TSTP Solution File: SET593+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET593+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n020.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 10:56:39 EDT 2023
% Result : Theorem 138.86s 105.72s
% Output : CNFRefutation 139.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 97 ( 21 unt; 10 typ; 0 def)
% Number of atoms : 202 ( 25 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 184 ( 69 ~; 106 |; 2 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 7 >; 7 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 191 (; 191 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > member > union > difference > #nlpp > #skF_3 > #skF_5 > #skF_6 > #skF_4 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(union,type,
union: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff(member,type,
member: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(difference,type,
difference: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_73,negated_conjecture,
~ ! [B,C,D] :
( subset(B,union(C,D))
=> ( subset(difference(B,C),D)
& subset(difference(B,D),C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th52) ).
tff(f_51,axiom,
! [B,C] :
( subset(B,C)
<=> ! [D] :
( member(D,B)
=> member(D,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
tff(f_43,axiom,
! [B,C,D] :
( member(D,difference(B,C))
<=> ( member(D,B)
& ~ member(D,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
tff(f_65,axiom,
! [B,C] :
( ( B = C )
<=> ! [D] :
( member(D,B)
<=> member(D,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
tff(f_54,axiom,
! [B,C] : ( union(B,C) = union(C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_union) ).
tff(f_35,axiom,
! [B,C,D] :
( member(D,union(B,C))
<=> ( member(D,B)
| member(D,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
tff(c_36,plain,
( ~ subset(difference('#skF_4','#skF_6'),'#skF_5')
| ~ subset(difference('#skF_4','#skF_5'),'#skF_6') ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_118,plain,
~ subset(difference('#skF_4','#skF_5'),'#skF_6'),
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_18,plain,
! [B_7,C_8] :
( member('#skF_1'(B_7,C_8),B_7)
| subset(B_7,C_8) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_149,plain,
! [D_45,B_46,C_47] :
( member(D_45,difference(B_46,C_47))
| member(D_45,C_47)
| ~ member(D_45,B_46) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_16,plain,
! [B_7,C_8] :
( ~ member('#skF_1'(B_7,C_8),C_8)
| subset(B_7,C_8) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_3838,plain,
! [B_315,B_316,C_317] :
( subset(B_315,difference(B_316,C_317))
| member('#skF_1'(B_315,difference(B_316,C_317)),C_317)
| ~ member('#skF_1'(B_315,difference(B_316,C_317)),B_316) ),
inference(resolution,[status(thm)],[c_149,c_16]) ).
tff(c_3954,plain,
! [B_321,C_322] :
( member('#skF_1'(B_321,difference(B_321,C_322)),C_322)
| subset(B_321,difference(B_321,C_322)) ),
inference(resolution,[status(thm)],[c_18,c_3838]) ).
tff(c_10,plain,
! [D_6,C_5,B_4] :
( ~ member(D_6,C_5)
| ~ member(D_6,difference(B_4,C_5)) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_206208,plain,
! [B_3323,B_3324,C_3325] :
( ~ member('#skF_1'(B_3323,difference(B_3323,difference(B_3324,C_3325))),C_3325)
| subset(B_3323,difference(B_3323,difference(B_3324,C_3325))) ),
inference(resolution,[status(thm)],[c_3954,c_10]) ).
tff(c_206800,plain,
! [B_7,B_3324] : subset(B_7,difference(B_7,difference(B_3324,B_7))),
inference(resolution,[status(thm)],[c_18,c_206208]) ).
tff(c_112,plain,
! [D_36,B_37,C_38] :
( member(D_36,B_37)
| ~ member(D_36,difference(B_37,C_38)) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_346,plain,
! [B_70,C_71,C_72] :
( member('#skF_1'(difference(B_70,C_71),C_72),B_70)
| subset(difference(B_70,C_71),C_72) ),
inference(resolution,[status(thm)],[c_18,c_112]) ).
