TSTP Solution File: SEU359+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU359+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:58:31 EDT 2023
% Result : Theorem 6.51s 2.60s
% Output : CNFRefutation 7.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 24
% Syntax : Number of formulae : 305 ( 87 unt; 20 typ; 0 def)
% Number of atoms : 970 ( 60 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1272 ( 587 ~; 656 |; 10 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 13 >; 12 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 246 (; 245 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ relstr_set_smaller > related > ex_sup_of_relstr_set > element > rel_str > one_sorted_str > antisymmetric_relstr > join_on_relstr > #nlpp > the_carrier > #skF_6 > #skF_1 > #skF_4 > #skF_11 > #skF_7 > #skF_10 > #skF_5 > #skF_2 > #skF_3 > #skF_9 > #skF_8
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(related,type,
related: ( $i * $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': $i ).
tff(the_carrier,type,
the_carrier: $i > $i ).
tff(relstr_set_smaller,type,
relstr_set_smaller: ( $i * $i * $i ) > $o ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(antisymmetric_relstr,type,
antisymmetric_relstr: $i > $o ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(one_sorted_str,type,
one_sorted_str: $i > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(ex_sup_of_relstr_set,type,
ex_sup_of_relstr_set: ( $i * $i ) > $o ).
tff(join_on_relstr,type,
join_on_relstr: ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff(rel_str,type,
rel_str: $i > $o ).
tff(f_114,negated_conjecture,
~ ! [A] :
( ( antisymmetric_relstr(A)
& rel_str(A) )
=> ! [B] :
( element(B,the_carrier(A))
=> ! [C] :
( ( ( ( B = join_on_relstr(A,C) )
& ex_sup_of_relstr_set(A,C) )
=> ( relstr_set_smaller(A,C,B)
& ! [D] :
( element(D,the_carrier(A))
=> ( relstr_set_smaller(A,C,D)
=> related(A,B,D) ) ) ) )
& ( ( relstr_set_smaller(A,C,B)
& ! [D] :
( element(D,the_carrier(A))
=> ( relstr_set_smaller(A,C,D)
=> related(A,B,D) ) ) )
=> ( ( B = join_on_relstr(A,C) )
& ex_sup_of_relstr_set(A,C) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_yellow_0) ).
tff(f_44,axiom,
! [A] :
( rel_str(A)
=> ! [B,C] :
( element(C,the_carrier(A))
=> ( ex_sup_of_relstr_set(A,B)
=> ( ( C = join_on_relstr(A,B) )
<=> ( relstr_set_smaller(A,B,C)
& ! [D] :
( element(D,the_carrier(A))
=> ( relstr_set_smaller(A,B,D)
=> related(A,C,D) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_yellow_0) ).
tff(f_48,axiom,
! [A,B] :
( rel_str(A)
=> element(join_on_relstr(A,B),the_carrier(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
tff(f_79,axiom,
! [A] :
( ( antisymmetric_relstr(A)
& rel_str(A) )
=> ! [B] :
( ex_sup_of_relstr_set(A,B)
<=> ? [C] :
( element(C,the_carrier(A))
& relstr_set_smaller(A,B,C)
& ! [D] :
( element(D,the_carrier(A))
=> ( relstr_set_smaller(A,B,D)
=> related(A,C,D) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_yellow_0) ).
tff(c_62,plain,
( relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| element('#skF_11',the_carrier('#skF_7'))
| ~ relstr_set_smaller('#skF_7','#skF_10','#skF_8') ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_99,plain,
~ relstr_set_smaller('#skF_7','#skF_10','#skF_8'),
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_42,plain,
rel_str('#skF_7'),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_40,plain,
element('#skF_8',the_carrier('#skF_7')),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_68,plain,
( relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| ex_sup_of_relstr_set('#skF_7','#skF_10') ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_85,plain,
ex_sup_of_relstr_set('#skF_7','#skF_10'),
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_74,plain,
( relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| ( join_on_relstr('#skF_7','#skF_10') = '#skF_8' ) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_87,plain,
join_on_relstr('#skF_7','#skF_10') = '#skF_8',
inference(splitLeft,[status(thm)],[c_74]) ).
tff(c_104,plain,
! [A_70,B_71] :
( relstr_set_smaller(A_70,B_71,join_on_relstr(A_70,B_71))
| ~ ex_sup_of_relstr_set(A_70,B_71)
| ~ element(join_on_relstr(A_70,B_71),the_carrier(A_70))
| ~ rel_str(A_70) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_106,plain,
( relstr_set_smaller('#skF_7','#skF_10',join_on_relstr('#skF_7','#skF_10'))
| ~ ex_sup_of_relstr_set('#skF_7','#skF_10')
| ~ element('#skF_8',the_carrier('#skF_7'))
| ~ rel_str('#skF_7') ),
inference(superposition,[status(thm),theory(equality)],[c_87,c_104]) ).
tff(c_110,plain,
relstr_set_smaller('#skF_7','#skF_10','#skF_8'),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_40,c_85,c_87,c_106]) ).
tff(c_112,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99,c_110]) ).
tff(c_114,plain,
relstr_set_smaller('#skF_7','#skF_10','#skF_8'),
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_50,plain,
( relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| ~ related('#skF_7','#skF_8','#skF_11')
| ~ relstr_set_smaller('#skF_7','#skF_10','#skF_8') ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_116,plain,
( relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| ~ related('#skF_7','#skF_8','#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_50]) ).
tff(c_117,plain,
~ related('#skF_7','#skF_8','#skF_11'),
inference(splitLeft,[status(thm)],[c_116]) ).
tff(c_58,plain,
( ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ( join_on_relstr('#skF_7','#skF_9') != '#skF_8' )
| element('#skF_11',the_carrier('#skF_7'))
| ~ relstr_set_smaller('#skF_7','#skF_10','#skF_8') ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_125,plain,
( ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ( join_on_relstr('#skF_7','#skF_9') != '#skF_8' )
| element('#skF_11',the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_58]) ).
tff(c_126,plain,
join_on_relstr('#skF_7','#skF_9') != '#skF_8',
inference(splitLeft,[status(thm)],[c_125]) ).
tff(c_113,plain,
( element('#skF_11',the_carrier('#skF_7'))
| relstr_set_smaller('#skF_7','#skF_9','#skF_8') ),
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_118,plain,
relstr_set_smaller('#skF_7','#skF_9','#skF_8'),
inference(splitLeft,[status(thm)],[c_113]) ).
tff(c_12,plain,
! [A_13,B_14] :
( element(join_on_relstr(A_13,B_14),the_carrier(A_13))
| ~ rel_str(A_13) ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_132,plain,
! [A_76,B_77] :
( relstr_set_smaller(A_76,B_77,join_on_relstr(A_76,B_77))
| ~ ex_sup_of_relstr_set(A_76,B_77)
| ~ element(join_on_relstr(A_76,B_77),the_carrier(A_76))
| ~ rel_str(A_76) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_139,plain,
! [A_13,B_14] :
( relstr_set_smaller(A_13,B_14,join_on_relstr(A_13,B_14))
| ~ ex_sup_of_relstr_set(A_13,B_14)
| ~ rel_str(A_13) ),
inference(resolution,[status(thm)],[c_12,c_132]) ).
tff(c_54,plain,
! [D_60] :
( related('#skF_7','#skF_8',D_60)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_60)
| ~ element(D_60,the_carrier('#skF_7'))
| relstr_set_smaller('#skF_7','#skF_10','#skF_11')
| ~ relstr_set_smaller('#skF_7','#skF_10','#skF_8') ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_147,plain,
! [D_60] :
( related('#skF_7','#skF_8',D_60)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_60)
| ~ element(D_60,the_carrier('#skF_7'))
| relstr_set_smaller('#skF_7','#skF_10','#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_54]) ).
tff(c_148,plain,
relstr_set_smaller('#skF_7','#skF_10','#skF_11'),
inference(splitLeft,[status(thm)],[c_147]) ).
tff(c_60,plain,
! [D_60] :
( related('#skF_7','#skF_8',D_60)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_60)
| ~ element(D_60,the_carrier('#skF_7'))
| element('#skF_11',the_carrier('#skF_7'))
| ~ relstr_set_smaller('#skF_7','#skF_10','#skF_8') ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_150,plain,
! [D_60] :
( related('#skF_7','#skF_8',D_60)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_60)
| ~ element(D_60,the_carrier('#skF_7'))
| element('#skF_11',the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_60]) ).
tff(c_151,plain,
element('#skF_11',the_carrier('#skF_7')),
inference(splitLeft,[status(thm)],[c_150]) ).
