%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT125+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:36:58 PM UTC 2026
% Result : Theorem 132.07s 36.12s
% Output : Refutation 248.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 68
% Syntax : Number of formulae : 448 ( 74 unt; 48 def)
% Number of atoms : 1829 ( 87 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 2537 (1156 ~;1303 |; 16 &)
% ( 44 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 46 ( 44 usr; 43 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 13 con; 0-5 aty)
% Number of variables : 801 ( 0 sgn 794 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
<=> hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mem__def) ).
fof(f37,axiom,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0),c_Arrow__Order__Mirabelle_OLin))
=> hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,X0)),c_Arrow__Order__Mirabelle_OProf)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_const__Lin__Prof) ).
fof(f43,axiom,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2),c_Arrow__Order__Mirabelle_OLin))
=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X0)),X2))
=> ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0),X1)),X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Lin__irrefl) ).
fof(f47,axiom,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X4)),X3),c_FuncSet_OPi(X5,X4,X2,c_COMBK(tc_fun(X4,tc_HOL_Obool),X5,X1))))
=> ( hBOOL(hAPP(hAPP(c_member(X5),X0),X2))
=> hBOOL(hAPP(hAPP(c_member(X4),hAPP(X3,X0)),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_funcset__mem) ).
fof(f48,axiom,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X4)),X3),c_FuncSet_OPi(X5,X4,X2,X1)))
=> ( hBOOL(hAPP(hAPP(c_member(X5),X0),X2))
=> hBOOL(hAPP(hAPP(c_member(X4),hAPP(X3,X0)),hAPP(X1,X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Pi__mem) ).
fof(f51,axiom,
! [X0,X1] :
( X1 != X0
=> ? [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2),c_Arrow__Order__Mirabelle_OLin))
& hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X0)),X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complete__Lin) ).
fof(f53,axiom,
? [X0] : hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0),c_Arrow__Order__Mirabelle_OLin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linear__alt) ).
fof(f61,axiom,
! [X0,X1,X2,X3,X4] :
( ! [X5] :
( hBOOL(hAPP(hAPP(c_member(X4),X5),X3))
=> hBOOL(hAPP(hAPP(c_member(X2),hAPP(X1,X5)),X0)) )
=> hBOOL(hAPP(hAPP(c_member(tc_fun(X4,X2)),X1),c_FuncSet_OPi(X4,X2,X3,c_COMBK(tc_fun(X2,tc_HOL_Obool),X4,X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_funcsetI) ).
fof(f63,axiom,
! [X0,X1,X2,X3,X4] :
( ! [X5] :
( hBOOL(hAPP(hAPP(c_member(X4),X5),X3))
=> hBOOL(hAPP(hAPP(c_member(X2),hAPP(X1,X5)),hAPP(X0,X5))) )
=> hBOOL(hAPP(hAPP(c_member(tc_fun(X4,X2)),X1),c_FuncSet_OPi(X4,X2,X3,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Pi__I_H) ).
fof(f79,axiom,
c_Arrow__Order__Mirabelle_OProf = c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_OLin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Prof__def) ).
fof(f84,axiom,
! [X0,X1,X2] : c_FuncSet_OPi(X2,X1,X0,c_COMBK(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X2,X1),tc_HOL_Obool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Pi__UNIV) ).
fof(f89,axiom,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X4)),hAPP(hAPP(c_Product__Type_OPair(X5,X4),X3),X2)),c_Product__Type_OSigma(X5,X4,X1,X0)))
=> ~ ( hBOOL(hAPP(hAPP(c_member(X5),X3),X1))
=> ~ hBOOL(hAPP(hAPP(c_member(X4),X2),hAPP(X0,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_SigmaE2) ).
fof(f93,axiom,
! [X0,X1] : hBOOL(hAPP(hAPP(c_member(X1),X0),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_iso__tuple__UNIV__I) ).
fof(f158,axiom,
! [X0,X1] : c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_subset__refl) ).
fof(f163,axiom,
! [X0,X1,X2] :
( X2 = X1
<=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X1)
& c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_set__eq__subset) ).
fof(f185,axiom,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(c_member(X3),X2),X1))
=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X0)
=> hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_set__rev__mp) ).
fof(f190,axiom,
! [X0,X1] : c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_subset__UNIV) ).
fof(f282,axiom,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X2)),hAPP(hAPP(c_Product__Type_OPair(X3,X2),X4),X5)),X1))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X2)),hAPP(hAPP(c_Product__Type_OPair(X3,X2),X4),X5)),X0)) )
=> c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X3,X2),tc_HOL_Obool),X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_subrelI) ).
fof(f520,axiom,
! [X0,X1,X2,X3] : hAPP(c_COMBK(X3,X2,X1),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBK__1) ).
fof(f529,conjecture,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f530,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
inference(negated_conjecture,[status(cth)],[f529]) ).
fof(f531,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
inference(flattening,[],[f530]) ).
fof(f532,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,X0)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0),c_Arrow__Order__Mirabelle_OLin)) ),
inference(ennf_transformation,[],[f37]) ).
fof(f540,plain,
! [X0,X1] :
( ? [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2),c_Arrow__Order__Mirabelle_OLin))
& hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X0)),X2)) )
| X0 = X1 ),
inference(ennf_transformation,[],[f51]) ).
fof(f543,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0),X1)),X2))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X0)),X2))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2),c_Arrow__Order__Mirabelle_OLin)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f544,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0),X1)),X2))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X0)),X2))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2),c_Arrow__Order__Mirabelle_OLin)) ),
inference(flattening,[],[f543]) ).
fof(f548,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X4,X2)),X1),c_FuncSet_OPi(X4,X2,X3,X0)))
| ? [X5] :
( ~ hBOOL(hAPP(hAPP(c_member(X2),hAPP(X1,X5)),hAPP(X0,X5)))
& hBOOL(hAPP(hAPP(c_member(X4),X5),X3)) ) ),
inference(ennf_transformation,[],[f63]) ).
fof(f549,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X4,X2)),X1),c_FuncSet_OPi(X4,X2,X3,c_COMBK(tc_fun(X2,tc_HOL_Obool),X4,X0))))
| ? [X5] :
( ~ hBOOL(hAPP(hAPP(c_member(X2),hAPP(X1,X5)),X0))
& hBOOL(hAPP(hAPP(c_member(X4),X5),X3)) ) ),
inference(ennf_transformation,[],[f61]) ).
fof(f551,plain,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_member(X4),hAPP(X3,X0)),hAPP(X1,X0)))
| ~ hBOOL(hAPP(hAPP(c_member(X5),X0),X2))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X4)),X3),c_FuncSet_OPi(X5,X4,X2,X1))) ),
inference(ennf_transformation,[],[f48]) ).
fof(f552,plain,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_member(X4),hAPP(X3,X0)),hAPP(X1,X0)))
| ~ hBOOL(hAPP(hAPP(c_member(X5),X0),X2))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X4)),X3),c_FuncSet_OPi(X5,X4,X2,X1))) ),
inference(flattening,[],[f551]) ).
fof(f553,plain,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_member(X4),hAPP(X3,X0)),X1))
| ~ hBOOL(hAPP(hAPP(c_member(X5),X0),X2))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X4)),X3),c_FuncSet_OPi(X5,X4,X2,c_COMBK(tc_fun(X4,tc_HOL_Obool),X5,X1)))) ),
inference(ennf_transformation,[],[f47]) ).
fof(f554,plain,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP(hAPP(c_member(X4),hAPP(X3,X0)),X1))
| ~ hBOOL(hAPP(hAPP(c_member(X5),X0),X2))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X4)),X3),c_FuncSet_OPi(X5,X4,X2,c_COMBK(tc_fun(X4,tc_HOL_Obool),X5,X1)))) ),
inference(flattening,[],[f553]) ).
fof(f558,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X3,X2),tc_HOL_Obool),X1,X0)
| ? [X4,X5] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X2)),hAPP(hAPP(c_Product__Type_OPair(X3,X2),X4),X5)),X0))
& hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X2)),hAPP(hAPP(c_Product__Type_OPair(X3,X2),X4),X5)),X1)) ) ),
inference(ennf_transformation,[],[f282]) ).
fof(f565,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X0)
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
inference(ennf_transformation,[],[f185]) ).
fof(f566,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X0)
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
inference(flattening,[],[f565]) ).
fof(f612,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( hBOOL(hAPP(hAPP(c_member(X4),X2),hAPP(X0,X3)))
& hBOOL(hAPP(hAPP(c_member(X5),X3),X1)) )
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X4)),hAPP(hAPP(c_Product__Type_OPair(X5,X4),X3),X2)),c_Product__Type_OSigma(X5,X4,X1,X0))) ),
inference(ennf_transformation,[],[f89]) ).
fof(f620,plain,
! [X0,X1,X2] :
( ( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
| ~ hBOOL(hAPP(X0,X1)) )
& ( hBOOL(hAPP(X0,X1))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f622,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK1),c_Arrow__Order__Mirabelle_OLin)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f53]) ).
fof(f623,plain,
! [X0,X1] :
( ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK2(X0,X1)),c_Arrow__Order__Mirabelle_OLin))
& hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X0)),sK2(X0,X1))) )
| X0 = X1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f540]) ).
fof(f628,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X4,X2)),X1),c_FuncSet_OPi(X4,X2,X3,X0)))
| ( ~ hBOOL(hAPP(hAPP(c_member(X2),hAPP(X1,sK5(X0,X1,X2,X3,X4))),hAPP(X0,sK5(X0,X1,X2,X3,X4))))
& hBOOL(hAPP(hAPP(c_member(X4),sK5(X0,X1,X2,X3,X4)),X3)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X5,sK5(X0,X1,X2,X3,X4))],[f548]) ).
fof(f629,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X4,X2)),X1),c_FuncSet_OPi(X4,X2,X3,c_COMBK(tc_fun(X2,tc_HOL_Obool),X4,X0))))
| ( ~ hBOOL(hAPP(hAPP(c_member(X2),hAPP(X1,sK6(X0,X1,X2,X3,X4))),X0))
& hBOOL(hAPP(hAPP(c_member(X4),sK6(X0,X1,X2,X3,X4)),X3)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X5,sK6(X0,X1,X2,X3,X4))],[f549]) ).
fof(f636,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X3,X2),tc_HOL_Obool),X1,X0)
| ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X2)),hAPP(hAPP(c_Product__Type_OPair(X3,X2),sK11(X0,X1,X2,X3)),sK12(X0,X1,X2,X3))),X0))
& hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X2)),hAPP(hAPP(c_Product__Type_OPair(X3,X2),sK11(X0,X1,X2,X3)),sK12(X0,X1,X2,X3))),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X4,sK11(X0,X1,X2,X3)),skolemize(X5,sK12(X0,X1,X2,X3))],[f558]) ).
fof(f637,plain,
! [X0,X1,X2] :
( ( X2 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2) )
& ( ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X1)
& c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2) )
| X1 != X2 ) ),
inference(nnf_transformation,[],[f163]) ).
fof(f638,plain,
! [X0,X1,X2] :
( ( X2 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2) )
& ( ( c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X1)
& c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2) )
| X1 != X2 ) ),
inference(flattening,[],[f637]) ).
fof(f648,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
inference(cnf_transformation,[],[f531]) ).
fof(f649,plain,
c_Arrow__Order__Mirabelle_OProf = c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_OLin)),
inference(cnf_transformation,[],[f79]) ).
fof(f650,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),c_COMBK(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,X0)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0),c_Arrow__Order__Mirabelle_OLin)) ),
inference(cnf_transformation,[],[f532]) ).
fof(f656,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
| hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[],[f620]) ).
fof(f657,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
| ~ hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[],[f620]) ).
fof(f663,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK1),c_Arrow__Order__Mirabelle_OLin)),
inference(cnf_transformation,[],[f622]) ).
fof(f664,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X0)),sK2(X0,X1)))
| X0 = X1 ),
inference(cnf_transformation,[],[f623]) ).
fof(f665,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK2(X0,X1)),c_Arrow__Order__Mirabelle_OLin))
| X0 = X1 ),
inference(cnf_transformation,[],[f623]) ).
fof(f668,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0),X1)),X2))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X0)),X2))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2),c_Arrow__Order__Mirabelle_OLin)) ),
inference(cnf_transformation,[],[f544]) ).
fof(f669,plain,
! [X2,X3,X0,X1] : hAPP(c_COMBK(X3,X2,X1),X0) = X1,
inference(cnf_transformation,[],[f520]) ).
fof(f678,plain,
! [X2,X3,X0,X1,X4] :
( ~ hBOOL(hAPP(hAPP(c_member(X2),hAPP(X1,sK5(X0,X1,X2,X3,X4))),hAPP(X0,sK5(X0,X1,X2,X3,X4))))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X4,X2)),X1),c_FuncSet_OPi(X4,X2,X3,X0))) ),
inference(cnf_transformation,[],[f628]) ).
fof(f679,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X4,X2)),X1),c_FuncSet_OPi(X4,X2,X3,c_COMBK(tc_fun(X2,tc_HOL_Obool),X4,X0))))
| hBOOL(hAPP(hAPP(c_member(X4),sK6(X0,X1,X2,X3,X4)),X3)) ),
inference(cnf_transformation,[],[f629]) ).
fof(f680,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X4,X2)),X1),c_FuncSet_OPi(X4,X2,X3,c_COMBK(tc_fun(X2,tc_HOL_Obool),X4,X0))))
| ~ hBOOL(hAPP(hAPP(c_member(X2),hAPP(X1,sK6(X0,X1,X2,X3,X4))),X0)) ),
inference(cnf_transformation,[],[f629]) ).
fof(f683,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X4)),X3),c_FuncSet_OPi(X5,X4,X2,X1)))
| ~ hBOOL(hAPP(hAPP(c_member(X5),X0),X2))
| hBOOL(hAPP(hAPP(c_member(X4),hAPP(X3,X0)),hAPP(X1,X0))) ),
inference(cnf_transformation,[],[f552]) ).
fof(f684,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X5,X4)),X3),c_FuncSet_OPi(X5,X4,X2,c_COMBK(tc_fun(X4,tc_HOL_Obool),X5,X1))))
| ~ hBOOL(hAPP(hAPP(c_member(X5),X0),X2))
| hBOOL(hAPP(hAPP(c_member(X4),hAPP(X3,X0)),X1)) ),
inference(cnf_transformation,[],[f554]) ).
fof(f686,plain,
! [X0,X1] : c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool))),
inference(cnf_transformation,[],[f190]) ).
fof(f689,plain,
! [X0,X1] : hBOOL(hAPP(hAPP(c_member(X1),X0),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))),
inference(cnf_transformation,[],[f93]) ).
fof(f690,plain,
! [X2,X0,X1] : c_FuncSet_OPi(X2,X1,X0,c_COMBK(tc_fun(X1,tc_HOL_Obool),X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X2,X1),tc_HOL_Obool)),
inference(cnf_transformation,[],[f84]) ).
fof(f701,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X2)),hAPP(hAPP(c_Product__Type_OPair(X3,X2),sK11(X0,X1,X2,X3)),sK12(X0,X1,X2,X3))),X1))
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X3,X2),tc_HOL_Obool),X1,X0) ),
inference(cnf_transformation,[],[f636]) ).
fof(f702,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X3,X2)),hAPP(hAPP(c_Product__Type_OPair(X3,X2),sK11(X0,X1,X2,X3)),sK12(X0,X1,X2,X3))),X0))
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X3,X2),tc_HOL_Obool),X1,X0) ),
inference(cnf_transformation,[],[f636]) ).
fof(f706,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool),X1,X0)
| hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) ),
inference(cnf_transformation,[],[f566]) ).
fof(f717,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X1)
| X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X1,X2) ),
inference(cnf_transformation,[],[f638]) ).
fof(f718,plain,
! [X0,X1] : c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X0,X0),
inference(cnf_transformation,[],[f158]) ).
fof(f764,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(X5,X4)),hAPP(hAPP(c_Product__Type_OPair(X5,X4),X3),X2)),c_Product__Type_OSigma(X5,X4,X1,X0)))
| hBOOL(hAPP(hAPP(c_member(X5),X3),X1)) ),
inference(cnf_transformation,[],[f612]) ).
fof(f794,definition,
sF17 = tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f795,plain,
tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sF17,
inference(reorient_equations,[],[f794]) ).
fof(f796,definition,
sF18 = tc_fun(sF17,tc_HOL_Obool),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f797,plain,
tc_fun(sF17,tc_HOL_Obool) = sF18,
inference(reorient_equations,[],[f796]) ).
fof(f798,definition,
sF19 = tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f799,plain,
tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF18) = sF19,
inference(reorient_equations,[],[f798]) ).
fof(f800,definition,
sF20 = c_member(sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f801,plain,
c_member(sF19) = sF20,
inference(reorient_equations,[],[f800]) ).
fof(f802,definition,
sF21 = hAPP(sF20,v_Q____),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f803,plain,
hAPP(sF20,v_Q____) = sF21,
inference(reorient_equations,[],[f802]) ).
fof(f804,definition,
sF22 = hAPP(sF21,c_Arrow__Order__Mirabelle_OProf),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f805,plain,
hAPP(sF21,c_Arrow__Order__Mirabelle_OProf) = sF22,
inference(reorient_equations,[],[f804]) ).
fof(f806,plain,
~ hBOOL(sF22),
inference(definition_folding,[],[f648,f805,f803,f801,f799,f797,f795]) ).
fof(f808,definition,
( spl23_1
<=> hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK1),c_Arrow__Order__Mirabelle_OLin)) ),
introduced(definition,[new_symbols(definition,[spl23_1])],[avatar_definition]) ).
fof(f810,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),sK1),c_Arrow__Order__Mirabelle_OLin))
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f811,plain,
spl23_1,
inference(avatar_split_clause,[],[f663,f808]) ).
fof(f813,definition,
( spl23_2
<=> c_Arrow__Order__Mirabelle_OProf = c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_OLin)) ),
introduced(definition,[new_symbols(definition,[spl23_2])],[avatar_definition]) ).
