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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEU407+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 02:25:00 PM UTC 2026

% Result   : Theorem 17.66s 3.98s
% Output   : CNFRefutation 17.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   51 (  10 unt;   0 def)
%            Number of atoms       :  234 (  30 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  290 ( 107   ~; 105   |;  45   &)
%                                         (  11 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-6 aty)
%            Number of variables   :   94 (   0 sgn  64   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t7_latsum_1,conjecture,
    ! [X1] :
      ( ( l1_orders_2(X1)
        & ~ v3_struct_0(X1) )
     => ! [X2] :
          ( ( l1_orders_2(X2)
            & ~ v3_struct_0(X2) )
         => ! [X3] :
              ( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2)))
             => ( r2_hidden(X3,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X1)))
                | r2_hidden(X3,u1_struct_0(X1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_latsum_1) ).

fof(d2_subset_1,axiom,
    ! [X1,X2] :
      ( ( v1_xboole_0(X1)
       => ( m1_subset_1(X2,X1)
        <=> v1_xboole_0(X2) ) )
      & ( ~ v1_xboole_0(X1)
       => ( m1_subset_1(X2,X1)
        <=> r2_hidden(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+7.ax',d2_subset_1) ).

fof(fc1_struct_0,axiom,
    ! [X1] :
      ( ( l1_struct_0(X1)
        & ~ v3_struct_0(X1) )
     => ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+200.ax',fc1_struct_0) ).

fof(dt_l1_orders_2,axiom,
    ! [X1] :
      ( l1_orders_2(X1)
     => l1_struct_0(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+218.ax',dt_l1_orders_2) ).

fof(fc1_latsum_1,axiom,
    ! [X1,X2] :
      ( ( l1_orders_2(X2)
        & ~ v3_struct_0(X2)
        & l1_orders_2(X1) )
     => ( v1_orders_2(k1_latsum_1(X1,X2))
        & ~ v3_struct_0(k1_latsum_1(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_latsum_1) ).

fof(dt_k1_latsum_1,axiom,
    ! [X1,X2] :
      ( ( l1_orders_2(X2)
        & l1_orders_2(X1) )
     => ( l1_orders_2(k1_latsum_1(X1,X2))
        & v1_orders_2(k1_latsum_1(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_latsum_1) ).

fof(d2_latsum_1,axiom,
    ! [X1] :
      ( l1_orders_2(X1)
     => ! [X2] :
          ( l1_orders_2(X2)
         => ! [X3] :
              ( ( l1_orders_2(X3)
                & v1_orders_2(X3) )
             => ( X3 = k1_latsum_1(X1,X2)
              <=> ( u1_orders_2(X3) = k2_xboole_0(k2_xboole_0(u1_orders_2(X1),u1_orders_2(X2)),k7_relset_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X2),u1_orders_2(X1),u1_orders_2(X2)))
                  & u1_struct_0(X3) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_latsum_1) ).

fof(d4_xboole_0,axiom,
    ! [X1,X2,X3] :
      ( X3 = k4_xboole_0(X1,X2)
    <=> ! [X4] :
          ( r2_hidden(X4,X3)
        <=> ( ~ r2_hidden(X4,X2)
            & r2_hidden(X4,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',d4_xboole_0) ).

fof(d2_xboole_0,axiom,
    ! [X1,X2,X3] :
      ( X3 = k2_xboole_0(X1,X2)
    <=> ! [X4] :
          ( r2_hidden(X4,X3)
        <=> ( r2_hidden(X4,X2)
            | r2_hidden(X4,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',d2_xboole_0) ).

fof(c_0_9,negated_conjecture,
    ~ ! [X1] :
        ( ( l1_orders_2(X1)
          & ~ v3_struct_0(X1) )
       => ! [X2] :
            ( ( l1_orders_2(X2)
              & ~ v3_struct_0(X2) )
           => ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2)))
               => ( r2_hidden(X3,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X1)))
                  | r2_hidden(X3,u1_struct_0(X1)) ) ) ) ),
    inference(assume_negation,[status(cth)],[t7_latsum_1]) ).

