TSTP Solution File: KLE010+4 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KLE010+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 01:55:16 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 105 ( 54 unt; 0 def)
% Number of atoms : 197 ( 112 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 171 ( 79 ~; 68 |; 15 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 135 ( 10 sgn 65 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X4,X5] :
( ( test(X5)
& test(X4) )
=> ( leq(one,addition(addition(addition(addition(multiplication(X5,X4),multiplication(c(X5),X4)),multiplication(X4,X5)),multiplication(c(X4),X5)),multiplication(c(X4),c(X5))))
& leq(addition(addition(addition(addition(multiplication(X5,X4),multiplication(c(X5),X4)),multiplication(X4,X5)),multiplication(c(X4),X5)),multiplication(c(X4),c(X5))),one) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
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_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_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
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(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(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(test_1,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_1) ).
fof(order,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
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(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(test_deMorgan2,axiom,
! [X4,X5] :
( ( test(X4)
& test(X5) )
=> c(multiplication(X4,X5)) = addition(c(X4),c(X5)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+2.ax',test_deMorgan2) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(test_4,axiom,
! [X4] :
( ~ test(X4)
=> c(X4) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_4) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(right_annihilation,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
fof(c_0_17,negated_conjecture,
~ ! [X4,X5] :
( ( test(X5)
& test(X4) )
=> ( leq(one,addition(addition(addition(addition(multiplication(X5,X4),multiplication(c(X5),X4)),multiplication(X4,X5)),multiplication(c(X4),X5)),multiplication(c(X4),c(X5))))
& leq(addition(addition(addition(addition(multiplication(X5,X4),multiplication(c(X5),X4)),multiplication(X4,X5)),multiplication(c(X4),X5)),multiplication(c(X4),c(X5))),one) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_18,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_19,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])])])])]) ).
fof(c_0_20,negated_conjecture,
( test(esk2_0)
& test(esk1_0)
& ( ~ leq(one,addition(addition(addition(addition(multiplication(esk2_0,esk1_0),multiplication(c(esk2_0),esk1_0)),multiplication(esk1_0,esk2_0)),multiplication(c(esk1_0),esk2_0)),multiplication(c(esk1_0),c(esk2_0))))
| ~ leq(addition(addition(addition(addition(multiplication(esk2_0,esk1_0),multiplication(c(esk2_0),esk1_0)),multiplication(esk1_0,esk2_0)),multiplication(c(esk1_0),esk2_0)),multiplication(c(esk1_0),c(esk2_0))),one) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_21,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_22,plain,
! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
fof(c_0_23,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
cnf(c_0_24,plain,
( addition(X2,X1) = one
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( complement(X1,X2)
| ~ test(X1)
| c(X1) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_26,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
cnf(c_0_27,negated_conjecture,
( ~ leq(addition(addition(addition(addition(multiplication(esk2_0,esk1_0),multiplication(c(esk2_0),esk1_0)),multiplication(esk1_0,esk2_0)),multiplication(c(esk1_0),esk2_0)),multiplication(c(esk1_0),c(esk2_0))),one)
| ~ leq(one,addition(addition(addition(addition(multiplication(esk2_0,esk1_0),multiplication(c(esk2_0),esk1_0)),multiplication(esk1_0,esk2_0)),multiplication(c(esk1_0),esk2_0)),multiplication(c(esk1_0),c(esk2_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
( addition(X1,X2) = one
| c(X2) != X1
| ~ test(X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_33,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_34,plain,
! [X3,X4,X3,X4] :
( ( ~ leq(X3,X4)
| addition(X3,X4) = X4 )
& ( addition(X3,X4) != X4
| leq(X3,X4) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])])])]) ).
cnf(c_0_35,negated_conjecture,
( ~ leq(one,addition(multiplication(c(esk1_0),c(esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk1_0)))))
| ~ leq(addition(multiplication(c(esk1_0),c(esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk1_0)))),one) ),
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_27,c_0_28]),c_0_28]),c_0_28]),c_0_28]),c_0_28]),c_0_28]),c_0_29]),c_0_29]) ).
