TSTP Solution File: SEU266+2 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SEU266+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 19:25:34 EDT 2023

% Result   : Theorem 224.87s 29.19s
% Output   : CNFRefutation 224.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   70 (  17 unt;   0 def)
%            Number of atoms       :  186 (  50 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  197 (  81   ~;  81   |;  18   &)
%                                         (   7 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   4 con; 0-3 aty)
%            Number of variables   :  138 (   7 sgn;  80   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t23_relset_1,conjecture,
    ! [X1,X2,X3] :
      ( relation_of2_as_subset(X3,X1,X2)
     => ( ! [X4] :
            ~ ( in(X4,X2)
              & ! [X5] : ~ in(ordered_pair(X5,X4),X3) )
      <=> relation_rng_as_subset(X1,X2,X3) = X2 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.sp6W4isUce/E---3.1_17627.p',t23_relset_1) ).

fof(d5_tarski,axiom,
    ! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
    file('/export/starexec/sandbox2/tmp/tmp.sp6W4isUce/E---3.1_17627.p',d5_tarski) ).

fof(t69_enumset1,lemma,
    ! [X1] : unordered_pair(X1,X1) = singleton(X1),
    file('/export/starexec/sandbox2/tmp/tmp.sp6W4isUce/E---3.1_17627.p',t69_enumset1) ).

fof(t12_relset_1,lemma,
    ! [X1,X2,X3] :
      ( relation_of2_as_subset(X3,X1,X2)
     => ( subset(relation_dom(X3),X1)
        & subset(relation_rng(X3),X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.sp6W4isUce/E---3.1_17627.p',t12_relset_1) ).

fof(d10_xboole_0,axiom,
    ! [X1,X2] :
      ( X1 = X2
    <=> ( subset(X1,X2)
        & subset(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.sp6W4isUce/E---3.1_17627.p',d10_xboole_0) ).

fof(d5_relat_1,axiom,
    ! [X1] :
      ( relation(X1)
     => ! [X2] :
          ( X2 = relation_rng(X1)
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] : in(ordered_pair(X4,X3),X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.sp6W4isUce/E---3.1_17627.p',d5_relat_1) ).

fof(commutativity_k2_tarski,axiom,
    ! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.sp6W4isUce/E---3.1_17627.p',commutativity_k2_tarski) ).

fof(d3_tarski,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( in(X3,X1)
         => in(X3,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.sp6W4isUce/E---3.1_17627.p',d3_tarski) ).

fof(redefinition_k5_relset_1,axiom,
    ! [X1,X2,X3] :
      ( relation_of2(X3,X1,X2)
     => relation_rng_as_subset(X1,X2,X3) = relation_rng(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.sp6W4isUce/E---3.1_17627.p',redefinition_k5_relset_1) ).

fof(redefinition_m2_relset_1,axiom,
    ! [X1,X2,X3] :
      ( relation_of2_as_subset(X3,X1,X2)
    <=> relation_of2(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.sp6W4isUce/E---3.1_17627.p',redefinition_m2_relset_1) ).

fof(cc1_relset_1,axiom,
    ! [X1,X2,X3] :
      ( element(X3,powerset(cartesian_product2(X1,X2)))
     => relation(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.sp6W4isUce/E---3.1_17627.p',cc1_relset_1) ).

fof(dt_m2_relset_1,axiom,
    ! [X1,X2,X3] :
      ( relation_of2_as_subset(X3,X1,X2)
     => element(X3,powerset(cartesian_product2(X1,X2))) ),
    file('/export/starexec/sandbox2/tmp/tmp.sp6W4isUce/E---3.1_17627.p',dt_m2_relset_1) ).

fof(t20_relat_1,lemma,
    ! [X1,X2,X3] :
      ( relation(X3)
     => ( in(ordered_pair(X1,X2),X3)
       => ( in(X1,relation_dom(X3))
          & in(X2,relation_rng(X3)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.sp6W4isUce/E---3.1_17627.p',t20_relat_1) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( relation_of2_as_subset(X3,X1,X2)
       => ( ! [X4] :
              ~ ( in(X4,X2)
                & ! [X5] : ~ in(ordered_pair(X5,X4),X3) )
        <=> relation_rng_as_subset(X1,X2,X3) = X2 ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t23_relset_1])]) ).

