%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW207+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 : n007.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 2.87s 0.77s
% Output : Refutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 25
% Syntax : Number of formulae : 124 ( 39 unt; 4 def)
% Number of atoms : 227 ( 40 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 200 ( 97 ~; 87 |; 3 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-3 aty)
% Number of variables : 93 ( 0 sgn 90 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,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(f5,axiom,
! [X0,X1] :
( class_Groups_Oordered__ab__group__add__abs(X1)
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X0)),c_Groups_Ozero__class_Ozero(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__not__less__zero) ).
fof(f13,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(f56,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(f58,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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__linear) ).
fof(f87,axiom,
! [X0,X1] :
( class_RealVector_Oreal__normed__vector(X1)
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__not__less__zero) ).
fof(f90,axiom,
! [X0] :
( class_RealVector_Oreal__normed__vector(X0)
=> c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__zero) ).
fof(f93,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(f106,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(f110,axiom,
! [X0] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__add__one__not__less__self) ).
fof(f133,axiom,
! [X0] : 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),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__add__one__gt__zero) ).
fof(f160,axiom,
! [X0] :
( class_Rings_Olinordered__semidom(X0)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oone__class_Oone(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__one) ).
fof(f422,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(f572,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(f760,axiom,
! [X0,X1,X2] :
( class_Groups_Ogroup__add(X2)
=> c_Groups_Ominus__class_Ominus(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X0),X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__diff__cancel) ).
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(f1121,axiom,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs) ).
fof(f1128,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
fof(f1138,axiom,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semidom) ).
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,
? [X0] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
& ! [X1] : 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____,X1)))))),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1270,negated_conjecture,
~ ? [X0] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
& ! [X1] : 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____,X1)))))),X0)) ),
inference(negated_conjecture,[status(cth)],[f1269]) ).
fof(f1278,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X0)),c_Groups_Ozero__class_Ozero(X1)))
| ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f1360,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,[],[f56]) ).
fof(f1361,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,[],[f1360]) ).
fof(f1406,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(ennf_transformation,[],[f87]) ).
fof(f1409,plain,
! [X0] :
( c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f1499,plain,
! [X0] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oone__class_Oone(X0)))
| ~ class_Rings_Olinordered__semidom(X0) ),
inference(ennf_transformation,[],[f160]) ).
fof(f1763,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,[],[f422]) ).
fof(f2041,plain,
! [X0,X1,X2] :
( c_Groups_Ominus__class_Ominus(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X0),X0) = X1
| ~ class_Groups_Ogroup__add(X2) ),
inference(ennf_transformation,[],[f760]) ).
fof(f2323,plain,
! [X0] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
| ? [X1] : ~ 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____,X1)))))),X0)) ),
inference(ennf_transformation,[],[f1270]) ).
fof(f2327,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,[],[f4]) ).
fof(f2328,plain,
! [X0,X1] :
( ~ class_Groups_Oordered__ab__group__add__abs(X1)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,c_Groups_Oabs__class_Oabs(X1,X0)),c_Groups_Ozero__class_Ozero(X1))) ),
inference(cnf_transformation,[],[f1278]) ).
fof(f2339,plain,
! [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)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f2340,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
| X0 = X1
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0)) ),
inference(cnf_transformation,[],[f13]) ).
fof(f2393,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,[],[f1361]) ).
fof(f2395,plain,
! [X0,X1] :
( 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(cnf_transformation,[],[f58]) ).
fof(f2437,plain,
! [X0,X1] :
( ~ class_RealVector_Oreal__normed__vector(X1)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
inference(cnf_transformation,[],[f1406]) ).
fof(f2441,plain,
! [X0] :
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) ),
inference(cnf_transformation,[],[f1409]) ).
fof(f2444,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,[],[f93]) ).
fof(f2462,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f106]) ).
fof(f2470,plain,
! [X0] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X0)),
inference(cnf_transformation,[],[f110]) ).
fof(f2498,plain,
! [X0] : 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),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)))),
inference(cnf_transformation,[],[f133]) ).
fof(f2532,plain,
! [X0] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0)),c_Groups_Oone__class_Oone(X0)))
| ~ class_Rings_Olinordered__semidom(X0) ),
inference(cnf_transformation,[],[f1499]) ).
fof(f2888,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,[],[f1763]) ).
fof(f3095,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,[],[f572]) ).
fof(f3358,plain,
! [X2,X0,X1] :
( ~ class_Groups_Ogroup__add(X2)
| c_Groups_Ominus__class_Ominus(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X2),X1),X0),X0) = X1 ),
inference(cnf_transformation,[],[f2041]) ).
