%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV620-1 : 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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:19:07 PM UTC 2026
% Result : Unsatisfiable 7.37s 1.98s
% Output : Refutation 9.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 33
% Syntax : Number of formulae : 155 ( 64 unt; 14 def)
% Number of atoms : 305 ( 19 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 270 ( 120 ~; 144 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 14 con; 0-3 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f135,axiom,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| c_lessequals(X0,X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_0) ).
fof(f370,axiom,
! [X2,X0,X1] :
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
| ~ class_Ring__and__Field_Oordered__field(X0)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__pos__neg_0) ).
fof(f376,axiom,
! [X2,X0,X1] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
| ~ class_Ring__and__Field_Oordered__field(X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__pos__pos_0) ).
fof(f437,axiom,
! [X0,X1] :
( ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
| X0 = X1
| ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__antisym_0) ).
fof(f505,axiom,
! [X2,X3,X0,X1] :
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X3,X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| ~ class_Ring__and__Field_Oordered__field(X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_3) ).
fof(f508,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__divide__iff_2) ).
fof(f509,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
| ~ class_Ring__and__Field_Odivision__by__zero(X0)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
| ~ class_Ring__and__Field_Oordered__field(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__divide__iff_1) ).
fof(f558,axiom,
! [X0,X1] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__order_0) ).
fof(f562,axiom,
! [X0] : ~ c_HOL_Oord__class_Oless(c_RealDef_Oreal(X0,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__real__of__nat__less__zero_0) ).
fof(f564,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pi__gt__zero_0) ).
fof(f565,axiom,
~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pi__not__less__zero_0) ).
fof(f795,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pi__half__gt__zero_0) ).
fof(f799,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real0_0) ).
fof(f809,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(f871,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_k,v_n,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f872,axiom,
c_HOL_Oord__class_Oless(v_k,v_n,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f874,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f969,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero) ).
fof(f977,axiom,
class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field) ).
fof(f1031,definition,
sF0 = c_RealDef_Oreal(v_k,tc_nat),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f1032,plain,
c_RealDef_Oreal(v_k,tc_nat) = sF0,
inference(reorient_equations,[],[f1031]) ).
fof(f1033,definition,
sF1 = c_Int_OBit1(c_Int_OPls),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f1034,plain,
c_Int_OBit1(c_Int_OPls) = sF1,
inference(reorient_equations,[],[f1033]) ).
fof(f1035,definition,
sF2 = c_Int_OBit0(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f1036,plain,
c_Int_OBit0(sF1) = sF2,
inference(reorient_equations,[],[f1035]) ).
fof(f1037,definition,
sF3 = c_Int_Onumber__class_Onumber__of(sF2,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f1038,plain,
c_Int_Onumber__class_Onumber__of(sF2,tc_RealDef_Oreal) = sF3,
inference(reorient_equations,[],[f1037]) ).
fof(f1039,definition,
sF4 = c_HOL_Otimes__class_Otimes(sF3,c_Transcendental_Opi,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f1040,plain,
c_HOL_Otimes__class_Otimes(sF3,c_Transcendental_Opi,tc_RealDef_Oreal) = sF4,
inference(reorient_equations,[],[f1039]) ).
fof(f1041,definition,
sF5 = c_HOL_Otimes__class_Otimes(sF0,sF4,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f1042,plain,
c_HOL_Otimes__class_Otimes(sF0,sF4,tc_RealDef_Oreal) = sF5,
inference(reorient_equations,[],[f1041]) ).
fof(f1043,definition,
sF6 = c_RealDef_Oreal(v_n,tc_nat),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f1044,plain,
c_RealDef_Oreal(v_n,tc_nat) = sF6,
inference(reorient_equations,[],[f1043]) ).
fof(f1045,definition,
sF7 = c_HOL_Oinverse__class_Odivide(sF5,sF6,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f1046,plain,
c_HOL_Oinverse__class_Odivide(sF5,sF6,tc_RealDef_Oreal) = sF7,
inference(reorient_equations,[],[f1045]) ).
fof(f1047,plain,
~ c_HOL_Oord__class_Oless(sF7,sF4,tc_RealDef_Oreal),
inference(definition_folding,[],[f874,f1040,f1038,f1036,f1034,f1046,f1044,f1042,f1040,f1038,f1036,f1034,f1032]) ).
fof(f1049,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f871,f872]) ).
