TSTP Solution File: SWW230+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW230+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 18:16:37 EDT 2024
% Result : Timeout 287.85s 37.87s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 29
% Syntax : Number of formulae : 176 ( 95 unt; 0 def)
% Number of atoms : 302 ( 180 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 212 ( 86 ~; 82 |; 17 &)
% ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 11 con; 0-3 aty)
% Number of variables : 289 ( 0 sgn 168 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
c_Orderings_Oord__class_Oless__eq(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,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),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_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096abs_A_Icmod_A_Ipoly_Ap_Az_J_A_N_A_N_As_J_060_061_Aabs_A_Icmod_A_Ipoly_Ap_A_Ig_A_If_A_IN1_A_L_AN2_J_J_J_J_A_N_A_N_As_J_A_L_Acmod_A_Ipoly_Ap_A_Ig_A_If_A_IN1_A_L_AN2_J_J_J_A_N_Apoly_Ap_Az_J_096) ).
fof(f25,axiom,
! [X20] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X20,c_Int_OPls) = X20,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__Pls__right) ).
fof(f26,axiom,
! [X20] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X20) = X20,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__Pls) ).
fof(f28,axiom,
! [X20] : c_Int_OBit0(X20) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X20,X20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Bit0__def) ).
fof(f102,axiom,
! [X14,X36,X10] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X10,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X36,X14)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X36,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X10,X14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zadd__left__commute) ).
fof(f111,axiom,
! [X42,X40,X41] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X41,X40),X42) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X41,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X40,X42)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zadd__assoc) ).
fof(f196,axiom,
! [X22,X14] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X14,X22) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X22,X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__commute) ).
fof(f210,axiom,
! [X12,X13] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X13,X12)
<=> ( X12 != X13
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__less__def) ).
fof(f220,axiom,
! [X53,X51] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X51,X53) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X51,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X53)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__diff__def) ).
fof(f222,axiom,
! [X36,X10] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X10,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X36))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X36,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X10))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__minus__add__cancel) ).
fof(f282,axiom,
! [X22,X15] :
( class_Int_Onumber__ring(X15)
=> c_Groups_Oplus__class_Oplus(X15,c_Groups_Oone__class_Oone(X15),c_Int_Onumber__class_Onumber__of(X15,X22)) = c_Int_Onumber__class_Onumber__of(X15,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X22)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__special_I2_J) ).
fof(f299,axiom,
! [X20] : c_Int_OBit1(X20) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X20),X20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Bit1__def) ).
fof(f521,axiom,
! [X15] :
( class_Int_Onumber__ring(X15)
=> c_Int_Onumber__class_Onumber__of(X15,c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_semiring__norm_I110_J) ).
fof(f569,axiom,
! [X51] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X51) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X51),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__norm__def) ).
fof(f617,axiom,
! [X2,X3,X15] :
( class_RealVector_Oreal__normed__vector(X15)
=> c_RealVector_Onorm__class_Onorm(X15,c_Groups_Ominus__class_Ominus(X15,X3,X2)) = c_RealVector_Onorm__class_Onorm(X15,c_Groups_Ominus__class_Ominus(X15,X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__minus__commute) ).
fof(f715,axiom,
! [X15] :
( class_Rings_Olinordered__semidom(X15)
=> c_Orderings_Oord__class_Oless(X15,c_Groups_Ozero__class_Ozero(X15),c_Groups_Oplus__class_Oplus(X15,c_Groups_Oone__class_Oone(X15),c_Groups_Oone__class_Oone(X15))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__less__two) ).
fof(f785,axiom,
! [X47,X7,X9,X15] :
( class_Fields_Ofield__inverse__zero(X15)
=> ( c_Rings_Oinverse__class_Odivide(X15,X7,X47) = X9
<=> ( ( c_Groups_Ozero__class_Ozero(X15) = X47
=> c_Groups_Ozero__class_Ozero(X15) = X9 )
& ( c_Groups_Ozero__class_Ozero(X15) != X47
=> c_Groups_Otimes__class_Otimes(X15,X9,X47) = X7 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_eq__divide__eq) ).
