%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW477+7 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 01:30:37 PM UTC 2026
% Result : Theorem 11.92s 3.20s
% Output : Refutation 12.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 42
% Syntax : Number of formulae : 198 ( 98 unt; 37 def)
% Number of atoms : 443 ( 197 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 375 ( 130 ~; 192 |; 44 &)
% ( 8 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-4 aty)
% Number of functors : 62 ( 62 usr; 46 con; 0-4 aty)
% Number of variables : 179 ( 0 sgn 155 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f155,axiom,
hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),ha),e),ea),nt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__096P_ME_Mh_A_092_060turnstile_062_Ae_A_058_ANT_096) ).
fof(f156,axiom,
! [X0] :
( hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),ha),e),ea),X0))
=> ? [X1] :
( hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),h_a),e),e_a),X1))
& hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(ty,fun(ty,bool)),widen(product_prod(list(list(char)),exp(list(char)))),p),X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__096_B_BT_O_AP_ME_Mh_A_092_060turnstile_062_Ae_A_058_AT_A_061_061_062_AEX) ).
fof(f735,axiom,
! [X0] : hAPP(list(char),ty,class,X0) != nt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_580_ty_Osimps_I21_J) ).
fof(f761,axiom,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),fun(ty,fun(ty,bool)),widen(X0),X1),X2),X3))
<=> ( ? [X4] :
( X2 = X4
& X3 = X4 )
| ? [X5,X6] :
( X2 = hAPP(list(char),ty,class,X5)
& X3 = hAPP(list(char),ty,class,X6)
& hBOOL(hAPP(fun(product_prod(list(char),list(char)),bool),bool,hAPP(product_prod(list(char),list(char)),fun(fun(product_prod(list(char),list(char)),bool),bool),member(product_prod(list(char),list(char))),hAPP(list(char),product_prod(list(char),list(char)),hAPP(list(char),fun(list(char),product_prod(list(char),list(char))),product_Pair(list(char),list(char)),X5),X6)),hAPP(fun(product_prod(list(char),list(char)),bool),fun(product_prod(list(char),list(char)),bool),transitive_rtrancl(list(char)),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),fun(product_prod(list(char),list(char)),bool),subcls1(X0),X1)))) )
| ? [X5] :
( X2 = nt
& X3 = hAPP(list(char),ty,class,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_606_widen_Osimps) ).
fof(f1180,conjecture,
hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),h_a),e),e_a),nt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1181,negated_conjecture,
~ hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),h_a),e),e_a),nt)),
inference(negated_conjecture,[status(cth)],[f1180]) ).
fof(f1186,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),fun(ty,fun(ty,bool)),widen(X0),X1),X2),X3))
<=> ( ? [X4] :
( X2 = X4
& X3 = X4 )
| ? [X5,X6] :
( X2 = hAPP(list(char),ty,class,X5)
& X3 = hAPP(list(char),ty,class,X6)
& hBOOL(hAPP(fun(product_prod(list(char),list(char)),bool),bool,hAPP(product_prod(list(char),list(char)),fun(fun(product_prod(list(char),list(char)),bool),bool),member(product_prod(list(char),list(char))),hAPP(list(char),product_prod(list(char),list(char)),hAPP(list(char),fun(list(char),product_prod(list(char),list(char))),product_Pair(list(char),list(char)),X5),X6)),hAPP(fun(product_prod(list(char),list(char)),bool),fun(product_prod(list(char),list(char)),bool),transitive_rtrancl(list(char)),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),fun(product_prod(list(char),list(char)),bool),subcls1(X0),X1)))) )
| ? [X7] :
( X2 = nt
& hAPP(list(char),ty,class,X7) = X3 ) ) ),
inference(rectify,[],[f761]) ).
fof(f1191,plain,
~ hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),h_a),e),e_a),nt)),
inference(flattening,[],[f1181]) ).
fof(f1193,plain,
! [X0] :
( ? [X1] :
( hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),h_a),e),e_a),X1))
& hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(ty,fun(ty,bool)),widen(product_prod(list(list(char)),exp(list(char)))),p),X1),X0)) )
| ~ hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),ha),e),ea),X0)) ),
inference(ennf_transformation,[],[f156]) ).
fof(f1977,definition,
! [X2,X3,X1,X0] :
( sP4(X2,X3,X1,X0)
<=> ? [X5,X6] :
( X2 = hAPP(list(char),ty,class,X5)
& X3 = hAPP(list(char),ty,class,X6)
& hBOOL(hAPP(fun(product_prod(list(char),list(char)),bool),bool,hAPP(product_prod(list(char),list(char)),fun(fun(product_prod(list(char),list(char)),bool),bool),member(product_prod(list(char),list(char))),hAPP(list(char),product_prod(list(char),list(char)),hAPP(list(char),fun(list(char),product_prod(list(char),list(char))),product_Pair(list(char),list(char)),X5),X6)),hAPP(fun(product_prod(list(char),list(char)),bool),fun(product_prod(list(char),list(char)),bool),transitive_rtrancl(list(char)),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),fun(product_prod(list(char),list(char)),bool),subcls1(X0),X1)))) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f1978,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),fun(ty,fun(ty,bool)),widen(X0),X1),X2),X3))
<=> ( ? [X4] :
( X2 = X4
& X3 = X4 )
| sP4(X2,X3,X1,X0)
| ? [X7] :
( X2 = nt
& hAPP(list(char),ty,class,X7) = X3 ) ) ),
inference(definition_folding,[],[f1186,f1977]) ).
fof(f1982,plain,
! [X0] :
( ( hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),h_a),e),e_a),sK6(X0)))
& hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(ty,fun(ty,bool)),widen(product_prod(list(list(char)),exp(list(char)))),p),sK6(X0)),X0)) )
| ~ hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),ha),e),ea),X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f1193]) ).
fof(f2135,plain,
! [X2,X3,X1,X0] :
( ( sP4(X2,X3,X1,X0)
| ! [X5,X6] :
( hAPP(list(char),ty,class,X5) != X2
| hAPP(list(char),ty,class,X6) != X3
| ~ hBOOL(hAPP(fun(product_prod(list(char),list(char)),bool),bool,hAPP(product_prod(list(char),list(char)),fun(fun(product_prod(list(char),list(char)),bool),bool),member(product_prod(list(char),list(char))),hAPP(list(char),product_prod(list(char),list(char)),hAPP(list(char),fun(list(char),product_prod(list(char),list(char))),product_Pair(list(char),list(char)),X5),X6)),hAPP(fun(product_prod(list(char),list(char)),bool),fun(product_prod(list(char),list(char)),bool),transitive_rtrancl(list(char)),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),fun(product_prod(list(char),list(char)),bool),subcls1(X0),X1)))) ) )
& ( ? [X5,X6] :
( X2 = hAPP(list(char),ty,class,X5)
& X3 = hAPP(list(char),ty,class,X6)
& hBOOL(hAPP(fun(product_prod(list(char),list(char)),bool),bool,hAPP(product_prod(list(char),list(char)),fun(fun(product_prod(list(char),list(char)),bool),bool),member(product_prod(list(char),list(char))),hAPP(list(char),product_prod(list(char),list(char)),hAPP(list(char),fun(list(char),product_prod(list(char),list(char))),product_Pair(list(char),list(char)),X5),X6)),hAPP(fun(product_prod(list(char),list(char)),bool),fun(product_prod(list(char),list(char)),bool),transitive_rtrancl(list(char)),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),fun(product_prod(list(char),list(char)),bool),subcls1(X0),X1)))) )
| ~ sP4(X2,X3,X1,X0) ) ),
inference(nnf_transformation,[],[f1977]) ).
