TSTP Solution File: SEU359+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU359+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 08:41:29 EDT 2022

% Result   : Theorem 7.33s 2.21s
% Output   : CNFRefutation 7.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   80 (  14 unt;  44 nHn;  78 RR)
%            Number of literals    :  255 (  41 equ; 126 neg)
%            Maximal clause size   :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   66 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2,plain,
    ( X1 = join_on_relstr(X2,X3)
    | relstr_set_smaller(X2,X3,esk1_3(X2,X3,X1))
    | ~ rel_str(X2)
    | ~ ex_sup_of_relstr_set(X2,X3)
    | ~ relstr_set_smaller(X2,X3,X1)
    | ~ element(X1,the_carrier(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2r242z8l/lgb.p',i_0_2) ).

cnf(i_0_34,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | relstr_set_smaller(esk7_0,esk9_0,esk8_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2r242z8l/lgb.p',i_0_34) ).

cnf(i_0_36,negated_conjecture,
    rel_str(esk7_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2r242z8l/lgb.p',i_0_36) ).

cnf(i_0_35,negated_conjecture,
    element(esk8_0,the_carrier(esk7_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2r242z8l/lgb.p',i_0_35) ).

cnf(i_0_15,plain,
    ( ex_sup_of_relstr_set(X1,X2)
    | relstr_set_smaller(X1,X2,esk6_3(X1,X2,X3))
    | ~ rel_str(X1)
    | ~ antisymmetric_relstr(X1)
    | ~ relstr_set_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2r242z8l/lgb.p',i_0_15) ).

cnf(i_0_37,negated_conjecture,
    antisymmetric_relstr(esk7_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2r242z8l/lgb.p',i_0_37) ).

cnf(i_0_16,plain,
    ( ex_sup_of_relstr_set(X1,X2)
    | element(esk6_3(X1,X2,X3),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ antisymmetric_relstr(X1)
    | ~ relstr_set_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2r242z8l/lgb.p',i_0_16) ).

cnf(i_0_33,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | related(esk7_0,esk8_0,X1)
    | ~ element(X1,the_carrier(esk7_0))
    | ~ relstr_set_smaller(esk7_0,esk9_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2r242z8l/lgb.p',i_0_33) ).

cnf(i_0_14,plain,
    ( ex_sup_of_relstr_set(X1,X2)
    | ~ rel_str(X1)
    | ~ antisymmetric_relstr(X1)
    | ~ relstr_set_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1))
    | ~ related(X1,X3,esk6_3(X1,X2,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2r242z8l/lgb.p',i_0_14) ).

cnf(i_0_31,negated_conjecture,
    ( ex_sup_of_relstr_set(esk7_0,esk9_0)
    | relstr_set_smaller(esk7_0,esk9_0,esk8_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2r242z8l/lgb.p',i_0_31) ).

cnf(i_0_3,plain,
    ( X1 = join_on_relstr(X2,X3)
    | element(esk1_3(X2,X3,X1),the_carrier(X2))
    | ~ rel_str(X2)
    | ~ ex_sup_of_relstr_set(X2,X3)
    | ~ relstr_set_smaller(X2,X3,X1)
    | ~ element(X1,the_carrier(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2r242z8l/lgb.p',i_0_3) ).

cnf(i_0_1,plain,
    ( X1 = join_on_relstr(X2,X3)
    | ~ rel_str(X2)
    | ~ ex_sup_of_relstr_set(X2,X3)
    | ~ relstr_set_smaller(X2,X3,X1)
    | ~ element(X1,the_carrier(X2))
    | ~ related(X2,X1,esk1_3(X2,X3,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2r242z8l/lgb.p',i_0_1) ).

cnf(i_0_5,plain,
    ( relstr_set_smaller(X1,X2,X3)
    | X3 != join_on_relstr(X1,X2)
    | ~ rel_str(X1)
    | ~ ex_sup_of_relstr_set(X1,X2)
    | ~ element(X3,the_carrier(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2r242z8l/lgb.p',i_0_5) ).

