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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SEV521+1 : TPTP v9.2.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 05:15:20 PM UTC 2026

% Result   : Theorem 41.68s 24.63s
% Output   : CNFRefutation 41.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   56 (  11 unt;   0 def)
%            Number of atoms       :  262 (  33 equ)
%            Maximal formula atoms :  105 (   4 avg)
%            Number of connectives :  299 (  93   ~; 162   |;  33   &)
%                                         (   4 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   39 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   2 con; 0-3 aty)
%            Number of variables   :   87 (   0 sgn  34   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(set_partitions_itself,conjecture,
    ! [X4] :
      ( X4 != empty_set
     => partition(singleton(X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_partitions_itself) ).

fof(partition,axiom,
    ! [X1,X4] :
      ( partition(X1,X4)
    <=> ( ! [X3] :
            ( member(X3,X1)
           => subset(X3,X4) )
        & ! [X3] :
            ( member(X3,X4)
           => ? [X5] :
                ( member(X5,X1)
                & member(X3,X5) ) )
        & ! [X3,X5] :
            ( ( member(X3,X1)
              & member(X5,X1) )
           => ( ? [X6] :
                  ( member(X6,X3)
                  & member(X6,X5) )
             => X3 = X5 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax',partition) ).

fof(singleton,axiom,
    ! [X3,X1] :
      ( member(X3,singleton(X1))
    <=> X3 = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',singleton) ).

fof(power_set,axiom,
    ! [X3,X1] :
      ( member(X3,power_set(X1))
    <=> subset(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',power_set) ).

fof(subset,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( member(X3,X1)
         => member(X3,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X4] :
        ( X4 != empty_set
       => partition(singleton(X4),X4) ),
    inference(assume_negation,[status(cth)],[set_partitions_itself]) ).

fof(c_0_6,negated_conjecture,
    ( esk19_0 != empty_set
    & ~ partition(singleton(esk19_0),esk19_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