fof(c_0_10,plain,
    ! [X1,X2] :
      ( ( v1_xboole_0(X1)
       => ( m1_subset_1(X2,X1)
        <=> v1_xboole_0(X2) ) )
      & ( ~ v1_xboole_0(X1)
       => ( m1_subset_1(X2,X1)
        <=> r2_hidden(X2,X1) ) ) ),
    inference(fof_simplification,[status(thm)],[d2_subset_1]) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X1] :
        ( ( l1_orders_2(X1)
          & ~ v3_struct_0(X1) )
       => ! [X2] :
            ( ( l1_orders_2(X2)
              & ~ v3_struct_0(X2) )
           => ! [X3] :
                ( m1_subset_1(X3,u1_struct_0(k1_latsum_1(X1,X2)))
               => ( r2_hidden(X3,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X1)))
                  | r2_hidden(X3,u1_struct_0(X1)) ) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_12,plain,
    ! [X1] :
      ( ( l1_struct_0(X1)
        & ~ v3_struct_0(X1) )
     => ~ v1_xboole_0(u1_struct_0(X1)) ),
    inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).

fof(c_0_13,plain,
    ! [X29,X30] :
      ( ( ~ v1_xboole_0(X29)
        | m1_subset_1(X30,X29)
        | ~ v1_xboole_0(X30) )
      & ( ~ v1_xboole_0(X29)
        | v1_xboole_0(X30)
        | ~ m1_subset_1(X30,X29) )
      & ( v1_xboole_0(X29)
        | m1_subset_1(X30,X29)
        | ~ r2_hidden(X30,X29) )
      & ( v1_xboole_0(X29)
        | r2_hidden(X30,X29)
        | ~ m1_subset_1(X30,X29) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).

fof(c_0_14,negated_conjecture,
    ( ~ r2_hidden(esk3_0,k4_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0)))
    & ~ r2_hidden(esk3_0,u1_struct_0(esk1_0))
    & m1_subset_1(esk3_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0)))
    & l1_orders_2(esk2_0)
    & ~ v3_struct_0(esk2_0)
    & l1_orders_2(esk1_0)
    & ~ v3_struct_0(esk1_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).

fof(c_0_15,plain,
    ! [X2451] :
      ( ~ v1_xboole_0(u1_struct_0(X2451))
      | ~ l1_struct_0(X2451)
      | v3_struct_0(X2451) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).

cnf(c_0_16,plain,
    ( ~ m1_subset_1(X1,X2)
    | v1_xboole_0(X2)
    | r2_hidden(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    m1_subset_1(esk3_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0))),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,plain,
    ( ~ v1_xboole_0(u1_struct_0(X1))
    | ~ l1_struct_0(X1)
    | v3_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    ( r2_hidden(esk3_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0)))
    | v1_xboole_0(u1_struct_0(k1_latsum_1(esk1_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

fof(c_0_20,plain,
    ! [X2461] :
      ( l1_struct_0(X2461)
      | ~ l1_orders_2(X2461) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])])]) ).

fof(c_0_21,plain,
    ! [X1,X2] :
      ( ( l1_orders_2(X2)
        & ~ v3_struct_0(X2)
        & l1_orders_2(X1) )
     => ( v1_orders_2(k1_latsum_1(X1,X2))
        & ~ v3_struct_0(k1_latsum_1(X1,X2)) ) ),
    inference(fof_simplification,[status(thm)],[fc1_latsum_1]) ).

cnf(c_0_22,negated_conjecture,
    ( ~ l1_struct_0(k1_latsum_1(esk1_0,esk2_0))
    | r2_hidden(esk3_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0)))
    | v3_struct_0(k1_latsum_1(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_23,plain,
    ( ~ l1_orders_2(X1)
    | l1_struct_0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_24,plain,
    ! [X263,X264] :
      ( ( ~ l1_orders_2(X264)
        | ~ l1_orders_2(X263)
        | l1_orders_2(k1_latsum_1(X263,X264)) )
      & ( ~ l1_orders_2(X264)
        | ~ l1_orders_2(X263)
        | v1_orders_2(k1_latsum_1(X263,X264)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_latsum_1])])])]) ).

