%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR027-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n008.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 07:00:05 AM UTC 2026
% Result : Unsatisfiable 6.62s 3.10s
% Output : Refutation 7.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 85
% Syntax : Number of formulae : 171 ( 171 unt; 0 typ; 0 def)
% Number of atoms : 171 ( 170 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1230 ( 2 ~; 0 |; 0 &;1228 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 62 ( 60 usr; 27 con; 0-4 aty)
% Number of variables : 310 ( 0 ^; 310 !; 0 ?; 310 :)
% Comments :
%------------------------------------------------------------------------------
thf(mtvisible_decl,type,
mtvisible: $i > $i ).
thf(c_tptp_spindlecollectormt_decl,type,
c_tptp_spindlecollectormt: $i ).
thf(true_decl,type,
true: $i ).
thf(ifeq2_decl,type,
ifeq2: $i > $i > $i > $i > $i ).
thf(tuple2_decl,type,
tuple2: $i > $i > $i ).
thf(tptp_8_875_decl,type,
tptp_8_875: $i > $i > $i ).
thf(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786_decl,type,
c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786: $i ).
thf(tptpcol_16_31868_decl,type,
tptpcol_16_31868: $i > $i ).
thf(a_decl,type,
a: $i ).
thf(b_decl,type,
b: $i ).
thf(ifeq_decl,type,
ifeq: $i > $i > $i > $i > $i ).
thf(ifeq3_decl,type,
ifeq3: $i > $i > $i > $i > $i ).
thf(isa_decl,type,
isa: $i > $i > $i ).
thf(thing_decl,type,
thing: $i > $i ).
thf(c_universalvocabularymt_decl,type,
c_universalvocabularymt: $i ).
thf(genlpreds_decl,type,
genlpreds: $i > $i > $i ).
thf(genlinverse_decl,type,
genlinverse: $i > $i > $i ).
thf(c_tptp_member2610_mt_decl,type,
c_tptp_member2610_mt: $i ).
thf(relationallexists_decl,type,
relationallexists: $i > $i > $i > $i ).
thf(c_tptp_8_875_decl,type,
c_tptp_8_875: $i ).
thf(f_subcollectionofwithrelationfromtypefn_decl,type,
f_subcollectionofwithrelationfromtypefn: $i > $i > $i > $i ).
thf(c_unitvectorinterval_decl,type,
c_unitvectorinterval: $i ).
thf(c_directionoftranslation_throughout_decl,type,
c_directionoftranslation_throughout: $i ).
thf(c_movement_translationevent_decl,type,
c_movement_translationevent: $i ).
thf(c_tptpcol_16_31868_decl,type,
c_tptpcol_16_31868: $i ).
thf(genlmt_decl,type,
genlmt: $i > $i > $i ).
thf(natfunction_decl,type,
natfunction: $i > $i > $i ).
thf(f_relationallexistsfn_decl,type,
f_relationallexistsfn: $i > $i > $i > $i > $i ).
thf(c_relationallexistsfn_decl,type,
c_relationallexistsfn: $i ).
thf(binarypredicate_decl,type,
binarypredicate: $i > $i ).
thf(c_tptp_spindleheadmt_decl,type,
c_tptp_spindleheadmt: $i ).
thf(c_cyclistsmt_decl,type,
c_cyclistsmt: $i ).
thf(collection_decl,type,
collection: $i > $i ).
thf(predicate_decl,type,
predicate: $i > $i ).
thf(natargument_decl,type,
natargument: $i > $i > $i > $i ).
thf(n_2_decl,type,
n_2: $i ).
thf(directionoftranslation_throughout_decl,type,
directionoftranslation_throughout: $i > $i > $i ).
thf(unitvectorinterval_decl,type,
unitvectorinterval: $i > $i ).
thf(c_calendarsmt_decl,type,
c_calendarsmt: $i ).
thf(movement_translationevent_decl,type,
movement_translationevent: $i > $i ).
thf(tuple_decl,type,
tuple: $i > $i > $i > $i ).
thf(disjointwith_decl,type,
disjointwith: $i > $i > $i ).
thf(transitivebinarypredicate_decl,type,
transitivebinarypredicate: $i > $i ).
thf(c_transitivebinarypredicate_decl,type,
c_transitivebinarypredicate: $i ).
