TSTP Solution File: SWW222+1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW222+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:48:55 EDT 2024
% Result : Theorem 267.87s 38.72s
% Output : Refutation 267.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 26
% Syntax : Number of formulae : 122 ( 47 unt; 0 def)
% Number of atoms : 241 ( 59 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 211 ( 92 ~; 90 |; 2 &)
% ( 11 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 9 con; 0-3 aty)
% Number of variables : 95 ( 95 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f207894,plain,
$false,
inference(avatar_sat_refutation,[],[f21145,f21851,f29780,f82770,f82774,f207870]) ).
fof(f207870,plain,
( spl38_3
| ~ spl38_26
| ~ spl38_311
| spl38_986 ),
inference(avatar_contradiction_clause,[],[f207869]) ).
fof(f207869,plain,
( $false
| spl38_3
| ~ spl38_26
| ~ spl38_311
| spl38_986 ),
inference(subsumption_resolution,[],[f207785,f207868]) ).
fof(f207868,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_s____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| spl38_3
| spl38_986 ),
inference(forward_demodulation,[],[f207867,f21306]) ).
fof(f21306,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),
inference(resolution,[],[f3561,f3214]) ).
fof(f3214,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1162]) ).
fof(f1162,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3561,plain,
! [X0] :
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) ),
inference(cnf_transformation,[],[f2252]) ).
fof(f2252,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0))
| ~ class_RealVector_Oreal__normed__vector(X0) ),
inference(ennf_transformation,[],[f1351]) ).
fof(f1351,plain,
! [X0] :
( class_RealVector_Oreal__normed__vector(X0)
=> c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ozero__class_Ozero(X0)) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X6] :
( class_RealVector_Oreal__normed__vector(X6)
=> c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X6,c_Groups_Ozero__class_Ozero(X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f207867,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_s____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| spl38_3
| spl38_986 ),
inference(forward_demodulation,[],[f207806,f21423]) ).
fof(f21423,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,X0),
inference(resolution,[],[f3917,f3303]) ).
fof(f3303,plain,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1183]) ).
fof(f1183,axiom,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3917,plain,
! [X0,X1] :
( ~ class_Groups_Ogroup__add(X1)
| c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ominus__class_Ominus(X1,X0,X0) ),
inference(cnf_transformation,[],[f2444]) ).
fof(f2444,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ominus__class_Ominus(X1,X0,X0)
| ~ class_Groups_Ogroup__add(X1) ),
inference(ennf_transformation,[],[f1617]) ).
fof(f1617,plain,
! [X0,X1] :
( class_Groups_Ogroup__add(X1)
=> c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ominus__class_Ominus(X1,X0,X0) ),
inference(rectify,[],[f120]) ).
fof(f120,axiom,
! [X7,X6] :
( class_Groups_Ogroup__add(X6)
=> c_Groups_Ozero__class_Ozero(X6) = c_Groups_Ominus__class_Ominus(X6,X7,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f207806,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,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_s____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| spl38_3
| spl38_986 ),
inference(backward_demodulation,[],[f82687,f207776]) ).
fof(f207776,plain,
( v_wa____ = v_z____
| spl38_3 ),
inference(trivial_inequality_removal,[],[f207773]) ).
fof(f207773,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| v_wa____ = v_z____
| spl38_3 ),
inference(superposition,[],[f30003,f82986]) ).
fof(f82986,plain,
( c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| spl38_3 ),
inference(resolution,[],[f30384,f5476]) ).
fof(f5476,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))
| spl38_3 ),
inference(avatar_component_clause,[],[f5474]) ).
fof(f5474,plain,
( spl38_3
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_3])]) ).
fof(f30384,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0))
| c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = X0 ),
inference(resolution,[],[f3833,f3214]) ).
fof(f3833,plain,
! [X0,X1] :
( ~ class_RealVector_Oreal__normed__vector(X1)
| c_Groups_Ozero__class_Ozero(X1) = X0
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0)) ),
inference(cnf_transformation,[],[f2388]) ).
fof(f2388,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(ennf_transformation,[],[f1565]) ).
fof(f1565,plain,
! [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))
<=> c_Groups_Ozero__class_Ozero(X1) != X0 ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X14,X6] :
( class_RealVector_Oreal__normed__vector(X6)
=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X14))
<=> c_Groups_Ozero__class_Ozero(X6) != X14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f30003,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f4437,f3294]) ).
fof(f3294,plain,
class_Groups_Oab__group__add(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1177]) ).
fof(f1177,axiom,
class_Groups_Oab__group__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f4437,plain,
! [X2,X0,X1] :
( ~ class_Groups_Oab__group__add(X2)
| c_Groups_Ozero__class_Ozero(X2) != c_Groups_Ominus__class_Ominus(X2,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f2762]) ).
fof(f2762,plain,
! [X0,X1,X2] :
( ( X0 = X1
<=> c_Groups_Ozero__class_Ozero(X2) = c_Groups_Ominus__class_Ominus(X2,X1,X0) )
| ~ class_Groups_Oab__group__add(X2) ),
inference(ennf_transformation,[],[f1944]) ).
