%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW208+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:39:37 PM UTC 2026
% Result : Theorem 8.90s 1.79s
% Output : Refutation 8.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 24
% Syntax : Number of formulae : 94 ( 30 unt; 2 def)
% Number of atoms : 171 ( 33 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 122 ( 45 ~; 58 |; 3 &)
% ( 7 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-3 aty)
% Number of variables : 75 ( 0 sgn 74 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_rp) ).
fof(f4,axiom,
! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_th) ).
fof(f30,axiom,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
=> X1 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__antisym) ).
fof(f38,axiom,
! [X0,X1] :
( class_Groups_Ocomm__monoid__add(X1)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__0) ).
fof(f60,axiom,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
| X1 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__eq__real__def) ).
fof(f61,axiom,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
& X1 != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__less__def) ).
fof(f84,axiom,
! [X0,X1] :
( class_Rings_Olinordered__semidom(X1)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),c_Groups_Oone__class_Oone(X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__add__one) ).
fof(f101,axiom,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__norm__def) ).
fof(f139,axiom,
! [X0,X1,X2] :
( class_Orderings_Olinorder(X2)
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,X1),X0))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__not__less) ).
fof(f361,axiom,
! [X0] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
<=> X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__0__eq) ).
fof(f454,axiom,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),c_RComplete_Onatceiling(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natceiling__mono) ).
fof(f456,axiom,
! [X0] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
=> c_RComplete_Onatceiling(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natceiling__neg) ).
fof(f472,axiom,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__zero) ).
fof(f484,axiom,
! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__natceiling__ge) ).
fof(f491,axiom,
! [X0] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
=> c_RComplete_Onatfloor(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natfloor__neg) ).
fof(f777,axiom,
! [X0,X1] :
( class_Groups_Ogroup__add(X1)
=> c_Groups_Ominus__class_Ominus(X1,X0,X0) = c_Groups_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__self) ).
fof(f867,axiom,
! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__natfloor__gt__diff__one) ).
fof(f1138,axiom,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semidom) ).
fof(f1147,axiom,
class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ocomm__monoid__add) ).
fof(f1158,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Olinorder) ).
fof(f1163,axiom,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ogroup__add) ).
fof(f1269,conjecture,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
& ! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X0)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1270,negated_conjecture,
~ ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
& ! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X0)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
inference(negated_conjecture,[status(cth)],[f1269]) ).
fof(f1307,plain,
! [X0,X1] :
( X1 = X0
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
inference(ennf_transformation,[],[f30]) ).
fof(f1308,plain,
! [X0,X1] :
( X1 = X0
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
inference(flattening,[],[f1307]) ).
fof(f1315,plain,
! [X0,X1] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),X0) = X0
| ~ class_Groups_Ocomm__monoid__add(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f1379,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),c_Groups_Oone__class_Oone(X1))))
| ~ class_Rings_Olinordered__semidom(X1) ),
inference(ennf_transformation,[],[f84]) ).
fof(f1467,plain,
! [X0,X1,X2] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,X1),X0))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X0),X1)) )
| ~ class_Orderings_Olinorder(X2) ),
inference(ennf_transformation,[],[f139]) ).
fof(f1801,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),c_RComplete_Onatceiling(X0)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
inference(ennf_transformation,[],[f454]) ).
fof(f1802,plain,
! [X0] :
( c_RComplete_Onatceiling(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
inference(ennf_transformation,[],[f456]) ).
fof(f1821,plain,
! [X0] :
( c_RComplete_Onatfloor(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
inference(ennf_transformation,[],[f491]) ).
fof(f2057,plain,
! [X0,X1] :
( c_Groups_Ominus__class_Ominus(X1,X0,X0) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Groups_Ogroup__add(X1) ),
inference(ennf_transformation,[],[f777]) ).
fof(f2323,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| ? [X0] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,X0)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
inference(ennf_transformation,[],[f1270]) ).
fof(f2325,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
inference(cnf_transformation,[],[f2]) ).
fof(f2327,plain,
! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(cnf_transformation,[],[f4]) ).
fof(f2354,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f1308]) ).
fof(f2363,plain,
! [X0,X1] :
( ~ class_Groups_Ocomm__monoid__add(X1)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),c_Groups_Ozero__class_Ozero(X1)),X0) = X0 ),
inference(cnf_transformation,[],[f1315]) ).
fof(f2392,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f2393,plain,
! [X0,X1] :
( X0 != X1
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f2424,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X1),X0),c_Groups_Oone__class_Oone(X1))))
| ~ class_Rings_Olinordered__semidom(X1) ),
inference(cnf_transformation,[],[f1379]) ).
