TSTP Solution File: SWW258+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWW258+1 : TPTP v5.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Mar 6 15:26:46 EST 2011
% Result : Theorem 104.54s
% Output : CNFRefutation 104.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 63 ( 27 unt; 0 def)
% Number of atoms : 159 ( 16 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 168 ( 72 ~; 70 |; 14 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 65 ( 1 sgn 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(408,axiom,
! [X18,X11,X4] :
( class_Orderings_Opreorder(X4)
=> ( c_Orderings_Oord__class_Oless(X4,X11,X18)
<=> ( c_Orderings_Oord__class_Oless__eq(X4,X11,X18)
& ~ c_Orderings_Oord__class_Oless__eq(X4,X18,X11) ) ) ),
file('/tmp/tmphww_2b/sel_SWW258+1.p_2',fact_less__le__not__le) ).
fof(451,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/tmp/tmphww_2b/sel_SWW258+1.p_2',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(456,axiom,
v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/tmp/tmphww_2b/sel_SWW258+1.p_2',fact_w0) ).
fof(478,axiom,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
file('/tmp/tmphww_2b/sel_SWW258+1.p_2',arity_RealDef__Oreal__Rings_Olinordered__semidom) ).
fof(578,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/tmp/tmphww_2b/sel_SWW258+1.p_2',arity_RealDef__Oreal__Orderings_Opreorder) ).
fof(596,axiom,
! [X11,X4] :
( class_RealVector_Oreal__normed__vector(X4)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4,X11),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
<=> X11 = c_Groups_Ozero__class_Ozero(X4) ) ),
file('/tmp/tmphww_2b/sel_SWW258+1.p_2',fact_norm__le__zero__iff) ).
fof(685,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
file('/tmp/tmphww_2b/sel_SWW258+1.p_2',fact_m_I1_J) ).
fof(693,axiom,
! [X28,X24] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X24),X28) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X28),X24),
file('/tmp/tmphww_2b/sel_SWW258+1.p_2',fact_real__mult__commute) ).
fof(703,axiom,
! [X25,X8] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X8)
=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X25)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X8),X25)) ) ),
file('/tmp/tmphww_2b/sel_SWW258+1.p_2',fact_real__mult__order) ).
fof(781,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
file('/tmp/tmphww_2b/sel_SWW258+1.p_2',conj_0) ).
fof(833,axiom,
! [X5,X3,X4] :
( class_Rings_Olinordered__semidom(X4)
=> ( c_Orderings_Oord__class_Oless(X4,c_Groups_Ozero__class_Ozero(X4),X3)
=> c_Orderings_Oord__class_Oless(X4,c_Groups_Ozero__class_Ozero(X4),hAPP(hAPP(c_Power_Opower__class_Opower(X4),X3),X5)) ) ),
file('/tmp/tmphww_2b/sel_SWW258+1.p_2',fact_zero__less__power) ).
fof(1029,axiom,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
file('/tmp/tmphww_2b/sel_SWW258+1.p_2',arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero) ).
fof(1035,axiom,
! [X6,X4] :
( class_Fields_Olinordered__field__inverse__zero(X4)
=> ( c_Orderings_Oord__class_Oless(X4,c_Groups_Ozero__class_Ozero(X4),c_Rings_Oinverse__class_Oinverse(X4,X6))
<=> c_Orderings_Oord__class_Oless(X4,c_Groups_Ozero__class_Ozero(X4),X6) ) ),
file('/tmp/tmphww_2b/sel_SWW258+1.p_2',fact_inverse__positive__iff__positive) ).
fof(1272,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),
file('/tmp/tmphww_2b/sel_SWW258+1.p_2',fact__0960_A_060_061_Acmod_Aw_096) ).
fof(1273,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
inference(assume_negation,[status(cth)],[781]) ).
fof(1297,plain,
! [X18,X11,X4] :
( class_Orderings_Opreorder(X4)
=> ( c_Orderings_Oord__class_Oless(X4,X11,X18)
<=> ( c_Orderings_Oord__class_Oless__eq(X4,X11,X18)
& ~ c_Orderings_Oord__class_Oless__eq(X4,X18,X11) ) ) ),
inference(fof_simplification,[status(thm)],[408,theory(equality)]) ).
fof(1325,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
inference(fof_simplification,[status(thm)],[1273,theory(equality)]) ).
fof(2639,plain,
! [X18,X11,X4] :
( ~ class_Orderings_Opreorder(X4)
| ( ( ~ c_Orderings_Oord__class_Oless(X4,X11,X18)
| ( c_Orderings_Oord__class_Oless__eq(X4,X11,X18)
& ~ c_Orderings_Oord__class_Oless__eq(X4,X18,X11) ) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X4,X11,X18)
| c_Orderings_Oord__class_Oless__eq(X4,X18,X11)
| c_Orderings_Oord__class_Oless(X4,X11,X18) ) ) ),
inference(fof_nnf,[status(thm)],[1297]) ).
