TSTP Solution File: KLE042+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE042+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 01:49:49 EDT 2022
% Result : Theorem 74.52s 10.83s
% Output : CNFRefutation 74.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 101 ( 64 unt; 0 def)
% Number of atoms : 142 ( 83 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 81 ( 40 ~; 35 |; 3 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 174 ( 2 sgn 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(star_induction_right,axiom,
! [X1,X2,X3] :
( leq(addition(multiplication(X1,X2),X3),X1)
=> leq(multiplication(X3,star(X2)),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_induction_right) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_right_identity) ).
fof(star_unfold_right,axiom,
! [X1] : leq(addition(one,multiplication(X1,star(X1))),star(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',left_annihilation) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_identity) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_left_identity) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_commutativity) ).
fof(order,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',order) ).
fof(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_idempotence) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_associativity) ).
fof(star_induction_left,axiom,
! [X1,X2,X3] :
( leq(addition(multiplication(X1,X2),X3),X2)
=> leq(multiplication(star(X1),X3),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_induction_left) ).
fof(right_annihilation,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',right_annihilation) ).
fof(star_unfold_left,axiom,
! [X1] : leq(addition(one,multiplication(star(X1),X1)),star(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_unfold_left) ).
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/KLE002+0.ax',right_distributivity) ).
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/KLE002+0.ax',left_distributivity) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_associativity) ).
fof(goals,conjecture,
! [X4,X5] :
( leq(multiplication(star(multiplication(X4,X5)),X4),multiplication(X4,star(multiplication(X5,X4))))
& leq(multiplication(X4,star(multiplication(X5,X4))),multiplication(star(multiplication(X4,X5)),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(c_0_17,plain,
! [X33,X34,X35] :
( ~ leq(addition(multiplication(X33,X34),X35),X33)
| leq(multiplication(X35,star(X34)),X33) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction_right])]) ).
fof(c_0_18,plain,
! [X16] : multiplication(X16,one) = X16,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_19,plain,
! [X28] : leq(addition(one,multiplication(X28,star(X28))),star(X28)),
inference(variable_rename,[status(thm)],[star_unfold_right]) ).
fof(c_0_20,plain,
! [X25] : multiplication(zero,X25) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
fof(c_0_21,plain,
! [X11] : addition(X11,zero) = X11,
inference(variable_rename,[status(thm)],[additive_identity]) ).
fof(c_0_22,plain,
! [X17] : multiplication(one,X17) = X17,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
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]) ).
fof(c_0_25,plain,
! [X6,X7] : addition(X6,X7) = addition(X7,X6),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_26,plain,
! [X26,X27] :
( ( ~ leq(X26,X27)
| addition(X26,X27) = X27 )
& ( addition(X26,X27) != X27
| leq(X26,X27) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])]) ).
cnf(c_0_27,plain,
leq(addition(one,multiplication(X1,star(X1))),star(X1)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,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_32,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
leq(one,star(zero)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_35,plain,
( leq(multiplication(X1,star(X2)),one)
| ~ leq(addition(X2,X1),one) ),
inference(spm,[status(thm)],[c_0_23,c_0_30]) ).
cnf(c_0_36,plain,
( leq(multiplication(X1,star(one)),X2)
| ~ leq(addition(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,plain,
addition(one,star(zero)) = star(zero),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
( leq(star(X1),one)
| ~ leq(addition(X1,one),one) ),
inference(spm,[status(thm)],[c_0_35,c_0_30]) ).
cnf(c_0_39,plain,
( leq(star(one),star(zero))
| ~ leq(star(zero),star(zero)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_30]) ).
fof(c_0_40,plain,
! [X12] : addition(X12,X12) = X12,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
cnf(c_0_41,plain,
( addition(one,star(X1)) = one
| ~ leq(addition(X1,one),one) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_38]),c_0_32]) ).
cnf(c_0_42,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_29,c_0_32]) ).
fof(c_0_43,plain,
! [X8,X9,X10] : addition(X10,addition(X9,X8)) = addition(addition(X10,X9),X8),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_44,plain,
! [X30,X31,X32] :
( ~ leq(addition(multiplication(X30,X31),X32),X31)
| leq(multiplication(star(X30),X32),X31) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction_left])]) ).
cnf(c_0_45,plain,
( addition(star(zero),star(one)) = star(zero)
| ~ leq(star(zero),star(zero)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_39]),c_0_32]) ).
cnf(c_0_46,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_47,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_48,plain,
( star(zero) = one
| ~ leq(one,one) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_37]) ).
cnf(c_0_49,plain,
leq(addition(one,star(one)),star(one)),
inference(spm,[status(thm)],[c_0_27,c_0_30]) ).
cnf(c_0_50,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_51,plain,
! [X24] : multiplication(X24,zero) = zero,
inference(variable_rename,[status(thm)],[right_annihilation]) ).
