%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KLE028+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.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 0.66s 68.84s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 15
% Syntax : Number of formulae : 176 ( 158 unt; 0 def)
% Number of atoms : 220 ( 175 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 79 ( 35 ~; 27 |; 11 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 188 ( 8 sgn 67 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X4,X5,X6,X7,X8,X9] :
( ( test(X8)
& test(X9) )
=> addition(multiplication(X8,addition(multiplication(X9,X4),multiplication(c(X9),X5))),multiplication(c(X8),addition(multiplication(X9,X6),multiplication(c(X9),X7)))) = addition(multiplication(X9,addition(multiplication(X8,X4),multiplication(c(X8),X6))),multiplication(c(X9),addition(multiplication(X8,X5),multiplication(c(X8),X7)))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',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(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(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(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(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(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_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_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(c_0_15,negated_conjecture,
~ ! [X4,X5,X6,X7,X8,X9] :
( ( test(X8)
& test(X9) )
=> addition(multiplication(X8,addition(multiplication(X9,X4),multiplication(c(X9),X5))),multiplication(c(X8),addition(multiplication(X9,X6),multiplication(c(X9),X7)))) = addition(multiplication(X9,addition(multiplication(X8,X4),multiplication(c(X8),X6))),multiplication(c(X9),addition(multiplication(X8,X5),multiplication(c(X8),X7)))) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_16,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_17,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_18,negated_conjecture,
( test(esk6_0)
& test(esk7_0)
& addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))) != addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
cnf(c_0_19,plain,
( complement(X1,X2)
| ~ test(X1)
| c(X1) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_20,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_21,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
fof(c_0_22,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])])])])]) ).
cnf(c_0_23,plain,
( complement(esk1_1(X1),X1)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
test(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( complement(X1,c(X1))
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
test(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_27,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
cnf(c_0_28,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
( addition(X2,X1) = one
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,negated_conjecture,
complement(esk1_1(esk7_0),esk7_0),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_32,negated_conjecture,
complement(esk6_0,c(esk6_0)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_34,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_35,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,negated_conjecture,
addition(esk7_0,esk1_1(esk7_0)) = one,
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_37,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_38,negated_conjecture,
addition(esk6_0,c(esk6_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_32]),c_0_33]) ).
cnf(c_0_39,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_40,negated_conjecture,
addition(one,esk7_0) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_33]) ).
cnf(c_0_41,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,plain,
( complement(X1,X2)
| addition(X2,X1) != one
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_43,plain,
( multiplication(X1,X2) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_44,plain,
( multiplication(X2,X1) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_45,negated_conjecture,
addition(esk6_0,addition(c(esk6_0),X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_28,c_0_38]) ).
cnf(c_0_46,negated_conjecture,
addition(X1,multiplication(esk7_0,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_41]) ).
fof(c_0_47,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_48,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
cnf(c_0_49,negated_conjecture,
complement(esk1_1(esk6_0),esk6_0),
inference(spm,[status(thm)],[c_0_23,c_0_26]) ).
cnf(c_0_50,plain,
( complement(X1,X2)
| addition(X1,X2) != one
| multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero ),
inference(pm,[status(thm)],[c_0_42,c_0_33]) ).
cnf(c_0_51,negated_conjecture,
multiplication(esk1_1(esk7_0),esk7_0) = zero,
inference(spm,[status(thm)],[c_0_43,c_0_31]) ).
cnf(c_0_52,negated_conjecture,
multiplication(esk7_0,esk1_1(esk7_0)) = zero,
inference(spm,[status(thm)],[c_0_44,c_0_31]) ).
cnf(c_0_53,negated_conjecture,
addition(one,multiplication(esk7_0,c(esk6_0))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_38]) ).
cnf(c_0_54,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_55,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_56,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_57,negated_conjecture,
addition(esk6_0,esk1_1(esk6_0)) = one,
inference(spm,[status(thm)],[c_0_30,c_0_49]) ).
cnf(c_0_58,negated_conjecture,
addition(esk7_0,addition(esk1_1(esk7_0),X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_28,c_0_36]) ).
