%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG337-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:19:49 AM UTC 2026
% Result : Unsatisfiable 12.66s 2.55s
% Output : Refutation 13.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 29
% Syntax : Number of formulae : 110 ( 92 unt; 0 def)
% Number of atoms : 128 ( 116 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 45 ( 27 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 6 con; 0-3 aty)
% Number of variables : 121 ( 121 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f182,axiom,
! [X0] :
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
| X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__inverse__left_0) ).
fof(f183,plain,
! [X0] :
( c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = X0 ),
inference(reorient_equations,[],[f182]) ).
fof(f211,axiom,
! [X0,X1] :
( c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__add__minus__iff_0) ).
fof(f212,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| X0 = X1 ),
inference(reorient_equations,[],[f211]) ).
fof(f400,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__zero__not__eq__one_0) ).
fof(f472,axiom,
! [X0] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__add__eq__0__iff_1) ).
fof(f473,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(reorient_equations,[],[f472]) ).
fof(f649,axiom,
! [X0] : ~ c_HOL_Oord__class_Oless(X0,X0,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_1) ).
fof(f783,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oplus__class_Oplus(X1,X2,X0),X0) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__add__cancel_0) ).
fof(f845,axiom,
! [X0] :
( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__abs__def_1) ).
fof(f1091,axiom,
! [X0,X1] :
( c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)) != X0
| X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__sum__squares__eq__cancel_0) ).
fof(f1092,plain,
! [X0,X1] :
( c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)) != X0
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = X1 ),
inference(reorient_equations,[],[f1091]) ).
fof(f1180,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__0__right_0) ).
fof(f1195,axiom,
! [X0] : c_Int_OBit0(X0) = c_HOL_Oplus__class_Oplus(X0,X0,tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Bit0__def_0) ).
fof(f1267,axiom,
! [X0,X1] : c_NthRoot_Osqrt(c_Power_Opower__class_Opower(X0,X1,tc_RealDef_Oreal)) = c_Power_Opower__class_Opower(c_NthRoot_Osqrt(X0),X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__power_0) ).
fof(f1272,axiom,
c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__zero_0) ).
fof(f1273,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(reorient_equations,[],[f1272]) ).
fof(f1308,axiom,
c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_realpow__two__sum__zero__iff_2) ).
fof(f1309,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(reorient_equations,[],[f1308]) ).
fof(f1314,axiom,
! [X0] : c_NthRoot_Osqrt(c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__abs_0) ).
fof(f1315,plain,
! [X0] : c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal)),
inference(reorient_equations,[],[f1314]) ).
fof(f1339,axiom,
! [X0,X1] : c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__divide__def_0) ).
fof(f1340,plain,
! [X0,X1] : c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),
inference(reorient_equations,[],[f1339]) ).
fof(f1348,axiom,
! [X0,X1] : c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__diff__def_0) ).
fof(f1349,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),
inference(reorient_equations,[],[f1348]) ).
fof(f1464,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I24_J_0) ).
fof(f1496,axiom,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X0,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__average__minus__first_0) ).
fof(f1499,axiom,
! [X0,X1] : c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__divide_0) ).
fof(f1540,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X0),X2,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__add__cancel_0) ).
fof(f1544,axiom,
! [X0,X1] : c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__commute_0) ).
fof(f1568,axiom,
! [X2,X3,X0,X1] :
( ~ class_RealVector_Oreal__normed__algebra(X0)
| c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left_Odiff_0) ).
fof(f1578,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X0),X2,X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__diff__cancel_0) ).
fof(f1581,axiom,
c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f1582,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(reorient_equations,[],[f1581]) ).
fof(f1583,axiom,
c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f1584,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(reorient_equations,[],[f1583]) ).
fof(f1585,negated_conjecture,
c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) != v_x____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1586,plain,
v_x____ != c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(reorient_equations,[],[f1585]) ).
fof(f1700,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1) ).
fof(f1701,axiom,
class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra) ).
fof(f1729,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) ).
fof(f1818,plain,
! [X0,X1] :
( c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(X1,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)) != X0
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = X1 ),
inference(definition_unfolding,[],[f1092,f1195,f1195]) ).
fof(f1875,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f1309,f1195,f1195]) ).
