%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV679+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:58:33 PM UTC 2026
% Result : Theorem 2.57s 1.13s
% Output : Refutation 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 99 ( 19 unt; 8 def)
% Number of atoms : 454 ( 0 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 657 ( 302 ~; 275 |; 45 &)
% ( 8 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 5 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-4 aty)
% Number of variables : 189 ( 0 sgn 172 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2130,axiom,
! [X0] :
( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
=> ! [X1] :
( cPLF_2eReferences_2eSTLCRef_2etm___24t(X1)
=> ! [X2] :
( cPLF_2eReferences_2eSTLCRef_2etm___24t(X2)
=> ! [X3] :
( cPLF_2eReferences_2eSTLCRef_2ety___24t(X3)
=> ! [X4] :
( cPLF_2eReferences_2eSTLCRef_2estore___24t(X4)
=> ! [X5] :
( cPLF_2eReferences_2eSTLCRef_2estore___24t(X5)
=> ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X1,X3)
=> ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,X4)
=> ( cPLF_2eReferences_2eSTLCRef_2estep___24a2(cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X1,X4),cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X2,X5))
=> ? [X6] :
( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X6)
& cPLF_2eReferences_2eSTLCRef_2eextends___24a2(X6,X0)
& cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X6,X2,X3)
& cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X6,X5) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','UseAuto.PreservationProgressReferences.preservation') ).
fof(f3357,conjecture,
! [X0] :
( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
=> ! [X1] :
( cPLF_2eReferences_2eSTLCRef_2etm___24t(X1)
=> ! [X2] :
( cPLF_2eReferences_2eSTLCRef_2etm___24t(X2)
=> ! [X3] :
( cPLF_2eReferences_2eSTLCRef_2ety___24t(X3)
=> ! [X4] :
( cPLF_2eReferences_2eSTLCRef_2estore___24t(X4)
=> ! [X5] :
( cPLF_2eReferences_2eSTLCRef_2estore___24t(X5)
=> ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X1,X3)
=> ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,X4)
=> ( cPLF_2eReferences_2eSTLCRef_2estep___24a2(cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X1,X4),cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X2,X5))
=> ? [X6] :
( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X6)
& cPLF_2eReferences_2eSTLCRef_2eextends___24a2(X6,X0)
& cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X6,X2,X3)
& cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X6,X5) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f3358,negated_conjecture,
~ ! [X0] :
( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
=> ! [X1] :
( cPLF_2eReferences_2eSTLCRef_2etm___24t(X1)
=> ! [X2] :
( cPLF_2eReferences_2eSTLCRef_2etm___24t(X2)
=> ! [X3] :
( cPLF_2eReferences_2eSTLCRef_2ety___24t(X3)
=> ! [X4] :
( cPLF_2eReferences_2eSTLCRef_2estore___24t(X4)
=> ! [X5] :
( cPLF_2eReferences_2eSTLCRef_2estore___24t(X5)
=> ( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X1,X3)
=> ( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,X4)
=> ( cPLF_2eReferences_2eSTLCRef_2estep___24a2(cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X1,X4),cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X2,X5))
=> ? [X6] :
( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X6)
& cPLF_2eReferences_2eSTLCRef_2eextends___24a2(X6,X0)
& cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X6,X2,X3)
& cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X6,X5) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3357]) ).
fof(f3362,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X6)
| ~ cPLF_2eReferences_2eSTLCRef_2eextends___24a2(X6,X0)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X6,X2,X3)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X6,X5) )
& cPLF_2eReferences_2eSTLCRef_2estep___24a2(cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X1,X4),cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X2,X5))
& cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,X4)
& cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X1,X3)
& cPLF_2eReferences_2eSTLCRef_2estore___24t(X5) )
& cPLF_2eReferences_2eSTLCRef_2estore___24t(X4) )
& cPLF_2eReferences_2eSTLCRef_2ety___24t(X3) )
& cPLF_2eReferences_2eSTLCRef_2etm___24t(X2) )
& cPLF_2eReferences_2eSTLCRef_2etm___24t(X1) )
& cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0) ),
inference(ennf_transformation,[],[f3358]) ).