fof(f1052,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(sF1),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(sF1),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(forward_demodulation,[],[f1049,f1034]) ).
fof(f1053,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(sF2,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(sF2,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(forward_demodulation,[],[f1052,f1036]) ).
fof(f1054,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(sF3,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(sF3,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(forward_demodulation,[],[f1053,f1038]) ).
fof(f1055,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),sF4,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),sF4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(forward_demodulation,[],[f1054,f1040]) ).
fof(f1056,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),sF4,tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),sF4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(forward_demodulation,[],[f1055,f1044]) ).
fof(f1057,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(sF0,sF4,tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),sF4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(forward_demodulation,[],[f1056,f1032]) ).
fof(f1058,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(sF5,sF6,tc_RealDef_Oreal),sF4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(forward_demodulation,[],[f1057,f1042]) ).
fof(f1059,plain,
( c_HOL_Oord__class_Oless(sF7,sF4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(forward_demodulation,[],[f1058,f1046]) ).
fof(f1060,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f1059,f1047]) ).
fof(f1061,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1060,f1044]) ).
fof(f1062,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(sF1),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1061,f1034]) ).
fof(f1063,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(sF2,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1062,f1036]) ).
fof(f1064,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(sF3,c_Transcendental_Opi,tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1063,f1038]) ).
fof(f1065,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(sF4,sF6,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1064,f1040]) ).
fof(f1075,definition,
( spl8_1
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF4,tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f1076,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF4,tc_RealDef_Oreal)
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f1077,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF4,tc_RealDef_Oreal)
| spl8_1 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f1087,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(superposition,[],[f799,f1044]) ).
fof(f1088,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(sF1),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1087,f1034]) ).
fof(f1093,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(sF2,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1088,f1036]) ).
fof(f1098,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(sF3,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1093,f1038]) ).
fof(f1103,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),sF4,tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1098,f1040]) ).
fof(f1108,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(sF0,sF4,tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1103,f1032]) ).
fof(f1113,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(sF5,sF6,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1108,f1042]) ).
fof(f1116,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF7,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1113,f1046]) ).
fof(f1195,definition,
( spl8_3
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF6,tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
fof(f1196,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF6,tc_RealDef_Oreal)
| spl8_3 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f1197,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF6,tc_RealDef_Oreal)
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f1199,definition,
( spl8_4
<=> c_HOL_Oord__class_Oless(sF6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
fof(f1200,plain,
( ~ c_HOL_Oord__class_Oless(sF6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl8_4 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f1206,plain,
( ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF6,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF4,tc_RealDef_Oreal) ),
inference(resolution,[],[f376,f1065]) ).
fof(f1279,definition,
( spl8_8
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF5,tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl8_8])],[avatar_definition]) ).
fof(f1280,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF5,tc_RealDef_Oreal)
| spl8_8 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f1281,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF5,tc_RealDef_Oreal)
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f1422,definition,
( spl8_11
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF3,tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl8_11])],[avatar_definition]) ).
fof(f1423,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF3,tc_RealDef_Oreal)
| ~ spl8_11 ),
inference(avatar_component_clause,[],[f1422]) ).
fof(f1424,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF3,tc_RealDef_Oreal)
| spl8_11 ),
inference(avatar_component_clause,[],[f1422]) ).
fof(f1493,plain,
! [X0] :
( c_HOL_Oord__class_Oless(sF7,X0,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(sF6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF6,tc_RealDef_Oreal) ),
inference(superposition,[],[f505,f1046]) ).
fof(f1504,definition,
( spl8_17
<=> c_HOL_Oord__class_Oless(sF7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(definition,[new_symbols(definition,[spl8_17])],[avatar_definition]) ).
fof(f1505,plain,
( ~ c_HOL_Oord__class_Oless(sF7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl8_17 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f1506,plain,
( c_HOL_Oord__class_Oless(sF7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl8_17 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f1515,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF3,tc_RealDef_Oreal) ),
inference(superposition,[],[f558,f1040]) ).
fof(f1542,plain,
( c_HOL_Oord__class_Oless(sF7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(sF6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF5,tc_RealDef_Oreal) ),
inference(superposition,[],[f370,f1046]) ).
fof(f1546,plain,
( ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(sF6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF5,tc_RealDef_Oreal)
| spl8_17 ),
inference(forward_subsumption_resolution,[],[f1542,f1505]) ).
