TSTP Solution File: SWW207+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW207+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.f5bIxTwD2F true
% Computer : n018.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 01:41:10 EDT 2023
% Result : Theorem 152.66s 22.67s
% Output : Refutation 152.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 51
% Syntax : Number of formulae : 144 ( 84 unt; 30 typ; 0 def)
% Number of atoms : 159 ( 67 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 876 ( 40 ~; 29 |; 4 &; 791 @)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 30 usr; 10 con; 0-2 aty)
% Number of variables : 104 ( 0 ^; 102 !; 2 ?; 104 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_Complex_Ocomplex_Ocomplex__size_type,type,
c_Complex_Ocomplex_Ocomplex__size: $i > $i ).
thf(tc_Nat_Onat_type,type,
tc_Nat_Onat: $i ).
thf(c_Orderings_Oord__class_Oless__eq_type,type,
c_Orderings_Oord__class_Oless__eq: $i > $i > $i ).
thf(c_Complex_ORe_type,type,
c_Complex_ORe: $i ).
thf(c_Complex_Ocis_type,type,
c_Complex_Ocis: $i > $i ).
thf(c_RComplete_Onatfloor_type,type,
c_RComplete_Onatfloor: $i > $i ).
thf(c_Orderings_Oord__class_Oless_type,type,
c_Orderings_Oord__class_Oless: $i > $i > $i ).
thf(v_ga_____type,type,
v_ga____: $i ).
thf(c_Transcendental_Ocos_type,type,
c_Transcendental_Ocos: $i > $i ).
thf(c_Groups_Oone__class_Oone_type,type,
c_Groups_Oone__class_Oone: $i > $i ).
thf(sk__75_type,type,
sk__75: $i > $i ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(c_Complex_Ocomplex_OComplex_type,type,
c_Complex_Ocomplex_OComplex: $i > $i > $i ).
thf(c_Groups_Oplus__class_Oplus_type,type,
c_Groups_Oplus__class_Oplus: $i > $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(v_r_type,type,
v_r: $i ).
thf('#_fresh_sk3_type',type,
'#_fresh_sk3': $i > $i ).
thf(class_Orderings_Oorder_type,type,
class_Orderings_Oorder: $i > $o ).
thf('#_fresh_sk2_type',type,
'#_fresh_sk2': $i > $i ).
thf(c_Groups_Ozero__class_Ozero_type,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
thf(c_Groups_Oabs__class_Oabs_type,type,
c_Groups_Oabs__class_Oabs: $i > $i > $i ).
thf(class_Orderings_Olinorder_type,type,
class_Orderings_Olinorder: $i > $o ).
thf(c_RealDef_Oreal_type,type,
c_RealDef_Oreal: $i > $i > $i ).
thf(class_Groups_Oordered__ab__group__add__abs_type,type,
class_Groups_Oordered__ab__group__add__abs: $i > $o ).
thf(v_s_type,type,
v_s: $i ).
thf(c_Complex_Oii_type,type,
c_Complex_Oii: $i ).
thf(tc_RealDef_Oreal_type,type,
tc_RealDef_Oreal: $i ).
thf(v_f_____type,type,
v_f____: $i ).
thf(c_Transcendental_Osin_type,type,
c_Transcendental_Osin: $i > $i ).
thf(c_Complex_OIm_type,type,
c_Complex_OIm: $i ).
thf(fact_complex__surj,axiom,
! [V_z: $i] :
( ( c_Complex_Ocomplex_OComplex @ ( hAPP @ c_Complex_ORe @ V_z ) @ ( hAPP @ c_Complex_OIm @ V_z ) )
= V_z ) ).
thf(zip_derived_cl1311,plain,
! [X0: $i] :
( ( c_Complex_Ocomplex_OComplex @ ( hAPP @ c_Complex_ORe @ X0 ) @ ( hAPP @ c_Complex_OIm @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[fact_complex__surj]) ).
