TSTP Solution File: SEU357+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU357+1 : TPTP v8.1.2. 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 : n007.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 : Tue Aug 22 10:58:31 EDT 2023
% Result : Theorem 9.63s 3.45s
% Output : CNFRefutation 10.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 23
% Syntax : Number of formulae : 837 ( 202 unt; 20 typ; 0 def)
% Number of atoms : 3224 ( 95 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 4293 (1886 ~;2382 |; 9 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 14 >; 13 *; 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 : 718 (; 716 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ relstr_element_smaller > related > ex_inf_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(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('#skF_8',type,
'#skF_8': $i ).
tff(rel_str,type,
rel_str: $i > $o ).
tff(relstr_element_smaller,type,
relstr_element_smaller: ( $i * $i * $i ) > $o ).
tff(ex_inf_of_relstr_set,type,
ex_inf_of_relstr_set: ( $i * $i ) > $o ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff(f_89,negated_conjecture,
~ ! [A] :
( ( antisymmetric_relstr(A)
& rel_str(A) )
=> ! [B] :
( ex_inf_of_relstr_set(A,B)
<=> ? [C] :
( element(C,the_carrier(A))
& relstr_element_smaller(A,B,C)
& ! [D] :
( element(D,the_carrier(A))
=> ( relstr_element_smaller(A,B,D)
=> related(A,D,C) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_yellow_0) ).
tff(f_57,axiom,
! [A] :
( rel_str(A)
=> ! [B] :
( ex_inf_of_relstr_set(A,B)
<=> ? [C] :
( element(C,the_carrier(A))
& relstr_element_smaller(A,B,C)
& ! [D] :
( element(D,the_carrier(A))
=> ( relstr_element_smaller(A,B,D)
=> related(A,D,C) ) )
& ! [D] :
( element(D,the_carrier(A))
=> ( ( relstr_element_smaller(A,B,D)
& ! [E] :
( element(E,the_carrier(A))
=> ( relstr_element_smaller(A,B,E)
=> related(A,E,D) ) ) )
=> ( D = C ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_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_80,plain,
( ~ ex_inf_of_relstr_set('#skF_8','#skF_9')
| ex_inf_of_relstr_set('#skF_8','#skF_11') ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_99,plain,
~ ex_inf_of_relstr_set('#skF_8','#skF_9'),
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_84,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ex_inf_of_relstr_set('#skF_8','#skF_11') ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_100,plain,
ex_inf_of_relstr_set('#skF_8','#skF_11'),
inference(splitLeft,[status(thm)],[c_84]) ).
tff(c_4,plain,
! [A_1,B_39] :
( relstr_element_smaller(A_1,B_39,'#skF_3'(A_1,B_39))
| ~ ex_inf_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_inf_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_element_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_element_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_2508,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_element_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_element_smaller('#skF_8','#skF_9','#skF_10')
| relstr_element_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_element_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_element_smaller('#skF_8','#skF_9','#skF_10'),
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_22,plain,
! [A_1,B_39,C_58,E_64] :
( relstr_element_smaller(A_1,B_39,'#skF_1'(A_1,B_39,C_58))
| related(A_1,E_64,'#skF_2'(A_1,B_39,C_58))
| ~ relstr_element_smaller(A_1,B_39,E_64)
| ~ element(E_64,the_carrier(A_1))
| ex_inf_of_relstr_set(A_1,B_39)
| ~ relstr_element_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_1421,plain,
! [A_271,B_272,C_273,E_274] :
( element('#skF_1'(A_271,B_272,C_273),the_carrier(A_271))
| related(A_271,E_274,'#skF_2'(A_271,B_272,C_273))
| ~ relstr_element_smaller(A_271,B_272,E_274)
| ~ element(E_274,the_carrier(A_271))
| ex_inf_of_relstr_set(A_271,B_272)
| ~ relstr_element_smaller(A_271,B_272,C_273)
| ~ element(C_273,the_carrier(A_271))
| ~ rel_str(A_271) ),
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,E_171,'#skF_2'(A_168,B_169,C_170))
| ~ relstr_element_smaller(A_168,B_169,E_171)
| ~ element(E_171,the_carrier(A_168))
| ex_inf_of_relstr_set(A_168,B_169)
| ~ relstr_element_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',D_92,'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8'))
| relstr_element_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_element_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_element_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_element_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,D_113,B_114] :
( related(A_112,D_113,'#skF_3'(A_112,B_114))
| ~ relstr_element_smaller(A_112,B_114,D_113)
| ~ element(D_113,the_carrier(A_112))
| ~ ex_inf_of_relstr_set(A_112,B_114)
| ~ rel_str(A_112) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_60,plain,
! [C_96] :
( relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ related('#skF_8','#skF_12'(C_96),C_96)
| ~ relstr_element_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','#skF_12'(C_96),C_96)
| ~ relstr_element_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_114] :
( ~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_114))
| ~ element('#skF_3'('#skF_8',B_114),the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8',B_114,'#skF_12'('#skF_3'('#skF_8',B_114)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_114)),the_carrier('#skF_8'))
| ~ ex_inf_of_relstr_set('#skF_8',B_114)
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_112,c_105]) ).
tff(c_142,plain,
! [B_132] :
( ~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_132))
| ~ element('#skF_3'('#skF_8',B_132),the_carrier('#skF_8'))
| ~ relstr_element_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_inf_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_inf_of_relstr_set('#skF_8','#skF_11')
| ~ relstr_element_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_element_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_inf_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',D_92,'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8'))
| element('#skF_12'(C_96),the_carrier('#skF_8'))
| ~ relstr_element_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_element_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_element_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_element_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_element_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_inf_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_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(splitRight,[status(thm)],[c_157]) ).
tff(c_178,plain,
( ~ ex_inf_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',D_92,'#skF_10')
| ~ relstr_element_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_1'('#skF_8',B_169,C_170),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_169,C_170))
| related('#skF_8',E_171,'#skF_2'('#skF_8',B_169,C_170))
| ~ relstr_element_smaller('#skF_8',B_169,E_171)
| ~ element(E_171,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_169)
| ~ relstr_element_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_1'('#skF_8',B_199,C_200),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_199,C_200))
| related('#skF_8',E_201,'#skF_2'('#skF_8',B_199,C_200))
| ~ relstr_element_smaller('#skF_8',B_199,E_201)
| ~ element(E_201,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_199)
| ~ relstr_element_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_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_201,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_201)
| ~ element(E_201,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_201,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_201)
| ~ element(E_201,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_735,plain,
! [C_58,E_201,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_201,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_201)
| ~ element(E_201,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_734]) ).
tff(c_968,plain,
! [C_216,E_217] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_216),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_217)
| ~ element(E_217,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_216)
| ~ element(C_216,the_carrier('#skF_8'))
| related('#skF_8',E_217,'#skF_2'('#skF_8','#skF_9',C_216)) ),
inference(factorization,[status(thm),theory(equality)],[c_735]) ).
tff(c_20,plain,
! [A_1,B_39,C_58,E_64] :
( ~ related(A_1,'#skF_1'(A_1,B_39,C_58),C_58)
| related(A_1,E_64,'#skF_2'(A_1,B_39,C_58))
| ~ relstr_element_smaller(A_1,B_39,E_64)
| ~ element(E_64,the_carrier(A_1))
| ex_inf_of_relstr_set(A_1,B_39)
| ~ relstr_element_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_971,plain,
! [E_64,E_217] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_217)
| ~ element(E_217,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| related('#skF_8',E_217,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_968,c_20]) ).
tff(c_1013,plain,
! [E_64,E_217] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_217)
| ~ element(E_217,the_carrier('#skF_8'))
| related('#skF_8',E_217,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_52,c_971]) ).
tff(c_1014,plain,
! [E_64,E_217] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_217)
| ~ element(E_217,the_carrier('#skF_8'))
| related('#skF_8',E_217,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_1013]) ).
tff(c_1060,plain,
! [E_218] :
( ~ relstr_element_smaller('#skF_8','#skF_9',E_218)
| ~ element(E_218,the_carrier('#skF_8'))
| related('#skF_8',E_218,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(splitLeft,[status(thm)],[c_1014]) ).
tff(c_16,plain,
! [A_1,B_39,C_58] :
( relstr_element_smaller(A_1,B_39,'#skF_1'(A_1,B_39,C_58))
| ( '#skF_2'(A_1,B_39,C_58) != C_58 )
| ex_inf_of_relstr_set(A_1,B_39)
| ~ relstr_element_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_inf_of_relstr_set(A_138,B_139)
| ~ relstr_element_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_1'('#skF_8',B_139,C_140),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_139,C_140))
| ( '#skF_2'('#skF_8',B_139,C_140) != C_140 )
| ex_inf_of_relstr_set('#skF_8',B_139)
| ~ relstr_element_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_1'('#skF_8',B_165,C_166),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_165,C_166))
| ( '#skF_2'('#skF_8',B_165,C_166) != C_166 )
| ex_inf_of_relstr_set('#skF_8',B_165)
| ~ relstr_element_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_1'('#skF_8','#skF_9',C_58),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_1'('#skF_8','#skF_9',C_58),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_1'('#skF_8','#skF_9',C_167),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_167) != C_167 )
| ~ relstr_element_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,B_39,C_58] :
( ~ related(A_1,'#skF_1'(A_1,B_39,C_58),C_58)
| ( '#skF_2'(A_1,B_39,C_58) != C_58 )
| ex_inf_of_relstr_set(A_1,B_39)
| ~ relstr_element_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_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' )
| ~ relstr_element_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_inf_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_element_smaller(A_1,B_39,'#skF_1'(A_1,B_39,C_58))
| relstr_element_smaller(A_1,B_39,'#skF_2'(A_1,B_39,C_58))
| ex_inf_of_relstr_set(A_1,B_39)
| ~ relstr_element_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_element_smaller(A_147,B_148,'#skF_2'(A_147,B_148,C_149))
| ex_inf_of_relstr_set(A_147,B_148)
| ~ relstr_element_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_1'('#skF_8',B_148,C_149),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_148,C_149))
| relstr_element_smaller('#skF_8',B_148,'#skF_2'('#skF_8',B_148,C_149))
| ex_inf_of_relstr_set('#skF_8',B_148)
| ~ relstr_element_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_1'('#skF_8',B_177,C_178),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_177,C_178))
| relstr_element_smaller('#skF_8',B_177,'#skF_2'('#skF_8',B_177,C_178))
| ex_inf_of_relstr_set('#skF_8',B_177)
| ~ relstr_element_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_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_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_1'('#skF_8','#skF_9',C_179),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_179))
| ~ relstr_element_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_element_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_inf_of_relstr_set(A_157,B_158)
| ~ relstr_element_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_2'('#skF_8',B_158,C_159),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_158,C_159))
| relstr_element_smaller('#skF_8',B_158,'#skF_1'('#skF_8',B_158,C_159))
| ex_inf_of_relstr_set('#skF_8',B_158)
| ~ relstr_element_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_2'('#skF_8',B_158,C_159),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_158,C_159))
| relstr_element_smaller('#skF_8',B_158,'#skF_1'('#skF_8',B_158,C_159))
| ex_inf_of_relstr_set('#skF_8',B_158)
| ~ relstr_element_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_2'('#skF_8','#skF_9',C_179),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_179))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_179),'#skF_10')
| ~ relstr_element_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_2'('#skF_8','#skF_9',C_179),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_179))
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_179),'#skF_10')
| ~ relstr_element_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_inf_of_relstr_set(A_154,B_155)
| ~ relstr_element_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_1'('#skF_8',B_155,C_156),'#skF_10')
| ~ relstr_element_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_inf_of_relstr_set('#skF_8',B_155)
| ~ relstr_element_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_1'('#skF_8',B_181,C_182),'#skF_10')
| ~ relstr_element_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_inf_of_relstr_set('#skF_8',B_181)
| ~ relstr_element_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_2'('#skF_8',B_189,C_190),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_189,C_190))
| related('#skF_8','#skF_1'('#skF_8',B_189,C_190),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_189,C_190))
| ex_inf_of_relstr_set('#skF_8',B_189)
| ~ relstr_element_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_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_179))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_179),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_179),'#skF_10')
| ~ relstr_element_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_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_191))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_191),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_191),'#skF_10')
| ~ relstr_element_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_2'('#skF_8','#skF_9',C_192),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_192),'#skF_10')
| ~ relstr_element_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,B_39,C_58] :
( ~ related(A_1,'#skF_1'(A_1,B_39,C_58),C_58)
| element('#skF_2'(A_1,B_39,C_58),the_carrier(A_1))
| ex_inf_of_relstr_set(A_1,B_39)
| ~ relstr_element_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_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_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_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#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_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(negUnitSimplification,[status(thm)],[c_99,c_535]) ).
tff(c_548,plain,
related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#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_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ~ element('#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_10','#skF_2'('#skF_8','#skF_9','#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_10','#skF_2'('#skF_8','#skF_9','#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_element_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_inf_of_relstr_set(A_1,B_39)
| ~ relstr_element_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_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_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_element_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_1'('#skF_8',B_155,C_156),'#skF_10')
| ~ relstr_element_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_inf_of_relstr_set('#skF_8',B_155)
| ~ relstr_element_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_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_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_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_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_1'('#skF_8','#skF_9','#skF_10'),'#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_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_inf_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_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_554]) ).
tff(c_1063,plain,
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_1060,c_673]) ).
tff(c_1093,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_1063]) ).
tff(c_1101,plain,
! [E_219] :
( related('#skF_8',E_219,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_219)
| ~ element(E_219,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_1014]) ).
tff(c_1104,plain,
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_1101,c_673]) ).
tff(c_1134,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_1104]) ).
tff(c_1136,plain,
~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitRight,[status(thm)],[c_536]) ).
tff(c_26,plain,
! [A_1,B_39,C_58] :
( ~ related(A_1,'#skF_1'(A_1,B_39,C_58),C_58)
| relstr_element_smaller(A_1,B_39,'#skF_2'(A_1,B_39,C_58))
| ex_inf_of_relstr_set(A_1,B_39)
| ~ relstr_element_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_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_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_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_52,c_522]) ).
tff(c_540,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(negUnitSimplification,[status(thm)],[c_99,c_539]) ).
tff(c_1201,plain,
relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_1136,c_540]) ).
tff(c_1135,plain,
element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_536]) ).
tff(c_1140,plain,
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_1135,c_183]) ).
tff(c_1259,plain,
related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_1201,c_1140]) ).
tff(c_1260,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1136,c_1259]) ).
tff(c_1261,plain,
! [D_92] :
( related('#skF_8',D_92,'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_1425,plain,
! [B_272,C_273,E_274] :
( related('#skF_8','#skF_1'('#skF_8',B_272,C_273),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_272,C_273))
| related('#skF_8',E_274,'#skF_2'('#skF_8',B_272,C_273))
| ~ relstr_element_smaller('#skF_8',B_272,E_274)
| ~ element(E_274,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_272)
| ~ relstr_element_smaller('#skF_8',B_272,C_273)
| ~ element(C_273,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_1421,c_1261]) ).
tff(c_1682,plain,
! [B_300,C_301,E_302] :
( related('#skF_8','#skF_1'('#skF_8',B_300,C_301),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_300,C_301))
| related('#skF_8',E_302,'#skF_2'('#skF_8',B_300,C_301))
| ~ relstr_element_smaller('#skF_8',B_300,E_302)
| ~ element(E_302,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_300)
| ~ relstr_element_smaller('#skF_8',B_300,C_301)
| ~ element(C_301,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1425]) ).
tff(c_1685,plain,
! [C_58,E_302,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_302,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_302)
| ~ element(E_302,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_1682]) ).
tff(c_1695,plain,
! [C_58,E_302,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_302,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_302)
| ~ element(E_302,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1685]) ).
tff(c_1696,plain,
! [C_58,E_302,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_302,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_302)
| ~ element(E_302,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_1695]) ).
