TSTP Solution File: SET703+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET703+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 00:13:33 EDT 2022

% Result   : Theorem 7.67s 2.38s
% Output   : CNFRefutation 7.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   69 (  10 unt;  25 nHn;  54 RR)
%            Number of literals    :  151 (  45 equ;  64 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   76 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_24,negated_conjecture,
    ~ equal_set(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wih6dtgv/lgb.p',i_0_24) ).

cnf(i_0_5,plain,
    ( equal_set(X1,X2)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wih6dtgv/lgb.p',i_0_5) ).

cnf(i_0_19,plain,
    ( subset(X1,X2)
    | member(esk2_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wih6dtgv/lgb.p',i_0_19) ).

cnf(i_0_12,plain,
    ( subset(X1,X2)
    | ~ member(X1,power_set(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wih6dtgv/lgb.p',i_0_12) ).

cnf(i_0_27,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wih6dtgv/lgb.p',i_0_27) ).

cnf(i_0_17,plain,
    ( X1 = X2
    | ~ member(X1,singleton(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wih6dtgv/lgb.p',i_0_17) ).

cnf(i_0_11,plain,
    ( member(X1,power_set(X2))
    | ~ subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wih6dtgv/lgb.p',i_0_11) ).

cnf(i_0_18,plain,
    ( subset(X1,X2)
    | ~ member(esk2_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wih6dtgv/lgb.p',i_0_18) ).

cnf(i_0_30,plain,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wih6dtgv/lgb.p',i_0_30) ).

cnf(i_0_28,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wih6dtgv/lgb.p',i_0_28) ).

cnf(i_0_25,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wih6dtgv/lgb.p',i_0_25) ).

cnf(i_0_29,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wih6dtgv/lgb.p',i_0_29) ).

cnf(i_0_16,plain,
    ( member(X1,singleton(X2))
    | X1 != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wih6dtgv/lgb.p',i_0_16) ).

cnf(i_0_26,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wih6dtgv/lgb.p',i_0_26) ).

cnf(c_0_45,negated_conjecture,
    ~ equal_set(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),
    i_0_24 ).

cnf(c_0_46,plain,
    ( equal_set(X1,X2)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    i_0_5 ).

cnf(c_0_47,negated_conjecture,
    ( ~ subset(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0)))
    | ~ subset(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_48,plain,
    ( subset(X1,X2)
    | member(esk2_2(X1,X2),X1) ),
    i_0_19 ).

cnf(c_0_49,plain,
    ( member(esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),union(singleton(esk4_0),singleton(esk5_0)))
    | ~ subset(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_50,plain,
    ( subset(X1,X2)
    | ~ member(X1,power_set(X2)) ),
    i_0_12 ).

cnf(c_0_51,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    i_0_27 ).

cnf(c_0_52,plain,
    ( member(esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),union(singleton(esk4_0),singleton(esk5_0)))
    | ~ member(unordered_pair(esk4_0,esk5_0),power_set(union(singleton(esk4_0),singleton(esk5_0)))) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_53,plain,
    ( X1 = X2
    | ~ member(X1,singleton(X2)) ),
    i_0_17 ).

cnf(c_0_54,plain,
    ( member(esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),singleton(esk5_0))
    | member(esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),singleton(esk4_0))
    | ~ member(unordered_pair(esk4_0,esk5_0),power_set(union(singleton(esk4_0),singleton(esk5_0)))) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_55,plain,
    ( member(X1,power_set(X2))
    | ~ subset(X1,X2) ),
    i_0_11 ).

cnf(c_0_56,plain,
    ( subset(X1,X2)
    | ~ member(esk2_2(X1,X2),X2) ),
    i_0_18 ).

cnf(c_0_57,plain,
    ( esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)) = esk5_0
    | member(esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),singleton(esk4_0))
    | ~ member(unordered_pair(esk4_0,esk5_0),power_set(union(singleton(esk4_0),singleton(esk5_0)))) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_58,plain,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X3,X2)) ),
    i_0_30 ).

cnf(c_0_59,plain,
    ( member(esk2_2(X1,X2),X1)
    | member(X1,power_set(X2)) ),
    inference(spm,[status(thm)],[c_0_55,c_0_48]) ).

