%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE028+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 01:49:43 EDT 2022
% Result : Theorem 10.20s 2.71s
% Output : CNFRefutation 10.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 107 ( 92 unt; 0 def)
% Number of atoms : 143 ( 104 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 62 ( 26 ~; 19 |; 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 : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 129 ( 2 sgn 62 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X4,X5,X6,X7,X8,X9] :
( ( test(X8)
& test(X9) )
=> addition(multiplication(X8,addition(multiplication(X9,X4),multiplication(c(X9),X5))),multiplication(c(X8),addition(multiplication(X9,X6),multiplication(c(X9),X7)))) = addition(multiplication(X9,addition(multiplication(X8,X4),multiplication(c(X8),X6))),multiplication(c(X9),addition(multiplication(X8,X5),multiplication(c(X8),X7)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(test_1,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_1) ).
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(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(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(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(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox/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/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(c_0_14,negated_conjecture,
~ ! [X4,X5,X6,X7,X8,X9] :
( ( test(X8)
& test(X9) )
=> addition(multiplication(X8,addition(multiplication(X9,X4),multiplication(c(X9),X5))),multiplication(c(X8),addition(multiplication(X9,X6),multiplication(c(X9),X7)))) = addition(multiplication(X9,addition(multiplication(X8,X4),multiplication(c(X8),X6))),multiplication(c(X9),addition(multiplication(X8,X5),multiplication(c(X8),X7)))) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_15,plain,
! [X32,X34,X35] :
( ( ~ test(X32)
| complement(esk1_1(X32),X32) )
& ( ~ complement(X35,X34)
| test(X34) ) ),
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])])])])]) ).
fof(c_0_16,negated_conjecture,
( test(esk6_0)
& test(esk7_0)
& addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))) != addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_17,plain,
! [X38,X39] :
( ( c(X38) != X39
| complement(X38,X39)
| ~ test(X38) )
& ( ~ complement(X38,X39)
| c(X38) = X39
| ~ test(X38) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_3])])]) ).
fof(c_0_18,plain,
! [X12,X13,X14] : addition(X14,addition(X13,X12)) = addition(addition(X14,X13),X12),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_19,plain,
! [X16] : addition(X16,X16) = X16,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
fof(c_0_20,plain,
! [X36,X37] :
( ( multiplication(X36,X37) = zero
| ~ complement(X37,X36) )
& ( multiplication(X37,X36) = zero
| ~ complement(X37,X36) )
& ( addition(X36,X37) = one
| ~ complement(X37,X36) )
& ( multiplication(X36,X37) != zero
| multiplication(X37,X36) != zero
| addition(X36,X37) != one
| complement(X37,X36) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_2])])]) ).
cnf(c_0_21,plain,
( complement(esk1_1(X1),X1)
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
test(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
test(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( complement(X1,X2)
| c(X1) != X2
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
( addition(X1,X2) = one
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,negated_conjecture,
complement(esk1_1(esk6_0),esk6_0),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_29,plain,
! [X10,X11] : addition(X10,X11) = addition(X11,X10),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
cnf(c_0_30,negated_conjecture,
complement(esk1_1(esk7_0),esk7_0),
inference(spm,[status(thm)],[c_0_21,c_0_23]) ).
cnf(c_0_31,plain,
( complement(X1,c(X1))
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_24]) ).
fof(c_0_32,plain,
! [X25,X26,X27] : multiplication(addition(X25,X26),X27) = addition(multiplication(X25,X27),multiplication(X26,X27)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
cnf(c_0_33,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,negated_conjecture,
addition(esk6_0,esk1_1(esk6_0)) = one,
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_36,plain,
! [X21] : multiplication(one,X21) = X21,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_37,negated_conjecture,
addition(esk7_0,esk1_1(esk7_0)) = one,
inference(spm,[status(thm)],[c_0_27,c_0_30]) ).
cnf(c_0_38,negated_conjecture,
complement(esk7_0,c(esk7_0)),
inference(spm,[status(thm)],[c_0_31,c_0_23]) ).
fof(c_0_39,plain,
! [X22,X23,X24] : multiplication(X22,addition(X23,X24)) = addition(multiplication(X22,X23),multiplication(X22,X24)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
cnf(c_0_40,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,negated_conjecture,
addition(one,esk6_0) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_42,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_43,plain,
! [X15] : addition(X15,zero) = X15,
inference(variable_rename,[status(thm)],[additive_identity]) ).
cnf(c_0_44,negated_conjecture,
complement(esk6_0,c(esk6_0)),
inference(spm,[status(thm)],[c_0_31,c_0_22]) ).
cnf(c_0_45,negated_conjecture,
addition(one,esk7_0) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_37]),c_0_35]) ).
fof(c_0_46,plain,
! [X20] : multiplication(X20,one) = X20,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
cnf(c_0_47,negated_conjecture,
addition(esk7_0,c(esk7_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_38]),c_0_35]) ).
