TSTP Solution File: SWW258+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW258+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.S79va378Mo true
% Computer : n032.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 : Fri Sep 1 01:41:20 EDT 2023
% Result : Theorem 90.74s 13.84s
% Output : Refutation 90.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 44
% Syntax : Number of formulae : 84 ( 35 unt; 24 typ; 0 def)
% Number of atoms : 106 ( 19 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 598 ( 36 ~; 28 |; 3 &; 516 @)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 7 con; 0-3 aty)
% Number of variables : 51 ( 0 ^; 51 !; 0 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_w_____type,type,
v_w____: $i ).
thf(tc_RealDef_Oreal_type,type,
tc_RealDef_Oreal: $i ).
thf(c_Power_Opower__class_Opower_type,type,
c_Power_Opower__class_Opower: $i > $i ).
thf(class_Orderings_Opreorder_type,type,
class_Orderings_Opreorder: $i > $o ).
thf(class_RealVector_Oreal__normed__algebra__1_type,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(v_m_____type,type,
v_m____: $i ).
thf(c_Groups_Ozero__class_Ozero_type,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
thf(class_RealVector_Oreal__normed__vector_type,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
thf(v_k_____type,type,
v_k____: $i ).
thf(c_Nat_OSuc_type,type,
c_Nat_OSuc: $i > $i ).
thf(c_Orderings_Oord__class_Oless__eq_type,type,
c_Orderings_Oord__class_Oless__eq: $i > $i > $i > $o ).
thf(c_Groups_Oplus__class_Oplus_type,type,
c_Groups_Oplus__class_Oplus: $i > $i > $i > $i ).
thf(c_Rings_Oinverse__class_Oinverse_type,type,
c_Rings_Oinverse__class_Oinverse: $i > $i > $i ).
thf(c_Groups_Otimes__class_Otimes_type,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
thf(c_Groups_Oone__class_Oone_type,type,
c_Groups_Oone__class_Oone: $i > $i ).
thf(class_Rings_Olinordered__ring__strict_type,type,
class_Rings_Olinordered__ring__strict: $i > $o ).
thf(class_Fields_Olinordered__field__inverse__zero_type,type,
class_Fields_Olinordered__field__inverse__zero: $i > $o ).
thf(tc_Nat_Onat_type,type,
tc_Nat_Onat: $i ).
thf(c_RealVector_Onorm__class_Onorm_type,type,
c_RealVector_Onorm__class_Onorm: $i > $i > $i ).
thf(tc_Complex_Ocomplex_type,type,
tc_Complex_Ocomplex: $i ).
thf(c_Orderings_Oord__class_Oless_type,type,
c_Orderings_Oord__class_Oless: $i > $i > $i > $o ).
thf(class_Rings_Oring__1__no__zero__divisors_type,type,
class_Rings_Oring__1__no__zero__divisors: $i > $o ).
thf(class_Orderings_Olinorder_type,type,
class_Orderings_Olinorder: $i > $o ).
thf(fact_norm__power__ineq,axiom,
! [V_n: $i,V_x: $i,T_a: $i] :
( ( class_RealVector_Oreal__normed__algebra__1 @ T_a )
=> ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ T_a @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ T_a ) @ V_x ) @ V_n ) ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ T_a @ V_x ) ) @ V_n ) ) ) ).
thf(zip_derived_cl104,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ X0 @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ X0 ) @ X1 ) @ X2 ) ) @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ X0 @ X1 ) ) @ X2 ) )
| ~ ( class_RealVector_Oreal__normed__algebra__1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_norm__power__ineq]) ).
thf(fact_not__leE,axiom,
! [V_x: $i,V_y: $i,T_a: $i] :
( ( class_Orderings_Olinorder @ T_a )
=> ( ~ ( c_Orderings_Oord__class_Oless__eq @ T_a @ V_y @ V_x )
=> ( c_Orderings_Oord__class_Oless @ T_a @ V_x @ V_y ) ) ) ).
thf(zip_derived_cl1028,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ X0 @ X1 @ X2 )
| ( c_Orderings_Oord__class_Oless @ X0 @ X2 @ X1 )
| ~ ( class_Orderings_Olinorder @ X0 ) ),
inference(cnf,[status(esa)],[fact_not__leE]) ).
thf(conj_0,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____ ) ) ).
thf(zf_stmt_0,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('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl1671,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 @ ( 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(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_Suc__eq__plus1,axiom,
! [V_n: $i] :
( ( c_Nat_OSuc @ V_n )
= ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ V_n @ ( c_Groups_Oone__class_Oone @ tc_Nat_Onat ) ) ) ).
