TSTP Solution File: SET624+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET624+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 : n014.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 10:56:44 EDT 2023
% Result : Theorem 22.64s 10.96s
% Output : CNFRefutation 22.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 120 ( 46 unt; 12 typ; 0 def)
% Number of atoms : 203 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 182 ( 87 ~; 90 |; 1 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 6 >; 6 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 152 (; 151 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ member > intersect > union > #nlpp > #skF_7 > #skF_3 > #skF_5 > #skF_6 > #skF_9 > #skF_8 > #skF_4 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(intersect,type,
intersect: ( $i * $i ) > $o ).
tff(union,type,
union: ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(member,type,
member: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_9',type,
'#skF_9': $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_45,axiom,
! [B,C] : ( union(B,C) = union(C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_union) ).
tff(f_66,negated_conjecture,
~ ! [B,C,D] :
( intersect(B,union(C,D))
<=> ( intersect(B,C)
| intersect(B,D) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersect_with_union) ).
tff(f_50,axiom,
! [B,C] :
( intersect(B,C)
=> intersect(C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_intersect) ).
tff(f_42,axiom,
! [B,C] :
( intersect(B,C)
<=> ? [D] :
( member(D,B)
& member(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersect_defn) ).
tff(f_34,axiom,
! [B,C,D] :
( member(D,union(B,C))
<=> ( member(D,B)
| member(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
tff(c_14,plain,
! [C_10,B_9] : ( union(C_10,B_9) = union(B_9,C_10) ),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_34,plain,
( ~ intersect('#skF_4',union('#skF_5','#skF_6'))
| ~ intersect('#skF_7','#skF_8') ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_41,plain,
( ~ intersect('#skF_4',union('#skF_6','#skF_5'))
| ~ intersect('#skF_7','#skF_8') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_34]) ).
tff(c_92,plain,
~ intersect('#skF_7','#skF_8'),
inference(splitLeft,[status(thm)],[c_41]) ).
tff(c_30,plain,
( ~ intersect('#skF_4',union('#skF_5','#skF_6'))
| ~ intersect('#skF_7','#skF_9') ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_42,plain,
( ~ intersect('#skF_4',union('#skF_6','#skF_5'))
| ~ intersect('#skF_7','#skF_9') ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_30]) ).
tff(c_95,plain,
~ intersect('#skF_7','#skF_9'),
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_40,plain,
( intersect('#skF_4','#skF_6')
| intersect('#skF_4','#skF_5')
| intersect('#skF_7',union('#skF_8','#skF_9')) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_135,plain,
intersect('#skF_7',union('#skF_8','#skF_9')),
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_16,plain,
! [C_12,B_11] :
( intersect(C_12,B_11)
| ~ intersect(B_11,C_12) ),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_138,plain,
intersect(union('#skF_8','#skF_9'),'#skF_7'),
inference(resolution,[status(thm)],[c_135,c_16]) ).
tff(c_12,plain,
! [B_4,C_5] :
( member('#skF_1'(B_4,C_5),B_4)
| ~ intersect(B_4,C_5) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_110,plain,
! [D_35,C_36,B_37] :
( member(D_35,C_36)
| member(D_35,B_37)
| ~ member(D_35,union(B_37,C_36)) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_1110,plain,
! [B_122,C_123,C_124] :
( member('#skF_1'(union(B_122,C_123),C_124),C_123)
| member('#skF_1'(union(B_122,C_123),C_124),B_122)
| ~ intersect(union(B_122,C_123),C_124) ),
inference(resolution,[status(thm)],[c_12,c_110]) ).
tff(c_10,plain,
! [B_4,C_5] :
( member('#skF_1'(B_4,C_5),C_5)
| ~ intersect(B_4,C_5) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_96,plain,
! [B_32,C_33,D_34] :
( intersect(B_32,C_33)
| ~ member(D_34,C_33)
| ~ member(D_34,B_32) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_106,plain,
! [B_32,C_5,B_4] :
( intersect(B_32,C_5)
| ~ member('#skF_1'(B_4,C_5),B_32)
| ~ intersect(B_4,C_5) ),
inference(resolution,[status(thm)],[c_10,c_96]) ).
tff(c_11558,plain,
! [B_375,C_376,C_377] :
( intersect(B_375,C_376)
| member('#skF_1'(union(B_375,C_377),C_376),C_377)
| ~ intersect(union(B_375,C_377),C_376) ),
inference(resolution,[status(thm)],[c_1110,c_106]) ).