fof(c_0_14,plain,
    ! [X323,X324] : ordered_pair(X323,X324) = unordered_pair(unordered_pair(X323,X324),singleton(X323)),
    inference(variable_rename,[status(thm)],[d5_tarski]) ).

fof(c_0_15,lemma,
    ! [X881] : unordered_pair(X881,X881) = singleton(X881),
    inference(variable_rename,[status(thm)],[t69_enumset1]) ).

fof(c_0_16,lemma,
    ! [X600,X601,X602] :
      ( ( subset(relation_dom(X602),X600)
        | ~ relation_of2_as_subset(X602,X600,X601) )
      & ( subset(relation_rng(X602),X601)
        | ~ relation_of2_as_subset(X602,X600,X601) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_relset_1])])]) ).

fof(c_0_17,negated_conjecture,
    ! [X708,X709] :
      ( relation_of2_as_subset(esk113_0,esk111_0,esk112_0)
      & ( in(esk114_0,esk112_0)
        | relation_rng_as_subset(esk111_0,esk112_0,esk113_0) != esk112_0 )
      & ( ~ in(ordered_pair(X708,esk114_0),esk113_0)
        | relation_rng_as_subset(esk111_0,esk112_0,esk113_0) != esk112_0 )
      & ( ~ in(X709,esk112_0)
        | in(ordered_pair(esk115_1(X709),X709),esk113_0)
        | relation_rng_as_subset(esk111_0,esk112_0,esk113_0) = esk112_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])]) ).

cnf(c_0_18,plain,
    ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,lemma,
    unordered_pair(X1,X1) = singleton(X1),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_20,plain,
    ! [X36,X37] :
      ( ( subset(X36,X37)
        | X36 != X37 )
      & ( subset(X37,X36)
        | X36 != X37 )
      & ( ~ subset(X36,X37)
        | ~ subset(X37,X36)
        | X36 = X37 ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).

cnf(c_0_21,lemma,
    ( subset(relation_rng(X1),X2)
    | ~ relation_of2_as_subset(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    relation_of2_as_subset(esk113_0,esk111_0,esk112_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_23,plain,
    ! [X311,X312,X313,X315,X316,X317,X319] :
      ( ( ~ in(X313,X312)
        | in(ordered_pair(esk61_3(X311,X312,X313),X313),X311)
        | X312 != relation_rng(X311)
        | ~ relation(X311) )
      & ( ~ in(ordered_pair(X316,X315),X311)
        | in(X315,X312)
        | X312 != relation_rng(X311)
        | ~ relation(X311) )
      & ( ~ in(esk62_2(X311,X317),X317)
        | ~ in(ordered_pair(X319,esk62_2(X311,X317)),X311)
        | X317 = relation_rng(X311)
        | ~ relation(X311) )
      & ( in(esk62_2(X311,X317),X317)
        | in(ordered_pair(esk63_2(X311,X317),esk62_2(X311,X317)),X311)
        | X317 = relation_rng(X311)
        | ~ relation(X311) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_relat_1])])])])])]) ).

cnf(c_0_24,negated_conjecture,
    ( in(ordered_pair(esk115_1(X1),X1),esk113_0)
    | relation_rng_as_subset(esk111_0,esk112_0,esk113_0) = esk112_0
    | ~ in(X1,esk112_0) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,plain,
    ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),
    inference(rw,[status(thm)],[c_0_18,c_0_19]) ).

fof(c_0_26,plain,
    ! [X20,X21] : unordered_pair(X20,X21) = unordered_pair(X21,X20),
    inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).

