TSTP Solution File: KLE016+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KLE016+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 01:55:20 EDT 2022
% Result : Theorem 0.21s 2.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 17
% Syntax : Number of formulae : 255 ( 194 unt; 0 def)
% Number of atoms : 357 ( 268 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 184 ( 82 ~; 80 |; 14 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 268 ( 18 sgn 67 !; 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(goals,conjecture,
! [X4,X5] :
( ( test(X5)
& test(X4) )
=> ( leq(c(multiplication(X4,X5)),addition(c(X4),c(X5)))
& leq(addition(c(X4),c(X5)),c(multiplication(X4,X5))) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
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(right_annihilation,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(test_4,axiom,
! [X4] :
( ~ test(X4)
=> c(X4) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_4) ).
fof(left_distributivity,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(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(order,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).
fof(c_0_17,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_18,plain,
! [X6,X6,X8] :
( ( ~ test(X6)
| complement(esk3_1(X6),X6) )
& ( ~ complement(X8,X6)
| test(X6) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_1])])])])])]) ).
fof(c_0_19,negated_conjecture,
~ ! [X4,X5] :
( ( test(X5)
& test(X4) )
=> ( leq(c(multiplication(X4,X5)),addition(c(X4),c(X5)))
& leq(addition(c(X4),c(X5)),c(multiplication(X4,X5))) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_20,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_21,plain,
( multiplication(X2,X1) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
( complement(esk3_1(X1),X1)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_23,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[additive_identity]) ).
fof(c_0_24,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_25,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_26,negated_conjecture,
( test(esk2_0)
& test(esk1_0)
& ( ~ leq(c(multiplication(esk1_0,esk2_0)),addition(c(esk1_0),c(esk2_0)))
| ~ leq(addition(c(esk1_0),c(esk2_0)),c(multiplication(esk1_0,esk2_0))) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_27,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
( multiplication(X1,esk3_1(X1)) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,plain,
( test(X1)
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_30,plain,
( complement(X1,X2)
| addition(X2,X1) != one
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_31,plain,
! [X2] : multiplication(X2,zero) = zero,
inference(variable_rename,[status(thm)],[right_annihilation]) ).
fof(c_0_32,plain,
! [X2] : multiplication(zero,X2) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
cnf(c_0_33,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,plain,
( addition(X2,X1) = one
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_36,plain,
( complement(X1,X2)
| ~ test(X1)
| c(X1) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,negated_conjecture,
test(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38,plain,
( esk3_1(one) = zero
| ~ test(one) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_39,plain,
( test(X1)
| addition(X1,X2) != one
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_40,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,plain,
( c(X1) = X2
| ~ test(X1)
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_43,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_44,plain,
( addition(X1,esk3_1(X1)) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_22]) ).
fof(c_0_45,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_46,negated_conjecture,
test(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_47,negated_conjecture,
( complement(esk1_0,X1)
| c(esk1_0) != X1 ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_48,plain,
( complement(zero,one)
| ~ test(one) ),
inference(spm,[status(thm)],[c_0_22,c_0_38]) ).
cnf(c_0_49,plain,
( test(X1)
| X1 != one ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_33]),c_0_40]),c_0_41])]) ).
cnf(c_0_50,plain,
( c(esk3_1(X1)) = X1
| ~ test(esk3_1(X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_22]) ).
cnf(c_0_51,plain,
( esk3_1(zero) = one
| ~ test(zero) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,plain,
( c(X1) = zero
| test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_53,plain,
( test(zero)
| X1 != one ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_43]),c_0_41]),c_0_40])]) ).
cnf(c_0_54,negated_conjecture,
( complement(esk2_0,X1)
| c(esk2_0) != X1 ),
inference(spm,[status(thm)],[c_0_36,c_0_46]) ).
fof(c_0_55,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_56,negated_conjecture,
( multiplication(X1,esk1_0) = zero
| c(esk1_0) != X1 ),
inference(spm,[status(thm)],[c_0_21,c_0_47]) ).
cnf(c_0_57,plain,
complement(zero,one),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_58,plain,
( c(one) = zero
| ~ test(zero) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_59,plain,
test(zero),
inference(er,[status(thm)],[c_0_53]) ).
fof(c_0_60,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_61,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
cnf(c_0_62,negated_conjecture,
( multiplication(X1,esk2_0) = zero
| c(esk2_0) != X1 ),
inference(spm,[status(thm)],[c_0_21,c_0_54]) ).
cnf(c_0_63,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_64,negated_conjecture,
multiplication(c(esk1_0),esk1_0) = zero,
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_65,negated_conjecture,
( addition(X1,esk1_0) = one
| c(esk1_0) != X1 ),
inference(spm,[status(thm)],[c_0_35,c_0_47]) ).
fof(c_0_66,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_67,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
cnf(c_0_68,plain,
test(one),
inference(spm,[status(thm)],[c_0_29,c_0_57]) ).
cnf(c_0_69,plain,
c(one) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59])]) ).
cnf(c_0_70,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_71,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_72,negated_conjecture,
multiplication(c(esk2_0),esk2_0) = zero,
inference(er,[status(thm)],[c_0_62]) ).
cnf(c_0_73,negated_conjecture,
multiplication(addition(X1,c(esk1_0)),esk1_0) = multiplication(X1,esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_33]) ).
cnf(c_0_74,negated_conjecture,
addition(esk1_0,c(esk1_0)) = one,
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_65]),c_0_34]) ).
cnf(c_0_75,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_76,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_77,negated_conjecture,
( addition(X1,esk2_0) = one
| c(esk2_0) != X1 ),
inference(spm,[status(thm)],[c_0_35,c_0_54]) ).