thf(zip_derived_cl1311_001,plain,
! [X0: $i] :
( ( c_Complex_Ocomplex_OComplex @ ( hAPP @ c_Complex_ORe @ X0 ) @ ( hAPP @ c_Complex_OIm @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[fact_complex__surj]) ).
thf(fact_complex_Oinject,axiom,
! [V_real2_H_2: $i,V_real1_H_2: $i,V_real2_2: $i,V_real1_2: $i] :
( ( ( c_Complex_Ocomplex_OComplex @ V_real1_2 @ V_real2_2 )
= ( c_Complex_Ocomplex_OComplex @ V_real1_H_2 @ V_real2_H_2 ) )
<=> ( ( V_real1_2 = V_real1_H_2 )
& ( V_real2_2 = V_real2_H_2 ) ) ) ).
thf(zip_derived_cl1312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ( ( c_Complex_Ocomplex_OComplex @ X1 @ X3 )
!= ( c_Complex_Ocomplex_OComplex @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_complex_Oinject]) ).
thf(zip_derived_cl4256,plain,
! [X1: $i,X3: $i] :
( ( '#_fresh_sk2' @ ( c_Complex_Ocomplex_OComplex @ X1 @ X3 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl1312]) ).
thf(zip_derived_cl5820,plain,
! [X0: $i] :
( ( '#_fresh_sk2' @ X0 )
= ( hAPP @ c_Complex_ORe @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1311,zip_derived_cl4256]) ).
thf(zip_derived_cl5850,plain,
! [X0: $i] :
( ( c_Complex_Ocomplex_OComplex @ ( '#_fresh_sk2' @ X0 ) @ ( hAPP @ c_Complex_OIm @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl1311,zip_derived_cl5820]) ).
thf(zip_derived_cl5850_002,plain,
! [X0: $i] :
( ( c_Complex_Ocomplex_OComplex @ ( '#_fresh_sk2' @ X0 ) @ ( hAPP @ c_Complex_OIm @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl1311,zip_derived_cl5820]) ).
thf(zip_derived_cl1313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ( ( c_Complex_Ocomplex_OComplex @ X3 @ X1 )
!= ( c_Complex_Ocomplex_OComplex @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_complex_Oinject]) ).
thf(zip_derived_cl4272,plain,
! [X1: $i,X3: $i] :
( ( '#_fresh_sk3' @ ( c_Complex_Ocomplex_OComplex @ X3 @ X1 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl1313]) ).
thf(zip_derived_cl20143,plain,
! [X0: $i] :
( ( '#_fresh_sk3' @ X0 )
= ( hAPP @ c_Complex_OIm @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl5850,zip_derived_cl4272]) ).
thf(zip_derived_cl20186,plain,
! [X0: $i] :
( ( c_Complex_Ocomplex_OComplex @ ( '#_fresh_sk2' @ X0 ) @ ( '#_fresh_sk3' @ X0 ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl5850,zip_derived_cl20143]) ).
thf(fact_complex_Osize_I1_J,axiom,
! [V_real2: $i,V_real1: $i] :
( ( c_Complex_Ocomplex_Ocomplex__size @ ( c_Complex_Ocomplex_OComplex @ V_real1 @ V_real2 ) )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ) ).
thf(zip_derived_cl1362,plain,
! [X0: $i,X1: $i] :
( ( c_Complex_Ocomplex_Ocomplex__size @ ( c_Complex_Ocomplex_OComplex @ X0 @ X1 ) )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ),
inference(cnf,[status(esa)],[fact_complex_Osize_I1_J]) ).
thf(zip_derived_cl20426,plain,
! [X0: $i] :
( ( c_Complex_Ocomplex_Ocomplex__size @ X0 )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ),
inference('sup+',[status(thm)],[zip_derived_cl20186,zip_derived_cl1362]) ).
