%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR026+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 : n012.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 : Theorem 3.67s 2.06s
% Output : Refutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 35
% Syntax : Number of formulae : 72 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 125 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 269 ( 2 ~; 0 |; 6 &; 214 @)
% ( 0 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 30 usr; 16 con; 0-3 aty)
% Number of variables : 84 ( 0 ^; 84 !; 0 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
thf(mtvisible_decl,type,
mtvisible: $i > $o ).
thf(c_tptp_spindlecollectormt_decl,type,
c_tptp_spindlecollectormt: $i ).
thf(tptpofobject_decl,type,
tptpofobject: $i > $i > $o ).
thf(c_tptprunningshorts_decl,type,
c_tptprunningshorts: $i ).
thf(f_tptpquantityfn_2_decl,type,
f_tptpquantityfn_2: $i > $i ).
thf(n_756_decl,type,
n_756: $i ).
thf(isa_decl,type,
isa: $i > $i > $o ).
thf(thing_decl,type,
thing: $i > $o ).
thf(collection_decl,type,
collection: $i > $o ).
thf(c_runningshorts_decl,type,
c_runningshorts: $i ).
thf(runningshorts_decl,type,
runningshorts: $i > $o ).
thf(genlmt_decl,type,
genlmt: $i > $i > $o ).
thf(c_calendarsmt_decl,type,
c_calendarsmt: $i ).
thf(c_calendarsvocabularymt_decl,type,
c_calendarsvocabularymt: $i ).
thf(microtheory_decl,type,
microtheory: $i > $o ).
thf(relationallinstance_decl,type,
relationallinstance: $i > $i > $i > $o ).
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(binarypredicate_decl,type,
binarypredicate: $i > $o ).
thf(c_basekb_decl,type,
c_basekb: $i ).
thf(natargument_decl,type,
natargument: $i > $i > $i > $o ).
thf(n_1_decl,type,
n_1: $i ).
thf(c_universalvocabularymt_decl,type,
c_universalvocabularymt: $i ).
thf(natfunction_decl,type,
natfunction: $i > $i > $o ).
thf(c_tptpquantityfn_2_decl,type,
c_tptpquantityfn_2: $i ).
thf(tptpquantity_decl,type,
tptpquantity: $i > $o ).
thf(c_tptp_member2701_mt_decl,type,
c_tptp_member2701_mt: $i ).
thf(partiallytangible_decl,type,
partiallytangible: $i > $o ).
thf(c_tptpofobject_decl,type,
c_tptpofobject: $i ).
thf(15,axiom,
! [A: $i] :
( ( A @ runningshorts )
=> ( c_runningshorts @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
thf(69,plain,
! [A: $i] :
( ( A @ runningshorts )
=> ( c_runningshorts @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just51) ).
thf(56,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(1,conjecture,
( ( c_tptp_spindlecollectormt @ mtvisible )
=> ( n_756 @ f_tptpquantityfn_2 @ ( c_tptprunningshorts @ tptpofobject ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query26) ).
thf(2,negated_conjecture,
~ ( ( c_tptp_spindlecollectormt @ mtvisible )
=> ( n_756 @ f_tptpquantityfn_2 @ ( c_tptprunningshorts @ tptpofobject ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(37,plain,
~ ( ( c_tptp_spindlecollectormt @ mtvisible )
=> ( n_756 @ f_tptpquantityfn_2 @ ( c_tptprunningshorts @ tptpofobject ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(24,axiom,
! [A: $i] : ( A @ ( n_1 @ ( A @ f_tptpquantityfn_2 @ natargument ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
thf(84,plain,
! [A: $i] : ( A @ ( n_1 @ ( A @ f_tptpquantityfn_2 @ natargument ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(34,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ genlmt ) )
& ( A @ mtvisible ) )
=> ( B @ mtvisible ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).
thf(102,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ genlmt ) )
& ( A @ mtvisible ) )
=> ( B @ mtvisible ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(29,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tptpofobject ) )
=> ( B @ tptpquantity ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just35) ).
thf(92,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tptpofobject ) )
=> ( B @ tptpquantity ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(8,axiom,
c_calendarsvocabularymt @ ( c_calendarsmt @ genlmt ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
thf(53,plain,
c_calendarsvocabularymt @ ( c_calendarsmt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just46) ).
thf(41,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just49) ).
thf(64,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just52) ).
thf(66,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just45) ).
thf(48,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,axiom,
! [A: $i] :
( ( c_runningshorts @ ( A @ isa ) )
=> ( A @ runningshorts ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just33) ).
thf(51,plain,
! [A: $i] :
( ( c_runningshorts @ ( A @ isa ) )
=> ( A @ runningshorts ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(30,axiom,
! [A: $i] :
( ( ( A @ runningshorts )
& ( c_tptp_member2701_mt @ mtvisible ) )
=> ( n_756 @ f_tptpquantityfn_2 @ ( A @ tptpofobject ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
thf(94,plain,
! [A: $i] :
( ( ( A @ runningshorts )
& ( c_tptp_member2701_mt @ mtvisible ) )
=> ( n_756 @ f_tptpquantityfn_2 @ ( A @ tptpofobject ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(28,axiom,
! [A: $i] : ( c_tptpquantityfn_2 @ ( A @ f_tptpquantityfn_2 @ natfunction ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just30) ).
