TSTP Solution File: PUZ078+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : PUZ078+1 : TPTP v8.1.2. Released v3.5.0.
% 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 : 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 10:54:11 EDT 2023
% Result : Theorem 7.58s 2.77s
% Output : CNFRefutation 7.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 39
% Syntax : Number of formulae : 305 ( 168 unt; 16 typ; 0 def)
% Number of atoms : 501 ( 207 equ)
% Maximal formula atoms : 21 ( 1 avg)
% Number of connectives : 433 ( 221 ~; 174 |; 26 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-1 aty)
% Number of variables : 130 (; 126 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ truthday > day3 > day2 > day1 > #nlpp > consecutive > wednesday > tuesday > thursday > sunday > saturday > monday > friday > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(truthday,type,
truthday: $i > $o ).
tff(saturday,type,
saturday: $i ).
tff(thursday,type,
thursday: $i ).
tff(day2,type,
day2: $i > $o ).
tff(day1,type,
day1: $i > $o ).
tff(day3,type,
day3: $i > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(tuesday,type,
tuesday: $i ).
tff(friday,type,
friday: $i ).
tff(consecutive,type,
consecutive: $i > $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(wednesday,type,
wednesday: $i ).
tff(monday,type,
monday: $i ).
tff(sunday,type,
sunday: $i ).
tff(f_132,axiom,
? [X] : truthday(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truth_once) ).
tff(f_134,axiom,
? [X] : day1(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day1_once) ).
tff(f_185,negated_conjecture,
~ truthday(tuesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_leo_tells_truths) ).
tff(f_163,axiom,
! [X] :
( day1(X)
=> ( truthday(X)
<=> ( ~ truthday(monday)
& ~ truthday(tuesday) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',statement1) ).
tff(f_112,axiom,
! [X,Y] :
( ( truthday(X)
& truthday(Y) )
=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truth_unique) ).
tff(f_106,axiom,
( ( monday != tuesday )
& ( monday != wednesday )
& ( monday != thursday )
& ( monday != friday )
& ( monday != saturday )
& ( monday != sunday )
& ( tuesday != wednesday )
& ( tuesday != thursday )
& ( tuesday != friday )
& ( tuesday != saturday )
& ( tuesday != sunday )
& ( wednesday != thursday )
& ( wednesday != friday )
& ( wednesday != saturday )
& ( wednesday != sunday )
& ( thursday != friday )
& ( thursday != saturday )
& ( thursday != sunday )
& ( friday != saturday )
& ( friday != sunday )
& ( saturday != sunday ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uniquenames) ).
tff(f_138,axiom,
? [X] : day3(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day3_once) ).
tff(f_183,axiom,
! [X] :
( day3(X)
=> ( truthday(X)
<=> ( ~ truthday(wednesday)
& ~ truthday(friday) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',statement3) ).
tff(f_173,axiom,
! [X] :
( day2(X)
=> ( truthday(X)
<=> ( day2(thursday)
| day2(saturday)
| day2(sunday) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',statement2) ).
tff(f_139,axiom,
consecutive(sunday) = monday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_follows_sunday) ).
tff(f_153,axiom,
! [X] :
( day2(X)
<=> day3(consecutive(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day3_follows_day2) ).
tff(f_130,axiom,
! [X,Y] :
( ( day3(X)
& day3(Y) )
=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day3_unique) ).
tff(f_136,axiom,
? [X] : day2(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day2_once) ).
tff(f_124,axiom,
! [X,Y] :
( ( day2(X)
& day2(Y) )
=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day2_unique) ).
tff(f_145,axiom,
consecutive(saturday) = sunday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_follows_saturday) ).
tff(f_149,axiom,
! [X] :
( day1(X)
<=> day2(consecutive(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day2_follows_day1) ).
tff(f_44,axiom,
! [X] :
( ( X = monday )
| ( X = tuesday )
| ( X = wednesday )
| ( X = thursday )
| ( X = friday )
| ( X = saturday )
| ( X = sunday ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',days_of_week) ).
tff(f_141,axiom,
consecutive(tuesday) = wednesday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).
tff(f_140,axiom,
consecutive(monday) = tuesday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_follows_monday) ).
tff(f_142,axiom,
consecutive(wednesday) = thursday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
tff(f_144,axiom,
consecutive(friday) = saturday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',saturday_follows_friday) ).
tff(f_118,axiom,
! [X,Y] :
( ( day1(X)
& day1(Y) )
=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day1_unique) ).
tff(f_143,axiom,
consecutive(thursday) = friday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',friday_follows_thursday) ).
tff(c_54,plain,
truthday('#skF_1'),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_56,plain,
day1('#skF_2'),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_104,plain,
~ truthday(tuesday),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_84,plain,
! [X_12] :
( truthday(X_12)
| truthday(tuesday)
| truthday(monday)
| ~ day1(X_12) ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_105,plain,
! [X_12] :
( truthday(X_12)
| truthday(monday)
| ~ day1(X_12) ),
inference(negUnitSimplification,[status(thm)],[c_104,c_84]) ).
tff(c_106,plain,
truthday(monday),
inference(splitLeft,[status(thm)],[c_105]) ).
tff(c_244,plain,
! [Y_19,X_20] :
( ( Y_19 = X_20 )
| ~ truthday(Y_19)
| ~ truthday(X_20) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_264,plain,
! [X_23] :
( ( monday = X_23 )
| ~ truthday(X_23) ),
inference(resolution,[status(thm)],[c_106,c_244]) ).