cnf(c_0_78,plain,
( c(X1) = zero
| complement(X1,X2)
| c(X1) != X2 ),
inference(spm,[status(thm)],[c_0_36,c_0_52]) ).
cnf(c_0_79,plain,
( complement(one,X1)
| zero != X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_68]),c_0_69]) ).
cnf(c_0_80,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_81,negated_conjecture,
multiplication(addition(c(esk2_0),X1),esk2_0) = multiplication(X1,esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_72]),c_0_43]) ).
cnf(c_0_82,plain,
addition(multiplication(addition(X1,X2),X3),X4) = addition(multiplication(X1,X3),addition(multiplication(X2,X3),X4)),
inference(spm,[status(thm)],[c_0_70,c_0_63]) ).
cnf(c_0_83,negated_conjecture,
multiplication(esk1_0,esk1_0) = esk1_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_27]) ).
cnf(c_0_84,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(one,X2)),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_85,negated_conjecture,
addition(esk2_0,c(esk2_0)) = one,
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_77]),c_0_34]) ).
cnf(c_0_86,plain,
( c(X1) = zero
| test(X2)
| c(X1) != X2 ),
inference(spm,[status(thm)],[c_0_29,c_0_78]) ).
cnf(c_0_87,plain,
( test(X1)
| zero != X1 ),
inference(spm,[status(thm)],[c_0_29,c_0_79]) ).
cnf(c_0_88,negated_conjecture,
addition(one,esk1_0) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_74]),c_0_34]) ).
cnf(c_0_89,negated_conjecture,
addition(multiplication(c(esk2_0),X1),multiplication(X2,addition(X1,esk2_0))) = multiplication(addition(c(esk2_0),X2),addition(X1,esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_81]),c_0_82]),c_0_75]) ).
cnf(c_0_90,negated_conjecture,
multiplication(esk1_0,addition(esk1_0,X1)) = multiplication(esk1_0,addition(one,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_83]),c_0_84]) ).
cnf(c_0_91,negated_conjecture,
addition(one,esk2_0) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_85]),c_0_34]) ).
cnf(c_0_92,negated_conjecture,
addition(esk1_0,multiplication(X1,esk1_0)) = multiplication(addition(esk1_0,X1),esk1_0),
inference(spm,[status(thm)],[c_0_63,c_0_83]) ).
cnf(c_0_93,plain,
( addition(X1,one) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_44]) ).
cnf(c_0_94,plain,
test(c(X1)),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_86]),c_0_87]) ).
cnf(c_0_95,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_80,c_0_34]) ).
cnf(c_0_96,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_34,c_0_70]) ).
cnf(c_0_97,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(one,X2),X1),
inference(spm,[status(thm)],[c_0_63,c_0_27]) ).
cnf(c_0_98,negated_conjecture,
addition(X1,multiplication(X1,esk1_0)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_88]),c_0_76]) ).
cnf(c_0_99,negated_conjecture,
multiplication(addition(esk1_0,c(esk2_0)),addition(esk1_0,esk2_0)) = multiplication(addition(esk1_0,c(esk2_0)),esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_76]),c_0_34]),c_0_34]),c_0_92]) ).
cnf(c_0_100,negated_conjecture,
addition(one,addition(esk1_0,X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_70,c_0_88]) ).
cnf(c_0_101,plain,
addition(one,c(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_34]) ).
cnf(c_0_102,plain,
( multiplication(X1,X2) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_103,negated_conjecture,
addition(one,c(esk2_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_85]),c_0_34]) ).
fof(c_0_104,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_105,plain,
addition(X1,multiplication(addition(X2,X3),X4)) = addition(multiplication(X3,X4),addition(X1,multiplication(X2,X4))),
inference(spm,[status(thm)],[c_0_96,c_0_63]) ).
cnf(c_0_106,negated_conjecture,
addition(X1,multiplication(esk1_0,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_27]),c_0_27]) ).
cnf(c_0_107,negated_conjecture,
addition(esk1_0,addition(esk2_0,multiplication(addition(esk1_0,c(esk2_0)),esk1_0))) = addition(esk1_0,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_99]),c_0_70]),c_0_100]),c_0_101]),c_0_27]) ).
cnf(c_0_108,plain,
addition(X1,addition(X2,addition(X1,X3))) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_95]),c_0_70]),c_0_70]) ).
cnf(c_0_109,plain,
addition(X1,addition(X2,addition(X3,X1))) = addition(X2,addition(X3,X1)),
inference(spm,[status(thm)],[c_0_95,c_0_70]) ).
cnf(c_0_110,negated_conjecture,
multiplication(c(esk1_0),addition(esk1_0,X1)) = multiplication(c(esk1_0),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_64]),c_0_43]) ).
cnf(c_0_111,negated_conjecture,
( multiplication(esk1_0,X1) = zero
| c(esk1_0) != X1 ),
inference(spm,[status(thm)],[c_0_102,c_0_47]) ).
cnf(c_0_112,negated_conjecture,
( multiplication(esk2_0,X1) = zero
| c(esk2_0) != X1 ),
inference(spm,[status(thm)],[c_0_102,c_0_54]) ).
cnf(c_0_113,negated_conjecture,
multiplication(addition(X1,c(esk2_0)),esk2_0) = multiplication(X1,esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_72]),c_0_33]) ).
cnf(c_0_114,negated_conjecture,
multiplication(addition(c(esk1_0),X1),esk1_0) = multiplication(X1,esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_43]) ).
cnf(c_0_115,negated_conjecture,
addition(X1,multiplication(X1,c(esk2_0))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_103]),c_0_76]) ).