cnf(c_0_27,plain,
    ( X1 = X2
    | ~ subset(X1,X2)
    | ~ subset(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_28,negated_conjecture,
    subset(relation_rng(esk113_0),esk112_0),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

fof(c_0_29,plain,
    ! [X236,X237,X238,X239,X240] :
      ( ( ~ subset(X236,X237)
        | ~ in(X238,X236)
        | in(X238,X237) )
      & ( in(esk45_2(X239,X240),X239)
        | subset(X239,X240) )
      & ( ~ in(esk45_2(X239,X240),X240)
        | subset(X239,X240) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])]) ).

fof(c_0_30,plain,
    ! [X553,X554,X555] :
      ( ~ relation_of2(X555,X553,X554)
      | relation_rng_as_subset(X553,X554,X555) = relation_rng(X555) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_relset_1])]) ).

fof(c_0_31,plain,
    ! [X563,X564,X565] :
      ( ( ~ relation_of2_as_subset(X565,X563,X564)
        | relation_of2(X565,X563,X564) )
      & ( ~ relation_of2(X565,X563,X564)
        | relation_of2_as_subset(X565,X563,X564) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).

cnf(c_0_32,negated_conjecture,
    ( ~ in(ordered_pair(X1,esk114_0),esk113_0)
    | relation_rng_as_subset(esk111_0,esk112_0,esk113_0) != esk112_0 ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_33,plain,
    ( in(ordered_pair(esk61_3(X3,X2,X1),X1),X3)
    | ~ in(X1,X2)
    | X2 != relation_rng(X3)
    | ~ relation(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_34,plain,
    ! [X14,X15,X16] :
      ( ~ element(X16,powerset(cartesian_product2(X14,X15)))
      | relation(X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).

fof(c_0_35,plain,
    ! [X422,X423,X424] :
      ( ~ relation_of2_as_subset(X424,X422,X423)
      | element(X424,powerset(cartesian_product2(X422,X423))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).

fof(c_0_36,lemma,
    ! [X673,X674,X675] :
      ( ( in(X673,relation_dom(X675))
        | ~ in(ordered_pair(X673,X674),X675)
        | ~ relation(X675) )
      & ( in(X674,relation_rng(X675))
        | ~ in(ordered_pair(X673,X674),X675)
        | ~ relation(X675) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t20_relat_1])])]) ).

cnf(c_0_37,negated_conjecture,
    ( relation_rng_as_subset(esk111_0,esk112_0,esk113_0) = esk112_0
    | in(unordered_pair(unordered_pair(esk115_1(X1),X1),unordered_pair(esk115_1(X1),esk115_1(X1))),esk113_0)
    | ~ in(X1,esk112_0) ),
    inference(rw,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_38,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_39,negated_conjecture,
    ( relation_rng(esk113_0) = esk112_0
    | ~ subset(esk112_0,relation_rng(esk113_0)) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_40,plain,
    ( in(esk45_2(X1,X2),X1)
    | subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_41,plain,
    ( relation_rng_as_subset(X2,X3,X1) = relation_rng(X1)
    | ~ relation_of2(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_42,plain,
    ( relation_of2(X1,X2,X3)
    | ~ relation_of2_as_subset(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_43,negated_conjecture,
    ( relation_rng_as_subset(esk111_0,esk112_0,esk113_0) != esk112_0
    | ~ in(unordered_pair(unordered_pair(X1,esk114_0),unordered_pair(X1,X1)),esk113_0) ),
    inference(rw,[status(thm)],[c_0_32,c_0_25]) ).

cnf(c_0_44,plain,
    ( in(unordered_pair(unordered_pair(esk61_3(X3,X2,X1),X1),unordered_pair(esk61_3(X3,X2,X1),esk61_3(X3,X2,X1))),X3)
    | X2 != relation_rng(X3)
    | ~ relation(X3)
    | ~ in(X1,X2) ),
    inference(rw,[status(thm)],[c_0_33,c_0_25]) ).

