%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW192+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 : n014.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 01:29:48 PM UTC 2026
% Result : Theorem 23.95s 4.09s
% Output : Refutation 24.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 39
% Syntax : Number of formulae : 160 ( 130 unt; 12 def)
% Number of atoms : 197 ( 162 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 72 ( 35 ~; 30 |; 1 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 34 ( 34 usr; 21 con; 0-3 aty)
% Number of variables : 102 ( 102 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_assms) ).
fof(f3,axiom,
v_z = c_Complex_Ocomplex_OComplex(v_x____,v_y____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_z) ).
fof(f16,axiom,
! [X0] : c_Int_OBit1(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Bit1__def) ).
fof(f20,axiom,
! [X0,X1,X2] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zadd__assoc) ).
fof(f21,axiom,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__Pls__right) ).
fof(f22,axiom,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__Pls) ).
fof(f24,axiom,
! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Bit0__def) ).
fof(f25,axiom,
c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_one__is__num__one) ).
fof(f28,axiom,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__1__add__1) ).
fof(f53,axiom,
! [X0,X1] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X0)) = c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__norm) ).
fof(f57,axiom,
! [X0] : c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_number__of__is__id) ).
fof(f83,axiom,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),X0) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zadd__zminus__inverse2) ).
fof(f100,axiom,
! [X0,X1] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zminus__zadd__distrib) ).
fof(f106,axiom,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Pls__def) ).
fof(f122,axiom,
! [X0,X1] :
( class_Int_Onumber__ring(X1)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit1(c_Int_OPls))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__numeral__1__right) ).
fof(f145,axiom,
! [X0,X1] :
( class_Rings_Ocomm__semiring__1(X1)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).
fof(f152,axiom,
! [X0] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zminus__zminus) ).
fof(f177,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(f186,axiom,
! [X0,X1] :
( c_NthRoot_Osqrt(X1) = c_NthRoot_Osqrt(X0)
<=> X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__sqrt__eq__iff) ).
fof(f344,axiom,
! [X0] :
( class_Rings_Olinordered__semidom(X0)
=> c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__le__one) ).
fof(f392,axiom,
! [X0,X1] :
( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = X0
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
=> c_NthRoot_Osqrt(X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__sqrt__unique) ).
fof(f632,axiom,
c_Int_OBit1(c_Int_OMin) = c_Int_OMin,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Bit1__Min) ).
fof(f798,axiom,
c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin) = c_Int_OBit1(c_Int_OPls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_minus__Min) ).
fof(f1118,axiom,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semidom) ).
fof(f1128,axiom,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).
fof(f1145,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Int_Onumber__ring) ).
fof(f1231,conjecture,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_y____),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1232,negated_conjecture,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_y____),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(negated_conjecture,[status(cth)],[f1231]) ).
fof(f1233,plain,
c_Groups_Oone__class_Oone(tc_RealDef_Oreal) != c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_y____),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
inference(flattening,[],[f1232]) ).
fof(f1303,plain,
! [X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit1(c_Int_OPls))) = X0
| ~ class_Int_Onumber__ring(X1) ),
inference(ennf_transformation,[],[f122]) ).
fof(f1319,plain,
! [X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(ennf_transformation,[],[f145]) ).
fof(f1511,plain,
! [X0] :
( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
| ~ class_Rings_Olinordered__semidom(X0) ),
inference(ennf_transformation,[],[f344]) ).
fof(f1557,plain,
! [X0,X1] :
( c_NthRoot_Osqrt(X0) = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
| hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != X0 ),
inference(ennf_transformation,[],[f392]) ).
fof(f1558,plain,
! [X0,X1] :
( c_NthRoot_Osqrt(X0) = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
| hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != X0 ),
inference(flattening,[],[f1557]) ).
fof(f2264,plain,
! [X0,X1] :
( ( c_NthRoot_Osqrt(X1) = c_NthRoot_Osqrt(X0)
| X0 != X1 )
& ( X1 = X0
| c_NthRoot_Osqrt(X0) != c_NthRoot_Osqrt(X1) ) ),
inference(nnf_transformation,[],[f186]) ).
fof(f2668,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f2]) ).
fof(f2669,plain,
v_z = c_Complex_Ocomplex_OComplex(v_x____,v_y____),
inference(cnf_transformation,[],[f3]) ).
fof(f2684,plain,
! [X0] : c_Int_OBit1(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),
inference(cnf_transformation,[],[f16]) ).
fof(f2688,plain,
! [X2,X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X0),
inference(cnf_transformation,[],[f20]) ).
fof(f2689,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0,
inference(cnf_transformation,[],[f21]) ).
fof(f2690,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0) = X0,
inference(cnf_transformation,[],[f22]) ).
fof(f2692,plain,
! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
inference(cnf_transformation,[],[f24]) ).
fof(f2693,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Int_OBit1(c_Int_OPls)),
inference(cnf_transformation,[],[f25]) ).
fof(f2696,plain,
c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(cnf_transformation,[],[f28]) ).