fof(2640,plain,
! [X19,X20,X21] :
( ~ class_Orderings_Opreorder(X21)
| ( ( ~ c_Orderings_Oord__class_Oless(X21,X20,X19)
| ( c_Orderings_Oord__class_Oless__eq(X21,X20,X19)
& ~ c_Orderings_Oord__class_Oless__eq(X21,X19,X20) ) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X21,X20,X19)
| c_Orderings_Oord__class_Oless__eq(X21,X19,X20)
| c_Orderings_Oord__class_Oless(X21,X20,X19) ) ) ),
inference(variable_rename,[status(thm)],[2639]) ).
fof(2641,plain,
! [X19,X20,X21] :
( ( c_Orderings_Oord__class_Oless__eq(X21,X20,X19)
| ~ c_Orderings_Oord__class_Oless(X21,X20,X19)
| ~ class_Orderings_Opreorder(X21) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X21,X19,X20)
| ~ c_Orderings_Oord__class_Oless(X21,X20,X19)
| ~ class_Orderings_Opreorder(X21) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X21,X20,X19)
| c_Orderings_Oord__class_Oless__eq(X21,X19,X20)
| c_Orderings_Oord__class_Oless(X21,X20,X19)
| ~ class_Orderings_Opreorder(X21) ) ),
inference(distribute,[status(thm)],[2640]) ).
cnf(2642,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[2641]) ).
cnf(2771,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[451]) ).
cnf(2783,plain,
v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[456]) ).
cnf(2842,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[478]) ).
cnf(3132,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[578]) ).
fof(3176,plain,
! [X11,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4,X11),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| X11 = c_Groups_Ozero__class_Ozero(X4) )
& ( X11 != c_Groups_Ozero__class_Ozero(X4)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4,X11),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ) ),
inference(fof_nnf,[status(thm)],[596]) ).
fof(3177,plain,
! [X12,X13] :
( ~ class_RealVector_Oreal__normed__vector(X13)
| ( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X13,X12),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| X12 = c_Groups_Ozero__class_Ozero(X13) )
& ( X12 != c_Groups_Ozero__class_Ozero(X13)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X13,X12),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ) ),
inference(variable_rename,[status(thm)],[3176]) ).
fof(3178,plain,
! [X12,X13] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X13,X12),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| X12 = c_Groups_Ozero__class_Ozero(X13)
| ~ class_RealVector_Oreal__normed__vector(X13) )
& ( X12 != c_Groups_Ozero__class_Ozero(X13)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X13,X12),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| ~ class_RealVector_Oreal__normed__vector(X13) ) ),
inference(distribute,[status(thm)],[3177]) ).
cnf(3180,plain,
( X2 = c_Groups_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__vector(X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
inference(split_conjunct,[status(thm)],[3178]) ).
cnf(3445,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
inference(split_conjunct,[status(thm)],[685]) ).
fof(3477,plain,
! [X29,X30] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X30),X29) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X29),X30),
inference(variable_rename,[status(thm)],[693]) ).
cnf(3478,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),
inference(split_conjunct,[status(thm)],[3477]) ).
fof(3503,plain,
! [X25,X8] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X8)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X25)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X8),X25)) ),
inference(fof_nnf,[status(thm)],[703]) ).
fof(3504,plain,
! [X26,X27] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X27)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X26)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X27),X26)) ),
inference(variable_rename,[status(thm)],[3503]) ).
cnf(3505,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
inference(split_conjunct,[status(thm)],[3504]) ).
cnf(3737,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
inference(split_conjunct,[status(thm)],[1325]) ).
fof(3902,plain,
! [X5,X3,X4] :
( ~ class_Rings_Olinordered__semidom(X4)
| ~ c_Orderings_Oord__class_Oless(X4,c_Groups_Ozero__class_Ozero(X4),X3)
| c_Orderings_Oord__class_Oless(X4,c_Groups_Ozero__class_Ozero(X4),hAPP(hAPP(c_Power_Opower__class_Opower(X4),X3),X5)) ),
inference(fof_nnf,[status(thm)],[833]) ).
fof(3903,plain,
! [X6,X7,X8] :
( ~ class_Rings_Olinordered__semidom(X8)
| ~ c_Orderings_Oord__class_Oless(X8,c_Groups_Ozero__class_Ozero(X8),X7)
| c_Orderings_Oord__class_Oless(X8,c_Groups_Ozero__class_Ozero(X8),hAPP(hAPP(c_Power_Opower__class_Opower(X8),X7),X6)) ),
inference(variable_rename,[status(thm)],[3902]) ).
cnf(3904,plain,
( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
| ~ class_Rings_Olinordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[3903]) ).
cnf(4491,plain,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[1029]) ).
