%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW226+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:29:17 PM UTC 2026
% Result : Theorem 63.56s 16.37s
% Output : CNFRefutation 63.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 50
% Syntax : Number of formulae : 237 ( 142 unt; 11 def)
% Number of atoms : 481 ( 178 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 227 ( 101 ~; 100 |; 12 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 12 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 10 con; 0-3 aty)
% Number of variables : 320 ( 0 sgn 314 !; 6 ?; 130 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),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_RealDef_Oreal(tc_Nat_Onat,v_N2____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_N2) ).
fof(f20,axiom,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Pls__right) ).
fof(f21,axiom,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Pls) ).
fof(f23,axiom,
! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Bit0__def) ).
fof(f30,axiom,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__norm__def) ).
fof(f110,axiom,
! [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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__left__commute) ).
fof(f115,axiom,
! [X0,X1,X2] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zadd__assoc) ).
fof(f138,axiom,
! [X0] : c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X0)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__Suc) ).
fof(f139,axiom,
! [X0] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__add__one__not__less__self) ).
fof(f147,axiom,
! [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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_numeral__1__eq__1) ).
fof(f152,axiom,
! [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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__special_I2_J) ).
fof(f158,axiom,
! [X0] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)) = c_RealDef_Oreal(tc_Nat_Onat,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__real__of__nat__cancel) ).
fof(f166,axiom,
! [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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__diff__def) ).
fof(f168,axiom,
! [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))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__minus__add__cancel) ).
fof(f192,axiom,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__trans) ).
fof(f193,axiom,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,X0))
<=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__le__iff) ).
fof(f194,axiom,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__linear) ).
fof(f209,axiom,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
<=> ? [X2] : X0 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__Suc__ex__iff) ).
fof(f213,axiom,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
<=> ( X1 != X0
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__less__def) ).
fof(f273,axiom,
! [X0] : c_Nat_OSuc(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__eq__plus1) ).
fof(f280,axiom,
! [X0] : c_Int_OBit1(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Bit1__def) ).
fof(f309,axiom,
! [X0,X1] :
( class_Groups_Ogroup__add(X1)
=> c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_minus__minus) ).
fof(f338,axiom,
! [X0,X1,X2] :
( class_Groups_Ogroup__add(X2)
=> c_Groups_Ominus__class_Ominus(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0),X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__diff__cancel) ).
fof(f339,axiom,
! [X0,X1,X2] :
( class_Groups_Ogroup__add(X2)
=> c_Groups_Oplus__class_Oplus(X2,c_Groups_Ominus__class_Ominus(X2,X1,X0),X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__add__cancel) ).
fof(f534,axiom,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__add__commute) ).
fof(f591,axiom,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_plus__nat_Oadd__0) ).
fof(f627,axiom,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
<=> ? [X2] : X0 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__iff__add) ).
fof(f641,axiom,
! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__add__inverse2) ).
fof(f642,axiom,
! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__add__inverse) ).
fof(f644,axiom,
! [X0,X1,X2] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__cancel) ).
fof(f674,axiom,
! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__add__0) ).
fof(f683,axiom,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
=> c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X0) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__diff__assoc2) ).
fof(f853,axiom,
! [X0,X1] :
( class_Rings_Olinordered__semidom(X1)
=> c_Orderings_Oord__class_Oless(X1,X0,c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Oone__class_Oone(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__add__one) ).
fof(f926,axiom,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__1(X2)
=> c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(f1110,axiom,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semidom) ).
fof(f1121,axiom,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).
fof(f1133,axiom,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ogroup__add) ).
fof(f1136,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Int_Onumber__ring) ).
fof(f1185,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),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_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1186,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),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_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),
inference(negated_conjecture,[status(cth)],[f1185]) ).
fof(f1189,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),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_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),
inference(flattening,[],[f1186]) ).
fof(f1268,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(ennf_transformation,[],[f147]) ).
fof(f1274,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(ennf_transformation,[],[f152]) ).
fof(f1292,plain,
! [X0,X1,X2] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) ),
inference(ennf_transformation,[],[f192]) ).
fof(f1293,plain,
! [X0,X1,X2] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) ),
inference(flattening,[],[f1292]) ).
fof(f1427,plain,
! [X0,X1] :
( ~ class_Groups_Ogroup__add(X1)
| c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X0)) = X0 ),
inference(ennf_transformation,[],[f309]) ).
