%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SEU356+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Apr 9 08:53:44 PM UTC 2025
% Result : Theorem 9.12s 3.28s
% Output : CNFRefutation 9.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 3
% Syntax : Number of formulae : 791 ( 197 unt; 0 typ; 0 def)
% Number of atoms : 3054 ( 93 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 4037 (1774 ~;2238 |; 9 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 671 ( 669 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ relstr_set_smaller > related > ex_sup_of_relstr_set > element > rel_str > one_sorted_str > antisymmetric_relstr > #nlpp > the_carrier > #skF_7 > #skF_1 > #skF_11 > #skF_4 > #skF_3 > #skF_10 > #skF_5 > #skF_6 > #skF_2 > #skF_9 > #skF_8 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i ) > $i ).
tff(related,type,
related: ( $i * $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(the_carrier,type,
the_carrier: $i > $i ).
tff(relstr_set_smaller,type,
relstr_set_smaller: ( $i * $i * $i ) > $o ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(antisymmetric_relstr,type,
antisymmetric_relstr: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(one_sorted_str,type,
one_sorted_str: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(ex_sup_of_relstr_set,type,
ex_sup_of_relstr_set: ( $i * $i ) > $o ).
tff('#skF_8',type,
'#skF_8': $i ).
tff(rel_str,type,
rel_str: $i > $o ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(f_89,negated_conjecture,
~ ! [A] :
( ( antisymmetric_relstr(A)
& rel_str(A) )
=> ! [B] :
( ex_sup_of_relstr_set(A,B)
<=> ? [C] :
( element(C,the_carrier(A))
& relstr_set_smaller(A,B,C)
& ! [D] :
( element(D,the_carrier(A))
=> ( relstr_set_smaller(A,B,D)
=> related(A,C,D) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_yellow_0) ).
tff(f_57,axiom,
! [A] :
( rel_str(A)
=> ! [B] :
( ex_sup_of_relstr_set(A,B)
<=> ? [C] :
( element(C,the_carrier(A))
& relstr_set_smaller(A,B,C)
& ! [D] :
( element(D,the_carrier(A))
=> ( relstr_set_smaller(A,B,D)
=> related(A,C,D) ) )
& ! [D] :
( element(D,the_carrier(A))
=> ( ( relstr_set_smaller(A,B,D)
& ! [E] :
( element(E,the_carrier(A))
=> ( relstr_set_smaller(A,B,E)
=> related(A,D,E) ) ) )
=> ( D = C ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_yellow_0) ).
tff(f_105,axiom,
! [A] :
( ( antisymmetric_relstr(A)
& rel_str(A) )
=> ! [B] :
( element(B,the_carrier(A))
=> ! [C] :
( element(C,the_carrier(A))
=> ( ( related(A,B,C)
& related(A,C,B) )
=> ( B = C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_orders_2) ).
tff(c_52,plain,
rel_str('#skF_8'),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_84,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ex_sup_of_relstr_set('#skF_8','#skF_11') ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_100,plain,
ex_sup_of_relstr_set('#skF_8','#skF_11'),
inference(splitLeft,[status(thm)],[c_84]) ).
tff(c_4,plain,
! [A_1,B_39] :
( relstr_set_smaller(A_1,B_39,'#skF_3'(A_1,B_39))
| ~ ex_sup_of_relstr_set(A_1,B_39)
| ~ rel_str(A_1) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_6,plain,
! [A_1,B_39] :
( element('#skF_3'(A_1,B_39),the_carrier(A_1))
| ~ ex_sup_of_relstr_set(A_1,B_39)
| ~ rel_str(A_1) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_70,plain,
! [C_96] :
( element('#skF_10',the_carrier('#skF_8'))
| relstr_set_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_2287,plain,
element('#skF_10',the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_78,plain,
! [C_96] :
( element('#skF_10',the_carrier('#skF_8'))
| element('#skF_12'(C_96),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_108,plain,
element('#skF_10',the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_68,plain,
! [C_96] :
( relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| relstr_set_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_107,plain,
relstr_set_smaller('#skF_8','#skF_9','#skF_10'),
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_80,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_9')
| ex_sup_of_relstr_set('#skF_8','#skF_11') ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_99,plain,
~ ex_sup_of_relstr_set('#skF_8','#skF_9'),
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_22,plain,
! [A_1,B_39,C_58,E_64] :
( relstr_set_smaller(A_1,B_39,'#skF_1'(A_1,B_39,C_58))
| related(A_1,'#skF_2'(A_1,B_39,C_58),E_64)
| ~ relstr_set_smaller(A_1,B_39,E_64)
| ~ element(E_64,the_carrier(A_1))
| ex_sup_of_relstr_set(A_1,B_39)
| ~ relstr_set_smaller(A_1,B_39,C_58)
| ~ element(C_58,the_carrier(A_1))
| ~ rel_str(A_1) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_1459,plain,
! [A_293,B_294,C_295,E_296] :
( element('#skF_1'(A_293,B_294,C_295),the_carrier(A_293))
| related(A_293,'#skF_2'(A_293,B_294,C_295),E_296)
| ~ relstr_set_smaller(A_293,B_294,E_296)
| ~ element(E_296,the_carrier(A_293))
| ex_sup_of_relstr_set(A_293,B_294)
| ~ relstr_set_smaller(A_293,B_294,C_295)
| ~ element(C_295,the_carrier(A_293))
| ~ rel_str(A_293) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_347,plain,
! [A_168,B_169,C_170,E_171] :
( element('#skF_1'(A_168,B_169,C_170),the_carrier(A_168))
| related(A_168,'#skF_2'(A_168,B_169,C_170),E_171)
| ~ relstr_set_smaller(A_168,B_169,E_171)
| ~ element(E_171,the_carrier(A_168))
| ex_sup_of_relstr_set(A_168,B_169)
| ~ relstr_set_smaller(A_168,B_169,C_170)
| ~ element(C_170,the_carrier(A_168))
| ~ rel_str(A_168) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_66,plain,
! [D_92,C_96] :
( related('#skF_8','#skF_10',D_92)
| ~ relstr_set_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8'))
| relstr_set_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_120,plain,
! [C_96] :
( relstr_set_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_112,plain,
! [A_112,B_113,D_114] :
( related(A_112,'#skF_3'(A_112,B_113),D_114)
| ~ relstr_set_smaller(A_112,B_113,D_114)
| ~ element(D_114,the_carrier(A_112))
| ~ ex_sup_of_relstr_set(A_112,B_113)
| ~ rel_str(A_112) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_60,plain,
! [C_96] :
( relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ related('#skF_8',C_96,'#skF_12'(C_96))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_105,plain,
! [C_96] :
( ~ related('#skF_8',C_96,'#skF_12'(C_96))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(splitLeft,[status(thm)],[c_60]) ).
tff(c_116,plain,
! [B_113] :
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_113))
| ~ element('#skF_3'('#skF_8',B_113),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8',B_113,'#skF_12'('#skF_3'('#skF_8',B_113)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_113)),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8',B_113)
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_112,c_105]) ).
tff(c_142,plain,
! [B_132] :
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_132))
| ~ element('#skF_3'('#skF_8',B_132),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8',B_132,'#skF_12'('#skF_3'('#skF_8',B_132)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_132)),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8',B_132) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_116]) ).
tff(c_145,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_120,c_142]) ).
tff(c_148,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_100,c_145]) ).
tff(c_149,plain,
~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_148]) ).
tff(c_152,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6,c_149]) ).
tff(c_156,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_152]) ).
tff(c_158,plain,
element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_148]) ).
tff(c_74,plain,
! [D_92,C_96] :
( related('#skF_8','#skF_10',D_92)
| ~ relstr_set_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8'))
| element('#skF_12'(C_96),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_140,plain,
! [C_96] :
( element('#skF_12'(C_96),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_157,plain,
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_148]) ).
tff(c_159,plain,
~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_157]) ).
tff(c_162,plain,
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_140,c_159]) ).
tff(c_165,plain,
~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(demodulation,[status(thm),theory(equality)],[c_158,c_162]) ).
tff(c_169,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_165]) ).
tff(c_173,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_169]) ).
tff(c_174,plain,
~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(splitRight,[status(thm)],[c_157]) ).
tff(c_178,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_174]) ).
tff(c_182,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_178]) ).
tff(c_183,plain,
! [D_92] :
( related('#skF_8','#skF_10',D_92)
| ~ relstr_set_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_351,plain,
! [B_169,C_170,E_171] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_169,C_170))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_169,C_170))
| related('#skF_8','#skF_2'('#skF_8',B_169,C_170),E_171)
| ~ relstr_set_smaller('#skF_8',B_169,E_171)
| ~ element(E_171,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_169)
| ~ relstr_set_smaller('#skF_8',B_169,C_170)
| ~ element(C_170,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_347,c_183]) ).
tff(c_721,plain,
! [B_199,C_200,E_201] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_199,C_200))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_199,C_200))
| related('#skF_8','#skF_2'('#skF_8',B_199,C_200),E_201)
| ~ relstr_set_smaller('#skF_8',B_199,E_201)
| ~ element(E_201,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_199)
| ~ relstr_set_smaller('#skF_8',B_199,C_200)
| ~ element(C_200,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_351]) ).
tff(c_724,plain,
! [C_58,E_201,E_64] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_201)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_201)
| ~ element(E_201,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_22,c_721]) ).
tff(c_734,plain,
! [C_58,E_201,E_64] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_201)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_201)
| ~ element(E_201,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_724]) ).
tff(c_787,plain,
! [C_211,E_212,E_213] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_211))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_211),E_212)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_212)
| ~ element(E_212,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_211),E_213)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_213)
| ~ element(E_213,the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_211)
| ~ element(C_211,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_734]) ).
tff(c_16,plain,
! [A_1,B_39,C_58] :
( relstr_set_smaller(A_1,B_39,'#skF_1'(A_1,B_39,C_58))
| ( '#skF_2'(A_1,B_39,C_58) != C_58 )
| ex_sup_of_relstr_set(A_1,B_39)
| ~ relstr_set_smaller(A_1,B_39,C_58)
| ~ element(C_58,the_carrier(A_1))
| ~ rel_str(A_1) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_225,plain,
! [A_138,B_139,C_140] :
( element('#skF_1'(A_138,B_139,C_140),the_carrier(A_138))
| ( '#skF_2'(A_138,B_139,C_140) != C_140 )
| ex_sup_of_relstr_set(A_138,B_139)
| ~ relstr_set_smaller(A_138,B_139,C_140)
| ~ element(C_140,the_carrier(A_138))
| ~ rel_str(A_138) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_229,plain,
! [B_139,C_140] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_139,C_140))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_139,C_140))
| ( '#skF_2'('#skF_8',B_139,C_140) != C_140 )
| ex_sup_of_relstr_set('#skF_8',B_139)
| ~ relstr_set_smaller('#skF_8',B_139,C_140)
| ~ element(C_140,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_225,c_183]) ).
tff(c_300,plain,
! [B_165,C_166] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_165,C_166))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_165,C_166))
| ( '#skF_2'('#skF_8',B_165,C_166) != C_166 )
| ex_sup_of_relstr_set('#skF_8',B_165)
| ~ relstr_set_smaller('#skF_8',B_165,C_166)
| ~ element(C_166,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_229]) ).
tff(c_310,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_16,c_300]) ).
tff(c_317,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_310]) ).
tff(c_319,plain,
! [C_167] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_167))
| ( '#skF_2'('#skF_8','#skF_9',C_167) != C_167 )
| ~ relstr_set_smaller('#skF_8','#skF_9',C_167)
| ~ element(C_167,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_317]) ).
tff(c_14,plain,
! [A_1,C_58,B_39] :
( ~ related(A_1,C_58,'#skF_1'(A_1,B_39,C_58))
| ( '#skF_2'(A_1,B_39,C_58) != C_58 )
| ex_sup_of_relstr_set(A_1,B_39)
| ~ relstr_set_smaller(A_1,B_39,C_58)
| ~ element(C_58,the_carrier(A_1))
| ~ rel_str(A_1) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_329,plain,
( ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' )
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_319,c_14]) ).
tff(c_342,plain,
( ex_sup_of_relstr_set('#skF_8','#skF_9')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_52,c_329]) ).
tff(c_343,plain,
'#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10',
inference(negUnitSimplification,[status(thm)],[c_99,c_342]) ).
tff(c_54,plain,
antisymmetric_relstr('#skF_8'),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_28,plain,
! [A_1,B_39,C_58] :
( relstr_set_smaller(A_1,B_39,'#skF_1'(A_1,B_39,C_58))
| relstr_set_smaller(A_1,B_39,'#skF_2'(A_1,B_39,C_58))
| ex_sup_of_relstr_set(A_1,B_39)
| ~ relstr_set_smaller(A_1,B_39,C_58)
| ~ element(C_58,the_carrier(A_1))
| ~ rel_str(A_1) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_239,plain,
! [A_147,B_148,C_149] :
( element('#skF_1'(A_147,B_148,C_149),the_carrier(A_147))
| relstr_set_smaller(A_147,B_148,'#skF_2'(A_147,B_148,C_149))
| ex_sup_of_relstr_set(A_147,B_148)
| ~ relstr_set_smaller(A_147,B_148,C_149)
| ~ element(C_149,the_carrier(A_147))
| ~ rel_str(A_147) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_243,plain,
! [B_148,C_149] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_148,C_149))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_148,C_149))
| relstr_set_smaller('#skF_8',B_148,'#skF_2'('#skF_8',B_148,C_149))
| ex_sup_of_relstr_set('#skF_8',B_148)
| ~ relstr_set_smaller('#skF_8',B_148,C_149)
| ~ element(C_149,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_239,c_183]) ).
tff(c_394,plain,
! [B_177,C_178] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_177,C_178))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_177,C_178))
| relstr_set_smaller('#skF_8',B_177,'#skF_2'('#skF_8',B_177,C_178))
| ex_sup_of_relstr_set('#skF_8',B_177)
| ~ relstr_set_smaller('#skF_8',B_177,C_178)
| ~ element(C_178,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_243]) ).
tff(c_398,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_28,c_394]) ).
tff(c_404,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_398]) ).
tff(c_405,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_404]) ).
tff(c_410,plain,
! [C_179] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_179))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_179))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_179)
| ~ element(C_179,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_404]) ).
tff(c_279,plain,
! [A_157,B_158,C_159] :
( relstr_set_smaller(A_157,B_158,'#skF_1'(A_157,B_158,C_159))
| element('#skF_2'(A_157,B_158,C_159),the_carrier(A_157))
| ex_sup_of_relstr_set(A_157,B_158)
| ~ relstr_set_smaller(A_157,B_158,C_159)
| ~ element(C_159,the_carrier(A_157))
| ~ rel_str(A_157) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_283,plain,
! [B_158,C_159] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_158,C_159))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_158,C_159))
| relstr_set_smaller('#skF_8',B_158,'#skF_1'('#skF_8',B_158,C_159))
| ex_sup_of_relstr_set('#skF_8',B_158)
| ~ relstr_set_smaller('#skF_8',B_158,C_159)
| ~ element(C_159,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_279,c_183]) ).