fof(f1878,plain,
! [X0] : c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal)),
inference(definition_unfolding,[],[f1315,f1195]) ).
fof(f1929,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X0,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f1496,f1195,f1195]) ).
fof(f1937,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(definition_unfolding,[],[f1582,f1195,f1195,f1195]) ).
fof(f1938,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(definition_unfolding,[],[f1584,f1195,f1195,f1195]) ).
fof(f1939,plain,
v_x____ != c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(definition_unfolding,[],[f1586,f1195,f1195,f1195,f1195]) ).
fof(f1963,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(X0,X0,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f473,f1349]) ).
fof(f1972,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal)
| X0 = X1 ),
inference(forward_demodulation,[],[f212,f1349]) ).
fof(f1973,plain,
! [X0] :
( c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X0,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = X0 ),
inference(forward_demodulation,[],[f183,f1544]) ).
fof(f1984,plain,
! [X0] :
( c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X0,X0,tc_RealDef_Oreal)
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = X0 ),
inference(forward_demodulation,[],[f1973,f1340]) ).
fof(f1999,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unit_resulting_resolution,[],[f845,f649]) ).
fof(f2006,plain,
! [X0] : c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal),
inference(superposition,[],[f1499,f1273]) ).
fof(f2011,plain,
! [X0] :
( c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(X0,X0,tc_RealDef_Oreal))
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_NthRoot_Osqrt(X0) ),
inference(superposition,[],[f1984,f1499]) ).
fof(f2109,plain,
! [X0] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = X0,
inference(unit_resulting_resolution,[],[f1180,f1729]) ).
fof(f2112,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X0,
inference(unit_resulting_resolution,[],[f1540,f1729]) ).
fof(f2113,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X0,
inference(unit_resulting_resolution,[],[f1578,f1729]) ).
fof(f2114,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = X0,
inference(superposition,[],[f2113,f1349]) ).
fof(f2138,plain,
! [X0] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = X0,
inference(superposition,[],[f2113,f2109]) ).
fof(f2212,plain,
! [X0] : c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal) = c_Power_Opower__class_Opower(c_NthRoot_Osqrt(X0),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),
inference(superposition,[],[f1267,f1878]) ).
fof(f2266,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),v_x____,tc_RealDef_Oreal),
inference(unit_resulting_resolution,[],[f1972,f1939]) ).
fof(f2272,plain,
! [X0] : c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),
inference(unit_resulting_resolution,[],[f1972,f2114]) ).
fof(f2279,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),v_x____,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f2266,f1937]) ).
fof(f2283,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),v_x____,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f2279,f1938]) ).
fof(f2375,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
inference(unit_resulting_resolution,[],[f783,f1729]) ).
fof(f2383,plain,
! [X0,X1] : c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Oplus__class_Oplus(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(superposition,[],[f2113,f2375]) ).
fof(f2505,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(X1,X0,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(superposition,[],[f2383,f2112]) ).
fof(f2701,plain,
! [X2,X0,X1] : c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unit_resulting_resolution,[],[f1568,f1701]) ).
fof(f2720,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(X1,X0,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),
inference(unit_resulting_resolution,[],[f1464,f1700]) ).
fof(f2755,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) = X1,
inference(superposition,[],[f2113,f2720]) ).
fof(f2756,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(X1,X0,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(superposition,[],[f1349,f2720]) ).
fof(f2810,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
inference(superposition,[],[f2755,f2112]) ).
fof(f3035,plain,
! [X2,X0,X1] : c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),
inference(superposition,[],[f2756,f2505]) ).
fof(f3083,plain,
! [X2,X0,X1] : c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(superposition,[],[f2701,f1340]) ).
fof(f3091,plain,
! [X0,X1] : c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(superposition,[],[f1963,f2701]) ).
fof(f3113,plain,
! [X1] : c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f3091,f1963]) ).
fof(f3117,plain,
! [X2,X0,X1] : c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X0,tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f3083,f1340]) ).
fof(f3125,plain,
! [X2,X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f3117,f1340]) ).
fof(f3144,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal),
inference(superposition,[],[f1340,f3113]) ).
fof(f5560,plain,
! [X0] : c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)) != X0,
inference(unit_resulting_resolution,[],[f1818,f2283]) ).
fof(f5566,plain,
! [X0] : c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)) != X0,
inference(forward_demodulation,[],[f5560,f3125]) ).
