TSTP Solution File: SET650+3 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET650+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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:56:48 EDT 2023
% Result : Theorem 10.56s 3.52s
% Output : CNFRefutation 10.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 44
% Syntax : Number of formulae : 113 ( 21 unt; 32 typ; 0 def)
% Number of atoms : 219 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 238 ( 100 ~; 94 |; 8 &)
% ( 6 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 41 ( 26 >; 15 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 6 con; 0-2 aty)
% Number of variables : 134 (; 131 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > member > ilf_type > relation_like > empty > relation_type > ordered_pair > cross_product > #nlpp > subset_type > range_of > power_set > member_type > domain_of > set_type > binary_relation_type > #skF_11 > #skF_6 > #skF_17 > #skF_15 > #skF_8 > #skF_7 > #skF_3 > #skF_16 > #skF_12 > #skF_10 > #skF_13 > #skF_14 > #skF_2 > #skF_1 > #skF_9 > #skF_5 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(relation_type,type,
relation_type: ( $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(power_set,type,
power_set: $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(ordered_pair,type,
ordered_pair: ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(cross_product,type,
cross_product: ( $i * $i ) > $i ).
tff(set_type,type,
set_type: $i ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff(member,type,
member: ( $i * $i ) > $o ).
tff(empty,type,
empty: $i > $o ).
tff(ilf_type,type,
ilf_type: ( $i * $i ) > $o ).
tff(member_type,type,
member_type: $i > $i ).
tff(range_of,type,
range_of: $i > $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff(domain_of,type,
domain_of: $i > $i ).
tff('#skF_14',type,
'#skF_14': $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_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(f_307,negated_conjecture,
~ ! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ( subset(domain_of(D),B)
& subset(range_of(D),C) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_12) ).
tff(f_293,axiom,
! [B] : ilf_type(B,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26) ).
tff(f_149,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( subset(B,C)
<=> ! [D] :
( ilf_type(D,set_type)
=> ( member(D,B)
=> member(D,C) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10) ).
tff(f_125,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',p8) ).
tff(f_272,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',p23) ).
tff(f_174,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',p13) ).
tff(f_243,axiom,
! [B] :
( ( ~ empty(B)
& ilf_type(B,set_type) )
=> ? [C] : ilf_type(C,member_type(B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).
tff(f_234,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',p20) ).
tff(f_39,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,binary_relation_type)
=> ( member(B,domain_of(C))
<=> ? [D] :
( ilf_type(D,set_type)
& member(ordered_pair(B,D),C) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
tff(f_283,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',p24) ).
tff(f_73,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',p3) ).
tff(f_52,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,binary_relation_type)
=> ( member(B,range_of(C))
<=> ? [D] :
( ilf_type(D,set_type)
& member(ordered_pair(D,B),C) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
tff(c_110,plain,
( ~ subset(range_of('#skF_17'),'#skF_16')
| ~ subset(domain_of('#skF_17'),'#skF_15') ),
inference(cnfTransformation,[status(thm)],[f_307]) ).
tff(c_229,plain,
~ subset(domain_of('#skF_17'),'#skF_15'),
inference(splitLeft,[status(thm)],[c_110]) ).
tff(c_108,plain,
! [B_168] : ilf_type(B_168,set_type),
inference(cnfTransformation,[status(thm)],[f_293]) ).
tff(c_44,plain,
! [B_91,C_97] :
( member('#skF_6'(B_91,C_97),B_91)
| subset(B_91,C_97)
| ~ ilf_type(C_97,set_type)
| ~ ilf_type(B_91,set_type) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_178,plain,
! [B_91,C_97] :
( member('#skF_6'(B_91,C_97),B_91)
| subset(B_91,C_97) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_108,c_44]) ).
tff(c_112,plain,
ilf_type('#skF_17',relation_type('#skF_15','#skF_16')),
inference(cnfTransformation,[status(thm)],[f_307]) ).