tff(c_286,plain,
! [B_158,C_159] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_158,C_159))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_158,C_159))
| relstr_set_smaller('#skF_8',B_158,'#skF_1'('#skF_8',B_158,C_159))
| ex_sup_of_relstr_set('#skF_8',B_158)
| ~ relstr_set_smaller('#skF_8',B_158,C_159)
| ~ element(C_159,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_283]) ).
tff(c_412,plain,
! [C_179] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_179))
| relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_179))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_179))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_179)
| ~ element(C_179,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_410,c_286]) ).
tff(c_415,plain,
! [C_179] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_179))
| relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_179))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_179))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_179)
| ~ element(C_179,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_412]) ).
tff(c_270,plain,
! [A_154,B_155,C_156] :
( element('#skF_1'(A_154,B_155,C_156),the_carrier(A_154))
| element('#skF_2'(A_154,B_155,C_156),the_carrier(A_154))
| ex_sup_of_relstr_set(A_154,B_155)
| ~ relstr_set_smaller(A_154,B_155,C_156)
| ~ element(C_156,the_carrier(A_154))
| ~ rel_str(A_154) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_274,plain,
! [B_155,C_156] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_155,C_156))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_155,C_156))
| element('#skF_2'('#skF_8',B_155,C_156),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_155)
| ~ relstr_set_smaller('#skF_8',B_155,C_156)
| ~ element(C_156,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_270,c_183]) ).
tff(c_426,plain,
! [B_181,C_182] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_181,C_182))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_181,C_182))
| element('#skF_2'('#skF_8',B_181,C_182),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_181)
| ~ relstr_set_smaller('#skF_8',B_181,C_182)
| ~ element(C_182,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_274]) ).
tff(c_481,plain,
! [B_189,C_190] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_189,C_190))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_189,C_190))
| related('#skF_8','#skF_10','#skF_1'('#skF_8',B_189,C_190))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_189,C_190))
| ex_sup_of_relstr_set('#skF_8',B_189)
| ~ relstr_set_smaller('#skF_8',B_189,C_190)
| ~ element(C_190,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_426,c_183]) ).
tff(c_484,plain,
! [C_179] :
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_179))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_179))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_179))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_179)
| ~ element(C_179,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_415,c_481]) ).
tff(c_506,plain,
! [C_191] :
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_191))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_191))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_191))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_191)
| ~ element(C_191,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_484]) ).
tff(c_513,plain,
! [C_192] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_192))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_192))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_192)
| ~ element(C_192,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_405,c_506]) ).
tff(c_32,plain,
! [A_1,C_58,B_39] :
( ~ related(A_1,C_58,'#skF_1'(A_1,B_39,C_58))
| element('#skF_2'(A_1,B_39,C_58),the_carrier(A_1))
| ex_sup_of_relstr_set(A_1,B_39)
| ~ relstr_set_smaller(A_1,B_39,C_58)
| ~ element(C_58,the_carrier(A_1))
| ~ rel_str(A_1) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_519,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_513,c_32]) ).
tff(c_535,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_52,c_519]) ).
tff(c_536,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_535]) ).
tff(c_548,plain,
related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitLeft,[status(thm)],[c_536]) ).
tff(c_88,plain,
! [C_104,B_102,A_98] :
( ( C_104 = B_102 )
| ~ related(A_98,C_104,B_102)
| ~ related(A_98,B_102,C_104)
| ~ element(C_104,the_carrier(A_98))
| ~ element(B_102,the_carrier(A_98))
| ~ rel_str(A_98)
| ~ antisymmetric_relstr(A_98) ),
inference(cnfTransformation,[status(thm)],[f_105]) ).
tff(c_550,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ~ rel_str('#skF_8')
| ~ antisymmetric_relstr('#skF_8') ),
inference(resolution,[status(thm)],[c_548,c_88]) ).
tff(c_553,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_52,c_108,c_550]) ).
tff(c_554,plain,
( ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_343,c_553]) ).
tff(c_616,plain,
~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_554]) ).
tff(c_34,plain,
! [A_1,B_39,C_58] :
( relstr_set_smaller(A_1,B_39,'#skF_1'(A_1,B_39,C_58))
| element('#skF_2'(A_1,B_39,C_58),the_carrier(A_1))
| ex_sup_of_relstr_set(A_1,B_39)
| ~ relstr_set_smaller(A_1,B_39,C_58)
| ~ element(C_58,the_carrier(A_1))
| ~ rel_str(A_1) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_622,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_34,c_616]) ).
tff(c_629,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_108,c_107,c_622]) ).
tff(c_630,plain,
relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_99,c_629]) ).
tff(c_277,plain,
! [B_155,C_156] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_155,C_156))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_155,C_156))
| element('#skF_2'('#skF_8',B_155,C_156),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_155)
| ~ relstr_set_smaller('#skF_8',B_155,C_156)
| ~ element(C_156,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_274]) ).
tff(c_619,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_277,c_616]) ).
tff(c_625,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_619]) ).
tff(c_626,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_625]) ).
tff(c_652,plain,
related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(demodulation,[status(thm),theory(equality)],[c_630,c_626]) ).
tff(c_656,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_652,c_32]) ).
tff(c_670,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_108,c_107,c_656]) ).
tff(c_672,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_616,c_670]) ).
tff(c_673,plain,
~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitRight,[status(thm)],[c_554]) ).
tff(c_790,plain,
! [E_213] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_213)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_213)
| ~ element(E_213,the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_787,c_673]) ).
tff(c_848,plain,
! [E_213] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_213)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_213)
| ~ element(E_213,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_790]) ).
tff(c_913,plain,
related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(splitLeft,[status(thm)],[c_848]) ).
tff(c_20,plain,
! [A_1,C_58,B_39,E_64] :
( ~ related(A_1,C_58,'#skF_1'(A_1,B_39,C_58))
| related(A_1,'#skF_2'(A_1,B_39,C_58),E_64)
| ~ relstr_set_smaller(A_1,B_39,E_64)
| ~ element(E_64,the_carrier(A_1))
| ex_sup_of_relstr_set(A_1,B_39)
| ~ relstr_set_smaller(A_1,B_39,C_58)
| ~ element(C_58,the_carrier(A_1))
| ~ rel_str(A_1) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_915,plain,
! [E_64] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_913,c_20]) ).
tff(c_927,plain,
! [E_64] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_108,c_107,c_915]) ).
tff(c_950,plain,
! [E_217] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_217)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_217)
| ~ element(E_217,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_927]) ).
tff(c_953,plain,
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_950,c_673]) ).
tff(c_983,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_953]) ).
tff(c_998,plain,
! [E_218] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_218)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_218)
| ~ element(E_218,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_848]) ).
tff(c_1001,plain,
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_998,c_673]) ).
tff(c_1031,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_1001]) ).
tff(c_1033,plain,
~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_536]) ).
tff(c_26,plain,
! [A_1,C_58,B_39] :
( ~ related(A_1,C_58,'#skF_1'(A_1,B_39,C_58))
| relstr_set_smaller(A_1,B_39,'#skF_2'(A_1,B_39,C_58))
| ex_sup_of_relstr_set(A_1,B_39)
| ~ relstr_set_smaller(A_1,B_39,C_58)
| ~ element(C_58,the_carrier(A_1))
| ~ rel_str(A_1) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_522,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_513,c_26]) ).
tff(c_539,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_52,c_522]) ).
tff(c_540,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_539]) ).
tff(c_1038,plain,
relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_1033,c_540]) ).
tff(c_1032,plain,
element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_536]) ).
tff(c_1037,plain,
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_1032,c_183]) ).
tff(c_1156,plain,
related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(demodulation,[status(thm),theory(equality)],[c_1038,c_1037]) ).
tff(c_1157,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1033,c_1156]) ).
tff(c_1158,plain,
! [D_92] :
( related('#skF_8','#skF_10',D_92)
| ~ relstr_set_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_1463,plain,
! [B_294,C_295,E_296] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_294,C_295))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_294,C_295))
| related('#skF_8','#skF_2'('#skF_8',B_294,C_295),E_296)
| ~ relstr_set_smaller('#skF_8',B_294,E_296)
| ~ element(E_296,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_294)
| ~ relstr_set_smaller('#skF_8',B_294,C_295)
| ~ element(C_295,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_1459,c_1158]) ).
tff(c_1543,plain,
! [B_300,C_301,E_302] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_300,C_301))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_300,C_301))
| related('#skF_8','#skF_2'('#skF_8',B_300,C_301),E_302)
| ~ relstr_set_smaller('#skF_8',B_300,E_302)
| ~ element(E_302,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_300)
| ~ relstr_set_smaller('#skF_8',B_300,C_301)
| ~ element(C_301,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1463]) ).
tff(c_1548,plain,
! [C_58,E_302,E_64] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_302)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_302)
| ~ element(E_302,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_22,c_1543]) ).
tff(c_1561,plain,
! [C_58,E_302,E_64] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_302)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_302)
| ~ element(E_302,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1548]) ).
tff(c_1804,plain,
! [C_319,E_320,E_321] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_319))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_319),E_320)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_320)
| ~ element(E_320,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_319),E_321)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_321)
| ~ element(E_321,the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_319)
| ~ element(C_319,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_1561]) ).
tff(c_1219,plain,
! [A_239,B_240,C_241] :
( element('#skF_1'(A_239,B_240,C_241),the_carrier(A_239))
| ( '#skF_2'(A_239,B_240,C_241) != C_241 )
| ex_sup_of_relstr_set(A_239,B_240)
| ~ relstr_set_smaller(A_239,B_240,C_241)
| ~ element(C_241,the_carrier(A_239))
| ~ rel_str(A_239) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_1223,plain,
! [B_240,C_241] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_240,C_241))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_240,C_241))
| ( '#skF_2'('#skF_8',B_240,C_241) != C_241 )
| ex_sup_of_relstr_set('#skF_8',B_240)
| ~ relstr_set_smaller('#skF_8',B_240,C_241)
| ~ element(C_241,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_1219,c_1158]) ).
tff(c_1278,plain,
! [B_269,C_270] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_269,C_270))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_269,C_270))
| ( '#skF_2'('#skF_8',B_269,C_270) != C_270 )
| ex_sup_of_relstr_set('#skF_8',B_269)
| ~ relstr_set_smaller('#skF_8',B_269,C_270)
| ~ element(C_270,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1223]) ).
tff(c_1288,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_16,c_1278]) ).
tff(c_1295,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1288]) ).
tff(c_1297,plain,
! [C_271] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_271))
| ( '#skF_2'('#skF_8','#skF_9',C_271) != C_271 )
| ~ relstr_set_smaller('#skF_8','#skF_9',C_271)
| ~ element(C_271,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_1295]) ).
tff(c_1307,plain,
( ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' )
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_1297,c_14]) ).
tff(c_1320,plain,
( ex_sup_of_relstr_set('#skF_8','#skF_9')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_52,c_1307]) ).
tff(c_1321,plain,
'#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10',
inference(negUnitSimplification,[status(thm)],[c_99,c_1320]) ).
tff(c_1262,plain,
! [A_264,B_265,C_266] :
( element('#skF_1'(A_264,B_265,C_266),the_carrier(A_264))
| relstr_set_smaller(A_264,B_265,'#skF_2'(A_264,B_265,C_266))
| ex_sup_of_relstr_set(A_264,B_265)
| ~ relstr_set_smaller(A_264,B_265,C_266)
| ~ element(C_266,the_carrier(A_264))
| ~ rel_str(A_264) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_1266,plain,
! [B_265,C_266] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_265,C_266))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_265,C_266))
| relstr_set_smaller('#skF_8',B_265,'#skF_2'('#skF_8',B_265,C_266))
| ex_sup_of_relstr_set('#skF_8',B_265)
| ~ relstr_set_smaller('#skF_8',B_265,C_266)
| ~ element(C_266,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_1262,c_1158]) ).
tff(c_1371,plain,
! [B_279,C_280] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_279,C_280))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_279,C_280))
| relstr_set_smaller('#skF_8',B_279,'#skF_2'('#skF_8',B_279,C_280))
| ex_sup_of_relstr_set('#skF_8',B_279)
| ~ relstr_set_smaller('#skF_8',B_279,C_280)
| ~ element(C_280,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1266]) ).
tff(c_1378,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_28,c_1371]) ).
tff(c_1388,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1378]) ).
tff(c_1389,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_1388]) ).
tff(c_1254,plain,
! [A_261,B_262,C_263] :
( relstr_set_smaller(A_261,B_262,'#skF_1'(A_261,B_262,C_263))
| element('#skF_2'(A_261,B_262,C_263),the_carrier(A_261))
| ex_sup_of_relstr_set(A_261,B_262)
| ~ relstr_set_smaller(A_261,B_262,C_263)
| ~ element(C_263,the_carrier(A_261))
| ~ rel_str(A_261) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_1258,plain,
! [B_262,C_263] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_262,C_263))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_262,C_263))
| relstr_set_smaller('#skF_8',B_262,'#skF_1'('#skF_8',B_262,C_263))
| ex_sup_of_relstr_set('#skF_8',B_262)
| ~ relstr_set_smaller('#skF_8',B_262,C_263)
| ~ element(C_263,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_1254,c_1158]) ).
tff(c_1400,plain,
! [B_284,C_285] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_284,C_285))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_284,C_285))
| relstr_set_smaller('#skF_8',B_284,'#skF_1'('#skF_8',B_284,C_285))
| ex_sup_of_relstr_set('#skF_8',B_284)
| ~ relstr_set_smaller('#skF_8',B_284,C_285)
| ~ element(C_285,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1258]) ).
tff(c_1402,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_1389,c_1400]) ).
tff(c_1406,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_1402]) ).
tff(c_1240,plain,
! [A_254,B_255,C_256] :
( element('#skF_1'(A_254,B_255,C_256),the_carrier(A_254))
| element('#skF_2'(A_254,B_255,C_256),the_carrier(A_254))
| ex_sup_of_relstr_set(A_254,B_255)
| ~ relstr_set_smaller(A_254,B_255,C_256)
| ~ element(C_256,the_carrier(A_254))
| ~ rel_str(A_254) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_1244,plain,
! [B_255,C_256] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_255,C_256))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_255,C_256))
| element('#skF_2'('#skF_8',B_255,C_256),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_255)
| ~ relstr_set_smaller('#skF_8',B_255,C_256)
| ~ element(C_256,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_1240,c_1158]) ).