cnf(c_0_116,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_117,negated_conjecture,
addition(X1,multiplication(addition(esk1_0,X2),X1)) = addition(X1,multiplication(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_34]) ).
cnf(c_0_118,negated_conjecture,
multiplication(c(esk2_0),addition(X1,esk2_0)) = multiplication(c(esk2_0),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_72]),c_0_33]) ).
cnf(c_0_119,negated_conjecture,
addition(esk2_0,multiplication(addition(esk1_0,c(esk2_0)),esk1_0)) = addition(esk1_0,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_107]),c_0_70]),c_0_82]),c_0_83]),c_0_108]),c_0_109]),c_0_96]),c_0_34]),c_0_92]) ).
cnf(c_0_120,plain,
( multiplication(addition(X1,X2),esk3_1(X1)) = multiplication(X2,esk3_1(X1))
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_28]),c_0_43]) ).
cnf(c_0_121,negated_conjecture,
multiplication(c(esk1_0),esk3_1(esk1_0)) = c(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_44]),c_0_76]),c_0_37])]) ).
cnf(c_0_122,negated_conjecture,
multiplication(esk1_0,c(esk1_0)) = zero,
inference(er,[status(thm)],[c_0_111]) ).
cnf(c_0_123,negated_conjecture,
multiplication(esk2_0,c(esk2_0)) = zero,
inference(er,[status(thm)],[c_0_112]) ).
cnf(c_0_124,negated_conjecture,
multiplication(esk2_0,esk2_0) = esk2_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_85]),c_0_27]) ).
cnf(c_0_125,negated_conjecture,
multiplication(c(esk1_0),multiplication(c(esk2_0),esk1_0)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_64]),c_0_116]) ).
cnf(c_0_126,negated_conjecture,
addition(esk1_0,addition(esk2_0,multiplication(c(esk2_0),esk1_0))) = addition(esk1_0,esk2_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_117,c_0_99]),c_0_70]),c_0_118]),c_0_70]),c_0_119]),c_0_80]) ).
cnf(c_0_127,negated_conjecture,
esk3_1(esk1_0) = c(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_74]),c_0_27]),c_0_121]),c_0_37])]) ).
cnf(c_0_128,negated_conjecture,
multiplication(addition(esk1_0,X1),c(esk1_0)) = multiplication(X1,c(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_122]),c_0_43]) ).
cnf(c_0_129,negated_conjecture,
multiplication(esk2_0,multiplication(c(esk2_0),X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_123]),c_0_41]) ).
cnf(c_0_130,negated_conjecture,
multiplication(esk1_0,addition(c(esk1_0),X1)) = multiplication(esk1_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_122]),c_0_43]) ).
cnf(c_0_131,negated_conjecture,
multiplication(esk2_0,addition(esk2_0,X1)) = multiplication(esk2_0,addition(one,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_124]),c_0_84]) ).
cnf(c_0_132,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_27]),c_0_34]) ).
cnf(c_0_133,negated_conjecture,
multiplication(c(esk1_0),addition(one,multiplication(c(esk2_0),esk1_0))) = c(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_125]),c_0_33]) ).
cnf(c_0_134,negated_conjecture,
addition(one,c(esk1_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_74]),c_0_34]) ).
cnf(c_0_135,negated_conjecture,
addition(esk2_0,addition(c(esk2_0),X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_70,c_0_85]) ).
cnf(c_0_136,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_34]) ).
cnf(c_0_137,negated_conjecture,
multiplication(addition(esk2_0,multiplication(c(esk2_0),esk1_0)),c(esk1_0)) = multiplication(esk2_0,c(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_126]),c_0_127]),c_0_128]),c_0_127]),c_0_37])]) ).
cnf(c_0_138,negated_conjecture,
multiplication(esk2_0,addition(X1,multiplication(c(esk2_0),X2))) = multiplication(esk2_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_129]),c_0_33]) ).
cnf(c_0_139,negated_conjecture,
addition(multiplication(esk1_0,esk2_0),multiplication(c(esk2_0),c(esk1_0))) = multiplication(addition(esk1_0,c(esk2_0)),addition(esk2_0,c(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_130]),c_0_34]),c_0_34]),c_0_34]) ).
cnf(c_0_140,negated_conjecture,
multiplication(esk2_0,addition(one,multiplication(esk2_0,esk1_0))) = esk2_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_98]),c_0_124]) ).
cnf(c_0_141,plain,
addition(X1,addition(X2,multiplication(X1,addition(one,X3)))) = addition(X2,multiplication(X1,addition(one,X3))),
inference(spm,[status(thm)],[c_0_108,c_0_84]) ).
cnf(c_0_142,negated_conjecture,
addition(one,addition(c(esk1_0),multiplication(c(esk2_0),esk1_0))) = addition(one,multiplication(c(esk2_0),esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_70]),c_0_34]),c_0_134]),c_0_27]),c_0_34]) ).
cnf(c_0_143,negated_conjecture,
addition(one,multiplication(c(esk2_0),esk1_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_98]),c_0_85]) ).
cnf(c_0_144,negated_conjecture,
addition(X1,addition(X2,multiplication(addition(X1,X2),esk1_0))) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_70,c_0_98]) ).
cnf(c_0_145,negated_conjecture,
addition(esk2_0,addition(multiplication(esk2_0,c(esk1_0)),multiplication(c(esk2_0),esk1_0))) = addition(esk2_0,multiplication(c(esk2_0),esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_70]),c_0_34]),c_0_101]),c_0_76]),c_0_34]) ).
