TSTP Solution File: SEU357+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU357+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 08:41:18 EDT 2022

% Result   : Theorem 8.90s 2.58s
% Output   : CNFRefutation 8.90s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_17,plain,
    ( relstr_element_smaller(X1,X2,esk1_2(X1,X2))
    | ~ rel_str(X1)
    | ~ ex_inf_of_relstr_set(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_17) ).

cnf(i_0_27,negated_conjecture,
    ( ex_inf_of_relstr_set(esk8_0,esk9_0)
    | relstr_element_smaller(esk8_0,esk9_0,esk11_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_27) ).

cnf(i_0_32,negated_conjecture,
    rel_str(esk8_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_32) ).

cnf(i_0_18,plain,
    ( element(esk1_2(X1,X2),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ ex_inf_of_relstr_set(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_18) ).

cnf(i_0_28,negated_conjecture,
    ( ex_inf_of_relstr_set(esk8_0,esk9_0)
    | element(esk11_0,the_carrier(esk8_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_28) ).

cnf(i_0_30,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(X1))
    | ~ ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ element(X1,the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_30) ).

cnf(i_0_31,negated_conjecture,
    ( element(esk10_1(X1),the_carrier(esk8_0))
    | ~ ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ element(X1,the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_31) ).

cnf(i_0_16,plain,
    ( related(X1,X2,esk1_2(X1,X3))
    | ~ rel_str(X1)
    | ~ ex_inf_of_relstr_set(X1,X3)
    | ~ relstr_element_smaller(X1,X3,X2)
    | ~ element(X2,the_carrier(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_16) ).

cnf(i_0_29,negated_conjecture,
    ( ~ ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ element(X1,the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ related(esk8_0,esk10_1(X1),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_29) ).

cnf(i_0_8,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | relstr_element_smaller(X1,X2,esk3_3(X1,X2,X3))
    | element(esk4_3(X1,X2,X3),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_8) ).

cnf(i_0_12,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | element(esk3_3(X1,X2,X3),the_carrier(X1))
    | element(esk4_3(X1,X2,X3),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_12) ).

cnf(i_0_26,negated_conjecture,
    ( ex_inf_of_relstr_set(esk8_0,esk9_0)
    | related(esk8_0,X1,esk11_0)
    | ~ element(X1,the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_26) ).

cnf(i_0_6,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | relstr_element_smaller(X1,X2,esk3_3(X1,X2,X3))
    | related(X1,X4,esk4_3(X1,X2,X3))
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ relstr_element_smaller(X1,X2,X4)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X4,the_carrier(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_6) ).

cnf(i_0_7,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | relstr_element_smaller(X1,X2,esk3_3(X1,X2,X3))
    | relstr_element_smaller(X1,X2,esk4_3(X1,X2,X3))
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_7) ).

cnf(i_0_4,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | element(esk4_3(X1,X2,X3),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1))
    | ~ related(X1,esk3_3(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_4) ).

cnf(i_0_10,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | related(X1,X3,esk4_3(X1,X2,X4))
    | element(esk3_3(X1,X2,X4),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X4)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X4,the_carrier(X1))
    | ~ element(X3,the_carrier(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_10) ).

cnf(i_0_11,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | relstr_element_smaller(X1,X2,esk4_3(X1,X2,X3))
    | element(esk3_3(X1,X2,X3),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_11) ).

cnf(i_0_34,plain,
    ( X1 = X2
    | ~ rel_str(X3)
    | ~ antisymmetric_relstr(X3)
    | ~ related(X3,X2,X1)
    | ~ related(X3,X1,X2)
    | ~ element(X2,the_carrier(X3))
    | ~ element(X1,the_carrier(X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_34) ).

cnf(i_0_33,negated_conjecture,
    antisymmetric_relstr(esk8_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_33) ).

cnf(i_0_2,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | related(X1,X3,esk4_3(X1,X2,X4))
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X4)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X4,the_carrier(X1))
    | ~ element(X3,the_carrier(X1))
    | ~ related(X1,esk3_3(X1,X2,X4),X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_2) ).

cnf(i_0_3,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | relstr_element_smaller(X1,X2,esk4_3(X1,X2,X3))
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1))
    | ~ related(X1,esk3_3(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_3) ).

cnf(i_0_5,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | relstr_element_smaller(X1,X2,esk3_3(X1,X2,X3))
    | esk4_3(X1,X2,X3) != X3
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_5) ).

