%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT086-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 12:37:30 PM UTC 2026
% Result : Unsatisfiable 68.82s 10.28s
% Output : Refutation 68.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 12 unt; 4 def)
% Number of atoms : 75 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 83 ( 43 ~; 36 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 11 con; 0-6 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f532,axiom,
! [X0,X1] : c_HOL_Oplus__class_Oplus(X0,X1,tc_nat) = c_HOL_Oplus__class_Oplus(X1,X0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__add__commute_0) ).
fof(f588,axiom,
hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_2) ).
fof(f589,axiom,
! [X0] :
( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),X0),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),X0),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1) ).
fof(f590,axiom,
hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____)),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f591,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f592,negated_conjecture,
! [X0] :
( v_thesis____
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
| hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(v_n,X0)),X0))
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f593,negated_conjecture,
! [X0] :
( v_thesis____
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),hAPP(v_n,X0)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f682,definition,
( spl0_1
<=> ! [X0] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),hAPP(v_n,X0)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____)))) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f683,plain,
( ! [X0] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),hAPP(v_n,X0)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____)))) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f685,definition,
( spl0_2
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f688,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f593,f685,f682]) ).
fof(f690,definition,
( spl0_3
<=> ! [X0] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)))
| hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(v_n,X0)),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f691,plain,
( ! [X0] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
| ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)))
| hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(v_n,X0)),X0)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f692,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f592,f685,f690]) ).
fof(f693,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f591,f685]) ).
fof(f1545,definition,
( spl0_7
<=> hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(v_n,v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f2035,plain,
( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____)),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)))
| hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(v_n,v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____)))
| ~ spl0_3 ),
inference(resolution,[],[f588,f691]) ).
fof(f2042,plain,
hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____)))),
inference(superposition,[],[f588,f532]) ).
fof(f2054,plain,
( hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(v_n,v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____)))
| ~ spl0_3 ),
inference(global_subsumption,[],[f2035,f590]) ).
fof(f2064,plain,
( spl0_7
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f2054,f690,f1545]) ).
fof(f2102,plain,
( ! [X0] :
( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)))
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(v_n,X0)),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____)))) )
| ~ spl0_1 ),
inference(resolution,[],[f589,f683]) ).
fof(f2221,plain,
( ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(v_n,v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____)))
| ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____),c_HOL_Oone__class_Oone(tc_nat),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
| ~ spl0_1 ),
inference(resolution,[],[f2102,f590]) ).
fof(f2240,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,hAPP(c_COMBC(hAPP(c_COMBC(c_COMBB(c_HOL_OIf(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(c_COMBC(c_COMBB(c_HOL_Oord__class_Oless(tc_nat),v_h____,tc_nat,tc_fun(tc_nat,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_nat,tc_bool),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____),tc_nat)),tc_bool,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_Lab____),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lba____))))
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(v_n,v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____)))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f2221,f532]) ).
fof(f2243,plain,
( ~ hBOOL(hAPP(hAPP(c_lessequals(tc_nat),hAPP(v_n,v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____))),v_sko__CHAINED__1(v_F,v_Lab____,v_Lba____,v_a____,v_b____,v_h____)))
| ~ spl0_1 ),
inference(global_subsumption,[],[f2240,f2042]) ).
fof(f2244,plain,
( ~ spl0_7
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2243,f682,f1545]) ).
cnf(s37,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f688]) ).
cnf(s39,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f692]) ).
cnf(s41,plain,
~ spl0_2,
inference(sat_conversion,[],[f693]) ).
cnf(s867,plain,
( ~ spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f2064]) ).
cnf(s966,plain,
( ~ spl0_1
| ~ spl0_7 ),
inference(sat_conversion,[],[f2244]) ).
cnf(s968,plain,
spl0_3,
inference(rat,[],[s39,s41]) ).
cnf(s969,plain,
spl0_7,
inference(rat,[],[s867,s968]) ).
cnf(s970,plain,
~ spl0_1,
inference(rat,[],[s966,s969]) ).
cnf(s971,plain,
$false,
inference(rat,[],[s37,s41,s970]) ).
fof(f2245,plain,
$false,
inference(avatar_sat_refutation,[],[s971]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT086-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 % Computer : n001.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 23:46:47 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.41/2.54 % (4089238)Will run a generic schedule for satisfiability detection.