cnf(c_0_146,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_34]),c_0_70]) ).
cnf(c_0_147,negated_conjecture,
addition(X1,multiplication(X1,c(esk1_0))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_134]),c_0_76]) ).
cnf(c_0_148,plain,
addition(X1,multiplication(X2,multiplication(X3,X1))) = multiplication(addition(one,multiplication(X2,X3)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_116]),c_0_34]) ).
cnf(c_0_149,negated_conjecture,
multiplication(esk2_0,multiplication(addition(esk1_0,c(esk2_0)),addition(esk2_0,c(esk1_0)))) = multiplication(esk2_0,multiplication(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_150,negated_conjecture,
multiplication(esk2_0,addition(X1,c(esk2_0))) = multiplication(esk2_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_123]),c_0_33]) ).
cnf(c_0_151,negated_conjecture,
addition(one,multiplication(esk2_0,esk1_0)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_140]),c_0_70]),c_0_34]),c_0_91]),c_0_27]),c_0_34]),c_0_98]),c_0_91]) ).
cnf(c_0_152,negated_conjecture,
multiplication(esk2_0,addition(c(esk2_0),X1)) = multiplication(esk2_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_123]),c_0_43]) ).
cnf(c_0_153,negated_conjecture,
addition(X1,multiplication(esk2_0,addition(one,X1))) = addition(esk2_0,X1),
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_132,c_0_131]),c_0_70]),c_0_34]),c_0_91]),c_0_27]),c_0_141]) ).
cnf(c_0_154,negated_conjecture,
addition(one,addition(c(esk1_0),multiplication(c(esk2_0),esk1_0))) = one,
inference(rw,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_155,negated_conjecture,
addition(esk2_0,multiplication(c(esk2_0),esk1_0)) = addition(esk1_0,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_70]),c_0_63]),c_0_146]),c_0_98]),c_0_85]),c_0_27]),c_0_34]),c_0_146]),c_0_147]) ).
cnf(c_0_156,plain,
addition(X1,multiplication(X1,c(X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_101]),c_0_76]) ).
cnf(c_0_157,negated_conjecture,
multiplication(c(esk2_0),addition(esk2_0,X1)) = multiplication(c(esk2_0),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_72]),c_0_43]) ).
cnf(c_0_158,negated_conjecture,
addition(one,addition(esk2_0,X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_70,c_0_91]) ).
cnf(c_0_159,negated_conjecture,
addition(esk2_0,addition(multiplication(esk2_0,multiplication(esk1_0,esk2_0)),c(esk1_0))) = addition(esk2_0,c(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_70]),c_0_150]),c_0_151]),c_0_27]),c_0_34]) ).
cnf(c_0_160,negated_conjecture,
( multiplication(esk2_0,esk3_1(c(esk2_0))) = esk2_0
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_44]),c_0_76]) ).
cnf(c_0_161,plain,
( multiplication(X1,addition(X2,esk3_1(X1))) = multiplication(X1,X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_28]),c_0_33]) ).
cnf(c_0_162,plain,
( test(X1)
| addition(X2,addition(X3,X1)) != one
| multiplication(X1,addition(X2,X3)) != zero
| multiplication(addition(X2,X3),X1) != zero ),
inference(spm,[status(thm)],[c_0_39,c_0_96]) ).
cnf(c_0_163,negated_conjecture,
addition(esk2_0,addition(c(esk1_0),multiplication(c(esk2_0),esk1_0))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_76]),c_0_70]),c_0_34]),c_0_155]),c_0_96]),c_0_34]),c_0_74]),c_0_34]),c_0_91]) ).
cnf(c_0_164,negated_conjecture,
multiplication(esk1_0,addition(X1,c(esk1_0))) = multiplication(esk1_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_122]),c_0_33]) ).
cnf(c_0_165,negated_conjecture,
multiplication(c(esk2_0),multiplication(esk1_0,esk2_0)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_98]),c_0_72]),c_0_116]) ).
cnf(c_0_166,negated_conjecture,
multiplication(addition(esk2_0,X1),multiplication(c(esk2_0),X2)) = multiplication(X1,multiplication(c(esk2_0),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_129]),c_0_43]) ).
cnf(c_0_167,negated_conjecture,
multiplication(c(esk1_0),multiplication(c(X1),esk1_0)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_156]),c_0_64]),c_0_116]) ).
cnf(c_0_168,plain,
( multiplication(esk3_1(X1),X1) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_22]) ).
cnf(c_0_169,negated_conjecture,
multiplication(c(esk2_0),esk3_1(esk2_0)) = c(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_44]),c_0_76]),c_0_46])]) ).
cnf(c_0_170,negated_conjecture,
addition(X1,multiplication(X1,esk2_0)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_91]),c_0_76]) ).
cnf(c_0_171,negated_conjecture,
multiplication(c(esk2_0),multiplication(addition(one,X1),esk2_0)) = multiplication(c(esk2_0),multiplication(X1,esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_84]),c_0_116]),c_0_116]) ).
cnf(c_0_172,negated_conjecture,
addition(one,addition(multiplication(esk2_0,multiplication(esk1_0,esk2_0)),c(esk1_0))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_158]),c_0_101]) ).
cnf(c_0_173,plain,
( multiplication(addition(X1,X2),esk3_1(X2)) = multiplication(X1,esk3_1(X2))
| ~ test(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_28]),c_0_33]) ).
cnf(c_0_174,negated_conjecture,
multiplication(esk2_0,esk3_1(c(esk2_0))) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_94])]) ).
cnf(c_0_175,plain,
( multiplication(X1,X1) = X1
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_44]),c_0_76]) ).