fof(f2729,plain,
! [X0,X1] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X0)) = c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
inference(cnf_transformation,[],[f53]) ).
fof(f2733,plain,
! [X0] : c_Int_Onumber__class_Onumber__of(tc_Int_Oint,X0) = X0,
inference(cnf_transformation,[],[f57]) ).
fof(f2766,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),X0),
inference(cnf_transformation,[],[f83]) ).
fof(f2786,plain,
! [X0,X1] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0)),
inference(cnf_transformation,[],[f100]) ).
fof(f2793,plain,
c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(cnf_transformation,[],[f106]) ).
fof(f2811,plain,
! [X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),c_Int_Onumber__class_Onumber__of(X1,c_Int_OBit1(c_Int_OPls))) = X0
| ~ class_Int_Onumber__ring(X1) ),
inference(cnf_transformation,[],[f1303]) ).
fof(f2839,plain,
! [X0,X1] :
( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(cnf_transformation,[],[f1319]) ).
fof(f2849,plain,
! [X0] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0)) = X0,
inference(cnf_transformation,[],[f152]) ).
fof(f2876,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,[],[f177]) ).
fof(f2890,plain,
! [X0,X1] :
( c_NthRoot_Osqrt(X0) != c_NthRoot_Osqrt(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f2264]) ).
fof(f3121,plain,
! [X0] :
( c_Orderings_Oord__class_Oless__eq(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oone__class_Oone(X0))
| ~ class_Rings_Olinordered__semidom(X0) ),
inference(cnf_transformation,[],[f1511]) ).
fof(f3186,plain,
! [X0,X1] :
( c_NthRoot_Osqrt(X0) = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
| hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != X0 ),
inference(cnf_transformation,[],[f1558]) ).
fof(f3534,plain,
c_Int_OMin = c_Int_OBit1(c_Int_OMin),
inference(cnf_transformation,[],[f632]) ).
fof(f3783,plain,
c_Int_OBit1(c_Int_OPls) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin),
inference(cnf_transformation,[],[f798]) ).
fof(f4345,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1118]) ).
fof(f4355,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1128]) ).
fof(f4372,plain,
class_Int_Onumber__ring(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1145]) ).
fof(f4458,plain,
c_Groups_Oone__class_Oone(tc_RealDef_Oreal) != c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_y____),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
inference(cnf_transformation,[],[f1233]) ).
fof(f4472,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)),
inference(definition_unfolding,[],[f2693,f2684]) ).
fof(f4475,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),
inference(definition_unfolding,[],[f2696,f2692,f2684]) ).
fof(f4496,plain,
! [X0,X1] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X0)) = c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
inference(definition_unfolding,[],[f2729,f2692,f2684,f2692,f2684]) ).
fof(f4501,plain,
! [X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))) = X0
| ~ class_Int_Onumber__ring(X1) ),
inference(definition_unfolding,[],[f2811,f2684]) ).
fof(f4525,plain,
! [X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(definition_unfolding,[],[f2839,f2692,f2684]) ).
fof(f4553,plain,
! [X0,X1] :
( c_NthRoot_Osqrt(X0) = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
| hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))) != X0 ),
inference(definition_unfolding,[],[f3186,f2692,f2684]) ).
fof(f4695,plain,
c_Int_OMin = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OMin),c_Int_OMin),
inference(definition_unfolding,[],[f3534,f2684]) ).
fof(f4763,plain,
c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),
inference(definition_unfolding,[],[f3783,f2684]) ).
fof(f4812,plain,
c_Groups_Oone__class_Oone(tc_RealDef_Oreal) != c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_x____),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_y____),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))),
inference(definition_unfolding,[],[f4458,f2692,f2684,f2692,f2684]) ).
fof(f4904,plain,
! [X1] :
( c_NthRoot_Osqrt(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
inference(equality_resolution,[],[f4553]) ).
fof(f5045,definition,
sF23 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f5046,plain,
c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = sF23,
inference(reorient_equations,[],[f5045]) ).
fof(f5047,definition,
sF24 = c_Power_Opower__class_Opower(tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f5048,plain,
c_Power_Opower__class_Opower(tc_RealDef_Oreal) = sF24,
inference(reorient_equations,[],[f5047]) ).
fof(f5049,definition,
sF25 = hAPP(sF24,v_x____),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f5050,plain,
hAPP(sF24,v_x____) = sF25,
inference(reorient_equations,[],[f5049]) ).
fof(f5051,definition,
sF26 = c_Groups_Oone__class_Oone(tc_Int_Oint),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f5052,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) = sF26,
inference(reorient_equations,[],[f5051]) ).
fof(f5053,definition,
sF27 = c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF26,c_Int_OPls),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f5054,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF26,c_Int_OPls) = sF27,
inference(reorient_equations,[],[f5053]) ).
fof(f5055,definition,
sF28 = c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF27,c_Int_OPls),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f5056,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF27,c_Int_OPls) = sF28,
inference(reorient_equations,[],[f5055]) ).
