TSTP Solution File: SET683+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET683+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 : n026.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 10:56:52 EDT 2023
% Result : Theorem 6.05s 2.46s
% Output : CNFRefutation 6.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 45
% Syntax : Number of formulae : 130 ( 34 unt; 30 typ; 0 def)
% Number of atoms : 247 ( 13 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 255 ( 108 ~; 92 |; 10 &)
% ( 6 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 37 ( 23 >; 14 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 7 con; 0-3 aty)
% Number of variables : 137 (; 133 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ member > ilf_type > relation_like > empty > range > domain > relation_type > ordered_pair > cross_product > #nlpp > subset_type > range_of > power_set > member_type > domain_of > set_type > binary_relation_type > #skF_4 > #skF_11 > #skF_14 > #skF_5 > #skF_10 > #skF_13 > #skF_8 > #skF_3 > #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_11',type,
'#skF_11': $i ).
tff(ordered_pair,type,
ordered_pair: ( $i * $i ) > $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('#skF_10',type,
'#skF_10': $i > $i ).
tff(member,type,
member: ( $i * $i ) > $o ).
tff('#skF_13',type,
'#skF_13': $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(domain,type,
domain: ( $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': $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_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $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_284,negated_conjecture,
~ ! [B] :
( ( ~ empty(B)
& ilf_type(B,set_type) )
=> ! [C] :
( ( ~ empty(C)
& ilf_type(C,set_type) )
=> ! [D] :
( ilf_type(D,relation_type(C,B))
=> ! [E] :
( ilf_type(E,member_type(B))
=> ( member(E,range(C,B,D))
=> ? [F] :
( ilf_type(F,member_type(C))
& member(F,domain(C,B,D)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_50) ).
tff(f_258,axiom,
! [B] : ilf_type(B,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24) ).
tff(f_56,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',p2) ).
tff(f_203,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',p18) ).
tff(f_125,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',p10) ).
tff(f_222,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ( domain(B,C,D) = domain_of(D) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20) ).
tff(f_233,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,relation_type(B,C))
=> ilf_type(domain(B,C,D),subset_type(B)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).
tff(f_167,axiom,
! [B] :
( ilf_type(B,set_type)
=> ( ~ empty(power_set(B))
& ilf_type(power_set(B),set_type) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15) ).
tff(f_138,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/sandbox/benchmark/theBenchmark.p',p12) ).
tff(f_78,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',p4) ).
tff(f_185,axiom,
! [B] :
( ilf_type(B,set_type)
=> ( relation_like(B)
<=> ! [C] :
( ilf_type(C,set_type)
=> ( member(C,B)
=> ? [D] :
( ilf_type(D,set_type)
& ? [E] :
( ilf_type(E,set_type)
& ( C = ordered_pair(D,E) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16) ).
tff(f_159,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',p14) ).
tff(f_98,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',p6) ).
tff(f_244,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/sandbox/benchmark/theBenchmark.p',p22) ).
tff(f_40,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(D,domain_of(C)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
tff(c_90,plain,
ilf_type('#skF_13',relation_type('#skF_12','#skF_11')),
inference(cnfTransformation,[status(thm)],[f_284]) ).
tff(c_82,plain,
! [B_120] : ilf_type(B_120,set_type),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_6,plain,
! [E_17,B_7,C_13] :
( ilf_type(E_17,subset_type(cross_product(B_7,C_13)))
| ~ ilf_type(E_17,relation_type(B_7,C_13))
| ~ ilf_type(C_13,set_type)
| ~ ilf_type(B_7,set_type) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_1682,plain,
! [E_347,B_348,C_349] :
( ilf_type(E_347,subset_type(cross_product(B_348,C_349)))
| ~ ilf_type(E_347,relation_type(B_348,C_349)) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_82,c_6]) ).
tff(c_70,plain,
! [D_88,B_82,C_86] :
( relation_like(D_88)
| ~ ilf_type(D_88,subset_type(cross_product(B_82,C_86)))
| ~ ilf_type(C_86,set_type)
| ~ ilf_type(B_82,set_type) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_112,plain,
! [D_88,B_82,C_86] :
( relation_like(D_88)
| ~ ilf_type(D_88,subset_type(cross_product(B_82,C_86))) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_82,c_70]) ).
tff(c_1692,plain,
! [E_350,B_351,C_352] :
( relation_like(E_350)
| ~ ilf_type(E_350,relation_type(B_351,C_352)) ),
inference(resolution,[status(thm)],[c_1682,c_112]) ).