cnf(c_0_36,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_30]) ).
cnf(c_0_37,plain,
( addition(X1,c(X1)) = one
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_31]),c_0_28]) ).
cnf(c_0_38,negated_conjecture,
test(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_39,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
fof(c_0_40,plain,
! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
fof(c_0_41,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
cnf(c_0_42,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_30,c_0_32]) ).
cnf(c_0_43,negated_conjecture,
test(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_44,plain,
( multiplication(X1,X2) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_45,plain,
( multiplication(X2,X1) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_46,plain,
( complement(esk3_1(X1),X1)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_47,plain,
! [X6,X7] :
( ~ test(X6)
| ~ test(X7)
| c(multiplication(X6,X7)) = addition(c(X6),c(X7)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_deMorgan2])]) ).
cnf(c_0_48,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_49,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[additive_identity]) ).
cnf(c_0_50,negated_conjecture,
( ~ leq(one,addition(multiplication(esk1_0,esk2_0),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(c(esk1_0),c(esk2_0)),multiplication(addition(esk2_0,c(esk2_0)),esk1_0)))))
| ~ leq(addition(multiplication(esk1_0,esk2_0),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(c(esk1_0),c(esk2_0)),multiplication(addition(esk2_0,c(esk2_0)),esk1_0)))),one) ),
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_35,c_0_36]),c_0_36]),c_0_36]),c_0_36]),c_0_36]),c_0_36]) ).
cnf(c_0_51,negated_conjecture,
addition(esk2_0,c(esk2_0)) = one,
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_52,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_53,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_54,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_55,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_42,c_0_28]) ).
cnf(c_0_56,negated_conjecture,
addition(esk1_0,c(esk1_0)) = one,
inference(spm,[status(thm)],[c_0_37,c_0_43]) ).
cnf(c_0_57,plain,
( multiplication(X1,X2) = zero
| c(X1) != X2
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_25]) ).
cnf(c_0_58,plain,
( multiplication(X1,X2) = zero
| c(X2) != X1
| ~ test(X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_25]) ).
cnf(c_0_59,plain,
( addition(X1,esk3_1(X1)) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_46]) ).
fof(c_0_60,plain,
! [X5] :
( test(X5)
| c(X5) = zero ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[test_4])])]) ).
cnf(c_0_61,plain,
( c(multiplication(X1,X2)) = addition(c(X1),c(X2))
| ~ test(X2)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_62,negated_conjecture,
( addition(multiplication(c(esk1_0),c(esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),addition(one,multiplication(addition(esk2_0,c(esk2_0)),esk1_0))))) != one
| ~ leq(one,addition(multiplication(c(esk1_0),c(esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk1_0))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_48]),c_0_30]),c_0_30]),c_0_30]),c_0_28]) ).
cnf(c_0_63,plain,
( test(X1)
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_64,plain,
( complement(X1,X2)
| addition(X2,X1) != one
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_65,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_66,plain,
! [X2] : multiplication(zero,X2) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
fof(c_0_67,plain,
! [X2] : multiplication(X2,zero) = zero,
inference(variable_rename,[status(thm)],[right_annihilation]) ).
cnf(c_0_68,negated_conjecture,
( ~ leq(one,addition(esk1_0,addition(multiplication(esk1_0,esk2_0),c(esk1_0))))
| ~ leq(addition(esk1_0,addition(multiplication(esk1_0,esk2_0),c(esk1_0))),one) ),
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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_28]),c_0_36]),c_0_53]),c_0_51]),c_0_54]),c_0_36]),c_0_51]),c_0_52]),c_0_28]),c_0_36]),c_0_53]),c_0_51]),c_0_54]),c_0_36]) ).
cnf(c_0_69,negated_conjecture,
addition(one,c(esk1_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_28]) ).
cnf(c_0_70,plain,
( c(X1) = X2
| ~ test(X1)
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_71,plain,
( multiplication(X1,c(X1)) = zero
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_57]) ).