fof(f1459,plain,
! [X0,X1,X2] :
( ~ class_Groups_Ogroup__add(X2)
| c_Groups_Ominus__class_Ominus(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0),X0) = X1 ),
inference(ennf_transformation,[],[f338]) ).
fof(f1460,plain,
! [X0,X1,X2] :
( ~ class_Groups_Ogroup__add(X2)
| c_Groups_Oplus__class_Oplus(X2,c_Groups_Ominus__class_Ominus(X2,X1,X0),X0) = X1 ),
inference(ennf_transformation,[],[f339]) ).
fof(f1772,plain,
! [X0,X1,X2] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X0) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X2) ),
inference(ennf_transformation,[],[f683]) ).
fof(f1939,plain,
! [X0,X1] :
( ~ class_Rings_Olinordered__semidom(X1)
| c_Orderings_Oord__class_Oless(X1,X0,c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Oone__class_Oone(X1))) ),
inference(ennf_transformation,[],[f853]) ).
fof(f2033,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(ennf_transformation,[],[f926]) ).
fof(f2174,plain,
! [X0,X1] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,X0))
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,X0)) ) ),
inference(nnf_transformation,[],[f193]) ).
fof(f2182,plain,
! [X0,X1] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
| ? [X2] : X0 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) )
& ( ! [X2] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != X0
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ) ),
inference(nnf_transformation,[],[f209]) ).
fof(f2183,plain,
! [X0,X1] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
| ? [X3] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3) = X0 )
& ( ! [X2] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != X0
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ) ),
inference(rectify,[],[f2182]) ).
fof(f2184,plain,
! [X0,X1] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,sK17(X0,X1)) = X0 )
& ( ! [X2] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != X0
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X3,sK17(X0,X1))],[f2183]) ).
fof(f2187,plain,
! [X0,X1] :
( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| ( X1 != X0
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) )
& ( X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
inference(nnf_transformation,[],[f213]) ).
fof(f2188,plain,
! [X0,X1] :
( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| ( X1 != X0
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) )
& ( X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
inference(flattening,[],[f2187]) ).
fof(f2414,plain,
! [X0,X1] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
| ? [X2] : X0 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) )
& ( ! [X2] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != X0
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ) ),
inference(nnf_transformation,[],[f627]) ).
fof(f2415,plain,
! [X0,X1] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
| ? [X3] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3) = X0 )
& ( ! [X2] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != X0
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ) ),
inference(rectify,[],[f2414]) ).
fof(f2416,plain,
! [X0,X1] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,sK29(X0,X1)) = X0 )
& ( ! [X2] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != X0
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(X3,sK29(X0,X1))],[f2415]) ).
fof(f2559,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),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_RealDef_Oreal(tc_Nat_Onat,v_N2____)),
inference(cnf_transformation,[],[f1]) ).
fof(f2581,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0,
inference(cnf_transformation,[],[f20]) ).
fof(f2582,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0) = X0,
inference(cnf_transformation,[],[f21]) ).
fof(f2584,plain,
! [X0] : c_Int_OBit0(X0) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,X0),
inference(cnf_transformation,[],[f23]) ).
fof(f2596,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f2700,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,[],[f110]) ).
fof(f2706,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,[],[f115]) ).
fof(f2733,plain,
! [X0] : c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X0)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(cnf_transformation,[],[f138]) ).
fof(f2734,plain,
! [X0] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0),
inference(cnf_transformation,[],[f139]) ).
fof(f2743,plain,
! [X0] :
( ~ class_Int_Onumber__ring(X0)
| c_Groups_Oone__class_Oone(X0) = c_Int_Onumber__class_Onumber__of(X0,c_Int_OBit1(c_Int_OPls)) ),
inference(cnf_transformation,[],[f1268]) ).
fof(f2754,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(cnf_transformation,[],[f1274]) ).
fof(f2763,plain,
! [X0] : c_RealDef_Oreal(tc_Nat_Onat,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)),
inference(cnf_transformation,[],[f158]) ).
fof(f2774,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,[],[f166]) ).
fof(f2776,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,[],[f168]) ).
fof(f2803,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) ),
inference(cnf_transformation,[],[f1293]) ).
fof(f2804,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_RealDef_Oreal(tc_Nat_Onat,X0))
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
inference(cnf_transformation,[],[f2174]) ).
fof(f2806,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f2828,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
| c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,sK17(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f2184]) ).
fof(f2836,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f2188]) ).
fof(f2837,plain,
! [X0,X1] :
( X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f2188]) ).
fof(f2925,plain,
! [X0] : c_Nat_OSuc(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(cnf_transformation,[],[f273]) ).