fof(f2136,plain,
! [X0,X1,X2,X3] :
( ( sP4(X0,X1,X2,X3)
| ! [X4,X5] :
( hAPP(list(char),ty,class,X4) != X0
| hAPP(list(char),ty,class,X5) != X1
| ~ hBOOL(hAPP(fun(product_prod(list(char),list(char)),bool),bool,hAPP(product_prod(list(char),list(char)),fun(fun(product_prod(list(char),list(char)),bool),bool),member(product_prod(list(char),list(char))),hAPP(list(char),product_prod(list(char),list(char)),hAPP(list(char),fun(list(char),product_prod(list(char),list(char))),product_Pair(list(char),list(char)),X4),X5)),hAPP(fun(product_prod(list(char),list(char)),bool),fun(product_prod(list(char),list(char)),bool),transitive_rtrancl(list(char)),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X3)))))))),fun(product_prod(list(char),list(char)),bool),subcls1(X3),X2)))) ) )
& ( ? [X6,X7] :
( hAPP(list(char),ty,class,X6) = X0
& hAPP(list(char),ty,class,X7) = X1
& hBOOL(hAPP(fun(product_prod(list(char),list(char)),bool),bool,hAPP(product_prod(list(char),list(char)),fun(fun(product_prod(list(char),list(char)),bool),bool),member(product_prod(list(char),list(char))),hAPP(list(char),product_prod(list(char),list(char)),hAPP(list(char),fun(list(char),product_prod(list(char),list(char))),product_Pair(list(char),list(char)),X6),X7)),hAPP(fun(product_prod(list(char),list(char)),bool),fun(product_prod(list(char),list(char)),bool),transitive_rtrancl(list(char)),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X3)))))))),fun(product_prod(list(char),list(char)),bool),subcls1(X3),X2)))) )
| ~ sP4(X0,X1,X2,X3) ) ),
inference(rectify,[],[f2135]) ).
fof(f2137,plain,
! [X0,X1,X2,X3] :
( ( sP4(X0,X1,X2,X3)
| ! [X4,X5] :
( hAPP(list(char),ty,class,X4) != X0
| hAPP(list(char),ty,class,X5) != X1
| ~ hBOOL(hAPP(fun(product_prod(list(char),list(char)),bool),bool,hAPP(product_prod(list(char),list(char)),fun(fun(product_prod(list(char),list(char)),bool),bool),member(product_prod(list(char),list(char))),hAPP(list(char),product_prod(list(char),list(char)),hAPP(list(char),fun(list(char),product_prod(list(char),list(char))),product_Pair(list(char),list(char)),X4),X5)),hAPP(fun(product_prod(list(char),list(char)),bool),fun(product_prod(list(char),list(char)),bool),transitive_rtrancl(list(char)),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X3)))))))),fun(product_prod(list(char),list(char)),bool),subcls1(X3),X2)))) ) )
& ( ( hAPP(list(char),ty,class,sK150(X0,X1,X2,X3)) = X0
& hAPP(list(char),ty,class,sK151(X0,X1,X2,X3)) = X1
& hBOOL(hAPP(fun(product_prod(list(char),list(char)),bool),bool,hAPP(product_prod(list(char),list(char)),fun(fun(product_prod(list(char),list(char)),bool),bool),member(product_prod(list(char),list(char))),hAPP(list(char),product_prod(list(char),list(char)),hAPP(list(char),fun(list(char),product_prod(list(char),list(char))),product_Pair(list(char),list(char)),sK150(X0,X1,X2,X3)),sK151(X0,X1,X2,X3))),hAPP(fun(product_prod(list(char),list(char)),bool),fun(product_prod(list(char),list(char)),bool),transitive_rtrancl(list(char)),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X3)))))))),fun(product_prod(list(char),list(char)),bool),subcls1(X3),X2)))) )
| ~ sP4(X0,X1,X2,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK150,sK151]),skolemize(X6,sK150(X0,X1,X2,X3)),skolemize(X7,sK151(X0,X1,X2,X3))],[f2136]) ).
fof(f2138,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),fun(ty,fun(ty,bool)),widen(X0),X1),X2),X3))
| ( ! [X4] :
( X2 != X4
| X3 != X4 )
& ~ sP4(X2,X3,X1,X0)
& ! [X7] :
( nt != X2
| hAPP(list(char),ty,class,X7) != X3 ) ) )
& ( ? [X4] :
( X2 = X4
& X3 = X4 )
| sP4(X2,X3,X1,X0)
| ? [X7] :
( X2 = nt
& hAPP(list(char),ty,class,X7) = X3 )
| ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),fun(ty,fun(ty,bool)),widen(X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f1978]) ).
fof(f2139,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),fun(ty,fun(ty,bool)),widen(X0),X1),X2),X3))
| ( ! [X4] :
( X2 != X4
| X3 != X4 )
& ~ sP4(X2,X3,X1,X0)
& ! [X7] :
( nt != X2
| hAPP(list(char),ty,class,X7) != X3 ) ) )
& ( ? [X4] :
( X2 = X4
& X3 = X4 )
| sP4(X2,X3,X1,X0)
| ? [X7] :
( X2 = nt
& hAPP(list(char),ty,class,X7) = X3 )
| ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),fun(ty,fun(ty,bool)),widen(X0),X1),X2),X3)) ) ),
inference(flattening,[],[f2138]) ).
fof(f2140,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),fun(ty,fun(ty,bool)),widen(X0),X1),X2),X3))
| ( ! [X4] :
( X2 != X4
| X3 != X4 )
& ~ sP4(X2,X3,X1,X0)
& ! [X5] :
( nt != X2
| hAPP(list(char),ty,class,X5) != X3 ) ) )
& ( ? [X6] :
( X2 = X6
& X3 = X6 )
| sP4(X2,X3,X1,X0)
| ? [X7] :
( X2 = nt
& hAPP(list(char),ty,class,X7) = X3 )
| ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),fun(ty,fun(ty,bool)),widen(X0),X1),X2),X3)) ) ),
inference(rectify,[],[f2139]) ).
fof(f2141,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),fun(ty,fun(ty,bool)),widen(X0),X1),X2),X3))
| ( ! [X4] :
( X2 != X4
| X3 != X4 )
& ~ sP4(X2,X3,X1,X0)
& ! [X5] :
( nt != X2
| hAPP(list(char),ty,class,X5) != X3 ) ) )
& ( ( sK152(X2,X3) = X2
& sK152(X2,X3) = X3 )
| sP4(X2,X3,X1,X0)
| ( X2 = nt
& hAPP(list(char),ty,class,sK153(X2,X3)) = X3 )
| ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),fun(ty,fun(ty,bool)),widen(X0),X1),X2),X3)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK152,sK153]),skolemize(X6,sK152(X2,X3)),skolemize(X7,sK153(X2,X3))],[f2140]) ).