fof(c_0_25,plain,
    ! [X268,X269] :
      ( ( ~ l1_orders_2(X269)
        | v3_struct_0(X269)
        | ~ l1_orders_2(X268)
        | v1_orders_2(k1_latsum_1(X268,X269)) )
      & ( ~ l1_orders_2(X269)
        | v3_struct_0(X269)
        | ~ l1_orders_2(X268)
        | ~ v3_struct_0(k1_latsum_1(X268,X269)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ l1_orders_2(k1_latsum_1(esk1_0,esk2_0))
    | r2_hidden(esk3_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0)))
    | v3_struct_0(k1_latsum_1(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_27,plain,
    ( ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1)
    | l1_orders_2(k1_latsum_1(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_28,negated_conjecture,
    l1_orders_2(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_29,negated_conjecture,
    l1_orders_2(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_30,plain,
    ! [X265,X266,X267] :
      ( ( ~ l1_orders_2(X265)
        | ~ l1_orders_2(X266)
        | ~ l1_orders_2(X267)
        | ~ v1_orders_2(X267)
        | X267 = k1_latsum_1(X265,X266)
        | u1_orders_2(X267) != k2_xboole_0(k2_xboole_0(u1_orders_2(X265),u1_orders_2(X266)),k7_relset_1(u1_struct_0(X265),u1_struct_0(X265),u1_struct_0(X266),u1_struct_0(X266),u1_orders_2(X265),u1_orders_2(X266)))
        | u1_struct_0(X267) != k2_xboole_0(u1_struct_0(X265),u1_struct_0(X266)) )
      & ( ~ l1_orders_2(X265)
        | ~ l1_orders_2(X266)
        | ~ l1_orders_2(X267)
        | ~ v1_orders_2(X267)
        | X267 != k1_latsum_1(X265,X266)
        | u1_orders_2(X267) = k2_xboole_0(k2_xboole_0(u1_orders_2(X265),u1_orders_2(X266)),k7_relset_1(u1_struct_0(X265),u1_struct_0(X265),u1_struct_0(X266),u1_struct_0(X266),u1_orders_2(X265),u1_orders_2(X266))) )
      & ( ~ l1_orders_2(X265)
        | ~ l1_orders_2(X266)
        | ~ l1_orders_2(X267)
        | ~ v1_orders_2(X267)
        | X267 != k1_latsum_1(X265,X266)
        | u1_struct_0(X267) = k2_xboole_0(u1_struct_0(X265),u1_struct_0(X266)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_latsum_1])])])])]) ).

fof(c_0_31,plain,
    ! [X1,X2,X3] :
      ( X3 = k4_xboole_0(X1,X2)
    <=> ! [X4] :
          ( r2_hidden(X4,X3)
        <=> ( ~ r2_hidden(X4,X2)
            & r2_hidden(X4,X1) ) ) ),
    inference(fof_simplification,[status(thm)],[d4_xboole_0]) ).

fof(c_0_32,plain,
    ! [X430,X431,X432,X433,X434,X435,X436,X437] :
      ( ( X437 = k2_xboole_0(X435,X436)
        | r2_hidden(esk27_3(X435,X436,X437),X436)
        | r2_hidden(esk27_3(X435,X436,X437),X435)
        | r2_hidden(esk27_3(X435,X436,X437),X437) )
      & ( X437 = k2_xboole_0(X435,X436)
        | ~ r2_hidden(esk27_3(X435,X436,X437),X437)
        | ~ r2_hidden(esk27_3(X435,X436,X437),X436) )
      & ( X437 = k2_xboole_0(X435,X436)
        | ~ r2_hidden(esk27_3(X435,X436,X437),X437)
        | ~ r2_hidden(esk27_3(X435,X436,X437),X435) )
      & ( X432 != k2_xboole_0(X430,X431)
        | r2_hidden(X434,X432)
        | ~ r2_hidden(X434,X431) )
      & ( X432 != k2_xboole_0(X430,X431)
        | r2_hidden(X434,X432)
        | ~ r2_hidden(X434,X430) )
      & ( X432 != k2_xboole_0(X430,X431)
        | r2_hidden(X433,X431)
        | r2_hidden(X433,X430)
        | ~ r2_hidden(X433,X432) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[d2_xboole_0])])])])])])]) ).

cnf(c_0_33,plain,
    ( ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ v3_struct_0(k1_latsum_1(X1,X2))
    | v3_struct_0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_34,negated_conjecture,
    ( r2_hidden(esk3_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0)))
    | v3_struct_0(k1_latsum_1(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29])]) ).

cnf(c_0_35,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_36,plain,
    ( ~ l1_orders_2(X2)
    | ~ l1_orders_2(X3)
    | ~ l1_orders_2(X1)
    | ~ v1_orders_2(X1)
    | X1 != k1_latsum_1(X2,X3)
    | u1_struct_0(X1) = k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_37,plain,
    ( ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1)
    | v1_orders_2(k1_latsum_1(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_38,plain,
    ! [X70,X71,X72,X73,X74,X75,X76,X77] :
      ( ( X77 = k4_xboole_0(X75,X76)
        | r2_hidden(esk9_3(X75,X76,X77),X77)
        | ~ r2_hidden(esk9_3(X75,X76,X77),X76) )
      & ( X77 = k4_xboole_0(X75,X76)
        | r2_hidden(esk9_3(X75,X76,X77),X77)
        | r2_hidden(esk9_3(X75,X76,X77),X75) )
      & ( X77 = k4_xboole_0(X75,X76)
        | r2_hidden(esk9_3(X75,X76,X77),X76)
        | ~ r2_hidden(esk9_3(X75,X76,X77),X75)
        | ~ r2_hidden(esk9_3(X75,X76,X77),X77) )
      & ( X72 != k4_xboole_0(X70,X71)
        | r2_hidden(X74,X72)
        | r2_hidden(X74,X71)
        | ~ r2_hidden(X74,X70) )
      & ( X72 != k4_xboole_0(X70,X71)
        | ~ r2_hidden(X73,X72)
        | ~ r2_hidden(X73,X71) )
      & ( X72 != k4_xboole_0(X70,X71)
        | ~ r2_hidden(X73,X72)
        | r2_hidden(X73,X70) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[c_0_31])])])])])])]) ).

