TSTP Solution File: KLE147+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : KLE147+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:04:29 EDT 2023
% Result : Theorem 136.96s 17.89s
% Output : CNFRefutation 136.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 18
% Syntax : Number of formulae : 172 ( 148 unt; 0 def)
% Number of atoms : 198 ( 126 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 24 ~; 21 |; 1 &)
% ( 1 <=>; 3 =>; 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 : 303 ( 20 sgn; 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.FwxF0roali/E---3.1_20905.p',additive_associativity) ).
fof(idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.FwxF0roali/E---3.1_20905.p',idempotence) ).
fof(order,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/export/starexec/sandbox/tmp/tmp.FwxF0roali/E---3.1_20905.p',order) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.FwxF0roali/E---3.1_20905.p',additive_commutativity) ).
fof(star_unfold2,axiom,
! [X1] : addition(one,multiplication(star(X1),X1)) = star(X1),
file('/export/starexec/sandbox/tmp/tmp.FwxF0roali/E---3.1_20905.p',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/tmp/tmp.FwxF0roali/E---3.1_20905.p',star_induction2) ).
fof(distributivity2,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.FwxF0roali/E---3.1_20905.p',distributivity2) ).
fof(distributivity1,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox/tmp/tmp.FwxF0roali/E---3.1_20905.p',distributivity1) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox/tmp/tmp.FwxF0roali/E---3.1_20905.p',multiplicative_right_identity) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.FwxF0roali/E---3.1_20905.p',multiplicative_left_identity) ).
fof(star_unfold1,axiom,
! [X1] : addition(one,multiplication(X1,star(X1))) = star(X1),
file('/export/starexec/sandbox/tmp/tmp.FwxF0roali/E---3.1_20905.p',star_unfold1) ).
fof(star_induction1,axiom,
! [X1,X2,X3] :
( leq(addition(multiplication(X1,X3),X2),X3)
=> leq(multiplication(star(X1),X2),X3) ),
file('/export/starexec/sandbox/tmp/tmp.FwxF0roali/E---3.1_20905.p',star_induction1) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.FwxF0roali/E---3.1_20905.p',multiplicative_associativity) ).
fof(infty_unfold1,axiom,
! [X1] : strong_iteration(X1) = addition(multiplication(X1,strong_iteration(X1)),one),
file('/export/starexec/sandbox/tmp/tmp.FwxF0roali/E---3.1_20905.p',infty_unfold1) ).
fof(isolation,axiom,
! [X1] : strong_iteration(X1) = addition(star(X1),multiplication(strong_iteration(X1),zero)),
file('/export/starexec/sandbox/tmp/tmp.FwxF0roali/E---3.1_20905.p',isolation) ).
fof(left_annihilation,axiom,
! [X1] : multiplication(zero,X1) = zero,
file('/export/starexec/sandbox/tmp/tmp.FwxF0roali/E---3.1_20905.p',left_annihilation) ).
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/tmp/tmp.FwxF0roali/E---3.1_20905.p',infty_coinduction) ).
fof(goals,conjecture,
! [X4,X5] : strong_iteration(multiplication(star(X4),X5)) = multiplication(star(X5),strong_iteration(multiplication(star(X4),X5))),
file('/export/starexec/sandbox/tmp/tmp.FwxF0roali/E---3.1_20905.p',goals) ).
fof(c_0_18,plain,
! [X8,X9,X10] : addition(X10,addition(X9,X8)) = addition(addition(X10,X9),X8),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_19,plain,
! [X12] : addition(X12,X12) = X12,
inference(variable_rename,[status(thm)],[idempotence]) ).
fof(c_0_20,plain,
! [X38,X39] :
( ( ~ leq(X38,X39)
| addition(X38,X39) = X39 )
& ( addition(X38,X39) != X39
| leq(X38,X39) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])]) ).
cnf(c_0_21,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_25,plain,
! [X6,X7] : addition(X6,X7) = addition(X7,X6),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
cnf(c_0_26,plain,
leq(X1,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_28,plain,
! [X26] : addition(one,multiplication(star(X26),X26)) = star(X26),
inference(variable_rename,[status(thm)],[star_unfold2]) ).
