%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV660+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:58:31 PM UTC 2026
% Result : Theorem 30.25s 5.94s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 22
% Syntax : Number of formulae : 115 ( 32 unt; 9 def)
% Number of atoms : 346 ( 35 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 399 ( 168 ~; 164 |; 38 &)
% ( 17 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 10 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-5 aty)
% Number of variables : 131 ( 0 sgn 117 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f223,axiom,
! [X0] :
( cmonads_2eextMonad___24a1(X0)
<=> ! [X1] :
( cType___24t(X1)
=> ! [X2] :
( cType___24t(X2)
=> ! [X3] :
( c_24__type__172___24t(X0,X1,X2,X3)
=> ! [X4] :
( c_24__type__172___24t(X0,X1,X2,X4)
=> ( cQuicksortComplexity_2eutil_2eext__eq___24a4(X1,cmonads_2emon___24a2(X0,X2),X3,X4)
=> ! [X5] :
( cmonads_2emon___24t(X0,X1,X5)
=> cmonads_2ebind___24a5(X0,X1,X2,X5,X3) = cmonads_2ebind___24a5(X0,X1,X2,X5,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_def_monads.extMonad') ).
fof(f475,axiom,
! [X0] :
( c_24__type__1___24t(X0)
<=> ! [X1] :
( cA___24t(X1)
=> cmonads_2emon___24t(cM,cB,happ(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_type_1') ).
fof(f539,axiom,
! [X0,X1,X2,X3] :
( c_24__type__172___24t(X0,X1,X2,X3)
<=> ! [X4] :
( t(X4,X1)
=> cmonads_2emon___24t(X0,X2,happ(X3,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_type_172') ).
fof(f821,axiom,
cType___24t(cA),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_A') ).
fof(f822,axiom,
cType___24t(cB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_B') ).
fof(f1407,axiom,
c_24__type__1___24t(cf),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_f') ).
fof(f1408,axiom,
c_24__type__1___24t(cg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_g') ).
fof(f1417,axiom,
cmonads_2emon___24t(cM,cA,cn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_n') ).
fof(f1814,axiom,
cmonads_2eextMonad___24a1(cM),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e) ).
fof(f1855,axiom,
! [X0,X1] : happ(happ(cmonads_2emon,X0),X1) = cmonads_2emon___24a2(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_monads.mon_$a2') ).
fof(f1919,axiom,
! [X0,X1,X2,X3,X4] : happ(happ(happ(happ(happ(cmonads_2ebind,X0),X1),X2),X3),X4) = cmonads_2ebind___24a5(X0,X1,X2,X3,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_monads.bind_$a5') ).
fof(f2519,axiom,
! [X0] :
( cA___24t(X0)
<=> t(X0,cA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$tdef_A') ).
fof(f2690,conjecture,
( cm = cn
=> ( cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,cmonads_2emon___24a2(cM,cB),cf,cg)
=> cmonads_2ebind___24a5(cM,cA,cB,cm,cf) = cmonads_2ebind___24a5(cM,cA,cB,cn,cg) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f2691,negated_conjecture,
~ ( cm = cn
=> ( cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,cmonads_2emon___24a2(cM,cB),cf,cg)
=> cmonads_2ebind___24a5(cM,cA,cB,cm,cf) = cmonads_2ebind___24a5(cM,cA,cB,cn,cg) ) ),
inference(negated_conjecture,[status(cth)],[f2690]) ).
fof(f3016,plain,
! [X0] :
( cmonads_2eextMonad___24a1(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( cmonads_2ebind___24a5(X0,X1,X2,X5,X3) = cmonads_2ebind___24a5(X0,X1,X2,X5,X4)
| ~ cmonads_2emon___24t(X0,X1,X5) )
| ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(X1,cmonads_2emon___24a2(X0,X2),X3,X4)
| ~ c_24__type__172___24t(X0,X1,X2,X4) )
| ~ c_24__type__172___24t(X0,X1,X2,X3) )
| ~ cType___24t(X2) )
| ~ cType___24t(X1) ) ),
inference(ennf_transformation,[],[f223]) ).
fof(f3017,plain,
! [X0] :
( cmonads_2eextMonad___24a1(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( cmonads_2ebind___24a5(X0,X1,X2,X5,X3) = cmonads_2ebind___24a5(X0,X1,X2,X5,X4)
| ~ cmonads_2emon___24t(X0,X1,X5) )
| ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(X1,cmonads_2emon___24a2(X0,X2),X3,X4)
| ~ c_24__type__172___24t(X0,X1,X2,X4) )
| ~ c_24__type__172___24t(X0,X1,X2,X3) )
| ~ cType___24t(X2) )
| ~ cType___24t(X1) ) ),
inference(flattening,[],[f3016]) ).
fof(f3287,plain,
! [X0] :
( c_24__type__1___24t(X0)
<=> ! [X1] :
( cmonads_2emon___24t(cM,cB,happ(X0,X1))
| ~ cA___24t(X1) ) ),
inference(ennf_transformation,[],[f475]) ).
fof(f3356,plain,
! [X0,X1,X2,X3] :
( c_24__type__172___24t(X0,X1,X2,X3)
<=> ! [X4] :
( cmonads_2emon___24t(X0,X2,happ(X3,X4))
| ~ t(X4,X1) ) ),
inference(ennf_transformation,[],[f539]) ).
fof(f4303,plain,
( cmonads_2ebind___24a5(cM,cA,cB,cm,cf) != cmonads_2ebind___24a5(cM,cA,cB,cn,cg)
& cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,cmonads_2emon___24a2(cM,cB),cf,cg)
& cm = cn ),
inference(ennf_transformation,[],[f2691]) ).
fof(f4304,plain,
( cmonads_2ebind___24a5(cM,cA,cB,cm,cf) != cmonads_2ebind___24a5(cM,cA,cB,cn,cg)
& cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,cmonads_2emon___24a2(cM,cB),cf,cg)
& cm = cn ),
inference(flattening,[],[f4303]) ).
