%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : CSR027+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 : n019.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 05:53:25 PM UTC 2025
% Result : Theorem 6.58s 2.53s
% Output : CNFRefutation 6.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 20 ~; 15 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 28 ( 27 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 23 con; 0-4 aty)
% Number of variables : 22 ( 21 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ relationallexists > natargument > tptp_8_875 > subevents > resultisaarg > natfunction > isa > genls > genlpreds > genlmt > genlinverse > disjointwith > directionoftranslation_throughout > unitvectorinterval > transitivebinarypredicate > tptpcol_4_24578 > tptpcol_16_31868 > thing > subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent > predicate > positiveinteger > mtvisible > movement_translationevent > microtheory > function_denotational > collection > binarypredicate > f_relationallexistsfn > f_subcollectionofwithrelationfromtypefn > #nlpp > n_4 > n_3 > n_2 > n_1 > c_universalvocabularymt > c_unitvectorinterval > c_transitivebinarypredicate > c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 > c_tptpcol_16_31868 > c_tptp_spindleheadmt > c_tptp_spindlecollectormt > c_tptp_member3993_mt > c_tptp_member2610_mt > c_tptp_8_875 > c_subcollectionofwithrelationfromtypefn > c_relationallexistsfn > c_movement_translationevent > c_genlmt > c_directionoftranslation_throughout > 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(c_tptp_8_875,type,
c_tptp_8_875: $i ).
tff(genlpreds,type,
genlpreds: ( $i * $i ) > $o ).
tff(collection,type,
collection: $i > $o ).
tff(n_4,type,
n_4: $i ).
tff(directionoftranslation_throughout,type,
directionoftranslation_throughout: ( $i * $i ) > $o ).
tff(function_denotational,type,
function_denotational: $i > $o ).
tff(binarypredicate,type,
binarypredicate: $i > $o ).
tff(c_tptp_member2610_mt,type,
c_tptp_member2610_mt: $i ).
tff(c_calendarsmt,type,
c_calendarsmt: $i ).
tff(genlmt,type,
genlmt: ( $i * $i ) > $o ).
tff(f_subcollectionofwithrelationfromtypefn,type,
f_subcollectionofwithrelationfromtypefn: ( $i * $i * $i ) > $i ).
tff(c_directionoftranslation_throughout,type,
c_directionoftranslation_throughout: $i ).
tff(c_genlmt,type,
c_genlmt: $i ).
tff(isa,type,
isa: ( $i * $i ) > $o ).
tff(c_unitvectorinterval,type,
c_unitvectorinterval: $i ).
tff(c_tptpcol_16_31868,type,
c_tptpcol_16_31868: $i ).
tff(c_transitivebinarypredicate,type,
c_transitivebinarypredicate: $i ).
tff(predicate,type,
predicate: $i > $o ).
tff(n_2,type,
n_2: $i ).
tff(relationallexists,type,
relationallexists: ( $i * $i * $i ) > $o ).
tff(c_cyclistsmt,type,
c_cyclistsmt: $i ).
tff(subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent,type,
subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent: $i > $o ).
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(unitvectorinterval,type,
unitvectorinterval: $i > $o ).
tff(c_relationallexistsfn,type,
c_relationallexistsfn: $i ).
tff(subevents,type,
subevents: ( $i * $i ) > $o ).
tff(movement_translationevent,type,
movement_translationevent: $i > $o ).
tff(thing,type,
thing: $i > $o ).
tff(natfunction,type,
natfunction: ( $i * $i ) > $o ).
tff(c_tptp_spindleheadmt,type,
c_tptp_spindleheadmt: $i ).
tff(c_subcollectionofwithrelationfromtypefn,type,
c_subcollectionofwithrelationfromtypefn: $i ).
tff(positiveinteger,type,
positiveinteger: $i > $o ).
tff(c_basekb,type,
c_basekb: $i ).
tff(n_1,type,
n_1: $i ).
tff(f_relationallexistsfn,type,
f_relationallexistsfn: ( $i * $i * $i * $i ) > $i ).
tff(natargument,type,
natargument: ( $i * $i * $i ) > $o ).
tff(c_universalvocabularymt,type,
c_universalvocabularymt: $i ).
tff(transitivebinarypredicate,type,
transitivebinarypredicate: $i > $o ).
tff(tptpcol_4_24578,type,
tptpcol_4_24578: $i > $o ).
tff(n_3,type,
n_3: $i ).
tff(c_movement_translationevent,type,
c_movement_translationevent: $i ).
tff(resultisaarg,type,
resultisaarg: ( $i * $i ) > $o ).
tff(tptpcol_16_31868,type,
tptpcol_16_31868: $i > $o ).