fof(f1944,plain,
! [X0,X1,X2] :
( class_Groups_Oab__group__add(X2)
=> ( X0 = X1
<=> c_Groups_Ozero__class_Ozero(X2) = c_Groups_Ominus__class_Ominus(X2,X1,X0) ) ),
inference(rectify,[],[f121]) ).
fof(f121,axiom,
! [X10,X11,X6] :
( class_Groups_Oab__group__add(X6)
=> ( X10 = X11
<=> c_Groups_Ozero__class_Ozero(X6) = c_Groups_Ominus__class_Ominus(X6,X11,X10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f82687,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,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_s____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| spl38_986 ),
inference(avatar_component_clause,[],[f82686]) ).
fof(f82686,plain,
( spl38_986
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_s____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_986])]) ).
fof(f207785,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_s____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| spl38_3
| ~ spl38_26
| ~ spl38_311 ),
inference(backward_demodulation,[],[f34273,f207776]) ).
fof(f34273,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_s____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| ~ spl38_26
| ~ spl38_311 ),
inference(backward_demodulation,[],[f30602,f34231]) ).
fof(f34231,plain,
( 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_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ spl38_26 ),
inference(resolution,[],[f5596,f21842]) ).
fof(f21842,plain,
( class_Int_Onumber__ring(tc_RealDef_Oreal)
| ~ spl38_26 ),
inference(avatar_component_clause,[],[f21841]) ).
fof(f21841,plain,
( spl38_26
<=> class_Int_Onumber__ring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_26])]) ).
fof(f5596,plain,
! [X0] :
( ~ class_Int_Onumber__ring(X0)
| c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(X0,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,[],[f5595,f3489]) ).
fof(f3489,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0,
inference(cnf_transformation,[],[f1285]) ).
fof(f1285,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0,
inference(rectify,[],[f459]) ).
fof(f459,axiom,
! [X15] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X15,c_Int_OPls) = X15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5595,plain,
! [X0] :
( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(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),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls)))
| ~ class_Int_Onumber__ring(X0) ),
inference(forward_demodulation,[],[f5034,f3489]) ).
fof(f5034,plain,
! [X0] :
( ~ class_Int_Onumber__ring(X0)
| c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(X0,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,[],[f3617,f3497,f3534]) ).
fof(f3534,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,[],[f1330]) ).
fof(f1330,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(rectify,[],[f454]) ).
fof(f454,axiom,
! [X15] : c_Int_OBit1(X15) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X15),X15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3497,plain,
! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
inference(cnf_transformation,[],[f1293]) ).
fof(f1293,plain,
! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
inference(rectify,[],[f460]) ).
fof(f460,axiom,
! [X15] : c_Int_OBit0(X15) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X15,X15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3617,plain,
! [X0] :
( ~ class_Int_Onumber__ring(X0)
| c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ),
inference(cnf_transformation,[],[f2308]) ).
fof(f2308,plain,
! [X0] :
( c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))
| ~ class_Int_Onumber__ring(X0) ),
inference(ennf_transformation,[],[f1407]) ).
fof(f1407,plain,
! [X0] :
( class_Int_Onumber__ring(X0)
=> c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)) = c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ),
inference(rectify,[],[f259]) ).
fof(f259,axiom,
! [X6] :
( class_Int_Onumber__ring(X6)
=> c_Int_Onumber__class_Onumber__of(X6,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = c_Groups_Oplus__class_Oplus(X6,c_Groups_Oone__class_Oone(X6),c_Groups_Oone__class_Oone(X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f30602,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_s____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),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)))))
| ~ spl38_311 ),
inference(forward_demodulation,[],[f30596,f29418]) ).
fof(f29418,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),
inference(resolution,[],[f4478,f3392]) ).
fof(f3392,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1127]) ).
fof(f1127,axiom,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f4478,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,[],[f2804]) ).
fof(f2804,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,[],[f1977]) ).
fof(f1977,plain,
! [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) ),
inference(rectify,[],[f545]) ).
fof(f545,axiom,
! [X30,X7,X6] :
( class_Rings_Ocomm__semiring__1(X6)
=> c_Groups_Oplus__class_Oplus(X6,X7,X30) = c_Groups_Oplus__class_Oplus(X6,X30,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f30596,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),v_s____)),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)))))
| ~ spl38_311 ),
inference(backward_demodulation,[],[f5541,f30588]) ).
fof(f30588,plain,
( ! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))
| ~ spl38_311 ),
inference(resolution,[],[f4448,f29765]) ).
fof(f29765,plain,
( class_Groups_Ogroup__add(tc_RealDef_Oreal)
| ~ spl38_311 ),
inference(avatar_component_clause,[],[f29764]) ).
fof(f29764,plain,
( spl38_311
<=> class_Groups_Ogroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_311])]) ).
fof(f4448,plain,
! [X2,X0,X1] :
( ~ class_Groups_Ogroup__add(X2)
| c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Ominus__class_Ominus(X2,X1,c_Groups_Ouminus__class_Ouminus(X2,X0)) ),
inference(cnf_transformation,[],[f2778]) ).
