%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KLE166+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:59:00 PM UTC 2026
% Result : Theorem 31.02s 35.07s
% Output : CNFRefutation 31.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 19
% Syntax : Number of formulae : 156 ( 119 unt; 0 def)
% Number of atoms : 202 ( 122 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 80 ( 34 ~; 35 |; 3 &)
% ( 3 <=>; 5 =>; 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 217 ( 19 sgn 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X4,X5] :
( leq(multiplication(X4,X5),multiplication(X5,strong_iteration(addition(X5,X4))))
=> ( multiplication(strong_iteration(addition(X5,X4)),zero) = zero
<=> addition(multiplication(strong_iteration(X5),zero),multiplication(strong_iteration(X4),zero)) = zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',additive_commutativity) ).
fof(order,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',order) ).
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(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(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(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_right_identity) ).
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(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(star_unfold2,axiom,
! [X1] : addition(one,multiplication(star(X1),X1)) = star(X1),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',star_unfold2) ).
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(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_left_identity) ).
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(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(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(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(c_0_19,negated_conjecture,
~ ! [X4,X5] :
( leq(multiplication(X4,X5),multiplication(X5,strong_iteration(addition(X5,X4))))
=> ( multiplication(strong_iteration(addition(X5,X4)),zero) = zero
<=> addition(multiplication(strong_iteration(X5),zero),multiplication(strong_iteration(X4),zero)) = zero ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_20,negated_conjecture,
( ( addition(multiplication(strong_iteration(esk2_0),zero),multiplication(strong_iteration(esk1_0),zero)) = zero
| multiplication(strong_iteration(addition(esk2_0,esk1_0)),zero) = zero )
& ( addition(multiplication(strong_iteration(esk2_0),zero),multiplication(strong_iteration(esk1_0),zero)) != zero
| multiplication(strong_iteration(addition(esk2_0,esk1_0)),zero) != zero )
& leq(multiplication(esk1_0,esk2_0),multiplication(esk2_0,strong_iteration(addition(esk2_0,esk1_0)))) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
fof(c_0_21,plain,
! [X6,X7] : addition(X6,X7) = addition(X7,X6),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_22,plain,
! [X38,X39] :
( ( leq(X38,X39)
| addition(X38,X39) != X39 )
& ( addition(X38,X39) = X39
| ~ leq(X38,X39) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])])]) ).
cnf(c_0_23,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),multiplication(esk2_0,strong_iteration(addition(esk2_0,esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_25,plain,
! [X8,X9,X10] : addition(X10,addition(X9,X8)) = addition(addition(X10,X9),X8),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_26,plain,
! [X12] : addition(X12,X12) = X12,
inference(variable_rename,[status(thm)],[idempotence]) ).
cnf(c_0_27,plain,
( ~ leq(X1,X2)
| addition(X1,X2) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),multiplication(esk2_0,strong_iteration(addition(esk1_0,esk2_0)))),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_31,plain,
! [X33] : strong_iteration(X33) = addition(multiplication(X33,strong_iteration(X33)),one),
inference(variable_rename,[status(thm)],[infty_unfold1]) ).
cnf(c_0_32,negated_conjecture,
addition(multiplication(esk1_0,esk2_0),multiplication(esk2_0,strong_iteration(addition(esk1_0,esk2_0)))) = multiplication(esk2_0,strong_iteration(addition(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
( addition(X1,X2) != X2
| leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,plain,
strong_iteration(X1) = addition(multiplication(X1,strong_iteration(X1)),one),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,negated_conjecture,
addition(multiplication(esk1_0,esk2_0),addition(multiplication(esk2_0,strong_iteration(addition(esk1_0,esk2_0))),X1)) = addition(multiplication(esk2_0,strong_iteration(addition(esk1_0,esk2_0))),X1),
inference(spm,[status(thm)],[c_0_29,c_0_32]) ).
cnf(c_0_37,plain,
leq(X1,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_38,plain,
! [X25] : addition(one,multiplication(X25,star(X25))) = star(X25),
inference(variable_rename,[status(thm)],[star_unfold1]) ).
