%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : REL017+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 19:19:17 EDT 2022
% Result : Theorem 0.35s 30.53s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 10
% Syntax : Number of formulae : 116 ( 116 unt; 0 def)
% Number of atoms : 116 ( 115 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 273 ( 20 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux3_a_kind_of_de_Morgan,axiom,
! [X1,X2] : X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux3_a_kind_of_de_Morgan) ).
fof(maddux1_join_commutativity,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(maddux2_join_associativity,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).
fof(converse_cancellativity,axiom,
! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(converse_multiplicativity,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).
fof(composition_distributivity,axiom,
! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_distributivity) ).
fof(converse_additivity,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
fof(converse_idempotence,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(goals,conjecture,
! [X1,X2,X3] : join(complement(composition(X1,X2)),composition(X1,X3)) = join(complement(composition(X1,meet(X2,complement(X3)))),composition(X1,X3)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',goals) ).
fof(maddux4_definiton_of_meet,axiom,
! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
fof(c_0_10,plain,
! [X3,X4] : X3 = join(complement(join(complement(X3),complement(X4))),complement(join(complement(X3),X4))),
inference(variable_rename,[status(thm)],[maddux3_a_kind_of_de_Morgan]) ).
fof(c_0_11,plain,
! [X3,X4] : join(X3,X4) = join(X4,X3),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
cnf(c_0_12,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X4,X5,X6] : join(X4,join(X5,X6)) = join(join(X4,X5),X6),
inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).
cnf(c_0_15,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(spm,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_18,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_19,plain,
join(complement(join(X1,complement(X2))),join(complement(join(complement(X2),complement(X1))),X3)) = join(X2,X3),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X2),X1))) = X2,
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_21,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X1),complement(X2)))) = X2,
inference(spm,[status(thm)],[c_0_18,c_0_13]) ).
cnf(c_0_22,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_23,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X2,complement(join(complement(X1),X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_13]) ).
cnf(c_0_24,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X2,complement(join(complement(complement(X2)),complement(X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_21]),c_0_13]) ).
cnf(c_0_25,plain,
join(complement(X1),complement(join(X2,join(complement(X1),complement(join(complement(X2),complement(X1))))))) = join(complement(X2),complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_18]),c_0_22]),c_0_13]),c_0_13]) ).
cnf(c_0_26,plain,
join(X1,complement(join(complement(complement(X1)),complement(X2)))) = join(X1,complement(join(complement(X2),X1))),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
join(complement(X1),complement(join(complement(X2),join(complement(X1),complement(join(complement(X1),X2)))))) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_16]),c_0_13]) ).
cnf(c_0_28,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_13]),c_0_16]) ).
cnf(c_0_29,plain,
join(complement(X1),complement(complement(complement(X1)))) = join(complement(X1),complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_13]) ).
cnf(c_0_30,plain,
join(X1,join(complement(join(complement(X2),complement(complement(X1)))),X3)) = join(X2,join(complement(join(X2,complement(X1))),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_19]),c_0_28]) ).
cnf(c_0_31,plain,
join(complement(join(complement(X1),complement(X1))),complement(join(X1,complement(complement(complement(X1)))))) = complement(complement(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_29]),c_0_13]) ).
cnf(c_0_32,plain,
join(complement(join(complement(X1),complement(X1))),complement(join(complement(X1),complement(complement(complement(complement(X1))))))) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_29]) ).
cnf(c_0_33,plain,
join(X1,join(X2,X3)) = join(X3,join(X2,X1)),
inference(spm,[status(thm)],[c_0_22,c_0_13]) ).
cnf(c_0_34,plain,
join(X1,complement(complement(complement(X1)))) = join(X1,complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_13]) ).
cnf(c_0_35,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_17]) ).
fof(c_0_36,plain,
! [X3,X4] : join(composition(converse(X3),complement(composition(X3,X4))),complement(X4)) = complement(X4),
inference(variable_rename,[status(thm)],[converse_cancellativity]) ).
cnf(c_0_37,plain,
join(X1,join(complement(join(complement(X2),X1)),X3)) = join(X3,join(X2,complement(join(X2,complement(X1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_23]),c_0_28]) ).
cnf(c_0_38,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_34]),c_0_35]) ).
cnf(c_0_39,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_40,plain,
join(X1,join(complement(join(complement(X2),X1)),X3)) = join(X2,join(complement(join(X2,complement(X1))),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_37]),c_0_22]) ).