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(f3856,plain,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1121]) ).
fof(f3863,plain,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1128]) ).
fof(f3873,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1138]) ).
fof(f3898,plain,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1163]) ).
fof(f4004,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,hAPP(v_f____,hAPP(v_ga____,sK76(X0))))))),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
inference(cnf_transformation,[],[f2323]) ).
fof(f4403,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,hAPP(v_f____,hAPP(v_ga____,sK76(X0))))))),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
inference(superposition,[],[f4004,f2462]) ).
fof(f4425,plain,
! [X0] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X0)),
inference(forward_demodulation,[],[f2470,f2462]) ).
fof(f4428,plain,
! [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,X0),X1))
| X0 = X1 ),
inference(resolution,[],[f2340,f2395]) ).
fof(f4529,plain,
! [X0] : 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),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)))),
inference(forward_demodulation,[],[f2498,f2462]) ).
fof(f4562,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
| X0 = X1
| X0 = X1
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0)) ),
inference(resolution,[],[f4428,f2340]) ).
fof(f4564,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X0))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0),X1))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f4562]) ).
fof(f4995,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,[],[f2444,f2462]) ).
fof(f5398,definition,
( spl77_65
<=> c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v_r ),
introduced(definition,[new_symbols(definition,[spl77_65])],[avatar_definition]) ).
fof(f5400,plain,
( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v_r
| ~ spl77_65 ),
inference(avatar_component_clause,[],[f5398]) ).
fof(f5402,definition,
( spl77_66
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
introduced(definition,[new_symbols(definition,[spl77_66])],[avatar_definition]) ).
fof(f5403,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| spl77_66 ),
inference(avatar_component_clause,[],[f5402]) ).
fof(f5407,definition,
( spl77_67
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_r),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
introduced(definition,[new_symbols(definition,[spl77_67])],[avatar_definition]) ).
fof(f5408,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_r),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| spl77_67 ),
inference(avatar_component_clause,[],[f5407]) ).
fof(f5409,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_r),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| ~ spl77_67 ),
inference(avatar_component_clause,[],[f5407]) ).
fof(f5548,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)))),
inference(resolution,[],[f4995,f4403]) ).
fof(f5584,definition,
( spl77_73
<=> 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_73])],[avatar_definition]) ).
fof(f5585,plain,
( 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_73 ),
inference(avatar_component_clause,[],[f5584]) ).
fof(f5586,plain,
( 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_73 ),
inference(avatar_component_clause,[],[f5584]) ).
fof(f7088,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| ~ spl77_67 ),
inference(resolution,[],[f5409,f2339]) ).
fof(f7089,plain,
( $false
| spl77_66
| ~ spl77_67 ),
inference(forward_subsumption_resolution,[],[f7088,f5403]) ).
fof(f7090,plain,
( spl77_66
| ~ spl77_67 ),
inference(avatar_contradiction_clause,[],[f7089]) ).
fof(f7935,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,[],[f2327,f2393]) ).
fof(f7947,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(resolution,[],[f2441,f3863]) ).
fof(f8085,plain,
( spl77_65
| ~ spl77_66 ),
inference(avatar_split_clause,[],[f7935,f5402,f5398]) ).
fof(f8105,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_r),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| ~ spl77_65 ),
inference(superposition,[],[f5548,f5400]) ).
fof(f8107,plain,
( v_r = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r)
| ~ spl77_65 ),
inference(superposition,[],[f7947,f5400]) ).
fof(f8129,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),v_r))
| ~ spl77_65 ),
inference(superposition,[],[f4425,f8107]) ).
fof(f8130,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),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),v_r)))
| ~ spl77_65 ),
inference(superposition,[],[f4529,f8107]) ).
