TSTP Solution File: SET674+3 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SET674+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n001.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:20:12 EDT 2023

% Result   : Theorem 39.85s 5.86s
% Output   : CNFRefutation 39.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  109 (   9 unt;   0 def)
%            Number of atoms       :  481 (  44 equ)
%            Maximal formula atoms :   22 (   4 avg)
%            Number of connectives :  656 ( 284   ~; 281   |;  34   &)
%                                         (   7 <=>;  50  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;   5 con; 0-4 aty)
%            Number of variables   :  259 (  17 sgn;  96   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(p7,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)
                 => ! [X5] :
                      ( ilf_type(X5,relation_type(X1,X2))
                     => ( member(ordered_pair(X3,X4),X5)
                       => ( member(X3,X1)
                          & member(X4,X2) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.weApN0n2S9/E---3.1_19660.p',p7) ).

fof(p40,axiom,
    ! [X1] : ilf_type(X1,set_type),
    file('/export/starexec/sandbox2/tmp/tmp.weApN0n2S9/E---3.1_19660.p',p40) ).

fof(prove_relset_1_38,conjecture,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X1,X2))
             => ( image4(X1,X2,X3,X1) = range(X1,X2,X3)
                & inverse4(X1,X2,X3,X2) = domain(X1,X2,X3) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.weApN0n2S9/E---3.1_19660.p',prove_relset_1_38) ).

fof(p5,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,binary_relation_type)
             => ( member(X2,inverse2(X3,X1))
              <=> ? [X4] :
                    ( ilf_type(X4,set_type)
                    & member(ordered_pair(X2,X4),X3)
                    & member(X4,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.weApN0n2S9/E---3.1_19660.p',p5) ).

fof(p1,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,binary_relation_type)
         => ( member(X1,domain_of(X2))
          <=> ? [X3] :
                ( ilf_type(X3,set_type)
                & member(ordered_pair(X1,X3),X2) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.weApN0n2S9/E---3.1_19660.p',p1) ).

fof(p4,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,binary_relation_type)
             => ( member(X2,image(X3,X1))
              <=> ? [X4] :
                    ( ilf_type(X4,set_type)
                    & member(ordered_pair(X4,X2),X3)
                    & member(X4,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.weApN0n2S9/E---3.1_19660.p',p4) ).

fof(p2,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,binary_relation_type)
         => ( member(X1,range_of(X2))
          <=> ? [X3] :
                ( ilf_type(X3,set_type)
                & member(ordered_pair(X3,X1),X2) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.weApN0n2S9/E---3.1_19660.p',p2) ).

fof(p38,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/tmp/tmp.weApN0n2S9/E---3.1_19660.p',p38) ).

fof(p32,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/tmp/tmp.weApN0n2S9/E---3.1_19660.p',p32) ).

fof(p22,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( subset(X1,X2)
          <=> ! [X3] :
                ( ilf_type(X3,set_type)
               => ( member(X3,X1)
                 => member(X3,X2) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.weApN0n2S9/E---3.1_19660.p',p22) ).

fof(p36,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/tmp/tmp.weApN0n2S9/E---3.1_19660.p',p36) ).

fof(p34,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/tmp/tmp.weApN0n2S9/E---3.1_19660.p',p34) ).

fof(p10,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( X1 = X2
          <=> ( subset(X1,X2)
              & subset(X2,X1) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.weApN0n2S9/E---3.1_19660.p',p10) ).

fof(p29,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/tmp/tmp.weApN0n2S9/E---3.1_19660.p',p29) ).

fof(p8,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X1,X2)))
               => ilf_type(X3,relation_type(X1,X2)) )
            & ! [X4] :
                ( ilf_type(X4,relation_type(X1,X2))
               => ilf_type(X4,subset_type(cross_product(X1,X2))) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.weApN0n2S9/E---3.1_19660.p',p8) ).

fof(p17,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/tmp/tmp.weApN0n2S9/E---3.1_19660.p',p17) ).