fof(f2446,plain,
! [X0] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f101]) ).
fof(f2494,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2,X1),X0))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2,X0),X1))
| ~ class_Orderings_Olinorder(X2) ),
inference(cnf_transformation,[],[f1467]) ).
fof(f2807,plain,
! [X0] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0 ),
inference(cnf_transformation,[],[f361]) ).
fof(f2951,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),c_RComplete_Onatceiling(X0)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
inference(cnf_transformation,[],[f1801]) ).
fof(f2953,plain,
! [X0] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatceiling(X0) ),
inference(cnf_transformation,[],[f1802]) ).
fof(f2973,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
inference(cnf_transformation,[],[f472]) ).
fof(f2988,plain,
! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X0)))),
inference(cnf_transformation,[],[f484]) ).
fof(f2996,plain,
! [X0] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatfloor(X0) ),
inference(cnf_transformation,[],[f1821]) ).
fof(f3380,plain,
! [X0,X1] :
( ~ class_Groups_Ogroup__add(X1)
| c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ominus__class_Ominus(X1,X0,X0) ),
inference(cnf_transformation,[],[f2057]) ).
fof(f3511,plain,
! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X0)))),
inference(cnf_transformation,[],[f867]) ).
fof(f3873,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1138]) ).
fof(f3882,plain,
class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1147]) ).
fof(f3893,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1158]) ).
fof(f3898,plain,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1163]) ).
fof(f4004,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK76)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
inference(cnf_transformation,[],[f2323]) ).
fof(f4206,plain,
! [X1] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X1)),
inference(equality_resolution,[],[f2393]) ).
fof(f4386,definition,
( spl77_1
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
introduced(definition,[new_symbols(definition,[spl77_1])],[avatar_definition]) ).
fof(f4388,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| spl77_1 ),
inference(avatar_component_clause,[],[f4386]) ).
fof(f4390,definition,
( spl77_2
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK76)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
introduced(definition,[new_symbols(definition,[spl77_2])],[avatar_definition]) ).
fof(f4392,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK76)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| spl77_2 ),
inference(avatar_component_clause,[],[f4390]) ).
fof(f4393,plain,
( ~ spl77_1
| ~ spl77_2 ),
inference(avatar_split_clause,[],[f4004,f4390,f4386]) ).
fof(f4451,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X0),
inference(resolution,[],[f3380,f3898]) ).
fof(f4652,plain,
! [X0] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0) = X0,
inference(resolution,[],[f2363,f3882]) ).
fof(f5809,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| ~ class_Orderings_Olinorder(tc_RealDef_Oreal)
| spl77_1 ),
inference(resolution,[],[f2494,f4388]) ).
fof(f5832,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| spl77_1 ),
inference(forward_subsumption_resolution,[],[f5809,f3893]) ).
fof(f5833,plain,
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
| spl77_1 ),
inference(resolution,[],[f5832,f2996]) ).
fof(f5834,plain,
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
| spl77_1 ),
inference(resolution,[],[f5832,f2953]) ).
fof(f5836,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
| spl77_1 ),
inference(superposition,[],[f3511,f5833]) ).
fof(f5837,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| spl77_1 ),
inference(forward_demodulation,[],[f5836,f2973]) ).
fof(f6158,plain,
( ! [X0] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
| spl77_1 ),
inference(superposition,[],[f2951,f5834]) ).
fof(f6167,plain,
( ! [X0] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
| spl77_1 ),
inference(resolution,[],[f6158,f2392]) ).
fof(f6187,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(v_r)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| ~ class_Rings_Olinordered__semidom(tc_RealDef_Oreal)
| spl77_1 ),
inference(resolution,[],[f6167,f2424]) ).
fof(f6190,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(v_r)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| spl77_1 ),
inference(forward_subsumption_resolution,[],[f6187,f3873]) ).
fof(f6207,plain,
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatceiling(v_r)
| spl77_1 ),
inference(resolution,[],[f6190,f2807]) ).
fof(f6224,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
| spl77_1 ),
inference(superposition,[],[f2988,f6207]) ).
fof(f6225,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| spl77_1 ),
inference(forward_demodulation,[],[f6224,f2973]) ).
fof(f6491,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v_r ),
inference(resolution,[],[f2354,f2325]) ).
fof(f6504,plain,
( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v_r
| spl77_1 ),
inference(forward_subsumption_resolution,[],[f6491,f6225]) ).