fof(f2778,plain,
! [X0,X1,X2] :
( c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Ominus__class_Ominus(X2,X1,c_Groups_Ouminus__class_Ouminus(X2,X0))
| ~ class_Groups_Ogroup__add(X2) ),
inference(ennf_transformation,[],[f1954]) ).
fof(f1954,plain,
! [X0,X1,X2] :
( class_Groups_Ogroup__add(X2)
=> c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Ominus__class_Ominus(X2,X1,c_Groups_Ouminus__class_Ouminus(X2,X0)) ),
inference(rectify,[],[f274]) ).
fof(f274,axiom,
! [X9,X7,X6] :
( class_Groups_Ogroup__add(X6)
=> c_Groups_Oplus__class_Oplus(X6,X7,X9) = c_Groups_Ominus__class_Ominus(X6,X7,c_Groups_Ouminus__class_Ouminus(X6,X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5541,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),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(backward_demodulation,[],[f5533,f3498]) ).
fof(f3498,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f1294]) ).
fof(f1294,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X21] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X21) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5533,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),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,[],[f5512,f3489]) ).
fof(f5512,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),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_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls))))),
inference(backward_demodulation,[],[f4995,f3489]) ).
fof(f4995,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),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,[],[f3450,f3497,f3534]) ).
fof(f3450,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),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',unknown) ).
fof(f82774,plain,
( ~ spl38_986
| ~ spl38_26
| ~ spl38_311 ),
inference(avatar_split_clause,[],[f34270,f29764,f21841,f82686]) ).
fof(f34270,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,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_s____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| ~ spl38_26
| ~ spl38_311 ),
inference(backward_demodulation,[],[f30598,f34231]) ).
fof(f30598,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,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_s____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),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)))))
| ~ spl38_311 ),
inference(forward_demodulation,[],[f30592,f29418]) ).
fof(f30592,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,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),v_s____)),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)))))
| ~ spl38_311 ),
inference(backward_demodulation,[],[f5542,f30588]) ).
fof(f5542,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,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),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(backward_demodulation,[],[f5519,f3498]) ).
fof(f5519,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,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),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,[],[f5498,f3489]) ).
fof(f5498,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,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),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_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls))))),
inference(backward_demodulation,[],[f4968,f3489]) ).
fof(f4968,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,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),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,[],[f3192,f3497,f3534]) ).
fof(f3192,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,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
inference(cnf_transformation,[],[f1253]) ).
fof(f1253,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,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
inference(flattening,[],[f1252]) ).
fof(f1252,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,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),
inference(negated_conjecture,[],[f1251]) ).
fof(f1251,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,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),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',unknown) ).
fof(f82770,plain,
( ~ spl38_2
| spl38_986
| ~ spl38_3
| ~ spl38_26
| ~ spl38_311 ),
inference(avatar_split_clause,[],[f82768,f29764,f21841,f5474,f82686,f5470]) ).
fof(f5470,plain,
( spl38_2
<=> 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_wa____,v_z____)),v_d____) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_2])]) ).
fof(f82768,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,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_wa____),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_s____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| ~ 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_wa____,v_z____)),v_d____)
| ~ spl38_3
| ~ spl38_26
| ~ spl38_311 ),
inference(resolution,[],[f34272,f5475]) ).
fof(f5475,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_wa____,v_z____)))
| ~ spl38_3 ),
inference(avatar_component_clause,[],[f5474]) ).
fof(f34272,plain,
( ! [X0] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_s____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)),v_d____) )
| ~ spl38_26
| ~ spl38_311 ),
inference(backward_demodulation,[],[f30600,f34231]) ).
fof(f30600,plain,
( ! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_s____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)))),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_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)),v_d____) )
| ~ spl38_311 ),
inference(forward_demodulation,[],[f30594,f29418]) ).
fof(f30594,plain,
( ! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),v_s____)),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_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)),v_d____) )
| ~ spl38_311 ),
inference(backward_demodulation,[],[f5656,f30588]) ).
fof(f5656,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),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_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)),v_d____) ),
inference(forward_demodulation,[],[f5655,f3498]) ).
fof(f5655,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),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_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)),v_d____) ),
inference(forward_demodulation,[],[f5654,f3489]) ).
fof(f5654,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),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_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls)))))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)),v_d____) ),
inference(forward_demodulation,[],[f5054,f3489]) ).
fof(f5054,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)),v_d____)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),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,[],[f3668,f3497,f3534]) ).
fof(f3668,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)),v_d____)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
inference(cnf_transformation,[],[f2361]) ).
fof(f2361,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)),v_d____)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____))) ),
inference(flattening,[],[f2360]) ).
fof(f2360,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)),v_d____)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____))) ),
inference(ennf_transformation,[],[f1451]) ).
fof(f1451,plain,
! [X0] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____)),v_d____)
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,v_z____))) )
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X0),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X3] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X3,v_z____)),v_d____)
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X3,v_z____))) )
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X3),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____))),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),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',unknown) ).
fof(f29780,plain,
spl38_311,
inference(avatar_split_clause,[],[f3305,f29764]) ).
fof(f3305,plain,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1140]) ).
fof(f1140,axiom,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f21851,plain,
spl38_26,
inference(avatar_split_clause,[],[f3308,f21841]) ).
fof(f3308,plain,
class_Int_Onumber__ring(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1144]) ).
fof(f1144,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f21145,plain,
spl38_2,
inference(avatar_split_clause,[],[f3434,f5470]) ).
fof(f3434,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_wa____,v_z____)),v_d____),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
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_wa____,v_z____)),v_d____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWW222+1 : TPTP v8.2.0. Released v5.2.0.
