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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SET018+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 02:13:06 PM UTC 2026

% Result   : Theorem 0.99s 0.82s
% Output   : CNFRefutation 1.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   71 (  26 unt;   0 def)
%            Number of atoms       :  162 ( 102 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  121 (  30   ~;  72   |;  14   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   59 (   7 sgn  30   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ordered_pair_determines_components2,conjecture,
    ! [X7,X1,X2,X5] :
      ( ( member(X1,universal_class)
        & ordered_pair(X7,X1) = ordered_pair(X2,X5) )
     => X1 = X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_determines_components2) ).

fof(ordered_pair_defn,axiom,
    ! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(singleton(X1),unordered_pair(X1,singleton(X2))),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',ordered_pair_defn) ).

fof(singleton_set_defn,axiom,
    ! [X1] : singleton(X1) = unordered_pair(X1,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).

fof(unordered_pair_defn,axiom,
    ! [X3,X1,X2] :
      ( member(X3,unordered_pair(X1,X2))
    <=> ( ( X3 = X2
          | X3 = X1 )
        & member(X3,universal_class) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',unordered_pair_defn) ).

fof(unordered_pair,axiom,
    ! [X1,X2] : member(unordered_pair(X1,X2),universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',unordered_pair) ).

fof(regularity,axiom,
    ! [X1] :
      ( X1 != null_class
     => ? [X3] :
          ( disjoint(X3,X1)
          & member(X3,X1)
          & member(X3,universal_class) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',regularity) ).

fof(null_class_defn,axiom,
    ! [X1] : ~ member(X1,null_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',null_class_defn) ).

fof(c_0_7,negated_conjecture,
    ~ ! [X7,X1,X2,X5] :
        ( ( member(X1,universal_class)
          & ordered_pair(X7,X1) = ordered_pair(X2,X5) )
       => X1 = X5 ),
    inference(assume_negation,[status(cth)],[ordered_pair_determines_components2]) ).

fof(c_0_8,plain,
    ! [X25,X26] : ordered_pair(X25,X26) = unordered_pair(singleton(X25),unordered_pair(X25,singleton(X26))),
    inference(variable_rename,[status(thm)],[ordered_pair_defn]) ).

fof(c_0_9,plain,
    ! [X24] : singleton(X24) = unordered_pair(X24,X24),
    inference(variable_rename,[status(thm)],[singleton_set_defn]) ).

fof(c_0_10,plain,
    ! [X19,X20,X21] :
      ( ( member(X19,unordered_pair(X20,X21))
        | ~ member(X19,universal_class)
        | X19 != X21 )
      & ( member(X19,unordered_pair(X20,X21))
        | ~ member(X19,universal_class)
        | X19 != X20 )
      & ( ~ member(X19,unordered_pair(X20,X21))
        | X19 = X21
        | X19 = X20 )
      & ( ~ member(X19,unordered_pair(X20,X21))
        | member(X19,universal_class) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unordered_pair_defn])])])]) ).

fof(c_0_11,negated_conjecture,
    ( esk9_0 != esk11_0
    & member(esk9_0,universal_class)
    & ordered_pair(esk8_0,esk9_0) = ordered_pair(esk10_0,esk11_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).

cnf(c_0_12,plain,
    ordered_pair(X1,X2) = unordered_pair(singleton(X1),unordered_pair(X1,singleton(X2))),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    singleton(X1) = unordered_pair(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    ( ~ member(X1,universal_class)
    | X1 != X2
    | member(X1,unordered_pair(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    ordered_pair(esk8_0,esk9_0) = ordered_pair(esk10_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_13]) ).

fof(c_0_17,plain,
    ! [X22,X23] : member(unordered_pair(X22,X23),universal_class),
    inference(variable_rename,[status(thm)],[unordered_pair]) ).

cnf(c_0_18,plain,
    ( ~ member(X1,universal_class)
    | member(X1,unordered_pair(X1,X2)) ),
    inference(er,[status(thm)],[c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    unordered_pair(unordered_pair(esk10_0,esk10_0),unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0))) = unordered_pair(unordered_pair(esk8_0,esk8_0),unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_16]) ).