cnf(c_0_52,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_53,plain,
addition(star(zero),star(one)) = star(zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).
cnf(c_0_54,plain,
star(zero) = one,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_46]),c_0_47])]) ).
cnf(c_0_55,plain,
addition(one,star(one)) = star(one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_49]),c_0_50]),c_0_47]) ).
cnf(c_0_56,plain,
( leq(multiplication(X1,star(X2)),X3)
| addition(X3,addition(multiplication(X3,X2),X1)) != X3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_46]),c_0_32]) ).
cnf(c_0_57,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_58,plain,
( leq(multiplication(star(one),X1),X2)
| ~ leq(addition(X2,X1),X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_30]) ).
cnf(c_0_59,plain,
star(one) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_54]) ).
fof(c_0_60,plain,
! [X29] : leq(addition(one,multiplication(star(X29),X29)),star(X29)),
inference(variable_rename,[status(thm)],[star_unfold_left]) ).
fof(c_0_61,plain,
! [X18,X19,X20] : multiplication(X18,addition(X19,X20)) = addition(multiplication(X18,X19),multiplication(X18,X20)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
cnf(c_0_62,plain,
( leq(X1,X2)
| addition(X2,X1) != X2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_54]),c_0_24]),c_0_57]),c_0_42]) ).
fof(c_0_63,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_64,plain,
( leq(X1,X2)
| ~ leq(addition(X2,X1),X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59]),c_0_30]) ).
cnf(c_0_65,plain,
leq(addition(one,multiplication(star(X1),X1)),star(X1)),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_66,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_67,plain,
! [X13,X14,X15] : multiplication(X13,multiplication(X14,X15)) = multiplication(multiplication(X13,X14),X15),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_68,plain,
( addition(X1,X2) = X2
| addition(X2,X1) != X2 ),
inference(spm,[status(thm)],[c_0_33,c_0_62]) ).
cnf(c_0_69,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_70,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_50,c_0_47]) ).
cnf(c_0_71,plain,
addition(one,addition(star(X1),multiplication(X1,star(X1)))) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_27]),c_0_50]),c_0_32]) ).
cnf(c_0_72,plain,
( leq(X1,X2)
| addition(X2,addition(X1,X2)) != X2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_46]),c_0_50]) ).
cnf(c_0_73,plain,
addition(one,addition(star(X1),multiplication(star(X1),X1))) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_65]),c_0_50]),c_0_32]) ).
cnf(c_0_74,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_24]),c_0_32]) ).
fof(c_0_75,negated_conjecture,
~ ! [X4,X5] :
( leq(multiplication(star(multiplication(X4,X5)),X4),multiplication(X4,star(multiplication(X5,X4))))
& leq(multiplication(X4,star(multiplication(X5,X4))),multiplication(star(multiplication(X4,X5)),X4)) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_76,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_77,plain,
( multiplication(addition(X1,X2),X3) = multiplication(X2,X3)
| multiplication(addition(X2,X1),X3) != multiplication(X2,X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_69]) ).
cnf(c_0_78,plain,
( addition(one,star(X1)) = one
| addition(X1,one) != one ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_46]),c_0_50]),c_0_47]) ).
cnf(c_0_79,plain,
addition(one,star(X1)) = star(X1),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_80,plain,
( addition(X1,X2) = X2
| addition(X2,addition(X1,X2)) != X2 ),
inference(spm,[status(thm)],[c_0_33,c_0_72]) ).
cnf(c_0_81,plain,
addition(one,multiplication(star(X1),addition(X1,one))) = star(X1),
inference(rw,[status(thm)],[c_0_73,c_0_74]) ).
fof(c_0_82,negated_conjecture,
( ~ leq(multiplication(star(multiplication(esk1_0,esk2_0)),esk1_0),multiplication(esk1_0,star(multiplication(esk2_0,esk1_0))))
| ~ leq(multiplication(esk1_0,star(multiplication(esk2_0,esk1_0))),multiplication(star(multiplication(esk1_0,esk2_0)),esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])]) ).
cnf(c_0_83,plain,
( leq(multiplication(X1,multiplication(X2,star(X3))),X4)
| addition(X4,addition(multiplication(X4,X3),multiplication(X1,X2))) != X4 ),
inference(spm,[status(thm)],[c_0_56,c_0_76]) ).
cnf(c_0_84,plain,
( multiplication(star(X1),X2) = X2
| addition(X1,one) != one ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_32]),c_0_79]),c_0_30]) ).
cnf(c_0_85,plain,
addition(multiplication(X1,multiplication(X2,X3)),multiplication(X4,X3)) = multiplication(addition(multiplication(X1,X2),X4),X3),
inference(spm,[status(thm)],[c_0_69,c_0_76]) ).
cnf(c_0_86,plain,
addition(multiplication(X1,X2),addition(multiplication(X1,X3),X4)) = addition(multiplication(X1,addition(X2,X3)),X4),
inference(spm,[status(thm)],[c_0_50,c_0_66]) ).
