TSTP Solution File: SET665+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SET665+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n022.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  : 600s
% DateTime : Tue Jul 19 00:52:59 EDT 2022

% Result   : Theorem 0.23s 1.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   51 (   9 unt;   0 def)
%            Number of atoms       :  269 (  18 equ)
%            Maximal formula atoms :   34 (   5 avg)
%            Number of connectives :  370 ( 152   ~; 160   |;  30   &)
%                                         (   6 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   3 con; 0-3 aty)
%            Number of variables   :  115 (  12 sgn  44   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(p19,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( relation_like(X1)
      <=> ! [X2] :
            ( ilf_type(X2,set_type)
           => ( member(X2,X1)
             => ? [X3] :
                  ( ilf_type(X3,set_type)
                  & ? [X4] :
                      ( ilf_type(X4,set_type)
                      & X2 = ordered_pair(X3,X4) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p19) ).

fof(p27,axiom,
    ! [X1] : ilf_type(X1,set_type),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p27) ).

fof(p5,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,set_type)
             => ( member(X3,cross_product(X1,X2))
              <=> ? [X4] :
                    ( ilf_type(X4,set_type)
                    & ? [X5] :
                        ( ilf_type(X5,set_type)
                        & member(X4,X1)
                        & member(X5,X2)
                        & X3 = ordered_pair(X4,X5) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p5) ).

fof(p2,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,set_type)
             => ( member(ordered_pair(X2,X3),identity_relation_of(X1))
              <=> ( member(X2,X1)
                  & X2 = X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p2) ).

fof(p8,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ilf_type(identity_relation_of(X1),binary_relation_type) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p8) ).

fof(p11,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( ilf_type(X1,binary_relation_type)
      <=> ( relation_like(X1)
          & ilf_type(X1,set_type) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p11) ).

fof(p1,axiom,
    ! [X1] :
      ( ilf_type(X1,binary_relation_type)
     => ! [X2] :
          ( ilf_type(X2,binary_relation_type)
         => ( subset(X1,X2)
          <=> ! [X3] :
                ( ilf_type(X3,set_type)
               => ! [X4] :
                    ( ilf_type(X4,set_type)
                   => ( member(ordered_pair(X3,X4),X1)
                     => member(ordered_pair(X3,X4),X2) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p1) ).

fof(p3,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,set_type)
             => ! [X4] :
                  ( ilf_type(X4,set_type)
                 => ( member(ordered_pair(X1,X2),cross_product(X3,X4))
                  <=> ( member(X1,X3)
                      & member(X2,X4) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',p3) ).

fof(prove_relset_1_28,conjecture,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => subset(identity_relation_of(X1),cross_product(X1,X1)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_relset_1_28) ).

fof(c_0_9,plain,
    ! [X5,X6,X10,X11] :
      ( ( ilf_type(esk8_2(X5,X6),set_type)
        | ~ member(X6,X5)
        | ~ ilf_type(X6,set_type)
        | ~ relation_like(X5)
        | ~ ilf_type(X5,set_type) )
      & ( ilf_type(esk9_2(X5,X6),set_type)
        | ~ member(X6,X5)
        | ~ ilf_type(X6,set_type)
        | ~ relation_like(X5)
        | ~ ilf_type(X5,set_type) )
      & ( X6 = ordered_pair(esk8_2(X5,X6),esk9_2(X5,X6))
        | ~ member(X6,X5)
        | ~ ilf_type(X6,set_type)
        | ~ relation_like(X5)
        | ~ ilf_type(X5,set_type) )
      & ( ilf_type(esk10_1(X5),set_type)
        | relation_like(X5)
        | ~ ilf_type(X5,set_type) )
      & ( member(esk10_1(X5),X5)
        | relation_like(X5)
        | ~ ilf_type(X5,set_type) )
      & ( ~ ilf_type(X10,set_type)
        | ~ ilf_type(X11,set_type)
        | esk10_1(X5) != ordered_pair(X10,X11)
        | relation_like(X5)
        | ~ ilf_type(X5,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p19])])])])])])]) ).

fof(c_0_10,plain,
    ! [X2] : ilf_type(X2,set_type),
    inference(variable_rename,[status(thm)],[p27]) ).