fof(c_0_29,plain,
! [X30,X31,X32] :
( ~ leq(addition(multiplication(X32,X30),X31),X32)
| leq(multiplication(X31,star(X30)),X32) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction2])]) ).
cnf(c_0_30,plain,
leq(X1,addition(X2,X1)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,plain,
addition(one,multiplication(star(X1),X1)) = star(X1),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( leq(multiplication(X3,star(X2)),X1)
| ~ leq(addition(multiplication(X1,X2),X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_34,plain,
leq(multiplication(star(X1),X1),star(X1)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_35,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_36,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_37,plain,
! [X16] : multiplication(X16,one) = X16,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
cnf(c_0_38,plain,
( leq(multiplication(X1,star(X2)),X3)
| ~ leq(addition(X1,multiplication(X3,X2)),X3) ),
inference(spm,[status(thm)],[c_0_32,c_0_27]) ).
cnf(c_0_39,plain,
addition(star(X1),multiplication(star(X1),X1)) = star(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_27]) ).
cnf(c_0_40,plain,
leq(X1,X1),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_41,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_42,plain,
! [X17] : multiplication(one,X17) = X17,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_43,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
leq(multiplication(star(X1),star(X1)),star(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
cnf(c_0_46,plain,
( leq(multiplication(X1,X2),multiplication(X3,X2))
| multiplication(addition(X1,X3),X2) != multiplication(X3,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_41]) ).
cnf(c_0_47,plain,
addition(one,star(X1)) = star(X1),
inference(spm,[status(thm)],[c_0_24,c_0_31]) ).
cnf(c_0_48,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_27]) ).
fof(c_0_50,plain,
! [X25] : addition(one,multiplication(X25,star(X25))) = star(X25),
inference(variable_rename,[status(thm)],[star_unfold1]) ).
cnf(c_0_51,plain,
addition(star(X1),multiplication(star(X1),star(X1))) = star(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_45]),c_0_27]) ).
cnf(c_0_52,plain,
addition(multiplication(X1,X2),addition(multiplication(X1,X3),X4)) = addition(multiplication(X1,addition(X2,X3)),X4),
inference(spm,[status(thm)],[c_0_21,c_0_43]) ).
cnf(c_0_53,plain,
leq(X1,multiplication(star(X2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_54,plain,
multiplication(star(X1),addition(X1,one)) = star(X1),
inference(rw,[status(thm)],[c_0_39,c_0_49]) ).
fof(c_0_55,plain,
! [X27,X28,X29] :
( ~ leq(addition(multiplication(X27,X29),X28),X29)
| leq(multiplication(star(X27),X28),X29) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction1])]) ).
fof(c_0_56,plain,
! [X13,X14,X15] : multiplication(X13,multiplication(X14,X15)) = multiplication(multiplication(X13,X14),X15),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_57,plain,
addition(one,multiplication(X1,star(X1))) = star(X1),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,plain,
leq(multiplication(star(X1),star(star(X1))),star(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_51]),c_0_40])]) ).
fof(c_0_59,plain,
! [X33] : strong_iteration(X33) = addition(multiplication(X33,strong_iteration(X33)),one),
inference(variable_rename,[status(thm)],[infty_unfold1]) ).
cnf(c_0_60,plain,
( leq(multiplication(X1,X2),addition(multiplication(X1,X3),X4))
| addition(multiplication(X1,addition(X2,X3)),X4) != addition(multiplication(X1,X3),X4) ),
inference(spm,[status(thm)],[c_0_23,c_0_52]) ).
cnf(c_0_61,plain,
leq(addition(X1,one),star(X1)),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,plain,
( leq(multiplication(star(X1),X3),X2)
| ~ leq(addition(multiplication(X1,X2),X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_63,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_64,plain,
leq(multiplication(X1,star(X1)),star(X1)),
inference(spm,[status(thm)],[c_0_30,c_0_57]) ).
cnf(c_0_65,plain,
addition(star(X1),multiplication(star(X1),star(star(X1)))) = star(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_58]),c_0_27]) ).