tff(c_34,plain,
! [E_84,B_74,C_80] :
( ilf_type(E_84,subset_type(cross_product(B_74,C_80)))
| ~ ilf_type(E_84,relation_type(B_74,C_80))
| ~ ilf_type(C_80,set_type)
| ~ ilf_type(B_74,set_type) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_520,plain,
! [E_250,B_251,C_252] :
( ilf_type(E_250,subset_type(cross_product(B_251,C_252)))
| ~ ilf_type(E_250,relation_type(B_251,C_252)) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_108,c_34]) ).
tff(c_98,plain,
! [D_162,B_156,C_160] :
( relation_like(D_162)
| ~ ilf_type(D_162,subset_type(cross_product(B_156,C_160)))
| ~ ilf_type(C_160,set_type)
| ~ ilf_type(B_156,set_type) ),
inference(cnfTransformation,[status(thm)],[f_272]) ).
tff(c_128,plain,
! [D_162,B_156,C_160] :
( relation_like(D_162)
| ~ ilf_type(D_162,subset_type(cross_product(B_156,C_160))) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_108,c_98]) ).
tff(c_529,plain,
! [E_253,B_254,C_255] :
( relation_like(E_253)
| ~ ilf_type(E_253,relation_type(B_254,C_255)) ),
inference(resolution,[status(thm)],[c_520,c_128]) ).
tff(c_551,plain,
relation_like('#skF_17'),
inference(resolution,[status(thm)],[c_112,c_529]) ).
tff(c_52,plain,
! [B_107] :
( ilf_type(B_107,binary_relation_type)
| ~ relation_like(B_107)
| ~ ilf_type(B_107,set_type) ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_170,plain,
! [B_107] :
( ilf_type(B_107,binary_relation_type)
| ~ relation_like(B_107) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_52]) ).
tff(c_84,plain,
! [B_128] :
( ilf_type('#skF_10'(B_128),member_type(B_128))
| ~ ilf_type(B_128,set_type)
| empty(B_128) ),
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_142,plain,
! [B_128] :
( ilf_type('#skF_10'(B_128),member_type(B_128))
| empty(B_128) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_84]) ).
tff(c_82,plain,
! [B_125,C_127] :
( member(B_125,C_127)
| ~ ilf_type(B_125,member_type(C_127))
| ~ ilf_type(C_127,set_type)
| empty(C_127)
| ~ ilf_type(B_125,set_type) ),
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_299,plain,
! [B_212,C_213] :
( member(B_212,C_213)
| ~ ilf_type(B_212,member_type(C_213))
| empty(C_213) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_108,c_82]) ).
tff(c_313,plain,
! [B_128] :
( member('#skF_10'(B_128),B_128)
| empty(B_128) ),
inference(resolution,[status(thm)],[c_142,c_299]) ).
tff(c_4,plain,
! [B_1,C_7] :
( member(ordered_pair(B_1,'#skF_1'(B_1,C_7)),C_7)
| ~ member(B_1,domain_of(C_7))
| ~ ilf_type(C_7,binary_relation_type)
| ~ ilf_type(B_1,set_type) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_1035,plain,
! [B_321,C_322] :
( member(ordered_pair(B_321,'#skF_1'(B_321,C_322)),C_322)
| ~ member(B_321,domain_of(C_322))
| ~ ilf_type(C_322,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_4]) ).
tff(c_100,plain,
! [C_166,B_163] :
( ~ member(C_166,B_163)
| ~ ilf_type(C_166,set_type)
| ~ empty(B_163)
| ~ ilf_type(B_163,set_type) ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_126,plain,
! [C_166,B_163] :
( ~ member(C_166,B_163)
| ~ empty(B_163) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_108,c_100]) ).
tff(c_1183,plain,
! [C_329,B_330] :
( ~ empty(C_329)
| ~ member(B_330,domain_of(C_329))
| ~ ilf_type(C_329,binary_relation_type) ),
inference(resolution,[status(thm)],[c_1035,c_126]) ).