thf(zip_derived_cl20426_003,plain,
! [X0: $i] :
( ( c_Complex_Ocomplex_Ocomplex__size @ X0 )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ),
inference('sup+',[status(thm)],[zip_derived_cl20186,zip_derived_cl1362]) ).
thf(zip_derived_cl20578,plain,
! [X0: $i,X1: $i] :
( ( c_Complex_Ocomplex_Ocomplex__size @ X1 )
= ( c_Complex_Ocomplex_Ocomplex__size @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20426,zip_derived_cl20426]) ).
thf(fact_real__of__nat__zero,axiom,
( ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) ).
thf(zip_derived_cl782,plain,
( ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) )
= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ),
inference(cnf,[status(esa)],[fact_real__of__nat__zero]) ).
thf(fact_i__def,axiom,
( c_Complex_Oii
= ( c_Complex_Ocomplex_OComplex @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ) ).
thf(zip_derived_cl1325,plain,
( c_Complex_Oii
= ( c_Complex_Ocomplex_OComplex @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ),
inference(cnf,[status(esa)],[fact_i__def]) ).
thf(zip_derived_cl1362_004,plain,
! [X0: $i,X1: $i] :
( ( c_Complex_Ocomplex_Ocomplex__size @ ( c_Complex_Ocomplex_OComplex @ X0 @ X1 ) )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ),
inference(cnf,[status(esa)],[fact_complex_Osize_I1_J]) ).
thf(zip_derived_cl2519,plain,
( ( c_Complex_Ocomplex_Ocomplex__size @ c_Complex_Oii )
= ( c_Groups_Ozero__class_Ozero @ tc_Nat_Onat ) ),
inference('sup+',[status(thm)],[zip_derived_cl1325,zip_derived_cl1362]) ).
thf(zip_derived_cl2531,plain,
( ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Complex_Ocomplex_Ocomplex__size @ c_Complex_Oii ) )
= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ),
inference(demod,[status(thm)],[zip_derived_cl782,zip_derived_cl2519]) ).
thf(zip_derived_cl1325_005,plain,
( c_Complex_Oii
= ( c_Complex_Ocomplex_OComplex @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ),
inference(cnf,[status(esa)],[fact_i__def]) ).
thf(zip_derived_cl4256_006,plain,
! [X1: $i,X3: $i] :
( ( '#_fresh_sk2' @ ( c_Complex_Ocomplex_OComplex @ X1 @ X3 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl1312]) ).
thf(zip_derived_cl4324,plain,
( ( '#_fresh_sk2' @ c_Complex_Oii )
= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ),
inference('sup+',[status(thm)],[zip_derived_cl1325,zip_derived_cl4256]) ).
thf(zip_derived_cl4370,plain,
( ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Complex_Ocomplex_Ocomplex__size @ c_Complex_Oii ) )
= ( '#_fresh_sk2' @ c_Complex_Oii ) ),
inference(demod,[status(thm)],[zip_derived_cl2531,zip_derived_cl4324]) ).
thf(zip_derived_cl20985,plain,
! [X0: $i] :
( ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Complex_Ocomplex_Ocomplex__size @ X0 ) )
= ( '#_fresh_sk2' @ c_Complex_Oii ) ),
inference('sup+',[status(thm)],[zip_derived_cl20578,zip_derived_cl4370]) ).
thf(fact_natfloor__real__of__nat,axiom,
! [V_n: $i] :
( ( c_RComplete_Onatfloor @ ( c_RealDef_Oreal @ tc_Nat_Onat @ V_n ) )
= V_n ) ).
thf(zip_derived_cl775,plain,
! [X0: $i] :
( ( c_RComplete_Onatfloor @ ( c_RealDef_Oreal @ tc_Nat_Onat @ X0 ) )
= X0 ),
inference(cnf,[status(esa)],[fact_natfloor__real__of__nat]) ).