fof(f1547,plain,
( ~ c_HOL_Oord__class_Oless(sF6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF5,tc_RealDef_Oreal)
| spl8_17 ),
inference(forward_subsumption_resolution,[],[f1546,f977]) ).
fof(f1548,plain,
( ~ c_HOL_Oord__class_Oless(sF6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl8_8
| spl8_17 ),
inference(forward_subsumption_resolution,[],[f1547,f1281]) ).
fof(f1549,plain,
( ~ spl8_4
| ~ spl8_8
| spl8_17 ),
inference(avatar_split_clause,[],[f1548,f1504,f1279,f1199]) ).
fof(f1587,plain,
( ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[],[f795,f508]) ).
fof(f1590,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f1587,f969]) ).
fof(f1592,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f1590,f565]) ).
fof(f1593,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f1592,f977]) ).
fof(f1594,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(sF1),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1593,f1034]) ).
fof(f1595,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(sF2,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1594,f1036]) ).
fof(f1596,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF3,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1595,f1038]) ).
fof(f1597,plain,
( $false
| spl8_11 ),
inference(forward_subsumption_resolution,[],[f1596,f1424]) ).
fof(f1598,plain,
spl8_11,
inference(avatar_contradiction_clause,[],[f1597]) ).
fof(f1612,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF3,tc_RealDef_Oreal)
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f1515,f1077]) ).
fof(f1617,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF3,tc_RealDef_Oreal)
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f1612,f564]) ).
fof(f1618,plain,
( $false
| spl8_1
| ~ spl8_11 ),
inference(forward_subsumption_resolution,[],[f1617,f1423]) ).
fof(f1619,plain,
( spl8_1
| ~ spl8_11 ),
inference(avatar_contradiction_clause,[],[f1618]) ).
fof(f1620,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF6,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF4,tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f1206,f977]) ).
fof(f1624,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF4,tc_RealDef_Oreal)
| ~ spl8_3 ),
inference(forward_subsumption_resolution,[],[f1620,f1197]) ).
fof(f1626,plain,
( $false
| ~ spl8_1
| ~ spl8_3 ),
inference(forward_subsumption_resolution,[],[f1624,f1076]) ).
fof(f1627,plain,
( ~ spl8_1
| ~ spl8_3 ),
inference(avatar_contradiction_clause,[],[f1626]) ).
fof(f1632,plain,
! [X0] :
( c_HOL_Oord__class_Oless(sF7,X0,tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(sF6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF6,tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f1493,f969]) ).
fof(f1638,plain,
! [X0] :
( c_HOL_Oord__class_Oless(sF7,X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(sF6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF6,tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f1632,f977]) ).
fof(f1642,plain,
( ! [X0] :
( c_HOL_Oord__class_Oless(sF7,X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF6,tc_RealDef_Oreal) )
| spl8_4 ),
inference(forward_subsumption_resolution,[],[f1638,f1200]) ).
fof(f1646,plain,
( ! [X0] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(sF7,X0,tc_RealDef_Oreal) )
| spl8_3
| spl8_4 ),
inference(forward_subsumption_resolution,[],[f1642,f1196]) ).
fof(f1665,plain,
( c_HOL_Oord__class_Oless(sF7,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl8_3
| spl8_4 ),
inference(resolution,[],[f1646,f799]) ).
fof(f1682,plain,
( c_HOL_Oord__class_Oless(sF7,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl8_3
| spl8_4 ),
inference(forward_demodulation,[],[f1665,f1044]) ).
fof(f1684,plain,
( c_HOL_Oord__class_Oless(sF7,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(sF1),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl8_3
| spl8_4 ),
inference(forward_demodulation,[],[f1682,f1034]) ).
fof(f1686,plain,
( c_HOL_Oord__class_Oless(sF7,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(sF2,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl8_3
| spl8_4 ),
inference(forward_demodulation,[],[f1684,f1036]) ).
fof(f1687,plain,
( c_HOL_Oord__class_Oless(sF7,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(sF3,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl8_3
| spl8_4 ),
inference(forward_demodulation,[],[f1686,f1038]) ).
fof(f1688,plain,
( c_HOL_Oord__class_Oless(sF7,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),sF4,tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl8_3
| spl8_4 ),
inference(forward_demodulation,[],[f1687,f1040]) ).
