TSTP Solution File: SEU364+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU364+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 : n019.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 10:58:32 EDT 2023
% Result : Theorem 27.19s 11.14s
% Output : CNFRefutation 27.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 40
% Syntax : Number of formulae : 337 ( 70 unt; 38 typ; 0 def)
% Number of atoms : 1499 ( 273 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 2100 ( 900 ~;1166 |; 28 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 60 ( 31 >; 29 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 7 con; 0-4 aty)
% Number of variables : 338 (; 327 !; 11 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ relstr_set_smaller > in > element > transitive_relstr > rel_str > one_sorted_str > finite > empty_carrier > empty > #nlpp > the_carrier > powerset > #skF_9 > #skF_7 > #skF_24 > #skF_5 > #skF_17 > #skF_4 > #skF_27 > #skF_15 > #skF_18 > #skF_22 > #skF_10 > #skF_16 > #skF_25 > #skF_23 > #skF_26 > #skF_19 > #skF_2 > #skF_3 > #skF_1 > #skF_20 > #skF_8 > #skF_13 > #skF_11 > #skF_14 > #skF_12 > #skF_21 > #skF_6
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(empty_carrier,type,
empty_carrier: $i > $o ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(the_carrier,type,
the_carrier: $i > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i ) > $i ).
tff(relstr_set_smaller,type,
relstr_set_smaller: ( $i * $i * $i ) > $o ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(finite,type,
finite: $i > $o ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i ) > $i ).
tff(one_sorted_str,type,
one_sorted_str: $i > $o ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(transitive_relstr,type,
transitive_relstr: $i > $o ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(empty,type,
empty: $i > $o ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(rel_str,type,
rel_str: $i > $o ).
tff(powerset,type,
powerset: $i > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(f_56,negated_conjecture,
~ ! [A,B,C] :
( ( ~ empty_carrier(A)
& transitive_relstr(A)
& rel_str(A)
& element(B,powerset(the_carrier(A)))
& finite(C)
& element(C,powerset(B)) )
=> ? [D] :
! [E] :
( in(E,D)
<=> ( in(E,powerset(C))
& ? [F] :
( ( F = E )
& ? [G] :
( element(G,the_carrier(A))
& in(G,B)
& relstr_set_smaller(A,F,G) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e11_2_1__waybel_0__1) ).
tff(f_209,axiom,
! [A,B,C] :
( ( ~ empty_carrier(A)
& transitive_relstr(A)
& rel_str(A)
& element(B,powerset(the_carrier(A)))
& finite(C)
& element(C,powerset(B)) )
=> ( ! [D,E,F] :
( ( ( D = E )
& ? [G] :
( ( G = E )
& ? [H] :
( element(H,the_carrier(A))
& in(H,B)
& relstr_set_smaller(A,G,H) ) )
& ( D = F )
& ? [I] :
( ( I = F )
& ? [J] :
( element(J,the_carrier(A))
& in(J,B)
& relstr_set_smaller(A,I,J) ) ) )
=> ( E = F ) )
=> ? [D] :
! [E] :
( in(E,D)
<=> ? [F] :
( in(F,powerset(C))
& ( F = E )
& ? [K] :
( ( K = E )
& ? [L] :
( element(L,the_carrier(A))
& in(L,B)
& relstr_set_smaller(A,K,L) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e11_2_1__waybel_0__1) ).
tff(c_12,plain,
~ empty_carrier('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_10,plain,
transitive_relstr('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_8,plain,
rel_str('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_6,plain,
element('#skF_2',powerset(the_carrier('#skF_1'))),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_4,plain,
finite('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_2,plain,
element('#skF_3',powerset('#skF_2')),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_30,plain,
! [D_28] :
( in('#skF_6'(D_28),'#skF_2')
| in('#skF_7'(D_28),D_28) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_34,plain,
! [D_28] :
( ( '#skF_5'(D_28) = '#skF_4'(D_28) )
| in('#skF_7'(D_28),D_28) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_349,plain,
! [A_258,B_259,C_260,E_261] :
( in('#skF_21'(A_258,B_259,C_260),B_259)
| ( '#skF_25'(A_258,B_259,C_260,E_261) = E_261 )
| ~ in(E_261,'#skF_24'(A_258,B_259,C_260))
| ~ element(C_260,powerset(B_259))
| ~ finite(C_260)
| ~ element(B_259,powerset(the_carrier(A_258)))
| ~ rel_str(A_258)
| ~ transitive_relstr(A_258)
| empty_carrier(A_258) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_9600,plain,
! [A_1066,B_1067,C_1068] :
( in('#skF_21'(A_1066,B_1067,C_1068),B_1067)
| ( '#skF_25'(A_1066,B_1067,C_1068,'#skF_7'('#skF_24'(A_1066,B_1067,C_1068))) = '#skF_7'('#skF_24'(A_1066,B_1067,C_1068)) )
| ~ element(C_1068,powerset(B_1067))
| ~ finite(C_1068)
| ~ element(B_1067,powerset(the_carrier(A_1066)))
| ~ rel_str(A_1066)
| ~ transitive_relstr(A_1066)
| empty_carrier(A_1066)
| ( '#skF_5'('#skF_24'(A_1066,B_1067,C_1068)) = '#skF_4'('#skF_24'(A_1066,B_1067,C_1068)) ) ),
inference(resolution,[status(thm)],[c_34,c_349]) ).
tff(c_9616,plain,
! [C_1068] :
( in('#skF_21'('#skF_1','#skF_2',C_1068),'#skF_2')
| ( '#skF_25'('#skF_1','#skF_2',C_1068,'#skF_7'('#skF_24'('#skF_1','#skF_2',C_1068))) = '#skF_7'('#skF_24'('#skF_1','#skF_2',C_1068)) )
| ~ element(C_1068,powerset('#skF_2'))
| ~ finite(C_1068)
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1')
| ( '#skF_5'('#skF_24'('#skF_1','#skF_2',C_1068)) = '#skF_4'('#skF_24'('#skF_1','#skF_2',C_1068)) ) ),
inference(resolution,[status(thm)],[c_6,c_9600]) ).
tff(c_9624,plain,
! [C_1068] :
( in('#skF_21'('#skF_1','#skF_2',C_1068),'#skF_2')
| ( '#skF_25'('#skF_1','#skF_2',C_1068,'#skF_7'('#skF_24'('#skF_1','#skF_2',C_1068))) = '#skF_7'('#skF_24'('#skF_1','#skF_2',C_1068)) )
| ~ element(C_1068,powerset('#skF_2'))
| ~ finite(C_1068)
| empty_carrier('#skF_1')
| ( '#skF_5'('#skF_24'('#skF_1','#skF_2',C_1068)) = '#skF_4'('#skF_24'('#skF_1','#skF_2',C_1068)) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_9616]) ).
tff(c_9626,plain,
! [C_1069] :
( in('#skF_21'('#skF_1','#skF_2',C_1069),'#skF_2')
| ( '#skF_25'('#skF_1','#skF_2',C_1069,'#skF_7'('#skF_24'('#skF_1','#skF_2',C_1069))) = '#skF_7'('#skF_24'('#skF_1','#skF_2',C_1069)) )
| ~ element(C_1069,powerset('#skF_2'))
| ~ finite(C_1069)
| ( '#skF_5'('#skF_24'('#skF_1','#skF_2',C_1069)) = '#skF_4'('#skF_24'('#skF_1','#skF_2',C_1069)) ) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_9624]) ).
tff(c_218,plain,
! [A_71,B_72,C_73,E_185] :
( in('#skF_21'(A_71,B_72,C_73),B_72)
| in('#skF_25'(A_71,B_72,C_73,E_185),powerset(C_73))
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_9749,plain,
! [C_1069] :
( in('#skF_21'('#skF_1','#skF_2',C_1069),'#skF_2')
| in('#skF_7'('#skF_24'('#skF_1','#skF_2',C_1069)),powerset(C_1069))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2',C_1069)),'#skF_24'('#skF_1','#skF_2',C_1069))
| ~ element(C_1069,powerset('#skF_2'))
| ~ finite(C_1069)
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1')
| in('#skF_21'('#skF_1','#skF_2',C_1069),'#skF_2')
| ~ element(C_1069,powerset('#skF_2'))
| ~ finite(C_1069)
| ( '#skF_5'('#skF_24'('#skF_1','#skF_2',C_1069)) = '#skF_4'('#skF_24'('#skF_1','#skF_2',C_1069)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_9626,c_218]) ).
tff(c_9989,plain,
! [C_1069] :
( in('#skF_7'('#skF_24'('#skF_1','#skF_2',C_1069)),powerset(C_1069))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2',C_1069)),'#skF_24'('#skF_1','#skF_2',C_1069))
| empty_carrier('#skF_1')
| in('#skF_21'('#skF_1','#skF_2',C_1069),'#skF_2')
| ~ element(C_1069,powerset('#skF_2'))
| ~ finite(C_1069)
| ( '#skF_5'('#skF_24'('#skF_1','#skF_2',C_1069)) = '#skF_4'('#skF_24'('#skF_1','#skF_2',C_1069)) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_9749]) ).
tff(c_9990,plain,
! [C_1069] :
( in('#skF_7'('#skF_24'('#skF_1','#skF_2',C_1069)),powerset(C_1069))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2',C_1069)),'#skF_24'('#skF_1','#skF_2',C_1069))
| in('#skF_21'('#skF_1','#skF_2',C_1069),'#skF_2')
| ~ element(C_1069,powerset('#skF_2'))
| ~ finite(C_1069)
| ( '#skF_5'('#skF_24'('#skF_1','#skF_2',C_1069)) = '#skF_4'('#skF_24'('#skF_1','#skF_2',C_1069)) ) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_9989]) ).
tff(c_476,plain,
! [A_285,B_286,C_287,E_288] :
( in('#skF_21'(A_285,B_286,C_287),B_286)
| in('#skF_27'(A_285,B_286,C_287,E_288),B_286)
| ~ in(E_288,'#skF_24'(A_285,B_286,C_287))
| ~ element(C_287,powerset(B_286))
| ~ finite(C_287)
| ~ element(B_286,powerset(the_carrier(A_285)))
| ~ rel_str(A_285)
| ~ transitive_relstr(A_285)
| empty_carrier(A_285) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_492,plain,
! [C_287,E_288] :
( in('#skF_21'('#skF_1','#skF_2',C_287),'#skF_2')
| in('#skF_27'('#skF_1','#skF_2',C_287,E_288),'#skF_2')
| ~ in(E_288,'#skF_24'('#skF_1','#skF_2',C_287))
| ~ element(C_287,powerset('#skF_2'))
| ~ finite(C_287)
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_6,c_476]) ).