thf(zip_derived_cl1316,plain,
! [X0: $i] :
( ( c_Nat_OSuc @ X0 )
= ( c_Groups_Oplus__class_Oplus @ tc_Nat_Onat @ X0 @ ( c_Groups_Oone__class_Oone @ tc_Nat_Onat ) ) ),
inference(cnf,[status(esa)],[fact_Suc__eq__plus1]) ).
thf(zip_derived_cl14219,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 @ ( 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_Nat_OSuc @ v_k____ ) ) ) @ v_m____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1671,zip_derived_cl1316]) ).
thf(zip_derived_cl14220,plain,
( ~ ( class_Orderings_Olinorder @ tc_RealDef_Oreal )
| ( c_Orderings_Oord__class_Oless__eq @ 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_Nat_OSuc @ v_k____ ) ) ) @ v_m____ ) ) @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1028,zip_derived_cl14219]) ).
thf(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
class_Orderings_Olinorder @ tc_RealDef_Oreal ).
thf(zip_derived_cl1550,plain,
class_Orderings_Olinorder @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Orderings_Olinorder]) ).
thf(zip_derived_cl14222,plain,
c_Orderings_Oord__class_Oless__eq @ 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_Nat_OSuc @ v_k____ ) ) ) @ v_m____ ) ) @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ),
inference(demod,[status(thm)],[zip_derived_cl14220,zip_derived_cl1550]) ).
thf(fact_real__mult__commute,axiom,
! [V_w: $i,V_z: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ V_z ) @ V_w )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ V_w ) @ V_z ) ) ).
thf(zip_derived_cl272,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ X1 ) @ X0 )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[fact_real__mult__commute]) ).
thf(zip_derived_cl39680,plain,
c_Orderings_Oord__class_Oless__eq @ 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_Nat_OSuc @ v_k____ ) ) ) ) @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ),
inference(demod,[status(thm)],[zip_derived_cl14222,zip_derived_cl272]) ).
thf(fact_inverse__nonpositive__iff__nonpositive,axiom,
! [V_aa_2: $i,T_a: $i] :
( ( class_Fields_Olinordered__field__inverse__zero @ T_a )
=> ( ( c_Orderings_Oord__class_Oless__eq @ T_a @ ( c_Rings_Oinverse__class_Oinverse @ T_a @ V_aa_2 ) @ ( c_Groups_Ozero__class_Ozero @ T_a ) )
<=> ( c_Orderings_Oord__class_Oless__eq @ T_a @ V_aa_2 @ ( c_Groups_Ozero__class_Ozero @ T_a ) ) ) ) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i] :
( ~ ( c_Orderings_Oord__class_Oless__eq @ X0 @ ( c_Rings_Oinverse__class_Oinverse @ X0 @ X1 ) @ ( c_Groups_Ozero__class_Ozero @ X0 ) )
| ( c_Orderings_Oord__class_Oless__eq @ X0 @ X1 @ ( c_Groups_Ozero__class_Ozero @ X0 ) )
| ~ ( class_Fields_Olinordered__field__inverse__zero @ X0 ) ),
inference(cnf,[status(esa)],[fact_inverse__nonpositive__iff__nonpositive]) ).
thf(zip_derived_cl39712,plain,
( ~ ( class_Fields_Olinordered__field__inverse__zero @ tc_RealDef_Oreal )
| ( c_Orderings_Oord__class_Oless__eq @ 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_Nat_OSuc @ v_k____ ) ) ) @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl39680,zip_derived_cl69]) ).
thf(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom,
class_Fields_Olinordered__field__inverse__zero @ tc_RealDef_Oreal ).
thf(zip_derived_cl1510,plain,
class_Fields_Olinordered__field__inverse__zero @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero]) ).
thf(zip_derived_cl39750,plain,
c_Orderings_Oord__class_Oless__eq @ 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_Nat_OSuc @ v_k____ ) ) ) @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ),
inference(demod,[status(thm)],[zip_derived_cl39712,zip_derived_cl1510]) ).