cnf(c_0_39,plain,
    ( X2 != k2_xboole_0(X3,X4)
    | ~ r2_hidden(X1,X2)
    | r2_hidden(X1,X4)
    | r2_hidden(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_40,negated_conjecture,
    r2_hidden(esk3_0,u1_struct_0(k1_latsum_1(esk1_0,esk2_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_28]),c_0_29])]),c_0_35]) ).

cnf(c_0_41,plain,
    ( ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2)
    | u1_struct_0(k1_latsum_1(X1,X2)) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_36]),c_0_27]),c_0_37]) ).

cnf(c_0_42,plain,
    ( X4 != k4_xboole_0(X2,X3)
    | ~ r2_hidden(X1,X2)
    | r2_hidden(X1,X4)
    | r2_hidden(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_43,plain,
    ( ~ r2_hidden(X1,k2_xboole_0(X3,X2))
    | r2_hidden(X1,X3)
    | r2_hidden(X1,X2) ),
    inference(er,[status(thm)],[c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    r2_hidden(esk3_0,k2_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_28]),c_0_29])]) ).

cnf(c_0_45,negated_conjecture,
    ~ r2_hidden(esk3_0,u1_struct_0(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_46,plain,
    ( ~ r2_hidden(X1,X2)
    | r2_hidden(X1,X3)
    | r2_hidden(X1,k4_xboole_0(X2,X3)) ),
    inference(er,[status(thm)],[c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    r2_hidden(esk3_0,u1_struct_0(esk2_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).

