TSTP Solution File: SET684+3 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET684+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : n029.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 10:56:53 EDT 2023
% Result : Theorem 35.28s 20.66s
% Output : CNFRefutation 35.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 46
% Syntax : Number of formulae : 223 ( 77 unt; 35 typ; 0 def)
% Number of atoms : 494 ( 14 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 611 ( 305 ~; 251 |; 11 &)
% ( 6 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 43 ( 24 >; 19 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 11 con; 0-5 aty)
% Number of variables : 292 (; 290 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ member > ilf_type > relation_like > empty > compose5 > unordered_pair > relation_type > ordered_pair > cross_product > compose > #nlpp > subset_type > singleton > power_set > member_type > set_type > binary_relation_type > #skF_4 > #skF_18 > #skF_17 > #skF_15 > #skF_19 > #skF_16 > #skF_14 > #skF_5 > #skF_13 > #skF_10 > #skF_8 > #skF_3 > #skF_11 > #skF_2 > #skF_7 > #skF_1 > #skF_9 > #skF_6 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(relation_type,type,
relation_type: ( $i * $i ) > $i ).
tff(power_set,type,
power_set: $i > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff('#skF_18',type,
'#skF_18': $i ).
tff(singleton,type,
singleton: $i > $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(unordered_pair,type,
unordered_pair: ( $i * $i ) > $i ).
tff(compose5,type,
compose5: ( $i * $i * $i * $i * $i ) > $i ).
tff(ordered_pair,type,
ordered_pair: ( $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff(cross_product,type,
cross_product: ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': $i ).
tff(set_type,type,
set_type: $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(member,type,
member: ( $i * $i ) > $o ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(empty,type,
empty: $i > $o ).
tff(ilf_type,type,
ilf_type: ( $i * $i ) > $o ).
tff(member_type,type,
member_type: $i > $i ).
tff(compose,type,
compose: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(subset_type,type,
subset_type: $i > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(binary_relation_type,type,
binary_relation_type: $i ).
tff(relation_like,type,
relation_like: $i > $o ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(f_386,negated_conjecture,
~ ! [B] :
( ( ~ empty(B)
& ilf_type(B,set_type) )
=> ! [C] :
( ( ~ empty(C)
& ilf_type(C,set_type) )
=> ! [D] :
( ( ~ empty(D)
& ilf_type(D,set_type) )
=> ! [E] :
( ilf_type(E,relation_type(B,C))
=> ! [F] :
( ilf_type(F,relation_type(C,D))
=> ! [G] :
( ilf_type(G,member_type(B))
=> ! [H] :
( ilf_type(H,member_type(D))
=> ( member(ordered_pair(G,H),compose5(B,C,D,E,F))
<=> ? [I] :
( ilf_type(I,member_type(C))
& member(ordered_pair(G,I),E)
& member(ordered_pair(I,H),F) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_51) ).
tff(f_346,axiom,
! [B] : ilf_type(B,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p29) ).
tff(f_135,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ( ~ empty(C)
& ilf_type(C,set_type) )
=> ( ilf_type(B,member_type(C))
<=> member(B,C) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7) ).
tff(f_113,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( ! [D] :
( ilf_type(D,subset_type(cross_product(B,C)))
=> ilf_type(D,relation_type(B,C)) )
& ! [E] :
( ilf_type(E,relation_type(B,C))
=> ilf_type(E,subset_type(cross_product(B,C))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5) ).
tff(f_309,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,subset_type(cross_product(B,C)))
=> relation_like(D) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26) ).
tff(f_201,axiom,
! [B] :
( ilf_type(B,set_type)
=> ( ilf_type(B,binary_relation_type)
<=> ( relation_like(B)
& ilf_type(B,set_type) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15) ).
tff(f_326,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ! [E] :
( ilf_type(E,relation_type(B,C))
=> ! [F] :
( ilf_type(F,relation_type(C,D))
=> ( compose5(B,C,D,E,F) = compose(E,F) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27) ).
tff(f_265,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( member(B,power_set(C))
<=> ! [D] :
( ilf_type(D,set_type)
=> ( member(D,B)
=> member(D,C) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22) ).
tff(f_49,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,binary_relation_type)
=> ! [E] :
( ilf_type(E,binary_relation_type)
=> ( member(ordered_pair(B,C),compose(D,E))
<=> ? [F] :
( ilf_type(F,set_type)
& member(ordered_pair(B,F),D)
& member(ordered_pair(F,C),E) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
tff(f_155,axiom,
! [B] :
( ilf_type(B,set_type)
=> ( empty(B)
<=> ! [C] :
( ilf_type(C,set_type)
=> ~ member(C,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9) ).
tff(f_70,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ! [E] :
( ilf_type(E,set_type)
=> ! [F] :
( ilf_type(F,relation_type(B,C))
=> ( member(ordered_pair(D,E),F)
=> ( member(D,B)
& member(E,C) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
tff(c_130,plain,
~ empty('#skF_13'),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_114,plain,
! [B_278] : ilf_type(B_278,set_type),
inference(cnfTransformation,[status(thm)],[f_346]) ).
tff(c_26,plain,
! [B_129,C_131] :
( ilf_type(B_129,member_type(C_131))
| ~ member(B_129,C_131)
| ~ ilf_type(C_131,set_type)
| empty(C_131)
| ~ ilf_type(B_129,set_type) ),
inference(cnfTransformation,[status(thm)],[f_135]) ).
tff(c_221,plain,
! [B_129,C_131] :
( ilf_type(B_129,member_type(C_131))
| ~ member(B_129,C_131)
| empty(C_131) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_26]) ).
tff(c_122,plain,
ilf_type('#skF_15',relation_type('#skF_12','#skF_13')),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_20,plain,
! [E_122,B_112,C_118] :
( ilf_type(E_122,subset_type(cross_product(B_112,C_118)))
| ~ ilf_type(E_122,relation_type(B_112,C_118))
| ~ ilf_type(C_118,set_type)
| ~ ilf_type(B_112,set_type) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_96772,plain,
! [E_6810,B_6811,C_6812] :
( ilf_type(E_6810,subset_type(cross_product(B_6811,C_6812)))
| ~ ilf_type(E_6810,relation_type(B_6811,C_6812)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_20]) ).
tff(c_108,plain,
! [D_215,B_209,C_213] :
( relation_like(D_215)
| ~ ilf_type(D_215,subset_type(cross_product(B_209,C_213)))
| ~ ilf_type(C_213,set_type)
| ~ ilf_type(B_209,set_type) ),
inference(cnfTransformation,[status(thm)],[f_309]) ).
tff(c_159,plain,
! [D_215,B_209,C_213] :
( relation_like(D_215)
| ~ ilf_type(D_215,subset_type(cross_product(B_209,C_213))) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_108]) ).
