%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW254+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:29:57 PM UTC 2026
% Result : Theorem 23.78s 4.11s
% Output : Refutation 24.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 69 ( 16 unt; 3 def)
% Number of atoms : 169 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 180 ( 80 ~; 80 |; 3 &)
% ( 10 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 54 ( 0 sgn 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( class_RealVector_Oreal__normed__vector(X1)
=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
<=> X0 != c_Groups_Ozero__class_Ozero(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__less__norm__iff) ).
fof(f40,axiom,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pc0) ).
fof(f42,axiom,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pqc0) ).
fof(f330,axiom,
! [X0,X1,X2,X3] :
( class_Fields_Olinordered__field(X3)
=> ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
=> ( c_Orderings_Oord__class_Oless(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2))
=> c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__imp__div__pos__less) ).
fof(f331,axiom,
! [X0,X1,X2,X3] :
( class_Fields_Olinordered__field(X3)
=> ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
=> ( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
<=> c_Orderings_Oord__class_Oless(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pos__divide__less__eq) ).
fof(f427,axiom,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__1) ).
fof(f1126,axiom,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Olinordered__field) ).
fof(f1164,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f1245,conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1246,negated_conjecture,
~ ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) ),
inference(negated_conjecture,[status(cth)],[f1245]) ).
fof(f1262,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
<~> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) ),
inference(ennf_transformation,[],[f1246]) ).
fof(f1363,plain,
! [X0,X1,X2,X3] :
( ( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
<=> c_Orderings_Oord__class_Oless(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2)) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(ennf_transformation,[],[f331]) ).
fof(f1364,plain,
! [X0,X1,X2,X3] :
( ( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
<=> c_Orderings_Oord__class_Oless(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2)) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(flattening,[],[f1363]) ).
fof(f1365,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
| ~ c_Orderings_Oord__class_Oless(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2))
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(ennf_transformation,[],[f330]) ).
fof(f1366,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
| ~ c_Orderings_Oord__class_Oless(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2))
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(flattening,[],[f1365]) ).
fof(f1427,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
<=> X0 != c_Groups_Ozero__class_Ozero(X1) )
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f2101,plain,
( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )
& ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ),
inference(nnf_transformation,[],[f1262]) ).
fof(f2167,plain,
! [X0,X1,X2,X3] :
( ( ( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
| ~ c_Orderings_Oord__class_Oless(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2)) )
& ( c_Orderings_Oord__class_Oless(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2))
| ~ c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0) ) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(nnf_transformation,[],[f1364]) ).
fof(f2180,plain,
! [X0,X1] :
( ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
| c_Groups_Ozero__class_Ozero(X1) = X0 )
& ( X0 != c_Groups_Ozero__class_Ozero(X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0)) ) )
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(nnf_transformation,[],[f1427]) ).
fof(f2300,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
inference(cnf_transformation,[],[f2101]) ).
fof(f2301,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
inference(cnf_transformation,[],[f2101]) ).
fof(f2399,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____),
inference(cnf_transformation,[],[f42]) ).
fof(f2511,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Oord__class_Oless(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2))
| ~ c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(cnf_transformation,[],[f2167]) ).
fof(f2513,plain,
! [X2,X3,X0,X1] :
( ~ c_Orderings_Oord__class_Oless(X3,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X2))
| c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X2),X0)
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(cnf_transformation,[],[f1366]) ).
fof(f2570,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
| c_Groups_Ozero__class_Ozero(X1) = X0
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(cnf_transformation,[],[f2180]) ).
fof(f2579,plain,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0) = X0,
inference(cnf_transformation,[],[f427]) ).
fof(f3009,plain,
c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____),
inference(cnf_transformation,[],[f40]) ).
fof(f3129,plain,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1126]) ).
fof(f3152,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1164]) ).
fof(f3460,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
inference(forward_demodulation,[],[f2300,f2399]) ).
fof(f3461,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
inference(forward_demodulation,[],[f2301,f2399]) ).
fof(f3466,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))) ),
inference(forward_demodulation,[],[f3460,f2399]) ).
fof(f3467,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))) ),
inference(forward_demodulation,[],[f3461,f2399]) ).