fof(f5057,definition,
sF29 = c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF28,sF28),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f5058,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF28,sF28) = sF29,
inference(reorient_equations,[],[f5057]) ).
fof(f5059,definition,
sF30 = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,sF29),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
fof(f5060,plain,
c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,sF29) = sF30,
inference(reorient_equations,[],[f5059]) ).
fof(f5061,definition,
sF31 = hAPP(sF25,sF30),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
fof(f5062,plain,
hAPP(sF25,sF30) = sF31,
inference(reorient_equations,[],[f5061]) ).
fof(f5063,definition,
sF32 = hAPP(sF24,v_y____),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
fof(f5064,plain,
hAPP(sF24,v_y____) = sF32,
inference(reorient_equations,[],[f5063]) ).
fof(f5065,definition,
sF33 = hAPP(sF32,sF30),
introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).
fof(f5066,plain,
hAPP(sF32,sF30) = sF33,
inference(reorient_equations,[],[f5065]) ).
fof(f5067,definition,
sF34 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,sF31,sF33),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
fof(f5068,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,sF31,sF33) = sF34,
inference(reorient_equations,[],[f5067]) ).
fof(f5069,plain,
sF23 != sF34,
inference(definition_folding,[],[f4812,f5068,f5066,f5060,f5058,f5056,f5054,f5052,f5056,f5054,f5052,f5064,f5048,f5062,f5060,f5058,f5056,f5054,f5052,f5056,f5054,f5052,f5050,f5048,f5046]) ).
fof(f5143,plain,
! [X1] :
( c_NthRoot_Osqrt(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin))))) = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
inference(forward_demodulation,[],[f4904,f4763]) ).
fof(f5168,plain,
! [X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin))))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(forward_demodulation,[],[f4525,f4763]) ).
fof(f5189,plain,
! [X0,X1] :
( ~ class_Int_Onumber__ring(X1)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),c_Int_Onumber__class_Onumber__of(X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin))) = X0 ),
inference(forward_demodulation,[],[f4501,f4763]) ).
fof(f5192,plain,
! [X0] : c_Int_OPls = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),X0),
inference(forward_demodulation,[],[f2766,f2793]) ).
fof(f5194,plain,
! [X0,X1] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X0)) = c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin)))))),
inference(forward_demodulation,[],[f4496,f4763]) ).
fof(f5207,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin))),
inference(forward_demodulation,[],[f4475,f4763]) ).
fof(f5208,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),
inference(forward_demodulation,[],[f4472,f2733]) ).
fof(f5217,plain,
sF26 = sF27,
inference(forward_demodulation,[],[f5054,f2689]) ).
fof(f5218,plain,
sF27 = sF28,
inference(forward_demodulation,[],[f5056,f2689]) ).
fof(f5258,plain,
! [X1] :
( c_NthRoot_Osqrt(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OMin,c_Int_OMin))))) = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
inference(forward_demodulation,[],[f5143,f2786]) ).
fof(f5278,plain,
! [X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X1)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OMin,c_Int_OMin)))) ),
inference(forward_demodulation,[],[f5168,f2786]) ).
fof(f5300,plain,
! [X0,X1] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X0)) = c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OMin,c_Int_OMin)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OMin,c_Int_OMin)))))),
inference(forward_demodulation,[],[f5194,f2786]) ).
fof(f5310,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OMin,c_Int_OMin))),
inference(forward_demodulation,[],[f5207,f2786]) ).
fof(f5311,plain,
c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin),
inference(forward_demodulation,[],[f5208,f4763]) ).
fof(f5317,plain,
sF26 = sF28,
inference(forward_demodulation,[],[f5218,f5217]) ).
fof(f5337,plain,
! [X1] :
( c_NthRoot_Osqrt(hAPP(hAPP(sF24,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OMin,c_Int_OMin))))) = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
inference(forward_demodulation,[],[f5258,f5048]) ).
fof(f5351,plain,
! [X0,X1] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X0)) = c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(sF24,X1),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OMin,c_Int_OMin)))),hAPP(hAPP(sF24,X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OMin,c_Int_OMin)))))),
inference(forward_demodulation,[],[f5300,f5048]) ).
fof(f5352,plain,
c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin) = sF26,
inference(forward_demodulation,[],[f5311,f5052]) ).
fof(f5370,plain,
! [X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
| c_NthRoot_Osqrt(hAPP(hAPP(sF24,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = X1 ),
inference(forward_demodulation,[],[f5337,f5310]) ).
fof(f5384,plain,
! [X0,X1] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X0)) = c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(sF24,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(sF24,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
inference(forward_demodulation,[],[f5351,f5310]) ).
fof(f5385,plain,
c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin) = sF28,
inference(forward_demodulation,[],[f5352,f5317]) ).
fof(f5450,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF28,c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF28,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF29,X0),
inference(superposition,[],[f2688,f5058]) ).
fof(f5566,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(v_x____,X0)) = c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(sF25,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(sF24,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
inference(superposition,[],[f5384,f5050]) ).