tff(c_96792,plain,
! [E_6813,B_6814,C_6815] :
( relation_like(E_6813)
| ~ ilf_type(E_6813,relation_type(B_6814,C_6815)) ),
inference(resolution,[status(thm)],[c_96772,c_159]) ).
tff(c_96803,plain,
relation_like('#skF_15'),
inference(resolution,[status(thm)],[c_122,c_96792]) ).
tff(c_48,plain,
! [B_151] :
( ilf_type(B_151,binary_relation_type)
| ~ relation_like(B_151)
| ~ ilf_type(B_151,set_type) ),
inference(cnfTransformation,[status(thm)],[f_201]) ).
tff(c_201,plain,
! [B_151] :
( ilf_type(B_151,binary_relation_type)
| ~ relation_like(B_151) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_48]) ).
tff(c_120,plain,
ilf_type('#skF_16',relation_type('#skF_13','#skF_14')),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_110,plain,
! [E_244,F_246,B_216,D_240,C_232] :
( ( compose5(B_216,C_232,D_240,E_244,F_246) = compose(E_244,F_246) )
| ~ ilf_type(F_246,relation_type(C_232,D_240))
| ~ ilf_type(E_244,relation_type(B_216,C_232))
| ~ ilf_type(D_240,set_type)
| ~ ilf_type(C_232,set_type)
| ~ ilf_type(B_216,set_type) ),
inference(cnfTransformation,[status(thm)],[f_326]) ).
tff(c_97837,plain,
! [D_6944,E_6948,C_6946,F_6947,B_6945] :
( ( compose5(B_6945,C_6946,D_6944,E_6948,F_6947) = compose(E_6948,F_6947) )
| ~ ilf_type(F_6947,relation_type(C_6946,D_6944))
| ~ ilf_type(E_6948,relation_type(B_6945,C_6946)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_114,c_110]) ).
tff(c_97885,plain,
! [B_6954,E_6955] :
( ( compose5(B_6954,'#skF_13','#skF_14',E_6955,'#skF_16') = compose(E_6955,'#skF_16') )
| ~ ilf_type(E_6955,relation_type(B_6954,'#skF_13')) ),
inference(resolution,[status(thm)],[c_120,c_97837]) ).
tff(c_97924,plain,
compose5('#skF_12','#skF_13','#skF_14','#skF_15','#skF_16') = compose('#skF_15','#skF_16'),
inference(resolution,[status(thm)],[c_122,c_97885]) ).
tff(c_50467,plain,
! [E_3997,B_3998,C_3999] :
( ilf_type(E_3997,subset_type(cross_product(B_3998,C_3999)))
| ~ ilf_type(E_3997,relation_type(B_3998,C_3999)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_20]) ).
tff(c_50509,plain,
! [E_4000,B_4001,C_4002] :
( relation_like(E_4000)
| ~ ilf_type(E_4000,relation_type(B_4001,C_4002)) ),
inference(resolution,[status(thm)],[c_50467,c_159]) ).
tff(c_50539,plain,
relation_like('#skF_15'),
inference(resolution,[status(thm)],[c_122,c_50509]) ).
tff(c_51244,plain,
! [D_4090,F_4093,B_4091,C_4092,E_4094] :
( ( compose5(B_4091,C_4092,D_4090,E_4094,F_4093) = compose(E_4094,F_4093) )
| ~ ilf_type(F_4093,relation_type(C_4092,D_4090))
| ~ ilf_type(E_4094,relation_type(B_4091,C_4092)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_114,c_110]) ).
tff(c_51424,plain,
! [B_4117,E_4118] :
( ( compose5(B_4117,'#skF_13','#skF_14',E_4118,'#skF_16') = compose(E_4118,'#skF_16') )
| ~ ilf_type(E_4118,relation_type(B_4117,'#skF_13')) ),
inference(resolution,[status(thm)],[c_120,c_51244]) ).
tff(c_51468,plain,
compose5('#skF_12','#skF_13','#skF_14','#skF_15','#skF_16') = compose('#skF_15','#skF_16'),
inference(resolution,[status(thm)],[c_122,c_51424]) ).
tff(c_6406,plain,
! [E_1236,B_1237,C_1238] :
( ilf_type(E_1236,subset_type(cross_product(B_1237,C_1238)))
| ~ ilf_type(E_1236,relation_type(B_1237,C_1238)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_20]) ).
tff(c_6448,plain,
! [E_1239,B_1240,C_1241] :
( relation_like(E_1239)
| ~ ilf_type(E_1239,relation_type(B_1240,C_1241)) ),
inference(resolution,[status(thm)],[c_6406,c_159]) ).
tff(c_6478,plain,
relation_like('#skF_15'),
inference(resolution,[status(thm)],[c_122,c_6448]) ).
tff(c_7134,plain,
! [C_1339,E_1341,B_1338,D_1337,F_1340] :
( ( compose5(B_1338,C_1339,D_1337,E_1341,F_1340) = compose(E_1341,F_1340) )
| ~ ilf_type(F_1340,relation_type(C_1339,D_1337))
| ~ ilf_type(E_1341,relation_type(B_1338,C_1339)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_114,c_110]) ).
tff(c_7378,plain,
! [B_1362,E_1363] :
( ( compose5(B_1362,'#skF_13','#skF_14',E_1363,'#skF_16') = compose(E_1363,'#skF_16') )
| ~ ilf_type(E_1363,relation_type(B_1362,'#skF_13')) ),
inference(resolution,[status(thm)],[c_120,c_7134]) ).
tff(c_7417,plain,
compose5('#skF_12','#skF_13','#skF_14','#skF_15','#skF_16') = compose('#skF_15','#skF_16'),
inference(resolution,[status(thm)],[c_122,c_7378]) ).
tff(c_86,plain,
! [B_171,C_177] :
( member('#skF_8'(B_171,C_177),B_171)
| member(B_171,power_set(C_177))
| ~ ilf_type(C_177,set_type)
| ~ ilf_type(B_171,set_type) ),
inference(cnfTransformation,[status(thm)],[f_265]) ).
tff(c_466,plain,
! [B_700,C_701] :
( member('#skF_8'(B_700,C_701),B_700)
| member(B_700,power_set(C_701)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_86]) ).
tff(c_84,plain,
! [B_171,C_177] :
( ~ member('#skF_8'(B_171,C_177),C_177)
| member(B_171,power_set(C_177))
| ~ ilf_type(C_177,set_type)
| ~ ilf_type(B_171,set_type) ),
inference(cnfTransformation,[status(thm)],[f_265]) ).
tff(c_183,plain,
! [B_171,C_177] :
( ~ member('#skF_8'(B_171,C_177),C_177)
| member(B_171,power_set(C_177)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_84]) ).
tff(c_478,plain,
! [B_700] : member(B_700,power_set(B_700)),
inference(resolution,[status(thm)],[c_466,c_183]) ).