cnf(c_0_45,plain,
    ( relation(X1)
    | ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_46,plain,
    ( element(X1,powerset(cartesian_product2(X2,X3)))
    | ~ relation_of2_as_subset(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_47,lemma,
    ( in(X1,relation_rng(X2))
    | ~ in(ordered_pair(X3,X1),X2)
    | ~ relation(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_48,negated_conjecture,
    ( relation_rng_as_subset(esk111_0,esk112_0,esk113_0) = esk112_0
    | in(unordered_pair(unordered_pair(X1,esk115_1(X1)),unordered_pair(esk115_1(X1),esk115_1(X1))),esk113_0)
    | ~ in(X1,esk112_0) ),
    inference(rw,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_49,negated_conjecture,
    ( relation_rng(esk113_0) = esk112_0
    | in(esk45_2(esk112_0,relation_rng(esk113_0)),esk112_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_50,plain,
    ( relation_rng_as_subset(X1,X2,X3) = relation_rng(X3)
    | ~ relation_of2_as_subset(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_51,negated_conjecture,
    ( relation_rng_as_subset(esk111_0,esk112_0,esk113_0) != esk112_0
    | ~ in(unordered_pair(unordered_pair(esk114_0,X1),unordered_pair(X1,X1)),esk113_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_38]) ).

cnf(c_0_52,plain,
    ( in(unordered_pair(unordered_pair(X1,esk61_3(X2,relation_rng(X2),X1)),unordered_pair(esk61_3(X2,relation_rng(X2),X1),esk61_3(X2,relation_rng(X2),X1))),X2)
    | ~ relation(X2)
    | ~ in(X1,relation_rng(X2)) ),
    inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_38])]) ).

cnf(c_0_53,plain,
    ( relation(X1)
    | ~ relation_of2_as_subset(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_54,lemma,
    ( in(X1,relation_rng(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2) ),
    inference(rw,[status(thm)],[c_0_47,c_0_25]) ).

cnf(c_0_55,negated_conjecture,
    ( relation_rng_as_subset(esk111_0,esk112_0,esk113_0) = esk112_0
    | relation_rng(esk113_0) = esk112_0
    | in(unordered_pair(unordered_pair(esk45_2(esk112_0,relation_rng(esk113_0)),esk115_1(esk45_2(esk112_0,relation_rng(esk113_0)))),unordered_pair(esk115_1(esk45_2(esk112_0,relation_rng(esk113_0))),esk115_1(esk45_2(esk112_0,relation_rng(esk113_0))))),esk113_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_56,negated_conjecture,
    relation_rng(esk113_0) = relation_rng_as_subset(esk111_0,esk112_0,esk113_0),
    inference(spm,[status(thm)],[c_0_50,c_0_22]) ).

cnf(c_0_57,negated_conjecture,
    ( relation_rng_as_subset(esk111_0,esk112_0,esk113_0) != esk112_0
    | ~ relation(esk113_0)
    | ~ in(esk114_0,relation_rng(esk113_0)) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_58,negated_conjecture,
    relation(esk113_0),
    inference(spm,[status(thm)],[c_0_53,c_0_22]) ).

cnf(c_0_59,lemma,
    ( in(X1,relation_rng(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X3,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_38]) ).

cnf(c_0_60,negated_conjecture,
    ( relation_rng_as_subset(esk111_0,esk112_0,esk113_0) = esk112_0
    | in(unordered_pair(unordered_pair(esk45_2(esk112_0,relation_rng_as_subset(esk111_0,esk112_0,esk113_0)),esk115_1(esk45_2(esk112_0,relation_rng_as_subset(esk111_0,esk112_0,esk113_0)))),unordered_pair(esk115_1(esk45_2(esk112_0,relation_rng_as_subset(esk111_0,esk112_0,esk113_0))),esk115_1(esk45_2(esk112_0,relation_rng_as_subset(esk111_0,esk112_0,esk113_0))))),esk113_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56]),c_0_56]),c_0_56]),c_0_56]),c_0_56])]) ).

cnf(c_0_61,negated_conjecture,
    ( relation_rng_as_subset(esk111_0,esk112_0,esk113_0) != esk112_0
    | ~ in(esk114_0,relation_rng(esk113_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).

