TSTP Solution File: KLE160+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE160+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 01:50:40 EDT 2022
% Result : Theorem 19.27s 3.90s
% Output : CNFRefutation 19.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 17
% Syntax : Number of formulae : 114 ( 87 unt; 0 def)
% Number of atoms : 143 ( 75 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 25 ~; 22 |; 2 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 181 ( 11 sgn 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(star_induction2,axiom,
! [X1,X2,X3] :
( leq(addition(multiplication(X3,X1),X2),X3)
=> leq(multiplication(X2,star(X1)),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',star_induction2) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+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/sandbox2/benchmark/Axioms/KLE004+0.ax',additive_associativity) ).
fof(idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',idempotence) ).
fof(infty_unfold1,axiom,
! [X1] : strong_iteration(X1) = addition(multiplication(X1,strong_iteration(X1)),one),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',infty_unfold1) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',additive_commutativity) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',multiplicative_left_identity) ).
fof(order,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',order) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',left_annihilation) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',additive_identity) ).
fof(star_unfold2,axiom,
! [X1] : addition(one,multiplication(star(X1),X1)) = star(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',star_unfold2) ).
fof(star_induction1,axiom,
! [X1,X2,X3] :
( leq(addition(multiplication(X1,X3),X2),X3)
=> leq(multiplication(star(X1),X2),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',star_induction1) ).
fof(distributivity1,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',distributivity1) ).
fof(goals,conjecture,
! [X4,X5,X6] :
( leq(multiplication(X4,X5),multiplication(X5,X6))
=> leq(multiplication(star(X4),X5),multiplication(X5,star(X6))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(star_unfold1,axiom,
! [X1] : addition(one,multiplication(X1,star(X1))) = star(X1),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',star_unfold1) ).
fof(distributivity2,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',distributivity2) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',multiplicative_associativity) ).
fof(c_0_17,plain,
! [X31,X32,X33] :
( ~ leq(addition(multiplication(X33,X31),X32),X33)
| leq(multiplication(X32,star(X31)),X33) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction2])]) ).
fof(c_0_18,plain,
! [X17] : multiplication(X17,one) = X17,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_19,plain,
! [X9,X10,X11] : addition(X11,addition(X10,X9)) = addition(addition(X11,X10),X9),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_20,plain,
! [X13] : addition(X13,X13) = X13,
inference(variable_rename,[status(thm)],[idempotence]) ).
fof(c_0_21,plain,
! [X34] : strong_iteration(X34) = addition(multiplication(X34,strong_iteration(X34)),one),
inference(variable_rename,[status(thm)],[infty_unfold1]) ).
fof(c_0_22,plain,
! [X7,X8] : addition(X7,X8) = addition(X8,X7),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
cnf(c_0_23,plain,
( leq(multiplication(X3,star(X2)),X1)
| ~ leq(addition(multiplication(X1,X2),X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
strong_iteration(X1) = addition(multiplication(X1,strong_iteration(X1)),one),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
( leq(multiplication(X1,star(one)),X2)
| ~ leq(addition(X2,X1),X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
addition(one,multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_32,plain,
! [X18] : multiplication(one,X18) = X18,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_33,plain,
( leq(multiplication(X1,star(one)),X2)
| ~ leq(addition(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_34,plain,
addition(one,strong_iteration(X1)) = strong_iteration(X1),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_36,plain,
! [X39,X40] :
( ( ~ leq(X39,X40)
| addition(X39,X40) = X40 )
& ( addition(X39,X40) != X40
| leq(X39,X40) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])]) ).
fof(c_0_37,plain,
! [X25] : multiplication(zero,X25) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
fof(c_0_38,plain,
! [X12] : addition(X12,zero) = X12,
inference(variable_rename,[status(thm)],[additive_identity]) ).
cnf(c_0_39,plain,
( leq(star(one),strong_iteration(X1))
| ~ leq(strong_iteration(X1),strong_iteration(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_40,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_43,plain,
! [X27] : addition(one,multiplication(star(X27),X27)) = star(X27),
inference(variable_rename,[status(thm)],[star_unfold2]) ).
fof(c_0_44,plain,
! [X28,X29,X30] :
( ~ leq(addition(multiplication(X28,X30),X29),X30)
| leq(multiplication(star(X28),X29),X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction1])]) ).
cnf(c_0_45,plain,
leq(star(one),strong_iteration(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_26])]) ).
cnf(c_0_46,plain,
strong_iteration(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_41]),c_0_42]) ).
cnf(c_0_47,plain,
addition(one,multiplication(star(X1),X1)) = star(X1),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_48,plain,
( leq(multiplication(star(X1),X3),X2)
| ~ leq(addition(multiplication(X1,X2),X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_50,plain,
leq(star(one),one),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,plain,
addition(one,star(X1)) = star(X1),
inference(spm,[status(thm)],[c_0_30,c_0_47]) ).
