%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV671+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 : 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 : Tue Sep 29 12:58:32 PM UTC 2026
% Result : Theorem 30.72s 5.12s
% Output : Refutation 31.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 18
% Syntax : Number of formulae : 94 ( 30 unt; 0 def)
% Number of atoms : 281 ( 10 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 350 ( 163 ~; 129 |; 42 &)
% ( 9 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-3 aty)
% Number of variables : 112 ( 96 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f101,axiom,
cCoq_2eInit_2eNat_2esucc = cCoq_2eInit_2eDatatypes_2eS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_Coq.Init.Nat.succ') ).
fof(f106,axiom,
cCoq_2eInit_2eNat_2ezero = cCoq_2eInit_2eDatatypes_2eO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_Coq.Init.Nat.zero') ).
fof(f232,axiom,
! [X0,X1] :
( cSmallstep_2enormalizing___24a2(X0,X1)
<=> ! [X2] :
( t(X2,X0)
=> ? [X3] :
( t(X3,X0)
& cSmallstep_2emulti___24a4(X0,X1,X2,X3)
& cSmallstep_2enormal__form___24a3(X0,X1,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_Smallstep.normalizing') ).
fof(f539,axiom,
! [X0] :
( c_24__type__6___24t(X0)
<=> ! [X1] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X1)
=> cCoq_2eInit_2eDatatypes_2enat___24t(happ(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_type_6') ).
fof(f703,axiom,
! [X0] :
( c_24__type__925___24t(X0)
<=> ! [X1] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X1)
=> cSmallstep_2etm___24t(happ(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_type_925') ).
fof(f704,axiom,
! [X0] :
( c_24__type__928___24t(X0)
<=> ! [X1] :
( cSmallstep_2etm___24t(X1)
=> ! [X2] :
( cSmallstep_2etm___24t(X2)
=> cSmallstep_2etm___24t(happ(happ(X0,X1),X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_type_928') ).
fof(f750,axiom,
cCoq_2eInit_2eDatatypes_2enat___24t(cCoq_2eInit_2eDatatypes_2eO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_Coq.Init.Datatypes.O') ).
fof(f751,axiom,
c_24__type__6___24t(cCoq_2eInit_2eDatatypes_2eS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_Coq.Init.Datatypes.S') ).
fof(f807,axiom,
c_24__type__6___24t(cCoq_2eInit_2eNat_2esucc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_Coq.Init.Nat.succ') ).
fof(f1007,axiom,
c_24__type__925___24t(cSmallstep_2eC),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_Smallstep.C') ).
fof(f1016,axiom,
c_24__type__928___24t(cSmallstep_2eP),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_Smallstep.P') ).
fof(f1684,axiom,
! [X0] :
( cSmallstep_2etm___24t(X0)
=> ( cSmallstep_2enormal__form___24a3(cSmallstep_2etm,cSmallstep_2estep,X0)
=> cSmallstep_2evalue___24a1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Smallstep.nf_is_value') ).
fof(f1693,axiom,
cSmallstep_2enormalizing___24a2(cSmallstep_2etm,cSmallstep_2estep),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Smallstep.step_normalizing') ).
fof(f1895,axiom,
! [X0] : happ(cCoq_2eInit_2eDatatypes_2eS,X0) = cCoq_2eInit_2eDatatypes_2eS___24a1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$adef_Coq.Init.Datatypes.S_$a1') ).
fof(f2077,axiom,
! [X0,X1] : happ(happ(cSmallstep_2eP,X0),X1) = cSmallstep_2eP___24a2(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$adef_Smallstep.P_$a2') ).
fof(f2110,axiom,
! [X0] : happ(cSmallstep_2eC,X0) = cSmallstep_2eC___24a1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$adef_Smallstep.C_$a1') ).
fof(f2463,axiom,
! [X0] :
( cSmallstep_2etm___24t(X0)
<=> t(X0,cSmallstep_2etm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$tdef_Smallstep.tm') ).
fof(f2498,conjecture,
? [X0] :
( cSmallstep_2etm___24t(X0)
& cSmallstep_2emulti___24a4(cSmallstep_2etm,cSmallstep_2estep,cSmallstep_2eP___24a2(cSmallstep_2eC___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO)))),cSmallstep_2eP___24a2(cSmallstep_2eC___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))),cSmallstep_2eC___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO)))),X0)
& cSmallstep_2evalue___24a1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f2499,negated_conjecture,
~ ? [X0] :
( cSmallstep_2etm___24t(X0)
& cSmallstep_2emulti___24a4(cSmallstep_2etm,cSmallstep_2estep,cSmallstep_2eP___24a2(cSmallstep_2eC___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO)))),cSmallstep_2eP___24a2(cSmallstep_2eC___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))),cSmallstep_2eC___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO)))),X0)
& cSmallstep_2evalue___24a1(X0) ),
inference(negated_conjecture,[status(cth)],[f2498]) ).
fof(f2775,plain,
! [X0,X1] :
( cSmallstep_2enormalizing___24a2(X0,X1)
<=> ! [X2] :
( ? [X3] :
( t(X3,X0)
& cSmallstep_2emulti___24a4(X0,X1,X2,X3)
& cSmallstep_2enormal__form___24a3(X0,X1,X3) )
| ~ t(X2,X0) ) ),
inference(ennf_transformation,[],[f232]) ).
fof(f3076,plain,
! [X0] :
( c_24__type__6___24t(X0)
<=> ! [X1] :
( cCoq_2eInit_2eDatatypes_2enat___24t(happ(X0,X1))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1) ) ),
inference(ennf_transformation,[],[f539]) ).
fof(f3241,plain,
! [X0] :
( c_24__type__925___24t(X0)
<=> ! [X1] :
( cSmallstep_2etm___24t(happ(X0,X1))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1) ) ),
inference(ennf_transformation,[],[f703]) ).
fof(f3242,plain,
! [X0] :
( c_24__type__928___24t(X0)
<=> ! [X1] :
( ! [X2] :
( cSmallstep_2etm___24t(happ(happ(X0,X1),X2))
| ~ cSmallstep_2etm___24t(X2) )
| ~ cSmallstep_2etm___24t(X1) ) ),
inference(ennf_transformation,[],[f704]) ).