tff(c_1395,plain,
! [B_282,C_283] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_282,C_283))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_282,C_283))
| element('#skF_2'('#skF_8',B_282,C_283),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_282)
| ~ relstr_set_smaller('#skF_8',B_282,C_283)
| ~ element(C_283,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1244]) ).
tff(c_1503,plain,
! [B_297,C_298] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_297,C_298))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_297,C_298))
| related('#skF_8','#skF_10','#skF_1'('#skF_8',B_297,C_298))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_297,C_298))
| ex_sup_of_relstr_set('#skF_8',B_297)
| ~ relstr_set_smaller('#skF_8',B_297,C_298)
| ~ element(C_298,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_1395,c_1158]) ).
tff(c_1506,plain,
! [C_58] :
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_1406,c_1503]) ).
tff(c_1536,plain,
! [C_299] :
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_299))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_299))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_299))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_299)
| ~ element(C_299,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_1506]) ).
tff(c_1571,plain,
! [C_303] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_303))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_303))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_303)
| ~ element(C_303,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_1389,c_1536]) ).
tff(c_1577,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_1571,c_32]) ).
tff(c_1593,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_52,c_1577]) ).
tff(c_1594,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_1593]) ).
tff(c_1606,plain,
related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitLeft,[status(thm)],[c_1594]) ).
tff(c_1608,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ~ rel_str('#skF_8')
| ~ antisymmetric_relstr('#skF_8') ),
inference(resolution,[status(thm)],[c_1606,c_88]) ).
tff(c_1611,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_52,c_108,c_1608]) ).
tff(c_1612,plain,
( ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_1321,c_1611]) ).
tff(c_1614,plain,
~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_1612]) ).
tff(c_1620,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_34,c_1614]) ).
tff(c_1627,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_108,c_107,c_1620]) ).
tff(c_1628,plain,
relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_99,c_1627]) ).
tff(c_1247,plain,
! [B_255,C_256] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_255,C_256))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_255,C_256))
| element('#skF_2'('#skF_8',B_255,C_256),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_255)
| ~ relstr_set_smaller('#skF_8',B_255,C_256)
| ~ element(C_256,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1244]) ).
tff(c_1617,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_1247,c_1614]) ).
tff(c_1623,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_1617]) ).
tff(c_1624,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_1623]) ).
tff(c_1656,plain,
related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(demodulation,[status(thm),theory(equality)],[c_1628,c_1624]) ).
tff(c_1660,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_1656,c_32]) ).
tff(c_1674,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_108,c_107,c_1660]) ).
tff(c_1676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_1614,c_1674]) ).
tff(c_1677,plain,
~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitRight,[status(thm)],[c_1612]) ).
tff(c_1807,plain,
! [E_321] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_321)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_321)
| ~ element(E_321,the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_1804,c_1677]) ).
tff(c_1865,plain,
! [E_321] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_321)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_321)
| ~ element(E_321,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_1807]) ).
tff(c_1913,plain,
related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(splitLeft,[status(thm)],[c_1865]) ).
tff(c_1915,plain,
! [E_64] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_1913,c_20]) ).
tff(c_1927,plain,
! [E_64] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_108,c_107,c_1915]) ).
tff(c_1950,plain,
! [E_322] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_322)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_322)
| ~ element(E_322,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_1927]) ).
tff(c_1953,plain,
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_1950,c_1677]) ).
tff(c_1983,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_1953]) ).
tff(c_2015,plain,
! [E_326] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_326)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_326)
| ~ element(E_326,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_1865]) ).
tff(c_2018,plain,
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2015,c_1677]) ).
tff(c_2048,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_2018]) ).
tff(c_2050,plain,
~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_1594]) ).
tff(c_1580,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_1571,c_26]) ).
tff(c_1597,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_52,c_1580]) ).
tff(c_1598,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_1597]) ).
tff(c_2055,plain,
relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_2050,c_1598]) ).
tff(c_2049,plain,
element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_1594]) ).
tff(c_2054,plain,
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_2049,c_1158]) ).
tff(c_2119,plain,
related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(demodulation,[status(thm),theory(equality)],[c_2055,c_2054]) ).
tff(c_2120,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2050,c_2119]) ).
tff(c_2122,plain,
~ element('#skF_10',the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_2126,plain,
! [C_96] :
( relstr_set_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_2122,c_70]) ).
tff(c_2128,plain,
! [A_329,B_330,D_331] :
( related(A_329,'#skF_3'(A_329,B_330),D_331)
| ~ relstr_set_smaller(A_329,B_330,D_331)
| ~ element(D_331,the_carrier(A_329))
| ~ ex_sup_of_relstr_set(A_329,B_330)
| ~ rel_str(A_329) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2132,plain,
! [B_330] :
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_330))
| ~ element('#skF_3'('#skF_8',B_330),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8',B_330,'#skF_12'('#skF_3'('#skF_8',B_330)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_330)),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8',B_330)
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_2128,c_105]) ).
tff(c_2156,plain,
! [B_353] :
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_353))
| ~ element('#skF_3'('#skF_8',B_353),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8',B_353,'#skF_12'('#skF_3'('#skF_8',B_353)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_353)),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8',B_353) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2132]) ).
tff(c_2159,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2126,c_2156]) ).
tff(c_2162,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_100,c_2159]) ).
tff(c_2163,plain,
~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_2162]) ).
tff(c_2166,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6,c_2163]) ).
tff(c_2170,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_2166]) ).
tff(c_2172,plain,
element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_2162]) ).
tff(c_2121,plain,
! [C_96] :
( element('#skF_12'(C_96),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_2171,plain,
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_2162]) ).
tff(c_2173,plain,
~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_2171]) ).
tff(c_2176,plain,
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2121,c_2173]) ).
tff(c_2179,plain,
~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(demodulation,[status(thm),theory(equality)],[c_2172,c_2176]) ).
tff(c_2183,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_2179]) ).
tff(c_2187,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_2183]) ).
tff(c_2188,plain,
~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(splitRight,[status(thm)],[c_2171]) ).
tff(c_2192,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_2188]) ).
tff(c_2196,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_2192]) ).
tff(c_2197,plain,
! [C_96] :
( relstr_set_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_2202,plain,
! [A_359,B_360,D_361] :
( related(A_359,'#skF_3'(A_359,B_360),D_361)
| ~ relstr_set_smaller(A_359,B_360,D_361)
| ~ element(D_361,the_carrier(A_359))
| ~ ex_sup_of_relstr_set(A_359,B_360)
| ~ rel_str(A_359) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2206,plain,
! [B_360] :
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_360))
| ~ element('#skF_3'('#skF_8',B_360),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8',B_360,'#skF_12'('#skF_3'('#skF_8',B_360)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_360)),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8',B_360)
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_2202,c_105]) ).
tff(c_2238,plain,
! [B_395] :
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_395))
| ~ element('#skF_3'('#skF_8',B_395),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8',B_395,'#skF_12'('#skF_3'('#skF_8',B_395)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_395)),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8',B_395) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2206]) ).
tff(c_2241,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2197,c_2238]) ).
tff(c_2244,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_100,c_2241]) ).
tff(c_2245,plain,
~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_2244]) ).
tff(c_2248,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6,c_2245]) ).
tff(c_2252,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_2248]) ).
tff(c_2254,plain,
element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_2244]) ).
tff(c_2198,plain,
~ relstr_set_smaller('#skF_8','#skF_9','#skF_10'),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_76,plain,
! [C_96] :
( relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| element('#skF_12'(C_96),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_2200,plain,
! [C_96] :
( element('#skF_12'(C_96),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_2198,c_76]) ).
tff(c_2253,plain,
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_2244]) ).
tff(c_2255,plain,
~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_2253]) ).
tff(c_2258,plain,
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2200,c_2255]) ).
tff(c_2261,plain,
~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(demodulation,[status(thm),theory(equality)],[c_2254,c_2258]) ).
tff(c_2269,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_2261]) ).
tff(c_2273,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_2269]) ).
tff(c_2274,plain,
~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(splitRight,[status(thm)],[c_2253]) ).
tff(c_2278,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_2274]) ).
tff(c_2282,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_2278]) ).
tff(c_2283,plain,
relstr_set_smaller('#skF_8','#skF_9','#skF_10'),
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_3490,plain,
! [A_566,B_567,C_568,E_569] :
( element('#skF_1'(A_566,B_567,C_568),the_carrier(A_566))
| related(A_566,'#skF_2'(A_566,B_567,C_568),E_569)
| ~ relstr_set_smaller(A_566,B_567,E_569)
| ~ element(E_569,the_carrier(A_566))
| ex_sup_of_relstr_set(A_566,B_567)
| ~ relstr_set_smaller(A_566,B_567,C_568)
| ~ element(C_568,the_carrier(A_566))
| ~ rel_str(A_566) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2648,plain,
! [A_481,B_482,C_483,E_484] :
( element('#skF_1'(A_481,B_482,C_483),the_carrier(A_481))
| related(A_481,'#skF_2'(A_481,B_482,C_483),E_484)
| ~ relstr_set_smaller(A_481,B_482,E_484)
| ~ element(E_484,the_carrier(A_481))
| ex_sup_of_relstr_set(A_481,B_482)
| ~ relstr_set_smaller(A_481,B_482,C_483)
| ~ element(C_483,the_carrier(A_481))
| ~ rel_str(A_481) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2314,plain,
! [C_96] :
( relstr_set_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_2290,plain,
! [A_400,B_401,D_402] :
( related(A_400,'#skF_3'(A_400,B_401),D_402)
| ~ relstr_set_smaller(A_400,B_401,D_402)
| ~ element(D_402,the_carrier(A_400))
| ~ ex_sup_of_relstr_set(A_400,B_401)
| ~ rel_str(A_400) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_62,plain,
! [C_96] :
( element('#skF_10',the_carrier('#skF_8'))
| ~ related('#skF_8',C_96,'#skF_12'(C_96))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_2285,plain,
! [C_96] :
( ~ related('#skF_8',C_96,'#skF_12'(C_96))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_2294,plain,
! [B_401] :
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_401))
| ~ element('#skF_3'('#skF_8',B_401),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8',B_401,'#skF_12'('#skF_3'('#skF_8',B_401)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_401)),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8',B_401)
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_2290,c_2285]) ).
tff(c_2322,plain,
! [B_426] :
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_426))
| ~ element('#skF_3'('#skF_8',B_426),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8',B_426,'#skF_12'('#skF_3'('#skF_8',B_426)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_426)),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8',B_426) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2294]) ).
tff(c_2325,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2314,c_2322]) ).
tff(c_2328,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_100,c_2325]) ).
tff(c_2329,plain,
~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_2328]) ).
tff(c_2332,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6,c_2329]) ).
tff(c_2336,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_2332]) ).
tff(c_2338,plain,
element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_2328]) ).
tff(c_2308,plain,
! [C_96] :
( element('#skF_12'(C_96),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_2337,plain,
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_2328]) ).
tff(c_2339,plain,
~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_2337]) ).
tff(c_2342,plain,
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2308,c_2339]) ).
tff(c_2345,plain,
~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(demodulation,[status(thm),theory(equality)],[c_2338,c_2342]) ).
tff(c_2349,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_2345]) ).
tff(c_2353,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_2349]) ).
tff(c_2354,plain,
~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(splitRight,[status(thm)],[c_2337]) ).
tff(c_2358,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_2354]) ).
tff(c_2362,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_2358]) ).
tff(c_2363,plain,
! [D_92] :
( related('#skF_8','#skF_10',D_92)
| ~ relstr_set_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_2652,plain,
! [B_482,C_483,E_484] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_482,C_483))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_482,C_483))
| related('#skF_8','#skF_2'('#skF_8',B_482,C_483),E_484)
| ~ relstr_set_smaller('#skF_8',B_482,E_484)
| ~ element(E_484,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_482)
| ~ relstr_set_smaller('#skF_8',B_482,C_483)
| ~ element(C_483,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_2648,c_2363]) ).
tff(c_2692,plain,
! [B_485,C_486,E_487] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_485,C_486))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_485,C_486))
| related('#skF_8','#skF_2'('#skF_8',B_485,C_486),E_487)
| ~ relstr_set_smaller('#skF_8',B_485,E_487)
| ~ element(E_487,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_485)
| ~ relstr_set_smaller('#skF_8',B_485,C_486)
| ~ element(C_486,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2652]) ).
tff(c_2697,plain,
! [C_58,E_487,E_64] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_487)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_487)
| ~ element(E_487,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_22,c_2692]) ).
tff(c_2710,plain,
! [C_58,E_487,E_64] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_487)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_487)
| ~ element(E_487,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2697]) ).
tff(c_2711,plain,
! [C_58,E_487,E_64] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_487)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_487)
| ~ element(E_487,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_2710]) ).
tff(c_18,plain,
! [A_1,B_39,C_58] :
( element('#skF_1'(A_1,B_39,C_58),the_carrier(A_1))
| ( '#skF_2'(A_1,B_39,C_58) != C_58 )
| ex_sup_of_relstr_set(A_1,B_39)
| ~ relstr_set_smaller(A_1,B_39,C_58)
| ~ element(C_58,the_carrier(A_1))
| ~ rel_str(A_1) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2364,plain,
! [D_430] :
( related('#skF_8','#skF_10',D_430)
| ~ relstr_set_smaller('#skF_8','#skF_9',D_430)
| ~ element(D_430,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_2368,plain,
! [B_39,C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_39,C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_39,C_58))
| ( '#skF_2'('#skF_8',B_39,C_58) != C_58 )
| ex_sup_of_relstr_set('#skF_8',B_39)
| ~ relstr_set_smaller('#skF_8',B_39,C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_18,c_2364]) ).
tff(c_2467,plain,
! [B_457,C_458] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_457,C_458))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_457,C_458))
| ( '#skF_2'('#skF_8',B_457,C_458) != C_458 )
| ex_sup_of_relstr_set('#skF_8',B_457)
| ~ relstr_set_smaller('#skF_8',B_457,C_458)
| ~ element(C_458,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2368]) ).
tff(c_2477,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_16,c_2467]) ).
tff(c_2484,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2477]) ).
tff(c_2523,plain,
! [C_463] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_463))
| ( '#skF_2'('#skF_8','#skF_9',C_463) != C_463 )
| ~ relstr_set_smaller('#skF_8','#skF_9',C_463)
| ~ element(C_463,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_2484]) ).
tff(c_2533,plain,
( ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' )
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2523,c_14]) ).
tff(c_2546,plain,
( ex_sup_of_relstr_set('#skF_8','#skF_9')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2287,c_2283,c_52,c_2533]) ).
tff(c_2547,plain,
'#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10',
inference(negUnitSimplification,[status(thm)],[c_99,c_2546]) ).
