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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : ITP012+2 : 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 : n007.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 12:55:47 PM UTC 2026

% Result   : Theorem 1.87s 0.72s
% Output   : CNFRefutation 1.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   47 (  18 unt;   0 def)
%            Number of atoms       :  164 (  11 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  197 (  80   ~;  79   |;  11   &)
%                                         (   6 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   61 (   0 sgn  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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(boolext,axiom,
    ! [X5] :
      ( mem(X5,bool)
     => ! [X6] :
          ( mem(X6,bool)
         => ( ( p(X5)
            <=> p(X6) )
           => X5 = X6 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001+2.ax',boolext) ).

fof(mem_c_2Einteger_2Eint__divides,axiom,
    mem(c_2Einteger_2Eint__divides,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Einteger_2Eint__divides) ).

fof(conj_thm_2Einteger_2EINT__DIVIDES__RADD,axiom,
    ! [X24] :
      ( mem(X24,ty_2Einteger_2Eint)
     => ! [X25] :
          ( mem(X25,ty_2Einteger_2Eint)
         => ! [X26] :
              ( mem(X26,ty_2Einteger_2Eint)
             => ( p(ap(ap(c_2Einteger_2Eint__divides,X24),X25))
               => ( p(ap(ap(c_2Einteger_2Eint__divides,X24),ap(ap(c_2Einteger_2Eint__add,X26),X25)))
                <=> p(ap(ap(c_2Einteger_2Eint__divides,X24),X26)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RADD) ).

fof(ax_thm_2Einteger_2Eint__sub,axiom,
    ! [X22] :
      ( mem(X22,ty_2Einteger_2Eint)
     => ! [X23] :
          ( mem(X23,ty_2Einteger_2Eint)
         => ap(ap(c_2Einteger_2Eint__sub,X22),X23) = ap(ap(c_2Einteger_2Eint__add,X22),ap(c_2Einteger_2Eint__neg,X23)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2Einteger_2Eint__sub) ).

fof(mem_c_2Einteger_2Eint__neg,axiom,
    mem(c_2Einteger_2Eint__neg,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Einteger_2Eint__neg) ).

fof(conj_thm_2Einteger_2EINT__DIVIDES__RSUB,conjecture,
    ! [X24] :
      ( mem(X24,ty_2Einteger_2Eint)
     => ! [X25] :
          ( mem(X25,ty_2Einteger_2Eint)
         => ! [X26] :
              ( mem(X26,ty_2Einteger_2Eint)
             => ( p(ap(ap(c_2Einteger_2Eint__divides,X24),X25))
               => ( p(ap(ap(c_2Einteger_2Eint__divides,X24),ap(ap(c_2Einteger_2Eint__sub,X26),X25)))
                <=> p(ap(ap(c_2Einteger_2Eint__divides,X24),X26)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__RSUB) ).

fof(mem_c_2Ebool_2ET,axiom,
    mem(c_2Ebool_2ET,bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2ET) ).

fof(ax_true_p,axiom,
    p(c_2Ebool_2ET),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_true_p) ).

fof(conj_thm_2Einteger_2EINT__DIVIDES__NEG,axiom,
    ! [X24] :
      ( mem(X24,ty_2Einteger_2Eint)
     => ! [X25] :
          ( mem(X25,ty_2Einteger_2Eint)
         => ( ( p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,X24)),X25))
            <=> p(ap(ap(c_2Einteger_2Eint__divides,X24),X25)) )
            & ( p(ap(ap(c_2Einteger_2Eint__divides,X24),ap(c_2Einteger_2Eint__neg,X25)))
            <=> p(ap(ap(c_2Einteger_2Eint__divides,X24),X25)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Einteger_2EINT__DIVIDES__NEG) ).

fof(c_0_10,plain,
    ! [X29,X30,X31,X32] :
      ( mem(ap(X31,X32),X30)
      | ~ mem(X32,X29)
      | ~ mem(X31,arr(X29,X30)) ),
    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_11,plain,
    ! [X33,X34] :
      ( ( ~ mem(X33,bool)
        | ~ mem(X34,bool)
        | X33 = X34
        | p(X34)
        | p(X33) )
      & ( ~ mem(X33,bool)
        | ~ mem(X34,bool)
        | X33 = X34
        | ~ p(X34)
        | ~ p(X33) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[boolext])])])])]) ).

