%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR039+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 : Tue Sep 29 09:42:11 AM UTC 2026
% Result : Theorem 11.69s 3.43s
% Output : Refutation 16.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 32
% Syntax : Number of formulae : 125 ( 81 unt; 0 def)
% Number of atoms : 181 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 105 ( 49 ~; 46 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 30 con; 0-2 aty)
% Number of variables : 68 ( 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f276,axiom,
genls(c_tptpcol_7_18437,c_tptpcol_6_18436),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_276) ).
fof(f281,axiom,
genls(c_tptpcol_9_93699,c_tptpcol_8_93698),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_281) ).
fof(f460,axiom,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_460) ).
fof(f481,axiom,
genls(c_tptpcol_6_18436,c_tptpcol_5_16388),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_481) ).
fof(f537,axiom,
genls(c_tptpcol_7_93186,c_tptpcol_6_92162),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_537) ).
fof(f539,axiom,
genls(c_tptpcol_12_93765,c_tptpcol_11_93764),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_539) ).
fof(f593,axiom,
genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_593) ).
fof(f635,axiom,
genls(c_tptpcol_11_93764,c_tptpcol_10_93700),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_635) ).
fof(f661,axiom,
genls(c_tptpcol_13_93766,c_tptpcol_12_93765),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_661) ).
fof(f668,axiom,
genls(c_tptpcol_12_18663,c_tptpcol_11_18631),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_668) ).
fof(f740,axiom,
genls(c_tptpcol_10_18567,c_tptpcol_9_18439),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_740) ).
fof(f783,axiom,
genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_783) ).
fof(f867,axiom,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_867) ).
fof(f910,axiom,
genls(c_tptpcol_5_16388,c_tptpcol_4_16387),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_910) ).
fof(f1248,axiom,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_1248) ).
fof(f1694,axiom,
genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_1694) ).
fof(f1859,axiom,
genls(c_tptpcol_8_18438,c_tptpcol_7_18437),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_1859) ).
fof(f1942,axiom,
genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_1942) ).
fof(f2137,axiom,
genls(c_tptpcol_13_18664,c_tptpcol_12_18663),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2137) ).
fof(f2210,axiom,
genls(c_tptpcol_14_93774,c_tptpcol_13_93766),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2210) ).
fof(f2762,axiom,
genls(c_tptpcol_15_93775,c_tptpcol_14_93774),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2762) ).
fof(f2958,axiom,
genls(c_tptpcol_10_93700,c_tptpcol_9_93699),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2958) ).
fof(f2964,axiom,
genls(c_tptpcol_8_93698,c_tptpcol_7_93186),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2964) ).
fof(f3253,axiom,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3253) ).
fof(f3301,axiom,
genls(c_tptpcol_11_18631,c_tptpcol_10_18567),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3301) ).
fof(f3518,axiom,
genls(c_tptpcol_9_18439,c_tptpcol_8_18438),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3518) ).
fof(f3629,axiom,
genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_3629) ).
fof(f7584,axiom,
! [X0,X1] :
( disjointwith(X0,X1)
=> disjointwith(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7584) ).
fof(f7585,axiom,
! [X0,X1,X2] :
( ( disjointwith(X0,X1)
& genls(X2,X1) )
=> disjointwith(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7585) ).
fof(f7586,axiom,
! [X0,X1,X2] :
( ( disjointwith(X0,X1)
& genls(X2,X0) )
=> disjointwith(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7586) ).
fof(f7991,axiom,
! [X0,X1,X2] :
( ( genls(X0,X1)
& genls(X1,X2) )
=> genls(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7991) ).
fof(f8006,conjecture,
( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwpoweripodsearchinfobrown_ipodhtml)),c_translation_7))
=> disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query139) ).
fof(f8007,negated_conjecture,
~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwpoweripodsearchinfobrown_ipodhtml)),c_translation_7))
=> disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8008,plain,
( ~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664)
& mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwpoweripodsearchinfobrown_ipodhtml)),c_translation_7)) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f8011,plain,
! [X0,X1,X2] :
( disjointwith(X2,X1)
| ~ disjointwith(X0,X1)
| ~ genls(X2,X0) ),
inference(ennf_transformation,[],[f7586]) ).