tff(c_2076,plain,
! [C_322,E_323] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_322),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_323)
| ~ element(E_323,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_322)
| ~ element(C_322,the_carrier('#skF_8'))
| related('#skF_8',E_323,'#skF_2'('#skF_8','#skF_9',C_322)) ),
inference(factorization,[status(thm),theory(equality)],[c_1696]) ).
tff(c_2079,plain,
! [E_64,E_323] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_323)
| ~ element(E_323,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| related('#skF_8',E_323,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_2076,c_20]) ).
tff(c_2121,plain,
! [E_64,E_323] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_323)
| ~ element(E_323,the_carrier('#skF_8'))
| related('#skF_8',E_323,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_52,c_2079]) ).
tff(c_2122,plain,
! [E_64,E_323] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_323)
| ~ element(E_323,the_carrier('#skF_8'))
| related('#skF_8',E_323,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_2121]) ).
tff(c_2192,plain,
! [E_327] :
( ~ relstr_element_smaller('#skF_8','#skF_9',E_327)
| ~ element(E_327,the_carrier('#skF_8'))
| related('#skF_8',E_327,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(splitLeft,[status(thm)],[c_2122]) ).
tff(c_1316,plain,
! [A_241,B_242,C_243] :
( element('#skF_1'(A_241,B_242,C_243),the_carrier(A_241))
| ( '#skF_2'(A_241,B_242,C_243) != C_243 )
| ex_inf_of_relstr_set(A_241,B_242)
| ~ relstr_element_smaller(A_241,B_242,C_243)
| ~ element(C_243,the_carrier(A_241))
| ~ rel_str(A_241) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_1320,plain,
! [B_242,C_243] :
( related('#skF_8','#skF_1'('#skF_8',B_242,C_243),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_242,C_243))
| ( '#skF_2'('#skF_8',B_242,C_243) != C_243 )
| ex_inf_of_relstr_set('#skF_8',B_242)
| ~ relstr_element_smaller('#skF_8',B_242,C_243)
| ~ element(C_243,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_1316,c_1261]) ).
tff(c_1374,plain,
! [B_268,C_269] :
( related('#skF_8','#skF_1'('#skF_8',B_268,C_269),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_268,C_269))
| ( '#skF_2'('#skF_8',B_268,C_269) != C_269 )
| ex_inf_of_relstr_set('#skF_8',B_268)
| ~ relstr_element_smaller('#skF_8',B_268,C_269)
| ~ element(C_269,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1320]) ).
tff(c_1384,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_1374]) ).
tff(c_1391,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1384]) ).
tff(c_1393,plain,
! [C_270] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_270),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_270) != C_270 )
| ~ relstr_element_smaller('#skF_8','#skF_9',C_270)
| ~ element(C_270,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_1391]) ).
tff(c_1403,plain,
( ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' )
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_1393,c_14]) ).
tff(c_1416,plain,
( ex_inf_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_1403]) ).
tff(c_1417,plain,
'#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10',
inference(negUnitSimplification,[status(thm)],[c_99,c_1416]) ).
tff(c_1343,plain,
! [A_253,B_254,C_255] :
( element('#skF_1'(A_253,B_254,C_255),the_carrier(A_253))
| relstr_element_smaller(A_253,B_254,'#skF_2'(A_253,B_254,C_255))
| ex_inf_of_relstr_set(A_253,B_254)
| ~ relstr_element_smaller(A_253,B_254,C_255)
| ~ element(C_255,the_carrier(A_253))
| ~ rel_str(A_253) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_1347,plain,
! [B_254,C_255] :
( related('#skF_8','#skF_1'('#skF_8',B_254,C_255),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_254,C_255))
| relstr_element_smaller('#skF_8',B_254,'#skF_2'('#skF_8',B_254,C_255))
| ex_inf_of_relstr_set('#skF_8',B_254)
| ~ relstr_element_smaller('#skF_8',B_254,C_255)
| ~ element(C_255,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_1343,c_1261]) ).
tff(c_1473,plain,
! [B_282,C_283] :
( related('#skF_8','#skF_1'('#skF_8',B_282,C_283),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_282,C_283))
| relstr_element_smaller('#skF_8',B_282,'#skF_2'('#skF_8',B_282,C_283))
| ex_inf_of_relstr_set('#skF_8',B_282)
| ~ relstr_element_smaller('#skF_8',B_282,C_283)
| ~ element(C_283,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1347]) ).
tff(c_1476,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_1473]) ).
tff(c_1483,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1476]) ).
tff(c_1484,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_1483]) ).
tff(c_1489,plain,
! [C_284] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_284),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_284))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_284)
| ~ element(C_284,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_1483]) ).
tff(c_1330,plain,
! [A_247,B_248,C_249] :
( relstr_element_smaller(A_247,B_248,'#skF_1'(A_247,B_248,C_249))
| element('#skF_2'(A_247,B_248,C_249),the_carrier(A_247))
| ex_inf_of_relstr_set(A_247,B_248)
| ~ relstr_element_smaller(A_247,B_248,C_249)
| ~ element(C_249,the_carrier(A_247))
| ~ rel_str(A_247) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_1334,plain,
! [B_248,C_249] :
( related('#skF_8','#skF_2'('#skF_8',B_248,C_249),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_248,C_249))
| relstr_element_smaller('#skF_8',B_248,'#skF_1'('#skF_8',B_248,C_249))
| ex_inf_of_relstr_set('#skF_8',B_248)
| ~ relstr_element_smaller('#skF_8',B_248,C_249)
| ~ element(C_249,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_1330,c_1261]) ).
tff(c_1337,plain,
! [B_248,C_249] :
( related('#skF_8','#skF_2'('#skF_8',B_248,C_249),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_248,C_249))
| relstr_element_smaller('#skF_8',B_248,'#skF_1'('#skF_8',B_248,C_249))
| ex_inf_of_relstr_set('#skF_8',B_248)
| ~ relstr_element_smaller('#skF_8',B_248,C_249)
| ~ element(C_249,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1334]) ).
tff(c_1491,plain,
! [C_284] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9',C_284),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_284))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_284),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_284)
| ~ element(C_284,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_1489,c_1337]) ).
tff(c_1494,plain,
! [C_284] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9',C_284),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_284))
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_284),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_284)
| ~ element(C_284,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_1491]) ).
tff(c_1358,plain,
! [A_263,B_264,C_265] :
( element('#skF_1'(A_263,B_264,C_265),the_carrier(A_263))
| element('#skF_2'(A_263,B_264,C_265),the_carrier(A_263))
| ex_inf_of_relstr_set(A_263,B_264)
| ~ relstr_element_smaller(A_263,B_264,C_265)
| ~ element(C_265,the_carrier(A_263))
| ~ rel_str(A_263) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_1362,plain,
! [B_264,C_265] :
( related('#skF_8','#skF_1'('#skF_8',B_264,C_265),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_264,C_265))
| element('#skF_2'('#skF_8',B_264,C_265),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_264)
| ~ relstr_element_smaller('#skF_8',B_264,C_265)
| ~ element(C_265,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_1358,c_1261]) ).
tff(c_1468,plain,
! [B_280,C_281] :
( related('#skF_8','#skF_1'('#skF_8',B_280,C_281),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_280,C_281))
| element('#skF_2'('#skF_8',B_280,C_281),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_280)
| ~ relstr_element_smaller('#skF_8',B_280,C_281)
| ~ element(C_281,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1362]) ).
tff(c_1607,plain,
! [B_296,C_297] :
( related('#skF_8','#skF_2'('#skF_8',B_296,C_297),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_296,C_297))
| related('#skF_8','#skF_1'('#skF_8',B_296,C_297),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_296,C_297))
| ex_inf_of_relstr_set('#skF_8',B_296)
| ~ relstr_element_smaller('#skF_8',B_296,C_297)
| ~ element(C_297,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_1468,c_1261]) ).
tff(c_1610,plain,
! [C_284] :
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_284))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_284),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_284),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_284)
| ~ element(C_284,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_1494,c_1607]) ).
tff(c_1640,plain,
! [C_298] :
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_298))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_298),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_298),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_298)
| ~ element(C_298,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_1610]) ).
tff(c_1647,plain,
! [C_299] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9',C_299),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_299),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_299)
| ~ element(C_299,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_1484,c_1640]) ).
tff(c_1653,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_1647,c_26]) ).
tff(c_1669,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_52,c_1653]) ).
tff(c_1670,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(negUnitSimplification,[status(thm)],[c_99,c_1669]) ).
tff(c_1705,plain,
related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitLeft,[status(thm)],[c_1670]) ).
tff(c_1707,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8')
| ~ antisymmetric_relstr('#skF_8') ),
inference(resolution,[status(thm)],[c_1705,c_88]) ).
tff(c_1710,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#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_1707]) ).
tff(c_1711,plain,
( ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_1417,c_1710]) ).
tff(c_1714,plain,
~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_1711]) ).
tff(c_1720,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_1714]) ).
tff(c_1727,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_108,c_107,c_1720]) ).
tff(c_1728,plain,
relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_99,c_1727]) ).
tff(c_1365,plain,
! [B_264,C_265] :
( related('#skF_8','#skF_1'('#skF_8',B_264,C_265),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_264,C_265))
| element('#skF_2'('#skF_8',B_264,C_265),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_264)
| ~ relstr_element_smaller('#skF_8',B_264,C_265)
| ~ element(C_265,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_1362]) ).
tff(c_1717,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_1365,c_1714]) ).
tff(c_1723,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_1717]) ).
tff(c_1724,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_1723]) ).
tff(c_1756,plain,
related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_1728,c_1724]) ).
tff(c_1762,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_1756,c_32]) ).
tff(c_1778,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_108,c_107,c_1762]) ).
tff(c_1780,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_1714,c_1778]) ).
tff(c_1781,plain,
~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_1711]) ).
tff(c_2195,plain,
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2192,c_1781]) ).
tff(c_2225,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_2195]) ).
tff(c_2227,plain,
! [E_328] :
( related('#skF_8',E_328,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_328)
| ~ element(E_328,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_2122]) ).
tff(c_2230,plain,
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2227,c_1781]) ).
tff(c_2260,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_2230]) ).
tff(c_2262,plain,
~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitRight,[status(thm)],[c_1670]) ).
tff(c_2261,plain,
relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_1670]) ).
tff(c_1656,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_1647,c_32]) ).
tff(c_1673,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_107,c_52,c_1656]) ).
tff(c_1674,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(negUnitSimplification,[status(thm)],[c_99,c_1673]) ).
tff(c_2263,plain,
related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitLeft,[status(thm)],[c_1674]) ).
tff(c_2277,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2263,c_2262]) ).
tff(c_2278,plain,
element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_1674]) ).
tff(c_2294,plain,
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_2278,c_1261]) ).
tff(c_2297,plain,
related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_2261,c_2294]) ).
tff(c_2299,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2262,c_2297]) ).
tff(c_2301,plain,
~ element('#skF_10',the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_2305,plain,
! [C_96] :
( relstr_element_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_element_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_2301,c_70]) ).
tff(c_2307,plain,
! [A_334,D_335,B_336] :
( related(A_334,D_335,'#skF_3'(A_334,B_336))
| ~ relstr_element_smaller(A_334,B_336,D_335)
| ~ element(D_335,the_carrier(A_334))
| ~ ex_inf_of_relstr_set(A_334,B_336)
| ~ rel_str(A_334) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2311,plain,
! [B_336] :
( ~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_336))
| ~ element('#skF_3'('#skF_8',B_336),the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8',B_336,'#skF_12'('#skF_3'('#skF_8',B_336)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_336)),the_carrier('#skF_8'))
| ~ ex_inf_of_relstr_set('#skF_8',B_336)
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_2307,c_105]) ).
tff(c_2349,plain,
! [B_376] :
( ~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_376))
| ~ element('#skF_3'('#skF_8',B_376),the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8',B_376,'#skF_12'('#skF_3'('#skF_8',B_376)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_376)),the_carrier('#skF_8'))
| ~ ex_inf_of_relstr_set('#skF_8',B_376) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2311]) ).
tff(c_2352,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ relstr_element_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_2305,c_2349]) ).
tff(c_2355,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ relstr_element_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_2352]) ).
tff(c_2356,plain,
~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_2355]) ).
tff(c_2359,plain,
( ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6,c_2356]) ).
tff(c_2363,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_2359]) ).
tff(c_2365,plain,
element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_2355]) ).
tff(c_2300,plain,
! [C_96] :
( element('#skF_12'(C_96),the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_2364,plain,
( ~ relstr_element_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_2355]) ).
tff(c_2366,plain,
~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_2364]) ).
tff(c_2369,plain,
( ~ relstr_element_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_2300,c_2366]) ).
tff(c_2372,plain,
~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(demodulation,[status(thm),theory(equality)],[c_2365,c_2369]) ).
tff(c_2404,plain,
( ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_2372]) ).
tff(c_2408,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_2404]) ).
tff(c_2409,plain,
~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(splitRight,[status(thm)],[c_2364]) ).
tff(c_2413,plain,
( ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_2409]) ).
tff(c_2417,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_2413]) ).
tff(c_2418,plain,
! [C_96] :
( relstr_element_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_element_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_2423,plain,
! [A_383,D_384,B_385] :
( related(A_383,D_384,'#skF_3'(A_383,B_385))
| ~ relstr_element_smaller(A_383,B_385,D_384)
| ~ element(D_384,the_carrier(A_383))
| ~ ex_inf_of_relstr_set(A_383,B_385)
| ~ rel_str(A_383) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2427,plain,
! [B_385] :
( ~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_385))
| ~ element('#skF_3'('#skF_8',B_385),the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8',B_385,'#skF_12'('#skF_3'('#skF_8',B_385)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_385)),the_carrier('#skF_8'))
| ~ ex_inf_of_relstr_set('#skF_8',B_385)
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_2423,c_105]) ).
tff(c_2459,plain,
! [B_419] :
( ~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_419))
| ~ element('#skF_3'('#skF_8',B_419),the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8',B_419,'#skF_12'('#skF_3'('#skF_8',B_419)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_419)),the_carrier('#skF_8'))
| ~ ex_inf_of_relstr_set('#skF_8',B_419) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2427]) ).
tff(c_2462,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ relstr_element_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_2418,c_2459]) ).
tff(c_2465,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ relstr_element_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_2462]) ).
tff(c_2466,plain,
~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_2465]) ).
tff(c_2469,plain,
( ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6,c_2466]) ).
tff(c_2473,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_2469]) ).
tff(c_2475,plain,
element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_2465]) ).
tff(c_2419,plain,
~ relstr_element_smaller('#skF_8','#skF_9','#skF_10'),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_76,plain,
! [C_96] :
( relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| element('#skF_12'(C_96),the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_2421,plain,
! [C_96] :
( element('#skF_12'(C_96),the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_2419,c_76]) ).
tff(c_2474,plain,
( ~ relstr_element_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_2465]) ).
tff(c_2476,plain,
~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_2474]) ).
tff(c_2479,plain,
( ~ relstr_element_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_2421,c_2476]) ).
tff(c_2482,plain,
~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(demodulation,[status(thm),theory(equality)],[c_2475,c_2479]) ).
tff(c_2490,plain,
( ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_2482]) ).
tff(c_2494,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_2490]) ).
tff(c_2495,plain,
~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(splitRight,[status(thm)],[c_2474]) ).
tff(c_2499,plain,
( ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_2495]) ).
tff(c_2503,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_2499]) ).
tff(c_2504,plain,
relstr_element_smaller('#skF_8','#skF_9','#skF_10'),
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_4108,plain,
! [A_601,B_602,C_603,E_604] :
( element('#skF_1'(A_601,B_602,C_603),the_carrier(A_601))
| related(A_601,E_604,'#skF_2'(A_601,B_602,C_603))
| ~ relstr_element_smaller(A_601,B_602,E_604)
| ~ element(E_604,the_carrier(A_601))
| ex_inf_of_relstr_set(A_601,B_602)
| ~ relstr_element_smaller(A_601,B_602,C_603)
| ~ element(C_603,the_carrier(A_601))
| ~ rel_str(A_601) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2869,plain,
! [A_505,B_506,C_507,E_508] :
( element('#skF_1'(A_505,B_506,C_507),the_carrier(A_505))
| related(A_505,E_508,'#skF_2'(A_505,B_506,C_507))
| ~ relstr_element_smaller(A_505,B_506,E_508)
| ~ element(E_508,the_carrier(A_505))
| ex_inf_of_relstr_set(A_505,B_506)
| ~ relstr_element_smaller(A_505,B_506,C_507)
| ~ element(C_507,the_carrier(A_505))
| ~ rel_str(A_505) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2535,plain,
! [C_96] :
( relstr_element_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_element_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(splitLeft,[status(thm)],[c_66]) ).