tff(c_150,plain,
( member(ordered_pair('#skF_17','#skF_18'),compose5('#skF_12','#skF_13','#skF_14','#skF_15','#skF_16'))
| ilf_type('#skF_19',member_type('#skF_13')) ),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_304,plain,
ilf_type('#skF_19',member_type('#skF_13')),
inference(splitLeft,[status(thm)],[c_150]) ).
tff(c_146,plain,
( member(ordered_pair('#skF_17','#skF_18'),compose5('#skF_12','#skF_13','#skF_14','#skF_15','#skF_16'))
| member(ordered_pair('#skF_17','#skF_19'),'#skF_15') ),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_406,plain,
member(ordered_pair('#skF_17','#skF_19'),'#skF_15'),
inference(splitLeft,[status(thm)],[c_146]) ).
tff(c_142,plain,
( member(ordered_pair('#skF_17','#skF_18'),compose5('#skF_12','#skF_13','#skF_14','#skF_15','#skF_16'))
| member(ordered_pair('#skF_19','#skF_18'),'#skF_16') ),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_334,plain,
member(ordered_pair('#skF_19','#skF_18'),'#skF_16'),
inference(splitLeft,[status(thm)],[c_142]) ).
tff(c_82,plain,
! [D_180,C_177,B_171] :
( member(D_180,C_177)
| ~ member(D_180,B_171)
| ~ ilf_type(D_180,set_type)
| ~ member(B_171,power_set(C_177))
| ~ ilf_type(C_177,set_type)
| ~ ilf_type(B_171,set_type) ),
inference(cnfTransformation,[status(thm)],[f_265]) ).
tff(c_518,plain,
! [D_710,C_711,B_712] :
( member(D_710,C_711)
| ~ member(D_710,B_712)
| ~ member(B_712,power_set(C_711)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_114,c_82]) ).
tff(c_552,plain,
! [C_711] :
( member(ordered_pair('#skF_19','#skF_18'),C_711)
| ~ member('#skF_16',power_set(C_711)) ),
inference(resolution,[status(thm)],[c_334,c_518]) ).
tff(c_842,plain,
! [E_750,B_751,C_752] :
( ilf_type(E_750,subset_type(cross_product(B_751,C_752)))
| ~ ilf_type(E_750,relation_type(B_751,C_752)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_20]) ).
tff(c_881,plain,
! [E_753,B_754,C_755] :
( relation_like(E_753)
| ~ ilf_type(E_753,relation_type(B_754,C_755)) ),
inference(resolution,[status(thm)],[c_842,c_159]) ).
tff(c_916,plain,
relation_like('#skF_15'),
inference(resolution,[status(thm)],[c_122,c_881]) ).
tff(c_2,plain,
! [F_46,B_1,E_43,D_37,C_25] :
( member(ordered_pair(B_1,C_25),compose(D_37,E_43))
| ~ member(ordered_pair(F_46,C_25),E_43)
| ~ member(ordered_pair(B_1,F_46),D_37)
| ~ ilf_type(F_46,set_type)
| ~ ilf_type(E_43,binary_relation_type)
| ~ ilf_type(D_37,binary_relation_type)
| ~ ilf_type(C_25,set_type)
| ~ ilf_type(B_1,set_type) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_2137,plain,
! [C_902,E_905,D_903,F_904,B_906] :
( member(ordered_pair(B_906,C_902),compose(D_903,E_905))
| ~ member(ordered_pair(F_904,C_902),E_905)
| ~ member(ordered_pair(B_906,F_904),D_903)
| ~ ilf_type(E_905,binary_relation_type)
| ~ ilf_type(D_903,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_114,c_2]) ).
tff(c_2168,plain,
! [B_906,D_903] :
( member(ordered_pair(B_906,'#skF_19'),compose(D_903,'#skF_15'))
| ~ member(ordered_pair(B_906,'#skF_17'),D_903)
| ~ ilf_type('#skF_15',binary_relation_type)
| ~ ilf_type(D_903,binary_relation_type) ),
inference(resolution,[status(thm)],[c_406,c_2137]) ).
tff(c_5046,plain,
~ ilf_type('#skF_15',binary_relation_type),
inference(splitLeft,[status(thm)],[c_2168]) ).
tff(c_5049,plain,
~ relation_like('#skF_15'),
inference(resolution,[status(thm)],[c_201,c_5046]) ).
tff(c_5053,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_916,c_5049]) ).
tff(c_5055,plain,
ilf_type('#skF_15',binary_relation_type),
inference(splitRight,[status(thm)],[c_2168]) ).
tff(c_917,plain,
relation_like('#skF_16'),
inference(resolution,[status(thm)],[c_120,c_881]) ).
tff(c_2169,plain,
! [B_906,D_903] :
( member(ordered_pair(B_906,'#skF_18'),compose(D_903,'#skF_16'))
| ~ member(ordered_pair(B_906,'#skF_19'),D_903)
| ~ ilf_type('#skF_16',binary_relation_type)
| ~ ilf_type(D_903,binary_relation_type) ),
inference(resolution,[status(thm)],[c_334,c_2137]) ).
tff(c_5511,plain,
~ ilf_type('#skF_16',binary_relation_type),
inference(splitLeft,[status(thm)],[c_2169]) ).
tff(c_5514,plain,
~ relation_like('#skF_16'),
inference(resolution,[status(thm)],[c_201,c_5511]) ).
tff(c_5518,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_917,c_5514]) ).
tff(c_5596,plain,
! [B_1142,D_1143] :
( member(ordered_pair(B_1142,'#skF_18'),compose(D_1143,'#skF_16'))
| ~ member(ordered_pair(B_1142,'#skF_19'),D_1143)
| ~ ilf_type(D_1143,binary_relation_type) ),
inference(splitRight,[status(thm)],[c_2169]) ).
tff(c_1611,plain,
! [D_837,E_841,F_840,C_839,B_838] :
( ( compose5(B_838,C_839,D_837,E_841,F_840) = compose(E_841,F_840) )
| ~ ilf_type(F_840,relation_type(C_839,D_837))
| ~ ilf_type(E_841,relation_type(B_838,C_839)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_114,c_110]) ).
tff(c_1758,plain,
! [B_869,E_870] :
( ( compose5(B_869,'#skF_13','#skF_14',E_870,'#skF_16') = compose(E_870,'#skF_16') )
| ~ ilf_type(E_870,relation_type(B_869,'#skF_13')) ),
inference(resolution,[status(thm)],[c_120,c_1611]) ).
tff(c_1797,plain,
compose5('#skF_12','#skF_13','#skF_14','#skF_15','#skF_16') = compose('#skF_15','#skF_16'),
inference(resolution,[status(thm)],[c_122,c_1758]) ).