thf(microtheory_decl,type,
microtheory: $i > $i ).
thf(n_1_decl,type,
n_1: $i ).
thf(n_3_decl,type,
n_3: $i ).
thf(resultisaarg_decl,type,
resultisaarg: $i > $i > $i ).
thf(n_4_decl,type,
n_4: $i ).
thf(c_tptp_member3993_mt_decl,type,
c_tptp_member3993_mt: $i ).
thf(genls_decl,type,
genls: $i > $i > $i ).
thf(c_basekb_decl,type,
c_basekb: $i ).
thf(subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_decl,type,
subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent: $i > $i ).
thf(c_calendarsvocabularymt_decl,type,
c_calendarsvocabularymt: $i ).
thf(subevents_decl,type,
subevents: $i > $i > $i ).
thf(function_denotational_decl,type,
function_denotational: $i > $i ).
thf(c_genlmt_decl,type,
c_genlmt: $i ).
thf(c_subcollectionofwithrelationfromtypefn_decl,type,
c_subcollectionofwithrelationfromtypefn: $i ).
thf(positiveinteger_decl,type,
positiveinteger: $i > $i ).
thf(tptpcol_4_24578_decl,type,
tptpcol_4_24578: $i > $i ).
thf(34,axiom,
! [C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( B @ ( C @ genlinverse ) @ ( true @ ( A @ ( C @ genlinverse ) @ ifeq3 ) ) ) @ ( true @ ( B @ ( A @ genlpreds ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just28) ).
thf(153,plain,
! [C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( B @ ( C @ genlinverse ) @ ( true @ ( A @ ( C @ genlinverse ) @ ifeq3 ) ) ) @ ( true @ ( B @ ( A @ genlpreds ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(50,axiom,
! [B: $i,A: $i] :
( ( true @ ( A @ subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent @ ( true @ ( B @ ( A @ tptp_8_875 ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just51) ).
thf(185,plain,
! [B: $i,A: $i] :
( ( true @ ( A @ subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent @ ( true @ ( B @ ( A @ tptp_8_875 ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(53,axiom,
! [B: $i,A: $i] :
( ( true @ ( B @ collection @ ( true @ ( B @ ( A @ isa ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just59) ).
thf(191,plain,
! [B: $i,A: $i] :
( ( true @ ( B @ collection @ ( true @ ( B @ ( A @ isa ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ( A @ ifeq3 ) ) ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
thf(95,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ( A @ ifeq3 ) ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
! [C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( B @ ( C @ genlpreds ) @ ( true @ ( A @ ( C @ genlpreds ) @ ifeq3 ) ) ) @ ( true @ ( B @ ( A @ genlpreds ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just22) ).
thf(101,plain,
! [C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( B @ ( C @ genlpreds ) @ ( true @ ( A @ ( C @ genlpreds ) @ ifeq3 ) ) ) @ ( true @ ( B @ ( A @ genlpreds ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(82,axiom,
! [A: $i] :
( ( true @ ( A @ ( A @ genlmt ) @ ( true @ ( A @ microtheory @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just70) ).
thf(249,plain,
! [A: $i] :
( ( true @ ( A @ ( A @ genlmt ) @ ( true @ ( A @ microtheory @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(3,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
thf(88,plain,
a != b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(15,axiom,
! [C: $i,B: $i,A: $i] :
( ( true @ ( B @ collection @ ( true @ ( C @ ( B @ ( A @ relationallexists ) ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just53) ).
thf(115,plain,
! [C: $i,B: $i,A: $i] :
( ( true @ ( B @ collection @ ( true @ ( C @ ( B @ ( A @ relationallexists ) ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(66,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_subcollectionofwithrelationfromtypefn @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationfromtypefn ) ) @ natfunction ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just43) ).
thf(217,plain,
! [C: $i,B: $i,A: $i] :
( ( c_subcollectionofwithrelationfromtypefn @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationfromtypefn ) ) @ natfunction ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(81,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( n_2 @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationfromtypefn ) ) @ natargument ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just45) ).
thf(247,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( n_2 @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationfromtypefn ) ) @ natargument ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(20,axiom,
! [A: $i] :
( ( true @ ( c_unitvectorinterval @ ( A @ isa ) @ ( true @ ( A @ unitvectorinterval @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just42) ).