tff(c_500,plain,
! [C_287,E_288] :
( in('#skF_21'('#skF_1','#skF_2',C_287),'#skF_2')
| in('#skF_27'('#skF_1','#skF_2',C_287,E_288),'#skF_2')
| ~ in(E_288,'#skF_24'('#skF_1','#skF_2',C_287))
| ~ element(C_287,powerset('#skF_2'))
| ~ finite(C_287)
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_492]) ).
tff(c_501,plain,
! [C_287,E_288] :
( in('#skF_21'('#skF_1','#skF_2',C_287),'#skF_2')
| in('#skF_27'('#skF_1','#skF_2',C_287,E_288),'#skF_2')
| ~ in(E_288,'#skF_24'('#skF_1','#skF_2',C_287))
| ~ element(C_287,powerset('#skF_2'))
| ~ finite(C_287) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_500]) ).
tff(c_152,plain,
! [A_71,B_72,C_73,E_185] :
( in('#skF_21'(A_71,B_72,C_73),B_72)
| element('#skF_27'(A_71,B_72,C_73,E_185),the_carrier(A_71))
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_412,plain,
! [A_270,B_271,C_272,E_273] :
( in('#skF_21'(A_270,B_271,C_272),B_271)
| ( '#skF_26'(A_270,B_271,C_272,E_273) = E_273 )
| ~ in(E_273,'#skF_24'(A_270,B_271,C_272))
| ~ element(C_272,powerset(B_271))
| ~ finite(C_272)
| ~ element(B_271,powerset(the_carrier(A_270)))
| ~ rel_str(A_270)
| ~ transitive_relstr(A_270)
| empty_carrier(A_270) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_10347,plain,
! [A_1076,B_1077,C_1078] :
( in('#skF_21'(A_1076,B_1077,C_1078),B_1077)
| ( '#skF_26'(A_1076,B_1077,C_1078,'#skF_7'('#skF_24'(A_1076,B_1077,C_1078))) = '#skF_7'('#skF_24'(A_1076,B_1077,C_1078)) )
| ~ element(C_1078,powerset(B_1077))
| ~ finite(C_1078)
| ~ element(B_1077,powerset(the_carrier(A_1076)))
| ~ rel_str(A_1076)
| ~ transitive_relstr(A_1076)
| empty_carrier(A_1076)
| ( '#skF_5'('#skF_24'(A_1076,B_1077,C_1078)) = '#skF_4'('#skF_24'(A_1076,B_1077,C_1078)) ) ),
inference(resolution,[status(thm)],[c_34,c_412]) ).
tff(c_10363,plain,
! [C_1078] :
( in('#skF_21'('#skF_1','#skF_2',C_1078),'#skF_2')
| ( '#skF_26'('#skF_1','#skF_2',C_1078,'#skF_7'('#skF_24'('#skF_1','#skF_2',C_1078))) = '#skF_7'('#skF_24'('#skF_1','#skF_2',C_1078)) )
| ~ element(C_1078,powerset('#skF_2'))
| ~ finite(C_1078)
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1')
| ( '#skF_5'('#skF_24'('#skF_1','#skF_2',C_1078)) = '#skF_4'('#skF_24'('#skF_1','#skF_2',C_1078)) ) ),
inference(resolution,[status(thm)],[c_6,c_10347]) ).
tff(c_10371,plain,
! [C_1078] :
( in('#skF_21'('#skF_1','#skF_2',C_1078),'#skF_2')
| ( '#skF_26'('#skF_1','#skF_2',C_1078,'#skF_7'('#skF_24'('#skF_1','#skF_2',C_1078))) = '#skF_7'('#skF_24'('#skF_1','#skF_2',C_1078)) )
| ~ element(C_1078,powerset('#skF_2'))
| ~ finite(C_1078)
| empty_carrier('#skF_1')
| ( '#skF_5'('#skF_24'('#skF_1','#skF_2',C_1078)) = '#skF_4'('#skF_24'('#skF_1','#skF_2',C_1078)) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_10363]) ).
tff(c_10373,plain,
! [C_1079] :
( in('#skF_21'('#skF_1','#skF_2',C_1079),'#skF_2')
| ( '#skF_26'('#skF_1','#skF_2',C_1079,'#skF_7'('#skF_24'('#skF_1','#skF_2',C_1079))) = '#skF_7'('#skF_24'('#skF_1','#skF_2',C_1079)) )
| ~ element(C_1079,powerset('#skF_2'))
| ~ finite(C_1079)
| ( '#skF_5'('#skF_24'('#skF_1','#skF_2',C_1079)) = '#skF_4'('#skF_24'('#skF_1','#skF_2',C_1079)) ) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_10371]) ).
tff(c_108,plain,
! [A_71,B_72,C_73,E_185] :
( in('#skF_21'(A_71,B_72,C_73),B_72)
| relstr_set_smaller(A_71,'#skF_26'(A_71,B_72,C_73,E_185),'#skF_27'(A_71,B_72,C_73,E_185))
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_10466,plain,
! [C_1079] :
( in('#skF_21'('#skF_1','#skF_2',C_1079),'#skF_2')
| relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2',C_1079)),'#skF_27'('#skF_1','#skF_2',C_1079,'#skF_7'('#skF_24'('#skF_1','#skF_2',C_1079))))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2',C_1079)),'#skF_24'('#skF_1','#skF_2',C_1079))
| ~ element(C_1079,powerset('#skF_2'))
| ~ finite(C_1079)
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1')
| in('#skF_21'('#skF_1','#skF_2',C_1079),'#skF_2')
| ~ element(C_1079,powerset('#skF_2'))
| ~ finite(C_1079)
| ( '#skF_5'('#skF_24'('#skF_1','#skF_2',C_1079)) = '#skF_4'('#skF_24'('#skF_1','#skF_2',C_1079)) ) ),
inference(superposition,[status(thm),theory(equality)],[c_10373,c_108]) ).
tff(c_10697,plain,
! [C_1079] :
( relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2',C_1079)),'#skF_27'('#skF_1','#skF_2',C_1079,'#skF_7'('#skF_24'('#skF_1','#skF_2',C_1079))))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2',C_1079)),'#skF_24'('#skF_1','#skF_2',C_1079))
| empty_carrier('#skF_1')
| in('#skF_21'('#skF_1','#skF_2',C_1079),'#skF_2')
| ~ element(C_1079,powerset('#skF_2'))
| ~ finite(C_1079)
| ( '#skF_5'('#skF_24'('#skF_1','#skF_2',C_1079)) = '#skF_4'('#skF_24'('#skF_1','#skF_2',C_1079)) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_10466]) ).
tff(c_15031,plain,
! [C_1246] :
( relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2',C_1246)),'#skF_27'('#skF_1','#skF_2',C_1246,'#skF_7'('#skF_24'('#skF_1','#skF_2',C_1246))))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2',C_1246)),'#skF_24'('#skF_1','#skF_2',C_1246))
| in('#skF_21'('#skF_1','#skF_2',C_1246),'#skF_2')
| ~ element(C_1246,powerset('#skF_2'))
| ~ finite(C_1246)
| ( '#skF_5'('#skF_24'('#skF_1','#skF_2',C_1246)) = '#skF_4'('#skF_24'('#skF_1','#skF_2',C_1246)) ) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_10697]) ).
tff(c_22,plain,
! [D_28,G_51] :
( ( '#skF_5'(D_28) = '#skF_4'(D_28) )
| ~ relstr_set_smaller('#skF_1','#skF_7'(D_28),G_51)
| ~ in(G_51,'#skF_2')
| ~ element(G_51,the_carrier('#skF_1'))
| ~ in('#skF_7'(D_28),powerset('#skF_3')) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_35039,plain,
! [C_1558] :
( ~ in('#skF_27'('#skF_1','#skF_2',C_1558,'#skF_7'('#skF_24'('#skF_1','#skF_2',C_1558))),'#skF_2')
| ~ element('#skF_27'('#skF_1','#skF_2',C_1558,'#skF_7'('#skF_24'('#skF_1','#skF_2',C_1558))),the_carrier('#skF_1'))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2',C_1558)),powerset('#skF_3'))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2',C_1558)),'#skF_24'('#skF_1','#skF_2',C_1558))
| in('#skF_21'('#skF_1','#skF_2',C_1558),'#skF_2')
| ~ element(C_1558,powerset('#skF_2'))
| ~ finite(C_1558)
| ( '#skF_5'('#skF_24'('#skF_1','#skF_2',C_1558)) = '#skF_4'('#skF_24'('#skF_1','#skF_2',C_1558)) ) ),
inference(resolution,[status(thm)],[c_15031,c_22]) ).
tff(c_35079,plain,
! [C_73] :
( ~ in('#skF_27'('#skF_1','#skF_2',C_73,'#skF_7'('#skF_24'('#skF_1','#skF_2',C_73))),'#skF_2')
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2',C_73)),powerset('#skF_3'))
| ( '#skF_5'('#skF_24'('#skF_1','#skF_2',C_73)) = '#skF_4'('#skF_24'('#skF_1','#skF_2',C_73)) )
| in('#skF_21'('#skF_1','#skF_2',C_73),'#skF_2')
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2',C_73)),'#skF_24'('#skF_1','#skF_2',C_73))
| ~ element(C_73,powerset('#skF_2'))
| ~ finite(C_73)
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_152,c_35039]) ).
tff(c_35122,plain,
! [C_73] :
( ~ in('#skF_27'('#skF_1','#skF_2',C_73,'#skF_7'('#skF_24'('#skF_1','#skF_2',C_73))),'#skF_2')
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2',C_73)),powerset('#skF_3'))
| ( '#skF_5'('#skF_24'('#skF_1','#skF_2',C_73)) = '#skF_4'('#skF_24'('#skF_1','#skF_2',C_73)) )
| in('#skF_21'('#skF_1','#skF_2',C_73),'#skF_2')
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2',C_73)),'#skF_24'('#skF_1','#skF_2',C_73))
| ~ element(C_73,powerset('#skF_2'))
| ~ finite(C_73)
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_35079]) ).
tff(c_35128,plain,
! [C_1559] :
( ~ in('#skF_27'('#skF_1','#skF_2',C_1559,'#skF_7'('#skF_24'('#skF_1','#skF_2',C_1559))),'#skF_2')
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2',C_1559)),powerset('#skF_3'))
| ( '#skF_5'('#skF_24'('#skF_1','#skF_2',C_1559)) = '#skF_4'('#skF_24'('#skF_1','#skF_2',C_1559)) )
| in('#skF_21'('#skF_1','#skF_2',C_1559),'#skF_2')
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2',C_1559)),'#skF_24'('#skF_1','#skF_2',C_1559))
| ~ element(C_1559,powerset('#skF_2'))
| ~ finite(C_1559) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_35122]) ).
