TSTP Solution File: SWW233+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW233+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.OUUIznNxB2 true
% Computer : n013.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 01:41:15 EDT 2023
% Result : Theorem 73.50s 11.21s
% Output : Refutation 73.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 30
% Syntax : Number of formulae : 80 ( 27 unt; 15 typ; 0 def)
% Number of atoms : 128 ( 21 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 505 ( 36 ~; 49 |; 1 &; 406 @)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 72 ( 0 ^; 72 !; 0 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Groups_Oone__class_Oone_type,type,
c_Groups_Oone__class_Oone: $i > $i ).
thf(v_r_____type,type,
v_r____: $i ).
thf(c_Orderings_Oord__class_Oless_type,type,
c_Orderings_Oord__class_Oless: $i > $i > $i > $o ).
thf(tc_RealDef_Oreal_type,type,
tc_RealDef_Oreal: $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(v_z_____type,type,
v_z____: $i ).
thf(c_Groups_Oabs__class_Oabs_type,type,
c_Groups_Oabs__class_Oabs: $i > $i > $i ).
thf(class_Orderings_Opreorder_type,type,
class_Orderings_Opreorder: $i > $o ).
thf(c_Groups_Oplus__class_Oplus_type,type,
c_Groups_Oplus__class_Oplus: $i > $i > $i > $i ).
thf(class_Groups_Oordered__ab__group__add__abs_type,type,
class_Groups_Oordered__ab__group__add__abs: $i > $o ).
thf(class_RealVector_Oreal__normed__vector_type,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
thf(c_Groups_Ozero__class_Ozero_type,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
thf(c_Orderings_Oord__class_Oless__eq_type,type,
c_Orderings_Oord__class_Oless__eq: $i > $i > $i > $o ).
thf(class_Rings_Ocomm__semiring__1_type,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
thf(conj_0,conjecture,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ v_r____ @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ v_r____ @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl1717,plain,
~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ v_r____ @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_h,axiom,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ v_r____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ) ).
thf(zip_derived_cl3,plain,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ v_r____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ),
inference(cnf,[status(esa)],[fact_h]) ).
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_cl5,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(fact_abs__of__nonneg,axiom,
! [V_a: $i,T_a: $i] :
( ( class_Groups_Oordered__ab__group__add__abs @ T_a )
=> ( ( c_Orderings_Oord__class_Oless__eq @ T_a @ ( c_Groups_Ozero__class_Ozero @ T_a ) @ V_a )
=> ( ( c_Groups_Oabs__class_Oabs @ T_a @ V_a )
= V_a ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ~ ( c_Orderings_Oord__class_Oless__eq @ X0 @ ( c_Groups_Ozero__class_Ozero @ X0 ) @ X1 )
| ( ( c_Groups_Oabs__class_Oabs @ X0 @ X1 )
= X1 )
| ~ ( class_Groups_Oordered__ab__group__add__abs @ X0 ) ),
inference(cnf,[status(esa)],[fact_abs__of__nonneg]) ).
thf(zip_derived_cl3156,plain,
! [X0: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
| ~ ( class_Groups_Oordered__ab__group__add__abs @ tc_RealDef_Oreal )
| ( ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl38]) ).
thf(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs,axiom,
class_Groups_Oordered__ab__group__add__abs @ tc_RealDef_Oreal ).
thf(zip_derived_cl1568,plain,
class_Groups_Oordered__ab__group__add__abs @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs]) ).
thf(zip_derived_cl3182,plain,
! [X0: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
| ( ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 )
= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3156,zip_derived_cl1568]) ).
thf(fact_norm__ge__zero,axiom,
! [V_x: $i,T_a: $i] :
( ( class_RealVector_Oreal__normed__vector @ T_a )
=> ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ T_a @ V_x ) ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ X0 @ X1 ) )
| ~ ( class_RealVector_Oreal__normed__vector @ X0 ) ),
inference(cnf,[status(esa)],[fact_norm__ge__zero]) ).
thf(zip_derived_cl5_001,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(zip_derived_cl5_002,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(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_cl6,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_cl1723,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('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl6]) ).
thf(zip_derived_cl1731,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 @ X1 @ X2 )
| ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1723]) ).
