%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR027+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:00:06 AM UTC 2026
% Result : Theorem 5.17s 2.97s
% Output : Refutation 5.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 63
% Syntax : Number of formulae : 128 ( 51 unt; 0 typ; 0 def)
% Number of atoms : 224 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 620 ( 4 ~; 0 |; 21 &; 520 @)
% ( 0 <=>; 75 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 46 ( 45 usr; 24 con; 0-4 aty)
% Number of variables : 219 ( 0 ^; 216 !; 3 ?; 219 :)
% Comments :
%------------------------------------------------------------------------------
thf(mtvisible_decl,type,
mtvisible: $i > $o ).
thf(c_tptp_spindlecollectormt_decl,type,
c_tptp_spindlecollectormt: $i ).
thf(tptp_8_875_decl,type,
tptp_8_875: $i > $i > $o ).
thf(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786_decl,type,
c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786: $i ).
thf(tptpcol_16_31868_decl,type,
tptpcol_16_31868: $i > $o ).
thf(transitivebinarypredicate_decl,type,
transitivebinarypredicate: $i > $o ).
thf(c_genlmt_decl,type,
c_genlmt: $i ).
thf(disjointwith_decl,type,
disjointwith: $i > $i > $o ).
thf(collection_decl,type,
collection: $i > $o ).
thf(genls_decl,type,
genls: $i > $i > $o ).
thf(resultisaarg_decl,type,
resultisaarg: $i > $i > $o ).
thf(c_relationallexistsfn_decl,type,
c_relationallexistsfn: $i ).
thf(n_4_decl,type,
n_4: $i ).
thf(genlmt_decl,type,
genlmt: $i > $i > $o ).
thf(natargument_decl,type,
natargument: $i > $i > $i > $o ).
thf(f_subcollectionofwithrelationfromtypefn_decl,type,
f_subcollectionofwithrelationfromtypefn: $i > $i > $i > $i ).
thf(n_1_decl,type,
n_1: $i ).
thf(n_2_decl,type,
n_2: $i ).
thf(f_relationallexistsfn_decl,type,
f_relationallexistsfn: $i > $i > $i > $i > $i ).
thf(isa_decl,type,
isa: $i > $i > $o ).
thf(c_unitvectorinterval_decl,type,
c_unitvectorinterval: $i ).
thf(unitvectorinterval_decl,type,
unitvectorinterval: $i > $o ).
thf(microtheory_decl,type,
microtheory: $i > $o ).
thf(relationallexists_decl,type,
relationallexists: $i > $i > $i > $o ).
thf(binarypredicate_decl,type,
binarypredicate: $i > $o ).
thf(c_transitivebinarypredicate_decl,type,
c_transitivebinarypredicate: $i ).
thf(n_3_decl,type,
n_3: $i ).
thf(subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_decl,type,
subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent: $i > $o ).
thf(c_directionoftranslation_throughout_decl,type,
c_directionoftranslation_throughout: $i ).
thf(c_movement_translationevent_decl,type,
c_movement_translationevent: $i ).
thf(c_calendarsmt_decl,type,
c_calendarsmt: $i ).
thf(c_calendarsvocabularymt_decl,type,
c_calendarsvocabularymt: $i ).
thf(movement_translationevent_decl,type,
movement_translationevent: $i > $o ).
thf(thing_decl,type,
thing: $i > $o ).
thf(c_basekb_decl,type,
c_basekb: $i ).
thf(natfunction_decl,type,
natfunction: $i > $i > $o ).
thf(c_subcollectionofwithrelationfromtypefn_decl,type,
c_subcollectionofwithrelationfromtypefn: $i ).
thf(c_cyclistsmt_decl,type,
c_cyclistsmt: $i ).
thf(c_tptp_member3993_mt_decl,type,
c_tptp_member3993_mt: $i ).
thf(c_tptp_spindleheadmt_decl,type,
c_tptp_spindleheadmt: $i ).