cnf(c_0_39,plain,
addition(one,multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
inference(rw,[status(thm)],[c_0_35,c_0_24]) ).
fof(c_0_40,plain,
! [X18,X19,X20] : multiplication(X18,addition(X19,X20)) = addition(multiplication(X18,X19),multiplication(X18,X20)),
inference(variable_rename,[status(thm)],[distributivity1]) ).
fof(c_0_41,plain,
! [X16] : multiplication(X16,one) = X16,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
cnf(c_0_42,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),addition(multiplication(esk2_0,strong_iteration(addition(esk1_0,esk2_0))),X1)),
inference(spm,[status(thm)],[c_0_33,c_0_36]) ).
fof(c_0_43,plain,
! [X21,X22,X23] : multiplication(addition(X21,X22),X23) = addition(multiplication(X21,X23),multiplication(X22,X23)),
inference(variable_rename,[status(thm)],[distributivity2]) ).
fof(c_0_44,plain,
! [X27,X28,X29] :
( leq(multiplication(star(X27),X28),X29)
| ~ leq(addition(multiplication(X27,X29),X28),X29) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction1])])]) ).
cnf(c_0_45,plain,
leq(X1,addition(X2,X1)),
inference(spm,[status(thm)],[c_0_37,c_0_24]) ).
fof(c_0_46,plain,
! [X26] : addition(one,multiplication(star(X26),X26)) = star(X26),
inference(variable_rename,[status(thm)],[star_unfold2]) ).
cnf(c_0_47,plain,
addition(one,multiplication(X1,star(X1))) = star(X1),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
addition(one,addition(multiplication(X1,strong_iteration(X1)),X2)) = addition(strong_iteration(X1),X2),
inference(spm,[status(thm)],[c_0_29,c_0_39]) ).
cnf(c_0_49,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,plain,
addition(one,strong_iteration(X1)) = strong_iteration(X1),
inference(spm,[status(thm)],[c_0_34,c_0_39]) ).
cnf(c_0_51,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),addition(X1,multiplication(esk2_0,strong_iteration(addition(esk1_0,esk2_0))))),
inference(spm,[status(thm)],[c_0_42,c_0_24]) ).
cnf(c_0_53,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_54,plain,
! [X37] : strong_iteration(X37) = addition(star(X37),multiplication(strong_iteration(X37),zero)),
inference(variable_rename,[status(thm)],[isolation]) ).
cnf(c_0_55,plain,
( ~ leq(addition(multiplication(X1,X2),X3),X2)
| leq(multiplication(star(X1),X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_56,plain,
leq(multiplication(X1,strong_iteration(X1)),strong_iteration(X1)),
inference(spm,[status(thm)],[c_0_45,c_0_39]) ).
cnf(c_0_57,plain,
addition(one,multiplication(star(X1),X1)) = star(X1),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_58,plain,
! [X17] : multiplication(one,X17) = X17,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
fof(c_0_59,plain,
! [X24] : multiplication(zero,X24) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
fof(c_0_60,plain,
! [X11] : addition(X11,zero) = X11,
inference(variable_rename,[status(thm)],[additive_identity]) ).
cnf(c_0_61,plain,
addition(one,addition(multiplication(X1,star(X1)),X2)) = addition(star(X1),X2),
inference(spm,[status(thm)],[c_0_29,c_0_47]) ).
fof(c_0_62,plain,
! [X13,X14,X15] : multiplication(X13,multiplication(X14,X15)) = multiplication(multiplication(X13,X14),X15),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_63,plain,
addition(one,addition(X1,multiplication(X2,strong_iteration(X2)))) = addition(strong_iteration(X2),X1),
inference(spm,[status(thm)],[c_0_48,c_0_24]) ).
cnf(c_0_64,plain,
addition(X1,multiplication(X1,strong_iteration(X2))) = multiplication(X1,strong_iteration(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_65,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),addition(X1,addition(X2,multiplication(esk2_0,strong_iteration(addition(esk1_0,esk2_0)))))),
inference(spm,[status(thm)],[c_0_52,c_0_29]) ).