fof(f4154,plain,
! [X0] :
( cSmallstep_2evalue___24a1(X0)
| ~ cSmallstep_2enormal__form___24a3(cSmallstep_2etm,cSmallstep_2estep,X0)
| ~ cSmallstep_2etm___24t(X0) ),
inference(ennf_transformation,[],[f1684]) ).
fof(f4155,plain,
! [X0] :
( cSmallstep_2evalue___24a1(X0)
| ~ cSmallstep_2enormal__form___24a3(cSmallstep_2etm,cSmallstep_2estep,X0)
| ~ cSmallstep_2etm___24t(X0) ),
inference(flattening,[],[f4154]) ).
fof(f4178,plain,
! [X0] :
( ~ cSmallstep_2etm___24t(X0)
| ~ cSmallstep_2emulti___24a4(cSmallstep_2etm,cSmallstep_2estep,cSmallstep_2eP___24a2(cSmallstep_2eC___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO)))),cSmallstep_2eP___24a2(cSmallstep_2eC___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))),cSmallstep_2eC___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO)))),X0)
| ~ cSmallstep_2evalue___24a1(X0) ),
inference(ennf_transformation,[],[f2499]) ).
fof(f5580,plain,
! [X0,X1] :
( ( cSmallstep_2enormalizing___24a2(X0,X1)
| ? [X2] :
( ! [X3] :
( ~ t(X3,X0)
| ~ cSmallstep_2emulti___24a4(X0,X1,X2,X3)
| ~ cSmallstep_2enormal__form___24a3(X0,X1,X3) )
& t(X2,X0) ) )
& ( ! [X2] :
( ? [X3] :
( t(X3,X0)
& cSmallstep_2emulti___24a4(X0,X1,X2,X3)
& cSmallstep_2enormal__form___24a3(X0,X1,X3) )
| ~ t(X2,X0) )
| ~ cSmallstep_2enormalizing___24a2(X0,X1) ) ),
inference(nnf_transformation,[],[f2775]) ).
fof(f5581,plain,
! [X0,X1] :
( ( cSmallstep_2enormalizing___24a2(X0,X1)
| ? [X2] :
( ! [X3] :
( ~ t(X3,X0)
| ~ cSmallstep_2emulti___24a4(X0,X1,X2,X3)
| ~ cSmallstep_2enormal__form___24a3(X0,X1,X3) )
& t(X2,X0) ) )
& ( ! [X4] :
( ? [X5] :
( t(X5,X0)
& cSmallstep_2emulti___24a4(X0,X1,X4,X5)
& cSmallstep_2enormal__form___24a3(X0,X1,X5) )
| ~ t(X4,X0) )
| ~ cSmallstep_2enormalizing___24a2(X0,X1) ) ),
inference(rectify,[],[f5580]) ).
fof(f5582,plain,
! [X0,X1] :
( ( cSmallstep_2enormalizing___24a2(X0,X1)
| ( ! [X3] :
( ~ t(X3,X0)
| ~ cSmallstep_2emulti___24a4(X0,X1,sK856(X0,X1),X3)
| ~ cSmallstep_2enormal__form___24a3(X0,X1,X3) )
& t(sK856(X0,X1),X0) ) )
& ( ! [X4] :
( ( t(sK857(X0,X1,X4),X0)
& cSmallstep_2emulti___24a4(X0,X1,X4,sK857(X0,X1,X4))
& cSmallstep_2enormal__form___24a3(X0,X1,sK857(X0,X1,X4)) )
| ~ t(X4,X0) )
| ~ cSmallstep_2enormalizing___24a2(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK856,sK857]),skolemize(X2,sK856(X0,X1)),skolemize(X5,sK857(X0,X1,X4))],[f5581]) ).
fof(f6195,plain,
! [X0] :
( ( c_24__type__6___24t(X0)
| ? [X1] :
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(X0,X1))
& cCoq_2eInit_2eDatatypes_2enat___24t(X1) ) )
& ( ! [X1] :
( cCoq_2eInit_2eDatatypes_2enat___24t(happ(X0,X1))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1) )
| ~ c_24__type__6___24t(X0) ) ),
inference(nnf_transformation,[],[f3076]) ).
fof(f6196,plain,
! [X0] :
( ( c_24__type__6___24t(X0)
| ? [X1] :
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(X0,X1))
& cCoq_2eInit_2eDatatypes_2enat___24t(X1) ) )
& ( ! [X2] :
( cCoq_2eInit_2eDatatypes_2enat___24t(happ(X0,X2))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2) )
| ~ c_24__type__6___24t(X0) ) ),
inference(rectify,[],[f6195]) ).
fof(f6197,plain,
! [X0] :
( ( c_24__type__6___24t(X0)
| ( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(X0,sK1378(X0)))
& cCoq_2eInit_2eDatatypes_2enat___24t(sK1378(X0)) ) )
& ( ! [X2] :
( cCoq_2eInit_2eDatatypes_2enat___24t(happ(X0,X2))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2) )
| ~ c_24__type__6___24t(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1378]),skolemize(X1,sK1378(X0))],[f6196]) ).
fof(f6687,plain,
! [X0] :
( ( c_24__type__925___24t(X0)
| ? [X1] :
( ~ cSmallstep_2etm___24t(happ(X0,X1))
& cCoq_2eInit_2eDatatypes_2enat___24t(X1) ) )
& ( ! [X1] :
( cSmallstep_2etm___24t(happ(X0,X1))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1) )
| ~ c_24__type__925___24t(X0) ) ),
inference(nnf_transformation,[],[f3241]) ).
fof(f6688,plain,
! [X0] :
( ( c_24__type__925___24t(X0)
| ? [X1] :
( ~ cSmallstep_2etm___24t(happ(X0,X1))
& cCoq_2eInit_2eDatatypes_2enat___24t(X1) ) )
& ( ! [X2] :
( cSmallstep_2etm___24t(happ(X0,X2))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2) )
| ~ c_24__type__925___24t(X0) ) ),
inference(rectify,[],[f6687]) ).