fof(f815,plain,
( c_Arrow__Order__Mirabelle_OProf = c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_OLin))
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f816,plain,
spl23_2,
inference(avatar_split_clause,[],[f649,f813]) ).
fof(f818,definition,
( spl23_3
<=> hBOOL(sF22) ),
introduced(definition,[new_symbols(definition,[spl23_3])],[avatar_definition]) ).
fof(f820,plain,
( ~ hBOOL(sF22)
| spl23_3 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f821,plain,
~ spl23_3,
inference(avatar_split_clause,[],[f806,f818]) ).
fof(f823,definition,
( spl23_4
<=> tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sF17 ),
introduced(definition,[new_symbols(definition,[spl23_4])],[avatar_definition]) ).
fof(f825,plain,
( tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sF17
| ~ spl23_4 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f826,plain,
spl23_4,
inference(avatar_split_clause,[],[f795,f823]) ).
fof(f828,definition,
( spl23_5
<=> tc_fun(sF17,tc_HOL_Obool) = sF18 ),
introduced(definition,[new_symbols(definition,[spl23_5])],[avatar_definition]) ).
fof(f830,plain,
( tc_fun(sF17,tc_HOL_Obool) = sF18
| ~ spl23_5 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f831,plain,
spl23_5,
inference(avatar_split_clause,[],[f797,f828]) ).
fof(f833,definition,
( spl23_6
<=> tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF18) = sF19 ),
introduced(definition,[new_symbols(definition,[spl23_6])],[avatar_definition]) ).
fof(f835,plain,
( tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF18) = sF19
| ~ spl23_6 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f836,plain,
spl23_6,
inference(avatar_split_clause,[],[f799,f833]) ).
fof(f838,definition,
( spl23_7
<=> c_member(sF19) = sF20 ),
introduced(definition,[new_symbols(definition,[spl23_7])],[avatar_definition]) ).
fof(f840,plain,
( c_member(sF19) = sF20
| ~ spl23_7 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f841,plain,
spl23_7,
inference(avatar_split_clause,[],[f801,f838]) ).
fof(f843,definition,
( spl23_8
<=> hAPP(sF20,v_Q____) = sF21 ),
introduced(definition,[new_symbols(definition,[spl23_8])],[avatar_definition]) ).
fof(f845,plain,
( hAPP(sF20,v_Q____) = sF21
| ~ spl23_8 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f846,plain,
spl23_8,
inference(avatar_split_clause,[],[f803,f843]) ).
fof(f848,definition,
( spl23_9
<=> hAPP(sF21,c_Arrow__Order__Mirabelle_OProf) = sF22 ),
introduced(definition,[new_symbols(definition,[spl23_9])],[avatar_definition]) ).
fof(f850,plain,
( hAPP(sF21,c_Arrow__Order__Mirabelle_OProf) = sF22
| ~ spl23_9 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f851,plain,
spl23_9,
inference(avatar_split_clause,[],[f805,f848]) ).
fof(f852,plain,
( ! [X0,X1] : c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X0,sF17),tc_HOL_Obool)) = c_FuncSet_OPi(X0,sF17,X1,c_COMBK(sF18,X0,c_Orderings_Otop__class_Otop(sF18)))
| ~ spl23_5 ),
inference(superposition,[],[f690,f830]) ).
fof(f853,plain,
( ! [X0,X1] :
( hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sK11(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),sK12(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),X1))
| c_Orderings_Oord__class_Oless__eq(tc_fun(sF17,tc_HOL_Obool),X1,X0) )
| ~ spl23_4 ),
inference(superposition,[],[f701,f825]) ).
fof(f854,plain,
( ! [X0,X1] :
( hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sK11(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),sK12(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),X1))
| c_Orderings_Oord__class_Oless__eq(sF18,X1,X0) )
| ~ spl23_4
| ~ spl23_5 ),
inference(forward_demodulation,[],[f853,f830]) ).
fof(f856,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sK11(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),sK12(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),X0))
| c_Orderings_Oord__class_Oless__eq(tc_fun(sF17,tc_HOL_Obool),X1,X0) )
| ~ spl23_4 ),
inference(superposition,[],[f702,f825]) ).
fof(f858,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sK11(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),sK12(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),X0))
| c_Orderings_Oord__class_Oless__eq(sF18,X1,X0) )
| ~ spl23_4
| ~ spl23_5 ),
inference(forward_demodulation,[],[f856,f830]) ).
fof(f860,plain,
( ! [X0,X1] :
( hBOOL(hAPP(X0,hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sK11(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),sK12(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))
| c_Orderings_Oord__class_Oless__eq(sF18,X0,X1) )
| ~ spl23_4
| ~ spl23_5 ),
inference(resolution,[],[f656,f854]) ).
fof(f861,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(sF20,X0),X1))
| hBOOL(hAPP(X1,X0)) )
| ~ spl23_7 ),
inference(superposition,[],[f656,f840]) ).
fof(f863,plain,
( ! [X0] : c_Orderings_Oord__class_Oless__eq(sF18,X0,X0)
| ~ spl23_5 ),
inference(superposition,[],[f718,f830]) ).
fof(f869,plain,
( ! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(sF17,tc_HOL_Obool))),c_COMBK(tc_fun(sF17,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,X0)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0),c_Arrow__Order__Mirabelle_OLin)) )
| ~ spl23_4 ),
inference(forward_demodulation,[],[f650,f825]) ).
fof(f870,plain,
( ! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF18)),c_COMBK(sF18,tc_Arrow__Order__Mirabelle_Oindi,X0)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0),c_Arrow__Order__Mirabelle_OLin)) )
| ~ spl23_4
| ~ spl23_5 ),
inference(forward_demodulation,[],[f869,f830]) ).
fof(f871,plain,
( ! [X0] :
( hBOOL(hAPP(hAPP(c_member(sF19),c_COMBK(sF18,tc_Arrow__Order__Mirabelle_Oindi,X0)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0),c_Arrow__Order__Mirabelle_OLin)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6 ),
inference(forward_demodulation,[],[f870,f835]) ).
fof(f872,plain,
( ! [X0] :
( hBOOL(hAPP(hAPP(sF20,c_COMBK(sF18,tc_Arrow__Order__Mirabelle_Oindi,X0)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X0),c_Arrow__Order__Mirabelle_OLin)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f871,f840]) ).
fof(f873,plain,
( ! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(sF17,tc_HOL_Obool)),X0),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(hAPP(sF20,c_COMBK(sF18,tc_Arrow__Order__Mirabelle_Oindi,X0)),c_Arrow__Order__Mirabelle_OProf)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f872,f825]) ).
fof(f874,plain,
( ! [X0] :
( hBOOL(hAPP(hAPP(sF20,c_COMBK(sF18,tc_Arrow__Order__Mirabelle_Oindi,X0)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(sF18),X0),c_Arrow__Order__Mirabelle_OLin)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f873,f830]) ).
fof(f875,plain,
( ! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(sF18),X0),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,c_COMBK(sF18,tc_Arrow__Order__Mirabelle_Oindi,X0))) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(resolution,[],[f874,f861]) ).
fof(f888,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(sF17,tc_HOL_Obool)),sK1),c_Arrow__Order__Mirabelle_OLin))
| ~ spl23_1
| ~ spl23_4 ),
inference(forward_demodulation,[],[f810,f825]) ).
fof(f889,plain,
( hBOOL(hAPP(hAPP(c_member(sF18),sK1),c_Arrow__Order__Mirabelle_OLin))
| ~ spl23_1
| ~ spl23_4
| ~ spl23_5 ),
inference(forward_demodulation,[],[f888,f830]) ).
fof(f891,definition,
( spl23_10
<=> hBOOL(hAPP(hAPP(c_member(sF18),sK1),c_Arrow__Order__Mirabelle_OLin)) ),
introduced(definition,[new_symbols(definition,[spl23_10])],[avatar_definition]) ).
fof(f893,plain,
( hBOOL(hAPP(hAPP(c_member(sF18),sK1),c_Arrow__Order__Mirabelle_OLin))
| ~ spl23_10 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f894,plain,
( spl23_10
| ~ spl23_1
| ~ spl23_4
| ~ spl23_5 ),
inference(avatar_split_clause,[],[f889,f828,f823,f808,f891]) ).
fof(f903,plain,
( c_Arrow__Order__Mirabelle_OProf = c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(sF17,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),c_COMBK(tc_fun(tc_fun(sF17,tc_HOL_Obool),tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_OLin))
| ~ spl23_2
| ~ spl23_4 ),
inference(forward_demodulation,[],[f815,f825]) ).
fof(f904,plain,
( c_Arrow__Order__Mirabelle_OProf = c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,sF18,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),c_COMBK(tc_fun(sF18,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_OLin))
| ~ spl23_2
| ~ spl23_4
| ~ spl23_5 ),
inference(forward_demodulation,[],[f903,f830]) ).
fof(f906,definition,
( spl23_12
<=> c_Arrow__Order__Mirabelle_OProf = c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,sF18,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),c_COMBK(tc_fun(sF18,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_OLin)) ),
introduced(definition,[new_symbols(definition,[spl23_12])],[avatar_definition]) ).
fof(f908,plain,
( c_Arrow__Order__Mirabelle_OProf = c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,sF18,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),c_COMBK(tc_fun(sF18,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_OLin))
| ~ spl23_12 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f909,plain,
( spl23_12
| ~ spl23_2
| ~ spl23_4
| ~ spl23_5 ),
inference(avatar_split_clause,[],[f904,f828,f823,f813,f906]) ).
fof(f913,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(X0,hAPP(hAPP(c_Product__Type_OPair(X1,X2),sK11(X0,X3,X2,X1)),sK12(X0,X3,X2,X1))))
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,X0) ),
inference(resolution,[],[f657,f702]) ).
fof(f916,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ hBOOL(hAPP(c_FuncSet_OPi(X0,X1,X2,c_COMBK(tc_fun(X1,tc_HOL_Obool),X0,X3)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X0),X5),X2))
| hBOOL(hAPP(hAPP(c_member(X1),hAPP(X4,X5)),X3)) ),
inference(resolution,[],[f657,f684]) ).
fof(f918,plain,
( ! [X0,X1] :
( hBOOL(hAPP(hAPP(sF20,X0),X1))
| ~ hBOOL(hAPP(X1,X0)) )
| ~ spl23_7 ),
inference(superposition,[],[f657,f840]) ).
fof(f961,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ hBOOL(hAPP(hAPP(c_member(X0),hAPP(X1,sK6(X2,X1,X0,X3,X4))),X2))
| ~ hBOOL(hAPP(hAPP(c_member(X4),X5),X3))
| hBOOL(hAPP(hAPP(c_member(X0),hAPP(X1,X5)),X2)) ),
inference(resolution,[],[f680,f684]) ).
fof(f964,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(sF19),X0),c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,sF18,X1,c_COMBK(tc_fun(sF18,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,X2))))
| ~ hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X0,sK6(X2,X0,sF18,X1,tc_Arrow__Order__Mirabelle_Oindi))),X2)) )
| ~ spl23_6 ),
inference(superposition,[],[f680,f835]) ).
fof(f970,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(sF20,X0),c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,sF18,X1,c_COMBK(tc_fun(sF18,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,X2))))
| ~ hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X0,sK6(X2,X0,sF18,X1,tc_Arrow__Order__Mirabelle_Oindi))),X2)) )
| ~ spl23_6
| ~ spl23_7 ),
inference(forward_demodulation,[],[f964,f840]) ).
fof(f986,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(sF18),hAPP(v_Q____,sK6(X1,v_Q____,sF18,X0,tc_Arrow__Order__Mirabelle_Oindi))),X1))
| hBOOL(hAPP(sF21,c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,sF18,X0,c_COMBK(tc_fun(sF18,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,X1)))) )
| ~ spl23_6
| ~ spl23_7
| ~ spl23_8 ),
inference(superposition,[],[f970,f845]) ).
fof(f990,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ hBOOL(hAPP(X5,hAPP(X4,sK6(X5,X4,X3,X2,X0))))
| hBOOL(hAPP(hAPP(c_member(X3),hAPP(X4,X1)),X5))
| ~ hBOOL(hAPP(hAPP(c_member(X0),X1),X2)) ),
inference(resolution,[],[f961,f657]) ).
fof(f1029,plain,
! [X2,X3,X0,X1,X4,X5] :
( hBOOL(hAPP(hAPP(c_member(X0),sK6(X1,X2,X3,X4,X0)),X4))
| ~ hBOOL(hAPP(hAPP(c_member(X0),X5),X4))
| hBOOL(hAPP(hAPP(c_member(X3),hAPP(X2,X5)),X1)) ),
inference(resolution,[],[f679,f684]) ).
fof(f1048,plain,
! [X2,X3,X0,X1,X4,X5] :
( hBOOL(hAPP(hAPP(c_member(X3),hAPP(X4,X1)),X5))
| ~ hBOOL(hAPP(hAPP(c_member(X0),X1),X2))
| hBOOL(hAPP(X2,sK6(X5,X4,X3,X2,X0))) ),
inference(resolution,[],[f1029,f656]) ).
fof(f1061,plain,
( ! [X0] : c_Orderings_Oord__class_Oless__eq(sF18,X0,c_Orderings_Otop__class_Otop(tc_fun(sF17,tc_HOL_Obool)))
| ~ spl23_4
| ~ spl23_5 ),
inference(resolution,[],[f689,f858]) ).
fof(f1067,plain,
( ! [X0] : hBOOL(hAPP(hAPP(c_member(sF17),X0),c_Orderings_Otop__class_Otop(sF18)))
| ~ spl23_5 ),
inference(superposition,[],[f689,f830]) ).
fof(f1068,plain,
( ! [X0] : c_Orderings_Oord__class_Oless__eq(sF18,X0,c_Orderings_Otop__class_Otop(sF18))
| ~ spl23_4
| ~ spl23_5 ),
inference(forward_demodulation,[],[f1061,f830]) ).
fof(f1086,definition,
( spl23_24
<=> ! [X2] : hBOOL(X2) ),
introduced(definition,[new_symbols(definition,[spl23_24])],[avatar_definition]) ).
fof(f1087,plain,
( ! [X2] : hBOOL(X2)
| ~ spl23_24 ),
inference(avatar_component_clause,[],[f1086]) ).
fof(f1093,plain,
( $false
| spl23_3
| ~ spl23_24 ),
inference(resolution,[],[f1087,f820]) ).
fof(f1107,plain,
( spl23_3
| ~ spl23_24 ),
inference(avatar_contradiction_clause,[],[f1093]) ).
fof(f1129,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF18)),X0),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Arrow__Order__Mirabelle_Oindi),X1),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))))
| hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X0,X1)),hAPP(c_COMBK(tc_fun(sF18,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_OLin),X1))) )
| ~ spl23_12 ),
inference(superposition,[],[f683,f908]) ).
fof(f1130,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF18)),X0),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X0,X1)),hAPP(c_COMBK(tc_fun(sF18,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_OLin),X1))) )
| ~ spl23_12 ),
inference(forward_subsumption_resolution,[],[f1129,f689]) ).
fof(f1136,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(sF19),X0),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X0,X1)),hAPP(c_COMBK(tc_fun(sF18,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_OLin),X1))) )
| ~ spl23_6
| ~ spl23_12 ),
inference(forward_demodulation,[],[f1130,f835]) ).
fof(f1139,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(sF20,X0),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X0,X1)),hAPP(c_COMBK(tc_fun(sF18,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,c_Arrow__Order__Mirabelle_OLin),X1))) )
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12 ),
inference(forward_demodulation,[],[f1136,f840]) ).
fof(f1140,plain,
( ! [X0,X1] :
( hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X0,X1)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(sF20,X0),c_Arrow__Order__Mirabelle_OProf)) )
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12 ),
inference(forward_demodulation,[],[f1139,f669]) ).
fof(f1149,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(sF20,c_COMBK(X1,X2,X0)),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(sF18),X0),c_Arrow__Order__Mirabelle_OLin)) )
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12 ),
inference(superposition,[],[f1140,f669]) ).
fof(f1209,plain,
( ! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(sF17,tc_HOL_Obool),c_Orderings_Otop__class_Otop(sF18),X0)
| hBOOL(hAPP(hAPP(c_member(sF17),X1),X0)) )
| ~ spl23_5 ),
inference(resolution,[],[f1067,f706]) ).
fof(f1212,plain,
( ! [X0,X1] :
( hBOOL(hAPP(hAPP(c_member(sF17),X1),X0))
| ~ c_Orderings_Oord__class_Oless__eq(sF18,c_Orderings_Otop__class_Otop(sF18),X0) )
| ~ spl23_5 ),
inference(forward_demodulation,[],[f1209,f830]) ).
fof(f1339,plain,
( ! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(sF18,X1,X0)
| X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(sF18,X0,X1) )
| ~ spl23_5 ),
inference(superposition,[],[f717,f830]) ).
fof(f1341,plain,
( ! [X0] :
( ~ c_Orderings_Oord__class_Oless__eq(sF18,c_Orderings_Otop__class_Otop(sF18),X0)
| c_Orderings_Otop__class_Otop(sF18) = X0 )
| ~ spl23_4
| ~ spl23_5 ),
inference(resolution,[],[f1339,f1068]) ).
fof(f1411,plain,
( hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,c_COMBK(sF18,tc_Arrow__Order__Mirabelle_Oindi,sK1)))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_10 ),
inference(resolution,[],[f875,f893]) ).
fof(f1416,definition,
( spl23_50
<=> hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,c_COMBK(sF18,tc_Arrow__Order__Mirabelle_Oindi,sK1))) ),
introduced(definition,[new_symbols(definition,[spl23_50])],[avatar_definition]) ).
fof(f1418,plain,
( hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,c_COMBK(sF18,tc_Arrow__Order__Mirabelle_Oindi,sK1)))
| ~ spl23_50 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f1419,plain,
( spl23_50
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_10 ),
inference(avatar_split_clause,[],[f1411,f891,f838,f833,f828,f823,f1416]) ).
