↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : KLE145+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n015.cluster.edu
% 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 12:58:57 PM UTC 2026

% Result   : Theorem 80.19s 12.12s
% Output   : CNFRefutation 80.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   99 (  76 unt;   0 def)
%            Number of atoms       :  124 (  69 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   48 (  23   ~;  19   |;   3   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :  169 (   6 sgn  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(additive_associativity,axiom,
    ! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',additive_associativity) ).

fof(idempotence,axiom,
    ! [X1] : addition(X1,X1) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',idempotence) ).

fof(additive_commutativity,axiom,
    ! [X1,X2] : addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',additive_commutativity) ).

fof(star_unfold1,axiom,
    ! [X1] : addition(one,multiplication(X1,star(X1))) = star(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',star_unfold1) ).

fof(distributivity2,axiom,
    ! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',distributivity2) ).

fof(multiplicative_left_identity,axiom,
    ! [X1] : multiplication(one,X1) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',multiplicative_left_identity) ).

fof(star_unfold2,axiom,
    ! [X1] : addition(one,multiplication(star(X1),X1)) = star(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',star_unfold2) ).

fof(distributivity1,axiom,
    ! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',distributivity1) ).

fof(multiplicative_right_identity,axiom,
    ! [X1] : multiplication(X1,one) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',multiplicative_right_identity) ).

fof(infty_coinduction,axiom,
    ! [X1,X2,X3] :
      ( leq(X3,addition(multiplication(X1,X3),X2))
     => leq(X3,multiplication(strong_iteration(X1),X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',infty_coinduction) ).

fof(order,axiom,
    ! [X1,X2] :
      ( leq(X1,X2)
    <=> addition(X1,X2) = X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',order) ).

fof(infty_unfold1,axiom,
    ! [X1] : strong_iteration(X1) = addition(multiplication(X1,strong_iteration(X1)),one),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',infty_unfold1) ).

fof(left_annihilation,axiom,
    ! [X1] : multiplication(zero,X1) = zero,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',left_annihilation) ).

fof(additive_identity,axiom,
    ! [X1] : addition(X1,zero) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',additive_identity) ).

fof(star_induction2,axiom,
    ! [X1,X2,X3] :
      ( leq(addition(multiplication(X3,X1),X2),X3)
     => leq(multiplication(X2,star(X1)),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',star_induction2) ).

fof(multiplicative_associativity,axiom,
    ! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',multiplicative_associativity) ).

fof(goals,conjecture,
    ! [X4] :
      ( leq(strong_iteration(X4),star(strong_iteration(X4)))
      & leq(star(strong_iteration(X4)),strong_iteration(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(c_0_17,plain,
    ! [X35,X36,X37] : addition(X37,addition(X36,X35)) = addition(addition(X37,X36),X35),
    inference(variable_rename,[status(thm)],[additive_associativity]) ).

fof(c_0_18,plain,
    ! [X39] : addition(X39,X39) = X39,
    inference(variable_rename,[status(thm)],[idempotence]) ).

cnf(c_0_19,plain,
    addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_20,plain,
    addition(X1,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_21,plain,
    ! [X33,X34] : addition(X33,X34) = addition(X34,X33),
    inference(variable_rename,[status(thm)],[additive_commutativity]) ).

cnf(c_0_22,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,plain,
    addition(X1,X2) = addition(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_24,plain,
    ! [X17] : addition(one,multiplication(X17,star(X17))) = star(X17),
    inference(variable_rename,[status(thm)],[star_unfold1]) ).

fof(c_0_25,plain,
    ! [X29,X30,X31] : multiplication(addition(X29,X30),X31) = addition(multiplication(X29,X31),multiplication(X30,X31)),
    inference(variable_rename,[status(thm)],[distributivity2]) ).

fof(c_0_26,plain,
    ! [X25] : multiplication(one,X25) = X25,
    inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).

fof(c_0_27,plain,
    ! [X18] : addition(one,multiplication(star(X18),X18)) = star(X18),
    inference(variable_rename,[status(thm)],[star_unfold2]) ).

fof(c_0_28,plain,
    ! [X26,X27,X28] : multiplication(X26,addition(X27,X28)) = addition(multiplication(X26,X27),multiplication(X26,X28)),
    inference(variable_rename,[status(thm)],[distributivity1]) ).