fof(c_0_16,plain,
    ! [X30,X31,X32,X33,X34] :
      ( ( member(X32,X30)
        | ~ member(ordered_pair(X32,X33),X34)
        | ~ ilf_type(X34,relation_type(X30,X31))
        | ~ ilf_type(X33,set_type)
        | ~ ilf_type(X32,set_type)
        | ~ ilf_type(X31,set_type)
        | ~ ilf_type(X30,set_type) )
      & ( member(X33,X31)
        | ~ member(ordered_pair(X32,X33),X34)
        | ~ ilf_type(X34,relation_type(X30,X31))
        | ~ ilf_type(X33,set_type)
        | ~ ilf_type(X32,set_type)
        | ~ ilf_type(X31,set_type)
        | ~ ilf_type(X30,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p7])])])]) ).

fof(c_0_17,plain,
    ! [X120] : ilf_type(X120,set_type),
    inference(variable_rename,[status(thm)],[p40]) ).

fof(c_0_18,negated_conjecture,
    ~ ! [X1] :
        ( ilf_type(X1,set_type)
       => ! [X2] :
            ( ilf_type(X2,set_type)
           => ! [X3] :
                ( ilf_type(X3,relation_type(X1,X2))
               => ( image4(X1,X2,X3,X1) = range(X1,X2,X3)
                  & inverse4(X1,X2,X3,X2) = domain(X1,X2,X3) ) ) ) ),
    inference(assume_negation,[status(cth)],[prove_relset_1_38]) ).

fof(c_0_19,plain,
    ! [X22,X23,X24,X26] :
      ( ( ilf_type(esk4_3(X22,X23,X24),set_type)
        | ~ member(X23,inverse2(X24,X22))
        | ~ ilf_type(X24,binary_relation_type)
        | ~ ilf_type(X23,set_type)
        | ~ ilf_type(X22,set_type) )
      & ( member(ordered_pair(X23,esk4_3(X22,X23,X24)),X24)
        | ~ member(X23,inverse2(X24,X22))
        | ~ ilf_type(X24,binary_relation_type)
        | ~ ilf_type(X23,set_type)
        | ~ ilf_type(X22,set_type) )
      & ( member(esk4_3(X22,X23,X24),X22)
        | ~ member(X23,inverse2(X24,X22))
        | ~ ilf_type(X24,binary_relation_type)
        | ~ ilf_type(X23,set_type)
        | ~ ilf_type(X22,set_type) )
      & ( ~ ilf_type(X26,set_type)
        | ~ member(ordered_pair(X23,X26),X24)
        | ~ member(X26,X22)
        | member(X23,inverse2(X24,X22))
        | ~ ilf_type(X24,binary_relation_type)
        | ~ ilf_type(X23,set_type)
        | ~ ilf_type(X22,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p5])])])])]) ).

fof(c_0_20,plain,
    ! [X6,X7,X9] :
      ( ( ilf_type(esk1_2(X6,X7),set_type)
        | ~ member(X6,domain_of(X7))
        | ~ ilf_type(X7,binary_relation_type)
        | ~ ilf_type(X6,set_type) )
      & ( member(ordered_pair(X6,esk1_2(X6,X7)),X7)
        | ~ member(X6,domain_of(X7))
        | ~ ilf_type(X7,binary_relation_type)
        | ~ ilf_type(X6,set_type) )
      & ( ~ ilf_type(X9,set_type)
        | ~ member(ordered_pair(X6,X9),X7)
        | member(X6,domain_of(X7))
        | ~ ilf_type(X7,binary_relation_type)
        | ~ ilf_type(X6,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])])])]) ).

cnf(c_0_21,plain,
    ( member(X1,X2)
    | ~ member(ordered_pair(X3,X1),X4)
    | ~ ilf_type(X4,relation_type(X5,X2))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X5,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,plain,
    ilf_type(X1,set_type),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_23,negated_conjecture,
    ( ilf_type(esk17_0,set_type)
    & ilf_type(esk18_0,set_type)
    & ilf_type(esk19_0,relation_type(esk17_0,esk18_0))
    & ( image4(esk17_0,esk18_0,esk19_0,esk17_0) != range(esk17_0,esk18_0,esk19_0)
      | inverse4(esk17_0,esk18_0,esk19_0,esk18_0) != domain(esk17_0,esk18_0,esk19_0) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).

cnf(c_0_24,plain,
    ( member(X2,inverse2(X3,X4))
    | ~ ilf_type(X1,set_type)
    | ~ member(ordered_pair(X2,X1),X3)
    | ~ member(X1,X4)
    | ~ ilf_type(X3,binary_relation_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X4,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_25,plain,
    ( member(ordered_pair(X1,esk1_2(X1,X2)),X2)
    | ~ member(X1,domain_of(X2))
    | ~ ilf_type(X2,binary_relation_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_26,plain,
    ( member(X1,X2)
    | ~ member(ordered_pair(X3,X1),X4)
    | ~ ilf_type(X4,relation_type(X5,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_22]),c_0_22]),c_0_22])]) ).