tff(c_136,plain,
! [I_653] :
( ~ member(ordered_pair(I_653,'#skF_18'),'#skF_16')
| ~ member(ordered_pair('#skF_17',I_653),'#skF_15')
| ~ ilf_type(I_653,member_type('#skF_13'))
| ~ member(ordered_pair('#skF_17','#skF_18'),compose5('#skF_12','#skF_13','#skF_14','#skF_15','#skF_16')) ),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_827,plain,
~ member(ordered_pair('#skF_17','#skF_18'),compose5('#skF_12','#skF_13','#skF_14','#skF_15','#skF_16')),
inference(splitLeft,[status(thm)],[c_136]) ).
tff(c_1968,plain,
~ member(ordered_pair('#skF_17','#skF_18'),compose('#skF_15','#skF_16')),
inference(demodulation,[status(thm),theory(equality)],[c_1797,c_827]) ).
tff(c_5605,plain,
( ~ member(ordered_pair('#skF_17','#skF_19'),'#skF_15')
| ~ ilf_type('#skF_15',binary_relation_type) ),
inference(resolution,[status(thm)],[c_5596,c_1968]) ).
tff(c_5618,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5055,c_406,c_5605]) ).
tff(c_5784,plain,
! [I_1161] :
( ~ member(ordered_pair(I_1161,'#skF_18'),'#skF_16')
| ~ member(ordered_pair('#skF_17',I_1161),'#skF_15')
| ~ ilf_type(I_1161,member_type('#skF_13')) ),
inference(splitRight,[status(thm)],[c_136]) ).
tff(c_5787,plain,
( ~ member(ordered_pair('#skF_17','#skF_19'),'#skF_15')
| ~ ilf_type('#skF_19',member_type('#skF_13'))
| ~ member('#skF_16',power_set('#skF_16')) ),
inference(resolution,[status(thm)],[c_552,c_5784]) ).
tff(c_5793,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_478,c_304,c_406,c_5787]) ).
tff(c_5794,plain,
member(ordered_pair('#skF_17','#skF_18'),compose5('#skF_12','#skF_13','#skF_14','#skF_15','#skF_16')),
inference(splitRight,[status(thm)],[c_146]) ).
tff(c_7422,plain,
member(ordered_pair('#skF_17','#skF_18'),compose('#skF_15','#skF_16')),
inference(demodulation,[status(thm),theory(equality)],[c_7417,c_5794]) ).
tff(c_6,plain,
! [B_1,C_25,D_37,E_43] :
( member(ordered_pair(B_1,'#skF_1'(B_1,C_25,D_37,E_43)),D_37)
| ~ member(ordered_pair(B_1,C_25),compose(D_37,E_43))
| ~ ilf_type(E_43,binary_relation_type)
| ~ ilf_type(D_37,binary_relation_type)
| ~ ilf_type(C_25,set_type)
| ~ ilf_type(B_1,set_type) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_7452,plain,
! [B_1364,C_1365,D_1366,E_1367] :
( member(ordered_pair(B_1364,'#skF_1'(B_1364,C_1365,D_1366,E_1367)),D_1366)
| ~ member(ordered_pair(B_1364,C_1365),compose(D_1366,E_1367))
| ~ ilf_type(E_1367,binary_relation_type)
| ~ ilf_type(D_1366,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_6]) ).
tff(c_32,plain,
! [C_137,B_134] :
( ~ member(C_137,B_134)
| ~ ilf_type(C_137,set_type)
| ~ empty(B_134)
| ~ ilf_type(B_134,set_type) ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_215,plain,
! [C_137,B_134] :
( ~ member(C_137,B_134)
| ~ empty(B_134) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_32]) ).
tff(c_9365,plain,
! [D_1473,B_1474,C_1475,E_1476] :
( ~ empty(D_1473)
| ~ member(ordered_pair(B_1474,C_1475),compose(D_1473,E_1476))
| ~ ilf_type(E_1476,binary_relation_type)
| ~ ilf_type(D_1473,binary_relation_type) ),
inference(resolution,[status(thm)],[c_7452,c_215]) ).
tff(c_9385,plain,
( ~ empty('#skF_15')
| ~ ilf_type('#skF_16',binary_relation_type)
| ~ ilf_type('#skF_15',binary_relation_type) ),
inference(resolution,[status(thm)],[c_7422,c_9365]) ).
tff(c_9387,plain,
~ ilf_type('#skF_15',binary_relation_type),
inference(splitLeft,[status(thm)],[c_9385]) ).
tff(c_9390,plain,
~ relation_like('#skF_15'),
inference(resolution,[status(thm)],[c_201,c_9387]) ).
tff(c_9394,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6478,c_9390]) ).
tff(c_9396,plain,
ilf_type('#skF_15',binary_relation_type),
inference(splitRight,[status(thm)],[c_9385]) ).
tff(c_6479,plain,
relation_like('#skF_16'),
inference(resolution,[status(thm)],[c_120,c_6448]) ).
tff(c_8176,plain,
! [C_1396,D_1397,F_1398,E_1399,B_1400] :
( member(ordered_pair(B_1400,C_1396),compose(D_1397,E_1399))
| ~ member(ordered_pair(F_1398,C_1396),E_1399)
| ~ member(ordered_pair(B_1400,F_1398),D_1397)
| ~ ilf_type(E_1399,binary_relation_type)
| ~ ilf_type(D_1397,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_114,c_2]) ).
tff(c_8209,plain,
! [B_1400,D_1397] :
( member(ordered_pair(B_1400,'#skF_18'),compose(D_1397,'#skF_16'))
| ~ member(ordered_pair(B_1400,'#skF_19'),D_1397)
| ~ ilf_type('#skF_16',binary_relation_type)
| ~ ilf_type(D_1397,binary_relation_type) ),
inference(resolution,[status(thm)],[c_334,c_8176]) ).
tff(c_36393,plain,
~ ilf_type('#skF_16',binary_relation_type),
inference(splitLeft,[status(thm)],[c_8209]) ).
tff(c_36396,plain,
~ relation_like('#skF_16'),
inference(resolution,[status(thm)],[c_201,c_36393]) ).
tff(c_36400,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6479,c_36396]) ).
tff(c_36402,plain,
ilf_type('#skF_16',binary_relation_type),
inference(splitRight,[status(thm)],[c_8209]) ).
tff(c_241,plain,
! [B_1,C_25,D_37,E_43] :
( member(ordered_pair(B_1,'#skF_1'(B_1,C_25,D_37,E_43)),D_37)
| ~ member(ordered_pair(B_1,C_25),compose(D_37,E_43))
| ~ ilf_type(E_43,binary_relation_type)
| ~ ilf_type(D_37,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_6]) ).
tff(c_4,plain,
! [B_1,C_25,D_37,E_43] :
( member(ordered_pair('#skF_1'(B_1,C_25,D_37,E_43),C_25),E_43)
| ~ member(ordered_pair(B_1,C_25),compose(D_37,E_43))
| ~ ilf_type(E_43,binary_relation_type)
| ~ ilf_type(D_37,binary_relation_type)
| ~ ilf_type(C_25,set_type)
| ~ ilf_type(B_1,set_type) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_7553,plain,
! [B_1378,C_1379,D_1380,E_1381] :
( member(ordered_pair('#skF_1'(B_1378,C_1379,D_1380,E_1381),C_1379),E_1381)
| ~ member(ordered_pair(B_1378,C_1379),compose(D_1380,E_1381))
| ~ ilf_type(E_1381,binary_relation_type)
| ~ ilf_type(D_1380,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_4]) ).
