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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SET675+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/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 02:14:57 PM UTC 2026

% Result   : Theorem 0.11s 0.47s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   60 (   9 unt;   0 def)
%            Number of atoms       :  194 (  50 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  231 (  97   ~;  88   |;  12   &)
%                                         (   1 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   5 con; 0-4 aty)
%            Number of variables   :  123 (   5 sgn  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(p29,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X1,X2))
             => range(X1,X2,X3) = range_of(X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29) ).

fof(p35,axiom,
    ! [X1] : ilf_type(X1,set_type),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p35) ).

fof(prove_relset_1_39,conjecture,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X2,X1))
             => ( inverse4(X2,X1,X3,image4(X2,X1,X3,X2)) = domain(X2,X1,X3)
                & image4(X2,X1,X3,inverse4(X2,X1,X3,X1)) = range(X2,X1,X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_39) ).

fof(p27,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X1,X2))
             => domain(X1,X2,X3) = domain_of(X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27) ).

fof(p3,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X1,X2))
             => ( inverse4(X1,X2,X3,X2) = domain(X1,X2,X3)
                & image4(X1,X2,X3,X1) = range(X1,X2,X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).

fof(p33,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X1,X2))
             => ! [X4] :
                  ( ilf_type(X4,set_type)
                 => inverse4(X1,X2,X3,X4) = inverse2(X3,X4) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33) ).

fof(p31,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X1,X2))
             => ! [X4] :
                  ( ilf_type(X4,set_type)
                 => image4(X1,X2,X3,X4) = image(X3,X4) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31) ).

fof(p23,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,subset_type(cross_product(X1,X2)))
             => relation_like(X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23) ).

fof(p4,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( ! [X4] :
                ( ilf_type(X4,relation_type(X1,X2))
               => ilf_type(X4,subset_type(cross_product(X1,X2))) )
            & ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X1,X2)))
               => ilf_type(X3,relation_type(X1,X2)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).

fof(p12,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( ilf_type(X1,binary_relation_type)
      <=> ( ilf_type(X1,set_type)
          & relation_like(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12) ).

fof(p2,axiom,
    ! [X1] :
      ( ilf_type(X1,binary_relation_type)
     => inverse2(X1,range_of(X1)) = domain_of(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).

fof(p1,axiom,
    ! [X1] :
      ( ilf_type(X1,binary_relation_type)
     => image(X1,domain_of(X1)) = range_of(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).

fof(c_0_12,plain,
    ! [X69,X70,X71] :
      ( range(X69,X70,X71) = range_of(X71)
      | ~ ilf_type(X71,relation_type(X69,X70))
      | ~ ilf_type(X70,set_type)
      | ~ ilf_type(X69,set_type) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p29])])])]) ).

fof(c_0_13,plain,
    ! [X91] : ilf_type(X91,set_type),
    inference(variable_rename,[status(thm)],[p35]) ).

fof(c_0_14,negated_conjecture,
    ~ ! [X1] :
        ( ilf_type(X1,set_type)
       => ! [X2] :
            ( ilf_type(X2,set_type)
           => ! [X3] :
                ( ilf_type(X3,relation_type(X2,X1))
               => ( inverse4(X2,X1,X3,image4(X2,X1,X3,X2)) = domain(X2,X1,X3)
                  & image4(X2,X1,X3,inverse4(X2,X1,X3,X1)) = range(X2,X1,X3) ) ) ) ),
    inference(assume_negation,[status(cth)],[prove_relset_1_39]) ).

fof(c_0_15,plain,
    ! [X63,X64,X65] :
      ( domain(X63,X64,X65) = domain_of(X65)
      | ~ ilf_type(X65,relation_type(X63,X64))
      | ~ ilf_type(X64,set_type)
      | ~ ilf_type(X63,set_type) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p27])])])]) ).