thf(125,plain,
! [A: $i] :
( ( true @ ( c_unitvectorinterval @ ( A @ isa ) @ ( true @ ( A @ unitvectorinterval @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(36,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( C @ ( C @ ( B @ ( A @ ( D @ f_relationallexistsfn ) ) ) @ isa ) @ ( true @ ( B @ ( D @ isa ) @ ifeq3 ) ) ) @ ( true @ ( C @ ( B @ ( A @ relationallexists ) ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
thf(157,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( C @ ( C @ ( B @ ( A @ ( D @ f_relationallexistsfn ) ) ) @ isa ) @ ( true @ ( B @ ( D @ isa ) @ ifeq3 ) ) ) @ ( true @ ( C @ ( B @ ( A @ relationallexists ) ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(52,axiom,
! [C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( C @ ( B @ directionoftranslation_throughout ) @ ( true @ ( C @ ( A @ directionoftranslation_throughout ) @ ifeq3 ) ) ) @ ( true @ ( B @ ( A @ subevents ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just40) ).
thf(189,plain,
! [C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( C @ ( B @ directionoftranslation_throughout ) @ ( true @ ( C @ ( A @ directionoftranslation_throughout ) @ ifeq3 ) ) ) @ ( true @ ( B @ ( A @ subevents ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ( A @ ifeq ) ) ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_002) ).
thf(93,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ( A @ ifeq ) ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(47,axiom,
! [B: $i,A: $i] :
( ( true @ ( A @ predicate @ ( true @ ( B @ ( A @ genlpreds ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just21) ).
thf(179,plain,
! [B: $i,A: $i] :
( ( true @ ( A @ predicate @ ( true @ ( B @ ( A @ genlpreds ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(18,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ( A @ ifeq2 ) ) ) )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
thf(121,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ ( A @ ifeq2 ) ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(63,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( n_3 @ ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ natargument ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just74) ).
thf(211,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( n_3 @ ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ natargument ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(84,axiom,
( ( c_calendarsvocabularymt @ ( c_calendarsmt @ genlmt ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just3) ).
thf(253,plain,
( ( c_calendarsvocabularymt @ ( c_calendarsmt @ genlmt ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(31,axiom,
! [A: $i] :
( ( true @ ( true @ ( 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 ) @ ( true @ ( c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( A @ isa ) @ ifeq3 ) ) ) @ ( true @ ( c_tptp_member2610_mt @ mtvisible @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
thf(147,plain,
! [A: $i] :
( ( true @ ( true @ ( 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 ) @ ( true @ ( c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( A @ isa ) @ ifeq3 ) ) ) @ ( true @ ( c_tptp_member2610_mt @ mtvisible @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(68,axiom,
! [B: $i,A: $i] :
( ( true @ ( B @ predicate @ ( true @ ( B @ ( A @ genlpreds ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just18) ).
thf(221,plain,
! [B: $i,A: $i] :
( ( true @ ( B @ predicate @ ( true @ ( B @ ( A @ genlpreds ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(24,axiom,
! [A: $i] :
( ( true @ ( c_transitivebinarypredicate @ ( A @ isa ) @ ( true @ ( A @ transitivebinarypredicate @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just57) ).
thf(133,plain,
! [A: $i] :
( ( true @ ( c_transitivebinarypredicate @ ( A @ isa ) @ ( true @ ( A @ transitivebinarypredicate @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(79,axiom,
! [C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( B @ ( C @ isa ) @ ( true @ ( A @ ( C @ isa ) @ ifeq3 ) ) ) @ ( true @ ( B @ ( A @ genls ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just62) ).
thf(243,plain,
! [C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( B @ ( C @ isa ) @ ( true @ ( A @ ( C @ isa ) @ ifeq3 ) ) ) @ ( true @ ( B @ ( A @ genls ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(74,axiom,
! [A: $i] :
( ( true @ ( A @ movement_translationevent @ ( true @ ( c_movement_translationevent @ ( A @ isa ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just36) ).
thf(233,plain,
! [A: $i] :
( ( true @ ( A @ movement_translationevent @ ( true @ ( c_movement_translationevent @ ( A @ isa ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(16,axiom,
! [A: $i] :
( ( true @ ( A @ ( A @ genlpreds ) @ ( true @ ( A @ predicate @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just23) ).
