TSTP Solution File: REL011+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : REL011+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n012.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 19:19:09 EDT 2022
% Result : Theorem 0.38s 28.57s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 11
% Syntax : Number of formulae : 112 ( 109 unt; 0 def)
% Number of atoms : 115 ( 114 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 159 ( 8 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X1,X2,X3] :
( meet(X1,composition(converse(X2),X3)) = zero
=> meet(composition(X2,X1),X3) = zero ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
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(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(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(converse_idempotence,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
fof(c_0_11,negated_conjecture,
~ ! [X1,X2,X3] :
( meet(X1,composition(converse(X2),X3)) = zero
=> meet(composition(X2,X1),X3) = zero ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_12,plain,
! [X2] : zero = meet(X2,complement(X2)),
inference(variable_rename,[status(thm)],[def_zero]) ).
fof(c_0_13,plain,
! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet]) ).
fof(c_0_14,negated_conjecture,
( meet(esk1_0,composition(converse(esk2_0),esk3_0)) = zero
& meet(composition(esk2_0,esk1_0),esk3_0) != zero ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_15,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_16,plain,
! [X3,X4] : join(X3,X4) = join(X4,X3),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
cnf(c_0_17,plain,
zero = meet(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
meet(esk1_0,composition(converse(esk2_0),esk3_0)) = zero,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
zero = complement(join(complement(X1),complement(complement(X1)))),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
complement(join(complement(esk1_0),complement(composition(converse(esk2_0),esk3_0)))) = zero,
inference(rw,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_24,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
complement(join(zero,complement(zero))) = zero,
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,plain,
join(complement(join(complement(join(complement(X1),complement(complement(X1)))),X2)),complement(join(zero,complement(X2)))) = join(complement(X1),complement(complement(X1))),
inference(pm,[status(thm)],[c_0_24,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
join(complement(join(zero,X1)),complement(join(zero,complement(X1)))) = join(zero,complement(zero)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
join(zero,complement(join(complement(X1),complement(complement(complement(X1)))))) = X1,
inference(pm,[status(thm)],[c_0_24,c_0_22]) ).
cnf(c_0_29,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(pm,[status(thm)],[c_0_24,c_0_21]) ).
cnf(c_0_30,plain,
join(zero,complement(zero)) = join(complement(X1),complement(complement(X1))),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_26,c_0_22]),c_0_27]) ).
cnf(c_0_31,plain,
join(complement(join(complement(X1),complement(complement(complement(X1))))),zero) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_28]) ).
cnf(c_0_32,plain,
join(complement(join(X1,complement(complement(X1)))),zero) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_29,c_0_30]),c_0_25]),c_0_21]) ).
cnf(c_0_33,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_34,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_35,plain,
zero = complement(join(X1,complement(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_33]),c_0_21]) ).
cnf(c_0_36,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_37,negated_conjecture,
join(zero,complement(join(zero,complement(complement(zero))))) = join(zero,complement(zero)),
inference(spm,[status(thm)],[c_0_28,c_0_25]) ).
cnf(c_0_38,plain,
join(zero,complement(join(X1,complement(complement(X1))))) = complement(X1),
inference(spm,[status(thm)],[c_0_21,c_0_32]) ).
cnf(c_0_39,plain,
zero = complement(join(X1,join(X2,complement(join(X1,X2))))),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
join(zero,complement(zero)) = complement(zero),
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,plain,
complement(join(complement(join(complement(X1),complement(complement(X1)))),complement(zero))) = zero,
inference(pm,[status(thm)],[c_0_22,c_0_22]) ).
cnf(c_0_42,plain,
complement(join(X1,join(X2,complement(join(X2,X1))))) = zero,
inference(pm,[status(thm)],[c_0_39,c_0_21]) ).
cnf(c_0_43,plain,
complement(zero) = join(X1,complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_40]),c_0_33]),c_0_21]) ).