tff(c_1700,plain,
relation_like('#skF_13'),
inference(resolution,[status(thm)],[c_90,c_1692]) ).
tff(c_30,plain,
! [B_38] :
( ilf_type(B_38,binary_relation_type)
| ~ relation_like(B_38)
| ~ ilf_type(B_38,set_type) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_148,plain,
! [B_38] :
( ilf_type(B_38,binary_relation_type)
| ~ relation_like(B_38) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_30]) ).
tff(c_74,plain,
! [B_92,C_96,D_98] :
( ( domain(B_92,C_96,D_98) = domain_of(D_98) )
| ~ ilf_type(D_98,relation_type(B_92,C_96))
| ~ ilf_type(C_96,set_type)
| ~ ilf_type(B_92,set_type) ),
inference(cnfTransformation,[status(thm)],[f_222]) ).
tff(c_2020,plain,
! [B_392,C_393,D_394] :
( ( domain(B_392,C_393,D_394) = domain_of(D_394) )
| ~ ilf_type(D_394,relation_type(B_392,C_393)) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_82,c_74]) ).
tff(c_2048,plain,
domain('#skF_12','#skF_11','#skF_13') = domain_of('#skF_13'),
inference(resolution,[status(thm)],[c_90,c_2020]) ).
tff(c_509,plain,
! [E_212,B_213,C_214] :
( ilf_type(E_212,subset_type(cross_product(B_213,C_214)))
| ~ ilf_type(E_212,relation_type(B_213,C_214)) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_82,c_6]) ).
tff(c_524,plain,
! [E_215,B_216,C_217] :
( relation_like(E_215)
| ~ ilf_type(E_215,relation_type(B_216,C_217)) ),
inference(resolution,[status(thm)],[c_509,c_112]) ).
tff(c_532,plain,
relation_like('#skF_13'),
inference(resolution,[status(thm)],[c_90,c_524]) ).
tff(c_832,plain,
! [B_254,C_255,D_256] :
( ( domain(B_254,C_255,D_256) = domain_of(D_256) )
| ~ ilf_type(D_256,relation_type(B_254,C_255)) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_82,c_74]) ).
tff(c_860,plain,
domain('#skF_12','#skF_11','#skF_13') = domain_of('#skF_13'),
inference(resolution,[status(thm)],[c_90,c_832]) ).
tff(c_76,plain,
! [B_99,C_103,D_105] :
( ilf_type(domain(B_99,C_103,D_105),subset_type(B_99))
| ~ ilf_type(D_105,relation_type(B_99,C_103))
| ~ ilf_type(C_103,set_type)
| ~ ilf_type(B_99,set_type) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_920,plain,
! [B_258,C_259,D_260] :
( ilf_type(domain(B_258,C_259,D_260),subset_type(B_258))
| ~ ilf_type(D_260,relation_type(B_258,C_259)) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_82,c_76]) ).
tff(c_934,plain,
( ilf_type(domain_of('#skF_13'),subset_type('#skF_12'))
| ~ ilf_type('#skF_13',relation_type('#skF_12','#skF_11')) ),
inference(superposition,[status(thm),theory(equality)],[c_860,c_920]) ).
tff(c_939,plain,
ilf_type(domain_of('#skF_13'),subset_type('#skF_12')),
inference(demodulation,[status(thm),theory(equality)],[c_90,c_934]) ).
tff(c_54,plain,
! [B_54] :
( ~ empty(power_set(B_54))
| ~ ilf_type(B_54,set_type) ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_128,plain,
! [B_54] : ~ empty(power_set(B_54)),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_54]) ).
tff(c_40,plain,
! [C_41,B_39] :
( ilf_type(C_41,member_type(power_set(B_39)))
| ~ ilf_type(C_41,subset_type(B_39))
| ~ ilf_type(C_41,set_type)
| ~ ilf_type(B_39,set_type) ),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_265,plain,
! [C_177,B_178] :
( ilf_type(C_177,member_type(power_set(B_178)))
| ~ ilf_type(C_177,subset_type(B_178)) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_82,c_40]) ).
tff(c_14,plain,
! [B_24,C_26] :
( member(B_24,C_26)
| ~ ilf_type(B_24,member_type(C_26))
| ~ ilf_type(C_26,set_type)
| empty(C_26)
| ~ ilf_type(B_24,set_type) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_162,plain,
! [B_24,C_26] :
( member(B_24,C_26)
| ~ ilf_type(B_24,member_type(C_26))
| empty(C_26) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_82,c_14]) ).