cnf(c_0_27,negated_conjecture,
    ilf_type(esk19_0,relation_type(esk17_0,esk18_0)),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_28,plain,
    ! [X17,X18,X19,X21] :
      ( ( ilf_type(esk3_3(X17,X18,X19),set_type)
        | ~ member(X18,image(X19,X17))
        | ~ ilf_type(X19,binary_relation_type)
        | ~ ilf_type(X18,set_type)
        | ~ ilf_type(X17,set_type) )
      & ( member(ordered_pair(esk3_3(X17,X18,X19),X18),X19)
        | ~ member(X18,image(X19,X17))
        | ~ ilf_type(X19,binary_relation_type)
        | ~ ilf_type(X18,set_type)
        | ~ ilf_type(X17,set_type) )
      & ( member(esk3_3(X17,X18,X19),X17)
        | ~ member(X18,image(X19,X17))
        | ~ ilf_type(X19,binary_relation_type)
        | ~ ilf_type(X18,set_type)
        | ~ ilf_type(X17,set_type) )
      & ( ~ ilf_type(X21,set_type)
        | ~ member(ordered_pair(X21,X18),X19)
        | ~ member(X21,X17)
        | member(X18,image(X19,X17))
        | ~ ilf_type(X19,binary_relation_type)
        | ~ ilf_type(X18,set_type)
        | ~ ilf_type(X17,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p4])])])])]) ).

fof(c_0_29,plain,
    ! [X10,X11,X13] :
      ( ( ilf_type(esk2_2(X10,X11),set_type)
        | ~ member(X10,range_of(X11))
        | ~ ilf_type(X11,binary_relation_type)
        | ~ ilf_type(X10,set_type) )
      & ( member(ordered_pair(esk2_2(X10,X11),X10),X11)
        | ~ member(X10,range_of(X11))
        | ~ ilf_type(X11,binary_relation_type)
        | ~ ilf_type(X10,set_type) )
      & ( ~ ilf_type(X13,set_type)
        | ~ member(ordered_pair(X13,X10),X11)
        | member(X10,range_of(X11))
        | ~ ilf_type(X11,binary_relation_type)
        | ~ ilf_type(X10,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])])])])]) ).

cnf(c_0_30,plain,
    ( member(X1,X2)
    | ~ member(ordered_pair(X1,X3),X4)
    | ~ ilf_type(X4,relation_type(X2,X5))
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X5,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_31,plain,
    ! [X112,X113,X114,X115] :
      ( ~ ilf_type(X112,set_type)
      | ~ ilf_type(X113,set_type)
      | ~ ilf_type(X114,relation_type(X112,X113))
      | ~ ilf_type(X115,set_type)
      | inverse4(X112,X113,X114,X115) = inverse2(X114,X115) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p38])])]) ).

fof(c_0_32,plain,
    ! [X92,X93,X94] :
      ( ~ ilf_type(X92,set_type)
      | ~ ilf_type(X93,set_type)
      | ~ ilf_type(X94,relation_type(X92,X93))
      | domain(X92,X93,X94) = domain_of(X94) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p32])])]) ).

fof(c_0_33,plain,
    ! [X64,X65,X66] :
      ( ( ~ subset(X64,X65)
        | ~ ilf_type(X66,set_type)
        | ~ member(X66,X64)
        | member(X66,X65)
        | ~ ilf_type(X65,set_type)
        | ~ ilf_type(X64,set_type) )
      & ( ilf_type(esk10_2(X64,X65),set_type)
        | subset(X64,X65)
        | ~ ilf_type(X65,set_type)
        | ~ ilf_type(X64,set_type) )
      & ( member(esk10_2(X64,X65),X64)
        | subset(X64,X65)
        | ~ ilf_type(X65,set_type)
        | ~ ilf_type(X64,set_type) )
      & ( ~ member(esk10_2(X64,X65),X65)
        | subset(X64,X65)
        | ~ ilf_type(X65,set_type)
        | ~ ilf_type(X64,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p22])])])])]) ).