% 0.05/0.10 % Command : run_vampire %s %d SAT
% 0.09/0.30 % Computer : n011.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Jun 19 04:48:24 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.15/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.32 Running first-order model finding
% 0.15/0.32 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % (14230)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.43 % (14232)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.17/0.43 % (14230)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.43 % (14236)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.17/0.43 % (14230)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.43 % (14234)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.17/0.43 % (14230)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.43 % (14235)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.17/0.43 % (14230)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.43 % (14231)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.17/0.43 % (14230)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.43 % (14233)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.17/0.43 % (14230)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.43 % (14237)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.17/0.48 % (14235)Instruction limit reached!
% 0.17/0.48 % (14235)------------------------------
% 0.17/0.48 % (14235)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.48 % (14235)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.48 % (14235)Termination reason: Time limit
% 0.17/0.48 % (14235)Termination phase: Saturation
% 0.17/0.48
% 0.17/0.48 % (14235)Memory used [KB]: 3740
% 0.17/0.48 % (14235)Time elapsed: 0.051 s
% 0.17/0.48 % (14235)Instructions burned: 105 (million)
% 0.17/0.48 % (14237)Instruction limit reached!
% 0.17/0.48 % (14237)------------------------------
% 0.17/0.48 % (14237)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.48 % (14237)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.48 % (14237)Termination reason: Time limit
% 0.17/0.48 % (14237)Termination phase: Property scanning
% 0.17/0.48
% 0.17/0.48 % (14237)Memory used [KB]: 3500
% 0.17/0.48 % (14237)Time elapsed: 0.053 s
% 0.17/0.48 % (14237)Instructions burned: 115 (million)
% 0.17/0.50 % (14236)Instruction limit reached!
% 0.17/0.50 % (14236)------------------------------
% 0.17/0.50 % (14236)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.17/0.50 % (14236)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.17/0.50 % (14236)Termination reason: Time limit
% 0.17/0.50 % (14236)Termination phase: Saturation
% 0.17/0.50
% 0.17/0.50 % (14236)Memory used [KB]: 4173
% 0.17/0.50 % (14236)Time elapsed: 0.070 s
% 0.17/0.50 % (14236)Instructions burned: 147 (million)
% 0.17/0.54 % (14230)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.54 % (14238)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.17/0.54 % (14230)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.54 % (14239)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 1.31/0.56 % (14230)Running in auto input_syntax mode. Trying TPTP
% 1.31/0.56 % (14240)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.43/0.61 % (14239)Instruction limit reached!
% 1.43/0.61 % (14239)------------------------------
% 1.43/0.61 % (14239)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.43/0.61 % (14239)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.43/0.61 % (14239)Termination reason: Time limit
% 1.43/0.61 % (14239)Termination phase: Saturation
% 1.43/0.61
% 1.43/0.61 % (14239)Memory used [KB]: 4579
% 1.43/0.61 % (14239)Time elapsed: 0.079 s
% 1.43/0.61 % (14239)Instructions burned: 177 (million)
% 1.93/0.66 % (14240)Instruction limit reached!
% 1.93/0.66 % (14240)------------------------------
% 1.93/0.66 % (14240)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.93/0.66 % (14240)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.93/0.66 % (14240)Termination reason: Time limit
% 1.93/0.66 % (14240)Termination phase: Saturation
% 1.93/0.66
% 1.93/0.66 % (14240)Memory used [KB]: 4907
% 1.93/0.66 % (14240)Time elapsed: 0.108 s
% 1.93/0.66 % (14240)Instructions burned: 273 (million)
% 2.19/0.68 % (14230)Running in auto input_syntax mode. Trying TPTP
% 2.19/0.68 % (14241)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 2.19/0.69 Cannot represent all propositional literals internally
% 2.19/0.69 % (14234)Refutation not found, incomplete strategy% (14234)------------------------------
% 2.19/0.69 % (14234)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.19/0.69 % (14234)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.19/0.69 % (14234)Termination reason: Refutation not found, incomplete strategy
% 2.19/0.69
% 2.19/0.69 % (14234)Memory used [KB]: 12067
% 2.19/0.69 % (14234)Time elapsed: 0.260 s
% 2.19/0.69 % (14234)Instructions burned: 580 (million)
% 2.19/0.69 % (14234)------------------------------
% 2.19/0.69 % (14234)------------------------------
% 2.19/0.72 TRYING [1]
% 2.19/0.72 % (14230)Running in auto input_syntax mode. Trying TPTP
% 2.19/0.72 % (14242)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 2.48/0.75 % (14230)Running in auto input_syntax mode. Trying TPTP
% 2.48/0.75 % (14243)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2996ds/2145Mi)
% 2.48/0.76 TRYING [2]
% 2.57/0.77 % (14238)Instruction limit reached!
