TSTP Solution File: SET018+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SET018+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n002.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  : 300s
% DateTime : Thu Aug 31 14:32:10 EDT 2023

% Result   : Theorem 1.01s 1.06s
% Output   : CNFRefutation 1.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   47
% Syntax   : Number of formulae    :  112 (  28 unt;  42 typ;   0 def)
%            Number of atoms       :  142 (  91 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :   94 (  22   ~;  61   |;   8   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   47 (  31   >;  16   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   37 (  37 usr;  11 con; 0-3 aty)
%            Number of variables   :   59 (  12 sgn;  24   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    subclass: ( $i * $i ) > $o ).

tff(decl_23,type,
    member: ( $i * $i ) > $o ).

tff(decl_24,type,
    universal_class: $i ).

tff(decl_25,type,
    unordered_pair: ( $i * $i ) > $i ).

tff(decl_26,type,
    singleton: $i > $i ).

tff(decl_27,type,
    ordered_pair: ( $i * $i ) > $i ).

tff(decl_28,type,
    cross_product: ( $i * $i ) > $i ).

tff(decl_29,type,
    first: $i > $i ).

tff(decl_30,type,
    second: $i > $i ).

tff(decl_31,type,
    element_relation: $i ).

tff(decl_32,type,
    intersection: ( $i * $i ) > $i ).

tff(decl_33,type,
    complement: $i > $i ).

tff(decl_34,type,
    restrict: ( $i * $i * $i ) > $i ).

tff(decl_35,type,
    null_class: $i ).

tff(decl_36,type,
    domain_of: $i > $i ).

tff(decl_37,type,
    rotate: $i > $i ).

tff(decl_38,type,
    flip: $i > $i ).

tff(decl_39,type,
    union: ( $i * $i ) > $i ).

tff(decl_40,type,
    successor: $i > $i ).

tff(decl_41,type,
    successor_relation: $i ).

tff(decl_42,type,
    inverse: $i > $i ).

tff(decl_43,type,
    range_of: $i > $i ).

tff(decl_44,type,
    image: ( $i * $i ) > $i ).

tff(decl_45,type,
    inductive: $i > $o ).

tff(decl_46,type,
    sum_class: $i > $i ).

tff(decl_47,type,
    power_class: $i > $i ).

tff(decl_48,type,
    compose: ( $i * $i ) > $i ).

tff(decl_49,type,
    identity_relation: $i ).

tff(decl_50,type,
    function: $i > $o ).

tff(decl_51,type,
    disjoint: ( $i * $i ) > $o ).

tff(decl_52,type,
    apply: ( $i * $i ) > $i ).

tff(decl_53,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_54,type,
    esk2_0: $i ).

tff(decl_55,type,
    esk3_2: ( $i * $i ) > $i ).

tff(decl_56,type,
    esk4_1: $i > $i ).

tff(decl_57,type,
    esk5_2: ( $i * $i ) > $i ).

tff(decl_58,type,
    esk6_1: $i > $i ).

tff(decl_59,type,
    esk7_0: $i ).

tff(decl_60,type,
    esk8_0: $i ).

tff(decl_61,type,
    esk9_0: $i ).

tff(decl_62,type,
    esk10_0: $i ).

tff(decl_63,type,
    esk11_0: $i ).

fof(unordered_pair_defn,axiom,
    ! [X3,X1,X2] :
      ( member(X3,unordered_pair(X1,X2))
    <=> ( member(X3,universal_class)
        & ( X3 = X1
          | X3 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',unordered_pair_defn) ).

fof(ordered_pair_determines_components2,conjecture,
    ! [X7,X1,X2,X5] :
      ( ( ordered_pair(X7,X1) = ordered_pair(X2,X5)
        & member(X1,universal_class) )
     => X1 = X5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_determines_components2) ).

fof(ordered_pair_defn,axiom,
    ! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(singleton(X1),unordered_pair(X1,singleton(X2))),
    file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',ordered_pair_defn) ).

fof(singleton_set_defn,axiom,
    ! [X1] : singleton(X1) = unordered_pair(X1,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).

fof(unordered_pair,axiom,
    ! [X1,X2] : member(unordered_pair(X1,X2),universal_class),
    file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',unordered_pair) ).

fof(c_0_5,plain,
    ! [X19,X20,X21] :
      ( ( member(X19,universal_class)
        | ~ member(X19,unordered_pair(X20,X21)) )
      & ( X19 = X20
        | X19 = X21
        | ~ member(X19,unordered_pair(X20,X21)) )
      & ( X19 != X20
        | ~ member(X19,universal_class)
        | member(X19,unordered_pair(X20,X21)) )
      & ( X19 != X21
        | ~ member(X19,universal_class)
        | member(X19,unordered_pair(X20,X21)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unordered_pair_defn])])]) ).