fof(f5569,plain,
! [X0] : c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(v_x____,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)) != X0,
inference(forward_demodulation,[],[f5566,f3035]) ).
fof(f5572,plain,
! [X0] : c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),v_x____,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(v_x____,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)) != X0,
inference(forward_demodulation,[],[f5569,f2720]) ).
fof(f5574,plain,
! [X0] : c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(v_x____,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(v_x____,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)) != X0,
inference(forward_demodulation,[],[f5572,f2720]) ).
fof(f5582,plain,
! [X0] : c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(v_x____,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(v_x____,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)) != X0,
inference(unit_resulting_resolution,[],[f1818,f5574]) ).
fof(f5594,plain,
! [X0] : c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(v_x____,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(v_x____,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) != X0,
inference(forward_demodulation,[],[f5582,f2212]) ).
fof(f6271,plain,
! [X0,X1] : c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X0,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
inference(superposition,[],[f2810,f1929]) ).
fof(f6289,plain,
! [X0,X1] : c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X0,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
inference(forward_demodulation,[],[f6271,f3125]) ).
fof(f6315,plain,
! [X0,X1] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X0,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
inference(forward_demodulation,[],[f6289,f3035]) ).
fof(f6334,plain,
! [X0,X1] : c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X0,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X1,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
inference(forward_demodulation,[],[f6315,f2720]) ).
fof(f6976,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(superposition,[],[f1929,f1875]) ).
fof(f6982,plain,
c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(superposition,[],[f2755,f1875]) ).
fof(f6983,plain,
c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f6982,f2272]) ).
fof(f6989,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f6976,f3144]) ).
fof(f6992,plain,
c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f6989,f2272]) ).
fof(f6993,plain,
c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f6992,f6983]) ).
fof(f6994,plain,
c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f6993,f1963]) ).
fof(f6995,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f6994,f3144]) ).
fof(f7031,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(v_x____,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(v_x____,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(v_x____,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(v_x____,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_x____,v_x____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_y____,v_y____,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(unit_resulting_resolution,[],[f2011,f5594]) ).
fof(f7050,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ominus__class_Ominus(v_x____,v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ominus__class_Ominus(v_x____,v_x____,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(forward_demodulation,[],[f7031,f6334]) ).
fof(f7067,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(forward_demodulation,[],[f7050,f1963]) ).
fof(f7084,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(forward_demodulation,[],[f7067,f1875]) ).
fof(f7101,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(forward_demodulation,[],[f7084,f2720]) ).
fof(f7118,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(forward_demodulation,[],[f7101,f6995]) ).
fof(f7135,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(forward_demodulation,[],[f7118,f2138]) ).
fof(f7152,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(forward_demodulation,[],[f7135,f1999]) ).
fof(f7164,plain,
c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f7152,f2006]) ).
fof(f7170,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
inference(forward_demodulation,[],[f7164,f3144]) ).
fof(f7175,plain,
$false,
inference(forward_subsumption_resolution,[],[f7170,f400]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG337-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n007.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 20:04:41 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.68/2.21 % (2753654)Input is clausal, will run a generic CNF schedule.
% 10.68/2.21 % (2753662)lrs+10_1_sil=8000:sp=occurrence:random_seed=1954223934:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.68/2.21 % (2753662)Instruction limit reached!
% 10.68/2.21 % (2753662)------------------------------
% 10.68/2.21 % (2753662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.21 % (2753662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.21 % (2753662)CaDiCaL version: 2.1.3
% 10.68/2.21 % (2753662)Termination reason: Instruction limit
% 10.68/2.21 % (2753662)Termination phase: Saturation
% 10.68/2.21 % (2753662)Time elapsed: 0.040 s
% 10.68/2.21 % (2753662)Peak memory usage: 90 MB
% 10.68/2.21 % (2753662)Instructions burned: 107 (million)
% 10.68/2.21 % (2753661)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2427987800:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.68/2.21 % (2753660)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3813610415:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.68/2.21 % (2753659)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=661054885:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.68/2.21 % (2753665)dis-21_1_sil=8000:lcm=predicate:random_seed=1904039435:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.68/2.21 % (2753663)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2614660333:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.68/2.21 % (2753664)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=299473835:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.68/2.21 % (2753665)Instruction limit reached!