tff(c_5795,plain,
~ member(ordered_pair('#skF_17','#skF_19'),'#skF_15'),
inference(splitRight,[status(thm)],[c_146]) ).
tff(c_144,plain,
! [I_653] :
( ~ member(ordered_pair(I_653,'#skF_18'),'#skF_16')
| ~ member(ordered_pair('#skF_17',I_653),'#skF_15')
| ~ ilf_type(I_653,member_type('#skF_13'))
| member(ordered_pair('#skF_17','#skF_19'),'#skF_15') ),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_6114,plain,
! [I_653] :
( ~ member(ordered_pair(I_653,'#skF_18'),'#skF_16')
| ~ member(ordered_pair('#skF_17',I_653),'#skF_15')
| ~ ilf_type(I_653,member_type('#skF_13')) ),
inference(negUnitSimplification,[status(thm)],[c_5795,c_144]) ).
tff(c_7587,plain,
! [B_1378,D_1380] :
( ~ member(ordered_pair('#skF_17','#skF_1'(B_1378,'#skF_18',D_1380,'#skF_16')),'#skF_15')
| ~ ilf_type('#skF_1'(B_1378,'#skF_18',D_1380,'#skF_16'),member_type('#skF_13'))
| ~ member(ordered_pair(B_1378,'#skF_18'),compose(D_1380,'#skF_16'))
| ~ ilf_type('#skF_16',binary_relation_type)
| ~ ilf_type(D_1380,binary_relation_type) ),
inference(resolution,[status(thm)],[c_7553,c_6114]) ).
tff(c_42747,plain,
! [B_3680,D_3681] :
( ~ member(ordered_pair('#skF_17','#skF_1'(B_3680,'#skF_18',D_3681,'#skF_16')),'#skF_15')
| ~ ilf_type('#skF_1'(B_3680,'#skF_18',D_3681,'#skF_16'),member_type('#skF_13'))
| ~ member(ordered_pair(B_3680,'#skF_18'),compose(D_3681,'#skF_16'))
| ~ ilf_type(D_3681,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_36402,c_7587]) ).
tff(c_42755,plain,
( ~ ilf_type('#skF_1'('#skF_17','#skF_18','#skF_15','#skF_16'),member_type('#skF_13'))
| ~ member(ordered_pair('#skF_17','#skF_18'),compose('#skF_15','#skF_16'))
| ~ ilf_type('#skF_16',binary_relation_type)
| ~ ilf_type('#skF_15',binary_relation_type) ),
inference(resolution,[status(thm)],[c_241,c_42747]) ).
tff(c_42761,plain,
~ ilf_type('#skF_1'('#skF_17','#skF_18','#skF_15','#skF_16'),member_type('#skF_13')),
inference(demodulation,[status(thm),theory(equality)],[c_9396,c_36402,c_7422,c_42755]) ).
tff(c_42764,plain,
( ~ member('#skF_1'('#skF_17','#skF_18','#skF_15','#skF_16'),'#skF_13')
| empty('#skF_13') ),
inference(resolution,[status(thm)],[c_221,c_42761]) ).
tff(c_42767,plain,
~ member('#skF_1'('#skF_17','#skF_18','#skF_15','#skF_16'),'#skF_13'),
inference(negUnitSimplification,[status(thm)],[c_130,c_42764]) ).
tff(c_12,plain,
! [B_47,C_63,F_77,E_75,D_71] :
( member(D_71,B_47)
| ~ member(ordered_pair(D_71,E_75),F_77)
| ~ ilf_type(F_77,relation_type(B_47,C_63))
| ~ ilf_type(E_75,set_type)
| ~ ilf_type(D_71,set_type)
| ~ ilf_type(C_63,set_type)
| ~ ilf_type(B_47,set_type) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_235,plain,
! [B_47,C_63,F_77,E_75,D_71] :
( member(D_71,B_47)
| ~ member(ordered_pair(D_71,E_75),F_77)
| ~ ilf_type(F_77,relation_type(B_47,C_63)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_114,c_114,c_12]) ).
tff(c_41325,plain,
! [E_3612,B_3611,C_3614,D_3613,C_3615,B_3610] :
( member('#skF_1'(B_3610,C_3615,D_3613,E_3612),B_3611)
| ~ ilf_type(E_3612,relation_type(B_3611,C_3614))
| ~ member(ordered_pair(B_3610,C_3615),compose(D_3613,E_3612))
| ~ ilf_type(E_3612,binary_relation_type)
| ~ ilf_type(D_3613,binary_relation_type) ),
inference(resolution,[status(thm)],[c_7553,c_235]) ).
tff(c_41373,plain,
! [B_3610,C_3615,D_3613] :
( member('#skF_1'(B_3610,C_3615,D_3613,'#skF_16'),'#skF_13')
| ~ member(ordered_pair(B_3610,C_3615),compose(D_3613,'#skF_16'))
| ~ ilf_type('#skF_16',binary_relation_type)
| ~ ilf_type(D_3613,binary_relation_type) ),
inference(resolution,[status(thm)],[c_120,c_41325]) ).
tff(c_49740,plain,
! [B_3912,C_3913,D_3914] :
( member('#skF_1'(B_3912,C_3913,D_3914,'#skF_16'),'#skF_13')
| ~ member(ordered_pair(B_3912,C_3913),compose(D_3914,'#skF_16'))
| ~ ilf_type(D_3914,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_36402,c_41373]) ).
tff(c_49770,plain,
( member('#skF_1'('#skF_17','#skF_18','#skF_15','#skF_16'),'#skF_13')
| ~ ilf_type('#skF_15',binary_relation_type) ),
inference(resolution,[status(thm)],[c_7422,c_49740]) ).
tff(c_49791,plain,
member('#skF_1'('#skF_17','#skF_18','#skF_15','#skF_16'),'#skF_13'),
inference(demodulation,[status(thm),theory(equality)],[c_9396,c_49770]) ).
tff(c_49793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42767,c_49791]) ).
tff(c_49794,plain,
member(ordered_pair('#skF_17','#skF_18'),compose5('#skF_12','#skF_13','#skF_14','#skF_15','#skF_16')),
inference(splitRight,[status(thm)],[c_142]) ).
tff(c_51472,plain,
member(ordered_pair('#skF_17','#skF_18'),compose('#skF_15','#skF_16')),
inference(demodulation,[status(thm),theory(equality)],[c_51468,c_49794]) ).