thf(zip_derived_cl21841,plain,
! [X0: $i] :
( ( c_RComplete_Onatfloor @ ( '#_fresh_sk2' @ c_Complex_Oii ) )
= ( c_Complex_Ocomplex_Ocomplex__size @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl20985,zip_derived_cl775]) ).
thf(fact_real__natfloor__add__one__gt,axiom,
! [V_x: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ V_x ) @ ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_RComplete_Onatfloor @ V_x ) ) ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ) ) ).
thf(zip_derived_cl810,plain,
! [X0: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X0 ) @ ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_RComplete_Onatfloor @ X0 ) ) ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ) ),
inference(cnf,[status(esa)],[fact_real__natfloor__add__one__gt]) ).
thf(fact_cos__zero,axiom,
( ( c_Transcendental_Ocos @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
= ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ).
thf(zip_derived_cl984,plain,
( ( c_Transcendental_Ocos @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) )
= ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ),
inference(cnf,[status(esa)],[fact_cos__zero]) ).
thf(zip_derived_cl4324_007,plain,
( ( '#_fresh_sk2' @ c_Complex_Oii )
= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ),
inference('sup+',[status(thm)],[zip_derived_cl1325,zip_derived_cl4256]) ).
thf(zip_derived_cl4346,plain,
( ( c_Transcendental_Ocos @ ( '#_fresh_sk2' @ c_Complex_Oii ) )
= ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ),
inference(demod,[status(thm)],[zip_derived_cl984,zip_derived_cl4324]) ).
thf(fact_cis__def,axiom,
! [V_a: $i] :
( ( c_Complex_Ocis @ V_a )
= ( c_Complex_Ocomplex_OComplex @ ( c_Transcendental_Ocos @ V_a ) @ ( c_Transcendental_Osin @ V_a ) ) ) ).
thf(zip_derived_cl1330,plain,
! [X0: $i] :
( ( c_Complex_Ocis @ X0 )
= ( c_Complex_Ocomplex_OComplex @ ( c_Transcendental_Ocos @ X0 ) @ ( c_Transcendental_Osin @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_cis__def]) ).
thf(zip_derived_cl4256_008,plain,
! [X1: $i,X3: $i] :
( ( '#_fresh_sk2' @ ( c_Complex_Ocomplex_OComplex @ X1 @ X3 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl1312]) ).
thf(zip_derived_cl4326,plain,
! [X0: $i] :
( ( '#_fresh_sk2' @ ( c_Complex_Ocis @ X0 ) )
= ( c_Transcendental_Ocos @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1330,zip_derived_cl4256]) ).
thf(zip_derived_cl4514,plain,
( ( '#_fresh_sk2' @ ( c_Complex_Ocis @ ( '#_fresh_sk2' @ c_Complex_Oii ) ) )
= ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ),
inference(demod,[status(thm)],[zip_derived_cl4346,zip_derived_cl4326]) ).
thf(zip_derived_cl1325_009,plain,
( c_Complex_Oii
= ( c_Complex_Ocomplex_OComplex @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ),
inference(cnf,[status(esa)],[fact_i__def]) ).
thf(zip_derived_cl4324_010,plain,
( ( '#_fresh_sk2' @ c_Complex_Oii )
= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ),
inference('sup+',[status(thm)],[zip_derived_cl1325,zip_derived_cl4256]) ).
thf(zip_derived_cl4354,plain,
( c_Complex_Oii
= ( c_Complex_Ocomplex_OComplex @ ( '#_fresh_sk2' @ c_Complex_Oii ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1325,zip_derived_cl4324]) ).
thf(zip_derived_cl4514_011,plain,
( ( '#_fresh_sk2' @ ( c_Complex_Ocis @ ( '#_fresh_sk2' @ c_Complex_Oii ) ) )
= ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ),
inference(demod,[status(thm)],[zip_derived_cl4346,zip_derived_cl4326]) ).