% 2.57/0.77 % (14238)------------------------------
% 2.57/0.77 % (14238)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.57/0.77 % (14238)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.57/0.77 % (14238)Termination reason: Time limit
% 2.57/0.77 % (14238)Termination phase: Saturation
% 2.57/0.77
% 2.57/0.77 % (14238)Memory used [KB]: 5697
% 2.57/0.77 % (14238)Time elapsed: 0.231 s
% 2.57/0.77 % (14238)Instructions burned: 404 (million)
% 2.77/0.83 % (14230)Running in auto input_syntax mode. Trying TPTP
% 2.77/0.83 % (14245)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2996ds/1187Mi)
% 2.89/0.93 TRYING [1]
% 3.09/0.96 TRYING [2]
% 5.74/1.18 % (14241)Instruction limit reached!
% 5.74/1.18 % (14241)------------------------------
% 5.74/1.18 % (14241)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.74/1.18 % (14241)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.74/1.18 % (14241)Termination reason: Time limit
% 5.74/1.18 % (14241)Termination phase: Saturation
% 5.74/1.18
% 5.74/1.18 % (14241)Memory used [KB]: 9910
% 5.74/1.18 % (14241)Time elapsed: 0.507 s
% 5.74/1.18 % (14241)Instructions burned: 900 (million)
% 6.10/1.25 % (14230)Running in auto input_syntax mode. Trying TPTP
% 6.10/1.25 % (14246)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2991ds/23580Mi)
% 6.23/1.30 % (14245)Instruction limit reached!
% 6.23/1.30 % (14245)------------------------------
% 6.23/1.30 % (14245)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.23/1.30 % (14245)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.23/1.30 % (14245)Termination reason: Time limit
% 6.23/1.30 % (14245)Termination phase: Saturation
% 6.23/1.30
% 6.23/1.30 % (14245)Memory used [KB]: 18155
% 6.23/1.30 % (14245)Time elapsed: 0.477 s
% 6.23/1.30 % (14245)Instructions burned: 1188 (million)
% 6.86/1.37 % (14230)Running in auto input_syntax mode. Trying TPTP
% 6.86/1.37 % (14247)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2990ds/2892Mi)
% 6.86/1.43 TRYING [3]
% 7.22/1.46 TRYING [3]
% 7.41/1.53 TRYING [1]
% 7.81/1.57 TRYING [2]
% 7.81/1.59 % (14243)Instruction limit reached!
% 7.81/1.59 % (14243)------------------------------
% 7.81/1.59 % (14243)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.81/1.59 % (14243)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.81/1.59 % (14243)Termination reason: Time limit
% 7.81/1.59 % (14243)Termination phase: Saturation
% 7.81/1.59
% 7.81/1.59 % (14243)Memory used [KB]: 31877
% 7.81/1.59 % (14243)Time elapsed: 0.846 s
% 7.81/1.59 % (14243)Instructions burned: 2146 (million)
% 8.98/1.66 % (14230)Running in auto input_syntax mode. Trying TPTP
% 8.98/1.66 % (14248)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2987ds/1693Mi)
% 13.58/2.33 % (14248)Instruction limit reached!
% 13.58/2.33 % (14248)------------------------------
% 13.58/2.33 % (14248)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.58/2.33 % (14248)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.58/2.33 % (14248)Termination reason: Time limit
% 13.58/2.33 % (14248)Termination phase: Saturation
% 13.58/2.33
% 13.58/2.33 % (14248)Memory used [KB]: 23037
% 13.58/2.33 % (14248)Time elapsed: 0.669 s
% 13.58/2.33 % (14248)Instructions burned: 1694 (million)
% 14.01/2.39 TRYING [3]
% 14.01/2.40 % (14230)Running in auto input_syntax mode. Trying TPTP
% 14.01/2.40 % (14249)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2980ds/1735Mi)
% 15.08/2.58 % (14247)Instruction limit reached!
% 15.08/2.58 % (14247)------------------------------
% 15.08/2.58 % (14247)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.08/2.58 % (14247)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.08/2.58 % (14247)Termination reason: Time limit
% 15.08/2.58 % (14247)Termination phase: Finite model building constraint generation
% 15.08/2.58
% 15.08/2.58 % (14247)Memory used [KB]: 12785
% 15.08/2.58 % (14247)Time elapsed: 1.213 s
% 15.08/2.58 % (14247)Instructions burned: 2893 (million)
% 15.76/2.67 % (14230)Running in auto input_syntax mode. Trying TPTP
% 15.76/2.67 % (14250)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2977ds/131798Mi)
% 18.91/3.16 TRYING [4,4]
% 20.14/3.32 % (14249)Instruction limit reached!