tff(c_51599,plain,
! [B_4137,C_4138,D_4139,E_4140] :
( member(ordered_pair('#skF_1'(B_4137,C_4138,D_4139,E_4140),C_4138),E_4140)
| ~ member(ordered_pair(B_4137,C_4138),compose(D_4139,E_4140))
| ~ ilf_type(E_4140,binary_relation_type)
| ~ ilf_type(D_4139,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_4]) ).
tff(c_53277,plain,
! [E_4225,B_4226,C_4227,D_4228] :
( ~ empty(E_4225)
| ~ member(ordered_pair(B_4226,C_4227),compose(D_4228,E_4225))
| ~ ilf_type(E_4225,binary_relation_type)
| ~ ilf_type(D_4228,binary_relation_type) ),
inference(resolution,[status(thm)],[c_51599,c_215]) ).
tff(c_53297,plain,
( ~ empty('#skF_16')
| ~ ilf_type('#skF_16',binary_relation_type)
| ~ ilf_type('#skF_15',binary_relation_type) ),
inference(resolution,[status(thm)],[c_51472,c_53277]) ).
tff(c_53299,plain,
~ ilf_type('#skF_15',binary_relation_type),
inference(splitLeft,[status(thm)],[c_53297]) ).
tff(c_53302,plain,
~ relation_like('#skF_15'),
inference(resolution,[status(thm)],[c_201,c_53299]) ).
tff(c_53306,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50539,c_53302]) ).
tff(c_53308,plain,
ilf_type('#skF_15',binary_relation_type),
inference(splitRight,[status(thm)],[c_53297]) ).
tff(c_50540,plain,
relation_like('#skF_16'),
inference(resolution,[status(thm)],[c_120,c_50509]) ).
tff(c_51502,plain,
! [B_4119,C_4120,D_4121,E_4122] :
( member(ordered_pair(B_4119,'#skF_1'(B_4119,C_4120,D_4121,E_4122)),D_4121)
| ~ member(ordered_pair(B_4119,C_4120),compose(D_4121,E_4122))
| ~ ilf_type(E_4122,binary_relation_type)
| ~ ilf_type(D_4121,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_6]) ).
tff(c_83789,plain,
! [E_6108,C_6112,D_6110,C_6111,B_6107,B_6109] :
( member(B_6107,B_6109)
| ~ ilf_type(D_6110,relation_type(B_6109,C_6111))
| ~ member(ordered_pair(B_6107,C_6112),compose(D_6110,E_6108))
| ~ ilf_type(E_6108,binary_relation_type)
| ~ ilf_type(D_6110,binary_relation_type) ),
inference(resolution,[status(thm)],[c_51502,c_235]) ).
tff(c_83863,plain,
! [B_6107,C_6112,E_6108] :
( member(B_6107,'#skF_13')
| ~ member(ordered_pair(B_6107,C_6112),compose('#skF_16',E_6108))
| ~ ilf_type(E_6108,binary_relation_type)
| ~ ilf_type('#skF_16',binary_relation_type) ),
inference(resolution,[status(thm)],[c_120,c_83789]) ).
tff(c_83925,plain,
~ ilf_type('#skF_16',binary_relation_type),
inference(splitLeft,[status(thm)],[c_83863]) ).
tff(c_83928,plain,
~ relation_like('#skF_16'),
inference(resolution,[status(thm)],[c_201,c_83925]) ).
tff(c_83932,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50540,c_83928]) ).
tff(c_83934,plain,
ilf_type('#skF_16',binary_relation_type),
inference(splitRight,[status(thm)],[c_83863]) ).
tff(c_49795,plain,
~ member(ordered_pair('#skF_19','#skF_18'),'#skF_16'),
inference(splitRight,[status(thm)],[c_142]) ).
tff(c_140,plain,
! [I_653] :
( ~ member(ordered_pair(I_653,'#skF_18'),'#skF_16')
| ~ member(ordered_pair('#skF_17',I_653),'#skF_15')
| ~ ilf_type(I_653,member_type('#skF_13'))
| member(ordered_pair('#skF_19','#skF_18'),'#skF_16') ),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_50099,plain,
! [I_653] :
( ~ member(ordered_pair(I_653,'#skF_18'),'#skF_16')
| ~ member(ordered_pair('#skF_17',I_653),'#skF_15')
| ~ ilf_type(I_653,member_type('#skF_13')) ),
inference(negUnitSimplification,[status(thm)],[c_49795,c_140]) ).
tff(c_51633,plain,
! [B_4137,D_4139] :
( ~ member(ordered_pair('#skF_17','#skF_1'(B_4137,'#skF_18',D_4139,'#skF_16')),'#skF_15')
| ~ ilf_type('#skF_1'(B_4137,'#skF_18',D_4139,'#skF_16'),member_type('#skF_13'))
| ~ member(ordered_pair(B_4137,'#skF_18'),compose(D_4139,'#skF_16'))
| ~ ilf_type('#skF_16',binary_relation_type)
| ~ ilf_type(D_4139,binary_relation_type) ),
inference(resolution,[status(thm)],[c_51599,c_50099]) ).
tff(c_86076,plain,
! [B_6209,D_6210] :
( ~ member(ordered_pair('#skF_17','#skF_1'(B_6209,'#skF_18',D_6210,'#skF_16')),'#skF_15')
| ~ ilf_type('#skF_1'(B_6209,'#skF_18',D_6210,'#skF_16'),member_type('#skF_13'))
| ~ member(ordered_pair(B_6209,'#skF_18'),compose(D_6210,'#skF_16'))
| ~ ilf_type(D_6210,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_83934,c_51633]) ).
tff(c_86084,plain,
( ~ ilf_type('#skF_1'('#skF_17','#skF_18','#skF_15','#skF_16'),member_type('#skF_13'))
| ~ member(ordered_pair('#skF_17','#skF_18'),compose('#skF_15','#skF_16'))
| ~ ilf_type('#skF_16',binary_relation_type)
| ~ ilf_type('#skF_15',binary_relation_type) ),
inference(resolution,[status(thm)],[c_241,c_86076]) ).
tff(c_86090,plain,
~ ilf_type('#skF_1'('#skF_17','#skF_18','#skF_15','#skF_16'),member_type('#skF_13')),
inference(demodulation,[status(thm),theory(equality)],[c_53308,c_83934,c_51472,c_86084]) ).
tff(c_86093,plain,
( ~ member('#skF_1'('#skF_17','#skF_18','#skF_15','#skF_16'),'#skF_13')
| empty('#skF_13') ),
inference(resolution,[status(thm)],[c_221,c_86090]) ).
tff(c_86096,plain,
~ member('#skF_1'('#skF_17','#skF_18','#skF_15','#skF_16'),'#skF_13'),
inference(negUnitSimplification,[status(thm)],[c_130,c_86093]) ).
