%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR038+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 : n004.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 07:00:14 AM UTC 2026
% Result : Theorem 6.34s 2.79s
% Output : Refutation 7.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 56
% Syntax : Number of formulae : 114 ( 41 unt; 0 typ; 0 def)
% Number of atoms : 204 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 578 ( 4 ~; 0 |; 19 &; 484 @)
% ( 0 <=>; 71 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 39 ( 38 usr; 18 con; 0-4 aty)
% Number of variables : 213 ( 0 ^; 210 !; 3 ?; 213 :)
% Comments :
%------------------------------------------------------------------------------
thf(mtvisible_decl,type,
mtvisible: $i > $o ).
thf(c_knowledgefragmentd3mt_decl,type,
c_knowledgefragmentd3mt: $i ).
thf(tptp_8_968_decl,type,
tptp_8_968: $i > $i > $o ).
thf(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804_decl,type,
c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804: $i ).
thf(tptpcol_16_7738_decl,type,
tptpcol_16_7738: $i > $o ).
thf(disjointwith_decl,type,
disjointwith: $i > $i > $o ).
thf(collection_decl,type,
collection: $i > $o ).
thf(relationexistsall_decl,type,
relationexistsall: $i > $i > $i > $o ).
thf(genls_decl,type,
genls: $i > $i > $o ).
thf(resultisaarg_decl,type,
resultisaarg: $i > $i > $o ).
thf(c_relationexistsallfn_decl,type,
c_relationexistsallfn: $i ).
thf(n_3_decl,type,
n_3: $i ).
thf(transitivebinarypredicate_decl,type,
transitivebinarypredicate: $i > $o ).
thf(c_genlmt_decl,type,
c_genlmt: $i ).
thf(isa_decl,type,
isa: $i > $i > $o ).
thf(c_transitivebinarypredicate_decl,type,
c_transitivebinarypredicate: $i ).
thf(genlmt_decl,type,
genlmt: $i > $i > $o ).
thf(microtheory_decl,type,
microtheory: $i > $o ).
thf(natargument_decl,type,
natargument: $i > $i > $i > $o ).
thf(f_subcollectionofwithrelationtotypefn_decl,type,
f_subcollectionofwithrelationtotypefn: $i > $i > $i > $i ).
thf(n_1_decl,type,
n_1: $i ).
thf(f_relationexistsallfn_decl,type,
f_relationexistsallfn: $i > $i > $i > $i > $i ).
thf(n_4_decl,type,
n_4: $i ).
thf(issuingaprescription_decl,type,
issuingaprescription: $i > $o ).
thf(c_issuingaprescription_decl,type,
c_issuingaprescription: $i ).
thf(n_2_decl,type,
n_2: $i ).
thf(c_correctivelensprescription_decl,type,
c_correctivelensprescription: $i ).
thf(correctivelensprescription_decl,type,
correctivelensprescription: $i > $o ).
thf(thing_decl,type,
thing: $i > $o ).
thf(natfunction_decl,type,
natfunction: $i > $i > $o ).
thf(c_tptp_8_968_decl,type,
c_tptp_8_968: $i ).
thf(c_tptpcol_16_7738_decl,type,
c_tptpcol_16_7738: $i ).
thf(c_products_decl,type,
c_products: $i ).
thf(c_basekb_decl,type,
c_basekb: $i ).
thf(c_universalvocabularymt_decl,type,
c_universalvocabularymt: $i ).
thf(subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_decl,type,
subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription: $i > $o ).
thf(c_subcollectionofwithrelationtotypefn_decl,type,
c_subcollectionofwithrelationtotypefn: $i ).
thf(tptpcol_7_7172_decl,type,
tptpcol_7_7172: $i > $o ).
thf(31,axiom,
! [A: $i,B: $i,C: $i,D: $i] : ( c_relationexistsallfn @ ( D @ ( C @ ( B @ ( A @ f_relationexistsallfn ) ) ) @ natfunction ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just64) ).