cnf(c_0_59,plain,
( c(X1) = X2
| ~ test(X1)
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_60,negated_conjecture,
complement(esk7_0,esk1_1(esk7_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_36]),c_0_51]),c_0_52])]) ).
fof(c_0_61,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[additive_identity]) ).
cnf(c_0_62,negated_conjecture,
addition(one,addition(multiplication(esk7_0,c(esk6_0)),X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_28,c_0_53]) ).
cnf(c_0_63,negated_conjecture,
addition(X1,multiplication(X1,esk7_0)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_40]),c_0_55]),c_0_55]) ).
cnf(c_0_64,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_65,negated_conjecture,
addition(one,esk6_0) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_57]),c_0_33]) ).
cnf(c_0_66,negated_conjecture,
addition(multiplication(X1,esk7_0),addition(multiplication(X1,esk1_1(esk7_0)),multiplication(X1,X2))) = addition(X1,multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_58]),c_0_54]),c_0_55]),c_0_54]) ).
cnf(c_0_67,negated_conjecture,
esk1_1(esk7_0) = c(esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_24])]) ).
cnf(c_0_68,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_69,negated_conjecture,
addition(one,addition(esk7_0,X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_28,c_0_40]) ).
cnf(c_0_70,negated_conjecture,
addition(one,multiplication(esk7_0,multiplication(c(esk6_0),esk7_0))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_53]),c_0_64]) ).
cnf(c_0_71,negated_conjecture,
addition(one,multiplication(c(esk6_0),esk7_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_63]),c_0_38]) ).
cnf(c_0_72,negated_conjecture,
addition(one,addition(esk6_0,X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_28,c_0_65]) ).
cnf(c_0_73,negated_conjecture,
addition(multiplication(X1,esk7_0),addition(multiplication(X1,c(esk7_0)),multiplication(X1,X2))) = addition(X1,multiplication(X1,X2)),
inference(rw,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_74,negated_conjecture,
addition(multiplication(X1,X2),multiplication(X1,multiplication(esk7_0,X2))) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_54,c_0_46]) ).
cnf(c_0_75,negated_conjecture,
multiplication(esk6_0,c(esk6_0)) = zero,
inference(spm,[status(thm)],[c_0_43,c_0_32]) ).
cnf(c_0_76,plain,
addition(zero,X1) = X1,
inference(pm,[status(thm)],[c_0_68,c_0_33]) ).
cnf(c_0_77,negated_conjecture,
complement(esk7_0,c(esk7_0)),
inference(spm,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_78,negated_conjecture,
addition(one,esk1_1(esk7_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_36]),c_0_29]) ).
cnf(c_0_79,negated_conjecture,
addition(one,addition(multiplication(esk7_0,multiplication(c(esk6_0),esk7_0)),X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_28,c_0_70]) ).
cnf(c_0_80,negated_conjecture,
addition(multiplication(esk7_0,X1),multiplication(esk1_1(esk7_0),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_36]),c_0_41]) ).
cnf(c_0_81,negated_conjecture,
addition(one,addition(multiplication(c(esk6_0),esk7_0),X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_28,c_0_71]) ).
cnf(c_0_82,negated_conjecture,
addition(multiplication(X1,esk7_0),multiplication(X1,esk1_1(esk7_0))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_36]),c_0_55]) ).
cnf(c_0_83,negated_conjecture,
addition(one,c(esk6_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_38]),c_0_29]) ).
cnf(c_0_84,negated_conjecture,
addition(multiplication(X1,multiplication(esk7_0,X2)),addition(multiplication(X1,multiplication(c(esk7_0),X2)),multiplication(X1,multiplication(X3,X2)))) = addition(multiplication(X1,X2),multiplication(X1,multiplication(X3,X2))),
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_39,c_0_73]),c_0_39]),c_0_64]),c_0_64]),c_0_39]),c_0_64]),c_0_64]) ).
cnf(c_0_85,negated_conjecture,
multiplication(esk6_0,multiplication(esk7_0,c(esk6_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
cnf(c_0_86,negated_conjecture,
multiplication(c(esk7_0),esk7_0) = zero,
inference(spm,[status(thm)],[c_0_44,c_0_77]) ).