tff(c_23926,plain,
! [C_651,C_652,B_653] :
( intersect(C_651,C_652)
| intersect(B_653,C_652)
| ~ intersect(union(B_653,C_651),C_652) ),
inference(resolution,[status(thm)],[c_11558,c_106]) ).
tff(c_24353,plain,
( intersect('#skF_9','#skF_7')
| intersect('#skF_8','#skF_7') ),
inference(resolution,[status(thm)],[c_138,c_23926]) ).
tff(c_24354,plain,
intersect('#skF_8','#skF_7'),
inference(splitLeft,[status(thm)],[c_24353]) ).
tff(c_24384,plain,
intersect('#skF_7','#skF_8'),
inference(resolution,[status(thm)],[c_24354,c_16]) ).
tff(c_24409,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_24384]) ).
tff(c_24410,plain,
intersect('#skF_9','#skF_7'),
inference(splitRight,[status(thm)],[c_24353]) ).
tff(c_24441,plain,
intersect('#skF_7','#skF_9'),
inference(resolution,[status(thm)],[c_24410,c_16]) ).
tff(c_24466,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95,c_24441]) ).
tff(c_24467,plain,
( intersect('#skF_4','#skF_5')
| intersect('#skF_4','#skF_6') ),
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_24469,plain,
intersect('#skF_4','#skF_6'),
inference(splitLeft,[status(thm)],[c_24467]) ).
tff(c_6,plain,
! [D_3,B_1,C_2] :
( ~ member(D_3,B_1)
| member(D_3,union(B_1,C_2)) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_24502,plain,
! [B_657,B_658,C_659,D_660] :
( intersect(B_657,union(B_658,C_659))
| ~ member(D_660,B_657)
| ~ member(D_660,B_658) ),
inference(resolution,[status(thm)],[c_6,c_96]) ).
tff(c_24698,plain,
! [B_683,B_684,C_685,C_686] :
( intersect(B_683,union(B_684,C_685))
| ~ member('#skF_1'(B_683,C_686),B_684)
| ~ intersect(B_683,C_686) ),
inference(resolution,[status(thm)],[c_12,c_24502]) ).
tff(c_25340,plain,
! [B_723,C_724,C_725] :
( intersect(B_723,union(C_724,C_725))
| ~ intersect(B_723,C_724) ),
inference(resolution,[status(thm)],[c_10,c_24698]) ).
tff(c_38,plain,
( ~ intersect('#skF_4',union('#skF_5','#skF_6'))
| intersect('#skF_7',union('#skF_8','#skF_9')) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_43,plain,
( ~ intersect('#skF_4',union('#skF_6','#skF_5'))
| intersect('#skF_7',union('#skF_8','#skF_9')) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_38]) ).
tff(c_109,plain,
~ intersect('#skF_4',union('#skF_6','#skF_5')),
inference(splitLeft,[status(thm)],[c_43]) ).
tff(c_25352,plain,
~ intersect('#skF_4','#skF_6'),
inference(resolution,[status(thm)],[c_25340,c_109]) ).
tff(c_25368,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24469,c_25352]) ).
tff(c_25369,plain,
intersect('#skF_4','#skF_5'),
inference(splitRight,[status(thm)],[c_24467]) ).
tff(c_25373,plain,
intersect('#skF_5','#skF_4'),
inference(resolution,[status(thm)],[c_25369,c_16]) ).
tff(c_4,plain,
! [D_3,C_2,B_1] :
( ~ member(D_3,C_2)
| member(D_3,union(B_1,C_2)) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_25554,plain,
! [B_749,B_750,C_751,D_752] :
( intersect(B_749,union(B_750,C_751))
| ~ member(D_752,B_749)
| ~ member(D_752,C_751) ),
inference(resolution,[status(thm)],[c_4,c_96]) ).
tff(c_25621,plain,
! [C_760,B_761,C_762,B_763] :
( intersect(C_760,union(B_761,C_762))
| ~ member('#skF_1'(B_763,C_760),C_762)
| ~ intersect(B_763,C_760) ),
inference(resolution,[status(thm)],[c_10,c_25554]) ).
tff(c_25636,plain,
! [C_764,B_765,B_766] :
( intersect(C_764,union(B_765,B_766))
| ~ intersect(B_766,C_764) ),
inference(resolution,[status(thm)],[c_12,c_25621]) ).
tff(c_25646,plain,
~ intersect('#skF_5','#skF_4'),
inference(resolution,[status(thm)],[c_25636,c_109]) ).
tff(c_25661,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_25373,c_25646]) ).