thf(zip_derived_cl5326,plain,
( c_Complex_Oii
= ( c_Complex_Ocomplex_OComplex @ ( '#_fresh_sk2' @ c_Complex_Oii ) @ ( '#_fresh_sk2' @ ( c_Complex_Ocis @ ( '#_fresh_sk2' @ c_Complex_Oii ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4354,zip_derived_cl4514]) ).
thf(zip_derived_cl4272_012,plain,
! [X1: $i,X3: $i] :
( ( '#_fresh_sk3' @ ( c_Complex_Ocomplex_OComplex @ X3 @ X1 ) )
= X1 ),
inference(inj_rec,[status(thm)],[zip_derived_cl1313]) ).
thf(zip_derived_cl5332,plain,
( ( '#_fresh_sk3' @ c_Complex_Oii )
= ( '#_fresh_sk2' @ ( c_Complex_Ocis @ ( '#_fresh_sk2' @ c_Complex_Oii ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl5326,zip_derived_cl4272]) ).
thf(zip_derived_cl5414,plain,
( ( '#_fresh_sk3' @ c_Complex_Oii )
= ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ),
inference(demod,[status(thm)],[zip_derived_cl4514,zip_derived_cl5332]) ).
thf(zip_derived_cl106216,plain,
! [X0: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X0 ) @ ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_RComplete_Onatfloor @ X0 ) ) ) @ ( '#_fresh_sk3' @ c_Complex_Oii ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl810,zip_derived_cl5414]) ).
thf(zip_derived_cl106322,plain,
! [X0: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( '#_fresh_sk2' @ c_Complex_Oii ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal ) @ ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Complex_Ocomplex_Ocomplex__size @ X0 ) ) ) @ ( '#_fresh_sk3' @ c_Complex_Oii ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl21841,zip_derived_cl106216]) ).
thf(zip_derived_cl20985_013,plain,
! [X0: $i] :
( ( c_RealDef_Oreal @ tc_Nat_Onat @ ( c_Complex_Ocomplex_Ocomplex__size @ X0 ) )
= ( '#_fresh_sk2' @ c_Complex_Oii ) ),
inference('sup+',[status(thm)],[zip_derived_cl20578,zip_derived_cl4370]) ).
thf(fact_th,axiom,
! [B_n: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( hAPP @ c_Complex_OIm @ ( hAPP @ v_s @ B_n ) ) ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal ) @ v_r ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ) ) ).
thf(zip_derived_cl122,plain,
! [X0: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( hAPP @ c_Complex_OIm @ ( hAPP @ v_s @ X0 ) ) ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal ) @ v_r ) @ ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ) ) ),
inference(cnf,[status(esa)],[fact_th]) ).
thf(zip_derived_cl5414_014,plain,
( ( '#_fresh_sk3' @ c_Complex_Oii )
= ( c_Groups_Oone__class_Oone @ tc_RealDef_Oreal ) ),
inference(demod,[status(thm)],[zip_derived_cl4514,zip_derived_cl5332]) ).
thf(zip_derived_cl10419,plain,
! [X0: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( hAPP @ c_Complex_OIm @ ( hAPP @ v_s @ X0 ) ) ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal ) @ v_r ) @ ( '#_fresh_sk3' @ c_Complex_Oii ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl5414]) ).
thf(conj_0,conjecture,
? [B_K: $i] :
( ! [B_n: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( hAPP @ c_Complex_OIm @ ( hAPP @ v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ B_n ) ) ) ) ) ) @ B_K ) )
& ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) @ B_K ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [B_K: $i] :
( ! [B_n: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( hAPP @ c_Complex_OIm @ ( hAPP @ v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ B_n ) ) ) ) ) ) @ B_K ) )
& ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) @ B_K ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl1687,plain,
! [X0: $i] :
( ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( hAPP @ c_Complex_OIm @ ( hAPP @ v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ ( sk__75 @ X0 ) ) ) ) ) ) ) @ X0 ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4324_015,plain,
( ( '#_fresh_sk2' @ c_Complex_Oii )
= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ),
inference('sup+',[status(thm)],[zip_derived_cl1325,zip_derived_cl4256]) ).