cnf(i_0_9,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | element(esk3_3(X1,X2,X3),the_carrier(X1))
    | esk4_3(X1,X2,X3) != X3
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_9) ).

cnf(i_0_1,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | esk4_3(X1,X2,X3) != X3
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1))
    | ~ related(X1,esk3_3(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-q1koltpb/lgb.p',i_0_1) ).

cnf(c_0_59,plain,
    ( relstr_element_smaller(X1,X2,esk1_2(X1,X2))
    | ~ rel_str(X1)
    | ~ ex_inf_of_relstr_set(X1,X2) ),
    i_0_17 ).

cnf(c_0_60,negated_conjecture,
    ( ex_inf_of_relstr_set(esk8_0,esk9_0)
    | relstr_element_smaller(esk8_0,esk9_0,esk11_0) ),
    i_0_27 ).

cnf(c_0_61,negated_conjecture,
    rel_str(esk8_0),
    i_0_32 ).

cnf(c_0_62,plain,
    ( element(esk1_2(X1,X2),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ ex_inf_of_relstr_set(X1,X2) ),
    i_0_18 ).

cnf(c_0_63,negated_conjecture,
    ( ex_inf_of_relstr_set(esk8_0,esk9_0)
    | element(esk11_0,the_carrier(esk8_0)) ),
    i_0_28 ).

cnf(c_0_64,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(X1))
    | ~ ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ element(X1,the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1) ),
    i_0_30 ).

cnf(c_0_65,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk11_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).

cnf(c_0_66,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk11_0)
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_60]),c_0_61])]) ).

cnf(c_0_67,negated_conjecture,
    ( element(esk10_1(X1),the_carrier(esk8_0))
    | ~ ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ element(X1,the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1) ),
    i_0_31 ).

cnf(c_0_68,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk11_0,the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_63]),c_0_61])]) ).

cnf(c_0_69,negated_conjecture,
    ( element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | element(esk11_0,the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_61])]) ).

cnf(c_0_70,plain,
    ( related(X1,X2,esk1_2(X1,X3))
    | ~ rel_str(X1)
    | ~ ex_inf_of_relstr_set(X1,X3)
    | ~ relstr_element_smaller(X1,X3,X2)
    | ~ element(X2,the_carrier(X1)) ),
    i_0_16 ).

cnf(c_0_71,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
    | relstr_element_smaller(esk8_0,esk9_0,esk11_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_60]),c_0_66]) ).

cnf(c_0_72,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk11_0)
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_65]),c_0_60]),c_0_66]) ).

cnf(c_0_73,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
    | element(esk11_0,the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_68]),c_0_63]),c_0_69]) ).

cnf(c_0_74,negated_conjecture,
    ( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk11_0,the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_63]),c_0_69]) ).

cnf(c_0_75,negated_conjecture,
    ( ~ ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ element(X1,the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ related(esk8_0,esk10_1(X1),X1) ),
    i_0_29 ).

cnf(c_0_76,plain,
    ( related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk11_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_61])]),c_0_60]),c_0_72]) ).

cnf(c_0_77,plain,
    ( related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0))
    | element(esk11_0,the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_73]),c_0_61])]),c_0_63]),c_0_74]) ).

cnf(c_0_78,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | relstr_element_smaller(X1,X2,esk3_3(X1,X2,X3))
    | element(esk4_3(X1,X2,X3),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1)) ),
    i_0_8 ).

cnf(c_0_79,negated_conjecture,
    relstr_element_smaller(esk8_0,esk9_0,esk11_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_60]),c_0_66]),c_0_65]) ).

cnf(c_0_80,negated_conjecture,
    element(esk11_0,the_carrier(esk8_0)),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_77]),c_0_63]),c_0_69]),c_0_68]) ).

cnf(c_0_81,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | element(esk3_3(X1,X2,X3),the_carrier(X1))
    | element(esk4_3(X1,X2,X3),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1)) ),
    i_0_12 ).

cnf(c_0_82,plain,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_61]),c_0_80])]) ).

cnf(c_0_83,plain,
    ( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_79]),c_0_61]),c_0_80])]) ).

cnf(c_0_84,negated_conjecture,
    ( ex_inf_of_relstr_set(esk8_0,esk9_0)
    | related(esk8_0,X1,esk11_0)
    | ~ element(X1,the_carrier(esk8_0))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1) ),
    i_0_26 ).

cnf(c_0_85,plain,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_82]),c_0_61])]) ).

cnf(c_0_86,plain,
    ( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_83]),c_0_61])]) ).