cnf(c_0_66,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_48]),c_0_27]) ).
cnf(c_0_67,plain,
strong_iteration(X1) = addition(multiplication(X1,strong_iteration(X1)),one),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_68,plain,
leq(X1,addition(multiplication(X1,star(X2)),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_47]),c_0_44]) ).
cnf(c_0_69,plain,
addition(X1,star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_61]),c_0_21]),c_0_47]) ).
cnf(c_0_70,plain,
( leq(multiplication(star(X1),X2),X3)
| ~ leq(addition(X2,multiplication(X1,X3)),X3) ),
inference(spm,[status(thm)],[c_0_62,c_0_27]) ).
cnf(c_0_71,plain,
addition(one,multiplication(X1,multiplication(X2,star(multiplication(X1,X2))))) = star(multiplication(X1,X2)),
inference(spm,[status(thm)],[c_0_57,c_0_63]) ).
cnf(c_0_72,plain,
addition(star(X1),multiplication(X1,star(X1))) = star(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_64]),c_0_27]) ).
cnf(c_0_73,plain,
multiplication(star(X1),star(star(X1))) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_49]),c_0_27]),c_0_47]) ).
cnf(c_0_74,plain,
multiplication(star(X1),star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_49]),c_0_27]),c_0_47]) ).
cnf(c_0_75,plain,
multiplication(addition(X1,one),X1) = multiplication(X1,addition(X1,one)),
inference(spm,[status(thm)],[c_0_49,c_0_66]) ).
cnf(c_0_76,plain,
addition(one,multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
inference(rw,[status(thm)],[c_0_67,c_0_27]) ).
cnf(c_0_77,plain,
leq(X1,star(multiplication(X1,star(X2)))),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_78,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_70,c_0_71]),c_0_44]) ).
cnf(c_0_79,plain,
multiplication(addition(X1,one),star(X1)) = star(X1),
inference(rw,[status(thm)],[c_0_72,c_0_66]) ).
cnf(c_0_80,plain,
star(star(X1)) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_73]),c_0_74]),c_0_73]),c_0_47]) ).
cnf(c_0_81,plain,
multiplication(addition(one,X1),X1) = multiplication(X1,addition(one,X1)),
inference(spm,[status(thm)],[c_0_75,c_0_27]) ).
cnf(c_0_82,plain,
multiplication(star(X1),multiplication(star(X1),X2)) = multiplication(star(X1),X2),
inference(spm,[status(thm)],[c_0_63,c_0_74]) ).
cnf(c_0_83,plain,
leq(multiplication(X1,strong_iteration(X1)),strong_iteration(X1)),
inference(spm,[status(thm)],[c_0_30,c_0_76]) ).
cnf(c_0_84,plain,
multiplication(star(X1),addition(X1,addition(one,X2))) = multiplication(star(X1),addition(X2,one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_54]),c_0_49]),c_0_21]) ).
cnf(c_0_85,plain,
addition(X1,star(multiplication(X1,star(X2)))) = star(multiplication(X1,star(X2))),
inference(spm,[status(thm)],[c_0_33,c_0_77]) ).
cnf(c_0_86,plain,
leq(star(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_74]),c_0_80]),c_0_80]),c_0_74]),c_0_40])]) ).
cnf(c_0_87,plain,
multiplication(star(X1),multiplication(X1,star(X1))) = multiplication(star(X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_31]),c_0_82]),c_0_63]) ).
cnf(c_0_88,plain,
addition(one,addition(multiplication(star(X1),X1),X2)) = addition(star(X1),X2),
inference(spm,[status(thm)],[c_0_21,c_0_31]) ).
fof(c_0_89,plain,
! [X37] : strong_iteration(X37) = addition(star(X37),multiplication(strong_iteration(X37),zero)),
inference(variable_rename,[status(thm)],[isolation]) ).
fof(c_0_90,plain,
! [X24] : multiplication(zero,X24) = zero,
inference(variable_rename,[status(thm)],[left_annihilation]) ).
fof(c_0_91,plain,
! [X34,X35,X36] :
( ~ leq(X36,addition(multiplication(X34,X36),X35))
| leq(X36,multiplication(strong_iteration(X34),X35)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[infty_coinduction])]) ).