fof(f5591,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(v_x____,v_y____)) = c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(sF25,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(sF32,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
inference(superposition,[],[f5566,f5064]) ).
fof(f5592,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z) = c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(sF25,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(sF32,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
inference(forward_demodulation,[],[f5591,f2669]) ).
fof(f5593,plain,
c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(sF25,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(sF32,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
inference(forward_demodulation,[],[f5592,f2668]) ).
fof(f5594,plain,
sF23 = c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(sF25,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(sF32,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
inference(forward_demodulation,[],[f5593,f5046]) ).
fof(f5913,plain,
c_Int_OPls = c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF28,c_Int_OMin),
inference(superposition,[],[f5192,f5385]) ).
fof(f5922,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X1) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1)),
inference(superposition,[],[f2688,f5192]) ).
fof(f5930,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X0),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1)) = X1,
inference(forward_demodulation,[],[f5922,f2690]) ).
fof(f5937,plain,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),sF23),X0) = X0,
inference(superposition,[],[f2876,f5046]) ).
fof(f7282,plain,
c_Int_OMin = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OMin,c_Int_OMin)),
inference(superposition,[],[f2688,f4695]) ).
fof(f7297,plain,
c_Int_OMin = c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF26,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OMin,c_Int_OMin)),
inference(forward_demodulation,[],[f7282,f5052]) ).
fof(f7312,plain,
c_Int_OMin = c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF28,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OMin,c_Int_OMin)),
inference(forward_demodulation,[],[f7297,f5317]) ).
fof(f7506,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF28,c_Int_OMin) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF29,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OMin,c_Int_OMin)),
inference(superposition,[],[f5450,f7312]) ).
fof(f7523,plain,
c_Int_OPls = c_Groups_Oplus__class_Oplus(tc_Int_Oint,sF29,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OMin,c_Int_OMin)),
inference(forward_demodulation,[],[f7506,f5913]) ).
fof(f11183,plain,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Int_OMin))) = X0,
inference(resolution,[],[f4372,f5189]) ).
fof(f11192,plain,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,sF28)) = X0,
inference(forward_demodulation,[],[f11183,f5385]) ).
fof(f11289,plain,
sF23 = c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,sF28),
inference(superposition,[],[f5937,f11192]) ).
fof(f11293,plain,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),sF23) = X0,
inference(superposition,[],[f11192,f11289]) ).
fof(f15418,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OMin,c_Int_OMin) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,sF29),c_Int_OPls),
inference(superposition,[],[f5930,f7523]) ).
fof(f15467,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OMin,c_Int_OMin) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,sF29),
inference(forward_demodulation,[],[f15418,f2689]) ).
fof(f24185,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,sF29))),
inference(superposition,[],[f5310,f15467]) ).
fof(f24186,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,sF29),
inference(forward_demodulation,[],[f24185,f2849]) ).
fof(f24187,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = sF30,
inference(forward_demodulation,[],[f24186,f5060]) ).
fof(f26179,plain,
( ~ class_Rings_Olinordered__semidom(tc_RealDef_Oreal)
| c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_NthRoot_Osqrt(hAPP(hAPP(sF24,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ),
inference(resolution,[],[f3121,f5370]) ).
fof(f26202,plain,
c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_NthRoot_Osqrt(hAPP(hAPP(sF24,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
inference(forward_subsumption_resolution,[],[f26179,f4345]) ).
fof(f26209,plain,
c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_NthRoot_Osqrt(hAPP(hAPP(sF24,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),sF30)),
inference(forward_demodulation,[],[f26202,f24187]) ).
fof(f26213,plain,
sF23 = c_NthRoot_Osqrt(hAPP(hAPP(sF24,sF23),sF30)),
inference(forward_demodulation,[],[f26209,f5046]) ).
fof(f35939,plain,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OMin,c_Int_OMin)))),
inference(resolution,[],[f4355,f5278]) ).
fof(f35942,plain,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
inference(forward_demodulation,[],[f35939,f5310]) ).
fof(f35952,plain,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),sF30),
inference(forward_demodulation,[],[f35942,f24187]) ).
fof(f35957,plain,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X0) = hAPP(hAPP(sF24,X0),sF30),
inference(forward_demodulation,[],[f35952,f5048]) ).
fof(f35973,plain,
sF23 = hAPP(hAPP(sF24,sF23),sF30),
inference(superposition,[],[f11293,f35957]) ).
fof(f36011,plain,
sF23 = c_NthRoot_Osqrt(sF23),
inference(superposition,[],[f26213,f35973]) ).
fof(f36025,plain,
! [X0] :
( c_NthRoot_Osqrt(X0) != sF23
| sF23 = X0 ),
inference(superposition,[],[f2890,f36011]) ).
fof(f38043,plain,
( sF23 != sF23
| sF23 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(sF25,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(sF32,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ),
inference(superposition,[],[f36025,f5594]) ).
fof(f38051,plain,
sF23 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(sF25,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(sF32,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
inference(trivial_inequality_removal,[],[f38043]) ).
fof(f38057,plain,
sF23 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(sF25,sF30),hAPP(sF32,sF30)),
inference(forward_demodulation,[],[f38051,f24187]) ).
fof(f38066,plain,
sF23 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(sF25,sF30),sF33),
inference(forward_demodulation,[],[f38057,f5066]) ).
fof(f38074,plain,
sF23 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,sF31,sF33),
inference(forward_demodulation,[],[f38066,f5062]) ).
fof(f38096,plain,
sF23 = sF34,
inference(forward_demodulation,[],[f38074,f5068]) ).
fof(f38098,plain,
$false,
inference(forward_subsumption_resolution,[],[f38096,f5069]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW192+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n014.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 13:13:16 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 14.00/2.78 % (1771001)Detected formulas, will run a generic FOF schedule.
