TSTP Solution File: SWV611-1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SWV611-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 09:59:07 EDT 2024
% Result : Unsatisfiable 0.43s 0.72s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 29
% Syntax : Number of clauses : 100 ( 49 unt; 10 nHn; 80 RR)
% Number of literals : 190 ( 57 equ; 101 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 103 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_mult__numeral__1__right_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X1) = X2
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_mult__numeral__1__right_0) ).
cnf(cls_real__mult__commute_0,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_real__mult__commute_0) ).
cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',clsarity_RealDef__Oreal__Int_Onumber__ring) ).
cnf(cls_mult__2__right_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1) = c_HOL_Oplus__class_Oplus(X2,X2,X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_mult__2__right_0) ).
cnf(cls_real__le__antisym_0,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_real__le__antisym_0) ).
cnf(cls_pi__half__neq__two_0,axiom,
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) != c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_pi__half__neq__two_0) ).
cnf(cls_real__add__minus__iff_0,axiom,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_real__add__minus__iff_0) ).
cnf(cls_pi__half__le__two_0,axiom,
c_lessequals(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),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/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_pi__half__le__two_0) ).
cnf(cls_real__less__def_0,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_real__less__def_0) ).
cnf(cls_real__diff__def_0,axiom,
c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_real__diff__def_0) ).
cnf(cls_eq__diff__eq_H_1,axiom,
X1 = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_eq__diff__eq_H_1) ).
cnf(cls_conjecture_0,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/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_conjecture_0) ).
cnf(cls_real__less__def_2,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| X1 = X2
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_real__less__def_2) ).
cnf(cls_divide__Numeral1_0,axiom,
( c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X1) = X2
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_divide__Numeral1_0) ).
cnf(cls_CHAINED_0,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/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_CHAINED_0) ).
cnf(cls_eq__divide__2__times__iff_1,axiom,
( X1 = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X3,tc_RealDef_Oreal),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),X1,tc_RealDef_Oreal) != c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_eq__divide__2__times__iff_1) ).
cnf(cls_pi__ge__two_0,axiom,
c_lessequals(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_pi__ge__two_0) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom,
class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',clsarity_RealDef__Oreal__Ring__and__Field_Ofield) ).
cnf(cls_CHAINED_0_01,axiom,
c_HOL_Oord__class_Oless(v_k,v_n,tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_CHAINED_0_01) ).
cnf(cls_divide__pos__pos_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_divide__pos__pos_0) ).
cnf(cls_not__real__square__gt__zero_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_not__real__square__gt__zero_0) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom,
class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field) ).
cnf(cls_real__mult__order_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_real__mult__order_0) ).
cnf(cls_half__gt__zero__iff_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_half__gt__zero__iff_0) ).
cnf(cls_pi__gt__zero_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_pi__gt__zero_0) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero) ).
cnf(cls_zero__less__divide__iff_3,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_zero__less__divide__iff_3) ).
cnf(cls_real0_0,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/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_real0_0) ).
cnf(cls_not__real__of__nat__less__zero_0,axiom,
~ c_HOL_Oord__class_Oless(c_RealDef_Oreal(X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p',cls_not__real__of__nat__less__zero_0) ).
cnf(c_0_29,plain,
( c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X1) = X2
| ~ class_Int_Onumber__ring(X1) ),
inference(fof_simplification,[status(thm)],[cls_mult__numeral__1__right_0]) ).
cnf(c_0_30,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
cls_real__mult__commute_0 ).
cnf(c_0_31,plain,
( c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X1) = X2
| ~ class_Int_Onumber__ring(X1) ),
c_0_29 ).
cnf(c_0_32,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Int_Onumber__ring ).
cnf(c_0_33,plain,
( c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1) = c_HOL_Oplus__class_Oplus(X2,X2,X1)
| ~ class_Int_Onumber__ring(X1) ),
inference(fof_simplification,[status(thm)],[cls_mult__2__right_0]) ).
cnf(c_0_34,plain,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_real__le__antisym_0]) ).
cnf(c_0_35,plain,
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) != c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),
inference(fof_simplification,[status(thm)],[cls_pi__half__neq__two_0]) ).
cnf(c_0_36,plain,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_real__add__minus__iff_0]) ).
cnf(c_0_37,plain,
c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_38,plain,
( c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1) = c_HOL_Oplus__class_Oplus(X2,X2,X1)
| ~ class_Int_Onumber__ring(X1) ),
c_0_33 ).
cnf(c_0_39,plain,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
c_0_34 ).
cnf(c_0_40,axiom,
c_lessequals(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),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_pi__half__le__two_0 ).
cnf(c_0_41,plain,
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) != c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),
c_0_35 ).
cnf(c_0_42,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_real__less__def_0]) ).
cnf(c_0_43,plain,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_36 ).
cnf(c_0_44,axiom,
c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_real__diff__def_0 ).
cnf(c_0_45,axiom,
X1 = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),
cls_eq__diff__eq_H_1 ).
cnf(c_0_46,plain,
c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_32])]) ).
cnf(c_0_47,plain,
~ c_lessequals(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),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),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_48,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
c_0_42 ).
