TSTP Solution File: SET660+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET660+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 : n012.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 10:56:49 EDT 2023
% Result : Theorem 8.68s 3.06s
% Output : CNFRefutation 8.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 52
% Syntax : Number of formulae : 124 ( 25 unt; 37 typ; 0 def)
% Number of atoms : 233 ( 20 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 244 ( 98 ~; 90 |; 8 &)
% ( 8 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 49 ( 30 >; 19 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 7 con; 0-3 aty)
% Number of variables : 136 (; 134 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subset > member > ilf_type > relation_like > empty > range > domain > unordered_pair > relation_type > ordered_pair > cross_product > #nlpp > subset_type > singleton > range_of > power_set > member_type > domain_of > set_type > binary_relation_type > #skF_9 > #skF_5 > #skF_11 > #skF_6 > #skF_18 > #skF_15 > #skF_3 > #skF_16 > #skF_14 > #skF_10 > #skF_8 > #skF_13 > #skF_4 > #skF_17 > #skF_2 > #skF_12 > #skF_7 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_9',type,
'#skF_9': $i > $i ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
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_18',type,
'#skF_18': $i ).
tff(singleton,type,
singleton: $i > $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(unordered_pair,type,
unordered_pair: ( $i * $i ) > $i ).
tff(ordered_pair,type,
ordered_pair: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $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(subset,type,
subset: ( $i * $i ) > $o ).
tff(member,type,
member: ( $i * $i ) > $o ).
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(range,type,
range: ( $i * $i * $i ) > $i ).
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,type,
domain: ( $i * $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff(domain_of,type,
domain_of: $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_12',type,
'#skF_12': $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_396,negated_conjecture,
~ ! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ( ! [E] :
( ilf_type(E,set_type)
=> ( member(E,C)
=> ? [F] :
( ilf_type(F,set_type)
& member(ordered_pair(F,E),D) ) ) )
<=> ( range(B,C,D) = C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_23) ).
tff(f_374,axiom,
! [B] : ilf_type(B,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34) ).
tff(f_117,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/sandbox2/benchmark/theBenchmark.p',p7) ).
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/sandbox2/benchmark/theBenchmark.p',p27) ).
tff(f_181,axiom,
! [B] :
( ilf_type(B,set_type)
=> ( ilf_type(B,binary_relation_type)
<=> ( relation_like(B)
& ilf_type(B,set_type) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).
tff(f_360,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ( range(B,C,D) = range_of(D) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32) ).
tff(f_230,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/sandbox2/benchmark/theBenchmark.p',p20) ).
tff(f_59,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,binary_relation_type)
=> ( member(ordered_pair(B,C),D)
=> ( member(B,domain_of(D))
& member(C,range_of(D)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
tff(f_138,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( ( B = C )
<=> ( subset(B,C)
& subset(C,B) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9) ).
tff(f_371,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ilf_type(range(B,C,D),subset_type(C)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33) ).
tff(f_258,axiom,
! [B] :
( ilf_type(B,set_type)
=> ( ~ empty(power_set(B))
& ilf_type(power_set(B),set_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23) ).
tff(f_194,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( ilf_type(C,subset_type(B))
<=> ilf_type(C,member_type(power_set(B))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17) ).
tff(f_271,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/sandbox2/benchmark/theBenchmark.p',p24) ).
tff(f_250,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/sandbox2/benchmark/theBenchmark.p',p22) ).
tff(f_39,axiom,
! [B] :
( ilf_type(B,binary_relation_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ( member(C,range_of(B))
<=> ? [D] :
( ilf_type(D,set_type)
& member(ordered_pair(D,C),B) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
tff(c_140,plain,
ilf_type('#skF_16',relation_type('#skF_14','#skF_15')),
inference(cnfTransformation,[status(thm)],[f_396]) ).
tff(c_138,plain,
! [B_199] : ilf_type(B_199,set_type),
inference(cnfTransformation,[status(thm)],[f_374]) ).
tff(c_30,plain,
! [E_69,B_59,C_65] :
( ilf_type(E_69,subset_type(cross_product(B_59,C_65)))
| ~ ilf_type(E_69,relation_type(B_59,C_65))
| ~ ilf_type(C_65,set_type)
| ~ ilf_type(B_59,set_type) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_4551,plain,
! [E_693,B_694,C_695] :
( ilf_type(E_693,subset_type(cross_product(B_694,C_695)))
| ~ ilf_type(E_693,relation_type(B_694,C_695)) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_138,c_30]) ).