cnf(c_0_66,plain,
addition(one,addition(multiplication(X1,strong_iteration(addition(X1,X2))),multiplication(X2,strong_iteration(addition(X1,X2))))) = strong_iteration(addition(X1,X2)),
inference(spm,[status(thm)],[c_0_39,c_0_53]) ).
cnf(c_0_67,plain,
strong_iteration(X1) = addition(star(X1),multiplication(strong_iteration(X1),zero)),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_68,plain,
( ~ leq(addition(X2,multiplication(X1,X3)),X3)
| leq(multiplication(star(X1),X2),X3) ),
inference(spm,[status(thm)],[c_0_55,c_0_24]) ).
cnf(c_0_69,plain,
addition(strong_iteration(X1),multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_56]),c_0_24]) ).
cnf(c_0_70,plain,
leq(X1,X1),
inference(spm,[status(thm)],[c_0_33,c_0_30]) ).
cnf(c_0_71,plain,
addition(one,star(X1)) = star(X1),
inference(spm,[status(thm)],[c_0_34,c_0_57]) ).
cnf(c_0_72,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_73,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_74,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_75,plain,
! [X34,X35,X36] :
( leq(X36,multiplication(strong_iteration(X34),X35))
| ~ leq(X36,addition(multiplication(X34,X36),X35)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[infty_coinduction])])]) ).
cnf(c_0_76,plain,
leq(one,addition(star(X1),X2)),
inference(spm,[status(thm)],[c_0_37,c_0_61]) ).
cnf(c_0_77,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_24,c_0_29]) ).
cnf(c_0_78,negated_conjecture,
( addition(multiplication(strong_iteration(esk2_0),zero),multiplication(strong_iteration(esk1_0),zero)) = zero
| multiplication(strong_iteration(addition(esk2_0,esk1_0)),zero) = zero ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_79,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_80,plain,
leq(addition(X1,X2),addition(X1,addition(X2,X3))),
inference(spm,[status(thm)],[c_0_37,c_0_29]) ).
cnf(c_0_81,plain,
addition(X1,strong_iteration(X1)) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_39]),c_0_24]) ).
cnf(c_0_82,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),strong_iteration(addition(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
fof(c_0_83,plain,
! [X30,X31,X32] :
( leq(multiplication(X31,star(X30)),X32)
| ~ leq(addition(multiplication(X32,X30),X31),X32) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction2])])]) ).
cnf(c_0_84,plain,
addition(multiplication(strong_iteration(X1),zero),star(X1)) = strong_iteration(X1),
inference(rw,[status(thm)],[c_0_67,c_0_24]) ).
cnf(c_0_85,plain,
leq(multiplication(star(X1),strong_iteration(X1)),strong_iteration(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
cnf(c_0_86,plain,
addition(X1,multiplication(star(X2),X1)) = multiplication(star(X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_71]),c_0_72]) ).
cnf(c_0_87,plain,
addition(X1,multiplication(X1,multiplication(star(X2),X2))) = multiplication(X1,star(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_57]),c_0_51]) ).
cnf(c_0_88,plain,
star(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_73]),c_0_74]) ).
cnf(c_0_89,plain,
( ~ leq(X1,addition(multiplication(X2,X1),X3))
| leq(X1,multiplication(strong_iteration(X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_90,plain,
leq(one,addition(X1,star(X2))),
inference(spm,[status(thm)],[c_0_76,c_0_24]) ).
cnf(c_0_91,plain,
leq(X1,addition(X2,addition(X1,X3))),
inference(spm,[status(thm)],[c_0_37,c_0_77]) ).
cnf(c_0_92,negated_conjecture,
( multiplication(strong_iteration(addition(esk1_0,esk2_0)),zero) = zero
| addition(multiplication(strong_iteration(esk1_0),zero),multiplication(strong_iteration(esk2_0),zero)) = zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_24]),c_0_24]) ).
cnf(c_0_93,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_74,c_0_24]) ).
cnf(c_0_94,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_53,c_0_39]),c_0_72]),c_0_79]) ).
