%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW202+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 : n003.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 01:29:50 PM UTC 2026
% Result : Theorem 151.04s 30.41s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 83
% Syntax : Number of formulae : 744 ( 279 unt; 48 def)
% Number of atoms : 1628 ( 613 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 1459 ( 575 ~; 794 |; 22 &)
% ( 43 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 43 ( 41 usr; 30 prp; 0-3 aty)
% Number of functors : 34 ( 34 usr; 24 con; 0-3 aty)
% Number of variables : 677 ( 0 sgn 676 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ! [X2] : hAPP(X1,X2) = hAPP(X0,X2)
=> X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ext) ).
fof(f3,axiom,
v_b != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_b) ).
fof(f4,axiom,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_th0) ).
fof(f5,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_v____),v_na____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_v) ).
fof(f16,axiom,
! [X0] :
( class_RealVector_Oreal__algebra__1(X0)
=> c_RealVector_Oof__real(X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_of__real__1) ).
fof(f38,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(f42,axiom,
! [X0,X1,X2,X3] :
( class_Fields_Olinordered__field(X3)
=> ( c_Orderings_Oord__class_Oless(X3,X2,X1)
=> ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X0)
=> c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X2,X0),c_Rings_Oinverse__class_Odivide(X3,X1,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_divide__strict__right__mono) ).
fof(f63,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(f64,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,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
<=> c_Orderings_Oord__class_Oless(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pos__less__divide__eq) ).
fof(f80,axiom,
! [X0,X1,X2,X3] :
( class_RealVector_Oreal__normed__algebra(X3)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),c_Groups_Oplus__class_Oplus(X3,X1,X0)) = c_Groups_Oplus__class_Oplus(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult_Oadd__right) ).
fof(f83,axiom,
! [X0,X1,X2,X3,X4] :
( class_Fields_Ofield__inverse__zero(X4)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),c_Rings_Oinverse__class_Odivide(X4,X3,X2)),c_Rings_Oinverse__class_Odivide(X4,X1,X0)) = c_Rings_Oinverse__class_Odivide(X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X2),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_times__divide__times__eq) ).
fof(f88,axiom,
! [X0,X1,X2] :
( ( class_Fields_Ofield__inverse__zero(X2)
& class_RealVector_Oreal__normed__field(X2) )
=> c_RealVector_Onorm__class_Onorm(X2,c_Rings_Oinverse__class_Odivide(X2,X1,X0)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__divide) ).
fof(f142,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Odivision__ring(X3)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),c_Rings_Oinverse__class_Odivide(X3,X1,X0)) = c_Rings_Oinverse__class_Odivide(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_times__divide__eq__right) ).
fof(f157,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Olinordered__ring__strict(X3)
=> ( c_Orderings_Oord__class_Oless(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X1))
<=> ( ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X1)
& c_Orderings_Oord__class_Oless(X3,X2,X0) )
| ( c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Ozero__class_Ozero(X3))
& c_Orderings_Oord__class_Oless(X3,X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__less__cancel__right__disj) ).
fof(f185,axiom,
! [X0,X1,X2] :
( class_Rings_Odivision__ring(X2)
=> ( X1 != c_Groups_Ozero__class_Ozero(X2)
=> ( c_Rings_Oinverse__class_Odivide(X2,X0,X1) = c_Groups_Oone__class_Oone(X2)
<=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_right__inverse__eq) ).
fof(f202,axiom,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
<=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
& X1 != X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__less__def) ).
fof(f286,axiom,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__commute) ).
fof(f346,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(f456,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__1(X3)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J) ).
fof(f457,axiom,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__1(X2)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
fof(f463,axiom,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__1(X2)
=> c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(f467,axiom,
! [X0,X1] :
( class_Rings_Ocomm__semiring__1(X1)
=> c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Ozero__class_Ozero(X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J) ).
fof(f474,axiom,
! [X0,X1] :
( class_Rings_Ocomm__semiring__1(X1)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),c_Groups_Oone__class_Oone(X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J) ).
fof(f556,axiom,
! [X0,X1,X2] :
( class_Orderings_Olinorder(X2)
=> ( ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
=> ( X1 != X0
=> c_Orderings_Oord__class_Oless(X2,X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_linorder__cases) ).
fof(f1107,axiom,
class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__ring__strict) ).
fof(f1121,axiom,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Olinordered__field) ).
fof(f1135,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Olinorder) ).
fof(f1155,axiom,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra) ).
fof(f1158,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f1159,axiom,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__field) ).
fof(f1162,axiom,
class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__algebra__1) ).
fof(f1163,axiom,
class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Fields_Ofield__inverse__zero) ).
fof(f1169,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(f1171,axiom,
class_Rings_Odivision__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Odivision__ring) ).
fof(f1188,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_b),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_v____),v_na____),c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b))))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1189,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_b),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_v____),v_na____),c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b))))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(negated_conjecture,[status(cth)],[f1188]) ).
fof(f1194,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_b),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_v____),v_na____),c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b))))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(flattening,[],[f1189]) ).
fof(f1195,plain,
! [X0,X1] :
( X1 = X0
| ? [X2] : hAPP(X1,X2) != hAPP(X0,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1207,plain,
! [X0] :
( c_RealVector_Oof__real(X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(X0)
| ~ class_RealVector_Oreal__algebra__1(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f1233,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,[],[f38]) ).
fof(f1239,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X2,X0),c_Rings_Oinverse__class_Odivide(X3,X1,X0))
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X0)
| ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
| ~ class_Fields_Olinordered__field(X3) ),
inference(ennf_transformation,[],[f42]) ).
fof(f1240,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X2,X0),c_Rings_Oinverse__class_Odivide(X3,X1,X0))
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X0)
| ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
| ~ class_Fields_Olinordered__field(X3) ),
inference(flattening,[],[f1239]) ).
fof(f1276,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,[],[f63]) ).
fof(f1277,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,[],[f1276]) ).
fof(f1278,plain,
! [X0,X1,X2,X3] :
( ( c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
<=> c_Orderings_Oord__class_Oless(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X2),X0) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f1279,plain,
! [X0,X1,X2,X3] :
( ( c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
<=> c_Orderings_Oord__class_Oless(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X2),X0) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(flattening,[],[f1278]) ).
fof(f1302,plain,
! [X0,X1,X2,X3] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),c_Groups_Oplus__class_Oplus(X3,X1,X0)) = c_Groups_Oplus__class_Oplus(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X0))
| ~ class_RealVector_Oreal__normed__algebra(X3) ),
inference(ennf_transformation,[],[f80]) ).
fof(f1305,plain,
! [X0,X1,X2,X3,X4] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),c_Rings_Oinverse__class_Odivide(X4,X3,X2)),c_Rings_Oinverse__class_Odivide(X4,X1,X0)) = c_Rings_Oinverse__class_Odivide(X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X2),X0))
| ~ class_Fields_Ofield__inverse__zero(X4) ),
inference(ennf_transformation,[],[f83]) ).
fof(f1310,plain,
! [X0,X1,X2] :
( c_RealVector_Onorm__class_Onorm(X2,c_Rings_Oinverse__class_Odivide(X2,X1,X0)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X2,X0))
| ~ class_Fields_Ofield__inverse__zero(X2)
| ~ class_RealVector_Oreal__normed__field(X2) ),
inference(ennf_transformation,[],[f88]) ).
fof(f1311,plain,
! [X0,X1,X2] :
( c_RealVector_Onorm__class_Onorm(X2,c_Rings_Oinverse__class_Odivide(X2,X1,X0)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X2,X0))
| ~ class_Fields_Ofield__inverse__zero(X2)
| ~ class_RealVector_Oreal__normed__field(X2) ),
inference(flattening,[],[f1310]) ).
fof(f1372,plain,
! [X0,X1,X2,X3] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),c_Rings_Oinverse__class_Odivide(X3,X1,X0)) = c_Rings_Oinverse__class_Odivide(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1),X0)
| ~ class_Rings_Odivision__ring(X3) ),
inference(ennf_transformation,[],[f142]) ).
fof(f1388,plain,
! [X0,X1,X2,X3] :
( ( c_Orderings_Oord__class_Oless(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X1))
<=> ( ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X1)
& c_Orderings_Oord__class_Oless(X3,X2,X0) )
| ( c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Ozero__class_Ozero(X3))
& c_Orderings_Oord__class_Oless(X3,X0,X2) ) ) )
| ~ class_Rings_Olinordered__ring__strict(X3) ),
inference(ennf_transformation,[],[f157]) ).
fof(f1437,plain,
! [X0,X1,X2] :
( ( c_Rings_Oinverse__class_Odivide(X2,X0,X1) = c_Groups_Oone__class_Oone(X2)
<=> X0 = X1 )
| c_Groups_Ozero__class_Ozero(X2) = X1
| ~ class_Rings_Odivision__ring(X2) ),
inference(ennf_transformation,[],[f185]) ).
fof(f1438,plain,
! [X0,X1,X2] :
( ( c_Rings_Oinverse__class_Odivide(X2,X0,X1) = c_Groups_Oone__class_Oone(X2)
<=> X0 = X1 )
| c_Groups_Ozero__class_Ozero(X2) = X1
| ~ class_Rings_Odivision__ring(X2) ),
inference(flattening,[],[f1437]) ).
fof(f1761,plain,
! [X0,X1,X2,X3] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X0))
| ~ class_Rings_Ocomm__semiring__1(X3) ),
inference(ennf_transformation,[],[f456]) ).
fof(f1762,plain,
! [X0,X1,X2] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X0),X1)
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(ennf_transformation,[],[f457]) ).
fof(f1768,plain,
! [X0,X1,X2] :
( c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1)
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(ennf_transformation,[],[f463]) ).
fof(f1772,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Ozero__class_Ozero(X1)) = X0
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(ennf_transformation,[],[f467]) ).
fof(f1779,plain,
! [X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),c_Groups_Oone__class_Oone(X1)) = X0
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(ennf_transformation,[],[f474]) ).
fof(f1899,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless(X2,X0,X1)
| X0 = X1
| c_Orderings_Oord__class_Oless(X2,X1,X0)
| ~ class_Orderings_Olinorder(X2) ),
inference(ennf_transformation,[],[f556]) ).
fof(f1900,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless(X2,X0,X1)
| X0 = X1
| c_Orderings_Oord__class_Oless(X2,X1,X0)
| ~ class_Orderings_Olinorder(X2) ),
inference(flattening,[],[f1899]) ).
fof(f2296,plain,
! [X0,X1] :
( X1 = X0
| hAPP(X1,sK7(X0,X1)) != hAPP(X0,sK7(X0,X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f1195]) ).
fof(f2306,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,[],[f1233]) ).
fof(f2318,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,[],[f1277]) ).
fof(f2319,plain,
! [X0,X1,X2,X3] :
( ( ( c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
| ~ c_Orderings_Oord__class_Oless(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X2),X0) )
& ( c_Orderings_Oord__class_Oless(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X2),X0)
| ~ c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2)) ) )
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(nnf_transformation,[],[f1279]) ).
fof(f2360,plain,
! [X0,X1,X2,X3] :
( ( ( c_Orderings_Oord__class_Oless(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X1))
| ( ( ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X1)
| ~ c_Orderings_Oord__class_Oless(X3,X2,X0) )
& ( ~ c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Ozero__class_Ozero(X3))
| ~ c_Orderings_Oord__class_Oless(X3,X0,X2) ) ) )
& ( ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X1)
& c_Orderings_Oord__class_Oless(X3,X2,X0) )
| ( c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Ozero__class_Ozero(X3))
& c_Orderings_Oord__class_Oless(X3,X0,X2) )
| ~ c_Orderings_Oord__class_Oless(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X1)) ) )
| ~ class_Rings_Olinordered__ring__strict(X3) ),
inference(nnf_transformation,[],[f1388]) ).
fof(f2361,plain,
! [X0,X1,X2,X3] :
( ( ( c_Orderings_Oord__class_Oless(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X1))
| ( ( ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X1)
| ~ c_Orderings_Oord__class_Oless(X3,X2,X0) )
& ( ~ c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Ozero__class_Ozero(X3))
| ~ c_Orderings_Oord__class_Oless(X3,X0,X2) ) ) )
& ( ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X1)
& c_Orderings_Oord__class_Oless(X3,X2,X0) )
| ( c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Ozero__class_Ozero(X3))
& c_Orderings_Oord__class_Oless(X3,X0,X2) )
| ~ c_Orderings_Oord__class_Oless(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X1)) ) )
| ~ class_Rings_Olinordered__ring__strict(X3) ),
inference(flattening,[],[f2360]) ).
fof(f2370,plain,
! [X0,X1,X2] :
( ( ( c_Rings_Oinverse__class_Odivide(X2,X0,X1) = c_Groups_Oone__class_Oone(X2)
| X0 != X1 )
& ( X0 = X1
| c_Groups_Oone__class_Oone(X2) != c_Rings_Oinverse__class_Odivide(X2,X0,X1) ) )
| c_Groups_Ozero__class_Ozero(X2) = X1
| ~ class_Rings_Odivision__ring(X2) ),
inference(nnf_transformation,[],[f1438]) ).
fof(f2377,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| X0 = X1 )
& ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
& X1 != X0 )
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
inference(nnf_transformation,[],[f202]) ).
fof(f2378,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| X0 = X1 )
& ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
& X1 != X0 )
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
inference(flattening,[],[f2377]) ).
fof(f2697,plain,
! [X0,X1] :
( hAPP(X1,sK7(X0,X1)) != hAPP(X0,sK7(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f2296]) ).
fof(f2699,plain,
v_b != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f3]) ).
fof(f2700,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f4]) ).
fof(f2701,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_v____),v_na____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(cnf_transformation,[],[f5]) ).
fof(f2712,plain,
! [X0] :
( ~ class_RealVector_Oreal__algebra__1(X0)
| c_RealVector_Oof__real(X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(X0) ),
inference(cnf_transformation,[],[f1207]) ).
fof(f2742,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,[],[f2306]) ).
fof(f2746,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Oord__class_Oless(X3,c_Rings_Oinverse__class_Odivide(X3,X2,X0),c_Rings_Oinverse__class_Odivide(X3,X1,X0))
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X0)
| ~ c_Orderings_Oord__class_Oless(X3,X2,X1)
| ~ class_Fields_Olinordered__field(X3) ),
inference(cnf_transformation,[],[f1240]) ).
fof(f2790,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,[],[f2318]) ).
fof(f2792,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Oord__class_Oless(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X2),X0)
| ~ c_Orderings_Oord__class_Oless(X3,X1,c_Rings_Oinverse__class_Odivide(X3,X0,X2))
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Fields_Olinordered__field(X3) ),
inference(cnf_transformation,[],[f2319]) ).
fof(f2830,plain,
! [X2,X3,X0,X1] :
( ~ class_RealVector_Oreal__normed__algebra(X3)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),c_Groups_Oplus__class_Oplus(X3,X1,X0)) = c_Groups_Oplus__class_Oplus(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X0)) ),
inference(cnf_transformation,[],[f1302]) ).
fof(f2833,plain,
! [X2,X3,X0,X1,X4] :
( ~ class_Fields_Ofield__inverse__zero(X4)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),c_Rings_Oinverse__class_Odivide(X4,X3,X2)),c_Rings_Oinverse__class_Odivide(X4,X1,X0)) = c_Rings_Oinverse__class_Odivide(X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4),X2),X0)) ),
inference(cnf_transformation,[],[f1305]) ).
fof(f2838,plain,
! [X2,X0,X1] :
( ~ class_Fields_Ofield__inverse__zero(X2)
| c_RealVector_Onorm__class_Onorm(X2,c_Rings_Oinverse__class_Odivide(X2,X1,X0)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X2,X0))
| ~ class_RealVector_Oreal__normed__field(X2) ),
inference(cnf_transformation,[],[f1311]) ).
fof(f2928,plain,
! [X2,X3,X0,X1] :
( ~ class_Rings_Odivision__ring(X3)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),c_Rings_Oinverse__class_Odivide(X3,X1,X0)) = c_Rings_Oinverse__class_Odivide(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1),X0) ),
inference(cnf_transformation,[],[f1372]) ).
fof(f2946,plain,
! [X2,X3,X0,X1] :
( ~ c_Orderings_Oord__class_Oless(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),X1))
| c_Orderings_Oord__class_Oless(X3,X0,X2)
| c_Orderings_Oord__class_Oless(X3,X2,X0)
| ~ class_Rings_Olinordered__ring__strict(X3) ),
inference(cnf_transformation,[],[f2361]) ).
fof(f2992,plain,
! [X2,X0,X1] :
( c_Groups_Oone__class_Oone(X2) = c_Rings_Oinverse__class_Odivide(X2,X0,X1)
| X0 != X1
| c_Groups_Ozero__class_Ozero(X2) = X1
| ~ class_Rings_Odivision__ring(X2) ),
inference(cnf_transformation,[],[f2370]) ).
fof(f3015,plain,
! [X0,X1] :
( X0 != X1
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f2378]) ).
fof(f3154,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),
inference(cnf_transformation,[],[f286]) ).
fof(f3260,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,[],[f346]) ).
fof(f3416,plain,
! [X2,X3,X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X3)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X0)) ),
inference(cnf_transformation,[],[f1761]) ).
fof(f3417,plain,
! [X2,X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X2)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X0),X1) ),
inference(cnf_transformation,[],[f1762]) ).
fof(f3423,plain,
! [X2,X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X2)
| c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1) ),
inference(cnf_transformation,[],[f1768]) ).
fof(f3428,plain,
! [X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X1)
| c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Ozero__class_Ozero(X1)) = X0 ),
inference(cnf_transformation,[],[f1772]) ).
fof(f3439,plain,
! [X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X1)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),c_Groups_Oone__class_Oone(X1)) = X0 ),
inference(cnf_transformation,[],[f1779]) ).
fof(f3544,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless(X2,X1,X0)
| c_Orderings_Oord__class_Oless(X2,X0,X1)
| X0 = X1
| ~ class_Orderings_Olinorder(X2) ),
inference(cnf_transformation,[],[f1900]) ).
fof(f4309,plain,
class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1107]) ).
fof(f4323,plain,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1121]) ).
fof(f4337,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1135]) ).
fof(f4357,plain,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1155]) ).
fof(f4360,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1158]) ).
fof(f4361,plain,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1159]) ).
fof(f4364,plain,
class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1162]) ).
fof(f4365,plain,
class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1163]) ).
fof(f4371,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1169]) ).
fof(f4373,plain,
class_Rings_Odivision__ring(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1171]) ).
fof(f4390,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_b),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_v____),v_na____),c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b))))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(cnf_transformation,[],[f1194]) ).
fof(f4611,plain,
! [X2,X1] :
( ~ class_Rings_Odivision__ring(X2)
| c_Groups_Ozero__class_Ozero(X2) = X1
| c_Groups_Oone__class_Oone(X2) = c_Rings_Oinverse__class_Odivide(X2,X1,X1) ),
inference(equality_resolution,[],[f2992]) ).
fof(f4615,plain,
! [X1] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
inference(equality_resolution,[],[f3015]) ).
fof(f4763,definition,
sF60 = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF60])],[function_definition]) ).
fof(f4764,plain,
c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = sF60,
inference(reorient_equations,[],[f4763]) ).
fof(f4765,definition,
sF61 = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b),
introduced(definition,[new_symbols(definition,[sF61])],[function_definition]) ).
fof(f4766,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b) = sF61,
inference(reorient_equations,[],[f4765]) ).
fof(f4767,definition,
sF62 = c_RealVector_Oof__real(tc_Complex_Ocomplex,sF61),
introduced(definition,[new_symbols(definition,[sF62])],[function_definition]) ).
fof(f4768,plain,
c_RealVector_Oof__real(tc_Complex_Ocomplex,sF61) = sF62,
inference(reorient_equations,[],[f4767]) ).
fof(f4769,definition,
sF63 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,v_b),
introduced(definition,[new_symbols(definition,[sF63])],[function_definition]) ).
fof(f4770,plain,
c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,v_b) = sF63,
inference(reorient_equations,[],[f4769]) ).
fof(f4771,definition,
sF64 = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF63),
introduced(definition,[new_symbols(definition,[sF64])],[function_definition]) ).
fof(f4772,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF63) = sF64,
inference(reorient_equations,[],[f4771]) ).
fof(f4773,definition,
sF65 = hAPP(sF60,sF64),
introduced(definition,[new_symbols(definition,[sF65])],[function_definition]) ).
fof(f4774,plain,
hAPP(sF60,sF64) = sF65,
inference(reorient_equations,[],[f4773]) ).
fof(f4775,definition,
sF66 = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF66])],[function_definition]) ).
fof(f4776,plain,
c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = sF66,
inference(reorient_equations,[],[f4775]) ).
fof(f4777,definition,
sF67 = c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF67])],[function_definition]) ).
fof(f4778,plain,
c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = sF67,
inference(reorient_equations,[],[f4777]) ).