thf(117,plain,
! [A: $i] :
( ( true @ ( A @ ( A @ genlpreds ) @ ( true @ ( A @ predicate @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(58,axiom,
! [A: $i] :
( ( true @ ( A @ unitvectorinterval @ ( true @ ( c_unitvectorinterval @ ( A @ isa ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just41) ).
thf(201,plain,
! [A: $i] :
( ( true @ ( A @ unitvectorinterval @ ( true @ ( c_unitvectorinterval @ ( A @ isa ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(26,axiom,
! [B: $i,A: $i] :
( ( true @ ( A @ thing @ ( true @ ( B @ ( A @ isa ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just61) ).
thf(137,plain,
! [B: $i,A: $i] :
( ( true @ ( A @ thing @ ( true @ ( B @ ( A @ isa ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(40,axiom,
( ( c_universalvocabularymt @ ( c_basekb @ genlmt ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just5) ).
thf(165,plain,
( ( c_universalvocabularymt @ ( c_basekb @ genlmt ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(72,axiom,
! [B: $i,A: $i] :
( ( true @ ( B @ positiveinteger @ ( true @ ( B @ ( A @ resultisaarg ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just77) ).
thf(229,plain,
! [B: $i,A: $i] :
( ( true @ ( B @ positiveinteger @ ( true @ ( B @ ( A @ resultisaarg ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(56,axiom,
! [C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( C @ ( A @ disjointwith ) @ ( true @ ( C @ ( B @ disjointwith ) @ ifeq3 ) ) ) @ ( true @ ( B @ ( A @ genls ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just33) ).
thf(197,plain,
! [C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( C @ ( A @ disjointwith ) @ ( true @ ( C @ ( B @ disjointwith ) @ ifeq3 ) ) ) @ ( true @ ( B @ ( A @ genls ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ( true @ ( A @ thing @ ( true @ ( B @ ( A @ isa ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just60) ).
thf(97,plain,
! [B: $i,A: $i] :
( ( true @ ( A @ thing @ ( true @ ( B @ ( A @ isa ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(42,axiom,
! [B: $i,A: $i] :
( ( true @ ( A @ microtheory @ ( true @ ( B @ ( A @ genlmt ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just67) ).
thf(169,plain,
! [B: $i,A: $i] :
( ( true @ ( A @ microtheory @ ( true @ ( B @ ( A @ genlmt ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(28,axiom,
! [B: $i,A: $i] :
( ( true @ ( B @ collection @ ( true @ ( B @ ( A @ isa ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just58) ).
thf(141,plain,
! [B: $i,A: $i] :
( ( true @ ( B @ collection @ ( true @ ( B @ ( A @ isa ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(12,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_relationallexistsfn @ ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ natfunction ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just71) ).
thf(109,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_relationallexistsfn @ ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ natfunction ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(70,axiom,
! [B: $i,A: $i] :
( ( true @ ( A @ binarypredicate @ ( true @ ( B @ ( A @ genlinverse ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just26) ).
thf(225,plain,
! [B: $i,A: $i] :
( ( true @ ( A @ binarypredicate @ ( true @ ( B @ ( A @ genlinverse ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(54,axiom,
! [A: $i] :
( ( true @ ( A @ transitivebinarypredicate @ ( true @ ( c_transitivebinarypredicate @ ( A @ isa ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just56) ).
thf(193,plain,
! [A: $i] :
( ( true @ ( A @ transitivebinarypredicate @ ( true @ ( c_transitivebinarypredicate @ ( A @ isa ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(44,axiom,
! [A: $i] :
( ( true @ ( A @ ( A @ genlmt ) @ ( true @ ( A @ microtheory @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just69) ).
thf(173,plain,
! [A: $i] :
( ( true @ ( A @ ( A @ genlmt ) @ ( true @ ( A @ microtheory @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(22,axiom,
! [A: $i] :
( ( true @ ( c_movement_translationevent @ ( A @ isa ) @ ( true @ ( A @ movement_translationevent @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just37) ).
thf(129,plain,
! [A: $i] :
( ( true @ ( c_movement_translationevent @ ( A @ isa ) @ ( true @ ( A @ movement_translationevent @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(76,axiom,
! [A: $i] :
( ( true @ ( A @ tptpcol_16_31868 @ ( true @ ( c_tptpcol_16_31868 @ ( A @ isa ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).
