TSTP Solution File: KLE011+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KLE011+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n023.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 0.25s 1.44s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 150 ( 80 unt; 0 def)
% Number of atoms : 272 ( 166 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 233 ( 111 ~; 100 |; 13 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 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 : 175 ( 8 sgn 69 !; 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_3,axiom,
! [X4,X5] :
( test(X4)
=> ( c(X4) = X5
<=> complement(X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_3) ).
fof(test_1,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_1) ).
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(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
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(goals,conjecture,
! [X4,X5] :
( ( test(X5)
& test(X4) )
=> one = addition(addition(multiplication(addition(X5,c(X5)),X4),multiplication(addition(X4,c(X4)),X5)),multiplication(c(X4),c(X5))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',goals) ).
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(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(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(test_deMorgan1,axiom,
! [X4,X5] :
( ( test(X4)
& test(X5) )
=> c(addition(X4,X5)) = multiplication(c(X4),c(X5)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+2.ax',test_deMorgan1) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
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(test_4,axiom,
! [X4] :
( ~ test(X4)
=> c(X4) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_4) ).
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,plain,
! [X6,X6,X8] :
( ( ~ test(X6)
| complement(esk1_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_21,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_22,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
cnf(c_0_23,plain,
( addition(X2,X1) = one
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
( complement(X1,X2)
| ~ test(X1)
| c(X1) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_25,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_26,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_27,plain,
( multiplication(X2,X1) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,plain,
( complement(esk1_1(X1),X1)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_29,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[additive_identity]) ).
cnf(c_0_30,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,plain,
( addition(X1,X2) = one
| c(X2) != X1
| ~ test(X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_33,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_34,negated_conjecture,
~ ! [X4,X5] :
( ( test(X5)
& test(X4) )
=> one = addition(addition(multiplication(addition(X5,c(X5)),X4),multiplication(addition(X4,c(X4)),X5)),multiplication(c(X4),c(X5))) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_35,plain,
( multiplication(X1,X2) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_36,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37,plain,
( multiplication(X1,esk1_1(X1)) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_38,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_39,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_40,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_41,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_42,plain,
( addition(X1,c(X1)) = one
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_32]),c_0_33]) ).
fof(c_0_43,negated_conjecture,
( test(esk3_0)
& test(esk2_0)
& one != addition(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk3_0)),multiplication(c(esk2_0),c(esk3_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
fof(c_0_44,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_45,plain,
( multiplication(X1,X2) = zero
| c(X1) != X2
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_24]) ).
cnf(c_0_46,plain,
( multiplication(X1,addition(X2,esk1_1(X1))) = multiplication(X1,X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_47,plain,
( addition(X1,esk1_1(X1)) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_28]) ).
cnf(c_0_48,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_49,plain,
( c(multiplication(X1,X2)) = addition(c(X1),c(X2))
| ~ test(X2)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,plain,
( test(X1)
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_51,plain,
( addition(X1,one) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_52,negated_conjecture,
test(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_54,plain,
( multiplication(X1,c(X1)) = zero
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_45]) ).
cnf(c_0_55,plain,
( multiplication(X1,X1) = X1
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_56,negated_conjecture,
test(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_57,plain,
( c(multiplication(X1,X1)) = c(X1)
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_49]) ).
cnf(c_0_58,plain,
( test(X1)
| c(X2) != X1
| ~ test(X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_24]) ).
cnf(c_0_59,negated_conjecture,
addition(one,esk2_0) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_33]) ).
cnf(c_0_60,plain,
( multiplication(X1,multiplication(X2,c(multiplication(X1,X2)))) = zero
| ~ test(multiplication(X1,X2)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_61,negated_conjecture,
multiplication(esk3_0,esk3_0) = esk3_0,
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_62,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_63,plain,
( addition(X1,multiplication(X2,X2)) = one
| c(X2) != X1
| ~ test(multiplication(X2,X2))
| ~ test(X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_57]) ).
