%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW211+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:39:38 PM UTC 2026
% Result : Theorem 182.35s 36.50s
% Output : Refutation 182.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 24
% Syntax : Number of formulae : 102 ( 85 unt; 0 def)
% Number of atoms : 128 ( 60 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 32 ~; 20 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 11 con; 0-5 aty)
% Number of variables : 149 ( 149 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1,X2] :
( class_RealVector_Oreal__normed__vector(X2)
=> c_RealVector_Onorm__class_Onorm(X2,c_Groups_Ominus__class_Ominus(X2,X1,X0)) = c_RealVector_Onorm__class_Onorm(X2,c_Groups_Ominus__class_Ominus(X2,X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__minus__commute) ).
fof(f14,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( c_Fun_Ocomp(X6,X5,X4,X3,X2) = X1
=> hAPP(X3,hAPP(X2,X0)) = hAPP(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_o__eq__dest__lhs) ).
fof(f47,axiom,
! [X0,X1,X2,X3] :
( class_Orderings_Opreorder(X3)
=> ( c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
=> ( c_Orderings_Oord__class_Oless(X3,X1,X0)
=> c_Orderings_Oord__class_Oless(X3,X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__le__less__trans) ).
fof(f283,axiom,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__norm__def) ).
fof(f299,axiom,
! [X0,X1] : c_Complex_OIm(c_Complex_Ocomplex_OComplex(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Im) ).
fof(f300,axiom,
! [X0,X1] : c_Complex_ORe(c_Complex_Ocomplex_OComplex(X1,X0)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Re) ).
fof(f301,axiom,
! [X0,X1] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X0)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(X1),c_Complex_ORe(X0))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(X1),c_Complex_OIm(X0))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_metric__bound__lemma) ).
fof(f315,axiom,
! [X0,X1] : c_Complex_OIm(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X0)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(X1),c_Complex_OIm(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Im_Odiff) ).
fof(f316,axiom,
! [X0,X1] : c_Complex_ORe(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X0)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(X1),c_Complex_ORe(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Re_Odiff) ).
fof(f324,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/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(f348,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096abs_A_IRe_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ax_J_A_L_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_A_L_Ae_A_P_A2_096) ).
fof(f358,axiom,
! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__sum__of__halves) ).
fof(f363,axiom,
! [X0] : c_Int_OBit1(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Bit1__def) ).
fof(f406,axiom,
! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Bit0__def) ).
fof(f407,axiom,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Pls) ).
fof(f411,axiom,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit0(X0)) = c_Int_OBit0(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Bit0__Bit0) ).
fof(f491,axiom,
! [X0,X1,X2] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__assoc) ).
fof(f564,axiom,
! [X0] : c_Int_Osucc(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_succ__def) ).
fof(f569,axiom,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit1(X0)) = c_Int_OBit0(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Int_Osucc(X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Bit1__Bit1) ).
fof(f1110,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
fof(f1130,axiom,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).
fof(f1136,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Opreorder) ).
fof(f1163,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f1230,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),v_n____)),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),v_e____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1231,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),v_n____)),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),v_e____),
inference(negated_conjecture,[status(cth)],[f1230]) ).
fof(f1234,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),v_n____)),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),v_e____),
inference(flattening,[],[f1231]) ).
fof(f1236,plain,
! [X0,X1,X2] :
( c_RealVector_Onorm__class_Onorm(X2,c_Groups_Ominus__class_Ominus(X2,X1,X0)) = c_RealVector_Onorm__class_Onorm(X2,c_Groups_Ominus__class_Ominus(X2,X0,X1))
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f1240,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( hAPP(X3,hAPP(X2,X0)) = hAPP(X1,X0)
| c_Fun_Ocomp(X6,X5,X4,X3,X2) != X1 ),
inference(ennf_transformation,[],[f14]) ).
fof(f1266,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless(X3,X2,X0)
| ~ c_Orderings_Oord__class_Oless(X3,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Orderings_Opreorder(X3) ),
inference(ennf_transformation,[],[f47]) ).
fof(f1267,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless(X3,X2,X0)
| ~ c_Orderings_Oord__class_Oless(X3,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Orderings_Opreorder(X3) ),
inference(flattening,[],[f1266]) ).
fof(f1571,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,[],[f324]) ).
fof(f2575,plain,
! [X2,X0,X1] :
( ~ class_RealVector_Oreal__normed__vector(X2)
| c_RealVector_Onorm__class_Onorm(X2,c_Groups_Ominus__class_Ominus(X2,X1,X0)) = c_RealVector_Onorm__class_Onorm(X2,c_Groups_Ominus__class_Ominus(X2,X0,X1)) ),
inference(cnf_transformation,[],[f1236]) ).
fof(f2585,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( hAPP(X1,X0) = hAPP(X3,hAPP(X2,X0))
| c_Fun_Ocomp(X6,X5,X4,X3,X2) != X1 ),
inference(cnf_transformation,[],[f1240]) ).
fof(f2633,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Oord__class_Oless(X3,X2,X0)
| ~ c_Orderings_Oord__class_Oless(X3,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
| ~ class_Orderings_Opreorder(X3) ),
inference(cnf_transformation,[],[f1267]) ).
fof(f2960,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f283]) ).
fof(f2979,plain,
! [X0,X1] : c_Complex_OIm(c_Complex_Ocomplex_OComplex(X1,X0)) = X0,
inference(cnf_transformation,[],[f299]) ).
fof(f2980,plain,
! [X0,X1] : c_Complex_ORe(c_Complex_Ocomplex_OComplex(X1,X0)) = X1,
inference(cnf_transformation,[],[f300]) ).