fof(f3363,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X6)
| ~ cPLF_2eReferences_2eSTLCRef_2eextends___24a2(X6,X0)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X6,X2,X3)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X6,X5) )
& cPLF_2eReferences_2eSTLCRef_2estep___24a2(cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X1,X4),cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X2,X5))
& cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,X4)
& cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X1,X3)
& cPLF_2eReferences_2eSTLCRef_2estore___24t(X5) )
& cPLF_2eReferences_2eSTLCRef_2estore___24t(X4) )
& cPLF_2eReferences_2eSTLCRef_2ety___24t(X3) )
& cPLF_2eReferences_2eSTLCRef_2etm___24t(X2) )
& cPLF_2eReferences_2eSTLCRef_2etm___24t(X1) )
& cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0) ),
inference(flattening,[],[f3362]) ).
fof(f3364,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ? [X6] :
( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X6)
& cPLF_2eReferences_2eSTLCRef_2eextends___24a2(X6,X0)
& cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X6,X2,X3)
& cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X6,X5) )
| ~ cPLF_2eReferences_2eSTLCRef_2estep___24a2(cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X1,X4),cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X2,X5))
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,X4)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X1,X3)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X5) )
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X4) )
| ~ cPLF_2eReferences_2eSTLCRef_2ety___24t(X3) )
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X2) )
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X1) )
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0) ),
inference(ennf_transformation,[],[f2130]) ).
fof(f3365,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ? [X6] :
( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X6)
& cPLF_2eReferences_2eSTLCRef_2eextends___24a2(X6,X0)
& cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X6,X2,X3)
& cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X6,X5) )
| ~ cPLF_2eReferences_2eSTLCRef_2estep___24a2(cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X1,X4),cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X2,X5))
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,X4)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X1,X3)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X5) )
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X4) )
| ~ cPLF_2eReferences_2eSTLCRef_2ety___24t(X3) )
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X2) )
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X1) )
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0) ),
inference(flattening,[],[f3364]) ).
fof(f3381,plain,
( ! [X6] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X6)
| ~ cPLF_2eReferences_2eSTLCRef_2eextends___24a2(X6,sK1)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X6,sK3,sK4)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X6,sK6) )
& cPLF_2eReferences_2eSTLCRef_2estep___24a2(cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,sK2,sK5),cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,sK3,sK6))
& cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(sK1,sK5)
& cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK1,sK2,sK4)
& cPLF_2eReferences_2eSTLCRef_2estore___24t(sK6)
& cPLF_2eReferences_2eSTLCRef_2estore___24t(sK5)
& cPLF_2eReferences_2eSTLCRef_2ety___24t(sK4)
& cPLF_2eReferences_2eSTLCRef_2etm___24t(sK3)
& cPLF_2eReferences_2eSTLCRef_2etm___24t(sK2)
& cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5),skolemize(X5,sK6)],[f3363]) ).
fof(f3386,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(sK7(X0,X2,X3,X5))
& cPLF_2eReferences_2eSTLCRef_2eextends___24a2(sK7(X0,X2,X3,X5),X0)
& cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK7(X0,X2,X3,X5),X2,X3)
& cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(sK7(X0,X2,X3,X5),X5) )
| ~ cPLF_2eReferences_2eSTLCRef_2estep___24a2(cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X1,X4),cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X2,X5))
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,X4)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X1,X3)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X5) )
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X4) )
| ~ cPLF_2eReferences_2eSTLCRef_2ety___24t(X3) )
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X2) )
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X1) )
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X6,sK7(X0,X2,X3,X5))],[f3365]) ).
fof(f3395,plain,
cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(sK1),
inference(cnf_transformation,[],[f3381]) ).
fof(f3396,plain,
cPLF_2eReferences_2eSTLCRef_2etm___24t(sK2),
inference(cnf_transformation,[],[f3381]) ).