cnf(i_0_6,plain,
    ( element(join_on_relstr(X1,X2),the_carrier(X1))
    | ~ rel_str(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2r242z8l/lgb.p',i_0_6) ).

cnf(i_0_23,negated_conjecture,
    ( relstr_set_smaller(esk7_0,esk9_0,esk10_0)
    | join_on_relstr(esk7_0,esk9_0) != esk8_0
    | ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
    | ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2r242z8l/lgb.p',i_0_23) ).

cnf(i_0_24,negated_conjecture,
    ( related(esk7_0,esk8_0,X1)
    | relstr_set_smaller(esk7_0,esk9_0,esk10_0)
    | ~ element(X1,the_carrier(esk7_0))
    | ~ relstr_set_smaller(esk7_0,esk9_0,X1)
    | ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2r242z8l/lgb.p',i_0_24) ).

cnf(i_0_4,plain,
    ( related(X1,X2,X3)
    | X2 != join_on_relstr(X1,X4)
    | ~ rel_str(X1)
    | ~ ex_sup_of_relstr_set(X1,X4)
    | ~ relstr_set_smaller(X1,X4,X3)
    | ~ element(X2,the_carrier(X1))
    | ~ element(X3,the_carrier(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2r242z8l/lgb.p',i_0_4) ).

cnf(i_0_26,negated_conjecture,
    ( element(esk10_0,the_carrier(esk7_0))
    | join_on_relstr(esk7_0,esk9_0) != esk8_0
    | ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
    | ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2r242z8l/lgb.p',i_0_26) ).

cnf(i_0_20,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) != esk8_0
    | ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
    | ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0)
    | ~ related(esk7_0,esk8_0,esk10_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2r242z8l/lgb.p',i_0_20) ).

cnf(i_0_30,negated_conjecture,
    ( ex_sup_of_relstr_set(esk7_0,esk9_0)
    | related(esk7_0,esk8_0,X1)
    | ~ element(X1,the_carrier(esk7_0))
    | ~ relstr_set_smaller(esk7_0,esk9_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2r242z8l/lgb.p',i_0_30) ).

cnf(c_0_58,plain,
    ( X1 = join_on_relstr(X2,X3)
    | relstr_set_smaller(X2,X3,esk1_3(X2,X3,X1))
    | ~ rel_str(X2)
    | ~ ex_sup_of_relstr_set(X2,X3)
    | ~ relstr_set_smaller(X2,X3,X1)
    | ~ element(X1,the_carrier(X2)) ),
    i_0_2 ).

cnf(c_0_59,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | relstr_set_smaller(esk7_0,esk9_0,esk8_0) ),
    i_0_34 ).

cnf(c_0_60,negated_conjecture,
    rel_str(esk7_0),
    i_0_36 ).

cnf(c_0_61,negated_conjecture,
    element(esk8_0,the_carrier(esk7_0)),
    i_0_35 ).

cnf(c_0_62,plain,
    ( ex_sup_of_relstr_set(X1,X2)
    | relstr_set_smaller(X1,X2,esk6_3(X1,X2,X3))
    | ~ rel_str(X1)
    | ~ antisymmetric_relstr(X1)
    | ~ relstr_set_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1)) ),
    i_0_15 ).

cnf(c_0_63,negated_conjecture,
    antisymmetric_relstr(esk7_0),
    i_0_37 ).

cnf(c_0_64,plain,
    ( ex_sup_of_relstr_set(X1,X2)
    | element(esk6_3(X1,X2,X3),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ antisymmetric_relstr(X1)
    | ~ relstr_set_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1)) ),
    i_0_16 ).

cnf(c_0_65,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0))
    | ~ ex_sup_of_relstr_set(esk7_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_61])]) ).

cnf(c_0_66,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
    | ex_sup_of_relstr_set(esk7_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_59]),c_0_63]),c_0_60]),c_0_61])]) ).

cnf(c_0_67,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | element(esk6_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0))
    | ex_sup_of_relstr_set(esk7_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_59]),c_0_63]),c_0_60]),c_0_61])]) ).

cnf(c_0_68,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | related(esk7_0,esk8_0,X1)
    | ~ element(X1,the_carrier(esk7_0))
    | ~ relstr_set_smaller(esk7_0,esk9_0,X1) ),
    i_0_33 ).