fof(f1689,plain,
( c_HOL_Oord__class_Oless(sF7,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(sF0,sF4,tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl8_3
| spl8_4 ),
inference(forward_demodulation,[],[f1688,f1032]) ).
fof(f1690,plain,
( c_HOL_Oord__class_Oless(sF7,c_HOL_Oinverse__class_Odivide(sF5,sF6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| spl8_3
| spl8_4 ),
inference(forward_demodulation,[],[f1689,f1042]) ).
fof(f1691,plain,
( c_HOL_Oord__class_Oless(sF7,sF7,tc_RealDef_Oreal)
| spl8_3
| spl8_4 ),
inference(forward_demodulation,[],[f1690,f1046]) ).
fof(f1692,plain,
( $false
| spl8_3
| spl8_4 ),
inference(forward_subsumption_resolution,[],[f1691,f809]) ).
fof(f1693,plain,
( spl8_3
| spl8_4 ),
inference(avatar_contradiction_clause,[],[f1692]) ).
fof(f1852,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF7,tc_RealDef_Oreal),
inference(resolution,[],[f135,f1116]) ).
fof(f1926,plain,
( ~ class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealDef_Oreal(v_n,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(resolution,[],[f509,f799]) ).
fof(f1942,plain,
( c_HOL_Oord__class_Oless(c_RealDef_Oreal(v_n,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f1926,f969]) ).
fof(f1944,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f1942,f562]) ).
fof(f1945,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f1944,f977]) ).
fof(f1946,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(sF1),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1945,f1034]) ).
fof(f1947,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(sF2,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1946,f1036]) ).
fof(f1948,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(sF3,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1947,f1038]) ).
fof(f1949,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),sF4,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1948,f1040]) ).
fof(f1950,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(sF0,sF4,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1949,f1032]) ).
fof(f1951,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),sF5,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1950,f1042]) ).
fof(f1952,plain,
( $false
| spl8_8 ),
inference(forward_subsumption_resolution,[],[f1951,f1280]) ).
fof(f1953,plain,
spl8_8,
inference(avatar_contradiction_clause,[],[f1952]) ).
fof(f1955,plain,
( c_lessequals(sF7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl8_17 ),
inference(resolution,[],[f1506,f135]) ).
fof(f1958,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = sF7
| ~ c_lessequals(sF7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolution,[],[f437,f1852]) ).
fof(f1959,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = sF7
| ~ spl8_17 ),
inference(forward_subsumption_resolution,[],[f1958,f1955]) ).
fof(f1979,plain,
( c_HOL_Oord__class_Oless(sF7,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl8_17 ),
inference(superposition,[],[f799,f1959]) ).
fof(f2012,plain,
( c_HOL_Oord__class_Oless(sF7,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl8_17 ),
inference(forward_demodulation,[],[f1979,f1044]) ).
fof(f2018,plain,
( c_HOL_Oord__class_Oless(sF7,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(sF1),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl8_17 ),
inference(forward_demodulation,[],[f2012,f1034]) ).
fof(f2020,plain,
( c_HOL_Oord__class_Oless(sF7,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(sF2,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl8_17 ),
inference(forward_demodulation,[],[f2018,f1036]) ).
fof(f2022,plain,
( c_HOL_Oord__class_Oless(sF7,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),c_HOL_Otimes__class_Otimes(sF3,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl8_17 ),
inference(forward_demodulation,[],[f2020,f1038]) ).
fof(f2023,plain,
( c_HOL_Oord__class_Oless(sF7,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(v_k,tc_nat),sF4,tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl8_17 ),
inference(forward_demodulation,[],[f2022,f1040]) ).
fof(f2024,plain,
( c_HOL_Oord__class_Oless(sF7,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(sF0,sF4,tc_RealDef_Oreal),sF6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl8_17 ),
inference(forward_demodulation,[],[f2023,f1032]) ).
fof(f2025,plain,
( c_HOL_Oord__class_Oless(sF7,c_HOL_Oinverse__class_Odivide(sF5,sF6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ spl8_17 ),
inference(forward_demodulation,[],[f2024,f1042]) ).
fof(f2026,plain,
( c_HOL_Oord__class_Oless(sF7,sF7,tc_RealDef_Oreal)
| ~ spl8_17 ),
inference(forward_demodulation,[],[f2025,f1046]) ).
fof(f2027,plain,
( $false
| ~ spl8_17 ),
inference(forward_subsumption_resolution,[],[f2026,f809]) ).
