TSTP Solution File: KLE014+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE014+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 01:49:34 EDT 2022
% Result : Theorem 11.17s 2.80s
% Output : CNFRefutation 11.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 15
% Syntax : Number of formulae : 155 ( 108 unt; 0 def)
% Number of atoms : 236 ( 156 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 149 ( 68 ~; 64 |; 11 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 165 ( 9 sgn 56 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(test_3,axiom,
! [X4,X5] :
( test(X4)
=> ( c(X4) = X5
<=> complement(X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).
fof(test_2,axiom,
! [X4,X5] :
( complement(X5,X4)
<=> ( multiplication(X4,X5) = zero
& multiplication(X5,X4) = zero
& addition(X4,X5) = one ) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(goals,conjecture,
! [X4,X5] :
( ( test(X5)
& test(X4) )
=> c(addition(X4,X5)) = multiplication(c(X4),c(X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(test_1,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_1) ).
fof(right_distributivity,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(right_annihilation,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
fof(c_0_15,plain,
! [X34,X35] :
( ( c(X34) != X35
| complement(X34,X35)
| ~ test(X34) )
& ( ~ complement(X34,X35)
| c(X34) = X35
| ~ test(X34) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_3])])]) ).
fof(c_0_16,plain,
! [X32,X33] :
( ( multiplication(X32,X33) = zero
| ~ complement(X33,X32) )
& ( multiplication(X33,X32) = zero
| ~ complement(X33,X32) )
& ( addition(X32,X33) = one
| ~ complement(X33,X32) )
& ( multiplication(X32,X33) != zero
| multiplication(X33,X32) != zero
| addition(X32,X33) != one
| complement(X33,X32) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_2])])]) ).
cnf(c_0_17,plain,
( complement(X1,X2)
| c(X1) != X2
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_18,plain,
! [X6,X7] : addition(X6,X7) = addition(X7,X6),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_19,plain,
! [X21,X22,X23] : multiplication(addition(X21,X22),X23) = addition(multiplication(X21,X23),multiplication(X22,X23)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
cnf(c_0_20,plain,
( addition(X1,X2) = one
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( complement(X1,c(X1))
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_23,plain,
! [X17] : multiplication(one,X17) = X17,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_24,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( addition(X1,c(X1)) = one
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_26,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,plain,
( multiplication(X1,X2) = zero
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_28,plain,
! [X11] : addition(X11,zero) = X11,
inference(variable_rename,[status(thm)],[additive_identity]) ).
fof(c_0_29,negated_conjecture,
~ ! [X4,X5] :
( ( test(X5)
& test(X4) )
=> c(addition(X4,X5)) = multiplication(c(X4),c(X5)) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_30,plain,
! [X13,X14,X15] : multiplication(X13,multiplication(X14,X15)) = multiplication(multiplication(X13,X14),X15),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
fof(c_0_31,plain,
! [X25] : multiplication(zero,X25) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
cnf(c_0_32,plain,
( addition(multiplication(X1,X2),multiplication(c(X1),X2)) = X2
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_33,plain,
( multiplication(c(X1),X1) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_21]) ).
cnf(c_0_34,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_35,negated_conjecture,
( test(esk3_0)
& test(esk2_0)
& c(addition(esk2_0,esk3_0)) != multiplication(c(esk2_0),c(esk3_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
cnf(c_0_36,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
( multiplication(X1,X1) = X1
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_39,negated_conjecture,
test(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,negated_conjecture,
test(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
( multiplication(c(X1),multiplication(X1,X2)) = zero
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_33]),c_0_37]) ).
cnf(c_0_42,negated_conjecture,
multiplication(esk3_0,esk3_0) = esk3_0,
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_43,plain,
! [X28,X30,X31] :
( ( ~ test(X28)
| complement(esk1_1(X28),X28) )
& ( ~ complement(X31,X30)
| test(X30) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[test_1])])])])]) ).
cnf(c_0_44,negated_conjecture,
multiplication(esk2_0,esk2_0) = esk2_0,
inference(spm,[status(thm)],[c_0_38,c_0_40]) ).
fof(c_0_45,plain,
! [X18,X19,X20] : multiplication(X18,addition(X19,X20)) = addition(multiplication(X18,X19),multiplication(X18,X20)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
fof(c_0_46,plain,
! [X16] : multiplication(X16,one) = X16,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
cnf(c_0_47,negated_conjecture,
multiplication(c(esk3_0),esk3_0) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_39])]) ).
cnf(c_0_48,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_22]) ).
cnf(c_0_49,plain,
( test(X2)
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,negated_conjecture,
multiplication(c(esk2_0),esk2_0) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_44]),c_0_40])]) ).
