TSTP Solution File: KLE147+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KLE147+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 01:56:14 EDT 2022
% Result : Theorem 0.25s 7.44s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 19
% Syntax : Number of formulae : 188 ( 145 unt; 0 def)
% Number of atoms : 233 ( 134 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 87 ( 42 ~; 38 |; 3 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 309 ( 9 sgn 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',additive_associativity) ).
fof(idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',idempotence) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',additive_commutativity) ).
fof(star_unfold2,axiom,
! [X1] : addition(one,multiplication(star(X1),X1)) = star(X1),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',star_unfold2) ).
fof(star_induction2,axiom,
! [X1,X2,X3] :
( leq(addition(multiplication(X3,X1),X2),X3)
=> leq(multiplication(X2,star(X1)),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',star_induction2) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_right_identity) ).
fof(infty_unfold1,axiom,
! [X1] : strong_iteration(X1) = addition(multiplication(X1,strong_iteration(X1)),one),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',infty_unfold1) ).
fof(star_unfold1,axiom,
! [X1] : addition(one,multiplication(X1,star(X1))) = star(X1),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE004+0.ax',distributivity2) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_left_identity) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_associativity) ).
fof(order,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',order) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',left_annihilation) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',additive_identity) ).
fof(star_induction1,axiom,
! [X1,X2,X3] :
( leq(addition(multiplication(X1,X3),X2),X3)
=> leq(multiplication(star(X1),X2),X3) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE004+0.ax',distributivity1) ).
fof(infty_coinduction,axiom,
! [X1,X2,X3] :
( leq(X3,addition(multiplication(X1,X3),X2))
=> leq(X3,multiplication(strong_iteration(X1),X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',infty_coinduction) ).
fof(isolation,axiom,
! [X1] : strong_iteration(X1) = addition(star(X1),multiplication(strong_iteration(X1),zero)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',isolation) ).
fof(goals,conjecture,
! [X4,X5] :
( leq(strong_iteration(multiplication(star(X4),X5)),multiplication(star(X5),strong_iteration(multiplication(star(X4),X5))))
& leq(multiplication(star(X5),strong_iteration(multiplication(star(X4),X5))),strong_iteration(multiplication(star(X4),X5))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(c_0_19,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_20,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[idempotence]) ).
cnf(c_0_21,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_22,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_23,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_24,plain,
! [X2] : addition(one,multiplication(star(X2),X2)) = star(X2),
inference(variable_rename,[status(thm)],[star_unfold2]) ).
fof(c_0_25,plain,
! [X4,X5,X6] :
( ~ leq(addition(multiplication(X6,X4),X5),X6)
| leq(multiplication(X5,star(X4)),X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction2])]) ).
fof(c_0_26,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_27,plain,
! [X2] : strong_iteration(X2) = addition(multiplication(X2,strong_iteration(X2)),one),
inference(variable_rename,[status(thm)],[infty_unfold1]) ).
cnf(c_0_28,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_30,plain,
! [X2] : addition(one,multiplication(X2,star(X2))) = star(X2),
inference(variable_rename,[status(thm)],[star_unfold1]) ).
fof(c_0_31,plain,
! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
inference(variable_rename,[status(thm)],[distributivity2]) ).
cnf(c_0_32,plain,
addition(one,multiplication(star(X1),X1)) = star(X1),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_33,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_34,plain,
( leq(multiplication(X1,star(X2)),X3)
| ~ leq(addition(multiplication(X3,X2),X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
strong_iteration(X1) = addition(multiplication(X1,strong_iteration(X1)),one),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_37,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_38,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_39,plain,
addition(one,multiplication(X1,star(X1))) = star(X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
addition(one,star(X1)) = star(X1),
inference(spm,[status(thm)],[c_0_28,c_0_32]) ).
cnf(c_0_42,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,plain,
( leq(multiplication(X1,star(one)),X2)
| ~ leq(addition(X2,X1),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_44,plain,
addition(one,multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
inference(rw,[status(thm)],[c_0_36,c_0_29]) ).
cnf(c_0_45,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,plain,
addition(star(X1),multiplication(X1,star(X1))) = star(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_29]) ).