cnf(c_0_87,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_33]),c_0_28]) ).
cnf(c_0_88,negated_conjecture,
addition(esk7_0,c(esk7_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_77]),c_0_33]) ).
cnf(c_0_89,negated_conjecture,
addition(X1,multiplication(esk6_0,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_65]),c_0_41]),c_0_41]) ).
cnf(c_0_90,negated_conjecture,
addition(X1,multiplication(X1,esk1_1(esk7_0))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_78]),c_0_55]),c_0_55]) ).
cnf(c_0_91,negated_conjecture,
addition(one,multiplication(esk1_1(esk7_0),multiplication(c(esk6_0),esk7_0))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_71]) ).
fof(c_0_92,plain,
! [X2] : multiplication(zero,X2) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
cnf(c_0_93,negated_conjecture,
addition(multiplication(esk7_0,X1),addition(multiplication(esk1_1(esk7_0),X1),multiplication(X2,X1))) = addition(X1,multiplication(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_58]),c_0_39]),c_0_41]),c_0_39]) ).
cnf(c_0_94,negated_conjecture,
addition(one,multiplication(c(esk6_0),esk1_1(esk7_0))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]) ).
cnf(c_0_95,negated_conjecture,
addition(multiplication(esk6_0,X1),addition(multiplication(c(esk6_0),X1),multiplication(X2,X1))) = addition(X1,multiplication(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_45]),c_0_39]),c_0_41]),c_0_39]) ).
cnf(c_0_96,negated_conjecture,
multiplication(esk6_0,multiplication(c(esk7_0),c(esk6_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_84,c_0_85]),c_0_85]),c_0_68]),c_0_76]),c_0_75]),c_0_76]) ).
cnf(c_0_97,negated_conjecture,
multiplication(c(esk7_0),esk1_1(esk7_0)) = c(esk7_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_86]),c_0_76]) ).
cnf(c_0_98,negated_conjecture,
addition(esk7_0,addition(X1,c(esk7_0))) = addition(X1,one),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_99,negated_conjecture,
addition(multiplication(X1,X2),multiplication(X1,multiplication(esk6_0,X2))) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_54,c_0_89]) ).
cnf(c_0_100,negated_conjecture,
multiplication(esk1_1(esk6_0),esk6_0) = zero,
inference(spm,[status(thm)],[c_0_43,c_0_49]) ).
cnf(c_0_101,negated_conjecture,
multiplication(esk6_0,esk1_1(esk6_0)) = zero,
inference(spm,[status(thm)],[c_0_44,c_0_49]) ).
cnf(c_0_102,negated_conjecture,
addition(one,multiplication(esk7_0,multiplication(c(esk6_0),esk1_1(esk7_0)))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_90]),c_0_53]),c_0_64]) ).
cnf(c_0_103,negated_conjecture,
addition(one,multiplication(c(esk7_0),multiplication(c(esk6_0),esk7_0))) = one,
inference(rw,[status(thm)],[c_0_91,c_0_67]) ).
cnf(c_0_104,negated_conjecture,
multiplication(esk7_0,c(esk7_0)) = zero,
inference(spm,[status(thm)],[c_0_43,c_0_77]) ).
cnf(c_0_105,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_92]) ).
fof(c_0_106,plain,
! [X2] : multiplication(X2,zero) = zero,
inference(variable_rename,[status(thm)],[right_annihilation]) ).
cnf(c_0_107,negated_conjecture,
addition(multiplication(esk7_0,X1),addition(multiplication(c(esk7_0),X1),multiplication(X2,X1))) = addition(X1,multiplication(X2,X1)),
inference(rw,[status(thm)],[c_0_93,c_0_67]) ).
cnf(c_0_108,negated_conjecture,
addition(one,multiplication(c(esk6_0),c(esk7_0))) = one,
inference(rw,[status(thm)],[c_0_94,c_0_67]) ).