fof(f4716,plain,
! [X0] :
( ( cmonads_2eextMonad___24a1(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( cmonads_2ebind___24a5(X0,X1,X2,X5,X3) != cmonads_2ebind___24a5(X0,X1,X2,X5,X4)
& cmonads_2emon___24t(X0,X1,X5) )
& cQuicksortComplexity_2eutil_2eext__eq___24a4(X1,cmonads_2emon___24a2(X0,X2),X3,X4)
& c_24__type__172___24t(X0,X1,X2,X4) )
& c_24__type__172___24t(X0,X1,X2,X3) )
& cType___24t(X2) )
& cType___24t(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( cmonads_2ebind___24a5(X0,X1,X2,X5,X3) = cmonads_2ebind___24a5(X0,X1,X2,X5,X4)
| ~ cmonads_2emon___24t(X0,X1,X5) )
| ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(X1,cmonads_2emon___24a2(X0,X2),X3,X4)
| ~ c_24__type__172___24t(X0,X1,X2,X4) )
| ~ c_24__type__172___24t(X0,X1,X2,X3) )
| ~ cType___24t(X2) )
| ~ cType___24t(X1) )
| ~ cmonads_2eextMonad___24a1(X0) ) ),
inference(nnf_transformation,[],[f3017]) ).
fof(f4717,plain,
! [X0] :
( ( cmonads_2eextMonad___24a1(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( cmonads_2ebind___24a5(X0,X1,X2,X5,X3) != cmonads_2ebind___24a5(X0,X1,X2,X5,X4)
& cmonads_2emon___24t(X0,X1,X5) )
& cQuicksortComplexity_2eutil_2eext__eq___24a4(X1,cmonads_2emon___24a2(X0,X2),X3,X4)
& c_24__type__172___24t(X0,X1,X2,X4) )
& c_24__type__172___24t(X0,X1,X2,X3) )
& cType___24t(X2) )
& cType___24t(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( cmonads_2ebind___24a5(X0,X6,X7,X10,X8) = cmonads_2ebind___24a5(X0,X6,X7,X10,X9)
| ~ cmonads_2emon___24t(X0,X6,X10) )
| ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(X6,cmonads_2emon___24a2(X0,X7),X8,X9)
| ~ c_24__type__172___24t(X0,X6,X7,X9) )
| ~ c_24__type__172___24t(X0,X6,X7,X8) )
| ~ cType___24t(X7) )
| ~ cType___24t(X6) )
| ~ cmonads_2eextMonad___24a1(X0) ) ),
inference(rectify,[],[f4716]) ).
fof(f4718,plain,
! [X0] :
( ( cmonads_2eextMonad___24a1(X0)
| ( cmonads_2ebind___24a5(X0,sK349(X0),sK350(X0),sK353(X0),sK351(X0)) != cmonads_2ebind___24a5(X0,sK349(X0),sK350(X0),sK353(X0),sK352(X0))
& cmonads_2emon___24t(X0,sK349(X0),sK353(X0))
& cQuicksortComplexity_2eutil_2eext__eq___24a4(sK349(X0),cmonads_2emon___24a2(X0,sK350(X0)),sK351(X0),sK352(X0))
& c_24__type__172___24t(X0,sK349(X0),sK350(X0),sK352(X0))
& c_24__type__172___24t(X0,sK349(X0),sK350(X0),sK351(X0))
& cType___24t(sK350(X0))
& cType___24t(sK349(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( cmonads_2ebind___24a5(X0,X6,X7,X10,X8) = cmonads_2ebind___24a5(X0,X6,X7,X10,X9)
| ~ cmonads_2emon___24t(X0,X6,X10) )
| ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(X6,cmonads_2emon___24a2(X0,X7),X8,X9)
| ~ c_24__type__172___24t(X0,X6,X7,X9) )
| ~ c_24__type__172___24t(X0,X6,X7,X8) )
| ~ cType___24t(X7) )
| ~ cType___24t(X6) )
| ~ cmonads_2eextMonad___24a1(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK349,sK350,sK351,sK352,sK353]),skolemize(X1,sK349(X0)),skolemize(X2,sK350(X0)),skolemize(X3,sK351(X0)),skolemize(X4,sK352(X0)),skolemize(X5,sK353(X0))],[f4717]) ).
fof(f4895,plain,
! [X0] :
( ( c_24__type__1___24t(X0)
| ? [X1] :
( ~ cmonads_2emon___24t(cM,cB,happ(X0,X1))
& cA___24t(X1) ) )
& ( ! [X1] :
( cmonads_2emon___24t(cM,cB,happ(X0,X1))
| ~ cA___24t(X1) )
| ~ c_24__type__1___24t(X0) ) ),
inference(nnf_transformation,[],[f3287]) ).
fof(f4896,plain,
! [X0] :
( ( c_24__type__1___24t(X0)
| ? [X1] :
( ~ cmonads_2emon___24t(cM,cB,happ(X0,X1))
& cA___24t(X1) ) )
& ( ! [X2] :
( cmonads_2emon___24t(cM,cB,happ(X0,X2))
| ~ cA___24t(X2) )
| ~ c_24__type__1___24t(X0) ) ),
inference(rectify,[],[f4895]) ).
fof(f4897,plain,
! [X0] :
( ( c_24__type__1___24t(X0)
| ( ~ cmonads_2emon___24t(cM,cB,happ(X0,sK590(X0)))
& cA___24t(sK590(X0)) ) )
& ( ! [X2] :
( cmonads_2emon___24t(cM,cB,happ(X0,X2))
| ~ cA___24t(X2) )
| ~ c_24__type__1___24t(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK590]),skolemize(X1,sK590(X0))],[f4896]) ).
fof(f5087,plain,
! [X0,X1,X2,X3] :
( ( c_24__type__172___24t(X0,X1,X2,X3)
| ? [X4] :
( ~ cmonads_2emon___24t(X0,X2,happ(X3,X4))
& t(X4,X1) ) )
& ( ! [X4] :
( cmonads_2emon___24t(X0,X2,happ(X3,X4))
| ~ t(X4,X1) )
| ~ c_24__type__172___24t(X0,X1,X2,X3) ) ),
inference(nnf_transformation,[],[f3356]) ).
fof(f5088,plain,
! [X0,X1,X2,X3] :
( ( c_24__type__172___24t(X0,X1,X2,X3)
| ? [X4] :
( ~ cmonads_2emon___24t(X0,X2,happ(X3,X4))
& t(X4,X1) ) )
& ( ! [X5] :
( cmonads_2emon___24t(X0,X2,happ(X3,X5))
| ~ t(X5,X1) )
| ~ c_24__type__172___24t(X0,X1,X2,X3) ) ),
inference(rectify,[],[f5087]) ).
fof(f5089,plain,
! [X0,X1,X2,X3] :
( ( c_24__type__172___24t(X0,X1,X2,X3)
| ( ~ cmonads_2emon___24t(X0,X2,happ(X3,sK755(X0,X1,X2,X3)))
& t(sK755(X0,X1,X2,X3),X1) ) )
& ( ! [X5] :
( cmonads_2emon___24t(X0,X2,happ(X3,X5))
| ~ t(X5,X1) )
| ~ c_24__type__172___24t(X0,X1,X2,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK755]),skolemize(X4,sK755(X0,X1,X2,X3))],[f5088]) ).