% 14.41/2.54 % (4089259)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3961649589_2999 on theBenchmark for (2999ds/0Mi)
% 14.41/2.54 % (4089260)% WARNING: option uhcvi not known.
% 14.41/2.54 % (4089260)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2295358369:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.41/2.54 % (4089261)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1826713915:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.41/2.54 % (4089264)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3457300191:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.41/2.54 % (4089262)dis+10_1_sil=32000:sp=arity:random_seed=3673884484:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.41/2.54 % (4089265)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2592247069:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.41/2.54 % (4089263)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3470952188:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.41/2.54 % (4089263)Instruction limit reached!
% 14.41/2.54 % (4089263)------------------------------
% 14.41/2.54 % (4089263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.41/2.54 % (4089263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/2.54 % (4089263)CaDiCaL version: 2.1.3
% 14.41/2.54 % (4089263)Termination reason: Instruction limit
% 14.41/2.54 % (4089263)Termination phase: Saturation
% 14.41/2.54 % (4089263)Time elapsed: 0.063 s
% 14.41/2.54 % (4089263)Peak memory usage: 12 MB
% 14.41/2.54 % (4089263)Instructions burned: 116 (million)
% 14.41/2.54 % (4089262)Instruction limit reached!
% 14.41/2.54 % (4089262)------------------------------
% 14.41/2.54 % (4089262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.41/2.54 % (4089262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/2.54 % (4089262)CaDiCaL version: 2.1.3
% 14.41/2.54 % (4089262)Termination reason: Instruction limit
% 14.41/2.54 % (4089262)Termination phase: Saturation
% 14.41/2.54 % (4089262)Time elapsed: 0.076 s
% 14.41/2.54 % (4089262)Peak memory usage: 12 MB
% 14.41/2.54 % (4089262)Instructions burned: 103 (million)
% 14.41/2.54 % (4089264)Instruction limit reached!
% 14.41/2.54 % (4089264)------------------------------
% 14.41/2.54 % (4089264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.41/2.54 % (4089264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/2.54 % (4089264)CaDiCaL version: 2.1.3
% 14.41/2.54 % (4089264)Termination reason: Instruction limit
% 14.41/2.54 % (4089264)Termination phase: Saturation
% 14.41/2.54 % (4089264)Time elapsed: 0.082 s
% 14.41/2.54 % (4089264)Peak memory usage: 13 MB
% 14.41/2.54 % (4089264)Instructions burned: 132 (million)
% 14.41/2.54 % (4089282)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2370626523:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 14.41/2.54 % (4089287)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=512310054:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.41/2.54 % (4089265)Instruction limit reached!
% 14.41/2.54 % (4089265)------------------------------
% 14.41/2.54 % (4089265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.41/2.54 % (4089265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.41/2.54 % (4089265)CaDiCaL version: 2.1.3
% 14.41/2.54 % (4089265)Termination reason: Instruction limit
% 14.41/2.54 % (4089265)Termination phase: Saturation
% 14.41/2.54 % (4089265)Time elapsed: 0.101 s
% 14.41/2.54 % (4089265)Peak memory usage: 14 MB
% 14.41/2.54 % (4089265)Instructions burned: 159 (million)
% 14.41/2.54 % (4089288)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3939573516:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.41/2.54 % (4089293)ott-21_1_sil=16000:fs=off:random_seed=869792231:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.41/2.54 % TRYING [1]
% 14.41/2.54 % TRYING [2]
% 14.41/2.54 % TRYING [3]
% 14.41/2.54 % (4089287)Instruction limit reached!