thf(237,plain,
! [A: $i] :
( ( true @ ( A @ tptpcol_16_31868 @ ( true @ ( c_tptpcol_16_31868 @ ( A @ isa ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(10,axiom,
( ( true @ ( c_tptpcol_16_31868 @ ( c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( c_tptp_8_875 @ relationallexists ) ) @ ( true @ ( c_tptp_member2610_mt @ mtvisible @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).
thf(105,plain,
( ( true @ ( c_tptpcol_16_31868 @ ( c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( c_tptp_8_875 @ relationallexists ) ) @ ( true @ ( c_tptp_member2610_mt @ mtvisible @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(60,axiom,
! [C: $i,B: $i,A: $i] :
( ( true @ ( C @ collection @ ( true @ ( C @ ( B @ ( A @ relationallexists ) ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just52) ).
thf(205,plain,
! [C: $i,B: $i,A: $i] :
( ( true @ ( C @ collection @ ( true @ ( C @ ( B @ ( A @ relationallexists ) ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(38,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ thing )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just76) ).
thf(161,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ thing )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(32,axiom,
( ( n_4 @ ( c_relationallexistsfn @ resultisaarg ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).
thf(149,plain,
( ( n_4 @ ( c_relationallexistsfn @ resultisaarg ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(48,axiom,
! [B: $i,A: $i] :
( ( true @ ( A @ predicate @ ( true @ ( B @ ( A @ genlpreds ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just20) ).
thf(181,plain,
! [B: $i,A: $i] :
( ( true @ ( A @ predicate @ ( true @ ( B @ ( A @ genlpreds ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(1,negated_conjecture,
( ( c_tptp_spindlecollectormt @ mtvisible )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query27) ).
thf(86,plain,
( ( c_tptp_spindlecollectormt @ mtvisible )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(37,axiom,
! [C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( A @ ( C @ disjointwith ) @ ( true @ ( B @ ( C @ disjointwith ) @ ifeq3 ) ) ) @ ( true @ ( B @ ( A @ genls ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just32) ).
thf(159,plain,
! [C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( A @ ( C @ disjointwith ) @ ( true @ ( B @ ( C @ disjointwith ) @ ifeq3 ) ) ) @ ( true @ ( B @ ( A @ genls ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(51,axiom,
! [B: $i,A: $i] :
( ( true @ ( true @ ( B @ mtvisible @ ( true @ ( A @ mtvisible @ ifeq3 ) ) ) @ ( true @ ( B @ ( A @ genlmt ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just63) ).
thf(187,plain,
! [B: $i,A: $i] :
( ( true @ ( true @ ( B @ mtvisible @ ( true @ ( A @ mtvisible @ ifeq3 ) ) ) @ ( true @ ( B @ ( A @ genlmt ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(14,axiom,
( ( c_cyclistsmt @ ( c_tptp_spindleheadmt @ genlmt ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).
thf(113,plain,
( ( c_cyclistsmt @ ( c_tptp_spindleheadmt @ genlmt ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(67,axiom,
! [A: $i] :
( ( true @ ( A @ subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent @ ( true @ ( c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( A @ isa ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just48) ).
thf(219,plain,
! [A: $i] :
( ( true @ ( A @ subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent @ ( true @ ( c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( A @ isa ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(80,axiom,
! [B: $i,A: $i] :
( ( true @ ( B @ tptpcol_4_24578 @ ( true @ ( B @ ( A @ tptp_8_875 ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just50) ).
thf(245,plain,
! [B: $i,A: $i] :
( ( true @ ( B @ tptpcol_4_24578 @ ( true @ ( B @ ( A @ tptp_8_875 ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(9,axiom,
! [C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( C @ ( A @ genlinverse ) @ ( true @ ( C @ ( B @ genlinverse ) @ ifeq3 ) ) ) @ ( true @ ( B @ ( A @ genlpreds ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just27) ).
thf(103,plain,
! [C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( C @ ( A @ genlinverse ) @ ( true @ ( C @ ( B @ genlinverse ) @ ifeq3 ) ) ) @ ( true @ ( B @ ( A @ genlpreds ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(64,axiom,
! [C: $i,B: $i,A: $i] :
( ( true @ ( A @ binarypredicate @ ( true @ ( C @ ( B @ ( A @ relationallexists ) ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just54) ).