tff(c_2511,plain,
! [A_424,D_425,B_426] :
( related(A_424,D_425,'#skF_3'(A_424,B_426))
| ~ relstr_element_smaller(A_424,B_426,D_425)
| ~ element(D_425,the_carrier(A_424))
| ~ ex_inf_of_relstr_set(A_424,B_426)
| ~ rel_str(A_424) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_62,plain,
! [C_96] :
( element('#skF_10',the_carrier('#skF_8'))
| ~ related('#skF_8','#skF_12'(C_96),C_96)
| ~ relstr_element_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_2506,plain,
! [C_96] :
( ~ related('#skF_8','#skF_12'(C_96),C_96)
| ~ relstr_element_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_2515,plain,
! [B_426] :
( ~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_426))
| ~ element('#skF_3'('#skF_8',B_426),the_carrier('#skF_8'))
| ~ relstr_element_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_inf_of_relstr_set('#skF_8',B_426)
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_2511,c_2506]) ).
tff(c_2543,plain,
! [B_450] :
( ~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_450))
| ~ element('#skF_3'('#skF_8',B_450),the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8',B_450,'#skF_12'('#skF_3'('#skF_8',B_450)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_450)),the_carrier('#skF_8'))
| ~ ex_inf_of_relstr_set('#skF_8',B_450) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2515]) ).
tff(c_2546,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ relstr_element_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_2535,c_2543]) ).
tff(c_2549,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ relstr_element_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_2546]) ).
tff(c_2550,plain,
~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_2549]) ).
tff(c_2553,plain,
( ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6,c_2550]) ).
tff(c_2557,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_2553]) ).
tff(c_2559,plain,
element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_2549]) ).
tff(c_2529,plain,
! [C_96] :
( element('#skF_12'(C_96),the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_2558,plain,
( ~ relstr_element_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_2549]) ).
tff(c_2560,plain,
~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_2558]) ).
tff(c_2563,plain,
( ~ relstr_element_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_2529,c_2560]) ).
tff(c_2566,plain,
~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(demodulation,[status(thm),theory(equality)],[c_2559,c_2563]) ).
tff(c_2570,plain,
( ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_2566]) ).
tff(c_2574,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_2570]) ).
tff(c_2575,plain,
~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(splitRight,[status(thm)],[c_2558]) ).
tff(c_2579,plain,
( ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_2575]) ).
tff(c_2583,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_2579]) ).
tff(c_2584,plain,
! [D_92] :
( related('#skF_8',D_92,'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_2873,plain,
! [B_506,C_507,E_508] :
( related('#skF_8','#skF_1'('#skF_8',B_506,C_507),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_506,C_507))
| related('#skF_8',E_508,'#skF_2'('#skF_8',B_506,C_507))
| ~ relstr_element_smaller('#skF_8',B_506,E_508)
| ~ element(E_508,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_506)
| ~ relstr_element_smaller('#skF_8',B_506,C_507)
| ~ element(C_507,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_2869,c_2584]) ).
tff(c_2913,plain,
! [B_509,C_510,E_511] :
( related('#skF_8','#skF_1'('#skF_8',B_509,C_510),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_509,C_510))
| related('#skF_8',E_511,'#skF_2'('#skF_8',B_509,C_510))
| ~ relstr_element_smaller('#skF_8',B_509,E_511)
| ~ element(E_511,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_509)
| ~ relstr_element_smaller('#skF_8',B_509,C_510)
| ~ element(C_510,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2873]) ).
tff(c_2918,plain,
! [C_58,E_511,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_511,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_511)
| ~ element(E_511,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_2913]) ).
tff(c_2931,plain,
! [C_58,E_511,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_511,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_511)
| ~ element(E_511,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2918]) ).
tff(c_2932,plain,
! [C_58,E_511,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_511,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_511)
| ~ element(E_511,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_2931]) ).
tff(c_3490,plain,
! [C_538,E_539] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_538),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_539)
| ~ element(E_539,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_538)
| ~ element(C_538,the_carrier('#skF_8'))
| related('#skF_8',E_539,'#skF_2'('#skF_8','#skF_9',C_538)) ),
inference(factorization,[status(thm),theory(equality)],[c_2932]) ).
tff(c_3493,plain,
! [E_64,E_539] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_539)
| ~ element(E_539,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| related('#skF_8',E_539,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_3490,c_20]) ).
tff(c_3535,plain,
! [E_64,E_539] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_539)
| ~ element(E_539,the_carrier('#skF_8'))
| related('#skF_8',E_539,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2508,c_2504,c_52,c_3493]) ).
tff(c_3536,plain,
! [E_64,E_539] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_539)
| ~ element(E_539,the_carrier('#skF_8'))
| related('#skF_8',E_539,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_3535]) ).
tff(c_3607,plain,
! [E_543] :
( ~ relstr_element_smaller('#skF_8','#skF_9',E_543)
| ~ element(E_543,the_carrier('#skF_8'))
| related('#skF_8',E_543,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(splitLeft,[status(thm)],[c_3536]) ).
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_inf_of_relstr_set(A_1,B_39)
| ~ relstr_element_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_2585,plain,
! [D_454] :
( related('#skF_8',D_454,'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',D_454)
| ~ element(D_454,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_2589,plain,
! [B_39,C_58] :
( related('#skF_8','#skF_1'('#skF_8',B_39,C_58),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_39,C_58))
| ( '#skF_2'('#skF_8',B_39,C_58) != C_58 )
| ex_inf_of_relstr_set('#skF_8',B_39)
| ~ relstr_element_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_2585]) ).
tff(c_2688,plain,
! [B_481,C_482] :
( related('#skF_8','#skF_1'('#skF_8',B_481,C_482),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_481,C_482))
| ( '#skF_2'('#skF_8',B_481,C_482) != C_482 )
| ex_inf_of_relstr_set('#skF_8',B_481)
| ~ relstr_element_smaller('#skF_8',B_481,C_482)
| ~ element(C_482,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2589]) ).
tff(c_2698,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_2688]) ).
tff(c_2705,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2698]) ).
tff(c_2744,plain,
! [C_487] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_487),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_487) != C_487 )
| ~ relstr_element_smaller('#skF_8','#skF_9',C_487)
| ~ element(C_487,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_2705]) ).
tff(c_2754,plain,
( ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' )
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2744,c_14]) ).
tff(c_2767,plain,
( ex_inf_of_relstr_set('#skF_8','#skF_9')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2508,c_2504,c_52,c_2754]) ).
tff(c_2768,plain,
'#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10',
inference(negUnitSimplification,[status(thm)],[c_99,c_2767]) ).
tff(c_2667,plain,
! [A_473,B_474,C_475] :
( element('#skF_1'(A_473,B_474,C_475),the_carrier(A_473))
| relstr_element_smaller(A_473,B_474,'#skF_2'(A_473,B_474,C_475))
| ex_inf_of_relstr_set(A_473,B_474)
| ~ relstr_element_smaller(A_473,B_474,C_475)
| ~ element(C_475,the_carrier(A_473))
| ~ rel_str(A_473) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2671,plain,
! [B_474,C_475] :
( related('#skF_8','#skF_1'('#skF_8',B_474,C_475),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_474,C_475))
| relstr_element_smaller('#skF_8',B_474,'#skF_2'('#skF_8',B_474,C_475))
| ex_inf_of_relstr_set('#skF_8',B_474)
| ~ relstr_element_smaller('#skF_8',B_474,C_475)
| ~ element(C_475,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_2667,c_2584]) ).
tff(c_2788,plain,
! [B_495,C_496] :
( related('#skF_8','#skF_1'('#skF_8',B_495,C_496),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_495,C_496))
| relstr_element_smaller('#skF_8',B_495,'#skF_2'('#skF_8',B_495,C_496))
| ex_inf_of_relstr_set('#skF_8',B_495)
| ~ relstr_element_smaller('#skF_8',B_495,C_496)
| ~ element(C_496,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2671]) ).
tff(c_2794,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_2788]) ).
tff(c_2805,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2794]) ).
tff(c_2827,plain,
! [C_501] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_501),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_501))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_501)
| ~ element(C_501,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_2805]) ).
tff(c_2652,plain,
! [A_463,B_464,C_465] :
( relstr_element_smaller(A_463,B_464,'#skF_1'(A_463,B_464,C_465))
| element('#skF_2'(A_463,B_464,C_465),the_carrier(A_463))
| ex_inf_of_relstr_set(A_463,B_464)
| ~ relstr_element_smaller(A_463,B_464,C_465)
| ~ element(C_465,the_carrier(A_463))
| ~ rel_str(A_463) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2656,plain,
! [B_464,C_465] :
( related('#skF_8','#skF_2'('#skF_8',B_464,C_465),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_464,C_465))
| relstr_element_smaller('#skF_8',B_464,'#skF_1'('#skF_8',B_464,C_465))
| ex_inf_of_relstr_set('#skF_8',B_464)
| ~ relstr_element_smaller('#skF_8',B_464,C_465)
| ~ element(C_465,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_2652,c_2584]) ).
tff(c_2659,plain,
! [B_464,C_465] :
( related('#skF_8','#skF_2'('#skF_8',B_464,C_465),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_464,C_465))
| relstr_element_smaller('#skF_8',B_464,'#skF_1'('#skF_8',B_464,C_465))
| ex_inf_of_relstr_set('#skF_8',B_464)
| ~ relstr_element_smaller('#skF_8',B_464,C_465)
| ~ element(C_465,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2656]) ).
tff(c_2829,plain,
! [C_501] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9',C_501),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_501))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_501),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_501)
| ~ element(C_501,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2827,c_2659]) ).
tff(c_2832,plain,
! [C_501] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9',C_501),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_501))
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_501),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_501)
| ~ element(C_501,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_2829]) ).
tff(c_2915,plain,
! [E_511,C_501] :
( related('#skF_8',E_511,'#skF_2'('#skF_8','#skF_9',C_501))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_511)
| ~ element(E_511,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_501),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_501),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_501)
| ~ element(C_501,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2832,c_2913]) ).
tff(c_2941,plain,
! [E_512,C_513] :
( related('#skF_8',E_512,'#skF_2'('#skF_8','#skF_9',C_513))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_512)
| ~ element(E_512,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_513),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_513),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_513)
| ~ element(C_513,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_2915]) ).
tff(c_2973,plain,
! [E_512] :
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8',E_512,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_512)
| ~ element(E_512,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2941,c_26]) ).
tff(c_3011,plain,
! [E_512] :
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8',E_512,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_512)
| ~ element(E_512,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(demodulation,[status(thm),theory(equality)],[c_2508,c_2504,c_52,c_2973]) ).
tff(c_3012,plain,
! [E_512] :
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8',E_512,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_512)
| ~ element(E_512,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(negUnitSimplification,[status(thm)],[c_99,c_3011]) ).
tff(c_3024,plain,
related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitLeft,[status(thm)],[c_3012]) ).
tff(c_3026,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8')
| ~ antisymmetric_relstr('#skF_8') ),
inference(resolution,[status(thm)],[c_3024,c_88]) ).
tff(c_3029,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#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_2508,c_3026]) ).
tff(c_3030,plain,
( ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_2768,c_3029]) ).
tff(c_3032,plain,
~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_3030]) ).
tff(c_3038,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_3032]) ).
tff(c_3045,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2508,c_2504,c_3038]) ).
tff(c_3046,plain,
relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_99,c_3045]) ).
tff(c_2644,plain,
! [A_460,B_461,C_462] :
( element('#skF_1'(A_460,B_461,C_462),the_carrier(A_460))
| element('#skF_2'(A_460,B_461,C_462),the_carrier(A_460))
| ex_inf_of_relstr_set(A_460,B_461)
| ~ relstr_element_smaller(A_460,B_461,C_462)
| ~ element(C_462,the_carrier(A_460))
| ~ rel_str(A_460) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_2648,plain,
! [B_461,C_462] :
( related('#skF_8','#skF_1'('#skF_8',B_461,C_462),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_461,C_462))
| element('#skF_2'('#skF_8',B_461,C_462),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_461)
| ~ relstr_element_smaller('#skF_8',B_461,C_462)
| ~ element(C_462,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_2644,c_2584]) ).
tff(c_2651,plain,
! [B_461,C_462] :
( related('#skF_8','#skF_1'('#skF_8',B_461,C_462),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_461,C_462))
| element('#skF_2'('#skF_8',B_461,C_462),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_461)
| ~ relstr_element_smaller('#skF_8',B_461,C_462)
| ~ element(C_462,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2648]) ).
tff(c_3035,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2651,c_3032]) ).
tff(c_3041,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2508,c_2504,c_3035]) ).
tff(c_3042,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_3041]) ).
tff(c_3067,plain,
related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_3046,c_3042]) ).
tff(c_3073,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_3067,c_32]) ).
tff(c_3089,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2508,c_2504,c_3073]) ).
tff(c_3091,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_3032,c_3089]) ).
tff(c_3092,plain,
~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_3030]) ).
tff(c_3610,plain,
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_3607,c_3092]) ).
tff(c_3640,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2508,c_2504,c_3610]) ).
tff(c_3642,plain,
! [E_544] :
( related('#skF_8',E_544,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_544)
| ~ element(E_544,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_3536]) ).
tff(c_3645,plain,
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_3642,c_3092]) ).
tff(c_3675,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2508,c_2504,c_3645]) ).
tff(c_3677,plain,
~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitRight,[status(thm)],[c_3012]) ).
tff(c_3676,plain,
! [E_512] :
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8',E_512,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_512)
| ~ element(E_512,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_3012]) ).
tff(c_3678,plain,
relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitLeft,[status(thm)],[c_3676]) ).
tff(c_3680,plain,
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_3678,c_2659]) ).
tff(c_3683,plain,
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2508,c_2504,c_3680]) ).
tff(c_3684,plain,
relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_99,c_3677,c_3683]) ).
tff(c_2902,plain,
! [B_506,C_507,E_508] :
( related('#skF_8','#skF_1'('#skF_8',B_506,C_507),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_506,C_507))
| related('#skF_8',E_508,'#skF_2'('#skF_8',B_506,C_507))
| ~ relstr_element_smaller('#skF_8',B_506,E_508)
| ~ element(E_508,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_506)
| ~ relstr_element_smaller('#skF_8',B_506,C_507)
| ~ element(C_507,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2873]) ).
tff(c_3692,plain,
! [E_508] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| related('#skF_8',E_508,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_508)
| ~ element(E_508,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_3684,c_2902]) ).
tff(c_3700,plain,
! [E_508] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| related('#skF_8',E_508,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_508)
| ~ element(E_508,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2508,c_2504,c_3692]) ).
tff(c_3701,plain,
! [E_508] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| related('#skF_8',E_508,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_508)
| ~ element(E_508,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_3700]) ).
tff(c_3710,plain,
related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitLeft,[status(thm)],[c_3701]) ).
tff(c_3716,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_3710,c_32]) ).
tff(c_3732,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2508,c_2504,c_3716]) ).
tff(c_3733,plain,
element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(negUnitSimplification,[status(thm)],[c_99,c_3732]) ).
tff(c_3743,plain,
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_3733,c_2584]) ).
tff(c_3746,plain,
related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_3678,c_3743]) ).
tff(c_3748,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3677,c_3746]) ).
tff(c_3750,plain,
~ related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitRight,[status(thm)],[c_3701]) ).