fof(4510,plain,
! [X6,X4] :
( ~ class_Fields_Olinordered__field__inverse__zero(X4)
| ( ( ~ c_Orderings_Oord__class_Oless(X4,c_Groups_Ozero__class_Ozero(X4),c_Rings_Oinverse__class_Oinverse(X4,X6))
| c_Orderings_Oord__class_Oless(X4,c_Groups_Ozero__class_Ozero(X4),X6) )
& ( ~ c_Orderings_Oord__class_Oless(X4,c_Groups_Ozero__class_Ozero(X4),X6)
| c_Orderings_Oord__class_Oless(X4,c_Groups_Ozero__class_Ozero(X4),c_Rings_Oinverse__class_Oinverse(X4,X6)) ) ) ),
inference(fof_nnf,[status(thm)],[1035]) ).
fof(4511,plain,
! [X7,X8] :
( ~ class_Fields_Olinordered__field__inverse__zero(X8)
| ( ( ~ c_Orderings_Oord__class_Oless(X8,c_Groups_Ozero__class_Ozero(X8),c_Rings_Oinverse__class_Oinverse(X8,X7))
| c_Orderings_Oord__class_Oless(X8,c_Groups_Ozero__class_Ozero(X8),X7) )
& ( ~ c_Orderings_Oord__class_Oless(X8,c_Groups_Ozero__class_Ozero(X8),X7)
| c_Orderings_Oord__class_Oless(X8,c_Groups_Ozero__class_Ozero(X8),c_Rings_Oinverse__class_Oinverse(X8,X7)) ) ) ),
inference(variable_rename,[status(thm)],[4510]) ).
fof(4512,plain,
! [X7,X8] :
( ( ~ c_Orderings_Oord__class_Oless(X8,c_Groups_Ozero__class_Ozero(X8),c_Rings_Oinverse__class_Oinverse(X8,X7))
| c_Orderings_Oord__class_Oless(X8,c_Groups_Ozero__class_Ozero(X8),X7)
| ~ class_Fields_Olinordered__field__inverse__zero(X8) )
& ( ~ c_Orderings_Oord__class_Oless(X8,c_Groups_Ozero__class_Ozero(X8),X7)
| c_Orderings_Oord__class_Oless(X8,c_Groups_Ozero__class_Ozero(X8),c_Rings_Oinverse__class_Oinverse(X8,X7))
| ~ class_Fields_Olinordered__field__inverse__zero(X8) ) ),
inference(distribute,[status(thm)],[4511]) ).
cnf(4513,plain,
( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Oinverse(X1,X2))
| ~ class_Fields_Olinordered__field__inverse__zero(X1)
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
inference(split_conjunct,[status(thm)],[4512]) ).
cnf(5232,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),
inference(split_conjunct,[status(thm)],[1272]) ).
cnf(6077,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
inference(rw,[status(thm)],[3737,3478,theory(equality)]) ).
cnf(11826,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
inference(spm,[status(thm)],[4513,4491,theory(equality)]) ).
cnf(25027,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| ~ class_Orderings_Opreorder(tc_RealDef_Oreal) ),
inference(spm,[status(thm)],[2642,5232,theory(equality)]) ).
cnf(25093,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| $false ),
inference(rw,[status(thm)],[25027,3132,theory(equality)]) ).
cnf(25094,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)) ),
inference(cn,[status(thm)],[25093,theory(equality)]) ).
cnf(72352,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_w____
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
inference(spm,[status(thm)],[3180,25094,theory(equality)]) ).
cnf(72370,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_w____
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| $false ),
inference(rw,[status(thm)],[72352,2771,theory(equality)]) ).
cnf(72371,plain,
( c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_w____
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)) ),
inference(cn,[status(thm)],[72370,theory(equality)]) ).
cnf(72372,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),
inference(sr,[status(thm)],[72371,2783,theory(equality)]) ).
cnf(585840,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
inference(spm,[status(thm)],[6077,11826,theory(equality)]) ).
cnf(586480,negated_conjecture,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____) ),
inference(spm,[status(thm)],[585840,3505,theory(equality)]) ).
cnf(586498,negated_conjecture,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))
| $false ),
inference(rw,[status(thm)],[586480,3445,theory(equality)]) ).
cnf(586499,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
inference(cn,[status(thm)],[586498,theory(equality)]) ).
cnf(586513,negated_conjecture,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| ~ class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ),
inference(spm,[status(thm)],[586499,3904,theory(equality)]) ).
cnf(586528,negated_conjecture,
( $false
| ~ class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[586513,72372,theory(equality)]) ).
cnf(586529,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[586528,2842,theory(equality)]) ).
cnf(586530,negated_conjecture,
$false,
inference(cn,[status(thm)],[586529,theory(equality)]) ).
cnf(586531,negated_conjecture,
$false,
586530,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWW/SWW258+1.p
% --creating new selector for []
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmphww_2b/sel_SWW258+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmphww_2b/sel_SWW258+1.p_2 with time limit 80
% -prover status Theorem
% Problem SWW258+1.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWW/SWW258+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWW/SWW258+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------