fof(f1459,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( hBOOL(hAPP(hAPP(c_member(X4),hAPP(X3,X7)),c_COMBK(X1,X2,X0)))
| ~ hBOOL(X0)
| ~ hBOOL(hAPP(hAPP(c_member(X6),X7),X5)) ),
inference(superposition,[],[f990,f669]) ).
fof(f1473,plain,
! [X0,X1,X8,X6,X9,X7,X4,X5] :
( hBOOL(hAPP(hAPP(c_member(X1),X0),c_COMBK(X5,X6,X7)))
| ~ hBOOL(X7)
| ~ hBOOL(hAPP(hAPP(c_member(X8),X4),X9)) ),
inference(superposition,[],[f1459,f669]) ).
fof(f1491,definition,
( spl23_56
<=> ! [X9,X8,X4] : ~ hBOOL(hAPP(hAPP(c_member(X8),X4),X9)) ),
introduced(definition,[new_symbols(definition,[spl23_56])],[avatar_definition]) ).
fof(f1492,plain,
( ! [X8,X9,X4] : ~ hBOOL(hAPP(hAPP(c_member(X8),X4),X9))
| ~ spl23_56 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f1494,definition,
( spl23_57
<=> ! [X5,X0,X6,X1,X7] :
( hBOOL(hAPP(hAPP(c_member(X1),X0),c_COMBK(X5,X6,X7)))
| ~ hBOOL(X7) ) ),
introduced(definition,[new_symbols(definition,[spl23_57])],[avatar_definition]) ).
fof(f1495,plain,
( ! [X0,X1,X6,X7,X5] :
( hBOOL(hAPP(hAPP(c_member(X1),X0),c_COMBK(X5,X6,X7)))
| ~ hBOOL(X7) )
| ~ spl23_57 ),
inference(avatar_component_clause,[],[f1494]) ).
fof(f1496,plain,
( spl23_56
| spl23_57 ),
inference(avatar_split_clause,[],[f1473,f1494,f1491]) ).
fof(f1505,plain,
( ! [X2,X3,X0,X1,X4] : hBOOL(hAPP(hAPP(c_member(X0),sK6(X1,X2,X3,X4,X0)),X4))
| ~ spl23_56 ),
inference(resolution,[],[f1492,f679]) ).
fof(f1531,plain,
( $false
| ~ spl23_56 ),
inference(forward_subsumption_resolution,[],[f1505,f1492]) ).
fof(f1532,plain,
~ spl23_56,
inference(avatar_contradiction_clause,[],[f1531]) ).
fof(f1533,plain,
( ! [X2,X3,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(sF18,X1,c_COMBK(X2,X3,X0))
| ~ hBOOL(X0) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_57 ),
inference(resolution,[],[f1495,f858]) ).
fof(f1534,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(X1,X2),tc_HOL_Obool),X3,c_COMBK(X4,X5,X0))
| ~ hBOOL(X0) )
| ~ spl23_57 ),
inference(resolution,[],[f1495,f702]) ).
fof(f1574,plain,
( ! [X2,X0,X1] :
( c_COMBK(X1,X2,X0) = c_Orderings_Otop__class_Otop(sF18)
| ~ hBOOL(X0) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_57 ),
inference(resolution,[],[f1533,f1341]) ).
fof(f1583,plain,
( ! [X2,X3] :
( hAPP(c_Orderings_Otop__class_Otop(sF18),X3) = X2
| ~ hBOOL(X2) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_57 ),
inference(superposition,[],[f669,f1574]) ).
fof(f1591,plain,
( ! [X0] :
( hBOOL(hAPP(hAPP(sF20,c_Orderings_Otop__class_Otop(sF18)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(sF18),X0),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(X0) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_57 ),
inference(superposition,[],[f874,f1574]) ).
fof(f1592,plain,
( hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,c_Orderings_Otop__class_Otop(sF18)))
| ~ hBOOL(sK1)
| ~ spl23_4
| ~ spl23_5
| ~ spl23_50
| ~ spl23_57 ),
inference(superposition,[],[f1418,f1574]) ).
fof(f1605,definition,
( spl23_58
<=> hBOOL(c_Orderings_Otop__class_Otop(sF18)) ),
introduced(definition,[new_symbols(definition,[spl23_58])],[avatar_definition]) ).
fof(f1606,plain,
( hBOOL(c_Orderings_Otop__class_Otop(sF18))
| ~ spl23_58 ),
inference(avatar_component_clause,[],[f1605]) ).
fof(f1613,definition,
( spl23_60
<=> hBOOL(c_Arrow__Order__Mirabelle_OLin) ),
introduced(definition,[new_symbols(definition,[spl23_60])],[avatar_definition]) ).
fof(f1615,plain,
( ~ hBOOL(c_Arrow__Order__Mirabelle_OLin)
| spl23_60 ),
inference(avatar_component_clause,[],[f1613]) ).
fof(f1625,definition,
( spl23_63
<=> hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,c_Orderings_Otop__class_Otop(sF18))) ),
introduced(definition,[new_symbols(definition,[spl23_63])],[avatar_definition]) ).
fof(f1630,definition,
( spl23_64
<=> hBOOL(sK1) ),
introduced(definition,[new_symbols(definition,[spl23_64])],[avatar_definition]) ).
fof(f1633,plain,
( ~ spl23_64
| spl23_63
| ~ spl23_4
| ~ spl23_5
| ~ spl23_50
| ~ spl23_57 ),
inference(avatar_split_clause,[],[f1592,f1494,f1416,f828,f823,f1625,f1630]) ).
fof(f1635,definition,
( spl23_65
<=> ! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(sF18),X0),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(X0) ) ),
introduced(definition,[new_symbols(definition,[spl23_65])],[avatar_definition]) ).
fof(f1636,plain,
( ! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(sF18),X0),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(X0) )
| ~ spl23_65 ),
inference(avatar_component_clause,[],[f1635]) ).
fof(f1638,definition,
( spl23_66
<=> hBOOL(hAPP(hAPP(sF20,c_Orderings_Otop__class_Otop(sF18)),c_Arrow__Order__Mirabelle_OProf)) ),
introduced(definition,[new_symbols(definition,[spl23_66])],[avatar_definition]) ).
fof(f1641,plain,
( spl23_65
| spl23_66
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_57 ),
inference(avatar_split_clause,[],[f1591,f1494,f838,f833,f828,f823,f1638,f1635]) ).
fof(f1647,definition,
( spl23_68
<=> ! [X5] : ~ hBOOL(X5) ),
introduced(definition,[new_symbols(definition,[spl23_68])],[avatar_definition]) ).
fof(f1648,plain,
( ! [X5] : ~ hBOOL(X5)
| ~ spl23_68 ),
inference(avatar_component_clause,[],[f1647]) ).
fof(f1665,plain,
( ! [X2,X3,X0,X1,X4] : hBOOL(hAPP(hAPP(c_member(X0),sK6(X1,X2,X3,X4,X0)),X4))
| ~ spl23_68 ),
inference(resolution,[],[f1648,f679]) ).
fof(f1718,plain,
( $false
| ~ spl23_68 ),
inference(forward_subsumption_resolution,[],[f1665,f1648]) ).
fof(f1719,plain,
~ spl23_68,
inference(avatar_contradiction_clause,[],[f1718]) ).
fof(f1900,plain,
( ! [X0,X1] :
( hBOOL(hAPP(sF21,c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,sF18,X0,c_COMBK(tc_fun(sF18,tc_HOL_Obool),tc_Arrow__Order__Mirabelle_Oindi,X1))))
| ~ hBOOL(hAPP(X1,hAPP(v_Q____,sK6(X1,v_Q____,sF18,X0,tc_Arrow__Order__Mirabelle_Oindi)))) )
| ~ spl23_6
| ~ spl23_7
| ~ spl23_8 ),
inference(resolution,[],[f986,f657]) ).
fof(f1934,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)),X1)
| c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)) = X1 ),
inference(resolution,[],[f686,f717]) ).
fof(f2057,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ hBOOL(hAPP(hAPP(c_member(X1),hAPP(X2,sK5(c_COMBK(X3,X4,X0),X2,X1,X5,X6))),X0))
| hBOOL(hAPP(hAPP(c_member(tc_fun(X6,X1)),X2),c_FuncSet_OPi(X6,X1,X5,c_COMBK(X3,X4,X0)))) ),
inference(superposition,[],[f678,f669]) ).
fof(f2073,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0),X1)),X2))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X0)),X2))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2),c_Arrow__Order__Mirabelle_OLin)) )
| ~ spl23_4 ),
inference(forward_demodulation,[],[f668,f825]) ).
fof(f2074,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X0)),X2))
| ~ hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0),X1)),X2))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),X2),c_Arrow__Order__Mirabelle_OLin)) )
| ~ spl23_4 ),
inference(forward_demodulation,[],[f2073,f825]) ).
fof(f2075,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(sF17,tc_HOL_Obool)),X2),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X0)),X2))
| ~ hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0),X1)),X2)) )
| ~ spl23_4 ),
inference(forward_demodulation,[],[f2074,f825]) ).
fof(f2076,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X0)),X2))
| ~ hBOOL(hAPP(hAPP(c_member(sF18),X2),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0),X1)),X2)) )
| ~ spl23_4
| ~ spl23_5 ),
inference(forward_demodulation,[],[f2075,f830]) ).
fof(f2080,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ hBOOL(hAPP(hAPP(c_member(sF18),c_COMBK(X0,X1,X2)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),c_COMBK(X0,X1,X2)))
| ~ hBOOL(X2)
| ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X6)) )
| ~ spl23_4
| ~ spl23_5 ),
inference(resolution,[],[f2076,f1459]) ).
fof(f2083,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(sF18),X0),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X0))
| ~ c_Orderings_Oord__class_Oless__eq(sF18,c_Orderings_Otop__class_Otop(sF18),X0) )
| ~ spl23_4
| ~ spl23_5 ),
inference(resolution,[],[f2076,f1212]) ).
fof(f2095,plain,
( ! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(sF18),X0),c_Arrow__Order__Mirabelle_OLin))
| ~ c_Orderings_Oord__class_Oless__eq(sF18,c_Orderings_Otop__class_Otop(sF18),X0) )
| ~ spl23_4
| ~ spl23_5 ),
inference(forward_subsumption_resolution,[],[f2083,f1212]) ).
fof(f2098,plain,
( ! [X2,X3,X0,X1,X6,X5] :
( ~ hBOOL(hAPP(hAPP(c_member(sF18),c_COMBK(X0,X1,X2)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(X2)
| ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X6)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_57 ),
inference(forward_subsumption_resolution,[],[f2080,f1495]) ).
fof(f2108,definition,
( spl23_91
<=> ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(sF18),c_COMBK(X0,X1,X2)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(X2) ) ),
introduced(definition,[new_symbols(definition,[spl23_91])],[avatar_definition]) ).
fof(f2109,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(sF18),c_COMBK(X0,X1,X2)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(X2) )
| ~ spl23_91 ),
inference(avatar_component_clause,[],[f2108]) ).
fof(f2110,plain,
( spl23_56
| spl23_91
| ~ spl23_4
| ~ spl23_5
| ~ spl23_57 ),
inference(avatar_split_clause,[],[f2098,f1494,f828,f823,f2108,f1491]) ).
fof(f2172,plain,
( ! [X0,X1] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(sF17,tc_HOL_Obool)),sK2(X0,X1)),c_Arrow__Order__Mirabelle_OLin))
| X0 = X1 )
| ~ spl23_4 ),
inference(forward_demodulation,[],[f665,f825]) ).
fof(f2173,plain,
( ! [X0,X1] :
( hBOOL(hAPP(hAPP(c_member(sF18),sK2(X0,X1)),c_Arrow__Order__Mirabelle_OLin))
| X0 = X1 )
| ~ spl23_4
| ~ spl23_5 ),
inference(forward_demodulation,[],[f2172,f830]) ).
fof(f2177,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(sF18),sK2(X0,X1)),X2))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(sF18,tc_HOL_Obool),c_Arrow__Order__Mirabelle_OLin,X2)
| X0 = X1 )
| ~ spl23_4
| ~ spl23_5 ),
inference(resolution,[],[f2173,f706]) ).
fof(f2272,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Orderings_Otop__class_Otop(tc_fun(tc_prod(X0,X1),tc_HOL_Obool)) = c_COMBK(X2,X3,X4)
| ~ hBOOL(X4) )
| ~ spl23_57 ),
inference(resolution,[],[f1934,f1534]) ).
fof(f2275,plain,
( ! [X2,X0,X1,X6,X7,X5] :
( c_COMBK(X0,X1,X2) = c_COMBK(X5,X6,X7)
| ~ hBOOL(X7)
| ~ hBOOL(X2) )
| ~ spl23_57 ),
inference(superposition,[],[f2272,f2272]) ).
fof(f2440,plain,
( ! [X2,X0,X1] :
( c_Arrow__Order__Mirabelle_OProf = c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,sF18,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),c_COMBK(X0,X1,X2))
| ~ hBOOL(X2)
| ~ hBOOL(c_Arrow__Order__Mirabelle_OLin) )
| ~ spl23_12
| ~ spl23_57 ),
inference(superposition,[],[f908,f2275]) ).
fof(f2506,definition,
( spl23_109
<=> ! [X2,X0,X1] :
( c_Arrow__Order__Mirabelle_OProf = c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,sF18,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),c_COMBK(X0,X1,X2))
| ~ hBOOL(X2) ) ),
introduced(definition,[new_symbols(definition,[spl23_109])],[avatar_definition]) ).
fof(f2507,plain,
( ! [X2,X0,X1] :
( c_Arrow__Order__Mirabelle_OProf = c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,sF18,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),c_COMBK(X0,X1,X2))
| ~ hBOOL(X2) )
| ~ spl23_109 ),
inference(avatar_component_clause,[],[f2506]) ).
fof(f2524,plain,
( ~ spl23_60
| spl23_109
| ~ spl23_12
| ~ spl23_57 ),
inference(avatar_split_clause,[],[f2440,f1494,f906,f2506,f1613]) ).
fof(f3063,plain,
( ! [X0,X1] :
( hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X0)),sK2(X0,X1)))
| X0 = X1 )
| ~ spl23_4 ),
inference(forward_demodulation,[],[f664,f825]) ).
fof(f3064,plain,
( ! [X0,X1] :
( X0 = X1
| ~ hBOOL(hAPP(hAPP(c_member(sF18),sK2(X0,X1)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0),X1)),sK2(X0,X1))) )
| ~ spl23_4
| ~ spl23_5 ),
inference(resolution,[],[f3063,f2076]) ).
fof(f3068,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0),X1)),sK2(X0,X1)))
| X0 = X1 )
| ~ spl23_4
| ~ spl23_5 ),
inference(forward_subsumption_resolution,[],[f3064,f2173]) ).
fof(f3405,plain,
( ! [X2,X3,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(sF18,c_COMBK(X1,X2,X0),X3)
| hBOOL(X0) )
| ~ spl23_4
| ~ spl23_5 ),
inference(superposition,[],[f860,f669]) ).
fof(f3410,plain,
( ! [X2,X3,X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(sF18,X1,c_COMBK(X2,X3,X0))
| c_COMBK(X2,X3,X0) = X1
| hBOOL(X0) )
| ~ spl23_4
| ~ spl23_5 ),
inference(resolution,[],[f3405,f1339]) ).
fof(f3418,definition,
( spl23_127
<=> ! [X4,X3] : X3 = X4 ),
introduced(definition,[new_symbols(definition,[spl23_127])],[avatar_definition]) ).
fof(f3419,plain,
( ! [X3,X4] : X3 = X4
| ~ spl23_127 ),
inference(avatar_component_clause,[],[f3418]) ).
fof(f3555,plain,
( ! [X0,X1] :
( ~ hBOOL(X0)
| ~ c_Orderings_Oord__class_Oless__eq(sF18,c_Orderings_Otop__class_Otop(sF18),X1) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_127 ),
inference(superposition,[],[f2095,f3419]) ).
fof(f5588,definition,
( spl23_136
<=> ! [X3] : ~ c_Orderings_Oord__class_Oless__eq(sF18,c_Orderings_Otop__class_Otop(sF18),X3) ),
introduced(definition,[new_symbols(definition,[spl23_136])],[avatar_definition]) ).
fof(f5589,plain,
( ! [X3] : ~ c_Orderings_Oord__class_Oless__eq(sF18,c_Orderings_Otop__class_Otop(sF18),X3)
| ~ spl23_136 ),
inference(avatar_component_clause,[],[f5588]) ).
fof(f5595,definition,
( spl23_138
<=> ! [X1] : ~ hBOOL(hAPP(hAPP(sF20,X1),c_Arrow__Order__Mirabelle_OProf)) ),
introduced(definition,[new_symbols(definition,[spl23_138])],[avatar_definition]) ).
fof(f5596,plain,
( ! [X1] : ~ hBOOL(hAPP(hAPP(sF20,X1),c_Arrow__Order__Mirabelle_OProf))
| ~ spl23_138 ),
inference(avatar_component_clause,[],[f5595]) ).
fof(f5602,definition,
( spl23_140
<=> ! [X1] : ~ hBOOL(hAPP(hAPP(c_member(sF18),X1),c_Arrow__Order__Mirabelle_OLin)) ),
introduced(definition,[new_symbols(definition,[spl23_140])],[avatar_definition]) ).
fof(f5603,plain,
( ! [X1] : ~ hBOOL(hAPP(hAPP(c_member(sF18),X1),c_Arrow__Order__Mirabelle_OLin))
| ~ spl23_140 ),
inference(avatar_component_clause,[],[f5602]) ).
fof(f5605,definition,
( spl23_141
<=> ! [X0] : hBOOL(hAPP(hAPP(sF20,X0),c_Arrow__Order__Mirabelle_OProf)) ),
introduced(definition,[new_symbols(definition,[spl23_141])],[avatar_definition]) ).