tff(c_25662,plain,
intersect('#skF_7',union('#skF_8','#skF_9')),
inference(splitRight,[status(thm)],[c_43]) ).
tff(c_25670,plain,
! [D_767,C_768,B_769] :
( member(D_767,C_768)
| member(D_767,B_769)
| ~ member(D_767,union(B_769,C_768)) ),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_26781,plain,
! [B_851,B_852,C_853] :
( member('#skF_1'(B_851,union(B_852,C_853)),C_853)
| member('#skF_1'(B_851,union(B_852,C_853)),B_852)
| ~ intersect(B_851,union(B_852,C_853)) ),
inference(resolution,[status(thm)],[c_10,c_25670]) ).
tff(c_105,plain,
! [B_32,B_4,C_5] :
( intersect(B_32,B_4)
| ~ member('#skF_1'(B_4,C_5),B_32)
| ~ intersect(B_4,C_5) ),
inference(resolution,[status(thm)],[c_12,c_96]) ).
tff(c_34515,plain,
! [C_1086,B_1087,B_1088] :
( intersect(C_1086,B_1087)
| member('#skF_1'(B_1087,union(B_1088,C_1086)),B_1088)
| ~ intersect(B_1087,union(B_1088,C_1086)) ),
inference(resolution,[status(thm)],[c_26781,c_105]) ).
tff(c_72567,plain,
! [B_1825,B_1826,C_1827] :
( intersect(B_1825,B_1826)
| intersect(C_1827,B_1826)
| ~ intersect(B_1826,union(B_1825,C_1827)) ),
inference(resolution,[status(thm)],[c_34515,c_105]) ).
tff(c_73299,plain,
( intersect('#skF_8','#skF_7')
| intersect('#skF_9','#skF_7') ),
inference(resolution,[status(thm)],[c_25662,c_72567]) ).
tff(c_73574,plain,
intersect('#skF_9','#skF_7'),
inference(splitLeft,[status(thm)],[c_73299]) ).
tff(c_73604,plain,
intersect('#skF_7','#skF_9'),
inference(resolution,[status(thm)],[c_73574,c_16]) ).
tff(c_73629,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95,c_73604]) ).
tff(c_73630,plain,
intersect('#skF_8','#skF_7'),
inference(splitRight,[status(thm)],[c_73299]) ).
tff(c_73661,plain,
intersect('#skF_7','#skF_8'),
inference(resolution,[status(thm)],[c_73630,c_16]) ).
tff(c_73686,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92,c_73661]) ).
tff(c_73688,plain,
intersect('#skF_7','#skF_9'),
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_32,plain,
( intersect('#skF_4','#skF_6')
| intersect('#skF_4','#skF_5')
| ~ intersect('#skF_7','#skF_9') ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_73697,plain,
( intersect('#skF_4','#skF_6')
| intersect('#skF_4','#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_73688,c_32]) ).
tff(c_73698,plain,
intersect('#skF_4','#skF_5'),
inference(splitLeft,[status(thm)],[c_73697]) ).
tff(c_73701,plain,
intersect('#skF_5','#skF_4'),
inference(resolution,[status(thm)],[c_73698,c_16]) ).
tff(c_73706,plain,
! [B_1831,C_1832,D_1833] :
( intersect(B_1831,C_1832)
| ~ member(D_1833,C_1832)
| ~ member(D_1833,B_1831) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_73745,plain,
! [B_1837,C_1838,B_1839] :
( intersect(B_1837,C_1838)
| ~ member('#skF_1'(B_1839,C_1838),B_1837)
| ~ intersect(B_1839,C_1838) ),
inference(resolution,[status(thm)],[c_10,c_73706]) ).
tff(c_74004,plain,
! [B_1866,C_1867,C_1868,B_1869] :
( intersect(union(B_1866,C_1867),C_1868)
| ~ intersect(B_1869,C_1868)
| ~ member('#skF_1'(B_1869,C_1868),C_1867) ),
inference(resolution,[status(thm)],[c_4,c_73745]) ).
tff(c_74019,plain,
! [B_1870,B_1871,C_1872] :
( intersect(union(B_1870,B_1871),C_1872)
| ~ intersect(B_1871,C_1872) ),
inference(resolution,[status(thm)],[c_12,c_74004]) ).
tff(c_75709,plain,
! [C_1945,B_1946,B_1947] :
( intersect(C_1945,union(B_1946,B_1947))
| ~ intersect(B_1947,C_1945) ),
inference(resolution,[status(thm)],[c_74019,c_16]) ).