tff(c_271,plain,
monday = '#skF_1',
inference(resolution,[status(thm)],[c_54,c_264]) ).
tff(c_42,plain,
wednesday != monday,
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_280,plain,
wednesday != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_271,c_42]) ).
tff(c_38,plain,
monday != friday,
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_284,plain,
friday != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_271,c_38]) ).
tff(c_60,plain,
day3('#skF_4'),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_102,plain,
! [X_14] :
( ~ truthday(wednesday)
| ~ truthday(X_14)
| ~ day3(X_14) ),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_337,plain,
~ truthday(wednesday),
inference(splitLeft,[status(thm)],[c_102]) ).
tff(c_100,plain,
! [X_14] :
( ~ truthday(friday)
| ~ truthday(X_14)
| ~ day3(X_14) ),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_338,plain,
~ truthday(friday),
inference(splitLeft,[status(thm)],[c_100]) ).
tff(c_98,plain,
! [X_14] :
( truthday(X_14)
| truthday(friday)
| truthday(wednesday)
| ~ day3(X_14) ),
inference(cnfTransformation,[status(thm)],[f_183]) ).
tff(c_451,plain,
! [X_35] :
( truthday(X_35)
| ~ day3(X_35) ),
inference(negUnitSimplification,[status(thm)],[c_337,c_338,c_98]) ).
tff(c_250,plain,
! [X_20] :
( ( monday = X_20 )
| ~ truthday(X_20) ),
inference(resolution,[status(thm)],[c_106,c_244]) ).
tff(c_274,plain,
! [X_20] :
( ( X_20 = '#skF_1' )
| ~ truthday(X_20) ),
inference(demodulation,[status(thm),theory(equality)],[c_271,c_250]) ).
tff(c_484,plain,
! [X_37] :
( ( X_37 = '#skF_1' )
| ~ day3(X_37) ),
inference(resolution,[status(thm)],[c_451,c_274]) ).
tff(c_492,plain,
'#skF_1' = '#skF_4',
inference(resolution,[status(thm)],[c_60,c_484]) ).
tff(c_92,plain,
! [X_13] :
( ~ day2(sunday)
| truthday(X_13)
| ~ day2(X_13) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_243,plain,
~ day2(sunday),
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_62,plain,
consecutive(sunday) = monday,
inference(cnfTransformation,[status(thm)],[f_139]) ).
tff(c_277,plain,
consecutive(sunday) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_271,c_62]) ).
tff(c_82,plain,
! [X_11] :
( day2(X_11)
| ~ day3(consecutive(X_11)) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_331,plain,
( day2(sunday)
| ~ day3('#skF_1') ),
inference(superposition,[status(thm),theory(equality)],[c_277,c_82]) ).
tff(c_335,plain,
~ day3('#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_243,c_331]) ).
tff(c_494,plain,
~ day3('#skF_4'),
inference(demodulation,[status(thm),theory(equality)],[c_492,c_335]) ).
tff(c_510,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60,c_494]) ).
tff(c_512,plain,
truthday(friday),
inference(splitRight,[status(thm)],[c_100]) ).
tff(c_515,plain,
friday = '#skF_1',
inference(resolution,[status(thm)],[c_512,c_274]) ).
tff(c_521,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_284,c_515]) ).
tff(c_523,plain,
truthday(wednesday),
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_526,plain,
wednesday = '#skF_1',
inference(resolution,[status(thm)],[c_523,c_274]) ).
tff(c_532,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_280,c_526]) ).
tff(c_534,plain,
day2(sunday),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_540,plain,
! [Y_39,X_40] :
( ( Y_39 = X_40 )
| ~ truthday(Y_39)
| ~ truthday(X_40) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_551,plain,
! [X_41] :
( ( X_41 = '#skF_1' )
| ~ truthday(X_41) ),
inference(resolution,[status(thm)],[c_54,c_540]) ).
tff(c_564,plain,
monday = '#skF_1',
inference(resolution,[status(thm)],[c_106,c_551]) ).
tff(c_566,plain,
consecutive(sunday) = '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_564,c_62]) ).
tff(c_80,plain,
! [X_11] :
( day3(consecutive(X_11))
| ~ day2(X_11) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_592,plain,
( day3('#skF_1')
| ~ day2(sunday) ),
inference(superposition,[status(thm),theory(equality)],[c_566,c_80]) ).
tff(c_603,plain,
day3('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_534,c_592]) ).
tff(c_691,plain,
! [Y_46,X_47] :
( ( Y_46 = X_47 )
| ~ day3(Y_46)
| ~ day3(X_47) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_752,plain,
! [X_50] :
( ( X_50 = '#skF_4' )
| ~ day3(X_50) ),
inference(resolution,[status(thm)],[c_60,c_691]) ).
tff(c_762,plain,
'#skF_1' = '#skF_4',
inference(resolution,[status(thm)],[c_603,c_752]) ).
tff(c_58,plain,
day2('#skF_3'),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_638,plain,
! [Y_43,X_44] :
( ( Y_43 = X_44 )
| ~ day2(Y_43)
| ~ day2(X_44) ),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_656,plain,
! [X_45] :
( ( X_45 = '#skF_3' )
| ~ day2(X_45) ),
inference(resolution,[status(thm)],[c_58,c_638]) ).