fof(c_0_52,plain,
! [X19,X20,X21] : multiplication(X19,addition(X20,X21)) = addition(multiplication(X19,X20),multiplication(X19,X21)),
inference(variable_rename,[status(thm)],[distributivity1]) ).
cnf(c_0_53,plain,
( leq(multiplication(star(one),X1),X2)
| ~ leq(addition(X2,X1),X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_35]) ).
cnf(c_0_54,plain,
star(one) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_28]),c_0_51]) ).
cnf(c_0_55,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_56,plain,
( leq(X1,X2)
| ~ leq(addition(X2,X1),X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54]),c_0_35]) ).
cnf(c_0_57,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_24]),c_0_28]) ).
cnf(c_0_58,plain,
( leq(multiplication(X1,X2),X1)
| ~ leq(multiplication(X1,addition(X2,one)),X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_59,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_30,c_0_28]) ).
cnf(c_0_60,plain,
( leq(multiplication(X1,X2),X1)
| multiplication(X1,addition(X2,one)) != X1 ),
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_40]),c_0_28]),c_0_57]),c_0_25]),c_0_26]) ).
cnf(c_0_61,plain,
( leq(X1,X2)
| ~ leq(addition(X1,X2),X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_54]),c_0_24]) ).
cnf(c_0_62,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_25,c_0_59]),c_0_25]),c_0_25]) ).
cnf(c_0_63,plain,
leq(X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_24]),c_0_26]),c_0_24])]) ).
fof(c_0_64,negated_conjecture,
~ ! [X4,X5,X6] :
( leq(multiplication(X4,X5),multiplication(X5,X6))
=> leq(multiplication(star(X4),X5),multiplication(X5,star(X6))) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_65,plain,
leq(X1,addition(X2,addition(X1,X3))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]) ).
cnf(c_0_66,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_42,c_0_28]) ).
fof(c_0_67,negated_conjecture,
( leq(multiplication(esk1_0,esk2_0),multiplication(esk2_0,esk3_0))
& ~ leq(multiplication(star(esk1_0),esk2_0),multiplication(esk2_0,star(esk3_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).
cnf(c_0_68,plain,
leq(X1,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
fof(c_0_69,plain,
! [X26] : addition(one,multiplication(X26,star(X26))) = star(X26),
inference(variable_rename,[status(thm)],[star_unfold1]) ).
fof(c_0_70,plain,
! [X22,X23,X24] : multiplication(addition(X22,X23),X24) = addition(multiplication(X22,X24),multiplication(X23,X24)),
inference(variable_rename,[status(thm)],[distributivity2]) ).
cnf(c_0_71,plain,
addition(star(X1),multiplication(star(X1),X1)) = star(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_47]),c_0_28]) ).
cnf(c_0_72,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),multiplication(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_73,plain,
leq(X1,multiplication(X1,addition(X2,one))),
inference(spm,[status(thm)],[c_0_68,c_0_57]) ).
cnf(c_0_74,plain,
addition(one,multiplication(X1,star(X1))) = star(X1),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_75,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_76,plain,
multiplication(star(X1),addition(X1,one)) = star(X1),
inference(rw,[status(thm)],[c_0_71,c_0_57]) ).
cnf(c_0_77,negated_conjecture,
addition(multiplication(esk2_0,esk3_0),multiplication(esk1_0,esk2_0)) = multiplication(esk2_0,esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_72]),c_0_28]) ).
cnf(c_0_78,plain,
leq(X1,multiplication(X1,addition(one,X2))),
inference(spm,[status(thm)],[c_0_73,c_0_28]) ).
cnf(c_0_79,plain,
addition(star(X1),multiplication(X1,star(X1))) = star(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_74]),c_0_28]) ).
cnf(c_0_80,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_35]),c_0_28]) ).
fof(c_0_81,plain,
! [X14,X15,X16] : multiplication(X14,multiplication(X15,X16)) = multiplication(multiplication(X14,X15),X16),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_82,plain,
multiplication(star(X1),addition(one,X1)) = star(X1),
inference(spm,[status(thm)],[c_0_76,c_0_28]) ).
cnf(c_0_83,negated_conjecture,
addition(multiplication(esk2_0,esk3_0),addition(multiplication(esk1_0,esk2_0),X1)) = addition(multiplication(esk2_0,esk3_0),X1),
inference(spm,[status(thm)],[c_0_25,c_0_77]) ).
cnf(c_0_84,plain,
leq(X1,multiplication(X1,star(X2))),
inference(spm,[status(thm)],[c_0_78,c_0_51]) ).
cnf(c_0_85,plain,
multiplication(addition(X1,one),star(X1)) = star(X1),
inference(rw,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_86,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_87,plain,
multiplication(star(star(X1)),star(X1)) = star(star(X1)),
inference(spm,[status(thm)],[c_0_82,c_0_51]) ).
cnf(c_0_88,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),addition(multiplication(esk2_0,esk3_0),X1)),
inference(spm,[status(thm)],[c_0_65,c_0_83]) ).