thf(c_universalvocabularymt_decl,type,
c_universalvocabularymt: $i ).
thf(c_tptp_member2610_mt_decl,type,
c_tptp_member2610_mt: $i ).
thf(c_tptp_8_875_decl,type,
c_tptp_8_875: $i ).
thf(c_tptpcol_16_31868_decl,type,
c_tptpcol_16_31868: $i ).
thf(tptpcol_4_24578_decl,type,
tptpcol_4_24578: $i > $o ).
thf(18,axiom,
! [A: $i] :
( ( c_transitivebinarypredicate @ ( A @ isa ) )
=> ( A @ transitivebinarypredicate ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just56) ).
thf(101,plain,
! [A: $i] :
( ( c_transitivebinarypredicate @ ( A @ isa ) )
=> ( A @ transitivebinarypredicate ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(28,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ relationallexists ) ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just53) ).
thf(120,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ relationallexists ) ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i] : ( A @ ( n_1 @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationfromtypefn ) ) @ natargument ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just44) ).
thf(85,plain,
! [A: $i,B: $i,C: $i] : ( A @ ( n_1 @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationfromtypefn ) ) @ natargument ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(1,conjecture,
? [A: $i] :
( ( c_tptp_spindlecollectormt @ mtvisible )
=> ( ( A @ tptpcol_16_31868 )
& ( A @ ( c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @ tptp_8_875 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query27) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( c_tptp_spindlecollectormt @ mtvisible )
=> ( ( A @ tptpcol_16_31868 )
& ( A @ ( c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @ tptp_8_875 ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(65,plain,
~ ? [A: $i] :
( ( c_tptp_spindlecollectormt @ mtvisible )
=> ( ( A @ tptpcol_16_31868 )
& ( A @ ( c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @ tptp_8_875 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(64,axiom,
c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @ subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).
thf(188,plain,
c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @ subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(54,axiom,
c_universalvocabularymt @ mtvisible,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just79) ).
thf(173,plain,
c_universalvocabularymt @ mtvisible,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i,D: $i] : ( C @ ( n_3 @ ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ natargument ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just74) ).
thf(105,plain,
! [A: $i,B: $i,C: $i,D: $i] : ( C @ ( n_3 @ ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ natargument ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(27,axiom,
! [A: $i] :
( ( A @ movement_translationevent )
=> ( c_movement_translationevent @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).
thf(118,plain,
! [A: $i] :
( ( A @ movement_translationevent )
=> ( c_movement_translationevent @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(29,axiom,
! [A: $i,B: $i,C: $i,D: $i] : ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ thing ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just76) ).
thf(123,plain,
! [A: $i,B: $i,C: $i,D: $i] : ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ thing ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(43,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just67) ).
thf(150,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] : ( B @ ( n_2 @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationfromtypefn ) ) @ natargument ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just45) ).
thf(87,plain,
! [A: $i,B: $i,C: $i] : ( B @ ( n_2 @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationfromtypefn ) ) @ natargument ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(9,axiom,
n_4 @ ( c_relationallexistsfn @ resultisaarg ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just2) ).
thf(82,plain,
n_4 @ ( c_relationallexistsfn @ resultisaarg ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just59) ).
thf(107,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(39,axiom,
! [A: $i,B: $i,C: $i,D: $i] : ( A @ ( n_1 @ ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ natargument ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just72) ).
thf(142,plain,
! [A: $i,B: $i,C: $i,D: $i] : ( A @ ( n_1 @ ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ natargument ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(44,axiom,
c_tptp_spindleheadmt @ ( c_tptp_member3993_mt @ genlmt ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).
thf(153,plain,
c_tptp_spindleheadmt @ ( c_tptp_member3993_mt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(55,axiom,
c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @ isa ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).