fof(f2981,plain,
! [X0,X1] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X0)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(X1),c_Complex_ORe(X0))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(X1),c_Complex_OIm(X0))))),
inference(cnf_transformation,[],[f301]) ).
fof(f2997,plain,
! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(X1),c_Complex_OIm(X0)) = c_Complex_OIm(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X0)),
inference(cnf_transformation,[],[f315]) ).
fof(f2998,plain,
! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(X1),c_Complex_ORe(X0)) = c_Complex_ORe(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X0)),
inference(cnf_transformation,[],[f316]) ).
fof(f3006,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,[],[f1571]) ).
fof(f3037,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),
inference(cnf_transformation,[],[f348]) ).
fof(f3054,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = X0,
inference(cnf_transformation,[],[f358]) ).
fof(f3059,plain,
! [X0] : c_Int_OBit1(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),
inference(cnf_transformation,[],[f363]) ).
fof(f3123,plain,
! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
inference(cnf_transformation,[],[f406]) ).
fof(f3124,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0) = X0,
inference(cnf_transformation,[],[f407]) ).
fof(f3128,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit0(X1),c_Int_OBit0(X0)) = c_Int_OBit0(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)),
inference(cnf_transformation,[],[f411]) ).
fof(f3251,plain,
! [X2,X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)),
inference(cnf_transformation,[],[f491]) ).
fof(f3359,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Int_Osucc(X0),
inference(cnf_transformation,[],[f564]) ).
fof(f3366,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(X1),c_Int_OBit1(X0)) = c_Int_OBit0(c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Int_Osucc(X0))),
inference(cnf_transformation,[],[f569]) ).
fof(f4110,plain,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1110]) ).
fof(f4130,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1130]) ).
fof(f4136,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1136]) ).
fof(f4163,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1163]) ).
fof(f4230,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),v_n____)),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),v_e____),
inference(cnf_transformation,[],[f1234]) ).
fof(f4231,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))))),
inference(definition_unfolding,[],[f3037,f3123,f3059,f3123,f3059]) ).
fof(f4240,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))))) = X0,
inference(definition_unfolding,[],[f3054,f3123,f3059,f3123,f3059]) ).
fof(f4288,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)),
inference(definition_unfolding,[],[f3128,f3123,f3123,f3123]) ).
fof(f4352,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oone__class_Oone(tc_Int_Oint)))),
inference(definition_unfolding,[],[f3366,f3059,f3059,f3123,f3359]) ).
fof(f4434,plain,
! [X2,X3,X0,X6,X4,X5] : hAPP(X3,hAPP(X2,X0)) = hAPP(c_Fun_Ocomp(X6,X5,X4,X3,X2),X0),
inference(equality_resolution,[],[f2585]) ).
fof(f4699,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0))),
inference(forward_demodulation,[],[f4288,f3251]) ).
fof(f4728,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint))))))) = X0,
inference(forward_demodulation,[],[f4240,f4352]) ).
fof(f4737,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)))))))),
inference(forward_demodulation,[],[f4231,f4352]) ).
fof(f4738,plain,
! [X0,X1] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X0)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(X1),c_Complex_ORe(X0))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Complex_OIm(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X0))))),
inference(forward_demodulation,[],[f2981,f2997]) ).
fof(f4789,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0))) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0))),
inference(forward_demodulation,[],[f4699,f3251]) ).
fof(f4807,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint))))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)))))))) = X0,
inference(forward_demodulation,[],[f4728,f3251]) ).
fof(f4816,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint))))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint))))))))),
inference(forward_demodulation,[],[f4737,f3251]) ).
fof(f4817,plain,
! [X0,X1] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X0)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Complex_ORe(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X0))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Complex_OIm(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X0))))),
inference(forward_demodulation,[],[f4738,f2998]) ).
fof(f4861,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint))))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)))))))) = X0,
inference(forward_demodulation,[],[f4807,f4789]) ).
fof(f4870,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint))))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint))))))))),
inference(forward_demodulation,[],[f4816,f4789]) ).
fof(f4907,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint))))))) = X0,
inference(forward_demodulation,[],[f4861,f3124]) ).
fof(f4916,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)))))))),
inference(forward_demodulation,[],[f4870,f3124]) ).
fof(f4937,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)))))) = X0,
inference(forward_demodulation,[],[f4907,f3124]) ).
fof(f4942,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint))))))),
inference(forward_demodulation,[],[f4916,f3124]) ).
fof(f4962,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint))))))) = X0,
inference(forward_demodulation,[],[f4937,f3251]) ).
fof(f4967,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oone__class_Oone(tc_Int_Oint)))))))),
inference(forward_demodulation,[],[f4942,f3251]) ).
fof(f4986,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))))) = X0,
inference(forward_demodulation,[],[f4962,f4789]) ).
fof(f4991,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))))),
inference(forward_demodulation,[],[f4967,f4789]) ).
fof(f5010,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))) = X0,
inference(forward_demodulation,[],[f4986,f3124]) ).
fof(f5015,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))))),
inference(forward_demodulation,[],[f4991,f3124]) ).
fof(f5034,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))) = X0,
inference(forward_demodulation,[],[f5010,f3124]) ).
fof(f5039,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e____,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),
inference(forward_demodulation,[],[f5015,f3124]) ).
fof(f5044,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_x____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),v_e____),
inference(forward_demodulation,[],[f5039,f5034]) ).
fof(f6990,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0),
inference(resolution,[],[f3006,f4130]) ).