cnf(c_0_49,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,plain,
c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,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),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_52,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| X1 = X2
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_real__less__def_2]) ).
cnf(c_0_53,plain,
~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),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),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,plain,
( c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal)
| c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,plain,
( c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X1) = X2
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Int_Onumber__ring(X1) ),
inference(fof_simplification,[status(thm)],[cls_divide__Numeral1_0]) ).
cnf(c_0_56,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)
| ~ c_HOL_Oord__class_Oless(v_k,v_n,tc_nat) ),
inference(fof_simplification,[status(thm)],[cls_CHAINED_0]) ).
cnf(c_0_57,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),
c_0_51 ).
cnf(c_0_58,plain,
( X1 = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X3,tc_RealDef_Oreal),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),X1,tc_RealDef_Oreal) != c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_eq__divide__2__times__iff_1]) ).
cnf(c_0_59,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| X1 = X2
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
c_0_52 ).
cnf(c_0_60,axiom,
c_lessequals(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
cls_pi__ge__two_0 ).
cnf(c_0_61,plain,
( c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,plain,
( c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X1) = X2
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Int_Onumber__ring(X1) ),
c_0_55 ).
cnf(c_0_63,axiom,
class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Ofield ).
cnf(c_0_64,plain,
( c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal),tc_RealDef_Oreal) != c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal)
| c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(spm,[status(thm)],[c_0_41,c_0_54]) ).
cnf(c_0_65,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)
| ~ c_HOL_Oord__class_Oless(v_k,v_n,tc_nat) ),
c_0_56 ).
cnf(c_0_66,axiom,
c_HOL_Oord__class_Oless(v_k,v_n,tc_nat),
cls_CHAINED_0_01 ).
cnf(c_0_67,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_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),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(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),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_30]),c_0_30]) ).
cnf(c_0_68,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(fof_simplification,[status(thm)],[cls_divide__pos__pos_0]) ).
cnf(c_0_69,plain,
( X1 = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X3,tc_RealDef_Oreal),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),X1,tc_RealDef_Oreal) != c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal) ),
c_0_58 ).
cnf(c_0_70,plain,
c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
inference(spm,[status(thm)],[c_0_30,c_0_37]) ).
cnf(c_0_71,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_not__real__square__gt__zero_0 ).
cnf(c_0_72,plain,
( c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal) = c_Transcendental_Opi
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_73,plain,
( c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_32])]) ).
cnf(c_0_74,plain,
( c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal) != c_Transcendental_Opi ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_62]),c_0_63]),c_0_32])]) ).
cnf(c_0_75,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_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_30]),c_0_30]),c_0_66]),c_0_30])]),c_0_67]) ).
cnf(c_0_76,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
c_0_68 ).
cnf(c_0_77,axiom,
class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field ).
cnf(c_0_78,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_real__mult__order_0]) ).
cnf(c_0_79,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_half__gt__zero__iff_0]) ).
cnf(c_0_80,plain,
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),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) = X1,
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_62]),c_0_70]),c_0_63]),c_0_32])])]) ).
cnf(c_0_81,plain,
( c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(spm,[status(thm)],[c_0_71,c_0_37]) ).
cnf(c_0_82,plain,
c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_54]),c_0_73]),c_0_74]) ).
cnf(c_0_83,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(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)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77])]) ).
cnf(c_0_84,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
c_0_78 ).
cnf(c_0_85,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
cls_pi__gt__zero_0 ).
cnf(c_0_86,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1) ),
c_0_79 ).
cnf(c_0_87,plain,
c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),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_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_80,c_0_70]) ).
cnf(c_0_88,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero ).
cnf(c_0_89,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(sr,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_90,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_zero__less__divide__iff_3]) ).
cnf(c_0_91,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),
cls_real0_0 ).
cnf(c_0_92,plain,
~ c_HOL_Oord__class_Oless(c_RealDef_Oreal(X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(fof_simplification,[status(thm)],[cls_not__real__of__nat__less__zero_0]) ).
cnf(c_0_93,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)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85])]) ).
cnf(c_0_94,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),c_0_77]),c_0_32]),c_0_89])]) ).
cnf(c_0_95,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
c_0_90 ).
cnf(c_0_96,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_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),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[c_0_91,c_0_30]) ).
cnf(c_0_97,plain,
~ c_HOL_Oord__class_Oless(c_RealDef_Oreal(X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
c_0_92 ).
cnf(c_0_98,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94])]) ).
