%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : PRO010+3 : 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 : n029.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 5.73s 2.27s
% Output : CNFRefutation 5.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 71 ( 6 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 66 ( 26 ~; 21 |; 11 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 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 : 27 ( 27 usr; 6 con; 0-4 aty)
% Number of variables : 42 ( 35 !; 7 ?; 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_11 > #skF_22 > #skF_6 > #skF_20 > #skF_18 > #skF_13 > #skF_19 > #skF_1 > #skF_14 > #skF_12 > #skF_5 > #skF_2 > #skF_17 > #skF_3 > #skF_8 > #skF_7 > #skF_16 > #skF_21 > #skF_9 > #skF_15 > #skF_4 > #skF_10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i ) > $i ).
tff(arboreal,type,
arboreal: $i > $o ).
tff(tptp1,type,
tptp1: $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': $i ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i * $i ) > $i ).
tff(subactivity,type,
subactivity: ( $i * $i ) > $o ).
tff(root,type,
root: ( $i * $i ) > $o ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(tptp2,type,
tptp2: $i ).
tff(leaf,type,
leaf: ( $i * $i ) > $o ).
tff(tptp0,type,
tptp0: $i ).
tff(root_occ,type,
root_occ: ( $i * $i ) > $o ).
tff(tptp3,type,
tptp3: $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_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(legal,type,
legal: $i > $o ).
tff(earlier,type,
earlier: ( $i * $i ) > $o ).
tff(activity_occurrence,type,
activity_occurrence: $i > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i ) > $i ).
tff(leaf_occ,type,
leaf_occ: ( $i * $i ) > $o ).
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_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff(subactivity_occurrence,type,
subactivity_occurrence: ( $i * $i ) > $o ).
tff(next_subocc,type,
next_subocc: ( $i * $i * $i ) > $o ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(atocc,type,
atocc: ( $i * $i ) > $o ).
tff('#skF_16',type,
'#skF_16': ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff(f_494,negated_conjecture,
~ ! [X165] :
( occurrence_of(X165,tptp0)
=> ? [X166,X167] :
( leaf_occ(X167,X165)
& ( occurrence_of(X167,tptp1)
=> ~ ? [X168] :
( occurrence_of(X168,tptp2)
& min_precedes(X166,X168,tptp0) ) )
& ( occurrence_of(X167,tptp2)
=> ~ ? [X169] :
( occurrence_of(X169,tptp1)
& min_precedes(X166,X169,tptp0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
tff(f_453,axiom,
! [X161] :
( occurrence_of(X161,tptp0)
=> ? [X162,X163,X164] :
( occurrence_of(X162,tptp3)
& root_occ(X162,X161)
& occurrence_of(X163,tptp4)
& next_subocc(X162,X163,tptp0)
& ( occurrence_of(X164,tptp1)
| occurrence_of(X164,tptp2) )
& next_subocc(X163,X164,tptp0)
& leaf_occ(X164,X161) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
tff(f_472,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_61) ).
tff(f_404,axiom,
! [X148,X149,X150] :
( min_precedes(X148,X149,X150)
=> arboreal(X148) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_46) ).
tff(f_43,axiom,
! [X4,X5,X6] :
( ( occurrence_of(X4,X5)
& occurrence_of(X4,X6) )
=> ( X5 = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
tff(f_456,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).
tff(f_74,axiom,
! [X16,X17] :
( occurrence_of(X16,X17)
=> ( arboreal(X16)
<=> atomic(X17) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
tff(c_204,plain,
occurrence_of('#skF_20',tptp0),
inference(cnfTransformation,[status(thm)],[f_494]) ).
tff(c_166,plain,
! [X161_176] :
( leaf_occ('#skF_19'(X161_176),X161_176)
| ~ occurrence_of(X161_176,tptp0) ),
inference(cnfTransformation,[status(thm)],[f_453]) ).
tff(c_202,plain,
tptp2 != tptp1,
inference(cnfTransformation,[status(thm)],[f_472]) ).