cnf(c_0_95,plain,
leq(addition(X1,X2),addition(X1,strong_iteration(X2))),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_96,negated_conjecture,
addition(multiplication(esk1_0,esk2_0),strong_iteration(addition(esk1_0,esk2_0))) = strong_iteration(addition(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_27,c_0_82]) ).
cnf(c_0_97,plain,
( ~ leq(addition(multiplication(X1,X2),X3),X1)
| leq(multiplication(X3,star(X2)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_98,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(spm,[status(thm)],[c_0_53,c_0_84]),c_0_79]),c_0_73]) ).
cnf(c_0_99,plain,
multiplication(star(X1),strong_iteration(X1)) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_85]),c_0_24]),c_0_86]) ).
cnf(c_0_100,plain,
addition(X1,multiplication(X1,zero)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_72]),c_0_51]) ).
cnf(c_0_101,plain,
( ~ leq(one,multiplication(X1,star(X1)))
| multiplication(X1,star(X1)) = star(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_47]) ).
cnf(c_0_102,plain,
leq(one,multiplication(strong_iteration(X1),star(X2))),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_103,plain,
leq(X1,addition(X2,multiplication(X1,star(X3)))),
inference(spm,[status(thm)],[c_0_91,c_0_87]) ).
cnf(c_0_104,negated_conjecture,
( ~ leq(X1,addition(multiplication(esk1_0,X1),multiplication(esk2_0,X1)))
| leq(X1,zero)
| addition(multiplication(strong_iteration(esk1_0),zero),multiplication(strong_iteration(esk2_0),zero)) = zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_92]),c_0_53]),c_0_74]) ).
cnf(c_0_105,plain,
multiplication(X1,multiplication(strong_iteration(X1),zero)) = multiplication(strong_iteration(X1),zero),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_106,plain,
( ~ leq(addition(X1,X2),X3)
| addition(X1,addition(X2,X3)) = X3 ),
inference(spm,[status(thm)],[c_0_27,c_0_29]) ).
cnf(c_0_107,negated_conjecture,
leq(addition(esk1_0,addition(esk2_0,multiplication(esk1_0,esk2_0))),strong_iteration(addition(esk1_0,esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_24]),c_0_29]) ).
cnf(c_0_108,plain,
( ~ leq(multiplication(X1,X2),X1)
| leq(multiplication(X1,multiplication(X2,star(X2))),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_30]),c_0_79]) ).
cnf(c_0_109,plain,
multiplication(strong_iteration(X1),strong_iteration(X1)) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_24]),c_0_100]) ).
cnf(c_0_110,plain,
multiplication(strong_iteration(X1),star(strong_iteration(X1))) = star(strong_iteration(X1)),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_111,plain,
leq(X1,star(X1)),
inference(spm,[status(thm)],[c_0_103,c_0_47]) ).
cnf(c_0_112,negated_conjecture,
( leq(multiplication(strong_iteration(esk2_0),zero),zero)
| addition(multiplication(strong_iteration(esk1_0),zero),multiplication(strong_iteration(esk2_0),zero)) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_24]),c_0_37])]) ).
cnf(c_0_113,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_57,c_0_49]) ).
cnf(c_0_114,plain,
( ~ leq(addition(X1,X2),X2)
| addition(X1,X2) = X2 ),
inference(spm,[status(thm)],[c_0_106,c_0_30]) ).
cnf(c_0_115,negated_conjecture,
addition(esk1_0,addition(esk2_0,strong_iteration(addition(esk1_0,esk2_0)))) = strong_iteration(addition(esk1_0,esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_107]),c_0_29]),c_0_29]),c_0_96]) ).
cnf(c_0_116,plain,
leq(star(strong_iteration(X1)),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_108,c_0_109]),c_0_110]),c_0_110]),c_0_70])]) ).
cnf(c_0_117,plain,
addition(X1,star(X1)) = star(X1),
inference(spm,[status(thm)],[c_0_27,c_0_111]) ).