cnf(c_0_69,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
    | relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0)) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_70,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | element(esk6_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0))
    | relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0)) ),
    inference(spm,[status(thm)],[c_0_65,c_0_67]) ).

cnf(c_0_71,plain,
    ( ex_sup_of_relstr_set(X1,X2)
    | ~ rel_str(X1)
    | ~ antisymmetric_relstr(X1)
    | ~ relstr_set_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1))
    | ~ related(X1,X3,esk6_3(X1,X2,X3)) ),
    i_0_14 ).

cnf(c_0_72,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | related(esk7_0,esk8_0,esk6_3(esk7_0,esk9_0,esk8_0))
    | relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).

cnf(c_0_73,negated_conjecture,
    ( ex_sup_of_relstr_set(esk7_0,esk9_0)
    | relstr_set_smaller(esk7_0,esk9_0,esk8_0) ),
    i_0_31 ).

cnf(c_0_74,plain,
    ( X1 = join_on_relstr(X2,X3)
    | element(esk1_3(X2,X3,X1),the_carrier(X2))
    | ~ rel_str(X2)
    | ~ ex_sup_of_relstr_set(X2,X3)
    | ~ relstr_set_smaller(X2,X3,X1)
    | ~ element(X1,the_carrier(X2)) ),
    i_0_3 ).

cnf(c_0_75,plain,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | relstr_set_smaller(esk7_0,esk9_0,esk1_3(esk7_0,esk9_0,esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_63]),c_0_60]),c_0_61])]),c_0_73]),c_0_65]) ).

cnf(c_0_76,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0))
    | ~ ex_sup_of_relstr_set(esk7_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_59]),c_0_60]),c_0_61])]) ).

cnf(c_0_77,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | related(esk7_0,esk8_0,esk1_3(esk7_0,esk9_0,esk8_0))
    | ~ element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)) ),
    inference(spm,[status(thm)],[c_0_68,c_0_75]) ).

cnf(c_0_78,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0))
    | relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0)) ),
    inference(spm,[status(thm)],[c_0_76,c_0_66]) ).

cnf(c_0_79,plain,
    ( X1 = join_on_relstr(X2,X3)
    | ~ rel_str(X2)
    | ~ ex_sup_of_relstr_set(X2,X3)
    | ~ relstr_set_smaller(X2,X3,X1)
    | ~ element(X1,the_carrier(X2))
    | ~ related(X2,X1,esk1_3(X2,X3,X1)) ),
    i_0_1 ).

cnf(c_0_80,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | related(esk7_0,esk8_0,esk1_3(esk7_0,esk9_0,esk8_0))
    | relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0)) ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_81,plain,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_60]),c_0_61])]),c_0_66]),c_0_59]) ).

cnf(c_0_82,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | related(esk7_0,esk8_0,esk6_3(esk7_0,esk9_0,esk8_0))
    | ~ element(esk6_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)) ),
    inference(spm,[status(thm)],[c_0_68,c_0_81]) ).

cnf(c_0_83,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | element(esk6_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0))
    | element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)) ),
    inference(spm,[status(thm)],[c_0_76,c_0_67]) ).

cnf(c_0_84,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0))
    | related(esk7_0,esk8_0,esk6_3(esk7_0,esk9_0,esk8_0)) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_85,plain,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | element(esk1_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_84]),c_0_63]),c_0_60]),c_0_61])]),c_0_73]),c_0_76]) ).

cnf(c_0_86,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | related(esk7_0,esk8_0,esk1_3(esk7_0,esk9_0,esk8_0)) ),
    inference(spm,[status(thm)],[c_0_77,c_0_85]) ).

cnf(c_0_87,plain,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | ~ ex_sup_of_relstr_set(esk7_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_86]),c_0_60]),c_0_61])]),c_0_59]) ).

cnf(c_0_88,plain,
    ( relstr_set_smaller(X1,X2,X3)
    | X3 != join_on_relstr(X1,X2)
    | ~ rel_str(X1)
    | ~ ex_sup_of_relstr_set(X1,X2)
    | ~ element(X3,the_carrier(X1)) ),
    i_0_5 ).