fof(f6689,plain,
! [X0] :
( ( c_24__type__925___24t(X0)
| ( ~ cSmallstep_2etm___24t(happ(X0,sK1747(X0)))
& cCoq_2eInit_2eDatatypes_2enat___24t(sK1747(X0)) ) )
& ( ! [X2] :
( cSmallstep_2etm___24t(happ(X0,X2))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2) )
| ~ c_24__type__925___24t(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1747]),skolemize(X1,sK1747(X0))],[f6688]) ).
fof(f6690,plain,
! [X0] :
( ( c_24__type__928___24t(X0)
| ? [X1] :
( ? [X2] :
( ~ cSmallstep_2etm___24t(happ(happ(X0,X1),X2))
& cSmallstep_2etm___24t(X2) )
& cSmallstep_2etm___24t(X1) ) )
& ( ! [X1] :
( ! [X2] :
( cSmallstep_2etm___24t(happ(happ(X0,X1),X2))
| ~ cSmallstep_2etm___24t(X2) )
| ~ cSmallstep_2etm___24t(X1) )
| ~ c_24__type__928___24t(X0) ) ),
inference(nnf_transformation,[],[f3242]) ).
fof(f6691,plain,
! [X0] :
( ( c_24__type__928___24t(X0)
| ? [X1] :
( ? [X2] :
( ~ cSmallstep_2etm___24t(happ(happ(X0,X1),X2))
& cSmallstep_2etm___24t(X2) )
& cSmallstep_2etm___24t(X1) ) )
& ( ! [X3] :
( ! [X4] :
( cSmallstep_2etm___24t(happ(happ(X0,X3),X4))
| ~ cSmallstep_2etm___24t(X4) )
| ~ cSmallstep_2etm___24t(X3) )
| ~ c_24__type__928___24t(X0) ) ),
inference(rectify,[],[f6690]) ).
fof(f6692,plain,
! [X0] :
( ( c_24__type__928___24t(X0)
| ( ~ cSmallstep_2etm___24t(happ(happ(X0,sK1748(X0)),sK1749(X0)))
& cSmallstep_2etm___24t(sK1749(X0))
& cSmallstep_2etm___24t(sK1748(X0)) ) )
& ( ! [X3] :
( ! [X4] :
( cSmallstep_2etm___24t(happ(happ(X0,X3),X4))
| ~ cSmallstep_2etm___24t(X4) )
| ~ cSmallstep_2etm___24t(X3) )
| ~ c_24__type__928___24t(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1748,sK1749]),skolemize(X1,sK1748(X0)),skolemize(X2,sK1749(X0))],[f6691]) ).
fof(f7273,plain,
! [X0] :
( ( cSmallstep_2etm___24t(X0)
| ~ t(X0,cSmallstep_2etm) )
& ( t(X0,cSmallstep_2etm)
| ~ cSmallstep_2etm___24t(X0) ) ),
inference(nnf_transformation,[],[f2463]) ).
fof(f7894,plain,
cCoq_2eInit_2eNat_2esucc = cCoq_2eInit_2eDatatypes_2eS,
inference(cnf_transformation,[],[f101]) ).
fof(f7909,plain,
cCoq_2eInit_2eDatatypes_2eO = cCoq_2eInit_2eNat_2ezero,
inference(cnf_transformation,[],[f106]) ).
fof(f9271,plain,
! [X0,X1,X4] :
( cSmallstep_2enormal__form___24a3(X0,X1,sK857(X0,X1,X4))
| ~ t(X4,X0)
| ~ cSmallstep_2enormalizing___24a2(X0,X1) ),
inference(cnf_transformation,[],[f5582]) ).
fof(f9272,plain,
! [X0,X1,X4] :
( cSmallstep_2emulti___24a4(X0,X1,X4,sK857(X0,X1,X4))
| ~ t(X4,X0)
| ~ cSmallstep_2enormalizing___24a2(X0,X1) ),
inference(cnf_transformation,[],[f5582]) ).
fof(f9273,plain,
! [X0,X1,X4] :
( t(sK857(X0,X1,X4),X0)
| ~ t(X4,X0)
| ~ cSmallstep_2enormalizing___24a2(X0,X1) ),
inference(cnf_transformation,[],[f5582]) ).
fof(f10647,plain,
! [X2,X0] :
( cCoq_2eInit_2eDatatypes_2enat___24t(happ(X0,X2))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2)
| ~ c_24__type__6___24t(X0) ),
inference(cnf_transformation,[],[f6197]) ).
fof(f11345,plain,
! [X2,X0] :
( cSmallstep_2etm___24t(happ(X0,X2))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2)
| ~ c_24__type__925___24t(X0) ),
inference(cnf_transformation,[],[f6689]) ).
fof(f11348,plain,
! [X3,X0,X4] :
( cSmallstep_2etm___24t(happ(happ(X0,X3),X4))
| ~ cSmallstep_2etm___24t(X4)
| ~ cSmallstep_2etm___24t(X3)
| ~ c_24__type__928___24t(X0) ),
inference(cnf_transformation,[],[f6692]) ).
fof(f11409,plain,
cCoq_2eInit_2eDatatypes_2enat___24t(cCoq_2eInit_2eDatatypes_2eO),
inference(cnf_transformation,[],[f750]) ).
fof(f11410,plain,
c_24__type__6___24t(cCoq_2eInit_2eDatatypes_2eS),
inference(cnf_transformation,[],[f751]) ).
fof(f11466,plain,
c_24__type__6___24t(cCoq_2eInit_2eNat_2esucc),
inference(cnf_transformation,[],[f807]) ).
fof(f11666,plain,
c_24__type__925___24t(cSmallstep_2eC),
inference(cnf_transformation,[],[f1007]) ).
fof(f11675,plain,
c_24__type__928___24t(cSmallstep_2eP),
inference(cnf_transformation,[],[f1016]) ).
fof(f12650,plain,
! [X0] :
( cSmallstep_2evalue___24a1(X0)
| ~ cSmallstep_2enormal__form___24a3(cSmallstep_2etm,cSmallstep_2estep,X0)
| ~ cSmallstep_2etm___24t(X0) ),
inference(cnf_transformation,[],[f4155]) ).
