TSTP Solution File: SET980+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET980+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 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 : n008.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 10:57:27 EDT 2023
% Result : Theorem 5.02s 2.30s
% Output : CNFRefutation 5.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of formulae : 125 ( 55 unt; 16 typ; 0 def)
% Number of atoms : 193 ( 86 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 155 ( 71 ~; 76 |; 2 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 9 >; 6 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 99 (; 99 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ in > empty > unordered_pair > ordered_pair > cartesian_product2 > #nlpp > singleton > empty_set > #skF_1 > #skF_7 > #skF_5 > #skF_6 > #skF_2 > #skF_3 > #skF_8 > #skF_4 > #skF_9
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(singleton,type,
singleton: $i > $i ).
tff(unordered_pair,type,
unordered_pair: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(ordered_pair,type,
ordered_pair: ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(empty,type,
empty: $i > $o ).
tff(empty_set,type,
empty_set: $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(cartesian_product2,type,
cartesian_product2: ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(f_74,negated_conjecture,
~ ! [A,B,C,D] :
( ( cartesian_product2(A,B) = cartesian_product2(C,D) )
=> ( ( A = empty_set )
| ( B = empty_set )
| ( ( A = C )
& ( B = D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t134_zfmisc_1) ).
tff(f_81,axiom,
! [A,B] :
( ! [C] :
( in(C,A)
<=> in(C,B) )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
tff(f_40,axiom,
! [A] :
( ( A = empty_set )
<=> ! [B] : ~ in(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
tff(f_52,axiom,
! [A,B,C,D] :
( in(ordered_pair(A,B),cartesian_product2(C,D))
<=> ( in(A,C)
& in(B,D) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l55_zfmisc_1) ).
tff(f_63,axiom,
! [A,B] :
( ( cartesian_product2(A,B) = empty_set )
<=> ( ( A = empty_set )
| ( B = empty_set ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t113_zfmisc_1) ).
tff(c_32,plain,
( ( '#skF_7' != '#skF_5' )
| ( '#skF_6' != '#skF_4' ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_49,plain,
'#skF_6' != '#skF_4',
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_46,plain,
! [A_19,B_20] :
( in('#skF_8'(A_19,B_20),B_20)
| in('#skF_9'(A_19,B_20),A_19)
| ( B_20 = A_19 ) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_34,plain,
empty_set != '#skF_5',
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_339,plain,
! [A_59,B_60] :
( in('#skF_8'(A_59,B_60),B_60)
| in('#skF_9'(A_59,B_60),A_59)
| ( B_60 = A_59 ) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_6,plain,
! [B_8] : ~ in(B_8,empty_set),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_362,plain,
! [A_59] :
( in('#skF_9'(A_59,empty_set),A_59)
| ( empty_set = A_59 ) ),
inference(resolution,[status(thm)],[c_339,c_6]) ).
tff(c_406,plain,
! [A_71,B_72,C_73,D_74] :
( in(ordered_pair(A_71,B_72),cartesian_product2(C_73,D_74))
| ~ in(B_72,D_74)
| ~ in(A_71,C_73) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_38,plain,
cartesian_product2('#skF_6','#skF_7') = cartesian_product2('#skF_4','#skF_5'),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_256,plain,
! [A_41,C_42,B_43,D_44] :
( in(A_41,C_42)
| ~ in(ordered_pair(A_41,B_43),cartesian_product2(C_42,D_44)) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_265,plain,
! [A_41,B_43] :
( in(A_41,'#skF_6')
| ~ in(ordered_pair(A_41,B_43),cartesian_product2('#skF_4','#skF_5')) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_256]) ).
tff(c_434,plain,
! [A_71,B_72] :
( in(A_71,'#skF_6')
| ~ in(B_72,'#skF_5')
| ~ in(A_71,'#skF_4') ),
inference(resolution,[status(thm)],[c_406,c_265]) ).
tff(c_508,plain,
! [B_80] : ~ in(B_80,'#skF_5'),
inference(splitLeft,[status(thm)],[c_434]) ).
tff(c_512,plain,
empty_set = '#skF_5',
inference(resolution,[status(thm)],[c_362,c_508]) ).
tff(c_530,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34,c_512]) ).
tff(c_532,plain,
! [A_81] :
( in(A_81,'#skF_6')
| ~ in(A_81,'#skF_4') ),
inference(splitRight,[status(thm)],[c_434]) ).