cnf(c_0_48,negated_conjecture,
    ~ r2_hidden(esk3_0,k4_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_49,negated_conjecture,
    ( r2_hidden(esk3_0,X1)
    | r2_hidden(esk3_0,k4_xboole_0(u1_struct_0(esk2_0),X1)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_50,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_45]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU407+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n026.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 06:24:09 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  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
% 17.66/3.98  % Version: 3.5.1
% 17.66/3.98  % Preprocessing class: FMLLMMLLSSSNFFN.
% 17.66/3.98  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.66/3.98  % Starting new_bool_3 with 900s (3) cores
% 17.66/3.98  % Starting new_bool_1 with 900s (3) cores
% 17.66/3.98  % Starting sh5l with 300s (1) cores
% 17.66/3.98  % Starting G-E--_211_C18_F1_AE_CS_SP_S0Y with 300s (1) cores
% 17.66/3.98  % new_bool_3 with pid 1556834 completed with status 0
% 17.66/3.98  % Result found by new_bool_3
% 17.66/3.98  % Preprocessing class: FMLLMMLLSSSNFFN.
% 17.66/3.98  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.66/3.98  % Starting new_bool_3 with 900s (3) cores
% 17.66/3.98  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 17.66/3.98  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 17.66/3.98  % Search class: FGHSM-SMLM32-MFFFFFNN
% 17.66/3.98  % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 17.66/3.98  % Starting SubtermCWHack with 82s (1) cores
% 17.66/3.98  % Starting new_bool_3 with 91s (1) cores
% 17.66/3.98  % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 68s (1) cores
% 17.66/3.98  % new_bool_3 with pid 1556996 completed with status 0
% 17.66/3.98  % Result found by new_bool_3
% 17.66/3.98  % Preprocessing class: FMLLMMLLSSSNFFN.
% 17.66/3.98  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.66/3.98  % Starting new_bool_3 with 900s (3) cores
% 17.66/3.98  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 17.66/3.98  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 17.66/3.98  % Search class: FGHSM-SMLM32-MFFFFFNN
% 17.66/3.98  % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 17.66/3.98  % Starting SubtermCWHack with 82s (1) cores
% 17.66/3.98  % Starting new_bool_3 with 91s (1) cores
% 17.66/3.98  % Preprocessing time       : 0.064 s
% 17.66/3.98  % Presaturation interreduction done
% 17.66/3.98  
% 17.66/3.98  % Proof found!
% 17.66/3.98  % SZS status Theorem
% 17.66/3.98  % SZS output start CNFRefutation
% See solution above
% 17.66/3.98  % Parsed axioms                        : 19033
% 17.66/3.98  % Removed by relevancy pruning/SinE    : 18095
% 17.66/3.98  % Initial clauses                      : 1915
% 17.66/3.98  % Removed in clause preprocessing      : 48
% 17.66/3.98  % Initial clauses in saturation        : 1867
% 17.66/3.98  % Processed clauses                    : 12510
% 17.66/3.98  % ...of these trivial                  : 205
% 17.66/3.98  % ...subsumed                          : 7497
% 17.66/3.98  % ...remaining for further processing  : 4808
% 17.66/3.98  % Other redundant clauses eliminated   : 706
% 17.66/3.98  % Clauses deleted for lack of memory   : 0
% 17.66/3.98  % Backward-subsumed                    : 51
% 17.66/3.98  % Backward-rewritten                   : 63
% 17.66/3.98  % Generated clauses                    : 52455
% 17.66/3.98  % ...of the previous two non-redundant : 46906
% 17.66/3.98  % ...aggressively subsumed             : 0
% 17.66/3.98  % Contextual simplify-reflections      : 123
% 17.66/3.98  % Paramodulations                      : 51736
% 17.66/3.98  % Factorizations                       : 7
% 17.66/3.98  % NegExts                              : 0
% 17.66/3.98  % Equation resolutions                 : 722
% 17.66/3.98  % Disequality decompositions           : 0
% 17.66/3.98  % Total rewrite steps                  : 12327
% 17.66/3.98  % ...of those cached                   : 9831
% 17.66/3.98  % Propositional unsat checks           : 0
% 17.66/3.98  %    Propositional check models        : 0
% 17.66/3.98  %    Propositional check unsatisfiable : 0
% 17.66/3.98  %    Propositional clauses             : 0
% 17.66/3.98  %    Propositional clauses after purity: 0
% 17.66/3.98  %    Propositional unsat core size     : 0
% 17.66/3.98  %    Propositional preprocessing time  : 0.000
% 17.66/3.98  %    Propositional encoding time       : 0.000
% 17.66/3.98  %    Propositional solver time         : 0.000
% 17.66/3.98  %    Success case prop preproc time    : 0.000
% 17.66/3.98  %    Success case prop encoding time   : 0.000
% 17.66/3.98  %    Success case prop solver time     : 0.000
% 17.66/3.98  % Current number of processed clauses  : 2853
% 17.66/3.98  %    Positive orientable unit clauses  : 589
% 17.66/3.98  %    Positive unorientable unit clauses: 3
% 17.66/3.98  %    Negative unit clauses             : 655
% 17.66/3.98  %    Non-unit-clauses                  : 1606
% 17.66/3.98  % Current number of unprocessed clauses: 37756
% 17.66/3.98  % ...number of literals in the above   : 120795
% 17.66/3.98  % Current number of archived formulas  : 0
% 17.66/3.98  % Current number of archived clauses   : 1798
% 17.66/3.98  % Clause-clause subsumption calls (NU) : 1956464
% 17.66/3.98  % Rec. Clause-clause subsumption calls : 507901
% 17.66/3.98  % Non-unit clause-clause subsumptions  : 1275
% 17.66/3.98  % Unit Clause-clause subsumption calls : 145453
% 17.66/3.98  % Rewrite failures with RHS unbound    : 0
% 17.66/3.98  % BW rewrite match attempts            : 371
% 17.66/3.98  % BW rewrite match successes           : 249
% 17.66/3.98  % Condensation attempts                : 0
% 17.66/3.98  % Condensation successes               : 0
% 17.66/3.98  % Termbank termtop insertions          : 1271249
% 17.66/3.98  % Search garbage collected termcells   : 207844
% 17.66/3.98  
% 17.66/3.98  % -------------------------------------------------
% 17.66/3.98  % User time                : 2.379 s
% 17.66/3.98  % System time              : 0.143 s
% 17.66/3.98  % Total time               : 2.522 s
% 17.66/3.98  % Maximum resident set size: 40988 pages
% 17.66/3.98  
% 17.66/3.98  % -------------------------------------------------
% 17.66/3.98  % User time                : 7.574 s
% 17.66/3.98  % System time              : 0.380 s
% 17.66/3.98  % Total time               : 7.954 s
% 17.66/3.98  % Maximum resident set size: 32768 pages
% 17.66/3.98  % E exiting
%------------------------------------------------------------------------------