fof(f915,axiom,
! [X2,X3,X15] :
( class_Groups_Ogroup__add(X15)
=> c_Groups_Ouminus__class_Ouminus(X15,c_Groups_Oplus__class_Oplus(X15,X3,X2)) = c_Groups_Oplus__class_Oplus(X15,c_Groups_Ouminus__class_Ouminus(X15,X2),c_Groups_Ouminus__class_Ouminus(X15,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_minus__add) ).
fof(f916,axiom,
! [X2,X3,X15] :
( class_Groups_Oab__group__add(X15)
=> c_Groups_Ouminus__class_Ouminus(X15,c_Groups_Oplus__class_Oplus(X15,X3,X2)) = c_Groups_Oplus__class_Oplus(X15,c_Groups_Ouminus__class_Ouminus(X15,X3),c_Groups_Ouminus__class_Ouminus(X15,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_minus__add__distrib) ).
fof(f960,axiom,
! [X2,X3,X15] :
( class_Groups_Ogroup__add(X15)
=> c_Groups_Oplus__class_Oplus(X15,X3,X2) = c_Groups_Ominus__class_Ominus(X15,X3,c_Groups_Ouminus__class_Ouminus(X15,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__minus__eq__add) ).
fof(f993,axiom,
! [X1,X3,X15] :
( class_Rings_Ocomm__semiring__1(X15)
=> c_Groups_Oplus__class_Oplus(X15,X3,X1) = c_Groups_Oplus__class_Oplus(X15,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(f1100,axiom,
class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Ofield__inverse__zero) ).
fof(f1101,axiom,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semidom) ).
fof(f1112,axiom,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).
fof(f1116,axiom,
class_Groups_Oab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oab__group__add) ).
fof(f1122,axiom,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ogroup__add) ).
fof(f1125,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Int_Onumber__ring) ).
fof(f1141,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f1171,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,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,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,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_Groups_Oplus__class_Oplus(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,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1172,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,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,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,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_Groups_Oplus__class_Oplus(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,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
inference(negated_conjecture,[],[f1171]) ).
fof(f1186,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0,
inference(rectify,[],[f25]) ).
fof(f1187,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0) = X0,
inference(rectify,[],[f26]) ).
fof(f1189,plain,
! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
inference(rectify,[],[f28]) ).
fof(f1257,plain,
! [X0,X1,X2] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X0)),
inference(rectify,[],[f102]) ).
fof(f1266,plain,
! [X0,X1,X2] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X0),
inference(rectify,[],[f111]) ).
fof(f1348,plain,
! [X0,X1] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X0) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1),
inference(rectify,[],[f196]) ).
fof(f1362,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
<=> ( X0 != X1
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
inference(rectify,[],[f210]) ).
fof(f1372,plain,
! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)),
inference(rectify,[],[f220]) ).
fof(f1374,plain,
! [X0,X1] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
inference(rectify,[],[f222]) ).
fof(f1416,plain,
! [X0,X1] :
( class_Int_Onumber__ring(X1)
=> c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X0)) ),
inference(rectify,[],[f282]) ).
fof(f1431,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,[],[f299]) ).
fof(f1636,plain,
! [X0] :
( class_Int_Onumber__ring(X0)
=> c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(X0) ),
inference(rectify,[],[f521]) ).
fof(f1676,plain,
! [X0] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0),
inference(rectify,[],[f569]) ).
fof(f1724,plain,
! [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)) ),
inference(rectify,[],[f617]) ).
fof(f1820,plain,
! [X0] :
( class_Rings_Olinordered__semidom(X0)
=> c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0))) ),
inference(rectify,[],[f715]) ).
fof(f1889,plain,
! [X0,X1,X2,X3] :
( class_Fields_Ofield__inverse__zero(X3)
=> ( c_Rings_Oinverse__class_Odivide(X3,X1,X0) = X2
<=> ( ( c_Groups_Ozero__class_Ozero(X3) = X0
=> c_Groups_Ozero__class_Ozero(X3) = X2 )
& ( c_Groups_Ozero__class_Ozero(X3) != X0
=> c_Groups_Otimes__class_Otimes(X3,X2,X0) = X1 ) ) ) ),
inference(rectify,[],[f785]) ).