tff(c_44,plain,
! [A_19,B_20] :
( ~ in('#skF_8'(A_19,B_20),A_19)
| in('#skF_9'(A_19,B_20),A_19)
| ( B_20 = A_19 ) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_1255,plain,
! [B_118] :
( in('#skF_9'('#skF_6',B_118),'#skF_6')
| ( B_118 = '#skF_6' )
| ~ in('#skF_8'('#skF_6',B_118),'#skF_4') ),
inference(resolution,[status(thm)],[c_532,c_44]) ).
tff(c_1263,plain,
( in('#skF_9'('#skF_6','#skF_4'),'#skF_6')
| ( '#skF_6' = '#skF_4' ) ),
inference(resolution,[status(thm)],[c_46,c_1255]) ).
tff(c_1268,plain,
in('#skF_9'('#skF_6','#skF_4'),'#skF_6'),
inference(negUnitSimplification,[status(thm)],[c_49,c_49,c_1263]) ).
tff(c_8,plain,
! [A_5] :
( ( empty_set = A_5 )
| in('#skF_1'(A_5),A_5) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_482,plain,
! [A_77,B_78] :
( in(ordered_pair(A_77,B_78),cartesian_product2('#skF_4','#skF_5'))
| ~ in(B_78,'#skF_7')
| ~ in(A_77,'#skF_6') ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_406]) ).
tff(c_18,plain,
! [B_14,D_16,A_13,C_15] :
( in(B_14,D_16)
| ~ in(ordered_pair(A_13,B_14),cartesian_product2(C_15,D_16)) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_498,plain,
! [B_78,A_77] :
( in(B_78,'#skF_5')
| ~ in(B_78,'#skF_7')
| ~ in(A_77,'#skF_6') ),
inference(resolution,[status(thm)],[c_482,c_18]) ).
tff(c_578,plain,
! [A_89] : ~ in(A_89,'#skF_6'),
inference(splitLeft,[status(thm)],[c_498]) ).
tff(c_597,plain,
empty_set = '#skF_6',
inference(resolution,[status(thm)],[c_362,c_578]) ).
tff(c_30,plain,
! [B_18] : ( cartesian_product2(empty_set,B_18) = empty_set ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_607,plain,
! [B_18] : ( cartesian_product2('#skF_6',B_18) = '#skF_6' ),
inference(demodulation,[status(thm),theory(equality)],[c_597,c_597,c_30]) ).
tff(c_637,plain,
cartesian_product2('#skF_4','#skF_5') = '#skF_6',
inference(demodulation,[status(thm),theory(equality)],[c_607,c_38]) ).
tff(c_120,plain,
! [B_32,A_33] :
( ( empty_set = B_32 )
| ( empty_set = A_33 )
| ( cartesian_product2(A_33,B_32) != empty_set ) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_129,plain,
( ( empty_set = '#skF_7' )
| ( empty_set = '#skF_6' )
| ( cartesian_product2('#skF_4','#skF_5') != empty_set ) ),
inference(superposition,[status(thm),theory(equality)],[c_38,c_120]) ).
tff(c_135,plain,
cartesian_product2('#skF_4','#skF_5') != empty_set,
inference(splitLeft,[status(thm)],[c_129]) ).
tff(c_603,plain,
cartesian_product2('#skF_4','#skF_5') != '#skF_6',
inference(demodulation,[status(thm),theory(equality)],[c_597,c_135]) ).
tff(c_708,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_637,c_603]) ).
tff(c_761,plain,
! [B_97] :
( in(B_97,'#skF_5')
| ~ in(B_97,'#skF_7') ),
inference(splitRight,[status(thm)],[c_498]) ).
tff(c_787,plain,
( in('#skF_1'('#skF_7'),'#skF_5')
| ( empty_set = '#skF_7' ) ),
inference(resolution,[status(thm)],[c_8,c_761]) ).
tff(c_788,plain,
empty_set = '#skF_7',
inference(splitLeft,[status(thm)],[c_787]) ).
tff(c_28,plain,
! [A_17] : ( cartesian_product2(A_17,empty_set) = empty_set ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_796,plain,
! [A_17] : ( cartesian_product2(A_17,'#skF_7') = '#skF_7' ),
inference(demodulation,[status(thm),theory(equality)],[c_788,c_788,c_28]) ).
tff(c_860,plain,
cartesian_product2('#skF_4','#skF_5') = '#skF_7',
inference(demodulation,[status(thm),theory(equality)],[c_796,c_38]) ).
tff(c_791,plain,
cartesian_product2('#skF_4','#skF_5') != '#skF_7',
inference(demodulation,[status(thm),theory(equality)],[c_788,c_135]) ).