cnf(c_0_72,plain,
( multiplication(c(X1),X1) = zero
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_58]) ).
cnf(c_0_73,plain,
( addition(X1,one) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_59]) ).
cnf(c_0_74,plain,
( c(X1) = zero
| test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_75,negated_conjecture,
( c(multiplication(X1,esk2_0)) = addition(c(X1),c(esk2_0))
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_38]) ).
cnf(c_0_76,negated_conjecture,
( addition(one,addition(multiplication(c(esk1_0),c(esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk1_0))))) != addition(multiplication(c(esk1_0),c(esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk1_0))))
| addition(multiplication(c(esk1_0),c(esk2_0)),addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(esk1_0,esk2_0),addition(one,multiplication(addition(esk2_0,c(esk2_0)),esk1_0))))) != one ),
inference(spm,[status(thm)],[c_0_62,c_0_48]) ).
cnf(c_0_77,plain,
( test(X1)
| addition(X1,X2) != one
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_78,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_65,c_0_28]) ).
cnf(c_0_79,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_80,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_81,negated_conjecture,
( addition(one,addition(esk1_0,multiplication(esk1_0,esk2_0))) != one
| ~ leq(one,addition(esk1_0,addition(multiplication(esk1_0,esk2_0),c(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(spm,[status(thm)],[c_0_68,c_0_48]),c_0_30]),c_0_30]),c_0_28]),c_0_69]),c_0_28]),c_0_36]) ).
cnf(c_0_82,plain,
( c(X1) = X2
| addition(X2,X1) != one
| multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_64]) ).
cnf(c_0_83,negated_conjecture,
multiplication(esk1_0,c(esk1_0)) = zero,
inference(spm,[status(thm)],[c_0_71,c_0_43]) ).
cnf(c_0_84,negated_conjecture,
multiplication(c(esk1_0),esk1_0) = zero,
inference(spm,[status(thm)],[c_0_72,c_0_43]) ).
cnf(c_0_85,plain,
( test(X1)
| c(X2) != X1
| ~ test(X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_25]) ).
cnf(c_0_86,plain,
( addition(X1,one) = one
| c(X1) = zero ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_87,negated_conjecture,
c(multiplication(esk1_0,esk2_0)) = addition(c(esk1_0),c(esk2_0)),
inference(spm,[status(thm)],[c_0_75,c_0_43]) ).
cnf(c_0_88,negated_conjecture,
addition(one,multiplication(esk1_0,esk2_0)) != one,
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)],[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)],[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)],[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_76,c_0_36]),c_0_36]),c_0_36]),c_0_36]),c_0_36]),c_0_36]),c_0_36]),c_0_36]),c_0_36]),c_0_36]),c_0_36]),c_0_36]),c_0_51]),c_0_52]),c_0_28]),c_0_36]),c_0_53]),c_0_51]),c_0_54]),c_0_56]),c_0_28]),c_0_42]),c_0_51]),c_0_52]),c_0_28]),c_0_36]),c_0_53]),c_0_51]),c_0_54]),c_0_56]),c_0_28]),c_0_51]),c_0_52]),c_0_28]),c_0_36]),c_0_53]),c_0_51]),c_0_54]),c_0_56]),c_0_28]),c_0_42])]) ).
cnf(c_0_89,plain,
( test(zero)
| X1 != one ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_80])]) ).
cnf(c_0_90,negated_conjecture,
( addition(one,addition(esk1_0,addition(multiplication(esk1_0,esk2_0),c(esk1_0)))) != addition(esk1_0,addition(multiplication(esk1_0,esk2_0),c(esk1_0)))
| addition(one,addition(esk1_0,multiplication(esk1_0,esk2_0))) != one ),
inference(spm,[status(thm)],[c_0_81,c_0_48]) ).
cnf(c_0_91,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(one,X2)),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_92,negated_conjecture,
addition(one,esk2_0) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_38]),c_0_28]) ).
cnf(c_0_93,negated_conjecture,
addition(one,esk1_0) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_43]),c_0_28]) ).
