TSTP Solution File: REL017+2 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : REL017+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 1.28s 145.46s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 10
% Syntax : Number of formulae : 85 ( 76 unt; 0 def)
% Number of atoms : 94 ( 93 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 24 ( 15 ~; 7 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 166 ( 3 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/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(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(goals,conjecture,
! [X1,X2,X3] :
( join(join(join(complement(composition(X1,X2)),composition(X1,X3)),complement(composition(X1,meet(X2,complement(X3))))),composition(X1,X3)) = join(complement(composition(X1,meet(X2,complement(X3)))),composition(X1,X3))
& join(join(join(complement(composition(X1,meet(X2,complement(X3)))),composition(X1,X3)),complement(composition(X1,X2))),composition(X1,X3)) = join(complement(composition(X1,X2)),composition(X1,X3)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
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(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_idempotence,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
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]) ).
cnf(c_0_14,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
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]) ).
cnf(c_0_16,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(pm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_17,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_18,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_19,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X1),complement(X2)))) = X2,
inference(pm,[status(thm)],[c_0_16,c_0_13]) ).
cnf(c_0_20,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_17,c_0_13]),c_0_17]) ).
cnf(c_0_21,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
join(complement(join(X1,complement(X2))),join(complement(join(complement(X1),complement(X2))),X3)) = join(X2,X3),
inference(spm,[status(thm)],[c_0_17,c_0_19]) ).
cnf(c_0_23,plain,
join(complement(join(complement(X1),X2)),join(X3,complement(join(complement(X1),complement(X2))))) = join(X3,X1),
inference(spm,[status(thm)],[c_0_20,c_0_14]) ).
cnf(c_0_24,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_13,c_0_17]) ).
cnf(c_0_25,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X2),X1))) = X2,
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_26,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(pm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_27,plain,
join(complement(join(complement(X1),X2)),join(complement(join(complement(X1),complement(X2))),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_17,c_0_14]) ).
cnf(c_0_28,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_21,c_0_13]) ).
cnf(c_0_29,plain,
join(X1,join(complement(join(X1,complement(X2))),X3)) = join(X2,join(X3,complement(join(complement(X1),complement(complement(X2)))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_30,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_25,c_0_26]),c_0_24]),c_0_13]) ).
cnf(c_0_31,plain,
join(X1,complement(join(complement(X1),complement(complement(X2))))) = join(X1,complement(join(complement(X1),X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_14]),c_0_13]) ).
cnf(c_0_32,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_26,c_0_14]),c_0_17]),c_0_13]) ).
cnf(c_0_33,plain,
join(complement(X1),join(composition(converse(X2),complement(composition(X2,X1))),X3)) = join(complement(X1),X3),
inference(spm,[status(thm)],[c_0_17,c_0_28]) ).
cnf(c_0_34,plain,
join(X1,complement(X1)) = join(X2,complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_16]),c_0_16]),c_0_13]) ).
cnf(c_0_35,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_30,c_0_31]),c_0_32]),c_0_13]) ).
cnf(c_0_36,plain,
join(complement(X1),join(X2,complement(X2))) = join(complement(X1),complement(composition(converse(X3),complement(composition(X3,X1))))),
inference(pm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
join(complement(complement(X1)),join(complement(complement(X1)),X2)) = join(X1,join(complement(complement(X1)),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_35]),c_0_17]) ).
cnf(c_0_38,plain,
join(complement(complement(X1)),complement(join(complement(X1),join(X2,complement(X2))))) = X1,
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_14,c_0_36]),c_0_28]) ).
cnf(c_0_39,plain,
join(X1,complement(complement(X1))) = join(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_13]) ).
cnf(c_0_40,plain,
join(complement(join(complement(X1),complement(X1))),complement(join(X2,complement(X2)))) = X1,
inference(pm,[status(thm)],[c_0_14,c_0_34]) ).
cnf(c_0_41,plain,
join(complement(complement(X1)),complement(complement(X1))) = join(X1,X1),
inference(rw,[status(thm)],[c_0_35,c_0_39]) ).
cnf(c_0_42,plain,
join(complement(join(X1,X1)),complement(join(X2,complement(X2)))) = complement(X1),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_43,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_40,c_0_42]) ).