cnf(c_0_109,negated_conjecture,
multiplication(c(esk6_0),multiplication(c(esk7_0),c(esk6_0))) = multiplication(c(esk7_0),c(esk6_0)),
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_96]),c_0_96]),c_0_68]),c_0_76]),c_0_68]) ).
cnf(c_0_110,negated_conjecture,
multiplication(c(esk7_0),multiplication(esk1_1(esk7_0),X1)) = multiplication(c(esk7_0),X1),
inference(spm,[status(thm)],[c_0_64,c_0_97]) ).
cnf(c_0_111,negated_conjecture,
addition(X1,multiplication(esk1_1(esk7_0),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_78]),c_0_41]),c_0_41]) ).
cnf(c_0_112,negated_conjecture,
multiplication(c(esk6_0),esk6_0) = zero,
inference(spm,[status(thm)],[c_0_44,c_0_32]) ).
cnf(c_0_113,negated_conjecture,
addition(multiplication(esk7_0,X1),addition(multiplication(X2,X1),multiplication(c(esk7_0),X1))) = addition(X1,multiplication(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_98]),c_0_39]),c_0_41]),c_0_39]),c_0_33]) ).
cnf(c_0_114,negated_conjecture,
multiplication(c(esk7_0),multiplication(esk6_0,esk7_0)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_86]),c_0_76]) ).
cnf(c_0_115,negated_conjecture,
addition(one,esk1_1(esk6_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_57]),c_0_29]) ).
cnf(c_0_116,negated_conjecture,
complement(esk6_0,esk1_1(esk6_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_57]),c_0_100]),c_0_101])]) ).
cnf(c_0_117,negated_conjecture,
addition(one,multiplication(esk7_0,multiplication(c(esk6_0),c(esk7_0)))) = one,
inference(rw,[status(thm)],[c_0_102,c_0_67]) ).
cnf(c_0_118,plain,
addition(X1,addition(X2,addition(X1,X2))) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_119,negated_conjecture,
addition(multiplication(X1,multiplication(X2,esk7_0)),addition(multiplication(X1,multiplication(X2,c(esk7_0))),multiplication(X1,multiplication(X2,X3)))) = addition(multiplication(X1,X2),multiplication(X1,multiplication(X2,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_73]),c_0_54]),c_0_54]) ).
cnf(c_0_120,negated_conjecture,
addition(X1,multiplication(c(esk7_0),multiplication(c(esk6_0),multiplication(esk7_0,X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_103]),c_0_41]),c_0_41]),c_0_64]),c_0_64]) ).
cnf(c_0_121,negated_conjecture,
multiplication(esk7_0,multiplication(c(esk7_0),X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_104]),c_0_105]) ).
cnf(c_0_122,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_123,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X3,X1)),
inference(pm,[status(thm)],[c_0_28,c_0_33]) ).
cnf(c_0_124,negated_conjecture,
addition(multiplication(esk7_0,X1),addition(X2,addition(multiplication(c(esk7_0),X1),multiplication(X3,X1)))) = addition(X2,addition(X1,multiplication(X3,X1))),
inference(spm,[status(thm)],[c_0_87,c_0_107]) ).
cnf(c_0_125,negated_conjecture,
addition(X1,multiplication(X1,multiplication(c(esk6_0),c(esk7_0)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_108]),c_0_55]),c_0_55]) ).
cnf(c_0_126,negated_conjecture,
multiplication(c(esk6_0),multiplication(c(esk7_0),multiplication(c(esk6_0),X1))) = multiplication(c(esk7_0),multiplication(c(esk6_0),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_109]),c_0_64]),c_0_64]) ).
cnf(c_0_127,negated_conjecture,
multiplication(c(esk7_0),multiplication(c(esk7_0),X1)) = multiplication(c(esk7_0),X1),
inference(rw,[status(thm)],[c_0_110,c_0_67]) ).
cnf(c_0_128,negated_conjecture,
addition(X1,multiplication(c(esk7_0),X1)) = X1,
inference(rw,[status(thm)],[c_0_111,c_0_67]) ).
cnf(c_0_129,negated_conjecture,
addition(X1,multiplication(X1,esk6_0)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_65]),c_0_55]),c_0_55]) ).
