TSTP Solution File: KLE027+3 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KLE027+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n010.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 01:55:27 EDT 2022
% Result : Theorem 0.51s 37.67s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 106 ( 56 unt; 0 def)
% Number of atoms : 196 ( 118 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 166 ( 76 ~; 71 |; 12 &)
% ( 3 <=>; 4 =>; 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 : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 156 ( 11 sgn 63 !; 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(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_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(goals,conjecture,
! [X4,X5,X6,X7,X8] :
( ( test(X7)
& test(X8) )
=> addition(multiplication(X7,addition(multiplication(X7,X4),multiplication(c(X7),X5))),multiplication(c(X7),X6)) = addition(multiplication(X7,X4),multiplication(c(X7),X6)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
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(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(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
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(right_annihilation,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
fof(c_0_15,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_16,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_17,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_18,plain,
( multiplication(X1,X2) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
( complement(esk1_1(X1),X1)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_20,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[additive_identity]) ).
cnf(c_0_21,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
( multiplication(esk1_1(X1),X1) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
( addition(X2,X1) = one
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_25,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
fof(c_0_26,negated_conjecture,
~ ! [X4,X5,X6,X7,X8] :
( ( test(X7)
& test(X8) )
=> addition(multiplication(X7,addition(multiplication(X7,X4),multiplication(c(X7),X5))),multiplication(c(X7),X6)) = addition(multiplication(X7,X4),multiplication(c(X7),X6)) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_27,plain,
( multiplication(addition(X1,esk1_1(X2)),X2) = multiplication(X1,X2)
| ~ test(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_28,plain,
( addition(X1,esk1_1(X1)) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_19]) ).
cnf(c_0_29,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_30,negated_conjecture,
( test(esk5_0)
& test(esk6_0)
& addition(multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))),multiplication(c(esk5_0),esk4_0)) != addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
fof(c_0_31,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_32,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
fof(c_0_33,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])]) ).
fof(c_0_34,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_35,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_36,negated_conjecture,
test(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_37,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
cnf(c_0_38,plain,
( complement(X1,X2)
| ~ test(X1)
| c(X1) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
( c(multiplication(X1,X2)) = addition(c(X1),c(X2))
| ~ test(X2)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,plain,
( multiplication(X2,X1) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_43,plain,
! [X2] : multiplication(zero,X2) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
fof(c_0_44,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_45,negated_conjecture,
multiplication(esk5_0,esk5_0) = esk5_0,
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_46,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
cnf(c_0_47,plain,
( test(X1)
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_48,plain,
( complement(X1,X2)
| addition(X2,X1) != one
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_49,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_50,plain,
! [X2] : multiplication(X2,zero) = zero,
inference(variable_rename,[status(thm)],[right_annihilation]) ).
cnf(c_0_51,plain,
( addition(X1,X2) = one
| c(X2) != X1
| ~ test(X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_38]) ).
cnf(c_0_52,plain,
( c(multiplication(X1,X1)) = c(X1)
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_53,plain,
addition(multiplication(X1,multiplication(X2,X3)),multiplication(X4,X3)) = multiplication(addition(multiplication(X1,X2),X4),X3),
inference(spm,[status(thm)],[c_0_21,c_0_41]) ).
cnf(c_0_54,plain,
( multiplication(X1,X2) = zero
| c(X2) != X1
| ~ test(X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_38]) ).
cnf(c_0_55,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_56,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_57,negated_conjecture,
multiplication(esk5_0,multiplication(esk5_0,X1)) = multiplication(esk5_0,X1),
inference(spm,[status(thm)],[c_0_41,c_0_45]) ).
cnf(c_0_58,plain,
( multiplication(X1,X2) = zero
| c(X1) != X2
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_38]) ).
cnf(c_0_59,plain,
( multiplication(X1,esk1_1(X1)) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_19]) ).
cnf(c_0_60,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_61,plain,
( test(X1)
| addition(X1,X2) != one
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_62,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_49]) ).
cnf(c_0_63,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_64,plain,
( addition(X1,multiplication(X2,X2)) = one
| c(X2) != X1
| ~ test(multiplication(X2,X2))
| ~ test(X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_65,negated_conjecture,
multiplication(addition(multiplication(X1,esk5_0),X2),esk5_0) = multiplication(addition(X1,X2),esk5_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_45]),c_0_21]) ).