cnf(c_0_92,plain,
addition(strong_iteration(X1),multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_83]),c_0_27]) ).
cnf(c_0_93,plain,
( leq(multiplication(star(X1),multiplication(X2,X3)),X3)
| ~ leq(multiplication(addition(X1,X2),X3),X3) ),
inference(spm,[status(thm)],[c_0_62,c_0_41]) ).
cnf(c_0_94,plain,
multiplication(star(X1),addition(X1,star(X2))) = multiplication(star(X1),star(X2)),
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_84,c_0_85]),c_0_48]),c_0_80]),c_0_48]),c_0_80]),c_0_27]),c_0_47]) ).
cnf(c_0_95,plain,
addition(star(X1),star(addition(X1,one))) = star(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_86]),c_0_27]) ).
cnf(c_0_96,plain,
multiplication(star(X1),X1) = multiplication(X1,star(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_57]),c_0_63]),c_0_74]),c_0_87]) ).
cnf(c_0_97,plain,
addition(one,multiplication(addition(star(X1),X2),X1)) = addition(star(X1),multiplication(X2,X1)),
inference(spm,[status(thm)],[c_0_88,c_0_41]) ).
cnf(c_0_98,plain,
strong_iteration(X1) = addition(star(X1),multiplication(strong_iteration(X1),zero)),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_99,plain,
multiplication(zero,X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_100,plain,
( leq(X1,multiplication(strong_iteration(X2),X3))
| ~ leq(X1,addition(multiplication(X2,X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_101,plain,
multiplication(addition(X1,one),strong_iteration(X1)) = strong_iteration(X1),
inference(rw,[status(thm)],[c_0_92,c_0_66]) ).
cnf(c_0_102,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_27,c_0_21]) ).
cnf(c_0_103,plain,
leq(multiplication(star(X1),multiplication(X2,star(addition(X1,X2)))),star(addition(X1,X2))),
inference(spm,[status(thm)],[c_0_93,c_0_64]) ).
cnf(c_0_104,plain,
multiplication(star(X1),star(addition(X1,one))) = star(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]),c_0_80]),c_0_74]),c_0_80]) ).
cnf(c_0_105,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_24,c_0_27]) ).
cnf(c_0_106,plain,
addition(one,multiplication(strong_iteration(X1),X1)) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_63]),c_0_99]),c_0_98]) ).
cnf(c_0_107,plain,
( leq(X1,multiplication(strong_iteration(X2),X3))
| ~ leq(X1,addition(X3,multiplication(X2,X1))) ),
inference(spm,[status(thm)],[c_0_100,c_0_27]) ).
cnf(c_0_108,plain,
addition(one,multiplication(X1,multiplication(X2,strong_iteration(multiplication(X1,X2))))) = strong_iteration(multiplication(X1,X2)),
inference(spm,[status(thm)],[c_0_76,c_0_63]) ).
cnf(c_0_109,plain,
multiplication(addition(one,X1),strong_iteration(X1)) = strong_iteration(X1),
inference(spm,[status(thm)],[c_0_101,c_0_27]) ).
cnf(c_0_110,plain,
addition(one,strong_iteration(X1)) = strong_iteration(X1),
inference(spm,[status(thm)],[c_0_24,c_0_76]) ).
cnf(c_0_111,plain,
( leq(X1,addition(X2,X3))
| addition(X3,addition(X1,X2)) != addition(X2,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_102]) ).
cnf(c_0_112,plain,
addition(X1,X2) = addition(X2,X1),
c_0_27 ).
cnf(c_0_113,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
c_0_21 ).
cnf(c_0_114,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
c_0_63 ).
cnf(c_0_115,plain,
leq(star(X1),star(addition(X1,one))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_48]),c_0_104]) ).
cnf(c_0_116,plain,
addition(one,addition(multiplication(X1,strong_iteration(X1)),X2)) = addition(strong_iteration(X1),X2),
inference(spm,[status(thm)],[c_0_21,c_0_76]) ).