cnf(c_0_89,plain,
leq(addition(X1,one),star(X1)),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_90,plain,
( leq(multiplication(star(X1),multiplication(X1,X2)),X2)
| ~ leq(multiplication(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_26]) ).
cnf(c_0_91,plain,
multiplication(star(star(X1)),multiplication(star(X1),X2)) = multiplication(star(star(X1)),X2),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,plain,
( leq(multiplication(addition(X1,multiplication(X2,X3)),star(X3)),X2)
| ~ leq(addition(X1,multiplication(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_59]) ).
cnf(c_0_93,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),multiplication(esk2_0,addition(esk3_0,X1))),
inference(spm,[status(thm)],[c_0_88,c_0_55]) ).
cnf(c_0_94,plain,
addition(X1,star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_89]),c_0_25]),c_0_51]) ).
cnf(c_0_95,plain,
( leq(multiplication(star(star(X1)),X2),X2)
| ~ leq(multiplication(star(X1),X2),X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_96,plain,
leq(multiplication(star(X1),star(X1)),star(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_47]),c_0_63])]) ).
cnf(c_0_97,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),multiplication(esk2_0,star(esk3_0))),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_98,plain,
multiplication(addition(one,X1),star(X1)) = star(X1),
inference(spm,[status(thm)],[c_0_85,c_0_28]) ).
cnf(c_0_99,plain,
leq(star(star(X1)),star(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_87]),c_0_96])]) ).
cnf(c_0_100,plain,
( leq(multiplication(X1,X2),multiplication(X3,X2))
| ~ leq(multiplication(addition(X1,X3),X2),multiplication(X3,X2)) ),
inference(spm,[status(thm)],[c_0_61,c_0_75]) ).
cnf(c_0_101,negated_conjecture,
addition(multiplication(esk1_0,esk2_0),multiplication(esk2_0,star(esk3_0))) = multiplication(esk2_0,star(esk3_0)),
inference(spm,[status(thm)],[c_0_49,c_0_97]) ).
cnf(c_0_102,plain,
multiplication(star(X1),star(star(X1))) = star(star(X1)),
inference(spm,[status(thm)],[c_0_98,c_0_51]) ).
cnf(c_0_103,plain,
star(star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_99]),c_0_28]),c_0_94]) ).
cnf(c_0_104,plain,
( addition(X1,multiplication(star(X2),multiplication(X2,X1))) = X1
| ~ leq(multiplication(X2,X1),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_90]),c_0_28]) ).
cnf(c_0_105,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_80,c_0_86]),c_0_28]) ).
cnf(c_0_106,negated_conjecture,
leq(multiplication(esk1_0,multiplication(esk2_0,X1)),multiplication(esk2_0,multiplication(star(esk3_0),X1))),
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_100,c_0_101]),c_0_86]),c_0_86]),c_0_86]),c_0_86]),c_0_63])]) ).
cnf(c_0_107,plain,
multiplication(star(X1),star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103]),c_0_103]) ).
cnf(c_0_108,plain,
( multiplication(star(X1),X2) = X2
| ~ leq(multiplication(X1,X2),X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105]),c_0_47]) ).
cnf(c_0_109,negated_conjecture,
leq(multiplication(esk1_0,multiplication(esk2_0,star(esk3_0))),multiplication(esk2_0,star(esk3_0))),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_110,plain,
leq(multiplication(X1,X2),multiplication(X1,multiplication(X2,star(X3)))),
inference(spm,[status(thm)],[c_0_84,c_0_86]) ).
cnf(c_0_111,negated_conjecture,
multiplication(star(esk1_0),multiplication(esk2_0,star(esk3_0))) = multiplication(esk2_0,star(esk3_0)),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
~ leq(multiplication(star(esk1_0),esk2_0),multiplication(esk2_0,star(esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_113,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KLE160+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 07:21:16 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.47 # ENIGMATIC: Selected SinE mode:
% 0.22/0.48 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.22/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.22/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 19.27/3.90 # ENIGMATIC: Solved by autoschedule:
% 19.27/3.90 # No SInE strategy applied
% 19.27/3.90 # Trying AutoSched0 for 150 seconds
% 19.27/3.90 # AutoSched0-Mode selected heuristic G_____0010_evo
% 19.27/3.90 # and selection function SelectMaxLComplexAvoidPosPred.
% 19.27/3.90 #
% 19.27/3.90 # Preprocessing time : 0.024 s
% 19.27/3.90
% 19.27/3.90 # Proof found!
% 19.27/3.90 # SZS status Theorem
% 19.27/3.90 # SZS output start CNFRefutation
% See solution above
% 19.27/3.90 # Training examples: 0 positive, 0 negative
% 19.27/3.90
% 19.27/3.90 # -------------------------------------------------
% 19.27/3.90 # User time : 1.324 s
% 19.27/3.90 # System time : 0.051 s
% 19.27/3.90 # Total time : 1.375 s
% 19.27/3.90 # Maximum resident set size: 7120 pages
% 19.27/3.90
%------------------------------------------------------------------------------