thf(zip_derived_cl11769,plain,
! [X0: $i] :
( ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( hAPP @ c_Complex_OIm @ ( hAPP @ v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ ( sk__75 @ X0 ) ) ) ) ) ) ) @ X0 ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( '#_fresh_sk2' @ c_Complex_Oii ) ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1687,zip_derived_cl4324]) ).
thf(zip_derived_cl11774,plain,
~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( '#_fresh_sk2' @ c_Complex_Oii ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal ) @ v_r ) @ ( '#_fresh_sk3' @ c_Complex_Oii ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10419,zip_derived_cl11769]) ).
thf(fact_not__leE,axiom,
! [V_x: $i,V_y: $i,T_a: $i] :
( ( class_Orderings_Olinorder @ T_a )
=> ( ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ T_a @ V_y ) @ V_x ) )
=> ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ T_a @ V_x ) @ V_y ) ) ) ) ).
thf(zip_derived_cl91,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ X0 @ X1 ) @ X2 ) )
| ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ X0 @ X2 ) @ X1 ) )
| ~ ( class_Orderings_Olinorder @ X0 ) ),
inference(cnf,[status(esa)],[fact_not__leE]) ).
thf(zip_derived_cl10419_016,plain,
! [X0: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( hAPP @ c_Complex_OIm @ ( hAPP @ v_s @ X0 ) ) ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal ) @ v_r ) @ ( '#_fresh_sk3' @ c_Complex_Oii ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl5414]) ).
thf(zip_derived_cl91_017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ X0 @ X1 ) @ X2 ) )
| ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ X0 @ X2 ) @ X1 ) )
| ~ ( class_Orderings_Olinorder @ X0 ) ),
inference(cnf,[status(esa)],[fact_not__leE]) ).
thf(zip_derived_cl11774_018,plain,
~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( '#_fresh_sk2' @ c_Complex_Oii ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal ) @ v_r ) @ ( '#_fresh_sk3' @ c_Complex_Oii ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10419,zip_derived_cl11769]) ).
thf(zip_derived_cl11780,plain,
( ~ ( class_Orderings_Olinorder @ tc_RealDef_Oreal )
| ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal ) @ v_r ) @ ( '#_fresh_sk3' @ c_Complex_Oii ) ) ) @ ( '#_fresh_sk2' @ c_Complex_Oii ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl11774]) ).
thf(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
class_Orderings_Olinorder @ tc_RealDef_Oreal ).
thf(zip_derived_cl1576,plain,
class_Orderings_Olinorder @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Orderings_Olinorder]) ).
thf(zip_derived_cl11781,plain,
hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal ) @ v_r ) @ ( '#_fresh_sk3' @ c_Complex_Oii ) ) ) @ ( '#_fresh_sk2' @ c_Complex_Oii ) ),
inference(demod,[status(thm)],[zip_derived_cl11780,zip_derived_cl1576]) ).
thf(fact_real__le__trans,axiom,
! [V_k: $i,V_j: $i,V_i: $i] :
( ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_i ) @ V_j ) )
=> ( ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_j ) @ V_k ) )
=> ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_i ) @ V_k ) ) ) ) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 ) @ X1 ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X2 ) @ X0 ) )
| ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X2 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_real__le__trans]) ).
thf(zip_derived_cl16805,plain,
! [X0: $i] :
( ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 ) @ ( '#_fresh_sk2' @ c_Complex_Oii ) ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 ) @ ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal ) @ v_r ) @ ( '#_fresh_sk3' @ c_Complex_Oii ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11781,zip_derived_cl72]) ).
thf(zip_derived_cl16964,plain,
! [X0: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( hAPP @ c_Complex_OIm @ ( hAPP @ v_s @ X0 ) ) ) ) @ ( '#_fresh_sk2' @ c_Complex_Oii ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10419,zip_derived_cl16805]) ).