tff(c_414,plain,
! [X166_263,X167_264] :
( min_precedes(X166_263,'#skF_21'(X166_263,X167_264),tptp0)
| occurrence_of(X167_264,tptp2)
| ~ leaf_occ(X167_264,'#skF_20') ),
inference(cnfTransformation,[status(thm)],[f_494]) ).
tff(c_160,plain,
! [X148_163,X149_164,X150_165] :
( arboreal(X148_163)
| ~ min_precedes(X148_163,X149_164,X150_165) ),
inference(cnfTransformation,[status(thm)],[f_404]) ).
tff(c_434,plain,
! [X166_263,X167_264] :
( arboreal(X166_263)
| occurrence_of(X167_264,tptp2)
| ~ leaf_occ(X167_264,'#skF_20') ),
inference(resolution,[status(thm)],[c_414,c_160]) ).
tff(c_869,plain,
! [X167_264] :
( occurrence_of(X167_264,tptp2)
| ~ leaf_occ(X167_264,'#skF_20') ),
inference(splitLeft,[status(thm)],[c_434]) ).
tff(c_332,plain,
! [X167_253,X166_254] :
( occurrence_of(X167_253,tptp1)
| min_precedes(X166_254,'#skF_22'(X166_254,X167_253),tptp0)
| ~ leaf_occ(X167_253,'#skF_20') ),
inference(cnfTransformation,[status(thm)],[f_494]) ).
tff(c_352,plain,
! [X166_254,X167_253] :
( arboreal(X166_254)
| occurrence_of(X167_253,tptp1)
| ~ leaf_occ(X167_253,'#skF_20') ),
inference(resolution,[status(thm)],[c_332,c_160]) ).
tff(c_818,plain,
! [X167_325] :
( occurrence_of(X167_325,tptp1)
| ~ leaf_occ(X167_325,'#skF_20') ),
inference(splitLeft,[status(thm)],[c_352]) ).
tff(c_10,plain,
! [X6_7,X5_6,X4_5] :
( ( X6_7 = X5_6 )
| ~ occurrence_of(X4_5,X6_7)
| ~ occurrence_of(X4_5,X5_6) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_950,plain,
! [X5_334,X167_335] :
( ( tptp1 = X5_334 )
| ~ occurrence_of(X167_335,X5_334)
| ~ leaf_occ(X167_335,'#skF_20') ),
inference(resolution,[status(thm)],[c_818,c_10]) ).
tff(c_953,plain,
! [X167_264] :
( ( tptp2 = tptp1 )
| ~ leaf_occ(X167_264,'#skF_20') ),
inference(resolution,[status(thm)],[c_869,c_950]) ).
tff(c_999,plain,
! [X167_336] : ~ leaf_occ(X167_336,'#skF_20'),
inference(negUnitSimplification,[status(thm)],[c_202,c_953]) ).
tff(c_1003,plain,
~ occurrence_of('#skF_20',tptp0),
inference(resolution,[status(thm)],[c_166,c_999]) ).
tff(c_1007,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_204,c_1003]) ).
tff(c_1008,plain,
! [X166_263] : arboreal(X166_263),
inference(splitRight,[status(thm)],[c_434]) ).
tff(c_182,plain,
~ atomic(tptp0),
inference(cnfTransformation,[status(thm)],[f_456]) ).
tff(c_378,plain,
! [X17_261,X16_262] :
( atomic(X17_261)
| ~ arboreal(X16_262)
| ~ occurrence_of(X16_262,X17_261) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_399,plain,
( atomic(tptp0)
| ~ arboreal('#skF_20') ),
inference(resolution,[status(thm)],[c_204,c_378]) ).
tff(c_413,plain,
~ arboreal('#skF_20'),
inference(negUnitSimplification,[status(thm)],[c_182,c_399]) ).
tff(c_1025,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1008,c_413]) ).
tff(c_1026,plain,
! [X166_254] : arboreal(X166_254),
inference(splitRight,[status(thm)],[c_352]) ).
tff(c_1041,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1026,c_413]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PRO010+3 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.13 % 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
% 0.14/0.33 % Computer : n029.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Apr 8 16:59:19 EDT 2025
% 0.14/0.34 % CPUTime :
% 5.73/2.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.73/2.28
% 5.73/2.28 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------