tff(c_2446,plain,
! [A_449,B_450,C_451] :
( element('#skF_1'(A_449,B_450,C_451),the_carrier(A_449))
| relstr_set_smaller(A_449,B_450,'#skF_2'(A_449,B_450,C_451))
| ex_sup_of_relstr_set(A_449,B_450)
| ~ relstr_set_smaller(A_449,B_450,C_451)
| ~ element(C_451,the_carrier(A_449))
| ~ rel_str(A_449) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2450,plain,
! [B_450,C_451] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_450,C_451))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_450,C_451))
| relstr_set_smaller('#skF_8',B_450,'#skF_2'('#skF_8',B_450,C_451))
| ex_sup_of_relstr_set('#skF_8',B_450)
| ~ relstr_set_smaller('#skF_8',B_450,C_451)
| ~ element(C_451,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_2446,c_2363]) ).
tff(c_2567,plain,
! [B_471,C_472] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_471,C_472))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_471,C_472))
| relstr_set_smaller('#skF_8',B_471,'#skF_2'('#skF_8',B_471,C_472))
| ex_sup_of_relstr_set('#skF_8',B_471)
| ~ relstr_set_smaller('#skF_8',B_471,C_472)
| ~ element(C_472,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2450]) ).
tff(c_2573,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_28,c_2567]) ).
tff(c_2584,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2573]) ).
tff(c_2585,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_2584]) ).
tff(c_2606,plain,
! [C_477] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_477))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_477))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_477)
| ~ element(C_477,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_2584]) ).
tff(c_2431,plain,
! [A_439,B_440,C_441] :
( relstr_set_smaller(A_439,B_440,'#skF_1'(A_439,B_440,C_441))
| element('#skF_2'(A_439,B_440,C_441),the_carrier(A_439))
| ex_sup_of_relstr_set(A_439,B_440)
| ~ relstr_set_smaller(A_439,B_440,C_441)
| ~ element(C_441,the_carrier(A_439))
| ~ rel_str(A_439) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2435,plain,
! [B_440,C_441] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_440,C_441))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_440,C_441))
| relstr_set_smaller('#skF_8',B_440,'#skF_1'('#skF_8',B_440,C_441))
| ex_sup_of_relstr_set('#skF_8',B_440)
| ~ relstr_set_smaller('#skF_8',B_440,C_441)
| ~ element(C_441,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_2431,c_2363]) ).
tff(c_2438,plain,
! [B_440,C_441] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_440,C_441))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_440,C_441))
| relstr_set_smaller('#skF_8',B_440,'#skF_1'('#skF_8',B_440,C_441))
| ex_sup_of_relstr_set('#skF_8',B_440)
| ~ relstr_set_smaller('#skF_8',B_440,C_441)
| ~ element(C_441,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2435]) ).
tff(c_2608,plain,
! [C_477] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_477))
| relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_477))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_477))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_477)
| ~ element(C_477,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2606,c_2438]) ).
tff(c_2611,plain,
! [C_477] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_477))
| relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_477))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_477))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_477)
| ~ element(C_477,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_2608]) ).
tff(c_2423,plain,
! [A_436,B_437,C_438] :
( element('#skF_1'(A_436,B_437,C_438),the_carrier(A_436))
| element('#skF_2'(A_436,B_437,C_438),the_carrier(A_436))
| ex_sup_of_relstr_set(A_436,B_437)
| ~ relstr_set_smaller(A_436,B_437,C_438)
| ~ element(C_438,the_carrier(A_436))
| ~ rel_str(A_436) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2427,plain,
! [B_437,C_438] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_437,C_438))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_437,C_438))
| element('#skF_2'('#skF_8',B_437,C_438),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_437)
| ~ relstr_set_smaller('#skF_8',B_437,C_438)
| ~ element(C_438,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_2423,c_2363]) ).
tff(c_2562,plain,
! [B_469,C_470] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_469,C_470))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_469,C_470))
| element('#skF_2'('#skF_8',B_469,C_470),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_469)
| ~ relstr_set_smaller('#skF_8',B_469,C_470)
| ~ element(C_470,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2427]) ).
tff(c_2769,plain,
! [B_490,C_491] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_490,C_491))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_490,C_491))
| related('#skF_8','#skF_10','#skF_1'('#skF_8',B_490,C_491))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_490,C_491))
| ex_sup_of_relstr_set('#skF_8',B_490)
| ~ relstr_set_smaller('#skF_8',B_490,C_491)
| ~ element(C_491,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2562,c_2363]) ).
tff(c_2772,plain,
! [C_477] :
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_477))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_477))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_477))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_477)
| ~ element(C_477,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2611,c_2769]) ).
tff(c_2802,plain,
! [C_492] :
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_492))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_492))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_492))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_492)
| ~ element(C_492,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_2772]) ).
tff(c_2920,plain,
! [C_496] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_496))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_496))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_496)
| ~ element(C_496,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2585,c_2802]) ).
tff(c_2926,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2920,c_26]) ).
tff(c_2942,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2287,c_2283,c_52,c_2926]) ).
tff(c_2943,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_2942]) ).
tff(c_2955,plain,
related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitLeft,[status(thm)],[c_2943]) ).
tff(c_2957,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ~ rel_str('#skF_8')
| ~ antisymmetric_relstr('#skF_8') ),
inference(resolution,[status(thm)],[c_2955,c_88]) ).
tff(c_2960,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_52,c_2287,c_2957]) ).
tff(c_2961,plain,
( ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_2547,c_2960]) ).
tff(c_2963,plain,
~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_2961]) ).
tff(c_2975,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_34,c_2963]) ).
tff(c_2982,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2287,c_2283,c_2975]) ).
tff(c_2983,plain,
relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_99,c_2982]) ).
tff(c_2430,plain,
! [B_437,C_438] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_437,C_438))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_437,C_438))
| element('#skF_2'('#skF_8',B_437,C_438),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_437)
| ~ relstr_set_smaller('#skF_8',B_437,C_438)
| ~ element(C_438,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2427]) ).
tff(c_2972,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2430,c_2963]) ).
tff(c_2978,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2287,c_2283,c_2972]) ).
tff(c_2979,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_2978]) ).
tff(c_3011,plain,
related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(demodulation,[status(thm),theory(equality)],[c_2983,c_2979]) ).
tff(c_3017,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_3011,c_32]) ).
tff(c_3033,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2287,c_2283,c_3017]) ).
tff(c_3035,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_2963,c_3033]) ).
tff(c_3036,plain,
~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitRight,[status(thm)],[c_2961]) ).
tff(c_3046,plain,
! [E_64] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2711,c_3036]) ).
tff(c_3054,plain,
! [E_64] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2287,c_2283,c_3046]) ).
tff(c_3058,plain,
related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(splitLeft,[status(thm)],[c_3054]) ).
tff(c_3060,plain,
! [E_64] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_3058,c_20]) ).
tff(c_3072,plain,
! [E_64] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2287,c_2283,c_3060]) ).
tff(c_3101,plain,
! [E_503] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_503)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_503)
| ~ element(E_503,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_3072]) ).
tff(c_3104,plain,
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_3101,c_3036]) ).
tff(c_3134,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2287,c_2283,c_3104]) ).
tff(c_3149,plain,
! [E_504] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_504)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_504)
| ~ element(E_504,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_3054]) ).
tff(c_3152,plain,
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_3149,c_3036]) ).
tff(c_3182,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2287,c_2283,c_3152]) ).
tff(c_3184,plain,
~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_2943]) ).
tff(c_3183,plain,
relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_2943]) ).
tff(c_2929,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2920,c_32]) ).
tff(c_2946,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2287,c_2283,c_52,c_2929]) ).
tff(c_2947,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_2946]) ).
tff(c_3185,plain,
related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitLeft,[status(thm)],[c_2947]) ).
tff(c_3199,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3185,c_3184]) ).
tff(c_3200,plain,
element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_2947]) ).
tff(c_3216,plain,
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_3200,c_2363]) ).
tff(c_3219,plain,
related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(demodulation,[status(thm),theory(equality)],[c_3183,c_3216]) ).
tff(c_3221,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3184,c_3219]) ).
tff(c_3222,plain,
! [D_92] :
( related('#skF_8','#skF_10',D_92)
| ~ relstr_set_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_3494,plain,
! [B_567,C_568,E_569] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_567,C_568))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_567,C_568))
| related('#skF_8','#skF_2'('#skF_8',B_567,C_568),E_569)
| ~ relstr_set_smaller('#skF_8',B_567,E_569)
| ~ element(E_569,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_567)
| ~ relstr_set_smaller('#skF_8',B_567,C_568)
| ~ element(C_568,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_3490,c_3222]) ).
tff(c_3777,plain,
! [B_584,C_585,E_586] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_584,C_585))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_584,C_585))
| related('#skF_8','#skF_2'('#skF_8',B_584,C_585),E_586)
| ~ relstr_set_smaller('#skF_8',B_584,E_586)
| ~ element(E_586,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_584)
| ~ relstr_set_smaller('#skF_8',B_584,C_585)
| ~ element(C_585,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_3494]) ).
tff(c_3780,plain,
! [C_58,E_586,E_64] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_586)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_586)
| ~ element(E_586,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_22,c_3777]) ).
tff(c_3790,plain,
! [C_58,E_586,E_64] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_586)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_586)
| ~ element(E_586,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_3780]) ).
tff(c_3837,plain,
! [C_595,E_596,E_597] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_595))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_595),E_596)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_596)
| ~ element(E_596,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_595),E_597)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_597)
| ~ element(E_597,the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_595)
| ~ element(C_595,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_3790]) ).
tff(c_3267,plain,
! [A_519,B_520,C_521] :
( element('#skF_1'(A_519,B_520,C_521),the_carrier(A_519))
| ( '#skF_2'(A_519,B_520,C_521) != C_521 )
| ex_sup_of_relstr_set(A_519,B_520)
| ~ relstr_set_smaller(A_519,B_520,C_521)
| ~ element(C_521,the_carrier(A_519))
| ~ rel_str(A_519) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_3271,plain,
! [B_520,C_521] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_520,C_521))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_520,C_521))
| ( '#skF_2'('#skF_8',B_520,C_521) != C_521 )
| ex_sup_of_relstr_set('#skF_8',B_520)
| ~ relstr_set_smaller('#skF_8',B_520,C_521)
| ~ element(C_521,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_3267,c_3222]) ).
tff(c_3325,plain,
! [B_546,C_547] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_546,C_547))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_546,C_547))
| ( '#skF_2'('#skF_8',B_546,C_547) != C_547 )
| ex_sup_of_relstr_set('#skF_8',B_546)
| ~ relstr_set_smaller('#skF_8',B_546,C_547)
| ~ element(C_547,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_3271]) ).
tff(c_3335,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_16,c_3325]) ).
tff(c_3342,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_3335]) ).
tff(c_3344,plain,
! [C_548] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_548))
| ( '#skF_2'('#skF_8','#skF_9',C_548) != C_548 )
| ~ relstr_set_smaller('#skF_8','#skF_9',C_548)
| ~ element(C_548,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_3342]) ).
tff(c_3354,plain,
( ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' )
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_3344,c_14]) ).
tff(c_3367,plain,
( ex_sup_of_relstr_set('#skF_8','#skF_9')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2287,c_2283,c_52,c_3354]) ).
tff(c_3368,plain,
'#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10',
inference(negUnitSimplification,[status(thm)],[c_99,c_3367]) ).
tff(c_3282,plain,
! [A_526,B_527,C_528] :
( element('#skF_1'(A_526,B_527,C_528),the_carrier(A_526))
| relstr_set_smaller(A_526,B_527,'#skF_2'(A_526,B_527,C_528))
| ex_sup_of_relstr_set(A_526,B_527)
| ~ relstr_set_smaller(A_526,B_527,C_528)
| ~ element(C_528,the_carrier(A_526))
| ~ rel_str(A_526) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_3286,plain,
! [B_527,C_528] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_527,C_528))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_527,C_528))
| relstr_set_smaller('#skF_8',B_527,'#skF_2'('#skF_8',B_527,C_528))
| ex_sup_of_relstr_set('#skF_8',B_527)
| ~ relstr_set_smaller('#skF_8',B_527,C_528)
| ~ element(C_528,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_3282,c_3222]) ).
tff(c_3425,plain,
! [B_560,C_561] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_560,C_561))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_560,C_561))
| relstr_set_smaller('#skF_8',B_560,'#skF_2'('#skF_8',B_560,C_561))
| ex_sup_of_relstr_set('#skF_8',B_560)
| ~ relstr_set_smaller('#skF_8',B_560,C_561)
| ~ element(C_561,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_3286]) ).
tff(c_3431,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_28,c_3425]) ).
tff(c_3442,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_3431]) ).
tff(c_3443,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_3442]) ).
tff(c_3448,plain,
! [C_562] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_562))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_562))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_562)
| ~ element(C_562,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_3442]) ).
tff(c_3290,plain,
! [A_529,B_530,C_531] :
( relstr_set_smaller(A_529,B_530,'#skF_1'(A_529,B_530,C_531))
| element('#skF_2'(A_529,B_530,C_531),the_carrier(A_529))
| ex_sup_of_relstr_set(A_529,B_530)
| ~ relstr_set_smaller(A_529,B_530,C_531)
| ~ element(C_531,the_carrier(A_529))
| ~ rel_str(A_529) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_3294,plain,
! [B_530,C_531] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_530,C_531))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_530,C_531))
| relstr_set_smaller('#skF_8',B_530,'#skF_1'('#skF_8',B_530,C_531))
| ex_sup_of_relstr_set('#skF_8',B_530)
| ~ relstr_set_smaller('#skF_8',B_530,C_531)
| ~ element(C_531,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_3290,c_3222]) ).
tff(c_3297,plain,
! [B_530,C_531] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_530,C_531))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_530,C_531))
| relstr_set_smaller('#skF_8',B_530,'#skF_1'('#skF_8',B_530,C_531))
| ex_sup_of_relstr_set('#skF_8',B_530)
| ~ relstr_set_smaller('#skF_8',B_530,C_531)
| ~ element(C_531,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_3294]) ).
tff(c_3450,plain,
! [C_562] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_562))
| relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_562))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_562))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_562)
| ~ element(C_562,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_3448,c_3297]) ).
tff(c_3453,plain,
! [C_562] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_562))
| relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_562))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_562))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_562)
| ~ element(C_562,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_3450]) ).
tff(c_3299,plain,
! [A_535,B_536,C_537] :
( element('#skF_1'(A_535,B_536,C_537),the_carrier(A_535))
| element('#skF_2'(A_535,B_536,C_537),the_carrier(A_535))
| ex_sup_of_relstr_set(A_535,B_536)
| ~ relstr_set_smaller(A_535,B_536,C_537)
| ~ element(C_537,the_carrier(A_535))
| ~ rel_str(A_535) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_3303,plain,
! [B_536,C_537] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_536,C_537))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_536,C_537))
| element('#skF_2'('#skF_8',B_536,C_537),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_536)
| ~ relstr_set_smaller('#skF_8',B_536,C_537)
| ~ element(C_537,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_3299,c_3222]) ).