fof(f3470,definition,
( spl24_3
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))) ),
introduced(definition,[new_symbols(definition,[spl24_3])],[avatar_definition]) ).
fof(f3471,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))
| spl24_3 ),
inference(avatar_component_clause,[],[f3470]) ).
fof(f3472,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))
| ~ spl24_3 ),
inference(avatar_component_clause,[],[f3470]) ).
fof(f3474,definition,
( spl24_4
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
introduced(definition,[new_symbols(definition,[spl24_4])],[avatar_definition]) ).
fof(f3475,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| spl24_4 ),
inference(avatar_component_clause,[],[f3474]) ).
fof(f3476,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ spl24_4 ),
inference(avatar_component_clause,[],[f3474]) ).
fof(f3477,plain,
( spl24_3
| spl24_4 ),
inference(avatar_split_clause,[],[f3466,f3474,f3470]) ).
fof(f3478,plain,
( ~ spl24_3
| ~ spl24_4 ),
inference(avatar_split_clause,[],[f3467,f3474,f3470]) ).
fof(f4014,definition,
( spl24_21
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))) ),
introduced(definition,[new_symbols(definition,[spl24_21])],[avatar_definition]) ).
fof(f4015,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,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))
| ~ spl24_21 ),
inference(avatar_component_clause,[],[f4014]) ).
fof(f4016,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,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))
| spl24_21 ),
inference(avatar_component_clause,[],[f4014]) ).
fof(f5007,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
| ~ class_Fields_Olinordered__field(tc_RealDef_Oreal) ),
inference(superposition,[],[f2511,f2579]) ).
fof(f5008,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
| ~ class_Fields_Olinordered__field(tc_RealDef_Oreal) ),
inference(superposition,[],[f2513,f2579]) ).
fof(f5033,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
inference(forward_subsumption_resolution,[],[f5008,f3129]) ).
fof(f5034,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
inference(forward_subsumption_resolution,[],[f5007,f3129]) ).
fof(f5186,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))
| ~ spl24_4 ),
inference(resolution,[],[f5034,f3476]) ).
fof(f6035,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| spl24_21 ),
inference(resolution,[],[f4016,f2570]) ).
fof(f6036,plain,
( ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| spl24_21 ),
inference(forward_subsumption_resolution,[],[f6035,f3009]) ).
fof(f6038,plain,
( $false
| spl24_21 ),
inference(forward_subsumption_resolution,[],[f6036,f3152]) ).
fof(f6039,plain,
spl24_21,
inference(avatar_contradiction_clause,[],[f6038]) ).
fof(f6044,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,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))
| spl24_3
| ~ spl24_4 ),
inference(forward_subsumption_resolution,[],[f5186,f3471]) ).
fof(f6050,plain,
( $false
| spl24_3
| ~ spl24_4
| ~ spl24_21 ),
inference(forward_subsumption_resolution,[],[f6044,f4015]) ).
fof(f6051,plain,
( spl24_3
| ~ spl24_4
| ~ spl24_21 ),
inference(avatar_contradiction_clause,[],[f6050]) ).
fof(f6060,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))
| spl24_4 ),
inference(resolution,[],[f3475,f5033]) ).
fof(f6065,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,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))
| ~ spl24_3
| spl24_4 ),
inference(forward_subsumption_resolution,[],[f6060,f3472]) ).
fof(f6066,plain,
( $false
| ~ spl24_3
| spl24_4
| ~ spl24_21 ),
inference(forward_subsumption_resolution,[],[f6065,f4015]) ).
fof(f6067,plain,
( ~ spl24_3
| spl24_4
| ~ spl24_21 ),
inference(avatar_contradiction_clause,[],[f6066]) ).
cnf(s3,plain,
( spl24_3
| spl24_4 ),
inference(sat_conversion,[],[f3477]) ).
cnf(s4,plain,
( ~ spl24_3
| ~ spl24_4 ),
inference(sat_conversion,[],[f3478]) ).
cnf(s47,plain,
spl24_21,
inference(sat_conversion,[],[f6039]) ).
