TSTP Solution File: KLE012+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KLE012+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 : Sun Jul 17 01:55:18 EDT 2022
% Result : Theorem 0.48s 34.68s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 14
% Syntax : Number of formulae : 125 ( 80 unt; 0 def)
% Number of atoms : 197 ( 125 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 130 ( 58 ~; 55 |; 11 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 159 ( 12 sgn 57 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(test_2,axiom,
! [X4,X5] :
( complement(X5,X4)
<=> ( multiplication(X4,X5) = zero
& multiplication(X5,X4) = zero
& addition(X4,X5) = one ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
fof(test_1,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_1) ).
fof(right_distributivity,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(goals,conjecture,
! [X4,X5] :
( ( test(X5)
& test(X4) )
=> multiplication(X4,X5) = multiplication(X5,X4) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(test_3,axiom,
! [X4,X5] :
( test(X4)
=> ( c(X4) = X5
<=> complement(X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_3) ).
fof(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(left_distributivity,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(c_0_14,plain,
! [X6,X7,X6,X7] :
( ( multiplication(X6,X7) = zero
| ~ complement(X7,X6) )
& ( multiplication(X7,X6) = zero
| ~ complement(X7,X6) )
& ( addition(X6,X7) = one
| ~ complement(X7,X6) )
& ( multiplication(X6,X7) != zero
| multiplication(X7,X6) != zero
| addition(X6,X7) != one
| complement(X7,X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_2])])])])]) ).
fof(c_0_15,plain,
! [X6,X6,X8] :
( ( ~ test(X6)
| complement(esk3_1(X6),X6) )
& ( ~ complement(X8,X6)
| test(X6) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_1])])])])])]) ).
fof(c_0_16,plain,
! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
cnf(c_0_17,plain,
( multiplication(X2,X1) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
( complement(esk3_1(X1),X1)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_19,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[additive_identity]) ).
cnf(c_0_20,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( multiplication(X1,esk3_1(X1)) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
( addition(X2,X1) = one
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_24,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_25,negated_conjecture,
~ ! [X4,X5] :
( ( test(X5)
& test(X4) )
=> multiplication(X4,X5) = multiplication(X5,X4) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_26,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_27,plain,
( multiplication(X1,addition(X2,esk3_1(X1))) = multiplication(X1,X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_28,plain,
( addition(X1,esk3_1(X1)) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_18]) ).
cnf(c_0_29,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_30,negated_conjecture,
( test(esk2_0)
& test(esk1_0)
& multiplication(esk1_0,esk2_0) != multiplication(esk2_0,esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
cnf(c_0_31,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
( multiplication(X1,X1) = X1
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_33,negated_conjecture,
test(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,plain,
( multiplication(X1,multiplication(X2,esk3_1(multiplication(X1,X2)))) = zero
| ~ test(multiplication(X1,X2)) ),
inference(spm,[status(thm)],[c_0_31,c_0_21]) ).
cnf(c_0_35,negated_conjecture,
multiplication(esk1_0,esk1_0) = esk1_0,
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(one,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_29]) ).
cnf(c_0_37,negated_conjecture,
multiplication(esk1_0,multiplication(esk1_0,esk3_1(esk1_0))) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_33])]) ).
fof(c_0_38,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
cnf(c_0_39,negated_conjecture,
multiplication(esk1_0,addition(one,multiplication(esk1_0,esk3_1(esk1_0)))) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_22]) ).
fof(c_0_40,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_41,plain,
( complement(X1,X2)
| addition(X2,X1) != one
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_42,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_43,plain,
( multiplication(X1,X2) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_44,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
cnf(c_0_45,negated_conjecture,
multiplication(esk1_0,multiplication(addition(one,multiplication(esk1_0,esk3_1(esk1_0))),esk3_1(esk1_0))) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_39]),c_0_33])]) ).
cnf(c_0_46,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_47,plain,
! [X2] : multiplication(zero,X2) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
fof(c_0_48,plain,
! [X6,X7,X7] :
( ( c(X6) != X7
| complement(X6,X7)
| ~ test(X6) )
& ( ~ complement(X6,X7)
| c(X6) = X7
| ~ test(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_3])])])])]) ).
cnf(c_0_49,plain,
( complement(X1,X2)
| addition(X1,X2) != one
| multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero ),
inference(pm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_50,plain,
( multiplication(esk3_1(X1),X1) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_18]) ).