fof(f4779,definition,
sF68 = hAPP(sF67,v_b),
introduced(definition,[new_symbols(definition,[sF68])],[function_definition]) ).
fof(f4780,plain,
hAPP(sF67,v_b) = sF68,
inference(reorient_equations,[],[f4779]) ).
fof(f4781,definition,
sF69 = c_Power_Opower__class_Opower(tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF69])],[function_definition]) ).
fof(f4782,plain,
c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = sF69,
inference(reorient_equations,[],[f4781]) ).
fof(f4783,definition,
sF70 = hAPP(sF69,v_v____),
introduced(definition,[new_symbols(definition,[sF70])],[function_definition]) ).
fof(f4784,plain,
hAPP(sF69,v_v____) = sF70,
inference(reorient_equations,[],[f4783]) ).
fof(f4785,definition,
sF71 = hAPP(sF70,v_na____),
introduced(definition,[new_symbols(definition,[sF71])],[function_definition]) ).
fof(f4786,plain,
hAPP(sF70,v_na____) = sF71,
inference(reorient_equations,[],[f4785]) ).
fof(f4787,definition,
sF72 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,sF62),
introduced(definition,[new_symbols(definition,[sF72])],[function_definition]) ).
fof(f4788,plain,
c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,sF62) = sF72,
inference(reorient_equations,[],[f4787]) ).
fof(f4789,definition,
sF73 = hAPP(sF68,sF72),
introduced(definition,[new_symbols(definition,[sF73])],[function_definition]) ).
fof(f4790,plain,
hAPP(sF68,sF72) = sF73,
inference(reorient_equations,[],[f4789]) ).
fof(f4791,definition,
sF74 = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF66,sF73),
introduced(definition,[new_symbols(definition,[sF74])],[function_definition]) ).
fof(f4792,plain,
c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF66,sF73) = sF74,
inference(reorient_equations,[],[f4791]) ).
fof(f4793,definition,
sF75 = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF74),
introduced(definition,[new_symbols(definition,[sF75])],[function_definition]) ).
fof(f4794,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF74) = sF75,
inference(reorient_equations,[],[f4793]) ).
fof(f4795,definition,
sF76 = hAPP(sF65,sF75),
introduced(definition,[new_symbols(definition,[sF76])],[function_definition]) ).
fof(f4796,plain,
hAPP(sF65,sF75) = sF76,
inference(reorient_equations,[],[f4795]) ).
fof(f4797,definition,
sF77 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF77])],[function_definition]) ).
fof(f4798,plain,
c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = sF77,
inference(reorient_equations,[],[f4797]) ).
fof(f4799,definition,
sF78 = hAPP(sF65,sF77),
introduced(definition,[new_symbols(definition,[sF78])],[function_definition]) ).
fof(f4800,plain,
hAPP(sF65,sF77) = sF78,
inference(reorient_equations,[],[f4799]) ).
fof(f4801,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF76,sF78),
inference(definition_folding,[],[f4390,f4800,f4798,f4774,f4772,f4770,f4768,f4766,f4764,f4796,f4794,f4792,f4790,f4788,f4768,f4766,f4786,f4784,f4782,f4780,f4778,f4776,f4774,f4772,f4770,f4768,f4766,f4764]) ).
fof(f4878,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,hAPP(hAPP(sF60,X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X2),X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
| ~ class_Fields_Olinordered__field(tc_RealDef_Oreal) ),
inference(superposition,[],[f2790,f4764]) ).
fof(f4888,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,hAPP(hAPP(sF60,X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X2),X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) ),
inference(forward_subsumption_resolution,[],[f4878,f4323]) ).
fof(f4892,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(sF60,X0),X1),X2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X1))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
| ~ class_Fields_Olinordered__field(tc_RealDef_Oreal) ),
inference(superposition,[],[f2792,f4764]) ).
fof(f4894,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(sF60,X0),X1),X2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X2,X1))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
inference(forward_subsumption_resolution,[],[f4892,f4323]) ).
fof(f4912,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_v____),v_na____))),sF77),
inference(superposition,[],[f2701,f4798]) ).
fof(f4913,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b),hAPP(hAPP(sF69,v_v____),v_na____))),sF77),
inference(forward_demodulation,[],[f4912,f4782]) ).
fof(f4916,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b),hAPP(sF70,v_na____))),sF77),
inference(forward_demodulation,[],[f4913,f4784]) ).
fof(f4919,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)),v_b),sF71)),sF77),
inference(forward_demodulation,[],[f4916,f4786]) ).
fof(f4922,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,sF61),v_b),sF71)),sF77),
inference(forward_demodulation,[],[f4919,f4766]) ).
fof(f4925,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,v_b),sF71)),sF77),
inference(forward_demodulation,[],[f4922,f4768]) ).
fof(f4928,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF71)),sF77),
inference(forward_demodulation,[],[f4925,f4770]) ).
fof(f4970,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1),sF64)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,hAPP(sF65,X1))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
inference(superposition,[],[f4888,f4774]) ).
fof(f4972,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF64,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(sF65,X0),X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
inference(superposition,[],[f4894,f4774]) ).
fof(f4980,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(sF60,X0),X1),hAPP(hAPP(sF60,X2),X1))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2)
| ~ class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ),
inference(superposition,[],[f2946,f4764]) ).
fof(f4990,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(sF60,X0),X1),hAPP(hAPP(sF60,X2),X1))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X2) ),
inference(forward_subsumption_resolution,[],[f4980,f4309]) ).
fof(f5173,plain,
c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,sF61),v_b)),
inference(superposition,[],[f2700,f4766]) ).
fof(f5174,plain,
c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,v_b)),
inference(forward_demodulation,[],[f5173,f4768]) ).
fof(f5175,plain,
c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF63),
inference(forward_demodulation,[],[f5174,f4770]) ).
fof(f5176,plain,
c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = sF64,
inference(forward_demodulation,[],[f5175,f4772]) ).
fof(f5177,plain,
sF64 = sF77,
inference(forward_demodulation,[],[f5176,f4798]) ).
fof(f5178,plain,
sF78 = hAPP(sF65,sF64),
inference(superposition,[],[f4800,f5177]) ).
fof(f5411,plain,
! [X0,X1] : hAPP(hAPP(sF60,X0),X1) = hAPP(hAPP(sF60,X1),X0),
inference(superposition,[],[f3154,f4764]) ).
fof(f5461,plain,
! [X0] : hAPP(sF65,X0) = hAPP(hAPP(sF60,X0),sF64),
inference(superposition,[],[f5411,f4774]) ).
fof(f5481,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(sF60,X1),sF64),hAPP(sF65,X0))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
inference(superposition,[],[f4990,f5461]) ).
fof(f5484,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(sF65,X1),hAPP(sF65,X0))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
inference(forward_demodulation,[],[f5481,f5461]) ).
fof(f5705,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),X0),
inference(resolution,[],[f4371,f3417]) ).
fof(f5706,plain,
! [X0,X1] : hAPP(hAPP(sF67,X0),X1) = hAPP(hAPP(sF67,X1),X0),
inference(forward_demodulation,[],[f5705,f4778]) ).
fof(f5708,plain,
! [X0] : hAPP(hAPP(sF67,X0),v_b) = hAPP(sF68,X0),
inference(superposition,[],[f5706,f4780]) ).
fof(f5802,plain,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),sF77),X0) = X0,
inference(superposition,[],[f3260,f4798]) ).
fof(f5843,plain,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),sF64),X0) = X0,
inference(forward_demodulation,[],[f5802,f5177]) ).
fof(f5863,plain,
! [X0] : hAPP(hAPP(sF60,sF64),X0) = X0,
inference(forward_demodulation,[],[f5843,f4764]) ).
fof(f5879,plain,
! [X0] : hAPP(sF65,X0) = X0,
inference(forward_demodulation,[],[f5863,f4774]) ).
fof(f5898,plain,
sF64 = sF78,
inference(superposition,[],[f5178,f5879]) ).
fof(f5899,plain,
sF75 = sF76,
inference(superposition,[],[f4796,f5879]) ).
fof(f5903,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF76,sF64),
inference(superposition,[],[f4801,f5898]) ).
fof(f5904,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF75,sF64),
inference(forward_demodulation,[],[f5903,f5899]) ).
fof(f6245,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X0) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X1),
inference(resolution,[],[f3423,f4371]) ).
fof(f6976,plain,
! [X2,X3,X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1)),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X2,X3)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),X3)),
inference(resolution,[],[f4365,f2833]) ).
fof(f6977,plain,
! [X0,X1] :
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))
| ~ class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
inference(resolution,[],[f4365,f2838]) ).
fof(f6978,plain,
! [X0,X1] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),
inference(forward_subsumption_resolution,[],[f6977,f4361]) ).
fof(f6979,plain,
! [X2,X3,X0,X1] : hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1)),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X2,X3)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),X2),hAPP(hAPP(sF67,X1),X3)),
inference(forward_demodulation,[],[f6976,f4778]) ).
fof(f6980,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,X0)),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X2)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,X1),hAPP(hAPP(sF67,X0),X2)),
inference(superposition,[],[f6979,f4780]) ).
fof(f6984,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b)),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X2)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),X1),hAPP(sF68,X2)),
inference(superposition,[],[f6979,f4780]) ).
fof(f6996,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,X0)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,sF61,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0)),
inference(superposition,[],[f6978,f4766]) ).
fof(f7000,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),sF61),
inference(superposition,[],[f6978,f4766]) ).
fof(f7002,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF63)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),sF64),
inference(superposition,[],[f6978,f4772]) ).
fof(f7025,plain,
! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,sF71),hAPP(hAPP(sF67,X0),sF62)) = hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,X0)),sF72),
inference(superposition,[],[f6980,f4788]) ).
fof(f7054,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF63) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62),sF61),
inference(superposition,[],[f7000,f4770]) ).
fof(f7063,plain,
sF64 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62),sF61),
inference(forward_demodulation,[],[f7054,f4772]) ).
fof(f7072,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,sF61),sF64)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sF61)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62))
| ~ class_Fields_Olinordered__field(tc_RealDef_Oreal) ),
inference(superposition,[],[f2746,f7063]) ).
fof(f7073,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF64,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,sF61))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sF61)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62),X0)
| ~ class_Fields_Olinordered__field(tc_RealDef_Oreal) ),
inference(superposition,[],[f2746,f7063]) ).
fof(f7078,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF64,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,sF61))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sF61)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62),X0) ),
inference(forward_subsumption_resolution,[],[f7073,f4323]) ).
fof(f7079,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,sF61),sF64)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sF61)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62)) ),
inference(forward_subsumption_resolution,[],[f7072,f4323]) ).
fof(f7093,definition,
( spl79_45
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sF61) ),
introduced(definition,[new_symbols(definition,[spl79_45])],[avatar_definition]) ).
fof(f7094,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sF61)
| ~ spl79_45 ),
inference(avatar_component_clause,[],[f7093]) ).
fof(f7095,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sF61)
| spl79_45 ),
inference(avatar_component_clause,[],[f7093]) ).
fof(f7097,definition,
( spl79_46
<=> ! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF64,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,sF61))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62),X0) ) ),
introduced(definition,[new_symbols(definition,[spl79_46])],[avatar_definition]) ).
fof(f7098,plain,
( ! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF64,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,sF61))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62),X0) )
| ~ spl79_46 ),
inference(avatar_component_clause,[],[f7097]) ).
fof(f7099,plain,
( ~ spl79_45
| spl79_46 ),
inference(avatar_split_clause,[],[f7078,f7097,f7093]) ).
fof(f7101,definition,
( spl79_47
<=> ! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,sF61),sF64)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62)) ) ),
introduced(definition,[new_symbols(definition,[spl79_47])],[avatar_definition]) ).
fof(f7102,plain,
( ! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,sF61),sF64)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62)) )
| ~ spl79_47 ),
inference(avatar_component_clause,[],[f7101]) ).
fof(f7103,plain,
( ~ spl79_45
| spl79_47 ),
inference(avatar_split_clause,[],[f7079,f7101,f7093]) ).
fof(f7122,plain,
! [X2,X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),X2)),
inference(resolution,[],[f3416,f4371]) ).
fof(f7123,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,X0),hAPP(hAPP(sF67,X1),X2)) = hAPP(hAPP(sF67,X1),hAPP(hAPP(sF67,X0),X2)),
inference(forward_demodulation,[],[f7122,f4778]) ).
fof(f7134,plain,
! [X0,X1] : hAPP(sF68,hAPP(hAPP(sF67,X0),X1)) = hAPP(hAPP(sF67,X0),hAPP(sF68,X1)),
inference(superposition,[],[f7123,f4780]) ).
fof(f7136,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,X1),hAPP(hAPP(sF67,X2),X0)) = hAPP(hAPP(sF67,X2),hAPP(hAPP(sF67,X0),X1)),
inference(superposition,[],[f7123,f5706]) ).
fof(f7162,plain,
! [X0] : hAPP(sF68,hAPP(hAPP(sF67,X0),sF72)) = hAPP(hAPP(sF67,X0),sF73),
inference(superposition,[],[f7134,f4790]) ).
fof(f7170,plain,
! [X0,X1] : hAPP(sF68,hAPP(hAPP(sF67,X0),X1)) = hAPP(hAPP(sF67,hAPP(sF68,X1)),X0),
inference(superposition,[],[f5706,f7134]) ).
fof(f7211,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,X0),hAPP(hAPP(sF67,X1),X2)) = hAPP(hAPP(sF67,X0),hAPP(hAPP(sF67,X2),X1)),
inference(superposition,[],[f7123,f7136]) ).
fof(f8278,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sF61)
| v_b = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
inference(superposition,[],[f2742,f4766]) ).
fof(f8296,plain,
( v_b = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| spl79_45 ),
inference(forward_subsumption_resolution,[],[f8278,f7095]) ).
fof(f8305,plain,
( ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| spl79_45 ),
inference(forward_subsumption_resolution,[],[f8296,f2699]) ).
fof(f8311,plain,
( $false
| spl79_45 ),
inference(forward_subsumption_resolution,[],[f8305,f4360]) ).
fof(f8312,plain,
spl79_45,
inference(avatar_contradiction_clause,[],[f8311]) ).
fof(f9673,plain,
c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(resolution,[],[f2712,f4364]) ).
fof(f9674,plain,
c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = c_RealVector_Oof__real(tc_Complex_Ocomplex,sF77),
inference(forward_demodulation,[],[f9673,f4798]) ).
fof(f9675,plain,
c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = c_RealVector_Oof__real(tc_Complex_Ocomplex,sF64),
inference(forward_demodulation,[],[f9674,f5177]) ).
fof(f9676,plain,
sF66 = c_RealVector_Oof__real(tc_Complex_Ocomplex,sF64),
inference(forward_demodulation,[],[f9675,f4776]) ).
fof(f10684,plain,
! [X2,X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X2)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),X1),X2),
inference(resolution,[],[f4373,f2928]) ).
fof(f10685,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X2)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),X1),X2),
inference(forward_demodulation,[],[f10684,f4778]) ).
fof(f10686,plain,
! [X0,X1] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,X0),X1),
inference(superposition,[],[f10685,f4780]) ).
fof(f10688,plain,
! [X2,X0,X1] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),X1),X2) = hAPP(hAPP(sF67,X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X2)),
inference(superposition,[],[f10685,f5706]) ).
fof(f10697,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,X1),X2)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,hAPP(hAPP(sF67,X0),X1)),X2),
inference(superposition,[],[f10685,f7134]) ).
fof(f10698,plain,
! [X0,X1] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,X0),X1) = hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,X1)),
inference(superposition,[],[f10685,f5708]) ).
fof(f10703,plain,
! [X2,X3,X0,X1] : hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X2)),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X3)) = hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,hAPP(hAPP(sF67,X2),X3))),
inference(superposition,[],[f6979,f10685]) ).
fof(f10706,plain,
! [X0,X1] : c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),X1)),sF61) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,v_b))),
inference(superposition,[],[f7000,f10685]) ).
fof(f10708,plain,
! [X0,X1] : c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),X1)),sF64) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,sF63))),
inference(superposition,[],[f7002,f10685]) ).
fof(f10728,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X2)) = hAPP(hAPP(sF67,X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X2)),
inference(forward_demodulation,[],[f10688,f10685]) ).
fof(f10762,plain,
! [X0] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF72,X0)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,X0),
inference(superposition,[],[f10686,f4790]) ).
fof(f10763,plain,
! [X0,X1] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),sF72),X1)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),sF73),X1),
inference(superposition,[],[f10686,f7162]) ).
fof(f10768,plain,
! [X0] : c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(sF68,X0)),sF61) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b))),
inference(superposition,[],[f7000,f10686]) ).
fof(f10781,plain,
! [X0,X1] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),sF72),X1)) = hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,X1)),
inference(forward_demodulation,[],[f10763,f10685]) ).
fof(f10787,plain,
! [X0,X1] : hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,X1)) = hAPP(sF68,hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF72,X1))),
inference(forward_demodulation,[],[f10781,f10685]) ).
fof(f10817,plain,
! [X0] : hAPP(hAPP(sF67,sF62),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b)) = hAPP(hAPP(sF67,X0),sF63),
inference(superposition,[],[f10728,f4770]) ).
fof(f10845,plain,
! [X2,X0,X1] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,X0),hAPP(hAPP(sF67,X1),X2)) = hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,X1),X2)),
inference(superposition,[],[f6980,f10728]) ).
fof(f10848,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X2)) = hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X2)),X1),
inference(superposition,[],[f5706,f10728]) ).
fof(f10869,plain,
! [X2,X0,X1] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,hAPP(hAPP(sF67,X1),X2))) = hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,X1),X2)),
inference(forward_demodulation,[],[f10845,f10686]) ).
fof(f11151,plain,
! [X0,X1] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),v_b),hAPP(sF68,X1)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b)),X1),
inference(superposition,[],[f6984,f10698]) ).
fof(f11168,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,X1),X2)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,X0),X1),X2),
inference(superposition,[],[f10685,f10698]) ).
fof(f11173,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,X1),X2)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1)),X2),
inference(forward_demodulation,[],[f11168,f10686]) ).
fof(f11190,plain,
! [X0,X1] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),v_b),hAPP(sF68,X1)) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b),X1)),
inference(forward_demodulation,[],[f11151,f10686]) ).
fof(f11201,plain,
! [X2,X0,X1] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1),X2)) = hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,X1),X2)),
inference(forward_demodulation,[],[f11173,f10686]) ).
fof(f11216,plain,
! [X0,X1] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b),X1)) = hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,hAPP(sF68,X1))),
inference(forward_demodulation,[],[f11190,f10685]) ).
fof(f11225,plain,
! [X2,X0,X1] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,hAPP(hAPP(sF67,X1),X2))) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1),X2)),
inference(forward_demodulation,[],[f11201,f10869]) ).
fof(f11236,plain,
! [X0,X1] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,X0),hAPP(sF68,X1)) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b),X1)),
inference(forward_demodulation,[],[f11216,f10698]) ).
fof(f11249,plain,
! [X0,X1] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,hAPP(sF68,X1))) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b),X1)),
inference(forward_demodulation,[],[f11236,f10686]) ).
fof(f11517,plain,
! [X0] : c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),sF62)),sF61) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),sF63)),
inference(superposition,[],[f10706,f4770]) ).
fof(f12003,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),sF63)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,sF62),X0)),sF61),
inference(superposition,[],[f11517,f5706]) ).
fof(f12074,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0
| c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X0) ),
inference(resolution,[],[f4611,f4373]) ).
fof(f12075,plain,
! [X0] :
( sF66 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X0)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(forward_demodulation,[],[f12074,f4776]) ).
fof(f12082,plain,
! [X0,X1] :
( hAPP(hAPP(sF67,X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1)) = hAPP(hAPP(sF67,X0),sF66)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 ),
inference(superposition,[],[f10728,f12075]) ).
fof(f12084,plain,
! [X0,X1] :
( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,X1),hAPP(hAPP(sF67,X0),X1)) = hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,X0)),sF66)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 ),
inference(superposition,[],[f6980,f12075]) ).
fof(f12086,plain,
! [X0] :
( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),v_b)),sF61) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),sF66))
| v_b = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(superposition,[],[f10706,f12075]) ).
fof(f12093,plain,
! [X0,X1] :
( sF66 = hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X0)),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(hAPP(sF67,X0),X1) ),
inference(superposition,[],[f6979,f12075]) ).
fof(f12095,plain,
! [X0] :
( sF66 = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,hAPP(sF68,X0)))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(sF68,X0) ),
inference(superposition,[],[f10686,f12075]) ).
fof(f12097,plain,
! [X0] :
( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,X0),v_b) = hAPP(hAPP(sF67,X0),sF66)
| v_b = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(superposition,[],[f10698,f12075]) ).
fof(f12098,plain,
( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,sF61,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF66)
| v_b = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(superposition,[],[f6996,f12075]) ).
fof(f12114,definition,
( spl79_69
<=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF73 ),
introduced(definition,[new_symbols(definition,[spl79_69])],[avatar_definition]) ).