cnf(c_0_117,plain,
( leq(multiplication(X1,multiplication(X2,star(X3))),X1)
| ~ leq(multiplication(X1,addition(X3,X2)),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_43]),c_0_63]) ).
cnf(c_0_118,plain,
multiplication(strong_iteration(X1),addition(X1,one)) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_27]),c_0_49]) ).
cnf(c_0_119,plain,
( leq(multiplication(X1,strong_iteration(multiplication(X2,X1))),strong_iteration(X2))
| ~ leq(multiplication(X1,strong_iteration(multiplication(X2,X1))),strong_iteration(multiplication(X2,X1))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_44]) ).
cnf(c_0_120,plain,
multiplication(strong_iteration(X1),strong_iteration(multiplication(X1,strong_iteration(X1)))) = strong_iteration(multiplication(X1,strong_iteration(X1))),
inference(spm,[status(thm)],[c_0_109,c_0_76]) ).
cnf(c_0_121,plain,
addition(X1,strong_iteration(X1)) = strong_iteration(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_49,c_0_101]),c_0_21]),c_0_110]),c_0_27]),c_0_110]),c_0_101]) ).
cnf(c_0_122,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_70,c_0_92]),c_0_40])]) ).
cnf(c_0_123,plain,
leq(X1,addition(star(X1),X2)),
inference(ar,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_69]),c_0_112,c_0_113,c_0_114]) ).
cnf(c_0_124,plain,
star(addition(X1,one)) = star(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_115]),c_0_95]) ).
cnf(c_0_125,plain,
addition(multiplication(X1,X2),addition(multiplication(X3,X2),X4)) = addition(multiplication(addition(X1,X3),X2),X4),
inference(spm,[status(thm)],[c_0_21,c_0_41]) ).
cnf(c_0_126,plain,
addition(one,multiplication(addition(X1,X2),strong_iteration(X1))) = multiplication(addition(X2,one),strong_iteration(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_41]),c_0_66]) ).
cnf(c_0_127,plain,
leq(X1,multiplication(addition(X2,one),X1)),
inference(spm,[status(thm)],[c_0_26,c_0_66]) ).
cnf(c_0_128,plain,
leq(multiplication(strong_iteration(X1),star(X1)),strong_iteration(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_48]),c_0_40])]) ).
cnf(c_0_129,plain,
leq(strong_iteration(multiplication(X1,strong_iteration(X1))),strong_iteration(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_40])]) ).
cnf(c_0_130,plain,
addition(strong_iteration(X1),strong_iteration(multiplication(X1,strong_iteration(X1)))) = strong_iteration(multiplication(X1,strong_iteration(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_121]),c_0_110]) ).
cnf(c_0_131,plain,
multiplication(addition(one,X1),star(X1)) = star(X1),
inference(spm,[status(thm)],[c_0_79,c_0_27]) ).
cnf(c_0_132,plain,
addition(strong_iteration(X1),multiplication(star(X1),strong_iteration(X1))) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_122]),c_0_27]) ).
cnf(c_0_133,plain,
leq(X1,multiplication(strong_iteration(X2),star(X1))),
inference(spm,[status(thm)],[c_0_107,c_0_123]) ).
cnf(c_0_134,plain,
star(addition(one,X1)) = star(X1),
inference(spm,[status(thm)],[c_0_124,c_0_27]) ).
cnf(c_0_135,plain,
( leq(multiplication(X1,X2),addition(multiplication(X3,X2),X4))
| addition(multiplication(addition(X1,X3),X2),X4) != addition(multiplication(X3,X2),X4) ),
inference(spm,[status(thm)],[c_0_23,c_0_125]) ).
cnf(c_0_136,plain,
leq(strong_iteration(X1),strong_iteration(addition(X1,X2))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_126]),c_0_44]),c_0_127])]) ).
cnf(c_0_137,plain,
leq(X1,addition(multiplication(X1,strong_iteration(X2)),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_110]),c_0_44]) ).
cnf(c_0_138,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(spm,[status(thm)],[c_0_33,c_0_128]),c_0_27]),c_0_49]),c_0_27]),c_0_47]) ).
cnf(c_0_139,plain,
strong_iteration(multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_129]),c_0_27]),c_0_130]) ).