fof(c_0_7,plain,
    ! [X121,X122,X123,X124,X126,X127,X128,X129,X130,X133] :
      ( ( ~ member(X123,X121)
        | subset(X123,X122)
        | ~ partition(X121,X122) )
      & ( member(esk5_3(X121,X122,X124),X121)
        | ~ member(X124,X122)
        | ~ partition(X121,X122) )
      & ( member(X124,esk5_3(X121,X122,X124))
        | ~ member(X124,X122)
        | ~ partition(X121,X122) )
      & ( ~ member(X126,X121)
        | ~ member(X127,X121)
        | ~ member(X128,X126)
        | ~ member(X128,X127)
        | X126 = X127
        | ~ partition(X121,X122) )
      & ( member(esk8_2(X129,X130),X129)
        | member(esk7_2(X129,X130),X130)
        | member(esk6_2(X129,X130),X129)
        | partition(X129,X130) )
      & ( member(esk9_2(X129,X130),X129)
        | member(esk7_2(X129,X130),X130)
        | member(esk6_2(X129,X130),X129)
        | partition(X129,X130) )
      & ( member(esk10_2(X129,X130),esk8_2(X129,X130))
        | member(esk7_2(X129,X130),X130)
        | member(esk6_2(X129,X130),X129)
        | partition(X129,X130) )
      & ( member(esk10_2(X129,X130),esk9_2(X129,X130))
        | member(esk7_2(X129,X130),X130)
        | member(esk6_2(X129,X130),X129)
        | partition(X129,X130) )
      & ( esk8_2(X129,X130) != esk9_2(X129,X130)
        | member(esk7_2(X129,X130),X130)
        | member(esk6_2(X129,X130),X129)
        | partition(X129,X130) )
      & ( member(esk8_2(X129,X130),X129)
        | ~ member(X133,X129)
        | ~ member(esk7_2(X129,X130),X133)
        | member(esk6_2(X129,X130),X129)
        | partition(X129,X130) )
      & ( member(esk9_2(X129,X130),X129)
        | ~ member(X133,X129)
        | ~ member(esk7_2(X129,X130),X133)
        | member(esk6_2(X129,X130),X129)
        | partition(X129,X130) )
      & ( member(esk10_2(X129,X130),esk8_2(X129,X130))
        | ~ member(X133,X129)
        | ~ member(esk7_2(X129,X130),X133)
        | member(esk6_2(X129,X130),X129)
        | partition(X129,X130) )
      & ( member(esk10_2(X129,X130),esk9_2(X129,X130))
        | ~ member(X133,X129)
        | ~ member(esk7_2(X129,X130),X133)
        | member(esk6_2(X129,X130),X129)
        | partition(X129,X130) )
      & ( esk8_2(X129,X130) != esk9_2(X129,X130)
        | ~ member(X133,X129)
        | ~ member(esk7_2(X129,X130),X133)
        | member(esk6_2(X129,X130),X129)
        | partition(X129,X130) )
      & ( member(esk8_2(X129,X130),X129)
        | member(esk7_2(X129,X130),X130)
        | ~ subset(esk6_2(X129,X130),X130)
        | partition(X129,X130) )
      & ( member(esk9_2(X129,X130),X129)
        | member(esk7_2(X129,X130),X130)
        | ~ subset(esk6_2(X129,X130),X130)
        | partition(X129,X130) )
      & ( member(esk10_2(X129,X130),esk8_2(X129,X130))
        | member(esk7_2(X129,X130),X130)
        | ~ subset(esk6_2(X129,X130),X130)
        | partition(X129,X130) )
      & ( member(esk10_2(X129,X130),esk9_2(X129,X130))
        | member(esk7_2(X129,X130),X130)
        | ~ subset(esk6_2(X129,X130),X130)
        | partition(X129,X130) )
      & ( esk8_2(X129,X130) != esk9_2(X129,X130)
        | member(esk7_2(X129,X130),X130)
        | ~ subset(esk6_2(X129,X130),X130)
        | partition(X129,X130) )
      & ( member(esk8_2(X129,X130),X129)
        | ~ member(X133,X129)
        | ~ member(esk7_2(X129,X130),X133)
        | ~ subset(esk6_2(X129,X130),X130)
        | partition(X129,X130) )
      & ( member(esk9_2(X129,X130),X129)
        | ~ member(X133,X129)
        | ~ member(esk7_2(X129,X130),X133)
        | ~ subset(esk6_2(X129,X130),X130)
        | partition(X129,X130) )
      & ( member(esk10_2(X129,X130),esk8_2(X129,X130))
        | ~ member(X133,X129)
        | ~ member(esk7_2(X129,X130),X133)
        | ~ subset(esk6_2(X129,X130),X130)
        | partition(X129,X130) )
      & ( member(esk10_2(X129,X130),esk9_2(X129,X130))
        | ~ member(X133,X129)
        | ~ member(esk7_2(X129,X130),X133)
        | ~ subset(esk6_2(X129,X130),X130)
        | partition(X129,X130) )
      & ( esk8_2(X129,X130) != esk9_2(X129,X130)
        | ~ member(X133,X129)
        | ~ member(esk7_2(X129,X130),X133)
        | ~ subset(esk6_2(X129,X130),X130)
        | partition(X129,X130) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[partition])])])])])]) ).

fof(c_0_8,plain,
    ! [X98,X99] :
      ( ( ~ member(X98,singleton(X99))
        | X98 = X99 )
      & ( X98 != X99
        | member(X98,singleton(X99)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[singleton])]) ).

cnf(c_0_9,negated_conjecture,
    ~ partition(singleton(esk19_0),esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( member(esk9_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X2)
    | member(esk6_2(X1,X2),X1)
    | partition(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( member(esk8_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X2)
    | member(esk6_2(X1,X2),X1)
    | partition(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( X1 = X2
    | ~ member(X1,singleton(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    ( member(esk9_2(singleton(esk19_0),esk19_0),singleton(esk19_0))
    | member(esk6_2(singleton(esk19_0),esk19_0),singleton(esk19_0))
    | member(esk7_2(singleton(esk19_0),esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    ( member(esk8_2(singleton(esk19_0),esk19_0),singleton(esk19_0))
    | member(esk6_2(singleton(esk19_0),esk19_0),singleton(esk19_0))
    | member(esk7_2(singleton(esk19_0),esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    ( esk9_2(singleton(esk19_0),esk19_0) = esk19_0
    | member(esk6_2(singleton(esk19_0),esk19_0),singleton(esk19_0))
    | member(esk7_2(singleton(esk19_0),esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,plain,
    ( member(X1,singleton(X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_17,negated_conjecture,
    ( esk8_2(singleton(esk19_0),esk19_0) = esk19_0
    | member(esk6_2(singleton(esk19_0),esk19_0),singleton(esk19_0))
    | member(esk7_2(singleton(esk19_0),esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_14]) ).