cnf(c_0_20,plain,
    member(unordered_pair(X1,X2),universal_class),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_21,plain,
    ( ~ member(X1,universal_class)
    | X1 != X2
    | member(X1,unordered_pair(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_22,plain,
    ( ~ member(X1,unordered_pair(X2,X3))
    | X1 = X3
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_23,negated_conjecture,
    member(unordered_pair(esk8_0,esk8_0),unordered_pair(unordered_pair(esk10_0,esk10_0),unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).

cnf(c_0_24,plain,
    ( ~ member(X1,universal_class)
    | member(X1,unordered_pair(X2,X1)) ),
    inference(er,[status(thm)],[c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    ( unordered_pair(esk8_0,esk8_0) = unordered_pair(esk10_0,esk10_0)
    | unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)) = unordered_pair(esk8_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    ( member(unordered_pair(esk11_0,esk11_0),unordered_pair(esk8_0,esk8_0))
    | unordered_pair(esk8_0,esk8_0) = unordered_pair(esk10_0,esk10_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_20])]) ).

fof(c_0_27,plain,
    ! [X1] :
      ( X1 != null_class
     => ? [X3] :
          ( disjoint(X3,X1)
          & member(X3,X1)
          & member(X3,universal_class) ) ),
    inference(fof_simplification,[status(thm)],[regularity]) ).

cnf(c_0_28,negated_conjecture,
    ( unordered_pair(esk11_0,esk11_0) = esk8_0
    | unordered_pair(esk8_0,esk8_0) = unordered_pair(esk10_0,esk10_0) ),
    inference(spm,[status(thm)],[c_0_22,c_0_26]) ).

fof(c_0_29,plain,
    ! [X101] :
      ( ( X101 = null_class
        | disjoint(esk6_1(X101),X101) )
      & ( X101 = null_class
        | member(esk6_1(X101),X101) )
      & ( X101 = null_class
        | member(esk6_1(X101),universal_class) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ member(X1,unordered_pair(esk10_0,esk10_0))
    | X1 = esk8_0
    | unordered_pair(esk11_0,esk11_0) = esk8_0 ),
    inference(spm,[status(thm)],[c_0_22,c_0_28]) ).

cnf(c_0_31,plain,
    ( X1 = null_class
    | member(esk6_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_32,negated_conjecture,
    ( unordered_pair(esk11_0,esk11_0) = esk8_0
    | unordered_pair(esk10_0,esk10_0) = null_class
    | esk6_1(unordered_pair(esk10_0,esk10_0)) = esk8_0 ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_33,negated_conjecture,
    member(unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0)),unordered_pair(unordered_pair(esk10_0,esk10_0),unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_19]),c_0_20])]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ member(X1,unordered_pair(unordered_pair(esk10_0,esk10_0),unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0))))
    | X1 = unordered_pair(esk8_0,esk8_0)
    | X1 = unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0)) ),
    inference(spm,[status(thm)],[c_0_22,c_0_19]) ).

cnf(c_0_35,negated_conjecture,
    ( member(esk8_0,unordered_pair(esk10_0,esk10_0))
    | unordered_pair(esk10_0,esk10_0) = null_class
    | unordered_pair(esk11_0,esk11_0) = esk8_0 ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_36,negated_conjecture,
    ( unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0)) = unordered_pair(esk10_0,esk10_0)
    | unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0)) = unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)) ),
    inference(spm,[status(thm)],[c_0_22,c_0_33]) ).

cnf(c_0_37,negated_conjecture,
    ( unordered_pair(esk8_0,esk8_0) = unordered_pair(esk10_0,esk10_0)
    | unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0)) = unordered_pair(esk10_0,esk10_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_18]),c_0_20])]) ).

cnf(c_0_38,negated_conjecture,
    ( esk8_0 = esk10_0
    | unordered_pair(esk11_0,esk11_0) = esk8_0
    | unordered_pair(esk10_0,esk10_0) = null_class ),
    inference(spm,[status(thm)],[c_0_22,c_0_35]) ).

cnf(c_0_39,negated_conjecture,
    ( member(unordered_pair(esk9_0,esk9_0),unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)))
    | unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0)) = unordered_pair(esk10_0,esk10_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_36]),c_0_20])]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ member(X1,unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)))
    | X1 = esk8_0
    | X1 = unordered_pair(esk9_0,esk9_0)
    | unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0)) = unordered_pair(esk10_0,esk10_0) ),
    inference(spm,[status(thm)],[c_0_22,c_0_36]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ member(esk8_0,universal_class)
    | member(esk8_0,unordered_pair(esk10_0,esk10_0))
    | unordered_pair(esk8_0,esk8_0) = unordered_pair(esk10_0,esk10_0) ),
    inference(spm,[status(thm)],[c_0_18,c_0_37]) ).