cnf(c_0_140,plain,
multiplication(strong_iteration(X1),star(multiplication(X1,strong_iteration(X1)))) = star(multiplication(X1,strong_iteration(X1))),
inference(spm,[status(thm)],[c_0_131,c_0_76]) ).
cnf(c_0_141,plain,
leq(multiplication(star(star(X1)),strong_iteration(X1)),strong_iteration(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_132]),c_0_40])]) ).
cnf(c_0_142,plain,
addition(X1,multiplication(strong_iteration(X2),star(X1))) = multiplication(strong_iteration(X2),star(X1)),
inference(spm,[status(thm)],[c_0_33,c_0_133]) ).
cnf(c_0_143,plain,
star(multiplication(X1,star(X1))) = star(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_57]),c_0_80]) ).
cnf(c_0_144,plain,
leq(X1,addition(multiplication(strong_iteration(X2),X1),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_110]),c_0_48]) ).
cnf(c_0_145,plain,
leq(strong_iteration(X1),strong_iteration(multiplication(addition(X2,one),X1))),
inference(spm,[status(thm)],[c_0_136,c_0_66]) ).
cnf(c_0_146,plain,
leq(X1,star(multiplication(X1,strong_iteration(X2)))),
inference(spm,[status(thm)],[c_0_137,c_0_69]) ).
cnf(c_0_147,plain,
star(multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]) ).
cnf(c_0_148,plain,
addition(strong_iteration(X1),multiplication(star(star(X1)),strong_iteration(X1))) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_141]),c_0_27]) ).
cnf(c_0_149,plain,
multiplication(addition(X1,strong_iteration(X2)),star(X1)) = multiplication(strong_iteration(X2),star(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_41]) ).
cnf(c_0_150,plain,
leq(X1,star(multiplication(strong_iteration(X2),X1))),
inference(spm,[status(thm)],[c_0_144,c_0_69]) ).
cnf(c_0_151,plain,
leq(strong_iteration(X1),strong_iteration(multiplication(addition(one,X2),X1))),
inference(spm,[status(thm)],[c_0_145,c_0_27]) ).
cnf(c_0_152,plain,
addition(X1,star(multiplication(X1,strong_iteration(X2)))) = star(multiplication(X1,strong_iteration(X2))),
inference(spm,[status(thm)],[c_0_33,c_0_146]) ).
cnf(c_0_153,plain,
star(strong_iteration(X1)) = strong_iteration(X1),
inference(spm,[status(thm)],[c_0_80,c_0_147]) ).
cnf(c_0_154,plain,
multiplication(star(X1),strong_iteration(X1)) = strong_iteration(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_66]),c_0_27]),c_0_47]),c_0_80]) ).
cnf(c_0_155,plain,
multiplication(addition(strong_iteration(X1),X2),star(X2)) = multiplication(strong_iteration(X1),star(X2)),
inference(spm,[status(thm)],[c_0_149,c_0_27]) ).
cnf(c_0_156,plain,
addition(X1,star(multiplication(strong_iteration(X2),X1))) = star(multiplication(strong_iteration(X2),X1)),
inference(spm,[status(thm)],[c_0_33,c_0_150]) ).
cnf(c_0_157,plain,
multiplication(star(X1),addition(one,X1)) = star(X1),
inference(spm,[status(thm)],[c_0_54,c_0_27]) ).
cnf(c_0_158,plain,
leq(strong_iteration(X1),strong_iteration(multiplication(star(X2),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_85]),c_0_48]),c_0_80]) ).
cnf(c_0_159,plain,
multiplication(star(X1),addition(X1,strong_iteration(X2))) = multiplication(star(X1),strong_iteration(X2)),
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_84,c_0_152]),c_0_48]),c_0_153]),c_0_48]),c_0_153]),c_0_27]),c_0_110]) ).
fof(c_0_160,negated_conjecture,
~ ! [X4,X5] : strong_iteration(multiplication(star(X4),X5)) = multiplication(star(X5),strong_iteration(multiplication(star(X4),X5))),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_161,plain,
multiplication(star(X1),multiplication(strong_iteration(X1),X2)) = multiplication(strong_iteration(X1),X2),
inference(spm,[status(thm)],[c_0_63,c_0_154]) ).