% 20.14/3.32 % (14249)------------------------------
% 20.14/3.32 % (14249)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 20.14/3.32 % (14249)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 20.14/3.32 % (14249)Termination reason: Time limit
% 20.14/3.32 % (14249)Termination phase: Saturation
% 20.14/3.32
% 20.14/3.32 % (14249)Memory used [KB]: 17001
% 20.14/3.32 % (14249)Time elapsed: 0.937 s
% 20.14/3.32 % (14249)Instructions burned: 1736 (million)
% 20.95/3.39 % (14230)Running in auto input_syntax mode. Trying TPTP
% 20.95/3.39 % (14251)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2970ds/3451Mi)
% 23.92/3.83 % (14242)Instruction limit reached!
% 23.92/3.83 % (14242)------------------------------
% 23.92/3.83 % (14242)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 23.92/3.83 % (14242)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 23.92/3.83 % (14242)Termination reason: Time limit
% 23.92/3.83 % (14242)Termination phase: Finite model building constraint generation
% 23.92/3.83
% 23.92/3.83 % (14242)Memory used [KB]: 49150
% 23.92/3.83 % (14242)Time elapsed: 3.106 s
% 23.92/3.83 % (14242)Instructions burned: 7860 (million)
% 24.61/3.90 % (14230)Running in auto input_syntax mode. Trying TPTP
% 24.61/3.90 % (14252)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2965ds/3978Mi)
% 29.41/4.57 TRYING [4]
% 30.82/4.80 % (14251)Instruction limit reached!
% 30.82/4.80 % (14251)------------------------------
% 30.82/4.80 % (14251)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 30.82/4.80 % (14251)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 30.82/4.80 % (14251)Termination reason: Time limit
% 30.82/4.80 % (14251)Termination phase: Finite model building constraint generation
% 30.82/4.80
% 30.82/4.80 % (14251)Memory used [KB]: 12937
% 30.82/4.80 % (14251)Time elapsed: 1.414 s
% 30.82/4.80 % (14251)Instructions burned: 3452 (million)
% 31.49/4.90 % (14230)Running in auto input_syntax mode. Trying TPTP
% 31.49/4.90 % (14253)dis+35_1:64_to=lpo:sil=32000:sp=occurrence:urr=on:sac=on:i=33091:fsr=off_0 on theBenchmark for (2955ds/33091Mi)
% 33.99/5.23 TRYING [4]
% 40.65/6.24 % (14252)Instruction limit reached!
% 40.65/6.24 % (14252)------------------------------
% 40.65/6.24 % (14252)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 40.65/6.24 % (14252)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 40.65/6.24 % (14252)Termination reason: Time limit
% 40.65/6.24 % (14252)Termination phase: Saturation
% 40.65/6.24
% 40.65/6.24 % (14252)Memory used [KB]: 34252
% 40.65/6.24 % (14252)Time elapsed: 2.345 s
% 40.65/6.24 % (14252)Instructions burned: 3978 (million)
% 41.46/6.31 % (14230)Running in auto input_syntax mode. Trying TPTP
% 41.46/6.31 % (14254)dis-4_1:1_sil=16000:sp=const_frequency:sac=on:newcnf=on:i=9564_0 on theBenchmark for (2941ds/9564Mi)
% 69.65/10.35 % (14246)Instruction limit reached!
% 69.65/10.35 % (14246)------------------------------
% 69.65/10.35 % (14246)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 69.65/10.35 % (14246)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 69.65/10.35 % (14246)Termination reason: Time limit
% 69.65/10.35 % (14246)Termination phase: Finite model building SAT solving
% 69.65/10.35
% 69.65/10.35 % (14246)Memory used [KB]: 204489
% 69.65/10.35 % (14246)Time elapsed: 9.103 s
% 69.65/10.35 % (14246)Instructions burned: 23582 (million)
% 70.12/10.44 % (14230)Running in auto input_syntax mode. Trying TPTP
% 70.12/10.44 % (14255)fmb+10_1:1_sil=64000:i=50409:nm=2:gsp=on_0 on theBenchmark for (2899ds/50409Mi)
% 71.85/10.68 % (14254)Instruction limit reached!
% 71.85/10.68 % (14254)------------------------------
% 71.85/10.68 % (14254)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 71.85/10.68 % (14254)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 71.85/10.68 % (14254)Termination reason: Time limit
% 71.85/10.68 % (14254)Termination phase: Saturation
% 71.85/10.68
% 71.85/10.68 % (14254)Memory used [KB]: 92345
% 71.85/10.68 % (14254)Time elapsed: 4.361 s
% 71.85/10.68 % (14254)Instructions burned: 9564 (million)
% 72.20/10.71 TRYING [1]
% 72.56/10.75 TRYING [2]
% 72.62/10.76 % (14230)Running in auto input_syntax mode. Trying TPTP
% 72.62/10.76 % (14256)dis+2_3:1_bsr=on:sil=64000:abs=on:i=10852:gsp=on:fs=off:fsr=off_0 on theBenchmark for (2896ds/10852Mi)
% 77.60/11.51 TRYING [3]
% 96.33/14.23 TRYING [4]
% 106.15/15.57 % (14256)Instruction limit reached!