cnf(c_0_51,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,negated_conjecture,
multiplication(esk1_0,esk3_1(esk1_0)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_21]),c_0_22]),c_0_46]),c_0_33])]) ).
cnf(c_0_53,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,plain,
( c(X1) = X2
| ~ test(X1)
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,plain,
( complement(X1,esk3_1(X1))
| ~ test(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_28]),c_0_21]),c_0_50]) ).
cnf(c_0_56,plain,
addition(multiplication(X1,addition(X2,X3)),X4) = addition(multiplication(X1,X2),addition(multiplication(X1,X3),X4)),
inference(spm,[status(thm)],[c_0_51,c_0_20]) ).
cnf(c_0_57,negated_conjecture,
multiplication(esk1_0,multiplication(esk3_1(esk1_0),X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_52]),c_0_53]) ).
cnf(c_0_58,plain,
( esk3_1(X1) = c(X1)
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,plain,
( addition(multiplication(X1,X2),addition(multiplication(X1,X3),esk3_1(multiplication(X1,addition(X2,X3))))) = one
| ~ test(multiplication(X1,addition(X2,X3))) ),
inference(spm,[status(thm)],[c_0_28,c_0_56]) ).
cnf(c_0_60,negated_conjecture,
multiplication(esk1_0,addition(one,multiplication(esk3_1(esk1_0),X1))) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_57]),c_0_22]) ).
cnf(c_0_61,plain,
addition(zero,X1) = X1,
inference(pm,[status(thm)],[c_0_22,c_0_42]) ).
cnf(c_0_62,plain,
( multiplication(esk3_1(X1),multiplication(X1,X2)) = zero
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_50]),c_0_53]) ).
fof(c_0_63,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
cnf(c_0_64,negated_conjecture,
multiplication(esk1_0,c(esk1_0)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_58]),c_0_33])]) ).
cnf(c_0_65,negated_conjecture,
addition(esk1_0,esk3_1(esk1_0)) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_29]),c_0_57]),c_0_61]),c_0_33])]) ).
cnf(c_0_66,negated_conjecture,
multiplication(esk3_1(esk1_0),esk1_0) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_35]),c_0_33])]) ).
cnf(c_0_67,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_68,plain,
! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
cnf(c_0_69,negated_conjecture,
multiplication(esk1_0,multiplication(c(esk1_0),X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_64]),c_0_53]) ).
cnf(c_0_70,negated_conjecture,
complement(esk1_0,esk3_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_65]),c_0_66]),c_0_52])]) ).
cnf(c_0_71,plain,
( test(X1)
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_72,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_51,c_0_67]) ).
cnf(c_0_73,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_74,negated_conjecture,
multiplication(esk1_0,addition(one,multiplication(c(esk1_0),X1))) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_69]),c_0_22]) ).
cnf(c_0_75,negated_conjecture,
esk3_1(esk1_0) = c(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_70]),c_0_33])]) ).
cnf(c_0_76,plain,
( test(esk3_1(X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_55]) ).
cnf(c_0_77,plain,
( addition(X1,one) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_28]) ).
cnf(c_0_78,negated_conjecture,
test(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_79,plain,
( multiplication(addition(X1,X2),esk3_1(X2)) = multiplication(X1,esk3_1(X2))
| ~ test(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_21]),c_0_22]) ).
cnf(c_0_80,negated_conjecture,
addition(esk1_0,c(esk1_0)) = one,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_74]),c_0_29]),c_0_69]),c_0_61]),c_0_33])]),c_0_75]) ).
cnf(c_0_81,negated_conjecture,
test(c(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_75]),c_0_33])]) ).
cnf(c_0_82,negated_conjecture,
addition(one,esk2_0) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_42]) ).
cnf(c_0_83,plain,
( complement(X1,X2)
| ~ test(X1)
| c(X1) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_84,negated_conjecture,
multiplication(esk1_0,esk3_1(c(esk1_0))) = esk3_1(c(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_46]),c_0_81])]) ).
cnf(c_0_85,negated_conjecture,
addition(X1,multiplication(X1,esk2_0)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_82]),c_0_29]) ).
cnf(c_0_86,plain,
( complement(X1,c(X1))
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_83]) ).