tff(c_171,plain,
! [A_101,B_102,D_103] :
( related(A_101,join_on_relstr(A_101,B_102),D_103)
| ~ relstr_set_smaller(A_101,B_102,D_103)
| ~ element(D_103,the_carrier(A_101))
| ~ ex_sup_of_relstr_set(A_101,B_102)
| ~ element(join_on_relstr(A_101,B_102),the_carrier(A_101))
| ~ rel_str(A_101) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_173,plain,
! [D_103] :
( related('#skF_7',join_on_relstr('#skF_7','#skF_10'),D_103)
| ~ relstr_set_smaller('#skF_7','#skF_10',D_103)
| ~ element(D_103,the_carrier('#skF_7'))
| ~ ex_sup_of_relstr_set('#skF_7','#skF_10')
| ~ element('#skF_8',the_carrier('#skF_7'))
| ~ rel_str('#skF_7') ),
inference(superposition,[status(thm),theory(equality)],[c_87,c_171]) ).
tff(c_179,plain,
! [D_104] :
( related('#skF_7','#skF_8',D_104)
| ~ relstr_set_smaller('#skF_7','#skF_10',D_104)
| ~ element(D_104,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_40,c_85,c_87,c_173]) ).
tff(c_190,plain,
( related('#skF_7','#skF_8','#skF_11')
| ~ relstr_set_smaller('#skF_7','#skF_10','#skF_11') ),
inference(resolution,[status(thm)],[c_151,c_179]) ).
tff(c_214,plain,
related('#skF_7','#skF_8','#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_148,c_190]) ).
tff(c_216,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117,c_214]) ).
tff(c_221,plain,
! [D_105] :
( related('#skF_7','#skF_8',D_105)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_105)
| ~ element(D_105,the_carrier('#skF_7')) ),
inference(splitRight,[status(thm)],[c_150]) ).
tff(c_229,plain,
! [B_14] :
( related('#skF_7','#skF_8',join_on_relstr('#skF_7',B_14))
| ~ relstr_set_smaller('#skF_7','#skF_9',join_on_relstr('#skF_7',B_14))
| ~ rel_str('#skF_7') ),
inference(resolution,[status(thm)],[c_12,c_221]) ).
tff(c_248,plain,
! [B_106] :
( related('#skF_7','#skF_8',join_on_relstr('#skF_7',B_106))
| ~ relstr_set_smaller('#skF_7','#skF_9',join_on_relstr('#skF_7',B_106)) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_229]) ).
tff(c_252,plain,
( related('#skF_7','#skF_8',join_on_relstr('#skF_7','#skF_9'))
| ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ rel_str('#skF_7') ),
inference(resolution,[status(thm)],[c_139,c_248]) ).
tff(c_258,plain,
( related('#skF_7','#skF_8',join_on_relstr('#skF_7','#skF_9'))
| ~ ex_sup_of_relstr_set('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_252]) ).
tff(c_262,plain,
~ ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(splitLeft,[status(thm)],[c_258]) ).
tff(c_44,plain,
antisymmetric_relstr('#skF_7'),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_36,plain,
! [A_18,B_32,C_39] :
( relstr_set_smaller(A_18,B_32,'#skF_5'(A_18,B_32,C_39))
| ex_sup_of_relstr_set(A_18,B_32)
| ~ relstr_set_smaller(A_18,B_32,C_39)
| ~ element(C_39,the_carrier(A_18))
| ~ rel_str(A_18)
| ~ antisymmetric_relstr(A_18) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_278,plain,
! [A_117,B_118,C_119] :
( element('#skF_5'(A_117,B_118,C_119),the_carrier(A_117))
| ex_sup_of_relstr_set(A_117,B_118)
| ~ relstr_set_smaller(A_117,B_118,C_119)
| ~ element(C_119,the_carrier(A_117))
| ~ rel_str(A_117)
| ~ antisymmetric_relstr(A_117) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_217,plain,
! [D_60] :
( related('#skF_7','#skF_8',D_60)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_60)
| ~ element(D_60,the_carrier('#skF_7')) ),
inference(splitRight,[status(thm)],[c_150]) ).
tff(c_282,plain,
! [B_118,C_119] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7',B_118,C_119))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_5'('#skF_7',B_118,C_119))
| ex_sup_of_relstr_set('#skF_7',B_118)
| ~ relstr_set_smaller('#skF_7',B_118,C_119)
| ~ element(C_119,the_carrier('#skF_7'))
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_278,c_217]) ).
tff(c_363,plain,
! [B_134,C_135] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7',B_134,C_135))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_5'('#skF_7',B_134,C_135))
| ex_sup_of_relstr_set('#skF_7',B_134)
| ~ relstr_set_smaller('#skF_7',B_134,C_135)
| ~ element(C_135,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_282]) ).
tff(c_367,plain,
! [C_39] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_39))
| ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ relstr_set_smaller('#skF_7','#skF_9',C_39)
| ~ element(C_39,the_carrier('#skF_7'))
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_36,c_363]) ).
tff(c_370,plain,
! [C_39] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_39))
| ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ relstr_set_smaller('#skF_7','#skF_9',C_39)
| ~ element(C_39,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_367]) ).
tff(c_380,plain,
! [C_137] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_137))
| ~ relstr_set_smaller('#skF_7','#skF_9',C_137)
| ~ element(C_137,the_carrier('#skF_7')) ),
inference(negUnitSimplification,[status(thm)],[c_262,c_370]) ).
tff(c_34,plain,
! [A_18,C_39,B_32] :
( ~ related(A_18,C_39,'#skF_5'(A_18,B_32,C_39))
| ex_sup_of_relstr_set(A_18,B_32)
| ~ relstr_set_smaller(A_18,B_32,C_39)
| ~ element(C_39,the_carrier(A_18))
| ~ rel_str(A_18)
| ~ antisymmetric_relstr(A_18) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_384,plain,
( ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7')
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| ~ element('#skF_8',the_carrier('#skF_7')) ),
inference(resolution,[status(thm)],[c_380,c_34]) ).
tff(c_387,plain,
ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_118,c_44,c_42,c_384]) ).
tff(c_389,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_262,c_387]) ).
tff(c_391,plain,
ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(splitRight,[status(thm)],[c_258]) ).
tff(c_4,plain,
! [A_1,B_8,C_9] :
( relstr_set_smaller(A_1,B_8,'#skF_1'(A_1,B_8,C_9))
| ( join_on_relstr(A_1,B_8) = C_9 )
| ~ relstr_set_smaller(A_1,B_8,C_9)
| ~ ex_sup_of_relstr_set(A_1,B_8)
| ~ element(C_9,the_carrier(A_1))
| ~ rel_str(A_1) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_421,plain,
! [A_151,B_152,C_153] :
( element('#skF_1'(A_151,B_152,C_153),the_carrier(A_151))
| ( join_on_relstr(A_151,B_152) = C_153 )
| ~ relstr_set_smaller(A_151,B_152,C_153)
| ~ ex_sup_of_relstr_set(A_151,B_152)
| ~ element(C_153,the_carrier(A_151))
| ~ rel_str(A_151) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_425,plain,
! [B_152,C_153] :
( related('#skF_7','#skF_8','#skF_1'('#skF_7',B_152,C_153))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_1'('#skF_7',B_152,C_153))
| ( join_on_relstr('#skF_7',B_152) = C_153 )
| ~ relstr_set_smaller('#skF_7',B_152,C_153)
| ~ ex_sup_of_relstr_set('#skF_7',B_152)
| ~ element(C_153,the_carrier('#skF_7'))
| ~ rel_str('#skF_7') ),
inference(resolution,[status(thm)],[c_421,c_217]) ).
tff(c_532,plain,
! [B_170,C_171] :
( related('#skF_7','#skF_8','#skF_1'('#skF_7',B_170,C_171))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_1'('#skF_7',B_170,C_171))
| ( join_on_relstr('#skF_7',B_170) = C_171 )
| ~ relstr_set_smaller('#skF_7',B_170,C_171)
| ~ ex_sup_of_relstr_set('#skF_7',B_170)
| ~ element(C_171,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_425]) ).
tff(c_536,plain,
! [C_9] :
( related('#skF_7','#skF_8','#skF_1'('#skF_7','#skF_9',C_9))
| ( join_on_relstr('#skF_7','#skF_9') = C_9 )
| ~ relstr_set_smaller('#skF_7','#skF_9',C_9)
| ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ element(C_9,the_carrier('#skF_7'))
| ~ rel_str('#skF_7') ),
inference(resolution,[status(thm)],[c_4,c_532]) ).
tff(c_545,plain,
! [C_175] :
( related('#skF_7','#skF_8','#skF_1'('#skF_7','#skF_9',C_175))
| ( join_on_relstr('#skF_7','#skF_9') = C_175 )
| ~ relstr_set_smaller('#skF_7','#skF_9',C_175)
| ~ element(C_175,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_391,c_536]) ).
tff(c_2,plain,
! [A_1,C_9,B_8] :
( ~ related(A_1,C_9,'#skF_1'(A_1,B_8,C_9))
| ( join_on_relstr(A_1,B_8) = C_9 )
| ~ relstr_set_smaller(A_1,B_8,C_9)
| ~ ex_sup_of_relstr_set(A_1,B_8)
| ~ element(C_9,the_carrier(A_1))
| ~ rel_str(A_1) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_549,plain,
( ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ rel_str('#skF_7')
| ( join_on_relstr('#skF_7','#skF_9') = '#skF_8' )
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| ~ element('#skF_8',the_carrier('#skF_7')) ),
inference(resolution,[status(thm)],[c_545,c_2]) ).