fof(f12115,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != sF73
| spl79_69 ),
inference(avatar_component_clause,[],[f12114]) ).
fof(f12116,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF73
| ~ spl79_69 ),
inference(avatar_component_clause,[],[f12114]) ).
fof(f12123,definition,
( spl79_71
<=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF72 ),
introduced(definition,[new_symbols(definition,[spl79_71])],[avatar_definition]) ).
fof(f12124,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != sF72
| spl79_71 ),
inference(avatar_component_clause,[],[f12123]) ).
fof(f12125,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF72
| ~ spl79_71 ),
inference(avatar_component_clause,[],[f12123]) ).
fof(f12137,plain,
c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,sF61,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_b)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF66),
inference(forward_subsumption_resolution,[],[f12098,f2699]) ).
fof(f12138,plain,
! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,X0),v_b) = hAPP(hAPP(sF67,X0),sF66),
inference(forward_subsumption_resolution,[],[f12097,f2699]) ).
fof(f12141,plain,
! [X0,X1] :
( sF66 = hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1),X0))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(hAPP(sF67,X0),X1) ),
inference(forward_demodulation,[],[f12093,f10848]) ).
fof(f12153,definition,
( spl79_76
<=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF63 ),
introduced(definition,[new_symbols(definition,[spl79_76])],[avatar_definition]) ).
fof(f12154,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != sF63
| spl79_76 ),
inference(avatar_component_clause,[],[f12153]) ).
fof(f12155,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF63
| ~ spl79_76 ),
inference(avatar_component_clause,[],[f12153]) ).
fof(f12162,plain,
! [X0] : c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),v_b)),sF61) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),sF66)),
inference(forward_subsumption_resolution,[],[f12086,f2699]) ).
fof(f12164,plain,
! [X0,X1] :
( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,X1),hAPP(hAPP(sF67,X0),X1)) = hAPP(hAPP(sF67,v_b),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF66,X0))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 ),
inference(forward_demodulation,[],[f12084,f10848]) ).
fof(f12176,plain,
c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,sF61,sF61) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF66),
inference(forward_demodulation,[],[f12137,f4766]) ).
fof(f12177,plain,
! [X0] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b)) = hAPP(hAPP(sF67,X0),sF66),
inference(forward_demodulation,[],[f12138,f10686]) ).
fof(f12184,plain,
! [X0] : c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(sF68,X0)),sF61) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),sF66)),
inference(forward_demodulation,[],[f12162,f5708]) ).
fof(f12186,plain,
! [X0,X1] :
( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,X1),hAPP(hAPP(sF67,X0),X1)) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF66,X0))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 ),
inference(forward_demodulation,[],[f12164,f4780]) ).
fof(f12196,plain,
! [X0,X1] :
( hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF66,X0)) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,hAPP(hAPP(sF67,X0),X1)))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 ),
inference(forward_demodulation,[],[f12186,f10686]) ).
fof(f12200,plain,
! [X0,X1] :
( hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF66,X0)) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X0),X1))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 ),
inference(forward_demodulation,[],[f12196,f11225]) ).
fof(f12203,plain,
( sF63 = sF73
| ~ spl79_69
| ~ spl79_76 ),
inference(forward_demodulation,[],[f12155,f12116]) ).
fof(f12225,plain,
( sF63 = sF72
| ~ spl79_71
| ~ spl79_76 ),
inference(forward_demodulation,[],[f12155,f12125]) ).
fof(f12260,plain,
hAPP(sF68,sF63) = hAPP(hAPP(sF67,sF62),sF66),
inference(superposition,[],[f12177,f4770]) ).
fof(f12264,plain,
c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,v_b) = hAPP(hAPP(sF67,sF72),sF66),
inference(superposition,[],[f10762,f12177]) ).
fof(f12267,plain,
! [X0,X1] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b),X1)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),sF66),X1),
inference(superposition,[],[f10686,f12177]) ).
fof(f12269,plain,
! [X0,X1] : hAPP(sF68,hAPP(hAPP(sF67,X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b))) = hAPP(hAPP(sF67,X1),hAPP(hAPP(sF67,X0),sF66)),
inference(superposition,[],[f7134,f12177]) ).
fof(f12271,plain,
! [X0,X1] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b),X1)) = hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF66,X1)),
inference(forward_demodulation,[],[f12267,f10685]) ).
fof(f12281,plain,
! [X0,X1] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,hAPP(sF68,X1))) = hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF66,X1)),
inference(forward_demodulation,[],[f12271,f11249]) ).
fof(f12291,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF66),sF64)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF61,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62))
| ~ spl79_47 ),
inference(superposition,[],[f7102,f12176]) ).
fof(f12292,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF64,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF66))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62),sF61)
| ~ spl79_46 ),
inference(superposition,[],[f7098,f12176]) ).
fof(f12300,definition,
( spl79_81
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62),sF61) ),
introduced(definition,[new_symbols(definition,[spl79_81])],[avatar_definition]) ).
fof(f12302,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62),sF61)
| spl79_81 ),
inference(avatar_component_clause,[],[f12300]) ).
fof(f12304,definition,
( spl79_82
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF64,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF66)) ),
introduced(definition,[new_symbols(definition,[spl79_82])],[avatar_definition]) ).
fof(f12306,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF64,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF66))
| ~ spl79_82 ),
inference(avatar_component_clause,[],[f12304]) ).
fof(f12307,plain,
( ~ spl79_81
| spl79_82
| ~ spl79_46 ),
inference(avatar_split_clause,[],[f12292,f7097,f12304,f12300]) ).
fof(f12309,definition,
( spl79_83
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF61,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62)) ),
introduced(definition,[new_symbols(definition,[spl79_83])],[avatar_definition]) ).
fof(f12311,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF61,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62))
| spl79_83 ),
inference(avatar_component_clause,[],[f12309]) ).
fof(f12313,definition,
( spl79_84
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF66),sF64) ),
introduced(definition,[new_symbols(definition,[spl79_84])],[avatar_definition]) ).
fof(f12315,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF66),sF64)
| ~ spl79_84 ),
inference(avatar_component_clause,[],[f12313]) ).
fof(f12316,plain,
( ~ spl79_83
| spl79_84
| ~ spl79_47 ),
inference(avatar_split_clause,[],[f12291,f7101,f12313,f12309]) ).
fof(f12500,plain,
! [X0] : hAPP(hAPP(sF67,sF62),hAPP(hAPP(sF67,X0),sF66)) = hAPP(hAPP(sF67,X0),hAPP(sF68,sF63)),
inference(superposition,[],[f7123,f12260]) ).
fof(f12515,plain,
! [X0] : hAPP(hAPP(sF67,sF62),hAPP(hAPP(sF67,X0),sF66)) = hAPP(sF68,hAPP(hAPP(sF67,X0),sF63)),
inference(forward_demodulation,[],[f12500,f7134]) ).
fof(f12641,definition,
( spl79_87
<=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF66 ),
introduced(definition,[new_symbols(definition,[spl79_87])],[avatar_definition]) ).
fof(f12642,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != sF66
| spl79_87 ),
inference(avatar_component_clause,[],[f12641]) ).
fof(f12643,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF66
| ~ spl79_87 ),
inference(avatar_component_clause,[],[f12641]) ).
fof(f12722,plain,
( hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF66,sF62)) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF72,sF71))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF71 ),
inference(superposition,[],[f12200,f4788]) ).
fof(f12745,plain,
( hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF66,sF62)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,sF71)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF71 ),
inference(forward_demodulation,[],[f12722,f10762]) ).
fof(f12769,definition,
( spl79_92
<=> hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF66,sF62)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,sF71) ),
introduced(definition,[new_symbols(definition,[spl79_92])],[avatar_definition]) ).
fof(f12771,plain,
( hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF66,sF62)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,sF71)
| ~ spl79_92 ),
inference(avatar_component_clause,[],[f12769]) ).
fof(f12782,definition,
( spl79_95
<=> sF62 = sF66 ),
introduced(definition,[new_symbols(definition,[spl79_95])],[avatar_definition]) ).
fof(f12783,plain,
( sF62 != sF66
| spl79_95 ),
inference(avatar_component_clause,[],[f12782]) ).
fof(f12784,plain,
( sF62 = sF66
| ~ spl79_95 ),
inference(avatar_component_clause,[],[f12782]) ).
fof(f12799,definition,
( spl79_96
<=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF71 ),
introduced(definition,[new_symbols(definition,[spl79_96])],[avatar_definition]) ).
fof(f12800,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != sF71
| spl79_96 ),
inference(avatar_component_clause,[],[f12799]) ).
fof(f12801,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF71
| ~ spl79_96 ),
inference(avatar_component_clause,[],[f12799]) ).
fof(f12802,plain,
( spl79_96
| spl79_92 ),
inference(avatar_split_clause,[],[f12745,f12769,f12799]) ).
fof(f12804,definition,
( spl79_97
<=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF62 ),
introduced(definition,[new_symbols(definition,[spl79_97])],[avatar_definition]) ).
fof(f12805,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != sF62
| spl79_97 ),
inference(avatar_component_clause,[],[f12804]) ).
fof(f12806,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF62
| ~ spl79_97 ),
inference(avatar_component_clause,[],[f12804]) ).
fof(f12840,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF61,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62))
| sF61 = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62)
| ~ class_Orderings_Olinorder(tc_RealDef_Oreal)
| spl79_81 ),
inference(resolution,[],[f12302,f3544]) ).
fof(f12851,plain,
( sF61 = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62)
| ~ class_Orderings_Olinorder(tc_RealDef_Oreal)
| spl79_81
| spl79_83 ),
inference(forward_subsumption_resolution,[],[f12840,f12311]) ).
fof(f12859,plain,
( sF61 = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62)
| spl79_81
| spl79_83 ),
inference(forward_subsumption_resolution,[],[f12851,f4337]) ).
fof(f12868,plain,
( sF64 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,sF61,sF61)
| spl79_81
| spl79_83 ),
inference(superposition,[],[f7063,f12859]) ).
fof(f12872,plain,
( sF64 = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF66)
| spl79_81
| spl79_83 ),
inference(forward_demodulation,[],[f12868,f12176]) ).
fof(f13133,plain,
! [X0] :
( hAPP(hAPP(sF67,v_b),sF66) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,X0),X0)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(superposition,[],[f10698,f12082]) ).
fof(f13162,plain,
! [X0] :
( hAPP(hAPP(sF67,v_b),sF66) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X0))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(forward_demodulation,[],[f13133,f10686]) ).
fof(f13197,plain,
! [X0] :
( hAPP(sF68,sF66) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X0))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(forward_demodulation,[],[f13162,f4780]) ).
fof(f13243,plain,
! [X0] :
( sF66 = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X0),hAPP(sF68,sF66)))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(sF68,sF66)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(superposition,[],[f12095,f13197]) ).
fof(f13274,definition,
( spl79_103
<=> sF62 = hAPP(sF68,sF66) ),
introduced(definition,[new_symbols(definition,[spl79_103])],[avatar_definition]) ).
fof(f13275,plain,
( sF62 != hAPP(sF68,sF66)
| spl79_103 ),
inference(avatar_component_clause,[],[f13274]) ).
fof(f13276,plain,
( sF62 = hAPP(sF68,sF66)
| ~ spl79_103 ),
inference(avatar_component_clause,[],[f13274]) ).
fof(f13284,plain,
( ! [X0] :
( sF62 = hAPP(sF68,sF66)
| sF66 = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X0),hAPP(sF68,sF66)))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 )
| ~ spl79_97 ),
inference(forward_demodulation,[],[f13243,f12806]) ).
fof(f13291,plain,
( ! [X0] :
( sF62 = X0
| sF62 = hAPP(sF68,sF66)
| sF66 = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X0),hAPP(sF68,sF66))) )
| ~ spl79_97 ),
inference(forward_demodulation,[],[f13284,f12806]) ).
fof(f13293,definition,
( spl79_106
<=> ! [X0] :
( sF62 = X0
| sF66 = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X0),hAPP(sF68,sF66))) ) ),
introduced(definition,[new_symbols(definition,[spl79_106])],[avatar_definition]) ).
fof(f13294,plain,
( ! [X0] :
( sF62 = X0
| sF66 = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X0),hAPP(sF68,sF66))) )
| ~ spl79_106 ),
inference(avatar_component_clause,[],[f13293]) ).
fof(f13295,plain,
( spl79_103
| spl79_106
| ~ spl79_97 ),
inference(avatar_split_clause,[],[f13291,f12804,f13293,f13274]) ).
fof(f13420,plain,
! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,v_b),X0) = hAPP(hAPP(sF67,sF72),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF66,X0)),
inference(superposition,[],[f10685,f12264]) ).
fof(f13425,plain,
! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,v_b),X0) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF72,hAPP(sF68,X0))),
inference(forward_demodulation,[],[f13420,f12281]) ).
fof(f13431,plain,
! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,v_b),X0) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,hAPP(sF68,X0)),
inference(forward_demodulation,[],[f13425,f10762]) ).
fof(f13441,plain,
( sF66 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,v_b)))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,v_b) ),
inference(superposition,[],[f13431,f12075]) ).
fof(f13491,plain,
( sF66 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,hAPP(hAPP(sF67,sF73),sF66))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,v_b) ),
inference(forward_demodulation,[],[f13441,f12177]) ).
fof(f13505,definition,
( spl79_111
<=> c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,v_b) ),
introduced(definition,[new_symbols(definition,[spl79_111])],[avatar_definition]) ).
fof(f13507,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,v_b)
| ~ spl79_111 ),
inference(avatar_component_clause,[],[f13505]) ).
fof(f13509,definition,
( spl79_112
<=> sF66 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,hAPP(hAPP(sF67,sF73),sF66)) ),
introduced(definition,[new_symbols(definition,[spl79_112])],[avatar_definition]) ).
fof(f13511,plain,
( sF66 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,hAPP(hAPP(sF67,sF73),sF66))
| ~ spl79_112 ),
inference(avatar_component_clause,[],[f13509]) ).
fof(f13518,plain,
( spl79_111
| spl79_112 ),
inference(avatar_split_clause,[],[f13491,f13509,f13505]) ).
fof(f15106,definition,
( spl79_121
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF61,sF64) ),
introduced(definition,[new_symbols(definition,[spl79_121])],[avatar_definition]) ).
fof(f15107,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF61,sF64)
| ~ spl79_121 ),
inference(avatar_component_clause,[],[f15106]) ).
fof(f15108,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF61,sF64)
| spl79_121 ),
inference(avatar_component_clause,[],[f15106]) ).
fof(f15662,plain,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = X0,
inference(resolution,[],[f3439,f4371]) ).
fof(f15663,plain,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),sF66) = X0,
inference(forward_demodulation,[],[f15662,f4776]) ).
fof(f15664,plain,
! [X0] : hAPP(hAPP(sF67,X0),sF66) = X0,
inference(forward_demodulation,[],[f15663,f4778]) ).
fof(f15665,plain,
v_b = hAPP(sF68,sF66),
inference(superposition,[],[f15664,f4780]) ).
fof(f15672,plain,
sF62 = hAPP(sF68,sF63),
inference(superposition,[],[f12260,f15664]) ).
fof(f15673,plain,
sF72 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,v_b),
inference(superposition,[],[f12264,f15664]) ).
fof(f15675,plain,
! [X0] : hAPP(hAPP(sF67,sF66),X0) = X0,
inference(superposition,[],[f5706,f15664]) ).
fof(f15676,plain,
! [X2,X0,X1] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,hAPP(hAPP(sF67,X1),X2)) = hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1)),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF66,X2)),
inference(superposition,[],[f6979,f15664]) ).
fof(f15685,plain,
! [X0,X1] : hAPP(hAPP(sF67,X1),X0) = hAPP(hAPP(sF67,X1),hAPP(hAPP(sF67,sF66),X0)),
inference(superposition,[],[f7211,f15664]) ).
fof(f15690,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X0)),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X2,sF66)) = hAPP(hAPP(sF67,X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X2,X0)),
inference(superposition,[],[f10703,f15664]) ).
fof(f15692,plain,
! [X0] : hAPP(sF68,X0) = hAPP(sF68,hAPP(hAPP(sF67,sF66),X0)),
inference(superposition,[],[f7170,f15664]) ).
fof(f15693,plain,
! [X0,X1] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1) = hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF66,X1)),
inference(superposition,[],[f10848,f15664]) ).
fof(f15694,plain,
! [X0,X1] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,hAPP(sF68,X1))),
inference(forward_demodulation,[],[f15693,f12281]) ).
fof(f15696,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X2,X0)) = hAPP(hAPP(sF67,X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X2,sF66),X0)),
inference(forward_demodulation,[],[f15690,f10848]) ).
fof(f15704,plain,
! [X2,X0,X1] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,hAPP(hAPP(sF67,X1),X2)) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1),hAPP(sF68,X2))),
inference(forward_demodulation,[],[f15676,f12281]) ).
fof(f15705,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF72
| ~ spl79_111 ),
inference(forward_demodulation,[],[f15673,f13507]) ).
fof(f15711,plain,
! [X2,X0,X1] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,hAPP(hAPP(sF67,X1),X2)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1),X2),
inference(forward_demodulation,[],[f15704,f15694]) ).
fof(f15712,plain,
( $false
| spl79_71
| ~ spl79_111 ),
inference(forward_subsumption_resolution,[],[f15705,f12124]) ).
fof(f15713,plain,
( spl79_71
| ~ spl79_111 ),
inference(avatar_contradiction_clause,[],[f15712]) ).
fof(f16166,plain,
! [X0] : hAPP(hAPP(sF67,sF62),X0) = hAPP(sF68,hAPP(hAPP(sF67,X0),sF63)),
inference(superposition,[],[f7170,f15672]) ).
fof(f16167,plain,
! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,X0) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF63,X0)),
inference(superposition,[],[f10686,f15672]) ).
fof(f16187,plain,
! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,X0) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF66,X0)),
inference(superposition,[],[f10686,f15665]) ).
fof(f16188,plain,
( sF66 = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF66,v_b))
| v_b = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(superposition,[],[f12095,f15665]) ).
fof(f16197,plain,
sF66 = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF66,v_b)),
inference(forward_subsumption_resolution,[],[f16188,f2699]) ).
fof(f16204,plain,
sF66 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,v_b),
inference(forward_demodulation,[],[f16197,f16187]) ).
fof(f16214,plain,
( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,sF71) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,sF62)
| ~ spl79_92 ),
inference(superposition,[],[f12771,f16187]) ).
fof(f16486,plain,
( ! [X0] : hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,sF71)) = hAPP(hAPP(sF67,v_b),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF62))
| ~ spl79_92 ),
inference(superposition,[],[f10728,f16214]) ).
fof(f16488,plain,
( hAPP(hAPP(sF67,v_b),sF66) = hAPP(hAPP(sF67,sF62),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,sF71))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF62
| ~ spl79_92 ),
inference(superposition,[],[f12082,f16214]) ).
fof(f16497,plain,
( hAPP(hAPP(sF67,v_b),sF66) = hAPP(hAPP(sF67,sF62),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,sF71))
| ~ spl79_92
| spl79_97 ),
inference(forward_subsumption_resolution,[],[f16488,f12805]) ).
fof(f16499,plain,
( ! [X0] : hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,sF71)) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF62))
| ~ spl79_92 ),
inference(forward_demodulation,[],[f16486,f4780]) ).
fof(f16508,plain,
( v_b = hAPP(hAPP(sF67,sF62),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,sF71))
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f16497,f15664]) ).
fof(f16516,plain,
( v_b = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,sF62))
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f16508,f16499]) ).
fof(f16528,plain,
! [X0,X1] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b),X1) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,hAPP(sF68,X1)),
inference(superposition,[],[f15711,f4780]) ).
fof(f16547,plain,
! [X0,X1] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X0) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X0),sF66),
inference(superposition,[],[f15711,f15664]) ).
fof(f16955,definition,
( spl79_127
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF64,sF61) ),
introduced(definition,[new_symbols(definition,[spl79_127])],[avatar_definition]) ).
fof(f16956,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF64,sF61)
| spl79_127 ),
inference(avatar_component_clause,[],[f16955]) ).
fof(f16957,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF64,sF61)
| ~ spl79_127 ),
inference(avatar_component_clause,[],[f16955]) ).
fof(f17301,plain,
sF72 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF72,sF66),
inference(superposition,[],[f16547,f4788]) ).
fof(f17355,plain,
( sF66 = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,sF62),v_b))
| v_b = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ spl79_92
| spl79_97 ),
inference(superposition,[],[f12095,f16516]) ).
fof(f17364,plain,
( sF66 = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,sF62),v_b))
| ~ spl79_92
| spl79_97 ),
inference(forward_subsumption_resolution,[],[f17355,f2699]) ).
fof(f17372,plain,
( sF66 = hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,sF62)),sF66)
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f17364,f12177]) ).
fof(f17377,plain,
( sF66 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,sF62)
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f17372,f15664]) ).