cnf(c_0_51,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_53,negated_conjecture,
( multiplication(c(c(esk3_0)),esk3_0) = esk3_0
| ~ test(c(esk3_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_47]),c_0_48]) ).
cnf(c_0_54,plain,
( test(c(X1))
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_21]) ).
cnf(c_0_55,negated_conjecture,
( multiplication(c(c(esk2_0)),esk2_0) = esk2_0
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_50]),c_0_48]) ).
fof(c_0_56,plain,
! [X8,X9,X10] : addition(X10,addition(X9,X8)) = addition(addition(X10,X9),X8),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_57,plain,
! [X12] : addition(X12,X12) = X12,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
cnf(c_0_58,plain,
( addition(multiplication(X1,X2),multiplication(X1,c(X2))) = X1
| ~ test(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_25]),c_0_52]) ).
cnf(c_0_59,negated_conjecture,
multiplication(c(c(esk3_0)),esk3_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_39])]) ).
cnf(c_0_60,negated_conjecture,
multiplication(c(c(esk2_0)),esk2_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_54]),c_0_40])]) ).
cnf(c_0_61,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_62,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_63,plain,
( complement(esk1_1(X1),X1)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_64,negated_conjecture,
addition(esk3_0,multiplication(c(c(esk3_0)),c(esk3_0))) = c(c(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_39])]) ).
cnf(c_0_65,negated_conjecture,
addition(esk2_0,multiplication(c(c(esk2_0)),c(esk2_0))) = c(c(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_60]),c_0_40])]) ).
cnf(c_0_66,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_67,plain,
( addition(X1,esk1_1(X1)) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_63]) ).
cnf(c_0_68,negated_conjecture,
( c(c(esk3_0)) = esk3_0
| ~ test(c(esk3_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_33]),c_0_34]) ).
cnf(c_0_69,plain,
( multiplication(X1,X2) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_70,negated_conjecture,
( c(c(esk2_0)) = esk2_0
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_33]),c_0_34]) ).
cnf(c_0_71,plain,
( addition(X1,one) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,negated_conjecture,
c(c(esk3_0)) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_54]),c_0_39])]) ).
cnf(c_0_73,plain,
( multiplication(X1,c(X1)) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_21]) ).
cnf(c_0_74,negated_conjecture,
c(c(esk2_0)) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_54]),c_0_40])]) ).
cnf(c_0_75,negated_conjecture,
addition(one,esk2_0) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_40]),c_0_22]) ).
cnf(c_0_76,plain,
( complement(X2,X1)
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero
| addition(X1,X2) != one ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_77,negated_conjecture,
( addition(esk3_0,c(esk3_0)) = one
| ~ test(c(esk3_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_72]),c_0_22]) ).
cnf(c_0_78,plain,
( multiplication(X1,multiplication(c(X1),X2)) = zero
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_73]),c_0_37]) ).
cnf(c_0_79,negated_conjecture,
multiplication(c(esk3_0),c(esk3_0)) = c(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_47]),c_0_48]),c_0_39])]) ).
cnf(c_0_80,negated_conjecture,
addition(one,esk3_0) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_39]),c_0_22]) ).
cnf(c_0_81,negated_conjecture,
( addition(esk2_0,c(esk2_0)) = one
| ~ test(c(esk2_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_74]),c_0_22]) ).
cnf(c_0_82,negated_conjecture,
multiplication(c(esk2_0),c(esk2_0)) = c(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_50]),c_0_48]),c_0_40])]) ).
cnf(c_0_83,negated_conjecture,
addition(X1,multiplication(esk2_0,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_75]),c_0_26]),c_0_26]) ).
cnf(c_0_84,plain,
( complement(X1,X2)
| addition(X1,X2) != one
| multiplication(X1,X2) != zero
| multiplication(X2,X1) != zero ),
inference(spm,[status(thm)],[c_0_76,c_0_22]) ).
cnf(c_0_85,negated_conjecture,
addition(esk3_0,c(esk3_0)) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_54]),c_0_39])]) ).
cnf(c_0_86,negated_conjecture,
multiplication(esk3_0,c(esk3_0)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_39])]) ).
cnf(c_0_87,negated_conjecture,
addition(X1,multiplication(esk3_0,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_80]),c_0_26]),c_0_26]) ).
cnf(c_0_88,negated_conjecture,
addition(esk2_0,c(esk2_0)) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_54]),c_0_40])]) ).
cnf(c_0_89,negated_conjecture,
multiplication(esk2_0,c(esk2_0)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_82]),c_0_40])]) ).