cnf(c_0_47,plain,
addition(X1,multiplication(star(X2),X1)) = multiplication(star(X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_48,plain,
( leq(multiplication(X1,star(one)),X2)
| ~ leq(addition(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_29]) ).
cnf(c_0_49,plain,
addition(one,strong_iteration(X1)) = strong_iteration(X1),
inference(spm,[status(thm)],[c_0_28,c_0_44]) ).
fof(c_0_50,plain,
! [X3,X4,X3,X4] :
( ( ~ leq(X3,X4)
| addition(X3,X4) = X4 )
& ( addition(X3,X4) != X4
| leq(X3,X4) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])])])]) ).
cnf(c_0_51,plain,
addition(X1,multiplication(X2,multiplication(star(X2),X1))) = multiplication(star(X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_39]),c_0_42]),c_0_45]) ).
cnf(c_0_52,plain,
multiplication(star(X1),star(star(X1))) = star(star(X1)),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,plain,
( leq(star(one),strong_iteration(X1))
| ~ leq(strong_iteration(X1),strong_iteration(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_42]) ).
cnf(c_0_54,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_55,plain,
addition(star(star(X1)),multiplication(X1,star(star(X1)))) = star(star(X1)),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_57,plain,
leq(star(one),strong_iteration(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_22])]) ).
fof(c_0_58,plain,
! [X2] : multiplication(zero,X2) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
fof(c_0_59,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[additive_identity]) ).
fof(c_0_60,plain,
! [X4,X5,X6] :
( ~ leq(addition(multiplication(X4,X6),X5),X6)
| leq(multiplication(star(X4),X5),X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction1])]) ).
fof(c_0_61,plain,
! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
inference(variable_rename,[status(thm)],[distributivity1]) ).
cnf(c_0_62,plain,
addition(star(multiplication(X1,X2)),multiplication(X1,multiplication(X2,star(multiplication(X1,X2))))) = star(multiplication(X1,X2)),
inference(spm,[status(thm)],[c_0_46,c_0_45]) ).
cnf(c_0_63,plain,
multiplication(star(X1),star(star(star(X1)))) = star(star(star(X1))),
inference(spm,[status(thm)],[c_0_47,c_0_55]) ).
cnf(c_0_64,plain,
addition(star(one),strong_iteration(X1)) = strong_iteration(X1),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_65,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_66,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_67,plain,
( leq(multiplication(star(X1),X2),X3)
| ~ leq(addition(multiplication(X1,X3),X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_68,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_69,plain,
multiplication(star(X1),star(star(star(star(X1))))) = star(star(star(star(X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_52]),c_0_47]) ).
cnf(c_0_70,plain,
addition(strong_iteration(X1),star(one)) = strong_iteration(X1),
inference(spm,[status(thm)],[c_0_29,c_0_64]) ).
cnf(c_0_71,plain,
strong_iteration(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_65]),c_0_66]) ).
cnf(c_0_72,plain,
( leq(multiplication(star(X1),X2),X3)
| ~ leq(addition(X2,multiplication(X1,X3)),X3) ),
inference(spm,[status(thm)],[c_0_67,c_0_29]) ).
cnf(c_0_73,plain,
addition(X1,multiplication(X1,multiplication(star(X2),X2))) = multiplication(X1,star(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_32]),c_0_35]) ).
cnf(c_0_74,plain,
multiplication(star(X1),star(star(star(star(star(X1)))))) = star(star(star(star(star(X1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_69]),c_0_52]),c_0_47]) ).
cnf(c_0_75,plain,
( leq(multiplication(X1,star(X2)),X3)
| ~ leq(addition(X1,multiplication(X3,X2)),X3) ),
inference(spm,[status(thm)],[c_0_34,c_0_29]) ).
cnf(c_0_76,plain,
star(one) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_41]) ).
cnf(c_0_77,plain,
addition(X1,multiplication(X1,star(X2))) = multiplication(X1,star(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_41]),c_0_35]) ).
cnf(c_0_78,plain,
( leq(multiplication(star(star(X1)),X2),X2)
| ~ leq(multiplication(star(X1),X2),X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_47]) ).
cnf(c_0_79,plain,
multiplication(star(X1),X1) = multiplication(X1,star(X1)),
inference(spm,[status(thm)],[c_0_73,c_0_51]) ).
