TSTP Solution File: REL006+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : REL006+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 19:18:58 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 9
% Syntax : Number of formulae : 118 ( 115 unt; 0 def)
% Number of atoms : 121 ( 120 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 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 : 127 ( 12 sgn 34 !; 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(def_zero,axiom,
! [X1] : zero = meet(X1,complement(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_zero) ).
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(goals,conjecture,
! [X1,X2] :
( meet(converse(X1),X2) = zero
=> meet(X1,converse(X2)) = zero ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
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_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(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(c_0_9,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_10,plain,
! [X3,X4] : join(X3,X4) = join(X4,X3),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
fof(c_0_11,plain,
! [X2] : zero = meet(X2,complement(X2)),
inference(variable_rename,[status(thm)],[def_zero]) ).
fof(c_0_12,plain,
! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).
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_9]) ).
cnf(c_0_14,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
zero = meet(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,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_18,plain,
zero = complement(join(complement(X1),complement(complement(X1)))),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
join(zero,complement(join(complement(X1),complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_14]) ).
cnf(c_0_20,plain,
complement(join(zero,complement(zero))) = zero,
inference(spm,[status(thm)],[c_0_18,c_0_18]) ).
cnf(c_0_21,plain,
join(zero,complement(join(zero,zero))) = join(zero,complement(zero)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_14]) ).
cnf(c_0_23,plain,
join(complement(X1),complement(complement(X1))) = join(zero,complement(zero)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_18]),c_0_21]) ).
cnf(c_0_24,plain,
join(complement(join(zero,X1)),complement(join(zero,complement(X1)))) = join(zero,complement(zero)),
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_25,plain,
join(zero,complement(join(X1,complement(complement(X1))))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_20]),c_0_14]),c_0_14]) ).
cnf(c_0_26,plain,
join(zero,complement(zero)) = complement(zero),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_20]),c_0_25]) ).
fof(c_0_27,negated_conjecture,
~ ! [X1,X2] :
( meet(converse(X1),X2) = zero
=> meet(X1,converse(X2)) = zero ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_28,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_29,plain,
join(complement(X1),complement(complement(X1))) = complement(zero),
inference(rw,[status(thm)],[c_0_23,c_0_26]) ).
cnf(c_0_30,plain,
complement(complement(zero)) = zero,
inference(rw,[status(thm)],[c_0_20,c_0_26]) ).
fof(c_0_31,negated_conjecture,
( meet(converse(esk1_0),esk2_0) = zero
& meet(esk1_0,converse(esk2_0)) != zero ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
cnf(c_0_32,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_29]),c_0_30]),c_0_25]) ).
cnf(c_0_34,negated_conjecture,
meet(converse(esk1_0),esk2_0) = zero,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,plain,
join(zero,join(complement(join(complement(X1),complement(X1))),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_32,c_0_19]) ).
cnf(c_0_36,plain,
join(X1,complement(X1)) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_33]),c_0_14]) ).
cnf(c_0_37,negated_conjecture,
complement(join(complement(converse(esk1_0)),complement(esk2_0))) = zero,
inference(rw,[status(thm)],[c_0_34,c_0_16]) ).
cnf(c_0_38,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_14]),c_0_32]) ).
cnf(c_0_39,plain,
join(X1,join(complement(X1),complement(X1))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_36]),c_0_33]) ).
cnf(c_0_40,negated_conjecture,
complement(join(complement(esk2_0),complement(converse(esk1_0)))) = zero,
inference(rw,[status(thm)],[c_0_37,c_0_14]) ).
cnf(c_0_41,plain,
join(complement(join(zero,complement(X1))),complement(join(zero,join(complement(X1),complement(zero))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_20]),c_0_38]),c_0_14]),c_0_14]) ).
cnf(c_0_42,plain,
join(X1,complement(zero)) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_33]),c_0_38]),c_0_14]),c_0_36]) ).
cnf(c_0_43,negated_conjecture,
join(complement(esk2_0),complement(converse(esk1_0))) = join(zero,complement(zero)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_40]),c_0_21]) ).
fof(c_0_44,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
cnf(c_0_45,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(spm,[status(thm)],[c_0_17,c_0_14]) ).
fof(c_0_46,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_47,plain,
join(zero,complement(join(zero,complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42]),c_0_36]),c_0_33]),c_0_14]) ).
cnf(c_0_48,negated_conjecture,
join(zero,complement(join(complement(esk2_0),converse(esk1_0)))) = esk2_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_43]),c_0_20]),c_0_14]) ).