fof(f2476,plain,
hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),ha),e),ea),nt)),
inference(cnf_transformation,[],[f155]) ).
fof(f2477,plain,
! [X0] :
( ~ hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),ha),e),ea),X0))
| hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(ty,fun(ty,bool)),widen(product_prod(list(list(char)),exp(list(char)))),p),sK6(X0)),X0)) ),
inference(cnf_transformation,[],[f1982]) ).
fof(f2478,plain,
! [X0] :
( hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),h_a),e),e_a),sK6(X0)))
| ~ hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),ha),e),ea),X0)) ),
inference(cnf_transformation,[],[f1982]) ).
fof(f3240,plain,
! [X0] : nt != hAPP(list(char),ty,class,X0),
inference(cnf_transformation,[],[f735]) ).
fof(f3279,plain,
! [X2,X3,X0,X1] :
( ~ sP4(X0,X1,X2,X3)
| hAPP(list(char),ty,class,sK151(X0,X1,X2,X3)) = X1 ),
inference(cnf_transformation,[],[f2137]) ).
fof(f3283,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),fun(ty,fun(ty,bool)),widen(X0),X1),X2),X3))
| sP4(X2,X3,X1,X0)
| nt = X2
| sK152(X2,X3) = X3 ),
inference(cnf_transformation,[],[f2141]) ).
fof(f3285,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,X0)))))))),fun(ty,fun(ty,bool)),widen(X0),X1),X2),X3))
| sP4(X2,X3,X1,X0)
| nt = X2
| sK152(X2,X3) = X2 ),
inference(cnf_transformation,[],[f2141]) ).
fof(f3893,plain,
~ hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),h_a),e),e_a),nt)),
inference(cnf_transformation,[],[f1191]) ).
fof(f4365,definition,
sF276 = list(char),
introduced(definition,[new_symbols(definition,[sF276])],[function_definition]) ).
fof(f4366,plain,
list(char) = sF276,
inference(reorient_equations,[],[f4365]) ).
fof(f4367,definition,
sF277 = exp(sF276),
introduced(definition,[new_symbols(definition,[sF277])],[function_definition]) ).
fof(f4368,plain,
exp(sF276) = sF277,
inference(reorient_equations,[],[f4367]) ).
fof(f4369,definition,
sF278 = fun(ty,bool),
introduced(definition,[new_symbols(definition,[sF278])],[function_definition]) ).
fof(f4370,plain,
fun(ty,bool) = sF278,
inference(reorient_equations,[],[f4369]) ).
fof(f4371,definition,
sF279 = option(ty),
introduced(definition,[new_symbols(definition,[sF279])],[function_definition]) ).
fof(f4372,plain,
option(ty) = sF279,
inference(reorient_equations,[],[f4371]) ).
fof(f4373,definition,
sF280 = fun(sF276,sF279),
introduced(definition,[new_symbols(definition,[sF280])],[function_definition]) ).
fof(f4374,plain,
fun(sF276,sF279) = sF280,
inference(reorient_equations,[],[f4373]) ).
fof(f4375,definition,
sF281 = fun(sF277,sF278),
introduced(definition,[new_symbols(definition,[sF281])],[function_definition]) ).
fof(f4376,plain,
fun(sF277,sF278) = sF281,
inference(reorient_equations,[],[f4375]) ).
fof(f4377,definition,
sF282 = product_prod(sF276,sF276),
introduced(definition,[new_symbols(definition,[sF282])],[function_definition]) ).
fof(f4378,plain,
product_prod(sF276,sF276) = sF282,
inference(reorient_equations,[],[f4377]) ).
fof(f4379,definition,
sF283 = option(val),
introduced(definition,[new_symbols(definition,[sF283])],[function_definition]) ).
fof(f4380,plain,
option(val) = sF283,
inference(reorient_equations,[],[f4379]) ).
fof(f4381,definition,
sF284 = fun(sF282,sF283),
introduced(definition,[new_symbols(definition,[sF284])],[function_definition]) ).
fof(f4382,plain,
fun(sF282,sF283) = sF284,
inference(reorient_equations,[],[f4381]) ).
fof(f4383,definition,
sF285 = product_prod(sF276,sF284),
introduced(definition,[new_symbols(definition,[sF285])],[function_definition]) ).
fof(f4384,plain,
product_prod(sF276,sF284) = sF285,
inference(reorient_equations,[],[f4383]) ).
fof(f4385,definition,
sF286 = option(sF285),
introduced(definition,[new_symbols(definition,[sF286])],[function_definition]) ).
fof(f4386,plain,
option(sF285) = sF286,
inference(reorient_equations,[],[f4385]) ).
fof(f4387,definition,
sF287 = fun(nat,sF286),
introduced(definition,[new_symbols(definition,[sF287])],[function_definition]) ).
fof(f4388,plain,
fun(nat,sF286) = sF287,
inference(reorient_equations,[],[f4387]) ).
fof(f4389,definition,
sF288 = fun(sF280,sF281),
introduced(definition,[new_symbols(definition,[sF288])],[function_definition]) ).
fof(f4390,plain,
fun(sF280,sF281) = sF288,
inference(reorient_equations,[],[f4389]) ).
fof(f4391,definition,
sF289 = product_prod(sF276,ty),
introduced(definition,[new_symbols(definition,[sF289])],[function_definition]) ).
fof(f4392,plain,
product_prod(sF276,ty) = sF289,
inference(reorient_equations,[],[f4391]) ).
fof(f4393,definition,
sF290 = list(sF289),
introduced(definition,[new_symbols(definition,[sF290])],[function_definition]) ).
fof(f4394,plain,
list(sF289) = sF290,
inference(reorient_equations,[],[f4393]) ).
fof(f4395,definition,
sF291 = list(ty),
introduced(definition,[new_symbols(definition,[sF291])],[function_definition]) ).
fof(f4396,plain,
list(ty) = sF291,
inference(reorient_equations,[],[f4395]) ).
fof(f4397,definition,
sF292 = list(sF276),
introduced(definition,[new_symbols(definition,[sF292])],[function_definition]) ).
fof(f4398,plain,
list(sF276) = sF292,
inference(reorient_equations,[],[f4397]) ).
fof(f4399,definition,
sF293 = product_prod(sF292,sF277),
introduced(definition,[new_symbols(definition,[sF293])],[function_definition]) ).
fof(f4400,plain,
product_prod(sF292,sF277) = sF293,
inference(reorient_equations,[],[f4399]) ).
fof(f4401,definition,
sF294 = product_prod(ty,sF293),
introduced(definition,[new_symbols(definition,[sF294])],[function_definition]) ).
fof(f4402,plain,
product_prod(ty,sF293) = sF294,
inference(reorient_equations,[],[f4401]) ).
fof(f4403,definition,
sF295 = product_prod(sF291,sF294),
introduced(definition,[new_symbols(definition,[sF295])],[function_definition]) ).
fof(f4404,plain,
product_prod(sF291,sF294) = sF295,
inference(reorient_equations,[],[f4403]) ).
fof(f4405,definition,
sF296 = product_prod(sF276,sF295),
introduced(definition,[new_symbols(definition,[sF296])],[function_definition]) ).
fof(f4406,plain,
product_prod(sF276,sF295) = sF296,
inference(reorient_equations,[],[f4405]) ).