cnf(c_0_176,negated_conjecture,
test(multiplication(c(esk2_0),esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_116]),c_0_164]),c_0_165]),c_0_166]),c_0_167])]) ).
cnf(c_0_177,plain,
( multiplication(esk3_1(X1),addition(X1,X2)) = multiplication(esk3_1(X1),X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_168]),c_0_43]) ).
cnf(c_0_178,negated_conjecture,
esk3_1(esk2_0) = c(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_85]),c_0_27]),c_0_169]),c_0_46])]) ).
cnf(c_0_179,plain,
addition(one,addition(X1,addition(X2,multiplication(X2,X1)))) = multiplication(addition(X2,one),addition(one,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_84]),c_0_70]) ).
cnf(c_0_180,negated_conjecture,
multiplication(c(esk1_0),multiplication(esk2_0,esk1_0)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_170]),c_0_64]),c_0_116]) ).
cnf(c_0_181,negated_conjecture,
multiplication(c(esk2_0),multiplication(addition(multiplication(esk2_0,multiplication(esk1_0,esk2_0)),c(esk1_0)),esk2_0)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_27]),c_0_72]) ).
cnf(c_0_182,plain,
addition(multiplication(X1,multiplication(X2,X3)),multiplication(X4,X3)) = multiplication(addition(multiplication(X1,X2),X4),X3),
inference(spm,[status(thm)],[c_0_63,c_0_116]) ).
cnf(c_0_183,negated_conjecture,
multiplication(addition(c(esk2_0),X1),multiplication(esk1_0,esk2_0)) = multiplication(X1,multiplication(esk1_0,esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_165]),c_0_43]) ).
cnf(c_0_184,negated_conjecture,
esk3_1(c(esk2_0)) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_85]),c_0_27]),c_0_174]),c_0_94])]) ).
cnf(c_0_185,negated_conjecture,
multiplication(c(esk2_0),multiplication(esk1_0,multiplication(c(esk2_0),esk1_0))) = multiplication(c(esk2_0),esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_116]) ).
cnf(c_0_186,negated_conjecture,
multiplication(c(esk2_0),multiplication(c(esk2_0),esk1_0)) = multiplication(c(esk2_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_155]),c_0_178]),c_0_118]),c_0_178]),c_0_46])]) ).
cnf(c_0_187,plain,
multiplication(c(X1),c(X1)) = c(X1),
inference(spm,[status(thm)],[c_0_175,c_0_94]) ).
cnf(c_0_188,negated_conjecture,
multiplication(addition(X1,esk2_0),c(esk2_0)) = multiplication(X1,c(esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_123]),c_0_33]) ).
cnf(c_0_189,negated_conjecture,
addition(one,addition(multiplication(esk2_0,esk1_0),c(esk1_0))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_33]),c_0_34]),c_0_101]),c_0_151]),c_0_27]) ).
cnf(c_0_190,negated_conjecture,
multiplication(addition(multiplication(esk2_0,multiplication(esk1_0,esk2_0)),c(esk1_0)),esk2_0) = multiplication(addition(multiplication(esk2_0,esk1_0),c(esk1_0)),esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_181]),c_0_82]),c_0_116]),c_0_116]),c_0_124]),c_0_33]),c_0_182]),c_0_101]),c_0_27]) ).
cnf(c_0_191,negated_conjecture,
multiplication(esk2_0,multiplication(esk1_0,esk2_0)) = multiplication(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_44]),c_0_27]),c_0_184]),c_0_94])]) ).
cnf(c_0_192,negated_conjecture,
addition(multiplication(X1,X2),addition(multiplication(c(esk2_0),X2),multiplication(X1,esk2_0))) = multiplication(addition(X1,c(esk2_0)),addition(X2,esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_113]),c_0_82]) ).
cnf(c_0_193,negated_conjecture,
multiplication(esk1_0,multiplication(c(esk2_0),esk1_0)) = multiplication(c(esk2_0),esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_185]),c_0_182]),c_0_34]),c_0_106]),c_0_34]),c_0_101]),c_0_27]) ).
cnf(c_0_194,negated_conjecture,
multiplication(addition(esk1_0,c(esk2_0)),esk1_0) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_186]),c_0_92]),c_0_187]),c_0_101]),c_0_27]) ).
cnf(c_0_195,negated_conjecture,
addition(multiplication(X1,esk2_0),multiplication(addition(X1,c(esk2_0)),X2)) = multiplication(addition(X1,c(esk2_0)),addition(esk2_0,X2)),
inference(spm,[status(thm)],[c_0_75,c_0_113]) ).
cnf(c_0_196,negated_conjecture,
multiplication(addition(esk1_0,c(esk2_0)),multiplication(esk1_0,c(esk2_0))) = multiplication(esk1_0,c(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_119]),c_0_178]),c_0_188]),c_0_178]),c_0_116]),c_0_46])]) ).
cnf(c_0_197,negated_conjecture,
multiplication(c(esk2_0),multiplication(addition(multiplication(esk2_0,esk1_0),c(esk1_0)),esk2_0)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_189]),c_0_27]),c_0_72]) ).
cnf(c_0_198,negated_conjecture,
multiplication(addition(multiplication(esk2_0,esk1_0),c(esk1_0)),esk2_0) = multiplication(addition(multiplication(esk1_0,esk2_0),c(esk1_0)),esk2_0),
inference(rw,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_199,plain,
addition(X1,multiplication(X2,addition(X3,one))) = addition(X2,addition(X1,multiplication(X2,X3))),
inference(spm,[status(thm)],[c_0_146,c_0_136]) ).