tff(c_35196,plain,
! [C_1560] :
( ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2',C_1560)),powerset('#skF_3'))
| ( '#skF_5'('#skF_24'('#skF_1','#skF_2',C_1560)) = '#skF_4'('#skF_24'('#skF_1','#skF_2',C_1560)) )
| in('#skF_21'('#skF_1','#skF_2',C_1560),'#skF_2')
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2',C_1560)),'#skF_24'('#skF_1','#skF_2',C_1560))
| ~ element(C_1560,powerset('#skF_2'))
| ~ finite(C_1560) ),
inference(resolution,[status(thm)],[c_501,c_35128]) ).
tff(c_35214,plain,
( ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3'))
| in('#skF_21'('#skF_1','#skF_2','#skF_3'),'#skF_2')
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ( '#skF_5'('#skF_24'('#skF_1','#skF_2','#skF_3')) = '#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')) ) ),
inference(resolution,[status(thm)],[c_9990,c_35196]) ).
tff(c_35235,plain,
( ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3'))
| in('#skF_21'('#skF_1','#skF_2','#skF_3'),'#skF_2')
| ( '#skF_5'('#skF_24'('#skF_1','#skF_2','#skF_3')) = '#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_35214]) ).
tff(c_35239,plain,
~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3')),
inference(splitLeft,[status(thm)],[c_35235]) ).
tff(c_35258,plain,
in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_2'),
inference(resolution,[status(thm)],[c_30,c_35239]) ).
tff(c_36,plain,
! [D_28] :
( in('#skF_4'(D_28),powerset('#skF_3'))
| in('#skF_7'(D_28),D_28) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_35255,plain,
in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3')),
inference(resolution,[status(thm)],[c_36,c_35239]) ).
tff(c_32,plain,
! [D_28] :
( element('#skF_6'(D_28),the_carrier('#skF_1'))
| in('#skF_7'(D_28),D_28) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_35256,plain,
element('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),the_carrier('#skF_1')),
inference(resolution,[status(thm)],[c_32,c_35239]) ).
tff(c_35257,plain,
'#skF_5'('#skF_24'('#skF_1','#skF_2','#skF_3')) = '#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),
inference(resolution,[status(thm)],[c_34,c_35239]) ).
tff(c_28,plain,
! [D_28] :
( relstr_set_smaller('#skF_1','#skF_5'(D_28),'#skF_6'(D_28))
| in('#skF_7'(D_28),D_28) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_3534,plain,
! [L_790,K_787,B_789,A_788,C_791] :
( ( '#skF_17'(A_788,B_789,C_791) = '#skF_18'(A_788,B_789,C_791) )
| in(K_787,'#skF_24'(A_788,B_789,C_791))
| ~ relstr_set_smaller(A_788,K_787,L_790)
| ~ in(L_790,B_789)
| ~ element(L_790,the_carrier(A_788))
| ~ in(K_787,powerset(C_791))
| ~ element(C_791,powerset(B_789))
| ~ finite(C_791)
| ~ element(B_789,powerset(the_carrier(A_788)))
| ~ rel_str(A_788)
| ~ transitive_relstr(A_788)
| empty_carrier(A_788) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_3572,plain,
! [B_789,C_791,D_28] :
( ( '#skF_17'('#skF_1',B_789,C_791) = '#skF_18'('#skF_1',B_789,C_791) )
| in('#skF_5'(D_28),'#skF_24'('#skF_1',B_789,C_791))
| ~ in('#skF_6'(D_28),B_789)
| ~ element('#skF_6'(D_28),the_carrier('#skF_1'))
| ~ in('#skF_5'(D_28),powerset(C_791))
| ~ element(C_791,powerset(B_789))
| ~ finite(C_791)
| ~ element(B_789,powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1')
| in('#skF_7'(D_28),D_28) ),
inference(resolution,[status(thm)],[c_28,c_3534]) ).
tff(c_3593,plain,
! [B_789,C_791,D_28] :
( ( '#skF_17'('#skF_1',B_789,C_791) = '#skF_18'('#skF_1',B_789,C_791) )
| in('#skF_5'(D_28),'#skF_24'('#skF_1',B_789,C_791))
| ~ in('#skF_6'(D_28),B_789)
| ~ element('#skF_6'(D_28),the_carrier('#skF_1'))
| ~ in('#skF_5'(D_28),powerset(C_791))
| ~ element(C_791,powerset(B_789))
| ~ finite(C_791)
| ~ element(B_789,powerset(the_carrier('#skF_1')))
| empty_carrier('#skF_1')
| in('#skF_7'(D_28),D_28) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_3572]) ).
tff(c_3594,plain,
! [B_789,C_791,D_28] :
( ( '#skF_17'('#skF_1',B_789,C_791) = '#skF_18'('#skF_1',B_789,C_791) )
| in('#skF_5'(D_28),'#skF_24'('#skF_1',B_789,C_791))
| ~ in('#skF_6'(D_28),B_789)
| ~ element('#skF_6'(D_28),the_carrier('#skF_1'))
| ~ in('#skF_5'(D_28),powerset(C_791))
| ~ element(C_791,powerset(B_789))
| ~ finite(C_791)
| ~ element(B_789,powerset(the_carrier('#skF_1')))
| in('#skF_7'(D_28),D_28) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_3593]) ).
tff(c_35281,plain,
! [B_789,C_791] :
( ( '#skF_17'('#skF_1',B_789,C_791) = '#skF_18'('#skF_1',B_789,C_791) )
| in('#skF_5'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_789,C_791))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_789)
| ~ element('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),the_carrier('#skF_1'))
| ~ in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset(C_791))
| ~ element(C_791,powerset(B_789))
| ~ finite(C_791)
| ~ element(B_789,powerset(the_carrier('#skF_1')))
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3')) ),
inference(superposition,[status(thm),theory(equality)],[c_35257,c_3594]) ).
tff(c_35314,plain,
! [B_789,C_791] :
( ( '#skF_17'('#skF_1',B_789,C_791) = '#skF_18'('#skF_1',B_789,C_791) )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_789,C_791))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_789)
| ~ in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset(C_791))
| ~ element(C_791,powerset(B_789))
| ~ finite(C_791)
| ~ element(B_789,powerset(the_carrier('#skF_1')))
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3')) ),
inference(demodulation,[status(thm),theory(equality)],[c_35256,c_35257,c_35281]) ).
tff(c_38780,plain,
! [B_1683,C_1684] :
( ( '#skF_17'('#skF_1',B_1683,C_1684) = '#skF_18'('#skF_1',B_1683,C_1684) )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_1683,C_1684))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_1683)
| ~ in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset(C_1684))
| ~ element(C_1684,powerset(B_1683))
| ~ finite(C_1684)
| ~ element(B_1683,powerset(the_carrier('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_35239,c_35314]) ).
tff(c_38782,plain,
! [B_1683] :
( ( '#skF_17'('#skF_1',B_1683,'#skF_3') = '#skF_18'('#skF_1',B_1683,'#skF_3') )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_1683,'#skF_3'))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_1683)
| ~ element('#skF_3',powerset(B_1683))
| ~ finite('#skF_3')
| ~ element(B_1683,powerset(the_carrier('#skF_1'))) ),
inference(resolution,[status(thm)],[c_35255,c_38780]) ).
tff(c_38941,plain,
! [B_1685] :
( ( '#skF_17'('#skF_1',B_1685,'#skF_3') = '#skF_18'('#skF_1',B_1685,'#skF_3') )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_1685,'#skF_3'))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_1685)
| ~ element('#skF_3',powerset(B_1685))
| ~ element(B_1685,powerset(the_carrier('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_38782]) ).
tff(c_26,plain,
! [D_28] :
( ~ in('#skF_4'(D_28),D_28)
| in('#skF_7'(D_28),D_28) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_35259,plain,
~ in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3')),
inference(resolution,[status(thm)],[c_26,c_35239]) ).
tff(c_38944,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3') )
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_2')
| ~ element('#skF_3',powerset('#skF_2'))
| ~ element('#skF_2',powerset(the_carrier('#skF_1'))) ),
inference(resolution,[status(thm)],[c_38941,c_35259]) ).
tff(c_39084,plain,
'#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2,c_35258,c_38944]) ).
tff(c_3739,plain,
! [A_820,K_819,B_821,C_823,L_822] :
( ( '#skF_17'(A_820,B_821,C_823) = '#skF_19'(A_820,B_821,C_823) )
| in(K_819,'#skF_24'(A_820,B_821,C_823))
| ~ relstr_set_smaller(A_820,K_819,L_822)
| ~ in(L_822,B_821)
| ~ element(L_822,the_carrier(A_820))
| ~ in(K_819,powerset(C_823))
| ~ element(C_823,powerset(B_821))
| ~ finite(C_823)
| ~ element(B_821,powerset(the_carrier(A_820)))
| ~ rel_str(A_820)
| ~ transitive_relstr(A_820)
| empty_carrier(A_820) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_3777,plain,
! [B_821,C_823,D_28] :
( ( '#skF_17'('#skF_1',B_821,C_823) = '#skF_19'('#skF_1',B_821,C_823) )
| in('#skF_5'(D_28),'#skF_24'('#skF_1',B_821,C_823))
| ~ in('#skF_6'(D_28),B_821)
| ~ element('#skF_6'(D_28),the_carrier('#skF_1'))
| ~ in('#skF_5'(D_28),powerset(C_823))
| ~ element(C_823,powerset(B_821))
| ~ finite(C_823)
| ~ element(B_821,powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1')
| in('#skF_7'(D_28),D_28) ),
inference(resolution,[status(thm)],[c_28,c_3739]) ).
tff(c_3798,plain,
! [B_821,C_823,D_28] :
( ( '#skF_17'('#skF_1',B_821,C_823) = '#skF_19'('#skF_1',B_821,C_823) )
| in('#skF_5'(D_28),'#skF_24'('#skF_1',B_821,C_823))
| ~ in('#skF_6'(D_28),B_821)
| ~ element('#skF_6'(D_28),the_carrier('#skF_1'))
| ~ in('#skF_5'(D_28),powerset(C_823))
| ~ element(C_823,powerset(B_821))
| ~ finite(C_823)
| ~ element(B_821,powerset(the_carrier('#skF_1')))
| empty_carrier('#skF_1')
| in('#skF_7'(D_28),D_28) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_3777]) ).
tff(c_3799,plain,
! [B_821,C_823,D_28] :
( ( '#skF_17'('#skF_1',B_821,C_823) = '#skF_19'('#skF_1',B_821,C_823) )
| in('#skF_5'(D_28),'#skF_24'('#skF_1',B_821,C_823))
| ~ in('#skF_6'(D_28),B_821)
| ~ element('#skF_6'(D_28),the_carrier('#skF_1'))
| ~ in('#skF_5'(D_28),powerset(C_823))
| ~ element(C_823,powerset(B_821))
| ~ finite(C_823)
| ~ element(B_821,powerset(the_carrier('#skF_1')))
| in('#skF_7'(D_28),D_28) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_3798]) ).
