0_iProver_def),complement(sP0_iProver_def)) = complement(sP0_iProver_def),
inference(superposition,[status(thm)],[c_2744,c_407]) ).
cnf(c_2782,plain,
composition(sP0_iProver_def,X0) = X0,
inference(light_normalisation,[status(thm)],[c_2775,c_2744]) ).
cnf(c_2787,plain,
join(sP5_iProver_def,complement(sP4_iProver_def)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_1220,c_2776]) ).
cnf(c_2788,plain,
join(sP5_iProver_def,sk1) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_2787,c_1447]) ).
cnf(c_2827,plain,
join(converse(X0),sP0_iProver_def) = converse(join(X0,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_2772,c_59]) ).
cnf(c_2828,plain,
join(sP0_iProver_def,converse(X0)) = converse(join(X0,sP0_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_2827,c_52,c_51]) ).
cnf(c_2837,plain,
join(X0,composition(X1,X0)) = composition(join(sP0_iProver_def,X1),X0),
inference(superposition,[status(thm)],[c_2782,c_57]) ).
cnf(c_2839,plain,
join(composition(X0,X1),X1) = composition(join(X0,sP0_iProver_def),X1),
inference(superposition,[status(thm)],[c_2782,c_57]) ).
cnf(c_2850,plain,
join(X0,composition(X1,X0)) = composition(join(X1,sP0_iProver_def),X0),
inference(theory_normalisation,[status(thm)],[c_2839,c_52,c_51]) ).
cnf(c_2853,plain,
join(sP5_iProver_def,join(sk1,X0)) = join(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_2788,c_52]) ).
cnf(c_2855,plain,
join(sP0_iProver_def,sP0_iProver_def) = join(sP0_iProver_def,sP5_iProver_def),
inference(superposition,[status(thm)],[c_2788,c_325]) ).
cnf(c_2860,plain,
composition(converse(sP2_iProver_def),composition(sk1,X0)) = composition(zero,X0),
inference(superposition,[status(thm)],[c_2743,c_55]) ).
cnf(c_2862,plain,
join(complement(sk1),composition(converse(converse(sP2_iProver_def)),complement(zero))) = complement(sk1),
inference(superposition,[status(thm)],[c_2743,c_79]) ).
cnf(c_2865,plain,
join(sP4_iProver_def,composition(converse(converse(sP2_iProver_def)),top)) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_2862,c_125,c_1227]) ).
cnf(c_2947,plain,
converse(join(sP0_iProver_def,converse(X0))) = join(X0,sP0_iProver_def),
inference(superposition,[status(thm)],[c_2828,c_58]) ).
cnf(c_2976,plain,
meet(sk1,sP0_iProver_def) = complement(sP4_iProver_def),
inference(superposition,[status(thm)],[c_2776,c_232]) ).
cnf(c_2978,plain,
meet(sk1,sP0_iProver_def) = sk1,
inference(light_normalisation,[status(thm)],[c_2976,c_1447]) ).
cnf(c_2984,plain,
join(sk1,complement(join(complement(sk1),sP0_iProver_def))) = sk1,
inference(superposition,[status(thm)],[c_2978,c_112]) ).
cnf(c_2986,plain,
join(sk1,complement(join(sP0_iProver_def,complement(sk1)))) = sk1,
inference(theory_normalisation,[status(thm)],[c_2984,c_52,c_51]) ).
cnf(c_2987,plain,
join(sk1,complement(join(sP0_iProver_def,sP4_iProver_def))) = sk1,
inference(light_normalisation,[status(thm)],[c_2986,c_125]) ).
cnf(c_2999,plain,
join(top,complement(join(sP0_iProver_def,sP4_iProver_def))) = join(sP4_iProver_def,sk1),
inference(superposition,[status(thm)],[c_2987,c_278]) ).
cnf(c_3001,plain,
meet(join(sP0_iProver_def,sP4_iProver_def),sP4_iProver_def) = complement(sk1),
inference(superposition,[status(thm)],[c_2987,c_1472]) ).
cnf(c_3002,plain,
meet(join(sP0_iProver_def,sP4_iProver_def),sP4_iProver_def) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_3001,c_125]) ).
cnf(c_3004,plain,
join(top,complement(join(sP0_iProver_def,sP4_iProver_def))) = top,
inference(light_normalisation,[status(thm)],[c_2999,c_226]) ).
cnf(c_3006,plain,
join(sP5_iProver_def,join(X0,sk1)) = join(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_51,c_2853]) ).
cnf(c_3021,plain,
join(sP4_iProver_def,composition(sP2_iProver_def,top)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_58,c_2865]) ).
cnf(c_3025,plain,
join(sP4_iProver_def,join(composition(sP2_iProver_def,top),X0)) = join(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_3021,c_52]) ).
cnf(c_3057,plain,
join(complement(converse(sP0_iProver_def)),sP0_iProver_def) = converse(converse(top)),
inference(superposition,[status(thm)],[c_1800,c_2947]) ).
