%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR064+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 : n001.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 07:00:53 AM UTC 2026
% Result : Theorem 4.66s 2.67s
% Output : Refutation 5.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 59
% Syntax : Number of formulae : 120 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 256 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 607 ( 13 ~; 0 |; 42 &; 458 @)
% ( 0 <=>; 94 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 25 usr; 10 con; 0-3 aty)
% Number of variables : 220 ( 0 ^; 220 !; 0 ?; 220 :)
% Comments :
%------------------------------------------------------------------------------
thf(genls_decl,type,
genls: $i > $i > $o ).
thf(f_urlfn_decl,type,
f_urlfn: $i > $i ).
thf(s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml_decl,type,
s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml: $i ).
thf(c_tptpcol_15_74743_decl,type,
c_tptpcol_15_74743: $i ).
thf(most_decl,type,
most: $i > $i > $o ).
thf(setorcollection_decl,type,
setorcollection: $i > $o ).
thf(transitivebinarypredicate_decl,type,
transitivebinarypredicate: $i > $o ).
thf(c_genlpreds_decl,type,
c_genlpreds: $i ).
thf(disjointwith_decl,type,
disjointwith: $i > $i > $o ).
thf(collection_decl,type,
collection: $i > $o ).
thf(c_individual_decl,type,
c_individual: $i ).
thf(c_setorcollection_decl,type,
c_setorcollection: $i ).
thf(isa_decl,type,
isa: $i > $i > $o ).
thf(subsetof_decl,type,
subsetof: $i > $i > $o ).
thf(arg1isa_decl,type,
arg1isa: $i > $i > $o ).
thf(c_most_decl,type,
c_most: $i ).
thf(c_transitivebinarypredicate_decl,type,
c_transitivebinarypredicate: $i ).
thf(individual_decl,type,
individual: $i > $o ).
thf(relation_decl,type,
relation: $i > $o ).
thf(thing_decl,type,
thing: $i > $o ).
thf(natargument_decl,type,
natargument: $i > $i > $i > $o ).
thf(n_1_decl,type,
n_1: $i ).
thf(uniformresourcelocator_decl,type,
uniformresourcelocator: $i > $o ).
thf(natfunction_decl,type,
natfunction: $i > $i > $o ).
thf(c_urlfn_decl,type,
c_urlfn: $i ).
thf(59,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ genls ) )
& ( B @ ( A @ genls ) ) )
=> ( B @ ( C @ genls ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just28) ).
thf(185,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ genls ) )
& ( B @ ( A @ genls ) ) )
=> ( B @ ( C @ genls ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(43,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genls ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just22) ).
thf(152,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genls ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ ( B @ disjointwith ) )
& ( C @ ( A @ isa ) )
& ( B @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).
thf(85,plain,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ ( B @ disjointwith ) )
& ( C @ ( A @ isa ) )
& ( B @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(6,axiom,
! [A: $i] :
( ( A @ setorcollection )
=> ( A @ ( A @ most ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).
thf(70,plain,
! [A: $i] :
( ( A @ setorcollection )
=> ( A @ ( A @ most ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(38,axiom,
! [A: $i] :
( ( A @ individual )
=> ( c_individual @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just70) ).
thf(141,plain,
! [A: $i] :
( ( A @ individual )
=> ( c_individual @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(9,axiom,
! [A: $i] :
( ( A @ setorcollection )
=> ( A @ ( A @ most ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just36) ).
thf(77,plain,
! [A: $i] :
( ( A @ setorcollection )
=> ( A @ ( A @ most ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(53,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genls ) )
=> ( B @ ( A @ subsetof ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).
thf(173,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genls ) )
=> ( B @ ( A @ subsetof ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(33,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just63) ).
thf(130,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(55,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ arg1isa ) ) )
=> ( C @ ( A @ arg1isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just19) ).
thf(177,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ arg1isa ) ) )
=> ( C @ ( A @ arg1isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ subsetof ) )
& ( B @ ( A @ subsetof ) ) )
=> ( C @ ( A @ subsetof ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just46) ).
thf(99,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ subsetof ) )
& ( B @ ( A @ subsetof ) ) )
=> ( C @ ( A @ subsetof ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(5,axiom,
c_genlpreds @ transitivebinarypredicate,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
thf(69,plain,
c_genlpreds @ transitivebinarypredicate,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(20,axiom,
! [A: $i] :
( ( A @ setorcollection )
=> ( A @ ( A @ subsetof ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just43) ).
thf(101,plain,
! [A: $i] :
( ( A @ setorcollection )
=> ( A @ ( A @ subsetof ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ ( B @ disjointwith ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just73) ).
thf(88,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ ( B @ disjointwith ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(25,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ arg1isa ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just17) ).
thf(110,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ arg1isa ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(31,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just65) ).
thf(125,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(46,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( B @ ( C @ disjointwith ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just75) ).
thf(157,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( B @ ( C @ disjointwith ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(49,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ genls ) ) )
=> ( C @ ( A @ genls ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just25) ).