cnf(c_0_12,plain,
    ( ~ mem(X4,X2)
    | ~ mem(X1,arr(X2,X3))
    | mem(ap(X1,X4),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_13,plain,
    mem(c_2Einteger_2Eint__divides,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))),
    inference(split_conjunct,[status(thm)],[mem_c_2Einteger_2Eint__divides]) ).

fof(c_0_14,plain,
    ! [X93,X94,X95] :
      ( ( ~ mem(X93,ty_2Einteger_2Eint)
        | ~ mem(X94,ty_2Einteger_2Eint)
        | ~ mem(X95,ty_2Einteger_2Eint)
        | ~ p(ap(ap(c_2Einteger_2Eint__divides,X93),X94))
        | p(ap(ap(c_2Einteger_2Eint__divides,X93),ap(ap(c_2Einteger_2Eint__add,X95),X94)))
        | ~ p(ap(ap(c_2Einteger_2Eint__divides,X93),X95)) )
      & ( ~ mem(X93,ty_2Einteger_2Eint)
        | ~ mem(X94,ty_2Einteger_2Eint)
        | ~ mem(X95,ty_2Einteger_2Eint)
        | ~ p(ap(ap(c_2Einteger_2Eint__divides,X93),X94))
        | p(ap(ap(c_2Einteger_2Eint__divides,X93),X95))
        | ~ p(ap(ap(c_2Einteger_2Eint__divides,X93),ap(ap(c_2Einteger_2Eint__add,X95),X94))) ) ),
    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__RADD])])])])]) ).

fof(c_0_15,plain,
    ! [X91,X92] :
      ( ap(ap(c_2Einteger_2Eint__sub,X91),X92) = ap(ap(c_2Einteger_2Eint__add,X91),ap(c_2Einteger_2Eint__neg,X92))
      | ~ mem(X92,ty_2Einteger_2Eint)
      | ~ mem(X91,ty_2Einteger_2Eint) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_thm_2Einteger_2Eint__sub])])])]) ).

cnf(c_0_16,plain,
    mem(c_2Einteger_2Eint__neg,arr(ty_2Einteger_2Eint,ty_2Einteger_2Eint)),
    inference(split_conjunct,[status(thm)],[mem_c_2Einteger_2Eint__neg]) ).

fof(c_0_17,negated_conjecture,
    ~ ! [X24] :
        ( mem(X24,ty_2Einteger_2Eint)
       => ! [X25] :
            ( mem(X25,ty_2Einteger_2Eint)
           => ! [X26] :
                ( mem(X26,ty_2Einteger_2Eint)
               => ( p(ap(ap(c_2Einteger_2Eint__divides,X24),X25))
                 => ( p(ap(ap(c_2Einteger_2Eint__divides,X24),ap(ap(c_2Einteger_2Eint__sub,X26),X25)))
                  <=> p(ap(ap(c_2Einteger_2Eint__divides,X24),X26)) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[conj_thm_2Einteger_2EINT__DIVIDES__RSUB]) ).

cnf(c_0_18,plain,
    ( ~ mem(X1,bool)
    | ~ mem(X2,bool)
    | ~ p(X2)
    | ~ p(X1)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_19,plain,
    mem(c_2Ebool_2ET,bool),
    inference(split_conjunct,[status(thm)],[mem_c_2Ebool_2ET]) ).

cnf(c_0_20,plain,
    p(c_2Ebool_2ET),
    inference(split_conjunct,[status(thm)],[ax_true_p]) ).

cnf(c_0_21,plain,
    ( ~ mem(X1,ty_2Einteger_2Eint)
    | mem(ap(c_2Einteger_2Eint__divides,X1),arr(ty_2Einteger_2Eint,bool)) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_22,plain,
    ( ~ mem(X1,ty_2Einteger_2Eint)
    | ~ mem(X3,ty_2Einteger_2Eint)
    | ~ mem(X2,ty_2Einteger_2Eint)
    | ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),X3))
    | ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),ap(ap(c_2Einteger_2Eint__add,X2),X3)))
    | p(ap(ap(c_2Einteger_2Eint__divides,X1),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_23,plain,
    ( ~ mem(X2,ty_2Einteger_2Eint)
    | ~ mem(X1,ty_2Einteger_2Eint)
    | ap(ap(c_2Einteger_2Eint__sub,X1),X2) = ap(ap(c_2Einteger_2Eint__add,X1),ap(c_2Einteger_2Eint__neg,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_24,plain,
    ( ~ mem(X1,ty_2Einteger_2Eint)
    | mem(ap(c_2Einteger_2Eint__neg,X1),ty_2Einteger_2Eint) ),
    inference(spm,[status(thm)],[c_0_12,c_0_16]) ).