fof(c_0_6,negated_conjecture,
    ~ ! [X7,X1,X2,X5] :
        ( ( ordered_pair(X7,X1) = ordered_pair(X2,X5)
          & member(X1,universal_class) )
       => X1 = X5 ),
    inference(assume_negation,[status(cth)],[ordered_pair_determines_components2]) ).

fof(c_0_7,plain,
    ! [X25,X26] : ordered_pair(X25,X26) = unordered_pair(singleton(X25),unordered_pair(X25,singleton(X26))),
    inference(variable_rename,[status(thm)],[ordered_pair_defn]) ).

fof(c_0_8,plain,
    ! [X24] : singleton(X24) = unordered_pair(X24,X24),
    inference(variable_rename,[status(thm)],[singleton_set_defn]) ).

cnf(c_0_9,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X2
    | ~ member(X1,universal_class) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_10,plain,
    ! [X22,X23] : member(unordered_pair(X22,X23),universal_class),
    inference(variable_rename,[status(thm)],[unordered_pair]) ).

fof(c_0_11,negated_conjecture,
    ( ordered_pair(esk8_0,esk9_0) = ordered_pair(esk10_0,esk11_0)
    & member(esk9_0,universal_class)
    & esk9_0 != esk11_0 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).

cnf(c_0_12,plain,
    ordered_pair(X1,X2) = unordered_pair(singleton(X1),unordered_pair(X1,singleton(X2))),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,plain,
    singleton(X1) = unordered_pair(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    ( member(X1,unordered_pair(X1,X2))
    | ~ member(X1,universal_class) ),
    inference(er,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    member(unordered_pair(X1,X2),universal_class),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    ordered_pair(esk8_0,esk9_0) = ordered_pair(esk10_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_13]) ).

cnf(c_0_18,plain,
    ( member(X1,unordered_pair(X3,X2))
    | X1 != X2
    | ~ member(X1,universal_class) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_19,plain,
    member(unordered_pair(X1,X2),unordered_pair(unordered_pair(X1,X2),X3)),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    unordered_pair(unordered_pair(esk10_0,esk10_0),unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0))) = unordered_pair(unordered_pair(esk8_0,esk8_0),unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_17]) ).

cnf(c_0_21,plain,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_22,plain,
    ( member(X1,unordered_pair(X2,X1))
    | ~ member(X1,universal_class) ),
    inference(er,[status(thm)],[c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    member(unordered_pair(esk8_0,esk8_0),unordered_pair(unordered_pair(esk10_0,esk10_0),unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)))),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,negated_conjecture,
    ( X1 = unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0))
    | X1 = unordered_pair(esk8_0,esk8_0)
    | ~ member(X1,unordered_pair(unordered_pair(esk10_0,esk10_0),unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)))) ),
    inference(spm,[status(thm)],[c_0_21,c_0_20]) ).

cnf(c_0_25,plain,
    member(unordered_pair(X1,X2),unordered_pair(X3,unordered_pair(X1,X2))),
    inference(spm,[status(thm)],[c_0_22,c_0_15]) ).

cnf(c_0_26,negated_conjecture,
    ( unordered_pair(esk8_0,esk8_0) = unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0))
    | unordered_pair(esk8_0,esk8_0) = unordered_pair(esk10_0,esk10_0) ),
    inference(spm,[status(thm)],[c_0_21,c_0_23]) ).

cnf(c_0_27,negated_conjecture,
    ( unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0)) = unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0))
    | unordered_pair(esk8_0,esk8_0) = unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_28,negated_conjecture,
    ( unordered_pair(esk8_0,esk8_0) = unordered_pair(esk10_0,esk10_0)
    | X1 = esk8_0
    | ~ member(X1,unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0))) ),
    inference(spm,[status(thm)],[c_0_21,c_0_26]) ).

cnf(c_0_29,negated_conjecture,
    ( unordered_pair(esk8_0,esk8_0) = unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0))
    | member(unordered_pair(esk9_0,esk9_0),unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0))) ),
    inference(spm,[status(thm)],[c_0_25,c_0_27]) ).

cnf(c_0_30,negated_conjecture,
    ( unordered_pair(esk8_0,esk8_0) = unordered_pair(esk10_0,esk10_0)
    | unordered_pair(esk11_0,esk11_0) = esk8_0 ),
    inference(spm,[status(thm)],[c_0_28,c_0_25]) ).