cnf(c_0_49,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_50,plain,
join(zero,complement(join(complement(zero),complement(join(zero,zero))))) = join(zero,zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_21]),c_0_20]),c_0_14]) ).
cnf(c_0_51,plain,
join(zero,join(complement(join(zero,zero)),X1)) = join(zero,join(complement(zero),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_21]),c_0_32]) ).
cnf(c_0_52,plain,
join(zero,complement(join(zero,join(complement(zero),complement(zero))))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_20]),c_0_32]) ).
cnf(c_0_53,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_54,plain,
join(complement(X1),complement(X1)) = join(zero,complement(X1)),
inference(spm,[status(thm)],[c_0_47,c_0_19]) ).
cnf(c_0_55,negated_conjecture,
join(zero,join(complement(join(complement(esk2_0),converse(esk1_0))),X1)) = join(esk2_0,X1),
inference(spm,[status(thm)],[c_0_32,c_0_48]) ).
cnf(c_0_56,plain,
join(converse(zero),converse(complement(join(complement(zero),complement(join(zero,zero)))))) = join(converse(zero),converse(zero)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_49]) ).
cnf(c_0_57,plain,
join(zero,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_51]),c_0_21]),c_0_20]),c_0_52]) ).
cnf(c_0_58,plain,
join(converse(zero),converse(complement(join(complement(X1),complement(X1))))) = converse(X1),
inference(spm,[status(thm)],[c_0_49,c_0_19]) ).
cnf(c_0_59,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_53,c_0_14]) ).
cnf(c_0_60,plain,
join(X1,X1) = join(zero,X1),
inference(spm,[status(thm)],[c_0_54,c_0_33]) ).
cnf(c_0_61,negated_conjecture,
join(complement(esk2_0),converse(esk1_0)) = join(complement(esk2_0),complement(join(esk2_0,complement(zero)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_55]),c_0_48]) ).
fof(c_0_62,plain,
! [X2] : converse(converse(X2)) = X2,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
cnf(c_0_63,plain,
join(converse(zero),converse(zero)) = converse(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_64,plain,
join(complement(X1),join(composition(converse(X2),complement(composition(X2,X1))),X3)) = join(complement(X1),X3),
inference(spm,[status(thm)],[c_0_32,c_0_59]) ).
cnf(c_0_65,plain,
join(X1,X1) = join(X1,zero),
inference(spm,[status(thm)],[c_0_14,c_0_60]) ).
cnf(c_0_66,negated_conjecture,
join(complement(esk2_0),converse(esk1_0)) = join(zero,complement(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_42]),c_0_33]),c_0_14]) ).
cnf(c_0_67,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_68,plain,
join(zero,converse(zero)) = converse(zero),
inference(rw,[status(thm)],[c_0_63,c_0_60]) ).
cnf(c_0_69,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_14,c_0_32]) ).
cnf(c_0_70,plain,
join(zero,complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_64]),c_0_14]),c_0_59]) ).
cnf(c_0_71,negated_conjecture,
join(converse(zero),converse(complement(esk2_0))) = join(esk1_0,converse(complement(esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_66]),c_0_49]),c_0_67]),c_0_14]) ).
cnf(c_0_72,plain,
converse(zero) = zero,
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_68]),c_0_67]),c_0_67]),c_0_14]),c_0_68]) ).
cnf(c_0_73,plain,
join(complement(join(X1,join(complement(X2),X3))),complement(join(complement(join(X3,X1)),complement(X2)))) = X2,
inference(spm,[status(thm)],[c_0_22,c_0_69]) ).
cnf(c_0_74,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_70,c_0_33]) ).
cnf(c_0_75,negated_conjecture,
join(zero,converse(complement(esk2_0))) = join(esk1_0,converse(complement(esk2_0))),
inference(rw,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_76,plain,
join(complement(join(complement(X1),X2)),join(X3,complement(join(complement(X1),complement(X2))))) = join(X3,X1),
inference(spm,[status(thm)],[c_0_38,c_0_17]) ).
cnf(c_0_77,plain,
complement(join(complement(X1),complement(join(X1,X2)))) = 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_73,c_0_36]),c_0_42]),c_0_33]),c_0_33]),c_0_74]),c_0_14]) ).
cnf(c_0_78,negated_conjecture,
join(esk1_0,converse(complement(esk2_0))) = converse(complement(esk2_0)),
inference(rw,[status(thm)],[c_0_75,c_0_74]) ).
cnf(c_0_79,plain,
join(X1,zero) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_70]),c_0_33]),c_0_42]),c_0_33]) ).