cnf(c_0_44,plain,
complement(join(complement(zero),complement(join(complement(X1),complement(complement(X1)))))) = zero,
inference(pm,[status(thm)],[c_0_41,c_0_21]) ).
cnf(c_0_45,plain,
complement(join(complement(X1),join(X1,zero))) = zero,
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_42,c_0_43]),c_0_33]) ).
cnf(c_0_46,plain,
join(complement(join(complement(X1),complement(X1))),zero) = X1,
inference(pm,[status(thm)],[c_0_24,c_0_22]) ).
cnf(c_0_47,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_21,c_0_36]) ).
cnf(c_0_48,plain,
complement(join(complement(zero),complement(join(X1,complement(X1))))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_33]),c_0_21]) ).
cnf(c_0_49,plain,
complement(join(X1,join(complement(X1),complement(X1)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_33]),c_0_36]),c_0_21]),c_0_47]) ).
cnf(c_0_50,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_24]),c_0_47]),c_0_21]),c_0_21]) ).
cnf(c_0_51,plain,
join(complement(zero),complement(join(X1,complement(X1)))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_48]),c_0_27]),c_0_40]) ).
fof(c_0_52,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_53,plain,
complement(join(X1,join(X1,complement(X1)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_33]),c_0_47]),c_0_21]) ).
cnf(c_0_54,plain,
join(complement(zero),complement(join(complement(zero),complement(zero)))) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_33]),c_0_33]),c_0_21]),c_0_43]) ).
cnf(c_0_55,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_56,plain,
complement(join(X1,complement(zero))) = zero,
inference(pm,[status(thm)],[c_0_53,c_0_43]) ).
cnf(c_0_57,plain,
complement(join(complement(zero),complement(zero))) = zero,
inference(spm,[status(thm)],[c_0_39,c_0_54]) ).
fof(c_0_58,plain,
! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
inference(variable_rename,[status(thm)],[converse_multiplicativity]) ).
fof(c_0_59,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_60,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[converse_additivity]) ).
cnf(c_0_61,negated_conjecture,
join(zero,complement(join(zero,zero))) = join(zero,complement(zero)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_25]),c_0_21]) ).
cnf(c_0_62,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_55,c_0_21]) ).
cnf(c_0_63,plain,
join(complement(join(X1,X1)),zero) = complement(X1),
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_64,plain,
join(X1,complement(zero)) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_56]),c_0_27]),c_0_43]) ).
cnf(c_0_65,plain,
complement(join(X1,join(complement(X1),zero))) = zero,
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_45,c_0_21]),c_0_47]) ).
cnf(c_0_66,plain,
join(zero,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_57]),c_0_33]),c_0_21]),c_0_43]),c_0_33]) ).
cnf(c_0_67,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_68,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_69,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_70,plain,
! [X2] : converse(converse(X2)) = X2,
inference(variable_rename,[status(thm)],[converse_idempotence]) ).
cnf(c_0_71,negated_conjecture,
join(complement(esk1_0),complement(composition(converse(esk2_0),esk3_0))) = join(zero,complement(zero)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_23]),c_0_21]),c_0_61]) ).
cnf(c_0_72,plain,
join(complement(X1),join(composition(converse(X2),complement(composition(X2,X1))),X3)) = join(complement(X1),X3),
inference(spm,[status(thm)],[c_0_36,c_0_62]) ).
cnf(c_0_73,plain,
join(X1,zero) = join(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_63]),c_0_33]),c_0_64]),c_0_33]) ).
cnf(c_0_74,plain,
complement(join(X1,join(X1,join(complement(X1),zero)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_65,c_0_53]),c_0_66]),c_0_36]),c_0_36]) ).
cnf(c_0_75,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_67,c_0_68]),c_0_69]),c_0_67]),c_0_67]),c_0_69]) ).
cnf(c_0_76,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_77,negated_conjecture,
join(complement(esk1_0),complement(composition(converse(esk2_0),esk3_0))) = complement(zero),
inference(rw,[status(thm)],[c_0_71,c_0_40]) ).