fof(c_0_18,plain,
    ! [X86,X87] :
      ( ( ~ member(X86,power_set(X87))
        | subset(X86,X87) )
      & ( ~ subset(X86,X87)
        | member(X86,power_set(X87)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[power_set])]) ).

fof(c_0_19,plain,
    ! [X78,X79,X80,X81,X82] :
      ( ( ~ subset(X78,X79)
        | ~ member(X80,X78)
        | member(X80,X79) )
      & ( member(esk1_2(X81,X82),X81)
        | subset(X81,X82) )
      & ( ~ member(esk1_2(X81,X82),X82)
        | subset(X81,X82) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[subset])])])])])]) ).

cnf(c_0_20,plain,
    ( member(esk9_2(X1,X2),X1)
    | member(esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(X3,X1)
    | ~ member(esk7_2(X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_21,negated_conjecture,
    ( esk9_2(singleton(esk19_0),esk19_0) = esk19_0
    | esk6_2(singleton(esk19_0),esk19_0) = esk19_0
    | member(esk7_2(singleton(esk19_0),esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_15]) ).

cnf(c_0_22,plain,
    member(X1,singleton(X1)),
    inference(er,[status(thm)],[c_0_16]) ).

cnf(c_0_23,plain,
    ( member(esk8_2(X1,X2),X1)
    | member(esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(X3,X1)
    | ~ member(esk7_2(X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_24,negated_conjecture,
    ( esk8_2(singleton(esk19_0),esk19_0) = esk19_0
    | esk6_2(singleton(esk19_0),esk19_0) = esk19_0
    | member(esk7_2(singleton(esk19_0),esk19_0),esk19_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_17]) ).

cnf(c_0_25,plain,
    ( member(X1,power_set(X2))
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,plain,
    ( member(esk1_2(X1,X2),X1)
    | subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_27,plain,
    ( member(esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | esk8_2(X1,X2) != esk9_2(X1,X2)
    | ~ member(X3,X1)
    | ~ member(esk7_2(X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_28,negated_conjecture,
    ( esk6_2(singleton(esk19_0),esk19_0) = esk19_0
    | esk9_2(singleton(esk19_0),esk19_0) = esk19_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]),c_0_9]),c_0_12]),c_0_12]) ).

cnf(c_0_29,negated_conjecture,
    ( esk6_2(singleton(esk19_0),esk19_0) = esk19_0
    | esk8_2(singleton(esk19_0),esk19_0) = esk19_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_22])]),c_0_9]),c_0_12]),c_0_12]) ).

cnf(c_0_30,plain,
    ( member(esk7_2(X1,X2),X2)
    | member(esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | esk8_2(X1,X2) != esk9_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_31,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_32,plain,
    ( member(esk1_2(X1,X2),X1)
    | member(X1,power_set(X2)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_33,negated_conjecture,
    ( esk6_2(singleton(esk19_0),esk19_0) = esk19_0
    | ~ member(esk7_2(singleton(esk19_0),esk19_0),X1)
    | ~ member(X1,singleton(esk19_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_9]),c_0_29]),c_0_12]) ).

cnf(c_0_34,negated_conjecture,
    ( esk6_2(singleton(esk19_0),esk19_0) = esk19_0
    | member(esk7_2(singleton(esk19_0),esk19_0),esk19_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_9]),c_0_29]),c_0_12]) ).

cnf(c_0_35,plain,
    ( subset(X1,X2)
    | ~ member(X1,power_set(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_36,plain,
    member(X1,power_set(X1)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_25]) ).