cnf(c_0_16,plain,
    ( ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | range(X1,X2,X3) = range_of(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    ilf_type(X1,set_type),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_18,negated_conjecture,
    ( ( inverse4(esk12_0,esk11_0,esk13_0,image4(esk12_0,esk11_0,esk13_0,esk12_0)) != domain(esk12_0,esk11_0,esk13_0)
      | image4(esk12_0,esk11_0,esk13_0,inverse4(esk12_0,esk11_0,esk13_0,esk11_0)) != range(esk12_0,esk11_0,esk13_0) )
    & ilf_type(esk13_0,relation_type(esk12_0,esk11_0))
    & ilf_type(esk12_0,set_type)
    & ilf_type(esk11_0,set_type) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).

cnf(c_0_19,plain,
    ( ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | domain(X1,X2,X3) = domain_of(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,plain,
    ( ~ ilf_type(X3,relation_type(X1,X2))
    | range(X1,X2,X3) = range_of(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_17])]) ).

cnf(c_0_21,negated_conjecture,
    ilf_type(esk13_0,relation_type(esk12_0,esk11_0)),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_22,plain,
    ( ~ ilf_type(X3,relation_type(X1,X2))
    | domain(X1,X2,X3) = domain_of(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_17]),c_0_17])]) ).

fof(c_0_23,plain,
    ! [X7,X8,X9] :
      ( ( ~ ilf_type(X7,set_type)
        | ~ ilf_type(X8,set_type)
        | ~ ilf_type(X9,relation_type(X7,X8))
        | inverse4(X7,X8,X9,X8) = domain(X7,X8,X9) )
      & ( ~ ilf_type(X7,set_type)
        | ~ ilf_type(X8,set_type)
        | ~ ilf_type(X9,relation_type(X7,X8))
        | image4(X7,X8,X9,X7) = range(X7,X8,X9) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p3])])])])]) ).

cnf(c_0_24,negated_conjecture,
    ( inverse4(esk12_0,esk11_0,esk13_0,image4(esk12_0,esk11_0,esk13_0,esk12_0)) != domain(esk12_0,esk11_0,esk13_0)
    | image4(esk12_0,esk11_0,esk13_0,inverse4(esk12_0,esk11_0,esk13_0,esk11_0)) != range(esk12_0,esk11_0,esk13_0) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    range(esk12_0,esk11_0,esk13_0) = range_of(esk13_0),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    domain(esk12_0,esk11_0,esk13_0) = domain_of(esk13_0),
    inference(spm,[status(thm)],[c_0_22,c_0_21]) ).

cnf(c_0_27,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | image4(X1,X2,X3,X1) = range(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_28,negated_conjecture,
    ( inverse4(esk12_0,esk11_0,esk13_0,image4(esk12_0,esk11_0,esk13_0,esk12_0)) != domain_of(esk13_0)
    | image4(esk12_0,esk11_0,esk13_0,inverse4(esk12_0,esk11_0,esk13_0,esk11_0)) != range_of(esk13_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).

cnf(c_0_29,plain,
    ( ~ ilf_type(X3,relation_type(X1,X2))
    | image4(X1,X2,X3,X1) = range(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_17]),c_0_17])]) ).

cnf(c_0_30,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | inverse4(X1,X2,X3,X2) = domain(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_31,plain,
    ! [X83,X84,X85,X86] :
      ( inverse4(X83,X84,X85,X86) = inverse2(X85,X86)
      | ~ ilf_type(X86,set_type)
      | ~ ilf_type(X85,relation_type(X83,X84))
      | ~ ilf_type(X84,set_type)
      | ~ ilf_type(X83,set_type) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p33])])])]) ).

cnf(c_0_32,negated_conjecture,
    ( inverse4(esk12_0,esk11_0,esk13_0,range_of(esk13_0)) != domain_of(esk13_0)
    | image4(esk12_0,esk11_0,esk13_0,inverse4(esk12_0,esk11_0,esk13_0,esk11_0)) != range_of(esk13_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_25]),c_0_21])]) ).