cnf(c_0_94,negated_conjecture,
( c(c(esk1_0)) = esk1_0
| ~ test(c(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_56]),c_0_83]),c_0_84])]) ).
cnf(c_0_95,plain,
( test(c(X1))
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_85]) ).
cnf(c_0_96,negated_conjecture,
addition(c(esk1_0),c(esk2_0)) = zero,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_28]),c_0_88]) ).
cnf(c_0_97,plain,
test(zero),
inference(er,[status(thm)],[c_0_89]) ).
cnf(c_0_98,negated_conjecture,
addition(one,addition(esk1_0,addition(multiplication(esk1_0,esk2_0),c(esk1_0)))) != addition(esk1_0,addition(multiplication(esk1_0,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)],[c_0_90,c_0_91]),c_0_92]),c_0_54]),c_0_93])]) ).
cnf(c_0_99,plain,
( c(X1) = zero
| X1 != one ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_78]),c_0_79]),c_0_80])]),c_0_74]) ).
cnf(c_0_100,negated_conjecture,
c(c(esk1_0)) = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_43])]) ).
cnf(c_0_101,negated_conjecture,
c(esk1_0) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_96]),c_0_65]) ).
cnf(c_0_102,plain,
c(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_97]),c_0_78]) ).
cnf(c_0_103,negated_conjecture,
esk1_0 != one,
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(spm,[status(thm)],[c_0_98,c_0_99]),c_0_65]),c_0_91]),c_0_92]),c_0_54]),c_0_93]),c_0_65]),c_0_91]),c_0_92]),c_0_54])]) ).
cnf(c_0_104,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_103]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE010+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n029.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 11:46:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42 # Preprocessing time : 0.016 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 105
% 0.23/1.42 # Proof object clause steps : 70
% 0.23/1.42 # Proof object formula steps : 35
% 0.23/1.42 # Proof object conjectures : 30
% 0.23/1.42 # Proof object clause conjectures : 27
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 24
% 0.23/1.42 # Proof object initial formulas used : 17
% 0.23/1.42 # Proof object generating inferences : 40
% 0.23/1.42 # Proof object simplifying inferences : 121
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 19
% 0.23/1.42 # Removed by relevancy pruning/SinE : 0
% 0.23/1.42 # Initial clauses : 27
% 0.23/1.42 # Removed in clause preprocessing : 0
% 0.23/1.42 # Initial clauses in saturation : 27
% 0.23/1.42 # Processed clauses : 252
% 0.23/1.42 # ...of these trivial : 20
% 0.23/1.42 # ...subsumed : 60
% 0.23/1.42 # ...remaining for further processing : 172
% 0.23/1.42 # Other redundant clauses eliminated : 0
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 9
% 0.23/1.42 # Backward-rewritten : 57
% 0.23/1.42 # Generated clauses : 1766
% 0.23/1.42 # ...of the previous two non-trivial : 1205
% 0.23/1.42 # Contextual simplify-reflections : 22
% 0.23/1.42 # Paramodulations : 1761
% 0.23/1.42 # Factorizations : 0
% 0.23/1.42 # Equation resolutions : 5
% 0.23/1.42 # Current number of processed clauses : 106
% 0.23/1.42 # Positive orientable unit clauses : 42
% 0.23/1.42 # Positive unorientable unit clauses: 7
% 0.23/1.42 # Negative unit clauses : 5
% 0.23/1.42 # Non-unit-clauses : 52
% 0.23/1.42 # Current number of unprocessed clauses: 651
% 0.23/1.42 # ...number of literals in the above : 1067
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 66
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 795
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 724
% 0.23/1.42 # Non-unit clause-clause subsumptions : 54
% 0.23/1.42 # Unit Clause-clause subsumption calls : 583
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 110
% 0.23/1.42 # BW rewrite match successes : 64
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 20899
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.053 s
% 0.23/1.42 # System time : 0.003 s
% 0.23/1.42 # Total time : 0.057 s
% 0.23/1.42 # Maximum resident set size: 4140 pages
% 0.23/23.41 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.23/23.41
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------