cnf(c_0_200,negated_conjecture,
addition(multiplication(esk1_0,esk2_0),multiplication(c(esk2_0),esk1_0)) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_186]),c_0_34]),c_0_95]),c_0_34]),c_0_155]),c_0_99]),c_0_194]) ).
cnf(c_0_201,negated_conjecture,
multiplication(addition(esk1_0,c(esk2_0)),addition(esk2_0,multiplication(esk1_0,c(esk2_0)))) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_75]),c_0_85]),c_0_76]) ).
cnf(c_0_202,negated_conjecture,
multiplication(c(esk2_0),multiplication(addition(multiplication(esk1_0,esk2_0),c(esk1_0)),esk2_0)) = zero,
inference(rw,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_203,negated_conjecture,
( multiplication(esk1_0,esk3_1(c(esk1_0))) = esk1_0
| ~ test(c(esk1_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_44]),c_0_76]) ).
cnf(c_0_204,negated_conjecture,
multiplication(c(esk2_0),addition(multiplication(esk1_0,esk2_0),X1)) = multiplication(c(esk2_0),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_165]),c_0_43]) ).
cnf(c_0_205,negated_conjecture,
addition(multiplication(esk1_0,esk2_0),c(esk2_0)) = addition(esk1_0,c(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_34]),c_0_88]),c_0_76]),c_0_34]) ).
cnf(c_0_206,negated_conjecture,
addition(esk2_0,multiplication(esk1_0,c(esk2_0))) = addition(esk1_0,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_201]),c_0_70]),c_0_34]),c_0_115]),c_0_34]),c_0_70]),c_0_34]),c_0_101]),c_0_34]),c_0_88]),c_0_27]) ).
cnf(c_0_207,negated_conjecture,
multiplication(c(esk2_0),multiplication(esk1_0,c(esk2_0))) = multiplication(esk1_0,c(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_155]),c_0_178]),c_0_188]),c_0_178]),c_0_116]),c_0_46])]) ).
cnf(c_0_208,negated_conjecture,
multiplication(addition(multiplication(esk1_0,esk2_0),c(esk1_0)),esk2_0) = esk2_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_202]),c_0_82]),c_0_116]),c_0_124]),c_0_33]),c_0_63]),c_0_74]),c_0_27]),c_0_101]),c_0_27]) ).
cnf(c_0_209,plain,
addition(multiplication(X1,addition(X2,X3)),X4) = addition(multiplication(X1,X2),addition(multiplication(X1,X3),X4)),
inference(spm,[status(thm)],[c_0_70,c_0_75]) ).
cnf(c_0_210,negated_conjecture,
addition(esk2_0,addition(multiplication(esk1_0,esk2_0),c(esk1_0))) = addition(esk2_0,c(esk1_0)),
inference(rw,[status(thm)],[c_0_159,c_0_191]) ).
cnf(c_0_211,negated_conjecture,
multiplication(esk1_0,esk3_1(c(esk1_0))) = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_94])]) ).
cnf(c_0_212,negated_conjecture,
addition(multiplication(X1,X2),addition(multiplication(c(esk1_0),X2),multiplication(X1,esk1_0))) = multiplication(addition(X1,c(esk1_0)),addition(X2,esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_73]),c_0_82]) ).
cnf(c_0_213,negated_conjecture,
multiplication(c(esk2_0),addition(esk1_0,c(esk2_0))) = c(esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_187]) ).
cnf(c_0_214,negated_conjecture,
multiplication(c(esk2_0),esk1_0) = multiplication(esk1_0,c(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_206]),c_0_178]),c_0_118]),c_0_178]),c_0_207]),c_0_46])]) ).
cnf(c_0_215,negated_conjecture,
multiplication(addition(multiplication(esk2_0,esk1_0),c(esk1_0)),esk2_0) = esk2_0,
inference(rw,[status(thm)],[c_0_198,c_0_208]) ).
cnf(c_0_216,negated_conjecture,
addition(X1,addition(multiplication(X1,esk1_0),X2)) = addition(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_88]),c_0_76]),c_0_76]) ).
cnf(c_0_217,negated_conjecture,
addition(multiplication(esk1_0,esk2_0),c(esk1_0)) = addition(esk2_0,c(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_208]),c_0_70]),c_0_34]),c_0_146]),c_0_210]),c_0_34]),c_0_91]),c_0_76]) ).
cnf(c_0_218,negated_conjecture,
esk3_1(c(esk1_0)) = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_74]),c_0_27]),c_0_211]),c_0_94])]) ).
cnf(c_0_219,negated_conjecture,
multiplication(esk1_0,addition(one,X1)) = multiplication(esk1_0,addition(X1,esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_83]),c_0_34]),c_0_84]) ).
cnf(c_0_220,negated_conjecture,
multiplication(addition(c(esk1_0),c(esk2_0)),addition(esk1_0,c(esk2_0))) = c(esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_110]),c_0_214]),c_0_63]),c_0_34]),c_0_74]),c_0_27]),c_0_71]),c_0_34]),c_0_70]),c_0_34]),c_0_80]) ).
cnf(c_0_221,plain,
( multiplication(esk3_1(X1),addition(X2,X1)) = multiplication(esk3_1(X1),X2)
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_168]),c_0_33]) ).
cnf(c_0_222,negated_conjecture,
addition(multiplication(esk2_0,esk1_0),c(esk1_0)) = addition(esk2_0,c(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_215]),c_0_70]),c_0_34]),c_0_146]),c_0_216]),c_0_34]),c_0_91]),c_0_76]) ).