thf(zip_derived_cl1717_003,plain,
~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ v_r____ @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1754,plain,
! [X0: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ v_r____ )
| ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1731,zip_derived_cl1717]) ).
thf(fact_real__le__antisym,axiom,
! [V_w: $i,V_z: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_z @ V_w )
=> ( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_w @ V_z )
=> ( V_z = V_w ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ X1 )
| ( X1 = X0 )
| ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_real__le__antisym]) ).
thf(zip_derived_cl3131,plain,
! [X0: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ v_r____ )
| ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ) )
| ( X0
= ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1754,zip_derived_cl7]) ).
thf(zip_derived_cl4085,plain,
( ~ ( class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex )
| ( ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal )
= ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ) )
| ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ v_r____ ) ),
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl3131]) ).
thf(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1627,plain,
class_RealVector_Oreal__normed__vector @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
thf(zip_derived_cl4094,plain,
( ( ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal )
= ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ) )
| ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ v_r____ ) ),
inference(demod,[status(thm)],[zip_derived_cl4085,zip_derived_cl1627]) ).
thf(zip_derived_cl38_004,plain,
! [X0: $i,X1: $i] :
( ~ ( c_Orderings_Oord__class_Oless__eq @ X0 @ ( c_Groups_Ozero__class_Ozero @ X0 ) @ X1 )
| ( ( c_Groups_Oabs__class_Oabs @ X0 @ X1 )
= X1 )
| ~ ( class_Groups_Oordered__ab__group__add__abs @ X0 ) ),
inference(cnf,[status(esa)],[fact_abs__of__nonneg]) ).
thf(zip_derived_cl4101,plain,
( ( ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal )
= ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ) )
| ~ ( class_Groups_Oordered__ab__group__add__abs @ tc_RealDef_Oreal )
| ( ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ v_r____ )
= v_r____ ) ),
inference('sup-',[status(thm)],[zip_derived_cl4094,zip_derived_cl38]) ).
thf(zip_derived_cl1568_005,plain,
class_Groups_Oordered__ab__group__add__abs @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs]) ).
thf(zip_derived_cl4115,plain,
( ( ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal )
= ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ) )
| ( ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ v_r____ )
= v_r____ ) ),
inference(demod,[status(thm)],[zip_derived_cl4101,zip_derived_cl1568]) ).
thf(zip_derived_cl1717_006,plain,
~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ v_r____ @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4206,plain,
( ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ v_r____ @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
| ( ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ v_r____ )
= v_r____ ) ),
inference('sup-',[status(thm)],[zip_derived_cl4115,zip_derived_cl1717]) ).
thf(zip_derived_cl12130,plain,
( ( ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ v_r____ )
= v_r____ )
| ( ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ v_r____ )
= v_r____ ) ),
inference('sup-',[status(thm)],[zip_derived_cl3182,zip_derived_cl4206]) ).
thf(zip_derived_cl12186,plain,
( ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ v_r____ )
= v_r____ ),
inference(simplify,[status(thm)],[zip_derived_cl12130]) ).
thf(zip_derived_cl12297,plain,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ v_r____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl12186]) ).
thf(zip_derived_cl5_007,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(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_cl286,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( c_Orderings_Oord__class_Oless__eq @ X0 @ X1 @ X2 )
| ( c_Orderings_Oord__class_Oless__eq @ X0 @ X2 @ X1 )
| ( c_Orderings_Oord__class_Oless @ X0 @ X1 @ X2 )
| ~ ( class_Orderings_Opreorder @ X0 ) ),
inference(cnf,[status(esa)],[fact_less__le__not__le]) ).
thf(zip_derived_cl30888,plain,
! [X0: $i,X1: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ X1 )
| ~ ( class_Orderings_Opreorder @ tc_RealDef_Oreal )
| ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X1 @ X0 )
| ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl286]) ).
thf(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder @ tc_RealDef_Oreal ).
thf(zip_derived_cl1600,plain,
class_Orderings_Opreorder @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Orderings_Opreorder]) ).
thf(zip_derived_cl30983,plain,
! [X0: $i,X1: $i] :
( ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ X1 )
| ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X1 @ X0 )
| ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl30888,zip_derived_cl1600]) ).