tff(c_374,plain,
! [B_70,C_71] : subset(difference(B_70,C_71),B_70),
inference(resolution,[status(thm)],[c_346,c_16]) ).
tff(c_249,plain,
! [B_64,C_65] :
( member('#skF_2'(B_64,C_65),C_65)
| member('#skF_3'(B_64,C_65),B_64)
| ( C_65 = B_64 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_12,plain,
! [D_6,B_4,C_5] :
( member(D_6,B_4)
| ~ member(D_6,difference(B_4,C_5)) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_3087,plain,
! [B_274,C_275,C_276] :
( member('#skF_3'(difference(B_274,C_275),C_276),B_274)
| member('#skF_2'(difference(B_274,C_275),C_276),C_276)
| ( difference(B_274,C_275) = C_276 ) ),
inference(resolution,[status(thm)],[c_249,c_12]) ).
tff(c_14,plain,
! [D_11,C_8,B_7] :
( member(D_11,C_8)
| ~ member(D_11,B_7)
| ~ subset(B_7,C_8) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_32491,plain,
! [B_1182,C_1183,C_1184,C_1185] :
( member('#skF_2'(difference(B_1182,C_1183),C_1184),C_1185)
| ~ subset(C_1184,C_1185)
| member('#skF_3'(difference(B_1182,C_1183),C_1184),B_1182)
| ( difference(B_1182,C_1183) = C_1184 ) ),
inference(resolution,[status(thm)],[c_3087,c_14]) ).
tff(c_302,plain,
! [B_66,C_67] :
( ~ member('#skF_2'(B_66,C_67),B_66)
| member('#skF_3'(B_66,C_67),B_66)
| ( C_67 = B_66 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_330,plain,
! [B_4,C_5,C_67] :
( member('#skF_3'(difference(B_4,C_5),C_67),B_4)
| ~ member('#skF_2'(difference(B_4,C_5),C_67),difference(B_4,C_5))
| ( difference(B_4,C_5) = C_67 ) ),
inference(resolution,[status(thm)],[c_302,c_12]) ).
tff(c_278423,plain,
! [C_3913,B_3914,C_3915] :
( ~ subset(C_3913,difference(B_3914,C_3915))
| member('#skF_3'(difference(B_3914,C_3915),C_3913),B_3914)
| ( difference(B_3914,C_3915) = C_3913 ) ),
inference(resolution,[status(thm)],[c_32491,c_330]) ).
tff(c_962,plain,
! [B_137,C_138,C_139] :
( member('#skF_3'(B_137,C_138),C_139)
| ~ subset(B_137,C_139)
| member('#skF_2'(B_137,C_138),C_138)
| ( C_138 = B_137 ) ),
inference(resolution,[status(thm)],[c_249,c_14]) ).
tff(c_30,plain,
! [B_15,C_16] :
( member('#skF_2'(B_15,C_16),C_16)
| ~ member('#skF_3'(B_15,C_16),C_16)
| ( C_16 = B_15 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_1023,plain,
! [B_140,C_141] :
( ~ subset(B_140,C_141)
| member('#skF_2'(B_140,C_141),C_141)
| ( C_141 = B_140 ) ),
inference(resolution,[status(thm)],[c_962,c_30]) ).
tff(c_1411,plain,
! [B_177,C_178,C_179] :
( member('#skF_2'(B_177,C_178),C_179)
| ~ subset(C_178,C_179)
| ~ subset(B_177,C_178)
| ( C_178 = B_177 ) ),
inference(resolution,[status(thm)],[c_1023,c_14]) ).
tff(c_28,plain,
! [B_15,C_16] :
( ~ member('#skF_2'(B_15,C_16),B_15)
| ~ member('#skF_3'(B_15,C_16),C_16)
| ( C_16 = B_15 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_1443,plain,
! [C_179,C_178] :
( ~ member('#skF_3'(C_179,C_178),C_178)
| ~ subset(C_178,C_179)
| ~ subset(C_179,C_178)
| ( C_179 = C_178 ) ),
inference(resolution,[status(thm)],[c_1411,c_28]) ).