% 14.41/2.54 % (4089287)------------------------------
% 14.41/2.54 % (4089287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.41/2.54 % (4089287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.05/9.11 % (4089287)CaDiCaL version: 2.1.3
% 61.05/9.11 % (4089287)Termination reason: Instruction limit
% 61.05/9.11 % (4089287)Termination phase: Saturation
% 61.05/9.11 % (4089287)Time elapsed: 0.082 s
% 61.05/9.11 % (4089287)Peak memory usage: 13 MB
% 61.05/9.11 % (4089287)Instructions burned: 132 (million)
% 61.05/9.11 % (4089301)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2365369761:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 61.05/9.11 % (4089293)Instruction limit reached!
% 61.05/9.11 % (4089293)------------------------------
% 61.05/9.11 % (4089293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.05/9.11 % (4089293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.05/9.11 % (4089293)CaDiCaL version: 2.1.3
% 61.05/9.11 % (4089293)Termination reason: Instruction limit
% 61.05/9.11 % (4089293)Termination phase: Saturation
% 61.05/9.11 % (4089293)Time elapsed: 0.092 s
% 61.05/9.11 % (4089293)Peak memory usage: 12 MB
% 61.05/9.11 % (4089293)Instructions burned: 182 (million)
% 61.05/9.11 % (4089303)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2361270164:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 61.05/9.11 % TRYING [1]
% 61.05/9.11 % TRYING [2]
% 61.05/9.11 % TRYING [3]
% 61.05/9.11 % (4089282)Instruction limit reached!
% 61.05/9.11 % (4089282)------------------------------
% 61.05/9.11 % (4089282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.05/9.11 % (4089282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.05/9.11 % (4089282)CaDiCaL version: 2.1.3
% 61.05/9.11 % (4089282)Termination reason: Instruction limit
% 61.05/9.11 % (4089282)Termination phase: Finite model building constraint generation
% 61.05/9.11 % (4089282)Time elapsed: 0.345 s
% 61.05/9.11 % (4089282)Peak memory usage: 27 MB
% 61.05/9.11 % (4089282)Instructions burned: 714 (million)
% 61.05/9.11 % (4089318)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3561495506:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 61.05/9.11 % (4089301)Instruction limit reached!
% 61.05/9.11 % (4089301)------------------------------
% 61.05/9.11 % (4089301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.05/9.11 % (4089301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.05/9.11 % (4089301)CaDiCaL version: 2.1.3
% 61.05/9.11 % (4089301)Termination reason: Instruction limit
% 61.05/9.11 % (4089301)Termination phase: Saturation
% 61.05/9.11 % (4089301)Time elapsed: 0.273 s
% 61.05/9.11 % (4089301)Peak memory usage: 14 MB
% 61.05/9.11 % (4089301)Instructions burned: 480 (million)
% 61.05/9.11 % (4089320)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=47637247:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 61.05/9.11 % TRYING [1]
% 61.05/9.11 % TRYING [4]
% 61.05/9.11 % (4089288)Instruction limit reached!
% 61.05/9.11 % (4089288)------------------------------
% 61.05/9.11 % (4089288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.05/9.11 % (4089288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.05/9.11 % (4089288)CaDiCaL version: 2.1.3
% 61.05/9.11 % (4089288)Termination reason: Instruction limit
% 61.05/9.11 % (4089288)Termination phase: Saturation
% 61.05/9.11 % (4089288)Time elapsed: 0.447 s
% 61.05/9.11 % (4089288)Peak memory usage: 16 MB
% 61.05/9.11 % (4089288)Instructions burned: 684 (million)
% 61.05/9.11 % TRYING [2]
% 61.05/9.11 % (4089322)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3979435852:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 61.05/9.11 % (4089303)Instruction limit reached!
