TSTP Solution File: REL017+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : REL017+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n006.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 19:19:18 EDT 2022
% Result : Theorem 0.48s 44.66s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 11
% Syntax : Number of formulae : 130 ( 130 unt; 0 def)
% Number of atoms : 130 ( 129 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 : 11 ( 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 : 304 ( 14 sgn 50 !; 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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).
fof(modular_law_1,axiom,
! [X1,X2,X3] : join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+1.ax',modular_law_1) ).
fof(maddux4_definiton_of_meet,axiom,
! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).
fof(converse_cancellativity,axiom,
! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).
fof(converse_idempotence,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(converse_multiplicativity,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/REL001+0.ax',converse_additivity) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p',goals) ).
fof(c_0_11,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_12,plain,
! [X3,X4] : join(X3,X4) = join(X4,X3),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
cnf(c_0_13,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X4,X5,X6] : join(X4,join(X5,X6)) = join(join(X4,X5),X6),
inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).
fof(c_0_16,plain,
! [X4,X5,X6] : join(meet(composition(X4,X5),X6),meet(composition(X4,meet(X5,composition(converse(X4),X6))),X6)) = meet(composition(X4,meet(X5,composition(converse(X4),X6))),X6),
inference(variable_rename,[status(thm)],[modular_law_1]) ).
fof(c_0_17,plain,
! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).
cnf(c_0_18,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(spm,[status(thm)],[c_0_18,c_0_14]) ).
cnf(c_0_23,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_14]) ).
cnf(c_0_24,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_14]),c_0_19]) ).
cnf(c_0_25,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3)))) = complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_21]),c_0_21]),c_0_21]),c_0_21]) ).
cnf(c_0_26,plain,
join(complement(join(X1,complement(X2))),join(complement(join(complement(X2),complement(X1))),X3)) = join(X2,X3),
inference(spm,[status(thm)],[c_0_19,c_0_22]) ).
cnf(c_0_27,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X2),X1))) = X2,
inference(spm,[status(thm)],[c_0_14,c_0_23]) ).
cnf(c_0_28,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_29,plain,
join(complement(join(complement(X1),X2)),join(X3,complement(join(complement(X1),complement(X2))))) = join(X3,X1),
inference(spm,[status(thm)],[c_0_24,c_0_18]) ).
cnf(c_0_30,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3))))))))) = complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_14]),c_0_14]) ).
fof(c_0_31,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_32,plain,
join(X1,complement(join(complement(X2),X1))) = join(X2,complement(join(X2,complement(X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_14]) ).
cnf(c_0_33,plain,
join(complement(X1),complement(join(complement(X1),join(X2,complement(join(complement(X1),complement(X2))))))) = join(complement(X1),complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_22]),c_0_28]),c_0_14]) ).
cnf(c_0_34,plain,
join(X1,complement(join(complement(composition(X2,X3)),complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_18]),c_0_14]) ).
cnf(c_0_35,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_36,plain,
! [X2] : converse(converse(X2)) = X2,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
cnf(c_0_37,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X1),complement(X2)))) = X2,
inference(spm,[status(thm)],[c_0_23,c_0_14]) ).
cnf(c_0_38,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X2,complement(join(X2,complement(X1)))),
inference(spm,[status(thm)],[c_0_32,c_0_14]) ).
cnf(c_0_39,plain,
join(complement(composition(X1,X2)),complement(join(complement(composition(X1,X2)),X3))) = join(complement(composition(X1,X2)),complement(X3)),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_35,c_0_14]) ).
cnf(c_0_41,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,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_26,c_0_37]),c_0_14]) ).
cnf(c_0_43,plain,
join(composition(X1,X2),complement(join(composition(X1,X2),complement(X3)))) = join(X3,composition(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_34]),c_0_14]),c_0_32]) ).
cnf(c_0_44,plain,
join(X1,complement(join(X1,complement(complement(composition(X2,X3)))))) = join(complement(composition(X2,X3)),complement(complement(X1))),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
join(complement(X1),composition(X2,complement(composition(converse(X2),X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
join(X1,complement(join(complement(X1),complement(composition(X2,X3))))) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_14]) ).
cnf(c_0_47,plain,
join(X1,complement(join(complement(complement(X1)),complement(X2)))) = join(X1,complement(join(X1,complement(X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_14]),c_0_32]) ).
cnf(c_0_48,plain,
join(X1,complement(join(X1,complement(composition(X2,X3))))) = join(X1,composition(X2,X3)),
inference(spm,[status(thm)],[c_0_38,c_0_43]) ).