fof(f5606,plain,
( ! [X0] : hBOOL(hAPP(hAPP(sF20,X0),c_Arrow__Order__Mirabelle_OProf))
| ~ spl23_141 ),
inference(avatar_component_clause,[],[f5605]) ).
fof(f5622,definition,
( spl23_145
<=> ! [X2,X0,X1] : hBOOL(hAPP(hAPP(c_member(X1),X2),X0)) ),
introduced(definition,[new_symbols(definition,[spl23_145])],[avatar_definition]) ).
fof(f5623,plain,
( ! [X2,X0,X1] : hBOOL(hAPP(hAPP(c_member(X1),X2),X0))
| ~ spl23_145 ),
inference(avatar_component_clause,[],[f5622]) ).
fof(f6056,plain,
( spl23_136
| spl23_68
| ~ spl23_4
| ~ spl23_5
| ~ spl23_127 ),
inference(avatar_split_clause,[],[f3555,f3418,f828,f823,f1647,f5588]) ).
fof(f6120,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( c_COMBK(X0,X1,X2) = c_COMBK(X3,X4,X5)
| hBOOL(X2)
| hBOOL(X5) )
| ~ spl23_4
| ~ spl23_5 ),
inference(resolution,[],[f3410,f3405]) ).
fof(f6138,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X3,sF17),tc_HOL_Obool)) = c_FuncSet_OPi(X3,sF17,X4,c_COMBK(X0,X1,X2))
| hBOOL(c_Orderings_Otop__class_Otop(sF18))
| hBOOL(X2) )
| ~ spl23_4
| ~ spl23_5 ),
inference(superposition,[],[f852,f6120]) ).
fof(f6143,plain,
( ! [X2,X0,X1,X5] :
( ~ hBOOL(hAPP(hAPP(sF20,c_COMBK(X0,X1,X2)),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(sF18),X5),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(X5)
| hBOOL(X2) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12 ),
inference(superposition,[],[f1149,f6120]) ).
fof(f6171,plain,
( ! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(sF20,c_COMBK(X0,X1,X2)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(sF18),X3),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(X3)
| hBOOL(X2) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7 ),
inference(superposition,[],[f874,f6120]) ).
fof(f6222,plain,
( ! [X2,X0,X1] :
( c_Arrow__Order__Mirabelle_OProf = c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,sF18,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),c_COMBK(X0,X1,X2))
| hBOOL(X2)
| hBOOL(c_Arrow__Order__Mirabelle_OLin) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_12 ),
inference(superposition,[],[f908,f6120]) ).
fof(f6241,plain,
( ! [X2,X0,X1] :
( c_Arrow__Order__Mirabelle_OProf = c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,sF18,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),c_COMBK(X0,X1,X2))
| hBOOL(X2) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_12
| spl23_60 ),
inference(forward_subsumption_resolution,[],[f6222,f1615]) ).
fof(f6254,definition,
( spl23_205
<=> ! [X5] :
( hBOOL(hAPP(hAPP(c_member(sF18),X5),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(X5) ) ),
introduced(definition,[new_symbols(definition,[spl23_205])],[avatar_definition]) ).
fof(f6255,plain,
( ! [X5] :
( hBOOL(hAPP(hAPP(c_member(sF18),X5),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(X5) )
| ~ spl23_205 ),
inference(avatar_component_clause,[],[f6254]) ).
fof(f6257,definition,
( spl23_206
<=> ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(sF20,c_COMBK(X0,X1,X2)),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(X2) ) ),
introduced(definition,[new_symbols(definition,[spl23_206])],[avatar_definition]) ).
fof(f6258,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(sF20,c_COMBK(X0,X1,X2)),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(X2) )
| ~ spl23_206 ),
inference(avatar_component_clause,[],[f6257]) ).
fof(f6277,plain,
( ! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(sF20,c_COMBK(X0,X1,X2)),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(sF18),X3),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(X2) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_65 ),
inference(forward_subsumption_resolution,[],[f6171,f1636]) ).
fof(f6279,plain,
( spl23_205
| spl23_206
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12 ),
inference(avatar_split_clause,[],[f6143,f906,f838,f833,f828,f823,f6257,f6254]) ).
fof(f6289,definition,
( spl23_209
<=> ! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(sF20,c_COMBK(X0,X1,X2)),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(X2) ) ),
introduced(definition,[new_symbols(definition,[spl23_209])],[avatar_definition]) ).
fof(f6290,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(sF20,c_COMBK(X0,X1,X2)),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(X2) )
| ~ spl23_209 ),
inference(avatar_component_clause,[],[f6289]) ).
fof(f6296,plain,
( spl23_140
| spl23_209
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_65 ),
inference(avatar_split_clause,[],[f6277,f1635,f838,f833,f828,f823,f6289,f5602]) ).
fof(f6406,definition,
( spl23_216
<=> ! [X4,X0,X3,X2,X1] :
( c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X3,sF17),tc_HOL_Obool)) = c_FuncSet_OPi(X3,sF17,X4,c_COMBK(X0,X1,X2))
| hBOOL(X2) ) ),
introduced(definition,[new_symbols(definition,[spl23_216])],[avatar_definition]) ).
fof(f6407,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X3,sF17),tc_HOL_Obool)) = c_FuncSet_OPi(X3,sF17,X4,c_COMBK(X0,X1,X2))
| hBOOL(X2) )
| ~ spl23_216 ),
inference(avatar_component_clause,[],[f6406]) ).
fof(f6411,plain,
( spl23_58
| spl23_216
| ~ spl23_4
| ~ spl23_5 ),
inference(avatar_split_clause,[],[f6138,f828,f823,f6406,f1605]) ).
fof(f6548,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF18)),X0),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Arrow__Order__Mirabelle_Oindi),X2),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))))
| hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X0,X2)),X1))
| hBOOL(X1) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_12
| spl23_60 ),
inference(superposition,[],[f684,f6241]) ).
fof(f6565,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF18)),X0),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X0,X2)),X1))
| hBOOL(X1) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_12
| spl23_60 ),
inference(forward_subsumption_resolution,[],[f6548,f689]) ).
fof(f6573,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(sF19),X0),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X0,X2)),X1))
| hBOOL(X1) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_12
| spl23_60 ),
inference(forward_demodulation,[],[f6565,f835]) ).
fof(f6588,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X0,X2)),X1))
| ~ hBOOL(hAPP(hAPP(sF20,X0),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(X1) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60 ),
inference(forward_demodulation,[],[f6573,f840]) ).
fof(f6595,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(sF20,X0),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(X1)
| hBOOL(hAPP(X1,hAPP(X0,X2))) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60 ),
inference(resolution,[],[f6588,f656]) ).
fof(f6622,definition,
( spl23_226
<=> ! [X2,X0] :
( hBOOL(hAPP(hAPP(c_member(sF18),X0),X2))
| ~ hBOOL(X0)
| hBOOL(X2) ) ),
introduced(definition,[new_symbols(definition,[spl23_226])],[avatar_definition]) ).
fof(f6623,plain,
( ! [X2,X0] :
( hBOOL(hAPP(hAPP(c_member(sF18),X0),X2))
| ~ hBOOL(X0)
| hBOOL(X2) )
| ~ spl23_226 ),
inference(avatar_component_clause,[],[f6622]) ).
fof(f6630,definition,
( spl23_227
<=> ! [X2,X0,X1] :
( c_Arrow__Order__Mirabelle_OProf = c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,sF18,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),c_COMBK(X0,X1,X2))
| hBOOL(X2) ) ),
introduced(definition,[new_symbols(definition,[spl23_227])],[avatar_definition]) ).
fof(f6631,plain,
( ! [X2,X0,X1] :
( c_Arrow__Order__Mirabelle_OProf = c_FuncSet_OPi(tc_Arrow__Order__Mirabelle_Oindi,sF18,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),c_COMBK(X0,X1,X2))
| hBOOL(X2) )
| ~ spl23_227 ),
inference(avatar_component_clause,[],[f6630]) ).
fof(f6683,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF18)),X0),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Arrow__Order__Mirabelle_Oindi),X2),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))))
| hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X0,X2)),X1))
| ~ hBOOL(X1) )
| ~ spl23_109 ),
inference(superposition,[],[f684,f2507]) ).
fof(f6702,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF18)),X0),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X0,X2)),X1))
| ~ hBOOL(X1) )
| ~ spl23_109 ),
inference(forward_subsumption_resolution,[],[f6683,f689]) ).
fof(f6711,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(sF19),X0),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X0,X2)),X1))
| ~ hBOOL(X1) )
| ~ spl23_6
| ~ spl23_109 ),
inference(forward_demodulation,[],[f6702,f835]) ).
fof(f6718,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X0,X2)),X1))
| ~ hBOOL(hAPP(hAPP(sF20,X0),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(X1) )
| ~ spl23_6
| ~ spl23_7
| ~ spl23_109 ),
inference(forward_demodulation,[],[f6711,f840]) ).
fof(f6734,plain,
( ! [X0,X1] : X0 = X1
| ~ spl23_4
| ~ spl23_5
| ~ spl23_140 ),
inference(resolution,[],[f5603,f2173]) ).
fof(f6742,plain,
( spl23_127
| ~ spl23_4
| ~ spl23_5
| ~ spl23_140 ),
inference(avatar_split_clause,[],[f6734,f5602,f828,f823,f3418]) ).
fof(f7143,plain,
( $false
| ~ spl23_5
| ~ spl23_136 ),
inference(resolution,[],[f5589,f863]) ).
fof(f7147,plain,
( ~ spl23_5
| ~ spl23_136 ),
inference(avatar_contradiction_clause,[],[f7143]) ).
fof(f7381,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,c_COMBK(X1,X2,X0)))
| hBOOL(X0) )
| ~ spl23_7
| ~ spl23_206 ),
inference(resolution,[],[f6258,f918]) ).
fof(f7459,plain,
( hBOOL(sK1)
| ~ spl23_7
| ~ spl23_50
| ~ spl23_206 ),
inference(resolution,[],[f7381,f1418]) ).
fof(f7599,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( hBOOL(hAPP(X5,sK6(c_Product__Type_OSigma(X0,X6,X2,X7),hAPP(c_Product__Type_OPair(X0,X6),X1),tc_prod(X0,X6),X5,X3)))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X4),X5))
| hBOOL(hAPP(hAPP(c_member(X0),X1),X2)) ),
inference(resolution,[],[f764,f1048]) ).
fof(f8008,definition,
( spl23_258
<=> ! [X2,X1,X3] :
( ~ hBOOL(c_COMBK(X1,X2,X3))
| hBOOL(X3) ) ),
introduced(definition,[new_symbols(definition,[spl23_258])],[avatar_definition]) ).
fof(f8009,plain,
( ! [X2,X3,X1] :
( ~ hBOOL(c_COMBK(X1,X2,X3))
| hBOOL(X3) )
| ~ spl23_258 ),
inference(avatar_component_clause,[],[f8008]) ).
fof(f8098,plain,
! [X2,X3,X0,X1,X8,X9,X7,X5] :
( hBOOL(X0)
| ~ hBOOL(hAPP(hAPP(c_member(X8),X9),c_COMBK(X1,X2,X0)))
| hBOOL(hAPP(hAPP(c_member(X3),X7),X5)) ),
inference(superposition,[],[f7599,f669]) ).
fof(f8101,definition,
( spl23_259
<=> ! [X0,X8,X9,X2,X1] :
( hBOOL(X0)
| ~ hBOOL(hAPP(hAPP(c_member(X8),X9),c_COMBK(X1,X2,X0))) ) ),
introduced(definition,[new_symbols(definition,[spl23_259])],[avatar_definition]) ).
fof(f8102,plain,
( ! [X2,X0,X1,X8,X9] :
( ~ hBOOL(hAPP(hAPP(c_member(X8),X9),c_COMBK(X1,X2,X0)))
| hBOOL(X0) )
| ~ spl23_259 ),
inference(avatar_component_clause,[],[f8101]) ).
fof(f8103,plain,
( spl23_145
| spl23_259 ),
inference(avatar_split_clause,[],[f8098,f8101,f5622]) ).
fof(f8250,plain,
( hBOOL(hAPP(sF21,c_Arrow__Order__Mirabelle_OProf))
| ~ spl23_8
| ~ spl23_141 ),
inference(superposition,[],[f5606,f845]) ).
fof(f8255,plain,
( hBOOL(sF22)
| ~ spl23_8
| ~ spl23_9
| ~ spl23_141 ),
inference(forward_demodulation,[],[f8250,f850]) ).
fof(f8261,plain,
( $false
| spl23_3
| ~ spl23_8
| ~ spl23_9
| ~ spl23_141 ),
inference(forward_subsumption_resolution,[],[f8255,f820]) ).
fof(f8262,plain,
( spl23_3
| ~ spl23_8
| ~ spl23_9
| ~ spl23_141 ),
inference(avatar_contradiction_clause,[],[f8261]) ).
fof(f8753,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(sF18),X0),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1),X2)),X0)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_145 ),
inference(resolution,[],[f5623,f2076]) ).
fof(f8794,plain,
( ! [X0] : ~ hBOOL(hAPP(hAPP(c_member(sF18),X0),c_Arrow__Order__Mirabelle_OLin))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_145 ),
inference(forward_subsumption_resolution,[],[f8753,f5623]) ).
fof(f8801,plain,
( $false
| ~ spl23_4
| ~ spl23_5
| ~ spl23_145 ),
inference(forward_subsumption_resolution,[],[f8794,f5623]) ).
fof(f8802,plain,
( ~ spl23_4
| ~ spl23_5
| ~ spl23_145 ),
inference(avatar_contradiction_clause,[],[f8801]) ).
fof(f8810,plain,
( ! [X2,X3,X0,X1] :
( hBOOL(X0)
| ~ hBOOL(hAPP(hAPP(sF20,X1),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(c_COMBK(X2,X3,X0)) )
| ~ spl23_6
| ~ spl23_7
| ~ spl23_109
| ~ spl23_259 ),
inference(resolution,[],[f8102,f6718]) ).
fof(f8951,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X0,sF17)),X1),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(X0,sF17),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(c_member(X0),X4),X2))
| hBOOL(hAPP(hAPP(c_member(sF17),hAPP(X1,X4)),X3))
| hBOOL(X3) )
| ~ spl23_216 ),
inference(superposition,[],[f684,f6407]) ).
fof(f8968,plain,
( ! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP(hAPP(c_member(sF17),hAPP(X1,X4)),X3))
| ~ hBOOL(hAPP(hAPP(c_member(X0),X4),X2))
| hBOOL(X3) )
| ~ spl23_216 ),
inference(forward_subsumption_resolution,[],[f8951,f689]) ).
fof(f9117,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ hBOOL(hAPP(hAPP(c_member(X0),X1),X2))
| hBOOL(c_COMBK(X3,X4,X5))
| hBOOL(X5) )
| ~ spl23_216
| ~ spl23_259 ),
inference(resolution,[],[f8968,f8102]) ).
fof(f9166,plain,
( ! [X2,X0,X1,X5] :
( ~ hBOOL(hAPP(hAPP(c_member(X0),X1),X2))
| hBOOL(X5) )
| ~ spl23_216
| ~ spl23_258
| ~ spl23_259 ),
inference(forward_subsumption_resolution,[],[f9117,f8009]) ).
fof(f9179,plain,
( spl23_24
| spl23_56
| ~ spl23_216
| ~ spl23_258
| ~ spl23_259 ),
inference(avatar_split_clause,[],[f9166,f8101,f8008,f6406,f1491,f1086]) ).
fof(f9688,plain,
( ! [X0] : ~ hBOOL(hAPP(hAPP(c_member(sF18),X0),c_Arrow__Order__Mirabelle_OLin))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_138 ),
inference(resolution,[],[f5596,f874]) ).
fof(f9699,plain,
( spl23_140
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_138 ),
inference(avatar_split_clause,[],[f9688,f5595,f838,f833,f828,f823,f5602]) ).
fof(f9704,plain,
( spl23_227
| ~ spl23_4
| ~ spl23_5
| ~ spl23_12
| spl23_60 ),
inference(avatar_split_clause,[],[f6241,f1613,f906,f828,f823,f6630]) ).
fof(f9788,plain,
( spl23_138
| spl23_258
| ~ spl23_6
| ~ spl23_7
| ~ spl23_109
| ~ spl23_259 ),
inference(avatar_split_clause,[],[f8810,f8101,f2506,f838,f833,f8008,f5595]) ).
fof(f10298,plain,
( ! [X0] :
( hBOOL(hAPP(sF21,c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(X0,hAPP(v_Q____,sK6(X0,v_Q____,sF18,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi))))
| ~ hBOOL(X0) )
| ~ spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_109 ),
inference(superposition,[],[f1900,f2507]) ).
fof(f10302,plain,
( ! [X0] :
( hBOOL(sF22)
| ~ hBOOL(hAPP(X0,hAPP(v_Q____,sK6(X0,v_Q____,sF18,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi))))
| ~ hBOOL(X0) )
| ~ spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_109 ),
inference(forward_demodulation,[],[f10298,f850]) ).
fof(f10305,plain,
( ! [X0] :
( ~ hBOOL(hAPP(X0,hAPP(v_Q____,sK6(X0,v_Q____,sF18,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi))))
| ~ hBOOL(X0) )
| spl23_3
| ~ spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_109 ),
inference(forward_subsumption_resolution,[],[f10302,f820]) ).
fof(f10375,plain,
( ! [X0] :
( ~ hBOOL(X0)
| ~ hBOOL(c_Orderings_Otop__class_Otop(sF18))
| ~ hBOOL(X0) )
| spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_57
| ~ spl23_109 ),
inference(superposition,[],[f10305,f1583]) ).