cnf(c_0_89,plain,
    ( element(join_on_relstr(X1,X2),the_carrier(X1))
    | ~ rel_str(X1) ),
    i_0_6 ).

cnf(c_0_90,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | element(esk6_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)) ),
    inference(spm,[status(thm)],[c_0_87,c_0_67]) ).

cnf(c_0_91,plain,
    ( relstr_set_smaller(X1,X2,join_on_relstr(X1,X2))
    | ~ rel_str(X1)
    | ~ ex_sup_of_relstr_set(X1,X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_88]),c_0_89]) ).

cnf(c_0_92,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) = esk8_0
    | related(esk7_0,esk8_0,esk6_3(esk7_0,esk9_0,esk8_0)) ),
    inference(spm,[status(thm)],[c_0_82,c_0_90]) ).

cnf(c_0_93,negated_conjecture,
    ( relstr_set_smaller(esk7_0,esk9_0,join_on_relstr(esk7_0,esk9_0))
    | relstr_set_smaller(esk7_0,esk9_0,esk8_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_73]),c_0_60])]) ).

cnf(c_0_94,plain,
    join_on_relstr(esk7_0,esk9_0) = esk8_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_92]),c_0_63]),c_0_60]),c_0_61])]),c_0_73]),c_0_87]) ).

cnf(c_0_95,negated_conjecture,
    ( relstr_set_smaller(esk7_0,esk9_0,esk10_0)
    | join_on_relstr(esk7_0,esk9_0) != esk8_0
    | ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
    | ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0) ),
    i_0_23 ).

cnf(c_0_96,negated_conjecture,
    relstr_set_smaller(esk7_0,esk9_0,esk8_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94])]) ).

cnf(c_0_97,negated_conjecture,
    ( related(esk7_0,esk8_0,X1)
    | relstr_set_smaller(esk7_0,esk9_0,esk10_0)
    | ~ element(X1,the_carrier(esk7_0))
    | ~ relstr_set_smaller(esk7_0,esk9_0,X1)
    | ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0) ),
    i_0_24 ).

cnf(c_0_98,negated_conjecture,
    ( relstr_set_smaller(esk7_0,esk9_0,esk10_0)
    | ~ ex_sup_of_relstr_set(esk7_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_94])]),c_0_96])]) ).

cnf(c_0_99,plain,
    ( relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
    | ex_sup_of_relstr_set(esk7_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_96]),c_0_63]),c_0_60]),c_0_61])]) ).

cnf(c_0_100,plain,
    ( element(esk6_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0))
    | ex_sup_of_relstr_set(esk7_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_96]),c_0_63]),c_0_60]),c_0_61])]) ).

cnf(c_0_101,negated_conjecture,
    ( related(esk7_0,esk8_0,X1)
    | relstr_set_smaller(esk7_0,esk9_0,esk10_0)
    | ~ element(X1,the_carrier(esk7_0))
    | ~ relstr_set_smaller(esk7_0,esk9_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_96])]) ).

cnf(c_0_102,negated_conjecture,
    ( relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0))
    | relstr_set_smaller(esk7_0,esk9_0,esk10_0) ),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_103,negated_conjecture,
    ( element(esk6_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0))
    | relstr_set_smaller(esk7_0,esk9_0,esk10_0) ),
    inference(spm,[status(thm)],[c_0_98,c_0_100]) ).

cnf(c_0_104,plain,
    ( related(X1,X2,X3)
    | X2 != join_on_relstr(X1,X4)
    | ~ rel_str(X1)
    | ~ ex_sup_of_relstr_set(X1,X4)
    | ~ relstr_set_smaller(X1,X4,X3)
    | ~ element(X2,the_carrier(X1))
    | ~ element(X3,the_carrier(X1)) ),
    i_0_4 ).

cnf(c_0_105,negated_conjecture,
    ( related(esk7_0,esk8_0,esk6_3(esk7_0,esk9_0,esk8_0))
    | relstr_set_smaller(esk7_0,esk9_0,esk10_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).