fof(c_0_25,negated_conjecture,
    ( ( p(ap(ap(c_2Einteger_2Eint__divides,esk9_0),esk11_0))
      | p(ap(ap(c_2Einteger_2Eint__divides,esk9_0),ap(ap(c_2Einteger_2Eint__sub,esk11_0),esk10_0))) )
    & ( ~ p(ap(ap(c_2Einteger_2Eint__divides,esk9_0),esk11_0))
      | ~ p(ap(ap(c_2Einteger_2Eint__divides,esk9_0),ap(ap(c_2Einteger_2Eint__sub,esk11_0),esk10_0))) )
    & p(ap(ap(c_2Einteger_2Eint__divides,esk9_0),esk10_0))
    & mem(esk11_0,ty_2Einteger_2Eint)
    & mem(esk10_0,ty_2Einteger_2Eint)
    & mem(esk9_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_17])])])]) ).

cnf(c_0_26,plain,
    ( ~ mem(X1,bool)
    | ~ p(X1)
    | X1 = c_2Ebool_2ET ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).

cnf(c_0_27,plain,
    ( ~ mem(X1,ty_2Einteger_2Eint)
    | ~ mem(X2,ty_2Einteger_2Eint)
    | mem(ap(ap(c_2Einteger_2Eint__divides,X1),X2),bool) ),
    inference(spm,[status(thm)],[c_0_12,c_0_21]) ).

cnf(c_0_28,plain,
    ( ~ mem(X3,ty_2Einteger_2Eint)
    | ~ mem(X1,ty_2Einteger_2Eint)
    | ~ mem(X2,ty_2Einteger_2Eint)
    | ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),ap(c_2Einteger_2Eint__neg,X3)))
    | ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),ap(ap(c_2Einteger_2Eint__sub,X2),X3)))
    | p(ap(ap(c_2Einteger_2Eint__divides,X1),X2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

cnf(c_0_29,negated_conjecture,
    ( p(ap(ap(c_2Einteger_2Eint__divides,esk9_0),esk11_0))
    | p(ap(ap(c_2Einteger_2Eint__divides,esk9_0),ap(ap(c_2Einteger_2Eint__sub,esk11_0),esk10_0))) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    mem(esk11_0,ty_2Einteger_2Eint),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_31,negated_conjecture,
    mem(esk9_0,ty_2Einteger_2Eint),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_32,negated_conjecture,
    mem(esk10_0,ty_2Einteger_2Eint),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_33,plain,
    ! [X96,X97] :
      ( ( ~ mem(X96,ty_2Einteger_2Eint)
        | ~ mem(X97,ty_2Einteger_2Eint)
        | p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,X96)),X97))
        | ~ p(ap(ap(c_2Einteger_2Eint__divides,X96),X97)) )
      & ( ~ mem(X96,ty_2Einteger_2Eint)
        | ~ mem(X97,ty_2Einteger_2Eint)
        | p(ap(ap(c_2Einteger_2Eint__divides,X96),X97))
        | ~ p(ap(ap(c_2Einteger_2Eint__divides,ap(c_2Einteger_2Eint__neg,X96)),X97)) )
      & ( ~ mem(X96,ty_2Einteger_2Eint)
        | ~ mem(X97,ty_2Einteger_2Eint)
        | p(ap(ap(c_2Einteger_2Eint__divides,X96),ap(c_2Einteger_2Eint__neg,X97)))
        | ~ p(ap(ap(c_2Einteger_2Eint__divides,X96),X97)) )
      & ( ~ mem(X96,ty_2Einteger_2Eint)
        | ~ mem(X97,ty_2Einteger_2Eint)
        | p(ap(ap(c_2Einteger_2Eint__divides,X96),X97))
        | ~ p(ap(ap(c_2Einteger_2Eint__divides,X96),ap(c_2Einteger_2Eint__neg,X97))) ) ),
    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_34,plain,
    ( ~ mem(X1,ty_2Einteger_2Eint)
    | ~ mem(X2,ty_2Einteger_2Eint)
    | ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),X2))
    | ap(ap(c_2Einteger_2Eint__divides,X1),X2) = c_2Ebool_2ET ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_35,negated_conjecture,
    p(ap(ap(c_2Einteger_2Eint__divides,esk9_0),esk10_0)),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ p(ap(ap(c_2Einteger_2Eint__divides,esk9_0),ap(c_2Einteger_2Eint__neg,esk10_0)))
    | p(ap(ap(c_2Einteger_2Eint__divides,esk9_0),esk11_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]),c_0_32])]) ).