fof(f3397,plain,
cPLF_2eReferences_2eSTLCRef_2etm___24t(sK3),
inference(cnf_transformation,[],[f3381]) ).
fof(f3398,plain,
cPLF_2eReferences_2eSTLCRef_2ety___24t(sK4),
inference(cnf_transformation,[],[f3381]) ).
fof(f3399,plain,
cPLF_2eReferences_2eSTLCRef_2estore___24t(sK5),
inference(cnf_transformation,[],[f3381]) ).
fof(f3400,plain,
cPLF_2eReferences_2eSTLCRef_2estore___24t(sK6),
inference(cnf_transformation,[],[f3381]) ).
fof(f3401,plain,
cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK1,sK2,sK4),
inference(cnf_transformation,[],[f3381]) ).
fof(f3402,plain,
cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(sK1,sK5),
inference(cnf_transformation,[],[f3381]) ).
fof(f3403,plain,
cPLF_2eReferences_2eSTLCRef_2estep___24a2(cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,sK2,sK5),cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,sK3,sK6)),
inference(cnf_transformation,[],[f3381]) ).
fof(f3404,plain,
! [X6] :
( ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X6,sK3,sK4)
| ~ cPLF_2eReferences_2eSTLCRef_2eextends___24a2(X6,sK1)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X6)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X6,sK6) ),
inference(cnf_transformation,[],[f3381]) ).
fof(f3415,plain,
! [X2,X3,X0,X1,X4,X5] :
( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(sK7(X0,X2,X3,X5),X5)
| ~ cPLF_2eReferences_2eSTLCRef_2estep___24a2(cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X1,X4),cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X2,X5))
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,X4)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X1,X3)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X5)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X4)
| ~ cPLF_2eReferences_2eSTLCRef_2ety___24t(X3)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X2)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X1)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0) ),
inference(cnf_transformation,[],[f3386]) ).
fof(f3416,plain,
! [X2,X3,X0,X1,X4,X5] :
( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK7(X0,X2,X3,X5),X2,X3)
| ~ cPLF_2eReferences_2eSTLCRef_2estep___24a2(cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X1,X4),cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X2,X5))
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,X4)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X1,X3)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X5)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X4)
| ~ cPLF_2eReferences_2eSTLCRef_2ety___24t(X3)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X2)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X1)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0) ),
inference(cnf_transformation,[],[f3386]) ).
fof(f3417,plain,
! [X2,X3,X0,X1,X4,X5] :
( cPLF_2eReferences_2eSTLCRef_2eextends___24a2(sK7(X0,X2,X3,X5),X0)
| ~ cPLF_2eReferences_2eSTLCRef_2estep___24a2(cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X1,X4),cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X2,X5))
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,X4)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X1,X3)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X5)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X4)
| ~ cPLF_2eReferences_2eSTLCRef_2ety___24t(X3)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X2)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X1)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0) ),
inference(cnf_transformation,[],[f3386]) ).
fof(f3418,plain,
! [X2,X3,X0,X1,X4,X5] :
( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(sK7(X0,X2,X3,X5))
| ~ cPLF_2eReferences_2eSTLCRef_2estep___24a2(cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X1,X4),cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X2,X5))
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,X4)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X1,X3)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X5)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X4)
| ~ cPLF_2eReferences_2eSTLCRef_2ety___24t(X3)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X2)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X1)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0) ),
inference(cnf_transformation,[],[f3386]) ).
fof(f3449,plain,
! [X2,X3,X0,X1,X5] :
( ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X1,X3)
| cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(sK7(X0,X2,X3,X5))
| ~ cPLF_2eReferences_2eSTLCRef_2ety___24t(X3)
| sP13(X0,X5,X2,X1) ),
inference(cnf_transformation,[],[f3449_D]) ).