fof(f2019,plain,
! [X0,X1,X2] :
( class_Groups_Ogroup__add(X2)
=> c_Groups_Ouminus__class_Ouminus(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0)) = c_Groups_Oplus__class_Oplus(X2,c_Groups_Ouminus__class_Ouminus(X2,X0),c_Groups_Ouminus__class_Ouminus(X2,X1)) ),
inference(rectify,[],[f915]) ).
fof(f2020,plain,
! [X0,X1,X2] :
( class_Groups_Oab__group__add(X2)
=> c_Groups_Ouminus__class_Ouminus(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0)) = c_Groups_Oplus__class_Oplus(X2,c_Groups_Ouminus__class_Ouminus(X2,X1),c_Groups_Ouminus__class_Ouminus(X2,X0)) ),
inference(rectify,[],[f916]) ).
fof(f2064,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,[],[f960]) ).
fof(f2097,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,[],[f993]) ).
fof(f2100,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,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,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,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_Groups_Oplus__class_Oplus(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,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
inference(flattening,[],[f1172]) ).
fof(f2264,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X0))
| ~ class_Int_Onumber__ring(X1) ),
inference(ennf_transformation,[],[f1416]) ).
fof(f2401,plain,
! [X0] :
( c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(X0)
| ~ class_Int_Onumber__ring(X0) ),
inference(ennf_transformation,[],[f1636]) ).
fof(f2493,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,[],[f1724]) ).
fof(f2647,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)))
| ~ class_Rings_Olinordered__semidom(X0) ),
inference(ennf_transformation,[],[f1820]) ).
fof(f2743,plain,
! [X0,X1,X2,X3] :
( ( c_Rings_Oinverse__class_Odivide(X3,X1,X0) = X2
<=> ( ( c_Groups_Ozero__class_Ozero(X3) = X2
| c_Groups_Ozero__class_Ozero(X3) != X0 )
& ( c_Groups_Otimes__class_Otimes(X3,X2,X0) = X1
| c_Groups_Ozero__class_Ozero(X3) = X0 ) ) )
| ~ class_Fields_Ofield__inverse__zero(X3) ),
inference(ennf_transformation,[],[f1889]) ).
fof(f2943,plain,
! [X0,X1,X2] :
( c_Groups_Ouminus__class_Ouminus(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0)) = c_Groups_Oplus__class_Oplus(X2,c_Groups_Ouminus__class_Ouminus(X2,X0),c_Groups_Ouminus__class_Ouminus(X2,X1))
| ~ class_Groups_Ogroup__add(X2) ),
inference(ennf_transformation,[],[f2019]) ).
fof(f2944,plain,
! [X0,X1,X2] :
( c_Groups_Ouminus__class_Ouminus(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0)) = c_Groups_Oplus__class_Oplus(X2,c_Groups_Ouminus__class_Ouminus(X2,X1),c_Groups_Ouminus__class_Ouminus(X2,X0))
| ~ class_Groups_Oab__group__add(X2) ),
inference(ennf_transformation,[],[f2020]) ).
fof(f3000,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,[],[f2064]) ).
fof(f3042,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,[],[f2097]) ).
fof(f3209,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
& ( ( X0 != X1
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
inference(nnf_transformation,[],[f1362]) ).
fof(f3210,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
& ( ( X0 != X1
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
inference(flattening,[],[f3209]) ).
fof(f3446,plain,
! [X0,X1,X2,X3] :
( ( ( c_Rings_Oinverse__class_Odivide(X3,X1,X0) = X2
| ( c_Groups_Ozero__class_Ozero(X3) != X2
& c_Groups_Ozero__class_Ozero(X3) = X0 )
| ( c_Groups_Otimes__class_Otimes(X3,X2,X0) != X1
& c_Groups_Ozero__class_Ozero(X3) != X0 ) )
& ( ( ( c_Groups_Ozero__class_Ozero(X3) = X2
| c_Groups_Ozero__class_Ozero(X3) != X0 )
& ( c_Groups_Otimes__class_Otimes(X3,X2,X0) = X1
| c_Groups_Ozero__class_Ozero(X3) = X0 ) )
| c_Rings_Oinverse__class_Odivide(X3,X1,X0) != X2 ) )
| ~ class_Fields_Ofield__inverse__zero(X3) ),
inference(nnf_transformation,[],[f2743]) ).