fof(f2940,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,[],[f280]) ).
fof(f2986,plain,
! [X0,X1] :
( ~ class_Groups_Ogroup__add(X1)
| c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f1427]) ).
fof(f3026,plain,
! [X2,X0,X1] :
( ~ class_Groups_Ogroup__add(X2)
| c_Groups_Ominus__class_Ominus(X2,c_Groups_Oplus__class_Oplus(X2,X1,X0),X0) = X1 ),
inference(cnf_transformation,[],[f1459]) ).
fof(f3027,plain,
! [X2,X0,X1] :
( ~ class_Groups_Ogroup__add(X2)
| c_Groups_Oplus__class_Oplus(X2,c_Groups_Ominus__class_Ominus(X2,X1,X0),X0) = X1 ),
inference(cnf_transformation,[],[f1460]) ).
fof(f3357,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),
inference(cnf_transformation,[],[f534]) ).
fof(f3527,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) = X0,
inference(cnf_transformation,[],[f591]) ).
fof(f3577,plain,
! [X2,X0,X1] :
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2) != X0
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
inference(cnf_transformation,[],[f2416]) ).
fof(f3593,plain,
! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X0) = X1,
inference(cnf_transformation,[],[f641]) ).
fof(f3594,plain,
! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X1) = X0,
inference(cnf_transformation,[],[f642]) ).
fof(f3596,plain,
! [X2,X0,X1] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X0)),
inference(cnf_transformation,[],[f644]) ).
fof(f3653,plain,
! [X0,X1] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)),
inference(cnf_transformation,[],[f674]) ).
fof(f3665,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X1)
| c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X0) ),
inference(cnf_transformation,[],[f1772]) ).
fof(f3920,plain,
! [X0,X1] :
( ~ class_Rings_Olinordered__semidom(X1)
| c_Orderings_Oord__class_Oless(X1,X0,c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Oone__class_Oone(X1))) ),
inference(cnf_transformation,[],[f1939]) ).
fof(f4023,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,[],[f2033]) ).
fof(f4220,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1110]) ).
fof(f4231,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1121]) ).
fof(f4243,plain,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1133]) ).
fof(f4246,plain,
class_Int_Onumber__ring(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1136]) ).
fof(f4295,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),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_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),
inference(cnf_transformation,[],[f1189]) ).
fof(f4296,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(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_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_RealDef_Oreal(tc_Nat_Onat,v_N2____)),
inference(definition_unfolding,[],[f2559,f2584,f2940]) ).
fof(f4371,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
inference(definition_unfolding,[],[f2733,f2925]) ).
fof(f4376,plain,
! [X0] :
( ~ class_Int_Onumber__ring(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)) ),
inference(definition_unfolding,[],[f2743,f2940]) ).
fof(f4381,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_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),X0)) ),
inference(definition_unfolding,[],[f2754,f2940]) ).
fof(f4582,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(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_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_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
inference(definition_unfolding,[],[f4295,f2584,f2940,f2925]) ).
fof(f4704,plain,
! [X2,X1] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),
inference(equality_resolution,[],[f3577]) ).
tcf(c_49,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(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_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_RealDef_Oreal(tc_Nat_Onat,v_N2____)),
inference(cnf_transformation,[],[f4296]) ).
tcf(c_71,plain,
! [X0: $i] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,X0,c_Int_OPls) = X0,
inference(cnf_transformation,[],[f2581]) ).
tcf(c_72,plain,
! [X0: $i] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Int_OPls,X0) = X0,
inference(cnf_transformation,[],[f2582]) ).
tcf(c_85,plain,
! [X0: $i] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f2596]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i,X2: $i] : 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,[],[f2700]) ).
tcf(c_190,plain,
! [X0: $i,X1: $i,X2: $i] : 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,[],[f2706]) ).
tcf(c_217,plain,
! [X0: $i] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat))),
inference(cnf_transformation,[],[f4371]) ).
tcf(c_218,plain,
! [X0: $i] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0),
inference(cnf_transformation,[],[f2734]) ).
tcf(c_227,plain,
! [X0: $i] :
( ( 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) )
| ~ class_Int_Onumber__ring(X0) ),
inference(cnf_transformation,[],[f4376]) ).
tcf(c_236,plain,
! [X0: $i,X1: $i] :
( ( 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)) )
| ~ class_Int_Onumber__ring(X0) ),
inference(cnf_transformation,[],[f4381]) ).