fof(f8134,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_r),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),v_r)))
| ~ spl77_65 ),
inference(forward_demodulation,[],[f8130,f5400]) ).
fof(f8661,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),v_r))
| v_r = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ spl77_65 ),
inference(resolution,[],[f8105,f4564]) ).
fof(f8900,plain,
( v_r = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ spl77_65 ),
inference(forward_subsumption_resolution,[],[f8661,f8129]) ).
fof(f8907,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)))),v_r))
| ~ spl77_65 ),
inference(superposition,[],[f4995,f8900]) ).
fof(f9029,plain,
! [X0] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(resolution,[],[f2328,f3856]) ).
fof(f9031,plain,
( ! [X0] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)),v_r))
| ~ spl77_65 ),
inference(forward_demodulation,[],[f9029,f5400]) ).
fof(f9032,plain,
( ! [X0] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)),v_r))
| ~ spl77_65 ),
inference(forward_demodulation,[],[f9031,f2462]) ).
fof(f9047,plain,
( ! [X0] :
( v_r = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))),v_r)) )
| ~ spl77_65 ),
inference(resolution,[],[f8907,f2340]) ).
fof(f9048,plain,
( ! [X0] : v_r = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))
| ~ spl77_65 ),
inference(forward_subsumption_resolution,[],[f9047,f9032]) ).
fof(f9052,plain,
( ! [X0] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) )
| ~ spl77_65 ),
inference(superposition,[],[f4403,f9048]) ).
fof(f9075,plain,
( ! [X0] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_r),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),X0)) )
| ~ spl77_65 ),
inference(forward_demodulation,[],[f9052,f5400]) ).
fof(f9080,plain,
( ! [X0] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_r),X0))
| ~ spl77_65 ),
inference(forward_subsumption_resolution,[],[f9075,f2339]) ).
fof(f9093,plain,
( $false
| ~ spl77_65 ),
inference(resolution,[],[f9080,f8134]) ).
fof(f9112,plain,
~ spl77_65,
inference(avatar_contradiction_clause,[],[f9093]) ).
fof(f9529,plain,
! [X0] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(resolution,[],[f2437,f3863]) ).
fof(f9821,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)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| ~ spl77_73 ),
inference(superposition,[],[f4995,f5586]) ).
fof(f10299,plain,
( ! [X0] :
( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) )
| ~ spl77_73 ),
inference(resolution,[],[f9821,f2340]) ).
fof(f10300,plain,
( ! [X0] : c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X0)))
| ~ spl77_73 ),
inference(forward_subsumption_resolution,[],[f10299,f9529]) ).
fof(f10309,plain,
( ! [X0] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) )
| ~ spl77_73 ),
inference(superposition,[],[f4403,f10300]) ).
fof(f10335,plain,
( ! [X0] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0))
| ~ spl77_73 ),
inference(forward_subsumption_resolution,[],[f10309,f2339]) ).
fof(f10343,plain,
( ~ class_Rings_Olinordered__semidom(tc_RealDef_Oreal)
| ~ spl77_73 ),
inference(resolution,[],[f10335,f2532]) ).
fof(f10359,plain,
( $false
| ~ spl77_73 ),
inference(forward_subsumption_resolution,[],[f10343,f3873]) ).
fof(f10360,plain,
~ spl77_73,
inference(avatar_contradiction_clause,[],[f10359]) ).
fof(f10366,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,hAPP(v_f____,hAPP(v_ga____,sK76(X0))))))),X0))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X0)) ),
inference(forward_demodulation,[],[f4004,f2462]) ).
fof(f10488,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)))),
inference(resolution,[],[f10366,f4995]) ).
fof(f10495,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)))
| 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(resolution,[],[f10488,f4428]) ).
fof(f10496,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_73 ),
inference(forward_subsumption_resolution,[],[f10495,f5585]) ).
fof(f11183,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_73 ),
inference(resolution,[],[f2888,f10496]) ).
fof(f13205,plain,
! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X0),X1),X1) = X0,
inference(resolution,[],[f3358,f3898]) ).
fof(f13401,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_73 ),
inference(superposition,[],[f3511,f11183]) ).
fof(f13407,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_73 ),
inference(forward_demodulation,[],[f13401,f3095]) ).