tff(c_1249,plain,
! [C_331] :
( ~ empty(C_331)
| ~ ilf_type(C_331,binary_relation_type)
| empty(domain_of(C_331)) ),
inference(resolution,[status(thm)],[c_313,c_1183]) ).
tff(c_257,plain,
! [B_197,C_198] :
( member('#skF_6'(B_197,C_198),B_197)
| subset(B_197,C_198) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_108,c_44]) ).
tff(c_268,plain,
! [B_199,C_200] :
( ~ empty(B_199)
| subset(B_199,C_200) ),
inference(resolution,[status(thm)],[c_257,c_126]) ).
tff(c_272,plain,
~ empty(domain_of('#skF_17')),
inference(resolution,[status(thm)],[c_268,c_229]) ).
tff(c_1253,plain,
( ~ empty('#skF_17')
| ~ ilf_type('#skF_17',binary_relation_type) ),
inference(resolution,[status(thm)],[c_1249,c_272]) ).
tff(c_1254,plain,
~ ilf_type('#skF_17',binary_relation_type),
inference(splitLeft,[status(thm)],[c_1253]) ).
tff(c_1257,plain,
~ relation_like('#skF_17'),
inference(resolution,[status(thm)],[c_170,c_1254]) ).
tff(c_1261,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_551,c_1257]) ).
tff(c_1263,plain,
ilf_type('#skF_17',binary_relation_type),
inference(splitRight,[status(thm)],[c_1253]) ).
tff(c_16,plain,
! [D_45,C_37,B_21,E_49,F_51] :
( member(D_45,B_21)
| ~ member(ordered_pair(D_45,E_49),F_51)
| ~ ilf_type(F_51,relation_type(B_21,C_37))
| ~ ilf_type(E_49,set_type)
| ~ ilf_type(D_45,set_type)
| ~ ilf_type(C_37,set_type)
| ~ ilf_type(B_21,set_type) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_204,plain,
! [D_45,C_37,B_21,E_49,F_51] :
( member(D_45,B_21)
| ~ member(ordered_pair(D_45,E_49),F_51)
| ~ ilf_type(F_51,relation_type(B_21,C_37)) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_108,c_108,c_108,c_16]) ).
tff(c_3522,plain,
! [B_498,B_499,C_500,C_501] :
( member(B_498,B_499)
| ~ ilf_type(C_500,relation_type(B_499,C_501))
| ~ member(B_498,domain_of(C_500))
| ~ ilf_type(C_500,binary_relation_type) ),
inference(resolution,[status(thm)],[c_1035,c_204]) ).
tff(c_3546,plain,
! [B_498] :
( member(B_498,'#skF_15')
| ~ member(B_498,domain_of('#skF_17'))
| ~ ilf_type('#skF_17',binary_relation_type) ),
inference(resolution,[status(thm)],[c_112,c_3522]) ).
tff(c_3573,plain,
! [B_502] :
( member(B_502,'#skF_15')
| ~ member(B_502,domain_of('#skF_17')) ),
inference(demodulation,[status(thm),theory(equality)],[c_1263,c_3546]) ).
tff(c_5904,plain,
! [C_569] :
( member('#skF_6'(domain_of('#skF_17'),C_569),'#skF_15')
| subset(domain_of('#skF_17'),C_569) ),
inference(resolution,[status(thm)],[c_178,c_3573]) ).
tff(c_42,plain,
! [B_91,C_97] :
( ~ member('#skF_6'(B_91,C_97),C_97)
| subset(B_91,C_97)
| ~ ilf_type(C_97,set_type)
| ~ ilf_type(B_91,set_type) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_180,plain,
! [B_91,C_97] :
( ~ member('#skF_6'(B_91,C_97),C_97)
| subset(B_91,C_97) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_108,c_42]) ).
tff(c_5912,plain,
subset(domain_of('#skF_17'),'#skF_15'),
inference(resolution,[status(thm)],[c_5904,c_180]) ).