tff(c_3764,plain,
! [E_548] :
( related('#skF_8',E_548,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_548)
| ~ element(E_548,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_3701]) ).
tff(c_3786,plain,
! [E_548] :
( ( E_548 = '#skF_2'('#skF_8','#skF_9','#skF_10') )
| ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_548)
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ~ rel_str('#skF_8')
| ~ antisymmetric_relstr('#skF_8')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_548)
| ~ element(E_548,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_3764,c_88]) ).
tff(c_3811,plain,
! [E_548] :
( ( E_548 = '#skF_2'('#skF_8','#skF_9','#skF_10') )
| ~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),E_548)
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_548)
| ~ element(E_548,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_54,c_52,c_3786]) ).
tff(c_3813,plain,
~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_3811]) ).
tff(c_3816,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2651,c_3813]) ).
tff(c_3822,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2508,c_2504,c_3684,c_3816]) ).
tff(c_3824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_3750,c_3822]) ).
tff(c_3826,plain,
element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_3811]) ).
tff(c_3853,plain,
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_3826,c_2584]) ).
tff(c_3856,plain,
related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_3678,c_3853]) ).
tff(c_3858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3677,c_3856]) ).
tff(c_3860,plain,
~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_3676]) ).
tff(c_2806,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_2805]) ).
tff(c_3863,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_2806,c_3860]) ).
tff(c_3867,plain,
related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_2508,c_2504,c_3863]) ).
tff(c_3871,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_3867,c_26]) ).
tff(c_3885,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2508,c_2504,c_3871]) ).
tff(c_3887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_3860,c_3885]) ).
tff(c_3888,plain,
! [D_92] :
( related('#skF_8',D_92,'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_4112,plain,
! [B_602,C_603,E_604] :
( related('#skF_8','#skF_1'('#skF_8',B_602,C_603),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_602,C_603))
| related('#skF_8',E_604,'#skF_2'('#skF_8',B_602,C_603))
| ~ relstr_element_smaller('#skF_8',B_602,E_604)
| ~ element(E_604,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_602)
| ~ relstr_element_smaller('#skF_8',B_602,C_603)
| ~ element(C_603,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4108,c_3888]) ).
tff(c_4471,plain,
! [B_629,C_630,E_631] :
( related('#skF_8','#skF_1'('#skF_8',B_629,C_630),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_629,C_630))
| related('#skF_8',E_631,'#skF_2'('#skF_8',B_629,C_630))
| ~ relstr_element_smaller('#skF_8',B_629,E_631)
| ~ element(E_631,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_629)
| ~ relstr_element_smaller('#skF_8',B_629,C_630)
| ~ element(C_630,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4112]) ).
tff(c_4474,plain,
! [C_58,E_631,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_631,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_631)
| ~ element(E_631,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_4471]) ).
tff(c_4484,plain,
! [C_58,E_631,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_631,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_631)
| ~ element(E_631,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4474]) ).
tff(c_4485,plain,
! [C_58,E_631,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_631,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_631)
| ~ element(E_631,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_4484]) ).
tff(c_4736,plain,
! [C_648,E_649] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_648),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_649)
| ~ element(E_649,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_648)
| ~ element(C_648,the_carrier('#skF_8'))
| related('#skF_8',E_649,'#skF_2'('#skF_8','#skF_9',C_648)) ),
inference(factorization,[status(thm),theory(equality)],[c_4485]) ).
tff(c_4739,plain,
! [E_64,E_649] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_649)
| ~ element(E_649,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| related('#skF_8',E_649,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_4736,c_20]) ).
tff(c_4781,plain,
! [E_64,E_649] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_649)
| ~ element(E_649,the_carrier('#skF_8'))
| related('#skF_8',E_649,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_2508,c_2504,c_52,c_4739]) ).
tff(c_4782,plain,
! [E_64,E_649] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_649)
| ~ element(E_649,the_carrier('#skF_8'))
| related('#skF_8',E_649,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_4781]) ).
tff(c_4828,plain,
! [E_650] :
( ~ relstr_element_smaller('#skF_8','#skF_9',E_650)
| ~ element(E_650,the_carrier('#skF_8'))
| related('#skF_8',E_650,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(splitLeft,[status(thm)],[c_4782]) ).
tff(c_3935,plain,
! [A_564,B_565,C_566] :
( element('#skF_1'(A_564,B_565,C_566),the_carrier(A_564))
| ( '#skF_2'(A_564,B_565,C_566) != C_566 )
| ex_inf_of_relstr_set(A_564,B_565)
| ~ relstr_element_smaller(A_564,B_565,C_566)
| ~ element(C_566,the_carrier(A_564))
| ~ rel_str(A_564) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_3939,plain,
! [B_565,C_566] :
( related('#skF_8','#skF_1'('#skF_8',B_565,C_566),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_565,C_566))
| ( '#skF_2'('#skF_8',B_565,C_566) != C_566 )
| ex_inf_of_relstr_set('#skF_8',B_565)
| ~ relstr_element_smaller('#skF_8',B_565,C_566)
| ~ element(C_566,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_3935,c_3888]) ).
tff(c_4044,plain,
! [B_595,C_596] :
( related('#skF_8','#skF_1'('#skF_8',B_595,C_596),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_595,C_596))
| ( '#skF_2'('#skF_8',B_595,C_596) != C_596 )
| ex_inf_of_relstr_set('#skF_8',B_595)
| ~ relstr_element_smaller('#skF_8',B_595,C_596)
| ~ element(C_596,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_3939]) ).
tff(c_4058,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_4044]) ).
tff(c_4069,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4058]) ).
tff(c_4071,plain,
! [C_597] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_597),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_597) != C_597 )
| ~ relstr_element_smaller('#skF_8','#skF_9',C_597)
| ~ element(C_597,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_4069]) ).
tff(c_4081,plain,
( ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' )
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4071,c_14]) ).
tff(c_4094,plain,
( ex_inf_of_relstr_set('#skF_8','#skF_9')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2508,c_2504,c_52,c_4081]) ).
tff(c_4095,plain,
'#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10',
inference(negUnitSimplification,[status(thm)],[c_99,c_4094]) ).
tff(c_3949,plain,
! [A_570,B_571,C_572] :
( element('#skF_1'(A_570,B_571,C_572),the_carrier(A_570))
| relstr_element_smaller(A_570,B_571,'#skF_2'(A_570,B_571,C_572))
| ex_inf_of_relstr_set(A_570,B_571)
| ~ relstr_element_smaller(A_570,B_571,C_572)
| ~ element(C_572,the_carrier(A_570))
| ~ rel_str(A_570) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_3953,plain,
! [B_571,C_572] :
( related('#skF_8','#skF_1'('#skF_8',B_571,C_572),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_571,C_572))
| relstr_element_smaller('#skF_8',B_571,'#skF_2'('#skF_8',B_571,C_572))
| ex_inf_of_relstr_set('#skF_8',B_571)
| ~ relstr_element_smaller('#skF_8',B_571,C_572)
| ~ element(C_572,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_3949,c_3888]) ).
tff(c_4155,plain,
! [B_609,C_610] :
( related('#skF_8','#skF_1'('#skF_8',B_609,C_610),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_609,C_610))
| relstr_element_smaller('#skF_8',B_609,'#skF_2'('#skF_8',B_609,C_610))
| ex_inf_of_relstr_set('#skF_8',B_609)
| ~ relstr_element_smaller('#skF_8',B_609,C_610)
| ~ element(C_610,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_3953]) ).
tff(c_4161,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_4155]) ).
tff(c_4172,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_4161]) ).
tff(c_4173,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_4172]) ).
tff(c_4178,plain,
! [C_611] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_611),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_611))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_611)
| ~ element(C_611,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_4172]) ).
tff(c_3957,plain,
! [A_573,B_574,C_575] :
( relstr_element_smaller(A_573,B_574,'#skF_1'(A_573,B_574,C_575))
| element('#skF_2'(A_573,B_574,C_575),the_carrier(A_573))
| ex_inf_of_relstr_set(A_573,B_574)
| ~ relstr_element_smaller(A_573,B_574,C_575)
| ~ element(C_575,the_carrier(A_573))
| ~ rel_str(A_573) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_3961,plain,
! [B_574,C_575] :
( related('#skF_8','#skF_2'('#skF_8',B_574,C_575),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_574,C_575))
| relstr_element_smaller('#skF_8',B_574,'#skF_1'('#skF_8',B_574,C_575))
| ex_inf_of_relstr_set('#skF_8',B_574)
| ~ relstr_element_smaller('#skF_8',B_574,C_575)
| ~ element(C_575,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_3957,c_3888]) ).
tff(c_3964,plain,
! [B_574,C_575] :
( related('#skF_8','#skF_2'('#skF_8',B_574,C_575),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_574,C_575))
| relstr_element_smaller('#skF_8',B_574,'#skF_1'('#skF_8',B_574,C_575))
| ex_inf_of_relstr_set('#skF_8',B_574)
| ~ relstr_element_smaller('#skF_8',B_574,C_575)
| ~ element(C_575,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_3961]) ).
tff(c_4180,plain,
! [C_611] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9',C_611),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_611))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_611),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_611)
| ~ element(C_611,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4178,c_3964]) ).
tff(c_4183,plain,
! [C_611] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9',C_611),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_611))
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_611),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_611)
| ~ element(C_611,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_4180]) ).
tff(c_3965,plain,
! [A_576,B_577,C_578] :
( element('#skF_1'(A_576,B_577,C_578),the_carrier(A_576))
| element('#skF_2'(A_576,B_577,C_578),the_carrier(A_576))
| ex_inf_of_relstr_set(A_576,B_577)
| ~ relstr_element_smaller(A_576,B_577,C_578)
| ~ element(C_578,the_carrier(A_576))
| ~ rel_str(A_576) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_3969,plain,
! [B_577,C_578] :
( related('#skF_8','#skF_1'('#skF_8',B_577,C_578),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_577,C_578))
| element('#skF_2'('#skF_8',B_577,C_578),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_577)
| ~ relstr_element_smaller('#skF_8',B_577,C_578)
| ~ element(C_578,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_3965,c_3888]) ).
tff(c_4150,plain,
! [B_607,C_608] :
( related('#skF_8','#skF_1'('#skF_8',B_607,C_608),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_607,C_608))
| element('#skF_2'('#skF_8',B_607,C_608),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_607)
| ~ relstr_element_smaller('#skF_8',B_607,C_608)
| ~ element(C_608,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_3969]) ).
tff(c_4248,plain,
! [B_619,C_620] :
( related('#skF_8','#skF_2'('#skF_8',B_619,C_620),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_619,C_620))
| related('#skF_8','#skF_1'('#skF_8',B_619,C_620),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_619,C_620))
| ex_inf_of_relstr_set('#skF_8',B_619)
| ~ relstr_element_smaller('#skF_8',B_619,C_620)
| ~ element(C_620,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4150,c_3888]) ).
tff(c_4251,plain,
! [C_611] :
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_611))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_611),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_611),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_611)
| ~ element(C_611,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4183,c_4248]) ).
tff(c_4281,plain,
! [C_621] :
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_621))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_621),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_621),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_621)
| ~ element(C_621,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_4251]) ).
tff(c_4288,plain,
! [C_622] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9',C_622),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_622),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_622)
| ~ element(C_622,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4173,c_4281]) ).
tff(c_4294,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4288,c_32]) ).
tff(c_4310,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(demodulation,[status(thm),theory(equality)],[c_2508,c_2504,c_52,c_4294]) ).
tff(c_4311,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(negUnitSimplification,[status(thm)],[c_99,c_4310]) ).
tff(c_4323,plain,
related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitLeft,[status(thm)],[c_4311]) ).
tff(c_4325,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8')
| ~ antisymmetric_relstr('#skF_8') ),
inference(resolution,[status(thm)],[c_4323,c_88]) ).
tff(c_4328,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#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_2508,c_4325]) ).
tff(c_4329,plain,
( ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_4095,c_4328]) ).
tff(c_4331,plain,
~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_4329]) ).
tff(c_4360,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_4331]) ).
tff(c_4367,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2508,c_2504,c_4360]) ).
tff(c_4368,plain,
relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_99,c_4367]) ).
tff(c_3972,plain,
! [B_577,C_578] :
( related('#skF_8','#skF_1'('#skF_8',B_577,C_578),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_577,C_578))
| element('#skF_2'('#skF_8',B_577,C_578),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_577)
| ~ relstr_element_smaller('#skF_8',B_577,C_578)
| ~ element(C_578,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_3969]) ).
tff(c_4357,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_3972,c_4331]) ).
tff(c_4363,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_2508,c_2504,c_4357]) ).
tff(c_4364,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_4363]) ).
tff(c_4396,plain,
related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_4368,c_4364]) ).
tff(c_4400,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4396,c_32]) ).
tff(c_4414,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_2508,c_2504,c_4400]) ).
tff(c_4416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_4331,c_4414]) ).
tff(c_4417,plain,
~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_4329]) ).
tff(c_4831,plain,
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4828,c_4417]) ).
tff(c_4861,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2508,c_2504,c_4831]) ).
tff(c_4863,plain,
! [E_651] :
( related('#skF_8',E_651,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_651)
| ~ element(E_651,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_4782]) ).
tff(c_4866,plain,
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4863,c_4417]) ).
tff(c_4896,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2508,c_2504,c_4866]) ).
tff(c_4898,plain,
~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitRight,[status(thm)],[c_4311]) ).
tff(c_4297,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_4288,c_26]) ).
tff(c_4314,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(demodulation,[status(thm),theory(equality)],[c_2508,c_2504,c_52,c_4297]) ).
tff(c_4315,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(negUnitSimplification,[status(thm)],[c_99,c_4314]) ).
tff(c_4926,plain,
relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_4898,c_4315]) ).
tff(c_4897,plain,
element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_4311]) ).
tff(c_4925,plain,
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_4897,c_3888]) ).
tff(c_4990,plain,
related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_4926,c_4925]) ).
tff(c_4991,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4898,c_4990]) ).
tff(c_4992,plain,
! [C_96] :
( relstr_element_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_element_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_4998,plain,
! [A_657,D_658,B_659] :
( related(A_657,D_658,'#skF_3'(A_657,B_659))
| ~ relstr_element_smaller(A_657,B_659,D_658)
| ~ element(D_658,the_carrier(A_657))
| ~ ex_inf_of_relstr_set(A_657,B_659)
| ~ rel_str(A_657) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_5002,plain,
! [B_659] :
( ~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_659))
| ~ element('#skF_3'('#skF_8',B_659),the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8',B_659,'#skF_12'('#skF_3'('#skF_8',B_659)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_659)),the_carrier('#skF_8'))
| ~ ex_inf_of_relstr_set('#skF_8',B_659)
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4998,c_2506]) ).
tff(c_5028,plain,
! [B_687] :
( ~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_687))
| ~ element('#skF_3'('#skF_8',B_687),the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8',B_687,'#skF_12'('#skF_3'('#skF_8',B_687)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_687)),the_carrier('#skF_8'))
| ~ ex_inf_of_relstr_set('#skF_8',B_687) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5002]) ).
tff(c_5031,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ relstr_element_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_4992,c_5028]) ).
tff(c_5034,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ relstr_element_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_5031]) ).
tff(c_5035,plain,
~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_5034]) ).
tff(c_5038,plain,
( ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6,c_5035]) ).
tff(c_5042,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_5038]) ).
tff(c_5044,plain,
element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_5034]) ).
tff(c_4993,plain,
~ element('#skF_10',the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_4996,plain,
! [C_96] :
( element('#skF_12'(C_96),the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_4993,c_78]) ).
tff(c_5043,plain,
( ~ relstr_element_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_5034]) ).
tff(c_5045,plain,
~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_5043]) ).
tff(c_5048,plain,
( ~ relstr_element_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_4996,c_5045]) ).
tff(c_5051,plain,
~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(demodulation,[status(thm),theory(equality)],[c_5044,c_5048]) ).
tff(c_5059,plain,
( ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_5051]) ).