cnf(c_0_64,negated_conjecture,
multiplication(esk2_0,esk2_0) = esk2_0,
inference(spm,[status(thm)],[c_0_55,c_0_52]) ).
cnf(c_0_65,plain,
( addition(c(X1),addition(c(X2),X3)) = addition(c(multiplication(X1,X2)),X3)
| ~ test(X2)
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_49]) ).
cnf(c_0_66,plain,
( test(c(X1))
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_58]) ).
cnf(c_0_67,negated_conjecture,
addition(one,addition(esk2_0,X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_30,c_0_59]) ).
cnf(c_0_68,negated_conjecture,
one != addition(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk3_0)),multiplication(c(esk2_0),c(esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_69,plain,
! [X6,X7] :
( ~ test(X6)
| ~ test(X7)
| c(addition(X6,X7)) = multiplication(c(X6),c(X7)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_deMorgan1])]) ).
cnf(c_0_70,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_48]),c_0_33]) ).
cnf(c_0_71,negated_conjecture,
multiplication(esk3_0,multiplication(esk3_0,c(esk3_0))) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_56])]) ).
cnf(c_0_72,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_73,negated_conjecture,
( addition(X1,esk2_0) = one
| c(esk2_0) != X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_52])]) ).
fof(c_0_74,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_75,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_38,c_0_33]) ).
cnf(c_0_76,plain,
( addition(c(multiplication(X1,X2)),c(c(X2))) = addition(one,c(X1))
| ~ test(X2)
| ~ test(X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_42]),c_0_33]),c_0_66]) ).
cnf(c_0_77,negated_conjecture,
addition(one,c(esk2_0)) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_42]),c_0_31]),c_0_52])]) ).
cnf(c_0_78,negated_conjecture,
addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))) != one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_30]),c_0_33]) ).
cnf(c_0_79,plain,
( c(addition(X1,X2)) = multiplication(c(X1),c(X2))
| ~ test(X2)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_80,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_81,negated_conjecture,
multiplication(esk3_0,addition(one,multiplication(esk3_0,c(esk3_0)))) = esk3_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_38]),c_0_33]) ).
cnf(c_0_82,plain,
( multiplication(X1,X2) = zero
| c(X2) != X1
| ~ test(X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_24]) ).
cnf(c_0_83,plain,
( multiplication(addition(X1,X2),c(X2)) = multiplication(X1,c(X2))
| ~ test(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_54]),c_0_38]) ).
cnf(c_0_84,negated_conjecture,
addition(esk2_0,c(esk2_0)) = one,
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_73]),c_0_33]) ).
cnf(c_0_85,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_86,plain,
( multiplication(X1,addition(c(X1),X2)) = multiplication(X1,X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_54]),c_0_75]) ).
cnf(c_0_87,negated_conjecture,
addition(c(esk2_0),c(c(esk2_0))) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_64]),c_0_77]),c_0_52])]) ).
cnf(c_0_88,plain,
( c(X1) = X2
| ~ test(X1)
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_89,negated_conjecture,
addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))) != one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_56]),c_0_52])]) ).
cnf(c_0_90,plain,
( test(X1)
| addition(X1,X2) != one
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero ),
inference(spm,[status(thm)],[c_0_50,c_0_80]) ).
cnf(c_0_91,negated_conjecture,
( addition(X1,esk3_0) = one
| c(esk3_0) != X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_61]),c_0_56])]) ).
cnf(c_0_92,negated_conjecture,
multiplication(esk3_0,multiplication(addition(one,multiplication(esk3_0,c(esk3_0))),c(esk3_0))) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_81]),c_0_56])]) ).
cnf(c_0_93,plain,
( multiplication(X1,multiplication(X2,X2)) = zero
| c(X2) != X1
| ~ test(multiplication(X2,X2))
| ~ test(X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_57]) ).
cnf(c_0_94,negated_conjecture,
multiplication(esk2_0,multiplication(esk2_0,c(esk2_0))) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_64]),c_0_52])]) ).
cnf(c_0_95,negated_conjecture,
( multiplication(esk2_0,c(c(esk2_0))) = c(c(esk2_0))
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).