tff(c_120,plain,
! [D_165,B_159,C_163] :
( relation_like(D_165)
| ~ ilf_type(D_165,subset_type(cross_product(B_159,C_163)))
| ~ ilf_type(C_163,set_type)
| ~ ilf_type(B_159,set_type) ),
inference(cnfTransformation,[status(thm)],[f_309]) ).
tff(c_207,plain,
! [D_165,B_159,C_163] :
( relation_like(D_165)
| ~ ilf_type(D_165,subset_type(cross_product(B_159,C_163))) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_138,c_120]) ).
tff(c_4570,plain,
! [E_696,B_697,C_698] :
( relation_like(E_696)
| ~ ilf_type(E_696,relation_type(B_697,C_698)) ),
inference(resolution,[status(thm)],[c_4551,c_207]) ).
tff(c_4592,plain,
relation_like('#skF_16'),
inference(resolution,[status(thm)],[c_140,c_4570]) ).
tff(c_52,plain,
! [B_90] :
( ilf_type(B_90,binary_relation_type)
| ~ relation_like(B_90)
| ~ ilf_type(B_90,set_type) ),
inference(cnfTransformation,[status(thm)],[f_181]) ).
tff(c_263,plain,
! [B_90] :
( ilf_type(B_90,binary_relation_type)
| ~ relation_like(B_90) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_52]) ).
tff(c_134,plain,
! [B_185,C_189,D_191] :
( ( range(B_185,C_189,D_191) = range_of(D_191) )
| ~ ilf_type(D_191,relation_type(B_185,C_189))
| ~ ilf_type(C_189,set_type)
| ~ ilf_type(B_185,set_type) ),
inference(cnfTransformation,[status(thm)],[f_360]) ).
tff(c_990,plain,
! [B_370,C_371,D_372] :
( ( range(B_370,C_371,D_372) = range_of(D_372) )
| ~ ilf_type(D_372,relation_type(B_370,C_371)) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_138,c_134]) ).
tff(c_1010,plain,
range('#skF_14','#skF_15','#skF_16') = range_of('#skF_16'),
inference(resolution,[status(thm)],[c_140,c_990]) ).
tff(c_152,plain,
( ( range('#skF_14','#skF_15','#skF_16') != '#skF_15' )
| member('#skF_18','#skF_15') ),
inference(cnfTransformation,[status(thm)],[f_396]) ).
tff(c_315,plain,
range('#skF_14','#skF_15','#skF_16') != '#skF_15',
inference(splitLeft,[status(thm)],[c_152]) ).
tff(c_1011,plain,
range_of('#skF_16') != '#skF_15',
inference(demodulation,[status(thm),theory(equality)],[c_1010,c_315]) ).
tff(c_84,plain,
! [B_106,C_112] :
( member('#skF_7'(B_106,C_112),B_106)
| subset(B_106,C_112)
| ~ ilf_type(C_112,set_type)
| ~ ilf_type(B_106,set_type) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_243,plain,
! [B_106,C_112] :
( member('#skF_7'(B_106,C_112),B_106)
| subset(B_106,C_112) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_138,c_84]) ).
tff(c_871,plain,
! [E_358,B_359,C_360] :
( ilf_type(E_358,subset_type(cross_product(B_359,C_360)))
| ~ ilf_type(E_358,relation_type(B_359,C_360)) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_138,c_30]) ).
tff(c_890,plain,
! [E_361,B_362,C_363] :
( relation_like(E_361)
| ~ ilf_type(E_361,relation_type(B_362,C_363)) ),
inference(resolution,[status(thm)],[c_871,c_207]) ).
tff(c_912,plain,
relation_like('#skF_16'),
inference(resolution,[status(thm)],[c_140,c_890]) ).
tff(c_166,plain,
! [E_246] :
( member(ordered_pair('#skF_17'(E_246),E_246),'#skF_16')
| ~ member(E_246,'#skF_15')
| ~ ilf_type(E_246,set_type)
| ( range('#skF_14','#skF_15','#skF_16') = '#skF_15' ) ),
inference(cnfTransformation,[status(thm)],[f_396]) ).