tff(c_5921,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_229,c_229,c_5912]) ).
tff(c_5922,plain,
~ subset(range_of('#skF_17'),'#skF_16'),
inference(splitRight,[status(thm)],[c_110]) ).
tff(c_6202,plain,
! [E_633,B_634,C_635] :
( ilf_type(E_633,subset_type(cross_product(B_634,C_635)))
| ~ ilf_type(E_633,relation_type(B_634,C_635)) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_108,c_34]) ).
tff(c_6207,plain,
! [E_636,B_637,C_638] :
( relation_like(E_636)
| ~ ilf_type(E_636,relation_type(B_637,C_638)) ),
inference(resolution,[status(thm)],[c_6202,c_128]) ).
tff(c_6215,plain,
relation_like('#skF_17'),
inference(resolution,[status(thm)],[c_112,c_6207]) ).
tff(c_6031,plain,
! [B_611,C_612] :
( member(B_611,C_612)
| ~ ilf_type(B_611,member_type(C_612))
| empty(C_612) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_108,c_82]) ).
tff(c_6045,plain,
! [B_128] :
( member('#skF_10'(B_128),B_128)
| empty(B_128) ),
inference(resolution,[status(thm)],[c_142,c_6031]) ).
tff(c_10,plain,
! [B_11,C_17] :
( member(ordered_pair('#skF_2'(B_11,C_17),B_11),C_17)
| ~ member(B_11,range_of(C_17))
| ~ ilf_type(C_17,binary_relation_type)
| ~ ilf_type(B_11,set_type) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_6578,plain,
! [B_701,C_702] :
( member(ordered_pair('#skF_2'(B_701,C_702),B_701),C_702)
| ~ member(B_701,range_of(C_702))
| ~ ilf_type(C_702,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_10]) ).
tff(c_6613,plain,
! [C_703,B_704] :
( ~ empty(C_703)
| ~ member(B_704,range_of(C_703))
| ~ ilf_type(C_703,binary_relation_type) ),
inference(resolution,[status(thm)],[c_6578,c_126]) ).
tff(c_6664,plain,
! [C_705] :
( ~ empty(C_705)
| ~ ilf_type(C_705,binary_relation_type)
| empty(range_of(C_705)) ),
inference(resolution,[status(thm)],[c_6045,c_6613]) ).
tff(c_5943,plain,
! [B_581,C_582] :
( member('#skF_6'(B_581,C_582),B_581)
| subset(B_581,C_582) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_108,c_44]) ).
tff(c_5948,plain,
! [B_583,C_584] :
( ~ empty(B_583)
| subset(B_583,C_584) ),
inference(resolution,[status(thm)],[c_5943,c_126]) ).
tff(c_5952,plain,
~ empty(range_of('#skF_17')),
inference(resolution,[status(thm)],[c_5948,c_5922]) ).
tff(c_6668,plain,
( ~ empty('#skF_17')
| ~ ilf_type('#skF_17',binary_relation_type) ),
inference(resolution,[status(thm)],[c_6664,c_5952]) ).
tff(c_6669,plain,
~ ilf_type('#skF_17',binary_relation_type),
inference(splitLeft,[status(thm)],[c_6668]) ).
tff(c_6672,plain,
~ relation_like('#skF_17'),
inference(resolution,[status(thm)],[c_170,c_6669]) ).
tff(c_6676,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6215,c_6672]) ).
tff(c_6678,plain,
ilf_type('#skF_17',binary_relation_type),
inference(splitRight,[status(thm)],[c_6668]) ).