cnf(s49,plain,
( spl24_3
| ~ spl24_4
| ~ spl24_21 ),
inference(sat_conversion,[],[f6051]) ).
cnf(s51,plain,
( ~ spl24_3
| spl24_4
| ~ spl24_21 ),
inference(sat_conversion,[],[f6067]) ).
cnf(s53,plain,
spl24_3,
inference(rat,[],[s3,s49,s47]) ).
cnf(s54,plain,
spl24_4,
inference(rat,[],[s51,s47,s53]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s4,s54,s53]) ).
fof(f6068,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW254+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n006.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 13:24:55 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.07/3.15 % (3963253)Detected formulas, will run a generic FOF schedule.
% 17.07/3.15 % (3963354)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3538000170:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 17.07/3.15 % (3963355)dis-21_1_sil=8000:lcm=predicate:random_seed=3910615157: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)
% 17.07/3.15 % (3963350)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=72716325:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 17.07/3.15 % (3963349)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=748281418:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 17.07/3.15 % (3963351)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=3300745747:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 17.07/3.15 % (3963352)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=634531044:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 17.07/3.15 % (3963354)Instruction limit reached!
% 17.07/3.15 % (3963354)------------------------------
% 17.07/3.15 % (3963354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.07/3.15 % (3963354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/3.15 % (3963354)CaDiCaL version: 2.1.3
% 17.07/3.15 % (3963354)Termination reason: Instruction limit
% 17.07/3.15 % (3963354)Termination phase: Saturation
% 17.07/3.15 % (3963354)Time elapsed: 0.042 s
% 17.07/3.15 % (3963354)Peak memory usage: 91 MB
% 17.07/3.15 % (3963354)Instructions burned: 139 (million)
% 17.07/3.15 % (3963353)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=734594166:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 17.07/3.15 % (3963355)Instruction limit reached!
% 17.07/3.15 % (3963355)------------------------------
% 17.07/3.15 % (3963355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.07/3.15 % (3963355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/3.15 % (3963355)CaDiCaL version: 2.1.3
% 17.07/3.15 % (3963355)Termination reason: Instruction limit
% 17.07/3.15 % (3963355)Termination phase: Saturation
% 17.07/3.15 % (3963355)Time elapsed: 0.069 s
% 17.07/3.15 % (3963355)Peak memory usage: 91 MB
% 17.07/3.15 % (3963355)Instructions burned: 129 (million)
% 17.07/3.15 % (3963352)Instruction limit reached!
% 17.07/3.15 % (3963352)------------------------------
% 17.07/3.15 % (3963352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.07/3.15 % (3963352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/3.15 % (3963352)CaDiCaL version: 2.1.3
% 17.07/3.15 % (3963352)Termination reason: Instruction limit
% 17.07/3.15 % (3963352)Termination phase: Saturation
% 17.07/3.15 % (3963352)Time elapsed: 0.105 s
% 17.07/3.15 % (3963352)Peak memory usage: 90 MB
% 17.07/3.15 % (3963352)Instructions burned: 113 (million)
% 17.07/3.15 % (3963353)Instruction limit reached!
% 17.07/3.15 % (3963353)------------------------------
% 17.07/3.15 % (3963353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.07/3.15 % (3963353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/3.15 % (3963353)CaDiCaL version: 2.1.3
% 17.07/3.15 % (3963353)Termination reason: Instruction limit
% 17.07/3.15 % (3963353)Termination phase: Saturation
% 17.07/3.15 % (3963353)Time elapsed: 0.071 s
% 17.07/3.15 % (3963353)Peak memory usage: 89 MB
% 17.07/3.15 % (3963353)Instructions burned: 120 (million)
% 17.07/3.15 % (3963362)lrs+10_1_sil=8000:sp=occurrence:random_seed=1845859520:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 17.07/3.15 % (3963362)Instruction limit reached!