cnf(c_0_33,plain,
    ( ~ ilf_type(X3,relation_type(X1,X2))
    | inverse4(X1,X2,X3,X2) = domain(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_17]),c_0_17])]) ).

cnf(c_0_34,plain,
    ( ~ ilf_type(X4,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | inverse4(X1,X2,X3,X4) = inverse2(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_35,plain,
    ! [X75,X76,X77,X78] :
      ( image4(X75,X76,X77,X78) = image(X77,X78)
      | ~ ilf_type(X78,set_type)
      | ~ ilf_type(X77,relation_type(X75,X76))
      | ~ ilf_type(X76,set_type)
      | ~ ilf_type(X75,set_type) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p31])])])]) ).

fof(c_0_36,plain,
    ! [X54,X55,X56] :
      ( relation_like(X56)
      | ~ ilf_type(X56,subset_type(cross_product(X54,X55)))
      | ~ ilf_type(X55,set_type)
      | ~ ilf_type(X54,set_type) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p23])])])]) ).

fof(c_0_37,plain,
    ! [X10,X11,X12,X13] :
      ( ( ~ ilf_type(X10,set_type)
        | ~ ilf_type(X11,set_type)
        | ilf_type(X13,subset_type(cross_product(X10,X11)))
        | ~ ilf_type(X13,relation_type(X10,X11)) )
      & ( ~ ilf_type(X10,set_type)
        | ~ ilf_type(X11,set_type)
        | ilf_type(X12,relation_type(X10,X11))
        | ~ ilf_type(X12,subset_type(cross_product(X10,X11))) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p4])])])])]) ).

cnf(c_0_38,negated_conjecture,
    ( inverse4(esk12_0,esk11_0,esk13_0,range_of(esk13_0)) != domain_of(esk13_0)
    | image4(esk12_0,esk11_0,esk13_0,domain_of(esk13_0)) != range_of(esk13_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_26]),c_0_21])]) ).

cnf(c_0_39,plain,
    ( ~ ilf_type(X3,relation_type(X1,X2))
    | inverse4(X1,X2,X3,X4) = inverse2(X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_17]),c_0_17]),c_0_17])]) ).

cnf(c_0_40,plain,
    ( ~ ilf_type(X4,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | image4(X1,X2,X3,X4) = image(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_41,plain,
    ! [X27] :
      ( ( ~ ilf_type(X27,set_type)
        | ilf_type(X27,binary_relation_type)
        | ~ ilf_type(X27,set_type)
        | ~ relation_like(X27) )
      & ( ~ ilf_type(X27,set_type)
        | ~ ilf_type(X27,binary_relation_type)
        | ilf_type(X27,set_type) )
      & ( ~ ilf_type(X27,set_type)
        | ~ ilf_type(X27,binary_relation_type)
        | relation_like(X27) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p12])])])]) ).

cnf(c_0_42,plain,
    ( ~ ilf_type(X3,subset_type(cross_product(X1,X2)))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | relation_like(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_43,plain,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X1,relation_type(X2,X3))
    | ilf_type(X1,subset_type(cross_product(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_44,negated_conjecture,
    ( inverse2(esk13_0,range_of(esk13_0)) != domain_of(esk13_0)
    | image4(esk12_0,esk11_0,esk13_0,domain_of(esk13_0)) != range_of(esk13_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_21])]) ).

cnf(c_0_45,plain,
    ( ~ ilf_type(X3,relation_type(X1,X2))
    | image4(X1,X2,X3,X4) = image(X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_17]),c_0_17]),c_0_17])]) ).

fof(c_0_46,plain,
    ! [X6] :
      ( inverse2(X6,range_of(X6)) = domain_of(X6)
      | ~ ilf_type(X6,binary_relation_type) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])])]) ).