thf(213,plain,
! [C: $i,B: $i,A: $i] :
( ( true @ ( A @ binarypredicate @ ( true @ ( C @ ( B @ ( A @ relationallexists ) ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(83,axiom,
! [B: $i,A: $i] :
( ( true @ ( B @ microtheory @ ( true @ ( B @ ( A @ genlmt ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just65) ).
thf(251,plain,
! [B: $i,A: $i] :
( ( true @ ( B @ microtheory @ ( true @ ( B @ ( A @ genlmt ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(35,axiom,
! [B: $i,A: $i] :
( ( true @ ( B @ predicate @ ( true @ ( B @ ( A @ genlpreds ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just19) ).
thf(155,plain,
! [B: $i,A: $i] :
( ( true @ ( B @ predicate @ ( true @ ( B @ ( A @ genlpreds ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(69,axiom,
! [B: $i,A: $i] :
( ( true @ ( B @ collection @ ( true @ ( B @ ( A @ disjointwith ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just29) ).
thf(223,plain,
! [B: $i,A: $i] :
( ( true @ ( B @ collection @ ( true @ ( B @ ( A @ disjointwith ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(25,axiom,
! [B: $i,A: $i] :
( ( true @ ( B @ microtheory @ ( true @ ( B @ ( A @ genlmt ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just64) ).
thf(135,plain,
! [B: $i,A: $i] :
( ( true @ ( B @ microtheory @ ( true @ ( B @ ( A @ genlmt ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(78,axiom,
! [A: $i] :
( ( true @ ( c_tptpcol_16_31868 @ ( A @ isa ) @ ( true @ ( A @ tptpcol_16_31868 @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just35) ).
thf(241,plain,
! [A: $i] :
( ( true @ ( c_tptpcol_16_31868 @ ( A @ isa ) @ ( true @ ( A @ tptpcol_16_31868 @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(41,axiom,
( ( c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @ subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).
thf(167,plain,
( ( c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @ subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(85,axiom,
! [A: $i] :
( ( true @ ( c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( A @ isa ) @ ( true @ ( A @ subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just49) ).
thf(255,plain,
! [A: $i] :
( ( true @ ( c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( A @ isa ) @ ( true @ ( A @ subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(62,axiom,
( ( c_tptp_member3993_mt @ ( c_tptp_spindlecollectormt @ genlmt ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).
thf(209,plain,
( ( c_tptp_member3993_mt @ ( c_tptp_spindlecollectormt @ genlmt ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(19,axiom,
! [B: $i,A: $i] :
( ( true @ ( B @ unitvectorinterval @ ( true @ ( B @ ( A @ directionoftranslation_throughout ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just38) ).
thf(123,plain,
! [B: $i,A: $i] :
( ( true @ ( B @ unitvectorinterval @ ( true @ ( B @ ( A @ directionoftranslation_throughout ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(30,axiom,
! [A: $i] :
( ( true @ ( A @ ( A @ genlpreds ) @ ( true @ ( A @ predicate @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just24) ).
thf(145,plain,
! [A: $i] :
( ( true @ ( A @ ( A @ genlpreds ) @ ( true @ ( A @ predicate @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(57,axiom,
! [C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( B @ ( C @ genlpreds ) @ ( true @ ( A @ ( C @ genlinverse ) @ ifeq3 ) ) ) @ ( true @ ( B @ ( A @ genlinverse ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just17) ).
thf(199,plain,
! [C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( B @ ( C @ genlpreds ) @ ( true @ ( A @ ( C @ genlinverse ) @ ifeq3 ) ) ) @ ( true @ ( B @ ( A @ genlinverse ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(46,axiom,
( ( c_basekb @ ( c_calendarsvocabularymt @ genlmt ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).
thf(177,plain,
( ( c_basekb @ ( c_calendarsvocabularymt @ genlmt ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(21,axiom,
( ( c_calendarsmt @ ( c_cyclistsmt @ genlmt ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just6) ).
thf(127,plain,
( ( c_calendarsmt @ ( c_cyclistsmt @ genlmt ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(45,axiom,
( ( c_basekb @ mtvisible )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just55) ).