cnf(c_0_80,plain,
multiplication(star(X1),star(star(star(star(star(star(X1))))))) = star(star(star(star(star(star(X1)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_74]),c_0_52]),c_0_47]) ).
fof(c_0_81,plain,
! [X4,X5,X6] :
( ~ leq(X6,addition(multiplication(X4,X6),X5))
| leq(X6,multiplication(strong_iteration(X4),X5)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[infty_coinduction])]) ).
cnf(c_0_82,plain,
( leq(X1,X2)
| ~ leq(addition(X1,X2),X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_35]),c_0_76]),c_0_35]) ).
cnf(c_0_83,plain,
addition(star(X1),star(star(star(star(star(X1)))))) = star(star(star(star(star(X1))))),
inference(spm,[status(thm)],[c_0_77,c_0_74]) ).
cnf(c_0_84,plain,
( leq(star(star(X1)),X1)
| ~ leq(star(X1),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_39]),c_0_42]) ).
cnf(c_0_85,plain,
( leq(star(star(X1)),star(X1))
| ~ leq(multiplication(star(X1),star(X1)),star(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_52]) ).
cnf(c_0_86,plain,
( leq(multiplication(X1,star(X2)),X3)
| addition(X1,addition(X3,multiplication(X3,X2))) != X3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_54]),c_0_21]),c_0_29]) ).
cnf(c_0_87,plain,
multiplication(star(X1),star(star(star(star(star(star(star(X1)))))))) = star(star(star(star(star(star(star(X1))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_80]),c_0_52]),c_0_47]) ).
cnf(c_0_88,plain,
( leq(X1,multiplication(strong_iteration(X2),X3))
| ~ leq(X1,addition(multiplication(X2,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_89,plain,
( leq(star(X1),star(star(star(star(star(X1))))))
| ~ leq(star(star(star(star(star(X1))))),star(star(star(star(star(X1)))))) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_90,plain,
( addition(X1,star(star(X1))) = X1
| ~ leq(star(X1),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_84]),c_0_29]) ).
cnf(c_0_91,plain,
leq(star(star(X1)),star(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_79]),c_0_46]),c_0_22])]) ).
cnf(c_0_92,plain,
addition(star(X1),star(star(star(X1)))) = star(star(star(X1))),
inference(spm,[status(thm)],[c_0_77,c_0_63]) ).
cnf(c_0_93,plain,
multiplication(star(X1),star(star(star(star(star(star(star(star(X1))))))))) = star(star(star(star(star(star(star(star(X1)))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_87]),c_0_52]),c_0_47]) ).
cnf(c_0_94,plain,
( leq(X1,multiplication(strong_iteration(X2),X3))
| ~ leq(X1,addition(X3,multiplication(X2,X1))) ),
inference(spm,[status(thm)],[c_0_88,c_0_29]) ).
cnf(c_0_95,plain,
addition(one,multiplication(X1,multiplication(X2,star(multiplication(X1,X2))))) = star(multiplication(X1,X2)),
inference(spm,[status(thm)],[c_0_39,c_0_45]) ).
cnf(c_0_96,plain,
addition(X1,multiplication(X2,multiplication(strong_iteration(X2),X1))) = multiplication(strong_iteration(X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_44]),c_0_42]),c_0_45]) ).
cnf(c_0_97,plain,
leq(star(X1),star(star(star(star(star(X1)))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_54]),c_0_22])]) ).
cnf(c_0_98,plain,
star(star(star(X1))) = star(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).
cnf(c_0_99,plain,
multiplication(star(X1),star(star(star(star(star(star(star(star(star(X1)))))))))) = star(star(star(star(star(star(star(star(star(X1))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_93]),c_0_52]),c_0_47]) ).
fof(c_0_100,plain,
! [X2] : strong_iteration(X2) = addition(star(X2),multiplication(strong_iteration(X2),zero)),
inference(variable_rename,[status(thm)],[isolation]) ).
cnf(c_0_101,plain,
( leq(multiplication(X1,star(multiplication(X2,X1))),strong_iteration(X2))
| ~ leq(multiplication(X1,star(multiplication(X2,X1))),star(multiplication(X2,X1))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_35]) ).