fof(c_0_29,plain,
    ! [X24] : multiplication(X24,one) = X24,
    inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).

fof(c_0_30,plain,
    ! [X12,X13,X14] :
      ( leq(X14,multiplication(strong_iteration(X12),X13))
      | ~ leq(X14,addition(multiplication(X12,X14),X13)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[infty_coinduction])])]) ).

fof(c_0_31,plain,
    ! [X15,X16] :
      ( ( leq(X15,X16)
        | addition(X15,X16) != X16 )
      & ( addition(X15,X16) = X16
        | ~ leq(X15,X16) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])])]) ).

fof(c_0_32,plain,
    ! [X20] : strong_iteration(X20) = addition(multiplication(X20,strong_iteration(X20)),one),
    inference(variable_rename,[status(thm)],[infty_unfold1]) ).

cnf(c_0_33,plain,
    addition(X1,addition(X2,X1)) = addition(X2,X1),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_34,plain,
    addition(one,multiplication(X1,star(X1))) = star(X1),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_35,plain,
    multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_36,plain,
    multiplication(one,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_37,plain,
    addition(one,multiplication(star(X1),X1)) = star(X1),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_38,plain,
    multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_39,plain,
    multiplication(X1,one) = X1,
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_40,plain,
    ( ~ leq(X1,addition(multiplication(X2,X1),X3))
    | leq(X1,multiplication(strong_iteration(X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_41,plain,
    ( addition(X1,X2) != X2
    | leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_42,plain,
    strong_iteration(X1) = addition(multiplication(X1,strong_iteration(X1)),one),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_43,plain,
    ! [X32] : multiplication(zero,X32) = zero,
    inference(variable_rename,[status(thm)],[left_annihilation]) ).

fof(c_0_44,plain,
    ! [X38] : addition(X38,zero) = X38,
    inference(variable_rename,[status(thm)],[additive_identity]) ).

fof(c_0_45,plain,
    ! [X9,X10,X11] :
      ( leq(multiplication(X10,star(X9)),X11)
      | ~ leq(addition(multiplication(X11,X9),X10),X11) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction2])])]) ).

cnf(c_0_46,plain,
    addition(star(X1),multiplication(X1,star(X1))) = star(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_23]) ).

cnf(c_0_47,plain,
    addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_23]) ).

cnf(c_0_48,plain,
    addition(star(X1),multiplication(star(X1),X1)) = star(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_37]),c_0_23]) ).

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_38,c_0_39]),c_0_23]) ).

cnf(c_0_50,plain,
    ( addition(X1,addition(multiplication(X2,X1),X3)) != addition(multiplication(X2,X1),X3)
    | leq(X1,multiplication(strong_iteration(X2),X3)) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_51,plain,
    addition(one,multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
    inference(rw,[status(thm)],[c_0_42,c_0_23]) ).

cnf(c_0_52,plain,
    multiplication(zero,X1) = zero,
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_53,plain,
    addition(X1,zero) = X1,
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

fof(c_0_54,plain,
    ! [X21,X22,X23] : multiplication(X21,multiplication(X22,X23)) = multiplication(multiplication(X21,X22),X23),
    inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).

cnf(c_0_55,plain,
    ( ~ leq(addition(multiplication(X1,X2),X3),X1)
    | leq(multiplication(X3,star(X2)),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_56,plain,
    addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
    inference(spm,[status(thm)],[c_0_23,c_0_19]) ).

cnf(c_0_57,plain,
    multiplication(addition(X1,one),star(X1)) = star(X1),
    inference(rw,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_58,plain,
    addition(X1,addition(X2,addition(X3,X1))) = addition(X2,addition(X3,X1)),
    inference(spm,[status(thm)],[c_0_33,c_0_19]) ).

cnf(c_0_59,plain,
    multiplication(star(X1),addition(X1,one)) = star(X1),
    inference(rw,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_60,plain,
    leq(X1,multiplication(strong_iteration(X2),X1)),
    inference(spm,[status(thm)],[c_0_50,c_0_33]) ).

cnf(c_0_61,plain,
    strong_iteration(zero) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).

cnf(c_0_62,plain,
    multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_63,plain,
    ( ~ leq(addition(X2,addition(multiplication(X4,X3),X1)),X4)
    | leq(multiplication(addition(X1,X2),star(X3)),X4) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_64,plain,
    addition(one,addition(multiplication(star(X1),X1),X2)) = addition(star(X1),X2),
    inference(spm,[status(thm)],[c_0_19,c_0_37]) ).