tff(c_35279,plain,
! [B_821,C_823] :
( ( '#skF_17'('#skF_1',B_821,C_823) = '#skF_19'('#skF_1',B_821,C_823) )
| in('#skF_5'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_821,C_823))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_821)
| ~ element('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),the_carrier('#skF_1'))
| ~ in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset(C_823))
| ~ element(C_823,powerset(B_821))
| ~ finite(C_823)
| ~ element(B_821,powerset(the_carrier('#skF_1')))
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3')) ),
inference(superposition,[status(thm),theory(equality)],[c_35257,c_3799]) ).
tff(c_35311,plain,
! [B_821,C_823] :
( ( '#skF_17'('#skF_1',B_821,C_823) = '#skF_19'('#skF_1',B_821,C_823) )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_821,C_823))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_821)
| ~ in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset(C_823))
| ~ element(C_823,powerset(B_821))
| ~ finite(C_823)
| ~ element(B_821,powerset(the_carrier('#skF_1')))
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3')) ),
inference(demodulation,[status(thm),theory(equality)],[c_35256,c_35257,c_35279]) ).
tff(c_40908,plain,
! [B_1759,C_1760] :
( ( '#skF_17'('#skF_1',B_1759,C_1760) = '#skF_19'('#skF_1',B_1759,C_1760) )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_1759,C_1760))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_1759)
| ~ in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset(C_1760))
| ~ element(C_1760,powerset(B_1759))
| ~ finite(C_1760)
| ~ element(B_1759,powerset(the_carrier('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_35239,c_35311]) ).
tff(c_40910,plain,
! [B_1759] :
( ( '#skF_17'('#skF_1',B_1759,'#skF_3') = '#skF_19'('#skF_1',B_1759,'#skF_3') )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_1759,'#skF_3'))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_1759)
| ~ element('#skF_3',powerset(B_1759))
| ~ finite('#skF_3')
| ~ element(B_1759,powerset(the_carrier('#skF_1'))) ),
inference(resolution,[status(thm)],[c_35255,c_40908]) ).
tff(c_41069,plain,
! [B_1761] :
( ( '#skF_17'('#skF_1',B_1761,'#skF_3') = '#skF_19'('#skF_1',B_1761,'#skF_3') )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_1761,'#skF_3'))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_1761)
| ~ element('#skF_3',powerset(B_1761))
| ~ element(B_1761,powerset(the_carrier('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_40910]) ).
tff(c_41072,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3') )
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_2')
| ~ element('#skF_3',powerset('#skF_2'))
| ~ element('#skF_2',powerset(the_carrier('#skF_1'))) ),
inference(resolution,[status(thm)],[c_41069,c_35259]) ).
tff(c_41212,plain,
'#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2,c_35258,c_39084,c_41072]) ).
tff(c_4075,plain,
! [L_867,B_866,A_865,K_864,C_868] :
( ( '#skF_18'(A_865,B_866,C_868) != '#skF_19'(A_865,B_866,C_868) )
| in(K_864,'#skF_24'(A_865,B_866,C_868))
| ~ relstr_set_smaller(A_865,K_864,L_867)
| ~ in(L_867,B_866)
| ~ element(L_867,the_carrier(A_865))
| ~ in(K_864,powerset(C_868))
| ~ element(C_868,powerset(B_866))
| ~ finite(C_868)
| ~ element(B_866,powerset(the_carrier(A_865)))
| ~ rel_str(A_865)
| ~ transitive_relstr(A_865)
| empty_carrier(A_865) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_4113,plain,
! [B_866,C_868,D_28] :
( ( '#skF_18'('#skF_1',B_866,C_868) != '#skF_19'('#skF_1',B_866,C_868) )
| in('#skF_5'(D_28),'#skF_24'('#skF_1',B_866,C_868))
| ~ in('#skF_6'(D_28),B_866)
| ~ element('#skF_6'(D_28),the_carrier('#skF_1'))
| ~ in('#skF_5'(D_28),powerset(C_868))
| ~ element(C_868,powerset(B_866))
| ~ finite(C_868)
| ~ element(B_866,powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1')
| in('#skF_7'(D_28),D_28) ),
inference(resolution,[status(thm)],[c_28,c_4075]) ).
tff(c_4134,plain,
! [B_866,C_868,D_28] :
( ( '#skF_18'('#skF_1',B_866,C_868) != '#skF_19'('#skF_1',B_866,C_868) )
| in('#skF_5'(D_28),'#skF_24'('#skF_1',B_866,C_868))
| ~ in('#skF_6'(D_28),B_866)
| ~ element('#skF_6'(D_28),the_carrier('#skF_1'))
| ~ in('#skF_5'(D_28),powerset(C_868))
| ~ element(C_868,powerset(B_866))
| ~ finite(C_868)
| ~ element(B_866,powerset(the_carrier('#skF_1')))
| empty_carrier('#skF_1')
| in('#skF_7'(D_28),D_28) ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_4113]) ).
tff(c_4135,plain,
! [B_866,C_868,D_28] :
( ( '#skF_18'('#skF_1',B_866,C_868) != '#skF_19'('#skF_1',B_866,C_868) )
| in('#skF_5'(D_28),'#skF_24'('#skF_1',B_866,C_868))
| ~ in('#skF_6'(D_28),B_866)
| ~ element('#skF_6'(D_28),the_carrier('#skF_1'))
| ~ in('#skF_5'(D_28),powerset(C_868))
| ~ element(C_868,powerset(B_866))
| ~ finite(C_868)
| ~ element(B_866,powerset(the_carrier('#skF_1')))
| in('#skF_7'(D_28),D_28) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_4134]) ).
tff(c_35273,plain,
! [B_866,C_868] :
( ( '#skF_18'('#skF_1',B_866,C_868) != '#skF_19'('#skF_1',B_866,C_868) )
| in('#skF_5'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_866,C_868))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_866)
| ~ element('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),the_carrier('#skF_1'))
| ~ in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset(C_868))
| ~ element(C_868,powerset(B_866))
| ~ finite(C_868)
| ~ element(B_866,powerset(the_carrier('#skF_1')))
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3')) ),
inference(superposition,[status(thm),theory(equality)],[c_35257,c_4135]) ).
tff(c_35302,plain,
! [B_866,C_868] :
( ( '#skF_18'('#skF_1',B_866,C_868) != '#skF_19'('#skF_1',B_866,C_868) )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_866,C_868))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_866)
| ~ in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset(C_868))
| ~ element(C_868,powerset(B_866))
| ~ finite(C_868)
| ~ element(B_866,powerset(the_carrier('#skF_1')))
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3')) ),
inference(demodulation,[status(thm),theory(equality)],[c_35256,c_35257,c_35273]) ).
tff(c_41717,plain,
! [B_1771,C_1772] :
( ( '#skF_18'('#skF_1',B_1771,C_1772) != '#skF_19'('#skF_1',B_1771,C_1772) )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_1771,C_1772))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_1771)
| ~ in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset(C_1772))
| ~ element(C_1772,powerset(B_1771))
| ~ finite(C_1772)
| ~ element(B_1771,powerset(the_carrier('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_35239,c_35302]) ).
tff(c_41719,plain,
! [B_1771] :
( ( '#skF_18'('#skF_1',B_1771,'#skF_3') != '#skF_19'('#skF_1',B_1771,'#skF_3') )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_1771,'#skF_3'))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_1771)
| ~ element('#skF_3',powerset(B_1771))
| ~ finite('#skF_3')
| ~ element(B_1771,powerset(the_carrier('#skF_1'))) ),
inference(resolution,[status(thm)],[c_35255,c_41717]) ).
tff(c_41878,plain,
! [B_1773] :
( ( '#skF_18'('#skF_1',B_1773,'#skF_3') != '#skF_19'('#skF_1',B_1773,'#skF_3') )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_1773,'#skF_3'))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_1773)
| ~ element('#skF_3',powerset(B_1773))
| ~ element(B_1773,powerset(the_carrier('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_41719]) ).
tff(c_41881,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') != '#skF_19'('#skF_1','#skF_2','#skF_3') )
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_2')
| ~ element('#skF_3',powerset('#skF_2'))
| ~ element('#skF_2',powerset(the_carrier('#skF_1'))) ),
inference(resolution,[status(thm)],[c_41878,c_35259]) ).
tff(c_42022,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2,c_35258,c_41212,c_41881]) ).
tff(c_42024,plain,
in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3')),
inference(splitRight,[status(thm)],[c_35235]) ).
tff(c_156,plain,
! [A_71,B_72,C_73,E_185] :
( ( '#skF_18'(A_71,B_72,C_73) = '#skF_20'(A_71,B_72,C_73) )
| element('#skF_27'(A_71,B_72,C_73,E_185),the_carrier(A_71))
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_186,plain,
! [A_71,B_72,C_73,E_185] :
( in('#skF_23'(A_71,B_72,C_73),B_72)
| ( '#skF_25'(A_71,B_72,C_73,E_185) = E_185 )
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42066,plain,
( in('#skF_23'('#skF_1','#skF_2','#skF_3'),'#skF_2')
| ( '#skF_25'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_42024,c_186]) ).
tff(c_42153,plain,
( in('#skF_23'('#skF_1','#skF_2','#skF_3'),'#skF_2')
| ( '#skF_25'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42066]) ).
tff(c_42154,plain,
( in('#skF_23'('#skF_1','#skF_2','#skF_3'),'#skF_2')
| ( '#skF_25'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) ) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_42153]) ).
tff(c_42380,plain,
'#skF_25'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),
inference(splitLeft,[status(thm)],[c_42154]) ).
tff(c_208,plain,
! [A_71,B_72,C_73,E_185] :
( in('#skF_23'(A_71,B_72,C_73),B_72)
| in('#skF_25'(A_71,B_72,C_73,E_185),powerset(C_73))
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42492,plain,
( in('#skF_23'('#skF_1','#skF_2','#skF_3'),'#skF_2')
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3'))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3'))
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_42380,c_208]) ).
tff(c_42630,plain,
( in('#skF_23'('#skF_1','#skF_2','#skF_3'),'#skF_2')
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3'))
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42024,c_42492]) ).
tff(c_42631,plain,
( in('#skF_23'('#skF_1','#skF_2','#skF_3'),'#skF_2')
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3')) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_42630]) ).
tff(c_42655,plain,
in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3')),
inference(splitLeft,[status(thm)],[c_42631]) ).
tff(c_164,plain,
! [A_71,B_72,C_73,E_185] :
( in('#skF_23'(A_71,B_72,C_73),B_72)
| ( '#skF_26'(A_71,B_72,C_73,E_185) = E_185 )
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42064,plain,
( in('#skF_23'('#skF_1','#skF_2','#skF_3'),'#skF_2')
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_42024,c_164]) ).