tff(c_5063,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_5059]) ).
tff(c_5064,plain,
~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(splitRight,[status(thm)],[c_5043]) ).
tff(c_5068,plain,
( ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_5064]) ).
tff(c_5072,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_5068]) ).
tff(c_5073,plain,
element('#skF_10',the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_7433,plain,
! [A_961,B_962,C_963,E_964] :
( element('#skF_1'(A_961,B_962,C_963),the_carrier(A_961))
| related(A_961,E_964,'#skF_2'(A_961,B_962,C_963))
| ~ relstr_element_smaller(A_961,B_962,E_964)
| ~ element(E_964,the_carrier(A_961))
| ex_inf_of_relstr_set(A_961,B_962)
| ~ relstr_element_smaller(A_961,B_962,C_963)
| ~ element(C_963,the_carrier(A_961))
| ~ rel_str(A_961) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_6397,plain,
! [A_868,B_869,C_870,E_871] :
( element('#skF_1'(A_868,B_869,C_870),the_carrier(A_868))
| related(A_868,E_871,'#skF_2'(A_868,B_869,C_870))
| ~ relstr_element_smaller(A_868,B_869,E_871)
| ~ element(E_871,the_carrier(A_868))
| ex_inf_of_relstr_set(A_868,B_869)
| ~ relstr_element_smaller(A_868,B_869,C_870)
| ~ element(C_870,the_carrier(A_868))
| ~ rel_str(A_868) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_5443,plain,
! [A_782,B_783,C_784,E_785] :
( element('#skF_1'(A_782,B_783,C_784),the_carrier(A_782))
| related(A_782,E_785,'#skF_2'(A_782,B_783,C_784))
| ~ relstr_element_smaller(A_782,B_783,E_785)
| ~ element(E_785,the_carrier(A_782))
| ex_inf_of_relstr_set(A_782,B_783)
| ~ relstr_element_smaller(A_782,B_783,C_784)
| ~ element(C_784,the_carrier(A_782))
| ~ rel_str(A_782) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_5108,plain,
! [C_96] :
( relstr_element_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_element_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,D_69,B_39] :
( related(A_1,D_69,'#skF_3'(A_1,B_39))
| ~ relstr_element_smaller(A_1,B_39,D_69)
| ~ element(D_69,the_carrier(A_1))
| ~ ex_inf_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',D_92,'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8'))
| ~ related('#skF_8','#skF_12'(C_96),C_96)
| ~ relstr_element_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_5094,plain,
! [C_710] :
( ~ related('#skF_8','#skF_12'(C_710),C_710)
| ~ relstr_element_smaller('#skF_8','#skF_11',C_710)
| ~ element(C_710,the_carrier('#skF_8')) ),
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_5098,plain,
! [B_39] :
( ~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_39))
| ~ element('#skF_3'('#skF_8',B_39),the_carrier('#skF_8'))
| ~ relstr_element_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_inf_of_relstr_set('#skF_8',B_39)
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_2,c_5094]) ).
tff(c_5122,plain,
! [B_727] :
( ~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_727))
| ~ element('#skF_3'('#skF_8',B_727),the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8',B_727,'#skF_12'('#skF_3'('#skF_8',B_727)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_727)),the_carrier('#skF_8'))
| ~ ex_inf_of_relstr_set('#skF_8',B_727) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5098]) ).
tff(c_5125,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ relstr_element_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_5108,c_5122]) ).
tff(c_5128,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ relstr_element_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_5125]) ).
tff(c_5129,plain,
~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_5128]) ).
tff(c_5132,plain,
( ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6,c_5129]) ).
tff(c_5136,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_5132]) ).
tff(c_5138,plain,
element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_5128]) ).
tff(c_5091,plain,
! [C_96] :
( element('#skF_12'(C_96),the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_5137,plain,
( ~ relstr_element_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_5128]) ).
tff(c_5139,plain,
~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_5137]) ).
tff(c_5142,plain,
( ~ relstr_element_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_5091,c_5139]) ).
tff(c_5145,plain,
~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(demodulation,[status(thm),theory(equality)],[c_5138,c_5142]) ).
tff(c_5149,plain,
( ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_5145]) ).
tff(c_5153,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_5149]) ).
tff(c_5154,plain,
~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(splitRight,[status(thm)],[c_5137]) ).
tff(c_5158,plain,
( ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_5154]) ).
tff(c_5162,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_100,c_5158]) ).
tff(c_5163,plain,
! [D_92] :
( related('#skF_8',D_92,'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_5447,plain,
! [B_783,C_784,E_785] :
( related('#skF_8','#skF_1'('#skF_8',B_783,C_784),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_783,C_784))
| related('#skF_8',E_785,'#skF_2'('#skF_8',B_783,C_784))
| ~ relstr_element_smaller('#skF_8',B_783,E_785)
| ~ element(E_785,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_783)
| ~ relstr_element_smaller('#skF_8',B_783,C_784)
| ~ element(C_784,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_5443,c_5163]) ).
tff(c_5527,plain,
! [B_789,C_790,E_791] :
( related('#skF_8','#skF_1'('#skF_8',B_789,C_790),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_789,C_790))
| related('#skF_8',E_791,'#skF_2'('#skF_8',B_789,C_790))
| ~ relstr_element_smaller('#skF_8',B_789,E_791)
| ~ element(E_791,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_789)
| ~ relstr_element_smaller('#skF_8',B_789,C_790)
| ~ element(C_790,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5447]) ).
tff(c_5532,plain,
! [C_58,E_791,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_791,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_791)
| ~ element(E_791,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_5527]) ).
tff(c_5545,plain,
! [C_58,E_791,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_791,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_791)
| ~ element(E_791,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5532]) ).
tff(c_5546,plain,
! [C_58,E_791,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_791,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_791)
| ~ element(E_791,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_5545]) ).
tff(c_5961,plain,
! [C_812,E_813] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_812),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_813)
| ~ element(E_813,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_812)
| ~ element(C_812,the_carrier('#skF_8'))
| related('#skF_8',E_813,'#skF_2'('#skF_8','#skF_9',C_812)) ),
inference(factorization,[status(thm),theory(equality)],[c_5546]) ).
tff(c_5964,plain,
! [E_64,E_813] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_813)
| ~ element(E_813,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| related('#skF_8',E_813,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_5961,c_20]) ).
tff(c_6006,plain,
! [E_64,E_813] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_813)
| ~ element(E_813,the_carrier('#skF_8'))
| related('#skF_8',E_813,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_52,c_5964]) ).
tff(c_6007,plain,
! [E_64,E_813] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_813)
| ~ element(E_813,the_carrier('#skF_8'))
| related('#skF_8',E_813,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_6006]) ).
tff(c_6077,plain,
! [E_817] :
( ~ relstr_element_smaller('#skF_8','#skF_9',E_817)
| ~ element(E_817,the_carrier('#skF_8'))
| related('#skF_8',E_817,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(splitLeft,[status(thm)],[c_6007]) ).
tff(c_5210,plain,
! [A_734,B_735,C_736] :
( element('#skF_1'(A_734,B_735,C_736),the_carrier(A_734))
| ( '#skF_2'(A_734,B_735,C_736) != C_736 )
| ex_inf_of_relstr_set(A_734,B_735)
| ~ relstr_element_smaller(A_734,B_735,C_736)
| ~ element(C_736,the_carrier(A_734))
| ~ rel_str(A_734) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_5214,plain,
! [B_735,C_736] :
( related('#skF_8','#skF_1'('#skF_8',B_735,C_736),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_735,C_736))
| ( '#skF_2'('#skF_8',B_735,C_736) != C_736 )
| ex_inf_of_relstr_set('#skF_8',B_735)
| ~ relstr_element_smaller('#skF_8',B_735,C_736)
| ~ element(C_736,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_5210,c_5163]) ).
tff(c_5262,plain,
! [B_758,C_759] :
( related('#skF_8','#skF_1'('#skF_8',B_758,C_759),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_758,C_759))
| ( '#skF_2'('#skF_8',B_758,C_759) != C_759 )
| ex_inf_of_relstr_set('#skF_8',B_758)
| ~ relstr_element_smaller('#skF_8',B_758,C_759)
| ~ element(C_759,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5214]) ).
tff(c_5272,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_5262]) ).
tff(c_5279,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5272]) ).
tff(c_5281,plain,
! [C_760] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_760),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_760) != C_760 )
| ~ relstr_element_smaller('#skF_8','#skF_9',C_760)
| ~ element(C_760,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_5279]) ).
tff(c_5291,plain,
( ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' )
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5281,c_14]) ).
tff(c_5304,plain,
( ex_inf_of_relstr_set('#skF_8','#skF_9')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_52,c_5291]) ).
tff(c_5305,plain,
'#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10',
inference(negUnitSimplification,[status(thm)],[c_99,c_5304]) ).
tff(c_5218,plain,
! [A_737,B_738,C_739] :
( element('#skF_1'(A_737,B_738,C_739),the_carrier(A_737))
| relstr_element_smaller(A_737,B_738,'#skF_2'(A_737,B_738,C_739))
| ex_inf_of_relstr_set(A_737,B_738)
| ~ relstr_element_smaller(A_737,B_738,C_739)
| ~ element(C_739,the_carrier(A_737))
| ~ rel_str(A_737) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_5222,plain,
! [B_738,C_739] :
( related('#skF_8','#skF_1'('#skF_8',B_738,C_739),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_738,C_739))
| relstr_element_smaller('#skF_8',B_738,'#skF_2'('#skF_8',B_738,C_739))
| ex_inf_of_relstr_set('#skF_8',B_738)
| ~ relstr_element_smaller('#skF_8',B_738,C_739)
| ~ element(C_739,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_5218,c_5163]) ).
tff(c_5355,plain,
! [B_768,C_769] :
( related('#skF_8','#skF_1'('#skF_8',B_768,C_769),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_768,C_769))
| relstr_element_smaller('#skF_8',B_768,'#skF_2'('#skF_8',B_768,C_769))
| ex_inf_of_relstr_set('#skF_8',B_768)
| ~ relstr_element_smaller('#skF_8',B_768,C_769)
| ~ element(C_769,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5222]) ).
tff(c_5362,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_5355]) ).
tff(c_5372,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5362]) ).
tff(c_5373,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_5372]) ).
tff(c_5235,plain,
! [A_746,B_747,C_748] :
( relstr_element_smaller(A_746,B_747,'#skF_1'(A_746,B_747,C_748))
| element('#skF_2'(A_746,B_747,C_748),the_carrier(A_746))
| ex_inf_of_relstr_set(A_746,B_747)
| ~ relstr_element_smaller(A_746,B_747,C_748)
| ~ element(C_748,the_carrier(A_746))
| ~ rel_str(A_746) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_5239,plain,
! [B_747,C_748] :
( related('#skF_8','#skF_2'('#skF_8',B_747,C_748),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_747,C_748))
| relstr_element_smaller('#skF_8',B_747,'#skF_1'('#skF_8',B_747,C_748))
| ex_inf_of_relstr_set('#skF_8',B_747)
| ~ relstr_element_smaller('#skF_8',B_747,C_748)
| ~ element(C_748,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_5235,c_5163]) ).
tff(c_5384,plain,
! [B_773,C_774] :
( related('#skF_8','#skF_2'('#skF_8',B_773,C_774),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_773,C_774))
| relstr_element_smaller('#skF_8',B_773,'#skF_1'('#skF_8',B_773,C_774))
| ex_inf_of_relstr_set('#skF_8',B_773)
| ~ relstr_element_smaller('#skF_8',B_773,C_774)
| ~ element(C_774,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5239]) ).
tff(c_5386,plain,
! [C_58] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_58))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5373,c_5384]) ).
tff(c_5390,plain,
! [C_58] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_58))
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_5386]) ).
tff(c_5226,plain,
! [A_740,B_741,C_742] :
( element('#skF_1'(A_740,B_741,C_742),the_carrier(A_740))
| element('#skF_2'(A_740,B_741,C_742),the_carrier(A_740))
| ex_inf_of_relstr_set(A_740,B_741)
| ~ relstr_element_smaller(A_740,B_741,C_742)
| ~ element(C_742,the_carrier(A_740))
| ~ rel_str(A_740) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_5230,plain,
! [B_741,C_742] :
( related('#skF_8','#skF_1'('#skF_8',B_741,C_742),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_741,C_742))
| element('#skF_2'('#skF_8',B_741,C_742),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_741)
| ~ relstr_element_smaller('#skF_8',B_741,C_742)
| ~ element(C_742,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_5226,c_5163]) ).
tff(c_5379,plain,
! [B_771,C_772] :
( related('#skF_8','#skF_1'('#skF_8',B_771,C_772),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_771,C_772))
| element('#skF_2'('#skF_8',B_771,C_772),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_771)
| ~ relstr_element_smaller('#skF_8',B_771,C_772)
| ~ element(C_772,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5230]) ).
tff(c_5487,plain,
! [B_786,C_787] :
( related('#skF_8','#skF_2'('#skF_8',B_786,C_787),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_786,C_787))
| related('#skF_8','#skF_1'('#skF_8',B_786,C_787),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_786,C_787))
| ex_inf_of_relstr_set('#skF_8',B_786)
| ~ relstr_element_smaller('#skF_8',B_786,C_787)
| ~ element(C_787,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5379,c_5163]) ).
tff(c_5490,plain,
! [C_58] :
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5390,c_5487]) ).
tff(c_5520,plain,
! [C_788] :
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_788))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_788),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_788),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_788)
| ~ element(C_788,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_5490]) ).
tff(c_5555,plain,
! [C_792] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9',C_792),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_792),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_792)
| ~ element(C_792,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5373,c_5520]) ).
tff(c_5561,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5555,c_26]) ).
tff(c_5577,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_52,c_5561]) ).
tff(c_5578,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(negUnitSimplification,[status(thm)],[c_99,c_5577]) ).
tff(c_5590,plain,
related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitLeft,[status(thm)],[c_5578]) ).
tff(c_5592,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8')
| ~ antisymmetric_relstr('#skF_8') ),
inference(resolution,[status(thm)],[c_5590,c_88]) ).
tff(c_5595,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#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_5073,c_5592]) ).
tff(c_5596,plain,
( ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_5305,c_5595]) ).
tff(c_5598,plain,
~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_5596]) ).
tff(c_5604,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_5598]) ).
tff(c_5611,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5073,c_2504,c_5604]) ).
tff(c_5612,plain,
relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_99,c_5611]) ).
tff(c_5233,plain,
! [B_741,C_742] :
( related('#skF_8','#skF_1'('#skF_8',B_741,C_742),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_741,C_742))
| element('#skF_2'('#skF_8',B_741,C_742),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_741)
| ~ relstr_element_smaller('#skF_8',B_741,C_742)
| ~ element(C_742,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5230]) ).
tff(c_5601,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5233,c_5598]) ).
tff(c_5607,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_5601]) ).
tff(c_5608,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_5607]) ).
tff(c_5640,plain,
related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_5612,c_5608]) ).
tff(c_5646,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_5640,c_32]) ).
tff(c_5662,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5073,c_2504,c_5646]) ).
tff(c_5664,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_5598,c_5662]) ).
tff(c_5665,plain,
~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_5596]) ).
tff(c_6080,plain,
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6077,c_5665]) ).
tff(c_6110,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_6080]) ).
tff(c_6113,plain,
! [E_818] :
( related('#skF_8',E_818,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_818)
| ~ element(E_818,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_6007]) ).
tff(c_6116,plain,
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6113,c_5665]) ).
tff(c_6146,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_6116]) ).
tff(c_6148,plain,
~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitRight,[status(thm)],[c_5578]) ).
tff(c_6147,plain,
relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_5578]) ).
tff(c_5564,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_5555,c_32]) ).
tff(c_5581,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_52,c_5564]) ).
tff(c_5582,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(negUnitSimplification,[status(thm)],[c_99,c_5581]) ).
tff(c_6155,plain,
element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(negUnitSimplification,[status(thm)],[c_6148,c_5582]) ).