fof(f6301,plain,
! [X0] :
( ( cA___24t(X0)
| ~ t(X0,cA) )
& ( t(X0,cA)
| ~ cA___24t(X0) ) ),
inference(nnf_transformation,[],[f2519]) ).
fof(f8388,plain,
! [X10,X0,X8,X6,X9,X7] :
( cmonads_2ebind___24a5(X0,X6,X7,X10,X8) = cmonads_2ebind___24a5(X0,X6,X7,X10,X9)
| ~ cmonads_2emon___24t(X0,X6,X10)
| ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(X6,cmonads_2emon___24a2(X0,X7),X8,X9)
| ~ c_24__type__172___24t(X0,X6,X7,X9)
| ~ c_24__type__172___24t(X0,X6,X7,X8)
| ~ cType___24t(X7)
| ~ cType___24t(X6)
| ~ cmonads_2eextMonad___24a1(X0) ),
inference(cnf_transformation,[],[f4718]) ).
fof(f9608,plain,
! [X2,X0] :
( cmonads_2emon___24t(cM,cB,happ(X0,X2))
| ~ cA___24t(X2)
| ~ c_24__type__1___24t(X0) ),
inference(cnf_transformation,[],[f4897]) ).
fof(f9908,plain,
! [X2,X3,X0,X1] :
( c_24__type__172___24t(X0,X1,X2,X3)
| t(sK755(X0,X1,X2,X3),X1) ),
inference(cnf_transformation,[],[f5089]) ).
fof(f9909,plain,
! [X2,X3,X0,X1] :
( c_24__type__172___24t(X0,X1,X2,X3)
| ~ cmonads_2emon___24t(X0,X2,happ(X3,sK755(X0,X1,X2,X3))) ),
inference(cnf_transformation,[],[f5089]) ).
fof(f11057,plain,
cType___24t(cA),
inference(cnf_transformation,[],[f821]) ).
fof(f11058,plain,
cType___24t(cB),
inference(cnf_transformation,[],[f822]) ).
fof(f11643,plain,
c_24__type__1___24t(cf),
inference(cnf_transformation,[],[f1407]) ).
fof(f11644,plain,
c_24__type__1___24t(cg),
inference(cnf_transformation,[],[f1408]) ).
fof(f11653,plain,
cmonads_2emon___24t(cM,cA,cn),
inference(cnf_transformation,[],[f1417]) ).
fof(f12116,plain,
cmonads_2eextMonad___24a1(cM),
inference(cnf_transformation,[],[f1814]) ).
fof(f12161,plain,
! [X0,X1] : happ(happ(cmonads_2emon,X0),X1) = cmonads_2emon___24a2(X0,X1),
inference(cnf_transformation,[],[f1855]) ).
fof(f12234,plain,
! [X2,X3,X0,X1,X4] : happ(happ(happ(happ(happ(cmonads_2ebind,X0),X1),X2),X3),X4) = cmonads_2ebind___24a5(X0,X1,X2,X3,X4),
inference(cnf_transformation,[],[f1919]) ).
fof(f13139,plain,
! [X0] :
( cA___24t(X0)
| ~ t(X0,cA) ),
inference(cnf_transformation,[],[f6301]) ).
fof(f13476,plain,
cm = cn,
inference(cnf_transformation,[],[f4304]) ).
fof(f13477,plain,
cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,cmonads_2emon___24a2(cM,cB),cf,cg),
inference(cnf_transformation,[],[f4304]) ).
fof(f13478,plain,
cmonads_2ebind___24a5(cM,cA,cB,cm,cf) != cmonads_2ebind___24a5(cM,cA,cB,cn,cg),
inference(cnf_transformation,[],[f4304]) ).
fof(f14983,plain,
! [X10,X0,X8,X6,X9,X7] :
( happ(happ(happ(happ(happ(cmonads_2ebind,X0),X6),X7),X10),X8) = happ(happ(happ(happ(happ(cmonads_2ebind,X0),X6),X7),X10),X9)
| ~ cmonads_2emon___24t(X0,X6,X10)
| ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(X6,happ(happ(cmonads_2emon,X0),X7),X8,X9)
| ~ c_24__type__172___24t(X0,X6,X7,X9)
| ~ c_24__type__172___24t(X0,X6,X7,X8)
| ~ cType___24t(X7)
| ~ cType___24t(X6)
| ~ cmonads_2eextMonad___24a1(X0) ),
inference(definition_unfolding,[],[f8388,f12234,f12234,f12161]) ).
fof(f16189,plain,
happ(happ(happ(happ(happ(cmonads_2ebind,cM),cA),cB),cn),cf) != happ(happ(happ(happ(happ(cmonads_2ebind,cM),cA),cB),cn),cg),
inference(definition_unfolding,[],[f13478,f12234,f13476,f12234]) ).
fof(f16190,plain,
cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,happ(happ(cmonads_2emon,cM),cB),cf,cg),
inference(definition_unfolding,[],[f13477,f12161]) ).
fof(f17415,definition,
( spl1670_1
<=> happ(happ(happ(happ(happ(cmonads_2ebind,cM),cA),cB),cn),cf) = happ(happ(happ(happ(happ(cmonads_2ebind,cM),cA),cB),cn),cg) ),
introduced(definition,[new_symbols(definition,[spl1670_1])],[avatar_definition]) ).
fof(f17417,plain,
( happ(happ(happ(happ(happ(cmonads_2ebind,cM),cA),cB),cn),cf) != happ(happ(happ(happ(happ(cmonads_2ebind,cM),cA),cB),cn),cg)
| spl1670_1 ),
inference(avatar_component_clause,[],[f17415]) ).
fof(f17418,plain,
~ spl1670_1,
inference(avatar_split_clause,[],[f16189,f17415]) ).
fof(f17496,plain,
( ! [X0] :
( happ(happ(happ(happ(happ(cmonads_2ebind,cM),cA),cB),cn),cf) != happ(happ(happ(happ(happ(cmonads_2ebind,cM),cA),cB),cn),X0)
| ~ cmonads_2emon___24t(cM,cA,cn)
| ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,happ(happ(cmonads_2emon,cM),cB),X0,cg)
| ~ c_24__type__172___24t(cM,cA,cB,cg)
| ~ c_24__type__172___24t(cM,cA,cB,X0)
| ~ cType___24t(cB)
| ~ cType___24t(cA)
| ~ cmonads_2eextMonad___24a1(cM) )
| spl1670_1 ),
inference(superposition,[],[f17417,f14983]) ).