cnf(c_0_118,negated_conjecture,
( multiplication(strong_iteration(esk2_0),zero) = zero
| addition(multiplication(strong_iteration(esk1_0),zero),multiplication(strong_iteration(esk2_0),zero)) = zero ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_112]),c_0_74]) ).
cnf(c_0_119,plain,
leq(X1,multiplication(strong_iteration(X2),X1)),
inference(spm,[status(thm)],[c_0_89,c_0_45]) ).
cnf(c_0_120,plain,
( ~ leq(X2,X1)
| addition(X1,X2) = X1 ),
inference(spm,[status(thm)],[c_0_27,c_0_24]) ).
cnf(c_0_121,plain,
leq(multiplication(star(addition(X1,X2)),X1),star(addition(X1,X2))),
inference(spm,[status(thm)],[c_0_91,c_0_113]) ).
cnf(c_0_122,negated_conjecture,
addition(esk2_0,strong_iteration(addition(esk1_0,esk2_0))) = strong_iteration(addition(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_45])]) ).
cnf(c_0_123,plain,
star(strong_iteration(X1)) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_116]),c_0_24]),c_0_117]) ).
cnf(c_0_124,negated_conjecture,
multiplication(strong_iteration(esk2_0),zero) = zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_118]),c_0_119])]) ).
cnf(c_0_125,plain,
( ~ leq(addition(X1,X2),X1)
| addition(X1,X2) = X1 ),
inference(spm,[status(thm)],[c_0_120,c_0_34]) ).
cnf(c_0_126,negated_conjecture,
leq(multiplication(strong_iteration(addition(esk1_0,esk2_0)),esk2_0),strong_iteration(addition(esk1_0,esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]),c_0_123]) ).
cnf(c_0_127,negated_conjecture,
( ~ leq(X1,addition(multiplication(esk1_0,X1),multiplication(esk2_0,X1)))
| leq(X1,zero)
| multiplication(strong_iteration(esk1_0),zero) = zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_124]),c_0_74]) ).
cnf(c_0_128,plain,
( ~ leq(X1,zero)
| X1 = zero ),
inference(spm,[status(thm)],[c_0_125,c_0_93]) ).
cnf(c_0_129,plain,
( ~ leq(addition(X1,multiplication(X3,X2)),X3)
| leq(multiplication(X1,star(X2)),X3) ),
inference(spm,[status(thm)],[c_0_97,c_0_24]) ).
cnf(c_0_130,negated_conjecture,
addition(strong_iteration(addition(esk1_0,esk2_0)),multiplication(strong_iteration(addition(esk1_0,esk2_0)),esk2_0)) = strong_iteration(addition(esk1_0,esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_126]),c_0_24]) ).
cnf(c_0_131,negated_conjecture,
star(esk2_0) = strong_iteration(esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_124]),c_0_93]) ).
cnf(c_0_132,negated_conjecture,
addition(multiplication(esk1_0,multiplication(esk2_0,X1)),multiplication(esk2_0,multiplication(strong_iteration(addition(esk1_0,esk2_0)),X1))) = multiplication(esk2_0,multiplication(strong_iteration(addition(esk1_0,esk2_0)),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_32]),c_0_79]),c_0_79]),c_0_79]) ).
cnf(c_0_133,negated_conjecture,
multiplication(strong_iteration(esk1_0),zero) = zero,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_105]),c_0_37])]),c_0_128]) ).
cnf(c_0_134,negated_conjecture,
leq(multiplication(strong_iteration(addition(esk1_0,esk2_0)),strong_iteration(esk2_0)),strong_iteration(addition(esk1_0,esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]),c_0_70])]) ).
cnf(c_0_135,negated_conjecture,
addition(multiplication(esk2_0,strong_iteration(addition(esk1_0,esk2_0))),multiplication(esk1_0,multiplication(esk2_0,strong_iteration(addition(esk1_0,esk2_0))))) = multiplication(esk2_0,strong_iteration(addition(esk1_0,esk2_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_109]),c_0_24]) ).
cnf(c_0_136,negated_conjecture,
star(esk1_0) = strong_iteration(esk1_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_133]),c_0_93]) ).