tff(c_3377,plain,
! [B_552,C_553] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_552,C_553))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_552,C_553))
| element('#skF_2'('#skF_8',B_552,C_553),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_552)
| ~ relstr_set_smaller('#skF_8',B_552,C_553)
| ~ element(C_553,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_3303]) ).
tff(c_3550,plain,
! [B_574,C_575] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_574,C_575))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_574,C_575))
| related('#skF_8','#skF_10','#skF_1'('#skF_8',B_574,C_575))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_574,C_575))
| ex_sup_of_relstr_set('#skF_8',B_574)
| ~ relstr_set_smaller('#skF_8',B_574,C_575)
| ~ element(C_575,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_3377,c_3222]) ).
tff(c_3553,plain,
! [C_562] :
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_562))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_562))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_562))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_562)
| ~ element(C_562,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_3453,c_3550]) ).
tff(c_3583,plain,
! [C_576] :
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_576))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_576))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_576))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_576)
| ~ element(C_576,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_3553]) ).
tff(c_3590,plain,
! [C_577] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_577))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_577))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_577)
| ~ element(C_577,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_3443,c_3583]) ).
tff(c_3596,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_3590,c_26]) ).
tff(c_3612,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2287,c_2283,c_52,c_3596]) ).
tff(c_3613,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_3612]) ).
tff(c_3625,plain,
related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitLeft,[status(thm)],[c_3613]) ).
tff(c_3627,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ~ rel_str('#skF_8')
| ~ antisymmetric_relstr('#skF_8') ),
inference(resolution,[status(thm)],[c_3625,c_88]) ).
tff(c_3630,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_52,c_2287,c_3627]) ).
tff(c_3631,plain,
( ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_3368,c_3630]) ).
tff(c_3633,plain,
~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_3631]) ).
tff(c_3662,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_34,c_3633]) ).
tff(c_3669,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2287,c_2283,c_3662]) ).
tff(c_3670,plain,
relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_99,c_3669]) ).
tff(c_3306,plain,
! [B_536,C_537] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_536,C_537))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_536,C_537))
| element('#skF_2'('#skF_8',B_536,C_537),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_536)
| ~ relstr_set_smaller('#skF_8',B_536,C_537)
| ~ element(C_537,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_3303]) ).
tff(c_3659,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_3306,c_3633]) ).
tff(c_3665,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2287,c_2283,c_3659]) ).
tff(c_3666,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_3665]) ).
tff(c_3698,plain,
related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(demodulation,[status(thm),theory(equality)],[c_3670,c_3666]) ).
tff(c_3704,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_3698,c_32]) ).
tff(c_3720,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2287,c_2283,c_3704]) ).
tff(c_3722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_3633,c_3720]) ).
tff(c_3723,plain,
~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitRight,[status(thm)],[c_3631]) ).
tff(c_3840,plain,
! [E_597] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_597)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_597)
| ~ element(E_597,the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_3837,c_3723]) ).
tff(c_3898,plain,
! [E_597] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_597)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_597)
| ~ element(E_597,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2287,c_2283,c_3840]) ).
tff(c_3946,plain,
related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(splitLeft,[status(thm)],[c_3898]) ).
tff(c_3948,plain,
! [E_64] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_3946,c_20]) ).
tff(c_3960,plain,
! [E_64] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2287,c_2283,c_3948]) ).
tff(c_4000,plain,
! [E_601] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_601)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_601)
| ~ element(E_601,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_3960]) ).
tff(c_4003,plain,
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4000,c_3723]) ).
tff(c_4033,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2287,c_2283,c_4003]) ).
tff(c_4049,plain,
! [E_604] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_604)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_604)
| ~ element(E_604,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_3898]) ).
tff(c_4052,plain,
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4049,c_3723]) ).
tff(c_4082,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2287,c_2283,c_4052]) ).
tff(c_4084,plain,
~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_3613]) ).
tff(c_4083,plain,
relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_3613]) ).
tff(c_3599,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_3590,c_32]) ).
tff(c_3616,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2287,c_2283,c_52,c_3599]) ).
tff(c_3617,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_3616]) ).
tff(c_4091,plain,
element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(negUnitSimplification,[status(thm)],[c_4084,c_3617]) ).
tff(c_4094,plain,
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_4091,c_3222]) ).
tff(c_4097,plain,
related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(demodulation,[status(thm),theory(equality)],[c_4083,c_4094]) ).
tff(c_4099,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4084,c_4097]) ).
tff(c_4100,plain,
! [C_96] :
( relstr_set_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_4106,plain,
! [A_607,B_608,D_609] :
( related(A_607,'#skF_3'(A_607,B_608),D_609)
| ~ relstr_set_smaller(A_607,B_608,D_609)
| ~ element(D_609,the_carrier(A_607))
| ~ ex_sup_of_relstr_set(A_607,B_608)
| ~ rel_str(A_607) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_4110,plain,
! [B_608] :
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_608))
| ~ element('#skF_3'('#skF_8',B_608),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8',B_608,'#skF_12'('#skF_3'('#skF_8',B_608)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_608)),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8',B_608)
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4106,c_2285]) ).
tff(c_4134,plain,
! [B_631] :
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_631))
| ~ element('#skF_3'('#skF_8',B_631),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8',B_631,'#skF_12'('#skF_3'('#skF_8',B_631)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_631)),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8',B_631) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4110]) ).
tff(c_4137,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4100,c_4134]) ).
tff(c_4140,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_100,c_4137]) ).
tff(c_4141,plain,
~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_4140]) ).
tff(c_4144,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6,c_4141]) ).
tff(c_4148,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_4144]) ).
tff(c_4150,plain,
element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_4140]) ).
tff(c_4101,plain,
~ element('#skF_10',the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_4103,plain,
! [C_96] :
( element('#skF_12'(C_96),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_4101,c_78]) ).
tff(c_4149,plain,
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_4140]) ).
tff(c_4151,plain,
~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_4149]) ).
tff(c_4154,plain,
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4103,c_4151]) ).
tff(c_4157,plain,
~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(demodulation,[status(thm),theory(equality)],[c_4150,c_4154]) ).
tff(c_4165,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_4157]) ).
tff(c_4169,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_4165]) ).
tff(c_4170,plain,
~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(splitRight,[status(thm)],[c_4149]) ).
tff(c_4174,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_4170]) ).
tff(c_4178,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_4174]) ).
tff(c_4179,plain,
element('#skF_10',the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_6300,plain,
! [A_901,B_902,C_903,E_904] :
( element('#skF_1'(A_901,B_902,C_903),the_carrier(A_901))
| related(A_901,'#skF_2'(A_901,B_902,C_903),E_904)
| ~ relstr_set_smaller(A_901,B_902,E_904)
| ~ element(E_904,the_carrier(A_901))
| ex_sup_of_relstr_set(A_901,B_902)
| ~ relstr_set_smaller(A_901,B_902,C_903)
| ~ element(C_903,the_carrier(A_901))
| ~ rel_str(A_901) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_5375,plain,
! [A_809,B_810,C_811,E_812] :
( element('#skF_1'(A_809,B_810,C_811),the_carrier(A_809))
| related(A_809,'#skF_2'(A_809,B_810,C_811),E_812)
| ~ relstr_set_smaller(A_809,B_810,E_812)
| ~ element(E_812,the_carrier(A_809))
| ex_sup_of_relstr_set(A_809,B_810)
| ~ relstr_set_smaller(A_809,B_810,C_811)
| ~ element(C_811,the_carrier(A_809))
| ~ rel_str(A_809) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_4549,plain,
! [A_726,B_727,C_728,E_729] :
( element('#skF_1'(A_726,B_727,C_728),the_carrier(A_726))
| related(A_726,'#skF_2'(A_726,B_727,C_728),E_729)
| ~ relstr_set_smaller(A_726,B_727,E_729)
| ~ element(E_729,the_carrier(A_726))
| ex_sup_of_relstr_set(A_726,B_727)
| ~ relstr_set_smaller(A_726,B_727,C_728)
| ~ element(C_728,the_carrier(A_726))
| ~ rel_str(A_726) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_4214,plain,
! [C_96] :
( relstr_set_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_2,plain,
! [A_1,B_39,D_69] :
( related(A_1,'#skF_3'(A_1,B_39),D_69)
| ~ relstr_set_smaller(A_1,B_39,D_69)
| ~ element(D_69,the_carrier(A_1))
| ~ ex_sup_of_relstr_set(A_1,B_39)
| ~ rel_str(A_1) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_58,plain,
! [D_92,C_96] :
( related('#skF_8','#skF_10',D_92)
| ~ relstr_set_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8'))
| ~ related('#skF_8',C_96,'#skF_12'(C_96))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_4200,plain,
! [C_654] :
( ~ related('#skF_8',C_654,'#skF_12'(C_654))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_654)
| ~ element(C_654,the_carrier('#skF_8')) ),
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_4204,plain,
! [B_39] :
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_39))
| ~ element('#skF_3'('#skF_8',B_39),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8',B_39,'#skF_12'('#skF_3'('#skF_8',B_39)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_39)),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8',B_39)
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_2,c_4200]) ).
tff(c_4228,plain,
! [B_671] :
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_671))
| ~ element('#skF_3'('#skF_8',B_671),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8',B_671,'#skF_12'('#skF_3'('#skF_8',B_671)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_671)),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8',B_671) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4204]) ).
tff(c_4231,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4214,c_4228]) ).
tff(c_4234,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_100,c_4231]) ).
tff(c_4235,plain,
~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_4234]) ).
tff(c_4238,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6,c_4235]) ).
tff(c_4242,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_4238]) ).
tff(c_4244,plain,
element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_4234]) ).
tff(c_4197,plain,
! [C_96] :
( element('#skF_12'(C_96),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_4243,plain,
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_4234]) ).
tff(c_4245,plain,
~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_4243]) ).
tff(c_4248,plain,
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4197,c_4245]) ).
tff(c_4251,plain,
~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(demodulation,[status(thm),theory(equality)],[c_4244,c_4248]) ).
tff(c_4255,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_4251]) ).
tff(c_4259,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_4255]) ).
tff(c_4260,plain,
~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(splitRight,[status(thm)],[c_4243]) ).
tff(c_4264,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_4260]) ).
tff(c_4268,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_4264]) ).
tff(c_4269,plain,
! [D_92] :
( related('#skF_8','#skF_10',D_92)
| ~ relstr_set_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_4553,plain,
! [B_727,C_728,E_729] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_727,C_728))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_727,C_728))
| related('#skF_8','#skF_2'('#skF_8',B_727,C_728),E_729)
| ~ relstr_set_smaller('#skF_8',B_727,E_729)
| ~ element(E_729,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_727)
| ~ relstr_set_smaller('#skF_8',B_727,C_728)
| ~ element(C_728,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4549,c_4269]) ).
tff(c_4633,plain,
! [B_733,C_734,E_735] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_733,C_734))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_733,C_734))
| related('#skF_8','#skF_2'('#skF_8',B_733,C_734),E_735)
| ~ relstr_set_smaller('#skF_8',B_733,E_735)
| ~ element(E_735,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_733)
| ~ relstr_set_smaller('#skF_8',B_733,C_734)
| ~ element(C_734,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4553]) ).
tff(c_4638,plain,
! [C_58,E_735,E_64] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_735)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_735)
| ~ element(E_735,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_22,c_4633]) ).
tff(c_4651,plain,
! [C_58,E_735,E_64] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_735)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_735)
| ~ element(E_735,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4638]) ).
tff(c_4879,plain,
! [C_751,E_752,E_753] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_751))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_751),E_752)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_752)
| ~ element(E_752,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_751),E_753)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_753)
| ~ element(E_753,the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_751)
| ~ element(C_751,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_4651]) ).
tff(c_4316,plain,
! [A_678,B_679,C_680] :
( element('#skF_1'(A_678,B_679,C_680),the_carrier(A_678))
| ( '#skF_2'(A_678,B_679,C_680) != C_680 )
| ex_sup_of_relstr_set(A_678,B_679)
| ~ relstr_set_smaller(A_678,B_679,C_680)
| ~ element(C_680,the_carrier(A_678))
| ~ rel_str(A_678) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_4320,plain,
! [B_679,C_680] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_679,C_680))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_679,C_680))
| ( '#skF_2'('#skF_8',B_679,C_680) != C_680 )
| ex_sup_of_relstr_set('#skF_8',B_679)
| ~ relstr_set_smaller('#skF_8',B_679,C_680)
| ~ element(C_680,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4316,c_4269]) ).
tff(c_4368,plain,
! [B_702,C_703] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_702,C_703))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_702,C_703))
| ( '#skF_2'('#skF_8',B_702,C_703) != C_703 )
| ex_sup_of_relstr_set('#skF_8',B_702)
| ~ relstr_set_smaller('#skF_8',B_702,C_703)
| ~ element(C_703,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4320]) ).
tff(c_4378,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_16,c_4368]) ).
tff(c_4385,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4378]) ).
tff(c_4387,plain,
! [C_704] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_704))
| ( '#skF_2'('#skF_8','#skF_9',C_704) != C_704 )
| ~ relstr_set_smaller('#skF_8','#skF_9',C_704)
| ~ element(C_704,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_4385]) ).
tff(c_4397,plain,
( ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' )
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4387,c_14]) ).
tff(c_4410,plain,
( ex_sup_of_relstr_set('#skF_8','#skF_9')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_52,c_4397]) ).
tff(c_4411,plain,
'#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10',
inference(negUnitSimplification,[status(thm)],[c_99,c_4410]) ).
tff(c_4324,plain,
! [A_681,B_682,C_683] :
( element('#skF_1'(A_681,B_682,C_683),the_carrier(A_681))
| relstr_set_smaller(A_681,B_682,'#skF_2'(A_681,B_682,C_683))
| ex_sup_of_relstr_set(A_681,B_682)
| ~ relstr_set_smaller(A_681,B_682,C_683)
| ~ element(C_683,the_carrier(A_681))
| ~ rel_str(A_681) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_4328,plain,
! [B_682,C_683] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_682,C_683))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_682,C_683))
| relstr_set_smaller('#skF_8',B_682,'#skF_2'('#skF_8',B_682,C_683))
| ex_sup_of_relstr_set('#skF_8',B_682)
| ~ relstr_set_smaller('#skF_8',B_682,C_683)
| ~ element(C_683,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4324,c_4269]) ).