tff(c_6158,plain,
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_6155,c_5163]) ).
tff(c_6161,plain,
related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_6147,c_6158]) ).
tff(c_6163,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6148,c_6161]) ).
tff(c_6164,plain,
! [D_92] :
( related('#skF_8',D_92,'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_6405,plain,
! [B_869,C_870,E_871] :
( related('#skF_8','#skF_1'('#skF_8',B_869,C_870),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_869,C_870))
| related('#skF_8',E_871,'#skF_2'('#skF_8',B_869,C_870))
| ~ relstr_element_smaller('#skF_8',B_869,E_871)
| ~ element(E_871,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_869)
| ~ relstr_element_smaller('#skF_8',B_869,C_870)
| ~ element(C_870,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6397,c_6164]) ).
tff(c_6681,plain,
! [B_883,C_884,E_885] :
( related('#skF_8','#skF_1'('#skF_8',B_883,C_884),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_883,C_884))
| related('#skF_8',E_885,'#skF_2'('#skF_8',B_883,C_884))
| ~ relstr_element_smaller('#skF_8',B_883,E_885)
| ~ element(E_885,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_883)
| ~ relstr_element_smaller('#skF_8',B_883,C_884)
| ~ element(C_884,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6405]) ).
tff(c_6684,plain,
! [C_58,E_885,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_885,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_885)
| ~ element(E_885,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_6681]) ).
tff(c_6694,plain,
! [C_58,E_885,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_885,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_885)
| ~ element(E_885,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6684]) ).
tff(c_6695,plain,
! [C_58,E_885,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_885,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_885)
| ~ element(E_885,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_6694]) ).
tff(c_6936,plain,
! [C_901,E_902] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_901),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_902)
| ~ element(E_902,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_901)
| ~ element(C_901,the_carrier('#skF_8'))
| related('#skF_8',E_902,'#skF_2'('#skF_8','#skF_9',C_901)) ),
inference(factorization,[status(thm),theory(equality)],[c_6695]) ).
tff(c_6939,plain,
! [E_64,E_902] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_902)
| ~ element(E_902,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| related('#skF_8',E_902,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_6936,c_20]) ).
tff(c_6977,plain,
! [E_64,E_902] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_902)
| ~ element(E_902,the_carrier('#skF_8'))
| related('#skF_8',E_902,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_52,c_6939]) ).
tff(c_6978,plain,
! [E_64,E_902] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_902)
| ~ element(E_902,the_carrier('#skF_8'))
| related('#skF_8',E_902,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_6977]) ).
tff(c_7023,plain,
! [E_903] :
( ~ relstr_element_smaller('#skF_8','#skF_9',E_903)
| ~ element(E_903,the_carrier('#skF_8'))
| related('#skF_8',E_903,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(splitLeft,[status(thm)],[c_6978]) ).
tff(c_6218,plain,
! [A_826,B_827,C_828] :
( element('#skF_1'(A_826,B_827,C_828),the_carrier(A_826))
| ( '#skF_2'(A_826,B_827,C_828) != C_828 )
| ex_inf_of_relstr_set(A_826,B_827)
| ~ relstr_element_smaller(A_826,B_827,C_828)
| ~ element(C_828,the_carrier(A_826))
| ~ rel_str(A_826) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_6222,plain,
! [B_827,C_828] :
( related('#skF_8','#skF_1'('#skF_8',B_827,C_828),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_827,C_828))
| ( '#skF_2'('#skF_8',B_827,C_828) != C_828 )
| ex_inf_of_relstr_set('#skF_8',B_827)
| ~ relstr_element_smaller('#skF_8',B_827,C_828)
| ~ element(C_828,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6218,c_6164]) ).
tff(c_6269,plain,
! [B_849,C_850] :
( related('#skF_8','#skF_1'('#skF_8',B_849,C_850),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_849,C_850))
| ( '#skF_2'('#skF_8',B_849,C_850) != C_850 )
| ex_inf_of_relstr_set('#skF_8',B_849)
| ~ relstr_element_smaller('#skF_8',B_849,C_850)
| ~ element(C_850,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6222]) ).
tff(c_6279,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_6269]) ).
tff(c_6286,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6279]) ).
tff(c_6288,plain,
! [C_851] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_851),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_851) != C_851 )
| ~ relstr_element_smaller('#skF_8','#skF_9',C_851)
| ~ element(C_851,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_6286]) ).
tff(c_6298,plain,
( ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' )
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6288,c_14]) ).
tff(c_6311,plain,
( ex_inf_of_relstr_set('#skF_8','#skF_9')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_52,c_6298]) ).
tff(c_6312,plain,
'#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10',
inference(negUnitSimplification,[status(thm)],[c_99,c_6311]) ).
tff(c_6235,plain,
! [A_835,B_836,C_837] :
( element('#skF_1'(A_835,B_836,C_837),the_carrier(A_835))
| relstr_element_smaller(A_835,B_836,'#skF_2'(A_835,B_836,C_837))
| ex_inf_of_relstr_set(A_835,B_836)
| ~ relstr_element_smaller(A_835,B_836,C_837)
| ~ element(C_837,the_carrier(A_835))
| ~ rel_str(A_835) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_6239,plain,
! [B_836,C_837] :
( related('#skF_8','#skF_1'('#skF_8',B_836,C_837),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_836,C_837))
| relstr_element_smaller('#skF_8',B_836,'#skF_2'('#skF_8',B_836,C_837))
| ex_inf_of_relstr_set('#skF_8',B_836)
| ~ relstr_element_smaller('#skF_8',B_836,C_837)
| ~ element(C_837,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6235,c_6164]) ).
tff(c_6335,plain,
! [B_861,C_862] :
( related('#skF_8','#skF_1'('#skF_8',B_861,C_862),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_861,C_862))
| relstr_element_smaller('#skF_8',B_861,'#skF_2'('#skF_8',B_861,C_862))
| ex_inf_of_relstr_set('#skF_8',B_861)
| ~ relstr_element_smaller('#skF_8',B_861,C_862)
| ~ element(C_862,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6239]) ).
tff(c_6339,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_6335]) ).
tff(c_6345,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6339]) ).
tff(c_6346,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_6345]) ).
tff(c_6351,plain,
! [C_863] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_863),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_863))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_863)
| ~ element(C_863,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_6345]) ).
tff(c_6261,plain,
! [A_846,B_847,C_848] :
( relstr_element_smaller(A_846,B_847,'#skF_1'(A_846,B_847,C_848))
| element('#skF_2'(A_846,B_847,C_848),the_carrier(A_846))
| ex_inf_of_relstr_set(A_846,B_847)
| ~ relstr_element_smaller(A_846,B_847,C_848)
| ~ element(C_848,the_carrier(A_846))
| ~ rel_str(A_846) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_6265,plain,
! [B_847,C_848] :
( related('#skF_8','#skF_2'('#skF_8',B_847,C_848),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_847,C_848))
| relstr_element_smaller('#skF_8',B_847,'#skF_1'('#skF_8',B_847,C_848))
| ex_inf_of_relstr_set('#skF_8',B_847)
| ~ relstr_element_smaller('#skF_8',B_847,C_848)
| ~ element(C_848,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6261,c_6164]) ).
tff(c_6268,plain,
! [B_847,C_848] :
( related('#skF_8','#skF_2'('#skF_8',B_847,C_848),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_847,C_848))
| relstr_element_smaller('#skF_8',B_847,'#skF_1'('#skF_8',B_847,C_848))
| ex_inf_of_relstr_set('#skF_8',B_847)
| ~ relstr_element_smaller('#skF_8',B_847,C_848)
| ~ element(C_848,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6265]) ).
tff(c_6353,plain,
! [C_863] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9',C_863),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_863))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_863),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_863)
| ~ element(C_863,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6351,c_6268]) ).
tff(c_6356,plain,
! [C_863] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9',C_863),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_863))
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_863),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_863)
| ~ element(C_863,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_6353]) ).
tff(c_6226,plain,
! [A_829,B_830,C_831] :
( element('#skF_1'(A_829,B_830,C_831),the_carrier(A_829))
| element('#skF_2'(A_829,B_830,C_831),the_carrier(A_829))
| ex_inf_of_relstr_set(A_829,B_830)
| ~ relstr_element_smaller(A_829,B_830,C_831)
| ~ element(C_831,the_carrier(A_829))
| ~ rel_str(A_829) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_6230,plain,
! [B_830,C_831] :
( related('#skF_8','#skF_1'('#skF_8',B_830,C_831),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_830,C_831))
| element('#skF_2'('#skF_8',B_830,C_831),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_830)
| ~ relstr_element_smaller('#skF_8',B_830,C_831)
| ~ element(C_831,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6226,c_6164]) ).
tff(c_6367,plain,
! [B_865,C_866] :
( related('#skF_8','#skF_1'('#skF_8',B_865,C_866),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_865,C_866))
| element('#skF_2'('#skF_8',B_865,C_866),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_865)
| ~ relstr_element_smaller('#skF_8',B_865,C_866)
| ~ element(C_866,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6230]) ).
tff(c_6443,plain,
! [B_873,C_874] :
( related('#skF_8','#skF_2'('#skF_8',B_873,C_874),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_873,C_874))
| related('#skF_8','#skF_1'('#skF_8',B_873,C_874),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_873,C_874))
| ex_inf_of_relstr_set('#skF_8',B_873)
| ~ relstr_element_smaller('#skF_8',B_873,C_874)
| ~ element(C_874,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6367,c_6164]) ).
tff(c_6446,plain,
! [C_863] :
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_863))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_863),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_863),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_863)
| ~ element(C_863,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6356,c_6443]) ).
tff(c_6468,plain,
! [C_875] :
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_875))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_875),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_875),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_875)
| ~ element(C_875,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_6446]) ).
tff(c_6475,plain,
! [C_876] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9',C_876),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_876),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_876)
| ~ element(C_876,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6346,c_6468]) ).
tff(c_6481,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6475,c_26]) ).
tff(c_6497,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_52,c_6481]) ).
tff(c_6498,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(negUnitSimplification,[status(thm)],[c_99,c_6497]) ).
tff(c_6510,plain,
related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitLeft,[status(thm)],[c_6498]) ).
tff(c_6512,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8')
| ~ antisymmetric_relstr('#skF_8') ),
inference(resolution,[status(thm)],[c_6510,c_88]) ).
tff(c_6515,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#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_5073,c_6512]) ).
tff(c_6516,plain,
( ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_6312,c_6515]) ).
tff(c_6571,plain,
~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_6516]) ).
tff(c_6577,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_6571]) ).
tff(c_6584,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5073,c_2504,c_6577]) ).
tff(c_6585,plain,
relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_99,c_6584]) ).
tff(c_6233,plain,
! [B_830,C_831] :
( related('#skF_8','#skF_1'('#skF_8',B_830,C_831),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_830,C_831))
| element('#skF_2'('#skF_8',B_830,C_831),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_830)
| ~ relstr_element_smaller('#skF_8',B_830,C_831)
| ~ element(C_831,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_6230]) ).
tff(c_6574,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6233,c_6571]) ).
tff(c_6580,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_6574]) ).
tff(c_6581,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_6580]) ).
tff(c_6607,plain,
related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_6585,c_6581]) ).
tff(c_6613,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6607,c_32]) ).
tff(c_6629,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5073,c_2504,c_6613]) ).
tff(c_6631,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_6571,c_6629]) ).
tff(c_6632,plain,
~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_6516]) ).
tff(c_7026,plain,
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7023,c_6632]) ).
tff(c_7052,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_7026]) ).
tff(c_7060,plain,
! [E_904] :
( related('#skF_8',E_904,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_904)
| ~ element(E_904,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_6978]) ).
tff(c_7063,plain,
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7060,c_6632]) ).
tff(c_7089,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_7063]) ).
tff(c_7091,plain,
~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitRight,[status(thm)],[c_6498]) ).
tff(c_7090,plain,
relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_6498]) ).
tff(c_6484,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_6475,c_32]) ).
tff(c_6501,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_52,c_6484]) ).
tff(c_6502,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(negUnitSimplification,[status(thm)],[c_99,c_6501]) ).
tff(c_7151,plain,
element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(negUnitSimplification,[status(thm)],[c_7091,c_6502]) ).
tff(c_7154,plain,
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_7151,c_6164]) ).
tff(c_7157,plain,
related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_7090,c_7154]) ).
tff(c_7159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7091,c_7157]) ).
tff(c_7160,plain,
! [D_92] :
( related('#skF_8',D_92,'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_7437,plain,
! [B_962,C_963,E_964] :
( related('#skF_8','#skF_1'('#skF_8',B_962,C_963),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_962,C_963))
| related('#skF_8',E_964,'#skF_2'('#skF_8',B_962,C_963))
| ~ relstr_element_smaller('#skF_8',B_962,E_964)
| ~ element(E_964,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_962)
| ~ relstr_element_smaller('#skF_8',B_962,C_963)
| ~ element(C_963,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_7433,c_7160]) ).
tff(c_7470,plain,
! [B_965,C_966,E_967] :
( related('#skF_8','#skF_1'('#skF_8',B_965,C_966),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_965,C_966))
| related('#skF_8',E_967,'#skF_2'('#skF_8',B_965,C_966))
| ~ relstr_element_smaller('#skF_8',B_965,E_967)
| ~ element(E_967,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_965)
| ~ relstr_element_smaller('#skF_8',B_965,C_966)
| ~ element(C_966,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7437]) ).
tff(c_7475,plain,
! [C_58,E_967,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_967,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_967)
| ~ element(E_967,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_7470]) ).
tff(c_7488,plain,
! [C_58,E_967,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_967,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_967)
| ~ element(E_967,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7475]) ).
tff(c_7489,plain,
! [C_58,E_967,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_967,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_967)
| ~ element(E_967,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_7488]) ).
tff(c_8028,plain,
! [C_994,E_995] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_994),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_995)
| ~ element(E_995,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_994)
| ~ element(C_994,the_carrier('#skF_8'))
| related('#skF_8',E_995,'#skF_2'('#skF_8','#skF_9',C_994)) ),
inference(factorization,[status(thm),theory(equality)],[c_7489]) ).
tff(c_8031,plain,
! [E_64,E_995] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_995)
| ~ element(E_995,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| related('#skF_8',E_995,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_8028,c_20]) ).
tff(c_8069,plain,
! [E_64,E_995] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_995)
| ~ element(E_995,the_carrier('#skF_8'))
| related('#skF_8',E_995,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_52,c_8031]) ).
tff(c_8070,plain,
! [E_64,E_995] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_995)
| ~ element(E_995,the_carrier('#skF_8'))
| related('#skF_8',E_995,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_8069]) ).
tff(c_8140,plain,
! [E_999] :
( ~ relstr_element_smaller('#skF_8','#skF_9',E_999)
| ~ element(E_999,the_carrier('#skF_8'))
| related('#skF_8',E_999,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(splitLeft,[status(thm)],[c_8070]) ).
tff(c_7202,plain,
! [A_911,B_912,C_913] :
( element('#skF_1'(A_911,B_912,C_913),the_carrier(A_911))
| ( '#skF_2'(A_911,B_912,C_913) != C_913 )
| ex_inf_of_relstr_set(A_911,B_912)
| ~ relstr_element_smaller(A_911,B_912,C_913)
| ~ element(C_913,the_carrier(A_911))
| ~ rel_str(A_911) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_7206,plain,
! [B_912,C_913] :
( related('#skF_8','#skF_1'('#skF_8',B_912,C_913),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_912,C_913))
| ( '#skF_2'('#skF_8',B_912,C_913) != C_913 )
| ex_inf_of_relstr_set('#skF_8',B_912)
| ~ relstr_element_smaller('#skF_8',B_912,C_913)
| ~ element(C_913,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_7202,c_7160]) ).
tff(c_7259,plain,
! [B_937,C_938] :
( related('#skF_8','#skF_1'('#skF_8',B_937,C_938),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_937,C_938))
| ( '#skF_2'('#skF_8',B_937,C_938) != C_938 )
| ex_inf_of_relstr_set('#skF_8',B_937)
| ~ relstr_element_smaller('#skF_8',B_937,C_938)
| ~ element(C_938,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7206]) ).