cnf(c_0_66,plain,
( multiplication(c(X1),X1) = zero
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_54]) ).
cnf(c_0_67,plain,
( multiplication(esk1_1(X1),multiplication(X1,X2)) = zero
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_22]),c_0_55]) ).
cnf(c_0_68,negated_conjecture,
multiplication(esk5_0,addition(X1,multiplication(esk5_0,X2))) = multiplication(esk5_0,addition(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_56]) ).
cnf(c_0_69,plain,
( multiplication(X1,c(X1)) = zero
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_58]) ).
cnf(c_0_70,plain,
( multiplication(X1,multiplication(X2,esk1_1(multiplication(X1,X2)))) = zero
| ~ test(multiplication(X1,X2)) ),
inference(spm,[status(thm)],[c_0_41,c_0_59]) ).
cnf(c_0_71,plain,
( esk1_1(one) = zero
| ~ test(one) ),
inference(spm,[status(thm)],[c_0_60,c_0_22]) ).
cnf(c_0_72,plain,
( test(zero)
| X1 != one ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_55]),c_0_63])]) ).
cnf(c_0_73,negated_conjecture,
( addition(X1,esk5_0) = one
| c(esk5_0) != X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_45]),c_0_36])]) ).
cnf(c_0_74,negated_conjecture,
multiplication(addition(c(esk5_0),X1),esk5_0) = multiplication(X1,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_62]),c_0_36])]) ).
cnf(c_0_75,negated_conjecture,
multiplication(esk1_1(esk5_0),esk5_0) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_45]),c_0_36])]) ).
cnf(c_0_76,plain,
( multiplication(X1,addition(esk1_1(X1),X2)) = multiplication(X1,X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_59]),c_0_62]) ).
cnf(c_0_77,negated_conjecture,
multiplication(esk5_0,addition(X1,c(esk5_0))) = multiplication(esk5_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_23]),c_0_36])]) ).
cnf(c_0_78,negated_conjecture,
multiplication(esk5_0,esk1_1(esk5_0)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_70]),c_0_45]),c_0_45]),c_0_36])]) ).
cnf(c_0_79,plain,
( test(X1)
| c(X2) != X1
| ~ test(X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_38]) ).
cnf(c_0_80,plain,
( c(X1) = X2
| ~ test(X1)
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_81,plain,
( complement(zero,one)
| ~ test(one) ),
inference(spm,[status(thm)],[c_0_19,c_0_71]) ).
cnf(c_0_82,plain,
test(zero),
inference(er,[status(thm)],[c_0_72]) ).
cnf(c_0_83,plain,
( test(X1)
| addition(X2,X1) != one
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero ),
inference(spm,[status(thm)],[c_0_61,c_0_49]) ).
cnf(c_0_84,negated_conjecture,
addition(esk5_0,c(esk5_0)) = one,
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_73]),c_0_49]) ).
cnf(c_0_85,negated_conjecture,
multiplication(c(esk5_0),esk5_0) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_74]),c_0_75]),c_0_36])]) ).
cnf(c_0_86,negated_conjecture,
multiplication(esk5_0,c(esk5_0)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),c_0_36])]) ).
cnf(c_0_87,plain,
( multiplication(esk1_1(X1),addition(X1,X2)) = multiplication(esk1_1(X1),X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_22]),c_0_62]) ).
cnf(c_0_88,plain,
( test(c(X1))
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_79]) ).
cnf(c_0_89,plain,
( c(zero) = one
| ~ test(one) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82])]) ).
cnf(c_0_90,plain,
( test(X1)
| X1 != one ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_23]),c_0_63]),c_0_55])]) ).
cnf(c_0_91,plain,
( c(X1) = X2
| addition(X2,X1) != one
| multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_48]),c_0_83]) ).
cnf(c_0_92,negated_conjecture,
( multiplication(esk1_1(c(esk5_0)),esk5_0) = esk5_0
| ~ test(c(esk5_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_28]),c_0_29]) ).
cnf(c_0_93,negated_conjecture,
test(c(esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_86])]) ).