tff(c_4461,plain,
! [B_712,C_713] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_712,C_713))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_712,C_713))
| relstr_set_smaller('#skF_8',B_712,'#skF_2'('#skF_8',B_712,C_713))
| ex_sup_of_relstr_set('#skF_8',B_712)
| ~ relstr_set_smaller('#skF_8',B_712,C_713)
| ~ element(C_713,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4328]) ).
tff(c_4468,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_28,c_4461]) ).
tff(c_4478,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4468]) ).
tff(c_4479,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_4478]) ).
tff(c_4341,plain,
! [A_690,B_691,C_692] :
( relstr_set_smaller(A_690,B_691,'#skF_1'(A_690,B_691,C_692))
| element('#skF_2'(A_690,B_691,C_692),the_carrier(A_690))
| ex_sup_of_relstr_set(A_690,B_691)
| ~ relstr_set_smaller(A_690,B_691,C_692)
| ~ element(C_692,the_carrier(A_690))
| ~ rel_str(A_690) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_4345,plain,
! [B_691,C_692] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_691,C_692))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_691,C_692))
| relstr_set_smaller('#skF_8',B_691,'#skF_1'('#skF_8',B_691,C_692))
| ex_sup_of_relstr_set('#skF_8',B_691)
| ~ relstr_set_smaller('#skF_8',B_691,C_692)
| ~ element(C_692,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4341,c_4269]) ).
tff(c_4490,plain,
! [B_717,C_718] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_717,C_718))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_717,C_718))
| relstr_set_smaller('#skF_8',B_717,'#skF_1'('#skF_8',B_717,C_718))
| ex_sup_of_relstr_set('#skF_8',B_717)
| ~ relstr_set_smaller('#skF_8',B_717,C_718)
| ~ element(C_718,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4345]) ).
tff(c_4492,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4479,c_4490]) ).
tff(c_4496,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_4492]) ).
tff(c_4332,plain,
! [A_684,B_685,C_686] :
( element('#skF_1'(A_684,B_685,C_686),the_carrier(A_684))
| element('#skF_2'(A_684,B_685,C_686),the_carrier(A_684))
| ex_sup_of_relstr_set(A_684,B_685)
| ~ relstr_set_smaller(A_684,B_685,C_686)
| ~ element(C_686,the_carrier(A_684))
| ~ rel_str(A_684) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_4336,plain,
! [B_685,C_686] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_685,C_686))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_685,C_686))
| element('#skF_2'('#skF_8',B_685,C_686),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_685)
| ~ relstr_set_smaller('#skF_8',B_685,C_686)
| ~ element(C_686,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4332,c_4269]) ).
tff(c_4485,plain,
! [B_715,C_716] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_715,C_716))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_715,C_716))
| element('#skF_2'('#skF_8',B_715,C_716),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_715)
| ~ relstr_set_smaller('#skF_8',B_715,C_716)
| ~ element(C_716,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4336]) ).
tff(c_4593,plain,
! [B_730,C_731] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_730,C_731))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_730,C_731))
| related('#skF_8','#skF_10','#skF_1'('#skF_8',B_730,C_731))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_730,C_731))
| ex_sup_of_relstr_set('#skF_8',B_730)
| ~ relstr_set_smaller('#skF_8',B_730,C_731)
| ~ element(C_731,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4485,c_4269]) ).
tff(c_4596,plain,
! [C_58] :
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4496,c_4593]) ).
tff(c_4626,plain,
! [C_732] :
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_732))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_732))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_732))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_732)
| ~ element(C_732,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_4596]) ).
tff(c_4661,plain,
! [C_736] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_736))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_736))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_736)
| ~ element(C_736,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4479,c_4626]) ).
tff(c_4667,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4661,c_26]) ).
tff(c_4683,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_52,c_4667]) ).
tff(c_4684,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_4683]) ).
tff(c_4696,plain,
related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitLeft,[status(thm)],[c_4684]) ).
tff(c_4698,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ~ rel_str('#skF_8')
| ~ antisymmetric_relstr('#skF_8') ),
inference(resolution,[status(thm)],[c_4696,c_88]) ).
tff(c_4701,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_52,c_4179,c_4698]) ).
tff(c_4702,plain,
( ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_4411,c_4701]) ).
tff(c_4704,plain,
~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_4702]) ).
tff(c_4710,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_34,c_4704]) ).
tff(c_4717,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4179,c_2283,c_4710]) ).
tff(c_4718,plain,
relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_99,c_4717]) ).
tff(c_4339,plain,
! [B_685,C_686] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_685,C_686))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_685,C_686))
| element('#skF_2'('#skF_8',B_685,C_686),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_685)
| ~ relstr_set_smaller('#skF_8',B_685,C_686)
| ~ element(C_686,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4336]) ).
tff(c_4707,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4339,c_4704]) ).
tff(c_4713,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_4707]) ).
tff(c_4714,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_4713]) ).
tff(c_4746,plain,
related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(demodulation,[status(thm),theory(equality)],[c_4718,c_4714]) ).
tff(c_4752,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4746,c_32]) ).
tff(c_4768,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4179,c_2283,c_4752]) ).
tff(c_4770,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_4704,c_4768]) ).
tff(c_4771,plain,
~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitRight,[status(thm)],[c_4702]) ).
tff(c_4882,plain,
! [E_753] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_753)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_753)
| ~ element(E_753,the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4879,c_4771]) ).
tff(c_4940,plain,
! [E_753] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_753)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_753)
| ~ element(E_753,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_4882]) ).
tff(c_4988,plain,
related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(splitLeft,[status(thm)],[c_4940]) ).
tff(c_4990,plain,
! [E_64] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4988,c_20]) ).
tff(c_5002,plain,
! [E_64] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4179,c_2283,c_4990]) ).
tff(c_5025,plain,
! [E_754] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_754)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_754)
| ~ element(E_754,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_5002]) ).
tff(c_5028,plain,
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5025,c_4771]) ).
tff(c_5058,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_5028]) ).
tff(c_5090,plain,
! [E_758] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_758)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_758)
| ~ element(E_758,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_4940]) ).
tff(c_5093,plain,
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5090,c_4771]) ).
tff(c_5123,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_5093]) ).
tff(c_5125,plain,
~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_4684]) ).
tff(c_5124,plain,
relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_4684]) ).
tff(c_4670,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4661,c_32]) ).
tff(c_4687,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_52,c_4670]) ).
tff(c_4688,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_4687]) ).
tff(c_5132,plain,
element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(negUnitSimplification,[status(thm)],[c_5125,c_4688]) ).
tff(c_5135,plain,
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_5132,c_4269]) ).
tff(c_5138,plain,
related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(demodulation,[status(thm),theory(equality)],[c_5124,c_5135]) ).
tff(c_5140,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5125,c_5138]) ).
tff(c_5141,plain,
! [D_92] :
( related('#skF_8','#skF_10',D_92)
| ~ relstr_set_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_5379,plain,
! [B_810,C_811,E_812] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_810,C_811))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_810,C_811))
| related('#skF_8','#skF_2'('#skF_8',B_810,C_811),E_812)
| ~ relstr_set_smaller('#skF_8',B_810,E_812)
| ~ element(E_812,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_810)
| ~ relstr_set_smaller('#skF_8',B_810,C_811)
| ~ element(C_811,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_5375,c_5141]) ).
tff(c_5696,plain,
! [B_829,C_830,E_831] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_829,C_830))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_829,C_830))
| related('#skF_8','#skF_2'('#skF_8',B_829,C_830),E_831)
| ~ relstr_set_smaller('#skF_8',B_829,E_831)
| ~ element(E_831,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_829)
| ~ relstr_set_smaller('#skF_8',B_829,C_830)
| ~ element(C_830,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5379]) ).
tff(c_5699,plain,
! [C_58,E_831,E_64] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_831)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_831)
| ~ element(E_831,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_22,c_5696]) ).
tff(c_5709,plain,
! [C_58,E_831,E_64] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_831)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_831)
| ~ element(E_831,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5699]) ).
tff(c_5744,plain,
! [C_838,E_839,E_840] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_838))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_838),E_839)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_839)
| ~ element(E_839,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_838),E_840)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_840)
| ~ element(E_840,the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_838)
| ~ element(C_838,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_5709]) ).
tff(c_5195,plain,
! [A_766,B_767,C_768] :
( element('#skF_1'(A_766,B_767,C_768),the_carrier(A_766))
| ( '#skF_2'(A_766,B_767,C_768) != C_768 )
| ex_sup_of_relstr_set(A_766,B_767)
| ~ relstr_set_smaller(A_766,B_767,C_768)
| ~ element(C_768,the_carrier(A_766))
| ~ rel_str(A_766) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_5199,plain,
! [B_767,C_768] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_767,C_768))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_767,C_768))
| ( '#skF_2'('#skF_8',B_767,C_768) != C_768 )
| ex_sup_of_relstr_set('#skF_8',B_767)
| ~ relstr_set_smaller('#skF_8',B_767,C_768)
| ~ element(C_768,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_5195,c_5141]) ).
tff(c_5246,plain,
! [B_789,C_790] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_789,C_790))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_789,C_790))
| ( '#skF_2'('#skF_8',B_789,C_790) != C_790 )
| ex_sup_of_relstr_set('#skF_8',B_789)
| ~ relstr_set_smaller('#skF_8',B_789,C_790)
| ~ element(C_790,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5199]) ).
tff(c_5256,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_16,c_5246]) ).
tff(c_5263,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5256]) ).
tff(c_5265,plain,
! [C_791] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_791))
| ( '#skF_2'('#skF_8','#skF_9',C_791) != C_791 )
| ~ relstr_set_smaller('#skF_8','#skF_9',C_791)
| ~ element(C_791,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_5263]) ).
tff(c_5275,plain,
( ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' )
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5265,c_14]) ).
tff(c_5288,plain,
( ex_sup_of_relstr_set('#skF_8','#skF_9')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_52,c_5275]) ).
tff(c_5289,plain,
'#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10',
inference(negUnitSimplification,[status(thm)],[c_99,c_5288]) ).
tff(c_5203,plain,
! [A_769,B_770,C_771] :
( element('#skF_1'(A_769,B_770,C_771),the_carrier(A_769))
| relstr_set_smaller(A_769,B_770,'#skF_2'(A_769,B_770,C_771))
| ex_sup_of_relstr_set(A_769,B_770)
| ~ relstr_set_smaller(A_769,B_770,C_771)
| ~ element(C_771,the_carrier(A_769))
| ~ rel_str(A_769) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_5207,plain,
! [B_770,C_771] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_770,C_771))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_770,C_771))
| relstr_set_smaller('#skF_8',B_770,'#skF_2'('#skF_8',B_770,C_771))
| ex_sup_of_relstr_set('#skF_8',B_770)
| ~ relstr_set_smaller('#skF_8',B_770,C_771)
| ~ element(C_771,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_5203,c_5141]) ).
tff(c_5315,plain,
! [B_801,C_802] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_801,C_802))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_801,C_802))
| relstr_set_smaller('#skF_8',B_801,'#skF_2'('#skF_8',B_801,C_802))
| ex_sup_of_relstr_set('#skF_8',B_801)
| ~ relstr_set_smaller('#skF_8',B_801,C_802)
| ~ element(C_802,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5207]) ).
tff(c_5319,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_28,c_5315]) ).
tff(c_5325,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5319]) ).
tff(c_5326,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_5325]) ).
tff(c_5220,plain,
! [A_778,B_779,C_780] :
( relstr_set_smaller(A_778,B_779,'#skF_1'(A_778,B_779,C_780))
| element('#skF_2'(A_778,B_779,C_780),the_carrier(A_778))
| ex_sup_of_relstr_set(A_778,B_779)
| ~ relstr_set_smaller(A_778,B_779,C_780)
| ~ element(C_780,the_carrier(A_778))
| ~ rel_str(A_778) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_5224,plain,
! [B_779,C_780] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_779,C_780))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_779,C_780))
| relstr_set_smaller('#skF_8',B_779,'#skF_1'('#skF_8',B_779,C_780))
| ex_sup_of_relstr_set('#skF_8',B_779)
| ~ relstr_set_smaller('#skF_8',B_779,C_780)
| ~ element(C_780,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_5220,c_5141]) ).
tff(c_5332,plain,
! [B_804,C_805] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_804,C_805))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_804,C_805))
| relstr_set_smaller('#skF_8',B_804,'#skF_1'('#skF_8',B_804,C_805))
| ex_sup_of_relstr_set('#skF_8',B_804)
| ~ relstr_set_smaller('#skF_8',B_804,C_805)
| ~ element(C_805,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5224]) ).
tff(c_5334,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5326,c_5332]) ).
tff(c_5338,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_5334]) ).
tff(c_5212,plain,
! [A_775,B_776,C_777] :
( element('#skF_1'(A_775,B_776,C_777),the_carrier(A_775))
| element('#skF_2'(A_775,B_776,C_777),the_carrier(A_775))
| ex_sup_of_relstr_set(A_775,B_776)
| ~ relstr_set_smaller(A_775,B_776,C_777)
| ~ element(C_777,the_carrier(A_775))
| ~ rel_str(A_775) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_5216,plain,
! [B_776,C_777] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_776,C_777))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_776,C_777))
| element('#skF_2'('#skF_8',B_776,C_777),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_776)
| ~ relstr_set_smaller('#skF_8',B_776,C_777)
| ~ element(C_777,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_5212,c_5141]) ).
tff(c_5298,plain,
! [B_795,C_796] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_795,C_796))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_795,C_796))
| element('#skF_2'('#skF_8',B_795,C_796),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_795)
| ~ relstr_set_smaller('#skF_8',B_795,C_796)
| ~ element(C_796,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5216]) ).
tff(c_5457,plain,
! [B_817,C_818] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_817,C_818))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_817,C_818))
| related('#skF_8','#skF_10','#skF_1'('#skF_8',B_817,C_818))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_817,C_818))
| ex_sup_of_relstr_set('#skF_8',B_817)
| ~ relstr_set_smaller('#skF_8',B_817,C_818)
| ~ element(C_818,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5298,c_5141]) ).
tff(c_5464,plain,
! [C_58] :
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5338,c_5457]) ).
tff(c_5490,plain,
! [C_819] :
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_819))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_819))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_819))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_819)
| ~ element(C_819,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_5464]) ).
tff(c_5497,plain,
! [C_820] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_820))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_820))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_820)
| ~ element(C_820,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5326,c_5490]) ).
tff(c_5503,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5497,c_26]) ).
tff(c_5519,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_52,c_5503]) ).
tff(c_5520,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_5519]) ).
tff(c_5532,plain,
related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitLeft,[status(thm)],[c_5520]) ).
tff(c_5534,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ~ rel_str('#skF_8')
| ~ antisymmetric_relstr('#skF_8') ),
inference(resolution,[status(thm)],[c_5532,c_88]) ).