fof(f12676,plain,
cSmallstep_2enormalizing___24a2(cSmallstep_2etm,cSmallstep_2estep),
inference(cnf_transformation,[],[f1693]) ).
fof(f12907,plain,
! [X0] : cCoq_2eInit_2eDatatypes_2eS___24a1(X0) = happ(cCoq_2eInit_2eDatatypes_2eS,X0),
inference(cnf_transformation,[],[f1895]) ).
fof(f13120,plain,
! [X0,X1] : cSmallstep_2eP___24a2(X0,X1) = happ(happ(cSmallstep_2eP,X0),X1),
inference(cnf_transformation,[],[f2077]) ).
fof(f13159,plain,
! [X0] : cSmallstep_2eC___24a1(X0) = happ(cSmallstep_2eC,X0),
inference(cnf_transformation,[],[f2110]) ).
fof(f13782,plain,
! [X0] :
( t(X0,cSmallstep_2etm)
| ~ cSmallstep_2etm___24t(X0) ),
inference(cnf_transformation,[],[f7273]) ).
fof(f13783,plain,
! [X0] :
( cSmallstep_2etm___24t(X0)
| ~ t(X0,cSmallstep_2etm) ),
inference(cnf_transformation,[],[f7273]) ).
fof(f13852,plain,
! [X0] :
( ~ cSmallstep_2etm___24t(X0)
| ~ cSmallstep_2emulti___24a4(cSmallstep_2etm,cSmallstep_2estep,cSmallstep_2eP___24a2(cSmallstep_2eC___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO)))),cSmallstep_2eP___24a2(cSmallstep_2eC___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO))),cSmallstep_2eC___24a1(cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eDatatypes_2eO)))),X0)
| ~ cSmallstep_2evalue___24a1(X0) ),
inference(cnf_transformation,[],[f4178]) ).
fof(f15825,plain,
cCoq_2eInit_2eDatatypes_2enat___24t(cCoq_2eInit_2eNat_2ezero),
inference(definition_unfolding,[],[f11409,f7909]) ).
fof(f15826,plain,
c_24__type__6___24t(cCoq_2eInit_2eDatatypes_2eS),
inference(definition_unfolding,[],[f11466,f7894]) ).
fof(f16745,plain,
! [X0] :
( ~ cSmallstep_2evalue___24a1(X0)
| ~ cSmallstep_2emulti___24a4(cSmallstep_2etm,cSmallstep_2estep,happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))),happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),X0)
| ~ cSmallstep_2etm___24t(X0) ),
inference(definition_unfolding,[],[f13852,f13120,f13159,f12907,f12907,f12907,f7909,f13120,f13159,f12907,f12907,f7909,f13159,f12907,f7909]) ).
fof(f16888,plain,
! [X0] :
( ~ cSmallstep_2emulti___24a4(cSmallstep_2etm,cSmallstep_2estep,happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))),happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),X0)
| ~ cSmallstep_2etm___24t(X0)
| ~ cSmallstep_2enormal__form___24a3(cSmallstep_2etm,cSmallstep_2estep,X0)
| ~ cSmallstep_2etm___24t(X0) ),
inference(resolution,[],[f16745,f12650]) ).
fof(f16892,plain,
! [X0] :
( ~ cSmallstep_2enormal__form___24a3(cSmallstep_2etm,cSmallstep_2estep,X0)
| ~ cSmallstep_2etm___24t(X0)
| ~ cSmallstep_2emulti___24a4(cSmallstep_2etm,cSmallstep_2estep,happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))),happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),X0) ),
inference(duplicate_literal_removal,[],[f16888]) ).
fof(f16952,plain,
! [X0] :
( ~ cSmallstep_2etm___24t(sK857(cSmallstep_2etm,cSmallstep_2estep,X0))
| ~ cSmallstep_2emulti___24a4(cSmallstep_2etm,cSmallstep_2estep,happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))),happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),sK857(cSmallstep_2etm,cSmallstep_2estep,X0))
| ~ t(X0,cSmallstep_2etm)
| ~ cSmallstep_2enormalizing___24a2(cSmallstep_2etm,cSmallstep_2estep) ),
inference(resolution,[],[f16892,f9271]) ).
fof(f16955,plain,
! [X0] :
( ~ cSmallstep_2etm___24t(sK857(cSmallstep_2etm,cSmallstep_2estep,X0))
| ~ cSmallstep_2emulti___24a4(cSmallstep_2etm,cSmallstep_2estep,happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))),happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),sK857(cSmallstep_2etm,cSmallstep_2estep,X0))
| ~ t(X0,cSmallstep_2etm) ),
inference(forward_subsumption_resolution,[],[f16952,f12676]) ).
fof(f18681,plain,
! [X0] :
( ~ t(sK857(cSmallstep_2etm,cSmallstep_2estep,X0),cSmallstep_2etm)
| ~ t(X0,cSmallstep_2etm)
| ~ cSmallstep_2emulti___24a4(cSmallstep_2etm,cSmallstep_2estep,happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))),happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),sK857(cSmallstep_2etm,cSmallstep_2estep,X0)) ),
inference(resolution,[],[f16955,f13783]) ).
fof(f27230,plain,
! [X0] :
( ~ t(X0,cSmallstep_2etm)
| ~ cSmallstep_2emulti___24a4(cSmallstep_2etm,cSmallstep_2estep,happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))),happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),sK857(cSmallstep_2etm,cSmallstep_2estep,X0))
| ~ t(X0,cSmallstep_2etm)
| ~ cSmallstep_2enormalizing___24a2(cSmallstep_2etm,cSmallstep_2estep) ),
inference(resolution,[],[f18681,f9273]) ).
fof(f27231,plain,
! [X0] :
( ~ t(X0,cSmallstep_2etm)
| ~ cSmallstep_2emulti___24a4(cSmallstep_2etm,cSmallstep_2estep,happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))),happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),sK857(cSmallstep_2etm,cSmallstep_2estep,X0))
| ~ cSmallstep_2enormalizing___24a2(cSmallstep_2etm,cSmallstep_2estep) ),
inference(duplicate_literal_removal,[],[f27230]) ).