cnf(c_0_49,plain,
join(complement(complement(X1)),complement(composition(X2,X3))) = join(X1,complement(join(X1,complement(complement(composition(X2,X3)))))),
inference(spm,[status(thm)],[c_0_14,c_0_44]) ).
cnf(c_0_50,plain,
join(X1,complement(join(complement(X2),complement(complement(X1))))) = join(X2,complement(join(X2,complement(X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_22]),c_0_14]) ).
cnf(c_0_51,plain,
join(complement(X1),join(composition(X2,complement(composition(converse(X2),X1))),X3)) = join(complement(X1),X3),
inference(spm,[status(thm)],[c_0_19,c_0_45]) ).
cnf(c_0_52,plain,
join(X1,join(X2,complement(join(complement(X3),X1)))) = join(X2,join(X3,complement(join(X3,complement(X1))))),
inference(spm,[status(thm)],[c_0_24,c_0_32]) ).
cnf(c_0_53,plain,
join(complement(complement(X1)),complement(join(X1,composition(X2,X3)))) = join(X1,complement(join(X1,complement(complement(composition(X2,X3)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_46]),c_0_47]),c_0_48]),c_0_14]),c_0_49]) ).
cnf(c_0_54,plain,
join(X1,join(X2,complement(join(complement(X3),complement(complement(X1)))))) = join(X2,join(X3,complement(join(X3,complement(X1))))),
inference(spm,[status(thm)],[c_0_24,c_0_50]) ).
cnf(c_0_55,plain,
join(complement(X1),join(X2,composition(X3,complement(composition(converse(X3),X1))))) = join(complement(X1),X2),
inference(spm,[status(thm)],[c_0_51,c_0_14]) ).
cnf(c_0_56,plain,
join(X1,join(complement(complement(complement(X1))),composition(X2,X3))) = join(X1,join(complement(X1),composition(X2,X3))),
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_52,c_0_53]),c_0_54]),c_0_48]),c_0_48]),c_0_24]),c_0_24]) ).
cnf(c_0_57,plain,
join(complement(X1),complement(complement(complement(complement(X1))))) = join(complement(X1),complement(complement(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_55]) ).
cnf(c_0_58,plain,
join(complement(composition(X1,X2)),complement(complement(composition(X3,X4)))) = join(complement(composition(X1,X2)),composition(X3,X4)),
inference(spm,[status(thm)],[c_0_48,c_0_39]) ).
cnf(c_0_59,plain,
complement(complement(complement(composition(X1,X2)))) = complement(composition(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_57]),c_0_58]),c_0_53]),c_0_34]) ).
cnf(c_0_60,plain,
join(X1,join(X2,complement(join(X2,complement(X3))))) = join(X3,join(X1,complement(join(X3,complement(X2))))),
inference(spm,[status(thm)],[c_0_24,c_0_38]) ).
cnf(c_0_61,plain,
complement(complement(composition(X1,X2))) = composition(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_59]),c_0_18]) ).
cnf(c_0_62,plain,
join(X1,complement(join(X2,complement(X1)))) = join(X1,complement(join(complement(X1),complement(complement(X2))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_18]),c_0_14]) ).
cnf(c_0_63,plain,
join(X1,join(X1,complement(join(X1,composition(X2,X3))))) = join(complement(composition(X2,X3)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_34]),c_0_61]) ).
cnf(c_0_64,plain,
join(X1,complement(join(X1,composition(X2,X3)))) = join(complement(composition(X2,X3)),complement(complement(X1))),
inference(rw,[status(thm)],[c_0_44,c_0_61]) ).
cnf(c_0_65,plain,
join(X1,complement(join(complement(X1),composition(X2,X3)))) = join(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_46]),c_0_14]) ).
cnf(c_0_66,plain,
join(X1,complement(join(complement(X1),complement(complement(X2))))) = join(X1,complement(join(complement(X1),X2))),
inference(spm,[status(thm)],[c_0_62,c_0_14]) ).
cnf(c_0_67,plain,
join(complement(X1),complement(join(complement(X1),join(complement(X2),complement(join(complement(X1),X2)))))) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_18]),c_0_19]),c_0_14]) ).
cnf(c_0_68,plain,
join(X1,join(complement(composition(X2,X3)),complement(complement(X1)))) = join(complement(composition(X2,X3)),X1),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,plain,
join(X1,complement(complement(X1))) = join(X1,X1),
inference(spm,[status(thm)],[c_0_65,c_0_40]) ).