cnf(c_0_78,negated_conjecture,
complement(complement(zero)) = zero,
inference(rw,[status(thm)],[c_0_25,c_0_40]) ).
cnf(c_0_79,plain,
join(complement(X1),zero) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_72,c_0_73]),c_0_72]),c_0_62]) ).
cnf(c_0_80,plain,
join(complement(join(complement(X1),X2)),join(complement(join(complement(X1),complement(X2))),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_36,c_0_24]) ).
cnf(c_0_81,plain,
complement(join(X1,join(zero,join(X1,complement(X1))))) = zero,
inference(pm,[status(thm)],[c_0_74,c_0_47]) ).
cnf(c_0_82,plain,
join(X1,complement(X1)) = join(X2,complement(X2)),
inference(pm,[status(thm)],[c_0_43,c_0_43]) ).
cnf(c_0_83,plain,
composition(converse(X1),join(converse(X2),X3)) = join(composition(converse(X1),converse(X2)),composition(converse(X1),X3)),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_84,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(pm,[status(thm)],[c_0_24,c_0_21]) ).
cnf(c_0_85,negated_conjecture,
join(zero,complement(join(esk1_0,complement(composition(converse(esk2_0),esk3_0))))) = composition(converse(esk2_0),esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_77]),c_0_78]),c_0_21]),c_0_21]) ).
cnf(c_0_86,plain,
join(zero,complement(join(X1,X1))) = complement(X1),
inference(rw,[status(thm)],[c_0_38,c_0_33]) ).
cnf(c_0_87,plain,
complement(join(X1,X1)) = complement(X1),
inference(rw,[status(thm)],[c_0_63,c_0_79]) ).
cnf(c_0_88,plain,
join(X1,zero) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_79]),c_0_24]) ).
cnf(c_0_89,plain,
complement(join(X1,join(zero,join(X2,complement(X2))))) = zero,
inference(pm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_90,plain,
composition(converse(X1),join(X2,X3)) = join(composition(converse(X1),X2),composition(converse(X1),X3)),
inference(spm,[status(thm)],[c_0_83,c_0_76]) ).
cnf(c_0_91,negated_conjecture,
join(esk1_0,complement(composition(converse(esk2_0),esk3_0))) = join(zero,complement(composition(converse(esk2_0),esk3_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_64]),c_0_33]),c_0_21]) ).
cnf(c_0_92,plain,
join(zero,complement(X1)) = complement(X1),
inference(rw,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_93,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[c_0_73,c_0_88]) ).
cnf(c_0_94,plain,
complement(join(X1,join(complement(X1),join(X2,zero)))) = zero,
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_89,c_0_47]),c_0_36]) ).
cnf(c_0_95,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_36,c_0_21]),c_0_36]) ).
cnf(c_0_96,plain,
composition(X1,join(X2,X3)) = join(composition(X1,X2),composition(X1,X3)),
inference(spm,[status(thm)],[c_0_90,c_0_76]) ).
cnf(c_0_97,negated_conjecture,
join(esk1_0,complement(composition(converse(esk2_0),esk3_0))) = complement(composition(converse(esk2_0),esk3_0)),
inference(rw,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_98,plain,
join(X1,complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_93]),c_0_24]) ).
cnf(c_0_99,plain,
complement(join(X1,join(complement(X1),X2))) = zero,
inference(rw,[status(thm)],[c_0_94,c_0_88]) ).
cnf(c_0_100,plain,
join(complement(X1),join(X2,composition(converse(X3),complement(composition(X3,X1))))) = join(X2,complement(X1)),
inference(spm,[status(thm)],[c_0_95,c_0_62]) ).
cnf(c_0_101,negated_conjecture,
join(composition(X1,esk1_0),composition(X1,complement(composition(converse(esk2_0),esk3_0)))) = composition(X1,complement(composition(converse(esk2_0),esk3_0))),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_102,plain,
join(complement(X1),composition(X2,complement(composition(converse(X2),X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_62,c_0_76]) ).