thf(120,plain,
! [A: $i,B: $i,C: $i,D: $i] : ( c_relationexistsallfn @ ( D @ ( C @ ( B @ ( A @ f_relationexistsallfn ) ) ) @ natfunction ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(24,axiom,
! [A: $i] :
( ( c_issuingaprescription @ ( A @ isa ) )
=> ( A @ issuingaprescription ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just32) ).
thf(106,plain,
! [A: $i] :
( ( c_issuingaprescription @ ( A @ isa ) )
=> ( A @ issuingaprescription ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(35,axiom,
c_correctivelensprescription @ ( c_products @ ( c_issuingaprescription @ f_subcollectionofwithrelationtotypefn ) ) @ ( c_tptpcol_16_7738 @ ( c_tptp_8_968 @ relationexistsall ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
thf(129,plain,
c_correctivelensprescription @ ( c_products @ ( c_issuingaprescription @ f_subcollectionofwithrelationtotypefn ) ) @ ( c_tptpcol_16_7738 @ ( c_tptp_8_968 @ relationexistsall ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(45,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just52) ).
thf(149,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(30,axiom,
! [A: $i,B: $i,C: $i,D: $i] : ( D @ ( C @ ( B @ ( A @ f_relationexistsallfn ) ) ) @ thing ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just69) ).
thf(118,plain,
! [A: $i,B: $i,C: $i,D: $i] : ( D @ ( C @ ( B @ ( A @ f_relationexistsallfn ) ) ) @ thing ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(25,axiom,
! [A: $i,B: $i,C: $i] : ( B @ ( n_2 @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationtotypefn ) ) @ natargument ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just36) ).
thf(108,plain,
! [A: $i,B: $i,C: $i] : ( B @ ( n_2 @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationtotypefn ) ) @ natargument ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just23) ).
thf(63,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(23,axiom,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just61) ).
thf(104,plain,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(1,conjecture,
? [A: $i] :
( ( c_knowledgefragmentd3mt @ mtvisible )
=> ( ( A @ tptpcol_16_7738 )
& ( c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @ ( A @ tptp_8_968 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query38) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( c_knowledgefragmentd3mt @ mtvisible )
=> ( ( A @ tptpcol_16_7738 )
& ( c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @ ( A @ tptp_8_968 ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(58,plain,
~ ? [A: $i] :
( ( c_knowledgefragmentd3mt @ mtvisible )
=> ( ( A @ tptpcol_16_7738 )
& ( c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @ ( A @ tptp_8_968 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(55,axiom,
c_basekb @ mtvisible,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just63) ).
thf(168,plain,
c_basekb @ mtvisible,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(39,axiom,
c_universalvocabularymt @ ( c_basekb @ genlmt ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).
thf(138,plain,
c_universalvocabularymt @ ( c_basekb @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just51) ).
thf(88,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(26,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just57) ).
thf(110,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(49,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tptp_8_968 ) )
=> ( A @ tptpcol_7_7172 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just44) ).
thf(157,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tptp_8_968 ) )
=> ( A @ tptpcol_7_7172 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(46,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just56) ).
thf(152,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ ( B @ disjointwith ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just25) ).
thf(78,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ ( B @ disjointwith ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(44,axiom,
! [A: $i,B: $i,C: $i] : ( c_subcollectionofwithrelationtotypefn @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationtotypefn ) ) @ natfunction ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
thf(147,plain,
! [A: $i,B: $i,C: $i] : ( c_subcollectionofwithrelationtotypefn @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationtotypefn ) ) @ natfunction ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(37,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just53) ).
thf(132,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( A @ thing ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(29,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just50) ).
thf(116,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ isa ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ relationexistsall ) ) )
=> ( B @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just46) ).
thf(74,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ relationexistsall ) ) )
=> ( B @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just58) ).
thf(85,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(22,axiom,
! [A: $i] :
( ( A @ issuingaprescription )
=> ( c_issuingaprescription @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just33) ).
thf(102,plain,
! [A: $i] :
( ( A @ issuingaprescription )
=> ( c_issuingaprescription @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(50,axiom,
! [A: $i] :
( ( A @ tptpcol_16_7738 )
=> ( c_tptpcol_16_7738 @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just42) ).