thf(174,plain,
c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @ isa ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(62,axiom,
c_tptp_member3993_mt @ ( c_tptp_spindlecollectormt @ genlmt ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
thf(185,plain,
c_tptp_member3993_mt @ ( c_tptp_spindlecollectormt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(61,axiom,
c_basekb @ mtvisible,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just55) ).
thf(184,plain,
c_basekb @ mtvisible,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(30,axiom,
! [A: $i] :
( ( c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( A @ isa ) )
=> ( A @ subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).
thf(125,plain,
! [A: $i] :
( ( c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( A @ isa ) )
=> ( A @ subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(46,axiom,
! [A: $i] :
( ( A @ unitvectorinterval )
=> ( c_unitvectorinterval @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just42) ).
thf(157,plain,
! [A: $i] :
( ( A @ unitvectorinterval )
=> ( c_unitvectorinterval @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just66) ).
thf(93,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ ( B @ disjointwith ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
thf(78,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ ( B @ disjointwith ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(50,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just61) ).
thf(164,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(58,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ genlmt ) )
& ( A @ mtvisible ) )
=> ( B @ mtvisible ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just63) ).
thf(179,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ genlmt ) )
& ( A @ mtvisible ) )
=> ( B @ mtvisible ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(26,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just65) ).
thf(116,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).
thf(74,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i,D: $i] : ( B @ ( n_2 @ ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ natargument ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just73) ).
thf(89,plain,
! [A: $i,B: $i,C: $i,D: $i] : ( B @ ( n_2 @ ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ natargument ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(34,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just58) ).
thf(133,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(3,axiom,
c_genlmt @ transitivebinarypredicate,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).
thf(70,plain,
c_genlmt @ transitivebinarypredicate,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(36,axiom,
! [A: $i,B: $i,C: $i] : ( C @ ( n_3 @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationfromtypefn ) ) @ natargument ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just46) ).
thf(137,plain,
! [A: $i,B: $i,C: $i] : ( C @ ( n_3 @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationfromtypefn ) ) @ natargument ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(22,axiom,
! [A: $i] :
( ( A @ transitivebinarypredicate )
=> ( c_transitivebinarypredicate @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just57) ).
thf(109,plain,
! [A: $i] :
( ( A @ transitivebinarypredicate )
=> ( c_transitivebinarypredicate @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ relationallexists ) ) )
=> ( C @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just52) ).
thf(96,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ relationallexists ) ) )
=> ( C @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(42,axiom,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just70) ).
thf(148,plain,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(48,axiom,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just69) ).
thf(161,plain,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just30) ).
thf(71,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(40,axiom,
! [A: $i,B: $i,C: $i] : ( C @ ( B @ ( A @ f_subcollectionofwithrelationfromtypefn ) ) @ collection ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just47) ).
thf(144,plain,
! [A: $i,B: $i,C: $i] : ( C @ ( B @ ( A @ f_subcollectionofwithrelationfromtypefn ) ) @ collection ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(59,axiom,
c_tptp_member2610_mt @ ( c_tptp_spindlecollectormt @ genlmt ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
thf(181,plain,
c_tptp_member2610_mt @ ( c_tptp_spindlecollectormt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(47,axiom,
! [A: $i,B: $i,C: $i,D: $i] : ( c_relationallexistsfn @ ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ natfunction ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just71) ).
thf(159,plain,
! [A: $i,B: $i,C: $i,D: $i] : ( c_relationallexistsfn @ ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ natfunction ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(24,axiom,
c_calendarsvocabularymt @ ( c_calendarsmt @ genlmt ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just3) ).
thf(113,plain,
c_calendarsvocabularymt @ ( c_calendarsmt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( C @ ( A @ disjointwith ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just32) ).
thf(76,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( C @ ( A @ disjointwith ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ relationallexists ) ) )
=> ( A @ binarypredicate ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just54) ).
thf(98,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ relationallexists ) ) )
=> ( A @ binarypredicate ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i,D: $i] : ( D @ ( n_4 @ ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ natargument ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just75) ).