fof(f4407,definition,
sF297 = list(sF296),
introduced(definition,[new_symbols(definition,[sF297])],[function_definition]) ).
fof(f4408,plain,
list(sF296) = sF297,
inference(reorient_equations,[],[f4407]) ).
fof(f4409,definition,
sF298 = product_prod(sF290,sF297),
introduced(definition,[new_symbols(definition,[sF298])],[function_definition]) ).
fof(f4410,plain,
product_prod(sF290,sF297) = sF298,
inference(reorient_equations,[],[f4409]) ).
fof(f4411,definition,
sF299 = product_prod(sF276,sF298),
introduced(definition,[new_symbols(definition,[sF299])],[function_definition]) ).
fof(f4412,plain,
product_prod(sF276,sF298) = sF299,
inference(reorient_equations,[],[f4411]) ).
fof(f4413,definition,
sF300 = product_prod(sF276,sF299),
introduced(definition,[new_symbols(definition,[sF300])],[function_definition]) ).
fof(f4414,plain,
product_prod(sF276,sF299) = sF300,
inference(reorient_equations,[],[f4413]) ).
fof(f4415,definition,
sF301 = list(sF300),
introduced(definition,[new_symbols(definition,[sF301])],[function_definition]) ).
fof(f4416,plain,
list(sF300) = sF301,
inference(reorient_equations,[],[f4415]) ).
fof(f4417,definition,
sF302 = fun(sF287,sF288),
introduced(definition,[new_symbols(definition,[sF302])],[function_definition]) ).
fof(f4418,plain,
fun(sF287,sF288) = sF302,
inference(reorient_equations,[],[f4417]) ).
fof(f4419,definition,
sF303 = hAPP(sF301,sF302,wTrt,p),
introduced(definition,[new_symbols(definition,[sF303])],[function_definition]) ).
fof(f4420,plain,
hAPP(sF301,sF302,wTrt,p) = sF303,
inference(reorient_equations,[],[f4419]) ).
fof(f4421,definition,
sF304 = hAPP(sF287,sF288,sF303,h_a),
introduced(definition,[new_symbols(definition,[sF304])],[function_definition]) ).
fof(f4422,plain,
hAPP(sF287,sF288,sF303,h_a) = sF304,
inference(reorient_equations,[],[f4421]) ).
fof(f4423,definition,
sF305 = hAPP(sF280,sF281,sF304,e),
introduced(definition,[new_symbols(definition,[sF305])],[function_definition]) ).
fof(f4424,plain,
hAPP(sF280,sF281,sF304,e) = sF305,
inference(reorient_equations,[],[f4423]) ).
fof(f4425,definition,
sF306 = hAPP(sF277,sF278,sF305,e_a),
introduced(definition,[new_symbols(definition,[sF306])],[function_definition]) ).
fof(f4426,plain,
hAPP(sF277,sF278,sF305,e_a) = sF306,
inference(reorient_equations,[],[f4425]) ).
fof(f4427,definition,
sF307 = hAPP(ty,bool,sF306,nt),
introduced(definition,[new_symbols(definition,[sF307])],[function_definition]) ).
fof(f4428,plain,
hAPP(ty,bool,sF306,nt) = sF307,
inference(reorient_equations,[],[f4427]) ).
fof(f4429,plain,
~ hBOOL(sF307),
inference(definition_folding,[],[f3893,f4428,f4426,f4424,f4422,f4420,f4418,f4390,f4376,f4370,f4368,f4366,f4374,f4372,f4366,f4388,f4386,f4384,f4382,f4380,f4378,f4366,f4366,f4366,f4416,f4414,f4412,f4410,f4408,f4406,f4404,f4402,f4400,f4368,f4366,f4398,f4366,f4396,f4366,f4394,f4392,f4366,f4366,f4366,f4390,f4376,f4370,f4368,f4366,f4374,f4372,f4366,f4388,f4386,f4384,f4382,f4380,f4378,f4366,f4366,f4366,f4376,f4370,f4368,f4366,f4374,f4372,f4366,f4370,f4368,f4366]) ).
fof(f6159,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),sF294))))))),fun(ty,fun(ty,bool)),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X1 ),
inference(superposition,[],[f3285,f4402]) ).
fof(f6162,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),sF294))))))),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X1 ),
inference(forward_demodulation,[],[f6159,f4370]) ).
fof(f6166,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(sF291,sF294))))))),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X1 ),
inference(forward_demodulation,[],[f6162,f4396]) ).
fof(f6170,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),sF295)))))),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X1 ),
inference(forward_demodulation,[],[f6166,f4404]) ).
fof(f6174,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,sF295)))))),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X1 ),
inference(forward_demodulation,[],[f6170,f4366]) ).
fof(f6177,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(sF296))))),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X1 ),
inference(forward_demodulation,[],[f6174,f4406]) ).
fof(f6178,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),sF297)))),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X1 ),
inference(forward_demodulation,[],[f6177,f4408]) ).
fof(f6179,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(sF289),sF297)))),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X1 ),
inference(forward_demodulation,[],[f6178,f4392]) ).
fof(f6180,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(sF290,sF297)))),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X1 ),
inference(forward_demodulation,[],[f6179,f4394]) ).
fof(f6181,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,sF298))),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X1 ),
inference(forward_demodulation,[],[f6180,f4410]) ).
fof(f6182,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,sF299)),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X1 ),
inference(forward_demodulation,[],[f6181,f4412]) ).
fof(f6183,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(sF300),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X1 ),
inference(forward_demodulation,[],[f6182,f4414]) ).
fof(f6184,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(sF301,fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X1 ),
inference(forward_demodulation,[],[f6183,f4416]) ).
fof(f6195,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),sF294))))))),fun(ty,fun(ty,bool)),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X2 ),
inference(superposition,[],[f3283,f4402]) ).
fof(f6198,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),sF294))))))),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X2 ),
inference(forward_demodulation,[],[f6195,f4370]) ).
fof(f6202,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(sF291,sF294))))))),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X2 ),
inference(forward_demodulation,[],[f6198,f4396]) ).
fof(f6206,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),sF295)))))),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X2 ),
inference(forward_demodulation,[],[f6202,f4404]) ).
fof(f6210,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,sF295)))))),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X2 ),
inference(forward_demodulation,[],[f6206,f4366]) ).
fof(f6213,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(sF296))))),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X2 ),
inference(forward_demodulation,[],[f6210,f4406]) ).
fof(f6214,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),sF297)))),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X2 ),
inference(forward_demodulation,[],[f6213,f4408]) ).
fof(f6215,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(sF289),sF297)))),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X2 ),
inference(forward_demodulation,[],[f6214,f4392]) ).
fof(f6216,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(sF290,sF297)))),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X2 ),
inference(forward_demodulation,[],[f6215,f4394]) ).
fof(f6217,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,sF298))),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X2 ),
inference(forward_demodulation,[],[f6216,f4410]) ).
fof(f6218,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,sF299)),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X2 ),
inference(forward_demodulation,[],[f6217,f4412]) ).
fof(f6219,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(sF300),fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X2 ),
inference(forward_demodulation,[],[f6218,f4414]) ).