cnf(c_0_102,plain,
multiplication(strong_iteration(X1),star(multiplication(X1,strong_iteration(X1)))) = star(multiplication(X1,strong_iteration(X1))),
inference(spm,[status(thm)],[c_0_96,c_0_62]) ).
cnf(c_0_103,plain,
leq(star(X1),star(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98]),c_0_98]) ).
cnf(c_0_104,plain,
multiplication(star(X1),star(star(star(star(star(star(star(star(star(star(X1))))))))))) = star(star(star(star(star(star(star(star(star(star(X1)))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_99]),c_0_52]),c_0_47]) ).
cnf(c_0_105,plain,
strong_iteration(X1) = addition(star(X1),multiplication(strong_iteration(X1),zero)),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_106,plain,
leq(star(multiplication(X1,strong_iteration(X1))),strong_iteration(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103])]) ).
cnf(c_0_107,plain,
addition(X1,multiplication(strong_iteration(X2),X1)) = multiplication(strong_iteration(X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_49]),c_0_42]) ).
cnf(c_0_108,plain,
multiplication(star(X1),star(star(star(star(star(star(star(star(star(star(star(X1)))))))))))) = star(star(star(star(star(star(star(star(star(star(star(X1))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_104]),c_0_52]),c_0_47]) ).
cnf(c_0_109,plain,
multiplication(star(X1),multiplication(star(star(X1)),X2)) = multiplication(star(star(X1)),X2),
inference(spm,[status(thm)],[c_0_45,c_0_52]) ).
cnf(c_0_110,plain,
star(star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_98]),c_0_79]),c_0_52]),c_0_41]) ).
cnf(c_0_111,plain,
( leq(multiplication(star(one),X1),X2)
| ~ leq(addition(X2,X1),X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_42]) ).
cnf(c_0_112,plain,
addition(one,addition(multiplication(star(addition(X1,X2)),X1),multiplication(star(addition(X1,X2)),X2))) = star(addition(X1,X2)),
inference(spm,[status(thm)],[c_0_32,c_0_68]) ).
cnf(c_0_113,plain,
addition(strong_iteration(X1),star(X1)) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_105]),c_0_29]) ).
cnf(c_0_114,plain,
addition(one,addition(multiplication(star(X1),X1),X2)) = addition(star(X1),X2),
inference(spm,[status(thm)],[c_0_21,c_0_32]) ).
cnf(c_0_115,plain,
( leq(multiplication(X1,multiplication(X2,star(X2))),X1)
| ~ leq(multiplication(X1,X2),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_22]),c_0_45]) ).
cnf(c_0_116,plain,
addition(X1,multiplication(X1,multiplication(X2,star(X2)))) = multiplication(X1,star(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_39]),c_0_35]) ).
cnf(c_0_117,plain,
addition(star(addition(X1,X2)),addition(multiplication(X1,star(addition(X1,X2))),multiplication(X2,star(addition(X1,X2))))) = star(addition(X1,X2)),
inference(spm,[status(thm)],[c_0_46,c_0_40]) ).
cnf(c_0_118,plain,
addition(strong_iteration(X1),star(multiplication(X1,strong_iteration(X1)))) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_106]),c_0_29]) ).
cnf(c_0_119,plain,
multiplication(strong_iteration(X1),star(strong_iteration(X1))) = star(strong_iteration(X1)),
inference(spm,[status(thm)],[c_0_46,c_0_107]) ).
cnf(c_0_120,plain,
( leq(star(X1),multiplication(X2,star(multiplication(X1,X2))))
| ~ leq(star(multiplication(X1,X2)),multiplication(X2,star(multiplication(X1,X2)))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_95]),c_0_35]) ).
cnf(c_0_121,plain,
multiplication(star(X1),star(X1)) = star(X1),
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)],[c_0_108,c_0_98]),c_0_98]),c_0_98]),c_0_98]),c_0_98]),c_0_98]),c_0_98]),c_0_98]),c_0_98]),c_0_98]) ).
cnf(c_0_122,plain,
multiplication(star(X1),multiplication(star(X1),X2)) = multiplication(star(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110]),c_0_110]) ).
cnf(c_0_123,plain,
( leq(X1,X2)
| ~ leq(addition(X2,X1),X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_76]),c_0_42]) ).