fof(f17572,plain,
! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF66,X0) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,hAPP(sF68,X0)),
inference(superposition,[],[f16528,f16204]) ).
fof(f17575,plain,
! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF63,X0) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,hAPP(sF68,X0)),
inference(superposition,[],[f16528,f4770]) ).
fof(f17756,plain,
c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF63,sF63) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,sF62),
inference(superposition,[],[f17575,f15672]) ).
fof(f17930,plain,
c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF66,sF72) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,sF73),
inference(superposition,[],[f17572,f4790]) ).
fof(f18024,plain,
! [X0] : hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF66,sF72)) = hAPP(hAPP(sF67,v_b),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF73)),
inference(superposition,[],[f10728,f17930]) ).
fof(f18038,plain,
! [X0] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF73)) = hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF66,sF72)),
inference(forward_demodulation,[],[f18024,f4780]) ).
fof(f18049,plain,
! [X0] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF73)) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,hAPP(sF68,sF72))),
inference(forward_demodulation,[],[f18038,f12281]) ).
fof(f18059,plain,
! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF72) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF73)),
inference(forward_demodulation,[],[f18049,f15694]) ).
fof(f18103,plain,
c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF72,sF72) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,sF73),
inference(superposition,[],[f10762,f18059]) ).
fof(f19440,plain,
( ! [X0] : hAPP(hAPP(sF67,sF66),X0) = hAPP(hAPP(sF67,sF62),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF62))
| ~ spl79_92
| spl79_97 ),
inference(superposition,[],[f10848,f17377]) ).
fof(f19448,plain,
( ! [X0] : hAPP(hAPP(sF67,sF62),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF62)) = X0
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f19440,f15675]) ).
fof(f20135,plain,
( sF71 = hAPP(hAPP(sF67,sF62),sF72)
| ~ spl79_92
| spl79_97 ),
inference(superposition,[],[f19448,f4788]) ).
fof(f20235,definition,
( spl79_148
<=> sF63 = sF71 ),
introduced(definition,[new_symbols(definition,[spl79_148])],[avatar_definition]) ).
fof(f20236,plain,
( sF63 != sF71
| spl79_148 ),
inference(avatar_component_clause,[],[f20235]) ).
fof(f21371,plain,
! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF63) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF62)),
inference(superposition,[],[f15694,f15672]) ).
fof(f21372,plain,
! [X0] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF66),
inference(superposition,[],[f15694,f15665]) ).
fof(f21837,plain,
( ! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF66) = hAPP(hAPP(sF67,sF62),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF62))
| ~ spl79_92
| spl79_97 ),
inference(superposition,[],[f19448,f15696]) ).
fof(f21902,plain,
( ! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF66) = X0
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f21837,f19448]) ).
fof(f22329,plain,
! [X0,X1] :
( hAPP(hAPP(sF67,X0),sF66) = hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1),sF66))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(hAPP(sF67,sF66),X1) ),
inference(superposition,[],[f15685,f12141]) ).
fof(f22412,plain,
! [X0,X1] :
( hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1)) = hAPP(hAPP(sF67,X0),sF66)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(hAPP(sF67,sF66),X1) ),
inference(forward_demodulation,[],[f22329,f16547]) ).
fof(f22444,plain,
! [X0,X1] :
( hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1)) = X0
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = hAPP(hAPP(sF67,sF66),X1) ),
inference(forward_demodulation,[],[f22412,f15664]) ).
fof(f22460,plain,
! [X0,X1] :
( hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1)) = X0
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 ),
inference(forward_demodulation,[],[f22444,f15675]) ).
fof(f22545,plain,
! [X0] : hAPP(hAPP(sF67,X0),sF66) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF66),
inference(forward_demodulation,[],[f21372,f12177]) ).
fof(f23702,plain,
( sF66 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,sF73),sF66)
| ~ spl79_112 ),
inference(forward_demodulation,[],[f13511,f15711]) ).
fof(f23804,plain,
( sF66 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,sF73)
| ~ spl79_112 ),
inference(forward_demodulation,[],[f23702,f16547]) ).
fof(f23940,plain,
( ! [X0] : c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),sF64) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF66))
| spl79_81
| spl79_83 ),
inference(superposition,[],[f6978,f12872]) ).
fof(f23944,plain,
( ! [X0] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),sF64)
| spl79_81
| spl79_83
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f23940,f21902]) ).
fof(f24737,definition,
( spl79_155
<=> ! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,X0) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,X0)) ),
introduced(definition,[new_symbols(definition,[spl79_155])],[avatar_definition]) ).
fof(f24738,plain,
( ! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,X0) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,X0))
| ~ spl79_155 ),
inference(avatar_component_clause,[],[f24737]) ).
fof(f25275,plain,
( sF63 != sF71
| ~ spl79_76
| spl79_96 ),
inference(forward_demodulation,[],[f12800,f12155]) ).
fof(f25276,plain,
( sF62 = sF63
| ~ spl79_76
| ~ spl79_97 ),
inference(forward_demodulation,[],[f12806,f12155]) ).
fof(f25516,plain,
( ! [X0] :
( sF66 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X0),sF66)
| sF62 = X0 )
| ~ spl79_106 ),
inference(forward_demodulation,[],[f13294,f15694]) ).
fof(f25568,plain,
( ! [X0] :
( sF66 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X0)
| sF62 = X0 )
| ~ spl79_106 ),
inference(forward_demodulation,[],[f25516,f16547]) ).
fof(f25723,plain,
( sF66 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF72,sF72)
| ~ spl79_112 ),
inference(forward_demodulation,[],[f23804,f18103]) ).
fof(f25727,plain,
! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF66) = X0,
inference(forward_demodulation,[],[f22545,f15664]) ).
fof(f27439,plain,
( ! [X0] : hAPP(hAPP(sF67,sF66),X0) = hAPP(hAPP(sF67,sF72),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF72))
| ~ spl79_112 ),
inference(superposition,[],[f10848,f25723]) ).
fof(f28104,plain,
! [X0,X1] :
( hAPP(hAPP(sF67,X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1)) = X0
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X1 ),
inference(superposition,[],[f10728,f22460]) ).
fof(f28107,plain,
! [X0] :
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),sF63)),sF64)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF63 ),
inference(superposition,[],[f10708,f22460]) ).
fof(f28164,plain,
( ! [X0] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),sF63)),sF64)
| spl79_76 ),
inference(forward_subsumption_resolution,[],[f28107,f12154]) ).
fof(f28215,plain,
( ! [X0] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),sF63))
| spl79_76
| spl79_81
| spl79_83
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f28164,f23944]) ).
fof(f28295,plain,
! [X0] : hAPP(hAPP(sF67,sF73),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF73)) = hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF72,sF72)),X0),
inference(superposition,[],[f10848,f18103]) ).
fof(f28307,plain,
! [X0] : hAPP(hAPP(sF67,sF73),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF73)) = hAPP(hAPP(sF67,sF72),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF72)),
inference(forward_demodulation,[],[f28295,f10848]) ).
fof(f28410,plain,
( ! [X0,X1] :
( hAPP(hAPP(sF67,X0),sF66) = hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,sF66)))
| sF62 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,sF66) )
| ~ spl79_106 ),
inference(superposition,[],[f15696,f25568]) ).
fof(f28653,plain,
( ! [X0,X1] :
( hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1)) = hAPP(hAPP(sF67,X0),sF66)
| sF62 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,sF66) )
| ~ spl79_106 ),
inference(forward_demodulation,[],[f28410,f25727]) ).
fof(f28681,plain,
( ! [X0,X1] :
( hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1)) = X0
| sF62 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,sF66) )
| ~ spl79_106 ),
inference(forward_demodulation,[],[f28653,f15664]) ).
fof(f28697,plain,
( ! [X0,X1] :
( hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,X1)) = X0
| sF62 = X1 )
| ~ spl79_106 ),
inference(forward_demodulation,[],[f28681,f25727]) ).
fof(f33081,plain,
( ! [X0] :
( hAPP(sF68,sF66) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X0))
| sF62 = X0 )
| ~ spl79_106 ),
inference(superposition,[],[f15692,f28697]) ).
fof(f33121,plain,
( ! [X0] :
( v_b = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X0))
| sF62 = X0 )
| ~ spl79_106 ),
inference(forward_demodulation,[],[f33081,f15665]) ).
fof(f33660,plain,
! [X0] : hAPP(hAPP(sF67,sF63),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF63)) = hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,sF62)),X0),
inference(superposition,[],[f10848,f17756]) ).
fof(f33673,plain,
! [X0] : hAPP(hAPP(sF67,sF63),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF63)) = hAPP(hAPP(sF67,sF62),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF62)),
inference(forward_demodulation,[],[f33660,f10848]) ).
fof(f35237,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(sF65,X0),hAPP(sF65,X1))
| hAPP(sF65,X1) = hAPP(sF65,X0)
| ~ class_Orderings_Olinorder(tc_RealDef_Oreal) ),
inference(resolution,[],[f5484,f3544]) ).
fof(f35262,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| hAPP(sF65,X1) = hAPP(sF65,X0)
| ~ class_Orderings_Olinorder(tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f35237,f5484]) ).
fof(f35275,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| hAPP(sF65,X1) = hAPP(sF65,X0) ),
inference(forward_subsumption_resolution,[],[f35262,f4337]) ).
fof(f35287,plain,
! [X0,X1] :
( hAPP(sF65,X1) = X0
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
inference(forward_demodulation,[],[f35275,f5879]) ).
fof(f35299,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
| X0 = X1 ),
inference(forward_demodulation,[],[f35287,f5879]) ).
fof(f35918,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF61,sF64)
| sF61 = sF64
| spl79_127 ),
inference(resolution,[],[f16956,f35299]) ).
fof(f35937,plain,
( sF61 = sF64
| spl79_121
| spl79_127 ),
inference(forward_subsumption_resolution,[],[f35918,f15108]) ).
fof(f43755,plain,
( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,v_b) = hAPP(hAPP(sF67,sF71),sF66)
| ~ spl79_155 ),
inference(superposition,[],[f24738,f12177]) ).
fof(f43799,plain,
( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,v_b) = sF71
| ~ spl79_155 ),
inference(forward_demodulation,[],[f43755,f15664]) ).
fof(f46768,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF64,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF66))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(sF65,sF61),sF61)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sF61) ),
inference(superposition,[],[f4972,f12176]) ).
fof(f46774,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF64,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF66))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(sF65,sF61),sF61)
| ~ spl79_45 ),
inference(forward_subsumption_resolution,[],[f46768,f7094]) ).
fof(f52372,plain,
! [X0] : hAPP(hAPP(sF67,hAPP(sF68,X0)),sF63) = hAPP(hAPP(sF67,sF62),hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b))),
inference(superposition,[],[f10817,f10686]) ).
fof(f52462,plain,
! [X0] : hAPP(hAPP(sF67,hAPP(sF68,X0)),sF63) = hAPP(sF68,hAPP(hAPP(sF67,sF62),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b))),
inference(forward_demodulation,[],[f52372,f7134]) ).
fof(f52508,plain,
! [X0] : hAPP(hAPP(sF67,hAPP(sF68,X0)),sF63) = hAPP(hAPP(sF67,sF62),hAPP(hAPP(sF67,X0),sF66)),
inference(forward_demodulation,[],[f52462,f12269]) ).
fof(f52545,plain,
! [X0] : hAPP(hAPP(sF67,hAPP(sF68,X0)),sF63) = hAPP(sF68,hAPP(hAPP(sF67,X0),sF63)),
inference(forward_demodulation,[],[f52508,f12515]) ).
fof(f52565,plain,
! [X0] : hAPP(hAPP(sF67,sF62),X0) = hAPP(hAPP(sF67,hAPP(sF68,X0)),sF63),
inference(forward_demodulation,[],[f52545,f16166]) ).
fof(f53901,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF66),sF64)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF61,hAPP(sF65,sF61))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sF61) ),
inference(superposition,[],[f4970,f12176]) ).
fof(f57560,plain,
! [X0] :
( sK7(sF65,X0) != hAPP(X0,sK7(sF65,X0))
| sF65 = X0 ),
inference(superposition,[],[f2697,f5879]) ).
fof(f57588,plain,
( sK7(sF65,hAPP(sF67,sF66)) != sK7(sF65,hAPP(sF67,sF66))
| sF65 = hAPP(sF67,sF66) ),
inference(superposition,[],[f57560,f15675]) ).
fof(f57590,plain,
sF65 = hAPP(sF67,sF66),
inference(trivial_inequality_removal,[],[f57588]) ).
fof(f60893,plain,
( sF65 = hAPP(sF67,sF62)
| ~ spl79_95 ),
inference(forward_demodulation,[],[f57590,f12784]) ).
fof(f63314,plain,
( v_b = sF62
| ~ spl79_103 ),
inference(forward_demodulation,[],[f13276,f15665]) ).
fof(f63873,plain,
! [X0] : hAPP(hAPP(sF67,sF62),X0) = hAPP(sF68,hAPP(hAPP(sF67,sF63),X0)),
inference(forward_demodulation,[],[f52565,f7170]) ).
fof(f69884,plain,
( v_b != sF62
| spl79_103 ),
inference(forward_demodulation,[],[f13275,f15665]) ).
fof(f73809,plain,
( v_b = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,sF63)
| sF62 = sF63
| ~ spl79_106 ),
inference(superposition,[],[f33121,f16167]) ).
fof(f90775,plain,
! [X2,X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X0),X2)),
inference(resolution,[],[f2830,f4357]) ).
fof(f90778,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),X1),hAPP(hAPP(sF67,X0),X2)),
inference(forward_demodulation,[],[f90775,f4778]) ).
fof(f90780,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,X1),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X2)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),X1),hAPP(hAPP(sF67,X1),X2)),
inference(superposition,[],[f90778,f5706]) ).
fof(f90791,plain,
! [X0,X1] : hAPP(hAPP(sF67,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_b,X1)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(sF68,X0),hAPP(hAPP(sF67,X0),X1)),
inference(superposition,[],[f90778,f5708]) ).
fof(f90813,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,hAPP(hAPP(sF67,X0),X1)) = hAPP(hAPP(sF67,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF66,X1)),
inference(superposition,[],[f90778,f15664]) ).
fof(f90836,plain,
! [X0,X1] : hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X1)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(sF68,X0),hAPP(sF68,X1)),
inference(superposition,[],[f90778,f4780]) ).
fof(f90839,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,X1),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X2,X0)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X1),X2),hAPP(hAPP(sF67,X0),X1)),
inference(superposition,[],[f90778,f5706]) ).
fof(f90850,plain,
! [X0,X1] : hAPP(hAPP(sF67,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,v_b)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),X1),hAPP(sF68,X0)),
inference(superposition,[],[f90778,f5708]) ).
fof(f90898,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),X2),hAPP(hAPP(sF67,X0),X1)),
inference(superposition,[],[f6245,f90778]) ).
fof(f90921,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2)) = hAPP(hAPP(sF67,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X2,X1)),
inference(forward_demodulation,[],[f90898,f90778]) ).
fof(f91304,plain,
! [X2,X0,X1] : hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,hAPP(sF68,X1)),X2)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1),hAPP(sF68,X2)),
inference(superposition,[],[f90836,f15694]) ).
fof(f91325,plain,
! [X0] : hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,X0)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF62,hAPP(sF68,X0)),
inference(superposition,[],[f90836,f15672]) ).
fof(f92930,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2)) = hAPP(hAPP(sF67,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X2,X1)),X0),
inference(superposition,[],[f5706,f90921]) ).
fof(f93130,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,X1)),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X2)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,X0),X1),hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,X1)),X2)),
inference(superposition,[],[f90780,f10698]) ).
fof(f93179,plain,
! [X0,X1] : hAPP(hAPP(sF67,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,v_b)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X1),X0),hAPP(sF68,X0)),
inference(superposition,[],[f90780,f5708]) ).
fof(f93342,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,X1)),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X2)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,X0),X1),hAPP(hAPP(sF67,v_b),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X2,X1))),
inference(forward_demodulation,[],[f93130,f10848]) ).
fof(f93424,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,X1)),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X2)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,X0),X1),hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X2,X1))),
inference(forward_demodulation,[],[f93342,f4780]) ).
fof(f93486,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,X1)),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X2)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1)),hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X2,X1))),
inference(forward_demodulation,[],[f93424,f10686]) ).
fof(f93528,plain,
! [X2,X0,X1] : hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,X1)),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X2)) = hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X2,X1))),
inference(forward_demodulation,[],[f93486,f90836]) ).
fof(f93552,plain,
! [X2,X0,X1] : hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X2,X1))) = hAPP(hAPP(sF67,v_b),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X2),X1)),
inference(forward_demodulation,[],[f93528,f10848]) ).
fof(f93563,plain,
! [X2,X0,X1] : hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,X1),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X2,X1))) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X2),X1)),
inference(forward_demodulation,[],[f93552,f4780]) ).
fof(f93590,plain,
! [X0,X1] : hAPP(hAPP(sF67,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_b,X1)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(sF68,X0),hAPP(hAPP(sF67,X1),X0)),
inference(superposition,[],[f90839,f5708]) ).
fof(f93614,plain,
! [X0,X1] : hAPP(hAPP(sF67,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF66,X1)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,hAPP(hAPP(sF67,X1),X0)),
inference(superposition,[],[f90839,f15664]) ).
fof(f93701,plain,
! [X0,X1] : hAPP(hAPP(sF67,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X1)) = hAPP(hAPP(sF67,X1),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X0)),
inference(superposition,[],[f90780,f90839]) ).
fof(f96155,plain,
! [X0] : hAPP(hAPP(sF67,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_b,v_b)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(sF68,X0),hAPP(sF68,X0)),
inference(superposition,[],[f90791,f5708]) ).
fof(f96262,plain,
! [X0] : hAPP(hAPP(sF67,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_b,v_b)) = hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X0)),
inference(forward_demodulation,[],[f96155,f90836]) ).
fof(f96883,plain,
hAPP(hAPP(sF67,sF62),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF66,v_b)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(sF68,sF63),hAPP(sF68,sF62)),
inference(superposition,[],[f90850,f12260]) ).
fof(f97018,plain,
hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF62)) = hAPP(hAPP(sF67,sF62),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF66,v_b)),
inference(forward_demodulation,[],[f96883,f90836]) ).
fof(f97102,plain,
( hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF62)) = hAPP(hAPP(sF67,sF62),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF62,v_b))
| ~ spl79_95 ),
inference(forward_demodulation,[],[f97018,f12784]) ).
fof(f97162,plain,
( hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF62)) = hAPP(sF65,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF62,v_b))
| ~ spl79_95 ),
inference(forward_demodulation,[],[f97102,f60893]) ).
fof(f97210,plain,
( hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF62)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF62,v_b)
| ~ spl79_95 ),
inference(forward_demodulation,[],[f97162,f5879]) ).
fof(f97997,definition,
( spl79_271
<=> sF62 = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF62) ),
introduced(definition,[new_symbols(definition,[spl79_271])],[avatar_definition]) ).
fof(f97999,plain,
( sF62 = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF62)
| ~ spl79_271 ),
inference(avatar_component_clause,[],[f97997]) ).
fof(f99610,plain,
hAPP(hAPP(sF67,sF66),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF62,v_b)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(sF68,sF63),hAPP(sF68,sF66)),
inference(superposition,[],[f93179,f12260]) ).
fof(f99757,plain,
hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF66)) = hAPP(hAPP(sF67,sF66),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF62,v_b)),
inference(forward_demodulation,[],[f99610,f90836]) ).
fof(f99855,plain,
hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF66)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF62,v_b),
inference(forward_demodulation,[],[f99757,f15675]) ).
fof(f102172,plain,
! [X0,X1] : hAPP(hAPP(sF67,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X1)) = hAPP(hAPP(sF67,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X0)),X1),
inference(superposition,[],[f5706,f93701]) ).
fof(f159859,plain,
hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,sF66)),sF72) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,sF71),sF62),
inference(superposition,[],[f7025,f15675]) ).
fof(f159966,plain,
hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,sF62)) = hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,v_b,sF66)),sF72),
inference(forward_demodulation,[],[f159859,f10686]) ).
fof(f171318,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = X0,
inference(resolution,[],[f3428,f4371]) ).
fof(f171320,plain,
( ! [X0] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF66) = X0
| ~ spl79_87 ),
inference(forward_demodulation,[],[f171318,f12643]) ).
fof(f171321,plain,
( ! [X0] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF62) = X0
| ~ spl79_87
| ~ spl79_95 ),
inference(forward_demodulation,[],[f171320,f12784]) ).
fof(f171331,plain,
( ! [X0] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF62,X0) = X0
| ~ spl79_87
| ~ spl79_95 ),
inference(superposition,[],[f6245,f171321]) ).
fof(f171341,plain,
( hAPP(sF68,sF63) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF62,v_b)
| ~ spl79_87
| ~ spl79_95 ),
inference(superposition,[],[f97210,f171321]) ).