tff(c_552,plain,
join_on_relstr('#skF_7','#skF_9') = '#skF_8',
inference(demodulation,[status(thm),theory(equality)],[c_40,c_118,c_42,c_391,c_549]) ).
tff(c_554,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126,c_552]) ).
tff(c_557,plain,
! [D_176] :
( related('#skF_7','#skF_8',D_176)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_176)
| ~ element(D_176,the_carrier('#skF_7')) ),
inference(splitRight,[status(thm)],[c_147]) ).
tff(c_565,plain,
! [B_14] :
( related('#skF_7','#skF_8',join_on_relstr('#skF_7',B_14))
| ~ relstr_set_smaller('#skF_7','#skF_9',join_on_relstr('#skF_7',B_14))
| ~ rel_str('#skF_7') ),
inference(resolution,[status(thm)],[c_12,c_557]) ).
tff(c_586,plain,
! [B_177] :
( related('#skF_7','#skF_8',join_on_relstr('#skF_7',B_177))
| ~ relstr_set_smaller('#skF_7','#skF_9',join_on_relstr('#skF_7',B_177)) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_565]) ).
tff(c_590,plain,
( related('#skF_7','#skF_8',join_on_relstr('#skF_7','#skF_9'))
| ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ rel_str('#skF_7') ),
inference(resolution,[status(thm)],[c_139,c_586]) ).
tff(c_596,plain,
( related('#skF_7','#skF_8',join_on_relstr('#skF_7','#skF_9'))
| ~ ex_sup_of_relstr_set('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_590]) ).
tff(c_599,plain,
~ ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(splitLeft,[status(thm)],[c_596]) ).
tff(c_611,plain,
! [A_182,B_183,C_184] :
( element('#skF_5'(A_182,B_183,C_184),the_carrier(A_182))
| ex_sup_of_relstr_set(A_182,B_183)
| ~ relstr_set_smaller(A_182,B_183,C_184)
| ~ element(C_184,the_carrier(A_182))
| ~ rel_str(A_182)
| ~ antisymmetric_relstr(A_182) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_555,plain,
! [D_60] :
( related('#skF_7','#skF_8',D_60)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_60)
| ~ element(D_60,the_carrier('#skF_7')) ),
inference(splitRight,[status(thm)],[c_147]) ).
tff(c_615,plain,
! [B_183,C_184] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7',B_183,C_184))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_5'('#skF_7',B_183,C_184))
| ex_sup_of_relstr_set('#skF_7',B_183)
| ~ relstr_set_smaller('#skF_7',B_183,C_184)
| ~ element(C_184,the_carrier('#skF_7'))
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_611,c_555]) ).
tff(c_703,plain,
! [B_205,C_206] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7',B_205,C_206))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_5'('#skF_7',B_205,C_206))
| ex_sup_of_relstr_set('#skF_7',B_205)
| ~ relstr_set_smaller('#skF_7',B_205,C_206)
| ~ element(C_206,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_615]) ).
tff(c_707,plain,
! [C_39] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_39))
| ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ relstr_set_smaller('#skF_7','#skF_9',C_39)
| ~ element(C_39,the_carrier('#skF_7'))
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_36,c_703]) ).
tff(c_710,plain,
! [C_39] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_39))
| ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ relstr_set_smaller('#skF_7','#skF_9',C_39)
| ~ element(C_39,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_707]) ).
tff(c_720,plain,
! [C_208] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_208))
| ~ relstr_set_smaller('#skF_7','#skF_9',C_208)
| ~ element(C_208,the_carrier('#skF_7')) ),
inference(negUnitSimplification,[status(thm)],[c_599,c_710]) ).
tff(c_724,plain,
( ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7')
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| ~ element('#skF_8',the_carrier('#skF_7')) ),
inference(resolution,[status(thm)],[c_720,c_34]) ).
tff(c_727,plain,
ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_118,c_44,c_42,c_724]) ).
tff(c_729,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_599,c_727]) ).
tff(c_731,plain,
ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(splitRight,[status(thm)],[c_596]) ).
tff(c_765,plain,
! [A_228,B_229,C_230] :
( element('#skF_1'(A_228,B_229,C_230),the_carrier(A_228))
| ( join_on_relstr(A_228,B_229) = C_230 )
| ~ relstr_set_smaller(A_228,B_229,C_230)
| ~ ex_sup_of_relstr_set(A_228,B_229)
| ~ element(C_230,the_carrier(A_228))
| ~ rel_str(A_228) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_769,plain,
! [B_229,C_230] :
( related('#skF_7','#skF_8','#skF_1'('#skF_7',B_229,C_230))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_1'('#skF_7',B_229,C_230))
| ( join_on_relstr('#skF_7',B_229) = C_230 )
| ~ relstr_set_smaller('#skF_7',B_229,C_230)
| ~ ex_sup_of_relstr_set('#skF_7',B_229)
| ~ element(C_230,the_carrier('#skF_7'))
| ~ rel_str('#skF_7') ),
inference(resolution,[status(thm)],[c_765,c_555]) ).
tff(c_867,plain,
! [B_242,C_243] :
( related('#skF_7','#skF_8','#skF_1'('#skF_7',B_242,C_243))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_1'('#skF_7',B_242,C_243))
| ( join_on_relstr('#skF_7',B_242) = C_243 )
| ~ relstr_set_smaller('#skF_7',B_242,C_243)
| ~ ex_sup_of_relstr_set('#skF_7',B_242)
| ~ element(C_243,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_769]) ).
tff(c_871,plain,
! [C_9] :
( related('#skF_7','#skF_8','#skF_1'('#skF_7','#skF_9',C_9))
| ( join_on_relstr('#skF_7','#skF_9') = C_9 )
| ~ relstr_set_smaller('#skF_7','#skF_9',C_9)
| ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ element(C_9,the_carrier('#skF_7'))
| ~ rel_str('#skF_7') ),
inference(resolution,[status(thm)],[c_4,c_867]) ).
tff(c_875,plain,
! [C_244] :
( related('#skF_7','#skF_8','#skF_1'('#skF_7','#skF_9',C_244))
| ( join_on_relstr('#skF_7','#skF_9') = C_244 )
| ~ relstr_set_smaller('#skF_7','#skF_9',C_244)
| ~ element(C_244,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_731,c_871]) ).
tff(c_879,plain,
( ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ rel_str('#skF_7')
| ( join_on_relstr('#skF_7','#skF_9') = '#skF_8' )
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| ~ element('#skF_8',the_carrier('#skF_7')) ),
inference(resolution,[status(thm)],[c_875,c_2]) ).
tff(c_882,plain,
join_on_relstr('#skF_7','#skF_9') = '#skF_8',
inference(demodulation,[status(thm),theory(equality)],[c_40,c_118,c_42,c_731,c_879]) ).
tff(c_884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126,c_882]) ).
tff(c_886,plain,
join_on_relstr('#skF_7','#skF_9') = '#skF_8',
inference(splitRight,[status(thm)],[c_125]) ).
tff(c_885,plain,
( ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| element('#skF_11',the_carrier('#skF_7')) ),
inference(splitRight,[status(thm)],[c_125]) ).
tff(c_896,plain,
~ ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(splitLeft,[status(thm)],[c_885]) ).
tff(c_1252,plain,
! [A_316,B_317,C_318] :
( element('#skF_5'(A_316,B_317,C_318),the_carrier(A_316))
| ex_sup_of_relstr_set(A_316,B_317)
| ~ relstr_set_smaller(A_316,B_317,C_318)
| ~ element(C_318,the_carrier(A_316))
| ~ rel_str(A_316)
| ~ antisymmetric_relstr(A_316) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_1064,plain,
! [A_283,B_284,C_285] :
( element('#skF_5'(A_283,B_284,C_285),the_carrier(A_283))
| ex_sup_of_relstr_set(A_283,B_284)
| ~ relstr_set_smaller(A_283,B_284,C_285)
| ~ element(C_285,the_carrier(A_283))
| ~ rel_str(A_283)
| ~ antisymmetric_relstr(A_283) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_926,plain,
! [D_60] :
( related('#skF_7','#skF_8',D_60)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_60)
| ~ element(D_60,the_carrier('#skF_7'))
| relstr_set_smaller('#skF_7','#skF_10','#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_54]) ).
tff(c_927,plain,
relstr_set_smaller('#skF_7','#skF_10','#skF_11'),
inference(splitLeft,[status(thm)],[c_926]) ).
tff(c_929,plain,
! [D_60] :
( related('#skF_7','#skF_8',D_60)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_60)
| ~ element(D_60,the_carrier('#skF_7'))
| element('#skF_11',the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_60]) ).
tff(c_930,plain,
element('#skF_11',the_carrier('#skF_7')),
inference(splitLeft,[status(thm)],[c_929]) ).