fof(f3449_D,definition,
! [X1,X2,X5,X0] :
( ! [X3] :
( ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X1,X3)
| cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(sK7(X0,X2,X3,X5))
| ~ cPLF_2eReferences_2eSTLCRef_2ety___24t(X3) )
<=> ~ sP13(X0,X5,X2,X1) ),
introduced(definition,[new_symbols(definition,[sP13])],[general_splitting_component_introduction]) ).
fof(f3450,plain,
! [X2,X0,X1,X4,X5] :
( ~ cPLF_2eReferences_2eSTLCRef_2estep___24a2(cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X1,X4),cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X2,X5))
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,X4)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X5)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X4)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X2)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X1)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ sP13(X0,X5,X2,X1) ),
inference(general_splitting,[],[f3418,f3449_D]) ).
fof(f3451,plain,
! [X2,X3,X0,X1,X5] :
( cPLF_2eReferences_2eSTLCRef_2eextends___24a2(sK7(X0,X2,X3,X5),X0)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X1,X3)
| ~ cPLF_2eReferences_2eSTLCRef_2ety___24t(X3)
| sP14(X0,X5,X2,X1) ),
inference(cnf_transformation,[],[f3451_D]) ).
fof(f3451_D,definition,
! [X1,X2,X5,X0] :
( ! [X3] :
( cPLF_2eReferences_2eSTLCRef_2eextends___24a2(sK7(X0,X2,X3,X5),X0)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X1,X3)
| ~ cPLF_2eReferences_2eSTLCRef_2ety___24t(X3) )
<=> ~ sP14(X0,X5,X2,X1) ),
introduced(definition,[new_symbols(definition,[sP14])],[general_splitting_component_introduction]) ).
fof(f3452,plain,
! [X2,X0,X1,X4,X5] :
( ~ cPLF_2eReferences_2eSTLCRef_2estep___24a2(cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X1,X4),cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X2,X5))
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,X4)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X5)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X4)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X2)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X1)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ sP14(X0,X5,X2,X1) ),
inference(general_splitting,[],[f3417,f3451_D]) ).
fof(f3453,plain,
! [X2,X3,X0,X1,X5] :
( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK7(X0,X2,X3,X5),X2,X3)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X1,X3)
| ~ cPLF_2eReferences_2eSTLCRef_2ety___24t(X3)
| sP15(X0,X5,X2,X1) ),
inference(cnf_transformation,[],[f3453_D]) ).
fof(f3453_D,definition,
! [X1,X2,X5,X0] :
( ! [X3] :
( cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK7(X0,X2,X3,X5),X2,X3)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X1,X3)
| ~ cPLF_2eReferences_2eSTLCRef_2ety___24t(X3) )
<=> ~ sP15(X0,X5,X2,X1) ),
introduced(definition,[new_symbols(definition,[sP15])],[general_splitting_component_introduction]) ).
fof(f3454,plain,
! [X2,X0,X1,X4,X5] :
( ~ cPLF_2eReferences_2eSTLCRef_2estep___24a2(cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X1,X4),cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X2,X5))
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,X4)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X5)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X4)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X2)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X1)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ sP15(X0,X5,X2,X1) ),
inference(general_splitting,[],[f3416,f3453_D]) ).
fof(f3455,plain,
! [X2,X3,X0,X1,X5] :
( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(sK7(X0,X2,X3,X5),X5)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X1,X3)
| ~ cPLF_2eReferences_2eSTLCRef_2ety___24t(X3)
| sP16(X0,X5,X2,X1) ),
inference(cnf_transformation,[],[f3455_D]) ).
fof(f3455_D,definition,
! [X1,X2,X5,X0] :
( ! [X3] :
( cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(sK7(X0,X2,X3,X5),X5)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X1,X3)
| ~ cPLF_2eReferences_2eSTLCRef_2ety___24t(X3) )
<=> ~ sP16(X0,X5,X2,X1) ),
introduced(definition,[new_symbols(definition,[sP16])],[general_splitting_component_introduction]) ).