thf(160,plain,
! [A: $i] :
( ( A @ tptpcol_16_7738 )
=> ( c_tptpcol_16_7738 @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( C @ ( A @ disjointwith ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just26) ).
thf(70,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(53,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ tptp_8_968 ) )
=> ( B @ subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just43) ).
thf(165,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ tptp_8_968 ) )
=> ( B @ subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i,D: $i] : ( C @ ( n_3 @ ( D @ ( C @ ( B @ ( A @ f_relationexistsallfn ) ) ) @ natargument ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just67) ).
thf(92,plain,
! [A: $i,B: $i,C: $i,D: $i] : ( C @ ( n_3 @ ( D @ ( C @ ( B @ ( A @ f_relationexistsallfn ) ) ) @ natargument ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just24) ).
thf(65,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ disjointwith ) )
=> ( A @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(48,axiom,
c_basekb @ ( c_knowledgefragmentd3mt @ genlmt ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just3) ).
thf(156,plain,
c_basekb @ ( c_knowledgefragmentd3mt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(56,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ genlmt ) )
& ( A @ mtvisible ) )
=> ( B @ mtvisible ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just55) ).
thf(169,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ genlmt ) )
& ( A @ mtvisible ) )
=> ( B @ mtvisible ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(41,axiom,
! [A: $i] :
( ( c_correctivelensprescription @ ( c_products @ ( c_issuingaprescription @ f_subcollectionofwithrelationtotypefn ) ) @ ( A @ isa ) )
=> ( A @ subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just39) ).
thf(141,plain,
! [A: $i] :
( ( c_correctivelensprescription @ ( c_products @ ( c_issuingaprescription @ f_subcollectionofwithrelationtotypefn ) ) @ ( A @ isa ) )
=> ( A @ subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(33,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B @ ( D @ ( C @ relationexistsall ) ) )
& ( B @ ( A @ isa ) ) )
=> ( D @ ( B @ ( D @ ( C @ ( A @ f_relationexistsallfn ) ) ) @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
thf(124,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B @ ( D @ ( C @ relationexistsall ) ) )
& ( B @ ( A @ isa ) ) )
=> ( D @ ( B @ ( D @ ( C @ ( A @ f_relationexistsallfn ) ) ) @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(9,axiom,
n_3 @ ( c_relationexistsallfn @ resultisaarg ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just2) ).
thf(77,plain,
n_3 @ ( c_relationexistsallfn @ resultisaarg ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ isa ) ) )
=> ( C @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just54) ).
thf(96,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genls ) )
& ( B @ ( A @ isa ) ) )
=> ( C @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(12,axiom,
! [A: $i] :
( ( c_transitivebinarypredicate @ ( A @ isa ) )
=> ( A @ transitivebinarypredicate ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).
thf(81,plain,
! [A: $i] :
( ( c_transitivebinarypredicate @ ( A @ isa ) )
=> ( A @ transitivebinarypredicate ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(20,axiom,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just62) ).
thf(98,plain,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(36,axiom,
! [A: $i,B: $i,C: $i,D: $i] : ( B @ ( n_2 @ ( D @ ( C @ ( B @ ( A @ f_relationexistsallfn ) ) ) @ natargument ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just66) ).
thf(130,plain,
! [A: $i,B: $i,C: $i,D: $i] : ( B @ ( n_2 @ ( D @ ( C @ ( B @ ( A @ f_relationexistsallfn ) ) ) @ natargument ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(38,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just59) ).
thf(135,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(11,axiom,
c_genlmt @ transitivebinarypredicate,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).
thf(80,plain,
c_genlmt @ transitivebinarypredicate,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(54,axiom,
c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @ subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
thf(167,plain,
c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @ subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(51,axiom,
c_universalvocabularymt @ mtvisible,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just72) ).
thf(162,plain,
c_universalvocabularymt @ mtvisible,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(27,axiom,
! [A: $i,B: $i,C: $i] : ( C @ ( n_3 @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationtotypefn ) ) @ natargument ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).
thf(112,plain,
! [A: $i,B: $i,C: $i] : ( C @ ( n_3 @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationtotypefn ) ) @ natargument ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(43,axiom,
! [A: $i] :
( ( A @ subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription )
=> ( c_correctivelensprescription @ ( c_products @ ( c_issuingaprescription @ f_subcollectionofwithrelationtotypefn ) ) @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just40) ).