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_50,c_0_32]),c_0_50]) ).
cnf(c_0_88,plain,
multiplication(star(X1),addition(X1,one)) = star(X1),
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_80,c_0_81]),c_0_32]),c_0_74]),c_0_50]),c_0_47])]) ).
cnf(c_0_89,negated_conjecture,
( ~ leq(multiplication(star(multiplication(esk1_0,esk2_0)),esk1_0),multiplication(esk1_0,star(multiplication(esk2_0,esk1_0))))
| ~ leq(multiplication(esk1_0,star(multiplication(esk2_0,esk1_0))),multiplication(star(multiplication(esk1_0,esk2_0)),esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_90,plain,
( leq(multiplication(X1,star(X2)),X3)
| addition(X3,addition(multiplication(X3,X2),multiplication(star(X4),X1))) != X3
| addition(X4,one) != one ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_91,plain,
addition(multiplication(X1,multiplication(X2,multiplication(X3,X4))),multiplication(X5,X4)) = multiplication(addition(multiplication(X1,multiplication(X2,X3)),X5),X4),
inference(spm,[status(thm)],[c_0_85,c_0_76]) ).
cnf(c_0_92,plain,
addition(X1,addition(multiplication(X1,X2),X3)) = addition(multiplication(X1,addition(X2,one)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_24]),c_0_87]) ).
cnf(c_0_93,plain,
multiplication(star(X1),addition(one,X1)) = star(X1),
inference(spm,[status(thm)],[c_0_88,c_0_32]) ).
cnf(c_0_94,plain,
leq(addition(one,multiplication(X1,multiplication(X2,star(multiplication(X1,X2))))),star(multiplication(X1,X2))),
inference(spm,[status(thm)],[c_0_27,c_0_76]) ).
cnf(c_0_95,plain,
addition(one,addition(star(X1),X2)) = addition(star(X1),X2),
inference(spm,[status(thm)],[c_0_50,c_0_79]) ).
cnf(c_0_96,negated_conjecture,
( multiplication(addition(star(multiplication(esk1_0,esk2_0)),star(X1)),esk1_0) != multiplication(star(multiplication(esk1_0,esk2_0)),esk1_0)
| addition(X1,one) != one
| ~ leq(multiplication(star(multiplication(esk1_0,esk2_0)),esk1_0),multiplication(esk1_0,star(multiplication(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_89,c_0_90]),c_0_76]),c_0_91]),c_0_69]),c_0_92]),c_0_32]),c_0_93]) ).
cnf(c_0_97,plain,
( leq(multiplication(star(X1),X2),X3)
| addition(X3,addition(multiplication(X1,X3),X2)) != X3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_46]),c_0_32]) ).
cnf(c_0_98,plain,
addition(star(multiplication(X1,X2)),multiplication(X1,multiplication(X2,star(multiplication(X1,X2))))) = star(multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_94]),c_0_50]),c_0_32]),c_0_95]) ).
cnf(c_0_99,negated_conjecture,
( multiplication(addition(star(multiplication(esk1_0,esk2_0)),star(X1)),esk1_0) != multiplication(star(multiplication(esk1_0,esk2_0)),esk1_0)
| addition(X1,one) != one ),
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(spm,[status(thm)],[c_0_96,c_0_97]),c_0_76]),c_0_32]),c_0_74]),c_0_32]),c_0_66]),c_0_87]),c_0_95]),c_0_98])]) ).
cnf(c_0_100,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_59]),c_0_32]),c_0_79]),c_0_47])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KLE042+2 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 16 14:56:42 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox2/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
% 74.52/10.83 # ENIGMATIC: Solved by autoschedule:
% 74.52/10.83 # No SInE strategy applied
% 74.52/10.83 # Trying AutoSched0 for 150 seconds
% 74.52/10.83 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S059I
% 74.52/10.83 # and selection function SelectComplexExceptUniqMaxPosHorn.
% 74.52/10.83 #
% 74.52/10.83 # Preprocessing time : 0.025 s
% 74.52/10.83 # Presaturation interreduction done
% 74.52/10.83
% 74.52/10.83 # Proof found!
% 74.52/10.83 # SZS status Theorem
% 74.52/10.83 # SZS output start CNFRefutation
% See solution above
% 74.52/10.83 # Training examples: 0 positive, 0 negative
% 74.52/10.83
% 74.52/10.83 # -------------------------------------------------
% 74.52/10.83 # User time : 8.034 s
% 74.52/10.83 # System time : 0.281 s
% 74.52/10.83 # Total time : 8.315 s
% 74.52/10.83 # Maximum resident set size: 7120 pages
% 74.52/10.83
%------------------------------------------------------------------------------