TSTP Solution File: SET960+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET960+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n021.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 10:57:25 EDT 2023
% Result : Theorem 4.27s 2.18s
% Output : CNFRefutation 4.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 23
% Syntax : Number of formulae : 129 ( 72 unt; 20 typ; 0 def)
% Number of atoms : 158 ( 79 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 115 ( 66 ~; 43 |; 2 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 31 ( 13 >; 18 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-4 aty)
% Number of variables : 90 (; 88 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ in > empty > unordered_pair > ordered_pair > cartesian_product2 > #nlpp > singleton > empty_set > #skF_11 > #skF_1 > #skF_4 > #skF_10 > #skF_13 > #skF_5 > #skF_2 > #skF_7 > #skF_6 > #skF_9 > #skF_8 > #skF_3 > #skF_12
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(singleton,type,
singleton: $i > $i ).
tff('#skF_11',type,
'#skF_11': $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_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_13',type,
'#skF_13': $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i * $i ) > $i ).
tff(empty,type,
empty: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(empty_set,type,
empty_set: $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff(cartesian_product2,type,
cartesian_product2: ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': $i ).
tff(f_39,axiom,
! [A] :
( ( A = empty_set )
<=> ! [B] : ~ in(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
tff(f_69,negated_conjecture,
~ ! [A,B] :
( ( cartesian_product2(A,B) = empty_set )
<=> ( ( A = empty_set )
| ( B = empty_set ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t113_zfmisc_1) ).
tff(f_51,axiom,
! [A,B,C] :
( ( C = cartesian_product2(A,B) )
<=> ! [D] :
( in(D,C)
<=> ? [E,F] :
( in(E,A)
& in(F,B)
& ( D = ordered_pair(E,F) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1) ).
tff(c_8,plain,
! [A_5] :
( ( empty_set = A_5 )
| in('#skF_1'(A_5),A_5) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_6,plain,
! [B_8] : ~ in(B_8,empty_set),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_44,plain,
( ( cartesian_product2('#skF_10','#skF_11') != empty_set )
| ( empty_set != '#skF_13' ) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_58,plain,
empty_set != '#skF_13',
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_48,plain,
( ( cartesian_product2('#skF_10','#skF_11') != empty_set )
| ( empty_set != '#skF_12' ) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_57,plain,
empty_set != '#skF_12',
inference(splitLeft,[status(thm)],[c_48]) ).
tff(c_54,plain,
( ( empty_set = '#skF_11' )
| ( empty_set = '#skF_10' )
| ( cartesian_product2('#skF_12','#skF_13') = empty_set ) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_105,plain,
cartesian_product2('#skF_12','#skF_13') = empty_set,
inference(splitLeft,[status(thm)],[c_54]) ).
tff(c_230,plain,
! [E_62,F_63,A_64,B_65] :
( in(ordered_pair(E_62,F_63),cartesian_product2(A_64,B_65))
| ~ in(F_63,B_65)
| ~ in(E_62,A_64) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_235,plain,
! [E_62,F_63] :
( in(ordered_pair(E_62,F_63),empty_set)
| ~ in(F_63,'#skF_13')
| ~ in(E_62,'#skF_12') ),
inference(superposition,[status(thm),theory(equality)],[c_105,c_230]) ).
tff(c_237,plain,
! [F_63,E_62] :
( ~ in(F_63,'#skF_13')
| ~ in(E_62,'#skF_12') ),
inference(negUnitSimplification,[status(thm)],[c_6,c_235]) ).
tff(c_239,plain,
! [E_66] : ~ in(E_66,'#skF_12'),
inference(splitLeft,[status(thm)],[c_237]) ).
tff(c_243,plain,
empty_set = '#skF_12',
inference(resolution,[status(thm)],[c_8,c_239]) ).
tff(c_247,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57,c_243]) ).
tff(c_249,plain,
! [F_67] : ~ in(F_67,'#skF_13'),
inference(splitRight,[status(thm)],[c_237]) ).
tff(c_253,plain,
empty_set = '#skF_13',
inference(resolution,[status(thm)],[c_8,c_249]) ).
tff(c_257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58,c_253]) ).