fof(f6548,plain,
( ! [X0] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),X0) = X0
| spl77_1 ),
inference(superposition,[],[f4652,f6504]) ).
fof(f7500,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| spl77_1 ),
inference(superposition,[],[f5837,f6548]) ).
fof(f7525,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),v_r))
| spl77_1 ),
inference(forward_demodulation,[],[f7500,f6504]) ).
fof(f7537,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r))
| spl77_1 ),
inference(forward_demodulation,[],[f7525,f4451]) ).
fof(f7539,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_r),v_r))
| spl77_1 ),
inference(forward_demodulation,[],[f7537,f6504]) ).
fof(f7540,plain,
( $false
| spl77_1 ),
inference(forward_subsumption_resolution,[],[f7539,f4206]) ).
fof(f7541,plain,
spl77_1,
inference(avatar_contradiction_clause,[],[f7540]) ).
fof(f7542,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,sK76)))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| spl77_2 ),
inference(forward_demodulation,[],[f4392,f2446]) ).
fof(f10622,plain,
! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(forward_demodulation,[],[f2327,f2446]) ).
fof(f13643,plain,
( $false
| spl77_2 ),
inference(resolution,[],[f10622,f7542]) ).
fof(f13650,plain,
spl77_2,
inference(avatar_contradiction_clause,[],[f13643]) ).
cnf(s1,plain,
( ~ spl77_1
| ~ spl77_2 ),
inference(sat_conversion,[],[f4393]) ).
cnf(s9,plain,
spl77_1,
inference(sat_conversion,[],[f7541]) ).
cnf(s28,plain,
spl77_2,
inference(sat_conversion,[],[f13650]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s1,s28,s9]) ).
fof(f13655,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW208+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 13:22:18 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 8.90/1.79 % (3618142)Will run a generic schedule for satisfiability detection.
% 8.90/1.79 % (3618153)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=482193973:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.90/1.79 % (3618148)% WARNING: option uhcvi not known.
% 8.90/1.79 % (3618149)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3361422654:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.90/1.79 % (3618147)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1044457214_2999 on theBenchmark for (2999ds/0Mi)
% 8.90/1.79 % (3618150)dis+10_1_sil=32000:sp=arity:random_seed=2218079124:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.90/1.79 % (3618148)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2322071255:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.90/1.79 % (3618152)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=236114104:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.90/1.79 % (3618151)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1928818810:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.90/1.79 % (3618153)Instruction limit reached!
% 8.90/1.79 % (3618153)------------------------------
% 8.90/1.79 % (3618153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.79 % (3618153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.79 % (3618153)CaDiCaL version: 2.1.3
% 8.90/1.79 % (3618153)Termination reason: Instruction limit
% 8.90/1.79 % (3618153)Termination phase: Saturation
% 8.90/1.79 % (3618153)Time elapsed: 0.047 s
% 8.90/1.79 % (3618153)Peak memory usage: 15 MB
% 8.90/1.79 % (3618153)Instructions burned: 160 (million)
% 8.90/1.79 % (3618150)Instruction limit reached!
% 8.90/1.79 % (3618150)------------------------------
% 8.90/1.79 % (3618150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.79 % (3618150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.79 % (3618150)CaDiCaL version: 2.1.3
% 8.90/1.79 % (3618150)Termination reason: Instruction limit
% 8.90/1.79 % (3618150)Termination phase: Saturation
% 8.90/1.79 % (3618150)Time elapsed: 0.047 s
% 8.90/1.79 % (3618150)Peak memory usage: 13 MB
% 8.90/1.79 % (3618150)Instructions burned: 104 (million)
% 8.90/1.79 % (3618151)Instruction limit reached!
% 8.90/1.79 % (3618151)------------------------------
% 8.90/1.79 % (3618151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.79 % (3618151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.79 % (3618151)CaDiCaL version: 2.1.3
% 8.90/1.79 % (3618151)Termination reason: Instruction limit
% 8.90/1.79 % (3618151)Termination phase: Property scanning
% 8.90/1.79 % (3618151)Time elapsed: 0.054 s
% 8.90/1.79 % (3618151)Peak memory usage: 14 MB
% 8.90/1.79 % (3618151)Instructions burned: 117 (million)
% 8.90/1.79 % (3618161)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4107544452:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.90/1.79 % (3618152)Instruction limit reached!