cnf(c_0_31,negated_conjecture,
    ( unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)) = unordered_pair(esk10_0,esk10_0)
    | unordered_pair(esk11_0,esk11_0) = esk8_0
    | member(unordered_pair(esk9_0,esk9_0),unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0))) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_32,negated_conjecture,
    member(unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0)),unordered_pair(unordered_pair(esk10_0,esk10_0),unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)))),
    inference(spm,[status(thm)],[c_0_25,c_0_20]) ).

cnf(c_0_33,negated_conjecture,
    ( unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)) = unordered_pair(esk10_0,esk10_0)
    | unordered_pair(esk11_0,esk11_0) = unordered_pair(esk9_0,esk9_0)
    | unordered_pair(esk11_0,esk11_0) = esk8_0
    | unordered_pair(esk9_0,esk9_0) = esk10_0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_31]) ).

cnf(c_0_34,negated_conjecture,
    ( unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0)) = unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0))
    | unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0)) = unordered_pair(esk10_0,esk10_0) ),
    inference(spm,[status(thm)],[c_0_21,c_0_32]) ).

cnf(c_0_35,negated_conjecture,
    ( unordered_pair(esk11_0,esk11_0) = esk8_0
    | X1 = esk8_0
    | ~ member(X1,unordered_pair(esk10_0,esk10_0)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_30]) ).

cnf(c_0_36,negated_conjecture,
    ( unordered_pair(esk11_0,esk11_0) = unordered_pair(esk9_0,esk9_0)
    | unordered_pair(esk9_0,esk9_0) = esk10_0
    | unordered_pair(esk11_0,esk11_0) = esk8_0
    | member(unordered_pair(esk11_0,esk11_0),unordered_pair(esk10_0,esk10_0)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_33]) ).

cnf(c_0_37,negated_conjecture,
    ( unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0)) = unordered_pair(esk10_0,esk10_0)
    | member(unordered_pair(esk9_0,esk9_0),unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0))) ),
    inference(spm,[status(thm)],[c_0_25,c_0_34]) ).

cnf(c_0_38,negated_conjecture,
    ( unordered_pair(esk11_0,esk11_0) = unordered_pair(esk9_0,esk9_0)
    | unordered_pair(esk9_0,esk9_0) = esk10_0
    | unordered_pair(esk11_0,esk11_0) = esk8_0 ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    member(esk9_0,universal_class),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_40,negated_conjecture,
    ( member(unordered_pair(esk9_0,esk9_0),unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)))
    | member(unordered_pair(esk9_0,esk9_0),unordered_pair(esk10_0,esk10_0)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_37]) ).

cnf(c_0_41,negated_conjecture,
    ( unordered_pair(esk11_0,esk11_0) = esk8_0
    | unordered_pair(esk9_0,esk9_0) = esk10_0
    | X1 = esk11_0
    | ~ member(X1,unordered_pair(esk9_0,esk9_0)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_38]) ).

cnf(c_0_42,negated_conjecture,
    member(esk9_0,unordered_pair(X1,esk9_0)),
    inference(spm,[status(thm)],[c_0_22,c_0_39]) ).

cnf(c_0_43,negated_conjecture,
    esk9_0 != esk11_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_44,negated_conjecture,
    ( unordered_pair(esk11_0,esk11_0) = unordered_pair(esk9_0,esk9_0)
    | unordered_pair(esk9_0,esk9_0) = esk10_0
    | member(unordered_pair(esk9_0,esk9_0),unordered_pair(esk10_0,esk10_0)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_40]) ).

cnf(c_0_45,negated_conjecture,
    ( unordered_pair(esk9_0,esk9_0) = esk10_0
    | unordered_pair(esk11_0,esk11_0) = esk8_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).

cnf(c_0_46,negated_conjecture,
    ( unordered_pair(esk9_0,esk9_0) = esk10_0
    | unordered_pair(esk9_0,esk9_0) = esk8_0
    | member(unordered_pair(esk9_0,esk9_0),unordered_pair(esk10_0,esk10_0)) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_47,negated_conjecture,
    ( unordered_pair(esk8_0,unordered_pair(esk9_0,esk9_0)) = unordered_pair(esk10_0,esk10_0)
    | unordered_pair(esk8_0,esk8_0) = unordered_pair(esk10_0,esk10_0) ),
    inference(spm,[status(thm)],[c_0_24,c_0_19]) ).

cnf(c_0_48,negated_conjecture,
    ( unordered_pair(esk9_0,esk9_0) = esk8_0
    | unordered_pair(esk9_0,esk9_0) = esk10_0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_46]) ).