fof(c_0_47,plain,
    ! [X5] :
      ( image(X5,domain_of(X5)) = range_of(X5)
      | ~ ilf_type(X5,binary_relation_type) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])]) ).

cnf(c_0_48,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ relation_like(X1)
    | ilf_type(X1,binary_relation_type) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_49,plain,
    ( ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
    | relation_like(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_17]),c_0_17])]) ).

cnf(c_0_50,plain,
    ( ~ ilf_type(X1,relation_type(X2,X3))
    | ilf_type(X1,subset_type(cross_product(X2,X3))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_17]),c_0_17])]) ).

cnf(c_0_51,negated_conjecture,
    ( inverse2(esk13_0,range_of(esk13_0)) != domain_of(esk13_0)
    | image(esk13_0,domain_of(esk13_0)) != range_of(esk13_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_21])]) ).

cnf(c_0_52,plain,
    ( ~ ilf_type(X1,binary_relation_type)
    | inverse2(X1,range_of(X1)) = domain_of(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_53,plain,
    ( ~ ilf_type(X1,binary_relation_type)
    | image(X1,domain_of(X1)) = range_of(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_54,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ relation_like(X1)
    | ilf_type(X1,binary_relation_type) ),
    inference(cn,[status(thm)],[c_0_48]) ).

cnf(c_0_55,plain,
    ( ~ ilf_type(X1,relation_type(X2,X3))
    | relation_like(X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_56,negated_conjecture,
    ~ ilf_type(esk13_0,binary_relation_type),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).

cnf(c_0_57,plain,
    ( ~ relation_like(X1)
    | ilf_type(X1,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_17])]) ).

cnf(c_0_58,negated_conjecture,
    relation_like(esk13_0),
    inference(spm,[status(thm)],[c_0_55,c_0_21]) ).