cnf(c_0_87,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | relstr_element_smaller(X1,X2,esk3_3(X1,X2,X3))
    | related(X1,X4,esk4_3(X1,X2,X3))
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ relstr_element_smaller(X1,X2,X4)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X4,the_carrier(X1)) ),
    i_0_6 ).

cnf(c_0_88,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | relstr_element_smaller(X1,X2,esk3_3(X1,X2,X3))
    | relstr_element_smaller(X1,X2,esk4_3(X1,X2,X3))
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1)) ),
    i_0_7 ).

cnf(c_0_89,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | element(esk4_3(X1,X2,X3),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1))
    | ~ related(X1,esk3_3(X1,X2,X3),X3) ),
    i_0_4 ).

cnf(c_0_90,negated_conjecture,
    ( related(esk8_0,esk3_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).

cnf(c_0_91,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | related(X1,X3,esk4_3(X1,X2,X4))
    | element(esk3_3(X1,X2,X4),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X4)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X4,the_carrier(X1))
    | ~ element(X3,the_carrier(X1)) ),
    i_0_10 ).

cnf(c_0_92,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | relstr_element_smaller(X1,X2,esk4_3(X1,X2,X3))
    | element(esk3_3(X1,X2,X3),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1)) ),
    i_0_11 ).

cnf(c_0_93,plain,
    ( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,X1))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,X1))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_79]),c_0_61]),c_0_80])]) ).

cnf(c_0_94,plain,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_79]),c_0_61]),c_0_80])]) ).

cnf(c_0_95,plain,
    ( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_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_89,c_0_90]),c_0_61]),c_0_79]),c_0_80])]) ).

cnf(c_0_96,plain,
    ( related(esk8_0,X1,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_79]),c_0_61]),c_0_80])]) ).

cnf(c_0_97,plain,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_79]),c_0_61]),c_0_80])]) ).

cnf(c_0_98,plain,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_82]),c_0_61])]) ).

cnf(c_0_99,plain,
    ( relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_83]),c_0_61])]) ).

cnf(c_0_100,plain,
    ( X1 = X2
    | ~ rel_str(X3)
    | ~ antisymmetric_relstr(X3)
    | ~ related(X3,X2,X1)
    | ~ related(X3,X1,X2)
    | ~ element(X2,the_carrier(X3))
    | ~ element(X1,the_carrier(X3)) ),
    i_0_34 ).

cnf(c_0_101,negated_conjecture,
    ( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_79]),c_0_80])]) ).

cnf(c_0_102,negated_conjecture,
    antisymmetric_relstr(esk8_0),
    i_0_33 ).

cnf(c_0_103,plain,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_94]),c_0_61])]) ).

cnf(c_0_104,plain,
    ( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_95]),c_0_61])]) ).

cnf(c_0_105,negated_conjecture,
    ( related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_79]),c_0_80])]) ).

cnf(c_0_106,plain,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_97]),c_0_61])]) ).

cnf(c_0_107,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_98]),c_0_82]),c_0_85]) ).

cnf(c_0_108,negated_conjecture,
    ( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_99]),c_0_83]),c_0_86]) ).

cnf(c_0_109,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0) ),
    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_100,c_0_101]),c_0_102]),c_0_61]),c_0_80])]),c_0_82]) ).

cnf(c_0_110,negated_conjecture,
    ( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_103]),c_0_104]) ).

cnf(c_0_111,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0) ),
    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_100,c_0_105]),c_0_102]),c_0_61]),c_0_80])]),c_0_83]) ).

cnf(c_0_112,negated_conjecture,
    ( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_106]),c_0_104]) ).

cnf(c_0_113,negated_conjecture,
    ( related(esk8_0,esk3_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_107]),c_0_108]) ).

cnf(c_0_114,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_115,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_116,plain,
    ( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_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_89,c_0_113]),c_0_61]),c_0_79]),c_0_80])]) ).

cnf(c_0_117,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_114]),c_0_61])]) ).

cnf(c_0_118,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_115]),c_0_61])]) ).

cnf(c_0_119,plain,
    ( relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_116]),c_0_61])]) ).

cnf(c_0_120,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | related(X1,X3,esk4_3(X1,X2,X4))
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X4)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X4,the_carrier(X1))
    | ~ element(X3,the_carrier(X1))
    | ~ related(X1,esk3_3(X1,X2,X4),X4) ),
    i_0_2 ).

cnf(c_0_121,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | related(esk8_0,esk3_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_117]),c_0_118]) ).

cnf(c_0_122,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_98]),c_0_82]),c_0_85]) ).