% 10.68/2.21 % (2753665)------------------------------
% 10.68/2.21 % (2753665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.21 % (2753665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.21 % (2753665)CaDiCaL version: 2.1.3
% 10.68/2.21 % (2753665)Termination reason: Instruction limit
% 10.68/2.21 % (2753665)Termination phase: Saturation
% 10.68/2.21 % (2753665)Time elapsed: 0.057 s
% 10.68/2.21 % (2753665)Peak memory usage: 89 MB
% 10.68/2.21 % (2753665)Instructions burned: 118 (million)
% 10.68/2.21 % (2753663)Instruction limit reached!
% 10.68/2.21 % (2753663)------------------------------
% 10.68/2.21 % (2753663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.21 % (2753663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.21 % (2753663)CaDiCaL version: 2.1.3
% 10.68/2.21 % (2753663)Termination reason: Instruction limit
% 10.68/2.21 % (2753663)Termination phase: Saturation
% 10.68/2.21 % (2753663)Time elapsed: 0.071 s
% 10.68/2.21 % (2753663)Peak memory usage: 90 MB
% 10.68/2.21 % (2753663)Instructions burned: 115 (million)
% 10.68/2.21 % (2753664)Instruction limit reached!
% 10.68/2.21 % (2753664)------------------------------
% 10.68/2.21 % (2753664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.21 % (2753664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.21 % (2753664)CaDiCaL version: 2.1.3
% 10.68/2.21 % (2753664)Termination reason: Instruction limit
% 10.68/2.21 % (2753664)Termination phase: Saturation
% 10.68/2.21 % (2753664)Time elapsed: 0.111 s
% 10.68/2.21 % (2753664)Peak memory usage: 90 MB
% 10.68/2.21 % (2753664)Instructions burned: 180 (million)
% 10.68/2.21 % (2753673)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1970820245:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.68/2.21 % (2753673)Refutation not found, incomplete strategy
% 10.68/2.21 % (2753673)------------------------------
% 10.68/2.21 % (2753673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.21 % (2753673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.21 % (2753673)CaDiCaL version: 2.1.3
% 10.68/2.21 % (2753673)Termination reason: Refutation not found, incomplete strategy
% 10.68/2.21 % (2753673)Time elapsed: 0.006 s
% 10.68/2.21 % (2753673)Peak memory usage: 89 MB
% 10.68/2.21 % (2753673)Instructions burned: 16 (million)
% 10.68/2.21 % (2753675)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3050964449:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 12.66/2.55 % (2753674)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=606391937:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 12.66/2.55 % (2753673)------------------------------
% 12.66/2.55 % (2753673)------------------------------
% 12.66/2.55 % (2753677)lrs+10_64_to=lpo:sil=8000:random_seed=1495681030:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 12.66/2.55 % (2753674)Instruction limit reached!
% 12.66/2.55 % (2753674)------------------------------
% 12.66/2.55 % (2753674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.55 % (2753674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.55 % (2753674)CaDiCaL version: 2.1.3
% 12.66/2.55 % (2753674)Termination reason: Instruction limit
% 12.66/2.55 % (2753674)Termination phase: Saturation
% 12.66/2.55 % (2753674)Time elapsed: 0.098 s
% 12.66/2.55 % (2753674)Peak memory usage: 91 MB
% 12.66/2.55 % (2753674)Instructions burned: 189 (million)
% 12.66/2.55 % (2753675)Instruction limit reached!
% 12.66/2.55 % (2753675)------------------------------
% 12.66/2.55 % (2753675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.55 % (2753675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.55 % (2753675)CaDiCaL version: 2.1.3
% 12.66/2.55 % (2753675)Termination reason: Instruction limit
% 12.66/2.55 % (2753675)Termination phase: Saturation
% 12.66/2.55 % (2753675)Time elapsed: 0.120 s
% 12.66/2.55 % (2753675)Peak memory usage: 91 MB
% 12.66/2.55 % (2753675)Instructions burned: 220 (million)
% 12.66/2.55 % (2753677)Instruction limit reached!