thf(90,plain,
! [A: $i] : ( c_tptpquantityfn_2 @ ( A @ f_tptpquantityfn_2 @ natfunction ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just44) ).
thf(46,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(21,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ relationallinstance ) ) )
=> ( A @ binarypredicate ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just39) ).
thf(78,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ relationallinstance ) ) )
=> ( A @ binarypredicate ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ relationallinstance ) ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just38) ).
thf(61,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ relationallinstance ) ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(27,axiom,
c_tptp_member3993_mt @ ( c_tptp_spindlecollectormt @ genlmt ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
thf(89,plain,
c_tptp_member3993_mt @ ( c_tptp_spindlecollectormt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(18,axiom,
c_tptp_spindleheadmt @ ( c_tptp_member3993_mt @ genlmt ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
thf(74,plain,
c_tptp_spindleheadmt @ ( c_tptp_member3993_mt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(20,axiom,
c_cyclistsmt @ ( c_tptp_spindleheadmt @ genlmt ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).
thf(77,plain,
c_cyclistsmt @ ( c_tptp_spindleheadmt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(31,axiom,
! [A: $i] : ( A @ f_tptpquantityfn_2 @ tptpquantity ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just32) ).
thf(96,plain,
! [A: $i] : ( A @ f_tptpquantityfn_2 @ tptpquantity ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(17,axiom,
c_calendarsmt @ ( c_cyclistsmt @ genlmt ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just3) ).
thf(73,plain,
c_calendarsmt @ ( c_cyclistsmt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(36,axiom,
( ( c_tptp_member2701_mt @ mtvisible )
=> ( n_756 @ f_tptpquantityfn_2 @ ( c_runningshorts @ ( c_tptpofobject @ relationallinstance ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).
thf(105,plain,
( ( c_tptp_member2701_mt @ mtvisible )
=> ( n_756 @ f_tptpquantityfn_2 @ ( c_runningshorts @ ( c_tptpofobject @ relationallinstance ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just43) ).
thf(44,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ relationallinstance ) ) )
=> ( C @ thing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).
thf(59,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ relationallinstance ) ) )
=> ( C @ thing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(16,axiom,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just55) ).
thf(71,plain,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just54) ).
thf(54,plain,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(25,axiom,
c_universalvocabularymt @ mtvisible,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just56) ).
thf(86,plain,
c_universalvocabularymt @ mtvisible,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(22,axiom,
c_basekb @ ( c_calendarsvocabularymt @ genlmt ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).
thf(81,plain,
c_basekb @ ( c_calendarsvocabularymt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(32,axiom,
c_tptp_member2701_mt @ ( c_tptp_spindlecollectormt @ genlmt ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).
thf(98,plain,
c_tptp_member2701_mt @ ( c_tptp_spindlecollectormt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(33,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tptpofobject ) )
=> ( A @ partiallytangible ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just36) ).
thf(99,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tptpofobject ) )
=> ( A @ partiallytangible ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(26,axiom,
( ( c_cyclistsmt @ mtvisible )
=> ( c_tptprunningshorts @ runningshorts ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
thf(87,plain,
( ( c_cyclistsmt @ mtvisible )
=> ( c_tptprunningshorts @ runningshorts ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(35,axiom,
c_basekb @ mtvisible,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just40) ).
thf(104,plain,
c_basekb @ mtvisible,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just50) ).
thf(75,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genlmt ) )
& ( B @ ( A @ genlmt ) ) )
=> ( C @ ( A @ genlmt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just53) ).
thf(82,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genlmt ) )
& ( B @ ( A @ genlmt ) ) )
=> ( C @ ( A @ genlmt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(107,plain,
$false,
inference(e,[status(thm)],[69,56,37,84,102,92,53,41,64,66,48,51,94,90,46,78,61,89,74,77,96,73,105,44,59,71,54,86,81,98,99,87,104,75,82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR026+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % 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
% 0.08/0.34 % Computer : n012.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 26 23:56:36 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 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
% 0.64/0.70 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.82/0.88 % [INFO] Parsing done (176ms).
% 0.82/0.89 % [INFO] Running in sequential loop mode.
% 1.60/1.24 % [INFO] eprover registered as external prover.
% 1.60/1.25 % [INFO] Scanning for conjecture ...
% 1.83/1.33 % [INFO] Found a conjecture (or negated_conjecture) and 56 axioms. Running axiom selection ...
% 2.04/1.40 % [INFO] Axiom selection finished. Selected 34 axioms (removed 22 axioms).
% 2.04/1.44 % [INFO] Problem is first-order (TPTP FOF).
% 2.04/1.45 % [INFO] Type checking passed.
% 2.04/1.45 % [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 ...
% 3.67/2.06 % External prover 'e' found a proof!
% 3.67/2.06 % [INFO] Killing All external provers ...
% 3.67/2.06 % Time passed: 1619ms (effective reasoning time: 1164ms)
% 3.67/2.06 % 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)>
% 3.67/2.06 % Axioms used in derivation (34): just53, just43, just10, just8, just40, just11, just31, just33, just9, just3, just36, just51, just4, just52, just46, just35, just56, just7, just34, just45, just49, just55, just1, just38, just6, just30, just37, just50, just32, just39, just48, just54, just44, just5
% 3.67/2.06 % No. of inferences in proof: 72
% 3.67/2.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1619 ms resp. 1164 ms w/o parsing
% 3.67/2.13 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.67/2.13 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------