thf(fact_rp,axiom,
hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) @ v_r ) ).
thf(zip_derived_cl3,plain,
hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) @ v_r ),
inference(cnf,[status(esa)],[fact_rp]) ).
thf(fact_xt1_I6_J,axiom,
! [V_z: $i,V_x: $i,V_y: $i,T_a: $i] :
( ( class_Orderings_Oorder @ T_a )
=> ( ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ T_a @ V_y ) @ V_x ) )
=> ( ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ T_a @ V_z ) @ V_y ) )
=> ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ T_a @ V_z ) @ V_x ) ) ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ X0 @ X1 ) @ X2 ) )
| ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ X0 @ X3 ) @ X2 ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ X0 @ X3 ) @ X1 ) )
| ~ ( class_Orderings_Oorder @ X0 ) ),
inference(cnf,[status(esa)],[fact_xt1_I6_J]) ).
thf(zip_derived_cl2375,plain,
! [X0: $i] :
( ~ ( class_Orderings_Oorder @ tc_RealDef_Oreal )
| ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 ) @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) )
| ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 ) @ v_r ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl27]) ).
thf(arity_RealDef__Oreal__Orderings_Oorder,axiom,
class_Orderings_Oorder @ tc_RealDef_Oreal ).
thf(zip_derived_cl1583,plain,
class_Orderings_Oorder @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Orderings_Oorder]) ).
thf(zip_derived_cl2388,plain,
! [X0: $i] :
( ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 ) @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) )
| ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 ) @ v_r ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2375,zip_derived_cl1583]) ).
thf(zip_derived_cl4324_019,plain,
( ( '#_fresh_sk2' @ c_Complex_Oii )
= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ),
inference('sup+',[status(thm)],[zip_derived_cl1325,zip_derived_cl4256]) ).
thf(zip_derived_cl17625,plain,
! [X0: $i] :
( ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 ) @ ( '#_fresh_sk2' @ c_Complex_Oii ) ) )
| ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 ) @ v_r ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2388,zip_derived_cl4324]) ).
thf(zip_derived_cl17634,plain,
! [X0: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( hAPP @ c_Complex_OIm @ ( hAPP @ v_s @ X0 ) ) ) ) @ v_r ) ),
inference('sup-',[status(thm)],[zip_derived_cl16964,zip_derived_cl17625]) ).
thf(zip_derived_cl11769_020,plain,
! [X0: $i] :
( ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ ( hAPP @ c_Complex_OIm @ ( hAPP @ v_s @ ( hAPP @ v_f____ @ ( hAPP @ v_ga____ @ ( sk__75 @ X0 ) ) ) ) ) ) ) @ X0 ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( '#_fresh_sk2' @ c_Complex_Oii ) ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1687,zip_derived_cl4324]) ).
thf(zip_derived_cl19027,plain,
~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( '#_fresh_sk2' @ c_Complex_Oii ) ) @ v_r ) ),
inference('sup-',[status(thm)],[zip_derived_cl17634,zip_derived_cl11769]) ).
thf(zip_derived_cl19043,plain,
( ~ ( class_Orderings_Olinorder @ tc_RealDef_Oreal )
| ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ v_r ) @ ( '#_fresh_sk2' @ c_Complex_Oii ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl19027]) ).
thf(zip_derived_cl1576_021,plain,
class_Orderings_Olinorder @ tc_RealDef_Oreal,
inference(cnf,[status(esa)],[arity_RealDef__Oreal__Orderings_Olinorder]) ).
thf(zip_derived_cl19044,plain,
hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ v_r ) @ ( '#_fresh_sk2' @ c_Complex_Oii ) ),
inference(demod,[status(thm)],[zip_derived_cl19043,zip_derived_cl1576]) ).