cnf(c_0_106,negated_conjecture,
    ( element(esk10_0,the_carrier(esk7_0))
    | join_on_relstr(esk7_0,esk9_0) != esk8_0
    | ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
    | ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0) ),
    i_0_26 ).

cnf(c_0_107,negated_conjecture,
    ( join_on_relstr(esk7_0,esk9_0) != esk8_0
    | ~ ex_sup_of_relstr_set(esk7_0,esk9_0)
    | ~ relstr_set_smaller(esk7_0,esk9_0,esk8_0)
    | ~ related(esk7_0,esk8_0,esk10_0) ),
    i_0_20 ).

cnf(c_0_108,plain,
    ( related(X1,join_on_relstr(X1,X2),X3)
    | ~ rel_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_set_smaller(X1,X2,X3)
    | ~ ex_sup_of_relstr_set(X1,X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_104]),c_0_89]) ).

cnf(c_0_109,plain,
    relstr_set_smaller(esk7_0,esk9_0,esk10_0),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_105]),c_0_63]),c_0_60]),c_0_61]),c_0_96])]),c_0_98]) ).

cnf(c_0_110,negated_conjecture,
    ( element(esk10_0,the_carrier(esk7_0))
    | ~ ex_sup_of_relstr_set(esk7_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_94])]),c_0_96])]) ).

cnf(c_0_111,negated_conjecture,
    ( ~ related(esk7_0,esk8_0,esk10_0)
    | ~ ex_sup_of_relstr_set(esk7_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_94])]),c_0_96])]) ).

cnf(c_0_112,plain,
    ~ ex_sup_of_relstr_set(esk7_0,esk9_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_94]),c_0_60])]),c_0_110]),c_0_111]) ).

cnf(c_0_113,negated_conjecture,
    ( ex_sup_of_relstr_set(esk7_0,esk9_0)
    | related(esk7_0,esk8_0,X1)
    | ~ element(X1,the_carrier(esk7_0))
    | ~ relstr_set_smaller(esk7_0,esk9_0,X1) ),
    i_0_30 ).

cnf(c_0_114,plain,
    relstr_set_smaller(esk7_0,esk9_0,esk6_3(esk7_0,esk9_0,esk8_0)),
    inference(sr,[status(thm)],[c_0_99,c_0_112]) ).

cnf(c_0_115,plain,
    element(esk6_3(esk7_0,esk9_0,esk8_0),the_carrier(esk7_0)),
    inference(sr,[status(thm)],[c_0_100,c_0_112]) ).

cnf(c_0_116,negated_conjecture,
    related(esk7_0,esk8_0,esk6_3(esk7_0,esk9_0,esk8_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_112]),c_0_115])]) ).

cnf(c_0_117,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_116]),c_0_63]),c_0_60]),c_0_61]),c_0_96])]),c_0_112]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : SEU359+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.10  % Command  : enigmatic-eprover.py %s %d 1
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Sun Jun 19 09:35:49 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.15/0.38  # ENIGMATIC: Selected complete mode:
% 7.33/2.21  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.33/2.21  # No SInE strategy applied
% 7.33/2.21  # Trying AutoSched0 for 150 seconds
% 7.33/2.21  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 7.33/2.21  # and selection function SelectCQArNTNpEqFirst.
% 7.33/2.21  #
% 7.33/2.21  # Preprocessing time       : 0.014 s
% 7.33/2.21  # Presaturation interreduction done
% 7.33/2.21  
% 7.33/2.21  # Proof found!
% 7.33/2.21  # SZS status Theorem
% 7.33/2.21  # SZS output start CNFRefutation
% See solution above
% 7.33/2.21  # Training examples: 0 positive, 0 negative
% 7.33/2.21  
% 7.33/2.21  # -------------------------------------------------
% 7.33/2.21  # User time                : 0.026 s
% 7.33/2.21  # System time              : 0.003 s
% 7.33/2.21  # Total time               : 0.029 s
% 7.33/2.21  # Maximum resident set size: 7128 pages
% 7.33/2.21  
%------------------------------------------------------------------------------