fof(f8399,plain,
! [X2,X0,X1] : c_Complex_OIm(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X0),X2)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_Complex_OIm(X2)),
inference(superposition,[],[f2997,f2979]) ).
fof(f8420,plain,
! [X2,X0,X1] : c_Complex_ORe(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X0,X1),X2)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_Complex_ORe(X2)),
inference(superposition,[],[f2998,f2980]) ).
fof(f11283,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_e____)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),v_n____)),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),X0)
| ~ class_Orderings_Opreorder(tc_RealDef_Oreal) ),
inference(resolution,[],[f2633,f4230]) ).
fof(f11380,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_e____)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),v_n____)),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),X0) ),
inference(forward_subsumption_resolution,[],[f11283,f4136]) ).
fof(f11403,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))),c_Complex_Ocomplex_OComplex(v_x____,v_y____))),X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_e____) ),
inference(forward_demodulation,[],[f11380,f4434]) ).
fof(f14693,plain,
! [X0,X1] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0)),
inference(resolution,[],[f2575,f4110]) ).
fof(f14694,plain,
! [X0,X1] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X0)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,X1)),
inference(resolution,[],[f2575,f4163]) ).
fof(f14695,plain,
! [X0,X1] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0)),
inference(forward_demodulation,[],[f14693,f2960]) ).
fof(f14696,plain,
! [X0,X1] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1)),
inference(forward_demodulation,[],[f14695,f2960]) ).
fof(f16896,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(v_x____,v_y____),v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))))),X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_e____) ),
inference(forward_demodulation,[],[f11403,f14694]) ).
fof(f64309,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Complex_ORe(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(v_x____,v_y____),v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Complex_OIm(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(v_x____,v_y____),v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))))))),v_e____),
inference(resolution,[],[f4817,f16896]) ).
fof(f64316,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Complex_ORe(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(v_x____,v_y____),v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_y____,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))))))),v_e____),
inference(forward_demodulation,[],[f64309,f8399]) ).
fof(f64321,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_y____,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Complex_ORe(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(v_x____,v_y____),v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))))))),v_e____),
inference(forward_demodulation,[],[f64316,f6990]) ).
fof(f64326,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_y____,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x____,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))))))),v_e____),
inference(forward_demodulation,[],[f64321,f8420]) ).
fof(f64331,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x____,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_y____,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))))))),v_e____),
inference(forward_demodulation,[],[f64326,f6990]) ).
fof(f186041,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x____,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))),v_y____))),v_e____),
inference(superposition,[],[f5044,f14696]) ).
fof(f186162,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x____,c_Complex_ORe(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____)))))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_y____,c_Complex_OIm(v_s(hAPP(v_f____,hAPP(v_ga____,v_n____))))))),v_e____),
inference(forward_demodulation,[],[f186041,f14696]) ).
fof(f186223,plain,
$false,
inference(forward_subsumption_resolution,[],[f186162,f64331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW211+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n020.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 13:18:19 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.25/2.14 % (154147)Will run a generic schedule for satisfiability detection.
% 13.25/2.14 % (154155)dis+10_1_sil=32000:sp=arity:random_seed=2437763156:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.25/2.14 % (154153)% WARNING: option uhcvi not known.
% 13.25/2.14 % (154152)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1385665169_2999 on theBenchmark for (2999ds/0Mi)
% 13.25/2.14 % (154153)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3704548281:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.25/2.14 % (154156)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=309130299:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.25/2.14 % (154154)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4002619032:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.25/2.14 % (154157)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2911005430:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.25/2.14 % (154158)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2758554937:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.25/2.14 % (154155)Instruction limit reached!
% 13.25/2.14 % (154155)------------------------------
% 13.25/2.14 % (154155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.14 % (154155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.14 % (154155)CaDiCaL version: 2.1.3
% 13.25/2.14 % (154155)Termination reason: Instruction limit
% 13.25/2.14 % (154155)Termination phase: Saturation
% 13.25/2.14 % (154155)Time elapsed: 0.028 s
% 13.25/2.14 % (154155)Peak memory usage: 14 MB
% 13.25/2.14 % (154155)Instructions burned: 103 (million)
% 13.25/2.14 % (154166)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3662999638:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.25/2.14 % (154156)Instruction limit reached!
% 13.25/2.14 % (154156)------------------------------
% 13.25/2.14 % (154156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.14 % (154156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.14 % (154156)CaDiCaL version: 2.1.3
% 13.25/2.14 % (154156)Termination reason: Instruction limit
% 13.25/2.14 % (154156)Termination phase: Saturation
% 13.25/2.14 % (154156)Time elapsed: 0.057 s
% 13.25/2.14 % (154156)Peak memory usage: 14 MB
% 13.25/2.14 % (154156)Instructions burned: 117 (million)
% 13.25/2.14 % (154157)Instruction limit reached!
% 13.25/2.14 % (154157)------------------------------
% 13.25/2.14 % (154157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.14 % (154157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.14 % (154157)CaDiCaL version: 2.1.3
% 13.25/2.14 % (154157)Termination reason: Instruction limit
% 13.25/2.14 % (154157)Termination phase: Saturation
% 13.25/2.14 % (154157)Time elapsed: 0.070 s
% 13.25/2.14 % (154157)Peak memory usage: 14 MB
% 13.25/2.14 % (154157)Instructions burned: 131 (million)
% 13.25/2.14 % (154177)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2275136543:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 13.25/2.14 % (154178)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1740439858:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.25/2.14 % (154158)Instruction limit reached!
