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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : ITP012+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 12:53:38 PM UTC 2026

% Result   : Theorem 50.54s 7.90s
% Output   : CNFRefutation 50.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   45 (  17 unt;   0 def)
%            Number of atoms       :  136 (  12 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  147 (  56   ~;  56   |;  10   &)
%                                         (   5 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   53 (   0 sgn  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_thm_2Einteger_2EINT__DIVIDES__RSUB,conjecture,
    ! [X34] :
      ( mem(X34,ty_2Einteger_2Eint)
     => ! [X106] :
          ( mem(X106,ty_2Einteger_2Eint)
         => ! [X107] :
              ( mem(X107,ty_2Einteger_2Eint)
             => ( p(ap(ap(c_2Einteger_2Eint__divides,X34),X106))
               => ( p(ap(ap(c_2Einteger_2Eint__divides,X34),ap(ap(c_2Einteger_2Eint__sub,X107),X106)))
                <=> p(ap(ap(c_2Einteger_2Eint__divides,X34),X107)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RSUB) ).

fof(ap_tp,axiom,
    ! [X1,X2,X3] :
      ( mem(X3,arr(X1,X2))
     => ! [X4] :
          ( mem(X4,X1)
         => mem(ap(X3,X4),X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax',ap_tp) ).

fof(conj_thm_2Einteger_2EINT__NEG__SUB,axiom,
    ! [X32] :
      ( mem(X32,ty_2Einteger_2Eint)
     => ! [X25] :
          ( mem(X25,ty_2Einteger_2Eint)
         => ap(c_2Einteger_2Eint__neg,ap(ap(c_2Einteger_2Eint__sub,X32),X25)) = ap(ap(c_2Einteger_2Eint__sub,X25),X32) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__NEG__SUB) ).

fof(conj_thm_2Einteger_2EINT__DIVIDES__NEG,axiom,
    ! [X34] :
      ( mem(X34,ty_2Einteger_2Eint)
     => ! [X106] :
          ( mem(X106,ty_2Einteger_2Eint)
         => ( ( p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,X34)),X106))
            <=> p(ap(ap(c_2Einteger_2Eint__divides,X34),X106)) )
            & ( p(ap(ap(c_2Einteger_2Eint__divides,X34),ap(c_2Einteger_2Eint__neg,X106)))
            <=> p(ap(ap(c_2Einteger_2Eint__divides,X34),X106)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__NEG) ).

fof(mem_c_2Einteger_2Eint__sub,axiom,
    mem(c_2Einteger_2Eint__sub,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Einteger_2Eint__sub) ).

fof(conj_thm_2Einteger_2EINT__SUB__SUB2,axiom,
    ! [X32] :
      ( mem(X32,ty_2Einteger_2Eint)
     => ! [X25] :
          ( mem(X25,ty_2Einteger_2Eint)
         => ap(ap(c_2Einteger_2Eint__sub,X32),ap(ap(c_2Einteger_2Eint__sub,X32),X25)) = X25 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__SUB__SUB2) ).

fof(conj_thm_2Einteger_2EINT__DIVIDES__LSUB,axiom,
    ! [X34] :
      ( mem(X34,ty_2Einteger_2Eint)
     => ! [X106] :
          ( mem(X106,ty_2Einteger_2Eint)
         => ! [X107] :
              ( mem(X107,ty_2Einteger_2Eint)
             => ( p(ap(ap(c_2Einteger_2Eint__divides,X34),X106))
               => ( p(ap(ap(c_2Einteger_2Eint__divides,X34),ap(ap(c_2Einteger_2Eint__sub,X106),X107)))
                <=> p(ap(ap(c_2Einteger_2Eint__divides,X34),X107)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__LSUB) ).

fof(c_0_7,negated_conjecture,
    ~ ! [X34] :
        ( mem(X34,ty_2Einteger_2Eint)
       => ! [X106] :
            ( mem(X106,ty_2Einteger_2Eint)
           => ! [X107] :
                ( mem(X107,ty_2Einteger_2Eint)
               => ( p(ap(ap(c_2Einteger_2Eint__divides,X34),X106))
                 => ( p(ap(ap(c_2Einteger_2Eint__divides,X34),ap(ap(c_2Einteger_2Eint__sub,X107),X106)))
                  <=> p(ap(ap(c_2Einteger_2Eint__divides,X34),X107)) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[conj_thm_2Einteger_2EINT__DIVIDES__RSUB]) ).