fof(f6220,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(sF301,fun(ty,sF278),widen(sF293),X0),X1),X2))
| sP4(X1,X2,X0,sF293)
| nt = X1
| sK152(X1,X2) = X2 ),
inference(forward_demodulation,[],[f6219,f4416]) ).
fof(f7011,plain,
hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(ty,fun(ty,bool)),widen(product_prod(list(list(char)),exp(list(char)))),p),sK6(nt)),nt)),
inference(resolution,[],[f2477,f2476]) ).
fof(f7022,plain,
hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),product_prod(ty,product_prod(list(sF276),exp(sF276)))))))))),fun(ty,fun(ty,bool)),widen(product_prod(list(sF276),exp(sF276))),p),sK6(nt)),nt)),
inference(forward_demodulation,[],[f7011,f4366]) ).
fof(f7028,plain,
hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),product_prod(ty,product_prod(list(sF276),sF277))))))))),fun(ty,fun(ty,bool)),widen(product_prod(list(sF276),sF277)),p),sK6(nt)),nt)),
inference(forward_demodulation,[],[f7022,f4368]) ).
fof(f7034,plain,
hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),product_prod(ty,product_prod(sF292,sF277))))))))),fun(ty,fun(ty,bool)),widen(product_prod(sF292,sF277)),p),sK6(nt)),nt)),
inference(forward_demodulation,[],[f7028,f4398]) ).
fof(f7040,plain,
hBOOL(hAPP(ty,bool,hAPP(ty,fun(ty,bool),hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),product_prod(ty,sF293)))))))),fun(ty,fun(ty,bool)),widen(sF293),p),sK6(nt)),nt)),
inference(forward_demodulation,[],[f7034,f4400]) ).
fof(f7046,plain,
hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),product_prod(ty,sF293)))))))),fun(ty,sF278),widen(sF293),p),sK6(nt)),nt)),
inference(forward_demodulation,[],[f7040,f4370]) ).
fof(f7052,plain,
hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),sF294))))))),fun(ty,sF278),widen(sF293),p),sK6(nt)),nt)),
inference(forward_demodulation,[],[f7046,f4402]) ).
fof(f7058,plain,
hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(sF291,sF294))))))),fun(ty,sF278),widen(sF293),p),sK6(nt)),nt)),
inference(forward_demodulation,[],[f7052,f4396]) ).
fof(f7064,plain,
hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,sF295)))))),fun(ty,sF278),widen(sF293),p),sK6(nt)),nt)),
inference(forward_demodulation,[],[f7058,f4404]) ).
fof(f7070,plain,
hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(sF296))))),fun(ty,sF278),widen(sF293),p),sK6(nt)),nt)),
inference(forward_demodulation,[],[f7064,f4406]) ).
fof(f7076,plain,
hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),sF297)))),fun(ty,sF278),widen(sF293),p),sK6(nt)),nt)),
inference(forward_demodulation,[],[f7070,f4408]) ).
fof(f7082,plain,
hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(sF289),sF297)))),fun(ty,sF278),widen(sF293),p),sK6(nt)),nt)),
inference(forward_demodulation,[],[f7076,f4392]) ).
fof(f7088,plain,
hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(sF290,sF297)))),fun(ty,sF278),widen(sF293),p),sK6(nt)),nt)),
inference(forward_demodulation,[],[f7082,f4394]) ).
fof(f7094,plain,
hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,product_prod(sF276,sF298))),fun(ty,sF278),widen(sF293),p),sK6(nt)),nt)),
inference(forward_demodulation,[],[f7088,f4410]) ).
fof(f7100,plain,
hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(product_prod(sF276,sF299)),fun(ty,sF278),widen(sF293),p),sK6(nt)),nt)),
inference(forward_demodulation,[],[f7094,f4412]) ).
fof(f7106,plain,
hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(list(sF300),fun(ty,sF278),widen(sF293),p),sK6(nt)),nt)),
inference(forward_demodulation,[],[f7100,f4414]) ).
fof(f7112,plain,
hBOOL(hAPP(ty,bool,hAPP(ty,sF278,hAPP(sF301,fun(ty,sF278),widen(sF293),p),sK6(nt)),nt)),
inference(forward_demodulation,[],[f7106,f4416]) ).
fof(f7248,plain,
( sP4(sK6(nt),nt,p,sF293)
| nt = sK6(nt)
| nt = sK152(sK6(nt),nt) ),
inference(resolution,[],[f7112,f6220]) ).
fof(f7249,plain,
( sP4(sK6(nt),nt,p,sF293)
| nt = sK6(nt)
| sK6(nt) = sK152(sK6(nt),nt) ),
inference(resolution,[],[f7112,f6184]) ).
fof(f7251,definition,
( spl308_1
<=> sK6(nt) = sK152(sK6(nt),nt) ),
introduced(definition,[new_symbols(definition,[spl308_1])],[avatar_definition]) ).
fof(f7253,plain,
( sK6(nt) = sK152(sK6(nt),nt)
| ~ spl308_1 ),
inference(avatar_component_clause,[],[f7251]) ).
fof(f7255,definition,
( spl308_2
<=> nt = sK6(nt) ),
introduced(definition,[new_symbols(definition,[spl308_2])],[avatar_definition]) ).
fof(f7257,plain,
( nt = sK6(nt)
| ~ spl308_2 ),
inference(avatar_component_clause,[],[f7255]) ).
fof(f7259,definition,
( spl308_3
<=> sP4(sK6(nt),nt,p,sF293) ),
introduced(definition,[new_symbols(definition,[spl308_3])],[avatar_definition]) ).
fof(f7261,plain,
( sP4(sK6(nt),nt,p,sF293)
| ~ spl308_3 ),
inference(avatar_component_clause,[],[f7259]) ).
fof(f7262,plain,
( spl308_1
| spl308_2
| spl308_3 ),
inference(avatar_split_clause,[],[f7249,f7259,f7255,f7251]) ).
fof(f7264,definition,
( spl308_4
<=> nt = sK152(sK6(nt),nt) ),
introduced(definition,[new_symbols(definition,[spl308_4])],[avatar_definition]) ).
fof(f7266,plain,
( nt = sK152(sK6(nt),nt)
| ~ spl308_4 ),
inference(avatar_component_clause,[],[f7264]) ).
fof(f7267,plain,
( spl308_4
| spl308_2
| spl308_3 ),
inference(avatar_split_clause,[],[f7248,f7259,f7255,f7264]) ).
fof(f7275,plain,
( nt = hAPP(list(char),ty,class,sK151(sK6(nt),nt,p,sF293))
| ~ spl308_3 ),
inference(resolution,[],[f7261,f3279]) ).
fof(f7276,plain,
( $false
| ~ spl308_3 ),
inference(forward_subsumption_resolution,[],[f7275,f3240]) ).
fof(f7277,plain,
~ spl308_3,
inference(avatar_contradiction_clause,[],[f7276]) ).
fof(f7279,plain,
( nt = sK6(nt)
| ~ spl308_1
| ~ spl308_4 ),
inference(forward_demodulation,[],[f7266,f7253]) ).
fof(f7280,plain,
( spl308_2
| ~ spl308_1
| ~ spl308_4 ),
inference(avatar_split_clause,[],[f7279,f7264,f7251,f7255]) ).