cnf(c_3098,plain,
join(sP0_iProver_def,complement(converse(sP0_iProver_def))) = converse(converse(top)),
inference(theory_normalisation,[status(thm)],[c_3057,c_52,c_51]) ).
cnf(c_3099,plain,
join(sP0_iProver_def,complement(sP0_iProver_def)) = converse(converse(top)),
inference(light_normalisation,[status(thm)],[c_3098,c_2772]) ).
cnf(c_3232,plain,
join(X0,join(X1,complement(X0))) = join(top,X1),
inference(superposition,[status(thm)],[c_51,c_275]) ).
cnf(c_3247,plain,
join(top,complement(sP0_iProver_def)) = join(sP0_iProver_def,complement(sP0_iProver_def)),
inference(superposition,[status(thm)],[c_2777,c_275]) ).
cnf(c_3352,plain,
join(top,complement(sP0_iProver_def)) = converse(converse(top)),
inference(light_normalisation,[status(thm)],[c_3247,c_3099]) ).
cnf(c_3523,plain,
join(sP0_iProver_def,join(top,complement(join(sP0_iProver_def,sP4_iProver_def)))) = top,
inference(superposition,[status(thm)],[c_329,c_279]) ).
cnf(c_3668,plain,
join(sP0_iProver_def,sP4_iProver_def) = top,
inference(light_normalisation,[status(thm)],[c_3523,c_329,c_3004]) ).
cnf(c_3753,plain,
join(sP0_iProver_def,top) = top,
inference(demodulation,[status(thm)],[c_329,c_3668]) ).
cnf(c_3811,plain,
meet(top,meet(sk1,sP4_iProver_def)) = zero,
inference(superposition,[status(thm)],[c_62,c_305]) ).
cnf(c_3876,plain,
join(sP0_iProver_def,join(sP4_iProver_def,X0)) = join(top,X0),
inference(superposition,[status(thm)],[c_3668,c_52]) ).
cnf(c_3926,plain,
complement(complement(meet(sk1,sP4_iProver_def))) = zero,
inference(superposition,[status(thm)],[c_3811,c_1106]) ).
cnf(c_3942,plain,
join(top,complement(sP0_iProver_def)) = join(sP0_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_2776,c_3876]) ).
cnf(c_3973,plain,
join(top,complement(sP0_iProver_def)) = top,
inference(light_normalisation,[status(thm)],[c_3942,c_3352,c_3668]) ).
cnf(c_4080,plain,
meet(sP0_iProver_def,zero) = complement(top),
inference(superposition,[status(thm)],[c_3973,c_1253]) ).
cnf(c_4081,plain,
meet(sP0_iProver_def,zero) = zero,
inference(light_normalisation,[status(thm)],[c_4080,c_242]) ).
cnf(c_4085,plain,
join(zero,complement(join(complement(sP0_iProver_def),zero))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_4081,c_112]) ).
cnf(c_4086,plain,
join(complement(complement(sP0_iProver_def)),zero) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_4081,c_1278]) ).
cnf(c_4087,plain,
join(zero,complement(complement(sP0_iProver_def))) = sP0_iProver_def,
inference(theory_normalisation,[status(thm)],[c_4086,c_52,c_51]) ).
cnf(c_4088,plain,
join(zero,complement(join(zero,complement(sP0_iProver_def)))) = sP0_iProver_def,
inference(theory_normalisation,[status(thm)],[c_4085,c_52,c_51]) ).
cnf(c_4108,plain,
complement(join(zero,complement(sP0_iProver_def))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_4088,c_1089]) ).
cnf(c_4194,plain,
join(zero,meet(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_229,c_332]) ).
cnf(c_4275,plain,
join(meet(sk1,X0),complement(join(X0,sP4_iProver_def))) = sk1,
inference(superposition,[status(thm)],[c_51,c_342]) ).
cnf(c_5097,plain,
join(converse(top),top) = converse(converse(top)),
inference(superposition,[status(thm)],[c_2270,c_264]) ).
cnf(c_5103,plain,
join(top,converse(top)) = converse(converse(top)),
inference(theory_normalisation,[status(thm)],[c_5097,c_52,c_51]) ).
cnf(c_5104,plain,
converse(converse(top)) = converse(top),
inference(light_normalisation,[status(thm)],[c_5103,c_2270]) ).
cnf(c_5118,plain,
converse(top) = top,
inference(superposition,[status(thm)],[c_5104,c_58]) ).
cnf(c_5164,plain,
composition(top,converse(X0)) = converse(composition(X0,top)),
inference(superposition,[status(thm)],[c_5118,c_269]) ).
cnf(c_5724,plain,
join(meet(top,sP1_iProver_def),complement(top)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2136,c_654]) ).
cnf(c_5733,plain,
join(complement(top),meet(top,sP1_iProver_def)) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_5724,c_52,c_51]) ).