cnf(c_0_96,negated_conjecture,
multiplication(esk2_0,c(c(esk2_0))) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_48]),c_0_52])]) ).
cnf(c_0_97,plain,
( c(X1) = X2
| addition(X2,X1) != one
| multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_80]) ).
cnf(c_0_98,negated_conjecture,
addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))) != one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_42]),c_0_85]),c_0_56])]) ).
cnf(c_0_99,plain,
( test(X1)
| addition(X2,X1) != one
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero ),
inference(spm,[status(thm)],[c_0_90,c_0_33]) ).
cnf(c_0_100,negated_conjecture,
addition(esk3_0,c(esk3_0)) = one,
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_91]),c_0_33]) ).
cnf(c_0_101,negated_conjecture,
multiplication(esk3_0,c(esk3_0)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_54]),c_0_38]),c_0_85]),c_0_56])]) ).
cnf(c_0_102,negated_conjecture,
( multiplication(X1,esk3_0) = zero
| c(esk3_0) != X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_61]),c_0_56])]) ).
fof(c_0_103,plain,
! [X2] : multiplication(zero,X2) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
fof(c_0_104,plain,
! [X2] : multiplication(X2,zero) = zero,
inference(variable_rename,[status(thm)],[right_annihilation]) ).
cnf(c_0_105,negated_conjecture,
multiplication(esk2_0,addition(one,multiplication(esk2_0,c(esk2_0)))) = esk2_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_94]),c_0_38]),c_0_33]) ).
cnf(c_0_106,negated_conjecture,
( c(c(esk2_0)) = esk2_0
| ~ test(c(esk2_0)) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_107,negated_conjecture,
addition(esk2_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))) != one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_42]),c_0_85]),c_0_56])]) ).
cnf(c_0_108,negated_conjecture,
( c(esk2_0) = one
| esk2_0 != zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_59]),c_0_85]),c_0_48]),c_0_52])]) ).
cnf(c_0_109,negated_conjecture,
addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0)))) != one,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_42]),c_0_85]),c_0_52])]),c_0_33]) ).
cnf(c_0_110,plain,
( addition(X1,addition(X2,c(addition(X1,X2)))) = one
| ~ test(addition(X1,X2)) ),
inference(spm,[status(thm)],[c_0_30,c_0_42]) ).
fof(c_0_111,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_112,plain,
( multiplication(addition(X1,X2),c(X1)) = multiplication(X2,c(X1))
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_54]),c_0_75]) ).
cnf(c_0_113,negated_conjecture,
( test(c(esk3_0))
| multiplication(c(esk3_0),esk3_0) != zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101])]) ).
cnf(c_0_114,negated_conjecture,
multiplication(c(esk3_0),esk3_0) = zero,
inference(er,[status(thm)],[c_0_102]) ).
cnf(c_0_115,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_116,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_117,negated_conjecture,
multiplication(esk2_0,multiplication(addition(one,multiplication(esk2_0,c(esk2_0))),c(esk2_0))) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_105]),c_0_52])]) ).
cnf(c_0_118,negated_conjecture,
c(c(esk2_0)) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_66]),c_0_52])]) ).
cnf(c_0_119,negated_conjecture,
( addition(esk2_0,addition(esk3_0,c(esk3_0))) != one
| esk2_0 != zero ),
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_107,c_0_108]),c_0_85]),c_0_33]),c_0_59]),c_0_85]),c_0_33]) ).
cnf(c_0_120,plain,
( addition(c(addition(X1,X2)),multiplication(c(X1),X3)) = multiplication(c(X1),addition(c(X2),X3))
| ~ test(X2)
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_79]) ).
cnf(c_0_121,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_85]),c_0_33]) ).
cnf(c_0_122,negated_conjecture,
~ test(addition(esk2_0,esk3_0)),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_123,plain,
( c(X1) = zero
| test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_124,plain,
( addition(multiplication(X1,X1),c(X1)) = one
| ~ test(multiplication(X1,X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_57]) ).