tff(c_666,plain,
sunday = '#skF_3',
inference(resolution,[status(thm)],[c_534,c_656]) ).
tff(c_34,plain,
sunday != monday,
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_571,plain,
sunday != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_564,c_34]) ).
tff(c_672,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_666,c_571]) ).
tff(c_767,plain,
'#skF_3' != '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_762,c_672]) ).
tff(c_533,plain,
! [X_13] :
( truthday(X_13)
| ~ day2(X_13) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_561,plain,
! [X_13] :
( ( X_13 = '#skF_1' )
| ~ day2(X_13) ),
inference(resolution,[status(thm)],[c_533,c_551]) ).
tff(c_1315,plain,
! [X_145] :
( ( X_145 = '#skF_4' )
| ~ day2(X_145) ),
inference(demodulation,[status(thm),theory(equality)],[c_762,c_561]) ).
tff(c_1321,plain,
'#skF_3' = '#skF_4',
inference(resolution,[status(thm)],[c_58,c_1315]) ).
tff(c_1326,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_1321]) ).
tff(c_1327,plain,
! [X_12] :
( truthday(X_12)
| ~ day1(X_12) ),
inference(splitRight,[status(thm)],[c_105]) ).
tff(c_4263,plain,
! [Y_393,X_394] :
( ( Y_393 = X_394 )
| ~ truthday(Y_393)
| ~ truthday(X_394) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_4273,plain,
! [X_396,X_395] :
( ( X_396 = X_395 )
| ~ truthday(X_395)
| ~ day1(X_396) ),
inference(resolution,[status(thm)],[c_1327,c_4263]) ).
tff(c_4334,plain,
! [X_397] :
( ( X_397 = '#skF_1' )
| ~ day1(X_397) ),
inference(resolution,[status(thm)],[c_54,c_4273]) ).
tff(c_4338,plain,
'#skF_2' = '#skF_1',
inference(resolution,[status(thm)],[c_56,c_4334]) ).
tff(c_3405,plain,
! [Y_353,X_354] :
( ( Y_353 = X_354 )
| ~ truthday(Y_353)
| ~ truthday(X_354) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_3455,plain,
! [X_356,X_355] :
( ( X_356 = X_355 )
| ~ truthday(X_355)
| ~ day1(X_356) ),
inference(resolution,[status(thm)],[c_1327,c_3405]) ).
tff(c_3478,plain,
! [X_358] :
( ( X_358 = '#skF_1' )
| ~ day1(X_358) ),
inference(resolution,[status(thm)],[c_54,c_3455]) ).
tff(c_3482,plain,
'#skF_2' = '#skF_1',
inference(resolution,[status(thm)],[c_56,c_3478]) ).
tff(c_3090,plain,
! [Y_335,X_336] :
( ( Y_335 = X_336 )
| ~ truthday(Y_335)
| ~ truthday(X_336) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_3171,plain,
! [X_340] :
( ( X_340 = '#skF_1' )
| ~ truthday(X_340) ),
inference(resolution,[status(thm)],[c_54,c_3090]) ).
tff(c_3185,plain,
! [X_341] :
( ( X_341 = '#skF_1' )
| ~ day1(X_341) ),
inference(resolution,[status(thm)],[c_1327,c_3171]) ).
tff(c_3189,plain,
'#skF_2' = '#skF_1',
inference(resolution,[status(thm)],[c_56,c_3185]) ).
tff(c_74,plain,
consecutive(saturday) = sunday,
inference(cnfTransformation,[status(thm)],[f_145]) ).
tff(c_1442,plain,
! [X_151] :
( day2(consecutive(X_151))
| ~ day1(X_151) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_1457,plain,
( day2(sunday)
| ~ day1(saturday) ),
inference(superposition,[status(thm),theory(equality)],[c_74,c_1442]) ).
tff(c_1485,plain,
~ day1(saturday),
inference(splitLeft,[status(thm)],[c_1457]) ).
tff(c_1879,plain,
! [X_177] :
( ( sunday = X_177 )
| ( saturday = X_177 )
| ( friday = X_177 )
| ( thursday = X_177 )
| ( wednesday = X_177 )
| ( tuesday = X_177 )
| ( monday = X_177 ) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_1329,plain,
! [X_147] :
( truthday(X_147)
| ~ day1(X_147) ),
inference(splitRight,[status(thm)],[c_105]) ).
tff(c_1337,plain,
~ day1(tuesday),
inference(resolution,[status(thm)],[c_1329,c_104]) ).
tff(c_66,plain,
consecutive(tuesday) = wednesday,
inference(cnfTransformation,[status(thm)],[f_141]) ).
tff(c_1389,plain,
! [X_149] :
( day1(X_149)
| ~ day2(consecutive(X_149)) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_1407,plain,
( day1(tuesday)
| ~ day2(wednesday) ),
inference(superposition,[status(thm),theory(equality)],[c_66,c_1389]) ).
tff(c_1412,plain,
~ day2(wednesday),
inference(negUnitSimplification,[status(thm)],[c_1337,c_1407]) ).