fof(c_0_11,plain,
    ! [X6,X7,X8,X11,X12] :
      ( ( ilf_type(esk5_3(X6,X7,X8),set_type)
        | ~ member(X8,cross_product(X6,X7))
        | ~ ilf_type(X8,set_type)
        | ~ ilf_type(X7,set_type)
        | ~ ilf_type(X6,set_type) )
      & ( ilf_type(esk6_3(X6,X7,X8),set_type)
        | ~ member(X8,cross_product(X6,X7))
        | ~ ilf_type(X8,set_type)
        | ~ ilf_type(X7,set_type)
        | ~ ilf_type(X6,set_type) )
      & ( member(esk5_3(X6,X7,X8),X6)
        | ~ member(X8,cross_product(X6,X7))
        | ~ ilf_type(X8,set_type)
        | ~ ilf_type(X7,set_type)
        | ~ ilf_type(X6,set_type) )
      & ( member(esk6_3(X6,X7,X8),X7)
        | ~ member(X8,cross_product(X6,X7))
        | ~ ilf_type(X8,set_type)
        | ~ ilf_type(X7,set_type)
        | ~ ilf_type(X6,set_type) )
      & ( X8 = ordered_pair(esk5_3(X6,X7,X8),esk6_3(X6,X7,X8))
        | ~ member(X8,cross_product(X6,X7))
        | ~ ilf_type(X8,set_type)
        | ~ ilf_type(X7,set_type)
        | ~ ilf_type(X6,set_type) )
      & ( ~ ilf_type(X11,set_type)
        | ~ ilf_type(X12,set_type)
        | ~ member(X11,X6)
        | ~ member(X12,X7)
        | X8 != ordered_pair(X11,X12)
        | member(X8,cross_product(X6,X7))
        | ~ ilf_type(X8,set_type)
        | ~ ilf_type(X7,set_type)
        | ~ ilf_type(X6,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p5])])])])])])]) ).

cnf(c_0_12,plain,
    ( relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | esk10_1(X1) != ordered_pair(X2,X3)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    ilf_type(X1,set_type),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    ( X3 = ordered_pair(esk5_3(X1,X2,X3),esk6_3(X1,X2,X3))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ member(X3,cross_product(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_15,plain,
    ! [X4,X5,X6] :
      ( ( member(X5,X4)
        | ~ member(ordered_pair(X5,X6),identity_relation_of(X4))
        | ~ ilf_type(X6,set_type)
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) )
      & ( X5 = X6
        | ~ member(ordered_pair(X5,X6),identity_relation_of(X4))
        | ~ ilf_type(X6,set_type)
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) )
      & ( ~ member(X5,X4)
        | X5 != X6
        | member(ordered_pair(X5,X6),identity_relation_of(X4))
        | ~ ilf_type(X6,set_type)
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])])])])])]) ).

fof(c_0_16,plain,
    ! [X2] :
      ( ~ ilf_type(X2,set_type)
      | ilf_type(identity_relation_of(X2),binary_relation_type) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p8])]) ).

fof(c_0_17,plain,
    ! [X2] :
      ( ( relation_like(X2)
        | ~ ilf_type(X2,binary_relation_type)
        | ~ ilf_type(X2,set_type) )
      & ( ilf_type(X2,set_type)
        | ~ ilf_type(X2,binary_relation_type)
        | ~ ilf_type(X2,set_type) )
      & ( ~ relation_like(X2)
        | ~ ilf_type(X2,set_type)
        | ilf_type(X2,binary_relation_type)
        | ~ ilf_type(X2,set_type) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p11])])]) ).

cnf(c_0_18,plain,
    ( relation_like(X1)
    | esk10_1(X1) != ordered_pair(X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_13]),c_0_13])]) ).

cnf(c_0_19,plain,
    ( ordered_pair(esk5_3(X1,X2,X3),esk6_3(X1,X2,X3)) = X3
    | ~ member(X3,cross_product(X1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_13]),c_0_13]),c_0_13])]) ).

cnf(c_0_20,plain,
    ( relation_like(X1)
    | member(esk10_1(X1),X1)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_21,plain,
    ( X2 = X3
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_22,plain,
    ! [X5,X6,X7,X8] :
      ( ( ~ subset(X5,X6)
        | ~ ilf_type(X7,set_type)
        | ~ ilf_type(X8,set_type)
        | ~ member(ordered_pair(X7,X8),X5)
        | member(ordered_pair(X7,X8),X6)
        | ~ ilf_type(X6,binary_relation_type)
        | ~ ilf_type(X5,binary_relation_type) )
      & ( ilf_type(esk2_2(X5,X6),set_type)
        | subset(X5,X6)
        | ~ ilf_type(X6,binary_relation_type)
        | ~ ilf_type(X5,binary_relation_type) )
      & ( ilf_type(esk3_2(X5,X6),set_type)
        | subset(X5,X6)
        | ~ ilf_type(X6,binary_relation_type)
        | ~ ilf_type(X5,binary_relation_type) )
      & ( member(ordered_pair(esk2_2(X5,X6),esk3_2(X5,X6)),X5)
        | subset(X5,X6)
        | ~ ilf_type(X6,binary_relation_type)
        | ~ ilf_type(X5,binary_relation_type) )
      & ( ~ member(ordered_pair(esk2_2(X5,X6),esk3_2(X5,X6)),X6)
        | subset(X5,X6)
        | ~ ilf_type(X6,binary_relation_type)
        | ~ ilf_type(X5,binary_relation_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])])])])])]) ).