cnf(c_0_137,negated_conjecture,
multiplication(strong_iteration(addition(esk1_0,esk2_0)),strong_iteration(esk2_0)) = strong_iteration(addition(esk1_0,esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_134]),c_0_24]),c_0_64]) ).
cnf(c_0_138,negated_conjecture,
leq(multiplication(strong_iteration(esk1_0),multiplication(esk2_0,strong_iteration(addition(esk1_0,esk2_0)))),multiplication(esk2_0,strong_iteration(addition(esk1_0,esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_135]),c_0_136]),c_0_70])]) ).
cnf(c_0_139,plain,
addition(X1,multiplication(strong_iteration(X2),X1)) = multiplication(strong_iteration(X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_50]),c_0_72]) ).
cnf(c_0_140,plain,
( ~ leq(addition(X3,addition(multiplication(X1,X4),X2)),X4)
| leq(addition(multiplication(star(X1),X2),multiplication(star(X1),X3)),X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_77]),c_0_49]) ).
cnf(c_0_141,negated_conjecture,
addition(strong_iteration(esk2_0),addition(multiplication(esk1_0,strong_iteration(addition(esk1_0,esk2_0))),multiplication(esk2_0,strong_iteration(addition(esk1_0,esk2_0))))) = strong_iteration(addition(esk1_0,esk2_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_137]),c_0_53]) ).
cnf(c_0_142,negated_conjecture,
multiplication(strong_iteration(esk1_0),multiplication(esk2_0,strong_iteration(addition(esk1_0,esk2_0)))) = multiplication(esk2_0,strong_iteration(addition(esk1_0,esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_138]),c_0_24]),c_0_139]) ).
cnf(c_0_143,negated_conjecture,
( addition(multiplication(strong_iteration(esk2_0),zero),multiplication(strong_iteration(esk1_0),zero)) != zero
| multiplication(strong_iteration(addition(esk2_0,esk1_0)),zero) != zero ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_144,plain,
( ~ leq(X1,addition(X4,addition(multiplication(X2,X1),X3)))
| leq(X1,addition(multiplication(strong_iteration(X2),X3),multiplication(strong_iteration(X2),X4))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_77]),c_0_49]) ).
cnf(c_0_145,negated_conjecture,
leq(addition(multiplication(strong_iteration(esk1_0),strong_iteration(esk2_0)),multiplication(esk2_0,strong_iteration(addition(esk1_0,esk2_0)))),strong_iteration(addition(esk1_0,esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_136]),c_0_142]),c_0_136]),c_0_24]),c_0_70])]) ).
cnf(c_0_146,negated_conjecture,
( multiplication(strong_iteration(addition(esk1_0,esk2_0)),zero) != zero
| addition(multiplication(strong_iteration(esk1_0),zero),multiplication(strong_iteration(esk2_0),zero)) != zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_24]),c_0_24]) ).
cnf(c_0_147,plain,
( ~ leq(X1,addition(X3,multiplication(X2,X1)))
| leq(X1,multiplication(strong_iteration(X2),X3)) ),
inference(spm,[status(thm)],[c_0_89,c_0_24]) ).
cnf(c_0_148,negated_conjecture,
leq(strong_iteration(addition(esk1_0,esk2_0)),addition(multiplication(strong_iteration(esk1_0),strong_iteration(esk2_0)),multiplication(esk2_0,strong_iteration(addition(esk1_0,esk2_0))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_141]),c_0_142]),c_0_24]),c_0_70])]) ).
cnf(c_0_149,negated_conjecture,
leq(multiplication(strong_iteration(esk2_0),multiplication(strong_iteration(esk1_0),strong_iteration(esk2_0))),strong_iteration(addition(esk1_0,esk2_0))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_145]),c_0_131]) ).
cnf(c_0_150,negated_conjecture,
( multiplication(strong_iteration(esk1_0),zero) != zero
| multiplication(strong_iteration(addition(esk1_0,esk2_0)),zero) != zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_124]),c_0_74]) ).