cnf(c_0_44,plain,
join(X1,complement(join(complement(X1),join(X2,complement(X2))))) = X1,
inference(rw,[status(thm)],[c_0_38,c_0_43]) ).
cnf(c_0_45,plain,
join(X1,complement(join(X2,join(complement(X1),complement(X2))))) = X1,
inference(pm,[status(thm)],[c_0_44,c_0_20]) ).
cnf(c_0_46,plain,
join(X1,complement(join(X2,join(complement(X2),complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_44,c_0_13]),c_0_17]) ).
cnf(c_0_47,plain,
join(complement(join(X1,X2)),complement(join(complement(X1),X2))) = complement(X2),
inference(spm,[status(thm)],[c_0_19,c_0_43]) ).
cnf(c_0_48,plain,
join(X1,complement(join(X2,join(complement(X2),join(X1,complement(X1)))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_43]),c_0_17]),c_0_17]) ).
cnf(c_0_49,plain,
join(X1,join(complement(X1),join(X2,complement(X2)))) = join(X2,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_43]),c_0_13]),c_0_48]),c_0_43]),c_0_13]),c_0_43]),c_0_13]),c_0_43]) ).
cnf(c_0_50,plain,
join(X1,complement(join(X1,complement(X1)))) = X1,
inference(rw,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_51,plain,
complement(join(X1,X1)) = complement(X1),
inference(spm,[status(thm)],[c_0_42,c_0_50]) ).
fof(c_0_52,negated_conjecture,
~ ! [X1,X2,X3] :
( join(join(join(complement(composition(X1,X2)),composition(X1,X3)),complement(composition(X1,meet(X2,complement(X3))))),composition(X1,X3)) = join(complement(composition(X1,meet(X2,complement(X3)))),composition(X1,X3))
& join(join(join(complement(composition(X1,meet(X2,complement(X3)))),composition(X1,X3)),complement(composition(X1,X2))),composition(X1,X3)) = join(complement(composition(X1,X2)),composition(X1,X3)) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_53,plain,
! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).
fof(c_0_54,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_55,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
cnf(c_0_56,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_51]),c_0_43]) ).
cnf(c_0_57,plain,
join(complement(join(X1,X2)),complement(join(X1,complement(X2)))) = complement(X1),
inference(spm,[status(thm)],[c_0_14,c_0_43]) ).
fof(c_0_58,negated_conjecture,
( join(join(join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)),complement(composition(esk1_0,meet(esk2_0,complement(esk3_0))))),composition(esk1_0,esk3_0)) != join(complement(composition(esk1_0,meet(esk2_0,complement(esk3_0)))),composition(esk1_0,esk3_0))
| join(join(join(complement(composition(esk4_0,meet(esk5_0,complement(esk6_0)))),composition(esk4_0,esk6_0)),complement(composition(esk4_0,esk5_0))),composition(esk4_0,esk6_0)) != join(complement(composition(esk4_0,esk5_0)),composition(esk4_0,esk6_0)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])]) ).
fof(c_0_59,plain,
! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).
cnf(c_0_60,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_61,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_62,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_63,plain,
! [X2] : converse(converse(X2)) = X2,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
cnf(c_0_64,plain,
join(X1,complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_56]),c_0_57]),c_0_43]) ).
cnf(c_0_65,negated_conjecture,
( join(join(join(complement(composition(esk4_0,meet(esk5_0,complement(esk6_0)))),composition(esk4_0,esk6_0)),complement(composition(esk4_0,esk5_0))),composition(esk4_0,esk6_0)) != join(complement(composition(esk4_0,esk5_0)),composition(esk4_0,esk6_0))
| join(join(join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)),complement(composition(esk1_0,meet(esk2_0,complement(esk3_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_58]) ).
cnf(c_0_66,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_67,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_60,c_0_61]),c_0_62]),c_0_60]),c_0_60]),c_0_62]) ).
cnf(c_0_68,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_69,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_64]),c_0_13]),c_0_56]) ).
cnf(c_0_70,negated_conjecture,
( join(join(join(complement(composition(esk4_0,complement(join(complement(esk5_0),complement(complement(esk6_0)))))),composition(esk4_0,esk6_0)),complement(composition(esk4_0,esk5_0))),composition(esk4_0,esk6_0)) != join(complement(composition(esk4_0,esk5_0)),composition(esk4_0,esk6_0))
| join(join(join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)),complement(composition(esk1_0,complement(join(complement(esk2_0),complement(complement(esk3_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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66]),c_0_66]),c_0_66]) ).