tff(c_950,plain,
! [A_270,B_271,D_272] :
( related(A_270,join_on_relstr(A_270,B_271),D_272)
| ~ relstr_set_smaller(A_270,B_271,D_272)
| ~ element(D_272,the_carrier(A_270))
| ~ ex_sup_of_relstr_set(A_270,B_271)
| ~ element(join_on_relstr(A_270,B_271),the_carrier(A_270))
| ~ rel_str(A_270) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_954,plain,
! [D_272] :
( related('#skF_7',join_on_relstr('#skF_7','#skF_10'),D_272)
| ~ relstr_set_smaller('#skF_7','#skF_10',D_272)
| ~ element(D_272,the_carrier('#skF_7'))
| ~ ex_sup_of_relstr_set('#skF_7','#skF_10')
| ~ element('#skF_8',the_carrier('#skF_7'))
| ~ rel_str('#skF_7') ),
inference(superposition,[status(thm),theory(equality)],[c_87,c_950]) ).
tff(c_962,plain,
! [D_273] :
( related('#skF_7','#skF_8',D_273)
| ~ relstr_set_smaller('#skF_7','#skF_10',D_273)
| ~ element(D_273,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_40,c_85,c_87,c_954]) ).
tff(c_973,plain,
( related('#skF_7','#skF_8','#skF_11')
| ~ relstr_set_smaller('#skF_7','#skF_10','#skF_11') ),
inference(resolution,[status(thm)],[c_930,c_962]) ).
tff(c_997,plain,
related('#skF_7','#skF_8','#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_927,c_973]) ).
tff(c_999,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117,c_997]) ).
tff(c_1000,plain,
! [D_60] :
( related('#skF_7','#skF_8',D_60)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_60)
| ~ element(D_60,the_carrier('#skF_7')) ),
inference(splitRight,[status(thm)],[c_929]) ).
tff(c_1068,plain,
! [B_284,C_285] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7',B_284,C_285))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_5'('#skF_7',B_284,C_285))
| ex_sup_of_relstr_set('#skF_7',B_284)
| ~ relstr_set_smaller('#skF_7',B_284,C_285)
| ~ element(C_285,the_carrier('#skF_7'))
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_1064,c_1000]) ).
tff(c_1159,plain,
! [B_303,C_304] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7',B_303,C_304))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_5'('#skF_7',B_303,C_304))
| ex_sup_of_relstr_set('#skF_7',B_303)
| ~ relstr_set_smaller('#skF_7',B_303,C_304)
| ~ element(C_304,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_1068]) ).
tff(c_1163,plain,
! [C_39] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_39))
| ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ relstr_set_smaller('#skF_7','#skF_9',C_39)
| ~ element(C_39,the_carrier('#skF_7'))
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_36,c_1159]) ).
tff(c_1166,plain,
! [C_39] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_39))
| ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ relstr_set_smaller('#skF_7','#skF_9',C_39)
| ~ element(C_39,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_1163]) ).
tff(c_1176,plain,
! [C_306] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_306))
| ~ relstr_set_smaller('#skF_7','#skF_9',C_306)
| ~ element(C_306,the_carrier('#skF_7')) ),
inference(negUnitSimplification,[status(thm)],[c_896,c_1166]) ).
tff(c_1180,plain,
( ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7')
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| ~ element('#skF_8',the_carrier('#skF_7')) ),
inference(resolution,[status(thm)],[c_1176,c_34]) ).
tff(c_1183,plain,
ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_118,c_44,c_42,c_1180]) ).
tff(c_1185,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_896,c_1183]) ).
tff(c_1186,plain,
! [D_60] :
( related('#skF_7','#skF_8',D_60)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_60)
| ~ element(D_60,the_carrier('#skF_7')) ),
inference(splitRight,[status(thm)],[c_926]) ).
tff(c_1256,plain,
! [B_317,C_318] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7',B_317,C_318))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_5'('#skF_7',B_317,C_318))
| ex_sup_of_relstr_set('#skF_7',B_317)
| ~ relstr_set_smaller('#skF_7',B_317,C_318)
| ~ element(C_318,the_carrier('#skF_7'))
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_1252,c_1186]) ).
tff(c_1276,plain,
! [B_331,C_332] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7',B_331,C_332))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_5'('#skF_7',B_331,C_332))
| ex_sup_of_relstr_set('#skF_7',B_331)
| ~ relstr_set_smaller('#skF_7',B_331,C_332)
| ~ element(C_332,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_1256]) ).
tff(c_1280,plain,
! [C_39] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_39))
| ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ relstr_set_smaller('#skF_7','#skF_9',C_39)
| ~ element(C_39,the_carrier('#skF_7'))
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_36,c_1276]) ).
tff(c_1283,plain,
! [C_39] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_39))
| ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ relstr_set_smaller('#skF_7','#skF_9',C_39)
| ~ element(C_39,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_1280]) ).
tff(c_1285,plain,
! [C_333] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_333))
| ~ relstr_set_smaller('#skF_7','#skF_9',C_333)
| ~ element(C_333,the_carrier('#skF_7')) ),
inference(negUnitSimplification,[status(thm)],[c_896,c_1283]) ).
tff(c_1289,plain,
( ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7')
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| ~ element('#skF_8',the_carrier('#skF_7')) ),
inference(resolution,[status(thm)],[c_1285,c_34]) ).
tff(c_1292,plain,
ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_118,c_44,c_42,c_1289]) ).
tff(c_1294,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_896,c_1292]) ).
tff(c_1296,plain,
ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(splitRight,[status(thm)],[c_885]) ).
tff(c_52,plain,
( ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ( join_on_relstr('#skF_7','#skF_9') != '#skF_8' )
| relstr_set_smaller('#skF_7','#skF_10','#skF_11')
| ~ relstr_set_smaller('#skF_7','#skF_10','#skF_8') ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_1300,plain,
relstr_set_smaller('#skF_7','#skF_10','#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_886,c_1296,c_52]) ).
tff(c_1295,plain,
element('#skF_11',the_carrier('#skF_7')),
inference(splitRight,[status(thm)],[c_885]) ).
tff(c_1348,plain,
! [A_359,B_360,D_361] :
( related(A_359,join_on_relstr(A_359,B_360),D_361)
| ~ relstr_set_smaller(A_359,B_360,D_361)
| ~ element(D_361,the_carrier(A_359))
| ~ ex_sup_of_relstr_set(A_359,B_360)
| ~ element(join_on_relstr(A_359,B_360),the_carrier(A_359))
| ~ rel_str(A_359) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_1352,plain,
! [D_361] :
( related('#skF_7',join_on_relstr('#skF_7','#skF_10'),D_361)
| ~ relstr_set_smaller('#skF_7','#skF_10',D_361)
| ~ element(D_361,the_carrier('#skF_7'))
| ~ ex_sup_of_relstr_set('#skF_7','#skF_10')
| ~ element('#skF_8',the_carrier('#skF_7'))
| ~ rel_str('#skF_7') ),
inference(superposition,[status(thm),theory(equality)],[c_87,c_1348]) ).
tff(c_1360,plain,
! [D_362] :
( related('#skF_7','#skF_8',D_362)
| ~ relstr_set_smaller('#skF_7','#skF_10',D_362)
| ~ element(D_362,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_40,c_85,c_87,c_1352]) ).
tff(c_1371,plain,
( related('#skF_7','#skF_8','#skF_11')
| ~ relstr_set_smaller('#skF_7','#skF_10','#skF_11') ),
inference(resolution,[status(thm)],[c_1295,c_1360]) ).
tff(c_1395,plain,
related('#skF_7','#skF_8','#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_1300,c_1371]) ).
tff(c_1397,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117,c_1395]) ).
tff(c_1399,plain,
~ relstr_set_smaller('#skF_7','#skF_9','#skF_8'),
inference(splitRight,[status(thm)],[c_113]) ).
tff(c_56,plain,
( relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| relstr_set_smaller('#skF_7','#skF_10','#skF_11')
| ~ relstr_set_smaller('#skF_7','#skF_10','#skF_8') ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_1401,plain,
( relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| relstr_set_smaller('#skF_7','#skF_10','#skF_11') ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_56]) ).
tff(c_1402,plain,
relstr_set_smaller('#skF_7','#skF_10','#skF_11'),
inference(negUnitSimplification,[status(thm)],[c_1399,c_1401]) ).
tff(c_1398,plain,
element('#skF_11',the_carrier('#skF_7')),
inference(splitRight,[status(thm)],[c_113]) ).
tff(c_1450,plain,
! [A_392,B_393,D_394] :
( related(A_392,join_on_relstr(A_392,B_393),D_394)
| ~ relstr_set_smaller(A_392,B_393,D_394)
| ~ element(D_394,the_carrier(A_392))
| ~ ex_sup_of_relstr_set(A_392,B_393)
| ~ element(join_on_relstr(A_392,B_393),the_carrier(A_392))
| ~ rel_str(A_392) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_1452,plain,
! [D_394] :
( related('#skF_7',join_on_relstr('#skF_7','#skF_10'),D_394)
| ~ relstr_set_smaller('#skF_7','#skF_10',D_394)
| ~ element(D_394,the_carrier('#skF_7'))
| ~ ex_sup_of_relstr_set('#skF_7','#skF_10')
| ~ element('#skF_8',the_carrier('#skF_7'))
| ~ rel_str('#skF_7') ),
inference(superposition,[status(thm),theory(equality)],[c_87,c_1450]) ).