cnf(c_0_34,plain,
    ( member(X1,inverse2(X2,X3))
    | ~ member(ordered_pair(X1,X4),X2)
    | ~ member(X4,X3)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_22]),c_0_22]),c_0_22])]) ).

cnf(c_0_35,plain,
    ( member(ordered_pair(X1,esk1_2(X1,X2)),X2)
    | ~ member(X1,domain_of(X2))
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_22])]) ).

cnf(c_0_36,negated_conjecture,
    ( member(X1,esk18_0)
    | ~ member(ordered_pair(X2,X1),esk19_0) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_37,plain,
    ( member(X2,image(X3,X4))
    | ~ ilf_type(X1,set_type)
    | ~ member(ordered_pair(X1,X2),X3)
    | ~ member(X1,X4)
    | ~ ilf_type(X3,binary_relation_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X4,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_38,plain,
    ( member(ordered_pair(esk2_2(X1,X2),X1),X2)
    | ~ member(X1,range_of(X2))
    | ~ ilf_type(X2,binary_relation_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_39,plain,
    ( member(X1,X2)
    | ~ member(ordered_pair(X1,X3),X4)
    | ~ ilf_type(X4,relation_type(X2,X5)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_22]),c_0_22]),c_0_22]),c_0_22])]) ).

cnf(c_0_40,plain,
    ( inverse4(X1,X2,X3,X4) = inverse2(X3,X4)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X4,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_41,plain,
    ( domain(X1,X2,X3) = domain_of(X3)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_42,plain,
    ( subset(X1,X2)
    | ~ member(esk10_2(X1,X2),X2)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_43,plain,
    ( member(X1,inverse2(X2,X3))
    | ~ member(esk1_2(X1,X2),X3)
    | ~ member(X1,domain_of(X2))
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_44,negated_conjecture,
    ( member(esk1_2(X1,esk19_0),esk18_0)
    | ~ member(X1,domain_of(esk19_0))
    | ~ ilf_type(esk19_0,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_36,c_0_35]) ).

cnf(c_0_45,plain,
    ( member(X2,domain_of(X3))
    | ~ ilf_type(X1,set_type)
    | ~ member(ordered_pair(X2,X1),X3)
    | ~ ilf_type(X3,binary_relation_type)
    | ~ ilf_type(X2,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_46,plain,
    ( member(ordered_pair(X1,esk4_3(X2,X1,X3)),X3)
    | ~ member(X1,inverse2(X3,X2))
    | ~ ilf_type(X3,binary_relation_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_47,plain,
    ( member(X1,image(X2,X3))
    | ~ member(ordered_pair(X4,X1),X2)
    | ~ member(X4,X3)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_22]),c_0_22]),c_0_22])]) ).

cnf(c_0_48,plain,
    ( member(ordered_pair(esk2_2(X1,X2),X1),X2)
    | ~ member(X1,range_of(X2))
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_22])]) ).

cnf(c_0_49,negated_conjecture,
    ( member(X1,esk17_0)
    | ~ member(ordered_pair(X1,X2),esk19_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_27]) ).

cnf(c_0_50,negated_conjecture,
    ( image4(esk17_0,esk18_0,esk19_0,esk17_0) != range(esk17_0,esk18_0,esk19_0)
    | inverse4(esk17_0,esk18_0,esk19_0,esk18_0) != domain(esk17_0,esk18_0,esk19_0) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_51,plain,
    ( inverse4(X1,X2,X3,X4) = inverse2(X3,X4)
    | ~ ilf_type(X3,relation_type(X1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_22]),c_0_22]),c_0_22])]) ).

cnf(c_0_52,plain,
    ( domain(X1,X2,X3) = domain_of(X3)
    | ~ ilf_type(X3,relation_type(X1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_22]),c_0_22])]) ).

fof(c_0_53,plain,
    ! [X104,X105,X106,X107] :
      ( ~ ilf_type(X104,set_type)
      | ~ ilf_type(X105,set_type)
      | ~ ilf_type(X106,relation_type(X104,X105))
      | ~ ilf_type(X107,set_type)
      | image4(X104,X105,X106,X107) = image(X106,X107) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p36])])]) ).

fof(c_0_54,plain,
    ! [X98,X99,X100] :
      ( ~ ilf_type(X98,set_type)
      | ~ ilf_type(X99,set_type)
      | ~ ilf_type(X100,relation_type(X98,X99))
      | range(X98,X99,X100) = range_of(X100) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p34])])]) ).