% 13.25/2.14 % (154158)------------------------------
% 13.25/2.14 % (154158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.14 % (154158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.14 % (154158)CaDiCaL version: 2.1.3
% 13.25/2.14 % (154158)Termination reason: Instruction limit
% 13.25/2.14 % (154158)Termination phase: Saturation
% 13.25/2.14 % (154158)Time elapsed: 0.091 s
% 13.25/2.14 % (154158)Peak memory usage: 15 MB
% 13.25/2.14 % (154158)Instructions burned: 160 (million)
% 13.25/2.14 % (154186)ott-21_1_sil=16000:fs=off:random_seed=2879689858:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.25/2.14 % (154177)Instruction limit reached!
% 13.25/2.14 % (154177)------------------------------
% 13.25/2.14 % (154177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.14 % (154177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.14 % (154177)CaDiCaL version: 2.1.3
% 13.25/2.14 % (154177)Termination reason: Instruction limit
% 43.46/6.43 % (154177)Termination phase: Saturation
% 43.46/6.43 % (154177)Time elapsed: 0.062 s
% 43.46/6.43 % (154177)Peak memory usage: 14 MB
% 43.46/6.43 % (154177)Instructions burned: 132 (million)
% 43.46/6.43 % (154202)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2963683438:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 43.46/6.43 % (154186)Instruction limit reached!
% 43.46/6.43 % (154186)------------------------------
% 43.46/6.43 % (154186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.46/6.43 % (154186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.46/6.43 % (154186)CaDiCaL version: 2.1.3
% 43.46/6.43 % (154186)Termination reason: Instruction limit
% 43.46/6.43 % (154186)Termination phase: Saturation
% 43.46/6.43 % (154186)Time elapsed: 0.090 s
% 43.46/6.43 % (154186)Peak memory usage: 14 MB
% 43.46/6.43 % (154186)Instructions burned: 180 (million)
% 43.46/6.43 % (154166)Instruction limit reached!
% 43.46/6.43 % (154166)------------------------------
% 43.46/6.43 % (154166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.46/6.43 % (154166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.46/6.43 % (154166)CaDiCaL version: 2.1.3
% 43.46/6.43 % (154166)Termination reason: Instruction limit
% 43.46/6.43 % (154166)Termination phase: Finite model building preprocessing
% 43.46/6.43 % (154166)Time elapsed: 0.188 s
% 43.46/6.43 % (154166)Peak memory usage: 22 MB
% 43.46/6.43 % (154166)Instructions burned: 729 (million)
% 43.46/6.43 % (154223)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2557966355:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 43.46/6.43 % (154234)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1362546684:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 43.46/6.43 % TRYING [1]
% 43.46/6.43 % (154202)Instruction limit reached!
% 43.46/6.43 % (154202)------------------------------
% 43.46/6.43 % (154202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.46/6.43 % TRYING [2]
% 43.46/6.43 % (154202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.46/6.43 % (154202)CaDiCaL version: 2.1.3
% 43.46/6.43 % (154202)Termination reason: Instruction limit
% 43.46/6.43 % (154202)Termination phase: Saturation
% 43.46/6.43 % (154202)Time elapsed: 0.315 s
% 43.46/6.43 % (154202)Peak memory usage: 16 MB
% 43.46/6.43 % (154202)Instructions burned: 478 (million)
% 43.46/6.43 % (154178)Instruction limit reached!
% 43.46/6.43 % (154178)------------------------------
% 43.46/6.43 % (154178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.46/6.43 % (154178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.46/6.43 % (154178)CaDiCaL version: 2.1.3
% 43.46/6.43 % (154178)Termination reason: Instruction limit
% 43.46/6.43 % (154178)Termination phase: Saturation
% 43.46/6.43 % (154178)Time elapsed: 0.397 s
% 43.46/6.43 % (154178)Peak memory usage: 19 MB
% 43.46/6.43 % (154178)Instructions burned: 684 (million)
% 43.46/6.43 % (154289)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=812600091:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 43.46/6.43 % (154291)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2368887616:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 43.46/6.43 % (154234)Instruction limit reached!
% 43.46/6.43 % (154234)------------------------------
% 43.46/6.43 % (154234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.46/6.43 % (154234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.46/6.43 % (154234)CaDiCaL version: 2.1.3
% 43.46/6.43 % (154234)Termination reason: Instruction limit
% 43.46/6.43 % (154234)Termination phase: Saturation
% 43.46/6.43 % (154234)Time elapsed: 0.389 s
% 43.46/6.43 % (154234)Peak memory usage: 22 MB
% 43.46/6.43 % (154234)Instructions burned: 1182 (million)
% 43.46/6.43 % (154314)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2226079903:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 43.46/6.43 % (154223)Instruction limit reached!
% 43.46/6.43 % (154223)------------------------------
% 43.46/6.43 % (154223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.46/6.43 % (154223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.46/6.43 % (154223)CaDiCaL version: 2.1.3
% 43.46/6.43 % (154223)Termination reason: Instruction limit
% 43.46/6.43 % (154223)Termination phase: Finite model building constraint generation
% 102.62/14.82 % (154223)Time elapsed: 0.427 s
% 102.62/14.82 % (154223)Peak memory usage: 24 MB
% 102.62/14.82 % (154223)Instructions burned: 868 (million)
% 102.62/14.82 % (154316)fmb+10_1_sil=64000:random_seed=3378482282:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 102.62/14.82 % TRYING [3]
% 102.62/14.82 % (154314)Instruction limit reached!
