%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : CSR068+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/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 05:53:54 PM UTC 2025
% Result : Theorem 4.19s 2.01s
% Output : CNFRefutation 4.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 11 ~; 7 |; 2 &)
% ( 0 <=>; 4 =>; 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 : 16 ( 16 usr; 15 con; 0-1 aty)
% Number of variables : 7 ( 7 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ relationallinstance > natargument > tptpofobject > natfunction > isa > genls > genlpreds > genlmt > genlinverse > disjointwith > transitivebinarypredicate > tptpquantity > thing > predicate > partiallytangible > mtvisible > microtheory > furpelt > collection > binarypredicate > #nlpp > f_tptpquantityfn_1 > n_328 > n_1 > c_universalvocabularymt > c_transitivebinarypredicate > c_tptpquantityfn_1 > c_tptpofobject > c_tptp_spindleheadmt > c_tptp_member2356_mt > c_theprototypicalfurpelt > c_genlmt > c_furpelt > 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(binarypredicate,type,
binarypredicate: $i > $o ).
tff(c_calendarsmt,type,
c_calendarsmt: $i ).
tff(genlmt,type,
genlmt: ( $i * $i ) > $o ).
tff(n_328,type,
n_328: $i ).
tff(c_genlmt,type,
c_genlmt: $i ).
tff(c_theprototypicalfurpelt,type,
c_theprototypicalfurpelt: $i ).
tff(isa,type,
isa: ( $i * $i ) > $o ).
tff(c_tptpquantityfn_1,type,
c_tptpquantityfn_1: $i ).
tff(c_transitivebinarypredicate,type,
c_transitivebinarypredicate: $i ).
tff(c_furpelt,type,
c_furpelt: $i ).
tff(furpelt,type,
furpelt: $i > $o ).
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(thing,type,
thing: $i > $o ).
tff(c_tptpofobject,type,
c_tptpofobject: $i ).
tff(natfunction,type,
natfunction: ( $i * $i ) > $o ).
tff(c_tptp_member2356_mt,type,
c_tptp_member2356_mt: $i ).
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(f_tptpquantityfn_1,type,
f_tptpquantityfn_1: $i > $i ).
tff(genlinverse,type,
genlinverse: ( $i * $i ) > $o ).
tff(partiallytangible,type,
partiallytangible: $i > $o ).
tff(relationallinstance,type,
relationallinstance: ( $i * $i * $i ) > $o ).
tff(tptpquantity,type,
tptpquantity: $i > $o ).
tff(f_49,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).
tff(f_59,axiom,
( mtvisible(c_tptp_spindleheadmt)
=> relationallinstance(c_tptpofobject,c_furpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).
tff(f_266,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query68) ).
tff(f_47,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).
tff(f_230,axiom,
! [SPECMT,GENLMT] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just47) ).
tff(f_56,axiom,
! [INS] :
( ( mtvisible(c_tptp_spindleheadmt)
& furpelt(INS) )
=> tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
tff(c_16,plain,
furpelt(c_theprototypicalfurpelt),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_20,plain,
( relationallinstance(c_tptpofobject,c_furpelt,f_tptpquantityfn_1(n_328))
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_249,plain,
~ mtvisible(c_tptp_spindleheadmt),
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_114,plain,
mtvisible(c_tptp_member2356_mt),
inference(cnfTransformation,[status(thm)],[f_266]) ).
tff(c_14,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_250,plain,
! [GENLMT_135,SPECMT_136] :
( mtvisible(GENLMT_135)
| ~ genlmt(SPECMT_136,GENLMT_135)
| ~ mtvisible(SPECMT_136) ),
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_268,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ mtvisible(c_tptp_member2356_mt) ),
inference(resolution,[status(thm)],[c_14,c_250]) ).
tff(c_280,plain,
mtvisible(c_tptp_spindleheadmt),
inference(demodulation,[status(thm),theory(equality)],[c_114,c_268]) ).
tff(c_282,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_249,c_280]) ).
tff(c_284,plain,
mtvisible(c_tptp_spindleheadmt),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_18,plain,
! [INS_1] :
( tptpofobject(INS_1,f_tptpquantityfn_1(n_328))
| ~ furpelt(INS_1)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_336,plain,
! [INS_139] :
( tptpofobject(INS_139,f_tptpquantityfn_1(n_328))
| ~ furpelt(INS_139) ),
inference(demodulation,[status(thm),theory(equality)],[c_284,c_18]) ).
tff(c_112,plain,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(cnfTransformation,[status(thm)],[f_266]) ).
tff(c_345,plain,
~ furpelt(c_theprototypicalfurpelt),
inference(resolution,[status(thm)],[c_336,c_112]) ).
tff(c_352,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : CSR068+1 : TPTP v9.0.0. Released v3.4.0.
% 0.10/0.13 % 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
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 7 17:09:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 4.19/2.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.19/2.01
% 4.19/2.01 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------