fof(f2028,plain,
~ spl8_17,
inference(avatar_contradiction_clause,[],[f2027]) ).
cnf(s13,plain,
( ~ spl8_4
| ~ spl8_8
| spl8_17 ),
inference(sat_conversion,[],[f1549]) ).
cnf(s14,plain,
spl8_11,
inference(sat_conversion,[],[f1598]) ).
cnf(s15,plain,
( spl8_1
| ~ spl8_11 ),
inference(sat_conversion,[],[f1619]) ).
cnf(s16,plain,
( ~ spl8_1
| ~ spl8_3 ),
inference(sat_conversion,[],[f1627]) ).
cnf(s22,plain,
( spl8_3
| spl8_4 ),
inference(sat_conversion,[],[f1693]) ).
cnf(s24,plain,
spl8_8,
inference(sat_conversion,[],[f1953]) ).
cnf(s30,plain,
~ spl8_17,
inference(sat_conversion,[],[f2028]) ).
cnf(s31,plain,
spl8_1,
inference(rat,[],[s15,s14]) ).
cnf(s32,plain,
~ spl8_3,
inference(rat,[],[s16,s31]) ).
cnf(s33,plain,
spl8_4,
inference(rat,[],[s22,s32]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s13,s30,s24,s33]) ).
fof(f2029,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV620-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n013.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 12:03:22 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 7.37/1.97 % (1132463)Input is clausal, will run a generic CNF schedule.
% 7.37/1.97 % (1132474)dis-21_1_sil=8000:lcm=predicate:random_seed=2185321761: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)
% 7.37/1.97 % (1132474)Instruction limit reached!
% 7.37/1.97 % (1132474)------------------------------
% 7.37/1.97 % (1132474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.97 % (1132474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.97 % (1132474)CaDiCaL version: 2.1.3
% 7.37/1.97 % (1132474)Termination reason: Instruction limit
% 7.37/1.97 % (1132474)Termination phase: Saturation
% 7.37/1.97 % (1132474)Time elapsed: 0.035 s
% 7.37/1.97 % (1132474)Peak memory usage: 89 MB
% 7.37/1.97 % (1132474)Instructions burned: 117 (million)
% 7.37/1.97 % (1132468)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=2056570284:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.37/1.97 % (1132469)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3795423079:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.37/1.97 % (1132473)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1175955717:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.37/1.97 % (1132471)lrs+10_1_sil=8000:sp=occurrence:random_seed=3541947857:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.37/1.97 % (1132470)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=946702236:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.37/1.97 % (1132472)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2642632600:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.37/1.97 % (1132471)Instruction limit reached!
% 7.37/1.97 % (1132471)------------------------------
% 7.37/1.97 % (1132471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.97 % (1132471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.97 % (1132471)CaDiCaL version: 2.1.3
% 7.37/1.97 % (1132471)Termination reason: Instruction limit
% 7.37/1.97 % (1132471)Termination phase: Saturation
% 7.37/1.97 % (1132471)Time elapsed: 0.071 s
% 7.37/1.97 % (1132471)Peak memory usage: 90 MB
% 7.37/1.97 % (1132471)Instructions burned: 108 (million)
% 7.37/1.97 % (1132472)Instruction limit reached!
% 7.37/1.97 % (1132472)------------------------------
% 7.37/1.97 % (1132472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.97 % (1132472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.97 % (1132472)CaDiCaL version: 2.1.3
% 7.37/1.97 % (1132472)Termination reason: Instruction limit
% 7.37/1.97 % (1132472)Termination phase: Saturation
% 7.37/1.97 % (1132472)Time elapsed: 0.071 s
% 7.37/1.97 % (1132472)Peak memory usage: 89 MB
% 7.37/1.97 % (1132472)Instructions burned: 114 (million)
% 7.37/1.97 % (1132481)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=533375362:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.37/1.97 % (1132481)Refutation not found, incomplete strategy
% 7.37/1.97 % (1132481)------------------------------
% 7.37/1.97 % (1132481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.97 % (1132481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.97 % (1132481)CaDiCaL version: 2.1.3
% 7.37/1.97 % (1132481)Termination reason: Refutation not found, incomplete strategy
% 7.37/1.97 % (1132481)Time elapsed: 0.007 s
% 7.37/1.97 % (1132481)Peak memory usage: 89 MB
% 7.37/1.97 % (1132481)Instructions burned: 21 (million)
% 7.37/1.97 % (1132473)Instruction limit reached!