cnf(c_0_125,negated_conjecture,
multiplication(c(esk3_0),c(esk3_0)) = c(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_100]),c_0_85]),c_0_56])]) ).
cnf(c_0_126,negated_conjecture,
test(c(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_114])]) ).
cnf(c_0_127,negated_conjecture,
( multiplication(esk3_0,c(c(esk3_0))) = c(c(esk3_0))
| ~ test(c(esk3_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_100]),c_0_85]) ).
cnf(c_0_128,plain,
( test(zero)
| X1 != one ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_75]),c_0_115]),c_0_116])]) ).
cnf(c_0_129,negated_conjecture,
multiplication(esk2_0,c(esk2_0)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_54]),c_0_38]),c_0_85]),c_0_52])]) ).
cnf(c_0_130,negated_conjecture,
( multiplication(c(esk2_0),esk2_0) = zero
| ~ test(c(esk2_0)) ),
inference(spm,[status(thm)],[c_0_54,c_0_118]) ).
cnf(c_0_131,negated_conjecture,
esk2_0 != zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_42]),c_0_33]),c_0_59]),c_0_56])]) ).
cnf(c_0_132,plain,
( test(X1)
| X1 != one ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_38]),c_0_116]),c_0_115])]) ).
cnf(c_0_133,plain,
( multiplication(c(X1),addition(c(X2),c(addition(X1,X2)))) = multiplication(addition(one,c(X1)),c(addition(X1,X2)))
| ~ test(X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_33]) ).
cnf(c_0_134,negated_conjecture,
c(addition(esk2_0,esk3_0)) = zero,
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_135,negated_conjecture,
addition(c(esk3_0),c(c(esk3_0))) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126])]) ).
cnf(c_0_136,negated_conjecture,
multiplication(esk3_0,c(c(esk3_0))) = c(c(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_126])]) ).
cnf(c_0_137,plain,
( c(zero) = one
| ~ test(zero) ),
inference(spm,[status(thm)],[c_0_75,c_0_42]) ).
cnf(c_0_138,plain,
test(zero),
inference(er,[status(thm)],[c_0_128]) ).
cnf(c_0_139,negated_conjecture,
( test(c(esk2_0))
| multiplication(c(esk2_0),esk2_0) != zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_84]),c_0_129])]) ).
cnf(c_0_140,negated_conjecture,
multiplication(c(esk2_0),esk2_0) = zero,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_123]),c_0_118]),c_0_131]) ).
cnf(c_0_141,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_97,c_0_75]),c_0_115]),c_0_116])]),c_0_132]) ).
cnf(c_0_142,plain,
( addition(c(X1),c(X2)) = c(multiplication(X1,multiplication(X1,X2)))
| ~ test(multiplication(X1,X1))
| ~ test(X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_57]),c_0_53]) ).
cnf(c_0_143,negated_conjecture,
multiplication(c(esk2_0),c(esk3_0)) = zero,
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_133,c_0_134]),c_0_38]),c_0_77]),c_0_85]),c_0_56]),c_0_52])]) ).
cnf(c_0_144,negated_conjecture,
c(c(esk3_0)) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_135]),c_0_48]),c_0_136]),c_0_56])]) ).
cnf(c_0_145,plain,
c(zero) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_138])]) ).
cnf(c_0_146,negated_conjecture,
multiplication(c(esk2_0),c(esk2_0)) = c(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_84]),c_0_85]),c_0_52])]) ).
cnf(c_0_147,negated_conjecture,
test(c(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_140])]) ).
cnf(c_0_148,negated_conjecture,
addition(esk2_0,esk3_0) != one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_141]),c_0_38])]) ).
cnf(c_0_149,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_118]),c_0_144]),c_0_116]),c_0_145]),c_0_146]),c_0_147]),c_0_126]),c_0_147])]),c_0_148]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KLE011+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : run_ET %s %d
% 0.13/0.36 % Computer : n023.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 600
% 0.13/0.36 % DateTime : Thu Jun 16 11:01:35 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.25/1.44 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.25/1.44 # Preprocessing time : 0.022 s
% 0.25/1.44
% 0.25/1.44 # Proof found!