fof(f8012,plain,
! [X0,X1,X2] :
( disjointwith(X2,X1)
| ~ disjointwith(X0,X1)
| ~ genls(X2,X0) ),
inference(flattening,[],[f8011]) ).
fof(f8013,plain,
! [X0,X1,X2] :
( disjointwith(X0,X2)
| ~ disjointwith(X0,X1)
| ~ genls(X2,X1) ),
inference(ennf_transformation,[],[f7585]) ).
fof(f8014,plain,
! [X0,X1,X2] :
( disjointwith(X0,X2)
| ~ disjointwith(X0,X1)
| ~ genls(X2,X1) ),
inference(flattening,[],[f8013]) ).
fof(f8015,plain,
! [X0,X1] :
( disjointwith(X1,X0)
| ~ disjointwith(X0,X1) ),
inference(ennf_transformation,[],[f7584]) ).
fof(f8032,plain,
! [X0,X1,X2] :
( genls(X0,X2)
| ~ genls(X0,X1)
| ~ genls(X1,X2) ),
inference(ennf_transformation,[],[f7991]) ).
fof(f8033,plain,
! [X0,X1,X2] :
( genls(X0,X2)
| ~ genls(X0,X1)
| ~ genls(X1,X2) ),
inference(flattening,[],[f8032]) ).
fof(f8705,plain,
~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664),
inference(cnf_transformation,[],[f8008]) ).
fof(f8707,plain,
! [X2,X0,X1] :
( ~ genls(X2,X0)
| ~ disjointwith(X0,X1)
| disjointwith(X2,X1) ),
inference(cnf_transformation,[],[f8012]) ).
fof(f8708,plain,
! [X2,X0,X1] :
( ~ genls(X2,X1)
| ~ disjointwith(X0,X1)
| disjointwith(X0,X2) ),
inference(cnf_transformation,[],[f8014]) ).
fof(f8709,plain,
! [X0,X1] :
( ~ disjointwith(X0,X1)
| disjointwith(X1,X0) ),
inference(cnf_transformation,[],[f8015]) ).
fof(f8727,plain,
genls(c_tptpcol_13_18664,c_tptpcol_12_18663),
inference(cnf_transformation,[],[f2137]) ).
fof(f8733,plain,
genls(c_tptpcol_15_93775,c_tptpcol_14_93774),
inference(cnf_transformation,[],[f2762]) ).
fof(f8737,plain,
! [X2,X0,X1] :
( ~ genls(X1,X2)
| ~ genls(X0,X1)
| genls(X0,X2) ),
inference(cnf_transformation,[],[f8033]) ).
fof(f8773,plain,
genls(c_tptpcol_12_18663,c_tptpcol_11_18631),
inference(cnf_transformation,[],[f668]) ).
fof(f8780,plain,
genls(c_tptpcol_14_93774,c_tptpcol_13_93766),
inference(cnf_transformation,[],[f2210]) ).
fof(f8802,plain,
genls(c_tptpcol_11_18631,c_tptpcol_10_18567),
inference(cnf_transformation,[],[f3301]) ).
fof(f8810,plain,
genls(c_tptpcol_13_93766,c_tptpcol_12_93765),
inference(cnf_transformation,[],[f661]) ).
fof(f8840,plain,
genls(c_tptpcol_10_18567,c_tptpcol_9_18439),
inference(cnf_transformation,[],[f740]) ).
fof(f8851,plain,
genls(c_tptpcol_12_93765,c_tptpcol_11_93764),
inference(cnf_transformation,[],[f539]) ).
fof(f8873,plain,
genls(c_tptpcol_9_18439,c_tptpcol_8_18438),
inference(cnf_transformation,[],[f3518]) ).
fof(f8884,plain,
genls(c_tptpcol_11_93764,c_tptpcol_10_93700),
inference(cnf_transformation,[],[f635]) ).
fof(f8912,plain,
genls(c_tptpcol_8_18438,c_tptpcol_7_18437),
inference(cnf_transformation,[],[f1859]) ).