tff(c_1458,plain,
! [D_395] :
( related('#skF_7','#skF_8',D_395)
| ~ relstr_set_smaller('#skF_7','#skF_10',D_395)
| ~ element(D_395,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_40,c_85,c_87,c_1452]) ).
tff(c_1473,plain,
( related('#skF_7','#skF_8','#skF_11')
| ~ relstr_set_smaller('#skF_7','#skF_10','#skF_11') ),
inference(resolution,[status(thm)],[c_1398,c_1458]) ).
tff(c_1496,plain,
related('#skF_7','#skF_8','#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_1402,c_1473]) ).
tff(c_1498,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117,c_1496]) ).
tff(c_1500,plain,
related('#skF_7','#skF_8','#skF_11'),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_1508,plain,
( ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ( join_on_relstr('#skF_7','#skF_9') != '#skF_8' )
| element('#skF_11',the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_58]) ).
tff(c_1509,plain,
join_on_relstr('#skF_7','#skF_9') != '#skF_8',
inference(splitLeft,[status(thm)],[c_1508]) ).
tff(c_1499,plain,
relstr_set_smaller('#skF_7','#skF_9','#skF_8'),
inference(splitRight,[status(thm)],[c_116]) ).
tff(c_1515,plain,
! [A_400,B_401] :
( relstr_set_smaller(A_400,B_401,join_on_relstr(A_400,B_401))
| ~ ex_sup_of_relstr_set(A_400,B_401)
| ~ element(join_on_relstr(A_400,B_401),the_carrier(A_400))
| ~ rel_str(A_400) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_1522,plain,
! [A_13,B_14] :
( relstr_set_smaller(A_13,B_14,join_on_relstr(A_13,B_14))
| ~ ex_sup_of_relstr_set(A_13,B_14)
| ~ rel_str(A_13) ),
inference(resolution,[status(thm)],[c_12,c_1515]) ).
tff(c_48,plain,
! [D_60] :
( related('#skF_7','#skF_8',D_60)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_60)
| ~ element(D_60,the_carrier('#skF_7'))
| ~ related('#skF_7','#skF_8','#skF_11')
| ~ relstr_set_smaller('#skF_7','#skF_10','#skF_8') ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_1537,plain,
! [D_404] :
( related('#skF_7','#skF_8',D_404)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_404)
| ~ element(D_404,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_1500,c_48]) ).
tff(c_1548,plain,
! [B_14] :
( related('#skF_7','#skF_8',join_on_relstr('#skF_7',B_14))
| ~ relstr_set_smaller('#skF_7','#skF_9',join_on_relstr('#skF_7',B_14))
| ~ rel_str('#skF_7') ),
inference(resolution,[status(thm)],[c_12,c_1537]) ).
tff(c_1570,plain,
! [B_408] :
( related('#skF_7','#skF_8',join_on_relstr('#skF_7',B_408))
| ~ relstr_set_smaller('#skF_7','#skF_9',join_on_relstr('#skF_7',B_408)) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1548]) ).
tff(c_1574,plain,
( related('#skF_7','#skF_8',join_on_relstr('#skF_7','#skF_9'))
| ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ rel_str('#skF_7') ),
inference(resolution,[status(thm)],[c_1522,c_1570]) ).
tff(c_1580,plain,
( related('#skF_7','#skF_8',join_on_relstr('#skF_7','#skF_9'))
| ~ ex_sup_of_relstr_set('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1574]) ).
tff(c_1583,plain,
~ ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(splitLeft,[status(thm)],[c_1580]) ).
tff(c_1599,plain,
! [A_416,B_417,C_418] :
( element('#skF_5'(A_416,B_417,C_418),the_carrier(A_416))
| ex_sup_of_relstr_set(A_416,B_417)
| ~ relstr_set_smaller(A_416,B_417,C_418)
| ~ element(C_418,the_carrier(A_416))
| ~ rel_str(A_416)
| ~ antisymmetric_relstr(A_416) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_1536,plain,
! [D_60] :
( related('#skF_7','#skF_8',D_60)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_60)
| ~ element(D_60,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_1500,c_48]) ).
tff(c_1603,plain,
! [B_417,C_418] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7',B_417,C_418))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_5'('#skF_7',B_417,C_418))
| ex_sup_of_relstr_set('#skF_7',B_417)
| ~ relstr_set_smaller('#skF_7',B_417,C_418)
| ~ element(C_418,the_carrier('#skF_7'))
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_1599,c_1536]) ).
tff(c_1714,plain,
! [B_437,C_438] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7',B_437,C_438))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_5'('#skF_7',B_437,C_438))
| ex_sup_of_relstr_set('#skF_7',B_437)
| ~ relstr_set_smaller('#skF_7',B_437,C_438)
| ~ element(C_438,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_1603]) ).
tff(c_1718,plain,
! [C_39] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_39))
| ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ relstr_set_smaller('#skF_7','#skF_9',C_39)
| ~ element(C_39,the_carrier('#skF_7'))
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_36,c_1714]) ).
tff(c_1721,plain,
! [C_39] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_39))
| ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ relstr_set_smaller('#skF_7','#skF_9',C_39)
| ~ element(C_39,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_1718]) ).
tff(c_1723,plain,
! [C_439] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_439))
| ~ relstr_set_smaller('#skF_7','#skF_9',C_439)
| ~ element(C_439,the_carrier('#skF_7')) ),
inference(negUnitSimplification,[status(thm)],[c_1583,c_1721]) ).
tff(c_1727,plain,
( ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7')
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| ~ element('#skF_8',the_carrier('#skF_7')) ),
inference(resolution,[status(thm)],[c_1723,c_34]) ).
tff(c_1730,plain,
ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_1499,c_44,c_42,c_1727]) ).
tff(c_1732,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1583,c_1730]) ).
tff(c_1734,plain,
ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(splitRight,[status(thm)],[c_1580]) ).
tff(c_1764,plain,
! [A_453,B_454,C_455] :
( element('#skF_1'(A_453,B_454,C_455),the_carrier(A_453))
| ( join_on_relstr(A_453,B_454) = C_455 )
| ~ relstr_set_smaller(A_453,B_454,C_455)
| ~ ex_sup_of_relstr_set(A_453,B_454)
| ~ element(C_455,the_carrier(A_453))
| ~ rel_str(A_453) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_1768,plain,
! [B_454,C_455] :
( related('#skF_7','#skF_8','#skF_1'('#skF_7',B_454,C_455))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_1'('#skF_7',B_454,C_455))
| ( join_on_relstr('#skF_7',B_454) = C_455 )
| ~ relstr_set_smaller('#skF_7',B_454,C_455)
| ~ ex_sup_of_relstr_set('#skF_7',B_454)
| ~ element(C_455,the_carrier('#skF_7'))
| ~ rel_str('#skF_7') ),
inference(resolution,[status(thm)],[c_1764,c_1536]) ).
tff(c_1881,plain,
! [B_472,C_473] :
( related('#skF_7','#skF_8','#skF_1'('#skF_7',B_472,C_473))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_1'('#skF_7',B_472,C_473))
| ( join_on_relstr('#skF_7',B_472) = C_473 )
| ~ relstr_set_smaller('#skF_7',B_472,C_473)
| ~ ex_sup_of_relstr_set('#skF_7',B_472)
| ~ element(C_473,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1768]) ).
tff(c_1885,plain,
! [C_9] :
( related('#skF_7','#skF_8','#skF_1'('#skF_7','#skF_9',C_9))
| ( join_on_relstr('#skF_7','#skF_9') = C_9 )
| ~ relstr_set_smaller('#skF_7','#skF_9',C_9)
| ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ element(C_9,the_carrier('#skF_7'))
| ~ rel_str('#skF_7') ),
inference(resolution,[status(thm)],[c_4,c_1881]) ).
tff(c_1889,plain,
! [C_474] :
( related('#skF_7','#skF_8','#skF_1'('#skF_7','#skF_9',C_474))
| ( join_on_relstr('#skF_7','#skF_9') = C_474 )
| ~ relstr_set_smaller('#skF_7','#skF_9',C_474)
| ~ element(C_474,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_1734,c_1885]) ).
tff(c_1893,plain,
( ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ rel_str('#skF_7')
| ( join_on_relstr('#skF_7','#skF_9') = '#skF_8' )
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| ~ element('#skF_8',the_carrier('#skF_7')) ),
inference(resolution,[status(thm)],[c_1889,c_2]) ).
tff(c_1896,plain,
join_on_relstr('#skF_7','#skF_9') = '#skF_8',
inference(demodulation,[status(thm),theory(equality)],[c_40,c_1499,c_42,c_1734,c_1893]) ).
tff(c_1898,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1509,c_1896]) ).
tff(c_1900,plain,
join_on_relstr('#skF_7','#skF_9') = '#skF_8',
inference(splitRight,[status(thm)],[c_1508]) ).