cnf(c_0_87,negated_conjecture,
multiplication(c(esk1_0),esk3_1(c(esk1_0))) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_84]),c_0_75]),c_0_33])]) ).
cnf(c_0_88,plain,
( c(esk3_1(X1)) = X1
| ~ test(esk3_1(X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_18]) ).
cnf(c_0_89,negated_conjecture,
addition(X1,addition(X2,multiplication(addition(X1,X2),esk2_0))) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_51,c_0_85]) ).
cnf(c_0_90,plain,
( multiplication(c(X1),X1) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_86]) ).
cnf(c_0_91,negated_conjecture,
multiplication(c(esk1_0),addition(one,esk3_1(c(esk1_0)))) = c(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_87]),c_0_22]) ).
cnf(c_0_92,negated_conjecture,
( c(c(esk1_0)) = esk1_0
| ~ test(c(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_75]),c_0_33])]) ).
cnf(c_0_93,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_46]),c_0_42]) ).
cnf(c_0_94,negated_conjecture,
multiplication(esk1_0,addition(one,esk3_1(esk1_0))) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_52]),c_0_22]) ).
cnf(c_0_95,negated_conjecture,
addition(one,esk1_0) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_33]),c_0_42]) ).
cnf(c_0_96,plain,
( multiplication(X1,addition(esk3_1(X1),X2)) = multiplication(X1,X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_61]) ).
cnf(c_0_97,plain,
( multiplication(addition(X1,X2),esk3_1(X1)) = multiplication(X2,esk3_1(X1))
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_21]),c_0_61]) ).
cnf(c_0_98,negated_conjecture,
addition(esk1_0,addition(esk2_0,c(esk1_0))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_80]),c_0_46]),c_0_42]) ).
cnf(c_0_99,plain,
( multiplication(c(X1),addition(X1,X2)) = multiplication(c(X1),X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_90]),c_0_61]) ).
cnf(c_0_100,negated_conjecture,
addition(c(esk1_0),esk3_1(c(esk1_0))) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_91]),c_0_29]),c_0_87]),c_0_61]),c_0_81])]) ).
cnf(c_0_101,negated_conjecture,
c(c(esk1_0)) = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_81])]) ).
cnf(c_0_102,negated_conjecture,
addition(one,addition(esk1_0,esk3_1(esk1_0))) = addition(one,esk3_1(esk1_0)),
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_94]),c_0_51]),c_0_42]),c_0_95]),c_0_46]),c_0_42]) ).
cnf(c_0_103,plain,
( addition(multiplication(X1,esk3_1(X2)),multiplication(addition(X1,X2),X3)) = multiplication(addition(X1,X2),addition(esk3_1(X2),X3))
| ~ test(X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_96]),c_0_56]),c_0_73]) ).
cnf(c_0_104,negated_conjecture,
multiplication(addition(esk2_0,c(esk1_0)),c(esk1_0)) = c(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_46]),c_0_75]),c_0_75]),c_0_33])]) ).
cnf(c_0_105,negated_conjecture,
esk3_1(c(esk1_0)) = esk1_0,
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(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]),c_0_29]),c_0_101]),c_0_84]),c_0_81])]) ).
cnf(c_0_106,plain,
( multiplication(addition(esk3_1(X1),X2),X1) = multiplication(X2,X1)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_50]),c_0_61]) ).
cnf(c_0_107,plain,
addition(multiplication(addition(X1,X2),X3),X4) = addition(multiplication(X1,X3),addition(multiplication(X2,X3),X4)),
inference(spm,[status(thm)],[c_0_51,c_0_73]) ).
cnf(c_0_108,negated_conjecture,
multiplication(c(esk1_0),addition(esk2_0,c(esk1_0))) = c(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_98]),c_0_29]),c_0_33])]) ).
cnf(c_0_109,plain,
( multiplication(c(X1),multiplication(X1,X2)) = zero
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_90]),c_0_53]) ).
cnf(c_0_110,negated_conjecture,
addition(one,esk3_1(esk1_0)) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_28]),c_0_67]),c_0_33])]) ).
cnf(c_0_111,plain,
( multiplication(X1,c(X1)) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_86]) ).
cnf(c_0_112,plain,
( multiplication(esk3_1(X1),addition(X2,X1)) = multiplication(esk3_1(X1),X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_50]),c_0_22]) ).
