%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW265+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : 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 01:29:58 PM UTC 2026
% Result : Theorem 28.58s 4.80s
% Output : Refutation 29.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 26
% Syntax : Number of formulae : 116 ( 40 unt; 9 def)
% Number of atoms : 265 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 265 ( 116 ~; 122 |; 2 &)
% ( 13 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 18 ( 16 usr; 10 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 107 ( 0 sgn 107 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0))
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__le__cancel__iff2) ).
fof(f38,axiom,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__linear) ).
fof(f40,axiom,
! [X0,X1,X2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__assoc) ).
fof(f41,axiom,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__commute) ).
fof(f60,axiom,
! [X0,X1,X2] :
( class_Rings_Olinordered__semidom(X2)
=> ( c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X1)
=> c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__power) ).
fof(f156,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Oordered__semiring(X3)
=> ( c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
=> ( c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X0)
=> c_Orderings_Oord__class_Oless__eq(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left__mono) ).
fof(f159,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Oordered__ring(X3)
=> ( c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
=> ( c_Orderings_Oord__class_Oless__eq(X3,X0,c_Groups_Ozero__class_Ozero(X3))
=> c_Orderings_Oord__class_Oless__eq(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mult__left__mono__neg) ).
fof(f469,axiom,
! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_complex__mod__minus__le__complex__mod) ).
fof(f645,axiom,
! [X0,X1] :
( class_Groups_Olinordered__ab__group__add(X1)
=> ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X0),X0)
<=> c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__le__self__iff) ).
fof(f850,axiom,
! [X0,X1,X2] :
( class_Orderings_Olinorder(X2)
=> ( ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
=> c_Orderings_Oord__class_Oless(X2,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__leE) ).
fof(f1127,axiom,
class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Olinordered__ab__group__add) ).
fof(f1142,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_Rings_Oordered__semiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Oordered__semiring) ).
fof(f1159,axiom,
class_Rings_Oordered__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Oordered__ring) ).
fof(f1161,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Olinorder) ).
fof(f1289,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),v_m____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f1290,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))),v_m____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
fof(f1291,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))),v_m____)),
inference(negated_conjecture,[status(cth)],[f1290]) ).
fof(f1294,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))),v_m____)),
inference(flattening,[],[f1291]) ).
fof(f1308,plain,
! [X0,X1,X2] :
( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0))
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f1347,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0))
| ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X1)
| ~ class_Rings_Olinordered__semidom(X2) ),
inference(ennf_transformation,[],[f60]) ).
fof(f1348,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0))
| ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X1)
| ~ class_Rings_Olinordered__semidom(X2) ),
inference(flattening,[],[f1347]) ).
fof(f1472,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X1))
| ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Rings_Oordered__semiring(X3) ),
inference(ennf_transformation,[],[f156]) ).
fof(f1473,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X1))
| ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Rings_Oordered__semiring(X3) ),
inference(flattening,[],[f1472]) ).
fof(f1478,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2))
| ~ c_Orderings_Oord__class_Oless__eq(X3,X0,c_Groups_Ozero__class_Ozero(X3))
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Rings_Oordered__ring(X3) ),
inference(ennf_transformation,[],[f159]) ).
fof(f1479,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2))
| ~ c_Orderings_Oord__class_Oless__eq(X3,X0,c_Groups_Ozero__class_Ozero(X3))
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Rings_Oordered__ring(X3) ),
inference(flattening,[],[f1478]) ).
fof(f1973,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X0),X0)
<=> c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0) )
| ~ class_Groups_Olinordered__ab__group__add(X1) ),
inference(ennf_transformation,[],[f645]) ).
fof(f2195,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless(X2,X0,X1)
| c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
| ~ class_Orderings_Olinorder(X2) ),
inference(ennf_transformation,[],[f850]) ).
fof(f2196,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless(X2,X0,X1)
| c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
| ~ class_Orderings_Olinorder(X2) ),
inference(flattening,[],[f2195]) ).