cnf(c_0_124,plain,
multiplication(star(strong_iteration(X1)),star(X1)) = star(strong_iteration(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]),c_0_77]) ).
cnf(c_0_125,plain,
addition(strong_iteration(X1),multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_44]),c_0_29]) ).
cnf(c_0_126,plain,
( multiplication(X1,star(X2)) = X1
| ~ leq(multiplication(X1,X2),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_115]),c_0_29]),c_0_116]) ).
cnf(c_0_127,plain,
multiplication(star(multiplication(X1,strong_iteration(X1))),star(strong_iteration(X1))) = star(strong_iteration(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]),c_0_47]),c_0_47]) ).
cnf(c_0_128,plain,
leq(star(strong_iteration(X1)),star(multiplication(X1,strong_iteration(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_102]),c_0_110]),c_0_121]),c_0_110]),c_0_110]),c_0_121]),c_0_103])]) ).
cnf(c_0_129,plain,
addition(X1,addition(X2,addition(multiplication(X1,star(X3)),multiplication(X2,star(X3))))) = addition(multiplication(X1,star(X3)),multiplication(X2,star(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_77]),c_0_40]),c_0_40]) ).
cnf(c_0_130,plain,
addition(one,addition(multiplication(X1,star(X1)),X2)) = addition(star(X1),X2),
inference(spm,[status(thm)],[c_0_21,c_0_39]) ).
cnf(c_0_131,plain,
addition(multiplication(strong_iteration(X1),zero),multiplication(star(X1),X2)) = multiplication(strong_iteration(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_105]),c_0_45]),c_0_65]),c_0_29]) ).
cnf(c_0_132,plain,
multiplication(star(X1),multiplication(X1,star(X1))) = multiplication(X1,star(X1)),
inference(spm,[status(thm)],[c_0_122,c_0_79]) ).
cnf(c_0_133,plain,
leq(multiplication(X1,star(X1)),star(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_46]),c_0_103])]) ).
cnf(c_0_134,plain,
addition(star(X1),star(strong_iteration(X1))) = star(strong_iteration(X1)),
inference(spm,[status(thm)],[c_0_47,c_0_124]) ).
cnf(c_0_135,plain,
addition(X1,multiplication(star(X2),multiplication(X2,X1))) = multiplication(star(X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_32]),c_0_42]),c_0_45]) ).
cnf(c_0_136,plain,
addition(strong_iteration(multiplication(X1,X2)),multiplication(X1,multiplication(X2,strong_iteration(multiplication(X1,X2))))) = strong_iteration(multiplication(X1,X2)),
inference(spm,[status(thm)],[c_0_125,c_0_45]) ).
cnf(c_0_137,plain,
star(multiplication(X1,strong_iteration(X1))) = star(strong_iteration(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_110]),c_0_127]),c_0_128])]) ).
cnf(c_0_138,plain,
addition(X1,star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_42]),c_0_22]),c_0_42]),c_0_29]),c_0_46]) ).
cnf(c_0_139,plain,
multiplication(strong_iteration(X1),star(star(star(star(star(X1)))))) = addition(star(star(star(star(star(X1))))),multiplication(strong_iteration(X1),zero)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_74]),c_0_29]) ).
cnf(c_0_140,plain,
multiplication(star(X1),star(multiplication(X1,star(X1)))) = star(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_132]),c_0_133])]) ).
cnf(c_0_141,plain,
addition(multiplication(star(X1),X2),multiplication(star(strong_iteration(X1)),X2)) = multiplication(star(strong_iteration(X1)),X2),
inference(spm,[status(thm)],[c_0_40,c_0_134]) ).
cnf(c_0_142,plain,
addition(one,multiplication(X1,multiplication(X2,strong_iteration(multiplication(X1,X2))))) = strong_iteration(multiplication(X1,X2)),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_143,plain,
multiplication(star(X1),multiplication(X1,X2)) = multiplication(X1,multiplication(star(X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_79]),c_0_45]) ).
cnf(c_0_144,plain,
multiplication(star(X1),strong_iteration(multiplication(X1,star(X1)))) = strong_iteration(multiplication(X1,star(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_79]),c_0_79]) ).