tff(c_278531,plain,
! [B_3914,C_3915] :
( ~ subset(difference(B_3914,C_3915),B_3914)
| ~ subset(B_3914,difference(B_3914,C_3915))
| ( difference(B_3914,C_3915) = B_3914 ) ),
inference(resolution,[status(thm)],[c_278423,c_1443]) ).
tff(c_278666,plain,
! [B_3916,C_3917] :
( ~ subset(B_3916,difference(B_3916,C_3917))
| ( difference(B_3916,C_3917) = B_3916 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_374,c_278531]) ).
tff(c_279334,plain,
! [B_3918,B_3919] : ( difference(B_3918,difference(B_3919,B_3918)) = B_3918 ),
inference(resolution,[status(thm)],[c_206800,c_278666]) ).
tff(c_14118,plain,
! [B_693,C_694,C_695,C_696] :
( member('#skF_1'(difference(difference(B_693,C_694),C_695),C_696),B_693)
| subset(difference(difference(B_693,C_694),C_695),C_696) ),
inference(resolution,[status(thm)],[c_346,c_12]) ).
tff(c_20,plain,
! [C_13,B_12] : ( union(C_13,B_12) = union(B_12,C_13) ),
inference(cnfTransformation,[status(thm)],[f_54]) ).
tff(c_38,plain,
subset('#skF_4',union('#skF_5','#skF_6')),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_39,plain,
subset('#skF_4',union('#skF_6','#skF_5')),
inference(demodulation,[status(thm),theory(equality)],[c_20,c_38]) ).
tff(c_119,plain,
! [D_39,C_40,B_41] :
( member(D_39,C_40)
| ~ member(D_39,B_41)
| ~ subset(B_41,C_40) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_186,plain,
! [B_51,C_52,C_53] :
( member('#skF_1'(B_51,C_52),C_53)
| ~ subset(B_51,C_53)
| subset(B_51,C_52) ),
inference(resolution,[status(thm)],[c_18,c_119]) ).
tff(c_3267,plain,
! [B_281,C_282,C_283,C_284] :
( member('#skF_1'(B_281,C_282),C_283)
| ~ subset(C_284,C_283)
| ~ subset(B_281,C_284)
| subset(B_281,C_282) ),
inference(resolution,[status(thm)],[c_186,c_14]) ).
tff(c_3657,plain,
! [B_308,C_309] :
( member('#skF_1'(B_308,C_309),union('#skF_6','#skF_5'))
| ~ subset(B_308,'#skF_4')
| subset(B_308,C_309) ),
inference(resolution,[status(thm)],[c_39,c_3267]) ).
tff(c_106,plain,
! [D_33,C_34,B_35] :
( ~ member(D_33,C_34)
| ~ member(D_33,difference(B_35,C_34)) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_111,plain,
! [B_35,C_34,C_8] :
( ~ member('#skF_1'(difference(B_35,C_34),C_8),C_34)
| subset(difference(B_35,C_34),C_8) ),
inference(resolution,[status(thm)],[c_18,c_106]) ).
tff(c_4356,plain,
! [B_336,C_337] :
( ~ subset(difference(B_336,union('#skF_6','#skF_5')),'#skF_4')
| subset(difference(B_336,union('#skF_6','#skF_5')),C_337) ),
inference(resolution,[status(thm)],[c_3657,c_111]) ).
tff(c_4412,plain,
! [C_340] : subset(difference('#skF_4',union('#skF_6','#skF_5')),C_340),
inference(resolution,[status(thm)],[c_374,c_4356]) ).
tff(c_162,plain,
! [D_45,C_8,B_46,C_47] :
( member(D_45,C_8)
| ~ subset(difference(B_46,C_47),C_8)
| member(D_45,C_47)
| ~ member(D_45,B_46) ),
inference(resolution,[status(thm)],[c_149,c_14]) ).