cnf(c_0_42,negated_conjecture,
    ( member(esk8_0,universal_class)
    | esk8_0 = esk10_0
    | unordered_pair(esk10_0,esk10_0) = null_class ),
    inference(spm,[status(thm)],[c_0_20,c_0_38]) ).

cnf(c_0_43,negated_conjecture,
    ( unordered_pair(esk9_0,esk9_0) = esk10_0
    | unordered_pair(esk11_0,esk11_0) = unordered_pair(esk9_0,esk9_0)
    | unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0)) = unordered_pair(esk10_0,esk10_0) ),
    inference(spm,[status(thm)],[c_0_22,c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    ( unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)) = unordered_pair(esk8_0,esk8_0)
    | unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0)) = unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_24]),c_0_20])]) ).

cnf(c_0_45,negated_conjecture,
    ( unordered_pair(esk11_0,esk11_0) = esk8_0
    | unordered_pair(esk11_0,esk11_0) = unordered_pair(esk9_0,esk9_0)
    | unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0)) = unordered_pair(esk10_0,esk10_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_24]),c_0_20])]) ).

cnf(c_0_46,negated_conjecture,
    ( member(esk8_0,unordered_pair(esk10_0,esk10_0))
    | esk8_0 = esk10_0
    | unordered_pair(esk10_0,esk10_0) = null_class
    | unordered_pair(esk8_0,esk8_0) = unordered_pair(esk10_0,esk10_0) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    ( member(unordered_pair(esk9_0,esk9_0),unordered_pair(esk10_0,esk10_0))
    | unordered_pair(esk9_0,esk9_0) = esk10_0
    | unordered_pair(esk11_0,esk11_0) = unordered_pair(esk9_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_43]),c_0_20])]) ).

cnf(c_0_48,negated_conjecture,
    ( unordered_pair(esk11_0,esk11_0) = esk8_0
    | unordered_pair(esk11_0,esk11_0) = unordered_pair(esk9_0,esk9_0)
    | unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)) = unordered_pair(esk10_0,esk10_0)
    | unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)) = unordered_pair(esk8_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_49,negated_conjecture,
    ( esk8_0 = esk10_0
    | unordered_pair(esk10_0,esk10_0) = null_class
    | unordered_pair(esk8_0,esk8_0) = unordered_pair(esk10_0,esk10_0) ),
    inference(spm,[status(thm)],[c_0_22,c_0_46]) ).

fof(c_0_50,plain,
    ! [X1] : ~ member(X1,null_class),
    inference(fof_simplification,[status(thm)],[null_class_defn]) ).

cnf(c_0_51,negated_conjecture,
    ( unordered_pair(esk9_0,esk9_0) = esk10_0
    | unordered_pair(esk11_0,esk11_0) = unordered_pair(esk9_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_22,c_0_47]) ).

cnf(c_0_52,negated_conjecture,
    ( unordered_pair(esk11_0,esk11_0) = esk8_0
    | unordered_pair(esk11_0,esk11_0) = unordered_pair(esk9_0,esk9_0)
    | unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)) = unordered_pair(esk10_0,esk10_0) ),
    inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_48]),c_0_28]) ).

cnf(c_0_53,negated_conjecture,
    ( member(esk8_0,unordered_pair(esk10_0,esk10_0))
    | esk8_0 = esk10_0
    | unordered_pair(esk10_0,esk10_0) = null_class ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_49]),c_0_42]) ).

fof(c_0_54,plain,
    ! [X46] : ~ member(X46,null_class),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_50])]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ member(X1,unordered_pair(esk9_0,esk9_0))
    | X1 = esk11_0
    | unordered_pair(esk9_0,esk9_0) = esk10_0 ),
    inference(spm,[status(thm)],[c_0_22,c_0_51]) ).

cnf(c_0_56,negated_conjecture,
    member(esk9_0,universal_class),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_57,negated_conjecture,
    esk9_0 != esk11_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_58,negated_conjecture,
    ( member(unordered_pair(esk11_0,esk11_0),unordered_pair(esk10_0,esk10_0))
    | unordered_pair(esk11_0,esk11_0) = esk8_0
    | unordered_pair(esk11_0,esk11_0) = unordered_pair(esk9_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_52]),c_0_20])]) ).