tff(c_177,plain,
! [E_246] :
( member(ordered_pair('#skF_17'(E_246),E_246),'#skF_16')
| ~ member(E_246,'#skF_15')
| ( range('#skF_14','#skF_15','#skF_16') = '#skF_15' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_166]) ).
tff(c_504,plain,
! [E_246] :
( member(ordered_pair('#skF_17'(E_246),E_246),'#skF_16')
| ~ member(E_246,'#skF_15') ),
inference(negUnitSimplification,[status(thm)],[c_315,c_177]) ).
tff(c_10,plain,
! [C_16,D_18,B_12] :
( member(C_16,range_of(D_18))
| ~ member(ordered_pair(B_12,C_16),D_18)
| ~ ilf_type(D_18,binary_relation_type)
| ~ ilf_type(C_16,set_type)
| ~ ilf_type(B_12,set_type) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_1389,plain,
! [C_421,D_422,B_423] :
( member(C_421,range_of(D_422))
| ~ member(ordered_pair(B_423,C_421),D_422)
| ~ ilf_type(D_422,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_138,c_10]) ).
tff(c_1414,plain,
! [E_246] :
( member(E_246,range_of('#skF_16'))
| ~ ilf_type('#skF_16',binary_relation_type)
| ~ member(E_246,'#skF_15') ),
inference(resolution,[status(thm)],[c_504,c_1389]) ).
tff(c_1469,plain,
~ ilf_type('#skF_16',binary_relation_type),
inference(splitLeft,[status(thm)],[c_1414]) ).
tff(c_1472,plain,
~ relation_like('#skF_16'),
inference(resolution,[status(thm)],[c_263,c_1469]) ).
tff(c_1476,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_912,c_1472]) ).
tff(c_1484,plain,
! [E_430] :
( member(E_430,range_of('#skF_16'))
| ~ member(E_430,'#skF_15') ),
inference(splitRight,[status(thm)],[c_1414]) ).
tff(c_82,plain,
! [B_106,C_112] :
( ~ member('#skF_7'(B_106,C_112),C_112)
| subset(B_106,C_112)
| ~ ilf_type(C_112,set_type)
| ~ ilf_type(B_106,set_type) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_245,plain,
! [B_106,C_112] :
( ~ member('#skF_7'(B_106,C_112),C_112)
| subset(B_106,C_112) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_138,c_82]) ).
tff(c_2263,plain,
! [B_497] :
( subset(B_497,range_of('#skF_16'))
| ~ member('#skF_7'(B_497,range_of('#skF_16')),'#skF_15') ),
inference(resolution,[status(thm)],[c_1484,c_245]) ).
tff(c_2268,plain,
subset('#skF_15',range_of('#skF_16')),
inference(resolution,[status(thm)],[c_243,c_2263]) ).
tff(c_36,plain,
! [C_78,B_76] :
( ( C_78 = B_76 )
| ~ subset(C_78,B_76)
| ~ subset(B_76,C_78)
| ~ ilf_type(C_78,set_type)
| ~ ilf_type(B_76,set_type) ),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_278,plain,
! [C_78,B_76] :
( ( C_78 = B_76 )
| ~ subset(C_78,B_76)
| ~ subset(B_76,C_78) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_138,c_36]) ).
tff(c_2295,plain,
( ( range_of('#skF_16') = '#skF_15' )
| ~ subset(range_of('#skF_16'),'#skF_15') ),
inference(resolution,[status(thm)],[c_2268,c_278]) ).
tff(c_2305,plain,
~ subset(range_of('#skF_16'),'#skF_15'),
inference(negUnitSimplification,[status(thm)],[c_1011,c_2295]) ).
tff(c_136,plain,
! [B_192,C_196,D_198] :
( ilf_type(range(B_192,C_196,D_198),subset_type(C_196))
| ~ ilf_type(D_198,relation_type(B_192,C_196))
| ~ ilf_type(C_196,set_type)
| ~ ilf_type(B_192,set_type) ),
inference(cnfTransformation,[status(thm)],[f_371]) ).
tff(c_2354,plain,
! [B_502,C_503,D_504] :
( ilf_type(range(B_502,C_503,D_504),subset_type(C_503))
| ~ ilf_type(D_504,relation_type(B_502,C_503)) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_138,c_136]) ).