tff(c_1899,plain,
( ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| element('#skF_11',the_carrier('#skF_7')) ),
inference(splitRight,[status(thm)],[c_1508]) ).
tff(c_1910,plain,
~ ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(splitLeft,[status(thm)],[c_1899]) ).
tff(c_2013,plain,
! [A_491,B_492,C_493] :
( element('#skF_5'(A_491,B_492,C_493),the_carrier(A_491))
| ex_sup_of_relstr_set(A_491,B_492)
| ~ relstr_set_smaller(A_491,B_492,C_493)
| ~ element(C_493,the_carrier(A_491))
| ~ rel_str(A_491)
| ~ antisymmetric_relstr(A_491) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_1946,plain,
! [D_60] :
( related('#skF_7','#skF_8',D_60)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_60)
| ~ element(D_60,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_1500,c_48]) ).
tff(c_2017,plain,
! [B_492,C_493] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7',B_492,C_493))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_5'('#skF_7',B_492,C_493))
| ex_sup_of_relstr_set('#skF_7',B_492)
| ~ relstr_set_smaller('#skF_7',B_492,C_493)
| ~ element(C_493,the_carrier('#skF_7'))
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_2013,c_1946]) ).
tff(c_2113,plain,
! [B_508,C_509] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7',B_508,C_509))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_5'('#skF_7',B_508,C_509))
| ex_sup_of_relstr_set('#skF_7',B_508)
| ~ relstr_set_smaller('#skF_7',B_508,C_509)
| ~ element(C_509,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_2017]) ).
tff(c_2117,plain,
! [C_39] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_39))
| ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ relstr_set_smaller('#skF_7','#skF_9',C_39)
| ~ element(C_39,the_carrier('#skF_7'))
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_36,c_2113]) ).
tff(c_2120,plain,
! [C_39] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_39))
| ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ relstr_set_smaller('#skF_7','#skF_9',C_39)
| ~ element(C_39,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_2117]) ).
tff(c_2130,plain,
! [C_511] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_511))
| ~ relstr_set_smaller('#skF_7','#skF_9',C_511)
| ~ element(C_511,the_carrier('#skF_7')) ),
inference(negUnitSimplification,[status(thm)],[c_1910,c_2120]) ).
tff(c_2134,plain,
( ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7')
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| ~ element('#skF_8',the_carrier('#skF_7')) ),
inference(resolution,[status(thm)],[c_2130,c_34]) ).
tff(c_2137,plain,
ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_1499,c_44,c_42,c_2134]) ).
tff(c_2139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1910,c_2137]) ).
tff(c_2141,plain,
ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(splitRight,[status(thm)],[c_1899]) ).
tff(c_46,plain,
( ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ( join_on_relstr('#skF_7','#skF_9') != '#skF_8' )
| ~ related('#skF_7','#skF_8','#skF_11')
| ~ relstr_set_smaller('#skF_7','#skF_10','#skF_8') ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_2143,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_114,c_1500,c_1900,c_2141,c_46]) ).
tff(c_2145,plain,
join_on_relstr('#skF_7','#skF_10') != '#skF_8',
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_70,plain,
( ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ( join_on_relstr('#skF_7','#skF_9') != '#skF_8' )
| ( join_on_relstr('#skF_7','#skF_10') = '#skF_8' ) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_2147,plain,
( ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ( join_on_relstr('#skF_7','#skF_9') != '#skF_8' ) ),
inference(negUnitSimplification,[status(thm)],[c_2145,c_70]) ).
tff(c_2148,plain,
join_on_relstr('#skF_7','#skF_9') != '#skF_8',
inference(splitLeft,[status(thm)],[c_2147]) ).
tff(c_2144,plain,
relstr_set_smaller('#skF_7','#skF_9','#skF_8'),
inference(splitRight,[status(thm)],[c_74]) ).
tff(c_2184,plain,
! [A_518,B_519] :
( relstr_set_smaller(A_518,B_519,join_on_relstr(A_518,B_519))
| ~ ex_sup_of_relstr_set(A_518,B_519)
| ~ element(join_on_relstr(A_518,B_519),the_carrier(A_518))
| ~ rel_str(A_518) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_2188,plain,
! [A_520,B_521] :
( relstr_set_smaller(A_520,B_521,join_on_relstr(A_520,B_521))
| ~ ex_sup_of_relstr_set(A_520,B_521)
| ~ rel_str(A_520) ),
inference(resolution,[status(thm)],[c_12,c_2184]) ).
tff(c_72,plain,
! [D_60] :
( related('#skF_7','#skF_8',D_60)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_60)
| ~ element(D_60,the_carrier('#skF_7'))
| ( join_on_relstr('#skF_7','#skF_10') = '#skF_8' ) ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_2156,plain,
! [D_516] :
( related('#skF_7','#skF_8',D_516)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_516)
| ~ element(D_516,the_carrier('#skF_7')) ),
inference(negUnitSimplification,[status(thm)],[c_2145,c_72]) ).
tff(c_2164,plain,
! [B_14] :
( related('#skF_7','#skF_8',join_on_relstr('#skF_7',B_14))
| ~ relstr_set_smaller('#skF_7','#skF_9',join_on_relstr('#skF_7',B_14))
| ~ rel_str('#skF_7') ),
inference(resolution,[status(thm)],[c_12,c_2156]) ).
tff(c_2177,plain,
! [B_14] :
( related('#skF_7','#skF_8',join_on_relstr('#skF_7',B_14))
| ~ relstr_set_smaller('#skF_7','#skF_9',join_on_relstr('#skF_7',B_14)) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_2164]) ).
tff(c_2192,plain,
( related('#skF_7','#skF_8',join_on_relstr('#skF_7','#skF_9'))
| ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ rel_str('#skF_7') ),
inference(resolution,[status(thm)],[c_2188,c_2177]) ).
tff(c_2195,plain,
( related('#skF_7','#skF_8',join_on_relstr('#skF_7','#skF_9'))
| ~ ex_sup_of_relstr_set('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_2192]) ).
tff(c_2196,plain,
~ ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(splitLeft,[status(thm)],[c_2195]) ).
tff(c_2207,plain,
! [A_529,B_530,C_531] :
( element('#skF_5'(A_529,B_530,C_531),the_carrier(A_529))
| ex_sup_of_relstr_set(A_529,B_530)
| ~ relstr_set_smaller(A_529,B_530,C_531)
| ~ element(C_531,the_carrier(A_529))
| ~ rel_str(A_529)
| ~ antisymmetric_relstr(A_529) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_2155,plain,
! [D_60] :
( related('#skF_7','#skF_8',D_60)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_60)
| ~ element(D_60,the_carrier('#skF_7')) ),
inference(negUnitSimplification,[status(thm)],[c_2145,c_72]) ).
tff(c_2211,plain,
! [B_530,C_531] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7',B_530,C_531))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_5'('#skF_7',B_530,C_531))
| ex_sup_of_relstr_set('#skF_7',B_530)
| ~ relstr_set_smaller('#skF_7',B_530,C_531)
| ~ element(C_531,the_carrier('#skF_7'))
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_2207,c_2155]) ).
tff(c_2229,plain,
! [B_538,C_539] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7',B_538,C_539))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_5'('#skF_7',B_538,C_539))
| ex_sup_of_relstr_set('#skF_7',B_538)
| ~ relstr_set_smaller('#skF_7',B_538,C_539)
| ~ element(C_539,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_2211]) ).
tff(c_2233,plain,
! [C_39] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_39))
| ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ relstr_set_smaller('#skF_7','#skF_9',C_39)
| ~ element(C_39,the_carrier('#skF_7'))
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_36,c_2229]) ).
tff(c_2236,plain,
! [C_39] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_39))
| ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ relstr_set_smaller('#skF_7','#skF_9',C_39)
| ~ element(C_39,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_2233]) ).
tff(c_2238,plain,
! [C_540] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_540))
| ~ relstr_set_smaller('#skF_7','#skF_9',C_540)
| ~ element(C_540,the_carrier('#skF_7')) ),
inference(negUnitSimplification,[status(thm)],[c_2196,c_2236]) ).
tff(c_2242,plain,
( ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7')
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| ~ element('#skF_8',the_carrier('#skF_7')) ),
inference(resolution,[status(thm)],[c_2238,c_34]) ).
tff(c_2245,plain,
ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_2144,c_44,c_42,c_2242]) ).
tff(c_2247,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2196,c_2245]) ).
tff(c_2249,plain,
ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(splitRight,[status(thm)],[c_2195]) ).
tff(c_2274,plain,
! [A_554,B_555,C_556] :
( element('#skF_1'(A_554,B_555,C_556),the_carrier(A_554))
| ( join_on_relstr(A_554,B_555) = C_556 )
| ~ relstr_set_smaller(A_554,B_555,C_556)
| ~ ex_sup_of_relstr_set(A_554,B_555)
| ~ element(C_556,the_carrier(A_554))
| ~ rel_str(A_554) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_2278,plain,
! [B_555,C_556] :
( related('#skF_7','#skF_8','#skF_1'('#skF_7',B_555,C_556))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_1'('#skF_7',B_555,C_556))
| ( join_on_relstr('#skF_7',B_555) = C_556 )
| ~ relstr_set_smaller('#skF_7',B_555,C_556)
| ~ ex_sup_of_relstr_set('#skF_7',B_555)
| ~ element(C_556,the_carrier('#skF_7'))
| ~ rel_str('#skF_7') ),
inference(resolution,[status(thm)],[c_2274,c_2155]) ).