% 14.00/2.78 % (1771009)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=591274907:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 14.00/2.78 % (1771009)Instruction limit reached!
% 14.00/2.78 % (1771009)------------------------------
% 14.00/2.78 % (1771009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/2.78 % (1771009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/2.78 % (1771009)CaDiCaL version: 2.1.3
% 14.00/2.78 % (1771009)Termination reason: Instruction limit
% 14.00/2.78 % (1771009)Termination phase: Saturation
% 14.00/2.78 % (1771009)Time elapsed: 0.034 s
% 14.00/2.78 % (1771009)Peak memory usage: 90 MB
% 14.00/2.78 % (1771009)Instructions burned: 110 (million)
% 14.00/2.78 % (1771011)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2624512929:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 14.00/2.78 % (1771007)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=936010695:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 14.00/2.78 % (1771012)dis-21_1_sil=8000:lcm=predicate:random_seed=153178157: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)
% 14.00/2.78 % (1771008)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=3656159225:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 14.00/2.78 % (1771010)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=657514065:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 14.00/2.78 % (1771006)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=3809616151:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 14.00/2.78 % (1771012)Instruction limit reached!
% 14.00/2.78 % (1771012)------------------------------
% 14.00/2.78 % (1771012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/2.78 % (1771012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/2.78 % (1771012)CaDiCaL version: 2.1.3
% 14.00/2.78 % (1771012)Termination reason: Instruction limit
% 14.00/2.78 % (1771012)Termination phase: Saturation
% 14.00/2.78 % (1771012)Time elapsed: 0.063 s
% 14.00/2.78 % (1771012)Peak memory usage: 90 MB
% 14.00/2.78 % (1771012)Instructions burned: 131 (million)
% 14.00/2.78 % (1771010)Instruction limit reached!
% 14.00/2.78 % (1771010)------------------------------
% 14.00/2.78 % (1771010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/2.78 % (1771010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/2.78 % (1771010)CaDiCaL version: 2.1.3
% 14.00/2.78 % (1771010)Termination reason: Instruction limit
% 14.00/2.78 % (1771010)Termination phase: Saturation
% 14.00/2.78 % (1771010)Time elapsed: 0.071 s
% 14.00/2.78 % (1771010)Peak memory usage: 89 MB
% 14.00/2.78 % (1771010)Instructions burned: 119 (million)
% 14.00/2.78 % (1771011)Instruction limit reached!
% 14.00/2.78 % (1771011)------------------------------
% 14.00/2.78 % (1771011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/2.78 % (1771011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/2.78 % (1771011)CaDiCaL version: 2.1.3
% 14.00/2.78 % (1771011)Termination reason: Instruction limit
% 14.00/2.78 % (1771011)Termination phase: Saturation
% 14.00/2.78 % (1771011)Time elapsed: 0.076 s
% 14.00/2.78 % (1771011)Peak memory usage: 91 MB
% 14.00/2.78 % (1771011)Instructions burned: 140 (million)
% 14.00/2.78 % (1771014)lrs+10_1_sil=8000:sp=occurrence:random_seed=66431273:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 14.00/2.78 % (1771014)Instruction limit reached!
% 14.00/2.78 % (1771014)------------------------------
% 14.00/2.78 % (1771014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/2.78 % (1771014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/2.78 % (1771014)CaDiCaL version: 2.1.3
% 14.00/2.78 % (1771014)Termination reason: Instruction limit
% 14.00/2.78 % (1771014)Termination phase: Saturation
% 14.00/2.78 % (1771014)Time elapsed: 0.097 s
% 14.00/2.78 % (1771014)Peak memory usage: 92 MB
% 14.00/2.78 % (1771014)Instructions burned: 287 (million)
% 18.96/3.42 % (1771022)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1458267822:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 18.96/3.42 % (1771023)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=1358004467:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 18.96/3.42 % (1771021)lrs+10_1_sil=32000:urr=on:br=off:random_seed=587434491:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 18.96/3.42 % (1771021)Instruction limit reached!