cnf(c_0_41,plain,
join(complement(join(X1,X2)),complement(join(complement(X2),X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_18,c_0_38]) ).
cnf(c_0_42,plain,
join(complement(join(complement(X1),X2)),complement(join(X2,X1))) = complement(X2),
inference(spm,[status(thm)],[c_0_20,c_0_38]) ).
cnf(c_0_43,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_39,c_0_13]) ).
cnf(c_0_44,plain,
join(X1,complement(X1)) = join(X2,complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_38]),c_0_42]) ).
cnf(c_0_45,plain,
join(complement(X1),join(composition(converse(X2),complement(composition(X2,X1))),X3)) = join(complement(X1),X3),
inference(spm,[status(thm)],[c_0_16,c_0_43]) ).
cnf(c_0_46,plain,
join(X1,join(complement(X1),X2)) = join(X2,join(X3,complement(X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_44]),c_0_28]) ).
cnf(c_0_47,plain,
join(complement(X1),join(X2,complement(X2))) = join(complement(X1),complement(composition(converse(X3),complement(composition(X3,X1))))),
inference(spm,[status(thm)],[c_0_45,c_0_44]) ).
cnf(c_0_48,plain,
join(complement(join(X1,X2)),join(X3,complement(X3))) = join(complement(X2),join(X1,complement(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_42]),c_0_16]) ).
cnf(c_0_49,plain,
join(complement(join(X1,X2)),complement(join(X1,complement(X2)))) = complement(X1),
inference(spm,[status(thm)],[c_0_15,c_0_38]) ).
cnf(c_0_50,plain,
join(complement(X1),complement(composition(converse(X2),complement(composition(X2,X1))))) = join(X3,join(complement(X3),complement(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_47]),c_0_22]) ).
cnf(c_0_51,plain,
join(complement(X1),join(X2,complement(X2))) = join(complement(X3),join(X1,complement(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_22]),c_0_48]),c_0_48]),c_0_48]) ).
cnf(c_0_52,plain,
join(X1,complement(join(X2,join(complement(X2),complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_38]),c_0_43]),c_0_38]),c_0_38]),c_0_13]) ).
cnf(c_0_53,plain,
join(complement(X1),join(X2,complement(X2))) = join(complement(X3),join(X4,complement(X4))),
inference(spm,[status(thm)],[c_0_48,c_0_51]) ).
cnf(c_0_54,plain,
join(X1,complement(join(complement(X2),join(X3,complement(X3))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_38]),c_0_38]) ).
cnf(c_0_55,plain,
complement(join(complement(join(X1,complement(X1))),complement(X2))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_54]),c_0_38]) ).
cnf(c_0_56,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_49]),c_0_38]),c_0_38]) ).
cnf(c_0_57,plain,
join(complement(join(X1,X2)),complement(join(X2,complement(X1)))) = complement(X2),
inference(spm,[status(thm)],[c_0_17,c_0_38]) ).
cnf(c_0_58,plain,
join(complement(X1),complement(join(complement(X1),join(X2,complement(join(complement(X2),complement(X1))))))) = join(complement(X2),complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_13]) ).
cnf(c_0_59,plain,
join(X1,complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_56]),c_0_57]),c_0_38]) ).
fof(c_0_60,plain,
! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).
fof(c_0_61,plain,
! [X4,X5,X6] : composition(join(X4,X5),X6) = join(composition(X4,X6),composition(X5,X6)),
inference(variable_rename,[status(thm)],[composition_distributivity]) ).
fof(c_0_62,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
cnf(c_0_63,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X2,complement(join(X2,complement(X1)))),
inference(spm,[status(thm)],[c_0_23,c_0_13]) ).
cnf(c_0_64,plain,
join(complement(X1),complement(join(complement(X1),X2))) = join(complement(X2),complement(X1)),
inference(rw,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_66,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_67,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_68,plain,
! [X2] : converse(converse(X2)) = X2,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
cnf(c_0_69,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_38]),c_0_38]) ).
cnf(c_0_70,plain,
composition(converse(X1),join(converse(X2),converse(X3))) = join(composition(converse(X1),converse(X2)),composition(converse(X1),converse(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_65]),c_0_65]),c_0_67]) ).
cnf(c_0_71,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_72,plain,
join(X1,complement(join(X2,join(X1,X3)))) = join(X1,complement(join(X3,X2))),
inference(spm,[status(thm)],[c_0_69,c_0_22]) ).