cnf(c_5734,plain,
join(zero,meet(top,sP1_iProver_def)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_5733,c_242]) ).
cnf(c_5948,plain,
meet(top,sP4_iProver_def) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_3002,c_3668]) ).
cnf(c_5954,plain,
join(sP4_iProver_def,complement(join(complement(top),sP4_iProver_def))) = top,
inference(superposition,[status(thm)],[c_5948,c_112]) ).
cnf(c_5959,plain,
join(sP4_iProver_def,complement(join(sP4_iProver_def,complement(top)))) = top,
inference(theory_normalisation,[status(thm)],[c_5954,c_52,c_51]) ).
cnf(c_5960,plain,
join(sP4_iProver_def,complement(join(sP4_iProver_def,zero))) = top,
inference(light_normalisation,[status(thm)],[c_5959,c_242]) ).
cnf(c_6528,plain,
meet(complement(meet(sk1,sP4_iProver_def)),zero) = zero,
inference(superposition,[status(thm)],[c_3926,c_63]) ).
cnf(c_6599,plain,
join(complement(complement(complement(meet(sk1,sP4_iProver_def)))),zero) = complement(meet(sk1,sP4_iProver_def)),
inference(superposition,[status(thm)],[c_6528,c_1278]) ).
cnf(c_6602,plain,
join(zero,complement(complement(complement(meet(sk1,sP4_iProver_def))))) = complement(meet(sk1,sP4_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_6599,c_52,c_51]) ).
cnf(c_6603,plain,
complement(meet(sk1,sP4_iProver_def)) = join(zero,top),
inference(light_normalisation,[status(thm)],[c_6602,c_1227,c_3926]) ).
cnf(c_6604,plain,
complement(meet(sk1,sP4_iProver_def)) = join(top,zero),
inference(theory_normalisation,[status(thm)],[c_6603,c_52,c_51]) ).
cnf(c_6609,plain,
complement(join(top,zero)) = zero,
inference(demodulation,[status(thm)],[c_3926,c_6604]) ).
cnf(c_6807,plain,
meet(join(top,zero),sP4_iProver_def) = complement(join(sk1,zero)),
inference(superposition,[status(thm)],[c_6609,c_1472]) ).
cnf(c_6831,plain,
meet(join(top,zero),sP4_iProver_def) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_6807,c_1637,c_5948]) ).
cnf(c_6877,plain,
complement(complement(sP0_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_4087,c_1089]) ).
cnf(c_7022,plain,
join(complement(sP0_iProver_def),composition(converse(complement(sP0_iProver_def)),sP0_iProver_def)) = complement(sP0_iProver_def),
inference(superposition,[status(thm)],[c_6877,c_407]) ).
cnf(c_7420,plain,
join(top,complement(sP0_iProver_def)) = join(sP4_iProver_def,complement(sP5_iProver_def)),
inference(superposition,[status(thm)],[c_1749,c_275]) ).
cnf(c_7428,plain,
join(sP4_iProver_def,complement(sP5_iProver_def)) = top,
inference(light_normalisation,[status(thm)],[c_7420,c_3973]) ).
cnf(c_7766,plain,
join(top,complement(sP5_iProver_def)) = join(sP0_iProver_def,top),
inference(superposition,[status(thm)],[c_7428,c_3876]) ).
cnf(c_7770,plain,
join(top,complement(sP5_iProver_def)) = top,
inference(light_normalisation,[status(thm)],[c_7766,c_3753]) ).
cnf(c_7853,plain,
meet(sP5_iProver_def,zero) = complement(top),
inference(superposition,[status(thm)],[c_7770,c_1253]) ).
cnf(c_7854,plain,
meet(sP5_iProver_def,zero) = zero,
inference(light_normalisation,[status(thm)],[c_7853,c_242]) ).
cnf(c_7863,plain,
join(zero,complement(join(complement(sP5_iProver_def),zero))) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_7854,c_112]) ).
cnf(c_7871,plain,
join(zero,complement(join(zero,complement(sP5_iProver_def)))) = sP5_iProver_def,
inference(theory_normalisation,[status(thm)],[c_7863,c_52,c_51]) ).
cnf(c_8013,plain,
complement(join(zero,complement(sP5_iProver_def))) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_7871,c_1089]) ).
cnf(c_8093,plain,
meet(X0,X0) = X0,
inference(superposition,[status(thm)],[c_4194,c_1089]) ).
cnf(c_8549,plain,
join(complement(X0),complement(X0)) = complement(X0),
inference(light_normalisation,[status(thm)],[c_2771,c_2782]) ).
cnf(c_8591,plain,
join(sP0_iProver_def,sP0_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_4108,c_8549]) ).
cnf(c_8594,plain,
meet(X0,X0) = complement(complement(X0)),
inference(superposition,[status(thm)],[c_8549,c_229]) ).