tff(c_4458,plain,
! [D_45,C_340] :
( member(D_45,C_340)
| member(D_45,union('#skF_6','#skF_5'))
| ~ member(D_45,'#skF_4') ),
inference(resolution,[status(thm)],[c_4412,c_162]) ).
tff(c_4724,plain,
! [D_346] :
( ~ member(D_346,'#skF_4')
| member(D_346,union('#skF_6','#skF_5')) ),
inference(factorization,[status(thm),theory(equality)],[c_4458]) ).
tff(c_129,plain,
! [D_42,C_43,B_44] :
( member(D_42,C_43)
| member(D_42,B_44)
| ~ member(D_42,union(B_44,C_43)) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_142,plain,
! [D_42,C_13,B_12] :
( member(D_42,C_13)
| member(D_42,B_12)
| ~ member(D_42,union(C_13,B_12)) ),
inference(superposition,[status(thm),theory(equality)],[c_20,c_129]) ).
tff(c_4820,plain,
! [D_347] :
( member(D_347,'#skF_6')
| member(D_347,'#skF_5')
| ~ member(D_347,'#skF_4') ),
inference(resolution,[status(thm)],[c_4724,c_142]) ).
tff(c_8389,plain,
! [B_479] :
( subset(B_479,'#skF_5')
| member('#skF_1'(B_479,'#skF_5'),'#skF_6')
| ~ member('#skF_1'(B_479,'#skF_5'),'#skF_4') ),
inference(resolution,[status(thm)],[c_4820,c_16]) ).
tff(c_8417,plain,
! [B_35] :
( subset(difference(B_35,'#skF_6'),'#skF_5')
| ~ member('#skF_1'(difference(B_35,'#skF_6'),'#skF_5'),'#skF_4') ),
inference(resolution,[status(thm)],[c_8389,c_111]) ).
tff(c_14204,plain,
! [C_694] : subset(difference(difference('#skF_4',C_694),'#skF_6'),'#skF_5'),
inference(resolution,[status(thm)],[c_14118,c_8417]) ).
tff(c_128,plain,
! [B_7,C_8,C_40] :
( member('#skF_1'(B_7,C_8),C_40)
| ~ subset(B_7,C_40)
| subset(B_7,C_8) ),
inference(resolution,[status(thm)],[c_18,c_119]) ).
tff(c_16167,plain,
! [B_766,C_767,C_768,C_769] :
( ~ member('#skF_1'(difference(difference(B_766,C_767),C_768),C_769),C_767)
| subset(difference(difference(B_766,C_767),C_768),C_769) ),
inference(resolution,[status(thm)],[c_346,c_10]) ).
tff(c_135477,plain,
! [B_2850,C_2851,C_2852,C_2853] :
( ~ subset(difference(difference(B_2850,C_2851),C_2852),C_2851)
| subset(difference(difference(B_2850,C_2851),C_2852),C_2853) ),
inference(resolution,[status(thm)],[c_128,c_16167]) ).
tff(c_135930,plain,
! [C_2853] : subset(difference(difference('#skF_4','#skF_5'),'#skF_6'),C_2853),
inference(resolution,[status(thm)],[c_14204,c_135477]) ).
tff(c_117,plain,
! [B_37,C_38,C_8] :
( member('#skF_1'(difference(B_37,C_38),C_8),B_37)
| subset(difference(B_37,C_38),C_8) ),
inference(resolution,[status(thm)],[c_18,c_112]) ).
tff(c_376,plain,
! [B_75,C_76,C_77] :
( ~ member('#skF_1'(difference(B_75,C_76),C_77),C_76)
| subset(difference(B_75,C_76),C_77) ),
inference(resolution,[status(thm)],[c_18,c_106]) ).
tff(c_397,plain,
! [B_37,C_8] : subset(difference(B_37,B_37),C_8),
inference(resolution,[status(thm)],[c_117,c_376]) ).