% 0.25/1.44 # SZS status Theorem
% 0.25/1.44 # SZS output start CNFRefutation
% See solution above
% 0.25/1.44 # Proof object total steps : 150
% 0.25/1.44 # Proof object clause steps : 113
% 0.25/1.44 # Proof object formula steps : 37
% 0.25/1.44 # Proof object conjectures : 55
% 0.25/1.44 # Proof object clause conjectures : 52
% 0.25/1.44 # Proof object formula conjectures : 3
% 0.25/1.44 # Proof object initial clauses used : 25
% 0.25/1.44 # Proof object initial formulas used : 18
% 0.25/1.44 # Proof object generating inferences : 83
% 0.25/1.44 # Proof object simplifying inferences : 136
% 0.25/1.44 # Training examples: 0 positive, 0 negative
% 0.25/1.44 # Parsed axioms : 19
% 0.25/1.44 # Removed by relevancy pruning/SinE : 0
% 0.25/1.44 # Initial clauses : 27
% 0.25/1.44 # Removed in clause preprocessing : 0
% 0.25/1.44 # Initial clauses in saturation : 27
% 0.25/1.44 # Processed clauses : 2849
% 0.25/1.44 # ...of these trivial : 112
% 0.25/1.44 # ...subsumed : 2100
% 0.25/1.44 # ...remaining for further processing : 637
% 0.25/1.44 # Other redundant clauses eliminated : 12
% 0.25/1.44 # Clauses deleted for lack of memory : 0
% 0.25/1.44 # Backward-subsumed : 30
% 0.25/1.44 # Backward-rewritten : 143
% 0.25/1.44 # Generated clauses : 68694
% 0.25/1.44 # ...of the previous two non-trivial : 61575
% 0.25/1.44 # Contextual simplify-reflections : 534
% 0.25/1.44 # Paramodulations : 68669
% 0.25/1.44 # Factorizations : 3
% 0.25/1.44 # Equation resolutions : 21
% 0.25/1.44 # Current number of processed clauses : 463
% 0.25/1.44 # Positive orientable unit clauses : 83
% 0.25/1.44 # Positive unorientable unit clauses: 10
% 0.25/1.44 # Negative unit clauses : 21
% 0.25/1.44 # Non-unit-clauses : 349
% 0.25/1.44 # Current number of unprocessed clauses: 53529
% 0.25/1.44 # ...number of literals in the above : 215356
% 0.25/1.44 # Current number of archived formulas : 0
% 0.25/1.44 # Current number of archived clauses : 174
% 0.25/1.44 # Clause-clause subsumption calls (NU) : 53905
% 0.25/1.44 # Rec. Clause-clause subsumption calls : 38773
% 0.25/1.44 # Non-unit clause-clause subsumptions : 1226
% 0.25/1.44 # Unit Clause-clause subsumption calls : 3202
% 0.25/1.44 # Rewrite failures with RHS unbound : 0
% 0.25/1.44 # BW rewrite match attempts : 317
% 0.25/1.44 # BW rewrite match successes : 157
% 0.25/1.44 # Condensation attempts : 0
% 0.25/1.44 # Condensation successes : 0
% 0.25/1.44 # Termbank termtop insertions : 1437693
% 0.25/1.44
% 0.25/1.44 # -------------------------------------------------
% 0.25/1.44 # User time : 0.806 s
% 0.25/1.44 # System time : 0.033 s
% 0.25/1.44 # Total time : 0.839 s
% 0.25/1.44 # Maximum resident set size: 59320 pages
% 0.25/23.44 eprover: CPU time limit exceeded, terminating
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.51 eprover: No such file or directory
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.51 eprover: No such file or directory
% 0.25/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.52 eprover: No such file or directory
% 0.25/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.52 eprover: No such file or directory
%------------------------------------------------------------------------------