thf(fact_mult__le__0__iff,axiom,
! [V_b_2: $i,V_aa_2: $i,T_a: $i] :
( ( class_Rings_Olinordered__ring__strict @ T_a )
=> ( ( c_Orderings_Oord__class_Oless__eq @ T_a @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ V_aa_2 ) @ V_b_2 ) @ ( c_Groups_Ozero__class_Ozero @ T_a ) )
<=> ( ( ( c_Orderings_Oord__class_Oless__eq @ T_a @ ( c_Groups_Ozero__class_Ozero @ T_a ) @ V_aa_2 )
& ( c_Orderings_Oord__class_Oless__eq @ T_a @ V_b_2 @ ( c_Groups_Ozero__class_Ozero @ T_a ) ) )
| ( ( c_Orderings_Oord__class_Oless__eq @ T_a @ V_aa_2 @ ( c_Groups_Ozero__class_Ozero @ T_a ) )
& ( c_Orderings_Oord__class_Oless__eq @ T_a @ ( c_Groups_Ozero__class_Ozero @ T_a ) @ V_b_2 ) ) ) ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( c_Orderings_Oord__class_Oless__eq @ X0 @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ X1 ) @ X2 ) @ ( c_Groups_Ozero__class_Ozero @ X0 ) )
| ( c_Orderings_Oord__class_Oless__eq @ X0 @ X2 @ ( c_Groups_Ozero__class_Ozero @ X0 ) )
| ( c_Orderings_Oord__class_Oless__eq @ X0 @ X1 @ ( c_Groups_Ozero__class_Ozero @ X0 ) )
| ~ ( class_Rings_Olinordered__ring__strict @ X0 ) ),
inference(cnf,[status(esa)],[fact_mult__le__0__iff]) ).
thf(zip_derived_cl40542,plain,
( ~ ( class_Rings_Olinordered__ring__strict @ tc_RealDef_Oreal )
| ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ v_m____ @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
| ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( c_Nat_OSuc @ v_k____ ) ) @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl39750,zip_derived_cl55]) ).
thf(arity_RealDef__Oreal__Rings_Olinordered__ring__strict,axiom,
class_Rings_Olinordered__ring__strict @ tc_RealDef_Oreal ).
thf(zip_derived_cl1524,plain,
class_Rings_Olinordered__ring__strict @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Rings_Olinordered__ring__strict]) ).
thf(fact_m_I1_J,axiom,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ v_m____ ).
thf(zip_derived_cl1,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ v_m____,
inference(cnf,[status(esa)],[fact_m_I1_J]) ).
thf(fact_less__le__not__le,axiom,
! [V_y_2: $i,V_x_2: $i,T_a: $i] :
( ( class_Orderings_Opreorder @ T_a )
=> ( ( c_Orderings_Oord__class_Oless @ T_a @ V_x_2 @ V_y_2 )
<=> ( ( c_Orderings_Oord__class_Oless__eq @ T_a @ V_x_2 @ V_y_2 )
& ~ ( c_Orderings_Oord__class_Oless__eq @ T_a @ V_y_2 @ V_x_2 ) ) ) ) ).
thf(zip_derived_cl1034,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( c_Orderings_Oord__class_Oless @ X0 @ X1 @ X2 )
| ~ ( c_Orderings_Oord__class_Oless__eq @ X0 @ X2 @ X1 )
| ~ ( class_Orderings_Opreorder @ X0 ) ),
inference(cnf,[status(esa)],[fact_less__le__not__le]) ).
thf(zip_derived_cl3969,plain,
( ~ ( class_Orderings_Opreorder @ tc_RealDef_Oreal )
| ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ v_m____ @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl1034]) ).
thf(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder @ tc_RealDef_Oreal ).
thf(zip_derived_cl1549,plain,
class_Orderings_Opreorder @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Orderings_Opreorder]) ).
thf(zip_derived_cl3986,plain,
~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ v_m____ @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ),
inference(demod,[status(thm)],[zip_derived_cl3969,zip_derived_cl1549]) ).
thf(zip_derived_cl40583,plain,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( c_Nat_OSuc @ v_k____ ) ) @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ),
inference(demod,[status(thm)],[zip_derived_cl40542,zip_derived_cl1524,zip_derived_cl3986]) ).
thf(fact_real__le__trans,axiom,
! [V_k: $i,V_j: $i,V_i: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_i @ V_j )
=> ( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_j @ V_k )
=> ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_i @ V_k ) ) ) ).
thf(zip_derived_cl267,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ X1 )
| ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X2 @ X0 )
| ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[fact_real__le__trans]) ).
thf(zip_derived_cl40618,plain,
! [X0: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
| ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( c_Nat_OSuc @ v_k____ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl40583,zip_derived_cl267]) ).
thf(zip_derived_cl43858,plain,
( ~ ( class_RealVector_Oreal__normed__algebra__1 @ tc_Complex_Ocomplex )
| ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ v_w____ ) @ ( c_Nat_OSuc @ v_k____ ) ) ) @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl40618]) ).