cnf(c_0_37,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_33]) ).

cnf(c_0_38,negated_conjecture,
    ap(ap(c_2Einteger_2Eint__divides,esk9_0),esk10_0) = c_2Ebool_2ET,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_32]),c_0_31])]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ p(ap(ap(c_2Einteger_2Eint__divides,esk9_0),esk11_0))
    | ~ p(ap(ap(c_2Einteger_2Eint__divides,esk9_0),ap(ap(c_2Einteger_2Eint__sub,esk11_0),esk10_0))) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_40,negated_conjecture,
    p(ap(ap(c_2Einteger_2Eint__divides,esk9_0),esk11_0)),
    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_36,c_0_37]),c_0_38]),c_0_20]),c_0_32]),c_0_31])]) ).

cnf(c_0_41,plain,
    ( ~ mem(X1,ty_2Einteger_2Eint)
    | ~ mem(X3,ty_2Einteger_2Eint)
    | ~ mem(X2,ty_2Einteger_2Eint)
    | ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),X3))
    | ~ p(ap(ap(c_2Einteger_2Eint__divides,X1),X2))
    | p(ap(ap(c_2Einteger_2Eint__divides,X1),ap(ap(c_2Einteger_2Eint__add,X2),X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_42,negated_conjecture,
    ~ p(ap(ap(c_2Einteger_2Eint__divides,esk9_0),ap(ap(c_2Einteger_2Eint__sub,esk11_0),esk10_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]) ).

cnf(c_0_43,plain,
    ( ~ mem(X3,ty_2Einteger_2Eint)
    | ~ 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,X3)))
    | p(ap(ap(c_2Einteger_2Eint__divides,X1),ap(ap(c_2Einteger_2Eint__sub,X2),X3))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_23]),c_0_24]) ).

cnf(c_0_44,negated_conjecture,
    ap(ap(c_2Einteger_2Eint__divides,esk9_0),esk11_0) = c_2Ebool_2ET,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_40]),c_0_30]),c_0_31])]) ).

cnf(c_0_45,negated_conjecture,
    ~ p(ap(ap(c_2Einteger_2Eint__divides,esk9_0),ap(c_2Einteger_2Eint__neg,esk10_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_42,c_0_43]),c_0_44]),c_0_20]),c_0_30]),c_0_31]),c_0_32])]) ).