fof(f27232,plain,
! [X0] :
( ~ cSmallstep_2emulti___24a4(cSmallstep_2etm,cSmallstep_2estep,happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))),happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),sK857(cSmallstep_2etm,cSmallstep_2estep,X0))
| ~ t(X0,cSmallstep_2etm) ),
inference(forward_subsumption_resolution,[],[f27231,f12676]) ).
fof(f27234,plain,
( ~ t(happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))),happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),cSmallstep_2etm)
| ~ t(happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))),happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),cSmallstep_2etm)
| ~ cSmallstep_2enormalizing___24a2(cSmallstep_2etm,cSmallstep_2estep) ),
inference(resolution,[],[f27232,f9272]) ).
fof(f27239,plain,
( ~ t(happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))),happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),cSmallstep_2etm)
| ~ cSmallstep_2enormalizing___24a2(cSmallstep_2etm,cSmallstep_2estep) ),
inference(duplicate_literal_removal,[],[f27234]) ).
fof(f27243,plain,
~ t(happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))),happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),cSmallstep_2etm),
inference(forward_subsumption_resolution,[],[f27239,f12676]) ).
fof(f27244,plain,
~ cSmallstep_2etm___24t(happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))),happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))),
inference(resolution,[],[f27243,f13782]) ).
fof(f27270,plain,
( ~ cSmallstep_2etm___24t(happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))
| ~ cSmallstep_2etm___24t(happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))))
| ~ c_24__type__928___24t(cSmallstep_2eP) ),
inference(resolution,[],[f27244,f11348]) ).
fof(f27273,plain,
( ~ cSmallstep_2etm___24t(happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))))
| ~ cSmallstep_2etm___24t(happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))) ),
inference(forward_subsumption_resolution,[],[f27270,f11675]) ).
fof(f27274,plain,
( ~ cSmallstep_2etm___24t(happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))
| ~ c_24__type__925___24t(cSmallstep_2eC) ),
inference(resolution,[],[f27273,f11345]) ).
fof(f27276,plain,
( ~ cSmallstep_2etm___24t(happ(happ(cSmallstep_2eP,happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))),happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))) ),
inference(forward_subsumption_resolution,[],[f27274,f11666]) ).
fof(f27277,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))
| ~ cSmallstep_2etm___24t(happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))
| ~ cSmallstep_2etm___24t(happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))
| ~ c_24__type__928___24t(cSmallstep_2eP) ),
inference(resolution,[],[f27276,f11348]) ).
fof(f27280,plain,
( ~ cSmallstep_2etm___24t(happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))
| ~ cSmallstep_2etm___24t(happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))) ),
inference(forward_subsumption_resolution,[],[f27277,f11675]) ).
fof(f27369,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))
| ~ cSmallstep_2etm___24t(happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))
| ~ c_24__type__925___24t(cSmallstep_2eC) ),
inference(resolution,[],[f27280,f11345]) ).
fof(f27371,plain,
( ~ cSmallstep_2etm___24t(happ(cSmallstep_2eC,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)) ),
inference(forward_subsumption_resolution,[],[f27369,f11666]) ).
fof(f27372,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))
| ~ c_24__type__925___24t(cSmallstep_2eC) ),
inference(resolution,[],[f27371,f11345]) ).
fof(f27374,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))) ),
inference(forward_subsumption_resolution,[],[f27372,f11666]) ).
fof(f27379,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(cCoq_2eInit_2eNat_2ezero)
| ~ c_24__type__6___24t(cCoq_2eInit_2eDatatypes_2eS) ),
inference(resolution,[],[f27374,f10647]) ).
fof(f27391,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(cCoq_2eInit_2eNat_2ezero)
| ~ c_24__type__6___24t(cCoq_2eInit_2eDatatypes_2eS) ),
inference(forward_subsumption_resolution,[],[f27379,f10647]) ).
fof(f27392,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)))
| ~ c_24__type__6___24t(cCoq_2eInit_2eDatatypes_2eS) ),
inference(forward_subsumption_resolution,[],[f27391,f15825]) ).
fof(f27393,plain,
~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))),
inference(forward_subsumption_resolution,[],[f27392,f11410]) ).
fof(f27398,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero))
| ~ c_24__type__6___24t(cCoq_2eInit_2eDatatypes_2eS) ),
inference(resolution,[],[f27393,f10647]) ).
fof(f27410,plain,
~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(cCoq_2eInit_2eDatatypes_2eS,cCoq_2eInit_2eNat_2ezero)),
inference(forward_subsumption_resolution,[],[f27398,f11410]) ).
fof(f27415,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(cCoq_2eInit_2eNat_2ezero)
| ~ c_24__type__6___24t(cCoq_2eInit_2eDatatypes_2eS) ),
inference(resolution,[],[f27410,f10647]) ).
fof(f27427,plain,
~ c_24__type__6___24t(cCoq_2eInit_2eDatatypes_2eS),
inference(forward_subsumption_resolution,[],[f27415,f15825]) ).
fof(f27428,plain,
$false,
inference(forward_subsumption_resolution,[],[f27427,f15826]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV671+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n004.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 06:51:22 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 12.91/2.62 % (158834)Detected formulas, will run a generic FOF schedule.
% 12.91/2.62 % (158844)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3226499901:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.91/2.62 % (158845)dis-21_1_sil=8000:lcm=predicate:random_seed=599027543:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 12.91/2.62 % (158843)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=863160775:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.91/2.62 % (158842)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3329682817:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.91/2.62 % (158841)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=3275627546:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.91/2.62 % (158839)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=388813804:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.91/2.62 % (158840)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=2644411968:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.91/2.62 % (158842)Refutation not found, incomplete strategy
% 12.91/2.62 % (158842)------------------------------
% 12.91/2.62 % (158842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.91/2.62 % (158842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.91/2.62 % (158842)CaDiCaL version: 2.1.3
% 12.91/2.62 % (158842)Termination reason: Refutation not found, incomplete strategy
% 12.91/2.62 % (158842)Time elapsed: 0.018 s
% 12.91/2.62 % (158842)Peak memory usage: 92 MB
% 12.91/2.62 % (158842)Instructions burned: 38 (million)
% 12.91/2.62 % (158844)Instruction limit reached!