tff(c_910,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_860,c_791]) ).
tff(c_912,plain,
empty_set != '#skF_7',
inference(splitRight,[status(thm)],[c_787]) ).
tff(c_20,plain,
! [A_13,C_15,B_14,D_16] :
( in(A_13,C_15)
| ~ in(ordered_pair(A_13,B_14),cartesian_product2(C_15,D_16)) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_500,plain,
! [A_77,B_78] :
( in(A_77,'#skF_4')
| ~ in(B_78,'#skF_7')
| ~ in(A_77,'#skF_6') ),
inference(resolution,[status(thm)],[c_482,c_20]) ).
tff(c_916,plain,
! [B_104] : ~ in(B_104,'#skF_7'),
inference(splitLeft,[status(thm)],[c_500]) ).
tff(c_920,plain,
empty_set = '#skF_7',
inference(resolution,[status(thm)],[c_362,c_916]) ).
tff(c_938,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_912,c_920]) ).
tff(c_939,plain,
! [A_77] :
( in(A_77,'#skF_4')
| ~ in(A_77,'#skF_6') ),
inference(splitRight,[status(thm)],[c_500]) ).
tff(c_1274,plain,
in('#skF_9'('#skF_6','#skF_4'),'#skF_4'),
inference(resolution,[status(thm)],[c_1268,c_939]) ).
tff(c_42,plain,
! [A_19,B_20] :
( in('#skF_8'(A_19,B_20),B_20)
| ~ in('#skF_9'(A_19,B_20),B_20)
| ( B_20 = A_19 ) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_40,plain,
! [A_19,B_20] :
( ~ in('#skF_8'(A_19,B_20),A_19)
| ~ in('#skF_9'(A_19,B_20),B_20)
| ( B_20 = A_19 ) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_552,plain,
! [B_20] :
( ~ in('#skF_9'('#skF_6',B_20),B_20)
| ( B_20 = '#skF_6' )
| ~ in('#skF_8'('#skF_6',B_20),'#skF_4') ),
inference(resolution,[status(thm)],[c_532,c_40]) ).
tff(c_1277,plain,
( ( '#skF_6' = '#skF_4' )
| ~ in('#skF_8'('#skF_6','#skF_4'),'#skF_4') ),
inference(resolution,[status(thm)],[c_1274,c_552]) ).
tff(c_1285,plain,
~ in('#skF_8'('#skF_6','#skF_4'),'#skF_4'),
inference(negUnitSimplification,[status(thm)],[c_49,c_1277]) ).
tff(c_1335,plain,
( ~ in('#skF_9'('#skF_6','#skF_4'),'#skF_4')
| ( '#skF_6' = '#skF_4' ) ),
inference(resolution,[status(thm)],[c_42,c_1285]) ).
tff(c_1341,plain,
'#skF_6' = '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_1274,c_1335]) ).
tff(c_1343,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49,c_1341]) ).
tff(c_1344,plain,
( ( empty_set = '#skF_6' )
| ( empty_set = '#skF_7' ) ),
inference(splitRight,[status(thm)],[c_129]) ).
tff(c_1346,plain,
empty_set = '#skF_7',
inference(splitLeft,[status(thm)],[c_1344]) ).
tff(c_36,plain,
empty_set != '#skF_4',
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_1355,plain,
'#skF_7' != '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_1346,c_36]) ).
tff(c_1353,plain,
'#skF_7' != '#skF_5',
inference(demodulation,[status(thm),theory(equality)],[c_1346,c_34]) ).
tff(c_1345,plain,
cartesian_product2('#skF_4','#skF_5') = empty_set,
inference(splitRight,[status(thm)],[c_129]) ).
tff(c_1368,plain,
cartesian_product2('#skF_4','#skF_5') = '#skF_7',
inference(demodulation,[status(thm),theory(equality)],[c_1346,c_1345]) ).
tff(c_26,plain,
! [B_18,A_17] :
( ( empty_set = B_18 )
| ( empty_set = A_17 )
| ( cartesian_product2(A_17,B_18) != empty_set ) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_1445,plain,
! [B_132,A_133] :
( ( B_132 = '#skF_7' )
| ( A_133 = '#skF_7' )
| ( cartesian_product2(A_133,B_132) != '#skF_7' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1346,c_1346,c_1346,c_26]) ).
tff(c_1451,plain,
( ( '#skF_7' = '#skF_5' )
| ( '#skF_7' = '#skF_4' ) ),
inference(superposition,[status(thm),theory(equality)],[c_1368,c_1445]) ).