fof(f8922,plain,
genls(c_tptpcol_10_93700,c_tptpcol_9_93699),
inference(cnf_transformation,[],[f2958]) ).
fof(f8939,plain,
genls(c_tptpcol_7_18437,c_tptpcol_6_18436),
inference(cnf_transformation,[],[f276]) ).
fof(f8947,plain,
genls(c_tptpcol_9_93699,c_tptpcol_8_93698),
inference(cnf_transformation,[],[f281]) ).
fof(f8968,plain,
genls(c_tptpcol_6_18436,c_tptpcol_5_16388),
inference(cnf_transformation,[],[f481]) ).
fof(f8976,plain,
genls(c_tptpcol_8_93698,c_tptpcol_7_93186),
inference(cnf_transformation,[],[f2964]) ).
fof(f8993,plain,
genls(c_tptpcol_5_16388,c_tptpcol_4_16387),
inference(cnf_transformation,[],[f910]) ).
fof(f9004,plain,
genls(c_tptpcol_7_93186,c_tptpcol_6_92162),
inference(cnf_transformation,[],[f537]) ).
fof(f9015,plain,
genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
inference(cnf_transformation,[],[f783]) ).
fof(f9026,plain,
genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
inference(cnf_transformation,[],[f1694]) ).
fof(f9048,plain,
genls(c_tptpcol_3_16386,c_tptpcol_2_2),
inference(cnf_transformation,[],[f460]) ).
fof(f9056,plain,
genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
inference(cnf_transformation,[],[f1942]) ).
fof(f9085,plain,
genls(c_tptpcol_2_2,c_tptpcol_1_1),
inference(cnf_transformation,[],[f3253]) ).
fof(f9100,plain,
genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
inference(cnf_transformation,[],[f3629]) ).
fof(f9159,plain,
disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
inference(cnf_transformation,[],[f1248]) ).
fof(f9183,plain,
genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
inference(cnf_transformation,[],[f593]) ).
fof(f9226,plain,
genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
inference(cnf_transformation,[],[f867]) ).
fof(f9926,plain,
disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1),
inference(resolution,[],[f8709,f9159]) ).
fof(f10087,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_9_18439)
| genls(X0,c_tptpcol_8_18438) ),
inference(resolution,[],[f8737,f8873]) ).
fof(f10093,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_10_18567)
| genls(X0,c_tptpcol_9_18439) ),
inference(resolution,[],[f8737,f8840]) ).
fof(f10095,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_7_18437)
| genls(X0,c_tptpcol_6_18436) ),
inference(resolution,[],[f8737,f8939]) ).
fof(f10096,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_6_18436)
| genls(X0,c_tptpcol_5_16388) ),
inference(resolution,[],[f8737,f8968]) ).
fof(f10097,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_9_93699)
| genls(X0,c_tptpcol_8_93698) ),
inference(resolution,[],[f8737,f8947]) ).
fof(f10098,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_8_93698)
| genls(X0,c_tptpcol_7_93186) ),
inference(resolution,[],[f8737,f8976]) ).
fof(f10103,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_3_16386)
| genls(X0,c_tptpcol_2_2) ),
inference(resolution,[],[f8737,f9048]) ).
fof(f10104,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_2_2)
| genls(X0,c_tptpcol_1_1) ),
inference(resolution,[],[f8737,f9085]) ).
fof(f10105,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_5_16388)
| genls(X0,c_tptpcol_4_16387) ),
inference(resolution,[],[f8737,f8993]) ).
fof(f10108,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_3_81921)
| genls(X0,c_tptpcol_2_65537) ),
inference(resolution,[],[f8737,f9183]) ).
fof(f10109,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_7_93186)
| genls(X0,c_tptpcol_6_92162) ),
inference(resolution,[],[f8737,f9004]) ).
fof(f10110,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_6_92162)
| genls(X0,c_tptpcol_5_90114) ),
inference(resolution,[],[f8737,f9026]) ).
fof(f10111,plain,
! [X0] :
( genls(X0,c_tptpcol_11_93764)
| ~ genls(X0,c_tptpcol_12_93765) ),
inference(resolution,[],[f8737,f8851]) ).