tff(c_2312,plain,
! [B_571,C_572] :
( related('#skF_7','#skF_8','#skF_1'('#skF_7',B_571,C_572))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_1'('#skF_7',B_571,C_572))
| ( join_on_relstr('#skF_7',B_571) = C_572 )
| ~ relstr_set_smaller('#skF_7',B_571,C_572)
| ~ ex_sup_of_relstr_set('#skF_7',B_571)
| ~ element(C_572,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_2278]) ).
tff(c_2316,plain,
! [C_9] :
( related('#skF_7','#skF_8','#skF_1'('#skF_7','#skF_9',C_9))
| ( join_on_relstr('#skF_7','#skF_9') = C_9 )
| ~ relstr_set_smaller('#skF_7','#skF_9',C_9)
| ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ element(C_9,the_carrier('#skF_7'))
| ~ rel_str('#skF_7') ),
inference(resolution,[status(thm)],[c_4,c_2312]) ).
tff(c_2320,plain,
! [C_573] :
( related('#skF_7','#skF_8','#skF_1'('#skF_7','#skF_9',C_573))
| ( join_on_relstr('#skF_7','#skF_9') = C_573 )
| ~ relstr_set_smaller('#skF_7','#skF_9',C_573)
| ~ element(C_573,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_2249,c_2316]) ).
tff(c_2324,plain,
( ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ rel_str('#skF_7')
| ( join_on_relstr('#skF_7','#skF_9') = '#skF_8' )
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| ~ element('#skF_8',the_carrier('#skF_7')) ),
inference(resolution,[status(thm)],[c_2320,c_2]) ).
tff(c_2327,plain,
join_on_relstr('#skF_7','#skF_9') = '#skF_8',
inference(demodulation,[status(thm),theory(equality)],[c_40,c_2144,c_42,c_2249,c_2324]) ).
tff(c_2329,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2148,c_2327]) ).
tff(c_2330,plain,
~ ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(splitRight,[status(thm)],[c_2147]) ).
tff(c_2424,plain,
! [A_594,B_595,C_596] :
( element('#skF_5'(A_594,B_595,C_596),the_carrier(A_594))
| ex_sup_of_relstr_set(A_594,B_595)
| ~ relstr_set_smaller(A_594,B_595,C_596)
| ~ element(C_596,the_carrier(A_594))
| ~ rel_str(A_594)
| ~ antisymmetric_relstr(A_594) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_2353,plain,
! [D_60] :
( related('#skF_7','#skF_8',D_60)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_60)
| ~ element(D_60,the_carrier('#skF_7')) ),
inference(negUnitSimplification,[status(thm)],[c_2145,c_72]) ).
tff(c_2428,plain,
! [B_595,C_596] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7',B_595,C_596))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_5'('#skF_7',B_595,C_596))
| ex_sup_of_relstr_set('#skF_7',B_595)
| ~ relstr_set_smaller('#skF_7',B_595,C_596)
| ~ element(C_596,the_carrier('#skF_7'))
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_2424,c_2353]) ).
tff(c_2447,plain,
! [B_606,C_607] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7',B_606,C_607))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_5'('#skF_7',B_606,C_607))
| ex_sup_of_relstr_set('#skF_7',B_606)
| ~ relstr_set_smaller('#skF_7',B_606,C_607)
| ~ element(C_607,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_2428]) ).
tff(c_2451,plain,
! [C_39] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_39))
| ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ relstr_set_smaller('#skF_7','#skF_9',C_39)
| ~ element(C_39,the_carrier('#skF_7'))
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_36,c_2447]) ).
tff(c_2454,plain,
! [C_39] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_39))
| ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ relstr_set_smaller('#skF_7','#skF_9',C_39)
| ~ element(C_39,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_2451]) ).
tff(c_2456,plain,
! [C_608] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_608))
| ~ relstr_set_smaller('#skF_7','#skF_9',C_608)
| ~ element(C_608,the_carrier('#skF_7')) ),
inference(negUnitSimplification,[status(thm)],[c_2330,c_2454]) ).
tff(c_2460,plain,
( ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7')
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| ~ element('#skF_8',the_carrier('#skF_7')) ),
inference(resolution,[status(thm)],[c_2456,c_34]) ).
tff(c_2463,plain,
ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_2144,c_44,c_42,c_2460]) ).
tff(c_2465,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2330,c_2463]) ).
tff(c_2467,plain,
~ ex_sup_of_relstr_set('#skF_7','#skF_10'),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_64,plain,
( ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ( join_on_relstr('#skF_7','#skF_9') != '#skF_8' )
| ex_sup_of_relstr_set('#skF_7','#skF_10') ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_2470,plain,
( ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ( join_on_relstr('#skF_7','#skF_9') != '#skF_8' ) ),
inference(negUnitSimplification,[status(thm)],[c_2467,c_64]) ).
tff(c_2471,plain,
join_on_relstr('#skF_7','#skF_9') != '#skF_8',
inference(splitLeft,[status(thm)],[c_2470]) ).
tff(c_2466,plain,
relstr_set_smaller('#skF_7','#skF_9','#skF_8'),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_30,plain,
! [A_18,B_32] :
( relstr_set_smaller(A_18,B_32,'#skF_6'(A_18,B_32))
| ~ ex_sup_of_relstr_set(A_18,B_32)
| ~ rel_str(A_18)
| ~ antisymmetric_relstr(A_18) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_32,plain,
! [A_18,B_32] :
( element('#skF_6'(A_18,B_32),the_carrier(A_18))
| ~ ex_sup_of_relstr_set(A_18,B_32)
| ~ rel_str(A_18)
| ~ antisymmetric_relstr(A_18) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_66,plain,
! [D_60] :
( related('#skF_7','#skF_8',D_60)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_60)
| ~ element(D_60,the_carrier('#skF_7'))
| ex_sup_of_relstr_set('#skF_7','#skF_10') ),
inference(cnfTransformation,[status(thm)],[f_114]) ).
tff(c_2478,plain,
! [D_615] :
( related('#skF_7','#skF_8',D_615)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_615)
| ~ element(D_615,the_carrier('#skF_7')) ),
inference(negUnitSimplification,[status(thm)],[c_2467,c_66]) ).
tff(c_2482,plain,
! [B_32] :
( related('#skF_7','#skF_8','#skF_6'('#skF_7',B_32))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_6'('#skF_7',B_32))
| ~ ex_sup_of_relstr_set('#skF_7',B_32)
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_32,c_2478]) ).
tff(c_2506,plain,
! [B_617] :
( related('#skF_7','#skF_8','#skF_6'('#skF_7',B_617))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_6'('#skF_7',B_617))
| ~ ex_sup_of_relstr_set('#skF_7',B_617) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_2482]) ).
tff(c_2510,plain,
( related('#skF_7','#skF_8','#skF_6'('#skF_7','#skF_9'))
| ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_30,c_2506]) ).
tff(c_2513,plain,
( related('#skF_7','#skF_8','#skF_6'('#skF_7','#skF_9'))
| ~ ex_sup_of_relstr_set('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_2510]) ).
tff(c_2514,plain,
~ ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(splitLeft,[status(thm)],[c_2513]) ).
tff(c_2528,plain,
! [A_625,B_626,C_627] :
( element('#skF_5'(A_625,B_626,C_627),the_carrier(A_625))
| ex_sup_of_relstr_set(A_625,B_626)
| ~ relstr_set_smaller(A_625,B_626,C_627)
| ~ element(C_627,the_carrier(A_625))
| ~ rel_str(A_625)
| ~ antisymmetric_relstr(A_625) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_2477,plain,
! [D_60] :
( related('#skF_7','#skF_8',D_60)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_60)
| ~ element(D_60,the_carrier('#skF_7')) ),
inference(negUnitSimplification,[status(thm)],[c_2467,c_66]) ).
tff(c_2532,plain,
! [B_626,C_627] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7',B_626,C_627))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_5'('#skF_7',B_626,C_627))
| ex_sup_of_relstr_set('#skF_7',B_626)
| ~ relstr_set_smaller('#skF_7',B_626,C_627)
| ~ element(C_627,the_carrier('#skF_7'))
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_2528,c_2477]) ).
tff(c_2573,plain,
! [B_649,C_650] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7',B_649,C_650))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_5'('#skF_7',B_649,C_650))
| ex_sup_of_relstr_set('#skF_7',B_649)
| ~ relstr_set_smaller('#skF_7',B_649,C_650)
| ~ element(C_650,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_2532]) ).
tff(c_2577,plain,
! [C_39] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_39))
| ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ relstr_set_smaller('#skF_7','#skF_9',C_39)
| ~ element(C_39,the_carrier('#skF_7'))
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_36,c_2573]) ).