tff(c_258,plain,
( ( empty_set = '#skF_10' )
| ( empty_set = '#skF_11' ) ),
inference(splitRight,[status(thm)],[c_54]) ).
tff(c_260,plain,
empty_set = '#skF_11',
inference(splitLeft,[status(thm)],[c_258]) ).
tff(c_263,plain,
! [A_5] :
( ( A_5 = '#skF_11' )
| in('#skF_1'(A_5),A_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_260,c_8]) ).
tff(c_506,plain,
! [A_89,B_90,D_91] :
( in('#skF_7'(A_89,B_90,cartesian_product2(A_89,B_90),D_91),B_90)
| ~ in(D_91,cartesian_product2(A_89,B_90)) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_266,plain,
! [B_8] : ~ in(B_8,'#skF_11'),
inference(demodulation,[status(thm),theory(equality)],[c_260,c_6]) ).
tff(c_519,plain,
! [D_92,A_93] : ~ in(D_92,cartesian_product2(A_93,'#skF_11')),
inference(resolution,[status(thm)],[c_506,c_266]) ).
tff(c_542,plain,
! [A_93] : ( cartesian_product2(A_93,'#skF_11') = '#skF_11' ),
inference(resolution,[status(thm)],[c_263,c_519]) ).
tff(c_52,plain,
( ( cartesian_product2('#skF_10','#skF_11') != empty_set )
| ( cartesian_product2('#skF_12','#skF_13') = empty_set ) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_104,plain,
cartesian_product2('#skF_10','#skF_11') != empty_set,
inference(splitLeft,[status(thm)],[c_52]) ).
tff(c_261,plain,
cartesian_product2('#skF_10','#skF_11') != '#skF_11',
inference(demodulation,[status(thm),theory(equality)],[c_260,c_104]) ).
tff(c_546,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_542,c_261]) ).
tff(c_547,plain,
empty_set = '#skF_10',
inference(splitRight,[status(thm)],[c_258]) ).
tff(c_553,plain,
! [A_5] :
( ( A_5 = '#skF_10' )
| in('#skF_1'(A_5),A_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_547,c_8]) ).
tff(c_699,plain,
! [A_107,B_108,D_109] :
( in('#skF_6'(A_107,B_108,cartesian_product2(A_107,B_108),D_109),A_107)
| ~ in(D_109,cartesian_product2(A_107,B_108)) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_556,plain,
! [B_8] : ~ in(B_8,'#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_547,c_6]) ).
tff(c_708,plain,
! [D_110,B_111] : ~ in(D_110,cartesian_product2('#skF_10',B_111)),
inference(resolution,[status(thm)],[c_699,c_556]) ).
tff(c_723,plain,
! [B_111] : ( cartesian_product2('#skF_10',B_111) = '#skF_10' ),
inference(resolution,[status(thm)],[c_553,c_708]) ).
tff(c_551,plain,
cartesian_product2('#skF_10','#skF_11') != '#skF_10',
inference(demodulation,[status(thm),theory(equality)],[c_547,c_104]) ).
tff(c_727,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_723,c_551]) ).
tff(c_729,plain,
cartesian_product2('#skF_10','#skF_11') = empty_set,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_857,plain,
! [E_118,F_119,A_120,B_121] :
( in(ordered_pair(E_118,F_119),cartesian_product2(A_120,B_121))
| ~ in(F_119,B_121)
| ~ in(E_118,A_120) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_862,plain,
! [E_118,F_119] :
( in(ordered_pair(E_118,F_119),empty_set)
| ~ in(F_119,'#skF_11')
| ~ in(E_118,'#skF_10') ),
inference(superposition,[status(thm),theory(equality)],[c_729,c_857]) ).
tff(c_867,plain,
! [F_119,E_118] :
( ~ in(F_119,'#skF_11')
| ~ in(E_118,'#skF_10') ),
inference(negUnitSimplification,[status(thm)],[c_6,c_862]) ).
tff(c_870,plain,
! [E_122] : ~ in(E_122,'#skF_10'),
inference(splitLeft,[status(thm)],[c_867]) ).
tff(c_875,plain,
empty_set = '#skF_10',
inference(resolution,[status(thm)],[c_8,c_870]) ).