fof(f3447,plain,
! [X0,X1,X2,X3] :
( ( ( c_Rings_Oinverse__class_Odivide(X3,X1,X0) = X2
| ( c_Groups_Ozero__class_Ozero(X3) != X2
& c_Groups_Ozero__class_Ozero(X3) = X0 )
| ( c_Groups_Otimes__class_Otimes(X3,X2,X0) != X1
& c_Groups_Ozero__class_Ozero(X3) != X0 ) )
& ( ( ( c_Groups_Ozero__class_Ozero(X3) = X2
| c_Groups_Ozero__class_Ozero(X3) != X0 )
& ( c_Groups_Otimes__class_Otimes(X3,X2,X0) = X1
| c_Groups_Ozero__class_Ozero(X3) = X0 ) )
| c_Rings_Oinverse__class_Odivide(X3,X1,X0) != X2 ) )
| ~ class_Fields_Ofield__inverse__zero(X3) ),
inference(flattening,[],[f3446]) ).
fof(f3541,plain,
c_Orderings_Oord__class_Oless__eq(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,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),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_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
inference(cnf_transformation,[],[f3]) ).
fof(f3568,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0,
inference(cnf_transformation,[],[f1186]) ).
fof(f3569,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0) = X0,
inference(cnf_transformation,[],[f1187]) ).
fof(f3571,plain,
! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
inference(cnf_transformation,[],[f1189]) ).
fof(f3663,plain,
! [X2,X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X0)),
inference(cnf_transformation,[],[f1257]) ).
fof(f3674,plain,
! [X2,X0,X1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X0),
inference(cnf_transformation,[],[f1266]) ).
fof(f3833,plain,
! [X0,X1] : c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X0) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1),
inference(cnf_transformation,[],[f1348]) ).
fof(f3931,plain,
! [X0,X1] :
( X0 != X1
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f3210]) ).
fof(f3946,plain,
! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)),
inference(cnf_transformation,[],[f1372]) ).
fof(f3948,plain,
! [X0,X1] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
inference(cnf_transformation,[],[f1374]) ).
fof(f4023,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OBit1(c_Int_OPls),X0))
| ~ class_Int_Onumber__ring(X1) ),
inference(cnf_transformation,[],[f2264]) ).
fof(f4046,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,[],[f1431]) ).
fof(f4376,plain,
! [X0] :
( c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(X0)
| ~ class_Int_Onumber__ring(X0) ),
inference(cnf_transformation,[],[f2401]) ).
fof(f4455,plain,
! [X0] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f1676]) ).
fof(f4508,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f2493]) ).
fof(f4645,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0)))
| ~ class_Rings_Olinordered__semidom(X0) ),
inference(cnf_transformation,[],[f2647]) ).
fof(f4759,plain,
! [X2,X3,X0,X1] :
( c_Groups_Otimes__class_Otimes(X3,X2,X0) = X1
| c_Groups_Ozero__class_Ozero(X3) = X0
| c_Rings_Oinverse__class_Odivide(X3,X1,X0) != X2
| ~ class_Fields_Ofield__inverse__zero(X3) ),
inference(cnf_transformation,[],[f3447]) ).
fof(f4985,plain,
! [X2,X0,X1] :
( c_Groups_Ouminus__class_Ouminus(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0)) = c_Groups_Oplus__class_Oplus(X2,c_Groups_Ouminus__class_Ouminus(X2,X0),c_Groups_Ouminus__class_Ouminus(X2,X1))
| ~ class_Groups_Ogroup__add(X2) ),
inference(cnf_transformation,[],[f2943]) ).
fof(f4986,plain,
! [X2,X0,X1] :
( c_Groups_Ouminus__class_Ouminus(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0)) = c_Groups_Oplus__class_Oplus(X2,c_Groups_Ouminus__class_Ouminus(X2,X1),c_Groups_Ouminus__class_Ouminus(X2,X0))
| ~ class_Groups_Oab__group__add(X2) ),
inference(cnf_transformation,[],[f2944]) ).
fof(f5049,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f3000]) ).
fof(f5085,plain,
! [X2,X0,X1] :
( c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1)
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(cnf_transformation,[],[f3042]) ).