tff(c_268,plain,
! [C_177,B_178] :
( member(C_177,power_set(B_178))
| empty(power_set(B_178))
| ~ ilf_type(C_177,subset_type(B_178)) ),
inference(resolution,[status(thm)],[c_265,c_162]) ).
tff(c_271,plain,
! [C_177,B_178] :
( member(C_177,power_set(B_178))
| ~ ilf_type(C_177,subset_type(B_178)) ),
inference(negUnitSimplification,[status(thm)],[c_128,c_268]) ).
tff(c_58,plain,
! [B_55] :
( member('#skF_10'(B_55),B_55)
| relation_like(B_55)
| ~ ilf_type(B_55,set_type) ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_124,plain,
! [B_55] :
( member('#skF_10'(B_55),B_55)
| relation_like(B_55) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_58]) ).
tff(c_44,plain,
! [D_53,C_50,B_44] :
( member(D_53,C_50)
| ~ member(D_53,B_44)
| ~ ilf_type(D_53,set_type)
| ~ member(B_44,power_set(C_50))
| ~ ilf_type(C_50,set_type)
| ~ ilf_type(B_44,set_type) ),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_393,plain,
! [D_199,C_200,B_201] :
( member(D_199,C_200)
| ~ member(D_199,B_201)
| ~ member(B_201,power_set(C_200)) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_82,c_82,c_44]) ).
tff(c_418,plain,
! [B_55,C_200] :
( member('#skF_10'(B_55),C_200)
| ~ member(B_55,power_set(C_200))
| relation_like(B_55) ),
inference(resolution,[status(thm)],[c_124,c_393]) ).
tff(c_94,plain,
~ empty('#skF_12'),
inference(cnfTransformation,[status(thm)],[f_284]) ).
tff(c_12,plain,
! [B_24,C_26] :
( ilf_type(B_24,member_type(C_26))
| ~ member(B_24,C_26)
| ~ ilf_type(C_26,set_type)
| empty(C_26)
| ~ ilf_type(B_24,set_type) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_164,plain,
! [B_24,C_26] :
( ilf_type(B_24,member_type(C_26))
| ~ member(B_24,C_26)
| empty(C_26) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_82,c_12]) ).
tff(c_206,plain,
! [F_162] :
( ~ member(F_162,domain('#skF_12','#skF_11','#skF_13'))
| ~ ilf_type(F_162,member_type('#skF_12')) ),
inference(cnfTransformation,[status(thm)],[f_284]) ).
tff(c_215,plain,
( ~ ilf_type('#skF_10'(domain('#skF_12','#skF_11','#skF_13')),member_type('#skF_12'))
| relation_like(domain('#skF_12','#skF_11','#skF_13')) ),
inference(resolution,[status(thm)],[c_124,c_206]) ).
tff(c_336,plain,
~ ilf_type('#skF_10'(domain('#skF_12','#skF_11','#skF_13')),member_type('#skF_12')),
inference(splitLeft,[status(thm)],[c_215]) ).
tff(c_470,plain,
( ~ member('#skF_10'(domain('#skF_12','#skF_11','#skF_13')),'#skF_12')
| empty('#skF_12') ),
inference(resolution,[status(thm)],[c_164,c_336]) ).
tff(c_473,plain,
~ member('#skF_10'(domain('#skF_12','#skF_11','#skF_13')),'#skF_12'),
inference(negUnitSimplification,[status(thm)],[c_94,c_470]) ).
tff(c_865,plain,
~ member('#skF_10'(domain_of('#skF_13')),'#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_860,c_473]) ).
tff(c_877,plain,
( ~ member(domain_of('#skF_13'),power_set('#skF_12'))
| relation_like(domain_of('#skF_13')) ),
inference(resolution,[status(thm)],[c_418,c_865]) ).
tff(c_919,plain,
~ member(domain_of('#skF_13'),power_set('#skF_12')),
inference(splitLeft,[status(thm)],[c_877]) ).
tff(c_946,plain,
~ ilf_type(domain_of('#skF_13'),subset_type('#skF_12')),
inference(resolution,[status(thm)],[c_271,c_919]) ).
tff(c_953,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_939,c_946]) ).
tff(c_955,plain,
member(domain_of('#skF_13'),power_set('#skF_12')),
inference(splitRight,[status(thm)],[c_877]) ).
tff(c_20,plain,
! [B_29] :
( member('#skF_4'(B_29),B_29)
| empty(B_29)
| ~ ilf_type(B_29,set_type) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_156,plain,
! [B_29] :
( member('#skF_4'(B_29),B_29)
| empty(B_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_20]) ).