fof(f2420,plain,
! [X0,X1,X2] :
( ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
& ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0)) ) )
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
inference(nnf_transformation,[],[f1308]) ).
fof(f2634,plain,
! [X0,X1] :
( ( ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X0),X0)
| ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0) )
& ( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
| ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X0),X0) ) )
| ~ class_Groups_Olinordered__ab__group__add(X1) ),
inference(nnf_transformation,[],[f1973]) ).
fof(f2769,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
inference(cnf_transformation,[],[f2420]) ).
fof(f2792,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f2794,plain,
! [X2,X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)),
inference(cnf_transformation,[],[f40]) ).
fof(f2795,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),
inference(cnf_transformation,[],[f41]) ).
fof(f2823,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0))
| ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X1)
| ~ class_Rings_Olinordered__semidom(X2) ),
inference(cnf_transformation,[],[f1348]) ).
fof(f2945,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X1))
| ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Rings_Oordered__semiring(X3) ),
inference(cnf_transformation,[],[f1473]) ).
fof(f2948,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2))
| ~ c_Orderings_Oord__class_Oless__eq(X3,X0,c_Groups_Ozero__class_Ozero(X3))
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Rings_Oordered__ring(X3) ),
inference(cnf_transformation,[],[f1479]) ).
fof(f3391,plain,
! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),
inference(cnf_transformation,[],[f469]) ).
fof(f3631,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X0)
| ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X0),X0)
| ~ class_Groups_Olinordered__ab__group__add(X1) ),
inference(cnf_transformation,[],[f2634]) ).
fof(f3894,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless(X2,X0,X1)
| c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
| ~ class_Orderings_Olinorder(X2) ),
inference(cnf_transformation,[],[f2196]) ).
fof(f4226,plain,
class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1127]) ).
fof(f4241,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1142]) ).
fof(f4246,plain,
class_Rings_Oordered__semiring(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1147]) ).
fof(f4258,plain,
class_Rings_Oordered__ring(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1159]) ).
fof(f4260,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1161]) ).
fof(f4388,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),v_m____),
inference(cnf_transformation,[],[f1289]) ).
fof(f4389,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))),v_m____)),
inference(cnf_transformation,[],[f1294]) ).
fof(f4571,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)),v_m____))),
inference(forward_demodulation,[],[f4389,f2794]) ).
fof(f4573,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)))),
inference(forward_demodulation,[],[f4571,f2795]) ).
fof(f4574,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)))),
inference(forward_demodulation,[],[f4573,f2794]) ).
fof(f4576,definition,
( spl43_1
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)))) ),
introduced(definition,[new_symbols(definition,[spl43_1])],[avatar_definition]) ).
fof(f4578,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))))
| spl43_1 ),
inference(avatar_component_clause,[],[f4576]) ).
fof(f4579,plain,
~ spl43_1,
inference(avatar_split_clause,[],[f4574,f4576]) ).
fof(f4592,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))))
| ~ class_Rings_Oordered__ring(tc_RealDef_Oreal)
| spl43_1 ),
inference(resolution,[],[f4578,f2948]) ).
fof(f4594,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)))
| ~ class_Rings_Oordered__semiring(tc_RealDef_Oreal)
| spl43_1 ),
inference(resolution,[],[f4578,f2945]) ).
fof(f4704,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)))
| spl43_1 ),
inference(forward_subsumption_resolution,[],[f4594,f4246]) ).
fof(f4706,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))))
| spl43_1 ),
inference(forward_subsumption_resolution,[],[f4592,f4258]) ).
fof(f4724,definition,
( spl43_2
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),v_m____) ),
introduced(definition,[new_symbols(definition,[spl43_2])],[avatar_definition]) ).
fof(f4726,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),v_m____)
| ~ spl43_2 ),
inference(avatar_component_clause,[],[f4724]) ).
fof(f4727,plain,
spl43_2,
inference(avatar_split_clause,[],[f4388,f4724]) ).