cnf(c_0_60,plain,
    ( member(esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),union(singleton(esk4_0),singleton(esk5_0)))
    | ~ member(esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))),union(singleton(esk4_0),singleton(esk5_0))) ),
    inference(spm,[status(thm)],[c_0_49,c_0_56]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ member(esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),unordered_pair(esk4_0,esk5_0))
    | ~ subset(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))) ),
    inference(spm,[status(thm)],[c_0_47,c_0_56]) ).

cnf(c_0_62,plain,
    ( esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)) = esk5_0
    | esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)) = esk4_0
    | ~ member(unordered_pair(esk4_0,esk5_0),power_set(union(singleton(esk4_0),singleton(esk5_0)))) ),
    inference(spm,[status(thm)],[c_0_53,c_0_57]) ).

cnf(c_0_63,plain,
    ( esk2_2(unordered_pair(X1,X2),X3) = X2
    | esk2_2(unordered_pair(X1,X2),X3) = X1
    | member(unordered_pair(X1,X2),power_set(X3)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_64,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X3 ),
    i_0_28 ).

cnf(c_0_65,plain,
    ( member(esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),singleton(esk5_0))
    | member(esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),singleton(esk4_0))
    | ~ member(esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))),union(singleton(esk4_0),singleton(esk5_0))) ),
    inference(spm,[status(thm)],[c_0_51,c_0_60]) ).

cnf(c_0_66,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    i_0_25 ).

cnf(c_0_67,plain,
    ( ~ member(esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),unordered_pair(esk4_0,esk5_0))
    | ~ member(unordered_pair(esk4_0,esk5_0),power_set(union(singleton(esk4_0),singleton(esk5_0)))) ),
    inference(spm,[status(thm)],[c_0_61,c_0_50]) ).

cnf(c_0_68,plain,
    ( esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))) = esk4_0
    | esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))) = esk5_0
    | esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)) = esk4_0
    | esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)) = esk5_0 ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_69,plain,
    member(X1,unordered_pair(X2,X1)),
    inference(er,[status(thm)],[c_0_64]) ).

cnf(c_0_70,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X2 ),
    i_0_29 ).

cnf(c_0_71,plain,
    ( member(esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),singleton(esk4_0))
    | member(esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),singleton(esk5_0))
    | ~ member(esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))),singleton(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_72,plain,
    ( esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)) = esk4_0
    | esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))) = esk5_0
    | esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))) = esk4_0 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69])]),c_0_63]) ).

cnf(c_0_73,plain,
    member(X1,unordered_pair(X1,X2)),
    inference(er,[status(thm)],[c_0_70]) ).

cnf(c_0_74,plain,
    ( esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)) = esk5_0
    | member(esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),singleton(esk4_0))
    | ~ member(esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))),singleton(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_53,c_0_71]) ).

cnf(c_0_75,plain,
    ( member(X1,singleton(X2))
    | X1 != X2 ),
    i_0_16 ).

cnf(c_0_76,plain,
    ( ~ member(esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))),union(singleton(esk4_0),singleton(esk5_0)))
    | ~ member(esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),unordered_pair(esk4_0,esk5_0)) ),
    inference(spm,[status(thm)],[c_0_61,c_0_56]) ).

cnf(c_0_77,plain,
    ( esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))) = esk4_0
    | esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))) = esk5_0 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_72]),c_0_73])]),c_0_63]) ).

cnf(c_0_78,plain,
    ( esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)) = esk5_0
    | esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)) = esk4_0
    | ~ member(esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))),singleton(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_53,c_0_74]) ).

cnf(c_0_79,plain,
    member(X1,singleton(X1)),
    inference(er,[status(thm)],[c_0_75]) ).

cnf(c_0_80,plain,
    ( esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))) = esk4_0
    | ~ member(esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),unordered_pair(esk4_0,esk5_0))
    | ~ member(esk5_0,union(singleton(esk4_0),singleton(esk5_0))) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_81,plain,
    ( esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))) = esk4_0
    | esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)) = esk4_0
    | esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)) = esk5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_77]),c_0_79])]) ).

cnf(c_0_82,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    i_0_26 ).

cnf(c_0_83,plain,
    ( esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)) = esk4_0
    | esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))) = esk4_0
    | ~ member(esk5_0,union(singleton(esk4_0),singleton(esk5_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_69])]) ).

cnf(c_0_84,plain,
    ( member(esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),singleton(esk4_0))
    | member(esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),singleton(esk5_0))
    | ~ member(esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))),singleton(esk4_0)) ),
    inference(spm,[status(thm)],[c_0_65,c_0_82]) ).