tff(c_2884,plain,
! [B_259,B_260,C_261] :
( member('#skF_2'(B_259,difference(B_260,C_261)),B_260)
| member('#skF_3'(B_259,difference(B_260,C_261)),B_259)
| ( difference(B_260,C_261) = B_259 ) ),
inference(resolution,[status(thm)],[c_249,c_12]) ).
tff(c_294,plain,
! [B_64,B_4,C_5] :
( ~ member('#skF_2'(B_64,difference(B_4,C_5)),C_5)
| member('#skF_3'(B_64,difference(B_4,C_5)),B_64)
| ( difference(B_4,C_5) = B_64 ) ),
inference(resolution,[status(thm)],[c_249,c_10]) ).
tff(c_2975,plain,
! [B_262,B_263] :
( member('#skF_3'(B_262,difference(B_263,B_263)),B_262)
| ( difference(B_263,B_263) = B_262 ) ),
inference(resolution,[status(thm)],[c_2884,c_294]) ).
tff(c_150075,plain,
! [B_3029,B_3030,C_3031] :
( member('#skF_3'(B_3029,difference(B_3030,B_3030)),C_3031)
| ~ subset(B_3029,C_3031)
| ( difference(B_3030,B_3030) = B_3029 ) ),
inference(resolution,[status(thm)],[c_2975,c_14]) ).
tff(c_150163,plain,
! [B_3030,B_3029] :
( ~ subset(difference(B_3030,B_3030),B_3029)
| ~ subset(B_3029,difference(B_3030,B_3030))
| ( difference(B_3030,B_3030) = B_3029 ) ),
inference(resolution,[status(thm)],[c_150075,c_1443]) ).
tff(c_150250,plain,
! [B_3032,B_3033] :
( ~ subset(B_3032,difference(B_3033,B_3033))
| ( difference(B_3033,B_3033) = B_3032 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_397,c_150163]) ).
tff(c_217377,plain,
! [B_3407] : ( difference(difference('#skF_4','#skF_5'),'#skF_6') = difference(B_3407,B_3407) ),
inference(resolution,[status(thm)],[c_135930,c_150250]) ).
tff(c_8,plain,
! [D_6,B_4,C_5] :
( member(D_6,difference(B_4,C_5))
| member(D_6,C_5)
| ~ member(D_6,B_4) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_76612,plain,
! [B_2058,B_2059,C_2060,C_2061] :
( subset(difference(B_2058,difference(B_2059,C_2060)),C_2061)
| member('#skF_1'(difference(B_2058,difference(B_2059,C_2060)),C_2061),C_2060)
| ~ member('#skF_1'(difference(B_2058,difference(B_2059,C_2060)),C_2061),B_2059) ),
inference(resolution,[status(thm)],[c_8,c_376]) ).
tff(c_216421,plain,
! [B_3397,C_3398,C_3399] :
( member('#skF_1'(difference(B_3397,difference(B_3397,C_3398)),C_3399),C_3398)
| subset(difference(B_3397,difference(B_3397,C_3398)),C_3399) ),
inference(resolution,[status(thm)],[c_117,c_76612]) ).
tff(c_216653,plain,
! [B_3397,C_3398] : subset(difference(B_3397,difference(B_3397,C_3398)),C_3398),
inference(resolution,[status(thm)],[c_216421,c_16]) ).
tff(c_217389,plain,
! [B_3407] : subset(difference(difference('#skF_4','#skF_5'),difference(B_3407,B_3407)),'#skF_6'),
inference(superposition,[status(thm),theory(equality)],[c_217377,c_216653]) ).
tff(c_279350,plain,
subset(difference('#skF_4','#skF_5'),'#skF_6'),
inference(superposition,[status(thm),theory(equality)],[c_279334,c_217389]) ).
tff(c_281173,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118,c_279350]) ).