cnf(c_0_65,plain,
    multiplication(addition(one,X1),star(X1)) = star(X1),
    inference(spm,[status(thm)],[c_0_57,c_0_23]) ).

cnf(c_0_66,plain,
    addition(one,star(X1)) = star(X1),
    inference(spm,[status(thm)],[c_0_22,c_0_37]) ).

cnf(c_0_67,plain,
    addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_23]),c_0_19]) ).

cnf(c_0_68,plain,
    leq(X1,multiplication(strong_iteration(X2),addition(X3,X1))),
    inference(spm,[status(thm)],[c_0_50,c_0_58]) ).

cnf(c_0_69,plain,
    ( ~ leq(addition(star(X2),X1),star(X2))
    | leq(multiplication(X1,star(addition(X2,one))),star(X2)) ),
    inference(spm,[status(thm)],[c_0_55,c_0_59]) ).

cnf(c_0_70,plain,
    leq(X1,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_36]) ).

cnf(c_0_71,plain,
    ( ~ leq(multiplication(addition(X3,X1),X2),X3)
    | leq(multiplication(X1,multiplication(X2,star(X2))),X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_35]),c_0_62]) ).

cnf(c_0_72,plain,
    ( ~ leq(addition(star(X2),X1),star(X2))
    | leq(multiplication(addition(X1,one),star(X2)),star(X2)) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_73,plain,
    multiplication(star(X1),star(star(X1))) = star(star(X1)),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_74,plain,
    addition(one,addition(X1,multiplication(star(X2),X2))) = addition(X1,star(X2)),
    inference(spm,[status(thm)],[c_0_67,c_0_37]) ).

cnf(c_0_75,plain,
    ( ~ leq(X1,addition(X3,multiplication(X2,X1)))
    | leq(X1,multiplication(strong_iteration(X2),X3)) ),
    inference(spm,[status(thm)],[c_0_40,c_0_23]) ).

cnf(c_0_76,plain,
    addition(one,multiplication(X1,multiplication(X2,star(multiplication(X1,X2))))) = star(multiplication(X1,X2)),
    inference(spm,[status(thm)],[c_0_34,c_0_62]) ).

fof(c_0_77,negated_conjecture,
    ~ ! [X4] :
        ( leq(strong_iteration(X4),star(strong_iteration(X4)))
        & leq(star(strong_iteration(X4)),strong_iteration(X4)) ),
    inference(assume_negation,[status(cth)],[goals]) ).

cnf(c_0_78,plain,
    leq(X1,addition(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_61]),c_0_36]) ).

cnf(c_0_79,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(spm,[status(thm)],[c_0_69,c_0_36]),c_0_23]),c_0_66]),c_0_70])]) ).

cnf(c_0_80,plain,
    ( ~ leq(X1,X2)
    | addition(X1,X2) = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_81,plain,
    ( ~ leq(multiplication(X1,X2),X1)
    | leq(multiplication(X1,multiplication(X2,star(X2))),X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_20]),c_0_62]) ).

cnf(c_0_82,plain,
    leq(star(star(X1)),star(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_36]),c_0_73]),c_0_20]),c_0_70])]) ).

cnf(c_0_83,plain,
    addition(X1,star(X1)) = star(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_47]),c_0_23]),c_0_66]),c_0_37]) ).

cnf(c_0_84,plain,
    ( ~ leq(multiplication(X1,star(multiplication(X2,X1))),star(multiplication(X2,X1)))
    | leq(multiplication(X1,star(multiplication(X2,X1))),strong_iteration(X2)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_39]) ).

cnf(c_0_85,plain,
    multiplication(strong_iteration(X1),star(multiplication(X1,strong_iteration(X1)))) = star(multiplication(X1,strong_iteration(X1))),
    inference(spm,[status(thm)],[c_0_65,c_0_51]) ).

fof(c_0_86,negated_conjecture,
    ( ~ leq(strong_iteration(esk1_0),star(strong_iteration(esk1_0)))
    | ~ leq(star(strong_iteration(esk1_0)),strong_iteration(esk1_0)) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])])]) ).