cnf(c_8596,plain,
join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[status(thm)],[c_8549,c_275]) ).
cnf(c_8600,plain,
complement(complement(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_8594,c_8093]) ).
cnf(c_8601,plain,
join(top,complement(X0)) = top,
inference(light_normalisation,[status(thm)],[c_8596,c_62]) ).
cnf(c_8606,plain,
join(sP0_iProver_def,sP5_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_2855,c_8591]) ).
cnf(c_8626,plain,
meet(X0,zero) = complement(top),
inference(demodulation,[status(thm)],[c_1253,c_8601]) ).
cnf(c_8629,plain,
meet(X0,zero) = zero,
inference(light_normalisation,[status(thm)],[c_8626,c_242]) ).
cnf(c_8653,plain,
composition(converse(sP2_iProver_def),sP1_iProver_def) = composition(zero,top),
inference(superposition,[status(thm)],[c_122,c_2860]) ).
cnf(c_8698,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(superposition,[status(thm)],[c_54,c_8600]) ).
cnf(c_8709,plain,
join(sP1_iProver_def,complement(X0)) = complement(meet(X0,sP2_iProver_def)),
inference(superposition,[status(thm)],[c_2238,c_8600]) ).
cnf(c_8715,plain,
join(X0,X0) = X0,
inference(superposition,[status(thm)],[c_8600,c_8549]) ).
cnf(c_8739,plain,
join(meet(complement(X0),X1),complement(join(X0,X1))) = complement(X0),
inference(superposition,[status(thm)],[c_8600,c_112]) ).
cnf(c_8741,plain,
complement(join(X0,complement(X1))) = meet(complement(X0),X1),
inference(superposition,[status(thm)],[c_8600,c_54]) ).
cnf(c_8746,plain,
complement(join(complement(X0),X1)) = meet(X0,complement(X1)),
inference(superposition,[status(thm)],[c_8600,c_54]) ).
cnf(c_8753,plain,
join(complement(join(X0,X1)),meet(complement(X0),X1)) = complement(X0),
inference(theory_normalisation,[status(thm)],[c_8739,c_52,c_51]) ).
cnf(c_9072,plain,
join(X0,join(X0,complement(X0))) = top,
inference(superposition,[status(thm)],[c_8715,c_279]) ).
cnf(c_9073,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_8715,c_52]) ).
cnf(c_9137,plain,
join(X0,top) = top,
inference(light_normalisation,[status(thm)],[c_9072,c_62]) ).
cnf(c_9300,plain,
join(meet(X0,X1),X0) = X0,
inference(superposition,[status(thm)],[c_359,c_9073]) ).
cnf(c_9312,plain,
join(meet(X0,X1),X1) = X1,
inference(superposition,[status(thm)],[c_1194,c_9073]) ).
cnf(c_9391,plain,
join(X0,meet(X1,X0)) = X0,
inference(theory_normalisation,[status(thm)],[c_9312,c_52,c_51]) ).
cnf(c_9394,plain,
join(X0,meet(X0,X1)) = X0,
inference(theory_normalisation,[status(thm)],[c_9300,c_52,c_51]) ).
cnf(c_9478,plain,
join(top,X0) = top,
inference(superposition,[status(thm)],[c_9137,c_51]) ).
cnf(c_10044,plain,
join(join(sP4_iProver_def,zero),top) = join(top,sP4_iProver_def),
inference(superposition,[status(thm)],[c_5960,c_3232]) ).
cnf(c_10140,plain,
join(sP4_iProver_def,join(top,zero)) = join(sP4_iProver_def,top),
inference(theory_normalisation,[status(thm)],[c_10044,c_52,c_51]) ).
cnf(c_11274,plain,
complement(meet(complement(X0),X1)) = join(X0,complement(X1)),
inference(superposition,[status(thm)],[c_8600,c_8698]) ).
cnf(c_11302,plain,
join(X0,complement(meet(X1,X0))) = join(top,complement(X1)),
inference(superposition,[status(thm)],[c_8698,c_3232]) ).
cnf(c_11364,plain,
meet(complement(sP5_iProver_def),sP0_iProver_def) = complement(sP4_iProver_def),
inference(superposition,[status(thm)],[c_1451,c_8741]) ).
cnf(c_11425,plain,
meet(complement(sP5_iProver_def),sP0_iProver_def) = sk1,
inference(light_normalisation,[status(thm)],[c_11364,c_1447]) ).
cnf(c_11696,plain,
meet(join(complement(X0),X1),meet(X0,complement(X1))) = zero,
inference(superposition,[status(thm)],[c_8746,c_63]) ).
cnf(c_12624,plain,
join(complement(sP0_iProver_def),converse(complement(sP0_iProver_def))) = complement(sP0_iProver_def),
inference(superposition,[status(thm)],[c_220,c_7022]) ).
cnf(c_12640,plain,
converse(complement(sP0_iProver_def)) = complement(sP0_iProver_def),
inference(superposition,[status(thm)],[c_12624,c_1797]) ).