tff(genlinverse,type,
genlinverse: ( $i * $i ) > $o ).
tff(tptp_8_875,type,
tptp_8_875: ( $i * $i ) > $o ).
tff(c_tptp_spindlecollectormt,type,
c_tptp_spindlecollectormt: $i ).
tff(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,type,
c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786: $i ).
tff(f_71,axiom,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).
tff(f_350,negated_conjecture,
~ ? [X] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X)
& tptpcol_16_31868(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query27) ).
tff(f_55,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
tff(f_289,axiom,
! [SPECMT,GENLMT] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just63) ).
tff(f_69,axiom,
( mtvisible(c_tptp_member2610_mt)
=> relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).
tff(f_40,axiom,
! [TERM,INDEPCOL,PRED,DEPCOL] :
( ( isa(TERM,INDEPCOL)
& relationallexists(PRED,INDEPCOL,DEPCOL) )
=> isa(f_relationallexistsfn(TERM,PRED,INDEPCOL,DEPCOL),DEPCOL) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
tff(f_169,axiom,
! [X] :
( isa(X,c_tptpcol_16_31868)
=> tptpcol_16_31868(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
tff(f_66,axiom,
! [TERM] :
( ( mtvisible(c_tptp_member2610_mt)
& isa(TERM,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
=> tptp_8_875(TERM,f_relationallexistsfn(TERM,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
tff(c_28,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_160,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnfTransformation,[status(thm)],[f_350]) ).
tff(c_18,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_1055,plain,
! [GENLMT_339,SPECMT_340] :
( mtvisible(GENLMT_339)
| ~ genlmt(SPECMT_340,GENLMT_339)
| ~ mtvisible(SPECMT_340) ),
inference(cnfTransformation,[status(thm)],[f_289]) ).
tff(c_1076,plain,
( mtvisible(c_tptp_member2610_mt)
| ~ mtvisible(c_tptp_spindlecollectormt) ),
inference(resolution,[status(thm)],[c_18,c_1055]) ).
tff(c_1094,plain,
mtvisible(c_tptp_member2610_mt),
inference(demodulation,[status(thm),theory(equality)],[c_160,c_1076]) ).
tff(c_26,plain,
( relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_1160,plain,
relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),
inference(demodulation,[status(thm),theory(equality)],[c_1094,c_26]) ).
tff(c_1253,plain,
! [TERM_405,PRED_406,INDEPCOL_407,DEPCOL_408] :
( isa(f_relationallexistsfn(TERM_405,PRED_406,INDEPCOL_407,DEPCOL_408),DEPCOL_408)
| ~ relationallexists(PRED_406,INDEPCOL_407,DEPCOL_408)
| ~ isa(TERM_405,INDEPCOL_407) ),
inference(cnfTransformation,[status(thm)],[f_40]) ).
tff(c_68,plain,
! [X_47] :
( tptpcol_16_31868(X_47)
| ~ isa(X_47,c_tptpcol_16_31868) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_1823,plain,
! [TERM_434,PRED_435,INDEPCOL_436] :
( tptpcol_16_31868(f_relationallexistsfn(TERM_434,PRED_435,INDEPCOL_436,c_tptpcol_16_31868))
| ~ relationallexists(PRED_435,INDEPCOL_436,c_tptpcol_16_31868)
| ~ isa(TERM_434,INDEPCOL_436) ),
inference(resolution,[status(thm)],[c_1253,c_68]) ).
tff(c_24,plain,
! [TERM_5] :
( tptp_8_875(TERM_5,f_relationallexistsfn(TERM_5,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(TERM_5,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(cnfTransformation,[status(thm)],[f_66]) ).
tff(c_1363,plain,
! [TERM_413] :
( tptp_8_875(TERM_413,f_relationallexistsfn(TERM_413,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(TERM_413,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1094,c_24]) ).
tff(c_162,plain,
! [X_146] :
( ~ tptpcol_16_31868(X_146)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X_146) ),
inference(cnfTransformation,[status(thm)],[f_350]) ).
tff(c_1373,plain,
( ~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(resolution,[status(thm)],[c_1363,c_162]) ).
tff(c_1378,plain,
~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_1373]) ).
tff(c_1826,plain,
( ~ relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
| ~ isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
inference(resolution,[status(thm)],[c_1823,c_1378]) ).
tff(c_1833,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_28,c_1160,c_1826]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR027+1 : TPTP v9.0.0. Released v3.4.0.
% 0.03/0.13 % 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
% 0.13/0.34 % Computer : n019.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 : Mon Apr 7 16:35:32 EDT 2025
% 0.13/0.34 % CPUTime :
% 6.58/2.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.58/2.54
% 6.58/2.54 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------