cnf(c_0_87,plain,
    leq(X1,addition(X1,X2)),
    inference(spm,[status(thm)],[c_0_78,c_0_23]) ).

cnf(c_0_88,plain,
    leq(star(addition(one,X1)),star(X1)),
    inference(spm,[status(thm)],[c_0_79,c_0_23]) ).

cnf(c_0_89,plain,
    ( ~ leq(multiplication(X1,X2),X1)
    | multiplication(X1,star(X2)) = X1 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_23]),c_0_49]),c_0_23]),c_0_34]) ).

cnf(c_0_90,plain,
    star(star(X1)) = star(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_82]),c_0_23]),c_0_83]) ).

cnf(c_0_91,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_84,c_0_85]),c_0_70])]) ).

cnf(c_0_92,negated_conjecture,
    ( ~ leq(strong_iteration(esk1_0),star(strong_iteration(esk1_0)))
    | ~ leq(star(strong_iteration(esk1_0)),strong_iteration(esk1_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_93,plain,
    leq(X1,star(X1)),
    inference(spm,[status(thm)],[c_0_87,c_0_83]) ).

cnf(c_0_94,plain,
    leq(star(strong_iteration(X1)),star(multiplication(X1,strong_iteration(X1)))),
    inference(spm,[status(thm)],[c_0_88,c_0_51]) ).

cnf(c_0_95,plain,
    star(multiplication(X1,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_89,c_0_85]),c_0_90]),c_0_85]),c_0_91])]) ).

cnf(c_0_96,negated_conjecture,
    ~ leq(star(strong_iteration(esk1_0)),strong_iteration(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93])]) ).