fof(f4897,definition,
( spl43_3
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))))) ),
introduced(definition,[new_symbols(definition,[spl43_3])],[avatar_definition]) ).
fof(f4899,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))))
| spl43_3 ),
inference(avatar_component_clause,[],[f4897]) ).
fof(f4901,definition,
( spl43_4
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
introduced(definition,[new_symbols(definition,[spl43_4])],[avatar_definition]) ).
fof(f4903,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| spl43_4 ),
inference(avatar_component_clause,[],[f4901]) ).
fof(f4904,plain,
( ~ spl43_3
| ~ spl43_4
| spl43_1 ),
inference(avatar_split_clause,[],[f4706,f4576,f4901,f4897]) ).
fof(f4909,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)))
| spl43_3 ),
inference(resolution,[],[f4899,f2792]) ).
fof(f5013,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| spl43_1
| spl43_3 ),
inference(backward_subsumption_resolution,[],[f4704,f4909]) ).
fof(f5024,definition,
( spl43_5
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)) ),
introduced(definition,[new_symbols(definition,[spl43_5])],[avatar_definition]) ).
fof(f5025,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| ~ spl43_5 ),
inference(avatar_component_clause,[],[f5024]) ).
fof(f5026,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| spl43_5 ),
inference(avatar_component_clause,[],[f5024]) ).
fof(f5027,plain,
( ~ spl43_5
| spl43_1
| spl43_3 ),
inference(avatar_split_clause,[],[f5013,f4897,f4576,f5024]) ).
fof(f5049,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| ~ class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal)
| spl43_5 ),
inference(resolution,[],[f5026,f3631]) ).
fof(f5248,plain,
( ~ class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal)
| spl43_5 ),
inference(forward_subsumption_resolution,[],[f5049,f3391]) ).
fof(f5282,plain,
( $false
| spl43_5 ),
inference(forward_subsumption_resolution,[],[f5248,f4226]) ).
fof(f5283,plain,
spl43_5,
inference(avatar_contradiction_clause,[],[f5282]) ).
fof(f5292,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)))
| spl43_1
| ~ spl43_5 ),
inference(forward_subsumption_resolution,[],[f4704,f5025]) ).
fof(f5351,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| ~ class_Orderings_Olinorder(tc_RealDef_Oreal)
| spl43_4 ),
inference(resolution,[],[f4903,f3894]) ).
fof(f5493,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| spl43_4 ),
inference(forward_subsumption_resolution,[],[f5351,f4260]) ).
fof(f7035,definition,
( spl43_13
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))) ),
introduced(definition,[new_symbols(definition,[spl43_13])],[avatar_definition]) ).
fof(f7037,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)))
| spl43_13 ),
inference(avatar_component_clause,[],[f7035]) ).
fof(f7038,plain,
( ~ spl43_13
| spl43_1
| ~ spl43_5 ),
inference(avatar_split_clause,[],[f5292,f5024,f4576,f7035]) ).
fof(f30317,definition,
( spl43_111
<=> ! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ) ),
introduced(definition,[new_symbols(definition,[spl43_111])],[avatar_definition]) ).
fof(f30318,plain,
( ! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) )
| ~ spl43_111 ),
inference(avatar_component_clause,[],[f30317]) ).
fof(f30319,plain,
spl43_111,
inference(avatar_split_clause,[],[f2769,f30317]) ).
fof(f30465,plain,
( ! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) )
| ~ spl43_111 ),
inference(superposition,[],[f30318,f2795]) ).
fof(f33830,definition,
( spl43_128
<=> ! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ) ),
introduced(definition,[new_symbols(definition,[spl43_128])],[avatar_definition]) ).
fof(f33831,plain,
( ! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) )
| ~ spl43_128 ),
inference(avatar_component_clause,[],[f33830]) ).
fof(f33832,plain,
( spl43_128
| ~ spl43_111 ),
inference(avatar_split_clause,[],[f30465,f30317,f33830]) ).
fof(f34254,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),v_m____)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))
| spl43_13
| ~ spl43_128 ),
inference(resolution,[],[f33831,f7037]) ).