cnf(c_0_94,negated_conjecture,
addition(multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0))),multiplication(c(esk5_0),esk4_0)) != addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_95,plain,
( multiplication(esk1_1(c(X1)),c(multiplication(X1,X2))) = multiplication(esk1_1(c(X1)),c(X2))
| ~ test(X2)
| ~ test(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_40]),c_0_88]) ).
cnf(c_0_96,plain,
c(zero) = one,
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_97,negated_conjecture,
c(c(esk5_0)) = esk5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_84]),c_0_86]),c_0_85])]) ).
cnf(c_0_98,negated_conjecture,
multiplication(esk1_1(c(esk5_0)),esk5_0) = esk5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93])]) ).
cnf(c_0_99,negated_conjecture,
addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk3_0)))) != addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)),
inference(rw,[status(thm)],[c_0_94,c_0_49]) ).
cnf(c_0_100,negated_conjecture,
multiplication(esk5_0,addition(multiplication(esk5_0,X1),X2)) = multiplication(esk5_0,addition(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_56]) ).
cnf(c_0_101,plain,
( multiplication(esk1_1(X1),addition(X2,multiplication(X1,X3))) = multiplication(esk1_1(X1),X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_67]),c_0_23]) ).
cnf(c_0_102,negated_conjecture,
esk1_1(c(esk5_0)) = esk5_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_86]),c_0_96]),c_0_60]),c_0_97]),c_0_98]),c_0_93]),c_0_36])]) ).
cnf(c_0_103,negated_conjecture,
addition(multiplication(c(esk5_0),esk4_0),multiplication(esk5_0,addition(esk2_0,multiplication(c(esk5_0),esk3_0)))) != addition(multiplication(esk5_0,esk2_0),multiplication(c(esk5_0),esk4_0)),
inference(rw,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_104,negated_conjecture,
multiplication(esk5_0,addition(X1,multiplication(c(esk5_0),X2))) = multiplication(esk5_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_93])]) ).
cnf(c_0_105,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_104]),c_0_49])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE027+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : run_ET %s %d
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Thu Jun 16 09:21:53 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.41/23.44 eprover: CPU time limit exceeded, terminating
% 0.41/23.44 eprover: CPU time limit exceeded, terminating
% 0.41/23.46 eprover: CPU time limit exceeded, terminating
% 0.41/23.46 eprover: CPU time limit exceeded, terminating
% 0.51/37.67 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.51/37.67
% 0.51/37.67 # Failure: Resource limit exceeded (time)
% 0.51/37.67 # OLD status Res
% 0.51/37.67 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.51/37.67 # Preprocessing time : 0.015 s
% 0.51/37.67 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.51/37.67 # Preprocessing time : 0.020 s
% 0.51/37.67
% 0.51/37.67 # Proof found!
% 0.51/37.67 # SZS status Theorem
% 0.51/37.67 # SZS output start CNFRefutation
% See solution above
% 0.51/37.67 # Proof object total steps : 106
% 0.51/37.67 # Proof object clause steps : 75
% 0.51/37.67 # Proof object formula steps : 31
% 0.51/37.67 # Proof object conjectures : 27
% 0.51/37.67 # Proof object clause conjectures : 24
% 0.51/37.67 # Proof object formula conjectures : 3
% 0.51/37.67 # Proof object initial clauses used : 21
% 0.51/37.67 # Proof object initial formulas used : 15
% 0.51/37.67 # Proof object generating inferences : 50
% 0.51/37.67 # Proof object simplifying inferences : 63
% 0.51/37.67 # Training examples: 0 positive, 0 negative
% 0.51/37.67 # Parsed axioms : 19
% 0.51/37.67 # Removed by relevancy pruning/SinE : 0
% 0.51/37.67 # Initial clauses : 27
% 0.51/37.67 # Removed in clause preprocessing : 0
% 0.51/37.67 # Initial clauses in saturation : 27
% 0.51/37.67 # Processed clauses : 20539
% 0.51/37.67 # ...of these trivial : 477
% 0.51/37.67 # ...subsumed : 17921
% 0.51/37.67 # ...remaining for further processing : 2141
% 0.51/37.67 # Other redundant clauses eliminated : 12
% 0.51/37.67 # Clauses deleted for lack of memory : 565551
% 0.51/37.67 # Backward-subsumed : 198
% 0.51/37.67 # Backward-rewritten : 237
% 0.51/37.67 # Generated clauses : 776872
% 0.51/37.67 # ...of the previous two non-trivial : 726667
% 0.51/37.67 # Contextual simplify-reflections : 10522
% 0.51/37.67 # Paramodulations : 776846
% 0.51/37.67 # Factorizations : 2
% 0.51/37.67 # Equation resolutions : 24
% 0.51/37.67 # Current number of processed clauses : 1706