fof(f10112,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_11_93764)
| genls(X0,c_tptpcol_10_93700) ),
inference(resolution,[],[f8737,f8884]) ).
fof(f10115,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_2_65537)
| genls(X0,c_tptpcol_1_65536) ),
inference(resolution,[],[f8737,f9226]) ).
fof(f10117,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_10_93700)
| genls(X0,c_tptpcol_9_93699) ),
inference(resolution,[],[f8737,f8922]) ).
fof(f10118,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_13_93766)
| genls(X0,c_tptpcol_12_93765) ),
inference(resolution,[],[f8737,f8810]) ).
fof(f10119,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_12_18663)
| genls(X0,c_tptpcol_11_18631) ),
inference(resolution,[],[f8737,f8773]) ).
fof(f10120,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_11_18631)
| genls(X0,c_tptpcol_10_18567) ),
inference(resolution,[],[f8737,f8802]) ).
fof(f10123,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_4_16387)
| genls(X0,c_tptpcol_3_16386) ),
inference(resolution,[],[f8737,f9015]) ).
fof(f10127,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_5_90114)
| genls(X0,c_tptpcol_4_90113) ),
inference(resolution,[],[f8737,f9056]) ).
fof(f10142,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_14_93774)
| genls(X0,c_tptpcol_13_93766) ),
inference(resolution,[],[f8737,f8780]) ).
fof(f10143,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_8_18438)
| genls(X0,c_tptpcol_7_18437) ),
inference(resolution,[],[f8737,f8912]) ).
fof(f10144,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_4_90113)
| genls(X0,c_tptpcol_3_81921) ),
inference(resolution,[],[f8737,f9100]) ).
fof(f10148,plain,
genls(c_tptpcol_13_18664,c_tptpcol_11_18631),
inference(resolution,[],[f10119,f8727]) ).
fof(f10149,plain,
genls(c_tptpcol_15_93775,c_tptpcol_13_93766),
inference(resolution,[],[f10142,f8733]) ).
fof(f10201,plain,
genls(c_tptpcol_15_93775,c_tptpcol_12_93765),
inference(resolution,[],[f10118,f10149]) ).
fof(f10215,plain,
genls(c_tptpcol_13_18664,c_tptpcol_10_18567),
inference(resolution,[],[f10120,f10148]) ).
fof(f10226,plain,
genls(c_tptpcol_13_18664,c_tptpcol_9_18439),
inference(resolution,[],[f10093,f10215]) ).
fof(f10238,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_12_93765)
| genls(X0,c_tptpcol_10_93700) ),
inference(resolution,[],[f10112,f10111]) ).
fof(f10242,plain,
genls(c_tptpcol_15_93775,c_tptpcol_10_93700),
inference(resolution,[],[f10238,f10201]) ).
fof(f10243,plain,
genls(c_tptpcol_15_93775,c_tptpcol_9_93699),
inference(resolution,[],[f10242,f10117]) ).
fof(f10247,plain,
genls(c_tptpcol_15_93775,c_tptpcol_8_93698),
inference(resolution,[],[f10243,f10097]) ).
fof(f10251,plain,
genls(c_tptpcol_15_93775,c_tptpcol_7_93186),
inference(resolution,[],[f10247,f10098]) ).
fof(f10255,plain,
genls(c_tptpcol_15_93775,c_tptpcol_6_92162),
inference(resolution,[],[f10251,f10109]) ).
fof(f10259,plain,
genls(c_tptpcol_15_93775,c_tptpcol_5_90114),
inference(resolution,[],[f10255,f10110]) ).
fof(f10263,plain,
genls(c_tptpcol_15_93775,c_tptpcol_4_90113),
inference(resolution,[],[f10259,f10127]) ).
fof(f10267,plain,
genls(c_tptpcol_15_93775,c_tptpcol_3_81921),
inference(resolution,[],[f10263,f10144]) ).
fof(f10279,plain,
genls(c_tptpcol_13_18664,c_tptpcol_8_18438),
inference(resolution,[],[f10087,f10226]) ).
fof(f10280,plain,
genls(c_tptpcol_13_18664,c_tptpcol_7_18437),
inference(resolution,[],[f10279,f10143]) ).