fof(c_0_55,plain,
    ! [X42,X43] :
      ( ( subset(X42,X43)
        | X42 != X43
        | ~ ilf_type(X43,set_type)
        | ~ ilf_type(X42,set_type) )
      & ( subset(X43,X42)
        | X42 != X43
        | ~ ilf_type(X43,set_type)
        | ~ ilf_type(X42,set_type) )
      & ( ~ subset(X42,X43)
        | ~ subset(X43,X42)
        | X42 = X43
        | ~ ilf_type(X43,set_type)
        | ~ ilf_type(X42,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p10])])])]) ).

cnf(c_0_56,plain,
    ( subset(X1,X2)
    | ~ member(esk10_2(X1,X2),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_22]),c_0_22])]) ).

cnf(c_0_57,negated_conjecture,
    ( member(X1,inverse2(esk19_0,esk18_0))
    | ~ member(X1,domain_of(esk19_0))
    | ~ ilf_type(esk19_0,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_58,plain,
    ( member(esk10_2(X1,X2),X1)
    | subset(X1,X2)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_59,plain,
    ( member(X1,domain_of(X2))
    | ~ member(ordered_pair(X1,X3),X2)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_22]),c_0_22])]) ).

cnf(c_0_60,plain,
    ( member(ordered_pair(X1,esk4_3(X2,X1,X3)),X3)
    | ~ member(X1,inverse2(X3,X2))
    | ~ ilf_type(X3,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_22]),c_0_22])]) ).

cnf(c_0_61,plain,
    ( member(X1,image(X2,X3))
    | ~ member(esk2_2(X1,X2),X3)
    | ~ member(X1,range_of(X2))
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_62,negated_conjecture,
    ( member(esk2_2(X1,esk19_0),esk17_0)
    | ~ member(X1,range_of(esk19_0))
    | ~ ilf_type(esk19_0,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_49,c_0_48]) ).

cnf(c_0_63,plain,
    ( member(X2,range_of(X3))
    | ~ ilf_type(X1,set_type)
    | ~ member(ordered_pair(X1,X2),X3)
    | ~ ilf_type(X3,binary_relation_type)
    | ~ ilf_type(X2,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_64,plain,
    ( member(ordered_pair(esk3_3(X1,X2,X3),X2),X3)
    | ~ member(X2,image(X3,X1))
    | ~ ilf_type(X3,binary_relation_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_65,negated_conjecture,
    ( image4(esk17_0,esk18_0,esk19_0,esk17_0) != range(esk17_0,esk18_0,esk19_0)
    | domain(esk17_0,esk18_0,esk19_0) != inverse2(esk19_0,esk18_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_27])]) ).

cnf(c_0_66,negated_conjecture,
    domain(esk17_0,esk18_0,esk19_0) = domain_of(esk19_0),
    inference(spm,[status(thm)],[c_0_52,c_0_27]) ).

cnf(c_0_67,plain,
    ( image4(X1,X2,X3,X4) = image(X3,X4)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X4,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_68,plain,
    ( range(X1,X2,X3) = range_of(X3)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_69,plain,
    ( X1 = X2
    | ~ subset(X1,X2)
    | ~ subset(X2,X1)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_70,negated_conjecture,
    ( subset(X1,inverse2(esk19_0,esk18_0))
    | ~ member(esk10_2(X1,inverse2(esk19_0,esk18_0)),domain_of(esk19_0))
    | ~ ilf_type(esk19_0,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_71,plain,
    ( subset(X1,X2)
    | member(esk10_2(X1,X2),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_22]),c_0_22])]) ).

cnf(c_0_72,plain,
    ( member(X1,domain_of(X2))
    | ~ member(X1,inverse2(X2,X3))
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_73,negated_conjecture,
    ( member(X1,image(esk19_0,esk17_0))
    | ~ member(X1,range_of(esk19_0))
    | ~ ilf_type(esk19_0,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_74,plain,
    ( member(X1,range_of(X2))
    | ~ member(ordered_pair(X3,X1),X2)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_22]),c_0_22])]) ).

cnf(c_0_75,plain,
    ( member(ordered_pair(esk3_3(X1,X2,X3),X2),X3)
    | ~ member(X2,image(X3,X1))
    | ~ ilf_type(X3,binary_relation_type) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_22]),c_0_22])]) ).