thf(103,plain,
! [A: $i,B: $i,C: $i,D: $i] : ( D @ ( n_4 @ ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ natargument ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(38,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ isa ) ) )
=> ( C @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just62) ).
thf(140,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ isa ) ) )
=> ( C @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(14,axiom,
! [A: $i] :
( ( c_unitvectorinterval @ ( A @ isa ) )
=> ( A @ unitvectorinterval ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just41) ).
thf(91,plain,
! [A: $i] :
( ( c_unitvectorinterval @ ( A @ isa ) )
=> ( A @ unitvectorinterval ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(32,axiom,
c_basekb @ ( c_calendarsvocabularymt @ genlmt ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
thf(130,plain,
c_basekb @ ( c_calendarsvocabularymt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(35,axiom,
! [A: $i,B: $i,C: $i] : ( c_subcollectionofwithrelationfromtypefn @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationfromtypefn ) ) @ natfunction ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just43) ).
thf(135,plain,
! [A: $i,B: $i,C: $i] : ( c_subcollectionofwithrelationfromtypefn @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationfromtypefn ) ) @ natfunction ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( B @ ( C @ disjointwith ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just33) ).
thf(80,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( B @ ( C @ disjointwith ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(51,axiom,
c_cyclistsmt @ ( c_tptp_spindleheadmt @ genlmt ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
thf(167,plain,
c_cyclistsmt @ ( c_tptp_spindleheadmt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ ( B @ disjointwith ) )
& ( C @ ( A @ isa ) )
& ( B @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just16) ).
thf(127,plain,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ ( B @ disjointwith ) )
& ( C @ ( A @ isa ) )
& ( B @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(57,axiom,
! [A: $i] :
( ( A @ tptpcol_16_31868 )
=> ( c_tptpcol_16_31868 @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just35) ).
thf(177,plain,
! [A: $i] :
( ( A @ tptpcol_16_31868 )
=> ( c_tptpcol_16_31868 @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(60,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tptp_8_875 ) )
=> ( B @ tptpcol_4_24578 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just50) ).
thf(182,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tptp_8_875 ) )
=> ( B @ tptpcol_4_24578 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(45,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just60) ).
thf(154,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(56,axiom,
! [A: $i] :
( ( c_tptpcol_16_31868 @ ( A @ isa ) )
=> ( A @ tptpcol_16_31868 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
thf(175,plain,
! [A: $i] :
( ( c_tptpcol_16_31868 @ ( A @ isa ) )
=> ( A @ tptpcol_16_31868 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(63,axiom,
! [A: $i] :
( ( ( c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( A @ isa ) )
& ( c_tptp_member2610_mt @ mtvisible ) )
=> ( c_tptpcol_16_31868 @ ( c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( c_tptp_8_875 @ ( A @ f_relationallexistsfn ) ) ) @ ( A @ tptp_8_875 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
thf(186,plain,
! [A: $i] :
( ( ( c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( A @ isa ) )
& ( c_tptp_member2610_mt @ mtvisible ) )
=> ( c_tptpcol_16_31868 @ ( c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( c_tptp_8_875 @ ( A @ f_relationallexistsfn ) ) ) @ ( A @ tptp_8_875 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(25,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just64) ).
thf(114,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(53,axiom,
( ( c_tptp_member2610_mt @ mtvisible )
=> ( c_tptpcol_16_31868 @ ( c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( c_tptp_8_875 @ relationallexists ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).
thf(171,plain,
( ( c_tptp_member2610_mt @ mtvisible )
=> ( c_tptpcol_16_31868 @ ( c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( c_tptp_8_875 @ relationallexists ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(37,axiom,
c_calendarsmt @ ( c_cyclistsmt @ genlmt ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).
thf(139,plain,
c_calendarsmt @ ( c_cyclistsmt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(52,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tptp_8_875 ) )
=> ( A @ subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just51) ).