% 8.90/1.79 % (3618152)------------------------------
% 8.90/1.79 % (3618152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.79 % (3618152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.79 % (3618152)CaDiCaL version: 2.1.3
% 8.90/1.79 % (3618152)Termination reason: Instruction limit
% 8.90/1.79 % (3618152)Termination phase: Saturation
% 8.90/1.79 % (3618152)Time elapsed: 0.064 s
% 8.90/1.79 % (3618152)Peak memory usage: 14 MB
% 8.90/1.79 % (3618152)Instructions burned: 132 (million)
% 8.90/1.79 % (3618162)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2842776911:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.90/1.79 % (3618163)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=2203860211:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.90/1.79 % (3618165)ott-21_1_sil=16000:fs=off:random_seed=2399660876:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.90/1.79 % (3618162)Instruction limit reached!
% 8.90/1.79 % (3618162)------------------------------
% 8.90/1.79 % (3618162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.79 % (3618162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.79 % (3618162)CaDiCaL version: 2.1.3
% 8.90/1.79 % (3618162)Termination reason: Instruction limit
% 8.90/1.79 % (3618162)Termination phase: Property scanning
% 8.90/1.79 % (3618162)Time elapsed: 0.058 s
% 8.90/1.79 % (3618162)Peak memory usage: 13 MB
% 8.90/1.79 % (3618162)Instructions burned: 131 (million)
% 8.90/1.79 % (3618169)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2369805509:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.90/1.79 % (3618165)Instruction limit reached!
% 8.90/1.79 % (3618165)------------------------------
% 8.90/1.79 % (3618165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.79 % (3618165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.79 % (3618165)CaDiCaL version: 2.1.3
% 8.90/1.79 % (3618165)Termination reason: Instruction limit
% 8.90/1.79 % (3618165)Termination phase: Saturation
% 8.90/1.79 % (3618165)Time elapsed: 0.086 s
% 8.90/1.79 % (3618165)Peak memory usage: 14 MB
% 8.90/1.79 % (3618165)Instructions burned: 180 (million)
% 8.90/1.79 % (3618171)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2431481488:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.90/1.79 % (3618161)Instruction limit reached!
% 8.90/1.79 % (3618161)------------------------------
% 8.90/1.79 % (3618161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.79 % (3618161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.79 % (3618161)CaDiCaL version: 2.1.3
% 8.90/1.79 % (3618161)Termination reason: Instruction limit
% 8.90/1.79 % (3618161)Termination phase: Finite model building preprocessing
% 8.90/1.79 % (3618161)Time elapsed: 0.210 s
% 8.90/1.79 % (3618161)Peak memory usage: 22 MB
% 8.90/1.79 % (3618161)Instructions burned: 714 (million)
% 8.90/1.79 % (3618173)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3142633211:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 8.90/1.79 % (3618169)Instruction limit reached!
% 8.90/1.79 % (3618169)------------------------------
% 8.90/1.79 % (3618169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.79 % (3618169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.79 % (3618169)CaDiCaL version: 2.1.3
% 8.90/1.79 % (3618169)Termination reason: Instruction limit
% 8.90/1.79 % (3618169)Termination phase: Saturation
% 8.90/1.79 % (3618169)Time elapsed: 0.276 s
% 8.90/1.79 % (3618169)Peak memory usage: 16 MB
% 8.90/1.79 % (3618169)Instructions burned: 477 (million)
% 8.90/1.79 % (3618175)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1493052621:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 8.90/1.79 % (3618163)Instruction limit reached!
% 8.90/1.79 % (3618163)------------------------------
% 8.90/1.79 % (3618163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.79 % (3618163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.79 % (3618163)CaDiCaL version: 2.1.3
% 8.90/1.79 % (3618163)Termination reason: Instruction limit
% 8.90/1.79 % (3618163)Termination phase: Saturation
% 8.90/1.79 % (3618163)Time elapsed: 0.404 s
% 8.90/1.79 % (3618163)Peak memory usage: 18 MB
% 8.90/1.79 % (3618163)Instructions burned: 684 (million)
% 8.90/1.79 % (3618177)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=331271343:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 8.90/1.79 % (3618171)Instruction limit reached!
% 8.90/1.79 % (3618171)------------------------------
% 8.90/1.79 % (3618171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.79 % (3618171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.79 % (3618171)CaDiCaL version: 2.1.3
% 8.90/1.79 % (3618171)Termination reason: Instruction limit
% 8.90/1.79 % (3618171)Termination phase: Finite model building preprocessing
% 8.90/1.79 % (3618171)Time elapsed: 0.435 s
% 8.90/1.79 % (3618171)Peak memory usage: 25 MB
% 8.90/1.79 % (3618171)Instructions burned: 865 (million)
% 8.90/1.79 % TRYING [1]
% 8.90/1.79 % (3618179)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3711667324:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 8.90/1.79 % (3618173)Instruction limit reached!