cnf(c_0_59,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET675+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n007.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Mon Sep 21 05:29:50 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43  Running first-order theorem proving
% 0.11/0.43  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
% 0.11/0.47  % Version: 3.5.1
% 0.11/0.47  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.11/0.47  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.47  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.11/0.47  % Starting new_bool_3 with 300s (1) cores
% 0.11/0.47  % Starting new_bool_1 with 300s (1) cores
% 0.11/0.47  % Starting sh5l with 300s (1) cores
% 0.11/0.47  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 271241 completed with status 0
% 0.11/0.47  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.11/0.47  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.11/0.47  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.47  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.11/0.47  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.47  % No SInE strategy applied
% 0.11/0.47  % Search class: FGHSF-FFMS31-SFFFFFNN
% 0.11/0.47  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.47  % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.47  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.11/0.47  % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with 209s (1) cores
% 0.11/0.47  % Starting new_bool_3 with 189s (1) cores
% 0.11/0.47  % Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.11/0.47  % G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with pid 271252 completed with status 0
% 0.11/0.47  % Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S0Y
% 0.11/0.47  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.11/0.47  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.47  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.11/0.47  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.47  % No SInE strategy applied
% 0.11/0.47  % Search class: FGHSF-FFMS31-SFFFFFNN
% 0.11/0.47  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.47  % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.47  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.11/0.47  % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S0Y with 209s (1) cores
% 0.11/0.47  % Preprocessing time       : 0.002 s
% 0.11/0.47  
% 0.11/0.47  % Proof found!
% 0.11/0.47  % SZS status Theorem
% 0.11/0.47  % SZS output start CNFRefutation
% See solution above
% 0.11/0.47  % Parsed axioms                        : 36
% 0.11/0.47  % Removed by relevancy pruning/SinE    : 0
% 0.11/0.47  % Initial clauses                      : 61
% 0.11/0.47  % Removed in clause preprocessing      : 1
% 0.11/0.47  % Initial clauses in saturation        : 60
% 0.11/0.47  % Processed clauses                    : 133
% 0.11/0.47  % ...of these trivial                  : 13
% 0.11/0.47  % ...subsumed                          : 12
% 0.11/0.47  % ...remaining for further processing  : 108
% 0.11/0.47  % Other redundant clauses eliminated   : 3
% 0.11/0.47  % Clauses deleted for lack of memory   : 0
% 0.11/0.47  % Backward-subsumed                    : 0
% 0.11/0.47  % Backward-rewritten                   : 3
% 0.11/0.47  % Generated clauses                    : 161
% 0.11/0.47  % ...of the previous two non-redundant : 147
% 0.11/0.47  % ...aggressively subsumed             : 0
% 0.11/0.47  % Contextual simplify-reflections      : 2
% 0.11/0.47  % Paramodulations                      : 158
% 0.11/0.47  % Factorizations                       : 0
% 0.11/0.47  % NegExts                              : 0
% 0.11/0.47  % Equation resolutions                 : 3
% 0.11/0.47  % Disequality decompositions           : 0
% 0.11/0.47  % Total rewrite steps                  : 156
% 0.11/0.47  % ...of those cached                   : 131
% 0.11/0.47  % Propositional unsat checks           : 0
% 0.11/0.47  %    Propositional check models        : 0
% 0.11/0.47  %    Propositional check unsatisfiable : 0
% 0.11/0.47  %    Propositional clauses             : 0
% 0.11/0.47  %    Propositional clauses after purity: 0
% 0.11/0.47  %    Propositional unsat core size     : 0
% 0.11/0.47  %    Propositional preprocessing time  : 0.000
% 0.11/0.47  %    Propositional encoding time       : 0.000
% 0.11/0.47  %    Propositional solver time         : 0.000
% 0.11/0.47  %    Success case prop preproc time    : 0.000
% 0.11/0.47  %    Success case prop encoding time   : 0.000
% 0.11/0.47  %    Success case prop solver time     : 0.000
% 0.11/0.47  % Current number of processed clauses  : 103
% 0.11/0.47  %    Positive orientable unit clauses  : 23
% 0.11/0.47  %    Positive unorientable unit clauses: 0
% 0.11/0.47  %    Negative unit clauses             : 2
% 0.11/0.47  %    Non-unit-clauses                  : 78
% 0.11/0.47  % Current number of unprocessed clauses: 71
% 0.11/0.47  % ...number of literals in the above   : 151
% 0.11/0.47  % Current number of archived formulas  : 0
% 0.11/0.47  % Current number of archived clauses   : 3
% 0.11/0.47  % Clause-clause subsumption calls (NU) : 781
% 0.11/0.47  % Rec. Clause-clause subsumption calls : 692
% 0.11/0.47  % Non-unit clause-clause subsumptions  : 12
% 0.11/0.47  % Unit Clause-clause subsumption calls : 261
% 0.11/0.47  % Rewrite failures with RHS unbound    : 0
% 0.11/0.47  % BW rewrite match attempts            : 20
% 0.11/0.47  % BW rewrite match successes           : 3
% 0.11/0.47  % Condensation attempts                : 0
% 0.11/0.47  % Condensation successes               : 0
% 0.11/0.47  % Termbank termtop insertions          : 7968
% 0.11/0.47  % Search garbage collected termcells   : 1271
% 0.11/0.47  
% 0.11/0.47  % -------------------------------------------------
% 0.11/0.47  % User time                : 0.013 s
% 0.11/0.47  % System time              : 0.007 s
% 0.11/0.47  % Total time               : 0.020 s
% 0.11/0.47  % Maximum resident set size: 3676 pages
% 0.11/0.47  
% 0.11/0.47  % -------------------------------------------------
% 0.11/0.47  % User time                : 0.064 s
% 0.11/0.47  % System time              : 0.013 s
% 0.11/0.47  % Total time               : 0.078 s
% 0.11/0.47  % Maximum resident set size: 4608 pages
% 0.11/0.47  % E exiting
%------------------------------------------------------------------------------