fof(f7285,plain,
( hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),h_a),e),e_a),nt))
| ~ hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),ha),e),ea),nt))
| ~ spl308_2 ),
inference(superposition,[],[f2478,f7257]) ).
fof(f7286,plain,
( hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),fun(ty,bool),hAPP(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool))),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),fun(ty,bool)))),wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_subsumption_resolution,[],[f7285,f2476]) ).
fof(f7288,plain,
( hBOOL(hAPP(ty,bool,hAPP(exp(list(char)),sF278,hAPP(fun(list(char),option(ty)),fun(exp(list(char)),sF278),hAPP(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),sF278)),hAPP(list(product_prod(list(char),product_prod(list(char),product_prod(list(product_prod(list(char),ty)),list(product_prod(list(char),product_prod(list(ty),product_prod(ty,product_prod(list(list(char)),exp(list(char))))))))))),fun(fun(nat,option(product_prod(list(char),fun(product_prod(list(char),list(char)),option(val))))),fun(fun(list(char),option(ty)),fun(exp(list(char)),sF278))),wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7286,f4370]) ).
fof(f7291,plain,
( hBOOL(hAPP(ty,bool,hAPP(exp(sF276),sF278,hAPP(fun(sF276,option(ty)),fun(exp(sF276),sF278),hAPP(fun(nat,option(product_prod(sF276,fun(product_prod(sF276,sF276),option(val))))),fun(fun(sF276,option(ty)),fun(exp(sF276),sF278)),hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),product_prod(ty,product_prod(list(sF276),exp(sF276)))))))))),fun(fun(nat,option(product_prod(sF276,fun(product_prod(sF276,sF276),option(val))))),fun(fun(sF276,option(ty)),fun(exp(sF276),sF278))),wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7288,f4366]) ).
fof(f7292,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(fun(sF276,option(ty)),fun(sF277,sF278),hAPP(fun(nat,option(product_prod(sF276,fun(product_prod(sF276,sF276),option(val))))),fun(fun(sF276,option(ty)),fun(sF277,sF278)),hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),product_prod(ty,product_prod(list(sF276),sF277))))))))),fun(fun(nat,option(product_prod(sF276,fun(product_prod(sF276,sF276),option(val))))),fun(fun(sF276,option(ty)),fun(sF277,sF278))),wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7291,f4368]) ).
fof(f7293,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(fun(sF276,option(ty)),sF281,hAPP(fun(nat,option(product_prod(sF276,fun(product_prod(sF276,sF276),option(val))))),fun(fun(sF276,option(ty)),sF281),hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),product_prod(ty,product_prod(list(sF276),sF277))))))))),fun(fun(nat,option(product_prod(sF276,fun(product_prod(sF276,sF276),option(val))))),fun(fun(sF276,option(ty)),sF281)),wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7292,f4376]) ).
fof(f7294,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(fun(sF276,sF279),sF281,hAPP(fun(nat,option(product_prod(sF276,fun(product_prod(sF276,sF276),option(val))))),fun(fun(sF276,sF279),sF281),hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),product_prod(ty,product_prod(list(sF276),sF277))))))))),fun(fun(nat,option(product_prod(sF276,fun(product_prod(sF276,sF276),option(val))))),fun(fun(sF276,sF279),sF281)),wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7293,f4372]) ).
fof(f7295,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(fun(nat,option(product_prod(sF276,fun(product_prod(sF276,sF276),option(val))))),fun(sF280,sF281),hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),product_prod(ty,product_prod(list(sF276),sF277))))))))),fun(fun(nat,option(product_prod(sF276,fun(product_prod(sF276,sF276),option(val))))),fun(sF280,sF281)),wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7294,f4374]) ).
fof(f7296,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(fun(nat,option(product_prod(sF276,fun(product_prod(sF276,sF276),option(val))))),sF288,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),product_prod(ty,product_prod(list(sF276),sF277))))))))),fun(fun(nat,option(product_prod(sF276,fun(product_prod(sF276,sF276),option(val))))),sF288),wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7295,f4390]) ).
fof(f7297,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(fun(nat,option(product_prod(sF276,fun(product_prod(sF276,sF276),sF283)))),sF288,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),product_prod(ty,product_prod(list(sF276),sF277))))))))),fun(fun(nat,option(product_prod(sF276,fun(product_prod(sF276,sF276),sF283)))),sF288),wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7296,f4380]) ).
fof(f7298,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(fun(nat,option(product_prod(sF276,fun(sF282,sF283)))),sF288,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),product_prod(ty,product_prod(list(sF276),sF277))))))))),fun(fun(nat,option(product_prod(sF276,fun(sF282,sF283)))),sF288),wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7297,f4378]) ).
fof(f7299,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(fun(nat,option(product_prod(sF276,sF284))),sF288,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),product_prod(ty,product_prod(list(sF276),sF277))))))))),fun(fun(nat,option(product_prod(sF276,sF284))),sF288),wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7298,f4382]) ).
fof(f7300,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(fun(nat,option(sF285)),sF288,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),product_prod(ty,product_prod(list(sF276),sF277))))))))),fun(fun(nat,option(sF285)),sF288),wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7299,f4384]) ).
fof(f7301,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(fun(nat,sF286),sF288,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),product_prod(ty,product_prod(list(sF276),sF277))))))))),fun(fun(nat,sF286),sF288),wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7300,f4386]) ).
fof(f7302,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(sF287,sF288,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),product_prod(ty,product_prod(list(sF276),sF277))))))))),fun(sF287,sF288),wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7301,f4388]) ).
fof(f7303,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(sF287,sF288,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),product_prod(ty,product_prod(list(sF276),sF277))))))))),sF302,wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7302,f4418]) ).
fof(f7304,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(sF287,sF288,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),product_prod(ty,product_prod(sF292,sF277))))))))),sF302,wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7303,f4398]) ).
fof(f7305,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(sF287,sF288,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),product_prod(ty,sF293)))))))),sF302,wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7304,f4400]) ).
fof(f7306,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(sF287,sF288,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(list(ty),sF294))))))),sF302,wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7305,f4402]) ).
fof(f7307,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(sF287,sF288,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,product_prod(sF291,sF294))))))),sF302,wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7306,f4396]) ).
fof(f7308,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(sF287,sF288,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(product_prod(sF276,sF295)))))),sF302,wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7307,f4404]) ).
fof(f7309,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(sF287,sF288,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),list(sF296))))),sF302,wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7308,f4406]) ).
fof(f7310,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(sF287,sF288,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(product_prod(sF276,ty)),sF297)))),sF302,wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7309,f4408]) ).
fof(f7311,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(sF287,sF288,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(list(sF289),sF297)))),sF302,wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7310,f4392]) ).
fof(f7312,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(sF287,sF288,hAPP(list(product_prod(sF276,product_prod(sF276,product_prod(sF290,sF297)))),sF302,wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7311,f4394]) ).
fof(f7313,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(sF287,sF288,hAPP(list(product_prod(sF276,product_prod(sF276,sF298))),sF302,wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7312,f4410]) ).
fof(f7314,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(sF287,sF288,hAPP(list(product_prod(sF276,sF299)),sF302,wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7313,f4412]) ).
fof(f7315,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(sF287,sF288,hAPP(list(sF300),sF302,wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7314,f4414]) ).
fof(f7316,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(sF287,sF288,hAPP(sF301,sF302,wTrt,p),h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7315,f4416]) ).