% 102.62/14.82 % (154314)------------------------------
% 102.62/14.82 % (154314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.62/14.82 % (154314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.62/14.82 % (154314)CaDiCaL version: 2.1.3
% 102.62/14.82 % (154314)Termination reason: Instruction limit
% 102.62/14.82 % (154314)Termination phase: Saturation
% 102.62/14.82 % (154314)Time elapsed: 0.244 s
% 102.62/14.82 % (154314)Peak memory usage: 20 MB
% 102.62/14.82 % (154314)Instructions burned: 882 (million)
% 102.62/14.82 % (154318)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4028191114:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 102.62/14.82 % (154289)Cannot represent all propositional literals internally
% 102.62/14.82 % (154289)Refutation not found, incomplete strategy
% 102.62/14.82 % (154289)------------------------------
% 102.62/14.82 % (154289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.62/14.82 % (154289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.62/14.82 % (154289)CaDiCaL version: 2.1.3
% 102.62/14.82 % (154289)Termination reason: Refutation not found, incomplete strategy
% 102.62/14.82 % (154289)Time elapsed: 0.416 s
% 102.62/14.82 % (154289)Peak memory usage: 24 MB
% 102.62/14.82 % (154289)Instructions burned: 866 (million)
% 102.62/14.82 % (154289)------------------------------
% 102.62/14.82 % (154289)------------------------------
% 102.62/14.82 % (154320)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4249869960:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 102.62/14.82 % (154291)Instruction limit reached!
% 102.62/14.82 % (154291)------------------------------
% 102.62/14.82 % (154291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.62/14.82 % (154291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.62/14.82 % (154291)CaDiCaL version: 2.1.3
% 102.62/14.82 % (154291)Termination reason: Instruction limit
% 102.62/14.82 % (154291)Termination phase: Saturation
% 102.62/14.82 % (154291)Time elapsed: 0.452 s
% 102.62/14.82 % (154291)Peak memory usage: 21 MB
% 102.62/14.82 % (154291)Instructions burned: 692 (million)
% 102.62/14.82 % (154322)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4097882878:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 102.62/14.82 % TRYING [1]
% 102.62/14.82 % (154318)Cannot represent all propositional literals internally
% 102.62/14.82 % (154318)Refutation not found, incomplete strategy
% 102.62/14.82 % (154318)------------------------------
% 102.62/14.82 % (154318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.62/14.82 % (154318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.62/14.82 % (154318)CaDiCaL version: 2.1.3
% 102.62/14.82 % (154318)Termination reason: Refutation not found, incomplete strategy
% 102.62/14.82 % (154318)Time elapsed: 0.216 s
% 102.62/14.82 % (154318)Peak memory usage: 24 MB
% 102.62/14.82 % (154318)Instructions burned: 852 (million)
% 102.62/14.82 % (154318)------------------------------
% 102.62/14.82 % (154318)------------------------------
% 102.62/14.82 % (154324)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3829457789:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 102.62/14.83 % TRYING [2]
% 102.62/14.83 % TRYING [8]
% 102.62/14.83 % (154320)Instruction limit reached!
% 102.62/14.83 % (154320)------------------------------
% 102.62/14.83 % (154320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.62/14.83 % (154320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.62/14.83 % (154320)CaDiCaL version: 2.1.3
% 102.62/14.83 % (154320)Termination reason: Instruction limit
% 102.62/14.83 % (154320)Termination phase: Finite model building constraint generation
% 102.62/14.83 % (154320)Time elapsed: 0.458 s
% 102.62/14.83 % (154320)Peak memory usage: 27 MB
% 102.62/14.83 % (154320)Instructions burned: 921 (million)
% 102.62/14.83 % (154336)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=597979883:i=6324_2985 on theBenchmark for (2985ds/6324Mi)
% 102.62/14.83 % (154324)Instruction limit reached!
% 102.62/14.83 % (154324)------------------------------
% 102.62/14.83 % (154324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 102.62/14.83 % (154324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.96/25.93 % (154324)CaDiCaL version: 2.1.3
% 180.96/25.93 % (154324)Termination reason: Instruction limit
% 180.96/25.93 % (154324)Termination phase: Saturation
% 180.96/25.93 % (154324)Time elapsed: 0.700 s
% 180.96/25.93 % (154324)Peak memory usage: 32 MB
% 180.96/25.93 % (154324)Instructions burned: 1474 (million)
% 180.96/25.93 % (154350)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=752128238:fmbsr=2.30978:i=2174_2980 on theBenchmark for (2980ds/2174Mi)
% 180.96/25.93 % (154336)Cannot represent all propositional literals internally
% 180.96/25.93 % (154336)Refutation not found, incomplete strategy
% 180.96/25.93 % (154336)------------------------------
% 180.96/25.93 % (154336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.96/25.93 % (154336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.96/25.93 % (154336)CaDiCaL version: 2.1.3
% 180.96/25.93 % (154336)Termination reason: Refutation not found, incomplete strategy
% 180.96/25.93 % (154336)Time elapsed: 0.650 s
% 180.96/25.93 % (154336)Peak memory usage: 25 MB
% 180.96/25.93 % (154336)Instructions burned: 888 (million)
% 180.96/25.93 % (154336)------------------------------
% 180.96/25.93 % (154336)------------------------------
% 180.96/25.93 % (154357)ott-2_1_sil=16000:newcnf=on:random_seed=2424304982:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2978 on theBenchmark for (2978ds/869Mi)
% 180.96/25.93 % TRYING [4]
% 180.96/25.93 % TRYING [3]
% 180.96/25.93 % (154350)Instruction limit reached!