% 12.66/2.55 % (2753677)------------------------------
% 12.66/2.55 % (2753677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.55 % (2753677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.55 % (2753677)CaDiCaL version: 2.1.3
% 12.66/2.55 % (2753677)Termination reason: Instruction limit
% 12.66/2.55 % (2753677)Termination phase: Saturation
% 12.66/2.55 % (2753677)Time elapsed: 0.072 s
% 12.66/2.55 % (2753677)Peak memory usage: 90 MB
% 12.66/2.55 % (2753677)Instructions burned: 126 (million)
% 12.66/2.55 % (2753680)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4158219327:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 12.66/2.55 % (2753682)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1225362481:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 12.66/2.55 % (2753680)Instruction limit reached!
% 12.66/2.55 % (2753680)------------------------------
% 12.66/2.55 % (2753680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.55 % (2753680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.55 % (2753680)CaDiCaL version: 2.1.3
% 12.66/2.55 % (2753680)Termination reason: Instruction limit
% 12.66/2.55 % (2753680)Termination phase: Saturation
% 12.66/2.55 % (2753680)Time elapsed: 0.063 s
% 12.66/2.55 % (2753680)Peak memory usage: 90 MB
% 12.66/2.55 % (2753680)Instructions burned: 194 (million)
% 12.66/2.55 % (2753683)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1382141192:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 12.66/2.55 % (2753684)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3537182474:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 12.66/2.55 % (2753682)Instruction limit reached!
% 12.66/2.55 % (2753682)------------------------------
% 12.66/2.55 % (2753682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.55 % (2753682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.55 % (2753682)CaDiCaL version: 2.1.3
% 12.66/2.55 % (2753682)Termination reason: Instruction limit
% 12.66/2.55 % (2753682)Termination phase: Saturation
% 12.66/2.55 % (2753682)Time elapsed: 0.089 s
% 12.66/2.55 % (2753682)Peak memory usage: 91 MB
% 12.66/2.55 % (2753682)Instructions burned: 159 (million)
% 12.66/2.55 % (2753684)Instruction limit reached!
% 12.66/2.55 % (2753684)------------------------------
% 12.66/2.55 % (2753684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.55 % (2753684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.55 % (2753684)CaDiCaL version: 2.1.3
% 12.66/2.55 % (2753684)Termination reason: Instruction limit
% 12.66/2.55 % (2753684)Termination phase: Saturation
% 12.66/2.55 % (2753684)Time elapsed: 0.058 s
% 12.66/2.55 % (2753684)Peak memory usage: 89 MB
% 12.66/2.55 % (2753684)Instructions burned: 106 (million)
% 12.66/2.55 % (2753687)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1969721284:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 12.66/2.55 % (2753687)Refutation not found, incomplete strategy
% 12.66/2.55 % (2753687)------------------------------
% 12.66/2.55 % (2753687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.55 % (2753687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.55 % (2753687)CaDiCaL version: 2.1.3
% 12.66/2.55 % (2753687)Termination reason: Refutation not found, incomplete strategy
% 12.66/2.55 % (2753687)Time elapsed: 0.022 s
% 12.66/2.55 % (2753687)Peak memory usage: 90 MB
% 12.66/2.55 % (2753687)Instructions burned: 70 (million)
% 12.66/2.55 % (2753690)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=159685807:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 12.66/2.55 % (2753691)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2229952942:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 12.66/2.55 % (2753687)------------------------------
% 12.66/2.55 % (2753687)------------------------------
% 12.66/2.55 % (2753690)Instruction limit reached!
% 12.66/2.55 % (2753690)------------------------------
% 12.66/2.55 % (2753690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.55 % (2753690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.55 % (2753690)CaDiCaL version: 2.1.3
% 12.66/2.55 % (2753690)Termination reason: Instruction limit
% 12.66/2.55 % (2753690)Termination phase: Saturation
% 12.66/2.55 % (2753690)Time elapsed: 0.133 s
% 12.66/2.55 % (2753690)Peak memory usage: 90 MB
% 12.66/2.55 % (2753690)Instructions burned: 242 (million)
% 12.66/2.55 % (2753695)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1102763314:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 12.66/2.55 % (2753695)Instruction limit reached!