cnf(c_0_145,plain,
leq(star(strong_iteration(X1)),strong_iteration(X1)),
inference(rw,[status(thm)],[c_0_106,c_0_137]) ).
cnf(c_0_146,plain,
star(strong_iteration(X1)) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_137]),c_0_138]) ).
cnf(c_0_147,plain,
( leq(X1,multiplication(strong_iteration(multiplication(X2,X3)),X4))
| ~ leq(X1,addition(X4,multiplication(X2,multiplication(X3,X1)))) ),
inference(spm,[status(thm)],[c_0_94,c_0_45]) ).
cnf(c_0_148,plain,
addition(X1,multiplication(X1,multiplication(X2,strong_iteration(X2)))) = multiplication(X1,strong_iteration(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_44]),c_0_35]) ).
cnf(c_0_149,plain,
multiplication(strong_iteration(X1),star(X1)) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_98]),c_0_98]),c_0_98]),c_0_98]),c_0_105]) ).
cnf(c_0_150,plain,
star(multiplication(X1,star(X1))) = star(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_140]),c_0_39]) ).
cnf(c_0_151,plain,
addition(star(strong_iteration(X1)),multiplication(star(X1),strong_iteration(X1))) = star(strong_iteration(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_79]),c_0_119]),c_0_119]),c_0_29]) ).
cnf(c_0_152,plain,
addition(one,multiplication(X1,strong_iteration(multiplication(X1,star(X1))))) = strong_iteration(multiplication(X1,star(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_79]),c_0_143]),c_0_144]) ).
cnf(c_0_153,plain,
leq(strong_iteration(X1),strong_iteration(X1)),
inference(rw,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_154,plain,
( leq(strong_iteration(X1),multiplication(strong_iteration(multiplication(X2,X1)),X2))
| ~ leq(strong_iteration(X1),multiplication(X2,strong_iteration(X1))) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_155,plain,
multiplication(strong_iteration(multiplication(X1,star(X1))),star(X1)) = strong_iteration(multiplication(X1,star(X1))),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_156,plain,
multiplication(star(X1),strong_iteration(X1)) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_146]),c_0_47]),c_0_146]) ).
cnf(c_0_157,plain,
leq(strong_iteration(multiplication(X1,star(X1))),strong_iteration(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_152]),c_0_35]),c_0_153])]) ).
cnf(c_0_158,plain,
leq(strong_iteration(X1),strong_iteration(multiplication(X1,star(X1)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_79]),c_0_155]),c_0_156]),c_0_153])]) ).
cnf(c_0_159,plain,
addition(strong_iteration(X1),strong_iteration(multiplication(X1,star(X1)))) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_157]),c_0_29]) ).
cnf(c_0_160,plain,
strong_iteration(multiplication(X1,star(X1))) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_158]),c_0_159]) ).
cnf(c_0_161,plain,
addition(multiplication(strong_iteration(X1),X2),multiplication(star(X1),X2)) = multiplication(strong_iteration(X1),X2),
inference(spm,[status(thm)],[c_0_40,c_0_113]) ).
cnf(c_0_162,plain,
( leq(X1,multiplication(strong_iteration(X2),X1))
| ~ leq(X1,multiplication(star(X2),X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_51]),c_0_160]) ).
cnf(c_0_163,plain,
( leq(multiplication(X1,star(X2)),addition(X3,X4))
| ~ leq(addition(multiplication(X3,X2),addition(multiplication(X4,X2),X1)),addition(X3,X4)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_40]),c_0_21]) ).
cnf(c_0_164,plain,
addition(multiplication(X1,strong_iteration(X2)),multiplication(X1,star(X2))) = multiplication(X1,strong_iteration(X2)),
inference(spm,[status(thm)],[c_0_68,c_0_113]) ).
cnf(c_0_165,plain,
multiplication(star(X1),star(strong_iteration(X1))) = star(strong_iteration(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_161]),c_0_119]),c_0_41]),c_0_47]) ).
cnf(c_0_166,plain,
leq(X1,multiplication(strong_iteration(X2),X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_54]),c_0_47])]) ).