fof(f17499,plain,
( ! [X0] :
( happ(happ(happ(happ(happ(cmonads_2ebind,cM),cA),cB),cn),cf) != happ(happ(happ(happ(happ(cmonads_2ebind,cM),cA),cB),cn),X0)
| ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,happ(happ(cmonads_2emon,cM),cB),X0,cg)
| ~ c_24__type__172___24t(cM,cA,cB,cg)
| ~ c_24__type__172___24t(cM,cA,cB,X0)
| ~ cType___24t(cB)
| ~ cType___24t(cA)
| ~ cmonads_2eextMonad___24a1(cM) )
| spl1670_1 ),
inference(forward_subsumption_resolution,[],[f17496,f11653]) ).
fof(f17502,plain,
( ! [X0] :
( happ(happ(happ(happ(happ(cmonads_2ebind,cM),cA),cB),cn),cf) != happ(happ(happ(happ(happ(cmonads_2ebind,cM),cA),cB),cn),X0)
| ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,happ(happ(cmonads_2emon,cM),cB),X0,cg)
| ~ c_24__type__172___24t(cM,cA,cB,cg)
| ~ c_24__type__172___24t(cM,cA,cB,X0)
| ~ cType___24t(cA)
| ~ cmonads_2eextMonad___24a1(cM) )
| spl1670_1 ),
inference(forward_subsumption_resolution,[],[f17499,f11058]) ).
fof(f17504,plain,
( ! [X0] :
( happ(happ(happ(happ(happ(cmonads_2ebind,cM),cA),cB),cn),cf) != happ(happ(happ(happ(happ(cmonads_2ebind,cM),cA),cB),cn),X0)
| ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,happ(happ(cmonads_2emon,cM),cB),X0,cg)
| ~ c_24__type__172___24t(cM,cA,cB,cg)
| ~ c_24__type__172___24t(cM,cA,cB,X0)
| ~ cmonads_2eextMonad___24a1(cM) )
| spl1670_1 ),
inference(forward_subsumption_resolution,[],[f17502,f11057]) ).
fof(f17506,plain,
( ! [X0] :
( happ(happ(happ(happ(happ(cmonads_2ebind,cM),cA),cB),cn),cf) != happ(happ(happ(happ(happ(cmonads_2ebind,cM),cA),cB),cn),X0)
| ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,happ(happ(cmonads_2emon,cM),cB),X0,cg)
| ~ c_24__type__172___24t(cM,cA,cB,cg)
| ~ c_24__type__172___24t(cM,cA,cB,X0) )
| spl1670_1 ),
inference(forward_subsumption_resolution,[],[f17504,f12116]) ).
fof(f17508,definition,
( spl1670_2
<=> cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,happ(happ(cmonads_2emon,cM),cB),cf,cg) ),
introduced(definition,[new_symbols(definition,[spl1670_2])],[avatar_definition]) ).
fof(f17510,plain,
( cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,happ(happ(cmonads_2emon,cM),cB),cf,cg)
| ~ spl1670_2 ),
inference(avatar_component_clause,[],[f17508]) ).
fof(f17511,plain,
spl1670_2,
inference(avatar_split_clause,[],[f16190,f17508]) ).
fof(f17554,definition,
( spl1670_3
<=> c_24__type__172___24t(cM,cA,cB,cg) ),
introduced(definition,[new_symbols(definition,[spl1670_3])],[avatar_definition]) ).
fof(f17556,plain,
( ~ c_24__type__172___24t(cM,cA,cB,cg)
| spl1670_3 ),
inference(avatar_component_clause,[],[f17554]) ).
fof(f17558,definition,
( spl1670_4
<=> ! [X0] :
( happ(happ(happ(happ(happ(cmonads_2ebind,cM),cA),cB),cn),cf) != happ(happ(happ(happ(happ(cmonads_2ebind,cM),cA),cB),cn),X0)
| ~ c_24__type__172___24t(cM,cA,cB,X0)
| ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,happ(happ(cmonads_2emon,cM),cB),X0,cg) ) ),
introduced(definition,[new_symbols(definition,[spl1670_4])],[avatar_definition]) ).
fof(f17559,plain,
( ! [X0] :
( happ(happ(happ(happ(happ(cmonads_2ebind,cM),cA),cB),cn),cf) != happ(happ(happ(happ(happ(cmonads_2ebind,cM),cA),cB),cn),X0)
| ~ c_24__type__172___24t(cM,cA,cB,X0)
| ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,happ(happ(cmonads_2emon,cM),cB),X0,cg) )
| ~ spl1670_4 ),
inference(avatar_component_clause,[],[f17558]) ).
fof(f17560,plain,
( ~ spl1670_3
| spl1670_4
| spl1670_1 ),
inference(avatar_split_clause,[],[f17506,f17415,f17558,f17554]) ).
fof(f17566,plain,
( t(sK755(cM,cA,cB,cg),cA)
| spl1670_3 ),
inference(resolution,[],[f17556,f9908]) ).
fof(f17567,plain,
( ~ cmonads_2emon___24t(cM,cB,happ(cg,sK755(cM,cA,cB,cg)))
| spl1670_3 ),
inference(resolution,[],[f17556,f9909]) ).
fof(f17569,definition,
( spl1670_6
<=> cmonads_2emon___24t(cM,cB,happ(cg,sK755(cM,cA,cB,cg))) ),
introduced(definition,[new_symbols(definition,[spl1670_6])],[avatar_definition]) ).
fof(f17571,plain,
( ~ cmonads_2emon___24t(cM,cB,happ(cg,sK755(cM,cA,cB,cg)))
| spl1670_6 ),
inference(avatar_component_clause,[],[f17569]) ).
fof(f17572,plain,
( ~ spl1670_6
| spl1670_3 ),
inference(avatar_split_clause,[],[f17567,f17554,f17569]) ).
fof(f17573,plain,
( ~ cA___24t(sK755(cM,cA,cB,cg))
| ~ c_24__type__1___24t(cg)
| spl1670_6 ),
inference(resolution,[],[f17571,f9608]) ).
fof(f17589,plain,
( ~ cA___24t(sK755(cM,cA,cB,cg))
| spl1670_6 ),
inference(forward_subsumption_resolution,[],[f17573,f11644]) ).