fof(f34581,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))
| ~ spl43_2
| spl43_13
| ~ spl43_128 ),
inference(forward_subsumption_resolution,[],[f34254,f4726]) ).
fof(f34649,definition,
( spl43_129
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____)) ),
introduced(definition,[new_symbols(definition,[spl43_129])],[avatar_definition]) ).
fof(f34651,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))
| spl43_129 ),
inference(avatar_component_clause,[],[f34649]) ).
fof(f34652,plain,
( ~ spl43_129
| ~ spl43_2
| spl43_13
| ~ spl43_128 ),
inference(avatar_split_clause,[],[f34581,f33830,f7035,f4724,f34649]) ).
fof(f34653,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| ~ class_Rings_Olinordered__semidom(tc_RealDef_Oreal)
| spl43_129 ),
inference(resolution,[],[f34651,f2823]) ).
fof(f34869,plain,
( ~ class_Rings_Olinordered__semidom(tc_RealDef_Oreal)
| spl43_4
| spl43_129 ),
inference(forward_subsumption_resolution,[],[f34653,f5493]) ).
fof(f34915,plain,
( $false
| spl43_4
| spl43_129 ),
inference(forward_subsumption_resolution,[],[f34869,f4241]) ).
fof(f34916,plain,
( spl43_4
| spl43_129 ),
inference(avatar_contradiction_clause,[],[f34915]) ).
cnf(s1,plain,
~ spl43_1,
inference(sat_conversion,[],[f4579]) ).
cnf(s2,plain,
spl43_2,
inference(sat_conversion,[],[f4727]) ).
cnf(s3,plain,
( spl43_1
| ~ spl43_3
| ~ spl43_4 ),
inference(sat_conversion,[],[f4904]) ).
cnf(s4,plain,
( spl43_1
| spl43_3
| ~ spl43_5 ),
inference(sat_conversion,[],[f5027]) ).
cnf(s6,plain,
spl43_5,
inference(sat_conversion,[],[f5283]) ).
cnf(s13,plain,
( spl43_1
| ~ spl43_5
| ~ spl43_13 ),
inference(sat_conversion,[],[f7038]) ).
cnf(s639,plain,
spl43_111,
inference(sat_conversion,[],[f30319]) ).
cnf(s656,plain,
( ~ spl43_111
| spl43_128 ),
inference(sat_conversion,[],[f33832]) ).
cnf(s657,plain,
( ~ spl43_2
| spl43_13
| ~ spl43_128
| ~ spl43_129 ),
inference(sat_conversion,[],[f34652]) ).
cnf(s658,plain,
( spl43_4
| spl43_129 ),
inference(sat_conversion,[],[f34916]) ).
cnf(s660,plain,
spl43_128,
inference(rat,[],[s656,s639]) ).
cnf(s679,plain,
( spl43_1
| spl43_3 ),
inference(rat,[],[s4,s6]) ).
cnf(s715,plain,
~ spl43_13,
inference(rat,[],[s13,s6,s1]) ).
cnf(s716,plain,
spl43_3,
inference(rat,[],[s679,s1]) ).
cnf(s717,plain,
~ spl43_129,
inference(rat,[],[s657,s2,s660,s715]) ).
cnf(s721,plain,
~ spl43_4,
inference(rat,[],[s3,s1,s716]) ).
cnf(s722,plain,
$false,
inference(rat,[],[s658,s717,s721]) ).
fof(f34938,plain,
$false,
inference(avatar_sat_refutation,[],[s722]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW265+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n001.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 13:31:33 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.10/2.66 % (352820)Detected formulas, will run a generic FOF schedule.
% 13.10/2.66 % (352826)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=842700341:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.10/2.66 % (352829)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3643186647:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.10/2.66 % (352825)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=628820255:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.10/2.66 % (352831)dis-21_1_sil=8000:lcm=predicate:random_seed=251539537:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 13.10/2.66 % (352828)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3282800349:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.10/2.66 % (352827)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1730379272:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.10/2.66 % (352830)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2965355068:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.10/2.66 % (352828)Instruction limit reached!