fof(c_0_8,plain,
    ! [X13590,X13591,X13592,X13593] :
      ( mem(ap(X13592,X13593),X13591)
      | ~ mem(X13593,X13590)
      | ~ mem(X13592,arr(X13590,X13591)) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])]) ).

fof(c_0_9,negated_conjecture,
    ( ( p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0))
      | p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0))) )
    & ( ~ p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0))
      | ~ p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0))) )
    & p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0))
    & mem(esk3_0,ty_2Einteger_2Eint)
    & mem(esk2_0,ty_2Einteger_2Eint)
    & mem(esk1_0,ty_2Einteger_2Eint) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).

fof(c_0_10,plain,
    ! [X13643,X13644] :
      ( ap(c_2Einteger_2Eint__neg,ap(ap(c_2Einteger_2Eint__sub,X13643),X13644)) = ap(ap(c_2Einteger_2Eint__sub,X13644),X13643)
      | ~ mem(X13644,ty_2Einteger_2Eint)
      | ~ mem(X13643,ty_2Einteger_2Eint) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__NEG__SUB])])])]) ).

cnf(c_0_11,plain,
    ( ~ mem(X4,X2)
    | ~ mem(X1,arr(X2,X3))
    | mem(ap(X1,X4),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    mem(esk3_0,ty_2Einteger_2Eint),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_13,plain,
    ! [X13629,X13630] :
      ( ( ~ mem(X13629,ty_2Einteger_2Eint)
        | ~ mem(X13630,ty_2Einteger_2Eint)
        | p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,X13629)),X13630))
        | ~ p(ap(ap(c_2Einteger_2Eint__divides,X13629),X13630)) )
      & ( ~ mem(X13629,ty_2Einteger_2Eint)
        | ~ mem(X13630,ty_2Einteger_2Eint)
        | p(ap(ap(c_2Einteger_2Eint__divides,X13629),X13630))
        | ~ p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,X13629)),X13630)) )
      & ( ~ mem(X13629,ty_2Einteger_2Eint)
        | ~ mem(X13630,ty_2Einteger_2Eint)
        | p(ap(ap(c_2Einteger_2Eint__divides,X13629),ap(c_2Einteger_2Eint__neg,X13630)))
        | ~ p(ap(ap(c_2Einteger_2Eint__divides,X13629),X13630)) )
      & ( ~ mem(X13629,ty_2Einteger_2Eint)
        | ~ mem(X13630,ty_2Einteger_2Eint)
        | p(ap(ap(c_2Einteger_2Eint__divides,X13629),X13630))
        | ~ p(ap(ap(c_2Einteger_2Eint__divides,X13629),ap(c_2Einteger_2Eint__neg,X13630))) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__DIVIDES__NEG])])])])]) ).

cnf(c_0_14,plain,
    ( ~ mem(X2,ty_2Einteger_2Eint)
    | ~ mem(X1,ty_2Einteger_2Eint)
    | ap(c_2Einteger_2Eint__neg,ap(ap(c_2Einteger_2Eint__sub,X1),X2)) = ap(ap(c_2Einteger_2Eint__sub,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    mem(esk2_0,ty_2Einteger_2Eint),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_16,negated_conjecture,
    ( ~ mem(X1,arr(ty_2Einteger_2Eint,X2))
    | mem(ap(X1,esk3_0),X2) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_17,plain,
    mem(c_2Einteger_2Eint__sub,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint))),
    inference(split_conjunct,[status(thm)],[mem_c_2Einteger_2Eint__sub]) ).

fof(c_0_18,plain,
    ! [X13697,X13698] :
      ( ap(ap(c_2Einteger_2Eint__sub,X13697),ap(ap(c_2Einteger_2Eint__sub,X13697),X13698)) = X13698
      | ~ mem(X13698,ty_2Einteger_2Eint)
      | ~ mem(X13697,ty_2Einteger_2Eint) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__SUB__SUB2])])])]) ).