cnf(c_0_162,plain,
multiplication(strong_iteration(X1),star(multiplication(strong_iteration(X2),strong_iteration(X1)))) = star(multiplication(strong_iteration(X2),strong_iteration(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_80]),c_0_74]),c_0_80]) ).
cnf(c_0_163,plain,
multiplication(star(addition(X1,X2)),addition(X2,addition(one,X1))) = star(addition(X1,X2)),
inference(spm,[status(thm)],[c_0_157,c_0_102]) ).
cnf(c_0_164,plain,
addition(strong_iteration(X1),strong_iteration(multiplication(star(X2),X1))) = strong_iteration(multiplication(star(X2),X1)),
inference(spm,[status(thm)],[c_0_33,c_0_158]) ).
cnf(c_0_165,plain,
multiplication(strong_iteration(X1),addition(strong_iteration(X1),strong_iteration(X2))) = multiplication(strong_iteration(X1),strong_iteration(X2)),
inference(spm,[status(thm)],[c_0_159,c_0_153]) ).
fof(c_0_166,negated_conjecture,
strong_iteration(multiplication(star(esk1_0),esk2_0)) != multiplication(star(esk2_0),strong_iteration(multiplication(star(esk1_0),esk2_0))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_160])])]) ).
cnf(c_0_167,plain,
multiplication(star(X1),star(multiplication(strong_iteration(X2),strong_iteration(X1)))) = star(multiplication(strong_iteration(X2),strong_iteration(X1))),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_168,plain,
multiplication(strong_iteration(multiplication(star(X1),X2)),strong_iteration(X2)) = strong_iteration(multiplication(star(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_153]),c_0_110]),c_0_165]),c_0_153]) ).
cnf(c_0_169,negated_conjecture,
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_166]) ).
cnf(c_0_170,plain,
multiplication(star(X1),strong_iteration(multiplication(star(X2),X1))) = strong_iteration(multiplication(star(X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_153]),c_0_153]) ).
cnf(c_0_171,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_170])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE147+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Oct 3 04:46:21 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 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/tmp/tmp.FwxF0roali/E---3.1_20905.p
% 136.96/17.89 # Version: 3.1pre001
% 136.96/17.89 # Preprocessing class: FSMSSMSSSSSNFFN.
% 136.96/17.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 136.96/17.89 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 136.96/17.89 # Starting new_bool_3 with 300s (1) cores
% 136.96/17.89 # Starting new_bool_1 with 300s (1) cores
% 136.96/17.89 # Starting sh5l with 300s (1) cores
% 136.96/17.89 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 21007 completed with status 0
% 136.96/17.89 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 136.96/17.89 # Preprocessing class: FSMSSMSSSSSNFFN.
% 136.96/17.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 136.96/17.89 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 136.96/17.89 # No SInE strategy applied
% 136.96/17.89 # Search class: FHUSM-FFSF21-MFFFFFNN
% 136.96/17.89 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 136.96/17.89 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 136.96/17.89 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 136.96/17.89 # Starting G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with 136s (1) cores
% 136.96/17.89 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 136.96/17.89 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2U with 136s (1) cores
% 136.96/17.89 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 21018 completed with status 0
% 136.96/17.89 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 136.96/17.89 # Preprocessing class: FSMSSMSSSSSNFFN.
% 136.96/17.89 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 136.96/17.89 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 136.96/17.89 # No SInE strategy applied
% 136.96/17.89 # Search class: FHUSM-FFSF21-MFFFFFNN
% 136.96/17.89 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 136.96/17.89 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 136.96/17.89 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 136.96/17.89 # Starting G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with 136s (1) cores
% 136.96/17.89 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 136.96/17.89 # Preprocessing time : 0.002 s
% 136.96/17.89 # Presaturation interreduction done
% 136.96/17.89
% 136.96/17.89 # Proof found!