% 13.10/2.66 % (352828)------------------------------
% 13.10/2.66 % (352828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.10/2.66 % (352828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.66 % (352828)CaDiCaL version: 2.1.3
% 13.10/2.66 % (352828)Termination reason: Instruction limit
% 13.10/2.66 % (352828)Termination phase: Saturation
% 13.10/2.66 % (352828)Time elapsed: 0.058 s
% 13.10/2.66 % (352828)Peak memory usage: 90 MB
% 13.10/2.66 % (352828)Instructions burned: 111 (million)
% 13.10/2.66 % (352829)Instruction limit reached!
% 13.10/2.66 % (352829)------------------------------
% 13.10/2.66 % (352829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.10/2.66 % (352829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.66 % (352829)CaDiCaL version: 2.1.3
% 13.10/2.66 % (352829)Termination reason: Instruction limit
% 13.10/2.66 % (352829)Termination phase: Saturation
% 13.10/2.66 % (352829)Time elapsed: 0.067 s
% 13.10/2.66 % (352829)Peak memory usage: 89 MB
% 13.10/2.66 % (352829)Instructions burned: 119 (million)
% 13.10/2.66 % (352831)Instruction limit reached!
% 13.10/2.66 % (352831)------------------------------
% 13.10/2.66 % (352831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.10/2.66 % (352831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.66 % (352831)CaDiCaL version: 2.1.3
% 13.10/2.66 % (352831)Termination reason: Instruction limit
% 13.10/2.66 % (352831)Termination phase: Saturation
% 13.10/2.66 % (352831)Time elapsed: 0.068 s
% 13.10/2.66 % (352831)Peak memory usage: 91 MB
% 13.10/2.66 % (352831)Instructions burned: 130 (million)
% 13.10/2.66 % (352830)Instruction limit reached!
% 13.10/2.66 % (352830)------------------------------
% 13.10/2.66 % (352830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.10/2.66 % (352830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.66 % (352830)CaDiCaL version: 2.1.3
% 13.10/2.66 % (352830)Termination reason: Instruction limit
% 13.10/2.66 % (352830)Termination phase: Saturation
% 13.10/2.66 % (352830)Time elapsed: 0.077 s
% 13.10/2.66 % (352830)Peak memory usage: 91 MB
% 13.10/2.66 % (352830)Instructions burned: 139 (million)
% 13.10/2.66 % (352840)lrs+10_1_sil=32000:urr=on:br=off:random_seed=72110044:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.10/2.66 % (352839)lrs+10_1_sil=8000:sp=occurrence:random_seed=3818481646:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.10/2.66 % (352841)lrs+1011_1_sil=32000:sp=occurrence:random_seed=91925534:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.10/2.66 % (352842)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1658290395:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 13.10/2.66 % (352840)Instruction limit reached!
% 13.10/2.66 % (352840)------------------------------
% 13.10/2.66 % (352840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.13/4.51 % (352840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.13/4.51 % (352840)CaDiCaL version: 2.1.3
% 27.13/4.51 % (352840)Termination reason: Instruction limit
% 27.13/4.51 % (352840)Termination phase: Saturation
% 27.13/4.51 % (352840)Time elapsed: 0.075 s
% 27.13/4.51 % (352840)Peak memory usage: 91 MB
% 27.13/4.51 % (352840)Instructions burned: 157 (million)
% 27.13/4.51 % (352842)Instruction limit reached!
% 27.13/4.51 % (352842)------------------------------
% 27.13/4.51 % (352842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.13/4.51 % (352842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.13/4.51 % (352842)CaDiCaL version: 2.1.3
% 27.13/4.51 % (352842)Termination reason: Instruction limit
% 27.13/4.51 % (352842)Termination phase: Saturation
% 27.13/4.51 % (352842)Time elapsed: 0.135 s
% 27.13/4.51 % (352842)Peak memory usage: 92 MB
% 27.13/4.51 % (352842)Instructions burned: 249 (million)
% 27.13/4.51 % (352839)Instruction limit reached!