tff(c_42149,plain,
( in('#skF_23'('#skF_1','#skF_2','#skF_3'),'#skF_2')
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42064]) ).
tff(c_42150,plain,
( in('#skF_23'('#skF_1','#skF_2','#skF_3'),'#skF_2')
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) ) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_42149]) ).
tff(c_42167,plain,
'#skF_26'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),
inference(splitLeft,[status(thm)],[c_42150]) ).
tff(c_98,plain,
! [A_71,B_72,C_73,E_185] :
( in('#skF_23'(A_71,B_72,C_73),B_72)
| relstr_set_smaller(A_71,'#skF_26'(A_71,B_72,C_73,E_185),'#skF_27'(A_71,B_72,C_73,E_185))
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42246,plain,
( in('#skF_23'('#skF_1','#skF_2','#skF_3'),'#skF_2')
| relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3'))
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_42167,c_98]) ).
tff(c_42356,plain,
( in('#skF_23'('#skF_1','#skF_2','#skF_3'),'#skF_2')
| relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))))
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42024,c_42246]) ).
tff(c_42357,plain,
( in('#skF_23'('#skF_1','#skF_2','#skF_3'),'#skF_2')
| relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')))) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_42356]) ).
tff(c_42691,plain,
relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')))),
inference(splitLeft,[status(thm)],[c_42357]) ).
tff(c_18,plain,
! [D_28,G_51] :
( in('#skF_6'(D_28),'#skF_2')
| ~ relstr_set_smaller('#skF_1','#skF_7'(D_28),G_51)
| ~ in(G_51,'#skF_2')
| ~ element(G_51,the_carrier('#skF_1'))
| ~ in('#skF_7'(D_28),powerset('#skF_3')) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_42721,plain,
( in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_2')
| ~ in('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ element('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),the_carrier('#skF_1'))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3')) ),
inference(resolution,[status(thm)],[c_42691,c_18]) ).
tff(c_42779,plain,
( in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_2')
| ~ in('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ element('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),the_carrier('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_42655,c_42721]) ).
tff(c_42797,plain,
~ element('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),the_carrier('#skF_1')),
inference(splitLeft,[status(thm)],[c_42779]) ).
tff(c_42815,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3') )
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3'))
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_156,c_42797]) ).
tff(c_42853,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3') )
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42024,c_42815]) ).
tff(c_42854,plain,
'#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_12,c_42853]) ).
tff(c_138,plain,
! [A_71,B_72,C_73,E_185] :
( ( '#skF_18'(A_71,B_72,C_73) != '#skF_19'(A_71,B_72,C_73) )
| element('#skF_27'(A_71,B_72,C_73,E_185),the_carrier(A_71))
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42812,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') != '#skF_19'('#skF_1','#skF_2','#skF_3') )
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3'))
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_138,c_42797]) ).
tff(c_42849,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') != '#skF_19'('#skF_1','#skF_2','#skF_3') )
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42024,c_42812]) ).
tff(c_42850,plain,
'#skF_18'('#skF_1','#skF_2','#skF_3') != '#skF_19'('#skF_1','#skF_2','#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_12,c_42849]) ).
tff(c_42999,plain,
'#skF_19'('#skF_1','#skF_2','#skF_3') != '#skF_20'('#skF_1','#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_42854,c_42850]) ).
tff(c_158,plain,
! [A_71,B_72,C_73,E_185] :
( ( '#skF_17'(A_71,B_72,C_73) = '#skF_18'(A_71,B_72,C_73) )
| element('#skF_27'(A_71,B_72,C_73,E_185),the_carrier(A_71))
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42806,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3') )
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3'))
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_158,c_42797]) ).
tff(c_42841,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3') )
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42024,c_42806]) ).
tff(c_42842,plain,
'#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_12,c_42841]) ).
tff(c_43000,plain,
'#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_42854,c_42842]) ).
tff(c_148,plain,
! [A_71,B_72,C_73,E_185] :
( ( '#skF_17'(A_71,B_72,C_73) = '#skF_19'(A_71,B_72,C_73) )
| element('#skF_27'(A_71,B_72,C_73,E_185),the_carrier(A_71))
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42818,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3') )
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3'))
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_148,c_42797]) ).
tff(c_42857,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3') )
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42024,c_42818]) ).
tff(c_42858,plain,
'#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_12,c_42857]) ).
tff(c_43010,plain,
'#skF_19'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_43000,c_42858]) ).
tff(c_43012,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42999,c_43010]) ).
tff(c_43014,plain,
element('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),the_carrier('#skF_1')),
inference(splitRight,[status(thm)],[c_42779]) ).
tff(c_1392,plain,
! [A_429,B_430,C_431,E_432] :
( ( '#skF_18'(A_429,B_430,C_431) = '#skF_20'(A_429,B_430,C_431) )
| in('#skF_27'(A_429,B_430,C_431,E_432),B_430)
| ~ in(E_432,'#skF_24'(A_429,B_430,C_431))
| ~ element(C_431,powerset(B_430))
| ~ finite(C_431)
| ~ element(B_430,powerset(the_carrier(A_429)))
| ~ rel_str(A_429)
| ~ transitive_relstr(A_429)
| empty_carrier(A_429) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_1408,plain,
! [C_431,E_432] :
( ( '#skF_18'('#skF_1','#skF_2',C_431) = '#skF_20'('#skF_1','#skF_2',C_431) )
| in('#skF_27'('#skF_1','#skF_2',C_431,E_432),'#skF_2')
| ~ in(E_432,'#skF_24'('#skF_1','#skF_2',C_431))
| ~ element(C_431,powerset('#skF_2'))
| ~ finite(C_431)
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_6,c_1392]) ).
tff(c_1416,plain,
! [C_431,E_432] :
( ( '#skF_18'('#skF_1','#skF_2',C_431) = '#skF_20'('#skF_1','#skF_2',C_431) )
| in('#skF_27'('#skF_1','#skF_2',C_431,E_432),'#skF_2')
| ~ in(E_432,'#skF_24'('#skF_1','#skF_2',C_431))
| ~ element(C_431,powerset('#skF_2'))
| ~ finite(C_431)
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_1408]) ).
tff(c_1417,plain,
! [C_431,E_432] :
( ( '#skF_18'('#skF_1','#skF_2',C_431) = '#skF_20'('#skF_1','#skF_2',C_431) )
| in('#skF_27'('#skF_1','#skF_2',C_431,E_432),'#skF_2')
| ~ in(E_432,'#skF_24'('#skF_1','#skF_2',C_431))
| ~ element(C_431,powerset('#skF_2'))
| ~ finite(C_431) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_1416]) ).
tff(c_43013,plain,
( ~ in('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_2') ),
inference(splitRight,[status(thm)],[c_42779]) ).
tff(c_43015,plain,
~ in('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),'#skF_2'),
inference(splitLeft,[status(thm)],[c_43013]) ).
tff(c_43036,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3') )
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3'))
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3') ),
inference(resolution,[status(thm)],[c_1417,c_43015]) ).
tff(c_43071,plain,
'#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_42024,c_43036]) ).
tff(c_1423,plain,
! [A_437,B_438,C_439,E_440] :
( ( '#skF_17'(A_437,B_438,C_439) = '#skF_18'(A_437,B_438,C_439) )
| in('#skF_27'(A_437,B_438,C_439,E_440),B_438)
| ~ in(E_440,'#skF_24'(A_437,B_438,C_439))
| ~ element(C_439,powerset(B_438))
| ~ finite(C_439)
| ~ element(B_438,powerset(the_carrier(A_437)))
| ~ rel_str(A_437)
| ~ transitive_relstr(A_437)
| empty_carrier(A_437) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_1439,plain,
! [C_439,E_440] :
( ( '#skF_17'('#skF_1','#skF_2',C_439) = '#skF_18'('#skF_1','#skF_2',C_439) )
| in('#skF_27'('#skF_1','#skF_2',C_439,E_440),'#skF_2')
| ~ in(E_440,'#skF_24'('#skF_1','#skF_2',C_439))
| ~ element(C_439,powerset('#skF_2'))
| ~ finite(C_439)
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_6,c_1423]) ).
tff(c_1447,plain,
! [C_439,E_440] :
( ( '#skF_17'('#skF_1','#skF_2',C_439) = '#skF_18'('#skF_1','#skF_2',C_439) )
| in('#skF_27'('#skF_1','#skF_2',C_439,E_440),'#skF_2')
| ~ in(E_440,'#skF_24'('#skF_1','#skF_2',C_439))
| ~ element(C_439,powerset('#skF_2'))
| ~ finite(C_439)
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_1439]) ).
tff(c_1448,plain,
! [C_439,E_440] :
( ( '#skF_17'('#skF_1','#skF_2',C_439) = '#skF_18'('#skF_1','#skF_2',C_439) )
| in('#skF_27'('#skF_1','#skF_2',C_439,E_440),'#skF_2')
| ~ in(E_440,'#skF_24'('#skF_1','#skF_2',C_439))
| ~ element(C_439,powerset('#skF_2'))
| ~ finite(C_439) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_1447]) ).
tff(c_43033,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3') )
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3'))
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3') ),
inference(resolution,[status(thm)],[c_1448,c_43015]) ).
tff(c_43068,plain,
'#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_42024,c_43033]) ).
tff(c_43094,plain,
'#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_43071,c_43068]) ).
tff(c_1449,plain,
! [A_441,B_442,C_443,E_444] :
( ( '#skF_17'(A_441,B_442,C_443) = '#skF_19'(A_441,B_442,C_443) )
| in('#skF_27'(A_441,B_442,C_443,E_444),B_442)
| ~ in(E_444,'#skF_24'(A_441,B_442,C_443))
| ~ element(C_443,powerset(B_442))
| ~ finite(C_443)
| ~ element(B_442,powerset(the_carrier(A_441)))
| ~ rel_str(A_441)
| ~ transitive_relstr(A_441)
| empty_carrier(A_441) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_1465,plain,
! [C_443,E_444] :
( ( '#skF_17'('#skF_1','#skF_2',C_443) = '#skF_19'('#skF_1','#skF_2',C_443) )
| in('#skF_27'('#skF_1','#skF_2',C_443,E_444),'#skF_2')
| ~ in(E_444,'#skF_24'('#skF_1','#skF_2',C_443))
| ~ element(C_443,powerset('#skF_2'))
| ~ finite(C_443)
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_6,c_1449]) ).
tff(c_1473,plain,
! [C_443,E_444] :
( ( '#skF_17'('#skF_1','#skF_2',C_443) = '#skF_19'('#skF_1','#skF_2',C_443) )
| in('#skF_27'('#skF_1','#skF_2',C_443,E_444),'#skF_2')
| ~ in(E_444,'#skF_24'('#skF_1','#skF_2',C_443))
| ~ element(C_443,powerset('#skF_2'))
| ~ finite(C_443)
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_1465]) ).