tff(c_880,plain,
'#skF_10' != '#skF_13',
inference(demodulation,[status(thm),theory(equality)],[c_875,c_58]) ).
tff(c_1075,plain,
! [A_146] :
( ( A_146 = '#skF_10' )
| in('#skF_1'(A_146),A_146) ),
inference(demodulation,[status(thm),theory(equality)],[c_875,c_8]) ).
tff(c_881,plain,
'#skF_10' != '#skF_12',
inference(demodulation,[status(thm),theory(equality)],[c_875,c_57]) ).
tff(c_951,plain,
! [A_132] :
( ( A_132 = '#skF_10' )
| in('#skF_1'(A_132),A_132) ),
inference(demodulation,[status(thm),theory(equality)],[c_875,c_8]) ).
tff(c_728,plain,
cartesian_product2('#skF_12','#skF_13') = empty_set,
inference(splitRight,[status(thm)],[c_52]) ).
tff(c_865,plain,
! [E_118,F_119] :
( in(ordered_pair(E_118,F_119),empty_set)
| ~ in(F_119,'#skF_13')
| ~ in(E_118,'#skF_12') ),
inference(superposition,[status(thm),theory(equality)],[c_728,c_857]) ).
tff(c_868,plain,
! [F_119,E_118] :
( ~ in(F_119,'#skF_13')
| ~ in(E_118,'#skF_12') ),
inference(negUnitSimplification,[status(thm)],[c_6,c_865]) ).
tff(c_921,plain,
! [E_118] : ~ in(E_118,'#skF_12'),
inference(splitLeft,[status(thm)],[c_868]) ).
tff(c_963,plain,
'#skF_10' = '#skF_12',
inference(resolution,[status(thm)],[c_951,c_921]) ).
tff(c_975,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_881,c_963]) ).
tff(c_976,plain,
! [F_119] : ~ in(F_119,'#skF_13'),
inference(splitRight,[status(thm)],[c_868]) ).
tff(c_1095,plain,
'#skF_10' = '#skF_13',
inference(resolution,[status(thm)],[c_1075,c_976]) ).
tff(c_1109,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_880,c_1095]) ).
tff(c_1111,plain,
! [F_147] : ~ in(F_147,'#skF_11'),
inference(splitRight,[status(thm)],[c_867]) ).
tff(c_1116,plain,
empty_set = '#skF_11',
inference(resolution,[status(thm)],[c_8,c_1111]) ).
tff(c_1144,plain,
'#skF_11' != '#skF_13',
inference(demodulation,[status(thm),theory(equality)],[c_1116,c_58]) ).
tff(c_1395,plain,
! [A_176] :
( ( A_176 = '#skF_11' )
| in('#skF_1'(A_176),A_176) ),
inference(demodulation,[status(thm),theory(equality)],[c_1116,c_8]) ).
tff(c_1145,plain,
'#skF_11' != '#skF_12',
inference(demodulation,[status(thm),theory(equality)],[c_1116,c_57]) ).
tff(c_1276,plain,
! [A_164] :
( ( A_164 = '#skF_11' )
| in('#skF_1'(A_164),A_164) ),
inference(demodulation,[status(thm),theory(equality)],[c_1116,c_8]) ).
tff(c_1191,plain,
! [E_118] : ~ in(E_118,'#skF_12'),
inference(splitLeft,[status(thm)],[c_868]) ).
tff(c_1292,plain,
'#skF_11' = '#skF_12',
inference(resolution,[status(thm)],[c_1276,c_1191]) ).
tff(c_1309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1145,c_1292]) ).
tff(c_1310,plain,
! [F_119] : ~ in(F_119,'#skF_13'),
inference(splitRight,[status(thm)],[c_868]) ).
tff(c_1411,plain,
'#skF_11' = '#skF_13',
inference(resolution,[status(thm)],[c_1395,c_1310]) ).
tff(c_1428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1144,c_1411]) ).
tff(c_1430,plain,
empty_set = '#skF_13',
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_1744,plain,
! [A_5] :
( ( A_5 = '#skF_13' )
| in('#skF_1'(A_5),A_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_1430,c_8]) ).
