TSTP Solution File: CSR065+1 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : CSR065+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 7 07:33:22 EDT 2024
% Result : Theorem 3.06s 1.63s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 65
% Syntax : Number of formulae : 102 ( 25 unt; 30 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 : 23 ( 23 >; 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_type,type,
mtvisible: $i > $o ).
thf(c_tptp_spindlecollectormt_type,type,
c_tptp_spindlecollectormt: $i ).
thf(tptpofobject_type,type,
tptpofobject: $i > $i > $o ).
thf(c_tptpridgeline_topographical_type,type,
c_tptpridgeline_topographical: $i ).
thf(f_tptpquantityfn_13_type,type,
f_tptpquantityfn_13: $i > $i ).
thf(n_468_type,type,
n_468: $i ).
thf(isa_type,type,
isa: $i > $i > $o ).
thf(thing_type,type,
thing: $i > $o ).
thf(collection_type,type,
collection: $i > $o ).
thf(microtheory_type,type,
microtheory: $i > $o ).
thf(genlmt_type,type,
genlmt: $i > $i > $o ).
thf(relationallinstance_type,type,
relationallinstance: $i > $i > $i > $o ).
thf(binarypredicate_type,type,
binarypredicate: $i > $o ).
thf(c_calendarsmt_type,type,
c_calendarsmt: $i ).
thf(c_calendarsvocabularymt_type,type,
c_calendarsvocabularymt: $i ).
thf(c_cyclistsmt_type,type,
c_cyclistsmt: $i ).
thf(c_tptp_member3993_mt_type,type,
c_tptp_member3993_mt: $i ).
thf(c_tptp_spindleheadmt_type,type,
c_tptp_spindleheadmt: $i ).
thf(ridgeline_topographical_type,type,
ridgeline_topographical: $i > $o ).
thf(c_ridgeline_topographical_type,type,
c_ridgeline_topographical: $i ).
thf(c_basekb_type,type,
c_basekb: $i ).
thf(tptpquantity_type,type,
tptpquantity: $i > $o ).
thf(c_tptp_member235_mt_type,type,
c_tptp_member235_mt: $i ).
thf(natfunction_type,type,
natfunction: $i > $i > $o ).
thf(c_tptpquantityfn_13_type,type,
c_tptpquantityfn_13: $i ).
thf(c_universalvocabularymt_type,type,
c_universalvocabularymt: $i ).
thf(natargument_type,type,
natargument: $i > $i > $i > $o ).
thf(n_1_type,type,
n_1: $i ).
thf(c_tptpofobject_type,type,
c_tptpofobject: $i ).
thf(partiallytangible_type,type,
partiallytangible: $i > $o ).
thf(1,conjecture,
( ( mtvisible @ c_tptp_spindlecollectormt )
=> ( tptpofobject @ c_tptpridgeline_topographical @ ( f_tptpquantityfn_13 @ n_468 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query65) ).
thf(2,negated_conjecture,
~ ( ( mtvisible @ c_tptp_spindlecollectormt )
=> ( tptpofobject @ c_tptpridgeline_topographical @ ( f_tptpquantityfn_13 @ n_468 ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(37,plain,
~ ( ( mtvisible @ c_tptp_spindlecollectormt )
=> ( tptpofobject @ c_tptpridgeline_topographical @ ( f_tptpquantityfn_13 @ n_468 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( relationallinstance @ A @ B @ C )
=> ( binarypredicate @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).
thf(52,plain,
! [A: $i,B: $i,C: $i] :
( ( relationallinstance @ A @ B @ C )
=> ( binarypredicate @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(27,axiom,
genlmt @ c_tptp_spindlecollectormt @ c_tptp_member235_mt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).
thf(89,plain,
genlmt @ c_tptp_spindlecollectormt @ c_tptp_member235_mt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(16,axiom,
genlmt @ c_tptp_member3993_mt @ c_tptp_spindleheadmt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
thf(70,plain,
genlmt @ c_tptp_member3993_mt @ c_tptp_spindleheadmt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( collection @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just44) ).