tff(c_73687,plain,
~ intersect('#skF_4',union('#skF_6','#skF_5')),
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_75718,plain,
~ intersect('#skF_5','#skF_4'),
inference(resolution,[status(thm)],[c_75709,c_73687]) ).
tff(c_75733,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_73701,c_75718]) ).
tff(c_75734,plain,
intersect('#skF_4','#skF_6'),
inference(splitRight,[status(thm)],[c_73697]) ).
tff(c_75738,plain,
intersect('#skF_6','#skF_4'),
inference(resolution,[status(thm)],[c_75734,c_16]) ).
tff(c_75745,plain,
! [B_1948,C_1949,D_1950] :
( intersect(B_1948,C_1949)
| ~ member(D_1950,C_1949)
| ~ member(D_1950,B_1948) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_75937,plain,
! [B_1974,C_1975,B_1976] :
( intersect(B_1974,C_1975)
| ~ member('#skF_1'(B_1976,C_1975),B_1974)
| ~ intersect(B_1976,C_1975) ),
inference(resolution,[status(thm)],[c_10,c_75745]) ).
tff(c_76088,plain,
! [B_1993,C_1994,C_1995,B_1996] :
( intersect(union(B_1993,C_1994),C_1995)
| ~ intersect(B_1996,C_1995)
| ~ member('#skF_1'(B_1996,C_1995),C_1994) ),
inference(resolution,[status(thm)],[c_4,c_75937]) ).
tff(c_76103,plain,
! [B_1997,B_1998,C_1999] :
( intersect(union(B_1997,B_1998),C_1999)
| ~ intersect(B_1998,C_1999) ),
inference(resolution,[status(thm)],[c_12,c_76088]) ).
tff(c_77888,plain,
! [C_2075,B_2076,C_2077] :
( intersect(union(C_2075,B_2076),C_2077)
| ~ intersect(C_2075,C_2077) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_76103]) ).
tff(c_77954,plain,
! [C_2081,C_2082,B_2083] :
( intersect(C_2081,union(C_2082,B_2083))
| ~ intersect(C_2082,C_2081) ),
inference(resolution,[status(thm)],[c_77888,c_16]) ).
tff(c_77963,plain,
~ intersect('#skF_6','#skF_4'),
inference(resolution,[status(thm)],[c_77954,c_73687]) ).
tff(c_77978,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_75738,c_77963]) ).
tff(c_77980,plain,
intersect('#skF_7','#skF_8'),
inference(splitRight,[status(thm)],[c_41]) ).
tff(c_36,plain,
( intersect('#skF_4','#skF_6')
| intersect('#skF_4','#skF_5')
| ~ intersect('#skF_7','#skF_8') ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_77992,plain,
( intersect('#skF_4','#skF_6')
| intersect('#skF_4','#skF_5') ),
inference(demodulation,[status(thm),theory(equality)],[c_77980,c_36]) ).
tff(c_77993,plain,
intersect('#skF_4','#skF_5'),
inference(splitLeft,[status(thm)],[c_77992]) ).
tff(c_77997,plain,
intersect('#skF_5','#skF_4'),
inference(resolution,[status(thm)],[c_77993,c_16]) ).
tff(c_78009,plain,
! [B_2088,C_2089,D_2090] :
( intersect(B_2088,C_2089)
| ~ member(D_2090,C_2089)
| ~ member(D_2090,B_2088) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_78048,plain,
! [B_2094,C_2095,B_2096] :
( intersect(B_2094,C_2095)
| ~ member('#skF_1'(B_2096,C_2095),B_2094)
| ~ intersect(B_2096,C_2095) ),
inference(resolution,[status(thm)],[c_10,c_78009]) ).
tff(c_78415,plain,
! [B_2141,C_2142,C_2143,B_2144] :
( intersect(union(B_2141,C_2142),C_2143)
| ~ intersect(B_2144,C_2143)
| ~ member('#skF_1'(B_2144,C_2143),C_2142) ),
inference(resolution,[status(thm)],[c_4,c_78048]) ).
tff(c_78430,plain,
! [B_2145,B_2146,C_2147] :
( intersect(union(B_2145,B_2146),C_2147)
| ~ intersect(B_2146,C_2147) ),
inference(resolution,[status(thm)],[c_12,c_78415]) ).
tff(c_80357,plain,
! [C_2222,B_2223,B_2224] :
( intersect(C_2222,union(B_2223,B_2224))
| ~ intersect(B_2224,C_2222) ),
inference(resolution,[status(thm)],[c_78430,c_16]) ).