fof(f5192,plain,
class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1100]) ).
fof(f5193,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1101]) ).
fof(f5204,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1112]) ).
fof(f5208,plain,
class_Groups_Oab__group__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1116]) ).
fof(f5214,plain,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1122]) ).
fof(f5217,plain,
class_Int_Onumber__ring(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1125]) ).
fof(f5233,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1141]) ).
fof(f5263,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,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,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,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_Groups_Oplus__class_Oplus(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,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
inference(cnf_transformation,[],[f2100]) ).
fof(f5393,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X1,X0)) = c_Int_Onumber__class_Onumber__of(X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),X0))
| ~ class_Int_Onumber__ring(X1) ),
inference(definition_unfolding,[],[f4023,f4046]) ).
fof(f5513,plain,
! [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_Int_OPls))
| ~ class_Int_Onumber__ring(X0) ),
inference(definition_unfolding,[],[f4376,f4046]) ).
fof(f5545,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,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,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,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))))),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_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
inference(definition_unfolding,[],[f5263,f3571,f4046,f3571,f4046]) ).
fof(f5586,plain,
! [X1] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
inference(equality_resolution,[],[f3931]) ).
fof(f5691,plain,
! [X3,X0,X1] :
( c_Groups_Otimes__class_Otimes(X3,c_Rings_Oinverse__class_Odivide(X3,X1,X0),X0) = X1
| c_Groups_Ozero__class_Ozero(X3) = X0
| ~ class_Fields_Ofield__inverse__zero(X3) ),
inference(equality_resolution,[],[f4759]) ).
cnf(c_51,plain,
c_Orderings_Oord__class_Oless__eq(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,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),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_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
inference(cnf_transformation,[],[f3541]) ).
cnf(c_78,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0,
inference(cnf_transformation,[],[f3568]) ).
cnf(c_79,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0) = X0,
inference(cnf_transformation,[],[f3569]) ).
cnf(c_167,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X2)),
inference(cnf_transformation,[],[f3663]) ).
cnf(c_178,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X1),X2) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)),
inference(cnf_transformation,[],[f3674]) ).
cnf(c_331,plain,
c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,X1) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X1,X0),
inference(cnf_transformation,[],[f3833]) ).
cnf(c_420,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X0),
inference(cnf_transformation,[],[f5586]) ).
cnf(c_435,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1),
inference(cnf_transformation,[],[f3946]) ).
cnf(c_437,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0))),
inference(cnf_transformation,[],[f3948]) ).
cnf(c_512,plain,
( ~ class_Int_Onumber__ring(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),X1)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1)) ),
inference(cnf_transformation,[],[f5393]) ).
cnf(c_854,plain,
( ~ class_Int_Onumber__ring(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_Int_OPls)) = c_Groups_Oone__class_Oone(X0) ),
inference(cnf_transformation,[],[f5513]) ).
cnf(c_931,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f4455]) ).
cnf(c_983,plain,
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1)) ),
inference(cnf_transformation,[],[f4508]) ).
cnf(c_1120,plain,
( ~ class_Rings_Olinordered__semidom(X0)
| c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0))) ),
inference(cnf_transformation,[],[f4645]) ).
cnf(c_1236,plain,
( ~ class_Fields_Ofield__inverse__zero(X0)
| c_Groups_Otimes__class_Otimes(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X2) = X1
| c_Groups_Ozero__class_Ozero(X0) = X2 ),
inference(cnf_transformation,[],[f5691]) ).
cnf(c_1445,plain,
( ~ class_Groups_Ogroup__add(X0)
| c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oplus__class_Oplus(X0,X2,X1)) ),
inference(cnf_transformation,[],[f4985]) ).
cnf(c_1446,plain,
( ~ class_Groups_Oab__group__add(X0)
| c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)) ),
inference(cnf_transformation,[],[f4986]) ).
cnf(c_1509,plain,
( ~ class_Groups_Ogroup__add(X0)
| c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,X1,X2) ),
inference(cnf_transformation,[],[f5049]) ).
cnf(c_1545,plain,
( ~ class_Rings_Ocomm__semiring__1(X0)
| c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1) ),
inference(cnf_transformation,[],[f5085]) ).