thf(164,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ genls ) ) )
=> ( C @ ( A @ genls ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(56,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ genls ) ) )
=> ( C @ ( A @ genls ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).
thf(179,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ genls ) ) )
=> ( C @ ( A @ genls ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(23,axiom,
! [A: $i] :
( ( A @ transitivebinarypredicate )
=> ( c_transitivebinarypredicate @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
thf(106,plain,
! [A: $i] :
( ( A @ transitivebinarypredicate )
=> ( c_transitivebinarypredicate @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(12,axiom,
c_setorcollection @ ( c_individual @ disjointwith ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
thf(84,plain,
c_setorcollection @ ( c_individual @ disjointwith ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(41,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ ( B @ disjointwith ) )
& ( C @ ( A @ isa ) )
& ( B @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
thf(147,plain,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ ( B @ disjointwith ) )
& ( C @ ( A @ isa ) )
& ( B @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(1,conjecture,
~ ( c_tptpcol_15_74743 @ ( s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml @ f_urlfn @ f_urlfn @ genls ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query64) ).
thf(2,negated_conjecture,
~ ~ ( c_tptpcol_15_74743 @ ( s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml @ f_urlfn @ f_urlfn @ genls ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(61,plain,
~ ~ ( c_tptpcol_15_74743 @ ( s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml @ f_urlfn @ f_urlfn @ genls ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(34,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ subsetof ) )
& ( B @ ( A @ subsetof ) ) )
=> ( B @ ( C @ subsetof ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just44) ).
thf(132,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ subsetof ) )
& ( B @ ( A @ subsetof ) ) )
=> ( B @ ( C @ subsetof ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ arg1isa ) )
=> ( A @ relation ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just18) ).
thf(116,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ arg1isa ) )
=> ( A @ relation ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ subsetof ) )
& ( B @ ( A @ most ) ) )
=> ( C @ ( A @ most ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just38) ).
thf(92,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ subsetof ) )
& ( B @ ( A @ most ) ) )
=> ( C @ ( A @ most ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ subsetof ) )
& ( B @ ( A @ subsetof ) ) )
=> ( C @ ( A @ subsetof ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just42) ).
thf(97,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ subsetof ) )
& ( B @ ( A @ subsetof ) ) )
=> ( C @ ( A @ subsetof ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(35,axiom,
! [A: $i] :
( ( c_transitivebinarypredicate @ ( A @ isa ) )
=> ( A @ transitivebinarypredicate ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just30) ).
thf(134,plain,
! [A: $i] :
( ( c_transitivebinarypredicate @ ( A @ isa ) )
=> ( A @ transitivebinarypredicate ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(32,axiom,
! [A: $i] :
( ( A @ setorcollection )
=> ( c_setorcollection @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just68) ).
thf(128,plain,
! [A: $i] :
( ( A @ setorcollection )
=> ( c_setorcollection @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(22,axiom,
c_setorcollection @ ( c_most @ arg1isa ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).
thf(105,plain,
c_setorcollection @ ( c_most @ arg1isa ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(50,axiom,
! [A: $i] : ( A @ ( n_1 @ ( A @ f_urlfn @ natargument ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just60) ).
thf(166,plain,
! [A: $i] : ( A @ ( n_1 @ ( A @ f_urlfn @ natargument ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(48,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genls ) )
=> ( A @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just23) ).
thf(161,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genls ) )
=> ( A @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(57,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genls ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just21) ).
thf(181,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genls ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(47,axiom,
! [A: $i] :
( ( A @ collection )
=> ( A @ ( A @ genls ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just27) ).
thf(159,plain,
! [A: $i] :
( ( A @ collection )
=> ( A @ ( A @ genls ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(60,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( C @ ( A @ disjointwith ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just74) ).
thf(187,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( C @ ( A @ disjointwith ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just72) ).
thf(81,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(21,axiom,
! [A: $i] :
( ( c_setorcollection @ ( A @ isa ) )
=> ( A @ setorcollection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just67) ).
thf(103,plain,
! [A: $i] :
( ( c_setorcollection @ ( A @ isa ) )
=> ( A @ setorcollection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ most ) )
=> ( A @ setorcollection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
thf(66,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ most ) )
=> ( A @ setorcollection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(45,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ isa ) ) )
=> ( C @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just66) ).
thf(155,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ isa ) ) )
=> ( C @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(24,axiom,
! [A: $i] :
( ( c_individual @ ( A @ isa ) )
=> ( A @ individual ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just69) ).
thf(108,plain,
! [A: $i] :
( ( c_individual @ ( A @ isa ) )
=> ( A @ individual ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ subsetof ) )
& ( B @ ( A @ most ) ) )
=> ( C @ ( A @ most ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just39) ).
thf(112,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ subsetof ) )
& ( B @ ( A @ most ) ) )
=> ( C @ ( A @ most ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(40,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ subsetof ) )
& ( B @ ( A @ subsetof ) ) )
=> ( C @ ( A @ subsetof ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just45) ).