tff(c_84626,plain,
! [E_6140,C_6142,B_6139,D_6144,B_6141,C_6143] :
( member('#skF_1'(B_6141,C_6143,D_6144,E_6140),B_6139)
| ~ ilf_type(E_6140,relation_type(B_6139,C_6142))
| ~ member(ordered_pair(B_6141,C_6143),compose(D_6144,E_6140))
| ~ ilf_type(E_6140,binary_relation_type)
| ~ ilf_type(D_6144,binary_relation_type) ),
inference(resolution,[status(thm)],[c_51599,c_235]) ).
tff(c_84674,plain,
! [B_6141,C_6143,D_6144] :
( member('#skF_1'(B_6141,C_6143,D_6144,'#skF_16'),'#skF_13')
| ~ member(ordered_pair(B_6141,C_6143),compose(D_6144,'#skF_16'))
| ~ ilf_type('#skF_16',binary_relation_type)
| ~ ilf_type(D_6144,binary_relation_type) ),
inference(resolution,[status(thm)],[c_120,c_84626]) ).
tff(c_94043,plain,
! [B_6478,C_6479,D_6480] :
( member('#skF_1'(B_6478,C_6479,D_6480,'#skF_16'),'#skF_13')
| ~ member(ordered_pair(B_6478,C_6479),compose(D_6480,'#skF_16'))
| ~ ilf_type(D_6480,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_83934,c_84674]) ).
tff(c_94070,plain,
( member('#skF_1'('#skF_17','#skF_18','#skF_15','#skF_16'),'#skF_13')
| ~ ilf_type('#skF_15',binary_relation_type) ),
inference(resolution,[status(thm)],[c_51472,c_94043]) ).
tff(c_94090,plain,
member('#skF_1'('#skF_17','#skF_18','#skF_15','#skF_16'),'#skF_13'),
inference(demodulation,[status(thm),theory(equality)],[c_53308,c_94070]) ).
tff(c_94092,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86096,c_94090]) ).
tff(c_94093,plain,
member(ordered_pair('#skF_17','#skF_18'),compose5('#skF_12','#skF_13','#skF_14','#skF_15','#skF_16')),
inference(splitRight,[status(thm)],[c_150]) ).
tff(c_97931,plain,
member(ordered_pair('#skF_17','#skF_18'),compose('#skF_15','#skF_16')),
inference(demodulation,[status(thm),theory(equality)],[c_97924,c_94093]) ).
tff(c_98484,plain,
! [B_6983,C_6984,D_6985,E_6986] :
( member(ordered_pair(B_6983,'#skF_1'(B_6983,C_6984,D_6985,E_6986)),D_6985)
| ~ member(ordered_pair(B_6983,C_6984),compose(D_6985,E_6986))
| ~ ilf_type(E_6986,binary_relation_type)
| ~ ilf_type(D_6985,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_6]) ).
tff(c_113861,plain,
! [D_8008,B_8009,C_8010,E_8011] :
( ~ empty(D_8008)
| ~ member(ordered_pair(B_8009,C_8010),compose(D_8008,E_8011))
| ~ ilf_type(E_8011,binary_relation_type)
| ~ ilf_type(D_8008,binary_relation_type) ),
inference(resolution,[status(thm)],[c_98484,c_215]) ).
tff(c_113877,plain,
( ~ empty('#skF_15')
| ~ ilf_type('#skF_16',binary_relation_type)
| ~ ilf_type('#skF_15',binary_relation_type) ),
inference(resolution,[status(thm)],[c_97931,c_113861]) ).
tff(c_113879,plain,
~ ilf_type('#skF_15',binary_relation_type),
inference(splitLeft,[status(thm)],[c_113877]) ).
tff(c_113882,plain,
~ relation_like('#skF_15'),
inference(resolution,[status(thm)],[c_201,c_113879]) ).
tff(c_113886,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_96803,c_113882]) ).
tff(c_113888,plain,
ilf_type('#skF_15',binary_relation_type),
inference(splitRight,[status(thm)],[c_113877]) ).
tff(c_96804,plain,
relation_like('#skF_16'),
inference(resolution,[status(thm)],[c_120,c_96792]) ).
tff(c_98051,plain,
! [B_6969,C_6970,D_6971,E_6972] :
( member(ordered_pair('#skF_1'(B_6969,C_6970,D_6971,E_6972),C_6970),E_6972)
| ~ member(ordered_pair(B_6969,C_6970),compose(D_6971,E_6972))
| ~ ilf_type(E_6972,binary_relation_type)
| ~ ilf_type(D_6971,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_4]) ).
tff(c_113975,plain,
! [E_8020,B_8021,C_8022,D_8023] :
( ~ empty(E_8020)
| ~ member(ordered_pair(B_8021,C_8022),compose(D_8023,E_8020))
| ~ ilf_type(E_8020,binary_relation_type)
| ~ ilf_type(D_8023,binary_relation_type) ),
inference(resolution,[status(thm)],[c_98051,c_215]) ).
tff(c_113986,plain,
( ~ empty('#skF_16')
| ~ ilf_type('#skF_16',binary_relation_type)
| ~ ilf_type('#skF_15',binary_relation_type) ),
inference(resolution,[status(thm)],[c_97931,c_113975]) ).
tff(c_113993,plain,
( ~ empty('#skF_16')
| ~ ilf_type('#skF_16',binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_113888,c_113986]) ).
tff(c_113994,plain,
~ ilf_type('#skF_16',binary_relation_type),
inference(splitLeft,[status(thm)],[c_113993]) ).
tff(c_113997,plain,
~ relation_like('#skF_16'),
inference(resolution,[status(thm)],[c_201,c_113994]) ).
tff(c_114001,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_96804,c_113997]) ).
tff(c_114003,plain,
ilf_type('#skF_16',binary_relation_type),
inference(splitRight,[status(thm)],[c_113993]) ).
tff(c_94094,plain,
~ ilf_type('#skF_19',member_type('#skF_13')),
inference(splitRight,[status(thm)],[c_150]) ).
tff(c_148,plain,
! [I_653] :
( ~ member(ordered_pair(I_653,'#skF_18'),'#skF_16')
| ~ member(ordered_pair('#skF_17',I_653),'#skF_15')
| ~ ilf_type(I_653,member_type('#skF_13'))
| ilf_type('#skF_19',member_type('#skF_13')) ),
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_96428,plain,
! [I_653] :
( ~ member(ordered_pair(I_653,'#skF_18'),'#skF_16')
| ~ member(ordered_pair('#skF_17',I_653),'#skF_15')
| ~ ilf_type(I_653,member_type('#skF_13')) ),
inference(negUnitSimplification,[status(thm)],[c_94094,c_148]) ).
tff(c_98087,plain,
! [B_6969,D_6971] :
( ~ member(ordered_pair('#skF_17','#skF_1'(B_6969,'#skF_18',D_6971,'#skF_16')),'#skF_15')
| ~ ilf_type('#skF_1'(B_6969,'#skF_18',D_6971,'#skF_16'),member_type('#skF_13'))
| ~ member(ordered_pair(B_6969,'#skF_18'),compose(D_6971,'#skF_16'))
| ~ ilf_type('#skF_16',binary_relation_type)
| ~ ilf_type(D_6971,binary_relation_type) ),
inference(resolution,[status(thm)],[c_98051,c_96428]) ).