% 12.91/2.62 % (158844)------------------------------
% 12.91/2.62 % (158844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.91/2.62 % (158844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.91/2.62 % (158844)CaDiCaL version: 2.1.3
% 12.91/2.62 % (158844)Termination reason: Instruction limit
% 12.91/2.62 % (158844)Termination phase: Naming
% 12.91/2.62 % (158844)Time elapsed: 0.031 s
% 12.91/2.62 % (158844)Peak memory usage: 89 MB
% 12.91/2.62 % (158844)Instructions burned: 139 (million)
% 12.91/2.62 % (158845)Instruction limit reached!
% 12.91/2.62 % (158845)------------------------------
% 12.91/2.62 % (158845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.91/2.62 % (158845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.91/2.62 % (158845)CaDiCaL version: 2.1.3
% 12.91/2.62 % (158845)Termination reason: Instruction limit
% 12.91/2.62 % (158845)Termination phase: Preprocessing 3
% 12.91/2.62 % (158845)Time elapsed: 0.064 s
% 12.91/2.62 % (158845)Peak memory usage: 92 MB
% 12.91/2.62 % (158845)Instructions burned: 129 (million)
% 12.91/2.62 % (158843)Instruction limit reached!
% 12.91/2.62 % (158843)------------------------------
% 12.91/2.62 % (158843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.91/2.62 % (158843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.91/2.62 % (158843)CaDiCaL version: 2.1.3
% 12.91/2.62 % (158843)Termination reason: Instruction limit
% 12.91/2.62 % (158843)Termination phase: Saturation
% 12.91/2.62 % (158843)Time elapsed: 0.065 s
% 12.91/2.62 % (158843)Peak memory usage: 91 MB
% 12.91/2.62 % (158843)Instructions burned: 121 (million)
% 12.91/2.62 % (158853)lrs+10_1_sil=8000:sp=occurrence:random_seed=2751180662:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.91/2.62 % (158855)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3778683374:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.91/2.62 % (158854)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3469193126:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.91/2.62 % (158853)Instruction limit reached!
% 12.91/2.62 % (158853)------------------------------
% 12.91/2.62 % (158853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.91/2.62 % (158853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.91/2.62 % (158853)CaDiCaL version: 2.1.3
% 19.38/3.55 % (158853)Termination reason: Instruction limit
% 19.38/3.55 % (158853)Termination phase: Saturation
% 19.38/3.55 % (158853)Time elapsed: 0.087 s
% 19.38/3.55 % (158853)Peak memory usage: 95 MB
% 19.38/3.55 % (158853)Instructions burned: 286 (million)
% 19.38/3.55 % (158842)------------------------------
% 19.38/3.55 % (158842)------------------------------
% 19.38/3.55 % (158854)Instruction limit reached!
% 19.38/3.55 % (158854)------------------------------
% 19.38/3.55 % (158854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/3.55 % (158854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/3.55 % (158854)CaDiCaL version: 2.1.3
% 19.38/3.55 % (158854)Termination reason: Instruction limit
% 19.38/3.55 % (158854)Termination phase: Saturation
% 19.38/3.55 % (158854)Time elapsed: 0.071 s
% 19.38/3.55 % (158854)Peak memory usage: 92 MB
% 19.38/3.55 % (158854)Instructions burned: 157 (million)
% 19.38/3.55 % (158859)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=1100656057:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 19.38/3.55 % (158855)Instruction limit reached!
% 19.38/3.55 % (158855)------------------------------
% 19.38/3.55 % (158855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/3.55 % (158855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/3.55 % (158855)CaDiCaL version: 2.1.3
% 19.38/3.55 % (158855)Termination reason: Instruction limit
% 19.38/3.55 % (158855)Termination phase: Saturation
% 19.38/3.55 % (158855)Time elapsed: 0.182 s
% 19.38/3.55 % (158855)Peak memory usage: 94 MB
% 19.38/3.55 % (158855)Instructions burned: 325 (million)
% 19.38/3.55 % (158859)Instruction limit reached!
% 19.38/3.55 % (158859)------------------------------
% 19.38/3.55 % (158859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/3.55 % (158859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/3.55 % (158859)CaDiCaL version: 2.1.3
% 19.38/3.55 % (158859)Termination reason: Instruction limit
% 19.38/3.55 % (158859)Termination phase: Property scanning
% 19.38/3.55 % (158859)Time elapsed: 0.064 s
% 19.38/3.55 % (158859)Peak memory usage: 94 MB
% 19.38/3.55 % (158859)Instructions burned: 252 (million)
% 19.38/3.55 % (158860)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1834636330:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 19.38/3.55 % (158861)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=754187450:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 19.38/3.55 % (158860)Refutation not found, incomplete strategy
% 19.38/3.55 % (158860)------------------------------
% 19.38/3.55 % (158860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/3.55 % (158860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/3.55 % (158860)CaDiCaL version: 2.1.3
% 19.38/3.55 % (158860)Termination reason: Refutation not found, incomplete strategy
% 19.38/3.55 % (158860)Time elapsed: 0.040 s
% 19.38/3.55 % (158860)Peak memory usage: 92 MB
% 19.38/3.55 % (158860)Instructions burned: 82 (million)
% 19.38/3.55 % (158863)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1636050851:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 19.38/3.55 % (158864)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2690468798:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 19.38/3.55 % (158863)Instruction limit reached!
% 19.38/3.55 % (158863)------------------------------
% 19.38/3.55 % (158863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/3.55 % (158863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/3.55 % (158863)CaDiCaL version: 2.1.3
% 19.38/3.55 % (158863)Termination reason: Instruction limit
% 19.38/3.55 % (158863)Termination phase: Preprocessing 3
% 19.38/3.55 % (158863)Time elapsed: 0.055 s
% 19.38/3.55 % (158863)Peak memory usage: 91 MB
% 19.38/3.55 % (158863)Instructions burned: 114 (million)
% 19.38/3.55 % (158864)Instruction limit reached!