tff(c_7269,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_7259]) ).
tff(c_7276,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7269]) ).
tff(c_7283,plain,
! [C_943] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_943),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_943) != C_943 )
| ~ relstr_element_smaller('#skF_8','#skF_9',C_943)
| ~ element(C_943,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_7276]) ).
tff(c_7296,plain,
( ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' )
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7283,c_14]) ).
tff(c_7313,plain,
( ex_inf_of_relstr_set('#skF_8','#skF_9')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_52,c_7296]) ).
tff(c_7314,plain,
'#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10',
inference(negUnitSimplification,[status(thm)],[c_99,c_7313]) ).
tff(c_7242,plain,
! [A_928,B_929,C_930] :
( element('#skF_1'(A_928,B_929,C_930),the_carrier(A_928))
| relstr_element_smaller(A_928,B_929,'#skF_2'(A_928,B_929,C_930))
| ex_inf_of_relstr_set(A_928,B_929)
| ~ relstr_element_smaller(A_928,B_929,C_930)
| ~ element(C_930,the_carrier(A_928))
| ~ rel_str(A_928) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_7246,plain,
! [B_929,C_930] :
( related('#skF_8','#skF_1'('#skF_8',B_929,C_930),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_929,C_930))
| relstr_element_smaller('#skF_8',B_929,'#skF_2'('#skF_8',B_929,C_930))
| ex_inf_of_relstr_set('#skF_8',B_929)
| ~ relstr_element_smaller('#skF_8',B_929,C_930)
| ~ element(C_930,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_7242,c_7160]) ).
tff(c_7325,plain,
! [B_949,C_950] :
( related('#skF_8','#skF_1'('#skF_8',B_949,C_950),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_949,C_950))
| relstr_element_smaller('#skF_8',B_949,'#skF_2'('#skF_8',B_949,C_950))
| ex_inf_of_relstr_set('#skF_8',B_949)
| ~ relstr_element_smaller('#skF_8',B_949,C_950)
| ~ element(C_950,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7246]) ).
tff(c_7328,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_7325]) ).
tff(c_7335,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7328]) ).
tff(c_7386,plain,
! [C_955] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_955),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_955))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_955)
| ~ element(C_955,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_7335]) ).
tff(c_7250,plain,
! [A_931,B_932,C_933] :
( relstr_element_smaller(A_931,B_932,'#skF_1'(A_931,B_932,C_933))
| element('#skF_2'(A_931,B_932,C_933),the_carrier(A_931))
| ex_inf_of_relstr_set(A_931,B_932)
| ~ relstr_element_smaller(A_931,B_932,C_933)
| ~ element(C_933,the_carrier(A_931))
| ~ rel_str(A_931) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_7254,plain,
! [B_932,C_933] :
( related('#skF_8','#skF_2'('#skF_8',B_932,C_933),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_932,C_933))
| relstr_element_smaller('#skF_8',B_932,'#skF_1'('#skF_8',B_932,C_933))
| ex_inf_of_relstr_set('#skF_8',B_932)
| ~ relstr_element_smaller('#skF_8',B_932,C_933)
| ~ element(C_933,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_7250,c_7160]) ).
tff(c_7257,plain,
! [B_932,C_933] :
( related('#skF_8','#skF_2'('#skF_8',B_932,C_933),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_932,C_933))
| relstr_element_smaller('#skF_8',B_932,'#skF_1'('#skF_8',B_932,C_933))
| ex_inf_of_relstr_set('#skF_8',B_932)
| ~ relstr_element_smaller('#skF_8',B_932,C_933)
| ~ element(C_933,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7254]) ).
tff(c_7388,plain,
! [C_955] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9',C_955),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_955))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_955),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_955)
| ~ element(C_955,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7386,c_7257]) ).
tff(c_7391,plain,
! [C_955] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9',C_955),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_955))
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_955),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_955)
| ~ element(C_955,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_7388]) ).
tff(c_7472,plain,
! [E_967,C_955] :
( related('#skF_8',E_967,'#skF_2'('#skF_8','#skF_9',C_955))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_967)
| ~ element(E_967,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_955),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_955),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_955)
| ~ element(C_955,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7391,c_7470]) ).
tff(c_7498,plain,
! [E_968,C_969] :
( related('#skF_8',E_968,'#skF_2'('#skF_8','#skF_9',C_969))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_968)
| ~ element(E_968,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_969),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_969),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_969)
| ~ element(C_969,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_7472]) ).
tff(c_7526,plain,
! [E_968] :
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8',E_968,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_968)
| ~ element(E_968,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7498,c_32]) ).
tff(c_7563,plain,
! [E_968] :
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8',E_968,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_968)
| ~ element(E_968,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_52,c_7526]) ).
tff(c_7564,plain,
! [E_968] :
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| related('#skF_8',E_968,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_968)
| ~ element(E_968,the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(negUnitSimplification,[status(thm)],[c_99,c_7563]) ).
tff(c_7576,plain,
related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitLeft,[status(thm)],[c_7564]) ).
tff(c_7578,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8')
| ~ antisymmetric_relstr('#skF_8') ),
inference(resolution,[status(thm)],[c_7576,c_88]) ).
tff(c_7581,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#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_5073,c_7578]) ).
tff(c_7582,plain,
( ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_7314,c_7581]) ).
tff(c_7584,plain,
~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_7582]) ).
tff(c_7590,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_7584]) ).
tff(c_7597,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5073,c_2504,c_7590]) ).
tff(c_7598,plain,
relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_99,c_7597]) ).
tff(c_7221,plain,
! [A_920,B_921,C_922] :
( element('#skF_1'(A_920,B_921,C_922),the_carrier(A_920))
| element('#skF_2'(A_920,B_921,C_922),the_carrier(A_920))
| ex_inf_of_relstr_set(A_920,B_921)
| ~ relstr_element_smaller(A_920,B_921,C_922)
| ~ element(C_922,the_carrier(A_920))
| ~ rel_str(A_920) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_7225,plain,
! [B_921,C_922] :
( related('#skF_8','#skF_1'('#skF_8',B_921,C_922),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_921,C_922))
| element('#skF_2'('#skF_8',B_921,C_922),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_921)
| ~ relstr_element_smaller('#skF_8',B_921,C_922)
| ~ element(C_922,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_7221,c_7160]) ).
tff(c_7228,plain,
! [B_921,C_922] :
( related('#skF_8','#skF_1'('#skF_8',B_921,C_922),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_921,C_922))
| element('#skF_2'('#skF_8',B_921,C_922),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_921)
| ~ relstr_element_smaller('#skF_8',B_921,C_922)
| ~ element(C_922,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_7225]) ).
tff(c_7587,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7228,c_7584]) ).
tff(c_7593,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_7587]) ).
tff(c_7594,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_7593]) ).
tff(c_7619,plain,
related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_7598,c_7594]) ).
tff(c_7623,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_7619,c_32]) ).
tff(c_7637,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5073,c_2504,c_7623]) ).
tff(c_7639,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_7584,c_7637]) ).
tff(c_7640,plain,
~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_7582]) ).
tff(c_8143,plain,
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_8140,c_7640]) ).
tff(c_8169,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_8143]) ).
tff(c_8171,plain,
! [E_1000] :
( related('#skF_8',E_1000,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_1000)
| ~ element(E_1000,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_8070]) ).
tff(c_8174,plain,
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_8171,c_7640]) ).
tff(c_8200,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_8174]) ).
tff(c_8202,plain,
~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitRight,[status(thm)],[c_7564]) ).
tff(c_8201,plain,
! [E_968] :
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| related('#skF_8',E_968,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_968)
| ~ element(E_968,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_7564]) ).
tff(c_8203,plain,
element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_8201]) ).
tff(c_8206,plain,
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_8203,c_7160]) ).
tff(c_8209,plain,
~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_8202,c_8206]) ).
tff(c_7336,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_7335]) ).
tff(c_8218,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7336,c_8209]) ).
tff(c_8222,plain,
related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_8218]) ).
tff(c_8228,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_8222,c_26]) ).
tff(c_8244,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5073,c_2504,c_8228]) ).
tff(c_8246,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_8209,c_8244]) ).
tff(c_8248,plain,
~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_8201]) ).
tff(c_8254,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_8248]) ).
tff(c_8261,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5073,c_2504,c_8254]) ).
tff(c_8262,plain,
relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_99,c_8261]) ).
tff(c_8251,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_7228,c_8248]) ).
tff(c_8257,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_5073,c_2504,c_8251]) ).
tff(c_8258,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_8257]) ).
tff(c_8283,plain,
related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_8262,c_8258]) ).
tff(c_8287,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_8283,c_32]) ).
tff(c_8301,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_5073,c_2504,c_8287]) ).
tff(c_8303,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_8248,c_8301]) ).
tff(c_8305,plain,
~ ex_inf_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_inf_of_relstr_set('#skF_8','#skF_11') ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_8306,plain,
element('#skF_10',the_carrier('#skF_8')),
inference(negUnitSimplification,[status(thm)],[c_8305,c_86]) ).
tff(c_8304,plain,
relstr_element_smaller('#skF_8','#skF_9','#skF_10'),
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_8475,plain,
! [A_1057,B_1058,C_1059,E_1060] :
( element('#skF_1'(A_1057,B_1058,C_1059),the_carrier(A_1057))
| related(A_1057,E_1060,'#skF_2'(A_1057,B_1058,C_1059))
| ~ relstr_element_smaller(A_1057,B_1058,E_1060)
| ~ element(E_1060,the_carrier(A_1057))
| ex_inf_of_relstr_set(A_1057,B_1058)
| ~ relstr_element_smaller(A_1057,B_1058,C_1059)
| ~ element(C_1059,the_carrier(A_1057))
| ~ rel_str(A_1057) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_82,plain,
! [D_92] :
( related('#skF_8',D_92,'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_11') ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_8309,plain,
! [D_92] :
( related('#skF_8',D_92,'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',D_92)
| ~ element(D_92,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_8305,c_82]) ).
tff(c_8479,plain,
! [B_1058,C_1059,E_1060] :
( related('#skF_8','#skF_1'('#skF_8',B_1058,C_1059),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_1058,C_1059))
| related('#skF_8',E_1060,'#skF_2'('#skF_8',B_1058,C_1059))
| ~ relstr_element_smaller('#skF_8',B_1058,E_1060)
| ~ element(E_1060,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_1058)
| ~ relstr_element_smaller('#skF_8',B_1058,C_1059)
| ~ element(C_1059,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_8475,c_8309]) ).
tff(c_8874,plain,
! [B_1092,C_1093,E_1094] :
( related('#skF_8','#skF_1'('#skF_8',B_1092,C_1093),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_1092,C_1093))
| related('#skF_8',E_1094,'#skF_2'('#skF_8',B_1092,C_1093))
| ~ relstr_element_smaller('#skF_8',B_1092,E_1094)
| ~ element(E_1094,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_1092)
| ~ relstr_element_smaller('#skF_8',B_1092,C_1093)
| ~ element(C_1093,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_8479]) ).
tff(c_8877,plain,
! [C_58,E_1094,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_1094,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_1094)
| ~ element(E_1094,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_8874]) ).
tff(c_8887,plain,
! [C_58,E_1094,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_1094,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_1094)
| ~ element(E_1094,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_8877]) ).
tff(c_8888,plain,
! [C_58,E_1094,E_64] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| related('#skF_8',E_1094,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_1094)
| ~ element(E_1094,the_carrier('#skF_8'))
| related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_8887]) ).
tff(c_9129,plain,
! [C_1111,E_1112] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_1111),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_1112)
| ~ element(E_1112,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_1111)
| ~ element(C_1111,the_carrier('#skF_8'))
| related('#skF_8',E_1112,'#skF_2'('#skF_8','#skF_9',C_1111)) ),
inference(factorization,[status(thm),theory(equality)],[c_8888]) ).
tff(c_9132,plain,
! [E_64,E_1112] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_1112)
| ~ element(E_1112,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| related('#skF_8',E_1112,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_9129,c_20]) ).
tff(c_9170,plain,
! [E_64,E_1112] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',E_1112)
| ~ element(E_1112,the_carrier('#skF_8'))
| related('#skF_8',E_1112,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(demodulation,[status(thm),theory(equality)],[c_8306,c_8304,c_52,c_9132]) ).
tff(c_9171,plain,
! [E_64,E_1112] :
( related('#skF_8',E_64,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_64)
| ~ element(E_64,the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_1112)
| ~ element(E_1112,the_carrier('#skF_8'))
| related('#skF_8',E_1112,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_9170]) ).
tff(c_9216,plain,
! [E_1113] :
( ~ relstr_element_smaller('#skF_8','#skF_9',E_1113)
| ~ element(E_1113,the_carrier('#skF_8'))
| related('#skF_8',E_1113,'#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(splitLeft,[status(thm)],[c_9171]) ).
tff(c_8370,plain,
! [A_1025,B_1026,C_1027] :
( element('#skF_1'(A_1025,B_1026,C_1027),the_carrier(A_1025))
| ( '#skF_2'(A_1025,B_1026,C_1027) != C_1027 )
| ex_inf_of_relstr_set(A_1025,B_1026)
| ~ relstr_element_smaller(A_1025,B_1026,C_1027)
| ~ element(C_1027,the_carrier(A_1025))
| ~ rel_str(A_1025) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_8374,plain,
! [B_1026,C_1027] :
( related('#skF_8','#skF_1'('#skF_8',B_1026,C_1027),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_1026,C_1027))
| ( '#skF_2'('#skF_8',B_1026,C_1027) != C_1027 )
| ex_inf_of_relstr_set('#skF_8',B_1026)
| ~ relstr_element_smaller('#skF_8',B_1026,C_1027)
| ~ element(C_1027,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_8370,c_8309]) ).
tff(c_8428,plain,
! [B_1054,C_1055] :
( related('#skF_8','#skF_1'('#skF_8',B_1054,C_1055),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_1054,C_1055))
| ( '#skF_2'('#skF_8',B_1054,C_1055) != C_1055 )
| ex_inf_of_relstr_set('#skF_8',B_1054)
| ~ relstr_element_smaller('#skF_8',B_1054,C_1055)
| ~ element(C_1055,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_8374]) ).
tff(c_8438,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_8428]) ).
tff(c_8445,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_58) != C_58 )
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_8438]) ).
tff(c_8447,plain,
! [C_1056] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_1056),'#skF_10')
| ( '#skF_2'('#skF_8','#skF_9',C_1056) != C_1056 )
| ~ relstr_element_smaller('#skF_8','#skF_9',C_1056)
| ~ element(C_1056,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_8445]) ).
tff(c_8457,plain,
( ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' )
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_8447,c_14]) ).
tff(c_8470,plain,
( ex_inf_of_relstr_set('#skF_8','#skF_9')
| ( '#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8306,c_8304,c_52,c_8457]) ).
tff(c_8471,plain,
'#skF_2'('#skF_8','#skF_9','#skF_10') != '#skF_10',
inference(negUnitSimplification,[status(thm)],[c_99,c_8470]) ).
tff(c_8398,plain,
! [A_1040,B_1041,C_1042] :
( element('#skF_1'(A_1040,B_1041,C_1042),the_carrier(A_1040))
| relstr_element_smaller(A_1040,B_1041,'#skF_2'(A_1040,B_1041,C_1042))
| ex_inf_of_relstr_set(A_1040,B_1041)
| ~ relstr_element_smaller(A_1040,B_1041,C_1042)
| ~ element(C_1042,the_carrier(A_1040))
| ~ rel_str(A_1040) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_8402,plain,
! [B_1041,C_1042] :
( related('#skF_8','#skF_1'('#skF_8',B_1041,C_1042),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_1041,C_1042))
| relstr_element_smaller('#skF_8',B_1041,'#skF_2'('#skF_8',B_1041,C_1042))
| ex_inf_of_relstr_set('#skF_8',B_1041)
| ~ relstr_element_smaller('#skF_8',B_1041,C_1042)
| ~ element(C_1042,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_8398,c_8309]) ).