cnf(c_0_48,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_49,negated_conjecture,
addition(X1,multiplication(esk6_0,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_42]) ).
cnf(c_0_50,plain,
( multiplication(X1,X2) = zero
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_51,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,negated_conjecture,
addition(esk6_0,c(esk6_0)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_44]),c_0_35]) ).
cnf(c_0_53,negated_conjecture,
addition(X1,multiplication(esk7_0,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_45]),c_0_42]),c_0_42]) ).
cnf(c_0_54,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_55,negated_conjecture,
addition(esk7_0,addition(c(esk7_0),X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_25,c_0_47]) ).
cnf(c_0_56,negated_conjecture,
addition(multiplication(X1,X2),multiplication(X1,multiplication(esk6_0,X2))) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,negated_conjecture,
multiplication(c(esk7_0),esk7_0) = zero,
inference(spm,[status(thm)],[c_0_50,c_0_38]) ).
cnf(c_0_58,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_51,c_0_35]) ).
cnf(c_0_59,negated_conjecture,
addition(esk6_0,addition(c(esk6_0),X1)) = addition(one,X1),
inference(spm,[status(thm)],[c_0_25,c_0_52]) ).
cnf(c_0_60,negated_conjecture,
addition(multiplication(X1,X2),multiplication(X1,multiplication(esk7_0,X2))) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_53]) ).
cnf(c_0_61,negated_conjecture,
multiplication(c(esk6_0),esk6_0) = zero,
inference(spm,[status(thm)],[c_0_50,c_0_44]) ).
cnf(c_0_62,negated_conjecture,
addition(X1,multiplication(X1,esk7_0)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_45]),c_0_54]),c_0_54]) ).
cnf(c_0_63,negated_conjecture,
addition(multiplication(esk7_0,X1),addition(multiplication(c(esk7_0),X1),multiplication(X2,X1))) = addition(X1,multiplication(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_55]),c_0_40]),c_0_42]),c_0_40]) ).
cnf(c_0_64,negated_conjecture,
multiplication(c(esk7_0),multiplication(esk6_0,esk7_0)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_65,plain,
( multiplication(X1,X2) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_66,plain,
! [X17,X18,X19] : multiplication(X17,multiplication(X18,X19)) = multiplication(multiplication(X17,X18),X19),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_67,negated_conjecture,
addition(X1,multiplication(X1,esk6_0)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_41]),c_0_54]),c_0_54]) ).
cnf(c_0_68,negated_conjecture,
addition(multiplication(esk6_0,X1),addition(multiplication(c(esk6_0),X1),multiplication(X2,X1))) = addition(X1,multiplication(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_59]),c_0_40]),c_0_42]),c_0_40]) ).
cnf(c_0_69,negated_conjecture,
multiplication(c(esk6_0),multiplication(esk7_0,esk6_0)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_58]) ).
cnf(c_0_70,negated_conjecture,
addition(multiplication(X1,X2),multiplication(X1,multiplication(X2,esk7_0))) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_62]) ).
cnf(c_0_71,negated_conjecture,
multiplication(esk7_0,multiplication(esk6_0,esk7_0)) = multiplication(esk6_0,esk7_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_51]),c_0_64]),c_0_51]),c_0_51]) ).
cnf(c_0_72,negated_conjecture,
multiplication(esk7_0,c(esk7_0)) = zero,
inference(spm,[status(thm)],[c_0_65,c_0_38]) ).
cnf(c_0_73,negated_conjecture,
multiplication(esk6_0,c(esk6_0)) = zero,
inference(spm,[status(thm)],[c_0_65,c_0_44]) ).
fof(c_0_74,plain,
! [X29] : multiplication(zero,X29) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
cnf(c_0_75,negated_conjecture,
addition(multiplication(X1,esk7_0),multiplication(X1,c(esk7_0))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_47]),c_0_54]) ).
cnf(c_0_76,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_77,negated_conjecture,
addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))) != addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_78,negated_conjecture,
addition(multiplication(X1,X2),multiplication(X1,multiplication(X2,esk6_0))) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_67]) ).
cnf(c_0_79,negated_conjecture,
multiplication(esk6_0,multiplication(esk7_0,esk6_0)) = multiplication(esk7_0,esk6_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_69]),c_0_58]),c_0_51]),c_0_51]) ).
cnf(c_0_80,negated_conjecture,
addition(multiplication(esk6_0,esk7_0),multiplication(esk7_0,esk6_0)) = multiplication(esk7_0,esk6_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_35]) ).
cnf(c_0_81,negated_conjecture,
multiplication(esk7_0,multiplication(esk6_0,c(esk7_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_72]),c_0_58]) ).
cnf(c_0_82,negated_conjecture,
addition(multiplication(X1,esk6_0),multiplication(X1,c(esk6_0))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_52]),c_0_54]) ).
cnf(c_0_83,negated_conjecture,
multiplication(esk6_0,multiplication(esk7_0,c(esk6_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_73]),c_0_58]) ).