cnf(c_0_23,plain,
    ( ilf_type(identity_relation_of(X1),binary_relation_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_24,plain,
    ( ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ relation_like(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,plain,
    ( relation_like(X1)
    | esk10_1(X1) != X2
    | ~ member(X2,cross_product(X3,X4)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_26,plain,
    ( relation_like(X1)
    | member(esk10_1(X1),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_13])]) ).

cnf(c_0_27,plain,
    ( X1 = X2
    | ~ member(ordered_pair(X1,X2),identity_relation_of(X3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_13]),c_0_13]),c_0_13])]) ).

cnf(c_0_28,plain,
    ( subset(X1,X2)
    | member(ordered_pair(esk2_2(X1,X2),esk3_2(X1,X2)),X1)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,plain,
    ilf_type(identity_relation_of(X1),binary_relation_type),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_13])]) ).

fof(c_0_30,plain,
    ! [X5,X6,X7,X8] :
      ( ( member(X5,X7)
        | ~ member(ordered_pair(X5,X6),cross_product(X7,X8))
        | ~ ilf_type(X8,set_type)
        | ~ ilf_type(X7,set_type)
        | ~ ilf_type(X6,set_type)
        | ~ ilf_type(X5,set_type) )
      & ( member(X6,X8)
        | ~ member(ordered_pair(X5,X6),cross_product(X7,X8))
        | ~ ilf_type(X8,set_type)
        | ~ ilf_type(X7,set_type)
        | ~ ilf_type(X6,set_type)
        | ~ ilf_type(X5,set_type) )
      & ( ~ member(X5,X7)
        | ~ member(X6,X8)
        | member(ordered_pair(X5,X6),cross_product(X7,X8))
        | ~ ilf_type(X8,set_type)
        | ~ ilf_type(X7,set_type)
        | ~ ilf_type(X6,set_type)
        | ~ ilf_type(X5,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p3])])])])])]) ).

cnf(c_0_31,plain,
    ( ilf_type(X1,binary_relation_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X1,set_type) ),
    inference(cn,[status(thm)],[c_0_24]) ).

cnf(c_0_32,plain,
    ( relation_like(cross_product(X1,X2))
    | relation_like(X3)
    | esk10_1(X3) != esk10_1(cross_product(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_33,plain,
    ( subset(X1,X2)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ member(ordered_pair(esk2_2(X1,X2),esk3_2(X1,X2)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_34,plain,
    ( esk3_2(identity_relation_of(X1),X2) = esk2_2(identity_relation_of(X1),X2)
    | subset(identity_relation_of(X1),X2)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).

cnf(c_0_35,plain,
    ( member(ordered_pair(X1,X2),cross_product(X3,X4))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X4,set_type)
    | ~ member(X2,X4)
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_36,plain,
    ( ilf_type(X1,binary_relation_type)
    | ~ relation_like(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_13])]) ).

cnf(c_0_37,plain,
    relation_like(cross_product(X1,X2)),
    inference(er,[status(thm)],[c_0_32]) ).

cnf(c_0_38,plain,
    ( member(X2,X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_39,plain,
    ( subset(identity_relation_of(X1),X2)
    | ~ member(ordered_pair(esk2_2(identity_relation_of(X1),X2),esk2_2(identity_relation_of(X1),X2)),X2)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_29])]) ).

cnf(c_0_40,plain,
    ( member(ordered_pair(X1,X2),cross_product(X3,X4))
    | ~ member(X2,X4)
    | ~ member(X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_13]),c_0_13]),c_0_13]),c_0_13])]) ).

cnf(c_0_41,plain,
    ilf_type(cross_product(X1,X2),binary_relation_type),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_42,plain,
    ( member(X1,X2)
    | ~ member(ordered_pair(X1,X3),identity_relation_of(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_13]),c_0_13]),c_0_13])]) ).

fof(c_0_43,negated_conjecture,
    ~ ! [X1] :
        ( ilf_type(X1,set_type)
       => subset(identity_relation_of(X1),cross_product(X1,X1)) ),
    inference(assume_negation,[status(cth)],[prove_relset_1_28]) ).

cnf(c_0_44,plain,
    ( subset(identity_relation_of(X1),cross_product(X2,X3))
    | ~ member(esk2_2(identity_relation_of(X1),cross_product(X2,X3)),X3)
    | ~ member(esk2_2(identity_relation_of(X1),cross_product(X2,X3)),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).

