%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR028+1 : TPTP v9.3.1. Released v3.4.0.
% 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 : n026.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 4.27s 2.64s
% Output : Refutation 4.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 34
% Syntax : Number of formulae : 70 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 131 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 275 ( 4 ~; 0 |; 14 &; 210 @)
% ( 0 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 21 usr; 12 con; 0-2 aty)
% Number of variables : 90 ( 0 ^; 90 !; 0 ?; 90 :)
% Comments :
%------------------------------------------------------------------------------
thf(mtvisible_decl,type,
mtvisible: $i > $o ).
thf(c_tptp_member2089_mt_decl,type,
c_tptp_member2089_mt: $i ).
thf(individual_decl,type,
individual: $i > $o ).
thf(c_tptptptpcol_16_25985_decl,type,
c_tptptptpcol_16_25985: $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(transitivebinarypredicate_decl,type,
transitivebinarypredicate: $i > $o ).
thf(c_genlmt_decl,type,
c_genlmt: $i ).
thf(isa_decl,type,
isa: $i > $i > $o ).
thf(thing_decl,type,
thing: $i > $o ).
thf(genlmt_decl,type,
genlmt: $i > $i > $o ).
thf(c_cyclistsmt_decl,type,
c_cyclistsmt: $i ).
thf(c_calendarsmt_decl,type,
c_calendarsmt: $i ).
thf(microtheory_decl,type,
microtheory: $i > $o ).
thf(c_calendarsvocabularymt_decl,type,
c_calendarsvocabularymt: $i ).
thf(c_basekb_decl,type,
c_basekb: $i ).
thf(c_tptp_spindleheadmt_decl,type,
c_tptp_spindleheadmt: $i ).
thf(c_transitivebinarypredicate_decl,type,
c_transitivebinarypredicate: $i ).
thf(c_universalvocabularymt_decl,type,
c_universalvocabularymt: $i ).
thf(c_individual_decl,type,
c_individual: $i ).
thf(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genlmt ) )
& ( B @ ( A @ genlmt ) ) )
=> ( C @ ( A @ genlmt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just42) ).
thf(69,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genlmt ) )
& ( B @ ( A @ genlmt ) ) )
=> ( C @ ( A @ genlmt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( B @ ( C @ disjointwith ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just26) ).
thf(42,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( B @ ( C @ disjointwith ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ ( B @ disjointwith ) )
& ( C @ ( A @ isa ) )
& ( B @ ( A @ isa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
thf(52,plain,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ ( B @ disjointwith ) )
& ( C @ ( A @ isa ) )
& ( B @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(25,axiom,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just43) ).
thf(84,plain,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(29,axiom,
c_tptptptpcol_16_25985 @ individual,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).
thf(92,plain,
c_tptptptpcol_16_25985 @ individual,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(33,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ genlmt ) )
& ( A @ mtvisible ) )
=> ( B @ mtvisible ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just37) ).
thf(96,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ genlmt ) )
& ( A @ mtvisible ) )
=> ( B @ mtvisible ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).
thf(66,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(23,axiom,
! [A: $i] :
( ( A @ transitivebinarypredicate )
=> ( c_transitivebinarypredicate @ ( A @ isa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).
thf(80,plain,
! [A: $i] :
( ( A @ transitivebinarypredicate )
=> ( c_transitivebinarypredicate @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just32) ).
thf(72,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(27,axiom,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just44) ).
thf(87,plain,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(1,conjecture,
( ( c_tptp_member2089_mt @ mtvisible )
=> ( c_tptptptpcol_16_25985 @ individual ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query28) ).
thf(2,negated_conjecture,
~ ( ( c_tptp_member2089_mt @ mtvisible )
=> ( c_tptptptpcol_16_25985 @ individual ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(36,plain,
~ ( ( c_tptp_member2089_mt @ mtvisible )
=> ( c_tptptptpcol_16_25985 @ individual ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(31,axiom,
c_basekb @ mtvisible,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just29) ).
thf(94,plain,
c_basekb @ mtvisible,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(35,axiom,
! [A: $i] :
( ( c_individual @ ( A @ isa ) )
=> ( A @ individual ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just27) ).
thf(100,plain,
! [A: $i] :
( ( c_individual @ ( A @ isa ) )
=> ( A @ individual ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(30,axiom,
c_tptp_spindleheadmt @ ( c_tptp_member2089_mt @ genlmt ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).
thf(93,plain,
c_tptp_spindleheadmt @ ( c_tptp_member2089_mt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just38) ).
thf(78,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just41) ).