cnf(c_0_73,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_56]),c_0_16]),c_0_56]) ).
cnf(c_0_74,plain,
composition(X1,join(converse(X2),converse(X3))) = join(composition(X1,converse(X2)),composition(X1,converse(X3))),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_75,plain,
join(X1,complement(join(X2,join(X1,X3)))) = join(complement(join(X3,X2)),X1),
inference(spm,[status(thm)],[c_0_13,c_0_72]) ).
cnf(c_0_76,plain,
join(X1,join(X2,join(X1,X3))) = join(X2,join(X1,X3)),
inference(spm,[status(thm)],[c_0_28,c_0_73]) ).
cnf(c_0_77,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(spm,[status(thm)],[c_0_59,c_0_38]) ).
cnf(c_0_78,plain,
composition(X1,join(converse(X2),X3)) = join(composition(X1,converse(X2)),composition(X1,X3)),
inference(spm,[status(thm)],[c_0_74,c_0_71]) ).
cnf(c_0_79,plain,
join(X1,complement(join(X2,join(X1,X3)))) = join(complement(join(X2,X3)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_75]),c_0_16]),c_0_76]) ).
cnf(c_0_80,plain,
join(complement(X1),complement(join(complement(X1),complement(X2)))) = join(X2,complement(join(X1,X2))),
inference(spm,[status(thm)],[c_0_23,c_0_38]) ).
cnf(c_0_81,plain,
join(complement(X1),complement(join(X1,X2))) = complement(X1),
inference(spm,[status(thm)],[c_0_77,c_0_38]) ).
cnf(c_0_82,plain,
composition(X1,join(X2,X3)) = join(composition(X1,X2),composition(X1,X3)),
inference(spm,[status(thm)],[c_0_78,c_0_71]) ).
cnf(c_0_83,plain,
join(X1,complement(join(X2,complement(join(X1,X3))))) = join(complement(join(X2,complement(X3))),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_69]),c_0_79]),c_0_13]) ).
cnf(c_0_84,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_64]),c_0_38]) ).
cnf(c_0_85,plain,
join(complement(X1),complement(join(X2,join(X3,X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_81,c_0_33]) ).
cnf(c_0_86,plain,
join(composition(X1,complement(X2)),composition(X1,complement(join(X2,X3)))) = composition(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_82,c_0_81]) ).
cnf(c_0_87,plain,
join(X1,join(complement(join(X1,X2)),X3)) = join(X3,join(X1,complement(X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_69]),c_0_28]) ).
cnf(c_0_88,plain,
join(X1,complement(join(complement(join(X1,X2)),X3))) = join(complement(join(X3,complement(X2))),X1),
inference(spm,[status(thm)],[c_0_83,c_0_13]) ).
cnf(c_0_89,plain,
join(X1,join(complement(join(X2,X1)),X3)) = join(X3,join(X1,complement(X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_84]),c_0_28]) ).
cnf(c_0_90,plain,
join(complement(composition(X1,complement(join(X2,X3)))),complement(join(X4,composition(X1,complement(X2))))) = complement(composition(X1,complement(join(X2,X3)))),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
fof(c_0_91,negated_conjecture,
~ ! [X1,X2,X3] : join(complement(composition(X1,X2)),composition(X1,X3)) = join(complement(composition(X1,meet(X2,complement(X3)))),composition(X1,X3)),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_92,plain,
join(X1,join(complement(join(X1,X2)),X3)) = join(complement(X2),join(X1,X3)),
inference(spm,[status(thm)],[c_0_33,c_0_87]) ).
cnf(c_0_93,plain,
join(X1,complement(join(complement(join(X1,X2)),X3))) = join(complement(join(complement(X2),X3)),X1),
inference(spm,[status(thm)],[c_0_88,c_0_13]) ).
cnf(c_0_94,plain,
join(X1,join(complement(join(X2,X1)),X3)) = join(complement(X2),join(X1,X3)),
inference(spm,[status(thm)],[c_0_33,c_0_89]) ).
cnf(c_0_95,plain,
join(complement(composition(X1,complement(join(complement(X2),X3)))),complement(join(X4,composition(X1,X2)))) = complement(composition(X1,complement(join(complement(X2),X3)))),
inference(spm,[status(thm)],[c_0_90,c_0_38]) ).