cnf(c_0_71,plain,
composition(X1,join(converse(X2),converse(X3))) = join(composition(X1,converse(X2)),composition(X1,converse(X3))),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_72,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(pm,[status(thm)],[c_0_69,c_0_13]) ).
cnf(c_0_73,negated_conjecture,
( join(complement(composition(esk1_0,esk2_0)),join(composition(esk1_0,esk3_0),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,complement(join(complement(esk2_0),complement(complement(esk3_0)))))))
| join(composition(esk4_0,esk6_0),join(complement(composition(esk4_0,esk5_0)),join(composition(esk4_0,esk6_0),complement(composition(esk4_0,complement(join(complement(esk5_0),complement(complement(esk6_0))))))))) != join(complement(composition(esk4_0,esk5_0)),composition(esk4_0,esk6_0)) ),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_13]),c_0_17]),c_0_13]),c_0_17]),c_0_17]),c_0_13]),c_0_17]),c_0_17]),c_0_17]),c_0_13]),c_0_13]) ).
cnf(c_0_74,plain,
composition(X1,join(converse(X2),X3)) = join(composition(X1,converse(X2)),composition(X1,X3)),
inference(spm,[status(thm)],[c_0_71,c_0_68]) ).
cnf(c_0_75,plain,
join(complement(X1),complement(join(complement(X1),X2))) = join(complement(X1),complement(X2)),
inference(rw,[status(thm)],[c_0_30,c_0_72]) ).
cnf(c_0_76,negated_conjecture,
( join(complement(composition(esk1_0,esk2_0)),join(composition(esk1_0,esk3_0),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,complement(join(complement(esk2_0),complement(complement(esk3_0)))))))
| join(complement(composition(esk4_0,esk5_0)),join(composition(esk4_0,esk6_0),join(composition(esk4_0,esk6_0),complement(composition(esk4_0,complement(join(complement(esk5_0),complement(complement(esk6_0))))))))) != join(complement(composition(esk4_0,esk5_0)),composition(esk4_0,esk6_0)) ),
inference(rw,[status(thm)],[c_0_73,c_0_20]) ).
cnf(c_0_77,plain,
composition(X1,join(X2,X3)) = join(composition(X1,X2),composition(X1,X3)),
inference(spm,[status(thm)],[c_0_74,c_0_68]) ).
cnf(c_0_78,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_75,c_0_43]) ).
cnf(c_0_79,negated_conjecture,
( join(complement(composition(esk1_0,esk2_0)),join(composition(esk1_0,esk3_0),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,complement(join(esk3_0,complement(esk2_0))))))
| join(complement(composition(esk4_0,esk5_0)),join(composition(esk4_0,esk6_0),join(composition(esk4_0,esk6_0),complement(composition(esk4_0,complement(join(esk6_0,complement(esk5_0)))))))) != join(complement(composition(esk4_0,esk5_0)),composition(esk4_0,esk6_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_43]),c_0_13]),c_0_43]),c_0_13]),c_0_43]),c_0_13]) ).
cnf(c_0_80,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_56]),c_0_17]),c_0_56]) ).
cnf(c_0_81,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_77,c_0_78]),c_0_77]) ).
cnf(c_0_82,negated_conjecture,
( join(complement(composition(esk1_0,esk2_0)),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,complement(join(esk3_0,complement(esk2_0))))))
| join(complement(composition(esk4_0,esk5_0)),join(composition(esk4_0,esk6_0),complement(composition(esk4_0,complement(join(esk6_0,complement(esk5_0))))))) != join(complement(composition(esk4_0,esk5_0)),composition(esk4_0,esk6_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80]),c_0_80]) ).
cnf(c_0_83,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_78,c_0_81]),c_0_78]) ).