cnf(c_0_130,negated_conjecture,
multiplication(c(esk6_0),multiplication(esk7_0,esk6_0)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_112]),c_0_76]) ).
cnf(c_0_131,negated_conjecture,
addition(multiplication(X1,X2),multiplication(X1,multiplication(X2,esk7_0))) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_54,c_0_63]) ).
cnf(c_0_132,negated_conjecture,
multiplication(esk7_0,multiplication(esk6_0,esk7_0)) = multiplication(esk6_0,esk7_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_76]),c_0_114]),c_0_68]),c_0_68]) ).
cnf(c_0_133,negated_conjecture,
addition(X1,multiplication(X1,esk1_1(esk6_0))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_115]),c_0_55]),c_0_55]) ).
cnf(c_0_134,negated_conjecture,
esk1_1(esk6_0) = c(esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_116]),c_0_26])]) ).
cnf(c_0_135,negated_conjecture,
addition(X1,multiplication(esk7_0,multiplication(c(esk6_0),multiplication(c(esk7_0),X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_117]),c_0_41]),c_0_41]),c_0_64]),c_0_64]) ).
cnf(c_0_136,negated_conjecture,
multiplication(c(esk7_0),multiplication(esk7_0,X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_86]),c_0_105]) ).
cnf(c_0_137,plain,
addition(X1,addition(X2,X1)) = addition(X1,X2),
inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_118,c_0_33]),c_0_35]) ).
cnf(c_0_138,negated_conjecture,
addition(multiplication(c(esk7_0),multiplication(c(esk6_0),esk7_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),c(esk7_0)))) = multiplication(c(esk7_0),c(esk6_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]),c_0_122]),c_0_122]),c_0_68]) ).
cnf(c_0_139,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X2,X1)),
inference(pm,[status(thm)],[c_0_123,c_0_33]) ).
cnf(c_0_140,negated_conjecture,
addition(multiplication(esk7_0,multiplication(c(esk6_0),c(esk7_0))),addition(X1,multiplication(c(esk7_0),multiplication(c(esk6_0),c(esk7_0))))) = addition(X1,multiplication(c(esk6_0),c(esk7_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_64]),c_0_64]),c_0_126]),c_0_127]),c_0_128]) ).
cnf(c_0_141,negated_conjecture,
addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))) != addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_142,negated_conjecture,
addition(multiplication(X1,X2),multiplication(X1,multiplication(X2,esk6_0))) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_54,c_0_129]) ).
cnf(c_0_143,negated_conjecture,
multiplication(esk6_0,multiplication(esk7_0,esk6_0)) = multiplication(esk7_0,esk6_0),
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_130]),c_0_68]),c_0_130]),c_0_68]),c_0_68]) ).
cnf(c_0_144,negated_conjecture,
addition(multiplication(esk6_0,esk7_0),multiplication(esk7_0,esk6_0)) = multiplication(esk7_0,esk6_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_33]) ).
cnf(c_0_145,negated_conjecture,
multiplication(esk7_0,multiplication(esk6_0,c(esk7_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_104]),c_0_76]) ).
cnf(c_0_146,negated_conjecture,
addition(X1,multiplication(X1,c(esk6_0))) = X1,
inference(rw,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_147,negated_conjecture,
addition(multiplication(esk7_0,multiplication(c(esk6_0),esk7_0)),multiplication(esk7_0,multiplication(c(esk6_0),c(esk7_0)))) = multiplication(esk7_0,c(esk6_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_135]),c_0_136]),c_0_122]),c_0_122]),c_0_68]) ).
cnf(c_0_148,negated_conjecture,
addition(multiplication(c(esk7_0),c(esk6_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),c(esk7_0)))) = multiplication(c(esk7_0),c(esk6_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_33]),c_0_33]),c_0_138]) ).
cnf(c_0_149,negated_conjecture,
addition(multiplication(esk7_0,multiplication(c(esk6_0),c(esk7_0))),addition(multiplication(c(esk7_0),multiplication(c(esk6_0),c(esk7_0))),X1)) = addition(X1,multiplication(c(esk6_0),c(esk7_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_123]) ).