tff(c_5537,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_52,c_4179,c_5534]) ).
tff(c_5538,plain,
( ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_5289,c_5537]) ).
tff(c_5540,plain,
~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_5538]) ).
tff(c_5546,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_34,c_5540]) ).
tff(c_5553,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4179,c_2283,c_5546]) ).
tff(c_5554,plain,
relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_99,c_5553]) ).
tff(c_5219,plain,
! [B_776,C_777] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_776,C_777))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_776,C_777))
| element('#skF_2'('#skF_8',B_776,C_777),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_776)
| ~ relstr_set_smaller('#skF_8',B_776,C_777)
| ~ element(C_777,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5216]) ).
tff(c_5543,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5219,c_5540]) ).
tff(c_5549,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_5543]) ).
tff(c_5550,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_5549]) ).
tff(c_5605,plain,
related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(demodulation,[status(thm),theory(equality)],[c_5554,c_5550]) ).
tff(c_5611,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_5605,c_32]) ).
tff(c_5627,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4179,c_2283,c_5611]) ).
tff(c_5629,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_5540,c_5627]) ).
tff(c_5630,plain,
~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitRight,[status(thm)],[c_5538]) ).
tff(c_5747,plain,
! [E_840] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_840)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_840)
| ~ element(E_840,the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5744,c_5630]) ).
tff(c_5797,plain,
! [E_840] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_840)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_840)
| ~ element(E_840,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_5747]) ).
tff(c_5843,plain,
related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(splitLeft,[status(thm)],[c_5797]) ).
tff(c_5845,plain,
! [E_64] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_5843,c_20]) ).
tff(c_5857,plain,
! [E_64] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4179,c_2283,c_5845]) ).
tff(c_5897,plain,
! [E_844] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_844)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_844)
| ~ element(E_844,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_5857]) ).
tff(c_5900,plain,
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5897,c_5630]) ).
tff(c_5926,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_5900]) ).
tff(c_5941,plain,
! [E_845] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_845)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_845)
| ~ element(E_845,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_5797]) ).
tff(c_5944,plain,
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5941,c_5630]) ).
tff(c_5970,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_5944]) ).
tff(c_5972,plain,
~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_5520]) ).
tff(c_5971,plain,
relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_5520]) ).
tff(c_5506,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5497,c_32]) ).
tff(c_5523,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_52,c_5506]) ).
tff(c_5524,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_5523]) ).
tff(c_5973,plain,
related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitLeft,[status(thm)],[c_5524]) ).
tff(c_5987,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5973,c_5972]) ).
tff(c_5988,plain,
element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_5524]) ).
tff(c_6021,plain,
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_5988,c_5141]) ).
tff(c_6024,plain,
related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(demodulation,[status(thm),theory(equality)],[c_5971,c_6021]) ).
tff(c_6026,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5972,c_6024]) ).
tff(c_6027,plain,
! [D_92] :
( related('#skF_8','#skF_10',D_92)
| ~ relstr_set_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_6304,plain,
! [B_902,C_903,E_904] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_902,C_903))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_902,C_903))
| related('#skF_8','#skF_2'('#skF_8',B_902,C_903),E_904)
| ~ relstr_set_smaller('#skF_8',B_902,E_904)
| ~ element(E_904,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_902)
| ~ relstr_set_smaller('#skF_8',B_902,C_903)
| ~ element(C_903,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6300,c_6027]) ).
tff(c_6377,plain,
! [B_908,C_909,E_910] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_908,C_909))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_908,C_909))
| related('#skF_8','#skF_2'('#skF_8',B_908,C_909),E_910)
| ~ relstr_set_smaller('#skF_8',B_908,E_910)
| ~ element(E_910,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_908)
| ~ relstr_set_smaller('#skF_8',B_908,C_909)
| ~ element(C_909,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6304]) ).
tff(c_6382,plain,
! [C_58,E_910,E_64] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_910)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_910)
| ~ element(E_910,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_22,c_6377]) ).
tff(c_6395,plain,
! [C_58,E_910,E_64] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_910)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_910)
| ~ element(E_910,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6382]) ).
tff(c_6638,plain,
! [C_927,E_928,E_929] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_927))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_927),E_928)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_928)
| ~ element(E_928,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_927),E_929)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_929)
| ~ element(E_929,the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_927)
| ~ element(C_927,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_6395]) ).
tff(c_6069,plain,
! [A_851,B_852,C_853] :
( element('#skF_1'(A_851,B_852,C_853),the_carrier(A_851))
| ( '#skF_2'(A_851,B_852,C_853) != C_853 )
| ex_sup_of_relstr_set(A_851,B_852)
| ~ relstr_set_smaller(A_851,B_852,C_853)
| ~ element(C_853,the_carrier(A_851))
| ~ rel_str(A_851) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_6073,plain,
! [B_852,C_853] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_852,C_853))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_852,C_853))
| ( '#skF_2'('#skF_8',B_852,C_853) != C_853 )
| ex_sup_of_relstr_set('#skF_8',B_852)
| ~ relstr_set_smaller('#skF_8',B_852,C_853)
| ~ element(C_853,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6069,c_6027]) ).
tff(c_6126,plain,
! [B_877,C_878] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_877,C_878))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_877,C_878))
| ( '#skF_2'('#skF_8',B_877,C_878) != C_878 )
| ex_sup_of_relstr_set('#skF_8',B_877)
| ~ relstr_set_smaller('#skF_8',B_877,C_878)
| ~ element(C_878,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6073]) ).
tff(c_6136,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_16,c_6126]) ).
tff(c_6143,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6136]) ).
tff(c_6145,plain,
! [C_879] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_879))
| ( '#skF_2'('#skF_8','#skF_9',C_879) != C_879 )
| ~ relstr_set_smaller('#skF_8','#skF_9',C_879)
| ~ element(C_879,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_6143]) ).
tff(c_6155,plain,
( ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' )
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6145,c_14]) ).
tff(c_6168,plain,
( ex_sup_of_relstr_set('#skF_8','#skF_9')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_52,c_6155]) ).
tff(c_6169,plain,
'#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10',
inference(negUnitSimplification,[status(thm)],[c_99,c_6168]) ).
tff(c_6110,plain,
! [A_871,B_872,C_873] :
( element('#skF_1'(A_871,B_872,C_873),the_carrier(A_871))
| relstr_set_smaller(A_871,B_872,'#skF_2'(A_871,B_872,C_873))
| ex_sup_of_relstr_set(A_871,B_872)
| ~ relstr_set_smaller(A_871,B_872,C_873)
| ~ element(C_873,the_carrier(A_871))
| ~ rel_str(A_871) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_6114,plain,
! [B_872,C_873] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_872,C_873))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_872,C_873))
| relstr_set_smaller('#skF_8',B_872,'#skF_2'('#skF_8',B_872,C_873))
| ex_sup_of_relstr_set('#skF_8',B_872)
| ~ relstr_set_smaller('#skF_8',B_872,C_873)
| ~ element(C_873,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6110,c_6027]) ).
tff(c_6217,plain,
! [B_889,C_890] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_889,C_890))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_889,C_890))
| relstr_set_smaller('#skF_8',B_889,'#skF_2'('#skF_8',B_889,C_890))
| ex_sup_of_relstr_set('#skF_8',B_889)
| ~ relstr_set_smaller('#skF_8',B_889,C_890)
| ~ element(C_890,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6114]) ).
tff(c_6224,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_28,c_6217]) ).
tff(c_6234,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6224]) ).
tff(c_6235,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_6234]) ).
tff(c_6118,plain,
! [A_874,B_875,C_876] :
( relstr_set_smaller(A_874,B_875,'#skF_1'(A_874,B_875,C_876))
| element('#skF_2'(A_874,B_875,C_876),the_carrier(A_874))
| ex_sup_of_relstr_set(A_874,B_875)
| ~ relstr_set_smaller(A_874,B_875,C_876)
| ~ element(C_876,the_carrier(A_874))
| ~ rel_str(A_874) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_6122,plain,
! [B_875,C_876] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_875,C_876))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_875,C_876))
| relstr_set_smaller('#skF_8',B_875,'#skF_1'('#skF_8',B_875,C_876))
| ex_sup_of_relstr_set('#skF_8',B_875)
| ~ relstr_set_smaller('#skF_8',B_875,C_876)
| ~ element(C_876,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6118,c_6027]) ).
tff(c_6241,plain,
! [B_892,C_893] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_892,C_893))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_892,C_893))
| relstr_set_smaller('#skF_8',B_892,'#skF_1'('#skF_8',B_892,C_893))
| ex_sup_of_relstr_set('#skF_8',B_892)
| ~ relstr_set_smaller('#skF_8',B_892,C_893)
| ~ element(C_893,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6122]) ).
tff(c_6243,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6235,c_6241]) ).
tff(c_6247,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_6243]) ).
tff(c_6088,plain,
! [A_860,B_861,C_862] :
( element('#skF_1'(A_860,B_861,C_862),the_carrier(A_860))
| element('#skF_2'(A_860,B_861,C_862),the_carrier(A_860))
| ex_sup_of_relstr_set(A_860,B_861)
| ~ relstr_set_smaller(A_860,B_861,C_862)
| ~ element(C_862,the_carrier(A_860))
| ~ rel_str(A_860) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_6092,plain,
! [B_861,C_862] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_861,C_862))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_861,C_862))
| element('#skF_2'('#skF_8',B_861,C_862),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_861)
| ~ relstr_set_smaller('#skF_8',B_861,C_862)
| ~ element(C_862,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6088,c_6027]) ).
tff(c_6212,plain,
! [B_887,C_888] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_887,C_888))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_887,C_888))
| element('#skF_2'('#skF_8',B_887,C_888),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_887)
| ~ relstr_set_smaller('#skF_8',B_887,C_888)
| ~ element(C_888,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6092]) ).
tff(c_6337,plain,
! [B_905,C_906] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_905,C_906))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_905,C_906))
| related('#skF_8','#skF_10','#skF_1'('#skF_8',B_905,C_906))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_905,C_906))
| ex_sup_of_relstr_set('#skF_8',B_905)
| ~ relstr_set_smaller('#skF_8',B_905,C_906)
| ~ element(C_906,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6212,c_6027]) ).
tff(c_6340,plain,
! [C_58] :
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6247,c_6337]) ).
tff(c_6370,plain,
! [C_907] :
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_907))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_907))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_907))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_907)
| ~ element(C_907,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_6340]) ).
tff(c_6405,plain,
! [C_911] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_911))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_911))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_911)
| ~ element(C_911,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6235,c_6370]) ).
tff(c_6411,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6405,c_32]) ).
tff(c_6427,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_52,c_6411]) ).
tff(c_6428,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_6427]) ).
tff(c_6440,plain,
related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitLeft,[status(thm)],[c_6428]) ).
tff(c_6442,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ~ rel_str('#skF_8')
| ~ antisymmetric_relstr('#skF_8') ),
inference(resolution,[status(thm)],[c_6440,c_88]) ).
tff(c_6445,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_52,c_4179,c_6442]) ).
tff(c_6446,plain,
( ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_6169,c_6445]) ).
tff(c_6448,plain,
~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_6446]) ).
tff(c_6454,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_34,c_6448]) ).
tff(c_6461,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4179,c_2283,c_6454]) ).
tff(c_6462,plain,
relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_99,c_6461]) ).
tff(c_6095,plain,
! [B_861,C_862] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_861,C_862))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_861,C_862))
| element('#skF_2'('#skF_8',B_861,C_862),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_861)
| ~ relstr_set_smaller('#skF_8',B_861,C_862)
| ~ element(C_862,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6092]) ).
tff(c_6451,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6095,c_6448]) ).
tff(c_6457,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_6451]) ).
tff(c_6458,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_6457]) ).
tff(c_6490,plain,
related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(demodulation,[status(thm),theory(equality)],[c_6462,c_6458]) ).
tff(c_6494,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6490,c_32]) ).
tff(c_6508,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4179,c_2283,c_6494]) ).
tff(c_6510,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_6448,c_6508]) ).
tff(c_6511,plain,
~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitRight,[status(thm)],[c_6446]) ).
tff(c_6641,plain,
! [E_929] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_929)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_929)
| ~ element(E_929,the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6638,c_6511]) ).
tff(c_6691,plain,
! [E_929] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_929)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_929)
| ~ element(E_929,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_6641]) ).
tff(c_6737,plain,
related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(splitLeft,[status(thm)],[c_6691]) ).
tff(c_6739,plain,
! [E_64] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6737,c_20]) ).
tff(c_6751,plain,
! [E_64] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4179,c_2283,c_6739]) ).
tff(c_6774,plain,
! [E_930] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_930)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_930)
| ~ element(E_930,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_6751]) ).
tff(c_6777,plain,
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6774,c_6511]) ).
tff(c_6803,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_6777]) ).
tff(c_6835,plain,
! [E_934] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_934)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_934)
| ~ element(E_934,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_6691]) ).
tff(c_6838,plain,
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6835,c_6511]) ).
tff(c_6864,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_6838]) ).
tff(c_6866,plain,
~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_6428]) ).
tff(c_6414,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6405,c_26]) ).
tff(c_6431,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_4179,c_2283,c_52,c_6414]) ).
tff(c_6432,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_6431]) ).
tff(c_6871,plain,
relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_6866,c_6432]) ).
tff(c_6865,plain,
element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_6428]) ).
tff(c_6870,plain,
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_6865,c_6027]) ).
tff(c_6935,plain,
related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(demodulation,[status(thm),theory(equality)],[c_6871,c_6870]) ).
tff(c_6936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6866,c_6935]) ).
tff(c_6938,plain,
~ ex_sup_of_relstr_set('#skF_8','#skF_11'),
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_86,plain,
( element('#skF_10',the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_11') ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_6939,plain,
element('#skF_10',the_carrier('#skF_8')),
inference(negUnitSimplification,[status(thm)],[c_6938,c_86]) ).
tff(c_6937,plain,
relstr_set_smaller('#skF_8','#skF_9','#skF_10'),
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_7189,plain,
! [A_1004,B_1005,C_1006,E_1007] :
( element('#skF_1'(A_1004,B_1005,C_1006),the_carrier(A_1004))
| related(A_1004,'#skF_2'(A_1004,B_1005,C_1006),E_1007)
| ~ relstr_set_smaller(A_1004,B_1005,E_1007)
| ~ element(E_1007,the_carrier(A_1004))
| ex_sup_of_relstr_set(A_1004,B_1005)
| ~ relstr_set_smaller(A_1004,B_1005,C_1006)
| ~ element(C_1006,the_carrier(A_1004))
| ~ rel_str(A_1004) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_82,plain,
! [D_92] :
( related('#skF_8','#skF_10',D_92)
| ~ relstr_set_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_11') ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_6942,plain,
! [D_92] :
( related('#skF_8','#skF_10',D_92)
| ~ relstr_set_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_6938,c_82]) ).