cnf(c_0_70,plain,
join(complement(complement(X1)),complement(complement(X1))) = join(X1,complement(complement(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_66]),c_0_67]),c_0_14]) ).
cnf(c_0_71,plain,
join(complement(composition(X1,X2)),join(X3,X3)) = join(complement(composition(X1,X2)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_68]),c_0_69]) ).
cnf(c_0_72,plain,
join(complement(complement(X1)),complement(complement(X1))) = join(X1,X1),
inference(rw,[status(thm)],[c_0_70,c_0_69]) ).
cnf(c_0_73,plain,
join(complement(composition(X1,X2)),complement(complement(X3))) = join(complement(composition(X1,X2)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_71]) ).
cnf(c_0_74,plain,
join(complement(X1),complement(join(complement(composition(X2,X3)),X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_34,c_0_73]) ).
cnf(c_0_75,plain,
join(X1,complement(complement(complement(X1)))) = join(X1,complement(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_74]),c_0_34]) ).
cnf(c_0_76,plain,
join(complement(composition(X1,X2)),complement(complement(complement(composition(X3,X4))))) = join(complement(composition(X1,X2)),complement(composition(X3,X4))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_58]),c_0_39]) ).
cnf(c_0_77,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_75]),c_0_69]),c_0_37]) ).
cnf(c_0_78,plain,
join(complement(X1),complement(join(complement(X1),composition(X2,X3)))) = join(complement(X1),complement(composition(X2,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_46]),c_0_48]) ).
cnf(c_0_79,plain,
join(X1,join(X2,X3)) = join(X3,join(X2,X1)),
inference(spm,[status(thm)],[c_0_28,c_0_14]) ).
cnf(c_0_80,plain,
join(complement(composition(X1,X2)),complement(complement(complement(complement(composition(X3,X4)))))) = join(complement(composition(X1,X2)),composition(X3,X4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_76]),c_0_39]),c_0_58]) ).
cnf(c_0_81,plain,
join(complement(join(X1,X2)),complement(join(complement(X2),X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_23,c_0_77]) ).
cnf(c_0_82,plain,
join(complement(join(X1,X1)),complement(join(complement(X1),complement(composition(X2,X3))))) = join(complement(X1),composition(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_65]),c_0_78]) ).
cnf(c_0_83,plain,
join(complement(composition(X1,X2)),complement(join(X3,X3))) = join(complement(composition(X1,X2)),complement(X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_71]),c_0_39]) ).
cnf(c_0_84,plain,
join(X1,join(complement(composition(X2,X3)),X1)) = join(complement(composition(X2,X3)),X1),
inference(spm,[status(thm)],[c_0_28,c_0_71]) ).
cnf(c_0_85,plain,
join(X1,join(complement(join(X1,complement(X2))),X3)) = join(X3,join(X2,complement(join(X2,complement(X1))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_38]),c_0_24]) ).
cnf(c_0_86,plain,
join(complement(X1),complement(join(composition(X2,X3),complement(X1)))) = join(complement(X1),complement(composition(X2,X3))),
inference(spm,[status(thm)],[c_0_78,c_0_14]) ).
cnf(c_0_87,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_22]) ).
cnf(c_0_88,plain,
join(complement(composition(X1,X2)),complement(complement(complement(complement(complement(composition(X3,X4))))))) = join(complement(composition(X1,X2)),complement(composition(X3,X4))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_80]),c_0_39]) ).
cnf(c_0_89,plain,
join(X1,X1) = X1,
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_81,c_0_82]),c_0_77]),c_0_19]),c_0_83]),c_0_84]),c_0_23]),c_0_77]) ).
cnf(c_0_90,plain,
join(X1,join(complement(join(X1,complement(X2))),X3)) = join(X2,join(X3,complement(join(X2,complement(X1))))),
inference(spm,[status(thm)],[c_0_24,c_0_85]) ).
cnf(c_0_91,plain,
join(complement(join(X1,X2)),complement(join(X1,complement(X2)))) = complement(X1),
inference(spm,[status(thm)],[c_0_18,c_0_77]) ).
cnf(c_0_92,plain,
join(complement(composition(X1,X2)),complement(join(composition(X1,X2),X3))) = complement(composition(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_43]),c_0_77]),c_0_86]),c_0_14]) ).
cnf(c_0_93,plain,
join(complement(join(X1,complement(complement(X1)))),complement(join(complement(complement(X1)),complement(complement(complement(X1)))))) = complement(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_70]),c_0_14]) ).
cnf(c_0_94,plain,
join(complement(composition(X1,X2)),complement(composition(X1,X2))) = complement(composition(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_57]),c_0_34]),c_0_88]) ).