thf(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
class_RealVector_Oreal__normed__algebra__1 @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1576,plain,
class_RealVector_Oreal__normed__algebra__1 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1]) ).
thf(zip_derived_cl43862,plain,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ v_w____ ) @ ( c_Nat_OSuc @ v_k____ ) ) ) @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ),
inference(demod,[status(thm)],[zip_derived_cl43858,zip_derived_cl1576]) ).
thf(fact_norm__le__zero__iff,axiom,
! [V_x_2: $i,T_a: $i] :
( ( class_RealVector_Oreal__normed__vector @ T_a )
=> ( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ T_a @ V_x_2 ) @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
<=> ( V_x_2
= ( c_Groups_Ozero__class_Ozero @ T_a ) ) ) ) ).
thf(zip_derived_cl101,plain,
! [X0: $i,X1: $i] :
( ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ X0 @ X1 ) @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
| ( X1
= ( c_Groups_Ozero__class_Ozero @ X0 ) )
| ~ ( class_RealVector_Oreal__normed__vector @ X0 ) ),
inference(cnf,[status(esa)],[fact_norm__le__zero__iff]) ).
thf(zip_derived_cl46212,plain,
( ~ ( class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex )
| ( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ v_w____ ) @ ( c_Nat_OSuc @ v_k____ ) )
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl43862,zip_derived_cl101]) ).
thf(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1580,plain,
class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
thf(zip_derived_cl46253,plain,
( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ tc_Complex_Ocomplex ) @ v_w____ ) @ ( c_Nat_OSuc @ v_k____ ) )
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference(demod,[status(thm)],[zip_derived_cl46212,zip_derived_cl1580]) ).
thf(fact_field__power__not__zero,axiom,
! [V_n: $i,V_a: $i,T_a: $i] :
( ( class_Rings_Oring__1__no__zero__divisors @ T_a )
=> ( ( V_a
!= ( c_Groups_Ozero__class_Ozero @ T_a ) )
=> ( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ T_a ) @ V_a ) @ V_n )
!= ( c_Groups_Ozero__class_Ozero @ T_a ) ) ) ) ).
thf(zip_derived_cl138,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
= ( c_Groups_Ozero__class_Ozero @ X0 ) )
| ( ( hAPP @ ( hAPP @ ( c_Power_Opower__class_Opower @ X0 ) @ X1 ) @ X2 )
!= ( c_Groups_Ozero__class_Ozero @ X0 ) )
| ~ ( class_Rings_Oring__1__no__zero__divisors @ X0 ) ),
inference(cnf,[status(esa)],[fact_field__power__not__zero]) ).
thf(zip_derived_cl46269,plain,
( ( ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex )
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
| ~ ( class_Rings_Oring__1__no__zero__divisors @ tc_Complex_Ocomplex )
| ( v_w____
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl46253,zip_derived_cl138]) ).
thf(arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors,axiom,
class_Rings_Oring__1__no__zero__divisors @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1579,plain,
class_Rings_Oring__1__no__zero__divisors @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors]) ).
thf(zip_derived_cl46291,plain,
( ( ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex )
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
| ( v_w____
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ),
inference(demod,[status(thm)],[zip_derived_cl46269,zip_derived_cl1579]) ).
thf(zip_derived_cl46292,plain,
( v_w____
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference(simplify,[status(thm)],[zip_derived_cl46291]) ).
thf(fact_w0,axiom,
( v_w____
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ).
thf(zip_derived_cl2,plain,
( v_w____
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference(cnf,[status(esa)],[fact_w0]) ).
thf(zip_derived_cl46293,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl46292,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWW258+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.09 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.S79va378Mo true
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Sun Aug 27 17:53:30 EDT 2023
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % Running portfolio for 300 s
% 0.08/0.28 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.28 % Number of cores: 8
% 0.08/0.28 % Python version: Python 3.6.8
% 0.08/0.28 % Running in FO mode
% 0.12/0.51 % Total configuration time : 435
% 0.12/0.51 % Estimated wc time : 1092
% 0.12/0.51 % Estimated cpu time (7 cpus) : 156.0
% 0.12/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.12/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.12/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.12/0.63 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.12/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.12/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.12/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 90.74/13.84 % Solved by fo/fo5.sh.
% 90.74/13.84 % done 3621 iterations in 13.164s
% 90.74/13.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 90.74/13.84 % SZS output start Refutation
% See solution above
% 90.74/13.84
% 90.74/13.84
% 90.74/13.84 % Terminating...
% 91.92/13.96 % Runner terminated.
% 91.92/13.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------