tff(c_2295,plain,
! [X_295] :
( ~ day2(X_295)
| ( sunday = X_295 )
| ( saturday = X_295 )
| ( friday = X_295 )
| ( thursday = X_295 )
| ( tuesday = X_295 )
| ( monday = X_295 ) ),
inference(superposition,[status(thm),theory(equality)],[c_1879,c_1412]) ).
tff(c_2303,plain,
( ( sunday = '#skF_3' )
| ( saturday = '#skF_3' )
| ( friday = '#skF_3' )
| ( thursday = '#skF_3' )
| ( tuesday = '#skF_3' )
| ( monday = '#skF_3' ) ),
inference(resolution,[status(thm)],[c_58,c_2295]) ).
tff(c_2743,plain,
monday = '#skF_3',
inference(splitLeft,[status(thm)],[c_2303]) ).
tff(c_64,plain,
consecutive(monday) = tuesday,
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_1413,plain,
! [X_150] :
( day3(consecutive(X_150))
| ~ day2(X_150) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_1425,plain,
( day3(tuesday)
| ~ day2(monday) ),
inference(superposition,[status(thm),theory(equality)],[c_64,c_1413]) ).
tff(c_1441,plain,
~ day2(monday),
inference(splitLeft,[status(thm)],[c_1425]) ).
tff(c_2761,plain,
~ day2('#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_2743,c_1441]) ).
tff(c_2774,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58,c_2761]) ).
tff(c_2775,plain,
( ( tuesday = '#skF_3' )
| ( thursday = '#skF_3' )
| ( friday = '#skF_3' )
| ( saturday = '#skF_3' )
| ( sunday = '#skF_3' ) ),
inference(splitRight,[status(thm)],[c_2303]) ).
tff(c_2777,plain,
sunday = '#skF_3',
inference(splitLeft,[status(thm)],[c_2775]) ).
tff(c_1422,plain,
( day3(monday)
| ~ day2(sunday) ),
inference(superposition,[status(thm),theory(equality)],[c_62,c_1413]) ).
tff(c_1486,plain,
~ day2(sunday),
inference(splitLeft,[status(thm)],[c_1422]) ).
tff(c_2785,plain,
~ day2('#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_2777,c_1486]) ).
tff(c_2797,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58,c_2785]) ).
tff(c_2798,plain,
( ( saturday = '#skF_3' )
| ( friday = '#skF_3' )
| ( thursday = '#skF_3' )
| ( tuesday = '#skF_3' ) ),
inference(splitRight,[status(thm)],[c_2775]) ).
tff(c_2800,plain,
tuesday = '#skF_3',
inference(splitLeft,[status(thm)],[c_2798]) ).
tff(c_1328,plain,
~ truthday(monday),
inference(splitRight,[status(thm)],[c_105]) ).
tff(c_1336,plain,
~ day1(monday),
inference(resolution,[status(thm)],[c_1329,c_1328]) ).
tff(c_1398,plain,
( day1(monday)
| ~ day2(tuesday) ),
inference(superposition,[status(thm),theory(equality)],[c_64,c_1389]) ).
tff(c_1411,plain,
~ day2(tuesday),
inference(negUnitSimplification,[status(thm)],[c_1336,c_1398]) ).
tff(c_2807,plain,
~ day2('#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_2800,c_1411]) ).
tff(c_2820,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58,c_2807]) ).
tff(c_2821,plain,
( ( thursday = '#skF_3' )
| ( friday = '#skF_3' )
| ( saturday = '#skF_3' ) ),
inference(splitRight,[status(thm)],[c_2798]) ).
tff(c_2833,plain,
saturday = '#skF_3',
inference(splitLeft,[status(thm)],[c_2821]) ).
tff(c_1428,plain,
( day3(sunday)
| ~ day2(saturday) ),
inference(superposition,[status(thm),theory(equality)],[c_74,c_1413]) ).
tff(c_1440,plain,
~ day2(saturday),
inference(splitLeft,[status(thm)],[c_1428]) ).
tff(c_2841,plain,
~ day2('#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_2833,c_1440]) ).
tff(c_2853,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58,c_2841]) ).
tff(c_2854,plain,
( ( friday = '#skF_3' )
| ( thursday = '#skF_3' ) ),
inference(splitRight,[status(thm)],[c_2821]) ).
tff(c_2881,plain,
thursday = '#skF_3',
inference(splitLeft,[status(thm)],[c_2854]) ).
tff(c_68,plain,
consecutive(wednesday) = thursday,
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_1466,plain,
( day2(thursday)
| ~ day1(wednesday) ),
inference(superposition,[status(thm),theory(equality)],[c_68,c_1442]) ).
tff(c_1476,plain,
~ day1(wednesday),
inference(splitLeft,[status(thm)],[c_1466]) ).
tff(c_1410,plain,
( day1(wednesday)
| ~ day2(thursday) ),
inference(superposition,[status(thm),theory(equality)],[c_68,c_1389]) ).
tff(c_1484,plain,
~ day2(thursday),
inference(negUnitSimplification,[status(thm)],[c_1476,c_1410]) ).
tff(c_2889,plain,
~ day2('#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_2881,c_1484]) ).
tff(c_2901,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58,c_2889]) ).
tff(c_2902,plain,
friday = '#skF_3',
inference(splitRight,[status(thm)],[c_2854]) ).
tff(c_72,plain,
consecutive(friday) = saturday,
inference(cnfTransformation,[status(thm)],[f_144]) ).