cnf(c_0_76,negated_conjecture,
    ( image4(esk17_0,esk18_0,esk19_0,esk17_0) != range(esk17_0,esk18_0,esk19_0)
    | inverse2(esk19_0,esk18_0) != domain_of(esk19_0) ),
    inference(rw,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_77,plain,
    ( image4(X1,X2,X3,X4) = image(X3,X4)
    | ~ ilf_type(X3,relation_type(X1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_22]),c_0_22]),c_0_22])]) ).

cnf(c_0_78,plain,
    ( range(X1,X2,X3) = range_of(X3)
    | ~ ilf_type(X3,relation_type(X1,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_22]),c_0_22])]) ).

cnf(c_0_79,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_22]),c_0_22])]) ).

cnf(c_0_80,negated_conjecture,
    ( subset(domain_of(esk19_0),inverse2(esk19_0,esk18_0))
    | ~ ilf_type(esk19_0,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_81,plain,
    ( subset(inverse2(X1,X2),X3)
    | member(esk10_2(inverse2(X1,X2),X3),domain_of(X1))
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_72,c_0_71]) ).

fof(c_0_82,plain,
    ! [X85,X86,X87] :
      ( ~ ilf_type(X85,set_type)
      | ~ ilf_type(X86,set_type)
      | ~ ilf_type(X87,subset_type(cross_product(X85,X86)))
      | relation_like(X87) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p29])])]) ).

fof(c_0_83,plain,
    ! [X35,X36,X37,X38] :
      ( ( ~ ilf_type(X37,subset_type(cross_product(X35,X36)))
        | ilf_type(X37,relation_type(X35,X36))
        | ~ ilf_type(X36,set_type)
        | ~ ilf_type(X35,set_type) )
      & ( ~ ilf_type(X38,relation_type(X35,X36))
        | ilf_type(X38,subset_type(cross_product(X35,X36)))
        | ~ ilf_type(X36,set_type)
        | ~ ilf_type(X35,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p8])])])]) ).

cnf(c_0_84,negated_conjecture,
    ( subset(X1,image(esk19_0,esk17_0))
    | ~ member(esk10_2(X1,image(esk19_0,esk17_0)),range_of(esk19_0))
    | ~ ilf_type(esk19_0,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_56,c_0_73]) ).

cnf(c_0_85,plain,
    ( member(X1,range_of(X2))
    | ~ member(X1,image(X2,X3))
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_86,negated_conjecture,
    ( range(esk17_0,esk18_0,esk19_0) != image(esk19_0,esk17_0)
    | inverse2(esk19_0,esk18_0) != domain_of(esk19_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_27])]) ).

cnf(c_0_87,negated_conjecture,
    range(esk17_0,esk18_0,esk19_0) = range_of(esk19_0),
    inference(spm,[status(thm)],[c_0_78,c_0_27]) ).

cnf(c_0_88,negated_conjecture,
    ( inverse2(esk19_0,esk18_0) = domain_of(esk19_0)
    | ~ subset(inverse2(esk19_0,esk18_0),domain_of(esk19_0))
    | ~ ilf_type(esk19_0,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_89,plain,
    ( subset(inverse2(X1,X2),domain_of(X1))
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_56,c_0_81]) ).

fof(c_0_90,plain,
    ! [X54] :
      ( ( relation_like(X54)
        | ~ ilf_type(X54,binary_relation_type)
        | ~ ilf_type(X54,set_type) )
      & ( ilf_type(X54,set_type)
        | ~ ilf_type(X54,binary_relation_type)
        | ~ ilf_type(X54,set_type) )
      & ( ~ relation_like(X54)
        | ~ ilf_type(X54,set_type)
        | ilf_type(X54,binary_relation_type)
        | ~ ilf_type(X54,set_type) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p17])])]) ).

cnf(c_0_91,plain,
    ( relation_like(X3)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_92,plain,
    ( ilf_type(X1,subset_type(cross_product(X2,X3)))
    | ~ ilf_type(X1,relation_type(X2,X3))
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_93,negated_conjecture,
    ( subset(range_of(esk19_0),image(esk19_0,esk17_0))
    | ~ ilf_type(esk19_0,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_84,c_0_71]) ).