fof(f10376,plain,
( ! [X0] :
( ~ hBOOL(X0)
| ~ hBOOL(c_Orderings_Otop__class_Otop(sF18)) )
| spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_57
| ~ spl23_109 ),
inference(duplicate_literal_removal,[],[f10375]) ).
fof(f10377,plain,
( ! [X0] : ~ hBOOL(X0)
| spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_57
| ~ spl23_58
| ~ spl23_109 ),
inference(forward_subsumption_resolution,[],[f10376,f1606]) ).
fof(f10397,plain,
( spl23_68
| spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_57
| ~ spl23_58
| ~ spl23_109 ),
inference(avatar_split_clause,[],[f10377,f2506,f1605,f1494,f848,f843,f838,f833,f828,f823,f818,f1647]) ).
fof(f10454,plain,
( spl23_64
| ~ spl23_7
| ~ spl23_50
| ~ spl23_206 ),
inference(avatar_split_clause,[],[f7459,f6257,f1416,f838,f1630]) ).
fof(f10484,definition,
( spl23_379
<=> ! [X2,X0,X1] :
( hBOOL(c_COMBK(X0,X1,X2))
| ~ hBOOL(X2) ) ),
introduced(definition,[new_symbols(definition,[spl23_379])],[avatar_definition]) ).
fof(f10485,plain,
( ! [X2,X0,X1] :
( hBOOL(c_COMBK(X0,X1,X2))
| ~ hBOOL(X2) )
| ~ spl23_379 ),
inference(avatar_component_clause,[],[f10484]) ).
fof(f10533,plain,
( ! [X0] :
( hBOOL(hAPP(sF21,c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(X0,hAPP(v_Q____,sK6(X0,v_Q____,sF18,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi))))
| hBOOL(X0) )
| ~ spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_227 ),
inference(superposition,[],[f1900,f6631]) ).
fof(f10537,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF18)),X0),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Arrow__Order__Mirabelle_Oindi),X2),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))))
| hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X0,X2)),X1))
| hBOOL(X1) )
| ~ spl23_227 ),
inference(superposition,[],[f684,f6631]) ).
fof(f10538,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,X1))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Arrow__Order__Mirabelle_Oindi),X2),c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool))))
| hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X1,X2)),X0))
| hBOOL(X0) )
| ~ spl23_227 ),
inference(superposition,[],[f916,f6631]) ).
fof(f10566,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X1,X2)),X0))
| ~ hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,X1))
| hBOOL(X0) )
| ~ spl23_227 ),
inference(forward_subsumption_resolution,[],[f10538,f689]) ).
fof(f10567,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF18)),X0),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X0,X2)),X1))
| hBOOL(X1) )
| ~ spl23_227 ),
inference(forward_subsumption_resolution,[],[f10537,f689]) ).
fof(f10569,plain,
( ! [X0] :
( hBOOL(sF22)
| ~ hBOOL(hAPP(X0,hAPP(v_Q____,sK6(X0,v_Q____,sF18,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi))))
| hBOOL(X0) )
| ~ spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_227 ),
inference(forward_demodulation,[],[f10533,f850]) ).
fof(f10577,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(sF19),X0),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X0,X2)),X1))
| hBOOL(X1) )
| ~ spl23_6
| ~ spl23_227 ),
inference(forward_demodulation,[],[f10567,f835]) ).
fof(f10579,plain,
( ! [X0] :
( ~ hBOOL(hAPP(X0,hAPP(v_Q____,sK6(X0,v_Q____,sF18,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi))))
| hBOOL(X0) )
| spl23_3
| ~ spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_227 ),
inference(forward_subsumption_resolution,[],[f10569,f820]) ).
fof(f10584,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(sF18),hAPP(X0,X2)),X1))
| ~ hBOOL(hAPP(hAPP(sF20,X0),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(X1) )
| ~ spl23_6
| ~ spl23_7
| ~ spl23_227 ),
inference(forward_demodulation,[],[f10577,f840]) ).
fof(f10733,plain,
( ! [X2,X0] :
( hBOOL(hAPP(hAPP(c_member(sF18),X0),X2))
| ~ hBOOL(hAPP(hAPP(sF20,c_Orderings_Otop__class_Otop(sF18)),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(X2)
| ~ hBOOL(X0) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_57
| ~ spl23_227 ),
inference(superposition,[],[f10584,f1583]) ).
fof(f10736,plain,
( ~ spl23_66
| spl23_226
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_57
| ~ spl23_227 ),
inference(avatar_split_clause,[],[f10733,f6630,f1494,f838,f833,f828,f823,f6622,f1638]) ).
fof(f10844,plain,
( ! [X2,X0,X1] :
( hBOOL(X0)
| hBOOL(hAPP(X0,hAPP(c_COMBK(sF18,tc_Arrow__Order__Mirabelle_Oindi,X1),X2)))
| ~ hBOOL(hAPP(hAPP(c_member(sF18),X1),c_Arrow__Order__Mirabelle_OLin)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60 ),
inference(resolution,[],[f6595,f874]) ).
fof(f10845,plain,
( ! [X2,X3,X0,X1,X4] :
( hBOOL(X0)
| hBOOL(hAPP(X0,hAPP(c_COMBK(X1,X2,X3),X4)))
| hBOOL(X3) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_209 ),
inference(resolution,[],[f6595,f6290]) ).
fof(f10851,plain,
( ! [X3,X0] :
( hBOOL(hAPP(X0,X3))
| hBOOL(X0)
| hBOOL(X3) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_209 ),
inference(forward_demodulation,[],[f10845,f669]) ).
fof(f10852,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(sF18),X1),c_Arrow__Order__Mirabelle_OLin))
| hBOOL(X0)
| hBOOL(hAPP(X0,X1)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60 ),
inference(forward_demodulation,[],[f10844,f669]) ).
fof(f10872,plain,
( ! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(X0),X1),X3))
| hBOOL(X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool),X2,X3)
| hBOOL(hAPP(c_member(X0),X1)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_209 ),
inference(resolution,[],[f10851,f706]) ).
fof(f10873,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP(c_member(X0),X1))
| hBOOL(X2)
| hBOOL(hAPP(X2,X1)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_209 ),
inference(resolution,[],[f10851,f656]) ).
fof(f11084,plain,
( ! [X0,X1] :
( hBOOL(hAPP(hAPP(c_member(X0),X1),X1))
| hBOOL(hAPP(c_member(X0),X1)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_209 ),
inference(factoring,[],[f10873]) ).
fof(f11085,plain,
( ! [X0,X1] :
( hBOOL(hAPP(c_member(X0),X1))
| hBOOL(c_member(X0)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_209 ),
inference(factoring,[],[f10873]) ).
fof(f11102,plain,
( ! [X0] :
( hBOOL(c_member(X0))
| hBOOL(c_member(X0)) )
| spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_12
| spl23_60
| ~ spl23_209
| ~ spl23_227 ),
inference(resolution,[],[f11085,f10579]) ).
fof(f11104,plain,
( ! [X0] : hBOOL(c_member(X0))
| spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_12
| spl23_60
| ~ spl23_209
| ~ spl23_227 ),
inference(duplicate_literal_removal,[],[f11102]) ).
fof(f11221,plain,
( ! [X2,X0,X1] :
( hBOOL(X0)
| hBOOL(hAPP(X0,sK2(X1,X2)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_fun(sF18,tc_HOL_Obool),c_Arrow__Order__Mirabelle_OLin,c_Arrow__Order__Mirabelle_OLin)
| X1 = X2 )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60 ),
inference(resolution,[],[f10852,f2177]) ).
fof(f11230,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP(X0,sK2(X1,X2)))
| hBOOL(X0)
| X1 = X2 )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60 ),
inference(forward_subsumption_resolution,[],[f11221,f718]) ).
fof(f11286,plain,
( ! [X0,X1] :
( hBOOL(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0),X1)))
| X0 = X1
| X0 = X1 )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60 ),
inference(resolution,[],[f11230,f3068]) ).
fof(f11311,plain,
( ! [X0,X1] :
( hBOOL(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0),X1)))
| X0 = X1 )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60 ),
inference(duplicate_literal_removal,[],[f11286]) ).
fof(f11387,plain,
( ! [X0] :
( sK11(c_member(sF17),X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sK12(c_member(sF17),X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X0,c_member(sF17)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60 ),
inference(resolution,[],[f11311,f913]) ).
fof(f11399,plain,
( ! [X0] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(sF17,tc_HOL_Obool),X0,c_member(sF17))
| sK11(c_member(sF17),X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sK12(c_member(sF17),X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60 ),
inference(forward_demodulation,[],[f11387,f825]) ).
fof(f11401,definition,
( spl23_427
<=> ! [X0] : hBOOL(hAPP(c_member(sF17),X0)) ),
introduced(definition,[new_symbols(definition,[spl23_427])],[avatar_definition]) ).
fof(f11402,plain,
( ! [X0] : hBOOL(hAPP(c_member(sF17),X0))
| ~ spl23_427 ),
inference(avatar_component_clause,[],[f11401]) ).
fof(f11408,plain,
( ! [X0] :
( sK11(c_member(sF17),X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sK12(c_member(sF17),X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| c_Orderings_Oord__class_Oless__eq(sF18,X0,c_member(sF17)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60 ),
inference(forward_demodulation,[],[f11399,f830]) ).
fof(f11505,plain,
( ! [X2,X3,X0,X1] :
( hBOOL(hAPP(c_member(X0),c_COMBK(X1,X2,X3)))
| hBOOL(X3) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_209
| ~ spl23_259 ),
inference(resolution,[],[f11084,f8102]) ).
fof(f11625,plain,
( ! [X0] :
( ~ hBOOL(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sK11(c_member(sF17),X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),sK11(c_member(sF17),X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X0,c_member(sF17))
| c_Orderings_Oord__class_Oless__eq(sF18,X0,c_member(sF17)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60 ),
inference(superposition,[],[f913,f11408]) ).
fof(f11629,plain,
( ! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sK11(c_member(sF17),X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),sK11(c_member(sF17),X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),X0))
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X0,c_member(sF17))
| c_Orderings_Oord__class_Oless__eq(sF18,X0,c_member(sF17)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60 ),
inference(superposition,[],[f701,f11408]) ).
fof(f11648,plain,
( ! [X0] :
( hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sK11(c_member(sF17),X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),sK11(c_member(sF17),X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),X0))
| c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X0,c_member(sF17))
| c_Orderings_Oord__class_Oless__eq(sF18,X0,c_member(sF17)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60 ),
inference(forward_demodulation,[],[f11629,f825]) ).
fof(f11652,plain,
( ! [X0] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),X0,c_member(sF17))
| c_Orderings_Oord__class_Oless__eq(sF18,X0,c_member(sF17)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_427 ),
inference(forward_subsumption_resolution,[],[f11625,f11402]) ).
fof(f11653,plain,
( ! [X0] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(sF17,tc_HOL_Obool),X0,c_member(sF17))
| hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sK11(c_member(sF17),X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),sK11(c_member(sF17),X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),X0))
| c_Orderings_Oord__class_Oless__eq(sF18,X0,c_member(sF17)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60 ),
inference(forward_demodulation,[],[f11648,f825]) ).
fof(f11658,plain,
( ! [X0] :
( c_Orderings_Oord__class_Oless__eq(tc_fun(sF17,tc_HOL_Obool),X0,c_member(sF17))
| c_Orderings_Oord__class_Oless__eq(sF18,X0,c_member(sF17)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_427 ),
inference(forward_demodulation,[],[f11652,f825]) ).
fof(f11659,plain,
( ! [X0] :
( c_Orderings_Oord__class_Oless__eq(sF18,X0,c_member(sF17))
| hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sK11(c_member(sF17),X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),sK11(c_member(sF17),X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),X0))
| c_Orderings_Oord__class_Oless__eq(sF18,X0,c_member(sF17)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60 ),
inference(forward_demodulation,[],[f11653,f830]) ).
fof(f11660,plain,
( ! [X0] :
( hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sK11(c_member(sF17),X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),sK11(c_member(sF17),X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),X0))
| c_Orderings_Oord__class_Oless__eq(sF18,X0,c_member(sF17)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60 ),
inference(duplicate_literal_removal,[],[f11659]) ).
fof(f11664,plain,
( ! [X0] :
( c_Orderings_Oord__class_Oless__eq(sF18,X0,c_member(sF17))
| c_Orderings_Oord__class_Oless__eq(sF18,X0,c_member(sF17)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_427 ),
inference(forward_demodulation,[],[f11658,f830]) ).
fof(f11665,plain,
( ! [X0] : c_Orderings_Oord__class_Oless__eq(sF18,X0,c_member(sF17))
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_427 ),
inference(duplicate_literal_removal,[],[f11664]) ).
fof(f11679,plain,
( c_Orderings_Otop__class_Otop(sF18) = c_member(sF17)
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_427 ),
inference(resolution,[],[f11665,f1341]) ).
fof(f11693,definition,
( spl23_448
<=> c_Orderings_Otop__class_Otop(sF18) = c_member(sF17) ),
introduced(definition,[new_symbols(definition,[spl23_448])],[avatar_definition]) ).
fof(f11695,plain,
( c_Orderings_Otop__class_Otop(sF18) = c_member(sF17)
| ~ spl23_448 ),
inference(avatar_component_clause,[],[f11693]) ).
fof(f11696,plain,
( spl23_448
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_427 ),
inference(avatar_split_clause,[],[f11679,f11401,f1613,f906,f838,f833,f828,f823,f11693]) ).
fof(f11745,plain,
( ! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Otop__class_Otop(sF18),X0),X1))
| hBOOL(hAPP(X1,X0)) )
| ~ spl23_448 ),
inference(superposition,[],[f656,f11695]) ).
fof(f12109,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(X0,X2))
| hBOOL(hAPP(X2,X1))
| ~ hBOOL(X0) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_57
| ~ spl23_448 ),
inference(superposition,[],[f11745,f1583]) ).
fof(f12228,plain,
( ! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP(c_COMBK(X0,X1,X2),X3))
| ~ hBOOL(c_member(X4))
| hBOOL(X2) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| ~ spl23_57
| spl23_60
| ~ spl23_209
| ~ spl23_259
| ~ spl23_448 ),
inference(resolution,[],[f12109,f11505]) ).
fof(f12381,plain,
( ! [X2,X3,X0,X1] :
( hBOOL(hAPP(c_COMBK(X0,X1,X2),X3))
| hBOOL(X2) )
| spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_12
| ~ spl23_57
| spl23_60
| ~ spl23_209
| ~ spl23_227
| ~ spl23_259
| ~ spl23_448 ),
inference(forward_subsumption_resolution,[],[f12228,f11104]) ).
fof(f12497,plain,
( ! [X2] :
( hBOOL(X2)
| hBOOL(X2) )
| spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_12
| ~ spl23_57
| spl23_60
| ~ spl23_209
| ~ spl23_227
| ~ spl23_259
| ~ spl23_448 ),
inference(forward_demodulation,[],[f12381,f669]) ).
fof(f12498,plain,
( ! [X2] : hBOOL(X2)
| spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_12
| ~ spl23_57
| spl23_60
| ~ spl23_209
| ~ spl23_227
| ~ spl23_259
| ~ spl23_448 ),
inference(duplicate_literal_removal,[],[f12497]) ).
fof(f12535,plain,
( spl23_24
| spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_12
| ~ spl23_57
| spl23_60
| ~ spl23_209
| ~ spl23_227
| ~ spl23_259
| ~ spl23_448 ),
inference(avatar_split_clause,[],[f12498,f11693,f8101,f6630,f6289,f1613,f1494,f906,f848,f843,f838,f833,f828,f823,f818,f1086]) ).
fof(f12564,plain,
( ! [X0] :
( c_Orderings_Oord__class_Oless__eq(sF18,X0,c_member(sF17))
| ~ hBOOL(hAPP(hAPP(c_member(sF18),X0),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(sF17),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),sK11(c_member(sF17),X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),sK11(c_member(sF17),X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),X0)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60 ),
inference(resolution,[],[f11660,f2076]) ).
fof(f12573,plain,
( ! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(sF18),X0),c_Arrow__Order__Mirabelle_OLin))
| c_Orderings_Oord__class_Oless__eq(sF18,X0,c_member(sF17)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60 ),
inference(forward_subsumption_resolution,[],[f12564,f11660]) ).
fof(f13292,plain,
( ! [X2,X0] :
( hBOOL(hAPP(hAPP(c_member(sF18),X0),X2))
| ~ hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,c_Orderings_Otop__class_Otop(sF18)))
| hBOOL(X2)
| ~ hBOOL(X0) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_57
| ~ spl23_227 ),
inference(superposition,[],[f10566,f1583]) ).
fof(f13462,plain,
( ! [X2,X3,X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool),X0,X2)
| hBOOL(X0)
| hBOOL(hAPP(c_member(X1),X3))
| hBOOL(hAPP(X2,X3)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_209 ),
inference(resolution,[],[f10872,f656]) ).
fof(f13522,definition,
( spl23_539
<=> ! [X0] :
( ~ c_Orderings_Oord__class_Oless__eq(sF18,X0,c_member(sF17))
| hBOOL(X0) ) ),
introduced(definition,[new_symbols(definition,[spl23_539])],[avatar_definition]) ).
fof(f13523,plain,
( ! [X0] :
( ~ c_Orderings_Oord__class_Oless__eq(sF18,X0,c_member(sF17))
| hBOOL(X0) )
| ~ spl23_539 ),
inference(avatar_component_clause,[],[f13522]) ).
fof(f13535,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP(c_member(sF17),X2))
| hBOOL(X0)
| ~ c_Orderings_Oord__class_Oless__eq(sF18,X0,X1)
| hBOOL(hAPP(X1,X2)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_209 ),
inference(superposition,[],[f13462,f830]) ).
fof(f13547,plain,
( ! [X0,X1] :
( hBOOL(hAPP(c_member(sF17),X0))
| hBOOL(X1)
| ~ c_Orderings_Oord__class_Oless__eq(sF18,X1,c_member(sF17)) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_209 ),
inference(factoring,[],[f13535]) ).