thf(89,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ isa ) ) )
=> ( C @ ( A @ isa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just36) ).
thf(74,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ isa ) ) )
=> ( C @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( C @ ( A @ disjointwith ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just25) ).
thf(45,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(15,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just39) ).
thf(64,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(5,axiom,
c_genlmt @ transitivebinarypredicate,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).
thf(44,plain,
c_genlmt @ transitivebinarypredicate,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just40) ).
thf(59,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(18,axiom,
c_calendarsvocabularymt @ ( c_calendarsmt @ genlmt ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
thf(71,plain,
c_calendarsvocabularymt @ ( c_calendarsmt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just23) ).
thf(49,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(26,axiom,
c_universalvocabularymt @ ( c_basekb @ genlmt ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just3) ).
thf(86,plain,
c_universalvocabularymt @ ( c_basekb @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(21,axiom,
! [A: $i] :
( ( c_transitivebinarypredicate @ ( A @ isa ) )
=> ( A @ transitivebinarypredicate ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just30) ).
thf(76,plain,
! [A: $i] :
( ( c_transitivebinarypredicate @ ( A @ isa ) )
=> ( A @ transitivebinarypredicate ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(34,axiom,
! [A: $i] :
( ( A @ individual )
=> ( c_individual @ ( A @ isa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just28) ).
thf(98,plain,
! [A: $i] :
( ( A @ individual )
=> ( c_individual @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(14,axiom,
c_cyclistsmt @ ( c_tptp_spindleheadmt @ genlmt ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just6) ).
thf(63,plain,
c_cyclistsmt @ ( c_tptp_spindleheadmt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(32,axiom,
c_universalvocabularymt @ mtvisible,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just45) ).
thf(95,plain,
c_universalvocabularymt @ mtvisible,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just22) ).
thf(40,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just35) ).
thf(55,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(11,axiom,
c_calendarsmt @ ( c_cyclistsmt @ genlmt ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just4) ).
thf(58,plain,
c_calendarsmt @ ( c_cyclistsmt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(24,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just33) ).
thf(82,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ ( B @ disjointwith ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just24) ).
thf(47,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ ( B @ disjointwith ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(13,axiom,
c_basekb @ ( c_calendarsvocabularymt @ genlmt ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just5) ).
thf(62,plain,
c_basekb @ ( c_calendarsvocabularymt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(102,plain,
$false,
inference(e,[status(thm)],[69,42,52,84,92,96,66,80,72,87,36,94,100,93,78,89,74,45,64,44,59,71,49,86,76,98,63,95,40,55,58,82,47,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR028+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % 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
% 0.12/0.44 % Computer : n026.cluster.edu
% 0.12/0.44 % Model : x86_64 x86_64
% 0.12/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.44 % Memory : 8046.5625MB
% 0.12/0.44 % OS : Linux 6.8.0-71-generic
% 0.12/0.44 % CPULimit : 300
% 0.12/0.44 % WCLimit : 300
% 0.12/0.44 % DateTime : Sun Sep 27 00:00:56 UTC 2026
% 0.12/0.44 % CPUTime :
% 0.12/0.44 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
% 1.01/1.04 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.32/1.25 % [INFO] Parsing done (210ms).
% 1.32/1.26 % [INFO] Running in sequential loop mode.
% 2.04/1.68 % [INFO] eprover registered as external prover.
% 2.04/1.69 % [INFO] Scanning for conjecture ...
% 2.25/1.78 % [INFO] Found a conjecture (or negated_conjecture) and 45 axioms. Running axiom selection ...
% 2.44/1.85 % [INFO] Axiom selection finished. Selected 33 axioms (removed 12 axioms).
% 2.64/1.91 % [INFO] Problem is first-order (TPTP FOF).
% 2.64/1.91 % [INFO] Type checking passed.
% 2.64/1.92 % [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 ...
% 4.27/2.63 % External prover 'e' found a proof!
% 4.27/2.63 % [INFO] Killing All external provers ...
% 4.27/2.63 % Time passed: 2043ms (effective reasoning time: 1362ms)
% 4.27/2.63 % 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)>
% 4.27/2.64 % Axioms used in derivation (33): just28, just43, just8, just27, just31, just24, just29, just37, just33, just25, just9, just3, just36, just26, just40, just4, just35, just23, just22, just42, just7, just34, just45, just1, just38, just6, just30, just41, just32, just39, just5, just2, just44
% 4.27/2.64 % No. of inferences in proof: 70
% 4.27/2.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2043 ms resp. 1362 ms w/o parsing
% 4.59/2.71 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.59/2.71 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------