cnf(c_0_84,negated_conjecture,
$false,
inference(cn,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83]),c_0_43]),c_0_13]),c_0_80]),c_0_83]),c_0_43]),c_0_13]),c_0_83]),c_0_43]),c_0_13]),c_0_80])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : REL017+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jul 8 10:35:08 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.42/23.43 eprover: CPU time limit exceeded, terminating
% 0.42/23.44 eprover: CPU time limit exceeded, terminating
% 0.42/23.44 eprover: CPU time limit exceeded, terminating
% 0.42/23.44 eprover: CPU time limit exceeded, terminating
% 0.58/46.45 eprover: CPU time limit exceeded, terminating
% 0.58/46.45 eprover: CPU time limit exceeded, terminating
% 0.58/46.46 eprover: CPU time limit exceeded, terminating
% 0.58/46.53 eprover: CPU time limit exceeded, terminating
% 0.74/69.47 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.74/69.47
% 0.74/69.47 eprover: CPU time limit exceeded, terminating
% 0.74/69.55 eprover: CPU time limit exceeded, terminating
% 0.91/92.49 eprover: CPU time limit exceeded, terminating
% 0.91/92.49 eprover: CPU time limit exceeded, terminating
% 0.91/92.52 eprover: CPU time limit exceeded, terminating
% 0.91/92.56 eprover: CPU time limit exceeded, terminating
% 1.07/115.50 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 1.07/115.50
% 1.07/115.54 eprover: CPU time limit exceeded, terminating
% 1.07/115.58 eprover: CPU time limit exceeded, terminating
% 1.24/138.52 eprover: CPU time limit exceeded, terminating
% 1.24/138.52 eprover: CPU time limit exceeded, terminating
% 1.24/138.55 eprover: CPU time limit exceeded, terminating
% 1.24/138.59 eprover: CPU time limit exceeded, terminating
% 1.28/145.46 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 1.28/145.46
% 1.28/145.46 # Failure: Resource limit exceeded (time)
% 1.28/145.46 # OLD status Res
% 1.28/145.46 # Preprocessing time : 0.014 s
% 1.28/145.46 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 1.28/145.46
% 1.28/145.46 # Failure: Resource limit exceeded (time)
% 1.28/145.46 # OLD status Res
% 1.28/145.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 1.28/145.46 # Preprocessing time : 0.018 s
% 1.28/145.46 # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 1.28/145.46
% 1.28/145.46 # Failure: Resource limit exceeded (time)
% 1.28/145.46 # OLD status Res
% 1.28/145.46 # Preprocessing time : 0.018 s
% 1.28/145.46 # Running protocol protocol_eprover_6c565d2524e660970ec2a72c26d577f665a55420 for 23 seconds:
% 1.28/145.46
% 1.28/145.46 # Failure: Resource limit exceeded (time)
% 1.28/145.46 # OLD status Res
% 1.28/145.46 # Preprocessing time : 0.014 s
% 1.28/145.46 # Running protocol protocol_eprover_750456fc664a9e0b97096ad0f5110b1ead7d782b for 23 seconds:
% 1.28/145.46
% 1.28/145.46 # Failure: Resource limit exceeded (time)
% 1.28/145.46 # OLD status Res
% 1.28/145.46 # Preprocessing time : 0.017 s
% 1.28/145.46 # Running protocol protocol_eprover_a9abcacdf80c460fdc9fe242616d68da2308faf5 for 23 seconds:
% 1.28/145.46
% 1.28/145.46 # Failure: Resource limit exceeded (time)
% 1.28/145.46 # OLD status Res
% 1.28/145.46 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,02,500,1.0)
% 1.28/145.46 # Preprocessing time : 0.014 s
% 1.28/145.46 # Running protocol protocol_eprover_e60008599937a0dc787316fd87bf9ff4d65ffb48 for 23 seconds:
% 1.28/145.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.28/145.46 # Preprocessing time : 0.014 s
% 1.28/145.46
% 1.28/145.46 # Proof found!