tff(c_1054,plain,
! [B_272,C_273] :
( member('#skF_4'(B_272),C_273)
| ~ member(B_272,power_set(C_273))
| empty(B_272) ),
inference(resolution,[status(thm)],[c_156,c_393]) ).
tff(c_311,plain,
! [B_186,C_187] :
( ilf_type(B_186,member_type(C_187))
| ~ member(B_186,C_187)
| empty(C_187) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_82,c_12]) ).
tff(c_216,plain,
( ~ ilf_type('#skF_4'(domain('#skF_12','#skF_11','#skF_13')),member_type('#skF_12'))
| empty(domain('#skF_12','#skF_11','#skF_13')) ),
inference(resolution,[status(thm)],[c_156,c_206]) ).
tff(c_272,plain,
~ ilf_type('#skF_4'(domain('#skF_12','#skF_11','#skF_13')),member_type('#skF_12')),
inference(splitLeft,[status(thm)],[c_216]) ).
tff(c_318,plain,
( ~ member('#skF_4'(domain('#skF_12','#skF_11','#skF_13')),'#skF_12')
| empty('#skF_12') ),
inference(resolution,[status(thm)],[c_311,c_272]) ).
tff(c_327,plain,
~ member('#skF_4'(domain('#skF_12','#skF_11','#skF_13')),'#skF_12'),
inference(negUnitSimplification,[status(thm)],[c_94,c_318]) ).
tff(c_867,plain,
~ member('#skF_4'(domain_of('#skF_13')),'#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_860,c_327]) ).
tff(c_1061,plain,
( ~ member(domain_of('#skF_13'),power_set('#skF_12'))
| empty(domain_of('#skF_13')) ),
inference(resolution,[status(thm)],[c_1054,c_867]) ).
tff(c_1078,plain,
empty(domain_of('#skF_13')),
inference(demodulation,[status(thm),theory(equality)],[c_955,c_1061]) ).
tff(c_78,plain,
! [B_106,C_110,D_112] :
( ( range(B_106,C_110,D_112) = range_of(D_112) )
| ~ ilf_type(D_112,relation_type(B_106,C_110))
| ~ ilf_type(C_110,set_type)
| ~ ilf_type(B_106,set_type) ),
inference(cnfTransformation,[status(thm)],[f_244]) ).
tff(c_606,plain,
! [B_225,C_226,D_227] :
( ( range(B_225,C_226,D_227) = range_of(D_227) )
| ~ ilf_type(D_227,relation_type(B_225,C_226)) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_82,c_78]) ).
tff(c_614,plain,
range('#skF_12','#skF_11','#skF_13') = range_of('#skF_13'),
inference(resolution,[status(thm)],[c_90,c_606]) ).
tff(c_86,plain,
member('#skF_14',range('#skF_12','#skF_11','#skF_13')),
inference(cnfTransformation,[status(thm)],[f_284]) ).
tff(c_617,plain,
member('#skF_14',range_of('#skF_13')),
inference(demodulation,[status(thm),theory(equality)],[c_614,c_86]) ).
tff(c_2,plain,
! [B_1,C_5] :
( member('#skF_1'(B_1,C_5),domain_of(C_5))
| ~ member(B_1,range_of(C_5))
| ~ ilf_type(C_5,binary_relation_type)
| ~ ilf_type(B_1,set_type) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_1339,plain,
! [B_308,C_309] :
( member('#skF_1'(B_308,C_309),domain_of(C_309))
| ~ member(B_308,range_of(C_309))
| ~ ilf_type(C_309,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_2]) ).
tff(c_18,plain,
! [C_32,B_29] :
( ~ member(C_32,B_29)
| ~ ilf_type(C_32,set_type)
| ~ empty(B_29)
| ~ ilf_type(B_29,set_type) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_158,plain,
! [C_32,B_29] :
( ~ member(C_32,B_29)
| ~ empty(B_29) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_82,c_18]) ).
tff(c_1360,plain,
! [C_314,B_315] :
( ~ empty(domain_of(C_314))
| ~ member(B_315,range_of(C_314))
| ~ ilf_type(C_314,binary_relation_type) ),
inference(resolution,[status(thm)],[c_1339,c_158]) ).
tff(c_1367,plain,
( ~ empty(domain_of('#skF_13'))
| ~ ilf_type('#skF_13',binary_relation_type) ),
inference(resolution,[status(thm)],[c_617,c_1360]) ).