tff(c_1366,plain,
! [X_148] :
( day2(X_148)
| ~ day3(consecutive(X_148)) ),
inference(cnfTransformation,[status(thm)],[f_153]) ).
tff(c_1369,plain,
( day2(friday)
| ~ day3(saturday) ),
inference(superposition,[status(thm),theory(equality)],[c_72,c_1366]) ).
tff(c_1388,plain,
~ day3(saturday),
inference(splitLeft,[status(thm)],[c_1369]) ).
tff(c_1419,plain,
( day3(saturday)
| ~ day2(friday) ),
inference(superposition,[status(thm),theory(equality)],[c_72,c_1413]) ).
tff(c_1439,plain,
~ day2(friday),
inference(negUnitSimplification,[status(thm)],[c_1388,c_1419]) ).
tff(c_2939,plain,
~ day2('#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_2902,c_1439]) ).
tff(c_2950,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58,c_2939]) ).
tff(c_2952,plain,
day2(sunday),
inference(splitRight,[status(thm)],[c_1422]) ).
tff(c_2978,plain,
! [Y_328,X_329] :
( ( Y_328 = X_329 )
| ~ day2(Y_328)
| ~ day2(X_329) ),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_2990,plain,
! [X_330] :
( ( X_330 = '#skF_3' )
| ~ day2(X_330) ),
inference(resolution,[status(thm)],[c_58,c_2978]) ).
tff(c_3000,plain,
sunday = '#skF_3',
inference(resolution,[status(thm)],[c_2952,c_2990]) ).
tff(c_3007,plain,
consecutive(saturday) = '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_3000,c_74]) ).
tff(c_78,plain,
! [X_10] :
( day1(X_10)
| ~ day2(consecutive(X_10)) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_3048,plain,
( day1(saturday)
| ~ day2('#skF_3') ),
inference(superposition,[status(thm),theory(equality)],[c_3007,c_78]) ).
tff(c_3057,plain,
day1(saturday),
inference(demodulation,[status(thm),theory(equality)],[c_58,c_3048]) ).
tff(c_3059,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1485,c_3057]) ).
tff(c_3061,plain,
day1(saturday),
inference(splitRight,[status(thm)],[c_1457]) ).
tff(c_1472,plain,
! [Y_152,X_153] :
( ( Y_152 = X_153 )
| ~ day1(Y_152)
| ~ day1(X_153) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_1475,plain,
! [X_153] :
( ( X_153 = '#skF_2' )
| ~ day1(X_153) ),
inference(resolution,[status(thm)],[c_56,c_1472]) ).
tff(c_3072,plain,
saturday = '#skF_2',
inference(resolution,[status(thm)],[c_3061,c_1475]) ).
tff(c_4,plain,
sunday != saturday,
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_3079,plain,
sunday != '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3072,c_4]) ).
tff(c_3194,plain,
sunday != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_3189,c_3079]) ).
tff(c_3060,plain,
day2(sunday),
inference(splitRight,[status(thm)],[c_1457]) ).
tff(c_3202,plain,
day1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_3189,c_56]) ).
tff(c_3150,plain,
! [X_339] :
( truthday(X_339)
| ~ day2(X_339) ),
inference(demodulation,[status(thm),theory(equality)],[c_3060,c_92]) ).
tff(c_3096,plain,
! [X_336,X_12] :
( ( X_336 = X_12 )
| ~ truthday(X_336)
| ~ day1(X_12) ),
inference(resolution,[status(thm)],[c_1327,c_3090]) ).
tff(c_3273,plain,
! [X_343,X_342] :
( ( X_343 = X_342 )
| ~ day1(X_343)
| ~ day2(X_342) ),
inference(resolution,[status(thm)],[c_3150,c_3096]) ).
tff(c_3343,plain,
! [X_349] :
( ( X_349 = '#skF_1' )
| ~ day2(X_349) ),
inference(resolution,[status(thm)],[c_3202,c_3273]) ).
tff(c_3346,plain,
sunday = '#skF_1',
inference(resolution,[status(thm)],[c_3060,c_3343]) ).
tff(c_3356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3194,c_3346]) ).
tff(c_3358,plain,
day1(wednesday),
inference(splitRight,[status(thm)],[c_1466]) ).
tff(c_3362,plain,
! [X_350] :
( ( X_350 = '#skF_2' )
| ~ day1(X_350) ),
inference(resolution,[status(thm)],[c_56,c_1472]) ).
tff(c_3369,plain,
wednesday = '#skF_2',
inference(resolution,[status(thm)],[c_3358,c_3362]) ).
tff(c_22,plain,
wednesday != thursday,
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_3376,plain,
thursday != '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3369,c_22]) ).
tff(c_3488,plain,
thursday != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_3482,c_3376]) ).
tff(c_3357,plain,
day2(thursday),
inference(splitRight,[status(thm)],[c_1466]) ).
tff(c_3496,plain,
day1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_3482,c_56]) ).
tff(c_96,plain,
! [X_13] :
( ~ day2(thursday)
| truthday(X_13)
| ~ day2(X_13) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_3585,plain,
! [X_362] :
( truthday(X_362)
| ~ day2(X_362) ),
inference(demodulation,[status(thm),theory(equality)],[c_3357,c_96]) ).