tff(c_14,plain,
! [D_45,C_37,B_21,E_49,F_51] :
( member(E_49,C_37)
| ~ member(ordered_pair(D_45,E_49),F_51)
| ~ ilf_type(F_51,relation_type(B_21,C_37))
| ~ ilf_type(E_49,set_type)
| ~ ilf_type(D_45,set_type)
| ~ ilf_type(C_37,set_type)
| ~ ilf_type(B_21,set_type) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_206,plain,
! [D_45,C_37,B_21,E_49,F_51] :
( member(E_49,C_37)
| ~ member(ordered_pair(D_45,E_49),F_51)
| ~ ilf_type(F_51,relation_type(B_21,C_37)) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_108,c_108,c_108,c_14]) ).
tff(c_9415,plain,
! [B_881,C_882,C_883,B_884] :
( member(B_881,C_882)
| ~ ilf_type(C_883,relation_type(B_884,C_882))
| ~ member(B_881,range_of(C_883))
| ~ ilf_type(C_883,binary_relation_type) ),
inference(resolution,[status(thm)],[c_6578,c_206]) ).
tff(c_9439,plain,
! [B_881] :
( member(B_881,'#skF_16')
| ~ member(B_881,range_of('#skF_17'))
| ~ ilf_type('#skF_17',binary_relation_type) ),
inference(resolution,[status(thm)],[c_112,c_9415]) ).
tff(c_9454,plain,
! [B_885] :
( member(B_885,'#skF_16')
| ~ member(B_885,range_of('#skF_17')) ),
inference(demodulation,[status(thm),theory(equality)],[c_6678,c_9439]) ).
tff(c_10948,plain,
! [C_947] :
( member('#skF_6'(range_of('#skF_17'),C_947),'#skF_16')
| subset(range_of('#skF_17'),C_947) ),
inference(resolution,[status(thm)],[c_178,c_9454]) ).
tff(c_10956,plain,
subset(range_of('#skF_17'),'#skF_16'),
inference(resolution,[status(thm)],[c_10948,c_180]) ).
tff(c_10965,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5922,c_5922,c_10956]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET650+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : n019.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 17:04:01 EDT 2023
% 0.15/0.35 % CPUTime :
% 10.56/3.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.56/3.53
% 10.56/3.53 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.56/3.57
% 10.56/3.57 Inference rules
% 10.56/3.57 ----------------------
% 10.56/3.57 #Ref : 2
% 10.56/3.57 #Sup : 2382
% 10.56/3.57 #Fact : 0
% 10.56/3.57 #Define : 0
% 10.56/3.57 #Split : 15
% 10.56/3.57 #Chain : 0
% 10.56/3.57 #Close : 0
% 10.56/3.57
% 10.56/3.57 Ordering : KBO
% 10.56/3.57
% 10.56/3.57 Simplification rules
% 10.56/3.57 ----------------------
% 10.56/3.57 #Subsume : 731
% 10.56/3.57 #Demod : 208
% 10.56/3.57 #Tautology : 156
% 10.56/3.57 #SimpNegUnit : 67
% 10.56/3.57 #BackRed : 6
% 10.56/3.57
% 10.56/3.57 #Partial instantiations: 0
% 10.56/3.57 #Strategies tried : 1
% 10.56/3.57
% 10.56/3.57 Timing (in seconds)
% 10.56/3.57 ----------------------
% 10.56/3.58 Preprocessing : 0.61
% 10.56/3.58 Parsing : 0.33
% 10.56/3.58 CNF conversion : 0.06
% 10.56/3.58 Main loop : 1.86
% 10.56/3.58 Inferencing : 0.70
% 10.56/3.58 Reduction : 0.50
% 10.56/3.58 Demodulation : 0.34
% 10.56/3.58 BG Simplification : 0.06
% 10.56/3.58 Subsumption : 0.46
% 10.56/3.58 Abstraction : 0.05
% 10.56/3.58 MUC search : 0.00
% 10.56/3.58 Cooper : 0.00
% 10.56/3.58 Total : 2.53
% 10.56/3.58 Index Insertion : 0.00
% 10.56/3.58 Index Deletion : 0.00
% 10.56/3.58 Index Matching : 0.00
% 10.56/3.58 BG Taut test : 0.00
%------------------------------------------------------------------------------