tff(c_281174,plain,
~ subset(difference('#skF_4','#skF_6'),'#skF_5'),
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_281175,plain,
subset(difference('#skF_4','#skF_5'),'#skF_6'),
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_281186,plain,
! [D_3923,B_3924,C_3925] :
( member(D_3923,difference(B_3924,C_3925))
| member(D_3923,C_3925)
| ~ member(D_3923,B_3924) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_281863,plain,
! [D_4002,C_4003,B_4004,C_4005] :
( member(D_4002,C_4003)
| ~ subset(difference(B_4004,C_4005),C_4003)
| member(D_4002,C_4005)
| ~ member(D_4002,B_4004) ),
inference(resolution,[status(thm)],[c_281186,c_14]) ).
tff(c_281932,plain,
! [D_4012] :
( member(D_4012,'#skF_6')
| member(D_4012,'#skF_5')
| ~ member(D_4012,'#skF_4') ),
inference(resolution,[status(thm)],[c_281175,c_281863]) ).
tff(c_282275,plain,
! [B_4028] :
( subset(B_4028,'#skF_5')
| member('#skF_1'(B_4028,'#skF_5'),'#skF_6')
| ~ member('#skF_1'(B_4028,'#skF_5'),'#skF_4') ),
inference(resolution,[status(thm)],[c_281932,c_16]) ).
tff(c_282284,plain,
! [B_4029] :
( subset(difference(B_4029,'#skF_6'),'#skF_5')
| ~ member('#skF_1'(difference(B_4029,'#skF_6'),'#skF_5'),'#skF_4') ),
inference(resolution,[status(thm)],[c_282275,c_111]) ).
tff(c_282288,plain,
subset(difference('#skF_4','#skF_6'),'#skF_5'),
inference(resolution,[status(thm)],[c_117,c_282284]) ).
tff(c_282295,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_281174,c_281174,c_282288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET593+3 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 16:31:37 EDT 2023
% 0.14/0.36 % CPUTime :
% 138.86/105.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 138.94/105.73
% 138.94/105.73 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 139.02/105.78
% 139.02/105.78 Inference rules
% 139.02/105.78 ----------------------
% 139.02/105.78 #Ref : 0
% 139.02/105.78 #Sup : 69970
% 139.02/105.78 #Fact : 198
% 139.02/105.78 #Define : 0
% 139.02/105.78 #Split : 25
% 139.02/105.78 #Chain : 0
% 139.02/105.78 #Close : 0
% 139.02/105.78
% 139.02/105.78 Ordering : KBO
% 139.02/105.78
% 139.02/105.78 Simplification rules
% 139.02/105.78 ----------------------
% 139.02/105.78 #Subsume : 11548
% 139.02/105.78 #Demod : 21720
% 139.02/105.78 #Tautology : 12882
% 139.02/105.78 #SimpNegUnit : 338
% 139.02/105.78 #BackRed : 214
% 139.02/105.78
% 139.02/105.78 #Partial instantiations: 0
% 139.02/105.78 #Strategies tried : 1
% 139.02/105.78
% 139.02/105.78 Timing (in seconds)
% 139.02/105.78 ----------------------
% 139.02/105.78 Preprocessing : 0.50
% 139.02/105.78 Parsing : 0.26
% 139.02/105.78 CNF conversion : 0.04
% 139.02/105.78 Main loop : 104.15
% 139.02/105.79 Inferencing : 6.70
% 139.02/105.79 Reduction : 40.98
% 139.02/105.79 Demodulation : 34.79
% 139.02/105.79 BG Simplification : 0.47
% 139.02/105.79 Subsumption : 46.59
% 139.02/105.79 Abstraction : 0.73
% 139.02/105.79 MUC search : 0.00
% 139.02/105.79 Cooper : 0.00
% 139.02/105.79 Total : 104.73
% 139.02/105.79 Index Insertion : 0.00
% 139.02/105.79 Index Deletion : 0.00
% 139.02/105.79 Index Matching : 0.00
% 139.02/105.79 BG Taut test : 0.00
%------------------------------------------------------------------------------