TSTP Solution File: SWW261+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW261+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3QL402dnZp true
% Computer : n020.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 01:41:21 EDT 2023
% Result : Theorem 23.30s 4.01s
% Output : Refutation 23.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 42
% Syntax : Number of formulae : 95 ( 42 unt; 19 typ; 0 def)
% Number of atoms : 134 ( 42 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 708 ( 47 ~; 37 |; 2 &; 603 @)
% ( 3 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 5 con; 0-3 aty)
% Number of variables : 75 ( 0 ^; 75 !; 0 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_w_____type,type,
v_w____: $i ).
thf(class_Orderings_Olinorder_type,type,
class_Orderings_Olinorder: $i > $o ).
thf(class_RealVector_Oreal__normed__algebra__1_type,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
thf(c_Groups_Oone__class_Oone_type,type,
c_Groups_Oone__class_Oone: $i > $i ).
thf(class_RealVector_Oreal__normed__vector_type,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
thf(class_RealVector_Oreal__normed__algebra_type,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
thf(tc_RealDef_Oreal_type,type,
tc_RealDef_Oreal: $i ).
thf(c_Groups_Oabs__class_Oabs_type,type,
c_Groups_Oabs__class_Oabs: $i > $i > $i ).
thf(c_Groups_Ozero__class_Ozero_type,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(class_Orderings_Oorder_type,type,
class_Orderings_Oorder: $i > $o ).
thf(v_t_____type,type,
v_t____: $i ).
thf(c_Groups_Otimes__class_Otimes_type,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
thf(c_Orderings_Oord__class_Oless_type,type,
c_Orderings_Oord__class_Oless: $i > $i > $i > $o ).
thf(c_RealVector_Oof__real_type,type,
c_RealVector_Oof__real: $i > $i > $i ).
thf(c_Groups_Ouminus__class_Ouminus_type,type,
c_Groups_Ouminus__class_Ouminus: $i > $i > $i ).
thf(tc_Complex_Ocomplex_type,type,
tc_Complex_Ocomplex: $i ).
thf(c_RealVector_Onorm__class_Onorm_type,type,
c_RealVector_Onorm__class_Onorm: $i > $i > $i ).
thf(c_Orderings_Oord__class_Oless__eq_type,type,
c_Orderings_Oord__class_Oless__eq: $i > $i > $i > $o ).
thf(fact_real__mult__1,axiom,
! [V_z: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) @ V_z )
= V_z ) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_real__mult__1]) ).
thf(fact_norm__of__real,axiom,
! [V_r: $i,T_a: $i] :
( ( class_RealVector_Oreal__normed__algebra__1 @ T_a )
=> ( ( c_RealVector_Onorm__class_Onorm @ T_a @ ( c_RealVector_Oof__real @ T_a @ V_r ) )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ V_r ) ) ) ).
thf(zip_derived_cl928,plain,
! [X0: $i,X1: $i] :
( ( ( c_RealVector_Onorm__class_Onorm @ X1 @ ( c_RealVector_Oof__real @ X1 @ X0 ) )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 ) )
| ~ ( class_RealVector_Oreal__normed__algebra__1 @ X1 ) ),
inference(cnf,[status(esa)],[fact_norm__of__real]) ).
thf(fact_real__le__linear,axiom,
! [V_w: $i,V_z: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_w @ V_z )
| ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_z @ V_w ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ X1 )
| ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_real__le__linear]) ).
thf(conj_0,conjecture,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_RealVector_Oof__real @ tc_Complex_Ocomplex @ v_t____ ) ) @ v_w____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_RealVector_Oof__real @ tc_Complex_Ocomplex @ v_t____ ) ) @ v_w____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl1647,plain,
~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_RealVector_Oof__real @ tc_Complex_Ocomplex @ v_t____ ) ) @ v_w____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2963,plain,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ ( c_RealVector_Oof__real @ tc_Complex_Ocomplex @ v_t____ ) ) @ v_w____ ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl1647]) ).
