%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : PRO010+2 : TPTP v9.0.0. Released v4.0.0.
% 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 : n009.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 : Wed Apr 9 08:24:11 PM UTC 2025
% Result : Theorem 5.33s 2.18s
% Output : CNFRefutation 5.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 57 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 122 ( 16 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 118 ( 53 ~; 40 |; 16 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 6 con; 0-3 aty)
% Number of variables : 64 ( 53 !; 11 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ next_subocc > min_precedes > subactivity_occurrence > subactivity > root_occ > root > precedes > occurrence_of > leaf_occ > leaf > earlier > atocc > legal > atomic > arboreal > activity_occurrence > activity > #nlpp > tptp4 > tptp3 > tptp2 > tptp1 > tptp0 > #skF_7 > #skF_16 > #skF_6 > #skF_1 > #skF_18 > #skF_20 > #skF_12 > #skF_3 > #skF_13 > #skF_14 > #skF_15 > #skF_19 > #skF_10 > #skF_8 > #skF_11 > #skF_9 > #skF_17 > #skF_2 > #skF_5 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(arboreal,type,
arboreal: $i > $o ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff(tptp1,type,
tptp1: $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': $i ).
tff(subactivity,type,
subactivity: ( $i * $i ) > $o ).
tff(root,type,
root: ( $i * $i ) > $o ).
tff('#skF_20',type,
'#skF_20': ( $i * $i ) > $i ).
tff(tptp2,type,
tptp2: $i ).
tff(leaf,type,
leaf: ( $i * $i ) > $o ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i ) > $i ).
tff(tptp0,type,
tptp0: $i ).
tff(root_occ,type,
root_occ: ( $i * $i ) > $o ).
tff(tptp3,type,
tptp3: $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff(occurrence_of,type,
occurrence_of: ( $i * $i ) > $o ).
tff(atomic,type,
atomic: $i > $o ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff(tptp4,type,
tptp4: $i ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff(legal,type,
legal: $i > $o ).
tff('#skF_19',type,
'#skF_19': ( $i * $i ) > $i ).
tff(earlier,type,
earlier: ( $i * $i ) > $o ).
tff(activity_occurrence,type,
activity_occurrence: $i > $o ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i ) > $i ).
tff(leaf_occ,type,
leaf_occ: ( $i * $i ) > $o ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff(activity,type,
activity: $i > $o ).
tff(min_precedes,type,
min_precedes: ( $i * $i * $i ) > $o ).
tff(precedes,type,
precedes: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(subactivity_occurrence,type,
subactivity_occurrence: ( $i * $i ) > $o ).
tff(next_subocc,type,
next_subocc: ( $i * $i * $i ) > $o ).
tff(atocc,type,
atocc: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff(f_327,negated_conjecture,
~ ! [X99] :
( occurrence_of(X99,tptp0)
=> ? [X100,X101] :
( leaf_occ(X101,X99)
& ( occurrence_of(X101,tptp1)
=> ~ ? [X102] :
( occurrence_of(X102,tptp2)
& min_precedes(X100,X102,tptp0) ) )
& ( occurrence_of(X101,tptp2)
=> ~ ? [X103] :
( occurrence_of(X103,tptp1)
& min_precedes(X100,X103,tptp0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
tff(f_286,axiom,
! [X95] :
( occurrence_of(X95,tptp0)
=> ? [X96,X97,X98] :
( occurrence_of(X96,tptp3)
& root_occ(X96,X95)
& occurrence_of(X97,tptp4)
& next_subocc(X96,X97,tptp0)
& ( occurrence_of(X98,tptp1)
| occurrence_of(X98,tptp2) )
& next_subocc(X97,X98,tptp0)
& leaf_occ(X98,X95) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
tff(f_305,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_44) ).
tff(f_130,axiom,
! [X42,X43] :
( leaf(X42,X43)
<=> ( ( root(X42,X43)
| ? [X44] : min_precedes(X44,X42,X43) )
& ~ ? [X45] : min_precedes(X42,X45,X43) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).
tff(f_109,axiom,
! [X35,X36] :
( leaf_occ(X35,X36)
<=> ? [X37] :
( occurrence_of(X36,X37)
& subactivity_occurrence(X35,X36)
& leaf(X35,X37) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).
tff(f_184,axiom,
! [X64,X65,X66] :
( ( occurrence_of(X64,X65)
& occurrence_of(X64,X66) )
=> ( X65 = X66 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
tff(f_162,axiom,
! [X54,X55] :
( subactivity_occurrence(X54,X55)
=> ( activity_occurrence(X54)
& activity_occurrence(X55) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_19) ).
tff(f_156,axiom,
! [X52] :
( activity_occurrence(X52)
=> ? [X53] :
( activity(X53)
& occurrence_of(X52,X53) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).
tff(c_166,plain,
occurrence_of('#skF_18',tptp0),
inference(cnfTransformation,[status(thm)],[f_327]) ).