tff(c_1474,plain,
! [C_443,E_444] :
( ( '#skF_17'('#skF_1','#skF_2',C_443) = '#skF_19'('#skF_1','#skF_2',C_443) )
| in('#skF_27'('#skF_1','#skF_2',C_443,E_444),'#skF_2')
| ~ in(E_444,'#skF_24'('#skF_1','#skF_2',C_443))
| ~ element(C_443,powerset('#skF_2'))
| ~ finite(C_443) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_1473]) ).
tff(c_43030,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3') )
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3'))
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3') ),
inference(resolution,[status(thm)],[c_1474,c_43015]) ).
tff(c_43065,plain,
'#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_42024,c_43030]) ).
tff(c_43165,plain,
'#skF_19'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_43094,c_43065]) ).
tff(c_1560,plain,
! [A_464,B_465,C_466,E_467] :
( ( '#skF_18'(A_464,B_465,C_466) != '#skF_19'(A_464,B_465,C_466) )
| in('#skF_27'(A_464,B_465,C_466,E_467),B_465)
| ~ in(E_467,'#skF_24'(A_464,B_465,C_466))
| ~ element(C_466,powerset(B_465))
| ~ finite(C_466)
| ~ element(B_465,powerset(the_carrier(A_464)))
| ~ rel_str(A_464)
| ~ transitive_relstr(A_464)
| empty_carrier(A_464) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_1576,plain,
! [C_466,E_467] :
( ( '#skF_18'('#skF_1','#skF_2',C_466) != '#skF_19'('#skF_1','#skF_2',C_466) )
| in('#skF_27'('#skF_1','#skF_2',C_466,E_467),'#skF_2')
| ~ in(E_467,'#skF_24'('#skF_1','#skF_2',C_466))
| ~ element(C_466,powerset('#skF_2'))
| ~ finite(C_466)
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_6,c_1560]) ).
tff(c_1584,plain,
! [C_466,E_467] :
( ( '#skF_18'('#skF_1','#skF_2',C_466) != '#skF_19'('#skF_1','#skF_2',C_466) )
| in('#skF_27'('#skF_1','#skF_2',C_466,E_467),'#skF_2')
| ~ in(E_467,'#skF_24'('#skF_1','#skF_2',C_466))
| ~ element(C_466,powerset('#skF_2'))
| ~ finite(C_466)
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_1576]) ).
tff(c_1585,plain,
! [C_466,E_467] :
( ( '#skF_18'('#skF_1','#skF_2',C_466) != '#skF_19'('#skF_1','#skF_2',C_466) )
| in('#skF_27'('#skF_1','#skF_2',C_466,E_467),'#skF_2')
| ~ in(E_467,'#skF_24'('#skF_1','#skF_2',C_466))
| ~ element(C_466,powerset('#skF_2'))
| ~ finite(C_466) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_1584]) ).
tff(c_43024,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') != '#skF_19'('#skF_1','#skF_2','#skF_3') )
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3'))
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3') ),
inference(resolution,[status(thm)],[c_1585,c_43015]) ).
tff(c_43059,plain,
'#skF_18'('#skF_1','#skF_2','#skF_3') != '#skF_19'('#skF_1','#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_2,c_42024,c_43024]) ).
tff(c_43171,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43165,c_43071,c_43059]) ).
tff(c_43173,plain,
in('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),'#skF_2'),
inference(splitRight,[status(thm)],[c_43013]) ).
tff(c_43172,plain,
in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_2'),
inference(splitRight,[status(thm)],[c_43013]) ).
tff(c_24,plain,
! [D_28,G_51] :
( in('#skF_4'(D_28),powerset('#skF_3'))
| ~ relstr_set_smaller('#skF_1','#skF_7'(D_28),G_51)
| ~ in(G_51,'#skF_2')
| ~ element(G_51,the_carrier('#skF_1'))
| ~ in('#skF_7'(D_28),powerset('#skF_3')) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_42719,plain,
( in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3'))
| ~ in('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ element('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),the_carrier('#skF_1'))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3')) ),
inference(resolution,[status(thm)],[c_42691,c_24]) ).
tff(c_42776,plain,
( in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3'))
| ~ in('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ element('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),the_carrier('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_42655,c_42719]) ).
tff(c_43182,plain,
in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_43014,c_43173,c_42776]) ).
tff(c_20,plain,
! [D_28,G_51] :
( element('#skF_6'(D_28),the_carrier('#skF_1'))
| ~ relstr_set_smaller('#skF_1','#skF_7'(D_28),G_51)
| ~ in(G_51,'#skF_2')
| ~ element(G_51,the_carrier('#skF_1'))
| ~ in('#skF_7'(D_28),powerset('#skF_3')) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_42717,plain,
( element('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),the_carrier('#skF_1'))
| ~ in('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ element('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),the_carrier('#skF_1'))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3')) ),
inference(resolution,[status(thm)],[c_42691,c_20]) ).
tff(c_42773,plain,
( element('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),the_carrier('#skF_1'))
| ~ in('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ element('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),the_carrier('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_42655,c_42717]) ).
tff(c_43187,plain,
element('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),the_carrier('#skF_1')),
inference(demodulation,[status(thm),theory(equality)],[c_43014,c_43173,c_42773]) ).
tff(c_42723,plain,
( ( '#skF_5'('#skF_24'('#skF_1','#skF_2','#skF_3')) = '#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| ~ in('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ element('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),the_carrier('#skF_1'))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3')) ),
inference(resolution,[status(thm)],[c_42691,c_22]) ).
tff(c_42782,plain,
( ( '#skF_5'('#skF_24'('#skF_1','#skF_2','#skF_3')) = '#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| ~ in('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ element('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),the_carrier('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_42655,c_42723]) ).
tff(c_43191,plain,
'#skF_5'('#skF_24'('#skF_1','#skF_2','#skF_3')) = '#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_43014,c_43173,c_42782]) ).
tff(c_16,plain,
! [D_28,G_51] :
( relstr_set_smaller('#skF_1','#skF_5'(D_28),'#skF_6'(D_28))
| ~ relstr_set_smaller('#skF_1','#skF_7'(D_28),G_51)
| ~ in(G_51,'#skF_2')
| ~ element(G_51,the_carrier('#skF_1'))
| ~ in('#skF_7'(D_28),powerset('#skF_3')) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_42715,plain,
( relstr_set_smaller('#skF_1','#skF_5'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')))
| ~ in('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ element('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),the_carrier('#skF_1'))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3')) ),
inference(resolution,[status(thm)],[c_42691,c_16]) ).
tff(c_42770,plain,
( relstr_set_smaller('#skF_1','#skF_5'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')))
| ~ in('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ element('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),the_carrier('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_42655,c_42715]) ).
tff(c_43256,plain,
relstr_set_smaller('#skF_1','#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3'))),
inference(demodulation,[status(thm),theory(equality)],[c_43014,c_43173,c_43191,c_42770]) ).
tff(c_246,plain,
! [L_206,C_73,B_72,A_71,K_204] :
( ( '#skF_17'(A_71,B_72,C_73) = '#skF_18'(A_71,B_72,C_73) )
| in(K_204,'#skF_24'(A_71,B_72,C_73))
| ~ relstr_set_smaller(A_71,K_204,L_206)
| ~ in(L_206,B_72)
| ~ element(L_206,the_carrier(A_71))
| ~ in(K_204,powerset(C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_43270,plain,
! [B_72,C_73] :
( ( '#skF_17'('#skF_1',B_72,C_73) = '#skF_18'('#skF_1',B_72,C_73) )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_72,C_73))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_72)
| ~ element('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),the_carrier('#skF_1'))
| ~ in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset(C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_43256,c_246]) ).
tff(c_43305,plain,
! [B_72,C_73] :
( ( '#skF_17'('#skF_1',B_72,C_73) = '#skF_18'('#skF_1',B_72,C_73) )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_72,C_73))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_72)
| ~ in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset(C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier('#skF_1')))
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_43187,c_43270]) ).
tff(c_46693,plain,
! [B_1905,C_1906] :
( ( '#skF_17'('#skF_1',B_1905,C_1906) = '#skF_18'('#skF_1',B_1905,C_1906) )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_1905,C_1906))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_1905)
| ~ in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset(C_1906))
| ~ element(C_1906,powerset(B_1905))
| ~ finite(C_1906)
| ~ element(B_1905,powerset(the_carrier('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_43305]) ).
tff(c_46695,plain,
! [B_1905] :
( ( '#skF_17'('#skF_1',B_1905,'#skF_3') = '#skF_18'('#skF_1',B_1905,'#skF_3') )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_1905,'#skF_3'))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_1905)
| ~ element('#skF_3',powerset(B_1905))
| ~ finite('#skF_3')
| ~ element(B_1905,powerset(the_carrier('#skF_1'))) ),
inference(resolution,[status(thm)],[c_43182,c_46693]) ).
tff(c_47015,plain,
! [B_1909] :
( ( '#skF_17'('#skF_1',B_1909,'#skF_3') = '#skF_18'('#skF_1',B_1909,'#skF_3') )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_1909,'#skF_3'))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_1909)
| ~ element('#skF_3',powerset(B_1909))
| ~ element(B_1909,powerset(the_carrier('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_46695]) ).
tff(c_14,plain,
! [D_28,G_51] :
( ~ in('#skF_4'(D_28),D_28)
| ~ relstr_set_smaller('#skF_1','#skF_7'(D_28),G_51)
| ~ in(G_51,'#skF_2')
| ~ element(G_51,the_carrier('#skF_1'))
| ~ in('#skF_7'(D_28),powerset('#skF_3')) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_47146,plain,
! [G_51] :
( ~ relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),G_51)
| ~ in(G_51,'#skF_2')
| ~ element(G_51,the_carrier('#skF_1'))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3'))
| ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3') )
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_2')
| ~ element('#skF_3',powerset('#skF_2'))
| ~ element('#skF_2',powerset(the_carrier('#skF_1'))) ),
inference(resolution,[status(thm)],[c_47015,c_14]) ).
tff(c_47331,plain,
! [G_51] :
( ~ relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),G_51)
| ~ in(G_51,'#skF_2')
| ~ element(G_51,the_carrier('#skF_1'))
| ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2,c_43172,c_42655,c_47146]) ).
tff(c_47337,plain,
! [G_1910] :
( ~ relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),G_1910)
| ~ in(G_1910,'#skF_2')
| ~ element(G_1910,the_carrier('#skF_1')) ),
inference(splitLeft,[status(thm)],[c_47331]) ).
tff(c_47340,plain,
( ~ in('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ element('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),the_carrier('#skF_1')) ),
inference(resolution,[status(thm)],[c_42691,c_47337]) ).
tff(c_47372,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43014,c_43173,c_47340]) ).
tff(c_47373,plain,
'#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3'),
inference(splitRight,[status(thm)],[c_47331]) ).