cnf(c_0_45,plain,
    ( member(esk2_2(identity_relation_of(X1),X2),X1)
    | subset(identity_relation_of(X1),X2)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_28]),c_0_29])]) ).

fof(c_0_46,negated_conjecture,
    ( ilf_type(esk1_0,set_type)
    & ~ subset(identity_relation_of(esk1_0),cross_product(esk1_0,esk1_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])]) ).

cnf(c_0_47,plain,
    ( subset(identity_relation_of(X1),cross_product(X2,X1))
    | ~ member(esk2_2(identity_relation_of(X1),cross_product(X2,X1)),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_41])]) ).

cnf(c_0_48,negated_conjecture,
    ~ subset(identity_relation_of(esk1_0),cross_product(esk1_0,esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_49,plain,
    subset(identity_relation_of(X1),cross_product(X1,X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_45]),c_0_41])]) ).

cnf(c_0_50,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SET665+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul 10 02:17:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.23/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42  # Preprocessing time       : 0.018 s
% 0.23/1.42  
% 0.23/1.42  # Proof found!
% 0.23/1.42  # SZS status Theorem
% 0.23/1.42  # SZS output start CNFRefutation
% See solution above
% 0.23/1.42  # Proof object total steps             : 51
% 0.23/1.42  # Proof object clause steps            : 32
% 0.23/1.42  # Proof object formula steps           : 19
% 0.23/1.42  # Proof object conjectures             : 5
% 0.23/1.42  # Proof object clause conjectures      : 2
% 0.23/1.42  # Proof object formula conjectures     : 3
% 0.23/1.42  # Proof object initial clauses used    : 12
% 0.23/1.42  # Proof object initial formulas used   : 9
% 0.23/1.42  # Proof object generating inferences   : 10
% 0.23/1.42  # Proof object simplifying inferences  : 42
% 0.23/1.42  # Training examples: 0 positive, 0 negative
% 0.23/1.42  # Parsed axioms                        : 28
% 0.23/1.42  # Removed by relevancy pruning/SinE    : 6
% 0.23/1.42  # Initial clauses                      : 52
% 0.23/1.42  # Removed in clause preprocessing      : 1
% 0.23/1.42  # Initial clauses in saturation        : 51
% 0.23/1.42  # Processed clauses                    : 594
% 0.23/1.42  # ...of these trivial                  : 18
% 0.23/1.42  # ...subsumed                          : 262
% 0.23/1.42  # ...remaining for further processing  : 314
% 0.23/1.42  # Other redundant clauses eliminated   : 4
% 0.23/1.42  # Clauses deleted for lack of memory   : 0
% 0.23/1.42  # Backward-subsumed                    : 10
% 0.23/1.42  # Backward-rewritten                   : 13
% 0.23/1.42  # Generated clauses                    : 6333
% 0.23/1.42  # ...of the previous two non-trivial   : 6241
% 0.23/1.42  # Contextual simplify-reflections      : 130
% 0.23/1.42  # Paramodulations                      : 6327
% 0.23/1.42  # Factorizations                       : 0
% 0.23/1.42  # Equation resolutions                 : 6
% 0.23/1.42  # Current number of processed clauses  : 289
% 0.23/1.42  #    Positive orientable unit clauses  : 10
% 0.23/1.42  #    Positive unorientable unit clauses: 0
% 0.23/1.42  #    Negative unit clauses             : 0
% 0.23/1.42  #    Non-unit-clauses                  : 279
% 0.23/1.42  # Current number of unprocessed clauses: 5435
% 0.23/1.42  # ...number of literals in the above   : 19851
% 0.23/1.42  # Current number of archived formulas  : 0
% 0.23/1.42  # Current number of archived clauses   : 23
% 0.23/1.42  # Clause-clause subsumption calls (NU) : 60691
% 0.23/1.42  # Rec. Clause-clause subsumption calls : 39239
% 0.23/1.42  # Non-unit clause-clause subsumptions  : 401
% 0.23/1.42  # Unit Clause-clause subsumption calls : 141
% 0.23/1.42  # Rewrite failures with RHS unbound    : 0
% 0.23/1.42  # BW rewrite match attempts            : 11
% 0.23/1.42  # BW rewrite match successes           : 8
% 0.23/1.42  # Condensation attempts                : 0
% 0.23/1.42  # Condensation successes               : 0
% 0.23/1.42  # Termbank termtop insertions          : 118009
% 0.23/1.42  
% 0.23/1.42  # -------------------------------------------------
% 0.23/1.42  # User time                : 0.172 s
% 0.23/1.42  # System time              : 0.004 s
% 0.23/1.42  # Total time               : 0.176 s
% 0.23/1.42  # Maximum resident set size: 9152 pages
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.42  eprover: CPU time limit exceeded, terminating
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49  eprover: No such file or directory
% 0.23/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------