cnf(c_1652,plain,
class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f5192]) ).
cnf(c_1653,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f5193]) ).
cnf(c_1664,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f5204]) ).
cnf(c_1668,plain,
class_Groups_Oab__group__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f5208]) ).
cnf(c_1674,plain,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f5214]) ).
cnf(c_1677,plain,
class_Int_Onumber__ring(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f5217]) ).
cnf(c_1693,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f5233]) ).
cnf(c_1723,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,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,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,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))))),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_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
inference(cnf_transformation,[],[f5545]) ).
cnf(c_2804,plain,
( ~ class_Int_Onumber__ring(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_Int_OPls)) = c_Groups_Oone__class_Oone(X0) ),
inference(prop_impl_just,[status(thm)],[c_854]) ).
cnf(c_2812,plain,
( ~ class_Int_Onumber__ring(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),X1)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_512]) ).
cnf(c_2856,plain,
( ~ class_Groups_Oab__group__add(X0)
| c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)) ),
inference(prop_impl_just,[status(thm)],[c_1446]) ).
cnf(c_2942,plain,
( ~ class_Groups_Ogroup__add(X0)
| c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oplus__class_Oplus(X0,X2,X1)) ),
inference(prop_impl_just,[status(thm)],[c_1445]) ).
cnf(c_2948,plain,
( ~ class_Groups_Ogroup__add(X0)
| c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_1509]) ).
cnf(c_3140,plain,
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1)) ),
inference(prop_impl_just,[status(thm)],[c_983]) ).
cnf(c_3436,plain,
( ~ class_Rings_Olinordered__semidom(X0)
| c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0))) ),
inference(prop_impl_just,[status(thm)],[c_1120]) ).
cnf(c_3530,plain,
( ~ class_Rings_Ocomm__semiring__1(X0)
| c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1) ),
inference(prop_impl_just,[status(thm)],[c_1545]) ).
cnf(c_14471,plain,
( ~ class_Int_Onumber__ring(X0)
| c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(X0) ),
inference(demodulation,[status(thm)],[c_2804,c_78,c_79,c_167,c_178]) ).
cnf(c_14753,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0)),
inference(light_normalisation,[status(thm)],[c_437,c_435]) ).
cnf(c_14754,plain,
c_Groups_Oabs__class_Oabs(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(light_normalisation,[status(thm)],[c_14753,c_435]) ).
cnf(c_14755,plain,
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(demodulation,[status(thm)],[c_14754,c_931]) ).
cnf(c_17579,plain,
( ~ class_Int_Onumber__ring(X0)
| c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)) ),
inference(demodulation,[status(thm)],[c_2812,c_79,c_167,c_178]) ).
cnf(c_19091,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
inference(demodulation,[status(thm)],[c_51,c_931,c_14755]) ).
cnf(c_19182,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,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,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,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_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____))))),
inference(demodulation,[status(thm)],[c_1723,c_78,c_79,c_167,c_178,c_931,c_14755]) ).
cnf(c_21458,plain,
( X0 != tc_RealDef_Oreal
| c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2)) ),
inference(resolution_lifted,[status(thm)],[c_2856,c_1668]) ).
cnf(c_21459,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1)),
inference(unflattening,[status(thm)],[c_21458]) ).
cnf(c_21621,plain,
( X0 != tc_RealDef_Oreal
| c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1) ),
inference(resolution_lifted,[status(thm)],[c_3530,c_1664]) ).
cnf(c_21622,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0),
inference(unflattening,[status(thm)],[c_21621]) ).
cnf(c_21778,plain,
( X0 != tc_RealDef_Oreal
| c_Orderings_Oord__class_Oless(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Oone__class_Oone(X0))) ),
inference(resolution_lifted,[status(thm)],[c_3436,c_1653]) ).
cnf(c_21779,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(unflattening,[status(thm)],[c_21778]) ).
cnf(c_23542,plain,
( X0 != tc_RealDef_Oreal
| c_Groups_Ominus__class_Ominus(X0,X1,c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Oplus__class_Oplus(X0,X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_2948,c_1674]) ).
cnf(c_23543,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),
inference(unflattening,[status(thm)],[c_23542]) ).