cnf(c_0_62,plain,
    ( subset(X1,X2)
    | ~ in(esk45_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_63,negated_conjecture,
    ( relation_rng_as_subset(esk111_0,esk112_0,esk113_0) = esk112_0
    | in(esk45_2(esk112_0,relation_rng_as_subset(esk111_0,esk112_0,esk113_0)),relation_rng_as_subset(esk111_0,esk112_0,esk113_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_56]),c_0_58])]) ).

cnf(c_0_64,negated_conjecture,
    ( relation_rng_as_subset(esk111_0,esk112_0,esk113_0) = esk112_0
    | ~ subset(esk112_0,relation_rng_as_subset(esk111_0,esk112_0,esk113_0)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_56]),c_0_56]) ).

cnf(c_0_65,negated_conjecture,
    ( relation_rng_as_subset(esk111_0,esk112_0,esk113_0) != esk112_0
    | ~ in(esk114_0,relation_rng_as_subset(esk111_0,esk112_0,esk113_0)) ),
    inference(rw,[status(thm)],[c_0_61,c_0_56]) ).

cnf(c_0_66,negated_conjecture,
    relation_rng_as_subset(esk111_0,esk112_0,esk113_0) = esk112_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).

cnf(c_0_67,negated_conjecture,
    ( in(esk114_0,esk112_0)
    | relation_rng_as_subset(esk111_0,esk112_0,esk113_0) != esk112_0 ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_68,negated_conjecture,
    ~ in(esk114_0,esk112_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66]),c_0_66])]) ).