cnf(c_0_59,negated_conjecture,
    ( esk8_0 = esk10_0
    | unordered_pair(esk10_0,esk10_0) = null_class ),
    inference(spm,[status(thm)],[c_0_22,c_0_53]) ).

cnf(c_0_60,plain,
    ~ member(X1,null_class),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_61,negated_conjecture,
    unordered_pair(esk9_0,esk9_0) = esk10_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_24]),c_0_56])]),c_0_57]) ).

cnf(c_0_62,negated_conjecture,
    ( unordered_pair(esk11_0,esk11_0) = esk8_0
    | unordered_pair(esk11_0,esk11_0) = unordered_pair(esk9_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_30,c_0_58]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ member(esk10_0,universal_class)
    | esk8_0 = esk10_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_59]),c_0_60]) ).

cnf(c_0_64,negated_conjecture,
    member(esk10_0,universal_class),
    inference(spm,[status(thm)],[c_0_20,c_0_61]) ).

cnf(c_0_65,negated_conjecture,
    ( unordered_pair(esk9_0,esk9_0) != esk8_0
    | unordered_pair(esk11_0,esk11_0) = esk8_0 ),
    inference(ef,[status(thm)],[c_0_62]) ).

cnf(c_0_66,negated_conjecture,
    esk8_0 = esk10_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64])]) ).

cnf(c_0_67,negated_conjecture,
    unordered_pair(esk11_0,esk11_0) = esk10_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_61]),c_0_66]),c_0_66])]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ member(X1,esk10_0)
    | X1 = esk11_0 ),
    inference(spm,[status(thm)],[c_0_22,c_0_67]) ).

cnf(c_0_69,negated_conjecture,
    member(esk9_0,esk10_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_61]),c_0_56])]) ).