fof(f17591,definition,
( spl1670_7
<=> t(sK755(cM,cA,cB,cg),cA) ),
introduced(definition,[new_symbols(definition,[spl1670_7])],[avatar_definition]) ).
fof(f17593,plain,
( t(sK755(cM,cA,cB,cg),cA)
| ~ spl1670_7 ),
inference(avatar_component_clause,[],[f17591]) ).
fof(f17594,plain,
( spl1670_7
| spl1670_3 ),
inference(avatar_split_clause,[],[f17566,f17554,f17591]) ).
fof(f17764,definition,
( spl1670_9
<=> c_24__type__172___24t(cM,cA,cB,cf) ),
introduced(definition,[new_symbols(definition,[spl1670_9])],[avatar_definition]) ).
fof(f17765,plain,
( c_24__type__172___24t(cM,cA,cB,cf)
| ~ spl1670_9 ),
inference(avatar_component_clause,[],[f17764]) ).
fof(f17766,plain,
( ~ c_24__type__172___24t(cM,cA,cB,cf)
| spl1670_9 ),
inference(avatar_component_clause,[],[f17764]) ).
fof(f17777,plain,
( cA___24t(sK755(cM,cA,cB,cg))
| ~ spl1670_7 ),
inference(resolution,[],[f17593,f13139]) ).
fof(f18863,plain,
( $false
| spl1670_6
| ~ spl1670_7 ),
inference(forward_subsumption_resolution,[],[f17777,f17589]) ).
fof(f18864,plain,
( spl1670_6
| ~ spl1670_7 ),
inference(avatar_contradiction_clause,[],[f18863]) ).
fof(f19013,plain,
( ~ c_24__type__172___24t(cM,cA,cB,cf)
| ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,happ(happ(cmonads_2emon,cM),cB),cf,cg)
| ~ spl1670_4 ),
inference(equality_resolution,[],[f17559]) ).
fof(f19222,plain,
( t(sK755(cM,cA,cB,cf),cA)
| spl1670_9 ),
inference(resolution,[],[f17766,f9908]) ).
fof(f19223,plain,
( ~ cmonads_2emon___24t(cM,cB,happ(cf,sK755(cM,cA,cB,cf)))
| spl1670_9 ),
inference(resolution,[],[f17766,f9909]) ).
fof(f19225,definition,
( spl1670_12
<=> cmonads_2emon___24t(cM,cB,happ(cf,sK755(cM,cA,cB,cf))) ),
introduced(definition,[new_symbols(definition,[spl1670_12])],[avatar_definition]) ).
fof(f19227,plain,
( ~ cmonads_2emon___24t(cM,cB,happ(cf,sK755(cM,cA,cB,cf)))
| spl1670_12 ),
inference(avatar_component_clause,[],[f19225]) ).
fof(f19228,plain,
( ~ spl1670_12
| spl1670_9 ),
inference(avatar_split_clause,[],[f19223,f17764,f19225]) ).
fof(f27379,plain,
( ~ cA___24t(sK755(cM,cA,cB,cf))
| ~ c_24__type__1___24t(cf)
| spl1670_12 ),
inference(resolution,[],[f19227,f9608]) ).
fof(f27395,plain,
( ~ cA___24t(sK755(cM,cA,cB,cf))
| spl1670_12 ),
inference(forward_subsumption_resolution,[],[f27379,f11643]) ).
fof(f27399,definition,
( spl1670_15
<=> t(sK755(cM,cA,cB,cf),cA) ),
introduced(definition,[new_symbols(definition,[spl1670_15])],[avatar_definition]) ).
fof(f27401,plain,
( t(sK755(cM,cA,cB,cf),cA)
| ~ spl1670_15 ),
inference(avatar_component_clause,[],[f27399]) ).
fof(f27402,plain,
( spl1670_15
| spl1670_9 ),
inference(avatar_split_clause,[],[f19222,f17764,f27399]) ).
fof(f28095,plain,
( cA___24t(sK755(cM,cA,cB,cf))
| ~ spl1670_15 ),
inference(resolution,[],[f27401,f13139]) ).
fof(f29181,plain,
( $false
| spl1670_12
| ~ spl1670_15 ),
inference(forward_subsumption_resolution,[],[f28095,f27395]) ).
fof(f29182,plain,
( spl1670_12
| ~ spl1670_15 ),
inference(avatar_contradiction_clause,[],[f29181]) ).
fof(f29193,plain,
( ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,happ(happ(cmonads_2emon,cM),cB),cf,cg)
| ~ spl1670_4
| ~ spl1670_9 ),
inference(forward_subsumption_resolution,[],[f19013,f17765]) ).
fof(f29211,plain,
( $false
| ~ spl1670_2
| ~ spl1670_4
| ~ spl1670_9 ),
inference(forward_subsumption_resolution,[],[f29193,f17510]) ).
fof(f29212,plain,
( ~ spl1670_2
| ~ spl1670_4
| ~ spl1670_9 ),
inference(avatar_contradiction_clause,[],[f29211]) ).
cnf(s1,plain,
~ spl1670_1,
inference(sat_conversion,[],[f17418]) ).
cnf(s2,plain,
spl1670_2,
inference(sat_conversion,[],[f17511]) ).
cnf(s3,plain,
( spl1670_1
| ~ spl1670_3
| spl1670_4 ),
inference(sat_conversion,[],[f17560]) ).
cnf(s5,plain,
( spl1670_3
| ~ spl1670_6 ),
inference(sat_conversion,[],[f17572]) ).
cnf(s6,plain,
( spl1670_3
| spl1670_7 ),
inference(sat_conversion,[],[f17594]) ).
cnf(s10,plain,
( spl1670_6
| ~ spl1670_7 ),
inference(sat_conversion,[],[f18864]) ).
cnf(s11,plain,
( spl1670_9
| ~ spl1670_12 ),
inference(sat_conversion,[],[f19228]) ).
cnf(s14,plain,
( spl1670_9
| spl1670_15 ),
inference(sat_conversion,[],[f27402]) ).
cnf(s19,plain,
( spl1670_12
| ~ spl1670_15 ),
inference(sat_conversion,[],[f29182]) ).
cnf(s20,plain,
( ~ spl1670_2
| ~ spl1670_4
| ~ spl1670_9 ),
inference(sat_conversion,[],[f29212]) ).
cnf(s23,plain,
spl1670_3,
inference(rat,[],[s10,s5,s6]) ).
cnf(s27,plain,
spl1670_4,
inference(rat,[],[s3,s1,s23]) ).
cnf(s30,plain,
~ spl1670_9,
inference(rat,[],[s20,s2,s27]) ).
cnf(s33,plain,
spl1670_15,
inference(rat,[],[s14,s30]) ).
cnf(s34,plain,
~ spl1670_12,
inference(rat,[],[s11,s30]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s19,s33,s34]) ).
fof(f29261,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV660+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n013.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Mon Sep 28 06:49:07 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.74/3.01 % (984419)Detected formulas, will run a generic FOF schedule.