cnf(c_0_99,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_88]),c_0_77])]),c_0_97]),c_0_98]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV611-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 17:08:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.56 Running first-order model finding
% 0.21/0.56 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.O8zmvS5vXM/E---3.1_21368.p
% 0.43/0.72 # Version: 3.1.0
% 0.43/0.72 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.43/0.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.72 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.43/0.72 # Starting new_bool_3 with 300s (1) cores
% 0.43/0.72 # Starting new_bool_1 with 300s (1) cores
% 0.43/0.72 # Starting sh5l with 300s (1) cores
% 0.43/0.72 # new_bool_3 with pid 21446 completed with status 0
% 0.43/0.72 # Result found by new_bool_3
% 0.43/0.72 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.43/0.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.72 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.43/0.72 # Starting new_bool_3 with 300s (1) cores
% 0.43/0.72 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.43/0.72 # Search class: FGUSM-FSLM32-DFFFFFNN
% 0.43/0.72 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.43/0.72 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.43/0.72 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 21450 completed with status 0
% 0.43/0.72 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.43/0.72 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.43/0.72 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.72 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.43/0.72 # Starting new_bool_3 with 300s (1) cores
% 0.43/0.72 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.43/0.72 # Search class: FGUSM-FSLM32-DFFFFFNN
% 0.43/0.72 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.43/0.72 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.43/0.72 # Preprocessing time : 0.007 s
% 0.43/0.72 # Presaturation interreduction done
% 0.43/0.72
% 0.43/0.72 # Proof found!
% 0.43/0.72 # SZS status Unsatisfiable
% 0.43/0.72 # SZS output start CNFRefutation
% See solution above
% 0.43/0.72 # Parsed axioms : 877
% 0.43/0.72 # Removed by relevancy pruning/SinE : 488
% 0.43/0.72 # Initial clauses : 389
% 0.43/0.72 # Removed in clause preprocessing : 0
% 0.43/0.72 # Initial clauses in saturation : 389
% 0.43/0.72 # Processed clauses : 1128
% 0.43/0.72 # ...of these trivial : 31
% 0.43/0.72 # ...subsumed : 419
% 0.43/0.72 # ...remaining for further processing : 678
% 0.43/0.72 # Other redundant clauses eliminated : 21
% 0.43/0.72 # Clauses deleted for lack of memory : 0
% 0.43/0.72 # Backward-subsumed : 31
% 0.43/0.72 # Backward-rewritten : 8
% 0.43/0.72 # Generated clauses : 3681
% 0.43/0.72 # ...of the previous two non-redundant : 2999
% 0.43/0.72 # ...aggressively subsumed : 0
% 0.43/0.72 # Contextual simplify-reflections : 3
% 0.43/0.72 # Paramodulations : 3652
% 0.43/0.72 # Factorizations : 2
% 0.43/0.72 # NegExts : 0
% 0.43/0.72 # Equation resolutions : 26
% 0.43/0.72 # Disequality decompositions : 0
% 0.43/0.72 # Total rewrite steps : 3782
% 0.43/0.72 # ...of those cached : 3519
% 0.43/0.72 # Propositional unsat checks : 0
% 0.43/0.72 # Propositional check models : 0
% 0.43/0.72 # Propositional check unsatisfiable : 0
% 0.43/0.72 # Propositional clauses : 0
% 0.43/0.72 # Propositional clauses after purity: 0
% 0.43/0.72 # Propositional unsat core size : 0
% 0.43/0.72 # Propositional preprocessing time : 0.000
% 0.43/0.72 # Propositional encoding time : 0.000
% 0.43/0.72 # Propositional solver time : 0.000
% 0.43/0.72 # Success case prop preproc time : 0.000
% 0.43/0.72 # Success case prop encoding time : 0.000
% 0.43/0.72 # Success case prop solver time : 0.000
% 0.43/0.72 # Current number of processed clauses : 375
% 0.43/0.72 # Positive orientable unit clauses : 111
% 0.43/0.72 # Positive unorientable unit clauses: 2
% 0.43/0.72 # Negative unit clauses : 44
% 0.43/0.72 # Non-unit-clauses : 218
% 0.43/0.72 # Current number of unprocessed clauses: 2485
% 0.43/0.72 # ...number of literals in the above : 6641
% 0.43/0.72 # Current number of archived formulas : 0
% 0.43/0.72 # Current number of archived clauses : 303
% 0.43/0.72 # Clause-clause subsumption calls (NU) : 11339
% 0.43/0.72 # Rec. Clause-clause subsumption calls : 5571
% 0.43/0.72 # Non-unit clause-clause subsumptions : 230
% 0.43/0.72 # Unit Clause-clause subsumption calls : 498
% 0.43/0.72 # Rewrite failures with RHS unbound : 0
% 0.43/0.72 # BW rewrite match attempts : 132
% 0.43/0.72 # BW rewrite match successes : 20
% 0.43/0.72 # Condensation attempts : 0
% 0.43/0.72 # Condensation successes : 0
% 0.43/0.72 # Termbank termtop insertions : 95963
% 0.43/0.72 # Search garbage collected termcells : 2508
% 0.43/0.72
% 0.43/0.72 # -------------------------------------------------
% 0.43/0.72 # User time : 0.114 s
% 0.43/0.72 # System time : 0.013 s
% 0.43/0.72 # Total time : 0.127 s
% 0.43/0.72 # Maximum resident set size: 2948 pages
% 0.43/0.72
% 0.43/0.72 # -------------------------------------------------
% 0.43/0.72 # User time : 0.136 s
% 0.43/0.72 # System time : 0.014 s
% 0.43/0.72 # Total time : 0.151 s
% 0.43/0.72 # Maximum resident set size: 2328 pages
% 0.43/0.72 % E---3.1 exiting
%------------------------------------------------------------------------------