tff(c_3414,plain,
! [X_354,X_12] :
( ( X_354 = X_12 )
| ~ truthday(X_354)
| ~ day1(X_12) ),
inference(resolution,[status(thm)],[c_1327,c_3405]) ).
tff(c_3636,plain,
! [X_364,X_363] :
( ( X_364 = X_363 )
| ~ day1(X_364)
| ~ day2(X_363) ),
inference(resolution,[status(thm)],[c_3585,c_3414]) ).
tff(c_3695,plain,
! [X_365] :
( ( X_365 = '#skF_1' )
| ~ day2(X_365) ),
inference(resolution,[status(thm)],[c_3496,c_3636]) ).
tff(c_3698,plain,
thursday = '#skF_1',
inference(resolution,[status(thm)],[c_3357,c_3695]) ).
tff(c_3708,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3488,c_3698]) ).
tff(c_3710,plain,
day2(monday),
inference(splitRight,[status(thm)],[c_1425]) ).
tff(c_1395,plain,
( day1(sunday)
| ~ day2(monday) ),
inference(superposition,[status(thm),theory(equality)],[c_62,c_1389]) ).
tff(c_4231,plain,
day1(sunday),
inference(demodulation,[status(thm),theory(equality)],[c_3710,c_1395]) ).
tff(c_4158,plain,
! [Y_389,X_390] :
( ( Y_389 = X_390 )
| ~ day1(Y_389)
| ~ day1(X_390) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_4237,plain,
! [X_392] :
( ( X_392 = '#skF_2' )
| ~ day1(X_392) ),
inference(resolution,[status(thm)],[c_56,c_4158]) ).
tff(c_4244,plain,
sunday = '#skF_2',
inference(resolution,[status(thm)],[c_4231,c_4237]) ).
tff(c_6,plain,
sunday != friday,
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_4254,plain,
friday != '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_4244,c_6]) ).
tff(c_4342,plain,
friday != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_4338,c_4254]) ).
tff(c_4351,plain,
day1('#skF_1'),
inference(demodulation,[status(thm),theory(equality)],[c_4338,c_56]) ).
tff(c_3709,plain,
day3(tuesday),
inference(splitRight,[status(thm)],[c_1425]) ).
tff(c_3910,plain,
~ truthday(wednesday),
inference(splitLeft,[status(thm)],[c_102]) ).
tff(c_3749,plain,
~ truthday(friday),
inference(splitLeft,[status(thm)],[c_100]) ).
tff(c_4004,plain,
! [X_381] :
( truthday(X_381)
| ~ day3(X_381) ),
inference(negUnitSimplification,[status(thm)],[c_3910,c_3749,c_98]) ).
tff(c_4023,plain,
~ day3(tuesday),
inference(resolution,[status(thm)],[c_4004,c_104]) ).
tff(c_4033,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3709,c_4023]) ).
tff(c_4035,plain,
truthday(wednesday),
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_3788,plain,
! [Y_370,X_371] :
( ( Y_370 = X_371 )
| ~ truthday(Y_370)
| ~ truthday(X_371) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_3793,plain,
! [X_371] :
( ( X_371 = '#skF_1' )
| ~ truthday(X_371) ),
inference(resolution,[status(thm)],[c_54,c_3788]) ).
tff(c_4041,plain,
wednesday = '#skF_1',
inference(resolution,[status(thm)],[c_4035,c_3793]) ).
tff(c_3759,plain,
day1(sunday),
inference(demodulation,[status(thm),theory(equality)],[c_3710,c_1395]) ).
tff(c_3872,plain,
! [Y_373,X_374] :
( ( Y_373 = X_374 )
| ~ day1(Y_373)
| ~ day1(X_374) ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_3879,plain,
! [X_375] :
( ( X_375 = '#skF_2' )
| ~ day1(X_375) ),
inference(resolution,[status(thm)],[c_56,c_3872]) ).
tff(c_3886,plain,
sunday = '#skF_2',
inference(resolution,[status(thm)],[c_3759,c_3879]) ).
tff(c_16,plain,
wednesday != sunday,
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_3898,plain,
wednesday != '#skF_2',
inference(demodulation,[status(thm),theory(equality)],[c_3886,c_16]) ).
tff(c_4044,plain,
'#skF_2' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_4041,c_3898]) ).
tff(c_3862,plain,
! [X_372] :
( ( X_372 = '#skF_1' )
| ~ truthday(X_372) ),
inference(resolution,[status(thm)],[c_54,c_3788]) ).
tff(c_3905,plain,
! [X_376] :
( ( X_376 = '#skF_1' )
| ~ day1(X_376) ),
inference(resolution,[status(thm)],[c_1327,c_3862]) ).
tff(c_3909,plain,
'#skF_2' = '#skF_1',
inference(resolution,[status(thm)],[c_56,c_3905]) ).
tff(c_4082,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4044,c_3909]) ).
tff(c_4084,plain,
truthday(friday),
inference(splitRight,[status(thm)],[c_100]) ).
tff(c_4378,plain,
! [X_400] :
( ( friday = X_400 )
| ~ day1(X_400) ),
inference(resolution,[status(thm)],[c_4084,c_4273]) ).
tff(c_4381,plain,
friday = '#skF_1',
inference(resolution,[status(thm)],[c_4351,c_4378]) ).
tff(c_4385,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4342,c_4381]) ).
tff(c_4387,plain,
day2(saturday),
inference(splitRight,[status(thm)],[c_1428]) ).