cnf(c_0_70,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_57]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SET018+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.50  % Computer : n013.cluster.edu
% 0.20/0.50  % Model    : x86_64 x86_64
% 0.20/0.50  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.50  % Memory   : 8046.5625MB
% 0.20/0.50  % OS       : Linux 6.8.0-71-generic
% 0.20/0.50  % CPULimit : 300
% 0.20/0.50  % WCLimit  : 300
% 0.20/0.50  % DateTime : Mon Sep 21 04:42:21 UTC 2026
% 0.20/0.51  % CPUTime  : 
% 0.20/0.51  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.59  Running first-order theorem proving
% 0.24/0.59  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
% 0.99/0.82  % Version: 3.5.1
% 0.99/0.82  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.99/0.82  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.99/0.82  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.99/0.82  % Starting new_bool_3 with 300s (1) cores
% 0.99/0.82  % Starting new_bool_1 with 300s (1) cores
% 0.99/0.82  % Starting sh5l with 300s (1) cores
% 0.99/0.82  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4157145 completed with status 0
% 0.99/0.82  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.99/0.82  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.99/0.82  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.99/0.82  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.99/0.82  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.99/0.82  % No SInE strategy applied
% 0.99/0.82  % Search class: FGHSM-FFMM21-DFFFFFNN
% 0.99/0.82  % partial match(1): FGHSM-FFMM21-SFFFFFNN
% 0.99/0.82  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.99/0.82  % Starting SubtermCWHack with 136s (1) cores
% 0.99/0.82  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.99/0.82  % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 0.99/0.82  % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.99/0.82  % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 136s (1) cores
% 0.99/0.82  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4157155 completed with status 0
% 0.99/0.82  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.99/0.82  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.99/0.82  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.99/0.82  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.99/0.82  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.99/0.82  % No SInE strategy applied
% 0.99/0.82  % Search class: FGHSM-FFMM21-DFFFFFNN
% 0.99/0.82  % partial match(1): FGHSM-FFMM21-SFFFFFNN
% 0.99/0.82  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.99/0.82  % Starting SubtermCWHack with 136s (1) cores
% 0.99/0.82  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.99/0.82  % Preprocessing time       : 0.004 s
% 0.99/0.82  % Presaturation interreduction done
% 0.99/0.82  
% 0.99/0.82  % Proof found!
% 0.99/0.82  % SZS status Theorem
% 0.99/0.82  % SZS output start CNFRefutation
% See solution above
% 1.21/0.82  % Parsed axioms                        : 44
% 1.21/0.82  % Removed by relevancy pruning/SinE    : 0
% 1.21/0.82  % Initial clauses                      : 92
% 1.21/0.82  % Removed in clause preprocessing      : 8
% 1.21/0.82  % Initial clauses in saturation        : 84
% 1.21/0.82  % Processed clauses                    : 1087
% 1.21/0.82  % ...of these trivial                  : 21
% 1.21/0.82  % ...subsumed                          : 474
% 1.21/0.82  % ...remaining for further processing  : 592
% 1.21/0.82  % Other redundant clauses eliminated   : 14
% 1.21/0.82  % Clauses deleted for lack of memory   : 0
% 1.21/0.82  % Backward-subsumed                    : 63
% 1.21/0.82  % Backward-rewritten                   : 160
% 1.21/0.82  % Generated clauses                    : 6151
% 1.21/0.82  % ...of the previous two non-redundant : 5860
% 1.21/0.82  % ...aggressively subsumed             : 0
% 1.21/0.82  % Contextual simplify-reflections      : 6
% 1.21/0.82  % Paramodulations                      : 6115
% 1.21/0.82  % Factorizations                       : 22
% 1.21/0.82  % NegExts                              : 0
% 1.21/0.82  % Equation resolutions                 : 14
% 1.21/0.82  % Disequality decompositions           : 0
% 1.21/0.82  % Total rewrite steps                  : 1400
% 1.21/0.82  % ...of those cached                   : 1329
% 1.21/0.82  % Propositional unsat checks           : 0
% 1.21/0.82  %    Propositional check models        : 0
% 1.21/0.82  %    Propositional check unsatisfiable : 0
% 1.21/0.82  %    Propositional clauses             : 0
% 1.21/0.82  %    Propositional clauses after purity: 0
% 1.21/0.82  %    Propositional unsat core size     : 0
% 1.21/0.82  %    Propositional preprocessing time  : 0.000
% 1.21/0.82  %    Propositional encoding time       : 0.000
% 1.21/0.82  %    Propositional solver time         : 0.000
% 1.21/0.82  %    Success case prop preproc time    : 0.000
% 1.21/0.82  %    Success case prop encoding time   : 0.000
% 1.21/0.82  %    Success case prop solver time     : 0.000
% 1.21/0.82  % Current number of processed clauses  : 280
% 1.21/0.82  %    Positive orientable unit clauses  : 49
% 1.21/0.82  %    Positive unorientable unit clauses: 0
% 1.21/0.82  %    Negative unit clauses             : 8
% 1.21/0.82  %    Non-unit-clauses                  : 223
% 1.21/0.82  % Current number of unprocessed clauses: 4867
% 1.21/0.82  % ...number of literals in the above   : 16295
% 1.21/0.82  % Current number of archived formulas  : 0
% 1.21/0.82  % Current number of archived clauses   : 314
% 1.21/0.82  % Clause-clause subsumption calls (NU) : 17791
% 1.21/0.82  % Rec. Clause-clause subsumption calls : 13792
% 1.21/0.82  % Non-unit clause-clause subsumptions  : 385
% 1.21/0.82  % Unit Clause-clause subsumption calls : 1130
% 1.21/0.82  % Rewrite failures with RHS unbound    : 0
% 1.21/0.82  % BW rewrite match attempts            : 23
% 1.21/0.82  % BW rewrite match successes           : 11
% 1.21/0.82  % Condensation attempts                : 0
% 1.21/0.82  % Condensation successes               : 0
% 1.21/0.82  % Termbank termtop insertions          : 117783
% 1.21/0.82  % Search garbage collected termcells   : 997
% 1.21/0.82  
% 1.21/0.82  % -------------------------------------------------
% 1.21/0.82  % User time                : 0.143 s
% 1.21/0.82  % System time              : 0.015 s
% 1.21/0.82  % Total time               : 0.158 s
% 1.21/0.82  % Maximum resident set size: 3692 pages
% 1.21/0.82  
% 1.21/0.82  % -------------------------------------------------
% 1.21/0.82  % User time                : 0.420 s
% 1.21/0.82  % System time              : 0.054 s
% 1.21/0.82  % Total time               : 0.475 s
% 1.21/0.82  % Maximum resident set size: 4608 pages
% 1.21/0.82  % E exiting
%------------------------------------------------------------------------------