% 17.07/3.15 % (3963362)------------------------------
% 17.07/3.15 % (3963362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.07/3.15 % (3963362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/3.15 % (3963362)CaDiCaL version: 2.1.3
% 17.07/3.15 % (3963362)Termination reason: Instruction limit
% 17.07/3.15 % (3963362)Termination phase: Saturation
% 17.07/3.15 % (3963362)Time elapsed: 0.092 s
% 17.07/3.15 % (3963362)Peak memory usage: 91 MB
% 17.07/3.15 % (3963362)Instructions burned: 286 (million)
% 23.78/4.11 % (3963364)lrs+10_1_sil=32000:urr=on:br=off:random_seed=977853235:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 23.78/4.11 % (3963365)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2672505639:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 23.78/4.11 % (3963364)Instruction limit reached!
% 23.78/4.11 % (3963364)------------------------------
% 23.78/4.11 % (3963364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.78/4.11 % (3963364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.78/4.11 % (3963364)CaDiCaL version: 2.1.3
% 23.78/4.11 % (3963364)Termination reason: Instruction limit
% 23.78/4.11 % (3963364)Termination phase: Saturation
% 23.78/4.11 % (3963364)Time elapsed: 0.112 s
% 23.78/4.11 % (3963364)Peak memory usage: 91 MB
% 23.78/4.11 % (3963364)Instructions burned: 157 (million)
% 23.78/4.11 % (3963366)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=3740668436:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 23.78/4.11 % (3963370)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4082734947:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 23.78/4.11 % (3963366)Instruction limit reached!
% 23.78/4.11 % (3963366)------------------------------
% 23.78/4.11 % (3963366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.78/4.11 % (3963366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.78/4.11 % (3963366)CaDiCaL version: 2.1.3
% 23.78/4.11 % (3963366)Termination reason: Instruction limit
% 23.78/4.11 % (3963366)Termination phase: Saturation
% 23.78/4.11 % (3963366)Time elapsed: 0.184 s
% 23.78/4.11 % (3963366)Peak memory usage: 92 MB
% 23.78/4.11 % (3963366)Instructions burned: 248 (million)
% 23.78/4.11 % (3963370)Instruction limit reached!
% 23.78/4.11 % (3963370)------------------------------
% 23.78/4.11 % (3963370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.78/4.11 % (3963370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.78/4.11 % (3963370)CaDiCaL version: 2.1.3
% 23.78/4.11 % (3963370)Termination reason: Instruction limit
% 23.78/4.11 % (3963370)Termination phase: Saturation
% 23.78/4.11 % (3963370)Time elapsed: 0.148 s
% 23.78/4.11 % (3963370)Peak memory usage: 91 MB
% 23.78/4.11 % (3963370)Instructions burned: 295 (million)
% 23.78/4.11 % (3963365)Instruction limit reached!
% 23.78/4.11 % (3963365)------------------------------
% 23.78/4.11 % (3963365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.78/4.11 % (3963365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.78/4.11 % (3963365)CaDiCaL version: 2.1.3
% 23.78/4.11 % (3963365)Termination reason: Instruction limit
% 23.78/4.11 % (3963365)Termination phase: Saturation
% 23.78/4.11 % (3963365)Time elapsed: 0.300 s
% 23.78/4.11 % (3963365)Peak memory usage: 92 MB
% 23.78/4.11 % (3963365)Instructions burned: 325 (million)
% 23.78/4.11 % (3963380)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3870981954:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 23.78/4.11 % (3963389)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2595971360:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 23.78/4.11 % (3963390)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3447329874:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 23.78/4.11 % (3963391)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=301416068:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 23.78/4.11 % (3963391)Instruction limit reached!
% 23.78/4.11 % (3963391)------------------------------
% 23.78/4.11 % (3963391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.78/4.11 % (3963391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.78/4.11 % (3963391)CaDiCaL version: 2.1.3
% 23.78/4.11 % (3963391)Termination reason: Instruction limit
% 23.78/4.11 % (3963391)Termination phase: Saturation
% 23.78/4.11 % (3963391)Time elapsed: 0.055 s
% 23.78/4.11 % (3963391)Peak memory usage: 90 MB
% 23.78/4.11 % (3963391)Instructions burned: 116 (million)
% 23.78/4.11 % (3963389)Instruction limit reached!