% 13.74/3.01 % (984424)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=644040825:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 13.74/3.01 % (984425)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=1754084170:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 13.74/3.01 % (984428)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4004012651:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 13.74/3.01 % (984427)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3304540982:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 13.74/3.01 % (984426)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=2137620605:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 13.74/3.01 % (984429)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1230317430:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 13.74/3.01 % (984430)dis-21_1_sil=8000:lcm=predicate:random_seed=979386457: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)
% 13.74/3.01 % (984427)Refutation not found, incomplete strategy
% 13.74/3.01 % (984427)------------------------------
% 13.74/3.01 % (984427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.74/3.01 % (984427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.74/3.01 % (984427)CaDiCaL version: 2.1.3
% 13.74/3.01 % (984427)Termination reason: Refutation not found, incomplete strategy
% 13.74/3.01 % (984427)Time elapsed: 0.013 s
% 13.74/3.01 % (984427)Peak memory usage: 92 MB
% 13.74/3.01 % (984427)Instructions burned: 28 (million)
% 13.74/3.01 % (984428)Instruction limit reached!
% 13.74/3.01 % (984428)------------------------------
% 13.74/3.01 % (984428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.74/3.01 % (984428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.74/3.01 % (984428)CaDiCaL version: 2.1.3
% 13.74/3.01 % (984428)Termination reason: Instruction limit
% 13.74/3.01 % (984428)Termination phase: Saturation
% 13.74/3.01 % (984428)Time elapsed: 0.055 s
% 13.74/3.01 % (984428)Peak memory usage: 91 MB
% 13.74/3.01 % (984428)Instructions burned: 121 (million)
% 13.74/3.01 % (984429)Instruction limit reached!
% 13.74/3.01 % (984429)------------------------------
% 13.74/3.01 % (984429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.74/3.01 % (984429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.74/3.01 % (984429)CaDiCaL version: 2.1.3
% 13.74/3.01 % (984429)Termination reason: Instruction limit
% 13.74/3.01 % (984429)Termination phase: Preprocessing 3
% 13.74/3.01 % (984429)Time elapsed: 0.072 s
% 13.74/3.01 % (984429)Peak memory usage: 92 MB
% 13.74/3.01 % (984429)Instructions burned: 141 (million)
% 13.74/3.01 % (984430)Instruction limit reached!
% 13.74/3.01 % (984430)------------------------------
% 13.74/3.01 % (984430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.74/3.01 % (984430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.74/3.01 % (984430)CaDiCaL version: 2.1.3
% 13.74/3.01 % (984430)Termination reason: Instruction limit
% 13.74/3.01 % (984430)Termination phase: Property scanning
% 13.74/3.01 % (984430)Time elapsed: 0.073 s
% 13.74/3.01 % (984430)Peak memory usage: 94 MB
% 13.74/3.01 % (984430)Instructions burned: 129 (million)
% 13.74/3.01 % (984438)lrs+10_1_sil=8000:sp=occurrence:random_seed=3681062127:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 13.74/3.01 % (984440)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1019353969:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 13.74/3.01 % (984439)lrs+10_1_sil=32000:urr=on:br=off:random_seed=336020830:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 13.74/3.01 % (984439)Refutation not found, incomplete strategy
% 13.74/3.01 % (984439)------------------------------
% 13.74/3.01 % (984439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.74/3.01 % (984439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.87/3.83 % (984439)CaDiCaL version: 2.1.3
% 19.87/3.83 % (984439)Termination reason: Refutation not found, incomplete strategy
% 19.87/3.83 % (984439)Time elapsed: 0.025 s
% 19.87/3.83 % (984439)Peak memory usage: 92 MB
% 19.87/3.83 % (984439)Instructions burned: 59 (million)
% 19.87/3.83 % (984427)------------------------------
% 19.87/3.83 % (984427)------------------------------
% 19.87/3.83 % (984440)Instruction limit reached!
% 19.87/3.83 % (984440)------------------------------
% 19.87/3.83 % (984440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.87/3.83 % (984440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.87/3.83 % (984440)CaDiCaL version: 2.1.3
% 19.87/3.83 % (984440)Termination reason: Instruction limit
% 19.87/3.83 % (984440)Termination phase: Saturation
% 19.87/3.83 % (984440)Time elapsed: 0.117 s
% 19.87/3.83 % (984440)Peak memory usage: 92 MB
% 19.87/3.83 % (984440)Instructions burned: 328 (million)
% 19.87/3.83 % (984438)Instruction limit reached!
% 19.87/3.83 % (984438)------------------------------
% 19.87/3.83 % (984438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.87/3.83 % (984438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.87/3.83 % (984438)CaDiCaL version: 2.1.3
% 19.87/3.83 % (984438)Termination reason: Instruction limit
% 19.87/3.83 % (984438)Termination phase: Saturation
% 19.87/3.83 % (984438)Time elapsed: 0.189 s
% 19.87/3.83 % (984438)Peak memory usage: 96 MB
% 19.87/3.83 % (984438)Instructions burned: 285 (million)
% 19.87/3.83 % (984444)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=3595596095:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 19.87/3.83 % (984445)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3545107943:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 19.87/3.83 % (984439)------------------------------
% 19.87/3.83 % (984439)------------------------------
% 19.87/3.83 % (984444)Instruction limit reached!
% 19.87/3.83 % (984444)------------------------------
% 19.87/3.83 % (984444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.87/3.83 % (984444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.87/3.83 % (984444)CaDiCaL version: 2.1.3
% 19.87/3.83 % (984444)Termination reason: Instruction limit
% 19.87/3.83 % (984444)Termination phase: Saturation
% 19.87/3.83 % (984444)Time elapsed: 0.121 s
% 19.87/3.83 % (984444)Peak memory usage: 96 MB
% 19.87/3.83 % (984444)Instructions burned: 249 (million)
% 19.87/3.83 % (984446)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3449798577:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 19.87/3.83 % (984445)Instruction limit reached!