cnf(c_0_123,negated_conjecture,
    ( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_119]),c_0_116]),c_0_104]) ).

cnf(c_0_124,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_99]),c_0_83]),c_0_86]) ).

cnf(c_0_125,plain,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_94]),c_0_61])]) ).

cnf(c_0_126,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | relstr_element_smaller(X1,X2,esk4_3(X1,X2,X3))
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1))
    | ~ related(X1,esk3_3(X1,X2,X3),X3) ),
    i_0_3 ).

cnf(c_0_127,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | related(esk8_0,X1,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_61]),c_0_79]),c_0_80])]) ).

cnf(c_0_128,plain,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_97]),c_0_61])]) ).

cnf(c_0_129,plain,
    ( related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_122]),c_0_61])]),c_0_82]),c_0_123]) ).

cnf(c_0_130,plain,
    ( related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_124]),c_0_61])]),c_0_83]),c_0_123]) ).

cnf(c_0_131,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_125]),c_0_94]),c_0_103]) ).

cnf(c_0_132,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_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_126,c_0_121]),c_0_61]),c_0_79]),c_0_80])]) ).

cnf(c_0_133,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_79]),c_0_80])]) ).

cnf(c_0_134,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_128]),c_0_97]),c_0_106]) ).

cnf(c_0_135,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_129]),c_0_82]),c_0_104]),c_0_98]) ).

cnf(c_0_136,negated_conjecture,
    ( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_130]),c_0_83]),c_0_104]),c_0_99]) ).

cnf(c_0_137,negated_conjecture,
    ( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_131]),c_0_123]) ).

cnf(c_0_138,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_132]),c_0_61])]) ).

cnf(c_0_139,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0) ),
    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_100,c_0_133]),c_0_102]),c_0_61]),c_0_80])]),c_0_104]) ).

cnf(c_0_140,negated_conjecture,
    ( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_134]),c_0_123]) ).

cnf(c_0_141,negated_conjecture,
    ( related(esk8_0,esk3_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_135]),c_0_136]) ).

cnf(c_0_142,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_109,c_0_137]) ).

cnf(c_0_143,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_138]),c_0_104]),c_0_139]) ).

cnf(c_0_144,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_140]) ).

cnf(c_0_145,plain,
    ( element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_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_89,c_0_141]),c_0_61]),c_0_79]),c_0_80])]) ).

cnf(c_0_146,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_142]),c_0_61])]) ).

cnf(c_0_147,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_143]),c_0_61])]) ).

cnf(c_0_148,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_144]),c_0_61])]) ).

cnf(c_0_149,plain,
    ( relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_145]),c_0_61])]) ).

cnf(c_0_150,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_146]),c_0_142]),c_0_147]) ).

cnf(c_0_151,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_148]),c_0_144]),c_0_147]) ).

cnf(c_0_152,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_125]),c_0_94]),c_0_103]) ).

cnf(c_0_153,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_149]),c_0_145]),c_0_104]) ).

cnf(c_0_154,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | related(esk8_0,esk3_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_150]),c_0_151]) ).

cnf(c_0_155,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_128]),c_0_97]),c_0_106]) ).

cnf(c_0_156,plain,
    ( related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_152]),c_0_61])]),c_0_94]),c_0_131]) ).

cnf(c_0_157,plain,
    ( related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0))
    | element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_153]),c_0_61])]),c_0_145]),c_0_123]) ).

cnf(c_0_158,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_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_126,c_0_154]),c_0_61]),c_0_79]),c_0_80])]) ).

cnf(c_0_159,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | related(esk8_0,X1,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_154]),c_0_61]),c_0_79]),c_0_80])]) ).

cnf(c_0_160,plain,
    ( related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_155]),c_0_61])]),c_0_97]),c_0_134]) ).

cnf(c_0_161,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_156]),c_0_94]),c_0_103]),c_0_125]) ).

cnf(c_0_162,negated_conjecture,
    element(esk4_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_157]),c_0_145]),c_0_104]),c_0_149]) ).

cnf(c_0_163,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_158]),c_0_61])]) ).

cnf(c_0_164,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_79]),c_0_80])]) ).

cnf(c_0_165,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_160]),c_0_97]),c_0_106]),c_0_128]) ).

cnf(c_0_166,negated_conjecture,
    ( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_161]),c_0_162])]) ).

cnf(c_0_167,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_163]),c_0_158]),c_0_147]) ).