tff(c_1391,plain,
~ ilf_type('#skF_13',binary_relation_type),
inference(demodulation,[status(thm),theory(equality)],[c_1078,c_1367]) ).
tff(c_1450,plain,
~ relation_like('#skF_13'),
inference(resolution,[status(thm)],[c_148,c_1391]) ).
tff(c_1454,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_532,c_1450]) ).
tff(c_1455,plain,
empty(domain('#skF_12','#skF_11','#skF_13')),
inference(splitRight,[status(thm)],[c_216]) ).
tff(c_2055,plain,
empty(domain_of('#skF_13')),
inference(demodulation,[status(thm),theory(equality)],[c_2048,c_1455]) ).
tff(c_1791,plain,
! [B_363,C_364,D_365] :
( ( range(B_363,C_364,D_365) = range_of(D_365) )
| ~ ilf_type(D_365,relation_type(B_363,C_364)) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_82,c_78]) ).
tff(c_1799,plain,
range('#skF_12','#skF_11','#skF_13') = range_of('#skF_13'),
inference(resolution,[status(thm)],[c_90,c_1791]) ).
tff(c_1802,plain,
member('#skF_14',range_of('#skF_13')),
inference(demodulation,[status(thm),theory(equality)],[c_1799,c_86]) ).
tff(c_2330,plain,
! [B_415,C_416] :
( member('#skF_1'(B_415,C_416),domain_of(C_416))
| ~ member(B_415,range_of(C_416))
| ~ ilf_type(C_416,binary_relation_type) ),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_2]) ).
tff(c_2563,plain,
! [C_443,B_444] :
( ~ empty(domain_of(C_443))
| ~ member(B_444,range_of(C_443))
| ~ ilf_type(C_443,binary_relation_type) ),
inference(resolution,[status(thm)],[c_2330,c_158]) ).
tff(c_2574,plain,
( ~ empty(domain_of('#skF_13'))
| ~ ilf_type('#skF_13',binary_relation_type) ),
inference(resolution,[status(thm)],[c_1802,c_2563]) ).
tff(c_2599,plain,
~ ilf_type('#skF_13',binary_relation_type),
inference(demodulation,[status(thm),theory(equality)],[c_2055,c_2574]) ).
tff(c_2607,plain,
~ relation_like('#skF_13'),
inference(resolution,[status(thm)],[c_148,c_2599]) ).
tff(c_2611,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1700,c_2607]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET683+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
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 16:34:01 EDT 2023
% 0.13/0.35 % CPUTime :
% 6.05/2.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.25/2.47
% 6.25/2.47 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.25/2.51
% 6.25/2.51 Inference rules
% 6.25/2.51 ----------------------
% 6.25/2.51 #Ref : 0
% 6.25/2.51 #Sup : 493
% 6.25/2.51 #Fact : 0
% 6.25/2.51 #Define : 0
% 6.25/2.51 #Split : 6
% 6.25/2.51 #Chain : 0
% 6.25/2.51 #Close : 0
% 6.25/2.51
% 6.25/2.51 Ordering : KBO
% 6.25/2.51
% 6.25/2.51 Simplification rules
% 6.25/2.51 ----------------------
% 6.25/2.51 #Subsume : 99
% 6.25/2.51 #Demod : 169
% 6.25/2.51 #Tautology : 95
% 6.25/2.51 #SimpNegUnit : 40
% 6.25/2.51 #BackRed : 23
% 6.25/2.51
% 6.25/2.51 #Partial instantiations: 0
% 6.25/2.51 #Strategies tried : 1
% 6.25/2.51
% 6.25/2.51 Timing (in seconds)
% 6.25/2.51 ----------------------
% 6.25/2.51 Preprocessing : 0.61
% 6.25/2.51 Parsing : 0.33
% 6.25/2.51 CNF conversion : 0.05
% 6.25/2.51 Main loop : 0.82
% 6.25/2.51 Inferencing : 0.33
% 6.25/2.51 Reduction : 0.24
% 6.25/2.51 Demodulation : 0.17
% 6.25/2.51 BG Simplification : 0.04
% 6.25/2.51 Subsumption : 0.16
% 6.25/2.51 Abstraction : 0.03
% 6.25/2.51 MUC search : 0.00
% 6.25/2.51 Cooper : 0.00
% 6.25/2.51 Total : 1.50
% 6.25/2.51 Index Insertion : 0.00
% 6.25/2.51 Index Deletion : 0.00
% 6.25/2.51 Index Matching : 0.00
% 6.25/2.51 BG Taut test : 0.00
%------------------------------------------------------------------------------