fof(f13548,plain,
( spl23_539
| spl23_427
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_209 ),
inference(avatar_split_clause,[],[f13547,f6289,f1613,f906,f838,f833,f828,f823,f11401,f13522]) ).
fof(f13603,plain,
( ! [X0] :
( c_Orderings_Oord__class_Oless__eq(sF18,X0,c_member(sF17))
| hBOOL(X0) )
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_205 ),
inference(resolution,[],[f12573,f6255]) ).
fof(f13644,plain,
( ! [X0] : hBOOL(X0)
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_205
| ~ spl23_539 ),
inference(forward_subsumption_resolution,[],[f13603,f13523]) ).
fof(f13646,plain,
( spl23_24
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_205
| ~ spl23_539 ),
inference(avatar_split_clause,[],[f13644,f13522,f6254,f1613,f906,f838,f833,f828,f823,f1086]) ).
fof(f13753,plain,
( ~ spl23_63
| spl23_226
| ~ spl23_4
| ~ spl23_5
| ~ spl23_57
| ~ spl23_227 ),
inference(avatar_split_clause,[],[f13292,f6630,f1494,f828,f823,f6622,f1625]) ).
fof(f20789,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X0,X1)),X2),c_FuncSet_OPi(X0,X1,X3,c_COMBK(X4,X5,X6))))
| ~ hBOOL(hAPP(X6,hAPP(X2,sK5(c_COMBK(X4,X5,X6),X2,X1,X3,X0)))) ),
inference(resolution,[],[f2057,f657]) ).
fof(f20870,plain,
( ! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF18)),X0),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(X3,hAPP(X0,sK5(c_COMBK(X1,X2,X3),X0,sF18,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi))))
| hBOOL(X3) )
| ~ spl23_227 ),
inference(superposition,[],[f20789,f6631]) ).
fof(f20879,plain,
( ! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(sF19),X0),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(X3,hAPP(X0,sK5(c_COMBK(X1,X2,X3),X0,sF18,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi))))
| hBOOL(X3) )
| ~ spl23_6
| ~ spl23_227 ),
inference(forward_demodulation,[],[f20870,f835]) ).
fof(f20885,plain,
( ! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(X3,hAPP(X0,sK5(c_COMBK(X1,X2,X3),X0,sF18,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_HOL_Obool)),tc_Arrow__Order__Mirabelle_Oindi))))
| hBOOL(hAPP(hAPP(sF20,X0),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(X3) )
| ~ spl23_6
| ~ spl23_7
| ~ spl23_227 ),
inference(forward_demodulation,[],[f20879,f840]) ).
fof(f21197,plain,
( ! [X2,X3,X0,X1] :
( ~ hBOOL(X0)
| hBOOL(hAPP(hAPP(sF20,X3),c_Arrow__Order__Mirabelle_OProf))
| hBOOL(c_COMBK(X1,X2,X0)) )
| ~ spl23_6
| ~ spl23_7
| ~ spl23_227 ),
inference(superposition,[],[f20885,f669]) ).
fof(f22160,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(X0)
| ~ hBOOL(c_COMBK(X1,X2,X0))
| hBOOL(c_Arrow__Order__Mirabelle_OLin) )
| ~ spl23_91
| ~ spl23_226 ),
inference(resolution,[],[f2109,f6623]) ).
fof(f22179,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(X0)
| ~ hBOOL(c_COMBK(X1,X2,X0)) )
| spl23_60
| ~ spl23_91
| ~ spl23_226 ),
inference(forward_subsumption_resolution,[],[f22160,f1615]) ).
fof(f22181,plain,
( ! [X0] : ~ hBOOL(X0)
| spl23_60
| ~ spl23_91
| ~ spl23_226
| ~ spl23_379 ),
inference(forward_subsumption_resolution,[],[f22179,f10485]) ).
fof(f22182,plain,
( spl23_68
| spl23_60
| ~ spl23_91
| ~ spl23_226
| ~ spl23_379 ),
inference(avatar_split_clause,[],[f22181,f10484,f6622,f2108,f1613,f1647]) ).
fof(f22259,plain,
( spl23_141
| spl23_379
| ~ spl23_6
| ~ spl23_7
| ~ spl23_227 ),
inference(avatar_split_clause,[],[f21197,f6630,f838,f833,f10484,f5605]) ).
cnf(s1,plain,
spl23_1,
inference(sat_conversion,[],[f811]) ).
cnf(s2,plain,
spl23_2,
inference(sat_conversion,[],[f816]) ).
cnf(s3,plain,
~ spl23_3,
inference(sat_conversion,[],[f821]) ).
cnf(s4,plain,
spl23_4,
inference(sat_conversion,[],[f826]) ).
cnf(s5,plain,
spl23_5,
inference(sat_conversion,[],[f831]) ).
cnf(s6,plain,
spl23_6,
inference(sat_conversion,[],[f836]) ).
cnf(s7,plain,
spl23_7,
inference(sat_conversion,[],[f841]) ).
cnf(s8,plain,
spl23_8,
inference(sat_conversion,[],[f846]) ).
cnf(s9,plain,
spl23_9,
inference(sat_conversion,[],[f851]) ).
cnf(s10,plain,
( ~ spl23_1
| ~ spl23_4
| ~ spl23_5
| spl23_10 ),
inference(sat_conversion,[],[f894]) ).
cnf(s12,plain,
( ~ spl23_2
| ~ spl23_4
| ~ spl23_5
| spl23_12 ),
inference(sat_conversion,[],[f909]) ).
cnf(s22,plain,
( spl23_3
| ~ spl23_24 ),
inference(sat_conversion,[],[f1107]) ).
cnf(s41,plain,
( ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_10
| spl23_50 ),
inference(sat_conversion,[],[f1419]) ).
cnf(s46,plain,
( spl23_56
| spl23_57 ),
inference(sat_conversion,[],[f1496]) ).
cnf(s52,plain,
~ spl23_56,
inference(sat_conversion,[],[f1532]) ).
cnf(s60,plain,
( ~ spl23_4
| ~ spl23_5
| ~ spl23_50
| ~ spl23_57
| spl23_63
| ~ spl23_64 ),
inference(sat_conversion,[],[f1633]) ).
cnf(s61,plain,
( ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_57
| spl23_65
| spl23_66 ),
inference(sat_conversion,[],[f1641]) ).
cnf(s81,plain,
~ spl23_68,
inference(sat_conversion,[],[f1719]) ).
cnf(s123,plain,
( ~ spl23_4
| ~ spl23_5
| spl23_56
| ~ spl23_57
| spl23_91 ),
inference(sat_conversion,[],[f2110]) ).
cnf(s159,plain,
( ~ spl23_12
| ~ spl23_57
| ~ spl23_60
| spl23_109 ),
inference(sat_conversion,[],[f2524]) ).
cnf(s538,plain,
( ~ spl23_4
| ~ spl23_5
| spl23_68
| ~ spl23_127
| spl23_136 ),
inference(sat_conversion,[],[f6056]) ).
cnf(s610,plain,
( ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_205
| spl23_206 ),
inference(sat_conversion,[],[f6279]) ).
cnf(s618,plain,
( ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_65
| spl23_140
| spl23_209 ),
inference(sat_conversion,[],[f6296]) ).
cnf(s661,plain,
( ~ spl23_4
| ~ spl23_5
| spl23_58
| spl23_216 ),
inference(sat_conversion,[],[f6411]) ).
cnf(s757,plain,
( ~ spl23_4
| ~ spl23_5
| spl23_127
| ~ spl23_140 ),
inference(sat_conversion,[],[f6742]) ).
cnf(s779,plain,
( ~ spl23_5
| ~ spl23_136 ),
inference(sat_conversion,[],[f7147]) ).
cnf(s837,plain,
( spl23_145
| spl23_259 ),
inference(sat_conversion,[],[f8103]) ).
cnf(s855,plain,
( spl23_3
| ~ spl23_8
| ~ spl23_9
| ~ spl23_141 ),
inference(sat_conversion,[],[f8262]) ).
cnf(s908,plain,
( ~ spl23_4
| ~ spl23_5
| ~ spl23_145 ),
inference(sat_conversion,[],[f8802]) ).
cnf(s931,plain,
( spl23_24
| spl23_56
| ~ spl23_216
| ~ spl23_258
| ~ spl23_259 ),
inference(sat_conversion,[],[f9179]) ).
cnf(s1002,plain,
( ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_138
| spl23_140 ),
inference(sat_conversion,[],[f9699]) ).
cnf(s1006,plain,
( ~ spl23_4
| ~ spl23_5
| ~ spl23_12
| spl23_60
| spl23_227 ),
inference(sat_conversion,[],[f9704]) ).
cnf(s1039,plain,
( ~ spl23_6
| ~ spl23_7
| ~ spl23_109
| spl23_138
| spl23_258
| ~ spl23_259 ),
inference(sat_conversion,[],[f9788]) ).
cnf(s1107,plain,
( spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_57
| ~ spl23_58
| spl23_68
| ~ spl23_109 ),
inference(sat_conversion,[],[f10397]) ).
cnf(s1169,plain,
( ~ spl23_7
| ~ spl23_50
| spl23_64
| ~ spl23_206 ),
inference(sat_conversion,[],[f10454]) ).
cnf(s1229,plain,
( ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_57
| ~ spl23_66
| spl23_226
| ~ spl23_227 ),
inference(sat_conversion,[],[f10736]) ).
cnf(s1342,plain,
( ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_427
| spl23_448 ),
inference(sat_conversion,[],[f11696]) ).
cnf(s1420,plain,
( spl23_3
| ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_8
| ~ spl23_9
| ~ spl23_12
| spl23_24
| ~ spl23_57
| spl23_60
| ~ spl23_209
| ~ spl23_227
| ~ spl23_259
| ~ spl23_448 ),
inference(sat_conversion,[],[f12535]) ).
cnf(s1502,plain,
( ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_60
| ~ spl23_209
| spl23_427
| spl23_539 ),
inference(sat_conversion,[],[f13548]) ).
cnf(s1511,plain,
( ~ spl23_4
| ~ spl23_5
| ~ spl23_6
| ~ spl23_7
| ~ spl23_12
| spl23_24
| spl23_60
| ~ spl23_205
| ~ spl23_539 ),
inference(sat_conversion,[],[f13646]) ).
cnf(s1595,plain,
( ~ spl23_4
| ~ spl23_5
| ~ spl23_57
| ~ spl23_63
| spl23_226
| ~ spl23_227 ),
inference(sat_conversion,[],[f13753]) ).
cnf(s2075,plain,
( spl23_60
| spl23_68
| ~ spl23_91
| ~ spl23_226
| ~ spl23_379 ),
inference(sat_conversion,[],[f22182]) ).
cnf(s2133,plain,
( ~ spl23_6
| ~ spl23_7
| spl23_141
| ~ spl23_227
| spl23_379 ),
inference(sat_conversion,[],[f22259]) ).
cnf(s2146,plain,
spl23_57,
inference(rat,[],[s46,s52]) ).
cnf(s2164,plain,
~ spl23_136,
inference(rat,[],[s779,s5]) ).
cnf(s2169,plain,
~ spl23_145,
inference(rat,[],[s908,s5,s4]) ).
cnf(s2172,plain,
~ spl23_127,
inference(rat,[],[s538,s2164,s5,s81,s4]) ).
cnf(s2177,plain,
spl23_91,
inference(rat,[],[s123,s5,s2146,s52,s4]) ).
cnf(s2184,plain,
spl23_259,
inference(rat,[],[s837,s2169]) ).
cnf(s2187,plain,
~ spl23_140,
inference(rat,[],[s757,s4,s5,s2172]) ).
cnf(s2193,plain,
~ spl23_138,
inference(rat,[],[s1002,s4,s5,s7,s6,s2187]) ).
cnf(s2194,plain,
~ spl23_141,
inference(rat,[],[s855,s8,s9,s3]) ).
cnf(s2197,plain,
~ spl23_24,
inference(rat,[],[s22,s3]) ).
cnf(s2206,plain,
spl23_12,
inference(rat,[],[s12,s4,s5,s2]) ).
cnf(s2228,plain,
spl23_10,
inference(rat,[],[s10,s4,s5,s1]) ).
cnf(s2231,plain,
spl23_50,
inference(rat,[],[s41,s4,s5,s7,s6,s2228]) ).
cnf(s2232,plain,
spl23_60,
inference(rat,[],[s1502,s1342,s1511,s1420,s610,s618,s1169,s61,s60,s1229,s1595,s2075,s2133,s1006,s6,s7,s5,s4,s2206,s2197,s8,s9,s3,s2146,s2184,s2187,s2231,s81,s2177,s2194]) ).
cnf(s2233,plain,
spl23_109,
inference(rat,[],[s159,s2206,s2146,s2232]) ).
cnf(s2246,plain,
spl23_258,
inference(rat,[],[s1039,s2184,s2193,s6,s7,s2233]) ).
cnf(s2248,plain,
~ spl23_58,
inference(rat,[],[s1107,s3,s81,s4,s2146,s9,s8,s7,s6,s5,s2233]) ).
cnf(s2253,plain,
~ spl23_216,
inference(rat,[],[s931,s2184,s2197,s52,s2246]) ).
cnf(s2257,plain,
$false,
inference(rat,[],[s661,s4,s5,s2253,s2248]) ).
fof(f22272,plain,
$false,
inference(avatar_sat_refutation,[],[s2257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT125+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n009.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 23:45:30 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.46 Running first-order theorem proving
% 0.15/0.46 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
% 24.19/4.44 % (2532328)Detected formulas, will run a generic FOF schedule.
% 24.19/4.44 % (2532333)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=2306032425:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 24.19/4.44 % (2532338)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2934857468:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 24.19/4.44 % (2532337)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3910220975:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 24.19/4.44 % (2532339)dis-21_1_sil=8000:lcm=predicate:random_seed=1895254295:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 24.19/4.44 % (2532336)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1924326584:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 24.19/4.44 % (2532335)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=1674645365:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 24.19/4.44 % (2532334)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=1450777381:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 24.19/4.44 % (2532336)Refutation not found, incomplete strategy
% 24.19/4.44 % (2532336)------------------------------
% 24.19/4.44 % (2532336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.19/4.44 % (2532336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.19/4.44 % (2532336)CaDiCaL version: 2.1.3
% 24.19/4.44 % (2532336)Termination reason: Refutation not found, incomplete strategy
% 24.19/4.44 % (2532336)Time elapsed: 0.005 s
% 24.19/4.44 % (2532336)Peak memory usage: 88 MB
% 24.19/4.44 % (2532336)Instructions burned: 3 (million)
% 24.19/4.44 % (2532339)Instruction limit reached!
% 24.19/4.44 % (2532339)------------------------------
% 24.19/4.44 % (2532339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.19/4.44 % (2532339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.19/4.44 % (2532339)CaDiCaL version: 2.1.3
% 24.19/4.44 % (2532339)Termination reason: Instruction limit
% 24.19/4.44 % (2532339)Termination phase: Saturation
% 24.19/4.44 % (2532339)Time elapsed: 0.111 s
% 24.19/4.44 % (2532339)Peak memory usage: 89 MB
% 24.19/4.44 % (2532339)Instructions burned: 129 (million)
% 24.19/4.44 % (2532337)Instruction limit reached!
% 24.19/4.44 % (2532337)------------------------------
% 24.19/4.44 % (2532337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.19/4.44 % (2532337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.19/4.44 % (2532337)CaDiCaL version: 2.1.3
% 24.19/4.44 % (2532337)Termination reason: Instruction limit
% 24.19/4.44 % (2532337)Termination phase: Saturation
% 24.19/4.44 % (2532337)Time elapsed: 0.115 s
% 24.19/4.44 % (2532337)Peak memory usage: 89 MB
% 24.19/4.44 % (2532337)Instructions burned: 119 (million)
% 24.19/4.44 % (2532338)Instruction limit reached!
% 24.19/4.44 % (2532338)------------------------------
% 24.19/4.44 % (2532338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.19/4.44 % (2532338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.19/4.44 % (2532338)CaDiCaL version: 2.1.3
% 24.19/4.44 % (2532338)Termination reason: Instruction limit
% 24.19/4.44 % (2532338)Termination phase: Saturation
% 24.19/4.44 % (2532338)Time elapsed: 0.132 s
% 24.19/4.44 % (2532338)Peak memory usage: 90 MB
% 24.19/4.44 % (2532338)Instructions burned: 139 (million)
% 24.19/4.44 % (2532347)lrs+10_1_sil=8000:sp=occurrence:random_seed=1254966065:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 24.19/4.44 % (2532348)lrs+10_1_sil=32000:urr=on:br=off:random_seed=734597505:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 24.19/4.44 % (2532336)------------------------------
% 24.19/4.44 % (2532336)------------------------------
% 24.19/4.44 % (2532349)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1111036729:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 24.19/4.44 % (2532348)Instruction limit reached!
% 24.19/4.44 % (2532348)------------------------------
% 24.19/4.44 % (2532348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.00/5.95 % (2532348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.00/5.95 % (2532348)CaDiCaL version: 2.1.3
% 34.00/5.95 % (2532348)Termination reason: Instruction limit
% 34.00/5.95 % (2532348)Termination phase: Saturation
% 34.00/5.95 % (2532348)Time elapsed: 0.119 s
% 34.00/5.95 % (2532348)Peak memory usage: 89 MB
% 34.00/5.95 % (2532348)Instructions burned: 158 (million)
% 34.00/5.95 % (2532347)Instruction limit reached!
% 34.00/5.95 % (2532347)------------------------------
% 34.00/5.95 % (2532347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.00/5.95 % (2532347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.00/5.95 % (2532347)CaDiCaL version: 2.1.3
% 34.00/5.95 % (2532347)Termination reason: Instruction limit
% 34.00/5.95 % (2532347)Termination phase: Saturation
% 34.00/5.95 % (2532347)Time elapsed: 0.289 s
% 34.00/5.95 % (2532347)Peak memory usage: 92 MB
% 34.00/5.95 % (2532347)Instructions burned: 285 (million)
% 34.00/5.95 % (2532353)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=411670520:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 34.00/5.95 % (2532349)Instruction limit reached!