tff(c_2580,plain,
! [C_39] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_39))
| ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ relstr_set_smaller('#skF_7','#skF_9',C_39)
| ~ element(C_39,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_2577]) ).
tff(c_2582,plain,
! [C_651] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_651))
| ~ relstr_set_smaller('#skF_7','#skF_9',C_651)
| ~ element(C_651,the_carrier('#skF_7')) ),
inference(negUnitSimplification,[status(thm)],[c_2514,c_2580]) ).
tff(c_2586,plain,
( ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7')
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| ~ element('#skF_8',the_carrier('#skF_7')) ),
inference(resolution,[status(thm)],[c_2582,c_34]) ).
tff(c_2589,plain,
ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_2466,c_44,c_42,c_2586]) ).
tff(c_2591,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2514,c_2589]) ).
tff(c_2593,plain,
ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(splitRight,[status(thm)],[c_2513]) ).
tff(c_2629,plain,
! [A_674,B_675,C_676] :
( element('#skF_1'(A_674,B_675,C_676),the_carrier(A_674))
| ( join_on_relstr(A_674,B_675) = C_676 )
| ~ relstr_set_smaller(A_674,B_675,C_676)
| ~ ex_sup_of_relstr_set(A_674,B_675)
| ~ element(C_676,the_carrier(A_674))
| ~ rel_str(A_674) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_2633,plain,
! [B_675,C_676] :
( related('#skF_7','#skF_8','#skF_1'('#skF_7',B_675,C_676))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_1'('#skF_7',B_675,C_676))
| ( join_on_relstr('#skF_7',B_675) = C_676 )
| ~ relstr_set_smaller('#skF_7',B_675,C_676)
| ~ ex_sup_of_relstr_set('#skF_7',B_675)
| ~ element(C_676,the_carrier('#skF_7'))
| ~ rel_str('#skF_7') ),
inference(resolution,[status(thm)],[c_2629,c_2477]) ).
tff(c_2660,plain,
! [B_685,C_686] :
( related('#skF_7','#skF_8','#skF_1'('#skF_7',B_685,C_686))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_1'('#skF_7',B_685,C_686))
| ( join_on_relstr('#skF_7',B_685) = C_686 )
| ~ relstr_set_smaller('#skF_7',B_685,C_686)
| ~ ex_sup_of_relstr_set('#skF_7',B_685)
| ~ element(C_686,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_2633]) ).
tff(c_2664,plain,
! [C_9] :
( related('#skF_7','#skF_8','#skF_1'('#skF_7','#skF_9',C_9))
| ( join_on_relstr('#skF_7','#skF_9') = C_9 )
| ~ relstr_set_smaller('#skF_7','#skF_9',C_9)
| ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ element(C_9,the_carrier('#skF_7'))
| ~ rel_str('#skF_7') ),
inference(resolution,[status(thm)],[c_4,c_2660]) ).
tff(c_2668,plain,
! [C_687] :
( related('#skF_7','#skF_8','#skF_1'('#skF_7','#skF_9',C_687))
| ( join_on_relstr('#skF_7','#skF_9') = C_687 )
| ~ relstr_set_smaller('#skF_7','#skF_9',C_687)
| ~ element(C_687,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_42,c_2593,c_2664]) ).
tff(c_2672,plain,
( ~ ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ rel_str('#skF_7')
| ( join_on_relstr('#skF_7','#skF_9') = '#skF_8' )
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| ~ element('#skF_8',the_carrier('#skF_7')) ),
inference(resolution,[status(thm)],[c_2668,c_2]) ).
tff(c_2675,plain,
join_on_relstr('#skF_7','#skF_9') = '#skF_8',
inference(demodulation,[status(thm),theory(equality)],[c_40,c_2466,c_42,c_2593,c_2672]) ).
tff(c_2677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2471,c_2675]) ).
tff(c_2678,plain,
~ ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(splitRight,[status(thm)],[c_2470]) ).
tff(c_2766,plain,
! [A_702,B_703,C_704] :
( element('#skF_5'(A_702,B_703,C_704),the_carrier(A_702))
| ex_sup_of_relstr_set(A_702,B_703)
| ~ relstr_set_smaller(A_702,B_703,C_704)
| ~ element(C_704,the_carrier(A_702))
| ~ rel_str(A_702)
| ~ antisymmetric_relstr(A_702) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_2698,plain,
! [D_60] :
( related('#skF_7','#skF_8',D_60)
| ~ relstr_set_smaller('#skF_7','#skF_9',D_60)
| ~ element(D_60,the_carrier('#skF_7')) ),
inference(negUnitSimplification,[status(thm)],[c_2467,c_66]) ).
tff(c_2770,plain,
! [B_703,C_704] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7',B_703,C_704))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_5'('#skF_7',B_703,C_704))
| ex_sup_of_relstr_set('#skF_7',B_703)
| ~ relstr_set_smaller('#skF_7',B_703,C_704)
| ~ element(C_704,the_carrier('#skF_7'))
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_2766,c_2698]) ).
tff(c_2781,plain,
! [B_711,C_712] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7',B_711,C_712))
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_5'('#skF_7',B_711,C_712))
| ex_sup_of_relstr_set('#skF_7',B_711)
| ~ relstr_set_smaller('#skF_7',B_711,C_712)
| ~ element(C_712,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_2770]) ).
tff(c_2785,plain,
! [C_39] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_39))
| ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ relstr_set_smaller('#skF_7','#skF_9',C_39)
| ~ element(C_39,the_carrier('#skF_7'))
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7') ),
inference(resolution,[status(thm)],[c_36,c_2781]) ).
tff(c_2788,plain,
! [C_39] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_39))
| ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ relstr_set_smaller('#skF_7','#skF_9',C_39)
| ~ element(C_39,the_carrier('#skF_7')) ),
inference(demodulation,[status(thm),theory(equality)],[c_44,c_42,c_2785]) ).
tff(c_2790,plain,
! [C_713] :
( related('#skF_7','#skF_8','#skF_5'('#skF_7','#skF_9',C_713))
| ~ relstr_set_smaller('#skF_7','#skF_9',C_713)
| ~ element(C_713,the_carrier('#skF_7')) ),
inference(negUnitSimplification,[status(thm)],[c_2678,c_2788]) ).
tff(c_2794,plain,
( ex_sup_of_relstr_set('#skF_7','#skF_9')
| ~ rel_str('#skF_7')
| ~ antisymmetric_relstr('#skF_7')
| ~ relstr_set_smaller('#skF_7','#skF_9','#skF_8')
| ~ element('#skF_8',the_carrier('#skF_7')) ),
inference(resolution,[status(thm)],[c_2790,c_34]) ).
tff(c_2797,plain,
ex_sup_of_relstr_set('#skF_7','#skF_9'),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_2466,c_44,c_42,c_2794]) ).
tff(c_2799,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2678,c_2797]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU359+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 11:31:58 EDT 2023
% 0.22/0.35 % CPUTime :
% 6.51/2.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.86/2.64
% 6.86/2.64 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.07/2.70
% 7.07/2.70 Inference rules
% 7.07/2.70 ----------------------
% 7.07/2.70 #Ref : 0
% 7.07/2.70 #Sup : 387
% 7.07/2.70 #Fact : 0
% 7.07/2.70 #Define : 0
% 7.07/2.70 #Split : 42
% 7.07/2.70 #Chain : 0
% 7.07/2.70 #Close : 0
% 7.07/2.70
% 7.07/2.70 Ordering : KBO
% 7.07/2.70
% 7.07/2.70 Simplification rules
% 7.07/2.70 ----------------------
% 7.07/2.70 #Subsume : 109
% 7.07/2.70 #Demod : 726
% 7.07/2.70 #Tautology : 120
% 7.07/2.70 #SimpNegUnit : 37
% 7.07/2.70 #BackRed : 0
% 7.07/2.70
% 7.07/2.70 #Partial instantiations: 0
% 7.07/2.70 #Strategies tried : 1
% 7.07/2.70
% 7.07/2.70 Timing (in seconds)
% 7.07/2.70 ----------------------
% 7.07/2.71 Preprocessing : 0.53
% 7.07/2.71 Parsing : 0.28
% 7.07/2.71 CNF conversion : 0.05
% 7.07/2.71 Main loop : 0.96
% 7.07/2.71 Inferencing : 0.42
% 7.07/2.71 Reduction : 0.26
% 7.07/2.71 Demodulation : 0.18
% 7.07/2.71 BG Simplification : 0.04
% 7.07/2.71 Subsumption : 0.17
% 7.07/2.71 Abstraction : 0.03
% 7.07/2.71 MUC search : 0.00
% 7.07/2.71 Cooper : 0.00
% 7.07/2.71 Total : 1.61
% 7.07/2.71 Index Insertion : 0.00
% 7.07/2.71 Index Deletion : 0.00
% 7.07/2.71 Index Matching : 0.00
% 7.07/2.71 BG Taut test : 0.00
%------------------------------------------------------------------------------