cnf(c_0_167,plain,
( leq(X1,multiplication(strong_iteration(addition(X2,X3)),X4))
| ~ leq(X1,addition(X4,addition(multiplication(X2,X1),multiplication(X3,X1)))) ),
inference(spm,[status(thm)],[c_0_94,c_0_40]) ).
cnf(c_0_168,plain,
addition(one,addition(multiplication(X1,strong_iteration(X1)),X2)) = addition(strong_iteration(X1),X2),
inference(spm,[status(thm)],[c_0_21,c_0_44]) ).
cnf(c_0_169,plain,
( leq(multiplication(X1,strong_iteration(X2)),addition(X3,X1))
| ~ leq(addition(multiplication(X3,strong_iteration(X2)),multiplication(X1,strong_iteration(X2))),addition(X3,X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_45]),c_0_165]),c_0_146]) ).
cnf(c_0_170,plain,
leq(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_71]),c_0_42]) ).
cnf(c_0_171,plain,
addition(one,addition(multiplication(X1,star(addition(X1,X2))),addition(multiplication(X2,star(addition(X1,X2))),X3))) = addition(star(addition(X1,X2)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_40]),c_0_21]) ).
cnf(c_0_172,plain,
addition(one,addition(multiplication(X1,star(addition(X1,X2))),multiplication(X2,star(addition(X1,X2))))) = star(addition(X1,X2)),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_173,plain,
( leq(strong_iteration(X1),strong_iteration(addition(X1,X2)))
| ~ leq(strong_iteration(X1),addition(strong_iteration(X1),multiplication(X2,strong_iteration(X1)))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_35]) ).
fof(c_0_174,negated_conjecture,
~ ! [X4,X5] :
( leq(strong_iteration(multiplication(star(X4),X5)),multiplication(star(X5),strong_iteration(multiplication(star(X4),X5))))
& leq(multiplication(star(X5),strong_iteration(multiplication(star(X4),X5))),strong_iteration(multiplication(star(X4),X5))) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_175,plain,
leq(X1,addition(X2,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_169,c_0_71]),c_0_35]),c_0_35]),c_0_35]),c_0_170])]) ).
cnf(c_0_176,plain,
multiplication(star(X1),star(addition(X2,strong_iteration(X1)))) = star(addition(X2,strong_iteration(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_161]),c_0_172]),c_0_47]) ).
cnf(c_0_177,plain,
leq(strong_iteration(X1),strong_iteration(addition(X1,X2))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_54]),c_0_28])]) ).
fof(c_0_178,negated_conjecture,
( ~ leq(strong_iteration(multiplication(star(esk1_0),esk2_0)),multiplication(star(esk2_0),strong_iteration(multiplication(star(esk1_0),esk2_0))))
| ~ leq(multiplication(star(esk4_0),strong_iteration(multiplication(star(esk3_0),esk4_0))),strong_iteration(multiplication(star(esk3_0),esk4_0))) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_174])])])]) ).
cnf(c_0_179,plain,
leq(X1,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_175,c_0_29]) ).
cnf(c_0_180,plain,
multiplication(star(X1),star(addition(strong_iteration(X1),X2))) = star(addition(strong_iteration(X1),X2)),
inference(spm,[status(thm)],[c_0_176,c_0_29]) ).
cnf(c_0_181,plain,
addition(strong_iteration(X1),strong_iteration(addition(X1,X2))) = strong_iteration(addition(X1,X2)),
inference(spm,[status(thm)],[c_0_56,c_0_177]) ).
cnf(c_0_182,negated_conjecture,
( ~ leq(multiplication(star(esk4_0),strong_iteration(multiplication(star(esk3_0),esk4_0))),strong_iteration(multiplication(star(esk3_0),esk4_0)))
| ~ leq(strong_iteration(multiplication(star(esk1_0),esk2_0)),multiplication(star(esk2_0),strong_iteration(multiplication(star(esk1_0),esk2_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_178]) ).
cnf(c_0_183,plain,
leq(X1,multiplication(star(X2),X1)),
inference(spm,[status(thm)],[c_0_179,c_0_47]) ).
cnf(c_0_184,plain,
multiplication(star(X1),strong_iteration(addition(X1,X2))) = strong_iteration(addition(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_146]),c_0_146]) ).