cnf(c_0_223,negated_conjecture,
multiplication(esk1_0,multiplication(esk2_0,esk1_0)) = multiplication(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_217]),c_0_218]),c_0_73]),c_0_218]),c_0_116]),c_0_94])]) ).
cnf(c_0_224,negated_conjecture,
multiplication(esk1_0,addition(X1,esk1_0)) = multiplication(esk1_0,addition(X1,one)),
inference(spm,[status(thm)],[c_0_219,c_0_34]) ).
cnf(c_0_225,negated_conjecture,
addition(multiplication(c(esk1_0),esk2_0),c(esk2_0)) = addition(c(esk1_0),c(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_192,c_0_220]),c_0_213]),c_0_113]),c_0_34]),c_0_95]),c_0_70]),c_0_71]),c_0_70]),c_0_34]),c_0_85]),c_0_34]),c_0_88]),c_0_76]) ).
cnf(c_0_226,negated_conjecture,
multiplication(addition(esk1_0,c(esk2_0)),addition(esk1_0,esk2_0)) = esk1_0,
inference(rw,[status(thm)],[c_0_99,c_0_194]) ).
cnf(c_0_227,negated_conjecture,
addition(esk1_0,addition(c(esk1_0),X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_70,c_0_74]) ).
cnf(c_0_228,negated_conjecture,
addition(esk2_0,addition(multiplication(esk2_0,X1),multiplication(X2,addition(esk2_0,X1)))) = multiplication(addition(esk2_0,X2),addition(esk2_0,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_131]),c_0_209]),c_0_76]) ).
cnf(c_0_229,negated_conjecture,
multiplication(esk2_0,esk1_0) = multiplication(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_218]),c_0_164]),c_0_218]),c_0_223]),c_0_94])]) ).
cnf(c_0_230,negated_conjecture,
addition(esk1_0,addition(multiplication(X1,X2),addition(multiplication(X1,esk1_0),multiplication(esk1_0,X2)))) = multiplication(addition(X1,esk1_0),addition(X2,esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_224]),c_0_209]),c_0_199]),c_0_146]) ).
cnf(c_0_231,negated_conjecture,
multiplication(esk2_0,multiplication(c(esk1_0),esk2_0)) = multiplication(esk2_0,c(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_225]),c_0_184]),c_0_150]),c_0_184]),c_0_94])]) ).
cnf(c_0_232,negated_conjecture,
multiplication(esk1_0,multiplication(c(esk1_0),X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_122]),c_0_41]) ).
cnf(c_0_233,negated_conjecture,
addition(X1,addition(multiplication(X1,esk2_0),X2)) = addition(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_91]),c_0_76]),c_0_76]) ).
cnf(c_0_234,negated_conjecture,
addition(esk1_0,multiplication(c(esk1_0),esk2_0)) = addition(esk1_0,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_212,c_0_226]),c_0_110]),c_0_194]),c_0_34]),c_0_80]),c_0_70]),c_0_34]),c_0_227]),c_0_101]),c_0_70]),c_0_34]),c_0_80]),c_0_27]) ).
cnf(c_0_235,negated_conjecture,
multiplication(addition(esk1_0,esk2_0),addition(esk1_0,esk2_0)) = addition(esk1_0,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_224]),c_0_229]),c_0_34]),c_0_91]),c_0_76]),c_0_34]),c_0_170]),c_0_34]),c_0_34]),c_0_34]) ).
cnf(c_0_236,negated_conjecture,
addition(esk1_0,multiplication(esk2_0,c(esk1_0))) = addition(esk1_0,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_229]),c_0_232]),c_0_33]),c_0_34]),c_0_233]),c_0_34]),c_0_34]),c_0_234]),c_0_235]) ).
cnf(c_0_237,negated_conjecture,
multiplication(c(esk1_0),multiplication(esk2_0,c(esk1_0))) = multiplication(esk2_0,c(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_234]),c_0_127]),c_0_128]),c_0_127]),c_0_116]),c_0_37])]) ).
fof(c_0_238,plain,
! [X3,X4,X3,X4] :
( ( ~ leq(X3,X4)
| addition(X3,X4) = X4 )
& ( addition(X3,X4) != X4
| leq(X3,X4) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])])])]) ).
cnf(c_0_239,negated_conjecture,
multiplication(c(esk1_0),esk2_0) = multiplication(esk2_0,c(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_236]),c_0_127]),c_0_110]),c_0_127]),c_0_237]),c_0_37])]) ).
cnf(c_0_240,negated_conjecture,
( ~ leq(addition(c(esk1_0),c(esk2_0)),c(multiplication(esk1_0,esk2_0)))
| ~ leq(c(multiplication(esk1_0,esk2_0)),addition(c(esk1_0),c(esk2_0))) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_241,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_238]) ).
cnf(c_0_242,plain,
( c(X1) = X2
| addition(X2,X1) != one
| multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_30]) ).
cnf(c_0_243,negated_conjecture,
addition(multiplication(X1,esk1_0),addition(multiplication(X1,c(esk1_0)),X2)) = addition(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_74]),c_0_76]) ).
cnf(c_0_244,negated_conjecture,
addition(multiplication(esk2_0,c(esk1_0)),c(esk2_0)) = addition(c(esk1_0),c(esk2_0)),
inference(rw,[status(thm)],[c_0_225,c_0_239]) ).
cnf(c_0_245,negated_conjecture,
multiplication(c(esk1_0),multiplication(esk1_0,X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_64]),c_0_41]) ).
cnf(c_0_246,negated_conjecture,
addition(X1,multiplication(esk2_0,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_170]),c_0_27]),c_0_27]) ).