fof(f171376,plain,
( sF62 = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF62,v_b)
| ~ spl79_87
| ~ spl79_95 ),
inference(forward_demodulation,[],[f171341,f15672]) ).
fof(f171394,plain,
( v_b = sF62
| ~ spl79_87
| ~ spl79_95 ),
inference(forward_demodulation,[],[f171376,f171331]) ).
fof(f171401,plain,
( $false
| ~ spl79_87
| ~ spl79_95
| spl79_103 ),
inference(forward_subsumption_resolution,[],[f171394,f69884]) ).
fof(f171402,plain,
( ~ spl79_87
| ~ spl79_95
| spl79_103 ),
inference(avatar_contradiction_clause,[],[f171401]) ).
fof(f192214,plain,
( c_RealVector_Oof__real(tc_Complex_Ocomplex,sF61) = sF66
| spl79_121
| spl79_127 ),
inference(superposition,[],[f9676,f35937]) ).
fof(f192258,plain,
( sF62 = sF66
| spl79_121
| spl79_127 ),
inference(forward_demodulation,[],[f192214,f4768]) ).
fof(f192285,plain,
( $false
| spl79_95
| spl79_121
| spl79_127 ),
inference(forward_subsumption_resolution,[],[f192258,f12783]) ).
fof(f192286,plain,
( spl79_95
| spl79_121
| spl79_127 ),
inference(avatar_contradiction_clause,[],[f192285]) ).
fof(f192710,definition,
( spl79_396
<=> sF61 = sF64 ),
introduced(definition,[new_symbols(definition,[spl79_396])],[avatar_definition]) ).
fof(f192711,plain,
( sF61 != sF64
| spl79_396 ),
inference(avatar_component_clause,[],[f192710]) ).
fof(f192712,plain,
( sF61 = sF64
| ~ spl79_396 ),
inference(avatar_component_clause,[],[f192710]) ).
fof(f203764,plain,
( ! [X0] : hAPP(hAPP(sF67,sF66),X0) = hAPP(hAPP(sF67,sF66),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X0))
| ~ spl79_87 ),
inference(superposition,[],[f102172,f171320]) ).
fof(f203772,plain,
( ! [X0,X1] : hAPP(hAPP(sF67,X0),X1) = hAPP(hAPP(sF67,X1),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF66,X0))
| ~ spl79_87 ),
inference(superposition,[],[f92930,f171320]) ).
fof(f203810,plain,
( ! [X0] : hAPP(hAPP(sF67,sF66),X0) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X0)
| ~ spl79_87 ),
inference(forward_demodulation,[],[f203764,f15675]) ).
fof(f204265,plain,
( ! [X0] : hAPP(hAPP(sF67,sF72),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF72)) = X0
| ~ spl79_112 ),
inference(forward_demodulation,[],[f27439,f15675]) ).
fof(f204860,plain,
hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,sF62)) = hAPP(hAPP(sF67,v_b),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF72,sF66)),
inference(forward_demodulation,[],[f159966,f10848]) ).
fof(f205807,plain,
hAPP(hAPP(sF67,v_b),sF72) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,sF62)),
inference(forward_demodulation,[],[f204860,f17301]) ).
fof(f207673,plain,
hAPP(hAPP(sF67,v_b),sF72) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,sF63),
inference(forward_demodulation,[],[f205807,f21371]) ).
fof(f209111,plain,
hAPP(sF68,sF72) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,sF63),
inference(forward_demodulation,[],[f207673,f4780]) ).
fof(f209443,plain,
( ! [X0] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X0) = X0
| ~ spl79_87 ),
inference(forward_demodulation,[],[f203810,f15675]) ).
fof(f213737,plain,
! [X0] : hAPP(hAPP(sF67,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF66,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_b,v_b))) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X0))),
inference(superposition,[],[f90813,f96262]) ).
fof(f213849,plain,
( ! [X0] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,hAPP(sF68,X0)) = hAPP(hAPP(sF67,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF66,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_b,v_b)))
| ~ spl79_87 ),
inference(forward_demodulation,[],[f213737,f209443]) ).
fof(f213924,plain,
( ! [X0] : hAPP(hAPP(sF67,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_b,v_b)),X0) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,hAPP(sF68,X0))
| ~ spl79_87 ),
inference(forward_demodulation,[],[f213849,f203772]) ).
fof(f213985,plain,
( ! [X0] : hAPP(hAPP(sF67,v_b),X0) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,hAPP(sF68,X0))
| ~ spl79_87 ),
inference(forward_demodulation,[],[f213924,f209443]) ).
fof(f214027,plain,
( ! [X0] : hAPP(sF68,X0) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,hAPP(sF68,X0))
| ~ spl79_87 ),
inference(forward_demodulation,[],[f213985,f4780]) ).
fof(f215347,plain,
( sF62 = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF62)
| ~ spl79_87 ),
inference(superposition,[],[f214027,f15672]) ).
fof(f218613,plain,
( spl79_271
| ~ spl79_87 ),
inference(avatar_split_clause,[],[f215347,f12641,f97997]) ).
fof(f226896,plain,
( sF63 != sF73
| spl79_69
| ~ spl79_76 ),
inference(forward_demodulation,[],[f12115,f12155]) ).
fof(f227775,definition,
( spl79_532
<=> sF62 = hAPP(sF68,sF62) ),
introduced(definition,[new_symbols(definition,[spl79_532])],[avatar_definition]) ).
fof(f227776,plain,
( sF62 != hAPP(sF68,sF62)
| spl79_532 ),
inference(avatar_component_clause,[],[f227775]) ).
fof(f227777,plain,
( sF62 = hAPP(sF68,sF62)
| ~ spl79_532 ),
inference(avatar_component_clause,[],[f227775]) ).
fof(f227832,plain,
( sF64 = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62)
| ~ spl79_76
| ~ spl79_97 ),
inference(superposition,[],[f4772,f25276]) ).
fof(f227983,plain,
( sF61 = sF64
| ~ spl79_76
| spl79_81
| spl79_83
| ~ spl79_97 ),
inference(forward_demodulation,[],[f227832,f12859]) ).
fof(f229893,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(sF65,sF61),sF61)
| ~ spl79_45
| ~ spl79_82 ),
inference(forward_subsumption_resolution,[],[f46774,f12306]) ).
fof(f230484,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF61,sF61)
| ~ spl79_45
| ~ spl79_82 ),
inference(forward_demodulation,[],[f229893,f5879]) ).
fof(f230880,plain,
( $false
| ~ spl79_45
| ~ spl79_82 ),
inference(forward_subsumption_resolution,[],[f230484,f4615]) ).
fof(f230881,plain,
( ~ spl79_45
| ~ spl79_82 ),
inference(avatar_contradiction_clause,[],[f230880]) ).
fof(f231391,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF64,sF61)
| ~ spl79_76
| spl79_81
| ~ spl79_97 ),
inference(forward_demodulation,[],[f12302,f227832]) ).
fof(f231438,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF66),sF64)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF61,hAPP(sF65,sF61))
| ~ spl79_45 ),
inference(forward_subsumption_resolution,[],[f53901,f7094]) ).
fof(f231453,plain,
( $false
| ~ spl79_76
| spl79_81
| ~ spl79_97
| ~ spl79_127 ),
inference(forward_subsumption_resolution,[],[f231391,f16957]) ).
fof(f231454,plain,
( ~ spl79_76
| spl79_81
| ~ spl79_97
| ~ spl79_127 ),
inference(avatar_contradiction_clause,[],[f231453]) ).
fof(f231762,plain,
( ~ spl79_148
| ~ spl79_76
| spl79_96 ),
inference(avatar_split_clause,[],[f25275,f12799,f12153,f20235]) ).
fof(f231800,plain,
sF73 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,sF63),
inference(forward_demodulation,[],[f209111,f4790]) ).
fof(f231839,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF61,hAPP(sF65,sF61))
| ~ spl79_45
| ~ spl79_84 ),
inference(forward_subsumption_resolution,[],[f231438,f12315]) ).
fof(f232130,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF61,sF61)
| ~ spl79_45
| ~ spl79_84 ),
inference(forward_demodulation,[],[f231839,f5879]) ).
fof(f232242,plain,
( $false
| ~ spl79_45
| ~ spl79_84 ),
inference(forward_subsumption_resolution,[],[f232130,f4615]) ).
fof(f232243,plain,
( ~ spl79_45
| ~ spl79_84 ),
inference(avatar_contradiction_clause,[],[f232242]) ).
fof(f233219,plain,
( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62),sF61) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,sF62),sF66))
| ~ spl79_532 ),
inference(superposition,[],[f12184,f227777]) ).
fof(f233267,plain,
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62),sF61)
| ~ spl79_532 ),
inference(forward_demodulation,[],[f233219,f15664]) ).
fof(f233280,plain,
( sF64 = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF62)
| ~ spl79_532 ),
inference(forward_demodulation,[],[f233267,f7063]) ).
fof(f233286,plain,
( sF61 = sF64
| spl79_81
| spl79_83
| ~ spl79_532 ),
inference(forward_demodulation,[],[f233280,f12859]) ).
fof(f233291,plain,
( $false
| spl79_81
| spl79_83
| spl79_396
| ~ spl79_532 ),
inference(forward_subsumption_resolution,[],[f233286,f192711]) ).
fof(f233292,plain,
( spl79_81
| spl79_83
| spl79_396
| ~ spl79_532 ),
inference(avatar_contradiction_clause,[],[f233291]) ).
fof(f237596,plain,
( ! [X0] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF63) = X0
| ~ spl79_76 ),
inference(superposition,[],[f171318,f12155]) ).
fof(f237605,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X0) = X0,
inference(superposition,[],[f6245,f171318]) ).
fof(f237654,plain,
( ! [X0] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,X0) = X0
| ~ spl79_76 ),
inference(forward_demodulation,[],[f237605,f12155]) ).
fof(f242867,plain,
( ! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,sF71),X0) = hAPP(hAPP(sF67,sF62),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,sF72),X0))
| ~ spl79_92
| spl79_97 ),
inference(superposition,[],[f10697,f20135]) ).
fof(f242913,plain,
( ! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,sF71),X0) = hAPP(hAPP(sF67,sF62),hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF72,X0)))
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f242867,f10686]) ).
fof(f242934,plain,
( ! [X0] : hAPP(sF68,hAPP(hAPP(sF67,sF62),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF72,X0))) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,sF71),X0)
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f242913,f7134]) ).
fof(f242947,plain,
( ! [X0] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,X0)) = hAPP(sF68,hAPP(hAPP(sF67,sF62),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF72,X0)))
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f242934,f10686]) ).
fof(f242957,plain,
( ! [X0] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,X0)) = hAPP(hAPP(sF67,sF62),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,X0))
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f242947,f10787]) ).
fof(f243382,plain,
( sF71 = hAPP(hAPP(sF67,sF63),sF73)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF63 ),
inference(superposition,[],[f28104,f231800]) ).
fof(f266978,plain,
( hAPP(sF68,sF66) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF62,v_b)
| ~ spl79_76 ),
inference(superposition,[],[f99855,f237654]) ).
fof(f267047,plain,
( v_b = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF62,v_b)
| ~ spl79_76 ),
inference(forward_demodulation,[],[f266978,f15665]) ).
fof(f267129,plain,
( ! [X0] : hAPP(hAPP(sF67,v_b),X0) = hAPP(hAPP(sF67,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_b,sF62))
| ~ spl79_76 ),
inference(superposition,[],[f92930,f267047]) ).
fof(f267160,plain,
( ! [X0] : hAPP(sF68,X0) = hAPP(hAPP(sF67,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_b,sF62))
| ~ spl79_76 ),
inference(forward_demodulation,[],[f267129,f4780]) ).
fof(f270807,plain,
( sF62 = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,sF73))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF73
| ~ spl79_92
| spl79_97 ),
inference(superposition,[],[f22460,f242957]) ).
fof(f270865,plain,
( ! [X0] : hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,X0)),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_b,sF62)) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,X0)),hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,X0)))
| ~ spl79_92
| spl79_97 ),
inference(superposition,[],[f93590,f242957]) ).
fof(f270880,plain,
( ! [X0] : hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,X0)),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_b,sF62)) = hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,X0)))
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f270865,f90836]) ).
fof(f270930,plain,
( sF62 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,sF72)
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF73
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f270807,f18059]) ).
fof(f270968,plain,
( ! [X0] : hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF73,X0)),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_b,sF62)) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF73,sF71),X0))
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f270880,f93563]) ).
fof(f271013,definition,
( spl79_694
<=> sF62 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,sF72) ),
introduced(definition,[new_symbols(definition,[spl79_694])],[avatar_definition]) ).
fof(f271015,plain,
( sF62 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,sF72)
| ~ spl79_694 ),
inference(avatar_component_clause,[],[f271013]) ).
fof(f271020,plain,
( sF63 = sF73
| sF62 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,sF72)
| ~ spl79_76
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f270930,f12155]) ).
fof(f271077,plain,
( sF62 = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,sF72)
| spl79_69
| ~ spl79_76
| ~ spl79_92
| spl79_97 ),
inference(forward_subsumption_resolution,[],[f271020,f226896]) ).
fof(f271113,plain,
( spl79_694
| spl79_69
| ~ spl79_76
| ~ spl79_92
| spl79_97 ),
inference(avatar_split_clause,[],[f271077,f12804,f12769,f12153,f12114,f271013]) ).
fof(f271176,plain,
( ! [X0] : hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b)),sF62) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),sF71),hAPP(sF68,sF72))
| ~ spl79_694 ),
inference(superposition,[],[f6984,f271015]) ).
fof(f271243,plain,
( ! [X0] : hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b)),sF62) = hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,hAPP(sF68,sF72)))
| ~ spl79_694 ),
inference(forward_demodulation,[],[f271176,f10685]) ).
fof(f271269,plain,
( ! [X0] : hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b)),sF62) = hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,sF73))
| ~ spl79_694 ),
inference(forward_demodulation,[],[f271243,f4790]) ).
fof(f271283,plain,
( ! [X0] : hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,v_b)) = hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,sF73))
| ~ spl79_694 ),
inference(forward_demodulation,[],[f271269,f10848]) ).
fof(f271292,plain,
( ! [X0] : hAPP(hAPP(sF67,X0),sF63) = hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,sF73))
| ~ spl79_694 ),
inference(forward_demodulation,[],[f271283,f4770]) ).
fof(f271334,plain,
( ! [X0] : hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b)),sF63) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(hAPP(sF67,X0),sF71),hAPP(sF68,sF73))
| ~ spl79_694 ),
inference(superposition,[],[f6984,f271292]) ).
fof(f271493,plain,
( ! [X0] : hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,v_b)),sF63) = hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,hAPP(sF68,sF73)))
| ~ spl79_694 ),
inference(forward_demodulation,[],[f271334,f10685]) ).
fof(f271584,plain,
( ! [X0] : hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF63,v_b)) = hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,hAPP(sF68,sF73)))
| ~ spl79_694 ),
inference(forward_demodulation,[],[f271493,f10848]) ).
fof(f273073,plain,
( hAPP(sF65,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF63,v_b)) = hAPP(sF65,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,hAPP(sF68,sF73)))
| ~ spl79_694 ),
inference(superposition,[],[f271584,f57590]) ).
fof(f273296,plain,
( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,hAPP(sF68,sF73)) = hAPP(sF65,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF63,v_b))
| ~ spl79_694 ),
inference(forward_demodulation,[],[f273073,f5879]) ).
fof(f273388,plain,
( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF63,v_b) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,hAPP(sF68,sF73))
| ~ spl79_694 ),
inference(forward_demodulation,[],[f273296,f5879]) ).
fof(f273698,plain,
( ! [X0] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF71),hAPP(sF68,sF73))) = hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,hAPP(sF68,sF73)),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF63,v_b)))
| ~ spl79_694 ),
inference(superposition,[],[f93563,f273388]) ).
fof(f273715,plain,
( ! [X0] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF71),hAPP(sF68,sF73))) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF73),hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF63,v_b)))
| ~ spl79_694 ),
inference(forward_demodulation,[],[f273698,f91304]) ).
fof(f273760,plain,
( ! [X0] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF71),hAPP(sF68,sF73))) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF73),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,v_b))
| ~ spl79_694 ),
inference(forward_demodulation,[],[f273715,f16167]) ).
fof(f273797,plain,
( ! [X0] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF73),sF63) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF71),hAPP(sF68,sF73)))
| ~ spl79_694 ),
inference(forward_demodulation,[],[f273760,f4770]) ).
fof(f273831,plain,
( ! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF71),sF73) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF73),sF63)
| ~ spl79_694 ),
inference(forward_demodulation,[],[f273797,f15694]) ).
fof(f273857,plain,
( ! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF73) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF71),sF73)
| ~ spl79_76
| ~ spl79_694 ),
inference(forward_demodulation,[],[f273831,f237596]) ).
fof(f273935,plain,
( ! [X0] :
( c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF71) = hAPP(hAPP(sF67,sF73),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF73))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF73 )
| ~ spl79_76
| ~ spl79_694 ),
inference(superposition,[],[f28104,f273857]) ).
fof(f273964,plain,
( ! [X0] :
( c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF71) = hAPP(hAPP(sF67,sF72),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF72))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF73 )
| ~ spl79_76
| ~ spl79_694 ),
inference(forward_demodulation,[],[f273935,f28307]) ).
fof(f274003,plain,
( ! [X0] :
( c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF71) = X0
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF73 )
| ~ spl79_76
| ~ spl79_112
| ~ spl79_694 ),
inference(forward_demodulation,[],[f273964,f204265]) ).
fof(f274033,definition,
( spl79_712
<=> ! [X0] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF71) = X0 ),
introduced(definition,[new_symbols(definition,[spl79_712])],[avatar_definition]) ).
fof(f274034,plain,
( ! [X0] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF71) = X0
| ~ spl79_712 ),
inference(avatar_component_clause,[],[f274033]) ).
fof(f274043,plain,
( ! [X0] :
( sF63 = sF73
| c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF71) = X0 )
| ~ spl79_76
| ~ spl79_112
| ~ spl79_694 ),
inference(forward_demodulation,[],[f274003,f12155]) ).
fof(f274061,plain,
( ! [X0] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF71) = X0
| spl79_69
| ~ spl79_76
| ~ spl79_112
| ~ spl79_694 ),
inference(forward_subsumption_resolution,[],[f274043,f226896]) ).
fof(f274073,plain,
( spl79_712
| spl79_69
| ~ spl79_76
| ~ spl79_112
| ~ spl79_694 ),
inference(avatar_split_clause,[],[f274061,f271013,f13509,f12153,f12114,f274033]) ).
fof(f274111,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF63),sF77)
| ~ spl79_712 ),
inference(superposition,[],[f4928,f274034]) ).
fof(f274190,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF63),sF64)
| ~ spl79_712 ),
inference(forward_demodulation,[],[f274111,f5177]) ).
fof(f274212,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF64,sF64)
| ~ spl79_712 ),
inference(forward_demodulation,[],[f274190,f4772]) ).
fof(f274215,plain,
( $false
| ~ spl79_712 ),
inference(forward_subsumption_resolution,[],[f274212,f4615]) ).
fof(f274216,plain,
~ spl79_712,
inference(avatar_contradiction_clause,[],[f274215]) ).
fof(f274489,plain,
( ! [X0] :
( c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF71) = hAPP(hAPP(sF67,sF63),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF63))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF73 )
| ~ spl79_71
| ~ spl79_76
| ~ spl79_694 ),
inference(forward_demodulation,[],[f273964,f12225]) ).
fof(f274830,plain,
( ! [X0] :
( c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF71) = hAPP(hAPP(sF67,sF62),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF62))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF73 )
| ~ spl79_71
| ~ spl79_76
| ~ spl79_694 ),
inference(forward_demodulation,[],[f274489,f33673]) ).
fof(f274996,plain,
( ! [X0] :
( c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF71) = X0
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = sF73 )
| ~ spl79_71
| ~ spl79_76
| ~ spl79_92
| spl79_97
| ~ spl79_694 ),
inference(forward_demodulation,[],[f274830,f19448]) ).
fof(f275082,plain,
( ! [X0] :
( sF63 = sF73
| c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF71) = X0 )
| ~ spl79_71
| ~ spl79_76
| ~ spl79_92
| spl79_97
| ~ spl79_694 ),
inference(forward_demodulation,[],[f274996,f12155]) ).
fof(f275139,plain,
( ! [X0] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF71) = X0
| spl79_69
| ~ spl79_71
| ~ spl79_76
| ~ spl79_92
| spl79_97
| ~ spl79_694 ),
inference(forward_subsumption_resolution,[],[f275082,f226896]) ).
fof(f275174,plain,
( spl79_712
| spl79_69
| ~ spl79_71
| ~ spl79_76
| ~ spl79_92
| spl79_97
| ~ spl79_694 ),
inference(avatar_split_clause,[],[f275139,f271013,f12804,f12769,f12153,f12123,f12114,f274033]) ).