cnf(c_0_185,negated_conjecture,
~ leq(multiplication(star(esk4_0),strong_iteration(multiplication(star(esk3_0),esk4_0))),strong_iteration(multiplication(star(esk3_0),esk4_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_183])]) ).
cnf(c_0_186,plain,
multiplication(star(X1),strong_iteration(multiplication(star(X2),X1))) = strong_iteration(multiplication(star(X2),X1)),
inference(spm,[status(thm)],[c_0_184,c_0_47]) ).
cnf(c_0_187,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_186]),c_0_170])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KLE147+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 10:25:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.25/7.44 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.25/7.44 # Preprocessing time : 0.014 s
% 0.25/7.44
% 0.25/7.44 # Proof found!
% 0.25/7.44 # SZS status Theorem
% 0.25/7.44 # SZS output start CNFRefutation
% See solution above
% 0.25/7.44 # Proof object total steps : 188
% 0.25/7.44 # Proof object clause steps : 149
% 0.25/7.44 # Proof object formula steps : 39
% 0.25/7.44 # Proof object conjectures : 6
% 0.25/7.44 # Proof object clause conjectures : 3
% 0.25/7.44 # Proof object formula conjectures : 3
% 0.25/7.44 # Proof object initial clauses used : 20
% 0.25/7.44 # Proof object initial formulas used : 19
% 0.25/7.44 # Proof object generating inferences : 117
% 0.25/7.44 # Proof object simplifying inferences : 168
% 0.25/7.44 # Training examples: 0 positive, 0 negative
% 0.25/7.44 # Parsed axioms : 19
% 0.25/7.44 # Removed by relevancy pruning/SinE : 0
% 0.25/7.44 # Initial clauses : 20
% 0.25/7.44 # Removed in clause preprocessing : 0
% 0.25/7.44 # Initial clauses in saturation : 20
% 0.25/7.44 # Processed clauses : 9869
% 0.25/7.44 # ...of these trivial : 1662
% 0.25/7.44 # ...subsumed : 6104
% 0.25/7.44 # ...remaining for further processing : 2103
% 0.25/7.44 # Other redundant clauses eliminated : 0
% 0.25/7.44 # Clauses deleted for lack of memory : 141421
% 0.25/7.44 # Backward-subsumed : 56
% 0.25/7.44 # Backward-rewritten : 691
% 0.25/7.44 # Generated clauses : 427386
% 0.25/7.44 # ...of the previous two non-trivial : 315775
% 0.25/7.44 # Contextual simplify-reflections : 503
% 0.25/7.44 # Paramodulations : 427359
% 0.25/7.44 # Factorizations : 0
% 0.25/7.44 # Equation resolutions : 9
% 0.25/7.44 # Current number of processed clauses : 1349
% 0.25/7.44 # Positive orientable unit clauses : 444
% 0.25/7.44 # Positive unorientable unit clauses: 11
% 0.25/7.44 # Negative unit clauses : 33
% 0.25/7.44 # Non-unit-clauses : 861
% 0.25/7.44 # Current number of unprocessed clauses: 97743
% 0.25/7.44 # ...number of literals in the above : 191188
% 0.25/7.44 # Current number of archived formulas : 0
% 0.25/7.44 # Current number of archived clauses : 747
% 0.25/7.44 # Clause-clause subsumption calls (NU) : 105341
% 0.25/7.44 # Rec. Clause-clause subsumption calls : 95041
% 0.25/7.44 # Non-unit clause-clause subsumptions : 2392
% 0.25/7.44 # Unit Clause-clause subsumption calls : 12254
% 0.25/7.44 # Rewrite failures with RHS unbound : 0
% 0.25/7.44 # BW rewrite match attempts : 10538
% 0.25/7.44 # BW rewrite match successes : 880
% 0.25/7.44 # Condensation attempts : 0
% 0.25/7.44 # Condensation successes : 0
% 0.25/7.44 # Termbank termtop insertions : 9947050
% 0.25/7.44
% 0.25/7.44 # -------------------------------------------------
% 0.25/7.44 # User time : 6.578 s
% 0.25/7.44 # System time : 0.124 s
% 0.25/7.44 # Total time : 6.702 s
% 0.25/7.44 # Maximum resident set size: 151208 pages
%------------------------------------------------------------------------------