tcf(c_245,plain,
! [X0: $i] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)) = c_RealDef_Oreal(tc_Nat_Onat,X0),
inference(cnf_transformation,[],[f2763]) ).
tcf(c_256,plain,
! [X0: $i,X1: $i] : 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,[],[f2774]) ).
tcf(c_258,plain,
! [X0: $i,X1: $i] : 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,[],[f2776]) ).
tcf(c_285,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
inference(cnf_transformation,[],[f2803]) ).
tcf(c_287,plain,
! [X0: $i,X1: $i] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0),c_RealDef_Oreal(tc_Nat_Onat,X1)) ),
inference(cnf_transformation,[],[f2804]) ).
tcf(c_288,plain,
! [X0: $i,X1: $i] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
inference(cnf_transformation,[],[f2806]) ).
tcf(c_311,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,sK17(X1,X0)) = X1 )
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
inference(cnf_transformation,[],[f2828]) ).
tcf(c_317,plain,
! [X0: $i,X1: $i] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
| ( X0 = X1 )
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
inference(cnf_transformation,[],[f2837]) ).
tcf(c_318,plain,
! [X0: $i,X1: $i] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
inference(cnf_transformation,[],[f2836]) ).
tcf(c_459,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = X1 )
| ~ class_Groups_Ogroup__add(X0) ),
inference(cnf_transformation,[],[f2986]) ).
tcf(c_499,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = X1 )
| ~ class_Groups_Ogroup__add(X0) ),
inference(cnf_transformation,[],[f3026]) ).
tcf(c_500,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X2) = X1 )
| ~ class_Groups_Ogroup__add(X0) ),
inference(cnf_transformation,[],[f3027]) ).
tcf(c_816,plain,
! [X0: $i,X1: $i] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),
inference(cnf_transformation,[],[f3357]) ).
tcf(c_974,plain,
! [X0: $i] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) = X0,
inference(cnf_transformation,[],[f3527]) ).
tcf(c_1023,plain,
! [X0: $i,X1: $i] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)),
inference(cnf_transformation,[],[f4704]) ).
tcf(c_1040,plain,
! [X0: $i,X1: $i] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X1) = X0,
inference(cnf_transformation,[],[f3593]) ).
tcf(c_1041,plain,
! [X0: $i,X1: $i] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),X0) = X1,
inference(cnf_transformation,[],[f3594]) ).
tcf(c_1043,plain,
! [X0: $i,X1: $i,X2: $i] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X2)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),
inference(cnf_transformation,[],[f3596]) ).
tcf(c_1100,plain,
! [X0: $i,X1: $i] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(cnf_transformation,[],[f3653]) ).
tcf(c_1112,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X0),X2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X0) )
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1) ),
inference(cnf_transformation,[],[f3665]) ).
tcf(c_1363,plain,
! [X0: $i,X1: $i] :
( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0)))
| ~ class_Rings_Olinordered__semidom(X0) ),
inference(cnf_transformation,[],[f3920]) ).
tcf(c_1464,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1) )
| ~ class_Rings_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f4023]) ).
tcf(c_1659,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f4220]) ).
tcf(c_1670,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f4231]) ).
tcf(c_1682,plain,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f4243]) ).
tcf(c_1685,plain,
class_Int_Onumber__ring(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f4246]) ).
tcf(c_1734,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(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_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_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
inference(cnf_transformation,[],[f4582]) ).
tcf(c_2793,plain,
! [X0: $i] :
( ( 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) )
| ~ class_Int_Onumber__ring(X0) ),
inference(prop_impl_just,[status(thm)],[c_227]) ).
tcf(c_2799,plain,
! [X0: $i,X1: $i] :
( ( 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)) )
| ~ class_Int_Onumber__ring(X0) ),
inference(prop_impl_just,[status(thm)],[c_236]) ).
tcf(c_3001,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = X1 )
| ~ class_Groups_Ogroup__add(X0) ),
inference(prop_impl_just,[status(thm)],[c_459]) ).
tcf(c_3009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = X1 )
| ~ class_Groups_Ogroup__add(X0) ),
inference(prop_impl_just,[status(thm)],[c_499]) ).
tcf(c_3011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X2) = X1 )
| ~ class_Groups_Ogroup__add(X0) ),
inference(prop_impl_just,[status(thm)],[c_500]) ).
tcf(c_3503,plain,
! [X0: $i,X1: $i] :
( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0)))
| ~ class_Rings_Olinordered__semidom(X0) ),
inference(prop_impl_just,[status(thm)],[c_1363]) ).