fof(f275293,plain,
( ! [X0] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF71),X0)) = hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF63,X0)),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_b,sF62))
| ~ spl79_69
| ~ spl79_76
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f270968,f12203]) ).
fof(f275502,plain,
( ! [X0] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF63,X0)) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF71),X0))
| ~ spl79_69
| ~ spl79_76
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f275293,f267160]) ).
fof(f275652,plain,
( ! [X0] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF63,X0)) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,X0))
| ~ spl79_69
| ~ spl79_76
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f275502,f237654]) ).
fof(f275768,plain,
( ! [X0] : c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,X0) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF71,X0))
| ~ spl79_69
| ~ spl79_76
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f275652,f16167]) ).
fof(f275826,plain,
( spl79_155
| ~ spl79_69
| ~ spl79_76
| ~ spl79_92
| spl79_97 ),
inference(avatar_split_clause,[],[f275768,f12804,f12769,f12153,f12114,f24737]) ).
fof(f275925,definition,
( spl79_715
<=> sF62 = sF63 ),
introduced(definition,[new_symbols(definition,[spl79_715])],[avatar_definition]) ).
fof(f275926,plain,
( sF62 != sF63
| spl79_715 ),
inference(avatar_component_clause,[],[f275925]) ).
fof(f275927,plain,
( sF62 = sF63
| ~ spl79_715 ),
inference(avatar_component_clause,[],[f275925]) ).
fof(f276136,plain,
( spl79_396
| ~ spl79_76
| spl79_81
| spl79_83
| ~ spl79_97 ),
inference(avatar_split_clause,[],[f227983,f12804,f12309,f12300,f12153,f192710]) ).
fof(f281126,plain,
( sF63 = sF71
| ~ spl79_155 ),
inference(forward_demodulation,[],[f43799,f4770]) ).
fof(f281832,plain,
( $false
| spl79_148
| ~ spl79_155 ),
inference(forward_subsumption_resolution,[],[f281126,f20236]) ).
fof(f281833,plain,
( spl79_148
| ~ spl79_155 ),
inference(avatar_contradiction_clause,[],[f281832]) ).
fof(f283932,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF61,sF61)
| ~ spl79_121
| ~ spl79_396 ),
inference(forward_demodulation,[],[f15107,f192712]) ).
fof(f285014,plain,
( $false
| ~ spl79_121
| ~ spl79_396 ),
inference(forward_subsumption_resolution,[],[f283932,f4615]) ).
fof(f285015,plain,
( ~ spl79_121
| ~ spl79_396 ),
inference(avatar_contradiction_clause,[],[f285014]) ).
fof(f291123,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != sF62
| spl79_76
| ~ spl79_715 ),
inference(forward_demodulation,[],[f12154,f275927]) ).
fof(f291413,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != sF62
| spl79_87
| ~ spl79_95 ),
inference(forward_demodulation,[],[f12642,f12784]) ).
fof(f292831,plain,
( $false
| spl79_76
| ~ spl79_97
| ~ spl79_715 ),
inference(forward_subsumption_resolution,[],[f291123,f12806]) ).
fof(f292832,plain,
( spl79_76
| ~ spl79_97
| ~ spl79_715 ),
inference(avatar_contradiction_clause,[],[f292831]) ).
fof(f293038,plain,
( $false
| spl79_87
| ~ spl79_95
| ~ spl79_97 ),
inference(forward_subsumption_resolution,[],[f291413,f12806]) ).
fof(f293039,plain,
( spl79_87
| ~ spl79_95
| ~ spl79_97 ),
inference(avatar_contradiction_clause,[],[f293038]) ).
fof(f297799,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF61,sF61)
| ~ spl79_127
| ~ spl79_396 ),
inference(forward_demodulation,[],[f16957,f192712]) ).
fof(f297837,plain,
( v_b = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,sF63)
| ~ spl79_106
| spl79_715 ),
inference(forward_subsumption_resolution,[],[f73809,f275926]) ).
fof(f298948,plain,
( $false
| ~ spl79_127
| ~ spl79_396 ),
inference(forward_subsumption_resolution,[],[f297799,f4615]) ).
fof(f298949,plain,
( ~ spl79_127
| ~ spl79_396 ),
inference(avatar_contradiction_clause,[],[f298948]) ).
fof(f302703,plain,
( ! [X0] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF62) = X0
| ~ spl79_97 ),
inference(superposition,[],[f171318,f12806]) ).
fof(f302704,plain,
( v_b != sF62
| ~ spl79_97 ),
inference(superposition,[],[f2699,f12806]) ).
fof(f302993,plain,
( sF62 = sF63
| ~ spl79_97
| ~ spl79_271 ),
inference(superposition,[],[f302703,f97999]) ).
fof(f302998,plain,
( ! [X0] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF62,X0) = X0
| ~ spl79_97 ),
inference(superposition,[],[f6245,f302703]) ).
fof(f303049,plain,
( $false
| ~ spl79_97
| ~ spl79_271
| spl79_715 ),
inference(forward_subsumption_resolution,[],[f302993,f275926]) ).
fof(f303050,plain,
( ~ spl79_97
| ~ spl79_271
| spl79_715 ),
inference(avatar_contradiction_clause,[],[f303049]) ).
fof(f303943,plain,
( ! [X0] : hAPP(hAPP(sF67,X0),sF62) = hAPP(hAPP(sF67,sF62),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF66,X0))
| ~ spl79_97 ),
inference(superposition,[],[f93614,f302998]) ).
fof(f304857,plain,
( ! [X0] : hAPP(hAPP(sF67,v_b),X0) = hAPP(hAPP(sF67,sF62),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF63))
| ~ spl79_106
| spl79_715 ),
inference(superposition,[],[f10848,f297837]) ).
fof(f304892,plain,
( ! [X0] : hAPP(sF68,X0) = hAPP(hAPP(sF67,sF62),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF63))
| ~ spl79_106
| spl79_715 ),
inference(forward_demodulation,[],[f304857,f4780]) ).
fof(f334785,plain,
( ! [X0] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF62,hAPP(sF68,X0)) = hAPP(hAPP(sF67,sF62),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF66,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF63)))
| ~ spl79_106
| spl79_715 ),
inference(superposition,[],[f90813,f304892]) ).
fof(f334821,plain,
( ! [X0] : hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF63)),sF62) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF62,hAPP(sF68,X0))
| ~ spl79_97
| ~ spl79_106
| spl79_715 ),
inference(forward_demodulation,[],[f334785,f303943]) ).
fof(f334885,plain,
( ! [X0] : hAPP(hAPP(sF67,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X0,sF63)),sF62) = hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,X0))
| ~ spl79_97
| ~ spl79_106
| spl79_715 ),
inference(forward_demodulation,[],[f334821,f91325]) ).
fof(f334926,plain,
( ! [X0] : hAPP(hAPP(sF67,X0),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF62,sF63)) = hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,X0))
| ~ spl79_97
| ~ spl79_106
| spl79_715 ),
inference(forward_demodulation,[],[f334885,f10848]) ).
fof(f334958,plain,
( ! [X0] : hAPP(hAPP(sF67,X0),v_b) = hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,X0))
| ~ spl79_97
| ~ spl79_106
| spl79_715 ),
inference(forward_demodulation,[],[f334926,f297837]) ).
fof(f334978,plain,
( ! [X0] : hAPP(sF68,X0) = hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,X0))
| ~ spl79_97
| ~ spl79_106
| spl79_715 ),
inference(forward_demodulation,[],[f334958,f5708]) ).
fof(f335008,plain,
( hAPP(sF68,sF63) = hAPP(sF68,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))
| ~ spl79_97
| ~ spl79_106
| spl79_715 ),
inference(superposition,[],[f334978,f171318]) ).
fof(f335072,plain,
( hAPP(sF68,sF62) = hAPP(sF68,sF63)
| ~ spl79_97
| ~ spl79_106
| spl79_715 ),
inference(forward_demodulation,[],[f335008,f12806]) ).
fof(f335081,plain,
( sF62 = hAPP(sF68,sF62)
| ~ spl79_97
| ~ spl79_106
| spl79_715 ),
inference(forward_demodulation,[],[f335072,f15672]) ).
fof(f335085,plain,
( $false
| ~ spl79_97
| ~ spl79_106
| spl79_532
| spl79_715 ),
inference(forward_subsumption_resolution,[],[f335081,f227776]) ).
fof(f335086,plain,
( ~ spl79_97
| ~ spl79_106
| spl79_532
| spl79_715 ),
inference(avatar_contradiction_clause,[],[f335085]) ).
fof(f335384,plain,
( $false
| ~ spl79_97
| ~ spl79_103 ),
inference(forward_subsumption_resolution,[],[f302704,f63314]) ).
fof(f335385,plain,
( ~ spl79_97
| ~ spl79_103 ),
inference(avatar_contradiction_clause,[],[f335384]) ).
fof(f335855,plain,
( sF71 = hAPP(hAPP(sF67,sF63),sF73)
| spl79_76 ),
inference(forward_subsumption_resolution,[],[f243382,f12154]) ).
fof(f340475,plain,
( c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF71) = hAPP(hAPP(sF67,sF63),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF66,sF73))
| spl79_76 ),
inference(superposition,[],[f90813,f335855]) ).
fof(f340503,plain,
( c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF71) = hAPP(hAPP(sF67,sF63),sF74)
| spl79_76 ),
inference(forward_demodulation,[],[f340475,f4792]) ).
fof(f340592,plain,
( ! [X0] : hAPP(hAPP(sF67,sF63),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,sF74),X0)) = c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF71)),X0)
| spl79_76 ),
inference(superposition,[],[f10697,f340503]) ).
fof(f340651,plain,
( ! [X0] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF71),X0)) = hAPP(hAPP(sF67,sF63),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,hAPP(sF68,sF74),X0))
| spl79_76 ),
inference(forward_demodulation,[],[f340592,f10686]) ).
fof(f340680,plain,
( ! [X0] : hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF71),X0)) = hAPP(hAPP(sF67,sF63),hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF74,X0)))
| spl79_76 ),
inference(forward_demodulation,[],[f340651,f10686]) ).
fof(f340704,plain,
( ! [X0] : hAPP(sF68,hAPP(hAPP(sF67,sF63),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF74,X0))) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF71),X0))
| spl79_76 ),
inference(forward_demodulation,[],[f340680,f7134]) ).
fof(f340717,plain,
( ! [X0] : hAPP(hAPP(sF67,sF62),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF74,X0)) = hAPP(sF68,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF71),X0))
| spl79_76 ),
inference(forward_demodulation,[],[f340704,f63873]) ).
fof(f341825,plain,
( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF71))),sF61) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,sF62),c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,sF74,v_b)))
| spl79_76 ),
inference(superposition,[],[f10768,f340717]) ).
fof(f341878,plain,
( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF71))),sF61) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,sF62),sF74)),sF61)
| spl79_76 ),
inference(forward_demodulation,[],[f341825,f10706]) ).
fof(f341937,plain,
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,sF74),sF63)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(sF68,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF71))),sF61)
| spl79_76 ),
inference(forward_demodulation,[],[f341878,f12003]) ).
fof(f341970,plain,
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,sF74),sF63)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF71)),sF66))
| spl79_76 ),
inference(forward_demodulation,[],[f341937,f12184]) ).
fof(f341992,plain,
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF71)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(sF67,sF74),sF63))
| spl79_76 ),
inference(forward_demodulation,[],[f341970,f15664]) ).
fof(f361830,plain,
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,sF74) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF71))
| spl79_76
| spl79_81
| spl79_83
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f341992,f28215]) ).
fof(f361909,plain,
( sF75 = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,sF63,sF71))
| spl79_76
| spl79_81
| spl79_83
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f361830,f4794]) ).
fof(f362012,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF75,sF77)
| spl79_76
| spl79_81
| spl79_83
| ~ spl79_92
| spl79_97 ),
inference(superposition,[],[f4928,f361909]) ).
fof(f362126,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sF75,sF64)
| spl79_76
| spl79_81
| spl79_83
| ~ spl79_92
| spl79_97 ),
inference(forward_demodulation,[],[f362012,f5177]) ).
fof(f362148,plain,
( $false
| spl79_76
| spl79_81
| spl79_83
| ~ spl79_92
| spl79_97 ),
inference(forward_subsumption_resolution,[],[f362126,f5904]) ).
fof(f362149,plain,
( spl79_76
| spl79_81
| spl79_83
| ~ spl79_92
| spl79_97 ),
inference(avatar_contradiction_clause,[],[f362148]) ).
fof(f363379,plain,
( ! [X0] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,sF71) = X0
| ~ spl79_96 ),
inference(superposition,[],[f171318,f12801]) ).
fof(f363385,plain,
( spl79_712
| ~ spl79_96 ),
inference(avatar_split_clause,[],[f363379,f12799,f274033]) ).
cnf(s33,plain,
( ~ spl79_45
| spl79_46 ),
inference(sat_conversion,[],[f7099]) ).
cnf(s34,plain,
( ~ spl79_45
| spl79_47 ),
inference(sat_conversion,[],[f7103]) ).
cnf(s41,plain,
spl79_45,
inference(sat_conversion,[],[f8312]) ).
cnf(s70,plain,
( ~ spl79_46
| ~ spl79_81
| spl79_82 ),
inference(sat_conversion,[],[f12307]) ).
cnf(s71,plain,
( ~ spl79_47
| ~ spl79_83
| spl79_84 ),
inference(sat_conversion,[],[f12316]) ).
cnf(s78,plain,
( spl79_92
| spl79_96 ),
inference(sat_conversion,[],[f12802]) ).
cnf(s88,plain,
( ~ spl79_97
| spl79_103
| spl79_106 ),
inference(sat_conversion,[],[f13295]) ).
cnf(s94,plain,
( spl79_111
| spl79_112 ),
inference(sat_conversion,[],[f13518]) ).
cnf(s104,plain,
( spl79_71
| ~ spl79_111 ),
inference(sat_conversion,[],[f15713]) ).
cnf(s542,plain,
( ~ spl79_87
| ~ spl79_95
| spl79_103 ),
inference(sat_conversion,[],[f171402]) ).
cnf(s634,plain,
( spl79_95
| spl79_121
| spl79_127 ),
inference(sat_conversion,[],[f192286]) ).
cnf(s971,plain,
( ~ spl79_87
| spl79_271 ),
inference(sat_conversion,[],[f218613]) ).
cnf(s1157,plain,
( ~ spl79_45
| ~ spl79_82 ),
inference(sat_conversion,[],[f230881]) ).
cnf(s1167,plain,
( ~ spl79_76
| spl79_81
| ~ spl79_97
| ~ spl79_127 ),
inference(sat_conversion,[],[f231454]) ).
cnf(s1185,plain,
( ~ spl79_76
| spl79_96
| ~ spl79_148 ),
inference(sat_conversion,[],[f231762]) ).
cnf(s1198,plain,
( ~ spl79_45
| ~ spl79_84 ),
inference(sat_conversion,[],[f232243]) ).
cnf(s1215,plain,
( spl79_81
| spl79_83
| spl79_396
| ~ spl79_532 ),
inference(sat_conversion,[],[f233292]) ).
cnf(s1414,plain,
( spl79_69
| ~ spl79_76
| ~ spl79_92
| spl79_97
| spl79_694 ),
inference(sat_conversion,[],[f271113]) ).
cnf(s1434,plain,
( spl79_69
| ~ spl79_76
| ~ spl79_112
| ~ spl79_694
| spl79_712 ),
inference(sat_conversion,[],[f274073]) ).
cnf(s1440,plain,
~ spl79_712,
inference(sat_conversion,[],[f274216]) ).
cnf(s1456,plain,
( spl79_69
| ~ spl79_71
| ~ spl79_76
| ~ spl79_92
| spl79_97
| ~ spl79_694
| spl79_712 ),
inference(sat_conversion,[],[f275174]) ).
cnf(s1459,plain,
( ~ spl79_69
| ~ spl79_76
| ~ spl79_92
| spl79_97
| spl79_155 ),
inference(sat_conversion,[],[f275826]) ).
cnf(s1481,plain,
( ~ spl79_76
| spl79_81
| spl79_83
| ~ spl79_97
| spl79_396 ),
inference(sat_conversion,[],[f276136]) ).
cnf(s1691,plain,
( spl79_148
| ~ spl79_155 ),
inference(sat_conversion,[],[f281833]) ).
cnf(s1873,plain,
( ~ spl79_121
| ~ spl79_396 ),
inference(sat_conversion,[],[f285015]) ).
cnf(s2070,plain,
( spl79_76
| ~ spl79_97
| ~ spl79_715 ),
inference(sat_conversion,[],[f292832]) ).
cnf(s2079,plain,
( spl79_87
| ~ spl79_95
| ~ spl79_97 ),
inference(sat_conversion,[],[f293039]) ).
cnf(s2153,plain,
( ~ spl79_127
| ~ spl79_396 ),
inference(sat_conversion,[],[f298949]) ).
cnf(s2359,plain,
( ~ spl79_97
| ~ spl79_271
| spl79_715 ),
inference(sat_conversion,[],[f303050]) ).
cnf(s2531,plain,
( ~ spl79_97
| ~ spl79_106
| spl79_532
| spl79_715 ),
inference(sat_conversion,[],[f335086]) ).
cnf(s2534,plain,
( ~ spl79_97
| ~ spl79_103 ),
inference(sat_conversion,[],[f335385]) ).
cnf(s2734,plain,
( spl79_76
| spl79_81
| spl79_83
| ~ spl79_92
| spl79_97 ),
inference(sat_conversion,[],[f362149]) ).
cnf(s2746,plain,
( ~ spl79_96
| spl79_712 ),
inference(sat_conversion,[],[f363385]) ).
cnf(s2747,plain,
~ spl79_96,
inference(rat,[],[s2746,s1440]) ).
cnf(s2748,plain,
( spl79_69
| ~ spl79_76
| ~ spl79_112
| ~ spl79_694 ),
inference(rat,[],[s1434,s1440]) ).
cnf(s2753,plain,
( ~ spl79_76
| ~ spl79_148 ),
inference(rat,[],[s1185,s2747]) ).
cnf(s2760,plain,
spl79_92,
inference(rat,[],[s78,s2747]) ).
cnf(s2761,plain,
~ spl79_84,
inference(rat,[],[s1198,s41]) ).
cnf(s2762,plain,
~ spl79_82,
inference(rat,[],[s1157,s41]) ).
cnf(s2763,plain,
spl79_47,
inference(rat,[],[s34,s41]) ).
cnf(s2764,plain,
~ spl79_83,
inference(rat,[],[s71,s2761,s2763]) ).
cnf(s2765,plain,
spl79_46,
inference(rat,[],[s33,s41]) ).
cnf(s2766,plain,
~ spl79_81,
inference(rat,[],[s70,s2762,s2765]) ).
cnf(s2772,plain,
( spl79_97
| spl79_69
| ~ spl79_76 ),
inference(rat,[],[s104,s94,s1456,s2748,s1414,s1440,s2760]) ).
cnf(s2776,plain,
spl79_76,
inference(rat,[],[s634,s1873,s2153,s2079,s1215,s971,s2531,s2359,s88,s2070,s2534,s2734,s2764,s2766,s2760]) ).
cnf(s2778,plain,
~ spl79_148,
inference(rat,[],[s2753,s2776]) ).
cnf(s2779,plain,
~ spl79_155,
inference(rat,[],[s1691,s2778]) ).
cnf(s2782,plain,
~ spl79_97,
inference(rat,[],[s542,s2079,s634,s1873,s1167,s1481,s2534,s2766,s2776,s2764]) ).
cnf(s2787,plain,
spl79_69,
inference(rat,[],[s2772,s2776,s2782]) ).
cnf(s2788,plain,
$false,
inference(rat,[],[s1459,s2776,s2779,s2760,s2782,s2787]) ).
fof(f363386,plain,
$false,
inference(avatar_sat_refutation,[],[s2788]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW202+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n003.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 13:16:42 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 Running first-order theorem proving
% 0.10/0.19 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
% 14.09/2.72 % (1575921)Detected formulas, will run a generic FOF schedule.
% 14.09/2.72 % (1575927)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=3721701564:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 14.09/2.72 % (1575929)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3009645143:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 14.09/2.72 % (1575928)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=3932874805:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 14.09/2.72 % (1575926)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=3634473950:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 14.09/2.72 % (1575929)Refutation not found, incomplete strategy
% 14.09/2.72 % (1575929)------------------------------
% 14.09/2.72 % (1575929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.09/2.72 % (1575929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.09/2.72 % (1575929)CaDiCaL version: 2.1.3
% 14.09/2.72 % (1575929)Termination reason: Refutation not found, incomplete strategy
% 14.09/2.72 % (1575929)Time elapsed: 0.015 s
% 14.09/2.72 % (1575929)Peak memory usage: 90 MB
% 14.09/2.72 % (1575929)Instructions burned: 24 (million)
% 14.09/2.72 % (1575931)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1488673153:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 14.09/2.72 % (1575930)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2005532684:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 14.09/2.72 % (1575932)dis-21_1_sil=8000:lcm=predicate:random_seed=2952505423: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)
% 14.09/2.72 % (1575932)Instruction limit reached!