tff(c_128,plain,
! [X95_110] :
( leaf_occ('#skF_17'(X95_110),X95_110)
| ~ occurrence_of(X95_110,tptp0) ),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_164,plain,
tptp2 != tptp1,
inference(cnfTransformation,[status(thm)],[f_305]) ).
tff(c_405,plain,
! [X100_192,X101_193] :
( min_precedes(X100_192,'#skF_19'(X100_192,X101_193),tptp0)
| occurrence_of(X101_193,tptp2)
| ~ leaf_occ(X101_193,'#skF_18') ),
inference(cnfTransformation,[status(thm)],[f_327]) ).
tff(c_56,plain,
! [X42_49,X45_56,X43_50] :
( ~ min_precedes(X42_49,X45_56,X43_50)
| ~ leaf(X42_49,X43_50) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_417,plain,
! [X100_192,X101_193] :
( ~ leaf(X100_192,tptp0)
| occurrence_of(X101_193,tptp2)
| ~ leaf_occ(X101_193,'#skF_18') ),
inference(resolution,[status(thm)],[c_405,c_56]) ).
tff(c_999,plain,
! [X100_192] : ~ leaf(X100_192,tptp0),
inference(splitLeft,[status(thm)],[c_417]) ).
tff(c_656,plain,
! [X36_238,X35_239] :
( occurrence_of(X36_238,'#skF_3'(X35_239,X36_238))
| ~ leaf_occ(X35_239,X36_238) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_533,plain,
! [X66_230,X65_231,X64_232] :
( ( X66_230 = X65_231 )
| ~ occurrence_of(X64_232,X66_230)
| ~ occurrence_of(X64_232,X65_231) ),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_563,plain,
! [X65_231] :
( ( tptp0 = X65_231 )
| ~ occurrence_of('#skF_18',X65_231) ),
inference(resolution,[status(thm)],[c_166,c_533]) ).
tff(c_695,plain,
! [X35_244] :
( ( '#skF_3'(X35_244,'#skF_18') = tptp0 )
| ~ leaf_occ(X35_244,'#skF_18') ),
inference(resolution,[status(thm)],[c_656,c_563]) ).
tff(c_699,plain,
( ( '#skF_3'('#skF_17'('#skF_18'),'#skF_18') = tptp0 )
| ~ occurrence_of('#skF_18',tptp0) ),
inference(resolution,[status(thm)],[c_128,c_695]) ).
tff(c_702,plain,
'#skF_3'('#skF_17'('#skF_18'),'#skF_18') = tptp0,
inference(demodulation,[status(thm),theory(equality)],[c_166,c_699]) ).
tff(c_44,plain,
! [X35_40,X36_41] :
( leaf(X35_40,'#skF_3'(X35_40,X36_41))
| ~ leaf_occ(X35_40,X36_41) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_712,plain,
( leaf('#skF_17'('#skF_18'),tptp0)
| ~ leaf_occ('#skF_17'('#skF_18'),'#skF_18') ),
inference(superposition,[status(thm),theory(equality)],[c_702,c_44]) ).
tff(c_1155,plain,
~ leaf_occ('#skF_17'('#skF_18'),'#skF_18'),
inference(negUnitSimplification,[status(thm)],[c_999,c_712]) ).
tff(c_1158,plain,
~ occurrence_of('#skF_18',tptp0),
inference(resolution,[status(thm)],[c_128,c_1155]) ).
tff(c_1162,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166,c_1158]) ).
tff(c_1163,plain,
! [X101_193] :
( occurrence_of(X101_193,tptp2)
| ~ leaf_occ(X101_193,'#skF_18') ),
inference(splitRight,[status(thm)],[c_417]) ).
tff(c_294,plain,
! [X95_174] :
( leaf_occ('#skF_17'(X95_174),X95_174)
| ~ occurrence_of(X95_174,tptp0) ),
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_212,plain,
! [X35_140,X36_141] :
( subactivity_occurrence(X35_140,X36_141)
| ~ leaf_occ(X35_140,X36_141) ),
inference(cnfTransformation,[status(thm)],[f_109]) ).
tff(c_82,plain,
! [X54_67,X55_68] :
( activity_occurrence(X54_67)
| ~ subactivity_occurrence(X54_67,X55_68) ),
inference(cnfTransformation,[status(thm)],[f_162]) ).
tff(c_220,plain,
! [X35_140,X36_141] :
( activity_occurrence(X35_140)
| ~ leaf_occ(X35_140,X36_141) ),
inference(resolution,[status(thm)],[c_212,c_82]) ).
tff(c_301,plain,
! [X95_174] :
( activity_occurrence('#skF_17'(X95_174))
| ~ occurrence_of(X95_174,tptp0) ),
inference(resolution,[status(thm)],[c_294,c_220]) ).