fof(c_0_19,plain,
    ! [X13631,X13632,X13633] :
      ( ( ~ mem(X13631,ty_2Einteger_2Eint)
        | ~ mem(X13632,ty_2Einteger_2Eint)
        | ~ mem(X13633,ty_2Einteger_2Eint)
        | ~ p(ap(ap(c_2Einteger_2Eint__divides,X13631),X13632))
        | p(ap(ap(c_2Einteger_2Eint__divides,X13631),ap(ap(c_2Einteger_2Eint__sub,X13632),X13633)))
        | ~ p(ap(ap(c_2Einteger_2Eint__divides,X13631),X13633)) )
      & ( ~ mem(X13631,ty_2Einteger_2Eint)
        | ~ mem(X13632,ty_2Einteger_2Eint)
        | ~ mem(X13633,ty_2Einteger_2Eint)
        | ~ p(ap(ap(c_2Einteger_2Eint__divides,X13631),X13632))
        | p(ap(ap(c_2Einteger_2Eint__divides,X13631),X13633))
        | ~ p(ap(ap(c_2Einteger_2Eint__divides,X13631),ap(ap(c_2Einteger_2Eint__sub,X13632),X13633))) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Einteger_2EINT__DIVIDES__LSUB])])])])]) ).

cnf(c_0_20,plain,
    ( ~ mem(X1,ty_2Einteger_2Eint)
    | ~ mem(X2,ty_2Einteger_2Eint)
    | ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),X2))
    | p(ap(ap(c_2Einteger_2Eint__divides,X1),ap(c_2Einteger_2Eint__neg,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,negated_conjecture,
    ( p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0))
    | p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0))) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_22,negated_conjecture,
    mem(esk1_0,ty_2Einteger_2Eint),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ mem(X1,ty_2Einteger_2Eint)
    | ap(c_2Einteger_2Eint__neg,ap(ap(c_2Einteger_2Eint__sub,X1),esk2_0)) = ap(ap(c_2Einteger_2Eint__sub,esk2_0),X1) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ mem(X1,arr(ty_2Einteger_2Eint,X2))
    | mem(ap(X1,esk2_0),X2) ),
    inference(spm,[status(thm)],[c_0_11,c_0_15]) ).

cnf(c_0_25,negated_conjecture,
    mem(ap(c_2Einteger_2Eint__sub,esk3_0),arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_26,plain,
    ( ~ mem(X2,ty_2Einteger_2Eint)
    | ~ mem(X1,ty_2Einteger_2Eint)
    | ap(ap(c_2Einteger_2Eint__sub,X1),ap(ap(c_2Einteger_2Eint__sub,X1),X2)) = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_27,plain,
    ( ~ mem(X1,ty_2Einteger_2Eint)
    | ~ mem(X2,ty_2Einteger_2Eint)
    | ~ mem(X3,ty_2Einteger_2Eint)
    | ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),X2))
    | ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),ap(ap(c_2Einteger_2Eint__sub,X2),X3)))
    | p(ap(ap(c_2Einteger_2Eint__divides,X1),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_28,negated_conjecture,
    p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk2_0)),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ mem(ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0),ty_2Einteger_2Eint)
    | p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0))
    | p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(c_2Einteger_2Eint__neg,ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).

cnf(c_0_30,negated_conjecture,
    ap(c_2Einteger_2Eint__neg,ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0)) = ap(ap(c_2Einteger_2Eint__sub,esk2_0),esk3_0),
    inference(spm,[status(thm)],[c_0_23,c_0_12]) ).

cnf(c_0_31,negated_conjecture,
    mem(ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0),ty_2Einteger_2Eint),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_32,negated_conjecture,
    ( ~ mem(X1,ty_2Einteger_2Eint)
    | ap(ap(c_2Einteger_2Eint__sub,X1),ap(ap(c_2Einteger_2Eint__sub,X1),esk3_0)) = esk3_0 ),
    inference(spm,[status(thm)],[c_0_26,c_0_12]) ).

cnf(c_0_33,negated_conjecture,
    mem(ap(c_2Einteger_2Eint__sub,esk2_0),arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)),
    inference(spm,[status(thm)],[c_0_24,c_0_17]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ mem(X1,ty_2Einteger_2Eint)
    | ~ p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk2_0),X1)))
    | p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_15]),c_0_22])]) ).

cnf(c_0_35,negated_conjecture,
    ( p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0))
    | p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk2_0),esk3_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).