% 19.38/3.55 % (158864)------------------------------
% 19.38/3.55 % (158864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.38/3.55 % (158864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.38/3.55 % (158864)CaDiCaL version: 2.1.3
% 19.38/3.55 % (158864)Termination reason: Instruction limit
% 19.38/3.55 % (158864)Termination phase: Clausification
% 30.72/5.12 % (158864)Time elapsed: 0.047 s
% 30.72/5.12 % (158864)Peak memory usage: 94 MB
% 30.72/5.12 % (158864)Instructions burned: 128 (million)
% 30.72/5.12 % (158860)------------------------------
% 30.72/5.12 % (158860)------------------------------
% 30.72/5.12 % (158869)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1338138463:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 30.72/5.12 % (158870)lrs+10_1_sil=8000:sp=occurrence:random_seed=987226545:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 30.72/5.12 % (158869)Instruction limit reached!
% 30.72/5.12 % (158869)------------------------------
% 30.72/5.12 % (158869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/5.12 % (158869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/5.12 % (158869)CaDiCaL version: 2.1.3
% 30.72/5.12 % (158869)Termination reason: Instruction limit
% 30.72/5.12 % (158869)Termination phase: Property scanning
% 30.72/5.12 % (158869)Time elapsed: 0.042 s
% 30.72/5.12 % (158869)Peak memory usage: 87 MB
% 30.72/5.12 % (158869)Instructions burned: 116 (million)
% 30.72/5.12 % (158871)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1854385274:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 30.72/5.12 % (158874)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=199918040:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 30.72/5.12 % (158870)Instruction limit reached!
% 30.72/5.12 % (158870)------------------------------
% 30.72/5.12 % (158870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/5.12 % (158870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/5.12 % (158870)CaDiCaL version: 2.1.3
% 30.72/5.12 % (158870)Termination reason: Instruction limit
% 30.72/5.12 % (158870)Termination phase: Saturation
% 30.72/5.12 % (158870)Time elapsed: 0.280 s
% 30.72/5.12 % (158870)Peak memory usage: 101 MB
% 30.72/5.12 % (158870)Instructions burned: 907 (million)
% 30.72/5.12 % (158871)Instruction limit reached!
% 30.72/5.12 % (158871)------------------------------
% 30.72/5.12 % (158871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/5.12 % (158871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/5.12 % (158871)CaDiCaL version: 2.1.3
% 30.72/5.12 % (158871)Termination reason: Instruction limit
% 30.72/5.12 % (158871)Termination phase: Saturation
% 30.72/5.12 % (158871)Time elapsed: 0.187 s
% 30.72/5.12 % (158871)Peak memory usage: 97 MB
% 30.72/5.12 % (158871)Instructions burned: 437 (million)
% 30.72/5.12 % (158877)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=103046411:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 30.72/5.12 % (158877)Instruction limit reached!
% 30.72/5.12 % (158877)------------------------------
% 30.72/5.12 % (158877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/5.12 % (158877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/5.12 % (158877)CaDiCaL version: 2.1.3
% 30.72/5.12 % (158877)Termination reason: Instruction limit
% 30.72/5.12 % (158877)Termination phase: NewCNF
% 30.72/5.12 % (158877)Time elapsed: 0.041 s
% 30.72/5.12 % (158877)Peak memory usage: 93 MB
% 30.72/5.12 % (158877)Instructions burned: 135 (million)
% 30.72/5.12 % (158878)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4111238350:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 30.72/5.12 % (158878)Refutation not found, incomplete strategy
% 30.72/5.12 % (158878)------------------------------
% 30.72/5.12 % (158878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/5.12 % (158878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/5.12 % (158878)CaDiCaL version: 2.1.3
% 30.72/5.12 % (158878)Termination reason: Refutation not found, incomplete strategy
% 30.72/5.12 % (158878)Time elapsed: 0.078 s
% 30.72/5.12 % (158878)Peak memory usage: 94 MB
% 30.72/5.12 % (158878)Instructions burned: 149 (million)
% 30.72/5.12 % (158880)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=41034350:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 30.72/5.12 % (158878)------------------------------
% 30.72/5.12 % (158878)------------------------------
% 30.72/5.12 % (158883)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1221181766:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 30.72/5.12 % (158883)Instruction limit reached!
% 30.72/5.12 % (158883)------------------------------
% 30.72/5.12 % (158883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/5.12 % (158883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/5.12 % (158883)CaDiCaL version: 2.1.3
% 30.72/5.12 % (158883)Termination reason: Instruction limit
% 30.72/5.12 % (158883)Termination phase: SInE selection
% 30.72/5.12 % (158883)Time elapsed: 0.046 s
% 30.72/5.12 % (158883)Peak memory usage: 88 MB
% 30.72/5.12 % (158883)Instructions burned: 126 (million)
% 30.72/5.12 % (158861)Instruction limit reached!
% 30.72/5.12 % (158861)------------------------------
% 30.72/5.12 % (158861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/5.12 % (158861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/5.12 % (158861)CaDiCaL version: 2.1.3
% 30.72/5.12 % (158861)Termination reason: Instruction limit
% 30.72/5.12 % (158861)Termination phase: Saturation
% 30.72/5.12 % (158861)Time elapsed: 1.394 s
% 30.72/5.12 % (158861)Peak memory usage: 211 MB
% 30.72/5.12 % (158861)Instructions burned: 2351 (million)
% 30.72/5.12 % (158885)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2383271428:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 30.72/5.12 % (158885)Instruction limit reached!