cnf(c_0_90,negated_conjecture,
addition(multiplication(X1,X2),multiplication(X1,multiplication(esk2_0,X2))) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_51,c_0_83]) ).
cnf(c_0_91,negated_conjecture,
complement(esk3_0,c(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]),c_0_47])]) ).
cnf(c_0_92,negated_conjecture,
addition(multiplication(X1,X2),multiplication(X1,multiplication(esk3_0,X2))) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_51,c_0_87]) ).
cnf(c_0_93,negated_conjecture,
complement(esk2_0,c(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_88]),c_0_89]),c_0_50])]) ).
cnf(c_0_94,negated_conjecture,
addition(X1,multiplication(X1,esk3_0)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_80]),c_0_52]),c_0_52]) ).
cnf(c_0_95,negated_conjecture,
multiplication(c(esk3_0),multiplication(esk2_0,esk3_0)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_47]),c_0_48]) ).
cnf(c_0_96,negated_conjecture,
test(c(esk3_0)),
inference(spm,[status(thm)],[c_0_49,c_0_91]) ).
cnf(c_0_97,negated_conjecture,
addition(X1,multiplication(X1,esk2_0)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_75]),c_0_52]),c_0_52]) ).
cnf(c_0_98,negated_conjecture,
multiplication(c(esk2_0),multiplication(esk3_0,esk2_0)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_50]),c_0_48]) ).
cnf(c_0_99,negated_conjecture,
test(c(esk2_0)),
inference(spm,[status(thm)],[c_0_49,c_0_93]) ).
cnf(c_0_100,negated_conjecture,
addition(multiplication(X1,X2),multiplication(X1,multiplication(X2,esk3_0))) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_51,c_0_94]) ).
cnf(c_0_101,negated_conjecture,
multiplication(esk3_0,multiplication(esk2_0,esk3_0)) = multiplication(esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_95]),c_0_72]),c_0_48]),c_0_96])]) ).
cnf(c_0_102,plain,
( multiplication(esk1_1(X1),X1) = zero
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_63]) ).
cnf(c_0_103,negated_conjecture,
addition(multiplication(X1,X2),multiplication(X1,multiplication(X2,esk2_0))) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_51,c_0_97]) ).
cnf(c_0_104,negated_conjecture,
multiplication(esk2_0,multiplication(esk3_0,esk2_0)) = multiplication(esk3_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_32,c_0_98]),c_0_74]),c_0_48]),c_0_99])]) ).
cnf(c_0_105,negated_conjecture,
addition(multiplication(esk2_0,esk3_0),multiplication(esk3_0,esk2_0)) = multiplication(esk3_0,esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_22]) ).
cnf(c_0_106,plain,
( addition(multiplication(X1,X2),multiplication(esk1_1(X1),X2)) = X2
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_67]),c_0_26]) ).
cnf(c_0_107,plain,
( multiplication(esk1_1(X1),multiplication(X1,X2)) = zero
| ~ test(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_102]),c_0_37]) ).
cnf(c_0_108,negated_conjecture,
multiplication(esk3_0,esk2_0) = multiplication(esk2_0,esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).
cnf(c_0_109,negated_conjecture,
multiplication(esk1_1(esk3_0),c(esk3_0)) = c(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_86]),c_0_48]),c_0_39])]) ).
cnf(c_0_110,negated_conjecture,
multiplication(esk1_1(esk3_0),esk3_0) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_42]),c_0_39])]) ).
cnf(c_0_111,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_22]),c_0_61]) ).
fof(c_0_112,plain,
! [X24] : multiplication(X24,zero) = zero,
inference(variable_rename,[status(thm)],[right_annihilation]) ).
cnf(c_0_113,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_22,c_0_61]) ).
cnf(c_0_114,plain,
( addition(X1,addition(X2,esk1_1(addition(X1,X2)))) = one
| ~ test(addition(X1,X2)) ),
inference(spm,[status(thm)],[c_0_61,c_0_67]) ).
cnf(c_0_115,negated_conjecture,
addition(multiplication(esk2_0,esk3_0),multiplication(esk3_0,c(esk2_0))) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_108]),c_0_40])]) ).
cnf(c_0_116,negated_conjecture,
esk1_1(esk3_0) = c(esk3_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_58,c_0_109]),c_0_72]),c_0_110]),c_0_34]),c_0_96])]) ).
cnf(c_0_117,negated_conjecture,
addition(X1,addition(X2,multiplication(esk2_0,X1))) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_111,c_0_83]) ).