tff(c_1460,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1355,c_1353,c_1451]) ).
tff(c_1461,plain,
empty_set = '#skF_6',
inference(splitRight,[status(thm)],[c_1344]) ).
tff(c_1469,plain,
'#skF_5' != '#skF_6',
inference(demodulation,[status(thm),theory(equality)],[c_1461,c_34]) ).
tff(c_1518,plain,
cartesian_product2('#skF_4','#skF_5') = '#skF_6',
inference(demodulation,[status(thm),theory(equality)],[c_1461,c_1345]) ).
tff(c_1551,plain,
! [B_141,A_142] :
( ( B_141 = '#skF_6' )
| ( A_142 = '#skF_6' )
| ( cartesian_product2(A_142,B_141) != '#skF_6' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1461,c_1461,c_1461,c_26]) ).
tff(c_1557,plain,
( ( '#skF_5' = '#skF_6' )
| ( '#skF_6' = '#skF_4' ) ),
inference(superposition,[status(thm),theory(equality)],[c_1518,c_1551]) ).
tff(c_1566,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49,c_1469,c_1557]) ).
tff(c_1567,plain,
'#skF_7' != '#skF_5',
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_1862,plain,
! [A_173,B_174] :
( in('#skF_8'(A_173,B_174),B_174)
| in('#skF_9'(A_173,B_174),A_173)
| ( B_174 = A_173 ) ),
inference(cnfTransformation,[status(thm)],[f_81]) ).
tff(c_1879,plain,
! [A_173] :
( in('#skF_9'(A_173,empty_set),A_173)
| ( empty_set = A_173 ) ),
inference(resolution,[status(thm)],[c_1862,c_6]) ).
tff(c_1919,plain,
! [A_181,B_182,C_183,D_184] :
( in(ordered_pair(A_181,B_182),cartesian_product2(C_183,D_184))
| ~ in(B_182,D_184)
| ~ in(A_181,C_183) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_1568,plain,
'#skF_6' = '#skF_4',
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_1595,plain,
cartesian_product2('#skF_4','#skF_7') = cartesian_product2('#skF_4','#skF_5'),
inference(demodulation,[status(thm),theory(equality)],[c_1568,c_38]) ).
tff(c_1793,plain,
! [B_163,D_164,A_165,C_166] :
( in(B_163,D_164)
| ~ in(ordered_pair(A_165,B_163),cartesian_product2(C_166,D_164)) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_1796,plain,
! [B_163,A_165] :
( in(B_163,'#skF_7')
| ~ in(ordered_pair(A_165,B_163),cartesian_product2('#skF_4','#skF_5')) ),
inference(superposition,[status(thm),theory(equality)],[c_1595,c_1793]) ).
tff(c_1941,plain,
! [B_182,A_181] :
( in(B_182,'#skF_7')
| ~ in(B_182,'#skF_5')
| ~ in(A_181,'#skF_4') ),
inference(resolution,[status(thm)],[c_1919,c_1796]) ).
tff(c_1948,plain,
! [A_185] : ~ in(A_185,'#skF_4'),
inference(splitLeft,[status(thm)],[c_1941]) ).
tff(c_1952,plain,
empty_set = '#skF_4',
inference(resolution,[status(thm)],[c_1879,c_1948]) ).
tff(c_1970,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36,c_1952]) ).
tff(c_1972,plain,
! [B_186] :
( in(B_186,'#skF_7')
| ~ in(B_186,'#skF_5') ),
inference(splitRight,[status(thm)],[c_1941]) ).
tff(c_2221,plain,
! [B_213] :
( in('#skF_9'('#skF_7',B_213),'#skF_7')
| ( B_213 = '#skF_7' )
| ~ in('#skF_8'('#skF_7',B_213),'#skF_5') ),
inference(resolution,[status(thm)],[c_1972,c_44]) ).
tff(c_2229,plain,
( in('#skF_9'('#skF_7','#skF_5'),'#skF_7')
| ( '#skF_7' = '#skF_5' ) ),
inference(resolution,[status(thm)],[c_46,c_2221]) ).
tff(c_2234,plain,
in('#skF_9'('#skF_7','#skF_5'),'#skF_7'),
inference(negUnitSimplification,[status(thm)],[c_1567,c_1567,c_2229]) ).
tff(c_2013,plain,
! [A_195,B_196] :
( in(ordered_pair(A_195,B_196),cartesian_product2('#skF_4','#skF_5'))
| ~ in(B_196,'#skF_7')
| ~ in(A_195,'#skF_4') ),
inference(superposition,[status(thm),theory(equality)],[c_1595,c_1919]) ).