cnf(c_0_113,negated_conjecture,
addition(multiplication(esk2_0,esk1_0),c(esk1_0)) = addition(esk2_0,c(esk1_0)),
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(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]),c_0_105]),c_0_80]),c_0_29]),c_0_81])]) ).
cnf(c_0_114,plain,
( addition(multiplication(esk3_1(X1),X2),multiplication(X3,addition(X2,X1))) = multiplication(addition(esk3_1(X1),X3),addition(X2,X1))
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_106]),c_0_107]),c_0_20]) ).
cnf(c_0_115,negated_conjecture,
multiplication(c(esk1_0),multiplication(addition(esk2_0,c(esk1_0)),esk1_0)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_108]),c_0_105]),c_0_81])]) ).
cnf(c_0_116,negated_conjecture,
multiplication(c(esk1_0),esk1_0) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_35]),c_0_33])]) ).
cnf(c_0_117,negated_conjecture,
addition(one,c(esk1_0)) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_58]),c_0_33])]) ).
cnf(c_0_118,plain,
( multiplication(X1,addition(X2,c(X1))) = multiplication(X1,X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_111]),c_0_22]) ).
cnf(c_0_119,negated_conjecture,
multiplication(esk1_0,addition(esk2_0,c(esk1_0))) = multiplication(esk1_0,multiplication(esk2_0,esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_105]),c_0_105]),c_0_81])]) ).
cnf(c_0_120,negated_conjecture,
addition(multiplication(esk1_0,esk2_0),c(esk1_0)) = addition(esk2_0,c(esk1_0)),
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(spm,[status(thm)],[c_0_114,c_0_108]),c_0_105]),c_0_105]),c_0_80]),c_0_46]),c_0_81])]) ).
cnf(c_0_121,negated_conjecture,
multiplication(addition(esk2_0,c(esk1_0)),esk1_0) = multiplication(esk2_0,esk1_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(spm,[status(thm)],[c_0_93,c_0_115]),c_0_107]),c_0_116]),c_0_22]),c_0_22]),c_0_42]),c_0_117]),c_0_46]) ).
cnf(c_0_122,negated_conjecture,
multiplication(esk1_0,multiplication(esk2_0,esk1_0)) = multiplication(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_33])]) ).
cnf(c_0_123,negated_conjecture,
multiplication(esk1_0,esk2_0) != multiplication(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_124,negated_conjecture,
$false,
inference(sr,[status(thm)],[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(spm,[status(thm)],[c_0_79,c_0_120]),c_0_105]),c_0_121]),c_0_105]),c_0_31]),c_0_122]),c_0_81])]),c_0_123]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE012+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n022.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 : Thu Jun 16 13:58:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.41/23.41 eprover: CPU time limit exceeded, terminating
% 0.41/23.42 eprover: CPU time limit exceeded, terminating
% 0.41/23.44 eprover: CPU time limit exceeded, terminating
% 0.41/23.47 eprover: CPU time limit exceeded, terminating
% 0.48/34.68 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.48/34.68
% 0.48/34.68 # Failure: Resource limit exceeded (time)
% 0.48/34.68 # OLD status Res
% 0.48/34.68 # Preprocessing time : 0.015 s
% 0.48/34.68 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.48/34.68 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.48/34.68 # Preprocessing time : 0.015 s
% 0.48/34.68
% 0.48/34.68 # Proof found!