tcf(c_3559,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1) )
| ~ class_Rings_Ocomm__semiring__1(X0) ),
inference(prop_impl_just,[status(thm)],[c_1464]) ).
tcf(c_12832,plain,
! [X0: $i] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X0)) = c_RealDef_Oreal(tc_Nat_Onat,X0),
inference(demodulation,[status(thm)],[c_245,c_85]) ).
tcf(c_13039,plain,
! [X0: $i] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0),
inference(light_normalisation,[status(thm)],[c_218,c_85]) ).
tcf(c_14500,plain,
! [X0: $i] :
( ( c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(X0) )
| ~ class_Int_Onumber__ring(X0) ),
inference(demodulation,[status(thm)],[c_2793,c_71,c_72,c_184,c_190]) ).
tcf(c_14811,plain,
! [X0: $i,X1: $i] : 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_258,c_256]) ).
tcf(c_14812,plain,
! [X0: $i,X1: $i] : 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_14811,c_256]) ).
tcf(c_14813,plain,
! [X0: $i,X1: $i] : 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_14812,c_85]) ).
tcf(c_17658,plain,
! [X0: $i,X1: $i] :
( ( 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)) )
| ~ class_Int_Onumber__ring(X0) ),
inference(demodulation,[status(thm)],[c_2799,c_72,c_184,c_190]) ).
tcf(c_18972,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(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_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_RealDef_Oreal(tc_Nat_Onat,v_N2____)),
inference(demodulation,[status(thm)],[c_49,c_71,c_72,c_85,c_184,c_190,c_14813]) ).
tcf(c_19040,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(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_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_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N2____,v_N1____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(demodulation,[status(thm)],[c_1734,c_71,c_72,c_85,c_184,c_190,c_217,c_816,c_14813]) ).
tcf(c_21692,plain,
! [X0: $i,X1: $i] :
( c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0)))
| ( X0 != tc_RealDef_Oreal ) ),
inference(resolution_lifted,[status(thm)],[c_3503,c_1659]) ).
tcf(c_21693,plain,
! [X0: $i] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(unflattening,[status(thm)],[c_21692]) ).
tcf(c_24018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Groups_Oplus__class_Oplus(X0,c_Groups_Ominus__class_Ominus(X0,X1,X2),X2) = X1 )
| ( X0 != tc_RealDef_Oreal ) ),
inference(resolution_lifted,[status(thm)],[c_3011,c_1682]) ).
tcf(c_24019,plain,
! [X0: $i,X1: $i] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X0,X1),X1) = X0,
inference(unflattening,[status(thm)],[c_24018]) ).
tcf(c_24024,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Groups_Ominus__class_Ominus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X2) = X1 )
| ( X0 != tc_RealDef_Oreal ) ),
inference(resolution_lifted,[status(thm)],[c_3009,c_1682]) ).
tcf(c_24025,plain,
! [X0: $i,X1: $i] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1),X1) = X0,
inference(unflattening,[status(thm)],[c_24024]) ).
tcf(c_24051,plain,
! [X0: $i,X1: $i] :
( ( c_Groups_Ouminus__class_Ouminus(X0,c_Groups_Ouminus__class_Ouminus(X0,X1)) = X1 )
| ( X0 != tc_RealDef_Oreal ) ),
inference(resolution_lifted,[status(thm)],[c_3001,c_1682]) ).
tcf(c_24052,plain,
! [X0: $i] : c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)) = X0,
inference(unflattening,[status(thm)],[c_24051]) ).
tcf(c_25676,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1) )
| ( X0 != tc_RealDef_Oreal ) ),
inference(resolution_lifted,[status(thm)],[c_3559,c_1670]) ).
tcf(c_25677,plain,
! [X0: $i,X1: $i] : 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_25676]) ).
tcf(c_32043,plain,
! [X0: $i,X1: $i] :
( ( 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)) )
| ( X0 != tc_RealDef_Oreal ) ),
inference(resolution_lifted,[status(thm)],[c_17658,c_1685]) ).
tcf(c_32044,plain,
! [X0: $i] : 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_32043]) ).
tcf(c_32121,plain,
! [X0: $i] :
( ( c_Int_Onumber__class_Onumber__of(X0,c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(X0) )
| ( X0 != tc_RealDef_Oreal ) ),
inference(resolution_lifted,[status(thm)],[c_14500,c_1685]) ).
tcf(c_32122,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_32121]) ).