tff(c_1392,plain,
( day1(friday)
| ~ day2(saturday) ),
inference(superposition,[status(thm),theory(equality)],[c_72,c_1389]) ).
tff(c_4446,plain,
day1(friday),
inference(demodulation,[status(thm),theory(equality)],[c_4387,c_1392]) ).
tff(c_4424,plain,
! [Y_402,X_403] :
( ( Y_402 = X_403 )
| ~ truthday(Y_402)
| ~ truthday(X_403) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_4448,plain,
! [X_406] :
( ( X_406 = '#skF_1' )
| ~ truthday(X_406) ),
inference(resolution,[status(thm)],[c_54,c_4424]) ).
tff(c_4459,plain,
! [X_407] :
( ( X_407 = '#skF_1' )
| ~ day1(X_407) ),
inference(resolution,[status(thm)],[c_1327,c_4448]) ).
tff(c_4466,plain,
friday = '#skF_1',
inference(resolution,[status(thm)],[c_4446,c_4459]) ).
tff(c_8,plain,
saturday != friday,
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_4486,plain,
saturday != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_4466,c_8]) ).
tff(c_94,plain,
! [X_13] :
( ~ day2(saturday)
| truthday(X_13)
| ~ day2(X_13) ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_4608,plain,
! [X_415] :
( truthday(X_415)
| ~ day2(X_415) ),
inference(demodulation,[status(thm),theory(equality)],[c_4387,c_94]) ).
tff(c_4429,plain,
! [X_403] :
( ( X_403 = '#skF_1' )
| ~ truthday(X_403) ),
inference(resolution,[status(thm)],[c_54,c_4424]) ).
tff(c_4674,plain,
! [X_416] :
( ( X_416 = '#skF_1' )
| ~ day2(X_416) ),
inference(resolution,[status(thm)],[c_4608,c_4429]) ).
tff(c_4680,plain,
saturday = '#skF_1',
inference(resolution,[status(thm)],[c_4387,c_4674]) ).
tff(c_4688,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4486,c_4680]) ).
tff(c_4689,plain,
day2(friday),
inference(splitRight,[status(thm)],[c_1369]) ).
tff(c_70,plain,
consecutive(thursday) = friday,
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_4691,plain,
! [X_417] :
( day1(X_417)
| ~ day2(consecutive(X_417)) ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_4706,plain,
( day1(thursday)
| ~ day2(friday) ),
inference(superposition,[status(thm),theory(equality)],[c_70,c_4691]) ).
tff(c_4789,plain,
day1(thursday),
inference(demodulation,[status(thm),theory(equality)],[c_4689,c_4706]) ).
tff(c_4841,plain,
! [Y_425,X_426] :
( ( Y_425 = X_426 )
| ~ truthday(Y_425)
| ~ truthday(X_426) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_4984,plain,
! [X_432] :
( ( X_432 = '#skF_1' )
| ~ truthday(X_432) ),
inference(resolution,[status(thm)],[c_54,c_4841]) ).
tff(c_4994,plain,
! [X_433] :
( ( X_433 = '#skF_1' )
| ~ day1(X_433) ),
inference(resolution,[status(thm)],[c_1327,c_4984]) ).
tff(c_5001,plain,
thursday = '#skF_1',
inference(resolution,[status(thm)],[c_4789,c_4994]) ).
tff(c_4831,plain,
! [Y_423,X_424] :
( ( Y_423 = X_424 )
| ~ day2(Y_423)
| ~ day2(X_424) ),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_4897,plain,
! [X_429] :
( ( X_429 = '#skF_3' )
| ~ day2(X_429) ),
inference(resolution,[status(thm)],[c_58,c_4831]) ).
tff(c_4908,plain,
friday = '#skF_3',
inference(resolution,[status(thm)],[c_4689,c_4897]) ).
tff(c_14,plain,
thursday != friday,
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_4920,plain,
thursday != '#skF_3',
inference(demodulation,[status(thm),theory(equality)],[c_4908,c_14]) ).
tff(c_5004,plain,
'#skF_3' != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_5001,c_4920]) ).
tff(c_4690,plain,
day3(saturday),
inference(splitRight,[status(thm)],[c_1369]) ).
tff(c_4790,plain,
! [Y_420,X_421] :
( ( Y_420 = X_421 )
| ~ day3(Y_420)
| ~ day3(X_421) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_4801,plain,
! [X_422] :
( ( X_422 = '#skF_4' )
| ~ day3(X_422) ),
inference(resolution,[status(thm)],[c_60,c_4790]) ).
tff(c_4812,plain,
saturday = '#skF_4',
inference(resolution,[status(thm)],[c_4690,c_4801]) ).
tff(c_12,plain,
thursday != saturday,
inference(cnfTransformation,[status(thm)],[f_106]) ).
tff(c_4824,plain,
thursday != '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_4812,c_12]) ).
tff(c_5005,plain,
'#skF_1' != '#skF_4',
inference(demodulation,[status(thm),theory(equality)],[c_5001,c_4824]) ).
tff(c_4927,plain,
~ truthday(wednesday),
inference(splitLeft,[status(thm)],[c_102]) ).
tff(c_5054,plain,
! [X_14] :
( ~ truthday('#skF_3')
| ~ truthday(X_14)
| ~ day3(X_14) ),
inference(demodulation,[status(thm),theory(equality)],[c_4908,c_100]) ).