cnf(c_12880,plain,
join(converse(X0),complement(sP0_iProver_def)) = converse(join(X0,complement(sP0_iProver_def))),
inference(superposition,[status(thm)],[c_12640,c_59]) ).
cnf(c_12881,plain,
join(complement(sP0_iProver_def),converse(X0)) = converse(join(X0,complement(sP0_iProver_def))),
inference(theory_normalisation,[status(thm)],[c_12880,c_52,c_51]) ).
cnf(c_14833,plain,
join(sP2_iProver_def,composition(X0,complement(composition(converse(X0),sP1_iProver_def)))) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_58,c_399]) ).
cnf(c_15237,plain,
join(X0,join(meet(X1,X0),X2)) = join(X0,X2),
inference(superposition,[status(thm)],[c_9391,c_52]) ).
cnf(c_15400,plain,
join(join(top,zero),sP4_iProver_def) = join(top,zero),
inference(superposition,[status(thm)],[c_6831,c_9394]) ).
cnf(c_15431,plain,
meet(X0,complement(meet(complement(X0),X1))) = complement(complement(X0)),
inference(superposition,[status(thm)],[c_9394,c_8746]) ).
cnf(c_15479,plain,
join(sP4_iProver_def,join(top,zero)) = join(top,zero),
inference(theory_normalisation,[status(thm)],[c_15400,c_52,c_51]) ).
cnf(c_15480,plain,
join(top,zero) = join(sP4_iProver_def,top),
inference(light_normalisation,[status(thm)],[c_15479,c_10140]) ).
cnf(c_15515,plain,
meet(X0,join(X0,complement(X1))) = X0,
inference(light_normalisation,[status(thm)],[c_15431,c_8600,c_11274]) ).
cnf(c_16253,plain,
join(sP1_iProver_def,composition(converse(sP0_iProver_def),complement(sP2_iProver_def))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2782,c_2218]) ).
cnf(c_16260,plain,
join(sP1_iProver_def,composition(sP0_iProver_def,sP1_iProver_def)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_16253,c_2195,c_2772]) ).
cnf(c_16326,plain,
join(sP3_iProver_def,join(X0,meet(sP0_iProver_def,sP1_iProver_def))) = join(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_51,c_2690]) ).
cnf(c_16461,plain,
join(X0,composition(complement(sP0_iProver_def),X0)) = composition(top,X0),
inference(superposition,[status(thm)],[c_62,c_2837]) ).
cnf(c_16463,plain,
join(X0,composition(sk1,X0)) = composition(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_221,c_2837]) ).
cnf(c_16584,plain,
join(X0,composition(sk1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_16463,c_2782]) ).
cnf(c_16785,plain,
composition(top,top) = top,
inference(superposition,[status(thm)],[c_16461,c_9478]) ).
cnf(c_17062,plain,
join(complement(top),composition(converse(top),complement(top))) = complement(top),
inference(superposition,[status(thm)],[c_16785,c_79]) ).
cnf(c_17064,plain,
composition(sk1,top) = composition(sP1_iProver_def,top),
inference(superposition,[status(thm)],[c_16785,c_287]) ).
cnf(c_17065,plain,
composition(sP1_iProver_def,top) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_17064,c_122]) ).
cnf(c_17067,plain,
join(zero,composition(top,zero)) = zero,
inference(light_normalisation,[status(thm)],[c_17062,c_242,c_5118]) ).
cnf(c_17072,plain,
join(sP1_iProver_def,composition(X0,top)) = composition(join(sP1_iProver_def,X0),top),
inference(superposition,[status(thm)],[c_17065,c_57]) ).
cnf(c_17110,plain,
composition(top,zero) = zero,
inference(superposition,[status(thm)],[c_17067,c_1089]) ).
cnf(c_17179,plain,
composition(zero,converse(top)) = converse(zero),
inference(superposition,[status(thm)],[c_17110,c_1864]) ).
cnf(c_17180,plain,
composition(zero,top) = zero,
inference(light_normalisation,[status(thm)],[c_17179,c_1845,c_5118]) ).
cnf(c_17188,plain,
composition(converse(sP2_iProver_def),sP1_iProver_def) = zero,
inference(demodulation,[status(thm)],[c_8653,c_17180]) ).
cnf(c_17219,plain,
composition(join(converse(sP2_iProver_def),X0),sP1_iProver_def) = join(zero,composition(X0,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_17188,c_57]) ).
cnf(c_17248,plain,
join(X0,converse(composition(sk1,converse(X0)))) = converse(converse(X0)),
inference(superposition,[status(thm)],[c_16584,c_263]) ).
cnf(c_17318,plain,
join(X0,converse(composition(sk1,converse(X0)))) = X0,
inference(light_normalisation,[status(thm)],[c_17248,c_58]) ).