fof(f10284,plain,
genls(c_tptpcol_13_18664,c_tptpcol_6_18436),
inference(resolution,[],[f10280,f10095]) ).
fof(f10288,plain,
genls(c_tptpcol_13_18664,c_tptpcol_5_16388),
inference(resolution,[],[f10284,f10096]) ).
fof(f10292,plain,
genls(c_tptpcol_13_18664,c_tptpcol_4_16387),
inference(resolution,[],[f10288,f10105]) ).
fof(f10296,plain,
genls(c_tptpcol_13_18664,c_tptpcol_3_16386),
inference(resolution,[],[f10292,f10123]) ).
fof(f10300,plain,
genls(c_tptpcol_13_18664,c_tptpcol_2_2),
inference(resolution,[],[f10296,f10103]) ).
fof(f10304,plain,
genls(c_tptpcol_13_18664,c_tptpcol_1_1),
inference(resolution,[],[f10300,f10104]) ).
fof(f10310,plain,
! [X0] :
( ~ disjointwith(X0,c_tptpcol_1_1)
| disjointwith(X0,c_tptpcol_13_18664) ),
inference(resolution,[],[f10304,f8708]) ).
fof(f10361,plain,
genls(c_tptpcol_15_93775,c_tptpcol_2_65537),
inference(resolution,[],[f10108,f10267]) ).
fof(f10362,plain,
genls(c_tptpcol_15_93775,c_tptpcol_1_65536),
inference(resolution,[],[f10361,f10115]) ).
fof(f12480,plain,
disjointwith(c_tptpcol_1_65536,c_tptpcol_13_18664),
inference(resolution,[],[f10310,f9926]) ).
fof(f12481,plain,
$false,
inference(unit_resulting_resolution,[],[f8707,f8705,f10362,f12480]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR039+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.31 % Computer : n020.cluster.edu
% 0.28/0.31 % Model : x86_64 x86_64
% 0.28/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.28/0.31 % Memory : 8046.5625MB
% 0.28/0.31 % OS : Linux 6.8.0-71-generic
% 0.28/0.31 % CPULimit : 300
% 0.28/0.31 % WCLimit : 300
% 0.28/0.31 % DateTime : Mon Sep 28 22:15:49 UTC 2026
% 0.28/0.31 % CPUTime :
% 0.28/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.36 Running first-order theorem proving
% 0.28/0.36 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.69/3.43 % (631947)Detected formulas, will run a generic FOF schedule.
% 11.69/3.43 % (631954)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2716540104:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 11.69/3.43 % (631952)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2557637977:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 11.69/3.43 % (631953)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=157153069:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 11.69/3.43 % (631956)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3053850998:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 11.69/3.43 % (631958)dis-21_1_sil=8000:lcm=predicate:random_seed=1733059684:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 11.69/3.43 % (631957)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1114771195:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 11.69/3.43 % (631955)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3422339044:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 11.69/3.43 % (631955)Refutation not found, incomplete strategy
% 11.69/3.43 % (631955)------------------------------
% 11.69/3.43 % (631955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/3.43 % (631955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/3.43 % (631955)CaDiCaL version: 2.1.3
% 11.69/3.43 % (631955)Termination reason: Refutation not found, incomplete strategy
% 11.69/3.43 % (631955)Time elapsed: 0.025 s
% 11.69/3.43 % (631955)Peak memory usage: 94 MB
% 11.69/3.43 % (631955)Instructions burned: 24 (million)
% 11.69/3.43 % (631956)Instruction limit reached!
% 11.69/3.43 % (631956)------------------------------
% 11.69/3.43 % (631956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/3.43 % (631956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/3.43 % (631956)CaDiCaL version: 2.1.3
% 11.69/3.43 % (631956)Termination reason: Instruction limit
% 11.69/3.43 % (631956)Termination phase: Saturation
% 11.69/3.43 % (631956)Time elapsed: 0.107 s
% 11.69/3.43 % (631956)Peak memory usage: 93 MB
% 11.69/3.43 % (631956)Instructions burned: 119 (million)
% 11.69/3.43 % (631958)Instruction limit reached!