% 19.87/3.83 % (984445)------------------------------
% 19.87/3.83 % (984445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.87/3.83 % (984445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.87/3.83 % (984445)CaDiCaL version: 2.1.3
% 19.87/3.83 % (984445)Termination reason: Instruction limit
% 19.87/3.83 % (984445)Termination phase: Saturation
% 19.87/3.83 % (984445)Time elapsed: 0.151 s
% 19.87/3.83 % (984445)Peak memory usage: 92 MB
% 19.87/3.83 % (984445)Instructions burned: 295 (million)
% 19.87/3.83 % (984449)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2376805055:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 19.87/3.83 % (984451)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=902262974:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 19.87/3.83 % (984449)Instruction limit reached!
% 19.87/3.83 % (984449)------------------------------
% 19.87/3.83 % (984449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.87/3.83 % (984449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.87/3.83 % (984449)CaDiCaL version: 2.1.3
% 19.87/3.83 % (984449)Termination reason: Instruction limit
% 19.87/3.83 % (984449)Termination phase: Preprocessing 3
% 19.87/3.83 % (984449)Time elapsed: 0.065 s
% 19.87/3.83 % (984449)Peak memory usage: 93 MB
% 19.87/3.83 % (984449)Instructions burned: 113 (million)
% 19.87/3.83 % (984451)Instruction limit reached!
% 19.87/3.83 % (984451)------------------------------
% 19.87/3.83 % (984451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.87/3.83 % (984451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.87/3.83 % (984451)CaDiCaL version: 2.1.3
% 30.25/5.94 % (984451)Termination reason: Instruction limit
% 30.25/5.94 % (984451)Termination phase: Property scanning
% 30.25/5.94 % (984451)Time elapsed: 0.073 s
% 30.25/5.94 % (984451)Peak memory usage: 94 MB
% 30.25/5.94 % (984451)Instructions burned: 128 (million)
% 30.25/5.94 % (984452)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1540615363:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 30.25/5.94 % (984452)Instruction limit reached!
% 30.25/5.94 % (984452)------------------------------
% 30.25/5.94 % (984452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.25/5.94 % (984452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.25/5.94 % (984452)CaDiCaL version: 2.1.3
% 30.25/5.94 % (984452)Termination reason: Instruction limit
% 30.25/5.94 % (984452)Termination phase: Preprocessing 3
% 30.25/5.94 % (984452)Time elapsed: 0.050 s
% 30.25/5.94 % (984452)Peak memory usage: 90 MB
% 30.25/5.94 % (984452)Instructions burned: 115 (million)
% 30.25/5.94 % (984455)lrs+10_1_sil=8000:sp=occurrence:random_seed=1226685636:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 30.25/5.94 % (984456)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1702742509:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 30.25/5.94 % (984458)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3324660690:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 30.25/5.94 % (984456)Instruction limit reached!
% 30.25/5.94 % (984456)------------------------------
% 30.25/5.94 % (984456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.25/5.94 % (984456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.25/5.94 % (984456)CaDiCaL version: 2.1.3
% 30.25/5.94 % (984456)Termination reason: Instruction limit
% 30.25/5.94 % (984456)Termination phase: Saturation
% 30.25/5.94 % (984456)Time elapsed: 0.220 s
% 30.25/5.94 % (984456)Peak memory usage: 102 MB
% 30.25/5.94 % (984456)Instructions burned: 438 (million)
% 30.25/5.94 % (984463)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1657804019:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 30.25/5.94 % (984463)Instruction limit reached!
% 30.25/5.94 % (984463)------------------------------
% 30.25/5.94 % (984463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.25/5.94 % (984463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.25/5.94 % (984463)CaDiCaL version: 2.1.3
% 30.25/5.94 % (984463)Termination reason: Instruction limit
% 30.25/5.94 % (984463)Termination phase: NewCNF
% 30.25/5.94 % (984463)Time elapsed: 0.080 s
% 30.25/5.94 % (984463)Peak memory usage: 93 MB
% 30.25/5.94 % (984463)Instructions burned: 134 (million)
% 30.25/5.94 % (984455)Instruction limit reached!
% 30.25/5.94 % (984455)------------------------------
% 30.25/5.94 % (984455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.25/5.94 % (984455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.25/5.94 % (984455)CaDiCaL version: 2.1.3
% 30.25/5.94 % (984455)Termination reason: Instruction limit
% 30.25/5.94 % (984455)Termination phase: Saturation
% 30.25/5.94 % (984455)Time elapsed: 0.529 s
% 30.25/5.94 % (984455)Peak memory usage: 110 MB
% 30.25/5.94 % (984455)Instructions burned: 907 (million)
% 30.25/5.94 % (984465)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=880260406:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 30.25/5.94 % (984466)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=251666297:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 30.25/5.94 % (984465)Instruction limit reached!
% 30.25/5.94 % (984465)------------------------------
% 30.25/5.94 % (984465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.25/5.94 % (984465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.25/5.94 % (984465)CaDiCaL version: 2.1.3
% 30.25/5.94 % (984465)Termination reason: Instruction limit
% 30.25/5.94 % (984465)Termination phase: Saturation
% 30.25/5.94 % (984465)Time elapsed: 0.285 s
% 30.25/5.94 % (984465)Peak memory usage: 97 MB
% 30.25/5.94 % (984465)Instructions burned: 592 (million)
% 30.25/5.94 % (984469)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=2847859064:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 30.25/5.94 % (984469)Instruction limit reached!
% 30.25/5.94 % (984469)------------------------------
% 30.25/5.94 % (984469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.25/5.94 % (984469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.25/5.94 % (984469)CaDiCaL version: 2.1.3
% 30.25/5.94 % (984469)Termination reason: Instruction limit
% 30.25/5.94 % (984469)Termination phase: Saturation
% 30.25/5.94 % (984469)Time elapsed: 0.057 s
% 30.25/5.94 % (984469)Peak memory usage: 93 MB
% 30.25/5.94 % (984469)Instructions burned: 126 (million)
% 30.25/5.94 % (984446)Instruction limit reached!
% 30.25/5.94 % (984446)------------------------------
% 30.25/5.94 % (984446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.25/5.94 % (984446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.25/5.94 % (984446)CaDiCaL version: 2.1.3
% 30.25/5.94 % (984446)Termination reason: Instruction limit
% 30.25/5.94 % (984446)Termination phase: Saturation
% 30.25/5.94 % (984446)Time elapsed: 1.447 s
% 30.25/5.94 % (984446)Peak memory usage: 225 MB
% 30.25/5.94 % (984446)Instructions burned: 2352 (million)
% 30.25/5.94 % (984471)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2310854861:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 30.25/5.94 % (984472)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3469566462:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 30.25/5.94 % (984471)Instruction limit reached!