fof(f3456,plain,
! [X2,X0,X1,X4,X5] :
( ~ cPLF_2eReferences_2eSTLCRef_2estep___24a2(cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X1,X4),cCoq_2eInit_2eDatatypes_2epair___24a4(cPLF_2eReferences_2eSTLCRef_2etm,cPLF_2eReferences_2eSTLCRef_2estore,X2,X5))
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,X4)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X5)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(X4)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X2)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(X1)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ sP16(X0,X5,X2,X1) ),
inference(general_splitting,[],[f3415,f3455_D]) ).
fof(f3465,plain,
! [X0,X1] :
( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(sK7(sK1,X0,sK4,X1))
| ~ cPLF_2eReferences_2eSTLCRef_2ety___24t(sK4)
| sP13(sK1,X1,X0,sK2) ),
inference(resolution,[],[f3401,f3449]) ).
fof(f3468,plain,
! [X0,X1] :
( cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(sK7(sK1,X0,sK4,X1))
| sP13(sK1,X1,X0,sK2) ),
inference(forward_subsumption_resolution,[],[f3465,f3398]) ).
fof(f3469,plain,
! [X0] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(sK6)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK3)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK2)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ sP13(X0,sK6,sK3,sK2) ),
inference(resolution,[],[f3403,f3450]) ).
fof(f3470,plain,
! [X0] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(sK6)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK3)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK2)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ sP14(X0,sK6,sK3,sK2) ),
inference(resolution,[],[f3403,f3452]) ).
fof(f3471,plain,
! [X0] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(sK6)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK3)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK2)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ sP15(X0,sK6,sK3,sK2) ),
inference(resolution,[],[f3403,f3454]) ).
fof(f3472,plain,
! [X0] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(sK6)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK3)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK2)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ sP16(X0,sK6,sK3,sK2) ),
inference(resolution,[],[f3403,f3456]) ).
fof(f3481,plain,
! [X0] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK3)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK2)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ sP16(X0,sK6,sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f3472,f3400]) ).
fof(f3482,plain,
! [X0] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK3)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK2)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ sP15(X0,sK6,sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f3471,f3400]) ).
fof(f3483,plain,
! [X0] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK3)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK2)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ sP14(X0,sK6,sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f3470,f3400]) ).
fof(f3484,plain,
! [X0] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2estore___24t(sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK3)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK2)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ sP13(X0,sK6,sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f3469,f3400]) ).
fof(f3489,plain,
! [X0] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK3)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK2)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ sP16(X0,sK6,sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f3481,f3399]) ).
fof(f3490,plain,
! [X0] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK3)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK2)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ sP15(X0,sK6,sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f3482,f3399]) ).
fof(f3491,plain,
! [X0] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK3)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK2)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ sP14(X0,sK6,sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f3483,f3399]) ).
fof(f3492,plain,
! [X0] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK3)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK2)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ sP13(X0,sK6,sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f3484,f3399]) ).
fof(f3497,plain,
! [X0] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK2)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ sP16(X0,sK6,sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f3489,f3397]) ).
fof(f3498,plain,
! [X0] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK2)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ sP15(X0,sK6,sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f3490,f3397]) ).
fof(f3499,plain,
! [X0] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK2)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ sP14(X0,sK6,sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f3491,f3397]) ).
fof(f3500,plain,
! [X0] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,sK5)
| ~ cPLF_2eReferences_2eSTLCRef_2etm___24t(sK2)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ sP13(X0,sK6,sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f3492,f3397]) ).
fof(f3505,plain,
! [X0] :
( ~ sP16(X0,sK6,sK3,sK2)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,sK5) ),
inference(forward_subsumption_resolution,[],[f3497,f3396]) ).
fof(f3506,plain,
! [X0] :
( ~ sP15(X0,sK6,sK3,sK2)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,sK5) ),
inference(forward_subsumption_resolution,[],[f3498,f3396]) ).