% 180.96/25.93 % (154350)------------------------------
% 180.96/25.93 % (154350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.96/25.93 % (154350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.96/25.93 % (154350)CaDiCaL version: 2.1.3
% 180.96/25.93 % (154350)Termination reason: Instruction limit
% 180.96/25.93 % (154350)Termination phase: Finite model building preprocessing
% 180.96/25.93 % (154350)Time elapsed: 1.006 s
% 180.96/25.93 % (154350)Peak memory usage: 30 MB
% 180.96/25.93 % (154350)Instructions burned: 2174 (million)
% 180.96/25.93 % (154371)ott+10_1_sil=32000:tgt=ground:random_seed=2992188509:i=5114:av=off_2970 on theBenchmark for (2970ds/5114Mi)
% 180.96/25.93 % (154357)Instruction limit reached!
% 180.96/25.93 % (154357)------------------------------
% 180.96/25.93 % (154357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.96/25.93 % (154357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.96/25.93 % (154357)CaDiCaL version: 2.1.3
% 180.96/25.93 % (154357)Termination reason: Instruction limit
% 180.96/25.93 % (154357)Termination phase: Saturation
% 180.96/25.93 % (154357)Time elapsed: 0.863 s
% 180.96/25.93 % (154357)Peak memory usage: 20 MB
% 180.96/25.93 % (154357)Instructions burned: 869 (million)
% 180.96/25.93 % (154373)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=857271111:i=54282_2969 on theBenchmark for (2969ds/54282Mi)
% 180.96/25.93 % TRYING [1]
% 180.96/25.93 % TRYING [2]
% 180.96/25.93 % TRYING [3]
% 180.96/25.93 % (154322)Instruction limit reached!
% 180.96/25.93 % (154322)------------------------------
% 180.96/25.93 % (154322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.96/25.93 % (154322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.96/25.93 % (154322)CaDiCaL version: 2.1.3
% 180.96/25.93 % (154322)Termination reason: Instruction limit
% 180.96/25.93 % (154322)Termination phase: Saturation
% 180.96/25.93 % (154322)Time elapsed: 3.865 s
% 180.96/25.93 % (154322)Peak memory usage: 39 MB
% 180.96/25.93 % (154322)Instructions burned: 5132 (million)
% 180.96/25.93 % TRYING [4]
% 180.96/25.93 % (154536)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1333761865:i=3512:aac=none_2950 on theBenchmark for (2950ds/3512Mi)
% 180.96/25.93 % (154371)Instruction limit reached!
% 180.96/25.93 % (154371)------------------------------
% 180.96/25.93 % (154371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.96/25.93 % (154371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 180.96/25.93 % (154371)CaDiCaL version: 2.1.3
% 180.96/25.93 % (154371)Termination reason: Instruction limit
% 180.96/25.93 % (154371)Termination phase: Saturation
% 180.96/25.93 % (154371)Time elapsed: 2.012 s
% 180.96/25.93 % (154371)Peak memory usage: 37 MB
% 180.96/25.93 % (154371)Instructions burned: 5115 (million)
% 180.96/25.93 % (154538)dis+21_1_sil=32000:sas=cadical:random_seed=923627441:i=3773:amm=off_2950 on theBenchmark for (2950ds/3773Mi)
% 180.96/25.93 % (154538)Instruction limit reached!
% 180.96/25.93 % (154538)------------------------------
% 180.96/25.93 % (154538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 180.96/25.93 % (154538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.35/36.50 % (154538)CaDiCaL version: 2.1.3
% 182.35/36.50 % (154538)Termination reason: Instruction limit
% 182.35/36.50 % (154538)Termination phase: Saturation
% 182.35/36.50 % (154538)Time elapsed: 1.198 s
% 182.35/36.50 % (154538)Peak memory usage: 34 MB
% 182.35/36.50 % (154538)Instructions burned: 3775 (million)
% 182.35/36.50 % (154540)ott+11_1_sil=16000:gs=on:random_seed=421428637:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2938 on theBenchmark for (2938ds/2251Mi)
% 182.35/36.50 % (154540)Instruction limit reached!
% 182.35/36.50 % (154540)------------------------------
% 182.35/36.50 % (154540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.35/36.50 % (154540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.35/36.50 % (154540)CaDiCaL version: 2.1.3
% 182.35/36.50 % (154540)Termination reason: Instruction limit
% 182.35/36.50 % (154540)Termination phase: Saturation
% 182.35/36.50 % (154540)Time elapsed: 0.698 s
% 182.35/36.50 % (154540)Peak memory usage: 28 MB
% 182.35/36.50 % (154540)Instructions burned: 2253 (million)
% 182.35/36.50 % (154542)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1857871107:fmbsr=1.6:i=67534_2930 on theBenchmark for (2930ds/67534Mi)
% 182.35/36.50 % TRYING [4]
% 182.35/36.50 % (154536)Instruction limit reached!
% 182.35/36.50 % (154536)------------------------------
% 182.35/36.50 % (154536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.35/36.50 % (154536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.35/36.50 % (154536)CaDiCaL version: 2.1.3
% 182.35/36.50 % (154536)Termination reason: Instruction limit
% 182.35/36.50 % (154536)Termination phase: Saturation
% 182.35/36.50 % (154536)Time elapsed: 2.034 s
% 182.35/36.50 % (154536)Peak memory usage: 33 MB
% 182.35/36.50 % (154536)Instructions burned: 3513 (million)
% 182.35/36.50 % (154544)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=530318021:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2930 on theBenchmark for (2930ds/4591Mi)
% 182.35/36.50 % TRYING [5]
% 182.35/36.50 % (154544)Instruction limit reached!