% 34.00/5.95 % (2532349)------------------------------
% 34.00/5.95 % (2532349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.00/5.95 % (2532349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.00/5.95 % (2532349)CaDiCaL version: 2.1.3
% 34.00/5.95 % (2532349)Termination reason: Instruction limit
% 34.00/5.95 % (2532349)Termination phase: Saturation
% 34.00/5.95 % (2532349)Time elapsed: 0.300 s
% 34.00/5.95 % (2532349)Peak memory usage: 91 MB
% 34.00/5.95 % (2532349)Instructions burned: 325 (million)
% 34.00/5.95 % (2532354)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2452976073:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 34.00/5.95 % (2532355)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1240728112:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 34.00/5.95 % (2532353)Instruction limit reached!
% 34.00/5.95 % (2532353)------------------------------
% 34.00/5.95 % (2532353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.00/5.95 % (2532353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.00/5.95 % (2532353)CaDiCaL version: 2.1.3
% 34.00/5.95 % (2532353)Termination reason: Instruction limit
% 34.00/5.95 % (2532353)Termination phase: Saturation
% 34.00/5.95 % (2532353)Time elapsed: 0.219 s
% 34.00/5.95 % (2532353)Peak memory usage: 91 MB
% 34.00/5.95 % (2532353)Instructions burned: 248 (million)
% 34.00/5.95 % (2532357)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3972692421:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 34.00/5.95 % (2532354)Instruction limit reached!
% 34.00/5.95 % (2532354)------------------------------
% 34.00/5.95 % (2532354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.00/5.95 % (2532354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.00/5.95 % (2532354)CaDiCaL version: 2.1.3
% 34.00/5.95 % (2532354)Termination reason: Instruction limit
% 34.00/5.95 % (2532354)Termination phase: Saturation
% 34.00/5.95 % (2532354)Time elapsed: 0.265 s
% 34.00/5.95 % (2532354)Peak memory usage: 90 MB
% 34.00/5.95 % (2532354)Instructions burned: 294 (million)
% 34.00/5.95 % (2532357)Instruction limit reached!
% 34.00/5.95 % (2532357)------------------------------
% 34.00/5.95 % (2532357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.00/5.95 % (2532357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.00/5.95 % (2532357)CaDiCaL version: 2.1.3
% 34.00/5.95 % (2532357)Termination reason: Instruction limit
% 34.00/5.95 % (2532357)Termination phase: Saturation
% 34.00/5.95 % (2532357)Time elapsed: 0.098 s
% 34.00/5.95 % (2532357)Peak memory usage: 89 MB
% 34.00/5.95 % (2532357)Instructions burned: 113 (million)
% 34.00/5.95 % (2532360)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=281103476:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 34.00/5.95 % (2532362)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1589399292:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 34.00/5.95 % (2532360)Instruction limit reached!
% 34.00/5.95 % (2532360)------------------------------
% 34.00/5.95 % (2532360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.71/14.65 % (2532360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.71/14.65 % (2532360)CaDiCaL version: 2.1.3
% 96.71/14.65 % (2532360)Termination reason: Instruction limit
% 96.71/14.65 % (2532360)Termination phase: Saturation
% 96.71/14.65 % (2532360)Time elapsed: 0.106 s
% 96.71/14.65 % (2532360)Peak memory usage: 89 MB
% 96.71/14.65 % (2532360)Instructions burned: 127 (million)
% 96.71/14.65 % (2532363)lrs+10_1_sil=8000:sp=occurrence:random_seed=353658742:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 96.71/14.65 % (2532362)Instruction limit reached!
% 96.71/14.65 % (2532362)------------------------------
% 96.71/14.65 % (2532362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.71/14.65 % (2532362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.71/14.65 % (2532362)CaDiCaL version: 2.1.3
% 96.71/14.65 % (2532362)Termination reason: Instruction limit
% 96.71/14.65 % (2532362)Termination phase: Saturation
% 96.71/14.65 % (2532362)Time elapsed: 0.091 s
% 96.71/14.65 % (2532362)Peak memory usage: 89 MB
% 96.71/14.65 % (2532362)Instructions burned: 114 (million)
% 96.71/14.65 % (2532368)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4266328728:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 96.71/14.65 % (2532366)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4088103399:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 96.71/14.65 % (2532366)Instruction limit reached!
% 96.71/14.65 % (2532366)------------------------------
% 96.71/14.65 % (2532366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.71/14.65 % (2532366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.71/14.65 % (2532366)CaDiCaL version: 2.1.3
% 96.71/14.65 % (2532366)Termination reason: Instruction limit
% 96.71/14.65 % (2532366)Termination phase: Saturation
% 96.71/14.65 % (2532366)Time elapsed: 0.379 s
% 96.71/14.65 % (2532366)Peak memory usage: 93 MB
% 96.71/14.65 % (2532366)Instructions burned: 437 (million)
% 96.71/14.65 % (2532363)Instruction limit reached!
% 96.71/14.65 % (2532363)------------------------------
% 96.71/14.65 % (2532363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.71/14.65 % (2532363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.71/14.65 % (2532363)CaDiCaL version: 2.1.3
% 96.71/14.65 % (2532363)Termination reason: Instruction limit
% 96.71/14.65 % (2532363)Termination phase: Saturation
% 96.71/14.65 % (2532363)Time elapsed: 0.887 s
% 96.71/14.65 % (2532363)Peak memory usage: 99 MB
% 96.71/14.65 % (2532363)Instructions burned: 907 (million)
% 96.71/14.65 % (2532371)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3944821107:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 96.71/14.65 % (2532371)Instruction limit reached!
% 96.71/14.65 % (2532371)------------------------------
% 96.71/14.65 % (2532371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.71/14.65 % (2532371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.71/14.65 % (2532371)CaDiCaL version: 2.1.3
% 96.71/14.65 % (2532371)Termination reason: Instruction limit
% 96.71/14.65 % (2532371)Termination phase: Saturation
% 96.71/14.65 % (2532371)Time elapsed: 0.123 s
% 96.71/14.65 % (2532371)Peak memory usage: 90 MB
% 96.71/14.65 % (2532371)Instructions burned: 134 (million)
% 96.71/14.65 % (2532372)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2995906043:st=8:i=592:sd=3:ep=RST:ss=axioms_2974 on theBenchmark for (2974ds/592Mi)
% 96.71/14.65 % (2532374)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4022152156:st=3:i=13193:sd=3:ss=axioms_2973 on theBenchmark for (2973ds/13193Mi)
% 96.71/14.65 % (2532372)Instruction limit reached!
% 96.71/14.65 % (2532372)------------------------------
% 96.71/14.65 % (2532372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.71/14.65 % (2532372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.71/14.65 % (2532372)CaDiCaL version: 2.1.3
% 96.71/14.65 % (2532372)Termination reason: Instruction limit
% 96.71/14.65 % (2532372)Termination phase: Saturation
% 96.71/14.65 % (2532372)Time elapsed: 0.482 s
% 96.71/14.65 % (2532372)Peak memory usage: 93 MB
% 96.71/14.65 % (2532372)Instructions burned: 592 (million)
% 96.71/14.65 % (2532355)Instruction limit reached!
% 96.71/14.65 % (2532355)------------------------------
% 96.71/14.65 % (2532355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.39/20.13 % (2532355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.39/20.13 % (2532355)CaDiCaL version: 2.1.3
% 135.39/20.13 % (2532355)Termination reason: Instruction limit
% 135.39/20.13 % (2532355)Termination phase: Saturation
% 135.39/20.13 % (2532355)Time elapsed: 2.241 s
% 135.39/20.13 % (2532355)Peak memory usage: 144 MB
% 135.39/20.13 % (2532355)Instructions burned: 2351 (million)
% 135.39/20.13 % (2532377)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=4091989235:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2967 on theBenchmark for (2967ds/125Mi)
% 135.39/20.13 % (2532377)Instruction limit reached!
% 135.39/20.13 % (2532377)------------------------------
% 135.39/20.13 % (2532377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.39/20.13 % (2532377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.39/20.13 % (2532377)CaDiCaL version: 2.1.3
% 135.39/20.13 % (2532377)Termination reason: Instruction limit
% 135.39/20.13 % (2532377)Termination phase: Saturation
% 135.39/20.13 % (2532377)Time elapsed: 0.111 s
% 135.39/20.13 % (2532377)Peak memory usage: 90 MB
% 135.39/20.13 % (2532377)Instructions burned: 126 (million)
% 135.39/20.13 % (2532378)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2917129898:i=134:gtgl=5:slsql=off:gtg=exists_sym_2965 on theBenchmark for (2965ds/134Mi)
% 135.39/20.13 % (2532378)Instruction limit reached!
% 135.39/20.13 % (2532378)------------------------------
% 135.39/20.13 % (2532378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.39/20.13 % (2532378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.39/20.13 % (2532378)CaDiCaL version: 2.1.3
% 135.39/20.13 % (2532378)Termination reason: Instruction limit
% 135.39/20.13 % (2532378)Termination phase: Saturation
% 135.39/20.13 % (2532378)Time elapsed: 0.117 s
% 135.39/20.13 % (2532378)Peak memory usage: 90 MB
% 135.39/20.13 % (2532378)Instructions burned: 135 (million)
% 135.39/20.13 % (2532380)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2185431666:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2963 on theBenchmark for (2963ds/141Mi)
% 135.39/20.13 % (2532380)Refutation not found, incomplete strategy
% 135.39/20.13 % (2532380)------------------------------
% 135.39/20.13 % (2532380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.39/20.13 % (2532380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.39/20.13 % (2532380)CaDiCaL version: 2.1.3
% 135.39/20.13 % (2532380)Termination reason: Refutation not found, incomplete strategy
% 135.39/20.13 % (2532380)Time elapsed: 0.005 s
% 135.39/20.13 % (2532380)Peak memory usage: 89 MB
% 135.39/20.13 % (2532380)Instructions burned: 3 (million)
% 135.39/20.13 % (2532382)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3756903570:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2961 on theBenchmark for (2961ds/431Mi)
% 135.39/20.13 % (2532380)------------------------------
% 135.39/20.13 % (2532380)------------------------------
% 135.39/20.13 % (2532382)Instruction limit reached!
% 135.39/20.13 % (2532382)------------------------------
% 135.39/20.13 % (2532382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.39/20.13 % (2532382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.39/20.13 % (2532382)CaDiCaL version: 2.1.3
% 135.39/20.13 % (2532382)Termination reason: Instruction limit
% 135.39/20.13 % (2532382)Termination phase: Saturation
% 135.39/20.13 % (2532382)Time elapsed: 0.369 s
% 135.39/20.13 % (2532382)Peak memory usage: 90 MB
% 135.39/20.13 % (2532382)Instructions burned: 432 (million)
% 135.39/20.13 % (2532385)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=1659037680:i=6060:aac=none:ins=25_2956 on theBenchmark for (2956ds/6060Mi)
% 135.39/20.13 % (2532386)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=26294653:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2955 on theBenchmark for (2955ds/150Mi)
% 135.39/20.13 % (2532386)Instruction limit reached!
% 135.39/20.13 % (2532386)------------------------------
% 135.39/20.13 % (2532386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.39/20.13 % (2532386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.39/20.13 % (2532386)CaDiCaL version: 2.1.3
% 190.66/27.96 % (2532386)Termination reason: Instruction limit
% 190.66/27.96 % (2532386)Termination phase: Saturation
% 190.66/27.96 % (2532386)Time elapsed: 0.147 s
% 190.66/27.96 % (2532386)Peak memory usage: 91 MB
% 190.66/27.96 % (2532386)Instructions burned: 150 (million)
% 190.66/27.96 % (2532389)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3468409300:i=14155:bd=all_2950 on theBenchmark for (2950ds/14155Mi)
% 190.66/27.96 % (2532368)Instruction limit reached!
% 190.66/27.96 % (2532368)------------------------------
% 190.66/27.96 % (2532368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 190.66/27.96 % (2532368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 190.66/27.96 % (2532368)CaDiCaL version: 2.1.3
% 190.66/27.96 % (2532368)Termination reason: Instruction limit
% 190.66/27.96 % (2532368)Termination phase: Saturation
% 190.66/27.96 % (2532368)Time elapsed: 5.028 s
% 190.66/27.96 % (2532368)Peak memory usage: 172 MB
% 190.66/27.96 % (2532368)Instructions burned: 5202 (million)
% 190.66/27.96 % (2532391)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3592076749:i=667:av=off:fsr=off_2931 on theBenchmark for (2931ds/667Mi)
% 190.66/27.96 % (2532391)Instruction limit reached!
% 190.66/27.96 % (2532391)------------------------------
% 190.66/27.96 % (2532391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 190.66/27.96 % (2532391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 190.66/27.96 % (2532391)CaDiCaL version: 2.1.3
% 190.66/27.96 % (2532391)Termination reason: Instruction limit
% 190.66/27.96 % (2532391)Termination phase: Saturation
% 190.66/27.96 % (2532391)Time elapsed: 0.537 s
% 190.66/27.96 % (2532391)Peak memory usage: 91 MB
% 190.66/27.96 % (2532391)Instructions burned: 668 (million)
% 190.66/27.96 % (2532393)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=3680685636:s2a=on:i=185:s2at=1.8:fdi=4_2922 on theBenchmark for (2922ds/185Mi)
% 190.66/27.96 % (2532393)Instruction limit reached!
% 190.66/27.96 % (2532393)------------------------------
% 190.66/27.96 % (2532393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 190.66/27.96 % (2532393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 190.66/27.96 % (2532393)CaDiCaL version: 2.1.3
% 190.66/27.96 % (2532393)Termination reason: Instruction limit
% 190.66/27.96 % (2532393)Termination phase: Saturation
% 190.66/27.96 % (2532393)Time elapsed: 0.150 s
% 190.66/27.96 % (2532393)Peak memory usage: 90 MB
% 190.66/27.96 % (2532393)Instructions burned: 185 (million)
% 190.66/27.96 % (2532395)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=600648730:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2918 on theBenchmark for (2918ds/193Mi)
% 190.66/27.96 % (2532395)Instruction limit reached!
% 190.66/27.96 % (2532395)------------------------------
% 190.66/27.96 % (2532395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 190.66/27.96 % (2532395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 190.66/27.96 % (2532395)CaDiCaL version: 2.1.3
% 190.66/27.96 % (2532395)Termination reason: Instruction limit
% 190.66/27.96 % (2532395)Termination phase: Saturation
% 190.66/27.96 % (2532395)Time elapsed: 0.197 s
% 190.66/27.96 % (2532395)Peak memory usage: 91 MB
% 190.66/27.96 % (2532395)Instructions burned: 194 (million)
% 190.66/27.96 % (2532397)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1701031242:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2913 on theBenchmark for (2913ds/4850Mi)
% 190.66/27.97 % (2532385)Instruction limit reached!
% 190.66/27.97 % (2532385)------------------------------
% 190.66/27.97 % (2532385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 190.66/27.97 % (2532385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 190.66/27.97 % (2532385)CaDiCaL version: 2.1.3
% 190.66/27.97 % (2532385)Termination reason: Instruction limit
% 190.66/27.97 % (2532385)Termination phase: Saturation
% 190.66/27.97 % (2532385)Time elapsed: 5.843 s
% 190.66/27.97 % (2532385)Peak memory usage: 182 MB
% 190.66/27.97 % (2532385)Instructions burned: 6060 (million)
% 190.66/27.97 % (2532399)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3622407818:i=12111:sd=1:ss=included_2895 on theBenchmark for (2895ds/12111Mi)
% 190.66/27.97 % (2532397)Instruction limit reached!
% 190.66/27.97 % (2532397)------------------------------
% 190.66/27.97 % (2532397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 223.20/32.57 % (2532397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 223.20/32.57 % (2532397)CaDiCaL version: 2.1.3
% 223.20/32.57 % (2532397)Termination reason: Instruction limit
% 223.20/32.57 % (2532397)Termination phase: Saturation
% 223.20/32.57 % (2532397)Time elapsed: 4.638 s
% 223.20/32.57 % (2532397)Peak memory usage: 130 MB
% 223.20/32.57 % (2532397)Instructions burned: 4851 (million)
% 223.20/32.57 % (2532401)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3924247027:i=319:kws=precedence:fsr=off_2863 on theBenchmark for (2863ds/319Mi)
% 223.20/32.57 % (2532401)Instruction limit reached!
% 223.20/32.57 % (2532401)------------------------------
% 223.20/32.57 % (2532401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 223.20/32.57 % (2532401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 223.20/32.57 % (2532401)CaDiCaL version: 2.1.3
% 223.20/32.57 % (2532401)Termination reason: Instruction limit
% 223.20/32.57 % (2532401)Termination phase: Saturation
% 223.20/32.57 % (2532401)Time elapsed: 0.322 s
% 223.20/32.57 % (2532401)Peak memory usage: 93 MB
% 223.20/32.57 % (2532401)Instructions burned: 319 (million)
% 223.20/32.57 % (2532403)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=4060259446:i=2064:ep=RST_2857 on theBenchmark for (2857ds/2064Mi)
% 223.20/32.57 % (2532374)Instruction limit reached!
% 223.20/32.57 % (2532374)------------------------------
% 223.20/32.57 % (2532374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 223.20/32.57 % (2532374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 223.20/32.57 % (2532374)CaDiCaL version: 2.1.3
% 223.20/32.57 % (2532374)Termination reason: Instruction limit
% 223.20/32.57 % (2532374)Termination phase: Saturation
% 223.20/32.57 % (2532374)Time elapsed: 12.150 s
% 223.20/32.57 % (2532374)Peak memory usage: 244 MB
% 223.20/32.57 % (2532374)Instructions burned: 13194 (million)
% 223.20/32.57 % (2532405)dis-1011_128_sil=32000:random_seed=594070914:i=3706:ep=RST:av=off_2848 on theBenchmark for (2848ds/3706Mi)
% 223.20/32.57 % (2532403)Instruction limit reached!