fof(f3507,plain,
! [X0] :
( ~ sP14(X0,sK6,sK3,sK2)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,sK5) ),
inference(forward_subsumption_resolution,[],[f3499,f3396]) ).
fof(f3508,plain,
! [X0] :
( ~ sP13(X0,sK6,sK3,sK2)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(X0)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(X0,sK5) ),
inference(forward_subsumption_resolution,[],[f3500,f3396]) ).
fof(f3510,plain,
! [X2,X0,X1] :
( ~ cPLF_2eReferences_2eSTLCRef_2eextends___24a2(sK7(X0,sK3,sK4,X1),sK1)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(sK7(X0,sK3,sK4,X1))
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(sK7(X0,sK3,sK4,X1),sK6)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X2,sK4)
| ~ cPLF_2eReferences_2eSTLCRef_2ety___24t(sK4)
| sP15(X0,X1,sK3,X2) ),
inference(resolution,[],[f3404,f3453]) ).
fof(f3511,plain,
! [X2,X0,X1] :
( ~ cPLF_2eReferences_2eSTLCRef_2eextends___24a2(sK7(X0,sK3,sK4,X1),sK1)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(sK7(X0,sK3,sK4,X1))
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(sK7(X0,sK3,sK4,X1),sK6)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),X0,X2,sK4)
| sP15(X0,X1,sK3,X2) ),
inference(forward_subsumption_resolution,[],[f3510,f3398]) ).
fof(f3513,plain,
! [X2,X0,X1] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(sK7(sK1,sK3,sK4,X0))
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(sK7(sK1,sK3,sK4,X0),sK6)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK1,X1,sK4)
| sP15(sK1,X0,sK3,X1)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK1,X2,sK4)
| ~ cPLF_2eReferences_2eSTLCRef_2ety___24t(sK4)
| sP14(sK1,X0,sK3,X2) ),
inference(resolution,[],[f3511,f3451]) ).
fof(f3514,plain,
! [X2,X0,X1] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(sK7(sK1,sK3,sK4,X0),sK6)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(sK7(sK1,sK3,sK4,X0))
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK1,X1,sK4)
| sP15(sK1,X0,sK3,X1)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK1,X2,sK4)
| sP14(sK1,X0,sK3,X2) ),
inference(forward_subsumption_resolution,[],[f3513,f3398]) ).
fof(f3517,plain,
! [X2,X0,X1] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(sK7(sK1,sK3,sK4,sK6))
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK1,X0,sK4)
| sP15(sK1,sK6,sK3,X0)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK1,X1,sK4)
| sP14(sK1,sK6,sK3,X1)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK1,X2,sK4)
| ~ cPLF_2eReferences_2eSTLCRef_2ety___24t(sK4)
| sP16(sK1,sK6,sK3,X2) ),
inference(resolution,[],[f3514,f3455]) ).
fof(f3518,plain,
! [X2,X0,X1] :
( ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(sK7(sK1,sK3,sK4,sK6))
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK1,X0,sK4)
| sP15(sK1,sK6,sK3,X0)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK1,X1,sK4)
| sP14(sK1,sK6,sK3,X1)
| ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK1,X2,sK4)
| sP16(sK1,sK6,sK3,X2) ),
inference(forward_subsumption_resolution,[],[f3517,f3398]) ).
fof(f3520,definition,
( spl21_1
<=> ! [X2] :
( ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK1,X2,sK4)
| sP16(sK1,sK6,sK3,X2) ) ),
introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).
fof(f3521,plain,
( ! [X2] :
( ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK1,X2,sK4)
| sP16(sK1,sK6,sK3,X2) )
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f3520]) ).
fof(f3523,definition,
( spl21_2
<=> ! [X1] :
( ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK1,X1,sK4)
| sP14(sK1,sK6,sK3,X1) ) ),
introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).
fof(f3524,plain,
( ! [X1] :
( ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK1,X1,sK4)
| sP14(sK1,sK6,sK3,X1) )
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f3523]) ).