cnf(c_23564,plain,
( X0 != tc_RealDef_Oreal
| c_Groups_Oplus__class_Oplus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1),c_Groups_Ouminus__class_Ouminus(X0,X2)) = c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Oplus__class_Oplus(X0,X2,X1)) ),
inference(resolution_lifted,[status(thm)],[c_2942,c_1674]) ).
cnf(c_23565,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0)),
inference(unflattening,[status(thm)],[c_23564]) ).
cnf(c_24597,plain,
( X0 != tc_Complex_Ocomplex
| c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2)) = c_RealVector_Onorm__class_Onorm(X0,c_Groups_Ominus__class_Ominus(X0,X2,X1)) ),
inference(resolution_lifted,[status(thm)],[c_3140,c_1693]) ).
cnf(c_24598,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X0,X1)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X0)),
inference(unflattening,[status(thm)],[c_24597]) ).
cnf(c_24724,plain,
( X0 != tc_RealDef_Oreal
| c_Groups_Otimes__class_Otimes(X0,c_Rings_Oinverse__class_Odivide(X0,X1,X2),X2) = X1
| c_Groups_Ozero__class_Ozero(X0) = X2 ),
inference(resolution_lifted,[status(thm)],[c_1236,c_1652]) ).
cnf(c_24725,plain,
( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1),X1) = X0
| c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = X1 ),
inference(unflattening,[status(thm)],[c_24724]) ).
cnf(c_31732,plain,
( X0 != tc_RealDef_Oreal
| c_Groups_Oplus__class_Oplus(X0,c_Groups_Oone__class_Oone(X0),c_Int_Onumber__class_Onumber__of(X0,X1)) = c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1)) ),
inference(resolution_lifted,[status(thm)],[c_17579,c_1677]) ).
cnf(c_31733,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(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),X0)),
inference(unflattening,[status(thm)],[c_31732]) ).
cnf(c_31750,plain,
( X0 != tc_RealDef_Oreal
| c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(X0) ),
inference(resolution_lifted,[status(thm)],[c_14471,c_1677]) ).
cnf(c_31751,plain,
c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(unflattening,[status(thm)],[c_31750]) ).
cnf(c_36580,plain,
( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = X1
| c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1),X1) = X0 ),
inference(prop_impl_just,[status(thm)],[c_24725]) ).
cnf(c_36581,plain,
( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X0,X1),X1) = X0
| c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = X1 ),
inference(renaming,[status(thm)],[c_36580]) ).
cnf(c_45872,plain,
( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0)) = X1
| c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = X0 ),
inference(demodulation,[status(thm)],[c_36581,c_331]) ).
cnf(c_46152,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0)),
inference(demodulation,[status(thm)],[c_23565,c_435]) ).
cnf(c_46157,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X0),
inference(demodulation,[status(thm)],[c_21459,c_435,c_46152]) ).
cnf(c_49729,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))))),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))))))),
inference(demodulation,[status(thm)],[c_19091,c_21622,c_24598]) ).
cnf(c_49751,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,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_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,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_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))))),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))))))),
inference(demodulation,[status(thm)],[c_19182,c_21622,c_24598,c_31733,c_31751]) ).
cnf(c_76403,plain,
( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = X0
| c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0)) = X1 ),
inference(prop_impl_just,[status(thm)],[c_45872]) ).
cnf(c_76404,plain,
( c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,X0,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X0)) = X1
| c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = X0 ),
inference(renaming,[status(thm)],[c_76403]) ).
cnf(c_117944,plain,
c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1)) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0)),
inference(superposition,[status(thm)],[c_23543,c_14755]) ).
cnf(c_586621,plain,
c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0),X1)) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
inference(superposition,[status(thm)],[c_46157,c_14755]) ).
cnf(c_586646,plain,
c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1)) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0)),
inference(light_normalisation,[status(thm)],[c_586621,c_23543,c_117944]) ).
cnf(c_618794,plain,
c_Orderings_Oord__class_Oless__eq(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,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(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,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))))))),
inference(demodulation,[status(thm)],[c_49729,c_21622,c_117944,c_586646]) ).
cnf(c_618930,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,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_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,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_Groups_Oplus__class_Oplus(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,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))))))),
inference(demodulation,[status(thm)],[c_49751,c_21622,c_117944,c_586646]) ).