% 106.15/15.57 % (14256)------------------------------
% 106.15/15.57 % (14256)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 106.15/15.57 % (14256)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 106.15/15.57 % (14256)Termination reason: Time limit
% 106.15/15.57 % (14256)Termination phase: Saturation
% 106.15/15.57
% 106.15/15.57 % (14256)Memory used [KB]: 159040
% 106.15/15.57 % (14256)Time elapsed: 4.815 s
% 106.15/15.57 % (14256)Instructions burned: 10853 (million)
% 106.77/15.65 % (14230)Running in auto input_syntax mode. Trying TPTP
% 106.77/15.65 % (14257)dis+11_61:31_bsr=unit_only:sil=16000:sp=frequency:rp=on:newcnf=on:i=11327:uhcvi=on:rawr=on:abs=on:lsd=5:add=off_0 on theBenchmark for (2847ds/11327Mi)
% 109.17/16.07 TRYING [5]
% 116.15/17.02 TRYING [5,4]
% 123.14/18.02 TRYING [10]
% 140.82/20.52 % (14257)Instruction limit reached!
% 140.82/20.52 % (14257)------------------------------
% 140.82/20.52 % (14257)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 140.82/20.52 % (14257)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 140.82/20.52 % (14257)Termination reason: Time limit
% 140.82/20.52 % (14257)Termination phase: Saturation
% 140.82/20.52
% 140.82/20.52 % (14257)Memory used [KB]: 146538
% 140.82/20.52 % (14257)Time elapsed: 4.872 s
% 140.82/20.52 % (14257)Instructions burned: 11328 (million)
% 140.82/20.60 % (14230)Running in auto input_syntax mode. Trying TPTP
% 140.82/20.60 % (14258)fmb+10_1:1_fmbas=expand:sil=128000:i=17908:nm=2:fmbss=15:gsp=on_0 on theBenchmark for (2798ds/17908Mi)
% 145.01/21.16 % (14253)Instruction limit reached!
% 145.01/21.16 % (14253)------------------------------
% 145.01/21.16 % (14253)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 145.01/21.16 % (14253)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 145.01/21.16 % (14253)Termination reason: Time limit
% 145.01/21.16 % (14253)Termination phase: Saturation
% 145.01/21.16
% 145.01/21.16 % (14253)Memory used [KB]: 238394
% 145.01/21.16 % (14253)Time elapsed: 16.282 s
% 145.01/21.16 % (14253)Instructions burned: 33091 (million)
% 145.47/21.26 % (14230)Running in auto input_syntax mode. Trying TPTP
% 145.47/21.26 % (14259)dis+11_1:1_anc=all:sil=64000:rp=on:newcnf=on:i=22636:alpa=false:atotf=0.1:gs=on_0 on theBenchmark for (2791ds/22636Mi)
% 175.39/25.48 % (14258)Instruction limit reached!
% 175.39/25.48 % (14258)------------------------------
% 175.39/25.48 % (14258)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 175.39/25.48 % (14258)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 175.39/25.48 % (14258)Termination reason: Time limit
% 175.39/25.48 % (14258)Termination phase: Finite model building constraint generation
% 175.39/25.48
% 175.39/25.48 % (14258)Memory used [KB]: 12575
% 175.39/25.48 % (14258)Time elapsed: 4.854 s
% 175.39/25.48 % (14258)Instructions burned: 17908 (million)
% 175.61/25.53 TRYING [5]
% 176.48/25.62 % (14230)Running in auto input_syntax mode. Trying TPTP
% 176.48/25.62 % (14515)fmb+10_1:1_i=30223_0 on theBenchmark for (2747ds/30223Mi)
% 177.60/25.78 TRYING [1]
% 177.84/25.81 TRYING [2]
% 181.29/26.31 TRYING [3]
% 186.02/26.97 % (14255)Instruction limit reached!
% 186.02/26.97 % (14255)------------------------------
% 186.02/26.97 % (14255)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 186.02/26.97 % (14255)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 186.02/26.97 % (14255)Termination reason: Time limit
% 186.02/26.97 % (14255)Termination phase: Finite model building constraint generation
% 186.02/26.97
% 186.02/26.97 % (14255)Memory used [KB]: 662079
% 186.02/26.97 % (14255)Time elapsed: 16.531 s
% 186.02/26.97 % (14255)Instructions burned: 50411 (million)
% 186.45/27.04 % (14230)Running in auto input_syntax mode. Trying TPTP
% 186.45/27.04 % (14546)ott+11_8:1_sil=64000:i=37350:fsr=off:bsr=unit_only:newcnf=on_0 on theBenchmark for (2733ds/37350Mi)
% 189.22/27.43 % (14259)Instruction limit reached!