% 27.13/4.51 % (352839)------------------------------
% 27.13/4.51 % (352839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.13/4.51 % (352839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.13/4.51 % (352839)CaDiCaL version: 2.1.3
% 27.13/4.51 % (352839)Termination reason: Instruction limit
% 27.13/4.51 % (352839)Termination phase: Saturation
% 27.13/4.51 % (352839)Time elapsed: 0.178 s
% 27.13/4.51 % (352839)Peak memory usage: 92 MB
% 27.13/4.51 % (352839)Instructions burned: 287 (million)
% 27.13/4.51 % (352847)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4058871479:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 27.13/4.51 % (352841)Instruction limit reached!
% 27.13/4.51 % (352841)------------------------------
% 27.13/4.51 % (352841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.13/4.51 % (352841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.13/4.51 % (352841)CaDiCaL version: 2.1.3
% 27.13/4.51 % (352841)Termination reason: Instruction limit
% 27.13/4.51 % (352841)Termination phase: Saturation
% 27.13/4.51 % (352841)Time elapsed: 0.192 s
% 27.13/4.51 % (352841)Peak memory usage: 92 MB
% 27.13/4.51 % (352841)Instructions burned: 325 (million)
% 27.13/4.51 % (352848)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=365867076:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 27.13/4.51 % (352849)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1479328339:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 27.13/4.51 % (352851)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2043954766:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 27.13/4.51 % (352847)Instruction limit reached!
% 27.13/4.51 % (352847)------------------------------
% 27.13/4.51 % (352847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.13/4.51 % (352847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.13/4.51 % (352847)CaDiCaL version: 2.1.3
% 27.13/4.51 % (352847)Termination reason: Instruction limit
% 27.13/4.51 % (352847)Termination phase: Saturation
% 27.13/4.51 % (352847)Time elapsed: 0.153 s
% 27.13/4.51 % (352847)Peak memory usage: 91 MB
% 27.13/4.51 % (352847)Instructions burned: 295 (million)
% 27.13/4.51 % (352849)Instruction limit reached!
% 27.13/4.51 % (352849)------------------------------
% 27.13/4.51 % (352849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.13/4.51 % (352849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.13/4.51 % (352849)CaDiCaL version: 2.1.3
% 27.13/4.51 % (352849)Termination reason: Instruction limit
% 27.13/4.51 % (352849)Termination phase: Saturation
% 27.13/4.51 % (352849)Time elapsed: 0.062 s
% 27.13/4.51 % (352849)Peak memory usage: 91 MB
% 27.13/4.51 % (352849)Instructions burned: 114 (million)
% 27.13/4.51 % (352851)Instruction limit reached!
% 27.13/4.51 % (352851)------------------------------
% 27.13/4.51 % (352851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.13/4.51 % (352851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.13/4.51 % (352851)CaDiCaL version: 2.1.3
% 27.13/4.51 % (352851)Termination reason: Instruction limit
% 27.13/4.51 % (352851)Termination phase: Saturation
% 27.13/4.51 % (352851)Time elapsed: 0.061 s
% 27.13/4.51 % (352851)Peak memory usage: 90 MB
% 27.13/4.51 % (352851)Instructions burned: 129 (million)
% 28.58/4.79 % (352855)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=692517873:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 28.58/4.79 % (352856)lrs+10_1_sil=8000:sp=occurrence:random_seed=1786700586:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 28.58/4.79 % (352857)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2950132563:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 28.58/4.79 % (352855)Instruction limit reached!
% 28.58/4.79 % (352855)------------------------------
% 28.58/4.79 % (352855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.58/4.79 % (352855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.58/4.79 % (352855)CaDiCaL version: 2.1.3
% 28.58/4.79 % (352855)Termination reason: Instruction limit
% 28.58/4.79 % (352855)Termination phase: Saturation
% 28.58/4.79 % (352855)Time elapsed: 0.058 s
% 28.58/4.79 % (352855)Peak memory usage: 90 MB
% 28.58/4.79 % (352855)Instructions burned: 115 (million)
% 28.58/4.79 % (352861)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3065884437:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 28.58/4.79 % (352857)Instruction limit reached!