cnf(c_0_103,plain,
join(X1,complement(join(complement(X2),complement(X1)))) = X1,
inference(pm,[status(thm)],[c_0_98,c_0_21]) ).
cnf(c_0_104,plain,
complement(join(complement(X1),complement(join(X1,X2)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_29,c_0_99]),c_0_33]),c_0_92]),c_0_21]) ).
cnf(c_0_105,negated_conjecture,
join(composition(esk2_0,esk1_0),complement(esk3_0)) = complement(esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_76]),c_0_102]),c_0_76]) ).
cnf(c_0_106,negated_conjecture,
meet(composition(esk2_0,esk1_0),esk3_0) != zero,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_107,plain,
join(complement(X1),complement(join(complement(X1),X2))) = join(complement(X1),complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_24]),c_0_95]),c_0_21]),c_0_103]),c_0_21]) ).
cnf(c_0_108,negated_conjecture,
complement(join(complement(composition(esk2_0,esk1_0)),esk3_0)) = composition(esk2_0,esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_33]) ).
cnf(c_0_109,negated_conjecture,
complement(join(complement(composition(esk2_0,esk1_0)),complement(esk3_0))) != zero,
inference(rw,[status(thm)],[c_0_106,c_0_18]) ).
cnf(c_0_110,negated_conjecture,
join(complement(composition(esk2_0,esk1_0)),complement(esk3_0)) = complement(zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_21]),c_0_43]) ).
cnf(c_0_111,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110]),c_0_33])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL011+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 08:57:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.36/23.40 eprover: CPU time limit exceeded, terminating
% 0.36/23.41 eprover: CPU time limit exceeded, terminating
% 0.36/23.41 eprover: CPU time limit exceeded, terminating
% 0.36/23.42 eprover: CPU time limit exceeded, terminating
% 0.38/28.57 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.38/28.57
% 0.38/28.57 # Failure: Resource limit exceeded (time)
% 0.38/28.57 # OLD status Res
% 0.38/28.57 # Preprocessing time : 0.014 s
% 0.38/28.57 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.38/28.57 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.38/28.57 # Preprocessing time : 0.008 s
% 0.38/28.57
% 0.38/28.57 # Proof found!
% 0.38/28.57 # SZS status Theorem
% 0.38/28.57 # SZS output start CNFRefutation
% See solution above
% 0.38/28.57 # Proof object total steps : 112
% 0.38/28.57 # Proof object clause steps : 89
% 0.38/28.57 # Proof object formula steps : 23
% 0.38/28.57 # Proof object conjectures : 23
% 0.38/28.57 # Proof object clause conjectures : 20
% 0.38/28.57 # Proof object formula conjectures : 3
% 0.38/28.57 # Proof object initial clauses used : 12
% 0.38/28.57 # Proof object initial formulas used : 11
% 0.38/28.57 # Proof object generating inferences : 57
% 0.38/28.57 # Proof object simplifying inferences : 90
% 0.38/28.57 # Training examples: 0 positive, 0 negative
% 0.38/28.57 # Parsed axioms : 14
% 0.38/28.57 # Removed by relevancy pruning/SinE : 2
% 0.38/28.57 # Initial clauses : 13
% 0.38/28.57 # Removed in clause preprocessing : 1
% 0.38/28.57 # Initial clauses in saturation : 12
% 0.38/28.57 # Processed clauses : 5447
% 0.38/28.57 # ...of these trivial : 2324
% 0.38/28.57 # ...subsumed : 1668
% 0.38/28.57 # ...remaining for further processing : 1455
% 0.38/28.57 # Other redundant clauses eliminated : 0
% 0.38/28.57 # Clauses deleted for lack of memory : 42612
% 0.38/28.57 # Backward-subsumed : 10
% 0.38/28.57 # Backward-rewritten : 774
% 0.38/28.57 # Generated clauses : 239666
% 0.38/28.57 # ...of the previous two non-trivial : 212848
% 0.38/28.57 # Contextual simplify-reflections : 0
% 0.38/28.57 # Paramodulations : 239666
% 0.38/28.57 # Factorizations : 0
% 0.38/28.57 # Equation resolutions : 0
% 0.38/28.57 # Current number of processed clauses : 671
% 0.38/28.57 # Positive orientable unit clauses : 594
% 0.38/28.57 # Positive unorientable unit clauses: 77
% 0.38/28.57 # Negative unit clauses : 0
% 0.38/28.57 # Non-unit-clauses : 0
% 0.38/28.57 # Current number of unprocessed clauses: 97862
% 0.38/28.57 # ...number of literals in the above : 97862
% 0.38/28.57 # Current number of archived formulas : 0