% 30.72/5.12 % (158885)------------------------------
% 30.72/5.12 % (158885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/5.12 % (158885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/5.12 % (158885)CaDiCaL version: 2.1.3
% 30.72/5.12 % (158885)Termination reason: Instruction limit
% 30.72/5.12 % (158885)Termination phase: Property scanning
% 30.72/5.12 % (158885)Time elapsed: 0.050 s
% 30.72/5.12 % (158885)Peak memory usage: 87 MB
% 30.72/5.12 % (158885)Instructions burned: 136 (million)
% 30.72/5.12 % (158886)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=553291940:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 30.72/5.12 % (158886)Refutation not found, incomplete strategy
% 30.72/5.12 % (158886)------------------------------
% 30.72/5.12 % (158886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/5.12 % (158886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/5.12 % (158886)CaDiCaL version: 2.1.3
% 30.72/5.12 % (158886)Termination reason: Refutation not found, incomplete strategy
% 30.72/5.12 % (158886)Time elapsed: 0.018 s
% 30.72/5.12 % (158886)Peak memory usage: 92 MB
% 30.72/5.12 % (158886)Instructions burned: 36 (million)
% 30.72/5.12 % (158888)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2120097944:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 30.72/5.12 % (158886)------------------------------
% 30.72/5.12 % (158886)------------------------------
% 30.72/5.12 % (158888)Instruction limit reached!
% 30.72/5.12 % (158888)------------------------------
% 30.72/5.12 % (158888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/5.12 % (158888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/5.12 % (158888)CaDiCaL version: 2.1.3
% 30.72/5.12 % (158888)Termination reason: Instruction limit
% 30.72/5.12 % (158888)Termination phase: Saturation
% 30.72/5.12 % (158888)Time elapsed: 0.231 s
% 30.72/5.12 % (158888)Peak memory usage: 95 MB
% 30.72/5.12 % (158888)Instructions burned: 432 (million)
% 30.72/5.12 % (158891)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3394230109:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 30.72/5.12 % (158892)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1684479988:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 30.72/5.12 % (158892)Instruction limit reached!
% 30.72/5.12 % (158892)------------------------------
% 30.72/5.12 % (158892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/5.12 % (158892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/5.12 % (158892)CaDiCaL version: 2.1.3
% 30.72/5.12 % (158892)Termination reason: Instruction limit
% 30.72/5.12 % (158892)Termination phase: Preprocessing 3
% 30.72/5.12 % (158892)Time elapsed: 0.075 s
% 30.72/5.12 % (158892)Peak memory usage: 93 MB
% 30.72/5.12 % (158892)Instructions burned: 151 (million)
% 30.72/5.12 % (158895)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=850273393:i=14155:bd=all_2970 on theBenchmark for (2970ds/14155Mi)
% 30.72/5.12 % (158874)Instruction limit reached!
% 30.72/5.12 % (158874)------------------------------
% 30.72/5.12 % (158874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/5.12 % (158874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/5.12 % (158874)CaDiCaL version: 2.1.3
% 30.72/5.12 % (158874)Termination reason: Instruction limit
% 30.72/5.12 % (158874)Termination phase: Saturation
% 30.72/5.12 % (158874)Time elapsed: 1.935 s
% 30.72/5.12 % (158874)Peak memory usage: 211 MB
% 30.72/5.12 % (158874)Instructions burned: 5204 (million)
% 30.72/5.12 % (158897)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=741719772:i=667:av=off:fsr=off_2968 on theBenchmark for (2968ds/667Mi)
% 30.72/5.12 % (158897)Instruction limit reached!
% 30.72/5.12 % (158897)------------------------------
% 30.72/5.12 % (158897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/5.12 % (158897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/5.12 % (158897)CaDiCaL version: 2.1.3
% 30.72/5.12 % (158897)Termination reason: Instruction limit
% 30.72/5.12 % (158897)Termination phase: Saturation
% 30.72/5.12 % (158897)Time elapsed: 0.153 s
% 30.72/5.12 % (158897)Peak memory usage: 98 MB
% 30.72/5.12 % (158897)Instructions burned: 670 (million)
% 30.72/5.12 % (158899)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3604221709:s2a=on:i=185:s2at=1.8:fdi=4_2965 on theBenchmark for (2965ds/185Mi)
% 30.72/5.12 % (158899)Instruction limit reached!
% 30.72/5.12 % (158899)------------------------------
% 30.72/5.12 % (158899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/5.12 % (158899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/5.12 % (158899)CaDiCaL version: 2.1.3
% 30.72/5.12 % (158899)Termination reason: Instruction limit
% 30.72/5.12 % (158899)Termination phase: NewCNF
% 30.72/5.12 % (158899)Time elapsed: 0.052 s
% 30.72/5.12 % (158899)Peak memory usage: 93 MB
% 30.72/5.12 % (158899)Instructions burned: 186 (million)
% 30.72/5.12 % (158901)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1689443603:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2963 on theBenchmark for (2963ds/193Mi)
% 30.72/5.12 % (158901)Instruction limit reached!
% 30.72/5.12 % (158901)------------------------------
% 30.72/5.12 % (158901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/5.12 % (158901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/5.12 % (158901)CaDiCaL version: 2.1.3
% 30.72/5.12 % (158901)Termination reason: Instruction limit
% 30.72/5.12 % (158901)Termination phase: Saturation
% 30.72/5.12 % (158901)Time elapsed: 0.053 s
% 30.72/5.12 % (158901)Peak memory usage: 93 MB
% 30.72/5.12 % (158901)Instructions burned: 198 (million)
% 30.72/5.12 % (158903)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2598064454:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2961 on theBenchmark for (2961ds/4850Mi)
% 30.72/5.12 % (158903)First to succeed.
% 30.72/5.12 % (158903)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-158834"
% 30.72/5.12 % (158903)Refutation found. Thanks to Tanya!
% 30.72/5.12 % SZS status Theorem for theBenchmark
% 30.72/5.12 % SZS output start Proof for theBenchmark
% See solution above
% 31.46/5.22 % (158903)------------------------------
% 31.46/5.22 % (158903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.46/5.22 % (158903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.46/5.22 % (158903)CaDiCaL version: 2.1.3
% 31.46/5.22 % (158903)Termination reason: Refutation
% 31.46/5.22 % (158903)Time elapsed: 0.376 s
% 31.46/5.22 % (158903)Peak memory usage: 109 MB
% 31.46/5.22 % (158903)Instructions burned: 1402 (million)
% 31.46/5.22 % (158903)------------------------------
% 31.46/5.22 % (158903)------------------------------
% 31.46/5.22 % (158834)Success in time 4.496 s
% 31.46/5.22 % Vampire exiting
%------------------------------------------------------------------------------