cnf(c_0_80,plain,
join(X1,join(complement(X1),complement(X2))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_36]),c_0_42]),c_0_32]),c_0_69]) ).
cnf(c_0_81,negated_conjecture,
complement(join(complement(esk1_0),complement(converse(complement(esk2_0))))) = esk1_0,
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_82,plain,
join(converse(X1),converse(complement(zero))) = converse(complement(zero)),
inference(spm,[status(thm)],[c_0_49,c_0_42]) ).
cnf(c_0_83,plain,
join(complement(join(complement(X1),X2)),join(complement(join(complement(X1),complement(X2))),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_32,c_0_17]) ).
cnf(c_0_84,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[c_0_65,c_0_79]) ).
cnf(c_0_85,plain,
join(X1,join(complement(X2),complement(X1))) = complement(zero),
inference(spm,[status(thm)],[c_0_80,c_0_14]) ).
cnf(c_0_86,negated_conjecture,
join(complement(esk1_0),complement(converse(complement(esk2_0)))) = complement(esk1_0),
inference(spm,[status(thm)],[c_0_33,c_0_81]) ).
cnf(c_0_87,plain,
join(complement(zero),X1) = complement(zero),
inference(spm,[status(thm)],[c_0_14,c_0_42]) ).
cnf(c_0_88,plain,
join(X1,converse(complement(zero))) = converse(complement(zero)),
inference(spm,[status(thm)],[c_0_82,c_0_67]) ).
cnf(c_0_89,plain,
join(X1,complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_17]) ).
cnf(c_0_90,negated_conjecture,
join(complement(esk1_0),converse(complement(esk2_0))) = complement(zero),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_14]) ).
cnf(c_0_91,plain,
converse(complement(zero)) = complement(zero),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_92,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(spm,[status(thm)],[c_0_89,c_0_33]) ).
cnf(c_0_93,negated_conjecture,
join(complement(esk2_0),converse(complement(esk1_0))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_90]),c_0_91]),c_0_67]),c_0_14]) ).
cnf(c_0_94,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_92,c_0_14]) ).
cnf(c_0_95,negated_conjecture,
complement(join(complement(esk2_0),complement(converse(complement(esk1_0))))) = esk2_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_93]),c_0_33]),c_0_74]),c_0_14]) ).
cnf(c_0_96,negated_conjecture,
join(esk2_0,converse(complement(esk1_0))) = converse(complement(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_14]) ).
cnf(c_0_97,plain,
complement(join(complement(X1),complement(join(complement(X2),X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_85]),c_0_33]),c_0_33]),c_0_74]),c_0_14]) ).
cnf(c_0_98,negated_conjecture,
join(complement(esk1_0),converse(esk2_0)) = complement(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_96]),c_0_67]),c_0_67]),c_0_14]) ).
cnf(c_0_99,negated_conjecture,
complement(join(esk1_0,complement(converse(esk2_0)))) = converse(esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_33]),c_0_14]) ).
cnf(c_0_100,negated_conjecture,
join(esk1_0,complement(converse(esk2_0))) = complement(converse(esk2_0)),
inference(spm,[status(thm)],[c_0_33,c_0_99]) ).
cnf(c_0_101,plain,
join(converse(complement(join(complement(X1),X2))),converse(complement(join(complement(X1),complement(X2))))) = converse(X1),
inference(spm,[status(thm)],[c_0_49,c_0_17]) ).
cnf(c_0_102,negated_conjecture,
join(converse(esk1_0),converse(complement(converse(esk2_0)))) = converse(complement(converse(esk2_0))),
inference(spm,[status(thm)],[c_0_49,c_0_100]) ).
cnf(c_0_103,plain,
join(complement(join(X1,join(complement(X2),X3))),complement(join(complement(join(X1,X3)),complement(X2)))) = X2,
inference(spm,[status(thm)],[c_0_22,c_0_38]) ).
cnf(c_0_104,plain,
join(converse(complement(join(X1,complement(X2)))),converse(complement(join(complement(X2),complement(X1))))) = converse(X2),
inference(spm,[status(thm)],[c_0_101,c_0_14]) ).
cnf(c_0_105,negated_conjecture,
complement(join(complement(converse(esk1_0)),complement(converse(complement(converse(esk2_0)))))) = converse(esk1_0),
inference(spm,[status(thm)],[c_0_77,c_0_102]) ).
cnf(c_0_106,plain,
complement(join(complement(X1),complement(join(X2,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_103,c_0_36]),c_0_42]),c_0_33]),c_0_33]),c_0_74]),c_0_14]) ).