cnf(c_0_94,plain,
    ( subset(image(X1,X2),X3)
    | member(esk10_2(image(X1,X2),X3),range_of(X1))
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_85,c_0_71]) ).

cnf(c_0_95,negated_conjecture,
    ( image(esk19_0,esk17_0) != range_of(esk19_0)
    | inverse2(esk19_0,esk18_0) != domain_of(esk19_0) ),
    inference(rw,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_96,negated_conjecture,
    ( inverse2(esk19_0,esk18_0) = domain_of(esk19_0)
    | ~ ilf_type(esk19_0,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_97,plain,
    ( ilf_type(X1,binary_relation_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_98,plain,
    ( relation_like(X1)
    | ~ ilf_type(X1,subset_type(cross_product(X2,X3))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_22]),c_0_22])]) ).

cnf(c_0_99,plain,
    ( ilf_type(X1,subset_type(cross_product(X2,X3)))
    | ~ ilf_type(X1,relation_type(X2,X3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_22]),c_0_22])]) ).

cnf(c_0_100,negated_conjecture,
    ( image(esk19_0,esk17_0) = range_of(esk19_0)
    | ~ subset(image(esk19_0,esk17_0),range_of(esk19_0))
    | ~ ilf_type(esk19_0,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_79,c_0_93]) ).

cnf(c_0_101,plain,
    ( subset(image(X1,X2),range_of(X1))
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_56,c_0_94]) ).

cnf(c_0_102,negated_conjecture,
    ( image(esk19_0,esk17_0) != range_of(esk19_0)
    | ~ ilf_type(esk19_0,binary_relation_type) ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_103,plain,
    ( ilf_type(X1,binary_relation_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X1,set_type) ),
    inference(cn,[status(thm)],[c_0_97]) ).

cnf(c_0_104,plain,
    ( relation_like(X1)
    | ~ ilf_type(X1,relation_type(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_105,negated_conjecture,
    ~ ilf_type(esk19_0,binary_relation_type),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).

cnf(c_0_106,plain,
    ( ilf_type(X1,binary_relation_type)
    | ~ relation_like(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_22])]) ).

cnf(c_0_107,negated_conjecture,
    relation_like(esk19_0),
    inference(spm,[status(thm)],[c_0_104,c_0_27]) ).