tff(c_236,plain,
! [L_206,C_73,B_72,A_71,K_204] :
( ( '#skF_17'(A_71,B_72,C_73) = '#skF_19'(A_71,B_72,C_73) )
| in(K_204,'#skF_24'(A_71,B_72,C_73))
| ~ relstr_set_smaller(A_71,K_204,L_206)
| ~ in(L_206,B_72)
| ~ element(L_206,the_carrier(A_71))
| ~ in(K_204,powerset(C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_43268,plain,
! [B_72,C_73] :
( ( '#skF_17'('#skF_1',B_72,C_73) = '#skF_19'('#skF_1',B_72,C_73) )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_72,C_73))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_72)
| ~ element('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),the_carrier('#skF_1'))
| ~ in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset(C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_43256,c_236]) ).
tff(c_43301,plain,
! [B_72,C_73] :
( ( '#skF_17'('#skF_1',B_72,C_73) = '#skF_19'('#skF_1',B_72,C_73) )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_72,C_73))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_72)
| ~ in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset(C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier('#skF_1')))
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_43187,c_43268]) ).
tff(c_46854,plain,
! [B_1907,C_1908] :
( ( '#skF_17'('#skF_1',B_1907,C_1908) = '#skF_19'('#skF_1',B_1907,C_1908) )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_1907,C_1908))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_1907)
| ~ in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset(C_1908))
| ~ element(C_1908,powerset(B_1907))
| ~ finite(C_1908)
| ~ element(B_1907,powerset(the_carrier('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_43301]) ).
tff(c_46856,plain,
! [B_1907] :
( ( '#skF_17'('#skF_1',B_1907,'#skF_3') = '#skF_19'('#skF_1',B_1907,'#skF_3') )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_1907,'#skF_3'))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_1907)
| ~ element('#skF_3',powerset(B_1907))
| ~ finite('#skF_3')
| ~ element(B_1907,powerset(the_carrier('#skF_1'))) ),
inference(resolution,[status(thm)],[c_43182,c_46854]) ).
tff(c_47378,plain,
! [B_1911] :
( ( '#skF_17'('#skF_1',B_1911,'#skF_3') = '#skF_19'('#skF_1',B_1911,'#skF_3') )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_1911,'#skF_3'))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_1911)
| ~ element('#skF_3',powerset(B_1911))
| ~ element(B_1911,powerset(the_carrier('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_46856]) ).
tff(c_47509,plain,
! [G_51] :
( ~ relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),G_51)
| ~ in(G_51,'#skF_2')
| ~ element(G_51,the_carrier('#skF_1'))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3'))
| ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3') )
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_2')
| ~ element('#skF_3',powerset('#skF_2'))
| ~ element('#skF_2',powerset(the_carrier('#skF_1'))) ),
inference(resolution,[status(thm)],[c_47378,c_14]) ).
tff(c_47694,plain,
! [G_51] :
( ~ relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),G_51)
| ~ in(G_51,'#skF_2')
| ~ element(G_51,the_carrier('#skF_1'))
| ( '#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3') ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2,c_43172,c_47373,c_42655,c_47509]) ).
tff(c_47701,plain,
! [G_1918] :
( ~ relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),G_1918)
| ~ in(G_1918,'#skF_2')
| ~ element(G_1918,the_carrier('#skF_1')) ),
inference(splitLeft,[status(thm)],[c_47694]) ).
tff(c_47704,plain,
( ~ in('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ element('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),the_carrier('#skF_1')) ),
inference(resolution,[status(thm)],[c_42691,c_47701]) ).
tff(c_47736,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43014,c_43173,c_47704]) ).
tff(c_47737,plain,
'#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3'),
inference(splitRight,[status(thm)],[c_47694]) ).
tff(c_226,plain,
! [L_206,C_73,B_72,A_71,K_204] :
( ( '#skF_18'(A_71,B_72,C_73) != '#skF_19'(A_71,B_72,C_73) )
| in(K_204,'#skF_24'(A_71,B_72,C_73))
| ~ relstr_set_smaller(A_71,K_204,L_206)
| ~ in(L_206,B_72)
| ~ element(L_206,the_carrier(A_71))
| ~ in(K_204,powerset(C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_43262,plain,
! [B_72,C_73] :
( ( '#skF_18'('#skF_1',B_72,C_73) != '#skF_19'('#skF_1',B_72,C_73) )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_72,C_73))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_72)
| ~ element('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),the_carrier('#skF_1'))
| ~ in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset(C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_43256,c_226]) ).
tff(c_43289,plain,
! [B_72,C_73] :
( ( '#skF_18'('#skF_1',B_72,C_73) != '#skF_19'('#skF_1',B_72,C_73) )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_72,C_73))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_72)
| ~ in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset(C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier('#skF_1')))
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_43187,c_43262]) ).
tff(c_48516,plain,
! [B_1933,C_1934] :
( ( '#skF_18'('#skF_1',B_1933,C_1934) != '#skF_19'('#skF_1',B_1933,C_1934) )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_1933,C_1934))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_1933)
| ~ in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset(C_1934))
| ~ element(C_1934,powerset(B_1933))
| ~ finite(C_1934)
| ~ element(B_1933,powerset(the_carrier('#skF_1'))) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_43289]) ).
tff(c_48518,plain,
! [B_1933] :
( ( '#skF_18'('#skF_1',B_1933,'#skF_3') != '#skF_19'('#skF_1',B_1933,'#skF_3') )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_1933,'#skF_3'))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_1933)
| ~ element('#skF_3',powerset(B_1933))
| ~ finite('#skF_3')
| ~ element(B_1933,powerset(the_carrier('#skF_1'))) ),
inference(resolution,[status(thm)],[c_43182,c_48516]) ).
tff(c_49238,plain,
! [B_1943] :
( ( '#skF_18'('#skF_1',B_1943,'#skF_3') != '#skF_19'('#skF_1',B_1943,'#skF_3') )
| in('#skF_4'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1',B_1943,'#skF_3'))
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),B_1943)
| ~ element('#skF_3',powerset(B_1943))
| ~ element(B_1943,powerset(the_carrier('#skF_1'))) ),
inference(demodulation,[status(thm),theory(equality)],[c_4,c_48518]) ).
tff(c_49369,plain,
! [G_51] :
( ~ relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),G_51)
| ~ in(G_51,'#skF_2')
| ~ element(G_51,the_carrier('#skF_1'))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3'))
| ( '#skF_18'('#skF_1','#skF_2','#skF_3') != '#skF_19'('#skF_1','#skF_2','#skF_3') )
| ~ in('#skF_6'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_2')
| ~ element('#skF_3',powerset('#skF_2'))
| ~ element('#skF_2',powerset(the_carrier('#skF_1'))) ),
inference(resolution,[status(thm)],[c_49238,c_14]) ).
tff(c_49559,plain,
! [G_1944] :
( ~ relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),G_1944)
| ~ in(G_1944,'#skF_2')
| ~ element(G_1944,the_carrier('#skF_1')) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2,c_43172,c_47737,c_42655,c_49369]) ).
tff(c_49562,plain,
( ~ in('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),'#skF_2')
| ~ element('#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))),the_carrier('#skF_1')) ),
inference(resolution,[status(thm)],[c_42691,c_49559]) ).
tff(c_49594,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43014,c_43173,c_49562]) ).
tff(c_49596,plain,
~ relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')))),
inference(splitRight,[status(thm)],[c_42357]) ).
tff(c_114,plain,
! [A_71,B_72,C_73,E_185] :
( ( '#skF_17'(A_71,B_72,C_73) = '#skF_18'(A_71,B_72,C_73) )
| relstr_set_smaller(A_71,'#skF_26'(A_71,B_72,C_73,E_185),'#skF_27'(A_71,B_72,C_73,E_185))
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42230,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3') )
| relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3'))
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_42167,c_114]) ).
tff(c_42341,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3') )
| relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))))
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42024,c_42230]) ).
tff(c_42342,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3') )
| relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')))) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_42341]) ).
tff(c_49696,plain,
'#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_49596,c_42342]) ).
tff(c_104,plain,
! [A_71,B_72,C_73,E_185] :
( ( '#skF_17'(A_71,B_72,C_73) = '#skF_19'(A_71,B_72,C_73) )
| relstr_set_smaller(A_71,'#skF_26'(A_71,B_72,C_73,E_185),'#skF_27'(A_71,B_72,C_73,E_185))
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42221,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3') )
| relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3'))
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_42167,c_104]) ).
tff(c_42332,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3') )
| relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))))
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42024,c_42221]) ).
tff(c_42333,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3') )
| relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')))) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_42332]) ).
tff(c_49880,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3') )
| relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')))) ),
inference(demodulation,[status(thm),theory(equality)],[c_49696,c_42333]) ).
tff(c_49881,plain,
'#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_49596,c_49880]) ).
tff(c_94,plain,
! [A_71,B_72,C_73,E_185] :
( ( '#skF_18'(A_71,B_72,C_73) != '#skF_19'(A_71,B_72,C_73) )
| relstr_set_smaller(A_71,'#skF_26'(A_71,B_72,C_73,E_185),'#skF_27'(A_71,B_72,C_73,E_185))
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42227,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') != '#skF_19'('#skF_1','#skF_2','#skF_3') )
| relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3'))
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_42167,c_94]) ).
tff(c_42338,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') != '#skF_19'('#skF_1','#skF_2','#skF_3') )
| relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))))
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42024,c_42227]) ).
tff(c_42339,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') != '#skF_19'('#skF_1','#skF_2','#skF_3') )
| relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')))) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_42338]) ).
tff(c_49898,plain,
relstr_set_smaller('#skF_1','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_27'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')))),
inference(demodulation,[status(thm),theory(equality)],[c_49881,c_42339]) ).
tff(c_49899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49596,c_49898]) ).
tff(c_49901,plain,
~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3')),
inference(splitRight,[status(thm)],[c_42631]) ).
tff(c_222,plain,
! [A_71,B_72,C_73,E_185] :
( ( '#skF_18'(A_71,B_72,C_73) = '#skF_20'(A_71,B_72,C_73) )
| in('#skF_25'(A_71,B_72,C_73,E_185),powerset(C_73))
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42456,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3') )
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3'))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3'))
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_42380,c_222]) ).
tff(c_42594,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3') )
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3'))
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42024,c_42456]) ).
tff(c_42595,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3') )
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3')) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_42594]) ).
tff(c_49997,plain,
'#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_49901,c_42595]) ).
tff(c_204,plain,
! [A_71,B_72,C_73,E_185] :
( ( '#skF_18'(A_71,B_72,C_73) != '#skF_19'(A_71,B_72,C_73) )
| in('#skF_25'(A_71,B_72,C_73,E_185),powerset(C_73))
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42459,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') != '#skF_19'('#skF_1','#skF_2','#skF_3') )
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3'))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3'))
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_42380,c_204]) ).