cnf(c_0_107,negated_conjecture,
join(esk2_0,converse(complement(join(complement(esk1_0),complement(converse(esk2_0)))))) = esk2_0,
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_100]),c_0_33]),c_0_67]),c_0_67]),c_0_14]) ).
cnf(c_0_108,negated_conjecture,
join(complement(esk2_0),converse(esk1_0)) = complement(esk2_0),
inference(rw,[status(thm)],[c_0_66,c_0_70]) ).
cnf(c_0_109,negated_conjecture,
join(X1,join(converse(esk1_0),complement(X1))) = complement(zero),
inference(spm,[status(thm)],[c_0_85,c_0_105]) ).
cnf(c_0_110,negated_conjecture,
complement(join(complement(esk2_0),complement(converse(complement(join(complement(esk1_0),complement(converse(esk2_0)))))))) = converse(complement(join(complement(esk1_0),complement(converse(esk2_0))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_14]) ).
cnf(c_0_111,negated_conjecture,
join(converse(esk1_0),converse(complement(join(complement(esk1_0),complement(converse(esk2_0)))))) = converse(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_98]),c_0_33]) ).
cnf(c_0_112,negated_conjecture,
join(complement(esk2_0),join(X1,converse(esk1_0))) = join(X1,complement(esk2_0)),
inference(spm,[status(thm)],[c_0_38,c_0_108]) ).
cnf(c_0_113,negated_conjecture,
join(complement(esk2_0),complement(converse(complement(join(complement(esk1_0),complement(converse(esk2_0))))))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]),c_0_32]),c_0_112]),c_0_14]) ).
cnf(c_0_114,negated_conjecture,
meet(esk1_0,converse(esk2_0)) != zero,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_115,negated_conjecture,
converse(complement(join(complement(esk1_0),complement(converse(esk2_0))))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_113]),c_0_33]) ).
cnf(c_0_116,negated_conjecture,
complement(join(complement(esk1_0),complement(converse(esk2_0)))) != zero,
inference(rw,[status(thm)],[c_0_114,c_0_16]) ).
cnf(c_0_117,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_115]),c_0_72]),c_0_116]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL006+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n021.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 11:23:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.014 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 118
% 0.22/1.40 # Proof object clause steps : 99
% 0.22/1.40 # Proof object formula steps : 19
% 0.22/1.40 # Proof object conjectures : 36
% 0.22/1.40 # Proof object clause conjectures : 33
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 10
% 0.22/1.40 # Proof object initial formulas used : 9
% 0.22/1.40 # Proof object generating inferences : 71
% 0.22/1.40 # Proof object simplifying inferences : 111
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 14
% 0.22/1.40 # Removed by relevancy pruning/SinE : 2
% 0.22/1.40 # Initial clauses : 13
% 0.22/1.40 # Removed in clause preprocessing : 1
% 0.22/1.40 # Initial clauses in saturation : 12
% 0.22/1.40 # Processed clauses : 1190
% 0.22/1.40 # ...of these trivial : 525
% 0.22/1.40 # ...subsumed : 197
% 0.22/1.40 # ...remaining for further processing : 468
% 0.22/1.40 # Other redundant clauses eliminated : 0
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 1
% 0.22/1.40 # Backward-rewritten : 218
% 0.22/1.40 # Generated clauses : 34467
% 0.22/1.40 # ...of the previous two non-trivial : 28293
% 0.22/1.40 # Contextual simplify-reflections : 0
% 0.22/1.40 # Paramodulations : 34467
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 0
% 0.22/1.40 # Current number of processed clauses : 249
% 0.22/1.40 # Positive orientable unit clauses : 200
% 0.22/1.40 # Positive unorientable unit clauses: 48
% 0.22/1.40 # Negative unit clauses : 1
% 0.22/1.40 # Non-unit-clauses : 0
% 0.22/1.40 # Current number of unprocessed clauses: 19454
% 0.22/1.40 # ...number of literals in the above : 19454
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 220
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 0
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 0
% 0.22/1.40 # Non-unit clause-clause subsumptions : 0
% 0.22/1.40 # Unit Clause-clause subsumption calls : 348
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 2596
% 0.22/1.40 # BW rewrite match successes : 476
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 629170
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.439 s
% 0.22/1.40 # System time : 0.014 s
% 0.22/1.40 # Total time : 0.453 s
% 0.22/1.40 # Maximum resident set size: 29212 pages
%------------------------------------------------------------------------------