thf(145,plain,
! [A: $i] :
( ( A @ subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription )
=> ( c_correctivelensprescription @ ( c_products @ ( c_issuingaprescription @ f_subcollectionofwithrelationtotypefn ) ) @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(47,axiom,
! [A: $i] :
( ( c_correctivelensprescription @ ( c_products @ ( c_issuingaprescription @ f_subcollectionofwithrelationtotypefn ) ) @ ( A @ isa ) )
=> ( A @ ( c_correctivelensprescription @ ( c_products @ ( c_issuingaprescription @ f_subcollectionofwithrelationtotypefn ) ) @ ( c_tptpcol_16_7738 @ ( c_tptp_8_968 @ ( A @ f_relationexistsallfn ) ) ) @ tptp_8_968 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).
thf(154,plain,
! [A: $i] :
( ( c_correctivelensprescription @ ( c_products @ ( c_issuingaprescription @ f_subcollectionofwithrelationtotypefn ) ) @ ( A @ isa ) )
=> ( A @ ( c_correctivelensprescription @ ( c_products @ ( c_issuingaprescription @ f_subcollectionofwithrelationtotypefn ) ) @ ( c_tptpcol_16_7738 @ ( c_tptp_8_968 @ ( A @ f_relationexistsallfn ) ) ) @ tptp_8_968 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( B @ ( C @ disjointwith ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just27) ).
thf(72,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( C @ genls ) )
& ( B @ ( A @ disjointwith ) ) )
=> ( B @ ( C @ disjointwith ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(42,axiom,
! [A: $i,B: $i,C: $i] : ( C @ ( B @ ( A @ f_subcollectionofwithrelationtotypefn ) ) @ collection ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just38) ).
thf(143,plain,
! [A: $i,B: $i,C: $i] : ( C @ ( B @ ( A @ f_subcollectionofwithrelationtotypefn ) ) @ collection ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(28,axiom,
! [A: $i] :
( ( c_correctivelensprescription @ ( A @ isa ) )
=> ( A @ correctivelensprescription ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just28) ).
thf(114,plain,
! [A: $i] :
( ( c_correctivelensprescription @ ( A @ isa ) )
=> ( A @ correctivelensprescription ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(57,axiom,
c_correctivelensprescription @ ( c_products @ ( c_issuingaprescription @ f_subcollectionofwithrelationtotypefn ) ) @ ( c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @ isa ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
thf(171,plain,
c_correctivelensprescription @ ( c_products @ ( c_issuingaprescription @ f_subcollectionofwithrelationtotypefn ) ) @ ( c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @ isa ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(40,axiom,
! [A: $i] :
( ( A @ correctivelensprescription )
=> ( c_correctivelensprescription @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).
thf(139,plain,
! [A: $i] :
( ( A @ correctivelensprescription )
=> ( c_correctivelensprescription @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(34,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ ( B @ disjointwith ) )
& ( C @ ( A @ isa ) )
& ( B @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).
thf(126,plain,
! [A: $i,B: $i,C: $i] :
~ ( ( C @ ( B @ disjointwith ) )
& ( C @ ( A @ isa ) )
& ( B @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(18,axiom,
! [A: $i] :
( ( A @ transitivebinarypredicate )
=> ( c_transitivebinarypredicate @ ( A @ isa ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just49) ).
thf(94,plain,
! [A: $i] :
( ( A @ transitivebinarypredicate )
=> ( c_transitivebinarypredicate @ ( A @ isa ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(52,axiom,
! [A: $i] :
( ( c_tptpcol_16_7738 @ ( A @ isa ) )
=> ( A @ tptpcol_16_7738 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just41) ).
thf(163,plain,
! [A: $i] :
( ( c_tptpcol_16_7738 @ ( A @ isa ) )
=> ( A @ tptpcol_16_7738 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ relationexistsall ) ) )
=> ( C @ collection ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just45) ).