cnf(c_0_85,plain,
    ( esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))) = esk4_0
    | esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)) = esk4_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_66]),c_0_79])]) ).

cnf(c_0_86,plain,
    ( ~ member(union(singleton(esk4_0),singleton(esk5_0)),power_set(unordered_pair(esk4_0,esk5_0)))
    | ~ subset(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))) ),
    inference(spm,[status(thm)],[c_0_47,c_0_50]) ).

cnf(c_0_87,plain,
    ( esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)) = esk5_0
    | member(esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),singleton(esk4_0))
    | ~ member(esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))),singleton(esk4_0)) ),
    inference(spm,[status(thm)],[c_0_53,c_0_84]) ).

cnf(c_0_88,plain,
    ( esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))) = esk4_0
    | ~ member(esk5_0,union(singleton(esk4_0),singleton(esk5_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_85]),c_0_73])]) ).

cnf(c_0_89,plain,
    ( ~ member(esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))),union(singleton(esk4_0),singleton(esk5_0)))
    | ~ member(union(singleton(esk4_0),singleton(esk5_0)),power_set(unordered_pair(esk4_0,esk5_0))) ),
    inference(spm,[status(thm)],[c_0_86,c_0_56]) ).

cnf(c_0_90,plain,
    ( esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)) = esk5_0
    | esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)) = esk4_0
    | ~ member(esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))),singleton(esk4_0)) ),
    inference(spm,[status(thm)],[c_0_53,c_0_87]) ).

cnf(c_0_91,plain,
    esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))) = esk4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_66]),c_0_79])]) ).

cnf(c_0_92,plain,
    ( ~ member(esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))),singleton(esk4_0))
    | ~ member(union(singleton(esk4_0),singleton(esk5_0)),power_set(unordered_pair(esk4_0,esk5_0))) ),
    inference(spm,[status(thm)],[c_0_89,c_0_82]) ).

cnf(c_0_93,plain,
    ( ~ member(esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),unordered_pair(esk4_0,esk5_0))
    | ~ member(esk2_2(unordered_pair(esk4_0,esk5_0),union(singleton(esk4_0),singleton(esk5_0))),singleton(esk4_0)) ),
    inference(spm,[status(thm)],[c_0_76,c_0_82]) ).

cnf(c_0_94,plain,
    ( member(X1,power_set(X2))
    | ~ member(esk2_2(X1,X2),X2) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_95,plain,
    ( esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)) = esk4_0
    | esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)) = esk5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91]),c_0_79])]) ).

cnf(c_0_96,plain,
    ~ member(union(singleton(esk4_0),singleton(esk5_0)),power_set(unordered_pair(esk4_0,esk5_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_91]),c_0_79])]) ).

cnf(c_0_97,plain,
    ~ member(esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)),unordered_pair(esk4_0,esk5_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_91]),c_0_79])]) ).

cnf(c_0_98,plain,
    esk2_2(union(singleton(esk4_0),singleton(esk5_0)),unordered_pair(esk4_0,esk5_0)) = esk4_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_69])]),c_0_96]) ).

cnf(c_0_99,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98]),c_0_73])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET703+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 06:06:31 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.67/2.38  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.67/2.38  # No SInE strategy applied
% 7.67/2.38  # Trying AutoSched0 for 150 seconds
% 7.67/2.38  # AutoSched0-Mode selected heuristic G_E___208_C09_12_F1_SE_CS_SP_PS_S070I
% 7.67/2.38  # and selection function SelectVGNonCR.
% 7.67/2.38  #
% 7.67/2.38  # Preprocessing time       : 0.023 s
% 7.67/2.38  # Presaturation interreduction done
% 7.67/2.38  
% 7.67/2.38  # Proof found!
% 7.67/2.38  # SZS status Theorem
% 7.67/2.38  # SZS output start CNFRefutation
% See solution above
% 7.67/2.38  # Training examples: 0 positive, 0 negative
% 7.67/2.38  
% 7.67/2.38  # -------------------------------------------------
% 7.67/2.38  # User time                : 0.053 s
% 7.67/2.38  # System time              : 0.011 s
% 7.67/2.38  # Total time               : 0.064 s
% 7.67/2.38  # Maximum resident set size: 7120 pages
% 7.67/2.38  
%------------------------------------------------------------------------------