fof(f3526,definition,
( spl21_3
<=> ! [X0] :
( ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK1,X0,sK4)
| sP15(sK1,sK6,sK3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_3])],[avatar_definition]) ).
fof(f3527,plain,
( ! [X0] :
( ~ cPLF_2eReferences_2eSTLCRef_2ehas__type___24a4(cPLF_2eMaps_2eempty___24a1(cPLF_2eReferences_2eSTLCRef_2ety),sK1,X0,sK4)
| sP15(sK1,sK6,sK3,X0) )
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f3526]) ).
fof(f3529,definition,
( spl21_4
<=> cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(sK7(sK1,sK3,sK4,sK6)) ),
introduced(definition,[new_symbols(definition,[spl21_4])],[avatar_definition]) ).
fof(f3531,plain,
( ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(sK7(sK1,sK3,sK4,sK6))
| spl21_4 ),
inference(avatar_component_clause,[],[f3529]) ).
fof(f3532,plain,
( spl21_1
| spl21_2
| spl21_3
| ~ spl21_4 ),
inference(avatar_split_clause,[],[f3518,f3529,f3526,f3523,f3520]) ).
fof(f3549,plain,
( sP13(sK1,sK6,sK3,sK2)
| spl21_4 ),
inference(resolution,[],[f3531,f3468]) ).
fof(f3551,plain,
( ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(sK1)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(sK1,sK5)
| spl21_4 ),
inference(resolution,[],[f3549,f3508]) ).
fof(f3552,plain,
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(sK1,sK5)
| spl21_4 ),
inference(forward_subsumption_resolution,[],[f3551,f3395]) ).
fof(f3553,plain,
( $false
| spl21_4 ),
inference(forward_subsumption_resolution,[],[f3552,f3402]) ).
fof(f3554,plain,
spl21_4,
inference(avatar_contradiction_clause,[],[f3553]) ).
fof(f3559,plain,
( sP14(sK1,sK6,sK3,sK2)
| ~ spl21_2 ),
inference(resolution,[],[f3524,f3401]) ).
fof(f3561,plain,
( ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(sK1)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(sK1,sK5)
| ~ spl21_2 ),
inference(resolution,[],[f3559,f3507]) ).
fof(f3562,plain,
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(sK1,sK5)
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f3561,f3395]) ).
fof(f3563,plain,
( $false
| ~ spl21_2 ),
inference(forward_subsumption_resolution,[],[f3562,f3402]) ).
fof(f3564,plain,
~ spl21_2,
inference(avatar_contradiction_clause,[],[f3563]) ).
fof(f3565,plain,
( sP15(sK1,sK6,sK3,sK2)
| ~ spl21_3 ),
inference(resolution,[],[f3527,f3401]) ).
fof(f3571,plain,
( ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(sK1)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(sK1,sK5)
| ~ spl21_3 ),
inference(resolution,[],[f3565,f3506]) ).
fof(f3572,plain,
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(sK1,sK5)
| ~ spl21_3 ),
inference(forward_subsumption_resolution,[],[f3571,f3395]) ).
fof(f3573,plain,
( $false
| ~ spl21_3 ),
inference(forward_subsumption_resolution,[],[f3572,f3402]) ).
fof(f3574,plain,
~ spl21_3,
inference(avatar_contradiction_clause,[],[f3573]) ).
fof(f3575,plain,
( sP16(sK1,sK6,sK3,sK2)
| ~ spl21_1 ),
inference(resolution,[],[f3521,f3401]) ).
fof(f3581,plain,
( ~ cPLF_2eReferences_2eSTLCRef_2estore__ty___24t(sK1)
| ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(sK1,sK5)
| ~ spl21_1 ),
inference(resolution,[],[f3575,f3505]) ).
fof(f3582,plain,
( ~ cPLF_2eReferences_2eSTLCRef_2estore__well__typed___24a2(sK1,sK5)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f3581,f3395]) ).
fof(f3583,plain,
( $false
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f3582,f3402]) ).