fof(f13474,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_r),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| spl77_73 ),
inference(forward_demodulation,[],[f13407,f13205]) ).
fof(f13478,plain,
( $false
| spl77_67
| spl77_73 ),
inference(forward_subsumption_resolution,[],[f13474,f5408]) ).
fof(f13479,plain,
( spl77_67
| spl77_73 ),
inference(avatar_contradiction_clause,[],[f13478]) ).
cnf(s226,plain,
( spl77_66
| ~ spl77_67 ),
inference(sat_conversion,[],[f7090]) ).
cnf(s299,plain,
( spl77_65
| ~ spl77_66 ),
inference(sat_conversion,[],[f8085]) ).
cnf(s357,plain,
~ spl77_65,
inference(sat_conversion,[],[f9112]) ).
cnf(s437,plain,
~ spl77_73,
inference(sat_conversion,[],[f10360]) ).
cnf(s629,plain,
( spl77_67
| spl77_73 ),
inference(sat_conversion,[],[f13479]) ).
cnf(s630,plain,
spl77_67,
inference(rat,[],[s629,s437]) ).
cnf(s632,plain,
~ spl77_66,
inference(rat,[],[s299,s357]) ).
cnf(s648,plain,
$false,
inference(rat,[],[s226,s630,s632]) ).
fof(f13480,plain,
$false,
inference(avatar_sat_refutation,[],[s648]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW207+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n007.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 13:16:17 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 2.87/0.77 % (2388060)Will run a generic schedule for satisfiability detection.
% 2.87/0.77 % (2388069)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2881112855:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.87/0.77 % (2388066)% WARNING: option uhcvi not known.
% 2.87/0.77 % (2388065)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3511586280_2999 on theBenchmark for (2999ds/0Mi)
% 2.87/0.77 % (2388066)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3259338490:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.87/0.77 % (2388067)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2000305770:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.87/0.77 % (2388068)dis+10_1_sil=32000:sp=arity:random_seed=301028889:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.87/0.77 % (2388070)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1098506388:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.87/0.77 % (2388071)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1009156558:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.87/0.77 % (2388069)Instruction limit reached!
% 2.87/0.77 % (2388069)------------------------------
% 2.87/0.77 % (2388069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.77 % (2388069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.77 % (2388069)CaDiCaL version: 2.1.3
% 2.87/0.77 % (2388069)Termination reason: Instruction limit
% 2.87/0.77 % (2388069)Termination phase: Property scanning
% 2.87/0.77 % (2388069)Time elapsed: 0.032 s
% 2.87/0.77 % (2388069)Peak memory usage: 14 MB
% 2.87/0.77 % (2388069)Instructions burned: 126 (million)
% 2.87/0.77 % (2388079)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3776045305:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.87/0.77 % (2388068)Instruction limit reached!
% 2.87/0.77 % (2388068)------------------------------
% 2.87/0.77 % (2388068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.77 % (2388068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.77 % (2388068)CaDiCaL version: 2.1.3
% 2.87/0.77 % (2388068)Termination reason: Instruction limit
% 2.87/0.77 % (2388068)Termination phase: Saturation
% 2.87/0.77 % (2388068)Time elapsed: 0.047 s
% 2.87/0.77 % (2388068)Peak memory usage: 13 MB
% 2.87/0.77 % (2388068)Instructions burned: 104 (million)
% 2.87/0.77 % (2388070)Instruction limit reached!
% 2.87/0.77 % (2388070)------------------------------
% 2.87/0.77 % (2388070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.77 % (2388070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.77 % (2388070)CaDiCaL version: 2.1.3
% 2.87/0.77 % (2388070)Termination reason: Instruction limit
% 2.87/0.77 % (2388070)Termination phase: Saturation
% 2.87/0.77 % (2388070)Time elapsed: 0.064 s
% 2.87/0.77 % (2388070)Peak memory usage: 14 MB
% 2.87/0.77 % (2388070)Instructions burned: 131 (million)
% 2.87/0.77 % (2388081)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1193970730:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.87/0.77 % (2388082)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=382011713:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.87/0.77 % (2388071)Instruction limit reached!