tff(c_2374,plain,
( ilf_type(range_of('#skF_16'),subset_type('#skF_15'))
| ~ ilf_type('#skF_16',relation_type('#skF_14','#skF_15')) ),
inference(superposition,[status(thm),theory(equality)],[c_1010,c_2354]) ).
tff(c_2382,plain,
ilf_type(range_of('#skF_16'),subset_type('#skF_15')),
inference(demodulation,[status(thm),theory(equality)],[c_140,c_2374]) ).
tff(c_100,plain,
! [B_127] :
( ~ empty(power_set(B_127))
| ~ ilf_type(B_127,set_type) ),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_227,plain,
! [B_127] : ~ empty(power_set(B_127)),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_100]) ).
tff(c_62,plain,
! [C_93,B_91] :
( ilf_type(C_93,member_type(power_set(B_91)))
| ~ ilf_type(C_93,subset_type(B_91))
| ~ ilf_type(C_93,set_type)
| ~ ilf_type(B_91,set_type) ),
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_257,plain,
! [C_93,B_91] :
( ilf_type(C_93,member_type(power_set(B_91)))
| ~ ilf_type(C_93,subset_type(B_91)) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_138,c_62]) ).
tff(c_104,plain,
! [B_128,C_130] :
( member(B_128,C_130)
| ~ ilf_type(B_128,member_type(C_130))
| ~ ilf_type(C_130,set_type)
| empty(C_130)
| ~ ilf_type(B_128,set_type) ),
inference(cnfTransformation,[status(thm)],[f_271]) ).
tff(c_544,plain,
! [B_307,C_308] :
( member(B_307,C_308)
| ~ ilf_type(B_307,member_type(C_308))
| empty(C_308) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_138,c_104]) ).
tff(c_547,plain,
! [C_93,B_91] :
( member(C_93,power_set(B_91))
| empty(power_set(B_91))
| ~ ilf_type(C_93,subset_type(B_91)) ),
inference(resolution,[status(thm)],[c_257,c_544]) ).
tff(c_553,plain,
! [C_93,B_91] :
( member(C_93,power_set(B_91))
| ~ ilf_type(C_93,subset_type(B_91)) ),
inference(negUnitSimplification,[status(thm)],[c_227,c_547]) ).
tff(c_90,plain,
! [D_126,C_123,B_117] :
( member(D_126,C_123)
| ~ member(D_126,B_117)
| ~ ilf_type(D_126,set_type)
| ~ member(B_117,power_set(C_123))
| ~ ilf_type(C_123,set_type)
| ~ ilf_type(B_117,set_type) ),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_649,plain,
! [D_323,C_324,B_325] :
( member(D_323,C_324)
| ~ member(D_323,B_325)
| ~ member(B_325,power_set(C_324)) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_138,c_138,c_90]) ).
tff(c_3481,plain,
! [B_578,C_579,C_580] :
( member('#skF_7'(B_578,C_579),C_580)
| ~ member(B_578,power_set(C_580))
| subset(B_578,C_579) ),
inference(resolution,[status(thm)],[c_243,c_649]) ).
tff(c_3527,plain,
! [B_581,C_582] :
( ~ member(B_581,power_set(C_582))
| subset(B_581,C_582) ),
inference(resolution,[status(thm)],[c_3481,c_245]) ).
tff(c_3975,plain,
! [C_598,B_599] :
( subset(C_598,B_599)
| ~ ilf_type(C_598,subset_type(B_599)) ),
inference(resolution,[status(thm)],[c_553,c_3527]) ).
tff(c_3987,plain,
subset(range_of('#skF_16'),'#skF_15'),
inference(resolution,[status(thm)],[c_2382,c_3975]) ).
tff(c_4031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2305,c_3987]) ).
tff(c_4032,plain,
member('#skF_18','#skF_15'),
inference(splitRight,[status(thm)],[c_152]) ).
tff(c_4033,plain,
range('#skF_14','#skF_15','#skF_16') = '#skF_15',
inference(splitRight,[status(thm)],[c_152]) ).
tff(c_4658,plain,
! [B_710,C_711,D_712] :
( ( range(B_710,C_711,D_712) = range_of(D_712) )
| ~ ilf_type(D_712,relation_type(B_710,C_711)) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_138,c_134]) ).
tff(c_4673,plain,
range('#skF_14','#skF_15','#skF_16') = range_of('#skF_16'),
inference(resolution,[status(thm)],[c_140,c_4658]) ).
