%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : CSR026+1 : TPTP v9.0.0. Released v3.4.0.
% 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 : n003.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 05:53:24 PM UTC 2025
% Result : Theorem 4.80s 2.07s
% Output : CNFRefutation 4.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 19 ~; 13 |; 2 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 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 : 21 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 17 con; 0-1 aty)
% Number of variables : 9 ( 9 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ relationallinstance > natargument > tptpofobject > natfunction > isa > genls > genlpreds > genlmt > genlinverse > disjointwith > transitivebinarypredicate > tptpquantity > thing > runningshorts > predicate > partiallytangible > mtvisible > microtheory > collection > binarypredicate > #nlpp > f_tptpquantityfn_2 > n_756 > n_1 > c_universalvocabularymt > c_transitivebinarypredicate > c_tptprunningshorts > c_tptpquantityfn_2 > c_tptpofobject > c_tptp_spindleheadmt > c_tptp_spindlecollectormt > c_tptp_member3993_mt > c_tptp_member2701_mt > c_runningshorts > c_genlmt > c_cyclistsmt > c_calendarsvocabularymt > c_calendarsmt > c_basekb
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(mtvisible,type,
mtvisible: $i > $o ).
tff(microtheory,type,
microtheory: $i > $o ).
tff(genls,type,
genls: ( $i * $i ) > $o ).
tff(genlpreds,type,
genlpreds: ( $i * $i ) > $o ).
tff(collection,type,
collection: $i > $o ).
tff(tptpofobject,type,
tptpofobject: ( $i * $i ) > $o ).
tff(f_tptpquantityfn_2,type,
f_tptpquantityfn_2: $i > $i ).
tff(c_runningshorts,type,
c_runningshorts: $i ).
tff(binarypredicate,type,
binarypredicate: $i > $o ).
tff(c_tptprunningshorts,type,
c_tptprunningshorts: $i ).
tff(c_calendarsmt,type,
c_calendarsmt: $i ).
tff(genlmt,type,
genlmt: ( $i * $i ) > $o ).
tff(c_genlmt,type,
c_genlmt: $i ).
tff(isa,type,
isa: ( $i * $i ) > $o ).
tff(c_transitivebinarypredicate,type,
c_transitivebinarypredicate: $i ).
tff(c_tptpquantityfn_2,type,
c_tptpquantityfn_2: $i ).
tff(predicate,type,
predicate: $i > $o ).
tff(c_cyclistsmt,type,
c_cyclistsmt: $i ).
tff(c_calendarsvocabularymt,type,
c_calendarsvocabularymt: $i ).
tff(disjointwith,type,
disjointwith: ( $i * $i ) > $o ).
tff(c_tptp_member3993_mt,type,
c_tptp_member3993_mt: $i ).
tff(thing,type,
thing: $i > $o ).
tff(runningshorts,type,
runningshorts: $i > $o ).
tff(c_tptp_member2701_mt,type,
c_tptp_member2701_mt: $i ).
tff(c_tptpofobject,type,
c_tptpofobject: $i ).
tff(natfunction,type,
natfunction: ( $i * $i ) > $o ).
tff(c_tptp_spindleheadmt,type,
c_tptp_spindleheadmt: $i ).
tff(c_basekb,type,
c_basekb: $i ).
tff(n_1,type,
n_1: $i ).
tff(natargument,type,
natargument: ( $i * $i * $i ) > $o ).
tff(c_universalvocabularymt,type,
c_universalvocabularymt: $i ).
tff(transitivebinarypredicate,type,
transitivebinarypredicate: $i > $o ).
tff(n_756,type,
n_756: $i ).
tff(genlinverse,type,
genlinverse: ( $i * $i ) > $o ).
tff(partiallytangible,type,
partiallytangible: $i > $o ).
tff(c_tptp_spindlecollectormt,type,
c_tptp_spindlecollectormt: $i ).
tff(relationallinstance,type,
relationallinstance: ( $i * $i * $i ) > $o ).
tff(tptpquantity,type,
tptpquantity: $i > $o ).