thf(fact_norm__mult__ineq,axiom,
! [V_y: $i,V_x: $i,T_a: $i] :
( ( class_RealVector_Oreal__normed__algebra @ T_a )
=> ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ T_a @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ V_x ) @ V_y ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ T_a @ V_x ) ) @ ( c_RealVector_Onorm__class_Onorm @ T_a @ V_y ) ) ) ) ).
thf(zip_derived_cl2,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_Groups_Otimes__class_Otimes @ X0 ) @ X1 ) @ X2 ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ X0 @ X1 ) ) @ ( c_RealVector_Onorm__class_Onorm @ X0 @ X2 ) ) )
| ~ ( class_RealVector_Oreal__normed__algebra @ X0 ) ),
inference(cnf,[status(esa)],[fact_norm__mult__ineq]) ).
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_cl12,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_cl1781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( class_RealVector_Oreal__normed__algebra @ X1 )
| ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X3 @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ X1 @ X2 ) ) @ ( c_RealVector_Onorm__class_Onorm @ X1 @ X0 ) ) )
| ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X3 @ ( c_RealVector_Onorm__class_Onorm @ X1 @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X1 ) @ X2 ) @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl12]) ).
thf(zip_derived_cl7827,plain,
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_RealVector_Oof__real @ tc_Complex_Ocomplex @ v_t____ ) ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) )
| ~ ( class_RealVector_Oreal__normed__algebra @ tc_Complex_Ocomplex ) ),
inference('sup-',[status(thm)],[zip_derived_cl2963,zip_derived_cl1781]) ).
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_cl34,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(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
class_RealVector_Oreal__normed__algebra @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1548,plain,
class_RealVector_Oreal__normed__algebra @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra]) ).
thf(zip_derived_cl7837,plain,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_RealVector_Oof__real @ tc_Complex_Ocomplex @ v_t____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7827,zip_derived_cl34,zip_derived_cl1548]) ).
thf(zip_derived_cl14807,plain,
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ v_t____ ) ) )
| ~ ( class_RealVector_Oreal__normed__algebra__1 @ tc_Complex_Ocomplex ) ),
inference('sup+',[status(thm)],[zip_derived_cl928,zip_derived_cl7837]) ).
thf(fact_abs__real__def,axiom,
! [V_a: $i] :
( ( ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ V_a @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
=> ( ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ V_a )
= V_a ) )
& ( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ V_a @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
=> ( ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ V_a )
= ( c_Groups_Ouminus__class_Ouminus @ tc_RealDef_Oreal @ V_a ) ) ) ) ).
thf(zip_derived_cl946,plain,
! [X0: $i] :
( ( ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 )
= X0 )
| ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X0 @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) ),
inference(cnf,[status(esa)],[fact_abs__real__def]) ).
thf(fact_t_I1_J,axiom,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ v_t____ ).
thf(zip_derived_cl4,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ v_t____,
inference(cnf,[status(esa)],[fact_t_I1_J]) ).
thf(fact_not__less__iff__gr__or__eq,axiom,
! [V_y_2: $i,V_x_2: $i,T_a: $i] :
( ( class_Orderings_Olinorder @ T_a )
=> ( ~ ( c_Orderings_Oord__class_Oless @ T_a @ V_x_2 @ V_y_2 )
<=> ( ( c_Orderings_Oord__class_Oless @ T_a @ V_y_2 @ V_x_2 )
| ( V_x_2 = V_y_2 ) ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( c_Orderings_Oord__class_Oless @ X0 @ X1 @ X2 )
| ~ ( c_Orderings_Oord__class_Oless @ X0 @ X2 @ X1 )
| ~ ( class_Orderings_Olinorder @ X0 ) ),
inference(cnf,[status(esa)],[fact_not__less__iff__gr__or__eq]) ).