cnf(c_0_118,negated_conjecture,
addition(multiplication(X1,esk3_0),multiplication(X1,c(esk3_0))) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_72]),c_0_22]),c_0_96])]) ).
cnf(c_0_119,plain,
( addition(multiplication(X1,c(addition(X1,X2))),multiplication(X2,c(addition(X1,X2)))) = zero
| ~ test(addition(X1,X2)) ),
inference(spm,[status(thm)],[c_0_24,c_0_73]) ).
cnf(c_0_120,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_121,negated_conjecture,
multiplication(esk2_0,multiplication(esk3_0,c(esk2_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_89]),c_0_48]) ).
cnf(c_0_122,plain,
( complement(addition(X1,X2),X3)
| addition(multiplication(X1,X3),multiplication(X2,X3)) != zero
| addition(multiplication(X3,X1),multiplication(X3,X2)) != zero
| addition(X2,addition(X3,X1)) != one ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_113]),c_0_24]),c_0_51]) ).
cnf(c_0_123,negated_conjecture,
addition(multiplication(esk2_0,esk3_0),addition(multiplication(esk3_0,c(esk2_0)),c(esk3_0))) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]),c_0_39])]) ).
cnf(c_0_124,negated_conjecture,
addition(multiplication(esk2_0,esk3_0),c(esk3_0)) = addition(esk2_0,c(esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_22]) ).
cnf(c_0_125,negated_conjecture,
multiplication(c(esk3_0),multiplication(esk3_0,X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_47]),c_0_37]) ).
cnf(c_0_126,negated_conjecture,
multiplication(esk3_0,multiplication(esk3_0,X1)) = multiplication(esk3_0,X1),
inference(spm,[status(thm)],[c_0_36,c_0_42]) ).
cnf(c_0_127,negated_conjecture,
multiplication(esk3_0,multiplication(c(esk2_0),c(esk3_0))) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_115]),c_0_36]),c_0_86]),c_0_120]),c_0_36]),c_0_48]),c_0_39])]) ).
cnf(c_0_128,negated_conjecture,
multiplication(c(esk2_0),multiplication(esk2_0,X1)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_74]),c_0_99])]) ).
cnf(c_0_129,negated_conjecture,
addition(X1,addition(multiplication(esk3_0,X1),X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_61,c_0_87]) ).
cnf(c_0_130,negated_conjecture,
addition(multiplication(X1,esk2_0),multiplication(X1,c(esk2_0))) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_74]),c_0_22]),c_0_99])]) ).
cnf(c_0_131,negated_conjecture,
multiplication(c(esk2_0),multiplication(esk3_0,c(esk2_0))) = multiplication(esk3_0,c(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_121]),c_0_48]),c_0_40])]) ).
cnf(c_0_132,negated_conjecture,
complement(addition(esk2_0,c(esk3_0)),multiplication(esk3_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(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_122,c_0_123]),c_0_22]),c_0_124]),c_0_125]),c_0_36]),c_0_126]),c_0_121]),c_0_48]),c_0_36]),c_0_127]),c_0_36]),c_0_128]),c_0_120]),c_0_48])]) ).
cnf(c_0_133,plain,
( complement(X1,addition(X2,X3))
| addition(multiplication(X1,X2),multiplication(X1,X3)) != zero
| addition(multiplication(X2,X1),multiplication(X3,X1)) != zero
| addition(X2,addition(X3,X1)) != one ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_61]),c_0_51]),c_0_24]) ).
cnf(c_0_134,negated_conjecture,
addition(esk2_0,multiplication(esk3_0,c(esk2_0))) = addition(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_135,negated_conjecture,
( addition(multiplication(esk3_0,c(esk2_0)),multiplication(c(esk2_0),c(multiplication(esk3_0,c(esk2_0))))) = c(esk2_0)
| ~ test(multiplication(esk3_0,c(esk2_0))) ),
inference(spm,[status(thm)],[c_0_58,c_0_131]) ).
cnf(c_0_136,negated_conjecture,
test(multiplication(esk3_0,c(esk2_0))),
inference(spm,[status(thm)],[c_0_49,c_0_132]) ).
cnf(c_0_137,plain,
( complement(X1,addition(X2,X3))
| addition(multiplication(X1,X2),multiplication(X1,X3)) != zero
| addition(multiplication(X2,X1),multiplication(X3,X1)) != zero
| addition(X2,addition(X1,X3)) != one ),
inference(spm,[status(thm)],[c_0_133,c_0_22]) ).
cnf(c_0_138,negated_conjecture,
addition(esk2_0,addition(multiplication(esk3_0,c(esk2_0)),X1)) = addition(esk2_0,addition(esk3_0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_134]),c_0_61]) ).