tff(c_4679,plain,
range_of('#skF_16') = '#skF_15',
inference(demodulation,[status(thm),theory(equality)],[c_4033,c_4673]) ).
tff(c_4,plain,
! [B_1,C_7] :
( member(ordered_pair('#skF_1'(B_1,C_7),C_7),B_1)
| ~ member(C_7,range_of(B_1))
| ~ ilf_type(C_7,set_type)
| ~ ilf_type(B_1,binary_relation_type) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_6133,plain,
! [B_895,C_896] :
( member(ordered_pair('#skF_1'(B_895,C_896),C_896),B_895)
| ~ member(C_896,range_of(B_895))
| ~ ilf_type(B_895,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_4]) ).
tff(c_146,plain,
! [F_249] :
( ( range('#skF_14','#skF_15','#skF_16') != '#skF_15' )
| ~ member(ordered_pair(F_249,'#skF_18'),'#skF_16')
| ~ ilf_type(F_249,set_type) ),
inference(cnfTransformation,[status(thm)],[f_396]) ).
tff(c_174,plain,
! [F_249] :
( ( range('#skF_14','#skF_15','#skF_16') != '#skF_15' )
| ~ member(ordered_pair(F_249,'#skF_18'),'#skF_16') ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_146]) ).
tff(c_4098,plain,
! [F_249] : ~ member(ordered_pair(F_249,'#skF_18'),'#skF_16'),
inference(demodulation,[status(thm),theory(equality)],[c_4033,c_174]) ).
tff(c_6159,plain,
( ~ member('#skF_18',range_of('#skF_16'))
| ~ ilf_type('#skF_16',binary_relation_type) ),
inference(resolution,[status(thm)],[c_6133,c_4098]) ).
tff(c_6172,plain,
~ ilf_type('#skF_16',binary_relation_type),
inference(demodulation,[status(thm),theory(equality)],[c_4032,c_4679,c_6159]) ).
tff(c_6176,plain,
~ relation_like('#skF_16'),
inference(resolution,[status(thm)],[c_263,c_6172]) ).
tff(c_6180,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4592,c_6176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET660+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/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 : n012.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 16:19:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 8.68/3.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.68/3.07
% 8.68/3.07 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.68/3.11
% 8.68/3.11 Inference rules
% 8.68/3.11 ----------------------
% 8.68/3.11 #Ref : 3
% 8.68/3.11 #Sup : 1327
% 8.68/3.11 #Fact : 8
% 8.68/3.11 #Define : 0
% 8.68/3.11 #Split : 18
% 8.68/3.11 #Chain : 0
% 8.68/3.11 #Close : 0
% 8.68/3.11
% 8.68/3.11 Ordering : KBO
% 8.68/3.11
% 8.68/3.11 Simplification rules
% 8.68/3.11 ----------------------
% 8.68/3.11 #Subsume : 272
% 8.68/3.11 #Demod : 241
% 8.68/3.11 #Tautology : 205
% 8.68/3.11 #SimpNegUnit : 50
% 8.68/3.11 #BackRed : 8
% 8.68/3.11
% 8.68/3.11 #Partial instantiations: 0
% 8.68/3.11 #Strategies tried : 1
% 8.68/3.11
% 8.68/3.11 Timing (in seconds)
% 8.68/3.11 ----------------------
% 8.68/3.12 Preprocessing : 0.70
% 8.68/3.12 Parsing : 0.35
% 8.68/3.12 CNF conversion : 0.07
% 8.68/3.12 Main loop : 1.33
% 8.68/3.12 Inferencing : 0.50
% 8.68/3.12 Reduction : 0.38
% 8.68/3.12 Demodulation : 0.26
% 8.68/3.12 BG Simplification : 0.06
% 8.68/3.12 Subsumption : 0.29
% 8.68/3.12 Abstraction : 0.05
% 8.68/3.12 MUC search : 0.00
% 8.68/3.12 Cooper : 0.00
% 8.68/3.12 Total : 2.10
% 8.68/3.12 Index Insertion : 0.00
% 8.68/3.12 Index Deletion : 0.00
% 8.68/3.12 Index Matching : 0.00
% 8.68/3.12 BG Taut test : 0.00
%------------------------------------------------------------------------------