thf(68,plain,
! [A: $i,B: $i,C: $i] :
( ( C @ ( B @ ( A @ relationexistsall ) ) )
=> ( C @ collection ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i] : ( A @ ( n_1 @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationtotypefn ) ) @ natargument ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just35) ).
thf(90,plain,
! [A: $i,B: $i,C: $i] : ( A @ ( n_1 @ ( C @ ( B @ ( A @ f_subcollectionofwithrelationtotypefn ) ) @ natargument ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(32,axiom,
! [A: $i,B: $i,C: $i,D: $i] : ( A @ ( n_1 @ ( D @ ( C @ ( B @ ( A @ f_relationexistsallfn ) ) ) @ natargument ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just65) ).
thf(122,plain,
! [A: $i,B: $i,C: $i,D: $i] : ( A @ ( n_1 @ ( D @ ( C @ ( B @ ( A @ f_relationexistsallfn ) ) ) @ natargument ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genlmt ) )
& ( B @ ( A @ genlmt ) ) )
=> ( C @ ( A @ genlmt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just60) ).
thf(83,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genlmt ) )
& ( B @ ( A @ genlmt ) ) )
=> ( C @ ( A @ genlmt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(21,axiom,
! [A: $i,B: $i,C: $i,D: $i] : ( D @ ( n_4 @ ( D @ ( C @ ( B @ ( A @ f_relationexistsallfn ) ) ) @ natargument ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just68) ).
thf(100,plain,
! [A: $i,B: $i,C: $i,D: $i] : ( D @ ( n_4 @ ( D @ ( C @ ( B @ ( A @ f_relationexistsallfn ) ) ) @ natargument ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(172,plain,
$false,
inference(e,[status(thm)],[120,106,129,149,118,108,63,104,58,168,138,88,110,157,152,78,147,132,116,74,85,102,160,70,165,92,65,156,169,141,124,77,96,81,98,130,135,80,167,162,112,145,154,72,143,114,171,139,126,94,163,68,90,122,83,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR038+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.13 % 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
% 0.24/0.50 % Computer : n004.cluster.edu
% 0.24/0.50 % Model : x86_64 x86_64
% 0.24/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.50 % Memory : 8046.5625MB
% 0.24/0.50 % OS : Linux 6.8.0-71-generic
% 0.24/0.50 % CPULimit : 300
% 0.12/0.50 % WCLimit : 300
% 0.12/0.50 % DateTime : Sun Sep 27 00:08:06 UTC 2026
% 0.12/0.50 % CPUTime :
% 0.12/0.50 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
% 0.98/1.02 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.65/1.23 % [INFO] Parsing done (213ms).
% 1.65/1.24 % [INFO] Running in sequential loop mode.
% 2.56/1.59 % [INFO] eprover registered as external prover.
% 2.85/1.60 % [INFO] Scanning for conjecture ...
% 2.85/1.69 % [INFO] Found a conjecture (or negated_conjecture) and 72 axioms. Running axiom selection ...
% 3.10/1.78 % [INFO] Axiom selection finished. Selected 55 axioms (removed 17 axioms).
% 3.40/1.85 % [INFO] Problem is first-order (TPTP FOF).
% 3.40/1.86 % [INFO] Type checking passed.
% 3.40/1.86 % [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 ...
% 6.34/2.78 % External prover 'e' found a proof!
% 6.34/2.78 % [INFO] Killing All external provers ...
% 6.34/2.78 % Time passed: 2138ms (effective reasoning time: 1535ms)
% 6.34/2.78 % 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)>
% 6.34/2.79 % Axioms used in derivation (55): just53, just28, just64, just43, just10, just8, just27, just23, just67, just60, just9, just3, just62, just36, just51, just57, just26, just40, just4, just52, just46, just35, just68, just63, just7, just42, just56, just34, just45, just66, just49, just55, just1, just38, just59, just24, just6, just41, just61, just29, just37, just50, just32, just39, just65, just48, just54, just69, just33, just58, just5, just2, just44, just72, just25
% 6.34/2.79 % No. of inferences in proof: 114
% 6.34/2.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2138 ms resp. 1535 ms w/o parsing
% 7.00/2.96 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.00/2.96 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------