cnf(c_0_69,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_66])]),c_0_68]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.15  % Problem    : SEU266+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.16  % Command    : run_E %s %d THM
% 0.15/0.37  % Computer : n028.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 2400
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon Oct  2 09:16:06 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.22/0.53  Running first-order theorem proving
% 0.22/0.53  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.sp6W4isUce/E---3.1_17627.p
% 224.87/29.19  # Version: 3.1pre001
% 224.87/29.19  # Preprocessing class: FSLSSMSSSSSNFFN.
% 224.87/29.19  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 224.87/29.19  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 224.87/29.19  # Starting new_bool_3 with 300s (1) cores
% 224.87/29.19  # Starting new_bool_1 with 300s (1) cores
% 224.87/29.19  # Starting sh5l with 300s (1) cores
% 224.87/29.19  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 17771 completed with status 0
% 224.87/29.19  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 224.87/29.19  # Preprocessing class: FSLSSMSSSSSNFFN.
% 224.87/29.19  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 224.87/29.19  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 224.87/29.19  # No SInE strategy applied
% 224.87/29.19  # Search class: FGHSM-FSLM32-MFFFFFNN
% 224.87/29.19  # Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 224.87/29.19  # Starting G-E--_303_C18_F1_URBAN_S0Y with 123s (1) cores
% 224.87/29.19  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 224.87/29.19  # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 224.87/29.19  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 224.87/29.19  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0i with 123s (1) cores
% 224.87/29.19  # U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with pid 17795 completed with status 0
% 224.87/29.19  # Result found by U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN
% 224.87/29.19  # Preprocessing class: FSLSSMSSSSSNFFN.
% 224.87/29.19  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 224.87/29.19  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 224.87/29.19  # No SInE strategy applied
% 224.87/29.19  # Search class: FGHSM-FSLM32-MFFFFFNN
% 224.87/29.19  # Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 224.87/29.19  # Starting G-E--_303_C18_F1_URBAN_S0Y with 123s (1) cores
% 224.87/29.19  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 224.87/29.19  # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 224.87/29.19  # Preprocessing time       : 0.013 s
% 224.87/29.19  # Presaturation interreduction done
% 224.87/29.19  
% 224.87/29.19  # Proof found!
% 224.87/29.19  # SZS status Theorem
% 224.87/29.19  # SZS output start CNFRefutation
% See solution above
% 224.87/29.19  # Parsed axioms                        : 337
% 224.87/29.19  # Removed by relevancy pruning/SinE    : 0
% 224.87/29.19  # Initial clauses                      : 716
% 224.87/29.19  # Removed in clause preprocessing      : 31
% 224.87/29.19  # Initial clauses in saturation        : 685
% 224.87/29.19  # Processed clauses                    : 74948
% 224.87/29.19  # ...of these trivial                  : 637
% 224.87/29.19  # ...subsumed                          : 54646
% 224.87/29.19  # ...remaining for further processing  : 19664
% 224.87/29.19  # Other redundant clauses eliminated   : 2867
% 224.87/29.19  # Clauses deleted for lack of memory   : 0
% 224.87/29.19  # Backward-subsumed                    : 6213
% 224.87/29.19  # Backward-rewritten                   : 3278
% 224.87/29.19  # Generated clauses                    : 1102311
% 224.87/29.19  # ...of the previous two non-redundant : 958120
% 224.87/29.19  # ...aggressively subsumed             : 0
% 224.87/29.19  # Contextual simplify-reflections      : 514
% 224.87/29.19  # Paramodulations                      : 1099393
% 224.87/29.19  # Factorizations                       : 31
% 224.87/29.19  # NegExts                              : 0
% 224.87/29.19  # Equation resolutions                 : 2898
% 224.87/29.19  # Total rewrite steps                  : 466556
% 224.87/29.19  # Propositional unsat checks           : 3
% 224.87/29.19  #    Propositional check models        : 0
% 224.87/29.19  #    Propositional check unsatisfiable : 0
% 224.87/29.19  #    Propositional clauses             : 0
% 224.87/29.19  #    Propositional clauses after purity: 0
% 224.87/29.19  #    Propositional unsat core size     : 0
% 224.87/29.19  #    Propositional preprocessing time  : 0.000
% 224.87/29.19  #    Propositional encoding time       : 1.173
% 224.87/29.19  #    Propositional solver time         : 0.882
% 224.87/29.19  #    Success case prop preproc time    : 0.000
% 224.87/29.19  #    Success case prop encoding time   : 0.000
% 224.87/29.19  #    Success case prop solver time     : 0.000
% 224.87/29.19  # Current number of processed clauses  : 9452
% 224.87/29.19  #    Positive orientable unit clauses  : 420
% 224.87/29.19  #    Positive unorientable unit clauses: 11
% 224.87/29.19  #    Negative unit clauses             : 562
% 224.87/29.19  #    Non-unit-clauses                  : 8459
% 224.87/29.19  # Current number of unprocessed clauses: 871513
% 224.87/29.19  # ...number of literals in the above   : 3550242
% 224.87/29.19  # Current number of archived formulas  : 0
% 224.87/29.19  # Current number of archived clauses   : 10121
% 224.87/29.19  # Clause-clause subsumption calls (NU) : 30754870
% 224.87/29.19  # Rec. Clause-clause subsumption calls : 20659472
% 224.87/29.19  # Non-unit clause-clause subsumptions  : 45804
% 224.87/29.19  # Unit Clause-clause subsumption calls : 555143
% 224.87/29.19  # Rewrite failures with RHS unbound    : 0
% 224.87/29.19  # BW rewrite match attempts            : 319
% 224.87/29.19  # BW rewrite match successes           : 181
% 224.87/29.19  # Condensation attempts                : 0
% 224.87/29.19  # Condensation successes               : 0
% 224.87/29.19  # Termbank termtop insertions          : 21247829
% 224.87/29.19  
% 224.87/29.19  # -------------------------------------------------
% 224.87/29.19  # User time                : 27.131 s
% 224.87/29.19  # System time              : 0.658 s
% 224.87/29.19  # Total time               : 27.789 s
% 224.87/29.19  # Maximum resident set size: 4204 pages
% 224.87/29.19  
% 224.87/29.19  # -------------------------------------------------
% 224.87/29.19  # User time                : 135.437 s
% 224.87/29.19  # System time              : 4.108 s
% 224.87/29.19  # Total time               : 139.545 s
% 224.87/29.19  # Maximum resident set size: 2048 pages
% 224.87/29.19  % E---3.1 exiting
% 224.87/29.20  % E---3.1 exiting
%------------------------------------------------------------------------------