% 23.78/4.11 % (3963389)------------------------------
% 23.78/4.11 % (3963389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.78/4.11 % (3963389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.78/4.11 % (3963389)CaDiCaL version: 2.1.3
% 23.78/4.11 % (3963389)Termination reason: Instruction limit
% 23.78/4.11 % (3963389)Termination phase: Saturation
% 23.78/4.11 % (3963389)Time elapsed: 0.109 s
% 23.78/4.11 % (3963389)Peak memory usage: 91 MB
% 23.78/4.11 % (3963389)Instructions burned: 113 (million)
% 23.78/4.11 % (3963390)Instruction limit reached!
% 23.78/4.11 % (3963390)------------------------------
% 23.78/4.11 % (3963390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.78/4.11 % (3963390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.78/4.11 % (3963390)CaDiCaL version: 2.1.3
% 23.78/4.11 % (3963390)Termination reason: Instruction limit
% 23.78/4.11 % (3963390)Termination phase: Saturation
% 23.78/4.11 % (3963390)Time elapsed: 0.131 s
% 23.78/4.11 % (3963390)Peak memory usage: 90 MB
% 23.78/4.11 % (3963390)Instructions burned: 128 (million)
% 23.78/4.11 % (3963402)lrs+10_1_sil=8000:sp=occurrence:random_seed=834316759:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 23.78/4.11 % (3963404)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3653143545:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 23.78/4.11 % (3963405)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3954483642:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 23.78/4.11 % (3963404)Instruction limit reached!
% 23.78/4.11 % (3963404)------------------------------
% 23.78/4.11 % (3963404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.78/4.11 % (3963404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.78/4.11 % (3963404)CaDiCaL version: 2.1.3
% 23.78/4.11 % (3963404)Termination reason: Instruction limit
% 23.78/4.11 % (3963404)Termination phase: Saturation
% 23.78/4.11 % (3963404)Time elapsed: 0.379 s
% 23.78/4.11 % (3963404)Peak memory usage: 94 MB
% 23.78/4.11 % (3963404)Instructions burned: 438 (million)
% 23.78/4.11 % (3963402)Instruction limit reached!
% 23.78/4.11 % (3963402)------------------------------
% 23.78/4.11 % (3963402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.78/4.11 % (3963402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.78/4.11 % (3963402)CaDiCaL version: 2.1.3
% 23.78/4.11 % (3963402)Termination reason: Instruction limit
% 23.78/4.11 % (3963402)Termination phase: Saturation
% 23.78/4.11 % (3963402)Time elapsed: 0.444 s
% 23.78/4.11 % (3963402)Peak memory usage: 95 MB
% 23.78/4.11 % (3963402)Instructions burned: 908 (million)
% 23.78/4.11 % (3963420)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=469634160:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 23.78/4.11 % (3963419)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1057815841:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 23.78/4.11 % (3963419)Instruction limit reached!
% 23.78/4.11 % (3963419)------------------------------
% 23.78/4.11 % (3963419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.78/4.11 % (3963419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.78/4.11 % (3963419)CaDiCaL version: 2.1.3
% 23.78/4.11 % (3963419)Termination reason: Instruction limit
% 23.78/4.11 % (3963419)Termination phase: Saturation
% 23.78/4.11 % (3963419)Time elapsed: 0.112 s
% 23.78/4.11 % (3963419)Peak memory usage: 92 MB
% 23.78/4.11 % (3963419)Instructions burned: 134 (million)
% 23.78/4.11 % (3963420)Instruction limit reached!
% 23.78/4.11 % (3963420)------------------------------
% 23.78/4.11 % (3963420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.78/4.11 % (3963420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.78/4.11 % (3963420)CaDiCaL version: 2.1.3
% 23.78/4.11 % (3963420)Termination reason: Instruction limit
% 23.78/4.11 % (3963420)Termination phase: Saturation
% 23.78/4.11 % (3963420)Time elapsed: 0.293 s
% 23.78/4.11 % (3963420)Peak memory usage: 94 MB
% 23.78/4.11 % (3963420)Instructions burned: 593 (million)
% 23.78/4.11 % (3963428)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=839020859:st=3:i=13193:sd=3:ss=axioms_2979 on theBenchmark for (2979ds/13193Mi)
% 23.78/4.11 % (3963431)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=1439416150:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/125Mi)
% 23.78/4.11 % (3963431)Instruction limit reached!