% 18.96/3.42 % (1771021)------------------------------
% 18.96/3.42 % (1771021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.96/3.42 % (1771021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/3.42 % (1771021)CaDiCaL version: 2.1.3
% 18.96/3.42 % (1771021)Termination reason: Instruction limit
% 18.96/3.42 % (1771021)Termination phase: Saturation
% 18.96/3.42 % (1771021)Time elapsed: 0.088 s
% 18.96/3.42 % (1771021)Peak memory usage: 90 MB
% 18.96/3.42 % (1771021)Instructions burned: 158 (million)
% 18.96/3.42 % (1771025)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1288249961:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.96/3.42 % (1771025)Refutation not found, incomplete strategy
% 18.96/3.42 % (1771025)------------------------------
% 18.96/3.42 % (1771025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.96/3.42 % (1771025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/3.42 % (1771025)CaDiCaL version: 2.1.3
% 18.96/3.42 % (1771025)Termination reason: Refutation not found, incomplete strategy
% 18.96/3.42 % (1771025)Time elapsed: 0.021 s
% 18.96/3.42 % (1771025)Peak memory usage: 90 MB
% 18.96/3.42 % (1771025)Instructions burned: 70 (million)
% 18.96/3.42 % (1771023)Instruction limit reached!
% 18.96/3.42 % (1771023)------------------------------
% 18.96/3.42 % (1771023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.96/3.42 % (1771023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/3.42 % (1771023)CaDiCaL version: 2.1.3
% 18.96/3.42 % (1771023)Termination reason: Instruction limit
% 18.96/3.42 % (1771023)Termination phase: Saturation
% 18.96/3.42 % (1771023)Time elapsed: 0.141 s
% 18.96/3.42 % (1771023)Peak memory usage: 91 MB
% 18.96/3.42 % (1771023)Instructions burned: 249 (million)
% 18.96/3.42 % (1771022)Instruction limit reached!
% 18.96/3.42 % (1771022)------------------------------
% 18.96/3.42 % (1771022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.96/3.42 % (1771022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/3.42 % (1771022)CaDiCaL version: 2.1.3
% 18.96/3.42 % (1771022)Termination reason: Instruction limit
% 18.96/3.42 % (1771022)Termination phase: Saturation
% 18.96/3.42 % (1771022)Time elapsed: 0.211 s
% 18.96/3.42 % (1771022)Peak memory usage: 92 MB
% 18.96/3.42 % (1771022)Instructions burned: 325 (million)
% 18.96/3.42 % (1771029)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=487169234:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 18.96/3.42 % (1771025)------------------------------
% 18.96/3.42 % (1771025)------------------------------
% 18.96/3.42 % (1771031)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3190892133:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 18.96/3.42 % (1771031)Instruction limit reached!
% 18.96/3.42 % (1771031)------------------------------
% 18.96/3.42 % (1771031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.96/3.42 % (1771031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/3.42 % (1771031)CaDiCaL version: 2.1.3
% 18.96/3.42 % (1771031)Termination reason: Instruction limit
% 18.96/3.42 % (1771031)Termination phase: Saturation
% 18.96/3.42 % (1771031)Time elapsed: 0.058 s
% 18.96/3.42 % (1771031)Peak memory usage: 90 MB
% 18.96/3.42 % (1771031)Instructions burned: 114 (million)
% 18.96/3.42 % (1771032)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3466241841:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 18.96/3.42 % (1771034)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=578944495:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 18.96/3.42 % (1771032)Instruction limit reached!
% 18.96/3.42 % (1771032)------------------------------
% 18.96/3.42 % (1771032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/4.09 % (1771032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/4.09 % (1771032)CaDiCaL version: 2.1.3
% 23.95/4.09 % (1771032)Termination reason: Instruction limit
% 23.95/4.09 % (1771032)Termination phase: Saturation
% 23.95/4.09 % (1771032)Time elapsed: 0.060 s
% 23.95/4.09 % (1771032)Peak memory usage: 90 MB
% 23.95/4.09 % (1771032)Instructions burned: 127 (million)
% 23.95/4.09 % (1771034)Instruction limit reached!
% 23.95/4.09 % (1771034)------------------------------
% 23.95/4.09 % (1771034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/4.09 % (1771034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/4.09 % (1771034)CaDiCaL version: 2.1.3
% 23.95/4.09 % (1771034)Termination reason: Instruction limit
% 23.95/4.09 % (1771034)Termination phase: Saturation
% 23.95/4.09 % (1771034)Time elapsed: 0.030 s
% 23.95/4.09 % (1771034)Peak memory usage: 90 MB
% 23.95/4.09 % (1771034)Instructions burned: 117 (million)
% 23.95/4.09 % (1771036)lrs+10_1_sil=8000:sp=occurrence:random_seed=2704234060:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 23.95/4.09 % (1771040)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1660855594:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 23.95/4.09 % (1771039)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1870694141:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 23.95/4.09 % (1771039)Refutation not found, incomplete strategy
% 23.95/4.09 % (1771039)------------------------------
% 23.95/4.09 % (1771039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/4.09 % (1771039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/4.09 % (1771039)CaDiCaL version: 2.1.3
% 23.95/4.09 % (1771039)Termination reason: Refutation not found, incomplete strategy
% 23.95/4.09 % (1771039)Time elapsed: 0.064 s
% 23.95/4.09 % (1771039)Peak memory usage: 91 MB
% 23.95/4.09 % (1771039)Instructions burned: 125 (million)
% 23.95/4.09 % (1771039)------------------------------
% 23.95/4.09 % (1771039)------------------------------
% 23.95/4.09 % (1771044)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=688955861:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 23.95/4.09 % (1771036)Instruction limit reached!