tcf(c_44615,plain,
! [X0: $i,X1: $i] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_24019,c_25677]) ).
tcf(c_44673,plain,
! [X0: $i] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)),X0),
inference(demodulation,[status(thm)],[c_13039,c_25677]) ).
tcf(c_48917,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(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_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_RealDef_Oreal(tc_Nat_Onat,v_N2____)),
inference(demodulation,[status(thm)],[c_18972,c_32044,c_32122]) ).
tcf(c_49436,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(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_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_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N2____,v_N1____)))),
inference(demodulation,[status(thm)],[c_19040,c_25677,c_32044,c_32122]) ).
tcf(c_89156,definition,
iPr_def_10 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_89157,definition,
iPr_def_11 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,iPr_def_10,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_89158,definition,
iPr_def_12 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_89159,definition,
iPr_def_13 = c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p,v_z____),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_89160,definition,
iPr_def_14 = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_89161,definition,
iPr_def_15 = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,iPr_def_12,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_89162,definition,
iPr_def_16 = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_89163,definition,
iPr_def_17 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,iPr_def_11,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_89164,definition,
iPr_def_18 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N2____,v_N1____),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_89165,definition,
iPr_def_19 = c_RealDef_Oreal(tc_Nat_Onat,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_89166,definition,
iPr_def_20 = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,iPr_def_10,iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_89167,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,iPr_def_17,iPr_def_20),
inference(demodulation,[status(thm)],[c_49436,c_89164,c_89165,c_89166,c_89159,c_89160,c_89158,c_89161,c_89162,c_89156,c_89157,c_89163]) ).
tcf(c_106395,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v_N2____,iPr_def_18),
inference(superposition,[status(thm)],[c_89164,c_1023]) ).
tcf(c_106631,plain,
! [X0: $i] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,iPr_def_10)),
inference(light_normalisation,[status(thm)],[c_21693,c_89156]) ).
tcf(c_106634,plain,
! [X0: $i] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_106631,c_318]) ).
tcf(c_106640,plain,
! [X0: $i] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,iPr_def_10,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)),X0),
inference(light_normalisation,[status(thm)],[c_44673,c_89156]) ).
tcf(c_106669,plain,
c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,iPr_def_12) = v_s____,
inference(superposition,[status(thm)],[c_89158,c_24052]) ).
tcf(c_106670,plain,
c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____) = iPr_def_12,
inference(superposition,[status(thm)],[c_106669,c_24052]) ).
tcf(c_106850,plain,
c_Groups_Ominus__class_Ominus(tc_Nat_Onat,iPr_def_18,v_N1____) = v_N2____,
inference(superposition,[status(thm)],[c_89164,c_1040]) ).
tcf(c_106858,plain,
c_Groups_Ominus__class_Ominus(tc_Nat_Onat,iPr_def_18,v_N2____) = v_N1____,
inference(superposition,[status(thm)],[c_89164,c_1041]) ).
tcf(c_106942,plain,
c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,iPr_def_19) = iPr_def_19,
inference(superposition,[status(thm)],[c_89165,c_12832]) ).
tcf(c_106952,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,iPr_def_10,iPr_def_19),iPr_def_19),
inference(superposition,[status(thm)],[c_106942,c_106640]) ).
tcf(c_106957,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,iPr_def_20,iPr_def_19),
inference(light_normalisation,[status(thm)],[c_106952,c_89166]) ).
tcf(c_107101,plain,
c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_N2____,iPr_def_18) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(superposition,[status(thm)],[c_89164,c_1100]) ).
tcf(c_107228,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,iPr_def_11,iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_89157,c_24025]) ).
tcf(c_107485,plain,
! [X0: $i] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_25677,c_106634]) ).
tcf(c_107502,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,iPr_def_19,iPr_def_20),
inference(superposition,[status(thm)],[c_89166,c_107485]) ).
tcf(c_107569,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,iPr_def_10,iPr_def_10) = iPr_def_11,
inference(superposition,[status(thm)],[c_107228,c_44615]) ).
tcf(c_107618,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,iPr_def_17,c_RealDef_Oreal(tc_Nat_Onat,v_N2____)),
inference(light_normalisation,[status(thm)],[c_48917,c_89156,c_89159,c_89160,c_89161,c_89162,c_89163,c_106670,c_107569]) ).
tcf(c_107619,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,iPr_def_17,c_RealDef_Oreal(tc_Nat_Onat,v_N2____)),
inference(superposition,[status(thm)],[c_107618,c_318]) ).