thf(45,plain,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( collection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(17,axiom,
! [A: $i] :
( ( ridgeline_topographical @ A )
=> ( isa @ A @ c_ridgeline_topographical ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just39) ).
thf(71,plain,
! [A: $i] :
( ( ridgeline_topographical @ A )
=> ( isa @ A @ c_ridgeline_topographical ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( relationallinstance @ A @ B @ C )
=> ( collection @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just36) ).
thf(66,plain,
! [A: $i,B: $i,C: $i] :
( ( relationallinstance @ A @ B @ C )
=> ( collection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(31,axiom,
! [A: $i] : ( natargument @ ( f_tptpquantityfn_13 @ A ) @ n_1 @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
thf(95,plain,
! [A: $i] : ( natargument @ ( f_tptpquantityfn_13 @ A ) @ n_1 @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(7,axiom,
! [A: $i] :
( ( microtheory @ A )
=> ( genlmt @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just55) ).
thf(50,plain,
! [A: $i] :
( ( microtheory @ A )
=> ( genlmt @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( collection @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just43) ).
thf(43,plain,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( collection @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(19,axiom,
genlmt @ c_tptp_spindleheadmt @ c_cyclistsmt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).
thf(75,plain,
genlmt @ c_tptp_spindleheadmt @ c_cyclistsmt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(15,axiom,
genlmt @ c_cyclistsmt @ c_calendarsmt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just3) ).
thf(69,plain,
genlmt @ c_cyclistsmt @ c_calendarsmt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(34,axiom,
genlmt @ c_tptp_spindlecollectormt @ c_tptp_member3993_mt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
thf(101,plain,
genlmt @ c_tptp_spindlecollectormt @ c_tptp_member3993_mt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just51) ).
thf(57,plain,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(21,axiom,
genlmt @ c_calendarsvocabularymt @ c_basekb,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).
thf(78,plain,
genlmt @ c_calendarsvocabularymt @ c_basekb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just49) ).
thf(60,plain,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(25,axiom,
! [A: $i] : ( tptpquantity @ ( f_tptpquantityfn_13 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just32) ).
thf(85,plain,
! [A: $i] : ( tptpquantity @ ( f_tptpquantityfn_13 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(35,axiom,
! [A: $i,B: $i] :
( ( tptpofobject @ A @ B )
=> ( partiallytangible @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
thf(102,plain,
! [A: $i,B: $i] :
( ( tptpofobject @ A @ B )
=> ( partiallytangible @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(29,axiom,
( ( mtvisible @ c_cyclistsmt )
=> ( ridgeline_topographical @ c_tptpridgeline_topographical ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
thf(92,plain,
( ( mtvisible @ c_cyclistsmt )
=> ( ridgeline_topographical @ c_tptpridgeline_topographical ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(13,axiom,
genlmt @ c_calendarsmt @ c_calendarsvocabularymt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
thf(65,plain,
genlmt @ c_calendarsmt @ c_calendarsvocabularymt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(32,axiom,
( ( mtvisible @ c_tptp_member235_mt )
=> ( relationallinstance @ c_tptpofobject @ c_ridgeline_topographical @ ( f_tptpquantityfn_13 @ n_468 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
thf(97,plain,
( ( mtvisible @ c_tptp_member235_mt )
=> ( relationallinstance @ c_tptpofobject @ c_ridgeline_topographical @ ( f_tptpquantityfn_13 @ n_468 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just50) ).
thf(73,plain,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(36,axiom,
mtvisible @ c_basekb,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just40) ).
thf(105,plain,
mtvisible @ c_basekb,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(23,axiom,
! [A: $i] :
( ( isa @ A @ c_ridgeline_topographical )
=> ( ridgeline_topographical @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just38) ).
thf(81,plain,
! [A: $i] :
( ( isa @ A @ c_ridgeline_topographical )
=> ( ridgeline_topographical @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i] :
( ( relationallinstance @ A @ B @ C )
=> ( thing @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just35) ).