% 23.95/4.09 % (1771036)------------------------------
% 23.95/4.09 % (1771036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/4.09 % (1771036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/4.09 % (1771036)CaDiCaL version: 2.1.3
% 23.95/4.09 % (1771036)Termination reason: Instruction limit
% 23.95/4.09 % (1771036)Termination phase: Saturation
% 23.95/4.09 % (1771036)Time elapsed: 0.533 s
% 23.95/4.09 % (1771036)Peak memory usage: 96 MB
% 23.95/4.09 % (1771036)Instructions burned: 909 (million)
% 23.95/4.09 % (1771044)Instruction limit reached!
% 23.95/4.09 % (1771044)------------------------------
% 23.95/4.09 % (1771044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/4.09 % (1771044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/4.09 % (1771044)CaDiCaL version: 2.1.3
% 23.95/4.09 % (1771044)Termination reason: Instruction limit
% 23.95/4.09 % (1771044)Termination phase: Saturation
% 23.95/4.09 % (1771044)Time elapsed: 0.067 s
% 23.95/4.09 % (1771044)Peak memory usage: 92 MB
% 23.95/4.09 % (1771044)Instructions burned: 135 (million)
% 23.95/4.09 % (1771046)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2812570577:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 23.95/4.09 % (1771047)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3994412934:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 23.95/4.09 % (1771046)Instruction limit reached!
% 23.95/4.09 % (1771046)------------------------------
% 23.95/4.09 % (1771046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/4.09 % (1771046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/4.09 % (1771046)CaDiCaL version: 2.1.3
% 23.95/4.09 % (1771046)Termination reason: Instruction limit
% 23.95/4.09 % (1771046)Termination phase: Saturation
% 23.95/4.09 % (1771046)Time elapsed: 0.313 s
% 23.95/4.09 % (1771046)Peak memory usage: 98 MB
% 23.95/4.09 % (1771046)Instructions burned: 594 (million)
% 23.95/4.09 % (1771029)Instruction limit reached!
% 23.95/4.09 % (1771029)------------------------------
% 23.95/4.09 % (1771029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/4.09 % (1771029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/4.09 % (1771029)CaDiCaL version: 2.1.3
% 23.95/4.09 % (1771029)Termination reason: Instruction limit
% 23.95/4.09 % (1771029)Termination phase: Saturation
% 23.95/4.09 % (1771029)Time elapsed: 1.419 s
% 23.95/4.09 % (1771029)Peak memory usage: 148 MB
% 23.95/4.09 % (1771029)Instructions burned: 2350 (million)
% 23.95/4.09 % (1771050)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=3824612139:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 23.95/4.09 % (1771050)Instruction limit reached!
% 23.95/4.09 % (1771050)------------------------------
% 23.95/4.09 % (1771050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/4.09 % (1771050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/4.09 % (1771050)CaDiCaL version: 2.1.3
% 23.95/4.09 % (1771050)Termination reason: Instruction limit
% 23.95/4.09 % (1771050)Termination phase: Saturation
% 23.95/4.09 % (1771050)Time elapsed: 0.068 s
% 23.95/4.09 % (1771050)Peak memory usage: 91 MB
% 23.95/4.09 % (1771050)Instructions burned: 127 (million)
% 23.95/4.09 % (1771052)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=319226430:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 23.95/4.09 % (1771053)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1281436128:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 23.95/4.09 % (1771052)Instruction limit reached!
% 23.95/4.09 % (1771052)------------------------------
% 23.95/4.09 % (1771052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/4.09 % (1771052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/4.09 % (1771052)CaDiCaL version: 2.1.3
% 23.95/4.09 % (1771052)Termination reason: Instruction limit
% 23.95/4.09 % (1771052)Termination phase: Saturation
% 23.95/4.09 % (1771052)Time elapsed: 0.064 s
% 23.95/4.09 % (1771052)Peak memory usage: 90 MB
% 23.95/4.09 % (1771052)Instructions burned: 136 (million)
% 23.95/4.09 % (1771053)Refutation not found, incomplete strategy
% 23.95/4.09 % (1771053)------------------------------
% 23.95/4.09 % (1771053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/4.09 % (1771053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/4.09 % (1771053)CaDiCaL version: 2.1.3
% 23.95/4.09 % (1771053)Termination reason: Refutation not found, incomplete strategy
% 23.95/4.09 % (1771053)Time elapsed: 0.013 s
% 23.95/4.09 % (1771053)Peak memory usage: 89 MB
% 23.95/4.09 % (1771053)Instructions burned: 21 (million)
% 23.95/4.09 % (1771056)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3087013681:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 23.95/4.09 % (1771053)------------------------------
% 23.95/4.09 % (1771053)------------------------------
% 23.95/4.09 % (1771040)Instruction limit reached!