% 8.90/1.79 % (3618173)------------------------------
% 8.90/1.79 % (3618173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.79 % (3618173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.79 % (3618173)CaDiCaL version: 2.1.3
% 8.90/1.79 % (3618173)Termination reason: Instruction limit
% 8.90/1.79 % (3618173)Termination phase: Saturation
% 8.90/1.79 % (3618173)Time elapsed: 0.372 s
% 8.90/1.79 % (3618173)Peak memory usage: 23 MB
% 8.90/1.79 % (3618173)Instructions burned: 1182 (million)
% 8.90/1.79 % (3618181)fmb+10_1_sil=64000:random_seed=4092306962:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 8.90/1.79 % TRYING [2]
% 8.90/1.79 % (3618175)Instruction limit reached!
% 8.90/1.79 % (3618175)------------------------------
% 8.90/1.79 % (3618175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.79 % (3618175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.79 % (3618175)CaDiCaL version: 2.1.3
% 8.90/1.79 % (3618175)Termination reason: Instruction limit
% 8.90/1.79 % (3618175)Termination phase: Finite model building preprocessing
% 8.90/1.79 % (3618175)Time elapsed: 0.449 s
% 8.90/1.79 % (3618175)Peak memory usage: 26 MB
% 8.90/1.79 % (3618175)Instructions burned: 890 (million)
% 8.90/1.79 % (3618183)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=489267598:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.90/1.79 % TRYING [3]
% 8.90/1.79 % (3618177)Instruction limit reached!
% 8.90/1.79 % (3618177)------------------------------
% 8.90/1.79 % (3618177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.79 % (3618177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.79 % (3618177)CaDiCaL version: 2.1.3
% 8.90/1.79 % (3618177)Termination reason: Instruction limit
% 8.90/1.79 % (3618177)Termination phase: Saturation
% 8.90/1.79 % (3618177)Time elapsed: 0.428 s
% 8.90/1.79 % (3618177)Peak memory usage: 21 MB
% 8.90/1.79 % (3618177)Instructions burned: 694 (million)
% 8.90/1.79 % (3618185)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3176305805:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 8.90/1.79 % TRYING [1]
% 8.90/1.79 % TRYING [2]
% 8.90/1.79 % (3618179)Instruction limit reached!
% 8.90/1.79 % (3618179)------------------------------
% 8.90/1.79 % (3618179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.79 % (3618179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.79 % (3618179)CaDiCaL version: 2.1.3
% 8.90/1.79 % (3618179)Termination reason: Instruction limit
% 8.90/1.79 % (3618179)Termination phase: Saturation
% 8.90/1.79 % (3618179)Time elapsed: 0.439 s
% 8.90/1.79 % (3618179)Peak memory usage: 21 MB
% 8.90/1.79 % (3618179)Instructions burned: 880 (million)
% 8.90/1.79 % (3618187)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2830243752:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 8.90/1.79 % (3618185)Instruction limit reached!
% 8.90/1.79 % (3618185)------------------------------
% 8.90/1.79 % (3618185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.79 % (3618185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.79 % (3618185)CaDiCaL version: 2.1.3
% 8.90/1.79 % (3618185)Termination reason: Instruction limit
% 8.90/1.79 % (3618185)Termination phase: Finite model building preprocessing
% 8.90/1.79 % (3618185)Time elapsed: 0.472 s
% 8.90/1.79 % (3618185)Peak memory usage: 27 MB
% 8.90/1.79 % (3618185)Instructions burned: 922 (million)
% 8.90/1.79 % (3618187) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3618142-3618187"...
% 8.90/1.79 % (3618187)...printing done.
% 8.90/1.79 % (3618187)Refutation found. Thanks to Tanya!
% 8.90/1.79 % SZS status Theorem for theBenchmark
% 8.90/1.79 % SZS output start Proof for theBenchmark
% See solution above
% 8.90/1.79 % (3618187)------------------------------
% 8.90/1.79 % (3618187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.79 % (3618187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.79 % (3618187)CaDiCaL version: 2.1.3
% 8.90/1.79 % (3618187)Termination reason: Refutation
% 8.90/1.79 % (3618187)Time elapsed: 0.327 s
% 8.90/1.79 % (3618187)Peak memory usage: 19 MB
% 8.90/1.79 % (3618187)Instructions burned: 558 (million)
% 8.90/1.79 % (3618142)Success in time 1.548 s
% 8.90/1.79 % Vampire exiting
%------------------------------------------------------------------------------