cnf(c_0_36,negated_conjecture,
    ap(ap(c_2Einteger_2Eint__sub,esk2_0),ap(ap(c_2Einteger_2Eint__sub,esk2_0),esk3_0)) = esk3_0,
    inference(spm,[status(thm)],[c_0_32,c_0_15]) ).

cnf(c_0_37,negated_conjecture,
    mem(ap(ap(c_2Einteger_2Eint__sub,esk2_0),esk3_0),ty_2Einteger_2Eint),
    inference(spm,[status(thm)],[c_0_16,c_0_33]) ).

cnf(c_0_38,negated_conjecture,
    p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_12])]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ mem(X1,ty_2Einteger_2Eint)
    | ap(c_2Einteger_2Eint__neg,ap(ap(c_2Einteger_2Eint__sub,X1),esk3_0)) = ap(ap(c_2Einteger_2Eint__sub,esk3_0),X1) ),
    inference(spm,[status(thm)],[c_0_14,c_0_12]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),esk3_0))
    | ~ p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0))) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_41,negated_conjecture,
    p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk2_0),esk3_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_36]),c_0_37])]),c_0_38])]) ).

cnf(c_0_42,negated_conjecture,
    ap(c_2Einteger_2Eint__neg,ap(ap(c_2Einteger_2Eint__sub,esk2_0),esk3_0)) = ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0),
    inference(spm,[status(thm)],[c_0_39,c_0_15]) ).

cnf(c_0_43,negated_conjecture,
    ~ p(ap(ap(c_2Einteger_2Eint__divides,esk1_0),ap(ap(c_2Einteger_2Eint__sub,esk3_0),esk2_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_38])]) ).