cnf(c_0_247,negated_conjecture,
( addition(c(esk1_0),addition(c(esk2_0),c(multiplication(esk1_0,esk2_0)))) != addition(c(esk1_0),c(esk2_0))
| ~ leq(addition(c(esk1_0),c(esk2_0)),c(multiplication(esk1_0,esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_34]),c_0_70]) ).
cnf(c_0_248,plain,
( c(X1) = X2
| addition(X1,X2) != one
| multiplication(X2,X1) != zero
| multiplication(X1,X2) != zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_34]),c_0_39]) ).
cnf(c_0_249,negated_conjecture,
addition(multiplication(esk1_0,esk2_0),addition(c(esk1_0),c(esk2_0))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_229]),c_0_85]) ).
cnf(c_0_250,negated_conjecture,
multiplication(addition(c(esk1_0),X1),multiplication(esk1_0,X2)) = multiplication(X1,multiplication(esk1_0,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_245]),c_0_43]) ).
cnf(c_0_251,negated_conjecture,
multiplication(esk1_0,multiplication(esk2_0,c(esk1_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_246]),c_0_122]) ).
cnf(c_0_252,negated_conjecture,
( addition(c(esk1_0),addition(c(esk2_0),c(multiplication(esk1_0,esk2_0)))) != addition(c(esk1_0),c(esk2_0))
| addition(c(esk1_0),addition(c(esk2_0),c(multiplication(esk1_0,esk2_0)))) != c(multiplication(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_241]),c_0_70]) ).
cnf(c_0_253,negated_conjecture,
c(multiplication(esk1_0,esk2_0)) = addition(c(esk1_0),c(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_250]),c_0_165]),c_0_116]),c_0_150]),c_0_251])]) ).
cnf(c_0_254,negated_conjecture,
$false,
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)],[c_0_252,c_0_253]),c_0_95]),c_0_80]),c_0_253]),c_0_95]),c_0_80]),c_0_253])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KLE016+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 13:35:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.21/2.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/2.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/2.40 # Preprocessing time : 0.015 s
% 0.21/2.40
% 0.21/2.40 # Proof found!
% 0.21/2.40 # SZS status Theorem
% 0.21/2.40 # SZS output start CNFRefutation
% See solution above
% 0.21/2.40 # Proof object total steps : 255
% 0.21/2.40 # Proof object clause steps : 220
% 0.21/2.40 # Proof object formula steps : 35
% 0.21/2.40 # Proof object conjectures : 150
% 0.21/2.40 # Proof object clause conjectures : 147
% 0.21/2.40 # Proof object formula conjectures : 3
% 0.21/2.40 # Proof object initial clauses used : 24
% 0.21/2.40 # Proof object initial formulas used : 17
% 0.21/2.40 # Proof object generating inferences : 185
% 0.21/2.40 # Proof object simplifying inferences : 419
% 0.21/2.40 # Training examples: 0 positive, 0 negative
% 0.21/2.40 # Parsed axioms : 17
% 0.21/2.40 # Removed by relevancy pruning/SinE : 0
% 0.21/2.40 # Initial clauses : 25
% 0.21/2.40 # Removed in clause preprocessing : 0
% 0.21/2.40 # Initial clauses in saturation : 25
% 0.21/2.40 # Processed clauses : 6979
% 0.21/2.40 # ...of these trivial : 552
% 0.21/2.40 # ...subsumed : 5245
% 0.21/2.40 # ...remaining for further processing : 1182
% 0.21/2.40 # Other redundant clauses eliminated : 206
% 0.21/2.40 # Clauses deleted for lack of memory : 0
% 0.21/2.40 # Backward-subsumed : 161
% 0.21/2.40 # Backward-rewritten : 342
% 0.21/2.40 # Generated clauses : 105840
% 0.21/2.40 # ...of the previous two non-trivial : 80945
% 0.21/2.40 # Contextual simplify-reflections : 2495
% 0.21/2.40 # Paramodulations : 105592
% 0.21/2.40 # Factorizations : 1
% 0.21/2.40 # Equation resolutions : 247
% 0.21/2.40 # Current number of processed clauses : 679
% 0.21/2.40 # Positive orientable unit clauses : 287
% 0.21/2.40 # Positive unorientable unit clauses: 47
% 0.21/2.40 # Negative unit clauses : 18
% 0.21/2.40 # Non-unit-clauses : 327
% 0.21/2.40 # Current number of unprocessed clauses: 55728
% 0.21/2.40 # ...number of literals in the above : 100374
% 0.21/2.40 # Current number of archived formulas : 0
% 0.21/2.40 # Current number of archived clauses : 503
% 0.21/2.40 # Clause-clause subsumption calls (NU) : 144107
% 0.21/2.40 # Rec. Clause-clause subsumption calls : 93988
% 0.21/2.40 # Non-unit clause-clause subsumptions : 4109
% 0.21/2.40 # Unit Clause-clause subsumption calls : 4740
% 0.21/2.40 # Rewrite failures with RHS unbound : 0
% 0.21/2.40 # BW rewrite match attempts : 1643
% 0.21/2.40 # BW rewrite match successes : 320
% 0.21/2.40 # Condensation attempts : 0
% 0.21/2.40 # Condensation successes : 0
% 0.21/2.40 # Termbank termtop insertions : 1932956
% 0.21/2.40
% 0.21/2.40 # -------------------------------------------------
% 0.21/2.40 # User time : 1.565 s
% 0.21/2.40 # System time : 0.035 s
% 0.21/2.40 # Total time : 1.600 s
% 0.21/2.40 # Maximum resident set size: 77000 pages
%------------------------------------------------------------------------------