% 0.48/34.68 # SZS status Theorem
% 0.48/34.68 # SZS output start CNFRefutation
% See solution above
% 0.48/34.68 # Proof object total steps : 125
% 0.48/34.68 # Proof object clause steps : 96
% 0.48/34.68 # Proof object formula steps : 29
% 0.48/34.68 # Proof object conjectures : 48
% 0.48/34.68 # Proof object clause conjectures : 45
% 0.48/34.68 # Proof object formula conjectures : 3
% 0.48/34.68 # Proof object initial clauses used : 21
% 0.48/34.68 # Proof object initial formulas used : 14
% 0.48/34.68 # Proof object generating inferences : 74
% 0.48/34.68 # Proof object simplifying inferences : 137
% 0.48/34.68 # Training examples: 0 positive, 0 negative
% 0.48/34.68 # Parsed axioms : 17
% 0.48/34.68 # Removed by relevancy pruning/SinE : 1
% 0.48/34.68 # Initial clauses : 23
% 0.48/34.68 # Removed in clause preprocessing : 0
% 0.48/34.68 # Initial clauses in saturation : 23
% 0.48/34.68 # Processed clauses : 9846
% 0.48/34.68 # ...of these trivial : 452
% 0.48/34.68 # ...subsumed : 7826
% 0.48/34.68 # ...remaining for further processing : 1568
% 0.48/34.68 # Other redundant clauses eliminated : 3
% 0.48/34.68 # Clauses deleted for lack of memory : 228309
% 0.48/34.68 # Backward-subsumed : 288
% 0.48/34.68 # Backward-rewritten : 197
% 0.48/34.68 # Generated clauses : 417951
% 0.48/34.68 # ...of the previous two non-trivial : 390156
% 0.48/34.68 # Contextual simplify-reflections : 2551
% 0.48/34.68 # Paramodulations : 417926
% 0.48/34.68 # Factorizations : 0
% 0.48/34.68 # Equation resolutions : 25
% 0.48/34.68 # Current number of processed clauses : 1083
% 0.48/34.68 # Positive orientable unit clauses : 162
% 0.48/34.68 # Positive unorientable unit clauses: 75
% 0.48/34.68 # Negative unit clauses : 6
% 0.48/34.68 # Non-unit-clauses : 840
% 0.48/34.68 # Current number of unprocessed clauses: 115256
% 0.48/34.68 # ...number of literals in the above : 322505
% 0.48/34.68 # Current number of archived formulas : 0
% 0.48/34.68 # Current number of archived clauses : 485
% 0.48/34.68 # Clause-clause subsumption calls (NU) : 360734
% 0.48/34.68 # Rec. Clause-clause subsumption calls : 274055
% 0.48/34.68 # Non-unit clause-clause subsumptions : 7534
% 0.48/34.68 # Unit Clause-clause subsumption calls : 2120
% 0.48/34.68 # Rewrite failures with RHS unbound : 0
% 0.48/34.68 # BW rewrite match attempts : 3103
% 0.48/34.68 # BW rewrite match successes : 551
% 0.48/34.68 # Condensation attempts : 0
% 0.48/34.68 # Condensation successes : 0
% 0.48/34.68 # Termbank termtop insertions : 10242907
% 0.48/34.68
% 0.48/34.68 # -------------------------------------------------
% 0.48/34.68 # User time : 10.607 s
% 0.48/34.68 # System time : 0.114 s
% 0.48/34.68 # Total time : 10.721 s
% 0.48/34.68 # Maximum resident set size: 147424 pages
% 0.48/46.43 eprover: CPU time limit exceeded, terminating
% 0.48/46.44 eprover: CPU time limit exceeded, terminating
% 0.48/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.44 eprover: No such file or directory
% 0.48/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.45 eprover: No such file or directory
% 0.48/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/46.45 eprover: No such file or directory
% 0.48/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.46 eprover: No such file or directory
% 0.48/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/46.46 eprover: No such file or directory
% 0.48/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.46 eprover: No such file or directory
% 0.48/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/46.46 eprover: No such file or directory
% 0.48/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.46 eprover: No such file or directory
% 0.48/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/46.47 eprover: No such file or directory
% 0.48/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.47 eprover: No such file or directory
% 0.48/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/46.47 eprover: No such file or directory
% 0.48/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.48 eprover: No such file or directory
% 0.48/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/46.48 eprover: No such file or directory
% 0.48/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.48 eprover: No such file or directory
% 0.48/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/46.48 eprover: No such file or directory
% 0.48/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/46.49 eprover: No such file or directory
% 0.48/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.49 eprover: No such file or directory
% 0.48/46.49 eprover: CPU time limit exceeded, terminating
% 0.48/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.48/46.49 eprover: No such file or directory
% 0.48/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/46.49 eprover: No such file or directory
% 0.48/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/46.50 eprover: No such file or directory
% 0.48/46.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/46.51 eprover: No such file or directory
% 0.48/46.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/46.51 eprover: No such file or directory
% 0.48/46.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/46.52 eprover: No such file or directory
% 0.48/46.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/46.52 eprover: No such file or directory
% 0.48/46.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/46.53 eprover: No such file or directory
% 0.48/46.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/46.53 eprover: No such file or directory
% 0.48/46.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.48/46.54 eprover: No such file or directory
%------------------------------------------------------------------------------