cnf(c_0_46,negated_conjecture,
    $false,
    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_45,c_0_37]),c_0_38]),c_0_20]),c_0_32]),c_0_31])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP012+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n007.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 20 21:43:50 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  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
% 1.87/0.72  % Version: 3.5.1
% 1.87/0.72  % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.87/0.72  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.87/0.72  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.87/0.72  % Starting new_bool_3 with 300s (1) cores
% 1.87/0.72  % Starting new_bool_1 with 300s (1) cores
% 1.87/0.72  % Starting sh5l with 300s (1) cores
% 1.87/0.72  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3617559 completed with status 0
% 1.87/0.72  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.87/0.72  % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.87/0.72  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.87/0.72  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.87/0.72  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.87/0.72  % No SInE strategy applied
% 1.87/0.72  % Search class: FGHSF-FSLM32-MFFFFFNN
% 1.87/0.72  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 1.87/0.72  % Starting SubtermCWHack with 151s (1) cores
% 1.87/0.72  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 901s (1) cores
% 1.87/0.72  % Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 151s (1) cores
% 1.87/0.72  % Starting G-E--_302_C18_F1_URBAN_S0Y with 151s (1) cores
% 1.87/0.72  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 146s (1) cores
% 1.87/0.72  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3617575 completed with status 0
% 1.87/0.72  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.87/0.72  % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.87/0.72  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.87/0.72  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.87/0.72  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.87/0.72  % No SInE strategy applied
% 1.87/0.72  % Search class: FGHSF-FSLM32-MFFFFFNN
% 1.87/0.72  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 1.87/0.72  % Starting SubtermCWHack with 151s (1) cores
% 1.87/0.72  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 901s (1) cores
% 1.87/0.72  % Preprocessing time       : 0.003 s
% 1.87/0.72  % Presaturation interreduction done
% 1.87/0.72  
% 1.87/0.72  % Proof found!
% 1.87/0.72  % SZS status Theorem
% 1.87/0.72  % SZS output start CNFRefutation
% See solution above
% 1.87/0.72  % Parsed axioms                        : 57
% 1.87/0.72  % Removed by relevancy pruning/SinE    : 0
% 1.87/0.72  % Initial clauses                      : 352
% 1.87/0.72  % Removed in clause preprocessing      : 249
% 1.87/0.72  % Initial clauses in saturation        : 103
% 1.87/0.72  % Processed clauses                    : 1207
% 1.87/0.72  % ...of these trivial                  : 4
% 1.87/0.72  % ...subsumed                          : 522
% 1.87/0.72  % ...remaining for further processing  : 681
% 1.87/0.72  % Other redundant clauses eliminated   : 1
% 1.87/0.72  % Clauses deleted for lack of memory   : 0
% 1.87/0.72  % Backward-subsumed                    : 22
% 1.87/0.72  % Backward-rewritten                   : 48
% 1.87/0.72  % Generated clauses                    : 6797
% 1.87/0.72  % ...of the previous two non-redundant : 6114
% 1.87/0.72  % ...aggressively subsumed             : 0
% 1.87/0.72  % Contextual simplify-reflections      : 13
% 1.87/0.72  % Paramodulations                      : 6781
% 1.87/0.72  % Factorizations                       : 12
% 1.87/0.72  % NegExts                              : 0
% 1.87/0.72  % Equation resolutions                 : 2
% 1.87/0.72  % Disequality decompositions           : 0
% 1.87/0.72  % Total rewrite steps                  : 4164
% 1.87/0.72  % ...of those cached                   : 4140
% 1.87/0.72  % Propositional unsat checks           : 0
% 1.87/0.72  %    Propositional check models        : 0
% 1.87/0.72  %    Propositional check unsatisfiable : 0
% 1.87/0.72  %    Propositional clauses             : 0
% 1.87/0.72  %    Propositional clauses after purity: 0
% 1.87/0.72  %    Propositional unsat core size     : 0
% 1.87/0.72  %    Propositional preprocessing time  : 0.000
% 1.87/0.72  %    Propositional encoding time       : 0.000
% 1.87/0.72  %    Propositional solver time         : 0.000
% 1.87/0.72  %    Success case prop preproc time    : 0.000
% 1.87/0.72  %    Success case prop encoding time   : 0.000
% 1.87/0.72  %    Success case prop solver time     : 0.000
% 1.87/0.72  % Current number of processed clauses  : 523
% 1.87/0.72  %    Positive orientable unit clauses  : 28
% 1.87/0.72  %    Positive unorientable unit clauses: 0
% 1.87/0.72  %    Negative unit clauses             : 4
% 1.87/0.72  %    Non-unit-clauses                  : 491
% 1.87/0.72  % Current number of unprocessed clauses: 4945
% 1.87/0.72  % ...number of literals in the above   : 32739
% 1.87/0.72  % Current number of archived formulas  : 0
% 1.87/0.72  % Current number of archived clauses   : 157
% 1.87/0.72  % Clause-clause subsumption calls (NU) : 28426
% 1.87/0.72  % Rec. Clause-clause subsumption calls : 5121
% 1.87/0.72  % Non-unit clause-clause subsumptions  : 346
% 1.87/0.72  % Unit Clause-clause subsumption calls : 421
% 1.87/0.72  % Rewrite failures with RHS unbound    : 0
% 1.87/0.72  % BW rewrite match attempts            : 19
% 1.87/0.72  % BW rewrite match successes           : 14
% 1.87/0.72  % Condensation attempts                : 0
% 1.87/0.72  % Condensation successes               : 0
% 1.87/0.72  % Termbank termtop insertions          : 214111
% 1.87/0.72  % Search garbage collected termcells   : 4095
% 1.87/0.72  
% 1.87/0.72  % -------------------------------------------------
% 1.87/0.72  % User time                : 0.245 s
% 1.87/0.72  % System time              : 0.022 s
% 1.87/0.72  % Total time               : 0.267 s
% 1.87/0.72  % Maximum resident set size: 4492 pages
% 1.87/0.72  
% 1.87/0.72  % -------------------------------------------------
% 1.87/0.72  % User time                : 1.089 s
% 1.87/0.72  % System time              : 0.081 s
% 1.87/0.72  % Total time               : 1.170 s
% 1.87/0.72  % Maximum resident set size: 4608 pages
% 1.87/0.72  % E exiting
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