fof(f3584,plain,
~ spl21_1,
inference(avatar_contradiction_clause,[],[f3583]) ).
cnf(s1,plain,
( spl21_1
| spl21_2
| spl21_3
| ~ spl21_4 ),
inference(sat_conversion,[],[f3532]) ).
cnf(s3,plain,
spl21_4,
inference(sat_conversion,[],[f3554]) ).
cnf(s5,plain,
~ spl21_2,
inference(sat_conversion,[],[f3564]) ).
cnf(s7,plain,
~ spl21_3,
inference(sat_conversion,[],[f3574]) ).
cnf(s9,plain,
~ spl21_1,
inference(sat_conversion,[],[f3584]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s3,s7,s5,s9]) ).
fof(f3585,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV679+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n006.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 06:52:56 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.57/1.13 % (3780639)Detected formulas, will run a generic FOF schedule.
% 2.57/1.13 % (3780649)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1978179401:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.57/1.13 % (3780648)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=316358428:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.57/1.13 % (3780647)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=199552903:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.57/1.13 % (3780644)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=1347069870:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.57/1.13 % (3780650)dis-21_1_sil=8000:lcm=predicate:random_seed=2262164383:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.57/1.13 % (3780645)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=1099174132:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.57/1.13 % (3780646)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=706581680:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.57/1.13 % (3780647)First to succeed.
% 2.57/1.13 % (3780647)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3780639"
% 2.57/1.13 % (3780648)Also succeeded, but the first one will report.
% 2.57/1.13 % (3780649)Instruction limit reached!
% 2.57/1.13 % (3780649)------------------------------
% 2.57/1.13 % (3780649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.13 % (3780649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.13 % (3780649)CaDiCaL version: 2.1.3
% 2.57/1.13 % (3780649)Termination reason: Instruction limit
% 2.57/1.13 % (3780649)Termination phase: Naming
% 2.57/1.13 % (3780649)Time elapsed: 0.062 s
% 2.57/1.13 % (3780649)Peak memory usage: 93 MB
% 2.57/1.13 % (3780649)Instructions burned: 141 (million)
% 2.57/1.13 % (3780650)Instruction limit reached!
% 2.57/1.13 % (3780650)------------------------------
% 2.57/1.13 % (3780650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.13 % (3780650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.13 % (3780650)CaDiCaL version: 2.1.3
% 2.57/1.13 % (3780650)Termination reason: Instruction limit
% 2.57/1.13 % (3780650)Termination phase: Preprocessing 3
% 2.57/1.13 % (3780650)Time elapsed: 0.074 s
% 2.57/1.13 % (3780650)Peak memory usage: 95 MB
% 2.57/1.13 % (3780650)Instructions burned: 129 (million)
% 2.57/1.13 % (3780658)lrs+10_1_sil=8000:sp=occurrence:random_seed=833939331:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.57/1.13 % (3780659)lrs+10_1_sil=32000:urr=on:br=off:random_seed=31265953:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.57/1.13 % (3780659)Also succeeded, but the first one will report.
% 2.57/1.13 % (3780647)Refutation found. Thanks to Tanya!
% 2.57/1.13 % SZS status Theorem for theBenchmark
% 2.57/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 3.37/1.22 % (3780647)------------------------------
% 3.37/1.22 % (3780647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.22 % (3780647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.22 % (3780647)CaDiCaL version: 2.1.3
% 3.37/1.22 % (3780647)Termination reason: Refutation
% 3.37/1.22 % (3780647)Time elapsed: 0.026 s
% 3.37/1.22 % (3780647)Peak memory usage: 95 MB
% 3.37/1.22 % (3780647)Instructions burned: 50 (million)
% 3.37/1.22 % (3780647)------------------------------
% 3.37/1.22 % (3780647)------------------------------
% 3.37/1.22 % (3780639)Success in time 0.495 s
% 3.37/1.22 % Vampire exiting
%------------------------------------------------------------------------------