% 14.09/2.72 % (1575932)------------------------------
% 14.09/2.72 % (1575932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.09/2.72 % (1575932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.09/2.72 % (1575932)CaDiCaL version: 2.1.3
% 14.09/2.72 % (1575932)Termination reason: Instruction limit
% 14.09/2.72 % (1575932)Termination phase: Saturation
% 14.09/2.72 % (1575932)Time elapsed: 0.065 s
% 14.09/2.72 % (1575932)Peak memory usage: 91 MB
% 14.09/2.72 % (1575932)Instructions burned: 130 (million)
% 14.09/2.72 % (1575930)Instruction limit reached!
% 14.09/2.72 % (1575930)------------------------------
% 14.09/2.72 % (1575930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.09/2.72 % (1575930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.09/2.72 % (1575930)CaDiCaL version: 2.1.3
% 14.09/2.72 % (1575930)Termination reason: Instruction limit
% 14.09/2.72 % (1575930)Termination phase: Saturation
% 14.09/2.72 % (1575930)Time elapsed: 0.069 s
% 14.09/2.72 % (1575930)Peak memory usage: 89 MB
% 14.09/2.72 % (1575930)Instructions burned: 119 (million)
% 14.09/2.72 % (1575931)Instruction limit reached!
% 14.09/2.72 % (1575931)------------------------------
% 14.09/2.72 % (1575931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.09/2.72 % (1575931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.09/2.72 % (1575931)CaDiCaL version: 2.1.3
% 14.09/2.72 % (1575931)Termination reason: Instruction limit
% 14.09/2.72 % (1575931)Termination phase: Saturation
% 14.09/2.72 % (1575931)Time elapsed: 0.074 s
% 14.09/2.72 % (1575931)Peak memory usage: 91 MB
% 14.09/2.72 % (1575931)Instructions burned: 140 (million)
% 14.09/2.72 % (1575940)lrs+10_1_sil=8000:sp=occurrence:random_seed=2802829900:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 14.09/2.72 % (1575941)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3986014175:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 14.09/2.72 % (1575942)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4112103586:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 14.09/2.72 % (1575929)------------------------------
% 14.09/2.72 % (1575929)------------------------------
% 14.09/2.72 % (1575941)Instruction limit reached!
% 14.09/2.72 % (1575941)------------------------------
% 14.09/2.72 % (1575941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/3.52 % (1575941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.52 % (1575941)CaDiCaL version: 2.1.3
% 19.84/3.52 % (1575941)Termination reason: Instruction limit
% 19.84/3.52 % (1575941)Termination phase: Saturation
% 19.84/3.52 % (1575941)Time elapsed: 0.087 s
% 19.84/3.52 % (1575941)Peak memory usage: 91 MB
% 19.84/3.52 % (1575941)Instructions burned: 157 (million)
% 19.84/3.52 % (1575946)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=3559083810:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 19.84/3.52 % (1575940)Instruction limit reached!
% 19.84/3.52 % (1575940)------------------------------
% 19.84/3.52 % (1575940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/3.52 % (1575940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.52 % (1575940)CaDiCaL version: 2.1.3
% 19.84/3.52 % (1575940)Termination reason: Instruction limit
% 19.84/3.52 % (1575940)Termination phase: Saturation
% 19.84/3.52 % (1575940)Time elapsed: 0.180 s
% 19.84/3.52 % (1575940)Peak memory usage: 92 MB
% 19.84/3.52 % (1575940)Instructions burned: 285 (million)
% 19.84/3.52 % (1575942)Instruction limit reached!
% 19.84/3.52 % (1575942)------------------------------
% 19.84/3.52 % (1575942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/3.52 % (1575942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.52 % (1575942)CaDiCaL version: 2.1.3
% 19.84/3.52 % (1575942)Termination reason: Instruction limit
% 19.84/3.52 % (1575942)Termination phase: Saturation
% 19.84/3.52 % (1575942)Time elapsed: 0.201 s
% 19.84/3.52 % (1575942)Peak memory usage: 92 MB
% 19.84/3.52 % (1575942)Instructions burned: 326 (million)
% 19.84/3.52 % (1575947)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1938357904:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 19.84/3.52 % (1575947)Refutation not found, incomplete strategy
% 19.84/3.52 % (1575947)------------------------------
% 19.84/3.52 % (1575947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/3.52 % (1575947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.52 % (1575947)CaDiCaL version: 2.1.3
% 19.84/3.52 % (1575947)Termination reason: Refutation not found, incomplete strategy
% 19.84/3.52 % (1575947)Time elapsed: 0.042 s
% 19.84/3.52 % (1575947)Peak memory usage: 90 MB
% 19.84/3.52 % (1575947)Instructions burned: 78 (million)
% 19.84/3.52 % (1575949)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4251292035:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 19.84/3.52 % (1575946)Instruction limit reached!
% 19.84/3.52 % (1575946)------------------------------
% 19.84/3.52 % (1575946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/3.52 % (1575946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.52 % (1575946)CaDiCaL version: 2.1.3
% 19.84/3.52 % (1575946)Termination reason: Instruction limit
% 19.84/3.52 % (1575946)Termination phase: Saturation
% 19.84/3.52 % (1575946)Time elapsed: 0.143 s
% 19.84/3.52 % (1575946)Peak memory usage: 92 MB
% 19.84/3.52 % (1575946)Instructions burned: 249 (million)
% 19.84/3.52 % (1575950)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3108980338:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 19.84/3.52 % (1575950)Instruction limit reached!
% 19.84/3.52 % (1575950)------------------------------
% 19.84/3.52 % (1575950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/3.52 % (1575950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.52 % (1575950)CaDiCaL version: 2.1.3
% 19.84/3.52 % (1575950)Termination reason: Instruction limit
% 19.84/3.52 % (1575950)Termination phase: Saturation
% 19.84/3.52 % (1575950)Time elapsed: 0.057 s
% 19.84/3.52 % (1575950)Peak memory usage: 90 MB
% 19.84/3.52 % (1575950)Instructions burned: 114 (million)
% 19.84/3.52 % (1575953)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2849190503:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 19.84/3.52 % (1575953)Instruction limit reached!
% 19.84/3.52 % (1575953)------------------------------
% 19.84/3.52 % (1575953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/3.52 % (1575953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.52 % (1575953)CaDiCaL version: 2.1.3
% 55.80/8.53 % (1575953)Termination reason: Instruction limit
% 55.80/8.53 % (1575953)Termination phase: Saturation
% 55.80/8.53 % (1575953)Time elapsed: 0.060 s
% 55.80/8.53 % (1575953)Peak memory usage: 90 MB
% 55.80/8.53 % (1575953)Instructions burned: 129 (million)
% 55.80/8.53 % (1575947)------------------------------
% 55.80/8.53 % (1575947)------------------------------
% 55.80/8.53 % (1575955)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1451128956:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 55.80/8.53 % (1575955)Instruction limit reached!
% 55.80/8.53 % (1575955)------------------------------
% 55.80/8.53 % (1575955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.80/8.53 % (1575955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.80/8.53 % (1575955)CaDiCaL version: 2.1.3
% 55.80/8.53 % (1575955)Termination reason: Instruction limit
% 55.80/8.53 % (1575955)Termination phase: Saturation
% 55.80/8.53 % (1575955)Time elapsed: 0.056 s
% 55.80/8.53 % (1575955)Peak memory usage: 89 MB
% 55.80/8.53 % (1575955)Instructions burned: 115 (million)
% 55.80/8.53 % (1575957)lrs+10_1_sil=8000:sp=occurrence:random_seed=381407517:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 55.80/8.53 % (1575958)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3501486621:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 55.80/8.53 % (1575960)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2783897872:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 55.80/8.53 % (1575958)Instruction limit reached!
% 55.80/8.53 % (1575958)------------------------------
% 55.80/8.53 % (1575958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.80/8.53 % (1575958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.80/8.53 % (1575958)CaDiCaL version: 2.1.3
% 55.80/8.53 % (1575958)Termination reason: Instruction limit
% 55.80/8.53 % (1575958)Termination phase: Saturation
% 55.80/8.53 % (1575958)Time elapsed: 0.229 s
% 55.80/8.53 % (1575958)Peak memory usage: 93 MB
% 55.80/8.53 % (1575958)Instructions burned: 437 (million)
% 55.80/8.53 % (1575964)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1531045719:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 55.80/8.53 % (1575964)Instruction limit reached!
% 55.80/8.53 % (1575964)------------------------------
% 55.80/8.53 % (1575964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.80/8.53 % (1575964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.80/8.53 % (1575964)CaDiCaL version: 2.1.3
% 55.80/8.53 % (1575964)Termination reason: Instruction limit
% 55.80/8.53 % (1575964)Termination phase: Saturation
% 55.80/8.53 % (1575964)Time elapsed: 0.070 s
% 55.80/8.53 % (1575964)Peak memory usage: 92 MB
% 55.80/8.53 % (1575964)Instructions burned: 134 (million)
% 55.80/8.53 % (1575957)Instruction limit reached!
% 55.80/8.53 % (1575957)------------------------------
% 55.80/8.53 % (1575957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.80/8.53 % (1575957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.80/8.53 % (1575957)CaDiCaL version: 2.1.3
% 55.80/8.53 % (1575957)Termination reason: Instruction limit
% 55.80/8.53 % (1575957)Termination phase: Saturation
% 55.80/8.53 % (1575957)Time elapsed: 0.565 s
% 55.80/8.53 % (1575957)Peak memory usage: 96 MB
% 55.80/8.53 % (1575957)Instructions burned: 907 (million)
% 55.80/8.53 % (1575966)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3094356926:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 55.80/8.53 % (1575967)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2598884887:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 55.80/8.53 % (1575966)Instruction limit reached!
% 55.80/8.53 % (1575966)------------------------------
% 55.80/8.53 % (1575966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.80/8.53 % (1575966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.80/8.53 % (1575966)CaDiCaL version: 2.1.3
% 55.80/8.53 % (1575966)Termination reason: Instruction limit
% 55.80/8.53 % (1575966)Termination phase: Saturation
% 55.80/8.53 % (1575966)Time elapsed: 0.323 s
% 55.80/8.53 % (1575966)Peak memory usage: 94 MB
% 55.80/8.53 % (1575966)Instructions burned: 593 (million)
% 55.80/8.53 % (1575970)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=3250401378:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 78.43/11.74 % (1575970)Instruction limit reached!
% 78.43/11.74 % (1575970)------------------------------
% 78.43/11.74 % (1575970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.43/11.74 % (1575970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.43/11.74 % (1575970)CaDiCaL version: 2.1.3
% 78.43/11.74 % (1575970)Termination reason: Instruction limit
% 78.43/11.74 % (1575970)Termination phase: Saturation
% 78.43/11.74 % (1575970)Time elapsed: 0.067 s
% 78.43/11.74 % (1575970)Peak memory usage: 91 MB
% 78.43/11.74 % (1575970)Instructions burned: 126 (million)
% 78.43/11.74 % (1575949)Instruction limit reached!
% 78.43/11.74 % (1575949)------------------------------
% 78.43/11.74 % (1575949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.43/11.74 % (1575949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.43/11.74 % (1575949)CaDiCaL version: 2.1.3
% 78.43/11.74 % (1575949)Termination reason: Instruction limit
% 78.43/11.74 % (1575949)Termination phase: Saturation
% 78.43/11.74 % (1575949)Time elapsed: 1.455 s
% 78.43/11.74 % (1575949)Peak memory usage: 147 MB
% 78.43/11.74 % (1575949)Instructions burned: 2351 (million)
% 78.43/11.74 % (1575972)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1786607953:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 78.43/11.74 % (1575973)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4138763820:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 78.43/11.74 % (1575973)Refutation not found, incomplete strategy
% 78.43/11.74 % (1575973)------------------------------
% 78.43/11.74 % (1575973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.43/11.74 % (1575973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.43/11.74 % (1575973)CaDiCaL version: 2.1.3
% 78.43/11.74 % (1575973)Termination reason: Refutation not found, incomplete strategy
% 78.43/11.74 % (1575973)Time elapsed: 0.009 s
% 78.43/11.74 % (1575973)Peak memory usage: 89 MB
% 78.43/11.74 % (1575973)Instructions burned: 14 (million)
% 78.43/11.74 % (1575972)Instruction limit reached!
% 78.43/11.74 % (1575972)------------------------------
% 78.43/11.74 % (1575972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.43/11.74 % (1575972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.43/11.74 % (1575972)CaDiCaL version: 2.1.3
% 78.43/11.74 % (1575972)Termination reason: Instruction limit
% 78.43/11.74 % (1575972)Termination phase: Saturation
% 78.43/11.74 % (1575972)Time elapsed: 0.064 s
% 78.43/11.74 % (1575972)Peak memory usage: 90 MB
% 78.43/11.74 % (1575972)Instructions burned: 136 (million)
% 78.43/11.74 % (1575976)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4086905606:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 78.43/11.74 % (1575973)------------------------------
% 78.43/11.74 % (1575973)------------------------------
% 78.43/11.74 % (1575976)Instruction limit reached!
% 78.43/11.74 % (1575976)------------------------------
% 78.43/11.74 % (1575976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.43/11.74 % (1575976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.43/11.74 % (1575976)CaDiCaL version: 2.1.3
% 78.43/11.74 % (1575976)Termination reason: Instruction limit
% 78.43/11.74 % (1575976)Termination phase: Saturation
% 78.43/11.74 % (1575976)Time elapsed: 0.209 s
% 78.43/11.74 % (1575976)Peak memory usage: 92 MB
% 78.43/11.74 % (1575976)Instructions burned: 431 (million)
% 78.43/11.74 % (1575978)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=2309139737:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 78.43/11.74 % (1575980)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=582354190:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 78.43/11.74 % (1575980)Instruction limit reached!
% 78.43/11.74 % (1575980)------------------------------
% 78.43/11.74 % (1575980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.43/11.74 % (1575980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.88/16.60 % (1575980)CaDiCaL version: 2.1.3
% 112.88/16.60 % (1575980)Termination reason: Instruction limit
% 112.88/16.60 % (1575980)Termination phase: Saturation
% 112.88/16.60 % (1575980)Time elapsed: 0.078 s
% 112.88/16.60 % (1575980)Peak memory usage: 91 MB
% 112.88/16.60 % (1575980)Instructions burned: 151 (million)
% 112.88/16.60 % (1575982)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3005784238:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 112.88/16.60 % (1575960)Instruction limit reached!
% 112.88/16.60 % (1575960)------------------------------
% 112.88/16.60 % (1575960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.88/16.60 % (1575960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.88/16.60 % (1575960)CaDiCaL version: 2.1.3
% 112.88/16.60 % (1575960)Termination reason: Instruction limit
% 112.88/16.60 % (1575960)Termination phase: Saturation
% 112.88/16.60 % (1575960)Time elapsed: 3.138 s
% 112.88/16.60 % (1575960)Peak memory usage: 165 MB
% 112.88/16.60 % (1575960)Instructions burned: 5202 (million)
% 112.88/16.60 % (1575985)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=582824850:i=667:av=off:fsr=off_2957 on theBenchmark for (2957ds/667Mi)
% 112.88/16.60 % (1575985)Instruction limit reached!
% 112.88/16.60 % (1575985)------------------------------
% 112.88/16.60 % (1575985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.88/16.60 % (1575985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.88/16.60 % (1575985)CaDiCaL version: 2.1.3
% 112.88/16.60 % (1575985)Termination reason: Instruction limit
% 112.88/16.60 % (1575985)Termination phase: Saturation
% 112.88/16.60 % (1575985)Time elapsed: 0.289 s
% 112.88/16.60 % (1575985)Peak memory usage: 92 MB
% 112.88/16.60 % (1575985)Instructions burned: 668 (million)
% 112.88/16.60 % (1575987)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=3419445322:s2a=on:i=185:s2at=1.8:fdi=4_2953 on theBenchmark for (2953ds/185Mi)
% 112.88/16.60 % (1575987)Instruction limit reached!
% 112.88/16.60 % (1575987)------------------------------
% 112.88/16.60 % (1575987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.88/16.60 % (1575987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.88/16.60 % (1575987)CaDiCaL version: 2.1.3
% 112.88/16.60 % (1575987)Termination reason: Instruction limit
% 112.88/16.60 % (1575987)Termination phase: Saturation
% 112.88/16.60 % (1575987)Time elapsed: 0.093 s
% 112.88/16.60 % (1575987)Peak memory usage: 92 MB
% 112.88/16.60 % (1575987)Instructions burned: 185 (million)
% 112.88/16.60 % (1575989)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2194867755:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2950 on theBenchmark for (2950ds/193Mi)
% 112.88/16.60 % (1575989)Instruction limit reached!
% 112.88/16.60 % (1575989)------------------------------
% 112.88/16.60 % (1575989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.88/16.60 % (1575989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.88/16.60 % (1575989)CaDiCaL version: 2.1.3
% 112.88/16.60 % (1575989)Termination reason: Instruction limit
% 112.88/16.60 % (1575989)Termination phase: Saturation
% 112.88/16.60 % (1575989)Time elapsed: 0.118 s
% 112.88/16.60 % (1575989)Peak memory usage: 93 MB
% 112.88/16.60 % (1575989)Instructions burned: 193 (million)
% 112.88/16.60 % (1575991)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1623320508:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2948 on theBenchmark for (2948ds/4850Mi)
% 112.88/16.60 % (1575978)Instruction limit reached!
% 112.88/16.60 % (1575978)------------------------------
% 112.88/16.60 % (1575978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 112.88/16.60 % (1575978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.88/16.60 % (1575978)CaDiCaL version: 2.1.3
% 112.88/16.60 % (1575978)Termination reason: Instruction limit
% 112.88/16.60 % (1575978)Termination phase: Saturation
% 112.88/16.60 % (1575978)Time elapsed: 3.741 s
% 112.88/16.60 % (1575978)Peak memory usage: 175 MB
% 112.88/16.60 % (1575978)Instructions burned: 6060 (million)
% 112.88/16.60 % (1575993)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3361384745:i=12111:sd=1:ss=included_2935 on theBenchmark for (2935ds/12111Mi)
% 112.88/16.60 % (1575991)Instruction limit reached!
% 112.88/16.60 % (1575991)------------------------------
% 140.97/20.55 % (1575991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.97/20.55 % (1575991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.97/20.55 % (1575991)CaDiCaL version: 2.1.3
% 140.97/20.55 % (1575991)Termination reason: Instruction limit
% 140.97/20.55 % (1575991)Termination phase: Saturation
% 140.97/20.55 % (1575991)Time elapsed: 2.582 s
% 140.97/20.55 % (1575991)Peak memory usage: 106 MB
% 140.97/20.55 % (1575991)Instructions burned: 4852 (million)
% 140.97/20.55 % (1575995)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=906446100:i=319:kws=precedence:fsr=off_2921 on theBenchmark for (2921ds/319Mi)
% 140.97/20.55 % (1575995)Instruction limit reached!
% 140.97/20.55 % (1575995)------------------------------
% 140.97/20.55 % (1575995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.97/20.55 % (1575995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.97/20.55 % (1575995)CaDiCaL version: 2.1.3
% 140.97/20.55 % (1575995)Termination reason: Instruction limit
% 140.97/20.55 % (1575995)Termination phase: Saturation
% 140.97/20.55 % (1575995)Time elapsed: 0.179 s
% 140.97/20.55 % (1575995)Peak memory usage: 94 MB
% 140.97/20.55 % (1575995)Instructions burned: 319 (million)
% 140.97/20.55 % (1575997)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=4136785365:i=2064:ep=RST_2917 on theBenchmark for (2917ds/2064Mi)
% 140.97/20.55 % (1575997)Refutation not found, incomplete strategy
% 140.97/20.55 % (1575997)------------------------------
% 140.97/20.55 % (1575997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.97/20.55 % (1575997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.97/20.55 % (1575997)CaDiCaL version: 2.1.3
% 140.97/20.55 % (1575997)Termination reason: Refutation not found, incomplete strategy
% 140.97/20.55 % (1575997)Time elapsed: 0.058 s
% 140.97/20.55 % (1575997)Peak memory usage: 91 MB
% 140.97/20.55 % (1575997)Instructions burned: 121 (million)
% 140.97/20.55 % (1575997)------------------------------
% 140.97/20.55 % (1575997)------------------------------
% 140.97/20.55 % (1575999)dis-1011_128_sil=32000:random_seed=1610364232:i=3706:ep=RST:av=off_2913 on theBenchmark for (2913ds/3706Mi)
% 140.97/20.55 % (1575967)Instruction limit reached!