tff(c_356,plain,
! [X101_185,X100_186] :
( occurrence_of(X101_185,tptp1)
| min_precedes(X100_186,'#skF_20'(X100_186,X101_185),tptp0)
| ~ leaf_occ(X101_185,'#skF_18') ),
inference(cnfTransformation,[status(thm)],[f_327]) ).
tff(c_368,plain,
! [X100_186,X101_185] :
( ~ leaf(X100_186,tptp0)
| occurrence_of(X101_185,tptp1)
| ~ leaf_occ(X101_185,'#skF_18') ),
inference(resolution,[status(thm)],[c_356,c_56]) ).
tff(c_904,plain,
! [X100_186] : ~ leaf(X100_186,tptp0),
inference(splitLeft,[status(thm)],[c_368]) ).
tff(c_906,plain,
~ leaf_occ('#skF_17'('#skF_18'),'#skF_18'),
inference(negUnitSimplification,[status(thm)],[c_904,c_712]) ).
tff(c_909,plain,
~ occurrence_of('#skF_18',tptp0),
inference(resolution,[status(thm)],[c_128,c_906]) ).
tff(c_913,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166,c_909]) ).
tff(c_915,plain,
! [X101_260] :
( occurrence_of(X101_260,tptp1)
| ~ leaf_occ(X101_260,'#skF_18') ),
inference(splitRight,[status(thm)],[c_368]) ).
tff(c_76,plain,
! [X52_65] :
( occurrence_of(X52_65,'#skF_7'(X52_65))
| ~ activity_occurrence(X52_65) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_560,plain,
! [X65_231,X52_65] :
( ( X65_231 = '#skF_7'(X52_65) )
| ~ occurrence_of(X52_65,X65_231)
| ~ activity_occurrence(X52_65) ),
inference(resolution,[status(thm)],[c_76,c_533]) ).
tff(c_948,plain,
! [X101_261] :
( ( '#skF_7'(X101_261) = tptp1 )
| ~ activity_occurrence(X101_261)
| ~ leaf_occ(X101_261,'#skF_18') ),
inference(resolution,[status(thm)],[c_915,c_560]) ).
tff(c_952,plain,
( ( '#skF_7'('#skF_17'('#skF_18')) = tptp1 )
| ~ activity_occurrence('#skF_17'('#skF_18'))
| ~ occurrence_of('#skF_18',tptp0) ),
inference(resolution,[status(thm)],[c_128,c_948]) ).
tff(c_955,plain,
( ( '#skF_7'('#skF_17'('#skF_18')) = tptp1 )
| ~ activity_occurrence('#skF_17'('#skF_18')) ),
inference(demodulation,[status(thm),theory(equality)],[c_166,c_952]) ).
tff(c_956,plain,
~ activity_occurrence('#skF_17'('#skF_18')),
inference(splitLeft,[status(thm)],[c_955]) ).
tff(c_968,plain,
~ occurrence_of('#skF_18',tptp0),
inference(resolution,[status(thm)],[c_301,c_956]) ).
tff(c_972,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166,c_968]) ).
tff(c_974,plain,
activity_occurrence('#skF_17'('#skF_18')),
inference(splitRight,[status(thm)],[c_955]) ).
tff(c_973,plain,
'#skF_7'('#skF_17'('#skF_18')) = tptp1,
inference(splitRight,[status(thm)],[c_955]) ).
tff(c_984,plain,
( occurrence_of('#skF_17'('#skF_18'),tptp1)
| ~ activity_occurrence('#skF_17'('#skF_18')) ),
inference(superposition,[status(thm),theory(equality)],[c_973,c_76]) ).
tff(c_995,plain,
occurrence_of('#skF_17'('#skF_18'),tptp1),
inference(demodulation,[status(thm),theory(equality)],[c_974,c_984]) ).
tff(c_88,plain,
! [X66_81,X65_80,X64_79] :
( ( X66_81 = X65_80 )
| ~ occurrence_of(X64_79,X66_81)
| ~ occurrence_of(X64_79,X65_80) ),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_1228,plain,
! [X65_276] :
( ( tptp1 = X65_276 )
| ~ occurrence_of('#skF_17'('#skF_18'),X65_276) ),
inference(resolution,[status(thm)],[c_995,c_88]) ).
tff(c_1232,plain,
( ( tptp2 = tptp1 )
| ~ leaf_occ('#skF_17'('#skF_18'),'#skF_18') ),
inference(resolution,[status(thm)],[c_1163,c_1228]) ).
tff(c_1258,plain,
~ leaf_occ('#skF_17'('#skF_18'),'#skF_18'),
inference(negUnitSimplification,[status(thm)],[c_164,c_1232]) ).
tff(c_1271,plain,
~ occurrence_of('#skF_18',tptp0),
inference(resolution,[status(thm)],[c_128,c_1258]) ).
tff(c_1275,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166,c_1271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO010+2 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.13 % 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 : n009.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 : Tue Apr 8 16:58:26 EDT 2025
% 0.13/0.35 % CPUTime :
% 5.33/2.18 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.33/2.18
% 5.33/2.18 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------