thf(zip_derived_cl30984,plain,
! [X0: $i,X1: $i] :
( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X1 @ X0 )
| ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl30983]) ).
thf(zip_derived_cl12186_008,plain,
( ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ v_r____ )
= v_r____ ),
inference(simplify,[status(thm)],[zip_derived_cl12130]) ).
thf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [V_c: $i,V_a: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__1 @ T_a )
=> ( ( c_Groups_Oplus__class_Oplus @ T_a @ V_a @ V_c )
= ( c_Groups_Oplus__class_Oplus @ T_a @ V_c @ V_a ) ) ) ).
thf(zip_derived_cl436,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( c_Groups_Oplus__class_Oplus @ X0 @ X2 @ X1 )
= ( c_Groups_Oplus__class_Oplus @ X0 @ X1 @ X2 ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J]) ).
thf(fact_abs__add__one__not__less__self,axiom,
! [V_x: $i] :
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ V_x ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) @ V_x ) ).
thf(zip_derived_cl442,plain,
! [X0: $i] :
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) @ X0 ),
inference(cnf,[status(esa)],[fact_abs__add__one__not__less__self]) ).
thf(zip_derived_cl56656,plain,
! [X0: $i] :
( ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 ) ) @ X0 )
| ~ ( class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal ) ),
inference('sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl442]) ).
thf(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal ).
thf(zip_derived_cl1593,plain,
class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Rings_Ocomm__semiring__1]) ).
thf(zip_derived_cl57219,plain,
! [X0: $i] :
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 ) ) @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl56656,zip_derived_cl1593]) ).
thf(zip_derived_cl61716,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ v_r____ ) @ v_r____ ),
inference('sup-',[status(thm)],[zip_derived_cl12186,zip_derived_cl57219]) ).
thf(zip_derived_cl61744,plain,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ v_r____ @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ v_r____ ),
inference('sup-',[status(thm)],[zip_derived_cl30984,zip_derived_cl61716]) ).
thf(fact_order__trans,axiom,
! [V_z: $i,V_y: $i,V_x: $i,T_a: $i] :
( ( class_Orderings_Opreorder @ T_a )
=> ( ( c_Orderings_Oord__class_Oless__eq @ T_a @ V_x @ V_y )
=> ( ( c_Orderings_Oord__class_Oless__eq @ T_a @ V_y @ V_z )
=> ( c_Orderings_Oord__class_Oless__eq @ T_a @ V_x @ V_z ) ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( c_Orderings_Oord__class_Oless__eq @ X0 @ X1 @ X2 )
| ( c_Orderings_Oord__class_Oless__eq @ X0 @ X1 @ X3 )
| ~ ( c_Orderings_Oord__class_Oless__eq @ X0 @ X2 @ X3 )
| ~ ( class_Orderings_Opreorder @ X0 ) ),
inference(cnf,[status(esa)],[fact_order__trans]) ).
thf(zip_derived_cl61784,plain,
! [X0: $i] :
( ~ ( class_Orderings_Opreorder @ tc_RealDef_Oreal )
| ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ v_r____ ) @ X0 )
| ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ v_r____ @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl61744,zip_derived_cl22]) ).
thf(zip_derived_cl1600_009,plain,
class_Orderings_Opreorder @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Orderings_Opreorder]) ).
thf(zip_derived_cl61846,plain,
! [X0: $i] :
( ~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) @ v_r____ ) @ X0 )
| ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ v_r____ @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl61784,zip_derived_cl1600]) ).
thf(zip_derived_cl63131,plain,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ v_r____ @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ),
inference('sup-',[status(thm)],[zip_derived_cl12297,zip_derived_cl61846]) ).
thf(zip_derived_cl63151,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1717,zip_derived_cl63131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWW233+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OUUIznNxB2 true
% 0.14/0.35 % Computer : n013.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 : Sun Aug 27 21:10:47 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 73.50/11.21 % Solved by fo/fo5.sh.
% 73.50/11.21 % done 7332 iterations in 10.368s
% 73.50/11.21 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 73.50/11.21 % SZS output start Refutation
% See solution above
% 73.50/11.21
% 73.50/11.21
% 73.50/11.21 % Terminating...
% 73.50/11.27 % Runner terminated.
% 73.50/11.28 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------