cnf(c_0_151,negated_conjecture,
leq(strong_iteration(addition(esk1_0,esk2_0)),multiplication(strong_iteration(esk2_0),multiplication(strong_iteration(esk1_0),strong_iteration(esk2_0)))),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_152,negated_conjecture,
addition(multiplication(strong_iteration(esk2_0),multiplication(strong_iteration(esk1_0),strong_iteration(esk2_0))),strong_iteration(addition(esk1_0,esk2_0))) = strong_iteration(addition(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_27,c_0_149]) ).
cnf(c_0_153,negated_conjecture,
multiplication(strong_iteration(addition(esk1_0,esk2_0)),zero) != zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_133])]) ).
cnf(c_0_154,negated_conjecture,
strong_iteration(addition(esk1_0,esk2_0)) = multiplication(strong_iteration(esk2_0),multiplication(strong_iteration(esk1_0),strong_iteration(esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_151]),c_0_24]),c_0_152]) ).
cnf(c_0_155,negated_conjecture,
$false,
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)],[c_0_153,c_0_154]),c_0_79]),c_0_79]),c_0_124]),c_0_133]),c_0_124])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KLE166+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/30.52 % Computer : n012
% 0.06/30.52 % Model : x86_64 x86_64
% 0.06/30.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/30.52 % Memory : 8046.5625MB
% 0.06/30.52 % OS : Linux 6.8.0-71-generic
% 0.06/30.52 % CPULimit : 300
% 0.06/30.52 % WCLimit : 300
% 0.06/30.52 % DateTime : Sun Sep 20 22:48:53 UTC 2026
% 0.06/30.52 % CPUTime :
% 0.06/30.52 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/30.54 Running first-order theorem proving
% 0.06/30.54 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.02/35.07 % Version: 3.5.1
% 31.02/35.07 % Preprocessing class: FSMSSMSSSSSNFFN.
% 31.02/35.07 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 31.02/35.07 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 31.02/35.07 % Starting new_bool_3 with 300s (1) cores
% 31.02/35.07 % Starting new_bool_1 with 300s (1) cores
% 31.02/35.07 % Starting sh5l with 300s (1) cores
% 31.02/35.07 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1027091 completed with status 0
% 31.02/35.07 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 31.02/35.07 % Preprocessing class: FSMSSMSSSSSNFFN.
% 31.02/35.07 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 31.02/35.07 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 31.02/35.07 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 31.02/35.07 % No SInE strategy applied
% 31.02/35.07 % Search class: FGHSM-FFMF21-MFFFFFNN
% 31.02/35.07 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 31.02/35.07 % Starting SubtermCWHack with 136s (1) cores
% 31.02/35.07 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 31.02/35.07 % Starting U----_210g_02_B07_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 31.02/35.07 % Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S00EN with 136s (1) cores
% 31.02/35.07 % Starting new_bool_3 with 136s (1) cores
% 31.02/35.07 % G-E--_208_B00_00_F1_SE_CS_SP_PS_S00EN with pid 1027099 completed with status 0
% 31.02/35.07 % Result found by G-E--_208_B00_00_F1_SE_CS_SP_PS_S00EN
% 31.02/35.07 % Preprocessing class: FSMSSMSSSSSNFFN.
% 31.02/35.07 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 31.02/35.07 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 31.02/35.07 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 31.02/35.07 % No SInE strategy applied
% 31.02/35.07 % Search class: FGHSM-FFMF21-MFFFFFNN
% 31.02/35.07 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 31.02/35.07 % Starting SubtermCWHack with 136s (1) cores
% 31.02/35.07 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 31.02/35.07 % Starting U----_210g_02_B07_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 31.02/35.07 % Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S00EN with 136s (1) cores
% 31.02/35.07 % Preprocessing time : 0.001 s
% 31.02/35.07 % Presaturation interreduction done
% 31.02/35.07
% 31.02/35.07 % Proof found!