% 23.78/4.11 % (3963431)------------------------------
% 23.78/4.11 % (3963431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.78/4.11 % (3963431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.78/4.11 % (3963431)CaDiCaL version: 2.1.3
% 23.78/4.11 % (3963431)Termination reason: Instruction limit
% 23.78/4.11 % (3963431)Termination phase: Saturation
% 23.78/4.11 % (3963431)Time elapsed: 0.129 s
% 23.78/4.11 % (3963431)Peak memory usage: 91 MB
% 23.78/4.11 % (3963431)Instructions burned: 125 (million)
% 23.78/4.11 % (3963436)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=84969190:i=134:gtgl=5:slsql=off:gtg=exists_sym_2973 on theBenchmark for (2973ds/134Mi)
% 23.78/4.11 % (3963436)Instruction limit reached!
% 23.78/4.11 % (3963436)------------------------------
% 23.78/4.11 % (3963436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.78/4.11 % (3963436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.78/4.11 % (3963436)CaDiCaL version: 2.1.3
% 23.78/4.11 % (3963436)Termination reason: Instruction limit
% 23.78/4.11 % (3963436)Termination phase: Saturation
% 23.78/4.11 % (3963436)Time elapsed: 0.117 s
% 23.78/4.11 % (3963436)Peak memory usage: 91 MB
% 23.78/4.11 % (3963436)Instructions burned: 134 (million)
% 23.78/4.11 % (3963380)Instruction limit reached!
% 23.78/4.11 % (3963380)------------------------------
% 23.78/4.11 % (3963380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.78/4.11 % (3963380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.78/4.11 % (3963380)CaDiCaL version: 2.1.3
% 23.78/4.11 % (3963380)Termination reason: Instruction limit
% 23.78/4.11 % (3963380)Termination phase: Saturation
% 23.78/4.11 % (3963380)Time elapsed: 2.334 s
% 23.78/4.11 % (3963380)Peak memory usage: 144 MB
% 23.78/4.11 % (3963380)Instructions burned: 2350 (million)
% 23.78/4.11 % (3963428)First to succeed.
% 23.78/4.11 % (3963428)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3963253"
% 23.78/4.11 % (3963442)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3223809524:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/141Mi)
% 23.78/4.11 % (3963442)Instruction limit reached!
% 23.78/4.11 % (3963442)------------------------------
% 23.78/4.11 % (3963442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.78/4.11 % (3963442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.78/4.11 % (3963442)CaDiCaL version: 2.1.3
% 23.78/4.11 % (3963442)Termination reason: Instruction limit
% 23.78/4.11 % (3963442)Termination phase: Saturation
% 23.78/4.11 % (3963442)Time elapsed: 0.075 s
% 23.78/4.11 % (3963442)Peak memory usage: 90 MB
% 23.78/4.11 % (3963442)Instructions burned: 142 (million)
% 23.78/4.11 % (3963444)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=85476707:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2968 on theBenchmark for (2968ds/431Mi)
% 23.78/4.11 % (3963428)Refutation found. Thanks to Tanya!
% 23.78/4.11 % SZS status Theorem for theBenchmark
% 23.78/4.11 % SZS output start Proof for theBenchmark
% See solution above
% 24.43/4.21 % (3963428)------------------------------
% 24.43/4.21 % (3963428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.43/4.21 % (3963428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.43/4.21 % (3963428)CaDiCaL version: 2.1.3
% 24.43/4.21 % (3963428)Termination reason: Refutation
% 24.43/4.21 % (3963428)Time elapsed: 0.957 s
% 24.43/4.21 % (3963428)Peak memory usage: 142 MB
% 24.43/4.21 % (3963428)Instructions burned: 1825 (million)
% 24.43/4.21 % (3963428)------------------------------
% 24.43/4.21 % (3963428)------------------------------
% 24.43/4.21 % (3963253)Success in time 3.434 s
% 24.43/4.21 % Vampire exiting
%------------------------------------------------------------------------------