% 11.69/3.43 % (631958)------------------------------
% 11.69/3.43 % (631958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/3.43 % (631958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/3.43 % (631958)CaDiCaL version: 2.1.3
% 11.69/3.43 % (631958)Termination reason: Instruction limit
% 11.69/3.43 % (631958)Termination phase: Saturation
% 11.69/3.43 % (631958)Time elapsed: 0.120 s
% 11.69/3.43 % (631958)Peak memory usage: 95 MB
% 11.69/3.43 % (631958)Instructions burned: 130 (million)
% 11.69/3.43 % (631957)Instruction limit reached!
% 11.69/3.43 % (631957)------------------------------
% 11.69/3.43 % (631957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/3.43 % (631957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/3.43 % (631957)CaDiCaL version: 2.1.3
% 11.69/3.43 % (631957)Termination reason: Instruction limit
% 11.69/3.43 % (631957)Termination phase: Property scanning
% 11.69/3.43 % (631957)Time elapsed: 0.133 s
% 11.69/3.43 % (631957)Peak memory usage: 93 MB
% 11.69/3.43 % (631957)Instructions burned: 140 (million)
% 11.69/3.43 % (631967)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2423202511:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 11.69/3.43 % (631955)------------------------------
% 11.69/3.43 % (631955)------------------------------
% 11.69/3.43 % (631966)lrs+10_1_sil=8000:sp=occurrence:random_seed=1195760236:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 11.69/3.43 % (631968)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1584309931:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 11.69/3.43 % (631966)Refutation not found, incomplete strategy
% 11.69/3.43 % (631966)------------------------------
% 11.69/3.43 % (631966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/3.43 % (631966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/3.43 % (631966)CaDiCaL version: 2.1.3
% 11.69/3.43 % (631966)Termination reason: Refutation not found, incomplete strategy
% 11.69/3.43 % (631966)Time elapsed: 0.020 s
% 11.69/3.43 % (631966)Peak memory usage: 94 MB
% 11.69/3.43 % (631966)Instructions burned: 29 (million)
% 11.69/3.43 % (631967)Refutation not found, incomplete strategy
% 11.69/3.43 % (631967)------------------------------
% 11.69/3.43 % (631967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/3.43 % (631967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/3.43 % (631967)CaDiCaL version: 2.1.3
% 11.69/3.43 % (631967)Termination reason: Refutation not found, incomplete strategy
% 11.69/3.43 % (631967)Time elapsed: 0.052 s
% 11.69/3.43 % (631967)Peak memory usage: 94 MB
% 11.69/3.43 % (631967)Instructions burned: 57 (million)
% 11.69/3.43 % (631968)Refutation not found, incomplete strategy
% 11.69/3.43 % (631968)------------------------------
% 11.69/3.43 % (631968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/3.43 % (631968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/3.43 % (631968)CaDiCaL version: 2.1.3
% 11.69/3.43 % (631968)Termination reason: Refutation not found, incomplete strategy
% 11.69/3.43 % (631968)Time elapsed: 0.026 s
% 11.69/3.43 % (631968)Peak memory usage: 94 MB
% 11.69/3.43 % (631968)Instructions burned: 20 (million)
% 11.69/3.43 % (631966)------------------------------
% 11.69/3.43 % (631966)------------------------------
% 11.69/3.43 % (631970)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2230760975:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 11.69/3.43 % (631967)------------------------------
% 11.69/3.43 % (631967)------------------------------
% 11.69/3.43 % (631968)------------------------------
% 11.69/3.43 % (631968)------------------------------
% 11.69/3.43 % (631970)Instruction limit reached!
% 11.69/3.43 % (631970)------------------------------
% 11.69/3.43 % (631970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/3.43 % (631970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/3.43 % (631970)CaDiCaL version: 2.1.3
% 11.69/3.43 % (631970)Termination reason: Instruction limit
% 11.69/3.43 % (631970)Termination phase: Saturation
% 11.69/3.43 % (631970)Time elapsed: 0.227 s
% 11.69/3.43 % (631970)Peak memory usage: 98 MB
% 11.69/3.43 % (631970)Instructions burned: 248 (million)
% 11.69/3.43 % (631973)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2212188873:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 11.69/3.43 % (631975)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1305985315:i=2350_2986 on theBenchmark for (2986ds/2350Mi)
% 11.69/3.43 % (631976)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2830938739:cts=off:i=113:fsr=off:ss=included:sgt=4_2986 on theBenchmark for (2986ds/113Mi)
% 11.69/3.43 % (631973)Instruction limit reached!