% 28.58/4.79 % (352857)------------------------------
% 28.58/4.79 % (352857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.58/4.79 % (352857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.58/4.79 % (352857)CaDiCaL version: 2.1.3
% 28.58/4.79 % (352857)Termination reason: Instruction limit
% 28.58/4.79 % (352857)Termination phase: Saturation
% 28.58/4.79 % (352857)Time elapsed: 0.219 s
% 28.58/4.79 % (352857)Peak memory usage: 93 MB
% 28.58/4.79 % (352857)Instructions burned: 438 (million)
% 28.58/4.79 % (352863)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1925435936:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 28.58/4.79 % (352863)Instruction limit reached!
% 28.58/4.79 % (352863)------------------------------
% 28.58/4.79 % (352863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.58/4.79 % (352863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.58/4.79 % (352863)CaDiCaL version: 2.1.3
% 28.58/4.79 % (352863)Termination reason: Instruction limit
% 28.58/4.79 % (352863)Termination phase: Saturation
% 28.58/4.79 % (352863)Time elapsed: 0.071 s
% 28.58/4.79 % (352863)Peak memory usage: 92 MB
% 28.58/4.79 % (352863)Instructions burned: 134 (million)
% 28.58/4.79 % (352856)Instruction limit reached!
% 28.58/4.79 % (352856)------------------------------
% 28.58/4.79 % (352856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.58/4.79 % (352856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.58/4.79 % (352856)CaDiCaL version: 2.1.3
% 28.58/4.79 % (352856)Termination reason: Instruction limit
% 28.58/4.79 % (352856)Termination phase: Saturation
% 28.58/4.79 % (352856)Time elapsed: 0.542 s
% 28.58/4.79 % (352856)Peak memory usage: 97 MB
% 28.58/4.79 % (352856)Instructions burned: 908 (million)
% 28.58/4.79 % (352865)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1341082643:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 28.58/4.79 % (352866)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1146010562:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 28.58/4.79 % (352865)Instruction limit reached!
% 28.58/4.79 % (352865)------------------------------
% 28.58/4.79 % (352865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.58/4.79 % (352865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.58/4.79 % (352865)CaDiCaL version: 2.1.3
% 28.58/4.79 % (352865)Termination reason: Instruction limit
% 28.58/4.79 % (352865)Termination phase: Saturation
% 28.58/4.79 % (352865)Time elapsed: 0.318 s
% 28.58/4.79 % (352865)Peak memory usage: 94 MB
% 28.58/4.79 % (352865)Instructions burned: 593 (million)
% 28.58/4.79 % (352869)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3477070541:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 28.58/4.79 % (352869)Instruction limit reached!
% 28.58/4.79 % (352869)------------------------------
% 28.58/4.79 % (352869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.58/4.79 % (352869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.58/4.79 % (352869)CaDiCaL version: 2.1.3
% 28.58/4.79 % (352869)Termination reason: Instruction limit
% 28.58/4.79 % (352869)Termination phase: Saturation
% 28.58/4.79 % (352869)Time elapsed: 0.066 s
% 28.58/4.79 % (352869)Peak memory usage: 91 MB
% 28.58/4.79 % (352869)Instructions burned: 127 (million)
% 28.58/4.79 % (352871)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=162510280:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 28.58/4.79 % (352848)Instruction limit reached!
% 28.58/4.79 % (352848)------------------------------
% 28.58/4.79 % (352848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.58/4.79 % (352848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.58/4.79 % (352848)CaDiCaL version: 2.1.3
% 28.58/4.79 % (352848)Termination reason: Instruction limit
% 28.58/4.79 % (352848)Termination phase: Saturation
% 28.58/4.79 % (352848)Time elapsed: 1.484 s
% 28.58/4.79 % (352848)Peak memory usage: 149 MB
% 28.58/4.79 % (352848)Instructions burned: 2351 (million)
% 28.58/4.79 % (352871)Instruction limit reached!