fof(f7317,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,hAPP(sF287,sF288,sF303,h_a),e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7316,f4420]) ).
fof(f7318,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,hAPP(sF280,sF281,sF304,e),e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7317,f4422]) ).
fof(f7319,plain,
( hBOOL(hAPP(ty,bool,hAPP(sF277,sF278,sF305,e_a),nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7318,f4424]) ).
fof(f7320,plain,
( hBOOL(hAPP(ty,bool,sF306,nt))
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7319,f4426]) ).
fof(f7321,plain,
( hBOOL(sF307)
| ~ spl308_2 ),
inference(forward_demodulation,[],[f7320,f4428]) ).
fof(f7322,plain,
( $false
| ~ spl308_2 ),
inference(forward_subsumption_resolution,[],[f7321,f4429]) ).
fof(f7323,plain,
~ spl308_2,
inference(avatar_contradiction_clause,[],[f7322]) ).
cnf(s1,plain,
( spl308_1
| spl308_2
| spl308_3 ),
inference(sat_conversion,[],[f7262]) ).
cnf(s2,plain,
( spl308_2
| spl308_3
| spl308_4 ),
inference(sat_conversion,[],[f7267]) ).
cnf(s5,plain,
~ spl308_3,
inference(sat_conversion,[],[f7277]) ).
cnf(s6,plain,
( ~ spl308_1
| spl308_2
| ~ spl308_4 ),
inference(sat_conversion,[],[f7280]) ).
cnf(s8,plain,
~ spl308_2,
inference(sat_conversion,[],[f7323]) ).
cnf(s9,plain,
( ~ spl308_1
| ~ spl308_4 ),
inference(rat,[],[s6,s8]) ).
cnf(s12,plain,
spl308_4,
inference(rat,[],[s2,s5,s8]) ).
cnf(s13,plain,
~ spl308_1,
inference(rat,[],[s9,s12]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s1,s5,s8,s13]) ).
fof(f7324,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW477+7 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n017.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 14:08:37 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 11.92/3.20 % (3572174)Detected formulas, will run a generic FOF schedule.
% 11.92/3.20 % (3572179)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=562601068:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 11.92/3.20 % (3572184)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2160990979:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 11.92/3.20 % (3572183)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2510601935:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 11.92/3.20 % (3572185)dis-21_1_sil=8000:lcm=predicate:random_seed=3120192597:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 11.92/3.20 % (3572181)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=4223960781:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 11.92/3.20 % (3572180)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=2405187579:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 11.92/3.20 % (3572182)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1186015138:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 11.92/3.20 % (3572184)Instruction limit reached!
% 11.92/3.20 % (3572184)------------------------------
% 11.92/3.20 % (3572184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.20 % (3572184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.20 % (3572184)CaDiCaL version: 2.1.3
% 11.92/3.20 % (3572184)Termination reason: Instruction limit
% 11.92/3.20 % (3572184)Termination phase: Property scanning
% 11.92/3.20 % (3572184)Time elapsed: 0.047 s
% 11.92/3.20 % (3572184)Peak memory usage: 86 MB
% 11.92/3.20 % (3572184)Instructions burned: 139 (million)
% 11.92/3.20 % (3572182)Instruction limit reached!
% 11.92/3.20 % (3572182)------------------------------
% 11.92/3.20 % (3572182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.20 % (3572182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.20 % (3572182)CaDiCaL version: 2.1.3
% 11.92/3.20 % (3572182)Termination reason: Instruction limit
% 11.92/3.20 % (3572182)Termination phase: Saturation
% 11.92/3.20 % (3572182)Time elapsed: 0.050 s
% 11.92/3.20 % (3572182)Peak memory usage: 90 MB
% 11.92/3.20 % (3572182)Instructions burned: 109 (million)
% 11.92/3.20 % (3572183)Instruction limit reached!
% 11.92/3.20 % (3572183)------------------------------
% 11.92/3.20 % (3572183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.20 % (3572183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.20 % (3572183)CaDiCaL version: 2.1.3
% 11.92/3.20 % (3572183)Termination reason: Instruction limit
% 11.92/3.20 % (3572183)Termination phase: Preprocessing 3
% 11.92/3.20 % (3572183)Time elapsed: 0.055 s
% 11.92/3.20 % (3572183)Peak memory usage: 87 MB
% 11.92/3.20 % (3572183)Instructions burned: 123 (million)
% 11.92/3.20 % (3572185)Instruction limit reached!
% 11.92/3.20 % (3572185)------------------------------
% 11.92/3.20 % (3572185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.20 % (3572185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.20 % (3572185)CaDiCaL version: 2.1.3
% 11.92/3.20 % (3572185)Termination reason: Instruction limit
% 11.92/3.20 % (3572185)Termination phase: Preprocessing 3
% 11.92/3.20 % (3572185)Time elapsed: 0.058 s
% 11.92/3.20 % (3572185)Peak memory usage: 88 MB
% 11.92/3.20 % (3572185)Instructions burned: 131 (million)
% 11.92/3.20 % (3572194)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2451907886:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 11.92/3.20 % (3572193)lrs+10_1_sil=8000:sp=occurrence:random_seed=1989579364:i=285:sd=3:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/285Mi)
% 11.92/3.20 % (3572196)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=2767220690:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 11.92/3.20 % (3572195)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1015157001:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 11.92/3.20 % (3572194)Instruction limit reached!
% 11.92/3.20 % (3572194)------------------------------
% 11.92/3.20 % (3572194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.20 % (3572194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.20 % (3572194)CaDiCaL version: 2.1.3
% 11.92/3.20 % (3572194)Termination reason: Instruction limit
% 11.92/3.20 % (3572194)Termination phase: Property scanning
% 11.92/3.20 % (3572194)Time elapsed: 0.054 s
% 11.92/3.20 % (3572194)Peak memory usage: 86 MB
% 11.92/3.20 % (3572194)Instructions burned: 163 (million)
% 11.92/3.20 % (3572196)Instruction limit reached!
% 11.92/3.20 % (3572196)------------------------------
% 11.92/3.20 % (3572196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.20 % (3572196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.20 % (3572196)CaDiCaL version: 2.1.3
% 11.92/3.20 % (3572196)Termination reason: Instruction limit
% 11.92/3.20 % (3572196)Termination phase: Property scanning
% 11.92/3.20 % (3572196)Time elapsed: 0.083 s
% 11.92/3.20 % (3572196)Peak memory usage: 86 MB
% 11.92/3.20 % (3572196)Instructions burned: 250 (million)
% 11.92/3.20 % (3572193)Instruction limit reached!
% 11.92/3.20 % (3572193)------------------------------
% 11.92/3.20 % (3572193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.20 % (3572193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.20 % (3572193)CaDiCaL version: 2.1.3
% 11.92/3.20 % (3572193)Termination reason: Instruction limit
% 11.92/3.20 % (3572193)Termination phase: Property scanning
% 11.92/3.20 % (3572193)Time elapsed: 0.106 s
% 11.92/3.20 % (3572193)Peak memory usage: 88 MB
% 11.92/3.20 % (3572193)Instructions burned: 288 (million)
% 11.92/3.20 % (3572201)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1995178594:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 11.92/3.20 % (3572195)Instruction limit reached!