thf(175,plain,
( ( c_basekb @ mtvisible )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(29,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( n_3 @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationfromtypefn ) ) @ natargument ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just46) ).
thf(143,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( n_3 @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationfromtypefn ) ) @ natargument ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(73,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ f_subcollectionofwithrelationfromtypefn ) ) @ collection )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just47) ).
thf(231,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ f_subcollectionofwithrelationfromtypefn ) ) @ collection )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(7,axiom,
( ( c_universalvocabularymt @ mtvisible )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just79) ).
thf(99,plain,
( ( c_universalvocabularymt @ mtvisible )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(2,negated_conjecture,
! [A: $i] :
( ( b @ ( a @ ( true @ ( true @ tuple2 ) @ ( A @ tptpcol_16_31868 @ ( A @ ( c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @ tptp_8_875 ) @ tuple2 ) @ ifeq2 ) ) ) )
= b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query27_1) ).
thf(87,plain,
! [A: $i] :
( ( b @ ( a @ ( true @ ( true @ tuple2 ) @ ( A @ tptpcol_16_31868 @ ( A @ ( c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @ tptp_8_875 ) @ tuple2 ) @ ifeq2 ) ) ) )
= b ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(59,axiom,
( ( c_genlmt @ transitivebinarypredicate )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just4) ).
thf(203,plain,
( ( c_genlmt @ transitivebinarypredicate )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(43,axiom,
! [B: $i,A: $i] :
( ( true @ ( A @ collection @ ( true @ ( B @ ( A @ disjointwith ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just30) ).
thf(171,plain,
! [B: $i,A: $i] :
( ( true @ ( A @ collection @ ( true @ ( B @ ( A @ disjointwith ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(27,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( n_1 @ ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ natargument ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just72) ).
thf(139,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A @ ( n_1 @ ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ natargument ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(17,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( n_2 @ ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ natargument ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just73) ).
thf(119,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( n_2 @ ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ natargument ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(75,axiom,
! [C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( B @ ( C @ genlmt ) @ ( true @ ( A @ ( C @ genlmt ) @ ifeq3 ) ) ) @ ( true @ ( B @ ( A @ genlmt ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just68) ).
thf(235,plain,
! [C: $i,B: $i,A: $i] :
( ( true @ ( true @ ( B @ ( C @ genlmt ) @ ( true @ ( A @ ( C @ genlmt ) @ ifeq3 ) ) ) @ ( true @ ( B @ ( A @ genlmt ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(61,axiom,
! [B: $i,A: $i] :
( ( true @ ( A @ movement_translationevent @ ( true @ ( B @ ( A @ directionoftranslation_throughout ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just39) ).
thf(207,plain,
! [B: $i,A: $i] :
( ( true @ ( A @ movement_translationevent @ ( true @ ( B @ ( A @ directionoftranslation_throughout ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(33,axiom,
( ( c_tptp_spindleheadmt @ ( c_tptp_member3993_mt @ genlmt ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).
thf(151,plain,
( ( c_tptp_spindleheadmt @ ( c_tptp_member3993_mt @ genlmt ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(49,axiom,
! [C: $i,B: $i,A: $i] :
( ( A @ ( n_1 @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationfromtypefn ) ) @ natargument ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just44) ).
thf(183,plain,
! [C: $i,B: $i,A: $i] :
( ( A @ ( n_1 @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationfromtypefn ) ) @ natargument ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(11,axiom,
( ( c_tptp_member2610_mt @ ( c_tptp_spindlecollectormt @ genlmt ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
thf(107,plain,
( ( c_tptp_member2610_mt @ ( c_tptp_spindlecollectormt @ genlmt ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(77,axiom,
! [B: $i,A: $i] :
( ( true @ ( A @ ( B @ disjointwith ) @ ( true @ ( B @ ( A @ disjointwith ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).
thf(239,plain,
! [B: $i,A: $i] :
( ( true @ ( A @ ( B @ disjointwith ) @ ( true @ ( B @ ( A @ disjointwith ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(55,axiom,
! [B: $i,A: $i] :
( ( true @ ( A @ function_denotational @ ( true @ ( B @ ( A @ resultisaarg ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just78) ).