% 223.20/32.57 % (2532403)------------------------------
% 223.20/32.57 % (2532403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 223.20/32.57 % (2532403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 223.20/32.57 % (2532403)CaDiCaL version: 2.1.3
% 223.20/32.57 % (2532403)Termination reason: Instruction limit
% 223.20/32.57 % (2532403)Termination phase: Saturation
% 223.20/32.57 % (2532403)Time elapsed: 1.708 s
% 223.20/32.57 % (2532403)Peak memory usage: 95 MB
% 223.20/32.57 % (2532403)Instructions burned: 2064 (million)
% 223.20/32.57 % (2532409)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3727068314:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2837 on theBenchmark for (2837ds/757Mi)
% 223.20/32.57 % (2532409)Refutation not found, incomplete strategy
% 223.20/32.57 % (2532409)------------------------------
% 223.20/32.57 % (2532409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 223.20/32.57 % (2532409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 223.20/32.57 % (2532409)CaDiCaL version: 2.1.3
% 223.20/32.57 % (2532409)Termination reason: Refutation not found, incomplete strategy
% 223.20/32.57 % (2532409)Time elapsed: 0.032 s
% 223.20/32.57 % (2532409)Peak memory usage: 89 MB
% 223.20/32.57 % (2532409)Instructions burned: 34 (million)
% 223.20/32.57 % (2532409)------------------------------
% 223.20/32.57 % (2532409)------------------------------
% 223.20/32.57 % (2532411)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3869183766:i=13913:ss=axioms:sgt=8_2829 on theBenchmark for (2829ds/13913Mi)
% 223.20/32.57 % (2532405)Instruction limit reached!
% 223.20/32.57 % (2532405)------------------------------
% 223.20/32.57 % (2532405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 223.20/32.57 % (2532405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 223.20/32.57 % (2532405)CaDiCaL version: 2.1.3
% 223.20/32.57 % (2532405)Termination reason: Instruction limit
% 223.20/32.57 % (2532405)Termination phase: Saturation
% 223.20/32.57 % (2532405)Time elapsed: 3.201 s
% 223.20/32.57 % (2532405)Peak memory usage: 111 MB
% 223.20/32.57 % (2532405)Instructions burned: 3707 (million)
% 223.20/32.57 % (2532413)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3384168640:i=9925:aac=none_2813 on theBenchmark for (2813ds/9925Mi)
% 223.20/32.57 % (2532389)Instruction limit reached!
% 223.20/32.57 % (2532389)------------------------------
% 239.61/35.00 % (2532389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 239.61/35.00 % (2532389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 239.61/35.00 % (2532389)CaDiCaL version: 2.1.3
% 239.61/35.00 % (2532389)Termination reason: Instruction limit
% 239.61/35.00 % (2532389)Termination phase: Saturation
% 239.61/35.00 % (2532389)Time elapsed: 13.889 s
% 239.61/35.00 % (2532389)Peak memory usage: 236 MB
% 239.61/35.00 % (2532389)Instructions burned: 14155 (million)
% 239.61/35.00 % (2532415)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2135070182:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2808 on theBenchmark for (2808ds/2479Mi)
% 239.61/35.00 % (2532415)Refutation not found, incomplete strategy
% 239.61/35.00 % (2532415)------------------------------
% 239.61/35.00 % (2532415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 239.61/35.00 % (2532415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 239.61/35.00 % (2532415)CaDiCaL version: 2.1.3
% 239.61/35.00 % (2532415)Termination reason: Refutation not found, incomplete strategy
% 239.61/35.00 % (2532415)Time elapsed: 0.013 s
% 239.61/35.00 % (2532415)Peak memory usage: 89 MB
% 239.61/35.00 % (2532415)Instructions burned: 11 (million)
% 239.61/35.00 % (2532415)------------------------------
% 239.61/35.00 % (2532415)------------------------------
% 239.61/35.00 % (2532419)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2401159897:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2801 on theBenchmark for (2801ds/440Mi)
% 239.61/35.00 % (2532419)Instruction limit reached!
% 239.61/35.00 % (2532419)------------------------------
% 239.61/35.00 % (2532419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 239.61/35.00 % (2532419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 239.61/35.00 % (2532419)CaDiCaL version: 2.1.3
% 239.61/35.00 % (2532419)Termination reason: Instruction limit
% 239.61/35.00 % (2532419)Termination phase: Saturation
% 239.61/35.00 % (2532419)Time elapsed: 0.384 s
% 239.61/35.00 % (2532419)Peak memory usage: 93 MB
% 239.61/35.00 % (2532419)Instructions burned: 441 (million)
% 239.61/35.00 % (2532421)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1053406521:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2794 on theBenchmark for (2794ds/11145Mi)
% 239.61/35.00 % (2532399)Instruction limit reached!
% 239.61/35.00 % (2532399)------------------------------
% 239.61/35.00 % (2532399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 239.61/35.00 % (2532399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 239.61/35.00 % (2532399)CaDiCaL version: 2.1.3
% 239.61/35.00 % (2532399)Termination reason: Instruction limit
% 239.61/35.00 % (2532399)Termination phase: Saturation
% 239.61/35.00 % (2532399)Time elapsed: 12.132 s
% 239.61/35.00 % (2532399)Peak memory usage: 238 MB
% 239.61/35.00 % (2532399)Instructions burned: 12111 (million)
% 239.61/35.00 % (2532425)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=3440413193:cts=off:i=3034:av=off:er=known:fsd=on_2770 on theBenchmark for (2770ds/3034Mi)
% 239.61/35.00 % (2532425)Instruction limit reached!
% 239.61/35.00 % (2532425)------------------------------
% 239.61/35.00 % (2532425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 239.61/35.00 % (2532425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 239.61/35.00 % (2532425)CaDiCaL version: 2.1.3
% 239.61/35.00 % (2532425)Termination reason: Instruction limit
% 239.61/35.00 % (2532425)Termination phase: Saturation
% 239.61/35.00 % (2532425)Time elapsed: 2.996 s
% 239.61/35.00 % (2532425)Peak memory usage: 146 MB
% 239.61/35.00 % (2532425)Instructions burned: 3034 (million)
% 239.61/35.00 % (2532429)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=2310814162:st=2:s2a=on:i=524:s2at=2:ss=axioms_2737 on theBenchmark for (2737ds/524Mi)
% 239.61/35.00 % (2532429)Instruction limit reached!
% 239.61/35.00 % (2532429)------------------------------
% 239.61/35.00 % (2532429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 239.61/35.00 % (2532429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 239.61/35.00 % (2532429)CaDiCaL version: 2.1.3
% 239.61/35.00 % (2532429)Termination reason: Instruction limit
% 239.61/35.00 % (2532429)Termination phase: Saturation
% 239.61/35.00 % (2532429)Time elapsed: 0.440 s
% 239.61/35.00 % (2532429)Peak memory usage: 92 MB
% 239.61/35.00 % (2532429)Instructions burned: 524 (million)
% 132.07/36.12 % (2532431)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=2930708080:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2730 on theBenchmark for (2730ds/1016Mi)
% 132.07/36.12 % (2532431)Refutation not found, incomplete strategy
% 132.07/36.12 % (2532431)------------------------------
% 132.07/36.12 % (2532431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 132.07/36.12 % (2532431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 132.07/36.12 % (2532431)CaDiCaL version: 2.1.3
% 132.07/36.12 % (2532431)Termination reason: Refutation not found, incomplete strategy
% 132.07/36.12 % (2532431)Time elapsed: 0.004 s
% 132.07/36.12 % (2532431)Peak memory usage: 89 MB
% 132.07/36.12 % (2532431)Instructions burned: 4 (million)
% 132.07/36.12 % (2532431)------------------------------
% 132.07/36.12 % (2532431)------------------------------
% 132.07/36.12 % (2532413)Instruction limit reached!
% 132.07/36.12 % (2532413)------------------------------
% 132.07/36.12 % (2532413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 132.07/36.12 % (2532413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 132.07/36.12 % (2532413)CaDiCaL version: 2.1.3
% 132.07/36.12 % (2532413)Termination reason: Instruction limit
% 132.07/36.12 % (2532413)Termination phase: Saturation
% 132.07/36.12 % (2532413)Time elapsed: 8.564 s
% 132.07/36.12 % (2532413)Peak memory usage: 197 MB
% 132.07/36.12 % (2532413)Instructions burned: 9926 (million)
% 132.07/36.12 % (2532433)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=1608044635:i=14123:bd=preordered:ins=4_2725 on theBenchmark for (2725ds/14123Mi)
% 132.07/36.12 % (2532434)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=3204794906:i=5781:kws=precedence:bd=all:rawr=on_2724 on theBenchmark for (2724ds/5781Mi)
% 132.07/36.12 % (2532411)Instruction limit reached!
% 132.07/36.12 % (2532411)------------------------------
% 132.07/36.12 % (2532411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 132.07/36.12 % (2532411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 132.07/36.12 % (2532411)CaDiCaL version: 2.1.3
% 132.07/36.12 % (2532411)Termination reason: Instruction limit
% 132.07/36.12 % (2532411)Termination phase: Saturation
% 132.07/36.12 % (2532411)Time elapsed: 11.424 s
% 132.07/36.12 % (2532411)Peak memory usage: 224 MB
% 132.07/36.12 % (2532411)Instructions burned: 13915 (million)
% 132.07/36.12 % (2532543)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=4077262192:i=2448:gtgl=5:bd=preordered:gtg=all_2712 on theBenchmark for (2712ds/2448Mi)
% 132.07/36.12 % (2532543)Instruction limit reached!
% 132.07/36.12 % (2532543)------------------------------
% 132.07/36.12 % (2532543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 132.07/36.12 % (2532543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 132.07/36.12 % (2532543)CaDiCaL version: 2.1.3
% 132.07/36.12 % (2532543)Termination reason: Instruction limit
% 132.07/36.12 % (2532543)Termination phase: Saturation
% 132.07/36.12 % (2532543)Time elapsed: 0.867 s
% 132.07/36.12 % (2532543)Peak memory usage: 145 MB
% 132.07/36.12 % (2532543)Instructions burned: 2452 (million)
% 132.07/36.12 % (2532592)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=279477627:i=3223:kws=precedence:fgj=on:av=off_2702 on theBenchmark for (2702ds/3223Mi)
% 132.07/36.12 % (2532421)Instruction limit reached!
% 132.07/36.12 % (2532421)------------------------------
% 132.07/36.12 % (2532421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 132.07/36.12 % (2532421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 132.07/36.12 % (2532421)CaDiCaL version: 2.1.3
% 132.07/36.12 % (2532421)Termination reason: Instruction limit
% 132.07/36.12 % (2532421)Termination phase: Saturation
% 132.07/36.12 % (2532421)Time elapsed: 9.796 s
% 132.07/36.12 % (2532421)Peak memory usage: 209 MB
% 132.07/36.12 % (2532421)Instructions burned: 11145 (million)
% 132.07/36.12 % (2532594)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=2592333811:st=5.6:i=2033:sd=3:ss=axioms_2694 on theBenchmark for (2694ds/2033Mi)
% 132.07/36.12 % (2532592)Instruction limit reached!
% 132.07/36.12 % (2532592)------------------------------
% 132.07/36.12 % (2532592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 132.07/36.12 % (2532592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 132.07/36.12 % (2532592)CaDiCaL version: 2.1.3
% 132.07/36.12 % (2532592)Termination reason: Instruction limit
% 132.07/36.12 % (2532592)Termination phase: Saturation
% 132.07/36.12 % (2532592)Time elapsed: 1.675 s
% 132.07/36.12 % (2532592)Peak memory usage: 179 MB
% 132.07/36.12 % (2532592)Instructions burned: 5791 (million)
% 132.07/36.12 % (2532434)Instruction limit reached!
% 132.07/36.12 % (2532434)------------------------------
% 132.07/36.12 % (2532434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 132.07/36.12 % (2532434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 132.07/36.12 % (2532434)CaDiCaL version: 2.1.3
% 132.07/36.12 % (2532434)Termination reason: Instruction limit
% 132.07/36.12 % (2532434)Termination phase: Saturation
% 132.07/36.12 % (2532434)Time elapsed: 3.836 s
% 132.07/36.12 % (2532434)Peak memory usage: 147 MB
% 132.07/36.12 % (2532434)Instructions burned: 6671 (million)
% 132.07/36.12 % (2532596)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=2359430822:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2684 on theBenchmark for (2684ds/2055Mi)
% 132.07/36.12 % (2532597)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=3416856090:i=21611:sd=3:ss=axioms_2684 on theBenchmark for (2684ds/21611Mi)
% 132.07/36.12 % (2532596)Instruction limit reached!
% 132.07/36.12 % (2532596)------------------------------
% 132.07/36.12 % (2532596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 132.07/36.12 % (2532596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 132.07/36.12 % (2532596)CaDiCaL version: 2.1.3
% 132.07/36.12 % (2532596)Termination reason: Instruction limit
% 132.07/36.12 % (2532596)Termination phase: Saturation
% 132.07/36.12 % (2532596)Time elapsed: 0.711 s
% 132.07/36.12 % (2532596)Peak memory usage: 138 MB
% 132.07/36.12 % (2532596)Instructions burned: 2057 (million)
% 132.07/36.12 % (2532600)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=3180874037:i=4835:sd=13:ss=axioms:sgt=23_2676 on theBenchmark for (2676ds/4835Mi)
% 132.07/36.12 % (2532594)Instruction limit reached!
% 132.07/36.12 % (2532594)------------------------------
% 132.07/36.12 % (2532594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 132.07/36.12 % (2532594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 132.07/36.12 % (2532594)CaDiCaL version: 2.1.3
% 132.07/36.12 % (2532594)Termination reason: Instruction limit
% 132.07/36.12 % (2532594)Termination phase: Saturation
% 132.07/36.12 % (2532594)Time elapsed: 2.004 s
% 132.07/36.12 % (2532594)Peak memory usage: 142 MB
% 132.07/36.12 % (2532594)Instructions burned: 2034 (million)
% 132.07/36.12 % (2532602)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=3180522688:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2672 on theBenchmark for (2672ds/797Mi)
% 132.07/36.12 % (2532602)Instruction limit reached!
% 132.07/36.12 % (2532602)------------------------------
% 132.07/36.12 % (2532602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 132.07/36.12 % (2532602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 132.07/36.12 % (2532602)CaDiCaL version: 2.1.3
% 132.07/36.12 % (2532602)Termination reason: Instruction limit
% 132.07/36.12 % (2532602)Termination phase: Saturation
% 132.07/36.12 % (2532602)Time elapsed: 0.431 s
% 132.07/36.12 % (2532602)Peak memory usage: 93 MB
% 132.07/36.12 % (2532602)Instructions burned: 799 (million)
% 132.07/36.12 % (2532604)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=708772732:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2666 on theBenchmark for (2666ds/2326Mi)
% 132.07/36.12 % (2532604)Refutation not found, incomplete strategy
% 132.07/36.12 % (2532604)------------------------------
% 132.07/36.12 % (2532604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 132.07/36.12 % (2532604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 132.07/36.12 % (2532604)CaDiCaL version: 2.1.3
% 132.07/36.12 % (2532604)Termination reason: Refutation not found, incomplete strategy
% 132.07/36.12 % (2532604)Time elapsed: 0.101 s
% 132.07/36.12 % (2532604)Peak memory usage: 91 MB
% 132.07/36.12 % (2532604)Instructions burned: 180 (million)
% 132.07/36.12 % (2532604)------------------------------
% 132.07/36.12 % (2532604)------------------------------
% 132.07/36.12 % (2532600)Instruction limit reached!
% 132.07/36.12 % (2532600)------------------------------
% 132.07/36.12 % (2532600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 132.07/36.12 % (2532600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 132.07/36.12 % (2532600)CaDiCaL version: 2.1.3
% 132.07/36.12 % (2532600)Termination reason: Instruction limit
% 132.07/36.12 % (2532600)Termination phase: Saturation
% 132.07/36.12 % (2532600)Time elapsed: 1.457 s
% 132.07/36.12 % (2532600)Peak memory usage: 118 MB
% 132.07/36.12 % (2532600)Instructions burned: 4840 (million)
% 132.07/36.12 % (2532606)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=1637487708:i=6038:nm=6_2661 on theBenchmark for (2661ds/6038Mi)
% 132.07/36.12 % (2532607)lrs+10_1_sil=32000:sp=occurrence:random_seed=3026266987:st=2:i=33334:sd=3:ss=included:sgt=32_2660 on theBenchmark for (2660ds/33334Mi)
% 132.07/36.12 % (2532597)First to succeed.
% 132.07/36.12 % (2532597)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2532328"
% 132.07/36.12 % (2532597)Refutation found. Thanks to Tanya!
% 132.07/36.12 % SZS status Theorem for theBenchmark
% 132.07/36.12 % SZS output start Proof for theBenchmark
% See solution above
% 248.64/36.32 % (2532597)------------------------------
% 248.64/36.32 % (2532597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 248.64/36.32 % (2532597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 248.64/36.32 % (2532597)CaDiCaL version: 2.1.3
% 248.64/36.32 % (2532597)Termination reason: Refutation
% 248.64/36.32 % (2532597)Time elapsed: 3.034 s
% 248.64/36.32 % (2532597)Peak memory usage: 162 MB
% 248.64/36.32 % (2532597)Instructions burned: 4756 (million)
% 248.64/36.32 % (2532597)------------------------------
% 248.64/36.32 % (2532597)------------------------------
% 248.64/36.32 % (2532328)Success in time 35.083 s
% 248.64/36.32 % Vampire exiting
%------------------------------------------------------------------------------