cnf(c_17542,plain,
join(sP4_iProver_def,join(X0,composition(sP2_iProver_def,top))) = join(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_51,c_3025]) ).
cnf(c_20660,plain,
meet(join(complement(X0),top),meet(X0,zero)) = zero,
inference(superposition,[status(thm)],[c_242,c_11696]) ).
cnf(c_20685,plain,
meet(join(top,complement(X0)),meet(X0,zero)) = zero,
inference(theory_normalisation,[status(thm)],[c_20660,c_52,c_51]) ).
cnf(c_20686,plain,
complement(join(sP4_iProver_def,top)) = zero,
inference(light_normalisation,[status(thm)],[c_20685,c_1347,c_8629,c_15480]) ).
cnf(c_21616,plain,
join(sP2_iProver_def,complement(composition(converse(sP0_iProver_def),sP1_iProver_def))) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_2782,c_14833]) ).
cnf(c_21647,plain,
join(sP2_iProver_def,complement(composition(sP0_iProver_def,sP1_iProver_def))) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_21616,c_2772]) ).
cnf(c_21865,plain,
join(X0,join(X1,meet(X2,X0))) = join(X0,X1),
inference(superposition,[status(thm)],[c_51,c_15237]) ).
cnf(c_21868,plain,
join(X0,complement(meet(X1,X0))) = join(X0,top),
inference(superposition,[status(thm)],[c_62,c_15237]) ).
cnf(c_22108,plain,
join(X0,complement(meet(X1,X0))) = top,
inference(light_normalisation,[status(thm)],[c_21868,c_9137,c_11302]) ).
cnf(c_23898,plain,
join(sP1_iProver_def,composition(sP2_iProver_def,top)) = composition(top,top),
inference(superposition,[status(thm)],[c_225,c_17072]) ).
cnf(c_23942,plain,
join(sP1_iProver_def,composition(sP2_iProver_def,top)) = top,
inference(light_normalisation,[status(thm)],[c_23898,c_16785]) ).
cnf(c_24660,plain,
join(sP4_iProver_def,top) = join(sP4_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_23942,c_17542]) ).
cnf(c_24661,plain,
join(sP1_iProver_def,sP4_iProver_def) = join(sP4_iProver_def,top),
inference(theory_normalisation,[status(thm)],[c_24660,c_52,c_51]) ).
cnf(c_24670,plain,
complement(join(sP1_iProver_def,sP4_iProver_def)) = zero,
inference(demodulation,[status(thm)],[c_20686,c_24661]) ).
cnf(c_24722,plain,
join(meet(sk1,sP1_iProver_def),zero) = sk1,
inference(superposition,[status(thm)],[c_24670,c_4275]) ).
cnf(c_24724,plain,
join(zero,meet(sk1,sP1_iProver_def)) = sk1,
inference(theory_normalisation,[status(thm)],[c_24722,c_52,c_51]) ).
cnf(c_25959,plain,
meet(sk1,sP1_iProver_def) = sk1,
inference(superposition,[status(thm)],[c_24724,c_1089]) ).
cnf(c_26337,plain,
join(sP1_iProver_def,sk1) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_25959,c_9391]) ).
cnf(c_26381,plain,
join(sP0_iProver_def,sP1_iProver_def) = join(sP5_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_26337,c_3006]) ).
cnf(c_26388,plain,
join(sP0_iProver_def,sP1_iProver_def) = join(sP1_iProver_def,sP5_iProver_def),
inference(theory_normalisation,[status(thm)],[c_26381,c_52,c_51]) ).
cnf(c_28592,plain,
join(join(sP0_iProver_def,sP1_iProver_def),X0) = join(sP1_iProver_def,join(sP5_iProver_def,X0)),
inference(superposition,[status(thm)],[c_26388,c_52]) ).
cnf(c_28603,plain,
join(sP0_iProver_def,join(sP1_iProver_def,X0)) = join(sP1_iProver_def,join(sP5_iProver_def,X0)),
inference(theory_normalisation,[status(thm)],[c_28592,c_52,c_51]) ).
cnf(c_29437,plain,
meet(complement(sP2_iProver_def),composition(sP0_iProver_def,sP1_iProver_def)) = complement(sP2_iProver_def),
inference(superposition,[status(thm)],[c_21647,c_8741]) ).
cnf(c_29439,plain,
meet(sP1_iProver_def,composition(sP0_iProver_def,sP1_iProver_def)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_29437,c_2195]) ).
cnf(c_30213,plain,
join(sP1_iProver_def,zero) = join(sP1_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_5734,c_21865]) ).
cnf(c_37192,plain,
join(sP0_iProver_def,join(sP1_iProver_def,complement(sP5_iProver_def))) = join(sP1_iProver_def,top),
inference(superposition,[status(thm)],[c_62,c_28603]) ).