thf(zip_derived_cl2490,plain,
( ~ ( class_Orderings_Olinorder @ tc_RealDef_Oreal )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ v_t____ @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl29]) ).
thf(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
class_Orderings_Olinorder @ tc_RealDef_Oreal ).
thf(zip_derived_cl1520,plain,
class_Orderings_Olinorder @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Orderings_Olinorder]) ).
thf(zip_derived_cl2500,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ v_t____ @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ),
inference(demod,[status(thm)],[zip_derived_cl2490,zip_derived_cl1520]) ).
thf(zip_derived_cl4344,plain,
( ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ v_t____ )
= v_t____ ),
inference('sup-',[status(thm)],[zip_derived_cl946,zip_derived_cl2500]) ).
thf(zip_derived_cl34_001,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(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
class_RealVector_Oreal__normed__algebra__1 @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1547,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_cl14809,plain,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_t____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ),
inference(demod,[status(thm)],[zip_derived_cl14807,zip_derived_cl4344,zip_derived_cl34,zip_derived_cl1547]) ).
thf(fact_xt1_I5_J,axiom,
! [V_x: $i,V_y: $i,T_a: $i] :
( ( class_Orderings_Oorder @ T_a )
=> ( ( c_Orderings_Oord__class_Oless__eq @ T_a @ V_y @ V_x )
=> ( ( c_Orderings_Oord__class_Oless__eq @ T_a @ V_x @ V_y )
=> ( V_x = V_y ) ) ) ) ).
thf(zip_derived_cl119,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( class_Orderings_Oorder @ X2 )
| ~ ( c_Orderings_Oord__class_Oless__eq @ X2 @ X1 @ X0 )
| ~ ( c_Orderings_Oord__class_Oless__eq @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[fact_xt1_I5_J]) ).
thf(zip_derived_cl21544,plain,
( ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_t____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) )
| ~ ( class_Orderings_Oorder @ tc_RealDef_Oreal )
| ( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_t____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14809,zip_derived_cl119]) ).
thf(fact__096t_A_K_Acmod_Aw_A_060_061_A1_A_K_Acmod_Aw_096,axiom,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_t____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) ).
thf(zip_derived_cl1,plain,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_t____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ),
inference(cnf,[status(esa)],[fact__096t_A_K_Acmod_Aw_A_060_061_A1_A_K_Acmod_Aw_096]) ).
thf(zip_derived_cl31_002,plain,
! [X0: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_real__mult__1]) ).
thf(zip_derived_cl2519,plain,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_t____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl31]) ).
thf(arity_RealDef__Oreal__Orderings_Oorder,axiom,
class_Orderings_Oorder @ tc_RealDef_Oreal ).
thf(zip_derived_cl1528,plain,
class_Orderings_Oorder @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Orderings_Oorder]) ).
thf(zip_derived_cl21569,plain,
( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ v_t____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21544,zip_derived_cl2519,zip_derived_cl1528]) ).
thf(fact_real__mult__right__cancel,axiom,
! [V_b_2: $i,V_aa_2: $i,V_ca_2: $i] :
( ( V_ca_2
!= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
=> ( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ V_aa_2 ) @ V_ca_2 )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ V_b_2 ) @ V_ca_2 ) )
<=> ( V_aa_2 = V_b_2 ) ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ X2 ) @ X1 )
!= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ X0 ) @ X1 ) )
| ( X2 = X0 )
| ( X1
= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) ),
inference(cnf,[status(esa)],[fact_real__mult__right__cancel]) ).
thf(zip_derived_cl21776,plain,
! [X0: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ X0 ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) )
!= ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) )
| ( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ )
= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
| ( X0 = v_t____ ) ),
inference('sup-',[status(thm)],[zip_derived_cl21569,zip_derived_cl42]) ).