% 61.05/9.11 % (4089303)------------------------------
% 61.05/9.11 % (4089303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 61.05/9.11 % (4089303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.05/9.11 % (4089303)CaDiCaL version: 2.1.3
% 61.05/9.11 % (4089303)Termination reason: Instruction limit
% 61.05/9.11 % (4089303)Termination phase: Finite model building SAT solving
% 61.05/9.11 % (4089303)Time elapsed: 0.416 s
% 61.05/9.11 % (4089303)Peak memory usage: 28 MB
% 61.05/9.11 % (4089303)Instructions burned: 866 (million)
% 61.05/9.11 % (4089324)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3244821066:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 61.05/9.11 % (4089320)Cannot represent all propositional literals internally
% 61.05/9.11 % (4089320)Refutation not found, incomplete strategy
% 61.05/9.11 % (4089320)------------------------------
% 68.82/10.28 % (4089320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.82/10.28 % (4089320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.82/10.28 % (4089320)CaDiCaL version: 2.1.3
% 68.82/10.28 % (4089320)Termination reason: Refutation not found, incomplete strategy
% 68.82/10.28 % (4089320)Time elapsed: 0.247 s
% 68.82/10.28 % (4089320)Peak memory usage: 16 MB
% 68.82/10.28 % (4089320)Instructions burned: 494 (million)
% 68.82/10.28 % (4089320)------------------------------
% 68.82/10.28 % (4089320)------------------------------
% 68.82/10.28 % (4089326)fmb+10_1_sil=64000:random_seed=357366442:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 68.82/10.28 % (4089322)Instruction limit reached!
% 68.82/10.28 % (4089322)------------------------------
% 68.82/10.28 % (4089322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.82/10.28 % (4089322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.82/10.28 % (4089322)CaDiCaL version: 2.1.3
% 68.82/10.28 % (4089322)Termination reason: Instruction limit
% 68.82/10.28 % (4089322)Termination phase: Saturation
% 68.82/10.28 % (4089322)Time elapsed: 0.454 s
% 68.82/10.28 % (4089322)Peak memory usage: 18 MB
% 68.82/10.28 % (4089322)Instructions burned: 693 (million)
% 68.82/10.28 % (4089336)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3122362050:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 68.82/10.28 % TRYING [1]
% 68.82/10.28 % TRYING [2]
% 68.82/10.28 % (4089318)Instruction limit reached!
% 68.82/10.28 % (4089318)------------------------------
% 68.82/10.28 % (4089318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.82/10.28 % (4089318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.82/10.28 % (4089318)CaDiCaL version: 2.1.3
% 68.82/10.28 % (4089318)Termination reason: Instruction limit
% 68.82/10.28 % (4089318)Termination phase: Saturation
% 68.82/10.28 % (4089318)Time elapsed: 0.773 s
% 68.82/10.28 % (4089318)Peak memory usage: 16 MB
% 68.82/10.28 % (4089318)Instructions burned: 1179 (million)
% 68.82/10.28 % (4089346)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=692495118:fmbsr=1.7:i=920_2987 on theBenchmark for (2987ds/920Mi)
% 68.82/10.28 % (4089324)Instruction limit reached!
% 68.82/10.28 % (4089324)------------------------------
% 68.82/10.28 % (4089324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.82/10.28 % (4089324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.82/10.28 % (4089324)CaDiCaL version: 2.1.3
% 68.82/10.28 % (4089324)Termination reason: Instruction limit
% 68.82/10.28 % (4089324)Termination phase: Saturation
% 68.82/10.28 % (4089324)Time elapsed: 0.607 s
% 68.82/10.28 % (4089324)Peak memory usage: 19 MB
% 68.82/10.28 % (4089324)Instructions burned: 880 (million)
% 68.82/10.28 % (4089351)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1733256740:i=5131_2986 on theBenchmark for (2986ds/5131Mi)
% 68.82/10.28 % (4089336)Cannot represent all propositional literals internally
% 68.82/10.28 % (4089336)Refutation not found, incomplete strategy
% 68.82/10.28 % (4089336)------------------------------
% 68.82/10.28 % (4089336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.82/10.28 % (4089336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.82/10.28 % (4089336)CaDiCaL version: 2.1.3
% 68.82/10.28 % (4089336)Termination reason: Refutation not found, incomplete strategy
% 68.82/10.28 % (4089336)Time elapsed: 0.388 s
% 68.82/10.28 % (4089336)Peak memory usage: 16 MB
% 68.82/10.28 % (4089336)Instructions burned: 494 (million)
% 68.82/10.28 % (4089336)------------------------------
% 68.82/10.28 % (4089336)------------------------------
% 68.82/10.28 % (4089354)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=846956820:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 68.82/10.28 % TRYING [3]
% 68.82/10.28 % TRYING [8]
% 68.82/10.28 % (4089346)Instruction limit reached!