cnf(c_52156,plain,
join(complement(join(sP5_iProver_def,sP0_iProver_def)),sk1) = complement(sP5_iProver_def),
inference(superposition,[status(thm)],[c_11425,c_8753]) ).
cnf(c_52202,plain,
join(sk1,complement(join(sP0_iProver_def,sP5_iProver_def))) = complement(sP5_iProver_def),
inference(theory_normalisation,[status(thm)],[c_52156,c_52,c_51]) ).
cnf(c_52203,plain,
join(sk1,complement(sP0_iProver_def)) = complement(sP5_iProver_def),
inference(light_normalisation,[status(thm)],[c_52202,c_8606]) ).
cnf(c_52720,plain,
join(complement(sP0_iProver_def),converse(sk1)) = converse(complement(sP5_iProver_def)),
inference(superposition,[status(thm)],[c_52203,c_12881]) ).
cnf(c_56926,plain,
meet(X0,join(X0,X1)) = X0,
inference(superposition,[status(thm)],[c_8600,c_15515]) ).
cnf(c_57016,plain,
meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_51,c_56926]) ).
cnf(c_57229,plain,
meet(sP3_iProver_def,join(sP0_iProver_def,X0)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_16326,c_56926]) ).
cnf(c_58017,plain,
meet(composition(sP0_iProver_def,sP1_iProver_def),sP1_iProver_def) = composition(sP0_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_16260,c_57016]) ).
cnf(c_64053,plain,
meet(sP3_iProver_def,join(sP1_iProver_def,top)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_37192,c_57229]) ).
cnf(c_69674,plain,
join(sP1_iProver_def,composition(converse(sP2_iProver_def),sP1_iProver_def)) = join(zero,composition(sP0_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_17219,c_2850]) ).
cnf(c_69676,plain,
join(zero,composition(sP0_iProver_def,sP1_iProver_def)) = join(sP1_iProver_def,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_69674,c_17188,c_30213]) ).
cnf(c_91196,plain,
meet(complement(X0),meet(X1,X0)) = complement(top),
inference(superposition,[status(thm)],[c_22108,c_8741]) ).
cnf(c_91438,plain,
meet(complement(X0),meet(X1,X0)) = zero,
inference(light_normalisation,[status(thm)],[c_91196,c_242]) ).
cnf(c_158089,plain,
meet(complement(composition(sP0_iProver_def,sP1_iProver_def)),sP1_iProver_def) = zero,
inference(superposition,[status(thm)],[c_29439,c_91438]) ).
cnf(c_229256,plain,
join(complement(join(composition(sP0_iProver_def,sP1_iProver_def),sP1_iProver_def)),zero) = complement(composition(sP0_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_158089,c_8753]) ).
cnf(c_229272,plain,
join(zero,complement(join(sP1_iProver_def,composition(sP0_iProver_def,sP1_iProver_def)))) = complement(composition(sP0_iProver_def,sP1_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_229256,c_52,c_51]) ).
cnf(c_229273,plain,
complement(composition(sP0_iProver_def,sP1_iProver_def)) = join(zero,sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_229272,c_123,c_16260]) ).
cnf(c_229274,plain,
complement(composition(sP0_iProver_def,sP1_iProver_def)) = join(sP2_iProver_def,zero),
inference(theory_normalisation,[status(thm)],[c_229273,c_52,c_51]) ).
cnf(c_300816,plain,
complement(join(sP2_iProver_def,zero)) = composition(sP0_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_229274,c_8600]) ).
cnf(c_300827,plain,
meet(composition(sP0_iProver_def,sP1_iProver_def),join(sP2_iProver_def,zero)) = zero,
inference(superposition,[status(thm)],[c_229274,c_63]) ).
cnf(c_301067,plain,
meet(composition(sP0_iProver_def,sP1_iProver_def),sP2_iProver_def) = zero,
inference(superposition,[status(thm)],[c_1225,c_300827]) ).
cnf(c_301829,plain,
join(zero,meet(composition(sP0_iProver_def,sP1_iProver_def),complement(sP2_iProver_def))) = composition(sP0_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_301067,c_359]) ).
cnf(c_301847,plain,
join(sP1_iProver_def,sP1_iProver_def) = composition(sP0_iProver_def,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_301829,c_2195,c_58017,c_69676]) ).
cnf(c_320516,plain,
complement(join(sP2_iProver_def,zero)) = join(sP1_iProver_def,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_300816,c_301847]) ).
cnf(c_391587,plain,
composition(top,converse(sk1)) = converse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_122,c_5164]) ).
cnf(c_432795,plain,
join(sP1_iProver_def,complement(sP0_iProver_def)) = complement(sP3_iProver_def),
inference(superposition,[status(thm)],[c_1199,c_8709]) ).
cnf(c_433063,plain,
join(complement(sP0_iProver_def),converse(sP1_iProver_def)) = converse(complement(sP3_iProver_def)),
inference(superposition,[status(thm)],[c_432795,c_12881]) ).