% 7.37/1.97 % (1132473)------------------------------
% 7.37/1.97 % (1132473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.97 % (1132473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.97 % (1132473)CaDiCaL version: 2.1.3
% 7.37/1.97 % (1132473)Termination reason: Instruction limit
% 7.37/1.97 % (1132473)Termination phase: Saturation
% 7.37/1.97 % (1132473)Time elapsed: 0.115 s
% 7.37/1.97 % (1132473)Peak memory usage: 90 MB
% 7.37/1.97 % (1132473)Instructions burned: 180 (million)
% 7.37/1.97 % (1132483)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1295596793: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)
% 7.37/1.98 % (1132485)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3700994746:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.37/1.98 % (1132481)------------------------------
% 7.37/1.98 % (1132481)------------------------------
% 7.37/1.98 % (1132486)lrs+10_64_to=lpo:sil=8000:random_seed=4085594171:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.37/1.98 % (1132483)Instruction limit reached!
% 7.37/1.98 % (1132483)------------------------------
% 7.37/1.98 % (1132483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.98 % (1132483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.98 % (1132483)CaDiCaL version: 2.1.3
% 7.37/1.98 % (1132483)Termination reason: Instruction limit
% 7.37/1.98 % (1132483)Termination phase: Saturation
% 7.37/1.98 % (1132483)Time elapsed: 0.096 s
% 7.37/1.98 % (1132483)Peak memory usage: 91 MB
% 7.37/1.98 % (1132483)Instructions burned: 189 (million)
% 7.37/1.98 % (1132485)Instruction limit reached!
% 7.37/1.98 % (1132485)------------------------------
% 7.37/1.98 % (1132485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.98 % (1132485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.98 % (1132485)CaDiCaL version: 2.1.3
% 7.37/1.98 % (1132485)Termination reason: Instruction limit
% 7.37/1.98 % (1132485)Termination phase: Saturation
% 7.37/1.98 % (1132485)Time elapsed: 0.123 s
% 7.37/1.98 % (1132485)Peak memory usage: 90 MB
% 7.37/1.98 % (1132485)Instructions burned: 220 (million)
% 7.37/1.98 % (1132486)Instruction limit reached!
% 7.37/1.98 % (1132486)------------------------------
% 7.37/1.98 % (1132486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.98 % (1132486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.98 % (1132486)CaDiCaL version: 2.1.3
% 7.37/1.98 % (1132486)Termination reason: Instruction limit
% 7.37/1.98 % (1132486)Termination phase: Saturation
% 7.37/1.98 % (1132486)Time elapsed: 0.077 s
% 7.37/1.98 % (1132486)Peak memory usage: 90 MB
% 7.37/1.98 % (1132486)Instructions burned: 127 (million)
% 7.37/1.98 % (1132489)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3878470010:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.37/1.98 % (1132489)Instruction limit reached!
% 7.37/1.98 % (1132489)------------------------------
% 7.37/1.98 % (1132489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.98 % (1132489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.98 % (1132489)CaDiCaL version: 2.1.3
% 7.37/1.98 % (1132489)Termination reason: Instruction limit
% 7.37/1.98 % (1132489)Termination phase: Saturation
% 7.37/1.98 % (1132489)Time elapsed: 0.064 s
% 7.37/1.98 % (1132489)Peak memory usage: 91 MB
% 7.37/1.98 % (1132489)Instructions burned: 195 (million)
% 7.37/1.98 % (1132491)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2235255363:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.37/1.98 % (1132493)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2606937473:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.37/1.98 % (1132494)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=1731164975:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 7.37/1.98 % (1132495)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=962573443:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 7.37/1.98 % (1132494)Instruction limit reached!
% 7.37/1.98 % (1132494)------------------------------
% 7.37/1.98 % (1132494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.98 % (1132494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.98 % (1132494)CaDiCaL version: 2.1.3
% 7.37/1.98 % (1132494)Termination reason: Instruction limit
% 7.37/1.98 % (1132494)Termination phase: Saturation
% 7.37/1.98 % (1132494)Time elapsed: 0.046 s
% 7.37/1.98 % (1132494)Peak memory usage: 89 MB
% 7.37/1.98 % (1132494)Instructions burned: 107 (million)
% 7.37/1.98 % (1132495)Instruction limit reached!