% 11.69/3.43 % (631973)------------------------------
% 11.69/3.43 % (631973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/3.43 % (631973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/3.43 % (631973)CaDiCaL version: 2.1.3
% 11.69/3.43 % (631973)Termination reason: Instruction limit
% 11.69/3.43 % (631973)Termination phase: Saturation
% 11.69/3.43 % (631973)Time elapsed: 0.223 s
% 11.69/3.43 % (631973)Peak memory usage: 94 MB
% 11.69/3.43 % (631973)Instructions burned: 295 (million)
% 11.69/3.43 % (631977)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=271917806:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 11.69/3.43 % (631976)Instruction limit reached!
% 11.69/3.43 % (631976)------------------------------
% 11.69/3.43 % (631976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/3.43 % (631976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/3.43 % (631976)CaDiCaL version: 2.1.3
% 11.69/3.43 % (631976)Termination reason: Instruction limit
% 11.69/3.43 % (631976)Termination phase: Saturation
% 11.69/3.43 % (631976)Time elapsed: 0.101 s
% 11.69/3.43 % (631976)Peak memory usage: 94 MB
% 11.69/3.43 % (631976)Instructions burned: 114 (million)
% 11.69/3.43 % (631977)Instruction limit reached!
% 11.69/3.43 % (631977)------------------------------
% 11.69/3.43 % (631977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/3.43 % (631977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/3.43 % (631977)CaDiCaL version: 2.1.3
% 11.69/3.43 % (631977)Termination reason: Instruction limit
% 11.69/3.43 % (631977)Termination phase: Blocked clause elimination
% 11.69/3.43 % (631977)Time elapsed: 0.127 s
% 11.69/3.43 % (631977)Peak memory usage: 95 MB
% 11.69/3.43 % (631977)Instructions burned: 128 (million)
% 11.69/3.43 % (631981)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2394111484:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2982 on theBenchmark for (2982ds/114Mi)
% 11.69/3.43 % (631953)First to succeed.
% 11.69/3.43 % (631953)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-631947"
% 11.69/3.43 % (631983)lrs+10_1_sil=8000:sp=occurrence:random_seed=3790250051:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2982 on theBenchmark for (2982ds/907Mi)
% 11.69/3.43 % (631981)Instruction limit reached!
% 11.69/3.43 % (631981)------------------------------
% 11.69/3.43 % (631981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/3.43 % (631981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/3.43 % (631981)CaDiCaL version: 2.1.3
% 11.69/3.43 % (631981)Termination reason: Instruction limit
% 11.69/3.43 % (631981)Termination phase: Saturation
% 11.69/3.43 % (631981)Time elapsed: 0.102 s
% 11.69/3.43 % (631981)Peak memory usage: 93 MB
% 11.69/3.43 % (631981)Instructions burned: 114 (million)
% 11.69/3.43 % (631984)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=251377301:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 11.69/3.43 % (631953)Refutation found. Thanks to Tanya!
% 11.69/3.43 % SZS status Theorem for theBenchmark
% 11.69/3.43 % SZS output start Proof for theBenchmark
% See solution above
% 16.32/3.82 % (631953)------------------------------
% 16.32/3.82 % (631953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.32/3.82 % (631953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.32/3.82 % (631953)CaDiCaL version: 2.1.3
% 16.32/3.82 % (631953)Termination reason: Refutation
% 16.32/3.82 % (631953)Time elapsed: 1.552 s
% 16.32/3.82 % (631953)Peak memory usage: 150 MB
% 16.32/3.82 % (631953)Instructions burned: 1904 (million)
% 16.32/3.82 % (631953)------------------------------
% 16.32/3.82 % (631953)------------------------------
% 16.32/3.82 % (631947)Success in time 2.338 s
% 16.32/3.82 % Vampire exiting
%------------------------------------------------------------------------------