% 31.02/35.07 % SZS status Theorem
% 31.02/35.07 % SZS output start CNFRefutation
% See solution above
% 31.02/35.07 % Parsed axioms : 19
% 31.02/35.07 % Removed by relevancy pruning/SinE : 0
% 31.02/35.07 % Initial clauses : 22
% 31.02/35.07 % Removed in clause preprocessing : 0
% 31.02/35.07 % Initial clauses in saturation : 22
% 31.02/35.07 % Processed clauses : 17222
% 31.02/35.07 % ...of these trivial : 2688
% 31.02/35.07 % ...subsumed : 11653
% 31.02/35.07 % ...remaining for further processing : 2881
% 31.02/35.07 % Other redundant clauses eliminated : 331
% 31.02/35.07 % Clauses deleted for lack of memory : 0
% 31.02/35.07 % Backward-subsumed : 55
% 31.02/35.07 % Backward-rewritten : 1076
% 31.02/35.07 % Generated clauses : 341717
% 31.02/35.07 % ...of the previous two non-redundant : 236618
% 31.02/35.07 % ...aggressively subsumed : 0
% 31.02/35.07 % Contextual simplify-reflections : 1
% 31.02/35.07 % Paramodulations : 341384
% 31.02/35.07 % Factorizations : 0
% 31.02/35.07 % NegExts : 0
% 31.02/35.07 % Equation resolutions : 333
% 31.02/35.07 % Disequality decompositions : 0
% 31.02/35.07 % Total rewrite steps : 1088111
% 31.02/35.07 % ...of those cached : 1007492
% 31.02/35.07 % Propositional unsat checks : 0
% 31.02/35.07 % Propositional check models : 0
% 31.02/35.07 % Propositional check unsatisfiable : 0
% 31.02/35.07 % Propositional clauses : 0
% 31.02/35.07 % Propositional clauses after purity: 0
% 31.02/35.07 % Propositional unsat core size : 0
% 31.02/35.07 % Propositional preprocessing time : 0.000
% 31.02/35.07 % Propositional encoding time : 0.000
% 31.02/35.07 % Propositional solver time : 0.000
% 31.02/35.07 % Success case prop preproc time : 0.000
% 31.02/35.07 % Success case prop encoding time : 0.000
% 31.02/35.07 % Success case prop solver time : 0.000
% 31.02/35.07 % Current number of processed clauses : 1726
% 31.02/35.07 % Positive orientable unit clauses : 1066
% 31.02/35.07 % Positive unorientable unit clauses: 11
% 31.02/35.07 % Negative unit clauses : 0
% 31.02/35.07 % Non-unit-clauses : 649
% 31.02/35.07 % Current number of unprocessed clauses: 217769
% 31.02/35.07 % ...number of literals in the above : 354569
% 31.02/35.07 % Current number of archived formulas : 0
% 31.02/35.07 % Current number of archived clauses : 1153
% 31.02/35.07 % Clause-clause subsumption calls (NU) : 138009
% 31.02/35.07 % Rec. Clause-clause subsumption calls : 135672
% 31.02/35.07 % Non-unit clause-clause subsumptions : 11176
% 31.02/35.07 % Unit Clause-clause subsumption calls : 10603
% 31.02/35.07 % Rewrite failures with RHS unbound : 0
% 31.02/35.07 % BW rewrite match attempts : 10919
% 31.02/35.07 % BW rewrite match successes : 930
% 31.02/35.07 % Condensation attempts : 0
% 31.02/35.07 % Condensation successes : 0
% 31.02/35.07 % Termbank termtop insertions : 7779652
% 31.02/35.07 % Search garbage collected termcells : 121
% 31.02/35.07
% 31.02/35.07 % -------------------------------------------------
% 31.02/35.07 % User time : 4.271 s
% 31.02/35.07 % System time : 0.132 s
% 31.02/35.07 % Total time : 4.404 s
% 31.02/35.07 % Maximum resident set size: 3652 pages
% 31.02/35.07
% 31.02/35.07 % -------------------------------------------------
% 31.02/35.07 % User time : 21.227 s
% 31.02/35.07 % System time : 0.848 s
% 31.02/35.07 % Total time : 22.075 s
% 31.02/35.07 % Maximum resident set size: 4864 pages
% 31.02/35.07 % E exiting
%------------------------------------------------------------------------------