cnf(c_0_84,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_85,negated_conjecture,
addition(multiplication(X1,multiplication(esk7_0,X2)),multiplication(X1,multiplication(c(esk7_0),X2))) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_75]),c_0_76]),c_0_76]) ).
cnf(c_0_86,negated_conjecture,
addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_48]),c_0_48]),c_0_25]),c_0_48]),c_0_48]),c_0_25]) ).
cnf(c_0_87,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_35]),c_0_25]) ).
cnf(c_0_88,negated_conjecture,
multiplication(esk7_0,esk6_0) = multiplication(esk6_0,esk7_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).
cnf(c_0_89,negated_conjecture,
addition(multiplication(X1,multiplication(X2,esk7_0)),multiplication(X1,multiplication(X2,c(esk7_0)))) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_75]) ).
cnf(c_0_90,negated_conjecture,
multiplication(c(esk7_0),multiplication(esk6_0,c(esk7_0))) = multiplication(esk6_0,c(esk7_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_81]),c_0_81]),c_0_51]),c_0_58]),c_0_51]) ).
cnf(c_0_91,negated_conjecture,
addition(multiplication(X1,multiplication(X2,esk6_0)),multiplication(X1,multiplication(X2,c(esk6_0)))) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_82]) ).
cnf(c_0_92,negated_conjecture,
multiplication(c(esk6_0),multiplication(esk7_0,c(esk6_0))) = multiplication(esk7_0,c(esk6_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_83]),c_0_83]),c_0_51]),c_0_58]),c_0_51]) ).
cnf(c_0_93,negated_conjecture,
multiplication(c(esk6_0),multiplication(esk6_0,X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_61]),c_0_84]) ).
cnf(c_0_94,negated_conjecture,
multiplication(esk6_0,multiplication(c(esk7_0),c(esk6_0))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_83]),c_0_58]),c_0_73]) ).
cnf(c_0_95,negated_conjecture,
addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),
inference(rw,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_96,negated_conjecture,
multiplication(esk7_0,multiplication(esk6_0,X1)) = multiplication(esk6_0,multiplication(esk7_0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_88]),c_0_76]) ).
cnf(c_0_97,negated_conjecture,
multiplication(c(esk7_0),esk6_0) = multiplication(esk6_0,c(esk7_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_64]),c_0_58]) ).
cnf(c_0_98,negated_conjecture,
multiplication(esk7_0,c(esk6_0)) = multiplication(c(esk6_0),esk7_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_88]),c_0_93]),c_0_58]) ).
cnf(c_0_99,negated_conjecture,
multiplication(c(esk6_0),multiplication(c(esk7_0),c(esk6_0))) = multiplication(c(esk7_0),c(esk6_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_94]),c_0_94]),c_0_51]),c_0_58]),c_0_51]) ).
cnf(c_0_100,negated_conjecture,
addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),
inference(rw,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,negated_conjecture,
multiplication(c(esk7_0),multiplication(esk6_0,X1)) = multiplication(esk6_0,multiplication(c(esk7_0),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_97]),c_0_76]) ).
cnf(c_0_102,negated_conjecture,
multiplication(esk7_0,multiplication(c(esk6_0),X1)) = multiplication(c(esk6_0),multiplication(esk7_0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_98]),c_0_76]) ).
cnf(c_0_103,negated_conjecture,
multiplication(c(esk7_0),c(esk6_0)) = multiplication(c(esk6_0),c(esk7_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_99]),c_0_97]),c_0_93]),c_0_58]) ).
cnf(c_0_104,negated_conjecture,
addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).
cnf(c_0_105,negated_conjecture,
multiplication(c(esk7_0),multiplication(c(esk6_0),X1)) = multiplication(c(esk6_0),multiplication(c(esk7_0),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_103]),c_0_76]) ).
cnf(c_0_106,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE028+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 16 12:20:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.20/2.71 # ENIGMATIC: Solved by autoschedule:
% 10.20/2.71 # No SInE strategy applied
% 10.20/2.71 # Trying AutoSched0 for 150 seconds
% 10.20/2.71 # AutoSched0-Mode selected heuristic G_E___208_B00_00_F1_SE_CS_SP_PS_S064A
% 10.20/2.71 # and selection function SelectComplexG.
% 10.20/2.71 #
% 10.20/2.71 # Preprocessing time : 0.023 s
% 10.20/2.71 # Presaturation interreduction done
% 10.20/2.71
% 10.20/2.71 # Proof found!
% 10.20/2.71 # SZS status Theorem
% 10.20/2.71 # SZS output start CNFRefutation
% See solution above
% 10.20/2.71 # Training examples: 0 positive, 1 negative
% 10.20/2.71
% 10.20/2.71 # -------------------------------------------------
% 10.20/2.71 # User time : 0.409 s
% 10.20/2.71 # System time : 0.008 s
% 10.20/2.71 # Total time : 0.417 s
% 10.20/2.71 # Maximum resident set size: 7120 pages
% 10.20/2.71
%------------------------------------------------------------------------------