cnf(c_643332,plain,
( ~ c_Orderings_Oord__class_Oless__eq(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,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____)))),c_Groups_Oplus__class_Oplus(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,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____),c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_g____(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))))))
| 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_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(superposition,[status(thm)],[c_76404,c_618930]) ).
cnf(c_643986,plain,
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_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[status(thm)],[c_643332,c_618794]) ).
cnf(c_644015,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(demodulation,[status(thm)],[c_21779,c_643986]) ).
cnf(c_644016,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_644015,c_420]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW230+1 : TPTP v8.2.0. Released v5.2.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n012.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Jun 19 05:41:54 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 287.85/37.87 % SZS status Started for theBenchmark.p
% 287.85/37.87 % SZS status Theorem for theBenchmark.p
% 287.85/37.87
% 287.85/37.87 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 287.85/37.87
% 287.85/37.87 ------ iProver source info
% 287.85/37.87
% 287.85/37.87 git: date: 2024-06-12 09:56:46 +0000
% 287.85/37.87 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 287.85/37.87 git: non_committed_changes: false
% 287.85/37.87
% 287.85/37.87 ------ Parsing...
% 287.85/37.87 ------ Clausification by vclausify_rel & Parsing by iProver...
% 287.85/37.87
% 287.85/37.87 ------ Preprocessing... sup_sim: 232 sf_s rm: 21 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe:64:0s pe_e sup_sim: 461 sf_s rm: 60 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 60 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 60 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 60 0s sf_e pe_s pe_e
% 287.85/37.87
% 287.85/37.87 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 287.85/37.87
% 287.85/37.87 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 287.85/37.87 ------ Proving...
% 287.85/37.87 ------ Problem Properties
% 287.85/37.87
% 287.85/37.87
% 287.85/37.87 clauses 1225
% 287.85/37.87 conjectures 0
% 287.85/37.87 EPR 34
% 287.85/37.87 Horn 1004
% 287.85/37.87 unary 400
% 287.85/37.87 binary 453
% 287.85/37.87 lits 2525
% 287.85/37.87 lits eq 703
% 287.85/37.87 fd_pure 0
% 287.85/37.87 fd_pseudo 0
% 287.85/37.87 fd_cond 105
% 287.85/37.87 fd_pseudo_cond 54
% 287.85/37.87 AC symbols 0
% 287.85/37.87
% 287.85/37.87 ------ Schedule dynamic 5 is on
% 287.85/37.87
% 287.85/37.87 ------ no conjectures: strip conj schedule
% 287.85/37.87
% 287.85/37.87 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 287.85/37.87
% 287.85/37.87
% 287.85/37.87 ------
% 287.85/37.87 Current options:
% 287.85/37.87 ------
% 287.85/37.87
% 287.85/37.87
% 287.85/37.87
% 287.85/37.87
% 287.85/37.87 ------ Proving...
% 287.85/37.87 Proof_search_loop: time out after: 7838 full_loop iterations
% 287.85/37.87
% 287.85/37.87 ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" stripped conjectures Time Limit: 15.
% 287.85/37.87
% 287.85/37.87
% 287.85/37.87 ------
% 287.85/37.87 Current options:
% 287.85/37.87 ------
% 287.85/37.87
% 287.85/37.87
% 287.85/37.87
% 287.85/37.87
% 287.85/37.87 ------ Proving...
% 287.85/37.87 Proof_search_loop: time out after: 8788 full_loop iterations
% 287.85/37.87
% 287.85/37.87 ------ Option_1: Negative Selections stripped conjectures Time Limit: 35.
% 287.85/37.87
% 287.85/37.87
% 287.85/37.87 ------
% 287.85/37.87 Current options:
% 287.85/37.87 ------
% 287.85/37.87
% 287.85/37.87
% 287.85/37.87
% 287.85/37.87
% 287.85/37.87 ------ Proving...
% 287.85/37.87
% 287.85/37.87
% 287.85/37.87 % SZS status Theorem for theBenchmark.p
% 287.85/37.87
% 287.85/37.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 287.85/37.87
% 287.85/37.89
%------------------------------------------------------------------------------