cnf(c_0_139,negated_conjecture,
addition(multiplication(esk3_0,c(esk2_0)),multiplication(c(esk2_0),c(multiplication(esk3_0,c(esk2_0))))) = c(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_136])]) ).
cnf(c_0_140,plain,
( c(X1) = X2
| ~ complement(X1,X2)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_141,negated_conjecture,
complement(multiplication(esk3_0,c(esk2_0)),addition(esk2_0,c(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_137,c_0_123]),c_0_124]),c_0_36]),c_0_128]),c_0_120]),c_0_36]),c_0_127]),c_0_48]),c_0_36]),c_0_126]),c_0_121]),c_0_125]),c_0_48])]) ).
cnf(c_0_142,negated_conjecture,
addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(multiplication(esk3_0,c(esk2_0)))))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_88]) ).
cnf(c_0_143,negated_conjecture,
c(multiplication(esk3_0,c(esk2_0))) = addition(esk2_0,c(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_136])]) ).
cnf(c_0_144,plain,
( addition(multiplication(c(addition(X1,X2)),X1),multiplication(c(addition(X1,X2)),X2)) = zero
| ~ test(addition(X1,X2)) ),
inference(spm,[status(thm)],[c_0_51,c_0_33]) ).
cnf(c_0_145,negated_conjecture,
addition(multiplication(esk2_0,esk3_0),multiplication(c(esk3_0),esk2_0)) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_108]),c_0_39])]) ).
cnf(c_0_146,plain,
( complement(addition(X1,X2),X3)
| addition(multiplication(X1,X3),multiplication(X2,X3)) != zero
| addition(multiplication(X3,X1),multiplication(X3,X2)) != zero
| addition(X1,addition(X2,X3)) != one ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_113]),c_0_24]),c_0_51]) ).
cnf(c_0_147,negated_conjecture,
addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0)))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_143]),c_0_51]),c_0_50]),c_0_48]) ).
cnf(c_0_148,negated_conjecture,
multiplication(esk2_0,multiplication(c(esk2_0),X1)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_74]),c_0_99])]) ).
cnf(c_0_149,negated_conjecture,
multiplication(c(esk2_0),multiplication(c(esk3_0),esk2_0)) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_128]),c_0_48]),c_0_40])]) ).
cnf(c_0_150,negated_conjecture,
complement(addition(esk2_0,esk3_0),multiplication(c(esk2_0),c(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]),c_0_127]),c_0_48]),c_0_36]),c_0_149]),c_0_36]),c_0_47]),c_0_120]),c_0_48])]) ).
cnf(c_0_151,negated_conjecture,
c(addition(esk2_0,esk3_0)) != multiplication(c(esk2_0),c(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_152,negated_conjecture,
complement(multiplication(c(esk2_0),c(esk3_0)),addition(esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_147]),c_0_36]),c_0_149]),c_0_36]),c_0_47]),c_0_120]),c_0_48]),c_0_148]),c_0_127]),c_0_48])]) ).
cnf(c_0_153,negated_conjecture,
~ test(addition(esk2_0,esk3_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_150]),c_0_151]) ).
cnf(c_0_154,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_152]),c_0_153]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : KLE014+2 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Thu Jun 16 11:04:16 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.14/0.38 # ENIGMATIC: Selected SinE mode:
% 0.14/0.39 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.14/0.39 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.14/0.39 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.17/2.80 # ENIGMATIC: Solved by autoschedule:
% 11.17/2.80 # No SInE strategy applied
% 11.17/2.80 # Trying AutoSched0 for 150 seconds
% 11.17/2.80 # AutoSched0-Mode selected heuristic G_E___208_B00_00_F1_SE_CS_SP_PS_S083N
% 11.17/2.80 # and selection function SelectCQArNT.
% 11.17/2.80 #
% 11.17/2.80 # Preprocessing time : 0.019 s
% 11.17/2.80 # Presaturation interreduction done
% 11.17/2.80
% 11.17/2.80 # Proof found!
% 11.17/2.80 # SZS status Theorem
% 11.17/2.80 # SZS output start CNFRefutation
% See solution above
% 11.17/2.80 # Training examples: 0 positive, 0 negative
% 11.17/2.80
% 11.17/2.80 # -------------------------------------------------
% 11.17/2.80 # User time : 0.537 s
% 11.17/2.80 # System time : 0.023 s
% 11.17/2.80 # Total time : 0.561 s
% 11.17/2.80 # Maximum resident set size: 7120 pages
% 11.17/2.80
%------------------------------------------------------------------------------