fof(c_0_96,negated_conjecture,
join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)) != join(complement(composition(esk1_0,meet(esk2_0,complement(esk3_0)))),composition(esk1_0,esk3_0)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])])]) ).
fof(c_0_97,plain,
! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).
cnf(c_0_98,plain,
join(complement(join(X1,X2)),join(X3,join(X1,X4))) = join(complement(X2),join(X3,join(X1,X4))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]),c_0_38]),c_0_16]),c_0_38]),c_0_16]) ).
cnf(c_0_99,plain,
join(composition(X1,X2),join(composition(X1,complement(join(complement(X2),X3))),X4)) = join(X4,composition(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_95]),c_0_38]),c_0_38]),c_0_84]),c_0_38]),c_0_38]),c_0_22]) ).
cnf(c_0_100,plain,
join(complement(X1),join(complement(join(X1,X2)),X3)) = join(complement(X1),X3),
inference(spm,[status(thm)],[c_0_16,c_0_81]) ).
cnf(c_0_101,negated_conjecture,
join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)) != join(complement(composition(esk1_0,meet(esk2_0,complement(esk3_0)))),composition(esk1_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_102,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_103,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_22,c_0_56]) ).
cnf(c_0_104,plain,
join(composition(X1,X2),join(complement(join(composition(X1,complement(join(complement(X2),X3))),X4)),X5)) = join(complement(X4),join(X5,composition(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_22]) ).
cnf(c_0_105,plain,
join(complement(X1),complement(join(complement(join(X1,X2)),X3))) = join(complement(X3),complement(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_100]),c_0_64]) ).
cnf(c_0_106,negated_conjecture,
join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)) != join(complement(composition(esk1_0,complement(join(complement(esk2_0),complement(complement(esk3_0)))))),composition(esk1_0,esk3_0)),
inference(rw,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_107,plain,
join(composition(X1,X2),complement(join(composition(X1,complement(join(complement(X2),X3))),X4))) = join(complement(X4),composition(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_56]),c_0_13]) ).
cnf(c_0_108,plain,
join(composition(X1,X2),composition(X1,complement(join(X3,X2)))) = join(composition(X1,X2),composition(X1,complement(X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_84]),c_0_82]) ).
cnf(c_0_109,plain,
join(X1,complement(join(complement(join(complement(X1),X2)),X3))) = join(complement(X3),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_45]),c_0_38]),c_0_38]) ).
cnf(c_0_110,negated_conjecture,
join(composition(esk1_0,esk3_0),complement(composition(esk1_0,complement(join(complement(esk2_0),complement(complement(esk3_0))))))) != join(composition(esk1_0,esk3_0),complement(composition(esk1_0,esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_13]),c_0_13]) ).
cnf(c_0_111,plain,
join(composition(X1,X2),complement(composition(X1,complement(join(X3,complement(join(complement(X2),X4))))))) = join(complement(composition(X1,complement(X3))),composition(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_107]),c_0_13]) ).
cnf(c_0_112,plain,
join(X1,complement(join(X2,complement(join(complement(X1),X3))))) = join(complement(X2),X1),
inference(spm,[status(thm)],[c_0_109,c_0_13]) ).
cnf(c_0_113,negated_conjecture,
join(composition(esk1_0,esk3_0),complement(composition(esk1_0,complement(join(esk3_0,complement(esk2_0)))))) != join(composition(esk1_0,esk3_0),complement(composition(esk1_0,esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_38]),c_0_13]) ).
cnf(c_0_114,plain,
join(composition(X1,X2),complement(composition(X1,complement(join(X2,X3))))) = join(complement(composition(X1,complement(X3))),composition(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_38]) ).
cnf(c_0_115,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_114]),c_0_38]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : REL017+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 07:32:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.32/23.39 eprover: CPU time limit exceeded, terminating
% 0.32/23.40 eprover: CPU time limit exceeded, terminating
% 0.32/23.40 eprover: CPU time limit exceeded, terminating
% 0.32/23.40 eprover: CPU time limit exceeded, terminating
% 0.35/30.53 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.35/30.53
% 0.35/30.53 # Failure: Resource limit exceeded (time)
% 0.35/30.53 # OLD status Res
% 0.35/30.53 # Preprocessing time : 0.015 s
% 0.35/30.53 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.35/30.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.35/30.53 # Preprocessing time : 0.008 s
% 0.35/30.53
% 0.35/30.53 # Proof found!