cnf(c_493347,plain,
meet(X0,join(sP2_iProver_def,complement(join(sP2_iProver_def,zero)))) = complement(join(complement(X0),meet(sP1_iProver_def,sP2_iProver_def))),
inference(superposition,[status(thm)],[c_2682,c_570]) ).
cnf(c_493469,plain,
meet(X0,join(sP2_iProver_def,join(sP1_iProver_def,sP1_iProver_def))) = complement(join(complement(X0),zero)),
inference(light_normalisation,[status(thm)],[c_493347,c_228,c_320516]) ).
cnf(c_493470,plain,
meet(X0,join(sP1_iProver_def,join(sP1_iProver_def,sP2_iProver_def))) = complement(join(zero,complement(X0))),
inference(theory_normalisation,[status(thm)],[c_493469,c_52,c_51]) ).
cnf(c_493471,plain,
complement(join(zero,complement(X0))) = meet(X0,join(sP1_iProver_def,top)),
inference(light_normalisation,[status(thm)],[c_493470,c_225]) ).
cnf(c_493518,plain,
complement(join(zero,complement(sP3_iProver_def))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_64053,c_493471]) ).
cnf(c_624288,plain,
join(X0,composition(X0,converse(sk1))) = X0,
inference(superposition,[status(thm)],[c_269,c_17318]) ).
cnf(c_625378,plain,
join(X0,join(composition(X0,converse(sk1)),X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_624288,c_52]) ).
cnf(c_626857,plain,
join(X0,join(X1,composition(X0,converse(sk1)))) = join(X0,X1),
inference(superposition,[status(thm)],[c_51,c_625378]) ).
cnf(c_630318,plain,
join(complement(sP0_iProver_def),composition(top,converse(sk1))) = join(complement(sP0_iProver_def),converse(sk1)),
inference(superposition,[status(thm)],[c_16461,c_626857]) ).
cnf(c_631229,plain,
converse(complement(sP3_iProver_def)) = converse(complement(sP5_iProver_def)),
inference(light_normalisation,[status(thm)],[c_630318,c_52720,c_391587,c_433063]) ).
cnf(c_631857,plain,
converse(converse(complement(sP3_iProver_def))) = complement(sP5_iProver_def),
inference(superposition,[status(thm)],[c_631229,c_58]) ).
cnf(c_631985,plain,
complement(sP3_iProver_def) = complement(sP5_iProver_def),
inference(superposition,[status(thm)],[c_631857,c_58]) ).
cnf(c_632097,plain,
complement(join(zero,complement(sP3_iProver_def))) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_8013,c_631985]) ).
cnf(c_632143,plain,
sP3_iProver_def = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_632097,c_493518]) ).
cnf(c_632144,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_632143,c_128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL027-1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n001.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sun Jun 23 05:22:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.46 Running UEQ theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 137.76/18.24 % SZS status Started for theBenchmark.p
% 137.76/18.24 % SZS status Unsatisfiable for theBenchmark.p
% 137.76/18.24
% 137.76/18.24 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 137.76/18.24
% 137.76/18.24 ------ iProver source info
% 137.76/18.24
% 137.76/18.24 git: date: 2024-06-12 09:56:46 +0000
% 137.76/18.24 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 137.76/18.24 git: non_committed_changes: false
% 137.76/18.24
% 137.76/18.24 ------ Parsing...successful
% 137.76/18.24
% 137.76/18.24
% 137.76/18.24
% 137.76/18.24 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 137.76/18.24
% 137.76/18.24 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 137.76/18.24
% 137.76/18.24 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 137.76/18.24 ------ Proving...
% 137.76/18.24 ------ Problem Properties
% 137.76/18.24
% 137.76/18.24
% 137.76/18.24 clauses 21
% 137.76/18.24 conjectures 2
% 137.76/18.24 EPR 2
% 137.76/18.24 Horn 21
% 137.76/18.24 unary 21
% 137.76/18.24 binary 0
% 137.76/18.24 lits 21
% 137.76/18.24 lits eq 21
% 137.76/18.24 fd_pure 0
% 137.76/18.24 fd_pseudo 0
% 137.76/18.24 fd_cond 0
% 137.76/18.24 fd_pseudo_cond 0
% 137.76/18.24 AC symbols 1
% 137.76/18.24
% 137.76/18.24 ------ Input Options Time Limit: Unbounded
% 137.76/18.24
% 137.76/18.24
% 137.76/18.24 ------
% 137.76/18.24 Current options:
% 137.76/18.24 ------
% 137.76/18.24
% 137.76/18.24
% 137.76/18.24
% 137.76/18.24
% 137.76/18.24 ------ Proving...
% 137.76/18.24
% 137.76/18.24
% 137.76/18.24 % SZS status Unsatisfiable for theBenchmark.p
% 137.76/18.24
% 137.76/18.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 137.76/18.24
% 137.76/18.25
%------------------------------------------------------------------------------