tff(c_8515,plain,
! [B_1066,C_1067] :
( related('#skF_8','#skF_1'('#skF_8',B_1066,C_1067),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_1066,C_1067))
| relstr_element_smaller('#skF_8',B_1066,'#skF_2'('#skF_8',B_1066,C_1067))
| ex_inf_of_relstr_set('#skF_8',B_1066)
| ~ relstr_element_smaller('#skF_8',B_1066,C_1067)
| ~ element(C_1067,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_8402]) ).
tff(c_8518,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_8515]) ).
tff(c_8525,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_8518]) ).
tff(c_8526,plain,
! [C_58] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_58),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_58))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_58)
| ~ element(C_58,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_8525]) ).
tff(c_8531,plain,
! [C_1068] :
( related('#skF_8','#skF_1'('#skF_8','#skF_9',C_1068),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_1068))
| ~ relstr_element_smaller('#skF_8','#skF_9',C_1068)
| ~ element(C_1068,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_8525]) ).
tff(c_8385,plain,
! [A_1034,B_1035,C_1036] :
( relstr_element_smaller(A_1034,B_1035,'#skF_1'(A_1034,B_1035,C_1036))
| element('#skF_2'(A_1034,B_1035,C_1036),the_carrier(A_1034))
| ex_inf_of_relstr_set(A_1034,B_1035)
| ~ relstr_element_smaller(A_1034,B_1035,C_1036)
| ~ element(C_1036,the_carrier(A_1034))
| ~ rel_str(A_1034) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_8389,plain,
! [B_1035,C_1036] :
( related('#skF_8','#skF_2'('#skF_8',B_1035,C_1036),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_1035,C_1036))
| relstr_element_smaller('#skF_8',B_1035,'#skF_1'('#skF_8',B_1035,C_1036))
| ex_inf_of_relstr_set('#skF_8',B_1035)
| ~ relstr_element_smaller('#skF_8',B_1035,C_1036)
| ~ element(C_1036,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_8385,c_8309]) ).
tff(c_8392,plain,
! [B_1035,C_1036] :
( related('#skF_8','#skF_2'('#skF_8',B_1035,C_1036),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_1035,C_1036))
| relstr_element_smaller('#skF_8',B_1035,'#skF_1'('#skF_8',B_1035,C_1036))
| ex_inf_of_relstr_set('#skF_8',B_1035)
| ~ relstr_element_smaller('#skF_8',B_1035,C_1036)
| ~ element(C_1036,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_8389]) ).
tff(c_8533,plain,
! [C_1068] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9',C_1068),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_1068))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_1068),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_1068)
| ~ element(C_1068,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_8531,c_8392]) ).
tff(c_8536,plain,
! [C_1068] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9',C_1068),'#skF_10')
| relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9',C_1068))
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_1068),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_1068)
| ~ element(C_1068,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_8533]) ).
tff(c_8411,plain,
! [A_1046,B_1047,C_1048] :
( element('#skF_1'(A_1046,B_1047,C_1048),the_carrier(A_1046))
| element('#skF_2'(A_1046,B_1047,C_1048),the_carrier(A_1046))
| ex_inf_of_relstr_set(A_1046,B_1047)
| ~ relstr_element_smaller(A_1046,B_1047,C_1048)
| ~ element(C_1048,the_carrier(A_1046))
| ~ rel_str(A_1046) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_8415,plain,
! [B_1047,C_1048] :
( related('#skF_8','#skF_1'('#skF_8',B_1047,C_1048),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_1047,C_1048))
| element('#skF_2'('#skF_8',B_1047,C_1048),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_1047)
| ~ relstr_element_smaller('#skF_8',B_1047,C_1048)
| ~ element(C_1048,the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_8411,c_8309]) ).
tff(c_8547,plain,
! [B_1070,C_1071] :
( related('#skF_8','#skF_1'('#skF_8',B_1070,C_1071),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_1070,C_1071))
| element('#skF_2'('#skF_8',B_1070,C_1071),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_1070)
| ~ relstr_element_smaller('#skF_8',B_1070,C_1071)
| ~ element(C_1071,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_8415]) ).
tff(c_8647,plain,
! [B_1082,C_1083] :
( related('#skF_8','#skF_2'('#skF_8',B_1082,C_1083),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8',B_1082,C_1083))
| related('#skF_8','#skF_1'('#skF_8',B_1082,C_1083),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_1082,C_1083))
| ex_inf_of_relstr_set('#skF_8',B_1082)
| ~ relstr_element_smaller('#skF_8',B_1082,C_1083)
| ~ element(C_1083,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_8547,c_8309]) ).
tff(c_8654,plain,
! [C_1068] :
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_1068))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_1068),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_1068),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_1068)
| ~ element(C_1068,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_8536,c_8647]) ).
tff(c_8680,plain,
! [C_1084] :
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9',C_1084))
| related('#skF_8','#skF_2'('#skF_8','#skF_9',C_1084),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_1084),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_1084)
| ~ element(C_1084,the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_8654]) ).
tff(c_8687,plain,
! [C_1085] :
( related('#skF_8','#skF_2'('#skF_8','#skF_9',C_1085),'#skF_10')
| related('#skF_8','#skF_1'('#skF_8','#skF_9',C_1085),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9',C_1085)
| ~ element(C_1085,the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_8526,c_8680]) ).
tff(c_8693,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_8687,c_26]) ).
tff(c_8709,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(demodulation,[status(thm),theory(equality)],[c_8306,c_8304,c_52,c_8693]) ).
tff(c_8710,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(negUnitSimplification,[status(thm)],[c_99,c_8709]) ).
tff(c_8722,plain,
related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitLeft,[status(thm)],[c_8710]) ).
tff(c_8724,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8')
| ~ antisymmetric_relstr('#skF_8') ),
inference(resolution,[status(thm)],[c_8722,c_88]) ).
tff(c_8727,plain,
( ( '#skF_2'('#skF_8','#skF_9','#skF_10') = '#skF_10' )
| ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#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_8306,c_8724]) ).
tff(c_8728,plain,
( ~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')) ),
inference(negUnitSimplification,[status(thm)],[c_8471,c_8727]) ).
tff(c_8730,plain,
~ element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_8728]) ).
tff(c_8759,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_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_8730]) ).
tff(c_8766,plain,
( relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_8306,c_8304,c_8759]) ).
tff(c_8767,plain,
relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')),
inference(negUnitSimplification,[status(thm)],[c_99,c_8766]) ).
tff(c_8418,plain,
! [B_1047,C_1048] :
( related('#skF_8','#skF_1'('#skF_8',B_1047,C_1048),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8',B_1047,C_1048))
| element('#skF_2'('#skF_8',B_1047,C_1048),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8',B_1047)
| ~ relstr_element_smaller('#skF_8',B_1047,C_1048)
| ~ element(C_1048,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_8415]) ).
tff(c_8756,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_8418,c_8730]) ).
tff(c_8762,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_8306,c_8304,c_8756]) ).
tff(c_8763,plain,
( related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_1'('#skF_8','#skF_9','#skF_10')) ),
inference(negUnitSimplification,[status(thm)],[c_99,c_8762]) ).
tff(c_8795,plain,
related('#skF_8','#skF_1'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_8767,c_8763]) ).
tff(c_8801,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8'))
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_8795,c_32]) ).
tff(c_8817,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_8306,c_8304,c_8801]) ).
tff(c_8819,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_8730,c_8817]) ).
tff(c_8820,plain,
~ related('#skF_8','#skF_10','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_8728]) ).
tff(c_9219,plain,
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_9216,c_8820]) ).
tff(c_9245,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8306,c_8304,c_9219]) ).
tff(c_9247,plain,
! [E_1114] :
( related('#skF_8',E_1114,'#skF_2'('#skF_8','#skF_9','#skF_10'))
| ~ relstr_element_smaller('#skF_8','#skF_9',E_1114)
| ~ element(E_1114,the_carrier('#skF_8')) ),
inference(splitRight,[status(thm)],[c_9171]) ).
tff(c_9250,plain,
( ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_9247,c_8820]) ).
tff(c_9276,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8306,c_8304,c_9250]) ).
tff(c_9278,plain,
~ related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(splitRight,[status(thm)],[c_8710]) ).
tff(c_9277,plain,
relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')),
inference(splitRight,[status(thm)],[c_8710]) ).
tff(c_8696,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ rel_str('#skF_8')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_10')
| ~ element('#skF_10',the_carrier('#skF_8')) ),
inference(resolution,[status(thm)],[c_8687,c_32]) ).
tff(c_8713,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| ex_inf_of_relstr_set('#skF_8','#skF_9')
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(demodulation,[status(thm),theory(equality)],[c_8306,c_8304,c_52,c_8696]) ).
tff(c_8714,plain,
( element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8'))
| related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10') ),
inference(negUnitSimplification,[status(thm)],[c_99,c_8713]) ).
tff(c_9308,plain,
element('#skF_2'('#skF_8','#skF_9','#skF_10'),the_carrier('#skF_8')),
inference(negUnitSimplification,[status(thm)],[c_9278,c_8714]) ).
tff(c_9311,plain,
( related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10')
| ~ relstr_element_smaller('#skF_8','#skF_9','#skF_2'('#skF_8','#skF_9','#skF_10')) ),
inference(resolution,[status(thm)],[c_9308,c_8309]) ).
tff(c_9314,plain,
related('#skF_8','#skF_2'('#skF_8','#skF_9','#skF_10'),'#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_9277,c_9311]) ).
tff(c_9316,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9278,c_9314]) ).
tff(c_9317,plain,
ex_inf_of_relstr_set('#skF_8','#skF_11'),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_9318,plain,
ex_inf_of_relstr_set('#skF_8','#skF_9'),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_64,plain,
! [C_96] :
( ~ ex_inf_of_relstr_set('#skF_8','#skF_9')
| relstr_element_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_element_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_9326,plain,
! [C_96] :
( relstr_element_smaller('#skF_8','#skF_11','#skF_12'(C_96))
| ~ relstr_element_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_9318,c_64]) ).
tff(c_9334,plain,
! [A_1125,D_1126,B_1127] :
( related(A_1125,D_1126,'#skF_3'(A_1125,B_1127))
| ~ relstr_element_smaller(A_1125,B_1127,D_1126)
| ~ element(D_1126,the_carrier(A_1125))
| ~ ex_inf_of_relstr_set(A_1125,B_1127)
| ~ rel_str(A_1125) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_56,plain,
! [C_96] :
( ~ ex_inf_of_relstr_set('#skF_8','#skF_9')
| ~ related('#skF_8','#skF_12'(C_96),C_96)
| ~ relstr_element_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_9332,plain,
! [C_96] :
( ~ related('#skF_8','#skF_12'(C_96),C_96)
| ~ relstr_element_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_9318,c_56]) ).
tff(c_9338,plain,
! [B_1127] :
( ~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_1127))
| ~ element('#skF_3'('#skF_8',B_1127),the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8',B_1127,'#skF_12'('#skF_3'('#skF_8',B_1127)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_1127)),the_carrier('#skF_8'))
| ~ ex_inf_of_relstr_set('#skF_8',B_1127)
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_9334,c_9332]) ).
tff(c_9364,plain,
! [B_1155] :
( ~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8',B_1155))
| ~ element('#skF_3'('#skF_8',B_1155),the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8',B_1155,'#skF_12'('#skF_3'('#skF_8',B_1155)))
| ~ element('#skF_12'('#skF_3'('#skF_8',B_1155)),the_carrier('#skF_8'))
| ~ ex_inf_of_relstr_set('#skF_8',B_1155) ),
inference(demodulation,[status(thm),theory(equality)],[c_52,c_9338]) ).
tff(c_9367,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ relstr_element_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_9326,c_9364]) ).
tff(c_9370,plain,
( ~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8'))
| ~ relstr_element_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_9317,c_9367]) ).
tff(c_9371,plain,
~ element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_9370]) ).
tff(c_9374,plain,
( ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_6,c_9371]) ).
tff(c_9378,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_9317,c_9374]) ).
tff(c_9380,plain,
element('#skF_3'('#skF_8','#skF_11'),the_carrier('#skF_8')),
inference(splitRight,[status(thm)],[c_9370]) ).
tff(c_72,plain,
! [C_96] :
( ~ ex_inf_of_relstr_set('#skF_8','#skF_9')
| element('#skF_12'(C_96),the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_9329,plain,
! [C_96] :
( element('#skF_12'(C_96),the_carrier('#skF_8'))
| ~ relstr_element_smaller('#skF_8','#skF_11',C_96)
| ~ element(C_96,the_carrier('#skF_8')) ),
inference(demodulation,[status(thm),theory(equality)],[c_9318,c_72]) ).
tff(c_9379,plain,
( ~ relstr_element_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_9370]) ).
tff(c_9381,plain,
~ element('#skF_12'('#skF_3'('#skF_8','#skF_11')),the_carrier('#skF_8')),
inference(splitLeft,[status(thm)],[c_9379]) ).
tff(c_9384,plain,
( ~ relstr_element_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_9329,c_9381]) ).
tff(c_9387,plain,
~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(demodulation,[status(thm),theory(equality)],[c_9380,c_9384]) ).
tff(c_9391,plain,
( ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_9387]) ).
tff(c_9395,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_9317,c_9391]) ).
tff(c_9396,plain,
~ relstr_element_smaller('#skF_8','#skF_11','#skF_3'('#skF_8','#skF_11')),
inference(splitRight,[status(thm)],[c_9379]) ).
tff(c_9400,plain,
( ~ ex_inf_of_relstr_set('#skF_8','#skF_11')
| ~ rel_str('#skF_8') ),
inference(resolution,[status(thm)],[c_4,c_9396]) ).
tff(c_9404,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52,c_9317,c_9400]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU357+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % 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
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Aug 3 11:59:23 EDT 2023
% 0.11/0.33 % CPUTime :
% 9.63/3.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.63/3.54
% 9.63/3.54 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 10.46/3.64
% 10.46/3.64 Inference rules
% 10.46/3.64 ----------------------
% 10.46/3.64 #Ref : 0
% 10.46/3.64 #Sup : 1465
% 10.46/3.64 #Fact : 16
% 10.46/3.64 #Define : 0
% 10.46/3.64 #Split : 81
% 10.46/3.64 #Chain : 0
% 10.46/3.64 #Close : 0
% 10.46/3.64
% 10.46/3.64 Ordering : KBO
% 10.46/3.64
% 10.46/3.64 Simplification rules
% 10.46/3.64 ----------------------
% 10.46/3.64 #Subsume : 411
% 10.46/3.64 #Demod : 1668
% 10.46/3.64 #Tautology : 169
% 10.46/3.64 #SimpNegUnit : 583
% 10.46/3.64 #BackRed : 0
% 10.46/3.64
% 10.46/3.64 #Partial instantiations: 0
% 10.46/3.64 #Strategies tried : 1
% 10.46/3.64
% 10.46/3.64 Timing (in seconds)
% 10.46/3.64 ----------------------
% 10.46/3.64 Preprocessing : 0.55
% 10.46/3.64 Parsing : 0.27
% 10.46/3.64 CNF conversion : 0.06
% 10.46/3.64 Main loop : 1.89
% 10.46/3.65 Inferencing : 0.77
% 10.46/3.65 Reduction : 0.56
% 10.46/3.65 Demodulation : 0.39
% 10.46/3.65 BG Simplification : 0.07
% 10.46/3.65 Subsumption : 0.38
% 10.46/3.65 Abstraction : 0.07
% 10.46/3.65 MUC search : 0.00
% 10.46/3.65 Cooper : 0.00
% 10.46/3.65 Total : 2.64
% 10.46/3.65 Index Insertion : 0.00
% 10.46/3.65 Index Deletion : 0.00
% 10.46/3.65 Index Matching : 0.00
% 10.46/3.65 BG Taut test : 0.00
%------------------------------------------------------------------------------