cnf(c_0_37,plain,
    ( member(esk9_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(X3,X1)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ subset(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_38,negated_conjecture,
    esk6_2(singleton(esk19_0),esk19_0) = esk19_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_22]),c_0_34]) ).

cnf(c_0_39,plain,
    subset(X1,X1),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,plain,
    ( member(esk9_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X2)
    | partition(X1,X2)
    | ~ subset(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_41,plain,
    ( member(esk8_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(X3,X1)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ subset(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_42,plain,
    ( member(esk8_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X2)
    | partition(X1,X2)
    | ~ subset(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_43,negated_conjecture,
    ( member(esk9_2(singleton(esk19_0),esk19_0),singleton(esk19_0))
    | ~ member(esk7_2(singleton(esk19_0),esk19_0),X1)
    | ~ member(X1,singleton(esk19_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]),c_0_9]) ).

cnf(c_0_44,negated_conjecture,
    ( member(esk9_2(singleton(esk19_0),esk19_0),singleton(esk19_0))
    | member(esk7_2(singleton(esk19_0),esk19_0),esk19_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_38]),c_0_39])]),c_0_9]) ).

cnf(c_0_45,negated_conjecture,
    ( member(esk8_2(singleton(esk19_0),esk19_0),singleton(esk19_0))
    | ~ member(esk7_2(singleton(esk19_0),esk19_0),X1)
    | ~ member(X1,singleton(esk19_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_38]),c_0_39])]),c_0_9]) ).

cnf(c_0_46,negated_conjecture,
    ( member(esk8_2(singleton(esk19_0),esk19_0),singleton(esk19_0))
    | member(esk7_2(singleton(esk19_0),esk19_0),esk19_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_38]),c_0_39])]),c_0_9]) ).

cnf(c_0_47,negated_conjecture,
    member(esk9_2(singleton(esk19_0),esk19_0),singleton(esk19_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_22]),c_0_44]) ).

cnf(c_0_48,negated_conjecture,
    member(esk8_2(singleton(esk19_0),esk19_0),singleton(esk19_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_22]),c_0_46]) ).

cnf(c_0_49,plain,
    ( partition(X1,X2)
    | esk8_2(X1,X2) != esk9_2(X1,X2)
    | ~ member(X3,X1)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ subset(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_50,negated_conjecture,
    esk9_2(singleton(esk19_0),esk19_0) = esk19_0,
    inference(spm,[status(thm)],[c_0_12,c_0_47]) ).

cnf(c_0_51,negated_conjecture,
    esk8_2(singleton(esk19_0),esk19_0) = esk19_0,
    inference(spm,[status(thm)],[c_0_12,c_0_48]) ).

cnf(c_0_52,plain,
    ( member(esk7_2(X1,X2),X2)
    | partition(X1,X2)
    | esk8_2(X1,X2) != esk9_2(X1,X2)
    | ~ subset(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ member(esk7_2(singleton(esk19_0),esk19_0),X1)
    | ~ member(X1,singleton(esk19_0)) ),
    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_49,c_0_50]),c_0_51]),c_0_38]),c_0_39])]),c_0_9]) ).

cnf(c_0_54,negated_conjecture,
    member(esk7_2(singleton(esk19_0),esk19_0),esk19_0),
    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_52,c_0_50]),c_0_51]),c_0_38]),c_0_39])]),c_0_9]) ).

cnf(c_0_55,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_22]),c_0_54])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SEV521+1 : TPTP v9.2.1. Released v7.3.0.
% 0.12/0.13  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.35  % Computer : n026.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit   : 300
% 0.17/0.35  % WCLimit    : 300
% 0.17/0.35  % DateTime   : Tue May  5 04:02:38 EDT 2026
% 0.17/0.35  % CPUTime    : 
% 0.17/0.36  % start to proof: theBenchmark
% 41.68/24.63  % Version  : CSE_E---1.7
% 41.68/24.63  % Problem  : theBenchmark.p
% 41.68/24.63  % SZS status Theorem for theBenchmark.p
% 41.68/24.63  % SZS output start CNFRefutation
% See solution above
% 41.88/24.80  % Total time : 18.444s
%------------------------------------------------------------------------------