thf(145,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ subsetof ) )
& ( B @ ( A @ subsetof ) ) )
=> ( C @ ( A @ subsetof ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ most ) )
=> ( A @ setorcollection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just35) ).
thf(63,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ most ) )
=> ( A @ setorcollection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(42,axiom,
! [A: $i] :
( ( A @ collection )
=> ( A @ ( A @ genls ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just26) ).
thf(150,plain,
! [A: $i] :
( ( A @ collection )
=> ( A @ ( A @ genls ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(44,axiom,
s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml @ f_urlfn @ f_urlfn @ individual,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just3) ).
thf(154,plain,
s_http_wwwahwatukeecomafnentertainmentarticles030423ahtml @ f_urlfn @ f_urlfn @ individual,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ most ) )
=> ( A @ setorcollection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).
thf(72,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ most ) )
=> ( A @ setorcollection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(54,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ arg1isa ) ) )
=> ( C @ ( A @ arg1isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just20) ).
thf(175,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ arg1isa ) ) )
=> ( C @ ( A @ arg1isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(39,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just71) ).
thf(143,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(27,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ subsetof ) )
=> ( B @ ( A @ most ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
thf(114,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ subsetof ) )
=> ( B @ ( A @ most ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(52,axiom,
! [A: $i] : ( A @ f_urlfn @ uniformresourcelocator ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just61) ).
thf(171,plain,
! [A: $i] : ( A @ f_urlfn @ uniformresourcelocator ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(37,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ subsetof ) )
=> ( B @ setorcollection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just40) ).
thf(139,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ subsetof ) )
=> ( B @ setorcollection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ most ) )
=> ( B @ setorcollection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just32) ).
thf(75,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ most ) )
=> ( B @ setorcollection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(29,axiom,
! [A: $i] :
~ ( ( A @ setorcollection )
& ( A @ individual ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just2) ).
thf(119,plain,
! [A: $i] :
~ ( ( A @ setorcollection )
& ( A @ individual ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(51,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genls ) )
=> ( A @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just24) ).
thf(168,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genls ) )
=> ( A @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(58,axiom,
! [A: $i] : ( c_urlfn @ ( A @ f_urlfn @ natfunction ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just59) ).
thf(183,plain,
! [A: $i] : ( c_urlfn @ ( A @ f_urlfn @ natfunction ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(36,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ ( B @ disjointwith ) )
& ( C @ ( A @ isa ) )
& ( B @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).
thf(136,plain,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ ( B @ disjointwith ) )
& ( C @ ( A @ isa ) )
& ( B @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ most ) )
=> ( B @ setorcollection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just33) ).
thf(79,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ most ) )
=> ( B @ setorcollection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ subsetof ) )
=> ( A @ setorcollection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just41) ).
thf(94,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ subsetof ) )
=> ( A @ setorcollection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just62) ).
thf(90,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(30,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just64) ).
thf(122,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(189,plain,
$false,
inference(e,[status(thm)],[185,152,85,70,141,77,173,130,177,99,69,101,88,110,125,157,164,179,106,84,147,61,132,116,92,97,134,128,105,166,161,181,159,187,81,103,66,155,108,112,145,63,150,154,72,175,143,114,171,139,75,119,168,183,136,79,94,90,122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR064+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % 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
% 0.13/0.39 % Computer : n001.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 00:36:46 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 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
% 0.83/0.96 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/1.19 % [INFO] Parsing done (227ms).
% 1.46/1.21 % [INFO] Running in sequential loop mode.
% 2.18/1.60 % [INFO] eprover registered as external prover.
% 2.18/1.61 % [INFO] Scanning for conjecture ...
% 2.34/1.70 % [INFO] Found a conjecture (or negated_conjecture) and 76 axioms. Running axiom selection ...
% 2.34/1.77 % [INFO] Axiom selection finished. Selected 58 axioms (removed 18 axioms).
% 2.52/1.85 % [INFO] Problem is first-order (TPTP FOF).
% 2.52/1.86 % [INFO] Type checking passed.
% 2.52/1.87 % [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 ...
% 4.66/2.67 % External prover 'e' found a proof!
% 4.66/2.67 % [INFO] Killing All external provers ...
% 4.66/2.67 % Time passed: 2139ms (effective reasoning time: 1456ms)
% 4.66/2.67 % 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)>
% 4.66/2.67 % Axioms used in derivation (58): just28, just64, just10, just8, just66, just60, just13, just14, just3, just73, just62, just36, just21, just75, just43, just17, just26, just15, just40, just4, just46, just35, just68, just63, just70, just27, just23, just22, just74, just11, just42, just7, just31, just67, just34, just45, just19, just38, just71, just1, just59, just24, just30, just41, just61, just29, just37, just18, just32, just39, just65, just69, just33, just2, just44, just72, just25, just20
% 4.66/2.67 % No. of inferences in proof: 120
% 4.66/2.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2139 ms resp. 1456 ms w/o parsing
% 5.03/2.77 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.03/2.77 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------