cnf(c_0_95,plain,
join(X1,complement(join(X1,complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_89]),c_0_77]),c_0_14]) ).
cnf(c_0_96,plain,
join(X1,complement(X1)) = join(X2,complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_81]),c_0_77]),c_0_91]) ).
cnf(c_0_97,plain,
join(composition(X1,X2),join(complement(composition(X1,X2)),X3)) = join(composition(X1,X2),complement(composition(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_92]),c_0_48]),c_0_28]) ).
cnf(c_0_98,plain,
join(X1,complement(join(composition(X2,X3),complement(join(composition(X2,X3),complement(X1)))))) = join(complement(composition(X2,X3)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_74]),c_0_77]),c_0_14]),c_0_32]) ).
cnf(c_0_99,plain,
join(composition(X1,X2),composition(X1,X2)) = composition(X1,X2),
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_93,c_0_61]),c_0_94]),c_0_61]),c_0_58]),c_0_32]),c_0_48]) ).
cnf(c_0_100,plain,
join(X1,complement(join(X2,complement(X2)))) = X1,
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
fof(c_0_101,plain,
! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).
fof(c_0_102,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_103,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
cnf(c_0_104,plain,
join(complement(X1),join(complement(join(complement(X1),join(complement(X2),complement(join(complement(X1),X2))))),X3)) = join(complement(X1),join(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_67]),c_0_19]) ).
cnf(c_0_105,plain,
join(X1,join(composition(X2,X3),complement(composition(X2,X3)))) = join(composition(X2,X3),complement(composition(X2,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_97]),c_0_98]),c_0_48]),c_0_99]) ).
cnf(c_0_106,plain,
join(complement(join(X1,complement(X1))),X2) = X2,
inference(spm,[status(thm)],[c_0_14,c_0_100]) ).
cnf(c_0_107,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_108,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_109,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_110,plain,
join(complement(X1),join(complement(join(complement(X1),join(X2,complement(join(complement(X1),complement(X2)))))),X3)) = join(complement(X1),join(complement(X2),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_33]),c_0_19]) ).
cnf(c_0_111,plain,
join(X1,join(complement(X1),X2)) = join(composition(X3,X4),complement(composition(X3,X4))),
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]),c_0_100]),c_0_77]),c_0_19]),c_0_97]),c_0_105]),c_0_24]) ).
fof(c_0_112,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_113,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_107,c_0_108]),c_0_109]),c_0_107]),c_0_107]),c_0_109]) ).
cnf(c_0_114,plain,
join(complement(X1),join(complement(X1),X2)) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_106]),c_0_77]) ).
fof(c_0_115,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_112])])]) ).
cnf(c_0_116,plain,
composition(X1,join(converse(X2),converse(X3))) = join(composition(X1,converse(X2)),composition(X1,converse(X3))),
inference(spm,[status(thm)],[c_0_113,c_0_41]) ).
cnf(c_0_117,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_22]),c_0_14]) ).
cnf(c_0_118,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_115]) ).
cnf(c_0_119,plain,
composition(X1,join(converse(X2),X3)) = join(composition(X1,converse(X2)),composition(X1,X3)),
inference(spm,[status(thm)],[c_0_116,c_0_41]) ).
cnf(c_0_120,plain,
join(complement(X1),complement(join(complement(X1),X2))) = join(complement(X1),complement(X2)),
inference(rw,[status(thm)],[c_0_33,c_0_117]) ).
cnf(c_0_121,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_117,c_0_77]) ).
cnf(c_0_122,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_118,c_0_21]) ).
cnf(c_0_123,plain,
composition(X1,join(X2,X3)) = join(composition(X1,X2),composition(X1,X3)),
inference(spm,[status(thm)],[c_0_119,c_0_41]) ).
cnf(c_0_124,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(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_120,c_0_81]),c_0_77]),c_0_77]),c_0_28]),c_0_14]),c_0_121]),c_0_14]) ).
cnf(c_0_125,negated_conjecture,
join(composition(esk1_0,esk3_0),complement(composition(esk1_0,complement(join(complement(esk2_0),complement(complement(esk3_0))))))) != join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)),
inference(rw,[status(thm)],[c_0_122,c_0_14]) ).
cnf(c_0_126,plain,
join(composition(X1,X2),composition(X1,complement(join(X2,X3)))) = join(composition(X1,X2),composition(X1,complement(X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_123]) ).
cnf(c_0_127,negated_conjecture,
join(composition(esk1_0,esk3_0),complement(composition(esk1_0,complement(join(esk3_0,complement(esk2_0)))))) != join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_77]),c_0_14]) ).