tcf(c_109730,plain,
! [X0: $i] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,iPr_def_18,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,iPr_def_19,c_RealDef_Oreal(tc_Nat_Onat,X0)) ),
inference(superposition,[status(thm)],[c_89165,c_287]) ).
tcf(c_113561,plain,
! [X0: $i] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,iPr_def_20)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_107502,c_285]) ).
tcf(c_113563,plain,
! [X0: $i] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealDef_Oreal(tc_Nat_Onat,v_N2____))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_107619,c_285]) ).
tcf(c_114187,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N2____,sK17(iPr_def_18,v_N2____)) = iPr_def_18,
inference(superposition,[status(thm)],[c_106395,c_311]) ).
tcf(c_114695,plain,
! [X0: $i] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,iPr_def_19,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_288,c_113561]) ).
tcf(c_116100,plain,
c_Groups_Ominus__class_Ominus(tc_Nat_Onat,iPr_def_18,v_N2____) = sK17(iPr_def_18,v_N2____),
inference(superposition,[status(thm)],[c_114187,c_1041]) ).
tcf(c_116109,plain,
sK17(iPr_def_18,v_N2____) = v_N1____,
inference(light_normalisation,[status(thm)],[c_116100,c_106858]) ).
tcf(c_116118,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N2____,v_N1____) = iPr_def_18,
inference(demodulation,[status(thm)],[c_114187,c_116109]) ).
tcf(c_127567,plain,
! [X0: $i] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N2____,X0),iPr_def_18) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,v_N1____),
inference(superposition,[status(thm)],[c_116118,c_1043]) ).
tcf(c_198541,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,iPr_def_18,v_N2____)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,iPr_def_19,iPr_def_17) ),
inference(superposition,[status(thm)],[c_113563,c_109730]) ).
tcf(c_198604,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,iPr_def_18,v_N2____)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_114695,c_198541]) ).
tcf(c_198649,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,iPr_def_18,v_N2____)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,iPr_def_17,iPr_def_20)
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_198604,c_317]) ).
tcf(c_198650,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,iPr_def_18,v_N2____)
| ( iPr_def_17 = iPr_def_20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_198649,c_89167]) ).
tcf(c_198669,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_N2____,iPr_def_18),X0) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N2____,X0),iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_198650,c_1112]) ).
tcf(c_198701,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,v_N1____) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_198669,c_974,c_107101,c_127567]) ).
tcf(c_200471,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( v_N2____ = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_198701,c_106850]) ).
tcf(c_201860,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,iPr_def_17,c_RealDef_Oreal(tc_Nat_Onat,iPr_def_18))
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_200471,c_107619]) ).
tcf(c_201871,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,iPr_def_17,iPr_def_19)
| ( iPr_def_17 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_201860,c_89165]) ).
tcf(c_201983,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,iPr_def_17,iPr_def_20)
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_201871,c_113561]) ).
tcf(c_201995,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,iPr_def_17,iPr_def_20)
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_201983,c_317]) ).
tcf(c_201996,plain,
iPr_def_17 = iPr_def_20,
inference(forward_subsumption_resolution,[status(thm)],[c_201995,c_89167]) ).
tcf(c_202148,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,iPr_def_19,iPr_def_17),
inference(demodulation,[status(thm)],[c_107502,c_201996]) ).
tcf(c_202150,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,iPr_def_17,iPr_def_19),
inference(demodulation,[status(thm)],[c_106957,c_201996]) ).
tcf(c_202155,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,iPr_def_18,v_N2____),
inference(backward_subsumption_resolution,[status(thm)],[c_198541,c_202148]) ).
tcf(c_202744,plain,
! [X0: $i] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_N2____,iPr_def_18),X0) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N2____,X0),iPr_def_18),
inference(superposition,[status(thm)],[c_202155,c_1112]) ).
tcf(c_202761,plain,
! [X0: $i] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,v_N1____) = X0,
inference(light_normalisation,[status(thm)],[c_202744,c_974,c_107101,c_127567]) ).
tcf(c_203083,plain,
v_N2____ = iPr_def_18,
inference(demodulation,[status(thm)],[c_106850,c_202761]) ).
tcf(c_203140,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,iPr_def_17,c_RealDef_Oreal(tc_Nat_Onat,iPr_def_18)),
inference(demodulation,[status(thm)],[c_107618,c_203083]) ).
tcf(c_203146,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,iPr_def_17,iPr_def_19),
inference(light_normalisation,[status(thm)],[c_203140,c_89165]) ).