% 30.25/5.94 % (984471)------------------------------
% 30.25/5.94 % (984471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.25/5.94 % (984471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.25/5.94 % (984471)CaDiCaL version: 2.1.3
% 30.25/5.94 % (984471)Termination reason: Instruction limit
% 30.25/5.94 % (984471)Termination phase: Preprocessing 3
% 30.25/5.94 % (984471)Time elapsed: 0.060 s
% 30.25/5.94 % (984471)Peak memory usage: 91 MB
% 30.25/5.94 % (984471)Instructions burned: 135 (million)
% 30.25/5.94 % (984472)Instruction limit reached!
% 30.25/5.94 % (984472)------------------------------
% 30.25/5.94 % (984472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.25/5.94 % (984472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.25/5.94 % (984472)CaDiCaL version: 2.1.3
% 30.25/5.94 % (984472)Termination reason: Instruction limit
% 30.25/5.94 % (984472)Termination phase: Saturation
% 30.25/5.94 % (984472)Time elapsed: 0.056 s
% 30.25/5.94 % (984472)Peak memory usage: 92 MB
% 30.25/5.94 % (984472)Instructions burned: 143 (million)
% 30.25/5.94 % (984475)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1422892302:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 30.25/5.94 % (984475)Refutation not found, incomplete strategy
% 30.25/5.94 % (984475)------------------------------
% 30.25/5.94 % (984475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.25/5.94 % (984475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.25/5.94 % (984475)CaDiCaL version: 2.1.3
% 30.25/5.94 % (984475)Termination reason: Refutation not found, incomplete strategy
% 30.25/5.94 % (984475)Time elapsed: 0.013 s
% 30.25/5.94 % (984475)Peak memory usage: 92 MB
% 30.25/5.94 % (984475)Instructions burned: 26 (million)
% 30.25/5.94 % (984476)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=2006267288:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 30.25/5.94 % (984475)------------------------------
% 30.25/5.94 % (984475)------------------------------
% 30.25/5.94 % (984479)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=803180080:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 30.25/5.94 % (984479)Instruction limit reached!
% 30.25/5.94 % (984479)------------------------------
% 30.25/5.94 % (984479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.25/5.94 % (984479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.25/5.94 % (984479)CaDiCaL version: 2.1.3
% 30.25/5.94 % (984479)Termination reason: Instruction limit
% 30.25/5.94 % (984479)Termination phase: Property scanning
% 30.25/5.94 % (984479)Time elapsed: 0.075 s
% 30.25/5.94 % (984479)Peak memory usage: 94 MB
% 30.25/5.94 % (984479)Instructions burned: 151 (million)
% 30.25/5.94 % (984481)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3129336688:i=14155:bd=all_2970 on theBenchmark for (2970ds/14155Mi)
% 30.25/5.94 % (984458)Instruction limit reached!
% 30.25/5.94 % (984458)------------------------------
% 30.25/5.94 % (984458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.25/5.94 % (984458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.25/5.94 % (984458)CaDiCaL version: 2.1.3
% 30.25/5.94 % (984458)Termination reason: Instruction limit
% 30.25/5.94 % (984458)Termination phase: Saturation
% 30.25/5.94 % (984458)Time elapsed: 2.918 s
% 30.25/5.94 % (984458)Peak memory usage: 195 MB
% 30.25/5.94 % (984458)Instructions burned: 5203 (million)
% 30.25/5.94 % (984483)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=52845258:i=667:av=off:fsr=off_2958 on theBenchmark for (2958ds/667Mi)
% 30.25/5.94 % (984483)Instruction limit reached!
% 30.25/5.94 % (984483)------------------------------
% 30.25/5.94 % (984483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.25/5.94 % (984483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.25/5.94 % (984483)CaDiCaL version: 2.1.3
% 30.25/5.94 % (984483)Termination reason: Instruction limit
% 30.25/5.94 % (984483)Termination phase: Saturation
% 30.25/5.94 % (984483)Time elapsed: 0.310 s
% 30.25/5.94 % (984483)Peak memory usage: 101 MB
% 30.25/5.94 % (984483)Instructions burned: 669 (million)
% 30.25/5.94 % (984485)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=1560951901:s2a=on:i=185:s2at=1.8:fdi=4_2954 on theBenchmark for (2954ds/185Mi)
% 30.25/5.94 % (984426)First to succeed.
% 30.25/5.94 % (984426)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-984419"
% 30.25/5.94 % (984485)Instruction limit reached!
% 30.25/5.94 % (984485)------------------------------
% 30.25/5.94 % (984485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.25/5.94 % (984485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.25/5.94 % (984485)CaDiCaL version: 2.1.3
% 30.25/5.94 % (984485)Termination reason: Instruction limit
% 30.25/5.94 % (984485)Termination phase: Property scanning
% 30.25/5.94 % (984485)Time elapsed: 0.103 s
% 30.25/5.94 % (984485)Peak memory usage: 94 MB
% 30.25/5.94 % (984485)Instructions burned: 186 (million)
% 30.25/5.94 % (984487)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2682330262:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2951 on theBenchmark for (2951ds/193Mi)
% 30.25/5.94 % (984487)Instruction limit reached!
% 30.25/5.94 % (984487)------------------------------
% 30.25/5.94 % (984487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.25/5.94 % (984487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.25/5.94 % (984487)CaDiCaL version: 2.1.3
% 30.25/5.94 % (984487)Termination reason: Instruction limit
% 30.25/5.94 % (984487)Termination phase: Saturation
% 30.25/5.94 % (984487)Time elapsed: 0.091 s
% 30.25/5.94 % (984487)Peak memory usage: 92 MB
% 30.25/5.94 % (984487)Instructions burned: 193 (million)
% 30.25/5.94 % (984426)Refutation found. Thanks to Tanya!
% 30.25/5.94 % SZS status Theorem for theBenchmark
% 30.25/5.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/6.14 % (984426)------------------------------
% 0.15/6.14 % (984426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/6.14 % (984426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/6.14 % (984426)CaDiCaL version: 2.1.3
% 0.15/6.14 % (984426)Termination reason: Refutation
% 0.15/6.14 % (984426)Time elapsed: 4.475 s
% 0.15/6.14 % (984426)Peak memory usage: 216 MB
% 0.15/6.14 % (984426)Instructions burned: 7993 (million)
% 0.15/6.14 % (984426)------------------------------
% 0.15/6.14 % (984426)------------------------------
% 0.15/6.14 % (984419)Success in time 5.089 s
% 0.15/6.14 % Vampire exiting
%------------------------------------------------------------------------------