% 0.35/30.53 # SZS status Theorem
% 0.35/30.53 # SZS output start CNFRefutation
% See solution above
% 0.35/30.54 # Proof object total steps : 116
% 0.35/30.54 # Proof object clause steps : 95
% 0.35/30.54 # Proof object formula steps : 21
% 0.35/30.54 # Proof object conjectures : 8
% 0.35/30.54 # Proof object clause conjectures : 5
% 0.35/30.54 # Proof object formula conjectures : 3
% 0.35/30.54 # Proof object initial clauses used : 10
% 0.35/30.54 # Proof object initial formulas used : 10
% 0.35/30.54 # Proof object generating inferences : 76
% 0.35/30.54 # Proof object simplifying inferences : 89
% 0.35/30.54 # Training examples: 0 positive, 0 negative
% 0.35/30.54 # Parsed axioms : 14
% 0.35/30.54 # Removed by relevancy pruning/SinE : 3
% 0.35/30.54 # Initial clauses : 11
% 0.35/30.54 # Removed in clause preprocessing : 1
% 0.35/30.54 # Initial clauses in saturation : 10
% 0.35/30.54 # Processed clauses : 76713
% 0.35/30.54 # ...of these trivial : 7008
% 0.35/30.54 # ...subsumed : 68844
% 0.35/30.54 # ...remaining for further processing : 861
% 0.35/30.54 # Other redundant clauses eliminated : 0
% 0.35/30.54 # Clauses deleted for lack of memory : 64805
% 0.35/30.54 # Backward-subsumed : 145
% 0.35/30.54 # Backward-rewritten : 343
% 0.35/30.54 # Generated clauses : 664565
% 0.35/30.54 # ...of the previous two non-trivial : 631065
% 0.35/30.54 # Contextual simplify-reflections : 0
% 0.35/30.54 # Paramodulations : 664565
% 0.35/30.54 # Factorizations : 0
% 0.35/30.54 # Equation resolutions : 0
% 0.35/30.54 # Current number of processed clauses : 373
% 0.35/30.54 # Positive orientable unit clauses : 160
% 0.35/30.54 # Positive unorientable unit clauses: 213
% 0.35/30.54 # Negative unit clauses : 0
% 0.35/30.54 # Non-unit-clauses : 0
% 0.35/30.54 # Current number of unprocessed clauses: 183841
% 0.35/30.54 # ...number of literals in the above : 183841
% 0.35/30.54 # Current number of archived formulas : 0
% 0.35/30.54 # Current number of archived clauses : 489
% 0.35/30.54 # Clause-clause subsumption calls (NU) : 0
% 0.35/30.54 # Rec. Clause-clause subsumption calls : 0
% 0.35/30.54 # Non-unit clause-clause subsumptions : 0
% 0.35/30.54 # Unit Clause-clause subsumption calls : 10906
% 0.35/30.54 # Rewrite failures with RHS unbound : 38236
% 0.35/30.54 # BW rewrite match attempts : 24267
% 0.35/30.54 # BW rewrite match successes : 5228
% 0.35/30.54 # Condensation attempts : 0
% 0.35/30.54 # Condensation successes : 0
% 0.35/30.54 # Termbank termtop insertions : 9964145
% 0.35/30.54
% 0.35/30.54 # -------------------------------------------------
% 0.35/30.54 # User time : 6.793 s
% 0.35/30.54 # System time : 0.094 s
% 0.35/30.54 # Total time : 6.887 s
% 0.35/30.54 # Maximum resident set size: 156928 pages
% 0.35/46.42 eprover: CPU time limit exceeded, terminating
% 0.35/46.42 eprover: CPU time limit exceeded, terminating
% 0.35/46.42 eprover: CPU time limit exceeded, terminating
% 0.35/46.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.44 eprover: No such file or directory
% 0.35/46.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.44 eprover: No such file or directory
% 0.35/46.44 eprover: eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.44 Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.44 eprover: No such file or directory
% 0.35/46.44 eprover: No such file or directory
% 0.35/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.45 eprover: No such file or directory
% 0.35/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.45 eprover: No such file or directory
% 0.35/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.45 eprover: No such file or directory
% 0.35/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.45 eprover: No such file or directory
% 0.35/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.45 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.49 eprover: No such file or directory
% 0.35/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.49 eprover: No such file or directory
% 0.35/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.49 eprover: No such file or directory
%------------------------------------------------------------------------------