cnf(c_0_168,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0) ),
    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_100,c_0_164]),c_0_102]),c_0_61]),c_0_80])]),c_0_123]) ).

cnf(c_0_169,negated_conjecture,
    ( related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_165]),c_0_162])]) ).

cnf(c_0_170,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_109,c_0_166]) ).

cnf(c_0_171,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_167]),c_0_123]),c_0_168]) ).

cnf(c_0_172,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_169]) ).

cnf(c_0_173,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_170]),c_0_61])]) ).

cnf(c_0_174,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_171]),c_0_61])]) ).

cnf(c_0_175,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_172]),c_0_61])]) ).

cnf(c_0_176,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_173]),c_0_170]),c_0_147]) ).

cnf(c_0_177,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_174]),c_0_171]),c_0_147]) ).

cnf(c_0_178,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_175]),c_0_172]),c_0_147]) ).

cnf(c_0_179,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_176]),c_0_61])]),c_0_170]),c_0_177]) ).

cnf(c_0_180,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_178]),c_0_61])]),c_0_172]),c_0_177]) ).

cnf(c_0_181,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_179]),c_0_170]),c_0_147]),c_0_173]) ).

cnf(c_0_182,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_180]),c_0_172]),c_0_147]),c_0_175]) ).

cnf(c_0_183,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | related(esk8_0,esk3_3(esk8_0,esk9_0,esk11_0),esk11_0)
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_181]),c_0_182]) ).

cnf(c_0_184,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | ex_inf_of_relstr_set(esk8_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_126,c_0_183]),c_0_61]),c_0_79]),c_0_80])]) ).

cnf(c_0_185,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_184]),c_0_61])]) ).

cnf(c_0_186,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_185]),c_0_184]),c_0_147]) ).

cnf(c_0_187,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | related(esk8_0,X1,esk4_3(esk8_0,esk9_0,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_183]),c_0_61]),c_0_79]),c_0_80])]) ).

cnf(c_0_188,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_186]),c_0_61])]),c_0_184]),c_0_177]) ).

cnf(c_0_189,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | related(esk8_0,esk11_0,esk4_3(esk8_0,esk9_0,esk11_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_79]),c_0_80])]) ).

cnf(c_0_190,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk4_3(esk8_0,esk9_0,esk11_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_188]),c_0_184]),c_0_147]),c_0_185]) ).

cnf(c_0_191,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk4_3(esk8_0,esk9_0,esk11_0),esk11_0) ),
    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_100,c_0_189]),c_0_102]),c_0_61]),c_0_80]),c_0_162])]) ).

cnf(c_0_192,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_190]),c_0_162])]),c_0_191]) ).

cnf(c_0_193,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_192]),c_0_61])]) ).

cnf(c_0_194,negated_conjecture,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_193]),c_0_192]),c_0_147]) ).

cnf(c_0_195,plain,
    ( esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0
    | related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_194]),c_0_61])]),c_0_192]),c_0_177]) ).

cnf(c_0_196,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | relstr_element_smaller(X1,X2,esk3_3(X1,X2,X3))
    | esk4_3(X1,X2,X3) != X3
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1)) ),
    i_0_5 ).

cnf(c_0_197,negated_conjecture,
    esk4_3(esk8_0,esk9_0,esk11_0) = esk11_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_195]),c_0_192]),c_0_147]),c_0_193]) ).

cnf(c_0_198,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | element(esk3_3(X1,X2,X3),the_carrier(X1))
    | esk4_3(X1,X2,X3) != X3
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1)) ),
    i_0_9 ).

cnf(c_0_199,plain,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | ex_inf_of_relstr_set(esk8_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_196,c_0_197]),c_0_61]),c_0_79]),c_0_80])]) ).

cnf(c_0_200,plain,
    ( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_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_198,c_0_197]),c_0_61]),c_0_79]),c_0_80])]) ).

cnf(c_0_201,plain,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_199]),c_0_61])]) ).

cnf(c_0_202,plain,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_199]),c_0_61])]) ).

cnf(c_0_203,plain,
    ( relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_200]),c_0_61])]) ).

cnf(c_0_204,plain,
    ( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_200]),c_0_61])]) ).

cnf(c_0_205,plain,
    ( ex_inf_of_relstr_set(X1,X2)
    | esk4_3(X1,X2,X3) != X3
    | ~ rel_str(X1)
    | ~ relstr_element_smaller(X1,X2,X3)
    | ~ element(X3,the_carrier(X1))
    | ~ related(X1,esk3_3(X1,X2,X3),X3) ),
    i_0_1 ).