thf(168,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tptp_8_875 ) )
=> ( A @ subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(41,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( B @ ( C @ relationallexists ) ) )
& ( B @ ( A @ isa ) ) )
=> ( D @ ( D @ ( B @ ( C @ ( A @ f_relationallexistsfn ) ) ) @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
thf(146,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( B @ ( C @ relationallexists ) ) )
& ( B @ ( A @ isa ) ) )
=> ( D @ ( D @ ( B @ ( C @ ( A @ f_relationallexistsfn ) ) ) @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(33,axiom,
! [A: $i] :
( ( c_movement_translationevent @ ( A @ isa ) )
=> ( A @ movement_translationevent ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just36) ).
thf(131,plain,
! [A: $i] :
( ( c_movement_translationevent @ ( A @ isa ) )
=> ( A @ movement_translationevent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(49,axiom,
c_universalvocabularymt @ ( c_basekb @ genlmt ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).
thf(163,plain,
c_universalvocabularymt @ ( c_basekb @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(23,axiom,
! [A: $i] :
( ( A @ subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent )
=> ( c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just49) ).
thf(111,plain,
! [A: $i] :
( ( A @ subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent )
=> ( c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genlmt ) )
& ( B @ ( A @ genlmt ) ) )
=> ( C @ ( A @ genlmt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just68) ).
thf(83,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genlmt ) )
& ( B @ ( A @ genlmt ) ) )
=> ( C @ ( A @ genlmt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(189,plain,
$false,
inference(e,[status(thm)],[101,120,85,65,188,173,105,118,123,150,87,82,107,142,153,174,185,184,125,157,93,78,164,179,116,74,89,133,70,137,109,96,148,161,71,144,181,159,113,76,98,103,140,91,130,135,80,167,127,177,182,154,175,186,114,171,139,168,146,131,163,111,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR027+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.13/0.42 % Computer : n003.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8046.5625MB
% 0.13/0.42 % OS : Linux 6.8.0-71-generic
% 0.13/0.42 % CPULimit : 300
% 0.13/0.42 % WCLimit : 300
% 0.13/0.42 % DateTime : Sat Sep 26 23:59:39 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.42 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.82/1.01 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.31/1.25 % [INFO] Parsing done (242ms).
% 1.31/1.27 % [INFO] Running in sequential loop mode.
% 2.12/1.67 % [INFO] eprover registered as external prover.
% 2.12/1.68 % [INFO] Scanning for conjecture ...
% 2.30/1.78 % [INFO] Found a conjecture (or negated_conjecture) and 79 axioms. Running axiom selection ...
% 2.69/1.90 % [INFO] Axiom selection finished. Selected 62 axioms (removed 17 axioms).
% 2.69/2.03 % [INFO] Problem is first-order (TPTP FOF).
% 2.69/2.04 % [INFO] Type checking passed.
% 3.01/2.05 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 5.17/2.96 % External prover 'e' found a proof!
% 5.17/2.96 % [INFO] Killing All external provers ...
% 5.17/2.97 % Time passed: 2402ms (effective reasoning time: 1691ms)
% 5.17/2.97 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 5.17/2.97 % Axioms used in derivation (62): just64, just10, just8, just16, just70, just12, just59, just60, just13, just72, just3, just73, just62, just36, just51, just47, just53, just75, just43, just57, just15, just4, just52, just46, just35, just68, just63, just74, just11, just79, just7, just42, just56, just31, just67, just34, just45, just66, just49, just55, just71, just1, just6, just30, just41, just61, just29, just37, just50, just32, just65, just48, just54, just69, just33, just76, just58, just5, just2, just44, just14, just9
% 5.17/2.97 % No. of inferences in proof: 128
% 5.17/2.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2402 ms resp. 1691 ms w/o parsing
% 5.61/3.05 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.61/3.05 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------