cnf(c_0_150,negated_conjecture,
addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_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)],[c_0_141,c_0_54]),c_0_54]),c_0_28]),c_0_54]),c_0_54]),c_0_28]) ).
cnf(c_0_151,negated_conjecture,
multiplication(esk7_0,esk6_0) = multiplication(esk6_0,esk7_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]) ).
cnf(c_0_152,negated_conjecture,
multiplication(c(esk7_0),multiplication(esk6_0,c(esk7_0))) = multiplication(esk6_0,c(esk7_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_145]),c_0_145]),c_0_76]),c_0_76]),c_0_68]) ).
cnf(c_0_153,negated_conjecture,
addition(multiplication(X1,X2),multiplication(X1,multiplication(c(esk6_0),X2))) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_146]),c_0_64]) ).
cnf(c_0_154,negated_conjecture,
addition(multiplication(esk7_0,multiplication(c(esk6_0),esk7_0)),addition(X1,multiplication(esk7_0,multiplication(c(esk6_0),c(esk7_0))))) = addition(X1,multiplication(esk7_0,c(esk6_0))),
inference(spm,[status(thm)],[c_0_87,c_0_147]) ).
cnf(c_0_155,negated_conjecture,
addition(multiplication(c(esk7_0),c(esk6_0)),addition(X1,multiplication(c(esk7_0),multiplication(c(esk6_0),c(esk7_0))))) = addition(X1,multiplication(c(esk7_0),c(esk6_0))),
inference(spm,[status(thm)],[c_0_87,c_0_148]) ).
cnf(c_0_156,negated_conjecture,
addition(multiplication(esk7_0,X1),multiplication(c(esk7_0),X1)) = X1,
inference(rw,[status(thm)],[c_0_80,c_0_67]) ).
cnf(c_0_157,negated_conjecture,
addition(multiplication(esk7_0,multiplication(c(esk6_0),c(esk7_0))),addition(multiplication(c(esk7_0),multiplication(c(esk6_0),c(esk7_0))),X1)) = addition(multiplication(c(esk6_0),c(esk7_0)),X1),
inference(pm,[status(thm)],[c_0_33,c_0_149]) ).
cnf(c_0_158,negated_conjecture,
addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),
inference(rw,[status(thm)],[c_0_150,c_0_87]) ).
cnf(c_0_159,negated_conjecture,
multiplication(esk7_0,multiplication(esk6_0,X1)) = multiplication(esk6_0,multiplication(esk7_0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_151]),c_0_64]) ).
cnf(c_0_160,negated_conjecture,
multiplication(c(esk7_0),esk6_0) = multiplication(esk6_0,c(esk7_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_114]),c_0_114]),c_0_152]),c_0_68]),c_0_76]),c_0_68]) ).
cnf(c_0_161,negated_conjecture,
multiplication(c(esk7_0),multiplication(c(esk6_0),esk7_0)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_86]),c_0_76]) ).
cnf(c_0_162,negated_conjecture,
multiplication(esk7_0,multiplication(c(esk6_0),esk7_0)) = multiplication(esk7_0,c(esk6_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_153]),c_0_104]),c_0_68]),c_0_104]),c_0_76]) ).
cnf(c_0_163,negated_conjecture,
addition(multiplication(esk7_0,multiplication(c(esk6_0),c(esk7_0))),multiplication(c(esk7_0),c(esk6_0))) = addition(multiplication(c(esk6_0),c(esk7_0)),multiplication(c(esk7_0),c(esk6_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_33]) ).
cnf(c_0_164,negated_conjecture,
addition(multiplication(c(esk6_0),c(esk7_0)),multiplication(c(esk7_0),c(esk6_0))) = multiplication(c(esk6_0),c(esk7_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_146]),c_0_156]),c_0_64]),c_0_64]),c_0_109]),c_0_127]) ).
cnf(c_0_165,negated_conjecture,
addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),
inference(rw,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_166,negated_conjecture,
multiplication(c(esk7_0),multiplication(esk6_0,X1)) = multiplication(esk6_0,multiplication(c(esk7_0),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_160]),c_0_64]) ).