cnf(c_0_206,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_201]),c_0_199]),c_0_202]) ).

cnf(c_0_207,negated_conjecture,
    ( element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_203]),c_0_200]),c_0_204]) ).

cnf(c_0_208,plain,
    ( ex_inf_of_relstr_set(esk8_0,esk9_0)
    | ~ related(esk8_0,esk3_3(esk8_0,esk9_0,esk11_0),esk11_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_197]),c_0_61]),c_0_79]),c_0_80])]) ).

cnf(c_0_209,negated_conjecture,
    ( element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_206]),c_0_207]),c_0_208]) ).

cnf(c_0_210,negated_conjecture,
    ( element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0))
    | ex_inf_of_relstr_set(esk8_0,esk9_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_202]),c_0_204]),c_0_208]) ).

cnf(c_0_211,plain,
    ( relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0))
    | element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_209]),c_0_61])]) ).

cnf(c_0_212,plain,
    element(esk1_2(esk8_0,esk9_0),the_carrier(esk8_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_210]),c_0_61])]) ).

cnf(c_0_213,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_201]),c_0_199]),c_0_202]) ).

cnf(c_0_214,negated_conjecture,
    element(esk10_1(esk1_2(esk8_0,esk9_0)),the_carrier(esk8_0)),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_211]),c_0_212])]),c_0_209]) ).

cnf(c_0_215,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0)))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_203]),c_0_200]),c_0_204]) ).

cnf(c_0_216,plain,
    ( related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0))
    | relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_213]),c_0_61])]),c_0_214])]),c_0_199]) ).

cnf(c_0_217,plain,
    ( related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_0,esk9_0))
    | element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_215]),c_0_61])]),c_0_214])]),c_0_200]) ).

cnf(c_0_218,negated_conjecture,
    relstr_element_smaller(esk8_0,esk9_0,esk3_3(esk8_0,esk9_0,esk11_0)),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_216]),c_0_212])]),c_0_199]),c_0_201]) ).

cnf(c_0_219,negated_conjecture,
    element(esk3_3(esk8_0,esk9_0,esk11_0),the_carrier(esk8_0)),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_217]),c_0_212])]),c_0_200]),c_0_203]) ).

cnf(c_0_220,negated_conjecture,
    ex_inf_of_relstr_set(esk8_0,esk9_0),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_218]),c_0_219])]),c_0_208]) ).

cnf(c_0_221,negated_conjecture,
    ( relstr_element_smaller(esk8_0,esk9_0,esk10_1(X1))
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_220])]) ).

cnf(c_0_222,plain,
    relstr_element_smaller(esk8_0,esk9_0,esk1_2(esk8_0,esk9_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_220]),c_0_61])]) ).

cnf(c_0_223,plain,
    relstr_element_smaller(esk8_0,esk9_0,esk10_1(esk1_2(esk8_0,esk9_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_212])]) ).

cnf(c_0_224,negated_conjecture,
    ( ~ related(esk8_0,esk10_1(X1),X1)
    | ~ relstr_element_smaller(esk8_0,esk9_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_220])]) ).

cnf(c_0_225,plain,
    related(esk8_0,esk10_1(esk1_2(esk8_0,esk9_0)),esk1_2(esk8_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_70,c_0_223]),c_0_61]),c_0_214]),c_0_220])]) ).

cnf(c_0_226,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_222]),c_0_212])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SEU357+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jun 20 11:46:57 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected complete mode:
% 8.90/2.58  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.90/2.58  # No SInE strategy applied
% 8.90/2.58  # Trying AutoSched0 for 150 seconds
% 8.90/2.58  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 8.90/2.58  # and selection function SelectCQArNTNpEqFirst.
% 8.90/2.58  #
% 8.90/2.58  # Preprocessing time       : 0.022 s
% 8.90/2.58  # Presaturation interreduction done
% 8.90/2.58  
% 8.90/2.58  # Proof found!
% 8.90/2.58  # SZS status Theorem
% 8.90/2.58  # SZS output start CNFRefutation
% See solution above
% 8.90/2.58  # Training examples: 0 positive, 0 negative
% 8.90/2.58  
% 8.90/2.58  # -------------------------------------------------
% 8.90/2.58  # User time                : 0.182 s
% 8.90/2.58  # System time              : 0.010 s
% 8.90/2.58  # Total time               : 0.193 s
% 8.90/2.58  # Maximum resident set size: 7120 pages
% 8.90/2.58  
%------------------------------------------------------------------------------