tff(c_5055,plain,
~ truthday('#skF_3'),
inference(splitLeft,[status(thm)],[c_5054]) ).
tff(c_5201,plain,
! [X_14] :
( truthday(X_14)
| truthday('#skF_3')
| truthday(wednesday)
| ~ day3(X_14) ),
inference(demodulation,[status(thm),theory(equality)],[c_4908,c_98]) ).
tff(c_5203,plain,
! [X_438] :
( truthday(X_438)
| ~ day3(X_438) ),
inference(negUnitSimplification,[status(thm)],[c_4927,c_5055,c_5201]) ).
tff(c_4846,plain,
! [X_426] :
( ( X_426 = '#skF_1' )
| ~ truthday(X_426) ),
inference(resolution,[status(thm)],[c_54,c_4841]) ).
tff(c_5230,plain,
! [X_439] :
( ( X_439 = '#skF_1' )
| ~ day3(X_439) ),
inference(resolution,[status(thm)],[c_5203,c_4846]) ).
tff(c_5236,plain,
'#skF_1' = '#skF_4',
inference(resolution,[status(thm)],[c_60,c_5230]) ).
tff(c_5241,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5005,c_5236]) ).
tff(c_5243,plain,
truthday('#skF_3'),
inference(splitRight,[status(thm)],[c_5054]) ).
tff(c_5246,plain,
'#skF_3' = '#skF_1',
inference(resolution,[status(thm)],[c_5243,c_4846]) ).
tff(c_5254,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5004,c_5246]) ).
tff(c_5256,plain,
truthday(wednesday),
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_46,plain,
! [Y_3,X_2] :
( ( Y_3 = X_2 )
| ~ truthday(Y_3)
| ~ truthday(X_2) ),
inference(cnfTransformation,[status(thm)],[f_112]) ).
tff(c_5336,plain,
! [X_444] :
( ( wednesday = X_444 )
| ~ truthday(X_444) ),
inference(resolution,[status(thm)],[c_5256,c_46]) ).
tff(c_5348,plain,
wednesday = '#skF_1',
inference(resolution,[status(thm)],[c_54,c_5336]) ).
tff(c_5359,plain,
thursday != '#skF_1',
inference(demodulation,[status(thm),theory(equality)],[c_5348,c_22]) ).
tff(c_5349,plain,
! [X_12] :
( ( wednesday = X_12 )
| ~ day1(X_12) ),
inference(resolution,[status(thm)],[c_1327,c_5336]) ).
tff(c_5410,plain,
! [X_445] :
( ( X_445 = '#skF_1' )
| ~ day1(X_445) ),
inference(demodulation,[status(thm),theory(equality)],[c_5348,c_5349]) ).
tff(c_5413,plain,
thursday = '#skF_1',
inference(resolution,[status(thm)],[c_4789,c_5410]) ).
tff(c_5420,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5359,c_5413]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ078+1 : TPTP v8.1.2. Released v3.5.0.
% 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 : n014.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
% 0.20/0.34 % WCLimit : 300
% 0.20/0.34 % DateTime : Thu Aug 3 17:31:33 EDT 2023
% 0.20/0.34 % CPUTime :
% 7.58/2.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.87/2.81
% 7.87/2.81 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.87/2.86
% 7.87/2.86 Inference rules
% 7.87/2.86 ----------------------
% 7.87/2.86 #Ref : 0
% 7.87/2.86 #Sup : 1193
% 7.87/2.86 #Fact : 17
% 7.87/2.86 #Define : 0
% 7.87/2.86 #Split : 60
% 7.87/2.86 #Chain : 0
% 7.87/2.86 #Close : 0
% 7.87/2.86
% 7.87/2.86 Ordering : KBO
% 7.87/2.86
% 7.87/2.86 Simplification rules
% 7.87/2.86 ----------------------
% 7.87/2.86 #Subsume : 543
% 7.87/2.86 #Demod : 1140
% 7.87/2.86 #Tautology : 429
% 7.87/2.86 #SimpNegUnit : 357
% 7.87/2.86 #BackRed : 460
% 7.87/2.86
% 7.87/2.86 #Partial instantiations: 1920
% 7.87/2.86 #Strategies tried : 1
% 7.87/2.86
% 7.87/2.86 Timing (in seconds)
% 7.87/2.86 ----------------------
% 8.20/2.86 Preprocessing : 0.51
% 8.20/2.86 Parsing : 0.27
% 8.20/2.86 CNF conversion : 0.03
% 8.20/2.86 Main loop : 1.22
% 8.20/2.86 Inferencing : 0.41
% 8.20/2.87 Reduction : 0.39
% 8.20/2.87 Demodulation : 0.24
% 8.20/2.87 BG Simplification : 0.04
% 8.20/2.87 Subsumption : 0.25
% 8.20/2.87 Abstraction : 0.04
% 8.20/2.87 MUC search : 0.00
% 8.20/2.87 Cooper : 0.00
% 8.20/2.87 Total : 1.84
% 8.20/2.87 Index Insertion : 0.00
% 8.20/2.87 Index Deletion : 0.00
% 8.20/2.87 Index Matching : 0.00
% 8.20/2.87 BG Taut test : 0.00
%------------------------------------------------------------------------------