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_cl86,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(zip_derived_cl7837_003,plain,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( c_RealVector_Oof__real @ tc_Complex_Ocomplex @ v_t____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7827,zip_derived_cl34,zip_derived_cl1548]) ).
thf(fact_norm__ratiotest__lemma,axiom,
! [V_y: $i,V_x: $i,V_c: $i,T_a: $i] :
( ( class_RealVector_Oreal__normed__vector @ T_a )
=> ( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_c @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
=> ( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ T_a @ V_x ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ V_c ) @ ( c_RealVector_Onorm__class_Onorm @ T_a @ V_y ) ) )
=> ( V_x
= ( c_Groups_Ozero__class_Ozero @ T_a ) ) ) ) ) ).
thf(zip_derived_cl136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
| ~ ( class_RealVector_Oreal__normed__vector @ X1 )
| ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ X1 @ X2 ) @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ X0 ) @ ( c_RealVector_Onorm__class_Onorm @ X1 @ X3 ) ) )
| ( X2
= ( c_Groups_Ozero__class_Ozero @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_norm__ratiotest__lemma]) ).
thf(zip_derived_cl14805,plain,
( ( v_w____
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
| ~ ( class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex )
| ~ ( 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 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7837,zip_derived_cl136]) ).
thf(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1551,plain,
class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
thf(zip_derived_cl14821,plain,
( ( v_w____
= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) )
| ~ ( 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 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14805,zip_derived_cl1551]) ).
thf(fact_w0,axiom,
( v_w____
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ) ).
thf(zip_derived_cl7,plain,
( v_w____
!= ( c_Groups_Ozero__class_Ozero @ tc_Complex_Ocomplex ) ),
inference(cnf,[status(esa)],[fact_w0]) ).
thf(zip_derived_cl14822,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 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl14821,zip_derived_cl7]) ).
thf(zip_derived_cl14823,plain,
( ~ ( class_Orderings_Olinorder @ 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('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl14822]) ).
thf(zip_derived_cl1520_004,plain,
class_Orderings_Olinorder @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Orderings_Olinorder]) ).
thf(zip_derived_cl14836,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(demod,[status(thm)],[zip_derived_cl14823,zip_derived_cl1520]) ).
thf(fact_real__less__def,axiom,
! [V_y_2: $i,V_x_2: $i] :
( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ V_x_2 @ V_y_2 )
<=> ( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_x_2 @ V_y_2 )
& ( V_x_2 != V_y_2 ) ) ) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i] :
( ( X1 != X0 )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_real__less__def]) ).
thf(zip_derived_cl15085,plain,
( ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal )
!= ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) ),
inference('sup-',[status(thm)],[zip_derived_cl14836,zip_derived_cl110]) ).
thf(zip_derived_cl21842,plain,
! [X0: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ X0 ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) )
!= ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) )
| ( X0 = v_t____ ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21776,zip_derived_cl15085]) ).
thf(zip_derived_cl22169,plain,
( ( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ )
!= ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_w____ ) )
| ( ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal )
= v_t____ ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl21842]) ).
thf(zip_derived_cl22178,plain,
( ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal )
= v_t____ ),
inference(simplify,[status(thm)],[zip_derived_cl22169]) ).
thf(fact_t_I2_J,axiom,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ v_t____ @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ).
thf(zip_derived_cl14,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ v_t____ @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ),
inference(cnf,[status(esa)],[fact_t_I2_J]) ).
thf(zip_derived_cl110_005,plain,
! [X0: $i,X1: $i] :
( ( X1 != X0 )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_real__less__def]) ).
thf(zip_derived_cl2192,plain,
( v_t____
!= ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl110]) ).
thf(zip_derived_cl22179,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22178,zip_derived_cl2192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW261+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3QL402dnZp true
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 21:53:59 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 23.30/4.01 % Solved by fo/fo5.sh.
% 23.30/4.01 % done 2935 iterations in 3.219s
% 23.30/4.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 23.30/4.01 % SZS output start Refutation
% See solution above
% 23.30/4.01
% 23.30/4.01
% 23.30/4.01 % Terminating...
% 23.30/4.09 % Runner terminated.
% 23.30/4.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------