cnf(c_0_49,negated_conjecture,
    ( unordered_pair(esk8_0,esk8_0) = unordered_pair(esk10_0,esk10_0)
    | unordered_pair(esk9_0,esk9_0) = esk10_0 ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_50,negated_conjecture,
    ( unordered_pair(esk8_0,esk8_0) = unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0))
    | unordered_pair(esk9_0,esk9_0) = esk10_0 ),
    inference(spm,[status(thm)],[c_0_27,c_0_48]) ).

cnf(c_0_51,negated_conjecture,
    ( unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)) = unordered_pair(esk10_0,esk10_0)
    | unordered_pair(esk9_0,esk9_0) = esk10_0 ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_52,negated_conjecture,
    ( unordered_pair(esk9_0,esk9_0) = esk10_0
    | member(unordered_pair(esk11_0,esk11_0),unordered_pair(esk10_0,esk10_0)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_51]) ).

cnf(c_0_53,negated_conjecture,
    ( unordered_pair(esk9_0,esk9_0) = esk10_0
    | unordered_pair(esk11_0,esk11_0) = esk10_0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_52]) ).

cnf(c_0_54,negated_conjecture,
    ( unordered_pair(esk9_0,esk9_0) = esk10_0
    | esk8_0 != esk10_0 ),
    inference(ef,[status(thm)],[c_0_48]) ).

cnf(c_0_55,negated_conjecture,
    unordered_pair(esk9_0,esk9_0) = esk10_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_53]),c_0_54]) ).

cnf(c_0_56,negated_conjecture,
    member(esk10_0,unordered_pair(X1,esk10_0)),
    inference(spm,[status(thm)],[c_0_25,c_0_55]) ).

cnf(c_0_57,negated_conjecture,
    ( unordered_pair(esk11_0,esk11_0) = esk8_0
    | esk8_0 = esk10_0 ),
    inference(spm,[status(thm)],[c_0_35,c_0_56]) ).

cnf(c_0_58,negated_conjecture,
    member(esk10_0,unordered_pair(esk10_0,X1)),
    inference(spm,[status(thm)],[c_0_19,c_0_55]) ).

cnf(c_0_59,negated_conjecture,
    ( esk8_0 = esk10_0
    | member(esk8_0,unordered_pair(X1,esk8_0)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_57]) ).

cnf(c_0_60,negated_conjecture,
    ( unordered_pair(esk8_0,esk8_0) = unordered_pair(esk10_0,esk10_0)
    | esk8_0 = esk10_0 ),
    inference(spm,[status(thm)],[c_0_28,c_0_58]) ).

cnf(c_0_61,negated_conjecture,
    ( esk8_0 = esk10_0
    | member(esk8_0,unordered_pair(esk10_0,esk10_0)) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_62,negated_conjecture,
    ( unordered_pair(esk8_0,esk8_0) = unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0))
    | unordered_pair(esk8_0,esk10_0) = unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)) ),
    inference(rw,[status(thm)],[c_0_27,c_0_55]) ).

cnf(c_0_63,negated_conjecture,
    esk8_0 = esk10_0,
    inference(spm,[status(thm)],[c_0_21,c_0_61]) ).

cnf(c_0_64,negated_conjecture,
    unordered_pair(esk10_0,unordered_pair(esk11_0,esk11_0)) = unordered_pair(esk10_0,esk10_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63]),c_0_63]),c_0_63])]) ).

cnf(c_0_65,negated_conjecture,
    member(unordered_pair(esk11_0,esk11_0),unordered_pair(esk10_0,esk10_0)),
    inference(spm,[status(thm)],[c_0_25,c_0_64]) ).

cnf(c_0_66,negated_conjecture,
    unordered_pair(esk11_0,esk11_0) = esk10_0,
    inference(spm,[status(thm)],[c_0_21,c_0_65]) ).

cnf(c_0_67,negated_conjecture,
    ( X1 = esk11_0
    | ~ member(X1,esk10_0) ),
    inference(spm,[status(thm)],[c_0_21,c_0_66]) ).

cnf(c_0_68,negated_conjecture,
    member(esk9_0,esk10_0),
    inference(spm,[status(thm)],[c_0_42,c_0_55]) ).

cnf(c_0_69,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_43]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET018+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n002.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    : 300
% 0.13/0.34  % DateTime   : Sat Aug 26 11:11:48 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 1.01/1.06  % Version  : CSE_E---1.5
% 1.01/1.06  % Problem  : theBenchmark.p
% 1.01/1.06  % Proof found
% 1.01/1.06  % SZS status Theorem for theBenchmark.p
% 1.01/1.06  % SZS output start Proof
% See solution above
% 1.01/1.07  % Total time : 0.484000 s
% 1.01/1.07  % SZS output end Proof
% 1.01/1.07  % Total time : 0.489000 s
%------------------------------------------------------------------------------