% 2.87/0.77 % (2388071)------------------------------
% 2.87/0.77 % (2388071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.77 % (2388071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.77 % (2388071)CaDiCaL version: 2.1.3
% 2.87/0.77 % (2388071)Termination reason: Instruction limit
% 2.87/0.77 % (2388071)Termination phase: Saturation
% 2.87/0.77 % (2388071)Time elapsed: 0.088 s
% 2.87/0.77 % (2388071)Peak memory usage: 15 MB
% 2.87/0.77 % (2388071)Instructions burned: 160 (million)
% 2.87/0.77 % (2388085)ott-21_1_sil=16000:fs=off:random_seed=1294000600:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.87/0.77 % (2388081)Instruction limit reached!
% 2.87/0.77 % (2388081)------------------------------
% 2.87/0.77 % (2388081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.77 % (2388081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.77 % (2388081)CaDiCaL version: 2.1.3
% 2.87/0.77 % (2388081)Termination reason: Instruction limit
% 2.87/0.77 % (2388081)Termination phase: Saturation
% 2.87/0.77 % (2388081)Time elapsed: 0.059 s
% 2.87/0.77 % (2388081)Peak memory usage: 14 MB
% 2.87/0.77 % (2388081)Instructions burned: 132 (million)
% 2.87/0.77 % (2388087)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4196177340:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.87/0.77 % (2388085)Instruction limit reached!
% 2.87/0.77 % (2388085)------------------------------
% 2.87/0.77 % (2388085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.77 % (2388085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.77 % (2388085)CaDiCaL version: 2.1.3
% 2.87/0.77 % (2388085)Termination reason: Instruction limit
% 2.87/0.77 % (2388085)Termination phase: Saturation
% 2.87/0.77 % (2388085)Time elapsed: 0.087 s
% 2.87/0.77 % (2388085)Peak memory usage: 14 MB
% 2.87/0.77 % (2388085)Instructions burned: 180 (million)
% 2.87/0.77 % (2388089)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3009739000:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.87/0.77 % (2388079)Instruction limit reached!
% 2.87/0.77 % (2388079)------------------------------
% 2.87/0.77 % (2388079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.77 % (2388079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.77 % (2388079)CaDiCaL version: 2.1.3
% 2.87/0.77 % (2388079)Termination reason: Instruction limit
% 2.87/0.77 % (2388079)Termination phase: Finite model building preprocessing
% 2.87/0.77 % (2388079)Time elapsed: 0.186 s
% 2.87/0.77 % (2388079)Peak memory usage: 22 MB
% 2.87/0.77 % (2388079)Instructions burned: 717 (million)
% 2.87/0.77 % (2388091)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2468966438:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 2.87/0.77 % (2388087)Instruction limit reached!
% 2.87/0.77 % (2388087)------------------------------
% 2.87/0.77 % (2388087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.77 % (2388087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.77 % (2388087)CaDiCaL version: 2.1.3
% 2.87/0.77 % (2388087)Termination reason: Instruction limit
% 2.87/0.77 % (2388087)Termination phase: Saturation
% 2.87/0.77 % (2388087)Time elapsed: 0.278 s
% 2.87/0.77 % (2388087)Peak memory usage: 16 MB
% 2.87/0.77 % (2388087)Instructions burned: 479 (million)
% 2.87/0.77 % (2388093)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=693283113:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 2.87/0.77 % (2388082) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2388060-2388082"...
% 2.87/0.77 % (2388082)...printing done.
% 2.87/0.77 % (2388082)Refutation found. Thanks to Tanya!
% 2.87/0.77 % SZS status Theorem for theBenchmark
% 2.87/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 2.87/0.77 % (2388082)------------------------------
% 2.87/0.77 % (2388082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.77 % (2388082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.77 % (2388082)CaDiCaL version: 2.1.3
% 2.87/0.77 % (2388082)Termination reason: Refutation
% 2.87/0.77 % (2388082)Time elapsed: 0.368 s
% 2.87/0.77 % (2388082)Peak memory usage: 19 MB
% 2.87/0.77 % (2388082)Instructions burned: 584 (million)
% 2.87/0.77 % (2388060)Success in time 0.547 s
% 2.87/0.77 % Vampire exiting
%------------------------------------------------------------------------------