tff(c_2026,plain,
! [B_196,A_195] :
( in(B_196,'#skF_5')
| ~ in(B_196,'#skF_7')
| ~ in(A_195,'#skF_4') ),
inference(resolution,[status(thm)],[c_2013,c_18]) ).
tff(c_2030,plain,
! [A_197] : ~ in(A_197,'#skF_4'),
inference(splitLeft,[status(thm)],[c_2026]) ).
tff(c_2034,plain,
empty_set = '#skF_4',
inference(resolution,[status(thm)],[c_1879,c_2030]) ).
tff(c_2052,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36,c_2034]) ).
tff(c_2053,plain,
! [B_196] :
( in(B_196,'#skF_5')
| ~ in(B_196,'#skF_7') ),
inference(splitRight,[status(thm)],[c_2026]) ).
tff(c_2240,plain,
in('#skF_9'('#skF_7','#skF_5'),'#skF_5'),
inference(resolution,[status(thm)],[c_2234,c_2053]) ).
tff(c_1983,plain,
! [B_20] :
( ~ in('#skF_9'('#skF_7',B_20),B_20)
| ( B_20 = '#skF_7' )
| ~ in('#skF_8'('#skF_7',B_20),'#skF_5') ),
inference(resolution,[status(thm)],[c_1972,c_40]) ).
tff(c_2243,plain,
( ( '#skF_7' = '#skF_5' )
| ~ in('#skF_8'('#skF_7','#skF_5'),'#skF_5') ),
inference(resolution,[status(thm)],[c_2240,c_1983]) ).
tff(c_2251,plain,
~ in('#skF_8'('#skF_7','#skF_5'),'#skF_5'),
inference(negUnitSimplification,[status(thm)],[c_1567,c_2243]) ).
tff(c_2309,plain,
( ~ in('#skF_9'('#skF_7','#skF_5'),'#skF_5')
| ( '#skF_7' = '#skF_5' ) ),
inference(resolution,[status(thm)],[c_42,c_2251]) ).
tff(c_2315,plain,
'#skF_7' = '#skF_5',
inference(demodulation,[status(thm),theory(equality)],[c_2240,c_2309]) ).
tff(c_2317,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1567,c_2315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET980+1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 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
% 0.18/0.36 % Computer : n008.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Thu Aug 3 16:46:33 EDT 2023
% 0.18/0.36 % CPUTime :
% 5.02/2.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.02/2.32
% 5.02/2.32 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.44/2.36
% 5.44/2.36 Inference rules
% 5.44/2.36 ----------------------
% 5.44/2.36 #Ref : 0
% 5.44/2.36 #Sup : 524
% 5.44/2.36 #Fact : 0
% 5.44/2.36 #Define : 0
% 5.44/2.36 #Split : 15
% 5.44/2.36 #Chain : 0
% 5.44/2.36 #Close : 0
% 5.44/2.36
% 5.44/2.36 Ordering : KBO
% 5.44/2.36
% 5.44/2.36 Simplification rules
% 5.44/2.36 ----------------------
% 5.44/2.36 #Subsume : 138
% 5.44/2.36 #Demod : 188
% 5.44/2.36 #Tautology : 207
% 5.44/2.36 #SimpNegUnit : 65
% 5.44/2.36 #BackRed : 99
% 5.44/2.36
% 5.44/2.36 #Partial instantiations: 0
% 5.44/2.36 #Strategies tried : 1
% 5.44/2.36
% 5.44/2.36 Timing (in seconds)
% 5.44/2.36 ----------------------
% 5.44/2.36 Preprocessing : 0.50
% 5.44/2.36 Parsing : 0.25
% 5.44/2.36 CNF conversion : 0.04
% 5.44/2.36 Main loop : 0.76
% 5.44/2.36 Inferencing : 0.29
% 5.44/2.36 Reduction : 0.23
% 5.44/2.36 Demodulation : 0.16
% 5.44/2.36 BG Simplification : 0.03
% 5.44/2.36 Subsumption : 0.14
% 5.44/2.36 Abstraction : 0.03
% 5.44/2.36 MUC search : 0.00
% 5.44/2.36 Cooper : 0.00
% 5.44/2.36 Total : 1.33
% 5.44/2.36 Index Insertion : 0.00
% 5.44/2.36 Index Deletion : 0.00
% 5.44/2.36 Index Matching : 0.00
% 5.44/2.36 BG Taut test : 0.00
%------------------------------------------------------------------------------