cnf(c_0_167,negated_conjecture,
multiplication(c(esk6_0),esk7_0) = multiplication(esk7_0,c(esk6_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_161]),c_0_68]),c_0_162]) ).
cnf(c_0_168,negated_conjecture,
addition(multiplication(esk7_0,multiplication(c(esk6_0),c(esk7_0))),multiplication(c(esk7_0),c(esk6_0))) = multiplication(c(esk6_0),c(esk7_0)),
inference(rw,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_169,negated_conjecture,
multiplication(esk7_0,multiplication(c(esk6_0),c(esk7_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_104]),c_0_76]) ).
cnf(c_0_170,negated_conjecture,
addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),
inference(rw,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_171,negated_conjecture,
multiplication(c(esk6_0),multiplication(esk7_0,X1)) = multiplication(esk7_0,multiplication(c(esk6_0),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_167]),c_0_64]) ).
cnf(c_0_172,negated_conjecture,
multiplication(c(esk7_0),c(esk6_0)) = multiplication(c(esk6_0),c(esk7_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_169]),c_0_76]) ).
cnf(c_0_173,negated_conjecture,
addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),
inference(rw,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_174,negated_conjecture,
multiplication(c(esk7_0),multiplication(c(esk6_0),X1)) = multiplication(c(esk6_0),multiplication(c(esk7_0),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_172]),c_0_64]) ).
cnf(c_0_175,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_174])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : KLE028+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11 % Command : run_ET %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Thu Jun 16 12:09:15 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.33/23.35 eprover: CPU time limit exceeded, terminating
% 0.33/23.35 eprover: CPU time limit exceeded, terminating
% 0.33/23.36 eprover: CPU time limit exceeded, terminating
% 0.33/23.36 eprover: CPU time limit exceeded, terminating
% 0.50/46.37 eprover: CPU time limit exceeded, terminating
% 0.50/46.37 eprover: CPU time limit exceeded, terminating
% 0.50/46.38 eprover: CPU time limit exceeded, terminating
% 0.50/46.38 eprover: CPU time limit exceeded, terminating
% 0.66/68.84 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.66/68.84
% 0.66/68.84 # Failure: Resource limit exceeded (time)
% 0.66/68.84 # OLD status Res
% 0.66/68.84 # Preprocessing time : 0.015 s
% 0.66/68.84 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.66/68.84
% 0.66/68.84 # Failure: Resource limit exceeded (time)
% 0.66/68.84 # OLD status Res
% 0.66/68.84 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.66/68.84 # Preprocessing time : 0.008 s
% 0.66/68.84 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 0.66/68.84 # Preprocessing time : 0.008 s
% 0.66/68.84
% 0.66/68.84 # Proof found!
% 0.66/68.84 # SZS status Theorem
% 0.66/68.84 # SZS output start CNFRefutation
% See solution above
% 0.66/68.84 # Proof object total steps : 176
% 0.66/68.84 # Proof object clause steps : 145
% 0.66/68.84 # Proof object formula steps : 31
% 0.66/68.84 # Proof object conjectures : 121
% 0.66/68.84 # Proof object clause conjectures : 118
% 0.66/68.84 # Proof object formula conjectures : 3
% 0.66/68.84 # Proof object initial clauses used : 21
% 0.66/68.84 # Proof object initial formulas used : 15
% 0.66/68.84 # Proof object generating inferences : 107
% 0.66/68.84 # Proof object simplifying inferences : 171
% 0.66/68.84 # Training examples: 0 positive, 0 negative
% 0.66/68.84 # Parsed axioms : 17
% 0.66/68.84 # Removed by relevancy pruning/SinE : 0
% 0.66/68.84 # Initial clauses : 25
% 0.66/68.84 # Removed in clause preprocessing : 0
% 0.66/68.84 # Initial clauses in saturation : 25
% 0.66/68.84 # Processed clauses : 19651
% 0.66/68.84 # ...of these trivial : 8507
% 0.66/68.84 # ...subsumed : 6673
% 0.66/68.84 # ...remaining for further processing : 4471
% 0.66/68.84 # Other redundant clauses eliminated : 0
% 0.66/68.84 # Clauses deleted for lack of memory : 1095672
% 0.66/68.84 # Backward-subsumed : 11
% 0.66/68.84 # Backward-rewritten : 2250
% 0.66/68.84 # Generated clauses : 1663808
% 0.66/68.84 # ...of the previous two non-trivial : 1454273
% 0.66/68.84 # Contextual simplify-reflections : 9
% 0.66/68.84 # Paramodulations : 1663800
% 0.66/68.84 # Factorizations : 0