cnf(c_0_108,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SET674+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.10  % Command    : run_E %s %d THM
% 0.09/0.29  % Computer : n001.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 2400
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Mon Oct  2 18:01:51 EDT 2023
% 0.09/0.29  % CPUTime    : 
% 0.13/0.38  Running first-order theorem proving
% 0.13/0.38  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/tmp/tmp.weApN0n2S9/E---3.1_19660.p
% 39.85/5.86  # Version: 3.1pre001
% 39.85/5.86  # Preprocessing class: FSLSSMSSSSSNFFN.
% 39.85/5.86  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 39.85/5.86  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 39.85/5.86  # Starting new_bool_3 with 300s (1) cores
% 39.85/5.86  # Starting new_bool_1 with 300s (1) cores
% 39.85/5.86  # Starting sh5l with 300s (1) cores
% 39.85/5.86  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 19738 completed with status 0
% 39.85/5.86  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 39.85/5.86  # Preprocessing class: FSLSSMSSSSSNFFN.
% 39.85/5.86  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 39.85/5.86  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 39.85/5.86  # No SInE strategy applied
% 39.85/5.86  # Search class: FGHSF-FFMS31-SFFFFFNN
% 39.85/5.86  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 39.85/5.86  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 737s (1) cores
% 39.85/5.86  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 39.85/5.86  # Starting new_bool_3 with 189s (1) cores
% 39.85/5.86  # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 39.85/5.86  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 39.85/5.86  # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 19744 completed with status 0
% 39.85/5.86  # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 39.85/5.86  # Preprocessing class: FSLSSMSSSSSNFFN.
% 39.85/5.86  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 39.85/5.86  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 39.85/5.86  # No SInE strategy applied
% 39.85/5.86  # Search class: FGHSF-FFMS31-SFFFFFNN
% 39.85/5.86  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 39.85/5.86  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 737s (1) cores
% 39.85/5.86  # Preprocessing time       : 0.001 s
% 39.85/5.86  
% 39.85/5.86  # Proof found!
% 39.85/5.86  # SZS status Theorem
% 39.85/5.86  # SZS output start CNFRefutation
% See solution above
% 39.85/5.86  # Parsed axioms                        : 41
% 39.85/5.86  # Removed by relevancy pruning/SinE    : 0
% 39.85/5.86  # Initial clauses                      : 83
% 39.85/5.86  # Removed in clause preprocessing      : 3
% 39.85/5.86  # Initial clauses in saturation        : 80
% 39.85/5.86  # Processed clauses                    : 11971
% 39.85/5.86  # ...of these trivial                  : 37
% 39.85/5.86  # ...subsumed                          : 8990
% 39.85/5.86  # ...remaining for further processing  : 2944
% 39.85/5.86  # Other redundant clauses eliminated   : 4
% 39.85/5.86  # Clauses deleted for lack of memory   : 0
% 39.85/5.86  # Backward-subsumed                    : 833
% 39.85/5.86  # Backward-rewritten                   : 8
% 39.85/5.86  # Generated clauses                    : 255893
% 39.85/5.86  # ...of the previous two non-redundant : 254845
% 39.85/5.86  # ...aggressively subsumed             : 0
% 39.85/5.86  # Contextual simplify-reflections      : 52
% 39.85/5.86  # Paramodulations                      : 255779
% 39.85/5.86  # Factorizations                       : 110
% 39.85/5.86  # NegExts                              : 0
% 39.85/5.86  # Equation resolutions                 : 4
% 39.85/5.86  # Total rewrite steps                  : 1629
% 39.85/5.86  # Propositional unsat checks           : 0
% 39.85/5.86  #    Propositional check models        : 0
% 39.85/5.86  #    Propositional check unsatisfiable : 0
% 39.85/5.86  #    Propositional clauses             : 0
% 39.85/5.86  #    Propositional clauses after purity: 0
% 39.85/5.86  #    Propositional unsat core size     : 0
% 39.85/5.86  #    Propositional preprocessing time  : 0.000
% 39.85/5.86  #    Propositional encoding time       : 0.000
% 39.85/5.86  #    Propositional solver time         : 0.000
% 39.85/5.86  #    Success case prop preproc time    : 0.000
% 39.85/5.86  #    Success case prop encoding time   : 0.000
% 39.85/5.86  #    Success case prop solver time     : 0.000
% 39.85/5.86  # Current number of processed clauses  : 2101
% 39.85/5.86  #    Positive orientable unit clauses  : 173
% 39.85/5.86  #    Positive unorientable unit clauses: 0
% 39.85/5.86  #    Negative unit clauses             : 5
% 39.85/5.86  #    Non-unit-clauses                  : 1923
% 39.85/5.86  # Current number of unprocessed clauses: 235128
% 39.85/5.86  # ...number of literals in the above   : 1257962
% 39.85/5.86  # Current number of archived formulas  : 0
% 39.85/5.86  # Current number of archived clauses   : 841
% 39.85/5.86  # Clause-clause subsumption calls (NU) : 1018629
% 39.85/5.86  # Rec. Clause-clause subsumption calls : 399550
% 39.85/5.86  # Non-unit clause-clause subsumptions  : 9036
% 39.85/5.86  # Unit Clause-clause subsumption calls : 3550
% 39.85/5.86  # Rewrite failures with RHS unbound    : 0
% 39.85/5.86  # BW rewrite match attempts            : 184
% 39.85/5.86  # BW rewrite match successes           : 10
% 39.85/5.86  # Condensation attempts                : 0
% 39.85/5.86  # Condensation successes               : 0
% 39.85/5.86  # Termbank termtop insertions          : 5701846
% 39.85/5.86  
% 39.85/5.86  # -------------------------------------------------
% 39.85/5.86  # User time                : 4.709 s
% 39.85/5.86  # System time              : 0.178 s
% 39.85/5.86  # Total time               : 4.888 s
% 39.85/5.86  # Maximum resident set size: 2024 pages
% 39.85/5.86  
% 39.85/5.86  # -------------------------------------------------
% 39.85/5.86  # User time                : 25.023 s
% 39.85/5.86  # System time              : 0.749 s
% 39.85/5.86  # Total time               : 25.772 s
% 39.85/5.86  # Maximum resident set size: 1732 pages
% 39.85/5.86  % E---3.1 exiting
% 39.85/5.86  % E---3.1 exiting
%------------------------------------------------------------------------------