% 182.35/36.50 % (154544)------------------------------
% 182.35/36.50 % (154544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.35/36.50 % (154544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.35/36.50 % (154544)CaDiCaL version: 2.1.3
% 182.35/36.50 % (154544)Termination reason: Instruction limit
% 182.35/36.50 % (154544)Termination phase: Saturation
% 182.35/36.50 % (154544)Time elapsed: 2.579 s
% 182.35/36.50 % (154544)Peak memory usage: 57 MB
% 182.35/36.50 % (154544)Instructions burned: 4592 (million)
% 182.35/36.50 % (154546)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1910766548:i=29340_2904 on theBenchmark for (2904ds/29340Mi)
% 182.35/36.50 % TRYING [5]
% 182.35/36.50 % TRYING [7]
% 182.35/36.50 % (154316)Instruction limit reached!
% 182.35/36.50 % (154316)------------------------------
% 182.35/36.50 % (154316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.35/36.50 % (154316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.35/36.50 % (154316)CaDiCaL version: 2.1.3
% 182.35/36.50 % (154316)Termination reason: Instruction limit
% 182.35/36.50 % (154316)Termination phase: Finite model building SAT solving
% 182.35/36.50 % (154316)Time elapsed: 10.585 s
% 182.35/36.50 % (154316)Peak memory usage: 571 MB
% 182.35/36.50 % (154316)Instructions burned: 22063 (million)
% 182.35/36.50 % (154548)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1647439255:i=5211_2885 on theBenchmark for (2885ds/5211Mi)
% 182.35/36.50 % (154548)Instruction limit reached!
% 182.35/36.50 % (154548)------------------------------
% 182.35/36.50 % (154548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.35/36.50 % (154548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.35/36.50 % (154548)CaDiCaL version: 2.1.3
% 182.35/36.50 % (154548)Termination reason: Instruction limit
% 182.35/36.50 % (154548)Termination phase: Saturation
% 182.35/36.50 % (154548)Time elapsed: 2.710 s
% 182.35/36.50 % (154548)Peak memory usage: 44 MB
% 182.35/36.50 % (154548)Instructions burned: 5212 (million)
% 182.35/36.50 % (154552)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=2115644711:i=5497:nm=2_2858 on theBenchmark for (2858ds/5497Mi)
% 182.35/36.50 % (154552)Cannot represent all propositional literals internally
% 182.35/36.50 % (154552)Refutation not found, incomplete strategy
% 182.35/36.50 % (154552)------------------------------
% 182.35/36.50 % (154552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.35/36.50 % (154552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.35/36.50 % (154552)CaDiCaL version: 2.1.3
% 182.35/36.50 % (154552)Termination reason: Refutation not found, incomplete strategy
% 182.35/36.50 % (154552)Time elapsed: 0.420 s
% 182.35/36.50 % (154552)Peak memory usage: 25 MB
% 182.35/36.50 % (154552)Instructions burned: 850 (million)
% 182.35/36.50 % (154552)------------------------------
% 182.35/36.50 % (154552)------------------------------
% 182.35/36.50 % (154614)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3739213520:fmbsr=2:i=46332_2854 on theBenchmark for (2854ds/46332Mi)
% 182.35/36.50 % (154614)Cannot represent all propositional literals internally
% 182.35/36.50 % (154614)Refutation not found, incomplete strategy
% 182.35/36.50 % (154614)------------------------------
% 182.35/36.50 % (154614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.35/36.50 % (154614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.35/36.50 % (154614)CaDiCaL version: 2.1.3
% 182.35/36.50 % (154614)Termination reason: Refutation not found, incomplete strategy
% 182.35/36.50 % (154614)Time elapsed: 0.414 s
% 182.35/36.50 % (154614)Peak memory usage: 22 MB
% 182.35/36.50 % (154614)Instructions burned: 866 (million)
% 182.35/36.50 % (154614)------------------------------
% 182.35/36.50 % (154614)------------------------------
% 182.35/36.50 % (154616)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=3200242400:i=14071_2849 on theBenchmark for (2849ds/14071Mi)
% 182.35/36.50 % TRYING [12]
% 182.35/36.50 % (154542)Instruction limit reached!
% 182.35/36.50 % (154542)------------------------------
% 182.35/36.50 % (154542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.35/36.50 % (154542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.35/36.50 % (154542)CaDiCaL version: 2.1.3
% 182.35/36.50 % (154542)Termination reason: Instruction limit
% 182.35/36.50 % (154542)Termination phase: Finite model building constraint generation
% 182.35/36.50 % (154542)Time elapsed: 12.724 s
% 182.35/36.50 % (154542)Peak memory usage: 3773 MB
% 182.35/36.50 % (154542)Instructions burned: 67541 (million)
% 182.35/36.50 % (154618)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3624881059:i=22565:add=on:rawr=on_2800 on theBenchmark for (2800ds/22565Mi)
% 182.35/36.50 % (154616)Instruction limit reached!
% 182.35/36.50 % (154616)------------------------------
% 182.35/36.50 % (154616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.35/36.50 % (154616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.35/36.50 % (154616)CaDiCaL version: 2.1.3
% 182.35/36.50 % (154616)Termination reason: Instruction limit
% 182.35/36.50 % (154616)Termination phase: Finite model building constraint generation
% 182.35/36.50 % (154616)Time elapsed: 5.036 s
% 182.35/36.50 % (154616)Peak memory usage: 826 MB
% 182.35/36.50 % (154616)Instructions burned: 14071 (million)
% 182.35/36.50 % (154620)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=421611245:i=8173:av=off_2798 on theBenchmark for (2798ds/8173Mi)
% 182.35/36.50 % (154546)Instruction limit reached!