tff(c_134452,plain,
! [B_9171,D_9172] :
( ~ member(ordered_pair('#skF_17','#skF_1'(B_9171,'#skF_18',D_9172,'#skF_16')),'#skF_15')
| ~ ilf_type('#skF_1'(B_9171,'#skF_18',D_9172,'#skF_16'),member_type('#skF_13'))
| ~ member(ordered_pair(B_9171,'#skF_18'),compose(D_9172,'#skF_16'))
| ~ ilf_type(D_9172,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_114003,c_98087]) ).
tff(c_134460,plain,
( ~ ilf_type('#skF_1'('#skF_17','#skF_18','#skF_15','#skF_16'),member_type('#skF_13'))
| ~ member(ordered_pair('#skF_17','#skF_18'),compose('#skF_15','#skF_16'))
| ~ ilf_type('#skF_16',binary_relation_type)
| ~ ilf_type('#skF_15',binary_relation_type) ),
inference(resolution,[status(thm)],[c_241,c_134452]) ).
tff(c_134466,plain,
~ ilf_type('#skF_1'('#skF_17','#skF_18','#skF_15','#skF_16'),member_type('#skF_13')),
inference(demodulation,[status(thm),theory(equality)],[c_113888,c_114003,c_97931,c_134460]) ).
tff(c_134469,plain,
( ~ member('#skF_1'('#skF_17','#skF_18','#skF_15','#skF_16'),'#skF_13')
| empty('#skF_13') ),
inference(resolution,[status(thm)],[c_221,c_134466]) ).
tff(c_134472,plain,
~ member('#skF_1'('#skF_17','#skF_18','#skF_15','#skF_16'),'#skF_13'),
inference(negUnitSimplification,[status(thm)],[c_130,c_134469]) ).
tff(c_10,plain,
! [B_47,C_63,F_77,E_75,D_71] :
( member(E_75,C_63)
| ~ member(ordered_pair(D_71,E_75),F_77)
| ~ ilf_type(F_77,relation_type(B_47,C_63))
| ~ ilf_type(E_75,set_type)
| ~ ilf_type(D_71,set_type)
| ~ ilf_type(C_63,set_type)
| ~ ilf_type(B_47,set_type) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_237,plain,
! [B_47,C_63,F_77,E_75,D_71] :
( member(E_75,C_63)
| ~ member(ordered_pair(D_71,E_75),F_77)
| ~ ilf_type(F_77,relation_type(B_47,C_63)) ),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_114,c_114,c_114,c_10]) ).
tff(c_133152,plain,
! [E_9111,D_9109,C_9113,C_9110,B_9108,B_9112] :
( member('#skF_1'(B_9112,C_9113,D_9109,E_9111),C_9110)
| ~ ilf_type(D_9109,relation_type(B_9108,C_9110))
| ~ member(ordered_pair(B_9112,C_9113),compose(D_9109,E_9111))
| ~ ilf_type(E_9111,binary_relation_type)
| ~ ilf_type(D_9109,binary_relation_type) ),
inference(resolution,[status(thm)],[c_98484,c_237]) ).
tff(c_133196,plain,
! [B_9112,C_9113,E_9111] :
( member('#skF_1'(B_9112,C_9113,'#skF_15',E_9111),'#skF_13')
| ~ member(ordered_pair(B_9112,C_9113),compose('#skF_15',E_9111))
| ~ ilf_type(E_9111,binary_relation_type)
| ~ ilf_type('#skF_15',binary_relation_type) ),
inference(resolution,[status(thm)],[c_122,c_133152]) ).
tff(c_146306,plain,
! [B_9435,C_9436,E_9437] :
( member('#skF_1'(B_9435,C_9436,'#skF_15',E_9437),'#skF_13')
| ~ member(ordered_pair(B_9435,C_9436),compose('#skF_15',E_9437))
| ~ ilf_type(E_9437,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_113888,c_133196]) ).
tff(c_146333,plain,
( member('#skF_1'('#skF_17','#skF_18','#skF_15','#skF_16'),'#skF_13')
| ~ ilf_type('#skF_16',binary_relation_type) ),
inference(resolution,[status(thm)],[c_97931,c_146306]) ).
tff(c_146349,plain,
member('#skF_1'('#skF_17','#skF_18','#skF_15','#skF_16'),'#skF_13'),
inference(demodulation,[status(thm),theory(equality)],[c_114003,c_146333]) ).
tff(c_146351,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134472,c_146349]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET684+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % 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
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Thu Aug 3 17:20:37 EDT 2023
% 0.19/0.34 % CPUTime :
% 35.28/20.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.28/20.68
% 35.28/20.68 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 35.28/20.73
% 35.28/20.73 Inference rules
% 35.28/20.73 ----------------------
% 35.28/20.73 #Ref : 11
% 35.28/20.73 #Sup : 34427
% 35.28/20.73 #Fact : 54
% 35.28/20.73 #Define : 0
% 35.28/20.73 #Split : 143
% 35.28/20.73 #Chain : 0
% 35.28/20.73 #Close : 0
% 35.28/20.73
% 35.28/20.73 Ordering : KBO
% 35.28/20.73
% 35.28/20.73 Simplification rules
% 35.28/20.73 ----------------------
% 35.28/20.73 #Subsume : 9310
% 35.28/20.73 #Demod : 3137
% 35.28/20.73 #Tautology : 2047
% 35.28/20.73 #SimpNegUnit : 1348
% 35.28/20.73 #BackRed : 163
% 35.28/20.73
% 35.28/20.73 #Partial instantiations: 0
% 35.28/20.73 #Strategies tried : 1
% 35.28/20.73
% 35.28/20.73 Timing (in seconds)
% 35.28/20.73 ----------------------
% 35.28/20.74 Preprocessing : 0.71
% 35.28/20.74 Parsing : 0.34
% 35.28/20.74 CNF conversion : 0.09
% 35.28/20.74 Main loop : 18.93
% 35.28/20.74 Inferencing : 4.83
% 35.28/20.74 Reduction : 7.60
% 35.28/20.74 Demodulation : 5.89
% 35.28/20.74 BG Simplification : 0.32
% 35.28/20.74 Subsumption : 4.87
% 35.28/20.74 Abstraction : 0.46
% 35.28/20.74 MUC search : 0.00
% 35.28/20.74 Cooper : 0.00
% 35.28/20.74 Total : 19.74
% 35.28/20.74 Index Insertion : 0.00
% 35.28/20.74 Index Deletion : 0.00
% 35.28/20.74 Index Matching : 0.00
% 35.28/20.74 BG Taut test : 0.00
%------------------------------------------------------------------------------