% 189.22/27.43 % (14259)------------------------------
% 189.22/27.43 % (14259)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 189.22/27.43 % (14259)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 189.22/27.43 % (14259)Termination reason: Time limit
% 189.22/27.43 % (14259)Termination phase: Saturation
% 189.22/27.43
% 189.22/27.43 % (14259)Memory used [KB]: 294634
% 189.22/27.43 % (14259)Time elapsed: 6.174 s
% 189.22/27.43 % (14259)Instructions burned: 22638 (million)
% 189.69/27.49 % (14230)Running in auto input_syntax mode. Trying TPTP
% 189.69/27.49 % (14547)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency:i=80557_0 on theBenchmark for (2729ds/80557Mi)
% 192.78/27.99 TRYING [4]
% 202.04/29.34 % (14231)Instruction limit reached!
% 202.04/29.34 % (14231)------------------------------
% 202.04/29.34 % (14231)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 202.04/29.34 % (14231)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 202.04/29.34 % (14231)Termination reason: Time limit
% 202.04/29.34 % (14231)Termination phase: Finite model building constraint generation
% 202.04/29.34
% 202.04/29.34 % (14231)Memory used [KB]: 3539479
% 202.04/29.34 % (14231)Time elapsed: 28.907 s
% 202.04/29.34 % (14231)Instructions burned: 98886 (million)
% 206.24/29.87 % (14230)Running in auto input_syntax mode. Trying TPTP
% 206.24/29.87 % (14740)fmb+10_1:1_sil=128000:fmbss=21:newcnf=on:i=44200:gsp=on_0 on theBenchmark for (2705ds/44200Mi)
% 207.03/30.03 Cannot represent all propositional literals internally
% 207.03/30.03 % (14740)Refutation not found, incomplete strategy% (14740)------------------------------
% 207.03/30.03 % (14740)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 207.03/30.03 % (14740)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 207.03/30.03 % (14740)Termination reason: Refutation not found, incomplete strategy
% 207.03/30.03
% 207.03/30.03 % (14740)Memory used [KB]: 12495
% 207.03/30.03 % (14740)Time elapsed: 0.163 s
% 207.03/30.03 % (14740)Instructions burned: 621 (million)
% 207.03/30.03 % (14740)------------------------------
% 207.03/30.03 % (14740)------------------------------
% 207.79/30.07 % (14230)Running in auto input_syntax mode. Trying TPTP
% 207.79/30.07 % (14792)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity:i=55207_0 on theBenchmark for (2703ds/55207Mi)
% 236.81/34.24 % (14515)Instruction limit reached!
% 236.81/34.24 % (14515)------------------------------
% 236.81/34.24 % (14515)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 236.81/34.24 % (14515)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 236.81/34.24 % (14515)Termination reason: Time limit
% 236.81/34.24 % (14515)Termination phase: Finite model building SAT solving
% 236.81/34.24
% 236.81/34.24 % (14515)Memory used [KB]: 195921
% 236.81/34.24 % (14515)Time elapsed: 8.602 s
% 236.81/34.24 % (14515)Instructions burned: 30223 (million)
% 237.26/34.34 % (14230)Running in auto input_syntax mode. Trying TPTP
% 237.26/34.34 % (14890)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0:i=81447_0 on theBenchmark for (2661ds/81447Mi)
% 248.24/35.87 % (14232)Instruction limit reached!
% 248.24/35.87 % (14232)------------------------------
% 248.24/35.87 % (14232)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 248.24/35.87 % (14232)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 248.24/35.87 % (14232)Termination reason: Time limit
% 248.24/35.87 % (14232)Termination phase: Saturation
% 248.24/35.87
% 248.24/35.87 % (14232)Memory used [KB]: 432286
% 248.24/35.87 % (14232)Time elapsed: 35.443 s
% 248.24/35.87 % (14232)Instructions burned: 99420 (million)
% 248.24/35.95 % (14230)Running in auto input_syntax mode. Trying TPTP
% 248.24/35.95 % (14891)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off:i=93915_0 on theBenchmark for (2644ds/93915Mi)
% 267.87/38.69 % (14546)First to succeed.
% 267.87/38.70 % (14546)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14230"
% 267.87/38.72 % (14230)Running in auto input_syntax mode. Trying TPTP
% 267.87/38.72 % (14546)Refutation found. Thanks to Tanya!
% 267.87/38.72 % SZS status Theorem for theBenchmark
% 267.87/38.72 % SZS output start Proof for theBenchmark
% See solution above
% 267.87/38.72 % (14546)------------------------------
% 267.87/38.72 % (14546)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 267.87/38.72 % (14546)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 267.87/38.72 % (14546)Termination reason: Refutation
% 267.87/38.72
% 267.87/38.72 % (14546)Memory used [KB]: 198185
% 267.87/38.72 % (14546)Time elapsed: 11.653 s
% 267.87/38.72 % (14546)Instructions burned: 31881 (million)
% 267.87/38.72 % (14546)------------------------------
% 267.87/38.72 % (14546)------------------------------
% 267.87/38.72 % (14230)Success in time 38.331 s
%------------------------------------------------------------------------------