cnf(c_0_128,plain,
join(composition(X1,X2),complement(composition(X1,complement(join(X2,X3))))) = join(composition(X1,X2),complement(composition(X1,complement(X3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_126]),c_0_124]) ).
cnf(c_0_129,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_128]),c_0_77]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL017+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n006.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 11:11:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.35/23.40 eprover: CPU time limit exceeded, terminating
% 0.35/23.40 eprover: CPU time limit exceeded, terminating
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.43 eprover: CPU time limit exceeded, terminating
% 0.48/44.66 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.48/44.66
% 0.48/44.66 # Failure: Resource limit exceeded (time)
% 0.48/44.66 # OLD status Res
% 0.48/44.66 # Preprocessing time : 0.015 s
% 0.48/44.66 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.48/44.66 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.48/44.66 # Preprocessing time : 0.014 s
% 0.48/44.66
% 0.48/44.66 # Proof found!
% 0.48/44.66 # SZS status Theorem
% 0.48/44.66 # SZS output start CNFRefutation
% See solution above
% 0.48/44.67 # Proof object total steps : 130
% 0.48/44.67 # Proof object clause steps : 107
% 0.48/44.67 # Proof object formula steps : 23
% 0.48/44.67 # Proof object conjectures : 8
% 0.48/44.67 # Proof object clause conjectures : 5
% 0.48/44.67 # Proof object formula conjectures : 3
% 0.48/44.67 # Proof object initial clauses used : 11
% 0.48/44.67 # Proof object initial formulas used : 11
% 0.48/44.67 # Proof object generating inferences : 85
% 0.48/44.67 # Proof object simplifying inferences : 118
% 0.48/44.67 # Training examples: 0 positive, 0 negative
% 0.48/44.67 # Parsed axioms : 17
% 0.48/44.67 # Removed by relevancy pruning/SinE : 3
% 0.48/44.67 # Initial clauses : 14
% 0.48/44.67 # Removed in clause preprocessing : 1
% 0.48/44.67 # Initial clauses in saturation : 13
% 0.48/44.67 # Processed clauses : 195553
% 0.48/44.67 # ...of these trivial : 20407
% 0.48/44.67 # ...subsumed : 173750
% 0.48/44.67 # ...remaining for further processing : 1396
% 0.48/44.67 # Other redundant clauses eliminated : 0
% 0.48/44.67 # Clauses deleted for lack of memory : 797269
% 0.48/44.67 # Backward-subsumed : 154
% 0.48/44.67 # Backward-rewritten : 593
% 0.48/44.67 # Generated clauses : 1717156
% 0.48/44.67 # ...of the previous two non-trivial : 1605961
% 0.48/44.67 # Contextual simplify-reflections : 0
% 0.48/44.67 # Paramodulations : 1717156
% 0.48/44.67 # Factorizations : 0
% 0.48/44.67 # Equation resolutions : 0
% 0.48/44.67 # Current number of processed clauses : 649
% 0.48/44.67 # Positive orientable unit clauses : 266
% 0.48/44.67 # Positive unorientable unit clauses: 383
% 0.48/44.67 # Negative unit clauses : 0
% 0.48/44.67 # Non-unit-clauses : 0
% 0.48/44.67 # Current number of unprocessed clauses: 173523
% 0.48/44.67 # ...number of literals in the above : 173523
% 0.48/44.67 # Current number of archived formulas : 0
% 0.48/44.67 # Current number of archived clauses : 748
% 0.48/44.67 # Clause-clause subsumption calls (NU) : 0
% 0.48/44.67 # Rec. Clause-clause subsumption calls : 0
% 0.48/44.67 # Non-unit clause-clause subsumptions : 0
% 0.48/44.67 # Unit Clause-clause subsumption calls : 25531
% 0.48/44.67 # Rewrite failures with RHS unbound : 111880
% 0.48/44.67 # BW rewrite match attempts : 58932
% 0.48/44.67 # BW rewrite match successes : 9192
% 0.48/44.67 # Condensation attempts : 0
% 0.48/44.67 # Condensation successes : 0
% 0.48/44.67 # Termbank termtop insertions : 27117649
% 0.48/44.67
% 0.48/44.67 # -------------------------------------------------
% 0.48/44.67 # User time : 20.853 s
% 0.48/44.67 # System time : 0.157 s
% 0.48/44.67 # Total time : 21.010 s
% 0.48/44.67 # Maximum resident set size: 171016 pages
%------------------------------------------------------------------------------