% 68.82/10.28 % (4089346)------------------------------
% 68.82/10.28 % (4089346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.82/10.28 % (4089346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.82/10.28 % (4089346)CaDiCaL version: 2.1.3
% 68.82/10.28 % (4089346)Termination reason: Instruction limit
% 68.82/10.28 % (4089346)Termination phase: Finite model building constraint generation
% 68.82/10.28 % (4089346)Time elapsed: 0.716 s
% 68.82/10.28 % (4089346)Peak memory usage: 45 MB
% 68.82/10.28 % (4089346)Instructions burned: 921 (million)
% 68.82/10.28 % (4089369)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2497155258:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 68.82/10.28 % (4089369)Cannot represent all propositional literals internally
% 68.82/10.28 % (4089369)Refutation not found, incomplete strategy
% 68.82/10.28 % (4089369)------------------------------
% 68.82/10.28 % (4089369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.82/10.28 % (4089369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.82/10.28 % (4089369)CaDiCaL version: 2.1.3
% 68.82/10.28 % (4089369)Termination reason: Refutation not found, incomplete strategy
% 68.82/10.28 % (4089369)Time elapsed: 0.330 s
% 68.82/10.28 % (4089369)Peak memory usage: 17 MB
% 68.82/10.28 % (4089369)Instructions burned: 497 (million)
% 68.82/10.28 % (4089369)------------------------------
% 68.82/10.28 % (4089369)------------------------------
% 68.82/10.28 % (4089376)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4068587726:fmbsr=2.30978:i=2174_2975 on theBenchmark for (2975ds/2174Mi)
% 68.82/10.28 % (4089354)Instruction limit reached!
% 68.82/10.28 % (4089354)------------------------------
% 68.82/10.28 % (4089354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.82/10.28 % (4089354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.82/10.28 % (4089354)CaDiCaL version: 2.1.3
% 68.82/10.28 % (4089354)Termination reason: Instruction limit
% 68.82/10.28 % (4089354)Termination phase: Saturation
% 68.82/10.28 % (4089354)Time elapsed: 1.318 s
% 68.82/10.28 % (4089354)Peak memory usage: 28 MB
% 68.82/10.28 % (4089354)Instructions burned: 1472 (million)
% 68.82/10.28 % (4089383)ott-2_1_sil=16000:newcnf=on:random_seed=4161982049:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2971 on theBenchmark for (2971ds/869Mi)
% 68.82/10.28 % (4089383)Instruction limit reached!
% 68.82/10.28 % (4089383)------------------------------
% 68.82/10.28 % (4089383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.82/10.28 % (4089383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.82/10.28 % (4089383)CaDiCaL version: 2.1.3
% 68.82/10.28 % (4089383)Termination reason: Instruction limit
% 68.82/10.28 % (4089383)Termination phase: Saturation
% 68.82/10.28 % (4089383)Time elapsed: 0.844 s
% 68.82/10.28 % (4089383)Peak memory usage: 16 MB
% 68.82/10.28 % (4089383)Instructions burned: 869 (million)
% 68.82/10.28 % TRYING [4]
% 68.82/10.28 % (4089392)ott+10_1_sil=32000:tgt=ground:random_seed=2700062554:i=5114:av=off_2962 on theBenchmark for (2962ds/5114Mi)
% 68.82/10.28 % (4089376)Cannot represent all propositional literals internally
% 68.82/10.28 % (4089376)Refutation not found, incomplete strategy
% 68.82/10.28 % (4089376)------------------------------
% 68.82/10.28 % (4089376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.82/10.28 % (4089376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.82/10.28 % (4089376)CaDiCaL version: 2.1.3
% 68.82/10.28 % (4089376)Termination reason: Refutation not found, incomplete strategy
% 68.82/10.28 % (4089376)Time elapsed: 1.572 s
% 68.82/10.28 % (4089376)Peak memory usage: 24 MB
% 68.82/10.28 % (4089376)Instructions burned: 1904 (million)
% 68.82/10.28 % (4089376)------------------------------
% 68.82/10.28 % (4089376)------------------------------
% 68.82/10.28 % (4089395)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3864511559:i=54282_2959 on theBenchmark for (2959ds/54282Mi)
% 68.82/10.28 % TRYING [1]
% 68.82/10.28 % TRYING [2]
% 68.82/10.28 % TRYING [3]
% 68.82/10.28 % TRYING [4]
% 68.82/10.28 % (4089351)Instruction limit reached!