tff(c_1883,plain,
! [A_217,B_218,D_219] :
( in('#skF_7'(A_217,B_218,cartesian_product2(A_217,B_218),D_219),B_218)
| ~ in(D_219,cartesian_product2(A_217,B_218)) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_1432,plain,
! [B_8] : ~ in(B_8,'#skF_13'),
inference(demodulation,[status(thm),theory(equality)],[c_1430,c_6]) ).
tff(c_1892,plain,
! [D_220,A_221] : ~ in(D_220,cartesian_product2(A_221,'#skF_13')),
inference(resolution,[status(thm)],[c_1883,c_1432]) ).
tff(c_1907,plain,
! [A_221] : ( cartesian_product2(A_221,'#skF_13') = '#skF_13' ),
inference(resolution,[status(thm)],[c_1744,c_1892]) ).
tff(c_1449,plain,
! [A_5] :
( ( A_5 = '#skF_13' )
| in('#skF_1'(A_5),A_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_1430,c_8]) ).
tff(c_1673,plain,
! [A_196,B_197,D_198] :
( in('#skF_6'(A_196,B_197,cartesian_product2(A_196,B_197),D_198),A_196)
| ~ in(D_198,cartesian_product2(A_196,B_197)) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_1682,plain,
! [D_199,B_200] : ~ in(D_199,cartesian_product2('#skF_13',B_200)),
inference(resolution,[status(thm)],[c_1673,c_1432]) ).
tff(c_1697,plain,
! [B_200] : ( cartesian_product2('#skF_13',B_200) = '#skF_13' ),
inference(resolution,[status(thm)],[c_1449,c_1682]) ).
tff(c_46,plain,
( ( empty_set = '#skF_11' )
| ( empty_set = '#skF_10' )
| ( empty_set != '#skF_13' ) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_1441,plain,
( ( '#skF_11' = '#skF_13' )
| ( '#skF_10' = '#skF_13' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1430,c_1430,c_1430,c_46]) ).
tff(c_1442,plain,
'#skF_10' = '#skF_13',
inference(splitLeft,[status(thm)],[c_1441]) ).
tff(c_1429,plain,
cartesian_product2('#skF_10','#skF_11') != empty_set,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_1439,plain,
cartesian_product2('#skF_10','#skF_11') != '#skF_13',
inference(demodulation,[status(thm),theory(equality)],[c_1430,c_1429]) ).
tff(c_1443,plain,
cartesian_product2('#skF_13','#skF_11') != '#skF_13',
inference(demodulation,[status(thm),theory(equality)],[c_1442,c_1439]) ).
tff(c_1701,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1697,c_1443]) ).
tff(c_1702,plain,
'#skF_11' = '#skF_13',
inference(splitRight,[status(thm)],[c_1441]) ).
tff(c_1704,plain,
cartesian_product2('#skF_10','#skF_13') != '#skF_13',
inference(demodulation,[status(thm),theory(equality)],[c_1702,c_1439]) ).
tff(c_1911,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1907,c_1704]) ).
tff(c_1913,plain,
empty_set = '#skF_12',
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_2173,plain,
! [A_5] :
( ( A_5 = '#skF_12' )
| in('#skF_1'(A_5),A_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_1913,c_8]) ).
tff(c_2412,plain,
! [A_269,B_270,D_271] :
( in('#skF_7'(A_269,B_270,cartesian_product2(A_269,B_270),D_271),B_270)
| ~ in(D_271,cartesian_product2(A_269,B_270)) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_1914,plain,
! [B_8] : ~ in(B_8,'#skF_12'),
inference(demodulation,[status(thm),theory(equality)],[c_1913,c_6]) ).
tff(c_2425,plain,
! [D_272,A_273] : ~ in(D_272,cartesian_product2(A_273,'#skF_12')),
inference(resolution,[status(thm)],[c_2412,c_1914]) ).
tff(c_2448,plain,
! [A_273] : ( cartesian_product2(A_273,'#skF_12') = '#skF_12' ),
inference(resolution,[status(thm)],[c_2173,c_2425]) ).
tff(c_1964,plain,
! [A_5] :
( ( A_5 = '#skF_12' )
| in('#skF_1'(A_5),A_5) ),
inference(demodulation,[status(thm),theory(equality)],[c_1913,c_8]) ).