% 0.51/37.67 # Positive orientable unit clauses : 191
% 0.51/37.67 # Positive unorientable unit clauses: 18
% 0.51/37.67 # Negative unit clauses : 47
% 0.51/37.67 # Non-unit-clauses : 1450
% 0.51/37.67 # Current number of unprocessed clauses: 109990
% 0.51/37.67 # ...number of literals in the above : 397141
% 0.51/37.67 # Current number of archived formulas : 0
% 0.51/37.67 # Current number of archived clauses : 435
% 0.51/37.67 # Clause-clause subsumption calls (NU) : 973015
% 0.51/37.67 # Rec. Clause-clause subsumption calls : 629148
% 0.51/37.67 # Non-unit clause-clause subsumptions : 17541
% 0.51/37.67 # Unit Clause-clause subsumption calls : 13032
% 0.51/37.67 # Rewrite failures with RHS unbound : 0
% 0.51/37.67 # BW rewrite match attempts : 701
% 0.51/37.67 # BW rewrite match successes : 215
% 0.51/37.67 # Condensation attempts : 0
% 0.51/37.67 # Condensation successes : 0
% 0.51/37.67 # Termbank termtop insertions : 17902944
% 0.51/37.67
% 0.51/37.67 # -------------------------------------------------
% 0.51/37.67 # User time : 13.903 s
% 0.51/37.67 # System time : 0.159 s
% 0.51/37.67 # Total time : 14.062 s
% 0.51/37.67 # Maximum resident set size: 141316 pages
% 0.51/46.46 eprover: CPU time limit exceeded, terminating
% 0.51/46.47 eprover: CPU time limit exceeded, terminating
% 0.51/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/46.47 eprover: No such file or directory
% 0.51/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/46.48 eprover: No such file or directory
% 0.51/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/46.48 eprover: No such file or directory
% 0.51/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/46.49 eprover: No such file or directory
% 0.51/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/46.49 eprover: No such file or directory
% 0.51/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/46.49 eprover: No such file or directory
% 0.51/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/46.49 eprover: No such file or directory
% 0.51/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/46.50 eprover: No such file or directory
% 0.51/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/46.50 eprover: No such file or directory
% 0.51/46.50 eprover: CPU time limit exceeded, terminating
% 0.51/46.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/46.50 eprover: No such file or directory
% 0.51/46.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/46.51 eprover: No such file or directory
% 0.51/46.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/46.51 eprover: No such file or directory
% 0.51/46.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/46.51 eprover: No such file or directory
% 0.51/46.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/46.51 eprover: No such file or directory
% 0.51/46.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/46.51 eprover: No such file or directory
% 0.51/46.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/46.52 eprover: No such file or directory
% 0.51/46.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/46.52 eprover: No such file or directory
% 0.51/46.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/46.52 eprover: No such file or directory
% 0.51/46.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/46.52 eprover: No such file or directory
% 0.51/46.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/46.52 eprover: No such file or directory
% 0.51/46.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/46.53 eprover: No such file or directory
% 0.51/46.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/46.53 eprover: No such file or directory
% 0.51/46.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/46.53 eprover: No such file or directory
% 0.51/46.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.51/46.53 eprover: No such file or directory
% 0.51/46.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/46.54 eprover: No such file or directory
% 0.51/46.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/46.54 eprover: No such file or directory
% 0.51/46.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/46.55 eprover: No such file or directory
% 0.51/46.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/46.55 eprover: No such file or directory
% 0.51/46.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/46.56 eprover: No such file or directory
% 0.51/46.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.51/46.56 eprover: No such file or directory
%------------------------------------------------------------------------------