% 0.66/68.84 # Equation resolutions : 8
% 0.66/68.84 # Current number of processed clauses : 2210
% 0.66/68.84 # Positive orientable unit clauses : 350
% 0.66/68.84 # Positive unorientable unit clauses: 25
% 0.66/68.84 # Negative unit clauses : 0
% 0.66/68.84 # Non-unit-clauses : 1835
% 0.66/68.84 # Current number of unprocessed clauses: 60562
% 0.66/68.84 # ...number of literals in the above : 128643
% 0.66/68.84 # Current number of archived formulas : 0
% 0.66/68.84 # Current number of archived clauses : 2261
% 0.66/68.84 # Clause-clause subsumption calls (NU) : 1725937
% 0.66/68.84 # Rec. Clause-clause subsumption calls : 1441432
% 0.66/68.84 # Non-unit clause-clause subsumptions : 4121
% 0.66/68.84 # Unit Clause-clause subsumption calls : 29358
% 0.66/68.84 # Rewrite failures with RHS unbound : 0
% 0.66/68.84 # BW rewrite match attempts : 48820
% 0.66/68.84 # BW rewrite match successes : 1468
% 0.66/68.84 # Condensation attempts : 0
% 0.66/68.84 # Condensation successes : 0
% 0.66/68.84 # Termbank termtop insertions : 53064612
% 0.66/68.84
% 0.66/68.84 # -------------------------------------------------
% 0.66/68.84 # User time : 21.349 s
% 0.66/68.84 # System time : 0.169 s
% 0.66/68.84 # Total time : 21.518 s
% 0.66/68.84 # Maximum resident set size: 162484 pages
% 0.66/69.39 eprover: CPU time limit exceeded, terminating
% 0.66/69.39 eprover: CPU time limit exceeded, terminating
% 0.66/69.39 eprover: CPU time limit exceeded, terminating
% 0.66/69.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.40 eprover: No such file or directory
% 0.66/69.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.41 eprover: No such file or directory
% 0.66/69.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.66/69.41 eprover: No such file or directory
% 0.66/69.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.41 eprover: No such file or directory
% 0.66/69.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.41 eprover: No such file or directory
% 0.66/69.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.41 eprover: No such file or directory
% 0.66/69.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.66/69.41 eprover: No such file or directory
% 0.66/69.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.42 eprover: No such file or directory
% 0.66/69.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.42 eprover: No such file or directory
% 0.66/69.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.66/69.42 eprover: No such file or directory
% 0.66/69.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.66/69.42 eprover: No such file or directory
% 0.66/69.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.42 eprover: No such file or directory
% 0.66/69.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.42 eprover: No such file or directory
% 0.66/69.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.66/69.43 eprover: No such file or directory
% 0.66/69.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.43 eprover: No such file or directory
% 0.66/69.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.43 eprover: No such file or directory
% 0.66/69.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.66/69.43 eprover: No such file or directory
% 0.66/69.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.43 eprover: No such file or directory
% 0.66/69.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.43 eprover: No such file or directory
% 0.66/69.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.66/69.43 eprover: No such file or directory
% 0.66/69.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.44 eprover: No such file or directory
% 0.66/69.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.44 eprover: No such file or directory
% 0.66/69.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.66/69.44 eprover: No such file or directory
% 0.66/69.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.44 eprover: No such file or directory
% 0.66/69.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.44 eprover: No such file or directory
% 0.66/69.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.66/69.44 eprover: No such file or directory
% 0.66/69.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.66/69.44 eprover: No such file or directory
%------------------------------------------------------------------------------