tff(c_77979,plain,
~ intersect('#skF_4',union('#skF_6','#skF_5')),
inference(splitRight,[status(thm)],[c_41]) ).
tff(c_80366,plain,
~ intersect('#skF_5','#skF_4'),
inference(resolution,[status(thm)],[c_80357,c_77979]) ).
tff(c_80381,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_77997,c_80366]) ).
tff(c_80382,plain,
intersect('#skF_4','#skF_6'),
inference(splitRight,[status(thm)],[c_77992]) ).
tff(c_80387,plain,
! [B_2225,C_2226,D_2227] :
( intersect(B_2225,C_2226)
| ~ member(D_2227,C_2226)
| ~ member(D_2227,B_2225) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_80585,plain,
! [B_2249,B_2250,C_2251] :
( intersect(B_2249,B_2250)
| ~ member('#skF_1'(B_2250,C_2251),B_2249)
| ~ intersect(B_2250,C_2251) ),
inference(resolution,[status(thm)],[c_12,c_80387]) ).
tff(c_80690,plain,
! [B_2260,C_2261,B_2262,C_2263] :
( intersect(union(B_2260,C_2261),B_2262)
| ~ intersect(B_2262,C_2263)
| ~ member('#skF_1'(B_2262,C_2263),C_2261) ),
inference(resolution,[status(thm)],[c_4,c_80585]) ).
tff(c_82356,plain,
! [B_2339,C_2340,B_2341] :
( intersect(union(B_2339,C_2340),B_2341)
| ~ intersect(B_2341,C_2340) ),
inference(resolution,[status(thm)],[c_10,c_80690]) ).
tff(c_82375,plain,
! [B_2342,B_2343,C_2344] :
( intersect(B_2342,union(B_2343,C_2344))
| ~ intersect(B_2342,C_2344) ),
inference(resolution,[status(thm)],[c_82356,c_16]) ).
tff(c_82457,plain,
! [B_2350,B_2351,C_2352] :
( intersect(B_2350,union(B_2351,C_2352))
| ~ intersect(B_2350,B_2351) ),
inference(superposition,[status(thm),theory(equality)],[c_14,c_82375]) ).
tff(c_82466,plain,
~ intersect('#skF_4','#skF_6'),
inference(resolution,[status(thm)],[c_82457,c_77979]) ).
tff(c_82481,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_80382,c_82466]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET624+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
% 0.18/0.35 % Computer : n014.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Thu Aug 3 16:41:18 EDT 2023
% 0.18/0.35 % CPUTime :
% 22.64/10.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.98/10.99
% 22.98/10.99 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 22.98/11.05
% 22.98/11.05 Inference rules
% 22.98/11.05 ----------------------
% 22.98/11.05 #Ref : 0
% 22.98/11.05 #Sup : 20013
% 22.98/11.05 #Fact : 78
% 22.98/11.05 #Define : 0
% 22.98/11.05 #Split : 12
% 22.98/11.05 #Chain : 0
% 22.98/11.05 #Close : 0
% 22.98/11.05
% 22.98/11.05 Ordering : KBO
% 22.98/11.05
% 22.98/11.05 Simplification rules
% 22.98/11.05 ----------------------
% 22.98/11.05 #Subsume : 868
% 22.98/11.05 #Demod : 9785
% 22.98/11.05 #Tautology : 9997
% 22.98/11.05 #SimpNegUnit : 7
% 22.98/11.05 #BackRed : 0
% 22.98/11.05
% 22.98/11.05 #Partial instantiations: 0
% 22.98/11.05 #Strategies tried : 1
% 22.98/11.05
% 22.98/11.05 Timing (in seconds)
% 22.98/11.05 ----------------------
% 22.98/11.05 Preprocessing : 0.47
% 22.98/11.05 Parsing : 0.25
% 22.98/11.05 CNF conversion : 0.04
% 22.98/11.05 Main loop : 9.47
% 22.98/11.05 Inferencing : 1.52
% 22.98/11.05 Reduction : 4.14
% 22.98/11.05 Demodulation : 3.62
% 22.98/11.05 BG Simplification : 0.11
% 22.98/11.05 Subsumption : 2.74
% 22.98/11.05 Abstraction : 0.16
% 22.98/11.05 MUC search : 0.00
% 22.98/11.05 Cooper : 0.00
% 22.98/11.05 Total : 10.05
% 23.28/11.05 Index Insertion : 0.00
% 23.28/11.05 Index Deletion : 0.00
% 23.28/11.05 Index Matching : 0.00
% 23.28/11.05 BG Taut test : 0.00
%------------------------------------------------------------------------------