cnf(c_0_44,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_41]),c_0_42]),c_0_37]),c_0_22])]),c_0_43]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP012+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36  % Computer : n003.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sun Sep 20 21:48:02 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41  Running first-order theorem proving
% 0.13/0.41  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
% 50.54/7.90  % Version: 3.5.1
% 50.54/7.90  % Preprocessing class: FMLLSMLLSSSNFFN.
% 50.54/7.90  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 50.54/7.90  % Starting new_bool_3 with 900s (3) cores
% 50.54/7.90  % Starting new_bool_1 with 900s (3) cores
% 50.54/7.90  % Starting sh5l with 300s (1) cores
% 50.54/7.90  % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 50.54/7.90  % new_bool_3 with pid 2640040 completed with status 0
% 50.54/7.90  % Result found by new_bool_3
% 50.54/7.90  % Preprocessing class: FMLLSMLLSSSNFFN.
% 50.54/7.90  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 50.54/7.90  % Starting new_bool_3 with 900s (3) cores
% 50.54/7.90  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 50.54/7.90  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 50.54/7.90  % Search class: FGHSF-SMLM33-DFFFFFNN
% 50.54/7.90  % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 50.54/7.90  % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 50.54/7.90  % Starting SubtermCWHack with 82s (1) cores
% 50.54/7.90  % Starting new_bool_3 with 91s (1) cores
% 50.54/7.90  % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 82s (1) cores
% 50.54/7.90  % new_bool_3 with pid 2640046 completed with status 0
% 50.54/7.90  % Result found by new_bool_3
% 50.54/7.90  % Preprocessing class: FMLLSMLLSSSNFFN.
% 50.54/7.90  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 50.54/7.90  % Starting new_bool_3 with 900s (3) cores
% 50.54/7.90  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 50.54/7.90  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 50.54/7.90  % Search class: FGHSF-SMLM33-DFFFFFNN
% 50.54/7.90  % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 50.54/7.90  % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 50.54/7.90  % Starting SubtermCWHack with 82s (1) cores
% 50.54/7.90  % Starting new_bool_3 with 91s (1) cores
% 50.54/7.90  % Preprocessing time       : 0.128 s
% 50.54/7.90  % Presaturation interreduction done
% 50.54/7.90  
% 50.54/7.90  % Proof found!
% 50.54/7.90  % SZS status Theorem
% 50.54/7.90  % SZS output start CNFRefutation
% See solution above
% 50.54/7.90  % Parsed axioms                        : 10257
% 50.54/7.90  % Removed by relevancy pruning/SinE    : 9415
% 50.54/7.90  % Initial clauses                      : 5322
% 50.54/7.90  % Removed in clause preprocessing      : 1213
% 50.54/7.90  % Initial clauses in saturation        : 4109
% 50.54/7.90  % Processed clauses                    : 6657
% 50.54/7.90  % ...of these trivial                  : 17
% 50.54/7.90  % ...subsumed                          : 501
% 50.54/7.90  % ...remaining for further processing  : 6139
% 50.54/7.90  % Other redundant clauses eliminated   : 193
% 50.54/7.90  % Clauses deleted for lack of memory   : 0
% 50.54/7.90  % Backward-subsumed                    : 12
% 50.54/7.90  % Backward-rewritten                   : 94
% 50.54/7.90  % Generated clauses                    : 14660
% 50.54/7.90  % ...of the previous two non-redundant : 14454
% 50.54/7.90  % ...aggressively subsumed             : 0
% 50.54/7.90  % Contextual simplify-reflections      : 13
% 50.54/7.90  % Paramodulations                      : 14502
% 50.54/7.90  % Factorizations                       : 2
% 50.54/7.90  % NegExts                              : 0
% 50.54/7.90  % Equation resolutions                 : 193
% 50.54/7.90  % Disequality decompositions           : 0
% 50.54/7.90  % Total rewrite steps                  : 4430
% 50.54/7.90  % ...of those cached                   : 4237
% 50.54/7.90  % Propositional unsat checks           : 1
% 50.54/7.90  %    Propositional check models        : 1
% 50.54/7.90  %    Propositional check unsatisfiable : 0
% 50.54/7.90  %    Propositional clauses             : 0
% 50.54/7.90  %    Propositional clauses after purity: 0
% 50.54/7.90  %    Propositional unsat core size     : 0
% 50.54/7.90  %    Propositional preprocessing time  : 0.000
% 50.54/7.90  %    Propositional encoding time       : 0.033
% 50.54/7.90  %    Propositional solver time         : 0.002
% 50.54/7.90  %    Success case prop preproc time    : 0.000
% 50.54/7.90  %    Success case prop encoding time   : 0.000
% 50.54/7.90  %    Success case prop solver time     : 0.000
% 50.54/7.90  % Current number of processed clauses  : 2091
% 50.54/7.90  %    Positive orientable unit clauses  : 564
% 50.54/7.90  %    Positive unorientable unit clauses: 0
% 50.54/7.90  %    Negative unit clauses             : 700
% 50.54/7.90  %    Non-unit-clauses                  : 827
% 50.54/7.90  % Current number of unprocessed clauses: 15628
% 50.54/7.90  % ...number of literals in the above   : 52566
% 50.54/7.90  % Current number of archived formulas  : 0
% 50.54/7.90  % Current number of archived clauses   : 3892
% 50.54/7.90  % Clause-clause subsumption calls (NU) : 8931973
% 50.54/7.90  % Rec. Clause-clause subsumption calls : 63011
% 50.54/7.90  % Non-unit clause-clause subsumptions  : 446
% 50.54/7.90  % Unit Clause-clause subsumption calls : 42695
% 50.54/7.90  % Rewrite failures with RHS unbound    : 0
% 50.54/7.90  % BW rewrite match attempts            : 7071
% 50.54/7.90  % BW rewrite match successes           : 44
% 50.54/7.90  % Condensation attempts                : 0
% 50.54/7.90  % Condensation successes               : 0
% 50.54/7.90  % Termbank termtop insertions          : 1697062
% 50.54/7.90  % Search garbage collected termcells   : 322798
% 50.54/7.90  
% 50.54/7.90  % -------------------------------------------------
% 50.54/7.90  % User time                : 6.398 s
% 50.54/7.90  % System time              : 0.149 s
% 50.54/7.90  % Total time               : 6.547 s
% 50.54/7.90  % Maximum resident set size: 55688 pages
% 50.54/7.90  
% 50.54/7.90  % -------------------------------------------------
% 50.54/7.90  % User time                : 18.244 s
% 50.54/7.90  % System time              : 0.506 s
% 50.54/7.90  % Total time               : 18.750 s
% 50.54/7.90  % Maximum resident set size: 43008 pages
% 50.54/7.90  % E exiting
%------------------------------------------------------------------------------