tff(c_7197,plain,
! [B_1005,C_1006,E_1007] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_1005,C_1006))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_1005,C_1006))
| related('#skF_8','#skF_2'('#skF_8',B_1005,C_1006),E_1007)
| ~ relstr_set_smaller('#skF_8',B_1005,E_1007)
| ~ element(E_1007,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_1005)
| ~ relstr_set_smaller('#skF_8',B_1005,C_1006)
| ~ element(C_1006,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_7189,c_6942]) ).
tff(c_7469,plain,
! [B_1019,C_1020,E_1021] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_1019,C_1020))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_1019,C_1020))
| related('#skF_8','#skF_2'('#skF_8',B_1019,C_1020),E_1021)
| ~ relstr_set_smaller('#skF_8',B_1019,E_1021)
| ~ element(E_1021,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_1019)
| ~ relstr_set_smaller('#skF_8',B_1019,C_1020)
| ~ element(C_1020,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7197]) ).
tff(c_7472,plain,
! [C_58,E_1021,E_64] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_1021)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_1021)
| ~ element(E_1021,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_22,c_7469]) ).
tff(c_7482,plain,
! [C_58,E_1021,E_64] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_1021)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_1021)
| ~ element(E_1021,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7472]) ).
tff(c_7553,plain,
! [C_1032,E_1033,E_1034] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_1032))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_1032),E_1033)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_1033)
| ~ element(E_1033,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_1032),E_1034)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_1034)
| ~ element(E_1034,the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_1032)
| ~ element(C_1032,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_7482]) ).
tff(c_7004,plain,
! [A_959,B_960,C_961] :
( element('#skF_1'(A_959,B_960,C_961),the_carrier(A_959))
| ( '#skF_2'(A_959,B_960,C_961) != C_961 )
| ex_sup_of_relstr_set(A_959,B_960)
| ~ relstr_set_smaller(A_959,B_960,C_961)
| ~ element(C_961,the_carrier(A_959))
| ~ rel_str(A_959) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_7008,plain,
! [B_960,C_961] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_960,C_961))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_960,C_961))
| ( '#skF_2'('#skF_8',B_960,C_961) != C_961 )
| ex_sup_of_relstr_set('#skF_8',B_960)
| ~ relstr_set_smaller('#skF_8',B_960,C_961)
| ~ element(C_961,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_7004,c_6942]) ).
tff(c_7061,plain,
! [B_985,C_986] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_985,C_986))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_985,C_986))
| ( '#skF_2'('#skF_8',B_985,C_986) != C_986 )
| ex_sup_of_relstr_set('#skF_8',B_985)
| ~ relstr_set_smaller('#skF_8',B_985,C_986)
| ~ element(C_986,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7008]) ).
tff(c_7071,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_16,c_7061]) ).
tff(c_7078,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7071]) ).
tff(c_7080,plain,
! [C_987] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_987))
| ( '#skF_2'('#skF_8','#skF_9',C_987) != C_987 )
| ~ relstr_set_smaller('#skF_8','#skF_9',C_987)
| ~ element(C_987,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_7078]) ).
tff(c_7090,plain,
( ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' )
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7080,c_14]) ).
tff(c_7103,plain,
( ex_sup_of_relstr_set('#skF_8','#skF_9')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6939,c_6937,c_52,c_7090]) ).
tff(c_7104,plain,
'#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10',
inference(negUnitSimplification,[status(thm)],[c_99,c_7103]) ).
tff(c_7032,plain,
! [A_974,B_975,C_976] :
( element('#skF_1'(A_974,B_975,C_976),the_carrier(A_974))
| relstr_set_smaller(A_974,B_975,'#skF_2'(A_974,B_975,C_976))
| ex_sup_of_relstr_set(A_974,B_975)
| ~ relstr_set_smaller(A_974,B_975,C_976)
| ~ element(C_976,the_carrier(A_974))
| ~ rel_str(A_974) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_7036,plain,
! [B_975,C_976] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_975,C_976))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_975,C_976))
| relstr_set_smaller('#skF_8',B_975,'#skF_2'('#skF_8',B_975,C_976))
| ex_sup_of_relstr_set('#skF_8',B_975)
| ~ relstr_set_smaller('#skF_8',B_975,C_976)
| ~ element(C_976,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_7032,c_6942]) ).
tff(c_7125,plain,
! [B_995,C_996] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_995,C_996))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_995,C_996))
| relstr_set_smaller('#skF_8',B_995,'#skF_2'('#skF_8',B_995,C_996))
| ex_sup_of_relstr_set('#skF_8',B_995)
| ~ relstr_set_smaller('#skF_8',B_995,C_996)
| ~ element(C_996,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7036]) ).
tff(c_7129,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_28,c_7125]) ).
tff(c_7135,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7129]) ).
tff(c_7136,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_7135]) ).
tff(c_7040,plain,
! [A_977,B_978,C_979] :
( relstr_set_smaller(A_977,B_978,'#skF_1'(A_977,B_978,C_979))
| element('#skF_2'(A_977,B_978,C_979),the_carrier(A_977))
| ex_sup_of_relstr_set(A_977,B_978)
| ~ relstr_set_smaller(A_977,B_978,C_979)
| ~ element(C_979,the_carrier(A_977))
| ~ rel_str(A_977) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_7044,plain,
! [B_978,C_979] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_978,C_979))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_978,C_979))
| relstr_set_smaller('#skF_8',B_978,'#skF_1'('#skF_8',B_978,C_979))
| ex_sup_of_relstr_set('#skF_8',B_978)
| ~ relstr_set_smaller('#skF_8',B_978,C_979)
| ~ element(C_979,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_7040,c_6942]) ).
tff(c_7142,plain,
! [B_998,C_999] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_998,C_999))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_998,C_999))
| relstr_set_smaller('#skF_8',B_998,'#skF_1'('#skF_8',B_998,C_999))
| ex_sup_of_relstr_set('#skF_8',B_998)
| ~ relstr_set_smaller('#skF_8',B_998,C_999)
| ~ element(C_999,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7044]) ).
tff(c_7144,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7136,c_7142]) ).
tff(c_7148,plain,
! [C_58] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_58))
| relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_7144]) ).
tff(c_7018,plain,
! [A_965,B_966,C_967] :
( element('#skF_1'(A_965,B_966,C_967),the_carrier(A_965))
| element('#skF_2'(A_965,B_966,C_967),the_carrier(A_965))
| ex_sup_of_relstr_set(A_965,B_966)
| ~ relstr_set_smaller(A_965,B_966,C_967)
| ~ element(C_967,the_carrier(A_965))
| ~ rel_str(A_965) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_7022,plain,
! [B_966,C_967] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_966,C_967))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_966,C_967))
| element('#skF_2'('#skF_8',B_966,C_967),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_966)
| ~ relstr_set_smaller('#skF_8',B_966,C_967)
| ~ element(C_967,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_7018,c_6942]) ).
tff(c_7159,plain,
! [B_1001,C_1002] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_1001,C_1002))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_1001,C_1002))
| element('#skF_2'('#skF_8',B_1001,C_1002),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_1001)
| ~ relstr_set_smaller('#skF_8',B_1001,C_1002)
| ~ element(C_1002,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7022]) ).
tff(c_7235,plain,
! [B_1009,C_1010] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8',B_1009,C_1010))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_1009,C_1010))
| related('#skF_8','#skF_10','#skF_1'('#skF_8',B_1009,C_1010))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_1009,C_1010))
| ex_sup_of_relstr_set('#skF_8',B_1009)
| ~ relstr_set_smaller('#skF_8',B_1009,C_1010)
| ~ element(C_1010,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7159,c_6942]) ).
tff(c_7238,plain,
! [C_58] :
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_58))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7148,c_7235]) ).
tff(c_7260,plain,
! [C_1011] :
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_1011))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_1011))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_1011))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_1011)
| ~ element(C_1011,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_7238]) ).
tff(c_7267,plain,
! [C_1012] :
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9',C_1012))
| related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9',C_1012))
| ~ relstr_set_smaller('#skF_8','#skF_9',C_1012)
| ~ element(C_1012,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7136,c_7260]) ).
tff(c_7273,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7267,c_32]) ).
tff(c_7289,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_6939,c_6937,c_52,c_7273]) ).
tff(c_7290,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_7289]) ).
tff(c_7302,plain,
related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitLeft,[status(thm)],[c_7290]) ).
tff(c_7304,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ~ rel_str('#skF_8')
| ~ antisymmetric_relstr('#skF_8') ),
inference(resolution,[status(thm)],[c_7302,c_88]) ).
tff(c_7307,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_52,c_6939,c_7304]) ).
tff(c_7308,plain,
( ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_7104,c_7307]) ).
tff(c_7363,plain,
~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_7308]) ).
tff(c_7369,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_34,c_7363]) ).
tff(c_7376,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6939,c_6937,c_7369]) ).
tff(c_7377,plain,
relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_99,c_7376]) ).
tff(c_7025,plain,
! [B_966,C_967] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8',B_966,C_967))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_966,C_967))
| element('#skF_2'('#skF_8',B_966,C_967),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8',B_966)
| ~ relstr_set_smaller('#skF_8',B_966,C_967)
| ~ element(C_967,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7022]) ).
tff(c_7366,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7025,c_7363]) ).
tff(c_7372,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_6939,c_6937,c_7366]) ).
tff(c_7373,plain,
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_7372]) ).
tff(c_7399,plain,
related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(demodulation,[status(thm),theory(equality)],[c_7377,c_7373]) ).
tff(c_7403,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_7399,c_32]) ).
tff(c_7417,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6939,c_6937,c_7403]) ).
tff(c_7419,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_7363,c_7417]) ).
tff(c_7420,plain,
~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitRight,[status(thm)],[c_7308]) ).
tff(c_7556,plain,
! [E_1034] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_1034)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_1034)
| ~ element(E_1034,the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7553,c_7420]) ).
tff(c_7606,plain,
! [E_1034] :
( related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_1034)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_1034)
| ~ element(E_1034,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_6939,c_6937,c_7556]) ).
tff(c_7669,plain,
related('#skF_8','#skF_10','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(splitLeft,[status(thm)],[c_7606]) ).
tff(c_7671,plain,
! [E_64] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_7669,c_20]) ).
tff(c_7683,plain,
! [E_64] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_64)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_sup_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6939,c_6937,c_7671]) ).
tff(c_7706,plain,
! [E_1038] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_1038)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_1038)
| ~ element(E_1038,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_7683]) ).
tff(c_7709,plain,
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7706,c_7420]) ).
tff(c_7735,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6939,c_6937,c_7709]) ).
tff(c_7750,plain,
! [E_1039] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_1039)
| ~ relstr_set_smaller('#skF_8','#skF_9',E_1039)
| ~ element(E_1039,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_7606]) ).
tff(c_7753,plain,
( ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7750,c_7420]) ).
tff(c_7779,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6939,c_6937,c_7753]) ).
tff(c_7781,plain,
~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_7290]) ).
tff(c_7276,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7267,c_26]) ).
tff(c_7293,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_sup_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_6939,c_6937,c_52,c_7276]) ).
tff(c_7294,plain,
( relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_7293]) ).
tff(c_7786,plain,
relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_7781,c_7294]) ).
tff(c_7780,plain,
element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_7290]) ).
tff(c_7785,plain,
( related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_set_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_7780,c_6942]) ).
tff(c_7897,plain,
related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(demodulation,[status(thm),theory(equality)],[c_7786,c_7785]) ).
tff(c_7898,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7781,c_7897]) ).
tff(c_7899,plain,
ex_sup_of_relstr_set('#skF_8','#skF_11'),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_7900,plain,
ex_sup_of_relstr_set('#skF_8','#skF_9'),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_64,plain,
! [C_96] :
( ~ ex_sup_of_relstr_set('#skF_8','#skF_9')
| relstr_set_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_7908,plain,
! [C_96] :
( relstr_set_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_7900,c_64]) ).
tff(c_7916,plain,
! [A_1051,B_1052,D_1053] :
( related(A_1051,'#skF_3'(A_1051,B_1052),D_1053)
| ~ relstr_set_smaller(A_1051,B_1052,D_1053)
| ~ element(D_1053,the_carrier(A_1051))
| ~ ex_sup_of_relstr_set(A_1051,B_1052)
| ~ rel_str(A_1051) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_56,plain,
! [C_96] :
( ~ ex_sup_of_relstr_set('#skF_8','#skF_9')
| ~ related('#skF_8',C_96,'#skF_12'(C_96))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_7914,plain,
! [C_96] :
( ~ related('#skF_8',C_96,'#skF_12'(C_96))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_7900,c_56]) ).
tff(c_7920,plain,
! [B_1052] :
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_1052))
| ~ element('#skF_3'('#skF_8',B_1052),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8',B_1052,'#skF_12'('#skF_3'('#skF_8',B_1052)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_1052)),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8',B_1052)
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_7916,c_7914]) ).
tff(c_7946,plain,
! [B_1081] :
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_1081))
| ~ element('#skF_3'('#skF_8',B_1081),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8',B_1081,'#skF_12'('#skF_3'('#skF_8',B_1081)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_1081)),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8',B_1081) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7920]) ).
tff(c_7949,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7908,c_7946]) ).
tff(c_7952,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_7899,c_7949]) ).
tff(c_7953,plain,
~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_7952]) ).
tff(c_7956,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6,c_7953]) ).
tff(c_7960,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7899,c_7956]) ).
tff(c_7962,plain,
element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_7952]) ).
tff(c_72,plain,
! [C_96] :
( ~ ex_sup_of_relstr_set('#skF_8','#skF_9')
| element('#skF_12'(C_96),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_7911,plain,
! [C_96] :
( element('#skF_12'(C_96),the_carrier('#skF_8'))
| ~ relstr_set_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_7900,c_72]) ).
tff(c_7961,plain,
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_7952]) ).
tff(c_7963,plain,
~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_7961]) ).
tff(c_7966,plain,
( ~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11'))
| ~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7911,c_7963]) ).
tff(c_7969,plain,
~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(demodulation,[status(thm),theory(equality)],[c_7962,c_7966]) ).
tff(c_7973,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_7969]) ).
tff(c_7977,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7899,c_7973]) ).
tff(c_7978,plain,
~ relstr_set_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(splitRight,[status(thm)],[c_7961]) ).
tff(c_7982,plain,
( ~ ex_sup_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_7978]) ).
tff(c_7986,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7899,c_7982]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU356+1 : TPTP v9.0.0. Released v3.3.0.
% 0.07/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 8 22:56:32 EDT 2025
% 0.14/0.36 % CPUTime :
% 9.12/3.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.46/3.34
% 9.46/3.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------