TSTP Solution File: SWW236+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW236+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.OD2HJnYeyV true
% Computer : n019.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 01:41:16 EDT 2023
% Result : Theorem 205.04s 29.96s
% Output : Refutation 205.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 34
% Syntax : Number of formulae : 71 ( 33 unt; 19 typ; 0 def)
% Number of atoms : 80 ( 13 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 590 ( 28 ~; 18 |; 0 &; 534 @)
% ( 1 <=>; 9 =>; 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; 7 con; 0-3 aty)
% Number of variables : 53 ( 0 ^; 53 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
thf(tc_RealDef_Oreal_type,type,
tc_RealDef_Oreal: $i ).
thf(class_Rings_Ocomm__semiring__1_type,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
thf(v_c_____type,type,
v_c____: $i ).
thf(tc_Complex_Ocomplex_type,type,
tc_Complex_Ocomplex: $i ).
thf(v_z_____type,type,
v_z____: $i ).
thf(c_Groups_Oplus__class_Oplus_type,type,
c_Groups_Oplus__class_Oplus: $i > $i > $i > $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(c_Orderings_Oord__class_Oless__eq_type,type,
c_Orderings_Oord__class_Oless__eq: $i > $i > $i > $o ).
thf(c_Orderings_Oord__class_Oless_type,type,
c_Orderings_Oord__class_Oless: $i > $i > $i > $o ).
thf(c_Rings_Oinverse__class_Odivide_type,type,
c_Rings_Oinverse__class_Odivide: $i > $i > $i > $i ).
thf(v_aa_____type,type,
v_aa____: $i ).
thf(class_Orderings_Olinorder_type,type,
class_Orderings_Olinorder: $i > $o ).
thf(c_RealVector_Onorm__class_Onorm_type,type,
c_RealVector_Onorm__class_Onorm: $i > $i > $i ).
thf(c_Groups_Otimes__class_Otimes_type,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
thf(c_Groups_Oabs__class_Oabs_type,type,
c_Groups_Oabs__class_Oabs: $i > $i > $i ).
thf(class_Fields_Olinordered__field_type,type,
class_Fields_Olinordered__field: $i > $o ).
thf(c_Groups_Ozero__class_Ozero_type,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
thf(v_da_____type,type,
v_da____: $i ).
thf(class_RealVector_Oreal__normed__div__algebra_type,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
thf(arity_RealDef__Oreal__Fields_Olinordered__field,axiom,
class_Fields_Olinordered__field @ tc_RealDef_Oreal ).
thf(zip_derived_cl1631,plain,
class_Fields_Olinordered__field @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Fields_Olinordered__field]) ).
thf(fact_pos__less__divide__eq,axiom,
! [V_b_2: $i,V_ab_2: $i,V_ca_2: $i,T_a: $i] :
( ( class_Fields_Olinordered__field @ T_a )
=> ( ( c_Orderings_Oord__class_Oless @ T_a @ ( c_Groups_Ozero__class_Ozero @ T_a ) @ V_ca_2 )
=> ( ( c_Orderings_Oord__class_Oless @ T_a @ V_ab_2 @ ( c_Rings_Oinverse__class_Odivide @ T_a @ V_b_2 @ V_ca_2 ) )
<=> ( c_Orderings_Oord__class_Oless @ T_a @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ V_ab_2 ) @ V_ca_2 ) @ V_b_2 ) ) ) ) ).
thf(zip_derived_cl439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( c_Orderings_Oord__class_Oless @ X0 @ ( c_Groups_Ozero__class_Ozero @ X0 ) @ X1 )
| ~ ( c_Orderings_Oord__class_Oless @ X0 @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ X2 ) @ X1 ) @ X3 )
| ( c_Orderings_Oord__class_Oless @ X0 @ X2 @ ( c_Rings_Oinverse__class_Odivide @ X0 @ X3 @ X1 ) )
| ~ ( class_Fields_Olinordered__field @ X0 ) ),
inference(cnf,[status(esa)],[fact_pos__less__divide__eq]) ).
thf(zip_derived_cl5986,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X2 @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ X1 @ X0 ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ X2 ) @ X0 ) @ X1 )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1631,zip_derived_cl439]) ).
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_cl472,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_h,axiom,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ v_da____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ) ).
thf(zip_derived_cl2,plain,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ v_da____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ),
inference(cnf,[status(esa)],[fact_h]) ).
thf(fact_real__norm__def,axiom,
! [V_r: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ V_r )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ V_r ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ X0 )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 ) ),
inference(cnf,[status(esa)],[fact_real__norm__def]) ).
thf(zip_derived_cl6602,plain,
c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ v_da____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl54]) ).
thf(fact_leD,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_cl275,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_leD]) ).
thf(zip_derived_cl19065,plain,
( ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ v_da____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ) ) )
| ~ ( class_Orderings_Olinorder @ tc_RealDef_Oreal ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6602,zip_derived_cl275]) ).
thf(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
class_Orderings_Olinorder @ tc_RealDef_Oreal ).
thf(zip_derived_cl1647,plain,
class_Orderings_Olinorder @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Orderings_Olinorder]) ).
thf(zip_derived_cl19088,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ v_da____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19065,zip_derived_cl1647]) ).
thf(zip_derived_cl25453,plain,
( ~ ( class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ v_da____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl472,zip_derived_cl19088]) ).
thf(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal ).
thf(zip_derived_cl1638,plain,
class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Rings_Ocomm__semiring__1]) ).