% 1.28/145.46 # SZS status Theorem
% 1.28/145.46 # SZS output start CNFRefutation
% See solution above
% 1.28/145.46 # Proof object total steps : 85
% 1.28/145.46 # Proof object clause steps : 64
% 1.28/145.46 # Proof object formula steps : 21
% 1.28/145.46 # Proof object conjectures : 10
% 1.28/145.46 # Proof object clause conjectures : 7
% 1.28/145.46 # Proof object formula conjectures : 3
% 1.28/145.46 # Proof object initial clauses used : 10
% 1.28/145.46 # Proof object initial formulas used : 10
% 1.28/145.46 # Proof object generating inferences : 41
% 1.28/145.46 # Proof object simplifying inferences : 81
% 1.28/145.46 # Training examples: 0 positive, 0 negative
% 1.28/145.46 # Parsed axioms : 14
% 1.28/145.46 # Removed by relevancy pruning/SinE : 3
% 1.28/145.46 # Initial clauses : 11
% 1.28/145.46 # Removed in clause preprocessing : 1
% 1.28/145.46 # Initial clauses in saturation : 10
% 1.28/145.46 # Processed clauses : 33008
% 1.28/145.46 # ...of these trivial : 5713
% 1.28/145.46 # ...subsumed : 26558
% 1.28/145.46 # ...remaining for further processing : 737
% 1.28/145.46 # Other redundant clauses eliminated : 0
% 1.28/145.46 # Clauses deleted for lack of memory : 62113
% 1.28/145.46 # Backward-subsumed : 81
% 1.28/145.46 # Backward-rewritten : 296
% 1.28/145.46 # Generated clauses : 398246
% 1.28/145.46 # ...of the previous two non-trivial : 361694
% 1.28/145.46 # Contextual simplify-reflections : 0
% 1.28/145.46 # Paramodulations : 398246
% 1.28/145.46 # Factorizations : 0
% 1.28/145.46 # Equation resolutions : 0
% 1.28/145.46 # Current number of processed clauses : 360
% 1.28/145.46 # Positive orientable unit clauses : 246
% 1.28/145.46 # Positive unorientable unit clauses: 114
% 1.28/145.46 # Negative unit clauses : 0
% 1.28/145.46 # Non-unit-clauses : 0
% 1.28/145.46 # Current number of unprocessed clauses: 86701
% 1.28/145.46 # ...number of literals in the above : 86701
% 1.28/145.46 # Current number of archived formulas : 0
% 1.28/145.46 # Current number of archived clauses : 378
% 1.28/145.46 # Clause-clause subsumption calls (NU) : 4
% 1.28/145.46 # Rec. Clause-clause subsumption calls : 4
% 1.28/145.46 # Non-unit clause-clause subsumptions : 4
% 1.28/145.46 # Unit Clause-clause subsumption calls : 6082
% 1.28/145.46 # Rewrite failures with RHS unbound : 16569
% 1.28/145.46 # BW rewrite match attempts : 19537
% 1.28/145.46 # BW rewrite match successes : 3567
% 1.28/145.46 # Condensation attempts : 0
% 1.28/145.46 # Condensation successes : 0
% 1.28/145.46 # Termbank termtop insertions : 6730090
% 1.28/145.46
% 1.28/145.46 # -------------------------------------------------
% 1.28/145.46 # User time : 6.439 s
% 1.28/145.46 # System time : 0.067 s
% 1.28/145.46 # Total time : 6.506 s
% 1.28/145.46 # Maximum resident set size: 133348 pages
% 1.28/161.54 eprover: CPU time limit exceeded, terminating
% 1.28/161.54 eprover: CPU time limit exceeded, terminating
% 1.28/161.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.28/161.56 eprover: No such file or directory
% 1.28/161.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/161.56 eprover: No such file or directory
% 1.28/161.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/161.56 eprover: No such file or directory
% 1.28/161.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.28/161.56 eprover: No such file or directory
% 1.28/161.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/161.57 eprover: No such file or directory
% 1.28/161.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.28/161.57 eprover: No such file or directory
% 1.28/161.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/161.57 eprover: No such file or directory
% 1.28/161.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.28/161.58 eprover: No such file or directory
% 1.28/161.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/161.58 eprover: No such file or directory
% 1.28/161.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.28/161.58 eprover: No such file or directory
% 1.28/161.61 eprover: CPU time limit exceeded, terminating
% 1.28/161.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.28/161.62 eprover: No such file or directory
% 1.28/161.63 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.28/161.63 eprover: No such file or directory
% 1.28/161.63 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.28/161.63 eprover: No such file or directory
% 1.28/161.63 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.28/161.63 eprover: No such file or directory
% 1.28/161.64 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.28/161.64 eprover: No such file or directory
%------------------------------------------------------------------------------