thf(195,plain,
! [B: $i,A: $i] :
( ( true @ ( A @ function_denotational @ ( true @ ( B @ ( A @ resultisaarg ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(23,axiom,
! [C: $i,B: $i,A: $i] :
( ( b @ ( a @ ( true @ ( true @ ( true @ tuple ) ) @ ( C @ ( B @ disjointwith ) @ ( C @ ( A @ isa ) @ ( B @ ( A @ isa ) @ tuple ) ) @ ifeq ) ) ) )
= b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).
thf(131,plain,
! [C: $i,B: $i,A: $i] :
( ( b @ ( a @ ( true @ ( true @ ( true @ tuple ) ) @ ( C @ ( B @ disjointwith ) @ ( C @ ( A @ isa ) @ ( B @ ( A @ isa ) @ tuple ) ) @ ifeq ) ) ) )
= b ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(39,axiom,
( ( c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @ isa ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).
thf(163,plain,
( ( c_movement_translationevent @ ( c_directionoftranslation_throughout @ ( c_unitvectorinterval @ f_subcollectionofwithrelationfromtypefn ) ) @ ( c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @ isa ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ( true @ ( B @ binarypredicate @ ( true @ ( B @ ( A @ genlinverse ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just25) ).
thf(111,plain,
! [B: $i,A: $i] :
( ( true @ ( B @ binarypredicate @ ( true @ ( B @ ( A @ genlinverse ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(71,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( n_4 @ ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ natargument ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just75) ).
thf(227,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( n_4 @ ( D @ ( C @ ( B @ ( A @ f_relationallexistsfn ) ) ) @ natargument ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(65,axiom,
! [B: $i,A: $i] :
( ( true @ ( A @ microtheory @ ( true @ ( B @ ( A @ genlmt ) @ ifeq3 ) ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just66) ).
thf(215,plain,
! [B: $i,A: $i] :
( ( true @ ( A @ microtheory @ ( true @ ( B @ ( A @ genlmt ) @ ifeq3 ) ) ) )
= true ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(261,plain,
$false,
inference(e,[status(thm)],[153,185,191,95,101,249,88,115,217,247,125,157,189,93,179,121,211,253,147,221,133,243,233,117,201,137,165,229,197,97,169,141,109,225,193,173,129,237,105,205,161,149,181,86,159,187,113,219,245,103,213,251,155,223,135,241,167,255,209,123,145,199,177,127,175,143,231,99,87,203,171,139,119,235,207,151,183,107,239,195,131,163,111,227,215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR027-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.14/0.40 % Computer : n008.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 26 23:58:22 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.86/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.41/1.21 % [INFO] Parsing done (219ms).
% 1.41/1.23 % [INFO] Running in sequential loop mode.
% 2.17/1.61 % [INFO] eprover registered as external prover.
% 2.17/1.62 % [INFO] Scanning for conjecture ...
% 2.36/1.74 % [INFO] Found a conjecture (or negated_conjecture) and 82 axioms. Running axiom selection ...
% 2.56/1.84 % [INFO] Axiom selection finished. Selected 82 axioms (removed 0 axioms).
% 2.83/1.92 % [INFO] Problem is propositional (TPTP CNF).
% 2.83/1.93 % [INFO] Type checking passed.
% 2.83/1.93 % [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 ...
% 6.62/3.09 % External prover 'e' found a proof!
% 6.62/3.10 % [INFO] Killing All external provers ...
% 6.62/3.10 % Time passed: 2547ms (effective reasoning time: 1864ms)
% 6.62/3.10 % Axioms used in derivation (82): just28, just8, just16, just12, just13, just3, just73, just62, just36, just51, just47, just53, ifeq_axiom_001, just64, just21, just75, just43, just17, just10, ifeq_axiom, just57, just26, just15, just40, just4, just52, just46, just35, just68, just63, just70, just27, just23, just22, just74, just11, just79, just7, just42, just56, just31, just67, just34, just45, just19, just66, just49, just55, just38, just71, just1, just59, just24, just77, just60, just6, just30, just41, just78, just61, just29, just37, just50, just18, just32, just39, just65, just48, just54, ifeq_axiom_002, just69, just33, just76, just58, just5, just2, just44, just72, just25, just20, just14, just9
% 6.62/3.10 % No. of inferences in proof: 171
% 6.62/3.10 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2547 ms resp. 1864 ms w/o parsing
% 7.18/3.28 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.18/3.29 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------