% 12.66/2.55 % (2753695)------------------------------
% 12.66/2.55 % (2753695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.55 % (2753695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.55 % (2753695)CaDiCaL version: 2.1.3
% 12.66/2.55 % (2753695)Termination reason: Instruction limit
% 12.66/2.55 % (2753695)Termination phase: Saturation
% 12.66/2.55 % (2753695)Time elapsed: 0.050 s
% 12.66/2.55 % (2753695)Peak memory usage: 90 MB
% 12.66/2.55 % (2753695)Instructions burned: 135 (million)
% 12.66/2.55 % (2753696)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2099708990:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 12.66/2.55 % (2753698)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1541938405:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 12.66/2.55 % (2753698)Instruction limit reached!
% 12.66/2.55 % (2753698)------------------------------
% 12.66/2.55 % (2753698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.55 % (2753698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.55 % (2753698)CaDiCaL version: 2.1.3
% 12.66/2.55 % (2753698)Termination reason: Instruction limit
% 12.66/2.55 % (2753698)Termination phase: Saturation
% 12.66/2.55 % (2753698)Time elapsed: 0.060 s
% 12.66/2.55 % (2753698)Peak memory usage: 90 MB
% 12.66/2.55 % (2753698)Instructions burned: 193 (million)
% 12.66/2.55 % (2753701)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=181491707:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 12.66/2.55 % (2753696)Instruction limit reached!
% 12.66/2.55 % (2753696)------------------------------
% 12.66/2.55 % (2753696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.55 % (2753696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.55 % (2753696)CaDiCaL version: 2.1.3
% 12.66/2.55 % (2753696)Termination reason: Instruction limit
% 12.66/2.55 % (2753696)Termination phase: Saturation
% 12.66/2.55 % (2753696)Time elapsed: 0.300 s
% 12.66/2.55 % (2753696)Peak memory usage: 94 MB
% 12.66/2.55 % (2753696)Instructions burned: 500 (million)
% 12.66/2.55 % (2753701)Instruction limit reached!
% 12.66/2.55 % (2753701)------------------------------
% 12.66/2.55 % (2753701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.55 % (2753701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.55 % (2753701)CaDiCaL version: 2.1.3
% 12.66/2.55 % (2753701)Termination reason: Instruction limit
% 12.66/2.55 % (2753701)Termination phase: Saturation
% 12.66/2.55 % (2753701)Time elapsed: 0.088 s
% 12.66/2.55 % (2753701)Peak memory usage: 93 MB
% 12.66/2.55 % (2753701)Instructions burned: 266 (million)
% 12.66/2.55 % (2753660)First to succeed.
% 12.66/2.55 % (2753660)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2753654"
% 12.66/2.55 % (2753703)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3155416916:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 12.66/2.55 % (2753661)Also succeeded, but the first one will report.
% 12.66/2.55 % (2753704)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=2001650518:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 12.66/2.55 % (2753703)Instruction limit reached!
% 12.66/2.55 % (2753703)------------------------------
% 12.66/2.55 % (2753703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.55 % (2753703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.55 % (2753703)CaDiCaL version: 2.1.3
% 12.66/2.55 % (2753703)Termination reason: Instruction limit
% 12.66/2.55 % (2753703)Termination phase: Saturation
% 12.66/2.55 % (2753703)Time elapsed: 0.089 s
% 12.66/2.55 % (2753703)Peak memory usage: 90 MB
% 12.66/2.55 % (2753703)Instructions burned: 156 (million)
% 12.66/2.55 % (2753660)Refutation found. Thanks to Tanya!
% 12.66/2.55 % SZS status Unsatisfiable for theBenchmark
% 12.66/2.55 % SZS output start Proof for theBenchmark
% See solution above
% 13.47/2.75 % (2753660)------------------------------
% 13.47/2.75 % (2753660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.47/2.75 % (2753660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/2.75 % (2753660)CaDiCaL version: 2.1.3
% 13.47/2.75 % (2753660)Termination reason: Refutation
% 13.47/2.75 % (2753660)Time elapsed: 1.371 s
% 13.47/2.75 % (2753660)Peak memory usage: 143 MB
% 13.47/2.75 % (2753660)Instructions burned: 2193 (million)
% 13.47/2.75 % (2753660)------------------------------
% 13.47/2.75 % (2753660)------------------------------
% 13.47/2.75 % (2753654)Success in time 1.872 s
% 13.47/2.75 % Vampire exiting
%------------------------------------------------------------------------------