% 7.37/1.98 % (1132495)------------------------------
% 7.37/1.98 % (1132495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.98 % (1132495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.98 % (1132495)CaDiCaL version: 2.1.3
% 7.37/1.98 % (1132495)Termination reason: Instruction limit
% 7.37/1.98 % (1132495)Termination phase: Saturation
% 7.37/1.98 % (1132495)Time elapsed: 0.033 s
% 7.37/1.98 % (1132495)Peak memory usage: 90 MB
% 7.37/1.98 % (1132495)Instructions burned: 110 (million)
% 7.37/1.98 % (1132491)Instruction limit reached!
% 7.37/1.98 % (1132491)------------------------------
% 7.37/1.98 % (1132491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.98 % (1132491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.98 % (1132491)CaDiCaL version: 2.1.3
% 7.37/1.98 % (1132491)Termination reason: Instruction limit
% 7.37/1.98 % (1132491)Termination phase: Saturation
% 7.37/1.98 % (1132491)Time elapsed: 0.098 s
% 7.37/1.98 % (1132491)Peak memory usage: 91 MB
% 7.37/1.98 % (1132491)Instructions burned: 157 (million)
% 7.37/1.98 % (1132501)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2649054548:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 7.37/1.98 % (1132500)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3060652996:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 7.37/1.98 % (1132502)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4131140321:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 7.37/1.98 % (1132502)Instruction limit reached!
% 7.37/1.98 % (1132502)------------------------------
% 7.37/1.98 % (1132502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.98 % (1132502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.98 % (1132502)CaDiCaL version: 2.1.3
% 7.37/1.98 % (1132502)Termination reason: Instruction limit
% 7.37/1.98 % (1132502)Termination phase: Saturation
% 7.37/1.98 % (1132502)Time elapsed: 0.082 s
% 7.37/1.98 % (1132502)Peak memory usage: 90 MB
% 7.37/1.98 % (1132502)Instructions burned: 134 (million)
% 7.37/1.98 % (1132500)Instruction limit reached!
% 7.37/1.98 % (1132500)------------------------------
% 7.37/1.98 % (1132500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.98 % (1132500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.98 % (1132500)CaDiCaL version: 2.1.3
% 7.37/1.98 % (1132500)Termination reason: Instruction limit
% 7.37/1.98 % (1132500)Termination phase: Saturation
% 7.37/1.98 % (1132500)Time elapsed: 0.142 s
% 7.37/1.98 % (1132500)Peak memory usage: 90 MB
% 7.37/1.98 % (1132500)Instructions burned: 243 (million)
% 7.37/1.98 % (1132468)First to succeed.
% 7.37/1.98 % (1132468)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1132463"
% 7.37/1.98 % (1132506)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3417542827:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 7.37/1.98 % (1132507)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=903781000:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 7.37/1.98 % (1132507)Instruction limit reached!
% 7.37/1.98 % (1132507)------------------------------
% 7.37/1.98 % (1132507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.98 % (1132507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.98 % (1132507)CaDiCaL version: 2.1.3
% 7.37/1.98 % (1132507)Termination reason: Instruction limit
% 7.37/1.98 % (1132507)Termination phase: Saturation
% 7.37/1.98 % (1132507)Time elapsed: 0.120 s
% 7.37/1.98 % (1132507)Peak memory usage: 91 MB
% 7.37/1.98 % (1132507)Instructions burned: 192 (million)
% 7.37/1.98 % (1132468)Refutation found. Thanks to Tanya!
% 7.37/1.98 % SZS status Unsatisfiable for theBenchmark
% 7.37/1.98 % SZS output start Proof for theBenchmark
% See solution above
% 9.56/2.09 % (1132468)------------------------------
% 9.56/2.09 % (1132468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.09 % (1132468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.09 % (1132468)CaDiCaL version: 2.1.3
% 9.56/2.09 % (1132468)Termination reason: Refutation
% 9.56/2.09 % (1132468)Time elapsed: 0.868 s
% 9.56/2.09 % (1132468)Peak memory usage: 138 MB
% 9.56/2.09 % (1132468)Instructions burned: 1336 (million)
% 9.56/2.09 % (1132468)------------------------------
% 9.56/2.09 % (1132468)------------------------------
% 9.56/2.09 % (1132463)Success in time 1.307 s
% 9.56/2.09 % Vampire exiting
%------------------------------------------------------------------------------