% 0.38/28.57 # Current number of archived clauses : 785
% 0.38/28.57 # Clause-clause subsumption calls (NU) : 0
% 0.38/28.57 # Rec. Clause-clause subsumption calls : 0
% 0.38/28.57 # Non-unit clause-clause subsumptions : 0
% 0.38/28.57 # Unit Clause-clause subsumption calls : 1912
% 0.38/28.57 # Rewrite failures with RHS unbound : 1037
% 0.38/28.57 # BW rewrite match attempts : 11571
% 0.38/28.57 # BW rewrite match successes : 1117
% 0.38/28.57 # Condensation attempts : 0
% 0.38/28.57 # Condensation successes : 0
% 0.38/28.57 # Termbank termtop insertions : 6078018
% 0.38/28.57
% 0.38/28.57 # -------------------------------------------------
% 0.38/28.57 # User time : 4.722 s
% 0.38/28.57 # System time : 0.096 s
% 0.38/28.57 # Total time : 4.818 s
% 0.38/28.57 # Maximum resident set size: 146548 pages
% 0.38/46.42 eprover: CPU time limit exceeded, terminating
% 0.38/46.43 eprover: CPU time limit exceeded, terminating
% 0.38/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.44 eprover: No such file or directory
% 0.38/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.44 eprover: No such file or directory
% 0.38/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.38/46.45 eprover: No such file or directory
% 0.38/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.38/46.45 eprover: No such file or directory
% 0.38/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.45 eprover: No such file or directory
% 0.38/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.38/46.45 eprover: No such file or directory
% 0.38/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.46 eprover: No such file or directory
% 0.38/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.38/46.46 eprover: No such file or directory
% 0.38/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.46 eprover: No such file or directory
% 0.38/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.38/46.46 eprover: No such file or directory
% 0.38/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.46 eprover: No such file or directory
% 0.38/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.38/46.47 eprover: No such file or directory
% 0.38/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.47 eprover: No such file or directory
% 0.38/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.38/46.48 eprover: No such file or directory
% 0.38/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.48 eprover: No such file or directory
% 0.38/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.38/46.48 eprover: No such file or directory
% 0.38/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.48 eprover: No such file or directory
% 0.38/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.38/46.49 eprover: No such file or directory
% 0.38/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.38/46.49 eprover: No such file or directory
% 0.38/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.38/46.49 eprover: No such file or directory
% 0.38/46.50 eprover: CPU time limit exceeded, terminating
% 0.38/46.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.38/46.51 eprover: No such file or directory
% 0.38/46.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.38/46.52 eprover: No such file or directory
% 0.38/46.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.38/46.52 eprover: No such file or directory
% 0.38/46.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.38/46.52 eprover: No such file or directory
% 0.38/46.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.38/46.53 eprover: No such file or directory
% 0.38/46.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.38/46.53 eprover: No such file or directory
% 0.38/46.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.38/46.53 eprover: No such file or directory
% 0.38/46.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.38/46.54 eprover: No such file or directory
% 0.38/46.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.38/46.54 eprover: No such file or directory
% 0.38/46.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.38/46.54 eprover: No such file or directory
%------------------------------------------------------------------------------