% 182.35/36.50 % (154546)------------------------------
% 182.35/36.50 % (154546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.35/36.50 % (154546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.35/36.50 % (154546)CaDiCaL version: 2.1.3
% 182.35/36.50 % (154546)Termination reason: Instruction limit
% 182.35/36.50 % (154546)Termination phase: Saturation
% 182.35/36.50 % (154546)Time elapsed: 14.249 s
% 182.35/36.50 % (154546)Peak memory usage: 133 MB
% 182.35/36.50 % (154546)Instructions burned: 29340 (million)
% 182.35/36.50 % (154622)dis+10_16:1_sil=16000:random_seed=1125173341:i=9155:fsr=off_2761 on theBenchmark for (2761ds/9155Mi)
% 182.35/36.50 % (154373)Instruction limit reached!
% 182.35/36.50 % (154373)------------------------------
% 182.35/36.50 % (154373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.35/36.50 % (154373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.35/36.50 % (154373)CaDiCaL version: 2.1.3
% 182.35/36.50 % (154373)Termination reason: Instruction limit
% 182.35/36.50 % (154373)Termination phase: Finite model building constraint generation
% 182.35/36.50 % (154373)Time elapsed: 21.468 s
% 182.35/36.50 % (154373)Peak memory usage: 2339 MB
% 182.35/36.50 % (154373)Instructions burned: 54283 (million)
% 182.35/36.50 % (154624)ott-3_8_sil=64000:random_seed=3115628457:i=20139:bs=on_2751 on theBenchmark for (2751ds/20139Mi)
% 182.35/36.50 % (154620)Instruction limit reached!
% 182.35/36.50 % (154620)------------------------------
% 182.35/36.50 % (154620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.35/36.50 % (154620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.35/36.50 % (154620)CaDiCaL version: 2.1.3
% 182.35/36.50 % (154620)Termination reason: Instruction limit
% 182.35/36.50 % (154620)Termination phase: Saturation
% 182.35/36.50 % (154620)Time elapsed: 5.479 s
% 182.35/36.50 % (154620)Peak memory usage: 76 MB
% 182.35/36.50 % (154620)Instructions burned: 8173 (million)
% 182.35/36.50 % (154626)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=977416920:fmbsr=2:i=32576_2742 on theBenchmark for (2742ds/32576Mi)
% 182.35/36.50 % TRYING [9]
% 182.35/36.50 % TRYING [6]
% 182.35/36.50 % (154618)Instruction limit reached!
% 182.35/36.50 % (154618)------------------------------
% 182.35/36.50 % (154618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.35/36.50 % (154618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.35/36.50 % (154618)CaDiCaL version: 2.1.3
% 182.35/36.50 % (154618)Termination reason: Instruction limit
% 182.35/36.50 % (154618)Termination phase: Saturation
% 182.35/36.50 % (154618)Time elapsed: 7.680 s
% 182.35/36.50 % (154618)Peak memory usage: 319 MB
% 182.35/36.50 % (154618)Instructions burned: 22566 (million)
% 182.35/36.50 % (154628)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=1719974781:i=11404_2722 on theBenchmark for (2722ds/11404Mi)
% 182.35/36.50 % (154622)Instruction limit reached!
% 182.35/36.50 % (154622)------------------------------
% 182.35/36.50 % (154622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.35/36.50 % (154622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.35/36.50 % (154622)CaDiCaL version: 2.1.3
% 182.35/36.50 % (154622)Termination reason: Instruction limit
% 182.35/36.50 % (154622)Termination phase: Saturation
% 182.35/36.50 % (154622)Time elapsed: 4.792 s
% 182.35/36.50 % (154622)Peak memory usage: 79 MB
% 182.35/36.50 % (154622)Instructions burned: 9155 (million)
% 182.35/36.50 % (154630)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=3240598269:i=14134_2713 on theBenchmark for (2713ds/14134Mi)
% 182.35/36.50 % (154628)Instruction limit reached!
% 182.35/36.50 % (154628)------------------------------
% 182.35/36.50 % (154628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.35/36.50 % (154628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.35/36.50 % (154628)CaDiCaL version: 2.1.3
% 182.35/36.50 % (154628)Termination reason: Instruction limit
% 182.35/36.50 % (154628)Termination phase: Saturation
% 182.35/36.50 % (154628)Time elapsed: 4.174 s
% 182.35/36.50 % (154628)Peak memory usage: 92 MB
% 182.35/36.50 % (154628)Instructions burned: 11405 (million)
% 182.35/36.50 % (154634)dis+33_16_sil=32000:sac=on:random_seed=2853621206:i=15851:nm=0_2680 on theBenchmark for (2680ds/15851Mi)
% 182.35/36.50 % (154630) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-154147-154630"...
% 182.35/36.50 % (154630)...printing done.
% 182.35/36.50 % (154630)Refutation found. Thanks to Tanya!
% 182.35/36.50 % SZS status Theorem for theBenchmark
% 182.35/36.50 % SZS output start Proof for theBenchmark
% See solution above
% 182.35/36.50 % (154630)------------------------------
% 182.35/36.50 % (154630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 182.35/36.50 % (154630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 182.35/36.50 % (154630)CaDiCaL version: 2.1.3
% 182.35/36.50 % (154630)Termination reason: Refutation
% 182.35/36.50 % (154630)Time elapsed: 7.137 s
% 182.35/36.50 % (154630)Peak memory usage: 64 MB
% 182.35/36.50 % (154630)Instructions burned: 10860 (million)
% 182.35/36.50 % (154147)Success in time 36.26 s
% 182.35/36.50 % Vampire exiting
%------------------------------------------------------------------------------