tff(c_2103,plain,
! [A_239,B_240,D_241] :
( in('#skF_6'(A_239,B_240,cartesian_product2(A_239,B_240),D_241),A_239)
| ~ in(D_241,cartesian_product2(A_239,B_240)) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_2112,plain,
! [D_242,B_243] : ~ in(D_242,cartesian_product2('#skF_12',B_243)),
inference(resolution,[status(thm)],[c_2103,c_1914]) ).
tff(c_2127,plain,
! [B_243] : ( cartesian_product2('#skF_12',B_243) = '#skF_12' ),
inference(resolution,[status(thm)],[c_1964,c_2112]) ).
tff(c_50,plain,
( ( empty_set = '#skF_11' )
| ( empty_set = '#skF_10' )
| ( empty_set != '#skF_12' ) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_1921,plain,
( ( '#skF_11' = '#skF_12' )
| ( '#skF_10' = '#skF_12' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1913,c_1913,c_1913,c_50]) ).
tff(c_1922,plain,
'#skF_10' = '#skF_12',
inference(splitLeft,[status(thm)],[c_1921]) ).
tff(c_1912,plain,
cartesian_product2('#skF_10','#skF_11') != empty_set,
inference(splitRight,[status(thm)],[c_48]) ).
tff(c_1928,plain,
cartesian_product2('#skF_12','#skF_11') != '#skF_12',
inference(demodulation,[status(thm),theory(equality)],[c_1922,c_1913,c_1912]) ).
tff(c_2131,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2127,c_1928]) ).
tff(c_2132,plain,
'#skF_11' = '#skF_12',
inference(splitRight,[status(thm)],[c_1921]) ).
tff(c_2139,plain,
cartesian_product2('#skF_10','#skF_12') != '#skF_12',
inference(demodulation,[status(thm),theory(equality)],[c_2132,c_1913,c_1912]) ).
tff(c_2452,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2448,c_2139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET960+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n021.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 16:27:21 EDT 2023
% 0.13/0.35 % CPUTime :
% 4.27/2.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.27/2.19
% 4.27/2.19 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.27/2.23
% 4.27/2.23 Inference rules
% 4.27/2.23 ----------------------
% 4.27/2.23 #Ref : 0
% 4.27/2.23 #Sup : 574
% 4.27/2.23 #Fact : 0
% 4.27/2.23 #Define : 0
% 4.27/2.23 #Split : 11
% 4.27/2.23 #Chain : 0
% 4.27/2.23 #Close : 0
% 4.27/2.23
% 4.27/2.23 Ordering : KBO
% 4.27/2.23
% 4.27/2.23 Simplification rules
% 4.27/2.23 ----------------------
% 4.27/2.23 #Subsume : 76
% 4.27/2.23 #Demod : 192
% 4.27/2.23 #Tautology : 219
% 4.27/2.23 #SimpNegUnit : 23
% 4.27/2.23 #BackRed : 53
% 4.27/2.23
% 4.27/2.23 #Partial instantiations: 0
% 4.27/2.23 #Strategies tried : 1
% 4.27/2.23
% 4.27/2.23 Timing (in seconds)
% 4.27/2.23 ----------------------
% 4.27/2.24 Preprocessing : 0.51
% 4.27/2.24 Parsing : 0.25
% 4.27/2.24 CNF conversion : 0.04
% 4.27/2.24 Main loop : 0.65
% 4.27/2.24 Inferencing : 0.24
% 4.27/2.24 Reduction : 0.19
% 4.27/2.24 Demodulation : 0.14
% 4.27/2.24 BG Simplification : 0.04
% 4.27/2.24 Subsumption : 0.12
% 4.27/2.24 Abstraction : 0.03
% 4.27/2.24 MUC search : 0.00
% 4.27/2.24 Cooper : 0.00
% 4.27/2.24 Total : 1.23
% 4.27/2.24 Index Insertion : 0.00
% 4.27/2.24 Index Deletion : 0.00
% 4.27/2.24 Index Matching : 0.00
% 4.27/2.24 BG Taut test : 0.00
%------------------------------------------------------------------------------