% 23.95/4.09 % (1771040)------------------------------
% 23.95/4.09 % (1771040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/4.09 % (1771040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/4.09 % (1771040)CaDiCaL version: 2.1.3
% 23.95/4.09 % (1771040)Termination reason: Instruction limit
% 23.95/4.09 % (1771040)Termination phase: Saturation
% 23.95/4.09 % (1771040)Time elapsed: 1.666 s
% 23.95/4.09 % (1771040)Peak memory usage: 163 MB
% 23.95/4.09 % (1771040)Instructions burned: 5204 (million)
% 23.95/4.09 % (1771058)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=537683995:i=6060:aac=none:ins=25_2973 on theBenchmark for (2973ds/6060Mi)
% 23.95/4.09 % (1771056)Instruction limit reached!
% 23.95/4.09 % (1771056)------------------------------
% 23.95/4.09 % (1771056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/4.09 % (1771056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/4.09 % (1771056)CaDiCaL version: 2.1.3
% 23.95/4.09 % (1771056)Termination reason: Instruction limit
% 23.95/4.09 % (1771056)Termination phase: Saturation
% 23.95/4.09 % (1771056)Time elapsed: 0.225 s
% 23.95/4.09 % (1771056)Peak memory usage: 92 MB
% 23.95/4.09 % (1771056)Instructions burned: 432 (million)
% 23.95/4.09 % (1771059)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=3162152022:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 23.95/4.09 % (1771059)Instruction limit reached!
% 23.95/4.09 % (1771059)------------------------------
% 23.95/4.09 % (1771059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/4.09 % (1771059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/4.09 % (1771059)CaDiCaL version: 2.1.3
% 23.95/4.09 % (1771059)Termination reason: Instruction limit
% 23.95/4.09 % (1771059)Termination phase: Saturation
% 23.95/4.09 % (1771059)Time elapsed: 0.042 s
% 23.95/4.09 % (1771059)Peak memory usage: 91 MB
% 23.95/4.09 % (1771059)Instructions burned: 152 (million)
% 23.95/4.09 % (1771061)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=647734225:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 23.95/4.09 % (1771063)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1565650764:i=667:av=off:fsr=off_2971 on theBenchmark for (2971ds/667Mi)
% 23.95/4.09 % (1771063)Refutation not found, incomplete strategy
% 23.95/4.09 % (1771063)------------------------------
% 23.95/4.09 % (1771063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/4.09 % (1771063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/4.09 % (1771063)CaDiCaL version: 2.1.3
% 23.95/4.09 % (1771063)Termination reason: Refutation not found, incomplete strategy
% 23.95/4.09 % (1771063)Time elapsed: 0.036 s
% 23.95/4.09 % (1771063)Peak memory usage: 91 MB
% 23.95/4.09 % (1771063)Instructions burned: 134 (million)
% 23.95/4.09 % (1771063)------------------------------
% 23.95/4.09 % (1771063)------------------------------
% 23.95/4.09 % (1771006)First to succeed.
% 23.95/4.09 % (1771006)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1771001"
% 23.95/4.09 % (1771066)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=4270583437:s2a=on:i=185:s2at=1.8:fdi=4_2968 on theBenchmark for (2968ds/185Mi)
% 23.95/4.09 % (1771066)Instruction limit reached!
% 23.95/4.09 % (1771066)------------------------------
% 23.95/4.09 % (1771066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.95/4.09 % (1771066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.95/4.09 % (1771066)CaDiCaL version: 2.1.3
% 23.95/4.09 % (1771066)Termination reason: Instruction limit
% 23.95/4.09 % (1771066)Termination phase: Saturation
% 23.95/4.09 % (1771066)Time elapsed: 0.052 s
% 23.95/4.09 % (1771066)Peak memory usage: 92 MB
% 23.95/4.09 % (1771066)Instructions burned: 186 (million)
% 23.95/4.09 % (1771006)Refutation found. Thanks to Tanya!
% 23.95/4.09 % SZS status Theorem for theBenchmark
% 23.95/4.09 % SZS output start Proof for theBenchmark
% See solution above
% 24.50/4.28 % (1771006)------------------------------
% 24.50/4.28 % (1771006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.50/4.28 % (1771006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.50/4.28 % (1771006)CaDiCaL version: 2.1.3
% 24.50/4.28 % (1771006)Termination reason: Refutation
% 24.50/4.28 % (1771006)Time elapsed: 2.933 s
% 24.50/4.28 % (1771006)Peak memory usage: 165 MB
% 24.50/4.28 % (1771006)Instructions burned: 4790 (million)
% 24.50/4.28 % (1771006)------------------------------
% 24.50/4.28 % (1771006)------------------------------
% 24.50/4.28 % (1771001)Success in time 3.423 s
% 24.50/4.28 % Vampire exiting
%------------------------------------------------------------------------------