% 136.96/17.89 # SZS status Theorem
% 136.96/17.89 # SZS output start CNFRefutation
% See solution above
% 136.96/17.89 # Parsed axioms : 19
% 136.96/17.89 # Removed by relevancy pruning/SinE : 0
% 136.96/17.89 # Initial clauses : 20
% 136.96/17.89 # Removed in clause preprocessing : 0
% 136.96/17.89 # Initial clauses in saturation : 20
% 136.96/17.89 # Processed clauses : 35203
% 136.96/17.89 # ...of these trivial : 4808
% 136.96/17.89 # ...subsumed : 26614
% 136.96/17.89 # ...remaining for further processing : 3781
% 136.96/17.89 # Other redundant clauses eliminated : 2652
% 136.96/17.89 # Clauses deleted for lack of memory : 0
% 136.96/17.89 # Backward-subsumed : 62
% 136.96/17.89 # Backward-rewritten : 561
% 136.96/17.89 # Generated clauses : 1019906
% 136.96/17.89 # ...of the previous two non-redundant : 651960
% 136.96/17.89 # ...aggressively subsumed : 0
% 136.96/17.89 # Contextual simplify-reflections : 0
% 136.96/17.89 # Paramodulations : 1017251
% 136.96/17.89 # Factorizations : 0
% 136.96/17.89 # NegExts : 0
% 136.96/17.89 # Equation resolutions : 2655
% 136.96/17.89 # Total rewrite steps : 2116121
% 136.96/17.89 # Propositional unsat checks : 0
% 136.96/17.89 # Propositional check models : 0
% 136.96/17.89 # Propositional check unsatisfiable : 0
% 136.96/17.89 # Propositional clauses : 0
% 136.96/17.89 # Propositional clauses after purity: 0
% 136.96/17.89 # Propositional unsat core size : 0
% 136.96/17.89 # Propositional preprocessing time : 0.000
% 136.96/17.89 # Propositional encoding time : 0.000
% 136.96/17.89 # Propositional solver time : 0.000
% 136.96/17.89 # Success case prop preproc time : 0.000
% 136.96/17.89 # Success case prop encoding time : 0.000
% 136.96/17.89 # Success case prop solver time : 0.000
% 136.96/17.89 # Current number of processed clauses : 3133
% 136.96/17.89 # Positive orientable unit clauses : 1493
% 136.96/17.89 # Positive unorientable unit clauses: 24
% 136.96/17.89 # Negative unit clauses : 0
% 136.96/17.89 # Non-unit-clauses : 1616
% 136.96/17.89 # Current number of unprocessed clauses: 611583
% 136.96/17.89 # ...number of literals in the above : 1071371
% 136.96/17.89 # Current number of archived formulas : 0
% 136.96/17.89 # Current number of archived clauses : 643
% 136.96/17.89 # Clause-clause subsumption calls (NU) : 380104
% 136.96/17.89 # Rec. Clause-clause subsumption calls : 379323
% 136.96/17.89 # Non-unit clause-clause subsumptions : 26259
% 136.96/17.89 # Unit Clause-clause subsumption calls : 13362
% 136.96/17.89 # Rewrite failures with RHS unbound : 0
% 136.96/17.89 # BW rewrite match attempts : 21143
% 136.96/17.89 # BW rewrite match successes : 413
% 136.96/17.89 # Condensation attempts : 0
% 136.96/17.89 # Condensation successes : 0
% 136.96/17.89 # Termbank termtop insertions : 17703145
% 136.96/17.89
% 136.96/17.89 # -------------------------------------------------
% 136.96/17.89 # User time : 16.406 s
% 136.96/17.89 # System time : 0.543 s
% 136.96/17.89 # Total time : 16.950 s
% 136.96/17.89 # Maximum resident set size: 1756 pages
% 136.96/17.89
% 136.96/17.89 # -------------------------------------------------
% 136.96/17.89 # User time : 82.635 s
% 136.96/17.89 # System time : 2.801 s
% 136.96/17.89 # Total time : 85.436 s
% 136.96/17.89 # Maximum resident set size: 1696 pages
% 136.96/17.89 % E---3.1 exiting
% 136.96/17.89 % E---3.1 exiting
%------------------------------------------------------------------------------