tff(c_42597,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') != '#skF_19'('#skF_1','#skF_2','#skF_3') )
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3'))
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42024,c_42459]) ).
tff(c_42598,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') != '#skF_19'('#skF_1','#skF_2','#skF_3') )
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3')) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_42597]) ).
tff(c_50002,plain,
( ( '#skF_19'('#skF_1','#skF_2','#skF_3') != '#skF_20'('#skF_1','#skF_2','#skF_3') )
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3')) ),
inference(demodulation,[status(thm),theory(equality)],[c_49997,c_42598]) ).
tff(c_50003,plain,
'#skF_19'('#skF_1','#skF_2','#skF_3') != '#skF_20'('#skF_1','#skF_2','#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_49901,c_50002]) ).
tff(c_224,plain,
! [A_71,B_72,C_73,E_185] :
( ( '#skF_17'(A_71,B_72,C_73) = '#skF_18'(A_71,B_72,C_73) )
| in('#skF_25'(A_71,B_72,C_73,E_185),powerset(C_73))
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42463,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3') )
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3'))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3'))
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_42380,c_224]) ).
tff(c_42600,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3') )
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3'))
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42024,c_42463]) ).
tff(c_42601,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3') )
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3')) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_42600]) ).
tff(c_50004,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3') )
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3')) ),
inference(demodulation,[status(thm),theory(equality)],[c_49997,c_42601]) ).
tff(c_50005,plain,
'#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_49901,c_50004]) ).
tff(c_214,plain,
! [A_71,B_72,C_73,E_185] :
( ( '#skF_17'(A_71,B_72,C_73) = '#skF_19'(A_71,B_72,C_73) )
| in('#skF_25'(A_71,B_72,C_73,E_185),powerset(C_73))
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42469,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3') )
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3'))
| ~ in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),'#skF_24'('#skF_1','#skF_2','#skF_3'))
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_42380,c_214]) ).
tff(c_42606,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3') )
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3'))
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42024,c_42469]) ).
tff(c_42607,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3') )
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3')) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_42606]) ).
tff(c_50116,plain,
( ( '#skF_19'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3') )
| in('#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),powerset('#skF_3')) ),
inference(demodulation,[status(thm),theory(equality)],[c_50005,c_42607]) ).
tff(c_50117,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49901,c_50003,c_50116]) ).
tff(c_50119,plain,
'#skF_25'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) != '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),
inference(splitRight,[status(thm)],[c_42154]) ).
tff(c_200,plain,
! [A_71,B_72,C_73,E_185] :
( ( '#skF_18'(A_71,B_72,C_73) = '#skF_20'(A_71,B_72,C_73) )
| ( '#skF_25'(A_71,B_72,C_73,E_185) = E_185 )
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42040,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_25'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_42024,c_200]) ).
tff(c_42101,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_25'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42040]) ).
tff(c_42102,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_25'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) ) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_42101]) ).
tff(c_50255,plain,
'#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_50119,c_42102]) ).
tff(c_192,plain,
! [A_71,B_72,C_73,E_185] :
( ( '#skF_17'(A_71,B_72,C_73) = '#skF_19'(A_71,B_72,C_73) )
| ( '#skF_25'(A_71,B_72,C_73,E_185) = E_185 )
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42038,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_25'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_42024,c_192]) ).
tff(c_42097,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_25'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42038]) ).
tff(c_42098,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_25'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) ) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_42097]) ).
tff(c_50245,plain,
'#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_50119,c_42098]) ).
tff(c_202,plain,
! [A_71,B_72,C_73,E_185] :
( ( '#skF_17'(A_71,B_72,C_73) = '#skF_18'(A_71,B_72,C_73) )
| ( '#skF_25'(A_71,B_72,C_73,E_185) = E_185 )
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42034,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_25'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_42024,c_202]) ).
tff(c_42089,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_25'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42034]) ).
tff(c_42090,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_25'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) ) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_42089]) ).
tff(c_50368,plain,
( ( '#skF_19'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_25'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50255,c_50245,c_42090]) ).
tff(c_50369,plain,
'#skF_19'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_50119,c_50368]) ).
tff(c_182,plain,
! [A_71,B_72,C_73,E_185] :
( ( '#skF_18'(A_71,B_72,C_73) != '#skF_19'(A_71,B_72,C_73) )
| ( '#skF_25'(A_71,B_72,C_73,E_185) = E_185 )
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42046,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') != '#skF_19'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_25'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_42024,c_182]) ).
tff(c_42113,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') != '#skF_19'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_25'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42046]) ).
tff(c_42114,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') != '#skF_19'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_25'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) ) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_42113]) ).
tff(c_50478,plain,
'#skF_25'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),
inference(demodulation,[status(thm),theory(equality)],[c_50369,c_50255,c_42114]) ).
tff(c_50479,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50119,c_50478]) ).
tff(c_50481,plain,
'#skF_26'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) != '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')),
inference(splitRight,[status(thm)],[c_42150]) ).
tff(c_178,plain,
! [A_71,B_72,C_73,E_185] :
( ( '#skF_18'(A_71,B_72,C_73) = '#skF_20'(A_71,B_72,C_73) )
| ( '#skF_26'(A_71,B_72,C_73,E_185) = E_185 )
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42044,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_42024,c_178]) ).
tff(c_42109,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42044]) ).
tff(c_42110,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) ) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_42109]) ).
tff(c_50901,plain,
'#skF_18'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_50481,c_42110]) ).
tff(c_160,plain,
! [A_71,B_72,C_73,E_185] :
( ( '#skF_18'(A_71,B_72,C_73) != '#skF_19'(A_71,B_72,C_73) )
| ( '#skF_26'(A_71,B_72,C_73,E_185) = E_185 )
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42048,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') != '#skF_19'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_42024,c_160]) ).
tff(c_42117,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') != '#skF_19'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42048]) ).
tff(c_42118,plain,
( ( '#skF_18'('#skF_1','#skF_2','#skF_3') != '#skF_19'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) ) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_42117]) ).
tff(c_50906,plain,
( ( '#skF_19'('#skF_1','#skF_2','#skF_3') != '#skF_20'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50901,c_42118]) ).
tff(c_50907,plain,
'#skF_19'('#skF_1','#skF_2','#skF_3') != '#skF_20'('#skF_1','#skF_2','#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_50481,c_50906]) ).
tff(c_170,plain,
! [A_71,B_72,C_73,E_185] :
( ( '#skF_17'(A_71,B_72,C_73) = '#skF_19'(A_71,B_72,C_73) )
| ( '#skF_26'(A_71,B_72,C_73,E_185) = E_185 )
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42052,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_42024,c_170]) ).
tff(c_42125,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42052]) ).
tff(c_42126,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) ) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_42125]) ).
tff(c_50908,plain,
'#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_19'('#skF_1','#skF_2','#skF_3'),
inference(negUnitSimplification,[status(thm)],[c_50481,c_42126]) ).
tff(c_180,plain,
! [A_71,B_72,C_73,E_185] :
( ( '#skF_17'(A_71,B_72,C_73) = '#skF_18'(A_71,B_72,C_73) )
| ( '#skF_26'(A_71,B_72,C_73,E_185) = E_185 )
| ~ in(E_185,'#skF_24'(A_71,B_72,C_73))
| ~ element(C_73,powerset(B_72))
| ~ finite(C_73)
| ~ element(B_72,powerset(the_carrier(A_71)))
| ~ rel_str(A_71)
| ~ transitive_relstr(A_71)
| empty_carrier(A_71) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_42036,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| ~ element('#skF_3',powerset('#skF_2'))
| ~ finite('#skF_3')
| ~ element('#skF_2',powerset(the_carrier('#skF_1')))
| ~ rel_str('#skF_1')
| ~ transitive_relstr('#skF_1')
| empty_carrier('#skF_1') ),
inference(resolution,[status(thm)],[c_42024,c_180]) ).
tff(c_42093,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) )
| empty_carrier('#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_10,c_8,c_6,c_4,c_2,c_42036]) ).
tff(c_42094,plain,
( ( '#skF_17'('#skF_1','#skF_2','#skF_3') = '#skF_18'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) ) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_42093]) ).
tff(c_50913,plain,
( ( '#skF_19'('#skF_1','#skF_2','#skF_3') = '#skF_20'('#skF_1','#skF_2','#skF_3') )
| ( '#skF_26'('#skF_1','#skF_2','#skF_3','#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3'))) = '#skF_7'('#skF_24'('#skF_1','#skF_2','#skF_3')) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50908,c_50901,c_42094]) ).
tff(c_50914,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50481,c_50907,c_50913]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU364+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 11:37:01 EDT 2023
% 0.15/0.36 % CPUTime :
% 27.19/11.14 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.19/11.16
% 27.19/11.16 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 27.31/11.22
% 27.31/11.22 Inference rules
% 27.31/11.22 ----------------------
% 27.31/11.22 #Ref : 0
% 27.31/11.22 #Sup : 9960
% 27.31/11.22 #Fact : 0
% 27.31/11.22 #Define : 0
% 27.31/11.22 #Split : 28
% 27.31/11.22 #Chain : 0
% 27.31/11.22 #Close : 0
% 27.31/11.22
% 27.31/11.22 Ordering : KBO
% 27.31/11.22
% 27.31/11.22 Simplification rules
% 27.31/11.22 ----------------------
% 27.31/11.22 #Subsume : 420
% 27.31/11.22 #Demod : 15727
% 27.31/11.22 #Tautology : 6130
% 27.31/11.22 #SimpNegUnit : 3024
% 27.31/11.22 #BackRed : 8
% 27.31/11.22
% 27.31/11.22 #Partial instantiations: 0
% 27.31/11.22 #Strategies tried : 1
% 27.31/11.22
% 27.31/11.22 Timing (in seconds)
% 27.31/11.22 ----------------------
% 27.31/11.23 Preprocessing : 0.68
% 27.56/11.23 Parsing : 0.30
% 27.56/11.23 CNF conversion : 0.07
% 27.56/11.23 Main loop : 9.36
% 27.56/11.23 Inferencing : 3.36
% 27.56/11.23 Reduction : 2.99
% 27.56/11.23 Demodulation : 2.04
% 27.56/11.23 BG Simplification : 0.34
% 27.56/11.23 Subsumption : 2.09
% 27.56/11.23 Abstraction : 0.48
% 27.56/11.23 MUC search : 0.00
% 27.56/11.23 Cooper : 0.00
% 27.56/11.23 Total : 10.14
% 27.56/11.23 Index Insertion : 0.00
% 27.56/11.23 Index Deletion : 0.00
% 27.56/11.23 Index Matching : 0.00
% 27.56/11.23 BG Taut test : 0.00
%------------------------------------------------------------------------------