% 11.92/3.20 % (3572195)------------------------------
% 11.92/3.20 % (3572195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.20 % (3572195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.20 % (3572195)CaDiCaL version: 2.1.3
% 11.92/3.20 % (3572195)Termination reason: Instruction limit
% 11.92/3.20 % (3572195)Termination phase: Saturation
% 11.92/3.20 % (3572195)Time elapsed: 0.169 s
% 11.92/3.20 % (3572195)Peak memory usage: 92 MB
% 11.92/3.20 % (3572195)Instructions burned: 327 (million)
% 11.92/3.20 % (3572203)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2773441336:i=2350_2986 on theBenchmark for (2986ds/2350Mi)
% 11.92/3.20 % (3572204)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=598182833:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 11.92/3.20 % (3572204)Instruction limit reached!
% 11.92/3.20 % (3572204)------------------------------
% 11.92/3.20 % (3572204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.20 % (3572204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.20 % (3572204)CaDiCaL version: 2.1.3
% 11.92/3.20 % (3572204)Termination reason: Instruction limit
% 11.92/3.20 % (3572204)Termination phase: Preprocessing 3
% 11.92/3.20 % (3572204)Time elapsed: 0.051 s
% 11.92/3.20 % (3572204)Peak memory usage: 87 MB
% 11.92/3.20 % (3572204)Instructions burned: 114 (million)
% 11.92/3.20 % (3572201)Instruction limit reached!
% 11.92/3.20 % (3572201)------------------------------
% 11.92/3.20 % (3572201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.20 % (3572201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.20 % (3572201)CaDiCaL version: 2.1.3
% 11.92/3.20 % (3572201)Termination reason: Instruction limit
% 11.92/3.20 % (3572201)Termination phase: Property scanning
% 11.92/3.20 % (3572201)Time elapsed: 0.115 s
% 11.92/3.20 % (3572201)Peak memory usage: 88 MB
% 11.92/3.20 % (3572201)Instructions burned: 294 (million)
% 11.92/3.20 % (3572206)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=478526698:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 11.92/3.20 % (3572206)Instruction limit reached!
% 11.92/3.20 % (3572206)------------------------------
% 11.92/3.20 % (3572206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.20 % (3572206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.20 % (3572206)CaDiCaL version: 2.1.3
% 11.92/3.20 % (3572206)Termination reason: Instruction limit
% 11.92/3.20 % (3572206)Termination phase: Property scanning
% 11.92/3.20 % (3572206)Time elapsed: 0.054 s
% 11.92/3.20 % (3572206)Peak memory usage: 88 MB
% 11.92/3.20 % (3572206)Instructions burned: 127 (million)
% 11.92/3.20 % (3572209)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2924633853:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 11.92/3.20 % (3572210)lrs+10_1_sil=8000:sp=occurrence:random_seed=3208757466:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 11.92/3.20 % (3572209)Instruction limit reached!
% 11.92/3.20 % (3572209)------------------------------
% 11.92/3.20 % (3572209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.20 % (3572209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.20 % (3572209)CaDiCaL version: 2.1.3
% 11.92/3.20 % (3572209)Termination reason: Instruction limit
% 11.92/3.20 % (3572209)Termination phase: Property scanning
% 11.92/3.20 % (3572209)Time elapsed: 0.038 s
% 11.92/3.20 % (3572209)Peak memory usage: 86 MB
% 11.92/3.20 % (3572209)Instructions burned: 115 (million)
% 11.92/3.20 % (3572212)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3765834428:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 11.92/3.20 % (3572215)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4194163786:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 11.92/3.20 % (3572212)Instruction limit reached!
% 11.92/3.20 % (3572212)------------------------------
% 11.92/3.20 % (3572212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.20 % (3572212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.20 % (3572212)CaDiCaL version: 2.1.3
% 11.92/3.20 % (3572212)Termination reason: Instruction limit
% 11.92/3.20 % (3572212)Termination phase: Property scanning
% 11.92/3.20 % (3572212)Time elapsed: 0.162 s
% 11.92/3.20 % (3572212)Peak memory usage: 88 MB
% 11.92/3.20 % (3572212)Instructions burned: 440 (million)
% 11.92/3.20 % (3572210)Instruction limit reached!
% 11.92/3.20 % (3572210)------------------------------
% 11.92/3.20 % (3572210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.20 % (3572210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.20 % (3572210)CaDiCaL version: 2.1.3
% 11.92/3.20 % (3572210)Termination reason: Instruction limit
% 11.92/3.20 % (3572210)Termination phase: Property scanning
% 11.92/3.20 % (3572210)Time elapsed: 0.323 s
% 11.92/3.20 % (3572210)Peak memory usage: 89 MB
% 11.92/3.20 % (3572210)Instructions burned: 910 (million)
% 11.92/3.20 % (3572218)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1479604285:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 11.92/3.20 % (3572219)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3031451674:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 11.92/3.20 % (3572218)Instruction limit reached!
% 11.92/3.20 % (3572218)------------------------------
% 11.92/3.20 % (3572218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.20 % (3572218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.20 % (3572218)CaDiCaL version: 2.1.3
% 11.92/3.20 % (3572218)Termination reason: Instruction limit
% 11.92/3.20 % (3572218)Termination phase: Property scanning
% 11.92/3.20 % (3572218)Time elapsed: 0.063 s
% 11.92/3.20 % (3572218)Peak memory usage: 88 MB
% 11.92/3.20 % (3572218)Instructions burned: 137 (million)
% 11.92/3.20 % (3572222)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1355975862:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 11.92/3.20 % (3572179)First to succeed.
% 11.92/3.20 % (3572179)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3572174"
% 11.92/3.20 % (3572219)Instruction limit reached!
% 11.92/3.20 % (3572219)------------------------------
% 11.92/3.20 % (3572219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/3.20 % (3572219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/3.20 % (3572219)CaDiCaL version: 2.1.3
% 11.92/3.20 % (3572219)Termination reason: Instruction limit
% 11.92/3.20 % (3572219)Termination phase: Property scanning
% 11.92/3.20 % (3572219)Time elapsed: 0.221 s
% 11.92/3.20 % (3572219)Peak memory usage: 88 MB
% 11.92/3.20 % (3572219)Instructions burned: 592 (million)
% 11.92/3.20 % (3572179)Refutation found. Thanks to Tanya!
% 11.92/3.20 % SZS status Theorem for theBenchmark
% 11.92/3.20 % SZS output start Proof for theBenchmark
% See solution above
% 12.55/3.39 % (3572179)------------------------------
% 12.55/3.39 % (3572179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.55/3.39 % (3572179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/3.39 % (3572179)CaDiCaL version: 2.1.3
% 12.55/3.39 % (3572179)Termination reason: Refutation
% 12.55/3.39 % (3572179)Time elapsed: 1.260 s
% 12.55/3.39 % (3572179)Peak memory usage: 178 MB
% 12.55/3.39 % (3572179)Instructions burned: 4546 (million)
% 12.55/3.39 % (3572179)------------------------------
% 12.55/3.39 % (3572179)------------------------------
% 12.55/3.39 % (3572174)Success in time 2.532 s
% 12.55/3.39 % Vampire exiting
%------------------------------------------------------------------------------