% 28.58/4.79 % (352871)------------------------------
% 28.58/4.79 % (352871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.58/4.79 % (352871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.58/4.79 % (352871)CaDiCaL version: 2.1.3
% 28.58/4.79 % (352871)Termination reason: Instruction limit
% 28.58/4.79 % (352871)Termination phase: Saturation
% 28.58/4.79 % (352871)Time elapsed: 0.065 s
% 28.58/4.79 % (352871)Peak memory usage: 90 MB
% 28.58/4.79 % (352871)Instructions burned: 134 (million)
% 28.58/4.79 % (352873)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=307964678:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 28.58/4.79 % (352874)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3670841354:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 28.58/4.79 % (352873)Instruction limit reached!
% 28.58/4.79 % (352873)------------------------------
% 28.58/4.79 % (352873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.58/4.79 % (352873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.58/4.79 % (352873)CaDiCaL version: 2.1.3
% 28.58/4.79 % (352873)Termination reason: Instruction limit
% 28.58/4.79 % (352873)Termination phase: Saturation
% 28.58/4.79 % (352873)Time elapsed: 0.067 s
% 28.58/4.79 % (352873)Peak memory usage: 90 MB
% 28.58/4.79 % (352873)Instructions burned: 142 (million)
% 28.58/4.79 % (352877)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2995448084:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 28.58/4.79 % (352874)Instruction limit reached!
% 28.58/4.79 % (352874)------------------------------
% 28.58/4.79 % (352874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.58/4.79 % (352874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.58/4.79 % (352874)CaDiCaL version: 2.1.3
% 28.58/4.79 % (352874)Termination reason: Instruction limit
% 28.58/4.79 % (352874)Termination phase: Saturation
% 28.58/4.79 % (352874)Time elapsed: 0.201 s
% 28.58/4.79 % (352874)Peak memory usage: 91 MB
% 28.58/4.79 % (352874)Instructions burned: 432 (million)
% 28.58/4.79 % (352879)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=954304425:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 28.58/4.79 % (352879)Instruction limit reached!
% 28.58/4.79 % (352879)------------------------------
% 28.58/4.79 % (352879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.58/4.79 % (352879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.58/4.79 % (352879)CaDiCaL version: 2.1.3
% 28.58/4.79 % (352879)Termination reason: Instruction limit
% 28.58/4.79 % (352879)Termination phase: Saturation
% 28.58/4.79 % (352879)Time elapsed: 0.080 s
% 28.58/4.79 % (352879)Peak memory usage: 91 MB
% 28.58/4.79 % (352879)Instructions burned: 150 (million)
% 28.58/4.79 % (352881)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3873166185:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 28.58/4.79 % (352827)First to succeed.
% 28.58/4.80 % (352827)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-352820"
% 28.58/4.80 % (352827)Refutation found. Thanks to Tanya!
% 28.58/4.80 % SZS status Theorem for theBenchmark
% 28.58/4.80 % SZS output start Proof for theBenchmark
% See solution above
% 29.37/4.99 % (352827)------------------------------
% 29.37/4.99 % (352827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.37/4.99 % (352827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.37/4.99 % (352827)CaDiCaL version: 2.1.3
% 29.37/4.99 % (352827)Termination reason: Refutation
% 29.37/4.99 % (352827)Time elapsed: 3.641 s
% 29.37/4.99 % (352827)Peak memory usage: 170 MB
% 29.37/4.99 % (352827)Instructions burned: 6188 (million)
% 29.37/4.99 % (352827)------------------------------
% 29.37/4.99 % (352827)------------------------------
% 29.37/4.99 % (352820)Success in time 4.109 s
% 29.37/4.99 % Vampire exiting
%------------------------------------------------------------------------------