tcf(c_203147,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_203146,c_202150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW226+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 21:48:34 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 63.56/16.37 % SZS status Started for theBenchmark.p
% 63.56/16.37 ERROR - "ProverProcess:heur/409474:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 63.56/16.37 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 63.56/16.37 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 4 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution false --res_forward_subs subset_subsumption --res_forward_subs_resolution true --res_lit_sel pos_max --res_lit_sel_side num_var --res_ordering kbo_pred --res_passive_queue_type priority_queues --res_passive_queues "[[-num_lits];[-conj_symb;-num_symb;+num_symb]]" --res_passive_queues_freq "[15;3]" --res_prop_simpl_given false --res_prop_simpl_new true --res_sim_input true --res_time_limit 202.80 --res_to_prop_solver passive --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.33" --time_out_real 1.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_go5meagu/czizouob 2>> /export/starexec/sandbox/tmp/iprover_out_go5meagu/czizouob_error
% 63.56/16.37 ERROR - "ProverProcess:heur/421498:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 63.56/16.37 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 63.56/16.37 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 8 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 512 --inst_dismatching true --inst_eager_unprocessed_to_passive false --inst_eq_res_simp true --inst_learning_factor 8 --inst_learning_loop_flag true --inst_learning_start 128 --inst_lit_activity_flag false --inst_lit_sel "[+sign;+prop]" --inst_lit_sel_side none --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[+num_symb;-age;-age];[+num_symb;+conj_non_prolific_symb]]" --inst_passive_queues_freq "[512;10]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew model --inst_solver_calls_frac 0.006221608720445637 --inst_solver_per_active 32768 --inst_sos_flag true --inst_sos_phase false --inst_sos_sth_lit_sel "[+non_prol_conj_symb;+sign;-depth;-prop]" --inst_start_prop_sim_after_learn 9 --inst_subs_given true --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.33" --time_out_real 1.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_go5meagu/xzwutqpd 2>> /export/starexec/sandbox/tmp/iprover_out_go5meagu/xzwutqpd_error
% 63.56/16.37 % SZS status Theorem for theBenchmark.p
% 63.56/16.37
% 63.56/16.37 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 63.56/16.37
% 63.56/16.37 % ------ iProver source info
% 63.56/16.37
% 63.56/16.37 % git: date: 2026-07-19 20:42:38 +0200
% 63.56/16.37 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 63.56/16.37 % git: non_committed_changes: false
% 63.56/16.37
% 63.56/16.37 % ------ Parsing...
% 63.56/16.37 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 63.56/16.37
% 63.56/16.37 % ------ Preprocessing... sup_sim: 239 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: 499 sf_s rm: 64 0s sf_e pe_s pe_e sup_sim: 2 sf_s rm: 64 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 64 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 64 0s sf_e pe_s pe_e %
% 63.56/16.37
% 63.56/16.37 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 63.56/16.37
% 63.56/16.37 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 63.56/16.37 % ------ Proving...
% 63.56/16.37 % ------ Problem Properties
% 63.56/16.37
% 63.56/16.37 %
% 63.56/16.37 % clauses 1269
% 63.56/16.37 % conjectures 0
% 63.56/16.37 % EPR 41
% 63.56/16.37 % Horn 1077
% 63.56/16.37 % unary 442
% 63.56/16.37 % binary 473
% 63.56/16.37 % lits 2554
% 63.56/16.37 % lits eq 721
% 63.56/16.37 % fd_pure 0
% 63.56/16.37 % fd_pseudo 0
% 63.56/16.37 % fd_cond 95
% 63.56/16.37 % fd_pseudo_cond 54
% 63.56/16.37 % AC symbols 0
% 63.56/16.37
% 63.56/16.37 % ------ Schedule dynamic 5 is on
% 63.56/16.37
% 63.56/16.37 % ------ no conjectures: strip conj schedule
% 63.56/16.37
% 63.56/16.37 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 63.56/16.37
% 63.56/16.37
% 63.56/16.37 % ------
% 63.56/16.37 % Current options:
% 63.56/16.37 % ------
% 63.56/16.37
% 63.56/16.37
% 63.56/16.37 %
% 63.56/16.37
% 63.56/16.37 % ------ Proving...
% 63.56/16.37 %
% 63.56/16.37
% 63.56/16.37 % SZS status Theorem for theBenchmark.p
% 63.56/16.37
% 63.56/16.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 63.56/16.37
% 63.56/16.37
%------------------------------------------------------------------------------