thf(zip_derived_cl25836,plain,
~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ) @ ( c_Rings_Oinverse__class_Odivide @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ v_da____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25453,zip_derived_cl1638]) ).
thf(zip_derived_cl125698,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_c____ ) )
| ~ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_z____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_c____ ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ v_da____ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5986,zip_derived_cl25836]) ).
thf(fact__0960_A_060_Acmod_Ac_096,axiom,
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_c____ ) ).
thf(zip_derived_cl225,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_c____ ),
inference(cnf,[status(esa)],[fact__0960_A_060_Acmod_Ac_096]) ).
thf(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
class_RealVector_Oreal__normed__div__algebra @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1667,plain,
class_RealVector_Oreal__normed__div__algebra @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra]) ).
thf(fact_norm__mult,axiom,
! [V_y: $i,V_x: $i,T_a: $i] :
( ( class_RealVector_Oreal__normed__div__algebra @ T_a )
=> ( ( 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_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( 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__div__algebra @ X0 ) ),
inference(cnf,[status(esa)],[fact_norm__mult]) ).
thf(zip_derived_cl4491,plain,
! [X0: $i,X1: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ X1 ) @ X0 ) )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_RealDef_Oreal ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X1 ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1667,zip_derived_cl13]) ).
thf(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex ).
thf(zip_derived_cl1683,plain,
class_Rings_Ocomm__semiring__1 @ tc_Complex_Ocomplex,
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
thf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
! [V_b: $i,V_a: $i,T_a: $i] :
( ( class_Rings_Ocomm__semiring__1 @ T_a )
=> ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ V_a ) @ V_b )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ T_a ) @ V_b ) @ V_a ) ) ) ).
thf(zip_derived_cl466,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ X2 ) @ X1 )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ X0 ) @ X1 ) @ X2 ) )
| ~ ( class_Rings_Ocomm__semiring__1 @ X0 ) ),
inference(cnf,[status(esa)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J]) ).
thf(zip_derived_cl23670,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ X1 ) @ X0 )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ X0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1683,zip_derived_cl466]) ).
thf(zip_derived_cl472_001,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_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_cl280,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__eq @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ v_da____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_z____ ) @ v_c____ ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ v_da____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_z____ ) @ v_c____ ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl1764,plain,
~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ v_da____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_z____ ) @ v_c____ ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54_002,plain,
! [X0: $i] :
( ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ X0 )
= ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ X0 ) ),
inference(cnf,[status(esa)],[fact_real__norm__def]) ).
thf(zip_derived_cl6603,plain,
~ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ v_da____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_z____ ) @ v_c____ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1764,zip_derived_cl54]) ).
thf(zip_derived_cl14283,plain,
( ~ ( class_Orderings_Olinorder @ tc_RealDef_Oreal )
| ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_z____ ) @ v_c____ ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ v_da____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl6603]) ).
thf(zip_derived_cl1647_003,plain,
class_Orderings_Olinorder @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Orderings_Olinorder]) ).
thf(zip_derived_cl14308,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_z____ ) @ v_c____ ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ v_da____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) ),
inference(demod,[status(thm)],[zip_derived_cl14283,zip_derived_cl1647]) ).
thf(zip_derived_cl25452,plain,
( ~ ( class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal )
| ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_z____ ) @ v_c____ ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ v_da____ ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl472,zip_derived_cl14308]) ).
thf(zip_derived_cl1638_004,plain,
class_Rings_Ocomm__semiring__1 @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Rings_Ocomm__semiring__1]) ).
thf(zip_derived_cl25835,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_z____ ) @ v_c____ ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ v_da____ ) ),
inference(demod,[status(thm)],[zip_derived_cl25452,zip_derived_cl1638]) ).
thf(zip_derived_cl23670_005,plain,
! [X0: $i,X1: $i] :
( ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ X1 ) @ X0 )
= ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ X0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1683,zip_derived_cl466]) ).
thf(zip_derived_cl95909,plain,
c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ ( hAPP @ ( hAPP @ ( c_Groups_Otimes__class_Otimes @ tc_Complex_Ocomplex ) @ v_c____ ) @ v_z____ ) ) @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal @ ( c_RealVector_Onorm__class_Onorm @ tc_Complex_Ocomplex @ v_aa____ ) @ ( c_RealVector_Onorm__class_Onorm @ tc_RealDef_Oreal @ v_da____ ) ),
inference(demod,[status(thm)],[zip_derived_cl25835,zip_derived_cl23670]) ).
thf(zip_derived_cl125804,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl125698,zip_derived_cl225,zip_derived_cl4491,zip_derived_cl23670,zip_derived_cl95909]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW236+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OD2HJnYeyV true
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 21:05:43 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.20/0.67 % Total configuration time : 435
% 0.20/0.67 % Estimated wc time : 1092
% 0.20/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 205.04/29.96 % Solved by fo/fo6_bce.sh.
% 205.04/29.96 % BCE start: 1765
% 205.04/29.96 % BCE eliminated: 19
% 205.04/29.96 % PE start: 1746
% 205.04/29.96 logic: eq
% 205.04/29.96 % PE eliminated: 39
% 205.04/29.96 % done 4526 iterations in 29.191s
% 205.04/29.96 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 205.04/29.96 % SZS output start Refutation
% See solution above
% 205.04/29.96
% 205.04/29.96
% 205.04/29.96 % Terminating...
% 205.04/30.03 % Runner terminated.
% 205.04/30.04 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------