tff(f_63,axiom,
( mtvisible(c_cyclistsmt)
=> runningshorts(c_tptprunningshorts) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
tff(f_43,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).
tff(f_234,axiom,
! [SPECMT,GENLMT] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).
tff(f_270,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query26) ).
tff(f_49,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
tff(f_47,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
tff(f_59,axiom,
( mtvisible(c_tptp_member2701_mt)
=> relationallinstance(c_tptpofobject,c_runningshorts,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).
tff(f_45,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).
tff(f_56,axiom,
! [INS] :
( ( mtvisible(c_tptp_member2701_mt)
& runningshorts(INS) )
=> tptpofobject(INS,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
tff(c_22,plain,
( runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_118,plain,
~ mtvisible(c_cyclistsmt),
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_10,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_260,plain,
! [GENLMT_137,SPECMT_138] :
( mtvisible(GENLMT_137)
| ~ genlmt(SPECMT_138,GENLMT_137)
| ~ mtvisible(SPECMT_138) ),
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_275,plain,
( mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[status(thm)],[c_10,c_260]) ).
tff(c_295,plain,
~ mtvisible(c_tptp_spindleheadmt),
inference(negUnitSimplification,[status(thm)],[c_118,c_275]) ).
tff(c_116,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnfTransformation,[status(thm)],[f_270]) ).
tff(c_16,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_269,plain,
( mtvisible(c_tptp_member3993_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) ),
inference(resolution,[status(thm)],[c_16,c_260]) ).
tff(c_289,plain,
mtvisible(c_tptp_member3993_mt),
inference(demodulation,[status(thm),theory(equality)],[c_116,c_269]) ).
tff(c_14,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_286,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member3993_mt) ),
inference(resolution,[status(thm)],[c_14,c_260]) ).
tff(c_320,plain,
mtvisible(c_tptp_spindleheadmt),
inference(demodulation,[status(thm),theory(equality)],[c_289,c_286]) ).
tff(c_321,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_295,c_320]) ).
tff(c_322,plain,
runningshorts(c_tptprunningshorts),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_20,plain,
( relationallinstance(c_tptpofobject,c_runningshorts,f_tptpquantityfn_2(n_756))
| ~ mtvisible(c_tptp_member2701_mt) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_544,plain,
~ mtvisible(c_tptp_member2701_mt),
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_12,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
inference(cnfTransformation,[status(thm)],[f_45]) ).
tff(c_545,plain,
! [GENLMT_188,SPECMT_189] :
( mtvisible(GENLMT_188)
| ~ genlmt(SPECMT_189,GENLMT_188)
| ~ mtvisible(SPECMT_189) ),
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_557,plain,
( mtvisible(c_tptp_member2701_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) ),
inference(resolution,[status(thm)],[c_12,c_545]) ).
tff(c_577,plain,
mtvisible(c_tptp_member2701_mt),
inference(demodulation,[status(thm),theory(equality)],[c_116,c_557]) ).
tff(c_579,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_544,c_577]) ).
tff(c_581,plain,
mtvisible(c_tptp_member2701_mt),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_18,plain,
! [INS_1] :
( tptpofobject(INS_1,f_tptpquantityfn_2(n_756))
| ~ runningshorts(INS_1)
| ~ mtvisible(c_tptp_member2701_mt) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_638,plain,
! [INS_192] :
( tptpofobject(INS_192,f_tptpquantityfn_2(n_756))
| ~ runningshorts(INS_192) ),
inference(demodulation,[status(thm),theory(equality)],[c_581,c_18]) ).
tff(c_114,plain,
~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),
inference(cnfTransformation,[status(thm)],[f_270]) ).
tff(c_647,plain,
~ runningshorts(c_tptprunningshorts),
inference(resolution,[status(thm)],[c_638,c_114]) ).
tff(c_654,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_322,c_647]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR026+1 : TPTP v9.0.0. Released v3.4.0.
% 0.07/0.13 % 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
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 7 16:35:18 EDT 2025
% 0.14/0.34 % CPUTime :
% 4.80/2.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.80/2.07
% 4.80/2.07 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------