thf(76,plain,
! [A: $i,B: $i,C: $i] :
( ( relationallinstance @ A @ B @ C )
=> ( thing @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(33,axiom,
! [A: $i] :
( ( ( mtvisible @ c_tptp_member235_mt )
& ( ridgeline_topographical @ A ) )
=> ( tptpofobject @ A @ ( f_tptpquantityfn_13 @ n_468 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).
thf(99,plain,
! [A: $i] :
( ( ( mtvisible @ c_tptp_member235_mt )
& ( ridgeline_topographical @ A ) )
=> ( tptpofobject @ A @ ( f_tptpquantityfn_13 @ n_468 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(26,axiom,
! [A: $i,B: $i] :
( ( ( mtvisible @ A )
& ( genlmt @ A @ B ) )
=> ( mtvisible @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).
thf(87,plain,
! [A: $i,B: $i] :
( ( ( mtvisible @ A )
& ( genlmt @ A @ B ) )
=> ( mtvisible @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( thing @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just46) ).
thf(40,plain,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( thing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,axiom,
! [A: $i] :
( ( microtheory @ A )
=> ( genlmt @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just54) ).
thf(55,plain,
! [A: $i] :
( ( microtheory @ A )
=> ( genlmt @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(22,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( genlmt @ A @ B )
& ( genlmt @ B @ C ) )
=> ( genlmt @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just53) ).
thf(79,plain,
! [A: $i,B: $i,C: $i] :
( ( ( genlmt @ A @ B )
& ( genlmt @ B @ C ) )
=> ( genlmt @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(30,axiom,
mtvisible @ c_universalvocabularymt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just56) ).
thf(94,plain,
mtvisible @ c_universalvocabularymt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( thing @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just45) ).
thf(47,plain,
! [A: $i,B: $i] :
( ( isa @ A @ B )
=> ( thing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just52) ).
thf(62,plain,
! [A: $i,B: $i] :
( ( genlmt @ A @ B )
=> ( microtheory @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(28,axiom,
! [A: $i] : ( natfunction @ ( f_tptpquantityfn_13 @ A ) @ c_tptpquantityfn_13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just30) ).
thf(90,plain,
! [A: $i] : ( natfunction @ ( f_tptpquantityfn_13 @ A ) @ c_tptpquantityfn_13 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(24,axiom,
! [A: $i,B: $i] :
( ( tptpofobject @ A @ B )
=> ( tptpquantity @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just33) ).
thf(83,plain,
! [A: $i,B: $i] :
( ( tptpofobject @ A @ B )
=> ( tptpquantity @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(106,plain,
$false,
inference(e,[status(thm)],[37,52,89,70,45,71,66,95,50,43,75,69,101,57,78,60,85,102,92,65,97,73,105,81,76,99,87,40,55,79,94,47,62,90,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : CSR065+1 : TPTP v8.1.2. Released v3.4.0.
% 0.05/0.12 % Command : run_Leo-III %s %d
% 0.13/0.33 % Computer : n002.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon May 6 15:31:38 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.86/0.76 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.17/0.88 % [INFO] Parsing done (116ms).
% 1.17/0.88 % [INFO] Running in sequential loop mode.
% 1.59/1.07 % [INFO] eprover registered as external prover.
% 1.67/1.08 % [INFO] cvc4 registered as external prover.
% 1.67/1.08 % [INFO] Scanning for conjecture ...
% 1.67/1.13 % [INFO] Found a conjecture and 56 axioms. Running axiom selection ...
% 1.98/1.18 % [INFO] Axiom selection finished. Selected 34 axioms (removed 22 axioms).
% 1.98/1.21 % [INFO] Problem is first-order (TPTP FOF).
% 1.98/1.21 % [INFO] Type checking passed.
% 1.98/1.22 % [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 ...
% 3.06/1.62 % External prover 'e' found a proof!
% 3.06/1.62 % [INFO] Killing All external provers ...
% 3.06/1.62 % Time passed: 1133ms (effective reasoning time: 739ms)
% 3.06/1.63 % 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)>
% 3.06/1.63 % 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
% 3.06/1.63 % No. of inferences in proof: 72
% 3.06/1.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1133 ms resp. 739 ms w/o parsing
% 3.53/1.71 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.53/1.71 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------