% 140.97/20.55 % (1575967)------------------------------
% 140.97/20.55 % (1575967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.97/20.55 % (1575967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.97/20.55 % (1575967)CaDiCaL version: 2.1.3
% 140.97/20.55 % (1575967)Termination reason: Instruction limit
% 140.97/20.55 % (1575967)Termination phase: Saturation
% 140.97/20.55 % (1575967)Time elapsed: 7.793 s
% 140.97/20.55 % (1575967)Peak memory usage: 216 MB
% 140.97/20.55 % (1575967)Instructions burned: 13194 (million)
% 140.97/20.55 % (1576001)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1133430843:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2904 on theBenchmark for (2904ds/757Mi)
% 140.97/20.55 % (1576001)Refutation not found, incomplete strategy
% 140.97/20.55 % (1576001)------------------------------
% 140.97/20.55 % (1576001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.97/20.55 % (1576001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.97/20.55 % (1576001)CaDiCaL version: 2.1.3
% 140.97/20.55 % (1576001)Termination reason: Refutation not found, incomplete strategy
% 140.97/20.55 % (1576001)Time elapsed: 0.025 s
% 140.97/20.55 % (1576001)Peak memory usage: 90 MB
% 140.97/20.55 % (1576001)Instructions burned: 46 (million)
% 140.97/20.55 % (1576001)------------------------------
% 140.97/20.55 % (1576001)------------------------------
% 140.97/20.55 % (1576003)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1035287311:i=13913:ss=axioms:sgt=8_2900 on theBenchmark for (2900ds/13913Mi)
% 140.97/20.55 % (1575999)Instruction limit reached!
% 140.97/20.55 % (1575999)------------------------------
% 140.97/20.55 % (1575999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.97/20.55 % (1575999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.97/20.55 % (1575999)CaDiCaL version: 2.1.3
% 140.97/20.55 % (1575999)Termination reason: Instruction limit
% 140.97/20.55 % (1575999)Termination phase: Saturation
% 140.97/20.55 % (1575999)Time elapsed: 2.199 s
% 140.97/20.55 % (1575999)Peak memory usage: 126 MB
% 140.97/20.55 % (1575999)Instructions burned: 3707 (million)
% 140.97/20.55 % (1576005)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=4095615332:i=9925:aac=none_2890 on theBenchmark for (2890ds/9925Mi)
% 167.92/24.38 % (1575982)Instruction limit reached!
% 167.92/24.38 % (1575982)------------------------------
% 167.92/24.38 % (1575982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 167.92/24.38 % (1575982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 167.92/24.38 % (1575982)CaDiCaL version: 2.1.3
% 167.92/24.38 % (1575982)Termination reason: Instruction limit
% 167.92/24.38 % (1575982)Termination phase: Saturation
% 167.92/24.38 % (1575982)Time elapsed: 8.430 s
% 167.92/24.38 % (1575982)Peak memory usage: 193 MB
% 167.92/24.38 % (1575982)Instructions burned: 14156 (million)
% 167.92/24.38 % (1576007)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=3778726549:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2885 on theBenchmark for (2885ds/2479Mi)
% 167.92/24.38 % (1576007)Instruction limit reached!
% 167.92/24.38 % (1576007)------------------------------
% 167.92/24.38 % (1576007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 167.92/24.38 % (1576007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 167.92/24.38 % (1576007)CaDiCaL version: 2.1.3
% 167.92/24.38 % (1576007)Termination reason: Instruction limit
% 167.92/24.38 % (1576007)Termination phase: Saturation
% 167.92/24.38 % (1576007)Time elapsed: 1.097 s
% 167.92/24.38 % (1576007)Peak memory usage: 97 MB
% 167.92/24.38 % (1576007)Instructions burned: 2481 (million)
% 167.92/24.38 % (1576009)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=419745517:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2873 on theBenchmark for (2873ds/440Mi)
% 167.92/24.38 % (1576009)Instruction limit reached!
% 167.92/24.38 % (1576009)------------------------------
% 167.92/24.38 % (1576009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 167.92/24.38 % (1576009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 167.92/24.38 % (1576009)CaDiCaL version: 2.1.3
% 167.92/24.38 % (1576009)Termination reason: Instruction limit
% 167.92/24.38 % (1576009)Termination phase: Saturation
% 167.92/24.38 % (1576009)Time elapsed: 0.234 s
% 167.92/24.38 % (1576009)Peak memory usage: 94 MB
% 167.92/24.38 % (1576009)Instructions burned: 441 (million)
% 167.92/24.38 % (1576011)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2790035973:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2869 on theBenchmark for (2869ds/11145Mi)
% 167.92/24.38 % (1575993)Instruction limit reached!
% 167.92/24.38 % (1575993)------------------------------
% 167.92/24.38 % (1575993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 167.92/24.38 % (1575993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 167.92/24.38 % (1575993)CaDiCaL version: 2.1.3
% 167.92/24.38 % (1575993)Termination reason: Instruction limit
% 167.92/24.38 % (1575993)Termination phase: Saturation
% 167.92/24.38 % (1575993)Time elapsed: 7.077 s
% 167.92/24.38 % (1575993)Peak memory usage: 240 MB
% 167.92/24.38 % (1575993)Instructions burned: 12112 (million)
% 167.92/24.38 % (1576013)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=1251213367:cts=off:i=3034:av=off:er=known:fsd=on_2863 on theBenchmark for (2863ds/3034Mi)
% 167.92/24.38 % (1576013)Instruction limit reached!
% 167.92/24.38 % (1576013)------------------------------
% 167.92/24.38 % (1576013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 167.92/24.38 % (1576013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 167.92/24.38 % (1576013)CaDiCaL version: 2.1.3
% 167.92/24.38 % (1576013)Termination reason: Instruction limit
% 167.92/24.38 % (1576013)Termination phase: Saturation
% 167.92/24.38 % (1576013)Time elapsed: 1.766 s
% 167.92/24.38 % (1576013)Peak memory usage: 145 MB
% 167.92/24.38 % (1576013)Instructions burned: 3035 (million)
% 167.92/24.38 % (1576015)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1540443734:st=2:s2a=on:i=524:s2at=2:ss=axioms_2844 on theBenchmark for (2844ds/524Mi)
% 167.92/24.38 % (1576015)Instruction limit reached!
% 167.92/24.38 % (1576015)------------------------------
% 167.92/24.38 % (1576015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 167.92/24.38 % (1576015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 167.92/24.38 % (1576015)CaDiCaL version: 2.1.3
% 167.92/24.38 % (1576015)Termination reason: Instruction limit
% 167.92/24.38 % (1576015)Termination phase: Saturation
% 167.92/24.38 % (1576015)Time elapsed: 0.276 s
% 198.47/28.61 % (1576015)Peak memory usage: 93 MB
% 198.47/28.61 % (1576015)Instructions burned: 526 (million)
% 198.47/28.61 % (1576017)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3835873973:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2840 on theBenchmark for (2840ds/1016Mi)
% 198.47/28.61 % (1576005)Instruction limit reached!
% 198.47/28.61 % (1576005)------------------------------
% 198.47/28.61 % (1576005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 198.47/28.61 % (1576005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 198.47/28.61 % (1576005)CaDiCaL version: 2.1.3
% 198.47/28.61 % (1576005)Termination reason: Instruction limit
% 198.47/28.61 % (1576005)Termination phase: Saturation
% 198.47/28.61 % (1576005)Time elapsed: 5.476 s
% 198.47/28.61 % (1576005)Peak memory usage: 183 MB
% 198.47/28.61 % (1576005)Instructions burned: 9927 (million)
% 198.47/28.61 % (1576017)Instruction limit reached!
% 198.47/28.61 % (1576017)------------------------------
% 198.47/28.61 % (1576017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 198.47/28.61 % (1576017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 198.47/28.61 % (1576017)CaDiCaL version: 2.1.3
% 198.47/28.61 % (1576017)Termination reason: Instruction limit
% 198.47/28.61 % (1576017)Termination phase: Saturation
% 198.47/28.61 % (1576017)Time elapsed: 0.550 s
% 198.47/28.61 % (1576017)Peak memory usage: 102 MB
% 198.47/28.61 % (1576017)Instructions burned: 1018 (million)
% 198.47/28.61 % (1576019)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=1132091581:i=14123:bd=preordered:ins=4_2834 on theBenchmark for (2834ds/14123Mi)
% 198.47/28.61 % (1576020)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=2355760385:i=5781:kws=precedence:bd=all:rawr=on_2833 on theBenchmark for (2833ds/5781Mi)
% 198.47/28.61 % (1576003)Instruction limit reached!
% 198.47/28.61 % (1576003)------------------------------
% 198.47/28.61 % (1576003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 198.47/28.61 % (1576003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 198.47/28.61 % (1576003)CaDiCaL version: 2.1.3
% 198.47/28.61 % (1576003)Termination reason: Instruction limit
% 198.47/28.61 % (1576003)Termination phase: Saturation
% 198.47/28.61 % (1576003)Time elapsed: 8.277 s
% 198.47/28.61 % (1576003)Peak memory usage: 195 MB
% 198.47/28.61 % (1576003)Instructions burned: 13913 (million)
% 198.47/28.61 % (1576023)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=1567480811:i=2448:gtgl=5:bd=preordered:gtg=all_2816 on theBenchmark for (2816ds/2448Mi)
% 198.47/28.61 % (1576011)Instruction limit reached!
% 198.47/28.61 % (1576011)------------------------------
% 198.47/28.61 % (1576011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 198.47/28.61 % (1576011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 198.47/28.61 % (1576011)CaDiCaL version: 2.1.3
% 198.47/28.61 % (1576011)Termination reason: Instruction limit
% 198.47/28.61 % (1576011)Termination phase: Saturation
% 198.47/28.61 % (1576011)Time elapsed: 6.153 s
% 198.47/28.61 % (1576011)Peak memory usage: 206 MB
% 198.47/28.61 % (1576011)Instructions burned: 11145 (million)
% 198.47/28.61 % (1576025)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=3031261175:i=3223:kws=precedence:fgj=on:av=off_2806 on theBenchmark for (2806ds/3223Mi)
% 198.47/28.61 % (1576020)Instruction limit reached!
% 198.47/28.61 % (1576020)------------------------------
% 198.47/28.61 % (1576020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 198.47/28.61 % (1576020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 198.47/28.61 % (1576020)CaDiCaL version: 2.1.3
% 198.47/28.61 % (1576020)Termination reason: Instruction limit
% 198.47/28.61 % (1576020)Termination phase: Saturation
% 198.47/28.61 % (1576020)Time elapsed: 3.143 s
% 198.47/28.61 % (1576020)Peak memory usage: 115 MB
% 198.47/28.61 % (1576020)Instructions burned: 5782 (million)
% 198.47/28.61 % (1576023)Instruction limit reached!
% 198.47/28.61 % (1576023)------------------------------
% 198.47/28.61 % (1576023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 198.47/28.61 % (1576023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 198.47/28.61 % (1576023)CaDiCaL version: 2.1.3
% 198.47/28.61 % (1576023)Termination reason: Instruction limit
% 198.47/28.61 % (1576023)Termination phase: Saturation
% 198.47/28.61 % (1576023)Time elapsed: 1.429 s
% 151.04/30.41 % (1576023)Peak memory usage: 151 MB
% 151.04/30.41 % (1576023)Instructions burned: 2448 (million)
% 151.04/30.41 % (1576028)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=3114761411:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2800 on theBenchmark for (2800ds/2055Mi)
% 151.04/30.41 % (1576027)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=3023184995:st=5.6:i=2033:sd=3:ss=axioms_2800 on theBenchmark for (2800ds/2033Mi)
% 151.04/30.41 % (1576028)Instruction limit reached!
% 151.04/30.41 % (1576028)------------------------------
% 151.04/30.41 % (1576028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 151.04/30.41 % (1576028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.04/30.41 % (1576028)CaDiCaL version: 2.1.3
% 151.04/30.41 % (1576028)Termination reason: Instruction limit
% 151.04/30.41 % (1576028)Termination phase: Saturation
% 151.04/30.41 % (1576028)Time elapsed: 1.245 s
% 151.04/30.41 % (1576028)Peak memory usage: 139 MB
% 151.04/30.41 % (1576028)Instructions burned: 2055 (million)
% 151.04/30.41 % (1576027)Instruction limit reached!
% 151.04/30.41 % (1576027)------------------------------
% 151.04/30.41 % (1576027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 151.04/30.41 % (1576027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.04/30.41 % (1576027)CaDiCaL version: 2.1.3
% 151.04/30.41 % (1576027)Termination reason: Instruction limit
% 151.04/30.41 % (1576027)Termination phase: Saturation
% 151.04/30.41 % (1576027)Time elapsed: 1.272 s
% 151.04/30.41 % (1576027)Peak memory usage: 142 MB
% 151.04/30.41 % (1576027)Instructions burned: 2034 (million)
% 151.04/30.41 % (1576031)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=2391618148:i=21611:sd=3:ss=axioms_2787 on theBenchmark for (2787ds/21611Mi)
% 151.04/30.41 % (1576025)Instruction limit reached!
% 151.04/30.41 % (1576025)------------------------------
% 151.04/30.41 % (1576025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 151.04/30.41 % (1576025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.04/30.41 % (1576025)CaDiCaL version: 2.1.3
% 151.04/30.41 % (1576025)Termination reason: Instruction limit
% 151.04/30.41 % (1576025)Termination phase: Saturation
% 151.04/30.41 % (1576025)Time elapsed: 1.990 s
% 151.04/30.41 % (1576025)Peak memory usage: 152 MB
% 151.04/30.41 % (1576025)Instructions burned: 3223 (million)
% 151.04/30.41 % (1576032)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=2913125441:i=4835:sd=13:ss=axioms:sgt=23_2786 on theBenchmark for (2786ds/4835Mi)
% 151.04/30.41 % (1576035)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=733819419:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2785 on theBenchmark for (2785ds/797Mi)
% 151.04/30.41 % (1576035)Instruction limit reached!
% 151.04/30.41 % (1576035)------------------------------
% 151.04/30.41 % (1576035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 151.04/30.41 % (1576035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.04/30.41 % (1576035)CaDiCaL version: 2.1.3
% 151.04/30.41 % (1576035)Termination reason: Instruction limit
% 151.04/30.41 % (1576035)Termination phase: Saturation
% 151.04/30.41 % (1576035)Time elapsed: 0.479 s
% 151.04/30.41 % (1576035)Peak memory usage: 95 MB
% 151.04/30.41 % (1576035)Instructions burned: 797 (million)
% 151.04/30.41 % (1576037)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=4019913304:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2779 on theBenchmark for (2779ds/2326Mi)
% 151.04/30.41 % (1576037)Instruction limit reached!
% 151.04/30.41 % (1576037)------------------------------
% 151.04/30.41 % (1576037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 151.04/30.41 % (1576037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.04/30.41 % (1576037)CaDiCaL version: 2.1.3
% 151.04/30.41 % (1576037)Termination reason: Instruction limit
% 151.04/30.41 % (1576037)Termination phase: Saturation
% 151.04/30.41 % (1576037)Time elapsed: 1.481 s
% 151.04/30.41 % (1576037)Peak memory usage: 103 MB
% 151.04/30.41 % (1576037)Instructions burned: 2326 (million)
% 151.04/30.41 % (1576019)Instruction limit reached!
% 151.04/30.41 % (1576019)------------------------------
% 151.04/30.41 % (1576019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 151.04/30.41 % (1576019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.04/30.41 % (1576019)CaDiCaL version: 2.1.3
% 151.04/30.41 % (1576019)Termination reason: Instruction limit
% 151.04/30.41 % (1576019)Termination phase: Saturation
% 151.04/30.41 % (1576019)Time elapsed: 7.019 s
% 151.04/30.41 % (1576019)Peak memory usage: 195 MB
% 151.04/30.41 % (1576019)Instructions burned: 14125 (million)
% 151.04/30.41 % (1576039)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=2279968440:i=6038:nm=6_2763 on theBenchmark for (2763ds/6038Mi)
% 151.04/30.41 % (1576040)lrs+10_1_sil=32000:sp=occurrence:random_seed=3780305862:st=2:i=33334:sd=3:ss=included:sgt=32_2762 on theBenchmark for (2762ds/33334Mi)
% 151.04/30.41 % (1576032)Instruction limit reached!
% 151.04/30.41 % (1576032)------------------------------
% 151.04/30.41 % (1576032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 151.04/30.41 % (1576032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.04/30.41 % (1576032)CaDiCaL version: 2.1.3
% 151.04/30.41 % (1576032)Termination reason: Instruction limit
% 151.04/30.41 % (1576032)Termination phase: Saturation
% 151.04/30.41 % (1576032)Time elapsed: 2.735 s
% 151.04/30.41 % (1576032)Peak memory usage: 115 MB
% 151.04/30.41 % (1576032)Instructions burned: 4836 (million)
% 151.04/30.41 % (1576043)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=1005838549:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2758 on theBenchmark for (2758ds/1008Mi)
% 151.04/30.41 % (1576043)Instruction limit reached!
% 151.04/30.41 % (1576043)------------------------------
% 151.04/30.41 % (1576043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 151.04/30.41 % (1576043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.04/30.41 % (1576043)CaDiCaL version: 2.1.3
% 151.04/30.41 % (1576043)Termination reason: Instruction limit
% 151.04/30.41 % (1576043)Termination phase: Saturation
% 151.04/30.41 % (1576043)Time elapsed: 0.554 s
% 151.04/30.41 % (1576043)Peak memory usage: 97 MB
% 151.04/30.41 % (1576043)Instructions burned: 1010 (million)
% 151.04/30.41 % (1576045)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=2074524662:i=8327:s2at=5:bd=preordered_2751 on theBenchmark for (2751ds/8327Mi)
% 151.04/30.41 % (1576039)Instruction limit reached!
% 151.04/30.41 % (1576039)------------------------------
% 151.04/30.41 % (1576039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 151.04/30.41 % (1576039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.04/30.41 % (1576039)CaDiCaL version: 2.1.3
% 151.04/30.41 % (1576039)Termination reason: Instruction limit
% 151.04/30.41 % (1576039)Termination phase: Saturation
% 151.04/30.41 % (1576039)Time elapsed: 2.855 s
% 151.04/30.41 % (1576039)Peak memory usage: 154 MB
% 151.04/30.41 % (1576039)Instructions burned: 6039 (million)
% 151.04/30.41 % (1576047)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=2000044785:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2733 on theBenchmark for (2733ds/1083Mi)
% 151.04/30.41 % (1576047)Instruction limit reached!
% 151.04/30.41 % (1576047)------------------------------
% 151.04/30.41 % (1576047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 151.04/30.41 % (1576047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.04/30.41 % (1576047)CaDiCaL version: 2.1.3
% 151.04/30.41 % (1576047)Termination reason: Instruction limit
% 151.04/30.41 % (1576047)Termination phase: Saturation
% 151.04/30.41 % (1576047)Time elapsed: 0.461 s
% 151.04/30.41 % (1576047)Peak memory usage: 96 MB
% 151.04/30.41 % (1576047)Instructions burned: 1085 (million)
% 151.04/30.41 % (1576049)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=2391754235:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2727 on theBenchmark for (2727ds/1084Mi)
% 151.04/30.41 % (1576049)Instruction limit reached!
% 151.04/30.41 % (1576049)------------------------------
% 151.04/30.41 % (1576049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 151.04/30.41 % (1576049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 151.04/30.41 % (1576049)CaDiCaL version: 2.1.3
% 151.04/30.41 % (1576049)Termination reason: Instruction limit
% 151.04/30.41 % (1576049)Termination phase: Saturation
% 151.04/30.41 % (1576049)Time elapsed: 0.554 s
% 151.04/30.41 % (1576049)Peak memory usage: 97 MB
% 151.04/30.41 % (1576049)Instructions burned: 1086 (million)
% 151.04/30.41 % (1576051)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=1787828762:i=6995:s2at=5:gtg=all_2720 on theBenchmark for (2720ds/6995Mi)
% 151.04/30.41 % (1575926)First to succeed.
% 151.04/30.41 % (1575926)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1575921"
% 151.04/30.41 % (1575926)Refutation found. Thanks to Tanya!
% 151.04/30.41 % SZS status Theorem for theBenchmark
% 151.04/30.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/30.60 % (1575926)------------------------------
% 0.16/30.60 % (1575926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/30.60 % (1575926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/30.60 % (1575926)CaDiCaL version: 2.1.3
% 0.16/30.60 % (1575926)Termination reason: Refutation
% 0.16/30.60 % (1575926)Time elapsed: 29.237 s
% 0.16/30.60 % (1575926)Peak memory usage: 339 MB
% 0.16/30.60 % (1575926)Instructions burned: 45219 (million)
% 0.16/30.60 % (1575926)------------------------------
% 0.16/30.60 % (1575926)------------------------------
% 0.16/30.60 % (1575921)Success in time 29.772 s
% 0.16/30.60 % Vampire exiting
%------------------------------------------------------------------------------