% 68.82/10.28 % (4089351)------------------------------
% 68.82/10.28 % (4089351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.82/10.28 % (4089351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.82/10.28 % (4089351)CaDiCaL version: 2.1.3
% 68.82/10.28 % (4089351)Termination reason: Instruction limit
% 68.82/10.28 % (4089351)Termination phase: Saturation
% 68.82/10.28 % (4089351)Time elapsed: 4.755 s
% 68.82/10.28 % (4089351)Peak memory usage: 30 MB
% 68.82/10.28 % (4089351)Instructions burned: 5132 (million)
% 68.82/10.28 % (4089411)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3274000619:i=3512:aac=none_2938 on theBenchmark for (2938ds/3512Mi)
% 68.82/10.28 % (4089392)Instruction limit reached!
% 68.82/10.28 % (4089392)------------------------------
% 68.82/10.28 % (4089392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.82/10.28 % (4089392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.82/10.28 % (4089392)CaDiCaL version: 2.1.3
% 68.82/10.28 % (4089392)Termination reason: Instruction limit
% 68.82/10.28 % (4089392)Termination phase: Saturation
% 68.82/10.28 % (4089392)Time elapsed: 4.881 s
% 68.82/10.28 % (4089392)Peak memory usage: 22 MB
% 68.82/10.28 % (4089392)Instructions burned: 5114 (million)
% 68.82/10.28 % (4089419)dis+21_1_sil=32000:sas=cadical:random_seed=3436380157:i=3773:amm=off_2913 on theBenchmark for (2913ds/3773Mi)
% 68.82/10.28 % (4089411)Instruction limit reached!
% 68.82/10.28 % (4089411)------------------------------
% 68.82/10.28 % (4089411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.82/10.28 % (4089411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.82/10.28 % (4089411)CaDiCaL version: 2.1.3
% 68.82/10.28 % (4089411)Termination reason: Instruction limit
% 68.82/10.28 % (4089411)Termination phase: Saturation
% 68.82/10.28 % (4089411)Time elapsed: 3.358 s
% 68.82/10.28 % (4089411)Peak memory usage: 25 MB
% 68.82/10.28 % (4089411)Instructions burned: 3513 (million)
% 68.82/10.28 % (4089423)ott+11_1_sil=16000:gs=on:random_seed=1450735790:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2904 on theBenchmark for (2904ds/2251Mi)
% 68.82/10.28 % (4089423) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4089238-4089423"...
% 68.82/10.28 % (4089423)...printing done.
% 68.82/10.28 % (4089423)Refutation found. Thanks to Tanya!
% 68.82/10.28 % SZS status Unsatisfiable for theBenchmark
% 68.82/10.28 % SZS output start Proof for theBenchmark
% See solution above
% 68.82/10.28 % (4089423)------------------------------
% 68.82/10.28 % (4089423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 68.82/10.28 % (4089423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.82/10.28 % (4089423)CaDiCaL version: 2.1.3
% 68.82/10.28 % (4089423)Termination reason: Refutation
% 68.82/10.28 % (4089423)Time elapsed: 0.142 s
% 68.82/10.28 % (4089423)Peak memory usage: 15 MB
% 68.82/10.28 % (4089423)Instructions burned: 200 (million)
% 68.82/10.28 % (4089238)Success in time 9.841 s
% 68.82/10.28 % Vampire exiting
%------------------------------------------------------------------------------