cnf(c_0_97,plain,
    leq(star(strong_iteration(X1)),strong_iteration(X1)),
    inference(rw,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_98,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_97])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : KLE145+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39  % Computer : n015.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Sun Sep 20 22:49:36 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44  Running first-order theorem proving
% 0.12/0.44  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 80.19/12.12  % Version: 3.5.1
% 80.19/12.12  % Preprocessing class: FSMSSMSSSSSNFFN.
% 80.19/12.12  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 80.19/12.12  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 80.19/12.12  % Starting new_bool_3 with 300s (1) cores
% 80.19/12.12  % Starting new_bool_1 with 300s (1) cores
% 80.19/12.12  % Starting sh5l with 300s (1) cores
% 80.19/12.12  % sh5l with pid 4115790 completed with status 0
% 80.19/12.12  % Result found by sh5l
% 80.19/12.12  % Preprocessing class: FSMSSMSSSSSNFFN.
% 80.19/12.12  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 80.19/12.12  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 80.19/12.12  % Starting new_bool_3 with 300s (1) cores
% 80.19/12.12  % Starting new_bool_1 with 300s (1) cores
% 80.19/12.12  % Starting sh5l with 300s (1) cores
% 80.19/12.12  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 80.19/12.12  % SinE strategy is gf500_gu_R04_F100_L20000
% 80.19/12.12  % Search class: FHHSM-FFSF21-MFFFFFNN
% 80.19/12.12  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 80.19/12.12  % Starting SubtermCWHack with 28s (1) cores
% 80.19/12.12  % SubtermCWHack with pid 4115797 completed with status 0
% 80.19/12.12  % Result found by SubtermCWHack
% 80.19/12.12  % Preprocessing class: FSMSSMSSSSSNFFN.
% 80.19/12.12  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 80.19/12.12  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 80.19/12.12  % Starting new_bool_3 with 300s (1) cores
% 80.19/12.12  % Starting new_bool_1 with 300s (1) cores
% 80.19/12.12  % Starting sh5l with 300s (1) cores
% 80.19/12.12  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 80.19/12.12  % SinE strategy is gf500_gu_R04_F100_L20000
% 80.19/12.12  % Search class: FHHSM-FFSF21-MFFFFFNN
% 80.19/12.12  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 80.19/12.12  % Starting SubtermCWHack with 28s (1) cores
% 80.19/12.12  % Preprocessing time       : 0.001 s
% 80.19/12.12  
% 80.19/12.12  % Proof found!
% 80.19/12.12  % SZS status Theorem
% 80.19/12.12  % SZS output start CNFRefutation
% See solution above
% 80.19/12.12  % Parsed axioms                        : 19
% 80.19/12.12  % Removed by relevancy pruning/SinE    : 0
% 80.19/12.12  % Initial clauses                      : 20
% 80.19/12.12  % Removed in clause preprocessing      : 0
% 80.19/12.12  % Initial clauses in saturation        : 20
% 80.19/12.12  % Processed clauses                    : 36396
% 80.19/12.12  % ...of these trivial                  : 4014
% 80.19/12.12  % ...subsumed                          : 29199
% 80.19/12.12  % ...remaining for further processing  : 3183
% 80.19/12.12  % Other redundant clauses eliminated   : 169
% 80.19/12.12  % Clauses deleted for lack of memory   : 0
% 80.19/12.12  % Backward-subsumed                    : 97
% 80.19/12.12  % Backward-rewritten                   : 378
% 80.19/12.12  % Generated clauses                    : 795828
% 80.19/12.12  % ...of the previous two non-redundant : 570764
% 80.19/12.12  % ...aggressively subsumed             : 0
% 80.19/12.12  % Contextual simplify-reflections      : 1
% 80.19/12.12  % Paramodulations                      : 795659
% 80.19/12.12  % Factorizations                       : 0
% 80.19/12.12  % NegExts                              : 0
% 80.19/12.12  % Equation resolutions                 : 169
% 80.19/12.12  % Disequality decompositions           : 0
% 80.19/12.12  % Total rewrite steps                  : 1044825
% 80.19/12.12  % ...of those cached                   : 916040
% 80.19/12.12  % Propositional unsat checks           : 0
% 80.19/12.12  %    Propositional check models        : 0
% 80.19/12.12  %    Propositional check unsatisfiable : 0
% 80.19/12.12  %    Propositional clauses             : 0
% 80.19/12.12  %    Propositional clauses after purity: 0
% 80.19/12.12  %    Propositional unsat core size     : 0
% 80.19/12.12  %    Propositional preprocessing time  : 0.000
% 80.19/12.12  %    Propositional encoding time       : 0.000
% 80.19/12.12  %    Propositional solver time         : 0.000
% 80.19/12.12  %    Success case prop preproc time    : 0.000
% 80.19/12.12  %    Success case prop encoding time   : 0.000
% 80.19/12.12  %    Success case prop solver time     : 0.000
% 80.19/12.12  % Current number of processed clauses  : 2708
% 80.19/12.12  %    Positive orientable unit clauses  : 1450
% 80.19/12.12  %    Positive unorientable unit clauses: 45
% 80.19/12.12  %    Negative unit clauses             : 271
% 80.19/12.12  %    Non-unit-clauses                  : 942
% 80.19/12.12  % Current number of unprocessed clauses: 533093
% 80.19/12.12  % ...number of literals in the above   : 823488
% 80.19/12.12  % Current number of archived formulas  : 0
% 80.19/12.12  % Current number of archived clauses   : 475
% 80.19/12.12  % Clause-clause subsumption calls (NU) : 119269
% 80.19/12.12  % Rec. Clause-clause subsumption calls : 118922
% 80.19/12.12  % Non-unit clause-clause subsumptions  : 6234
% 80.19/12.12  % Unit Clause-clause subsumption calls : 7754
% 80.19/12.12  % Rewrite failures with RHS unbound    : 0
% 80.19/12.12  % BW rewrite match attempts            : 20004
% 80.19/12.12  % BW rewrite match successes           : 349
% 80.19/12.12  % Condensation attempts                : 0
% 80.19/12.12  % Condensation successes               : 0
% 80.19/12.12  % Termbank termtop insertions          : 11918961
% 80.19/12.12  % Search garbage collected termcells   : 82
% 80.19/12.12  
% 80.19/12.12  % -------------------------------------------------
% 80.19/12.12  % User time                : 10.996 s
% 80.19/12.12  % System time              : 0.470 s
% 80.19/12.12  % Total time               : 11.466 s
% 80.19/12.12  % Maximum resident set size: 3652 pages
% 80.19/12.12  
% 80.19/12.12  % -------------------------------------------------
% 80.19/12.12  % User time                : 10.997 s
% 80.19/12.12  % System time              : 0.476 s
% 80.19/12.12  % Total time               : 11.473 s
% 80.19/12.12  % Maximum resident set size: 4608 pages
% 80.19/12.12  % E exiting
%------------------------------------------------------------------------------