thf(fact_real__less__def,axiom,
! [V_y_2: $i,V_x_2: $i] :
( ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ V_x_2 ) @ V_y_2 ) )
<=> ( ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ V_x_2 ) @ V_y_2 ) )
& ( V_x_2 != V_y_2 ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ X0 ) @ X1 ) )
| ( X0 = X1 )
| ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ X0 ) @ X1 ) ) ),
inference(cnf,[status(esa)],[fact_real__less__def]) ).
thf(zip_derived_cl19134,plain,
( ( v_r
= ( '#_fresh_sk2' @ c_Complex_Oii ) )
| ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ v_r ) @ ( '#_fresh_sk2' @ c_Complex_Oii ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl19044,zip_derived_cl16]) ).
thf(zip_derived_cl3_022,plain,
hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ tc_RealDef_Oreal @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) @ v_r ),
inference(cnf,[status(esa)],[fact_rp]) ).
thf(fact_abs__of__nonneg,axiom,
! [V_a: $i,T_a: $i] :
( ( class_Groups_Oordered__ab__group__add__abs @ T_a )
=> ( ( hBOOL @ ( hAPP @ ( 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_cl11,plain,
! [X0: $i,X1: $i] :
( ~ ( hBOOL @ ( hAPP @ ( 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_cl1773,plain,
( ~ ( 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_cl3,zip_derived_cl11]) ).
thf(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs,axiom,
class_Groups_Oordered__ab__group__add__abs @ tc_RealDef_Oreal ).
thf(zip_derived_cl1539,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_cl1775,plain,
( ( c_Groups_Oabs__class_Oabs @ tc_RealDef_Oreal @ v_r )
= v_r ),
inference(demod,[status(thm)],[zip_derived_cl1773,zip_derived_cl1539]) ).
thf(fact_abs__not__less__zero,axiom,
! [V_a: $i,T_a: $i] :
( ( class_Groups_Oordered__ab__group__add__abs @ T_a )
=> ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ T_a @ ( c_Groups_Oabs__class_Oabs @ T_a @ V_a ) ) @ ( c_Groups_Ozero__class_Ozero @ T_a ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ X0 @ ( c_Groups_Oabs__class_Oabs @ X0 @ X1 ) ) @ ( c_Groups_Ozero__class_Ozero @ X0 ) ) )
| ~ ( class_Groups_Oordered__ab__group__add__abs @ X0 ) ),
inference(cnf,[status(esa)],[fact_abs__not__less__zero]) ).
thf(zip_derived_cl1777,plain,
( ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ v_r ) @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) )
| ~ ( class_Groups_Oordered__ab__group__add__abs @ tc_RealDef_Oreal ) ),
inference('sup-',[status(thm)],[zip_derived_cl1775,zip_derived_cl4]) ).
thf(zip_derived_cl1539_023,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_cl1793,plain,
~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ v_r ) @ ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1777,zip_derived_cl1539]) ).
thf(zip_derived_cl4324_024,plain,
( ( '#_fresh_sk2' @ c_Complex_Oii )
= ( c_Groups_Ozero__class_Ozero @ tc_RealDef_Oreal ) ),
inference('sup+',[status(thm)],[zip_derived_cl1325,zip_derived_cl4256]) ).
thf(zip_derived_cl4356,plain,
~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ v_r ) @ ( '#_fresh_sk2' @ c_Complex_Oii ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1793,zip_derived_cl4324]) ).
thf(zip_derived_cl43601,plain,
( v_r
= ( '#_fresh_sk2' @ c_Complex_Oii ) ),
inference(clc,[status(thm)],[zip_derived_cl19134,zip_derived_cl4356]) ).
thf(zip_derived_cl43608,plain,
~ ( hBOOL @ ( hAPP @ ( c_Orderings_Oord__class_Oless @ tc_RealDef_Oreal @ ( '#_fresh_sk2' @ c_Complex_Oii ) ) @ ( hAPP @ ( hAPP @ ( c_Groups_Oplus__class_Oplus @ tc_RealDef_Oreal ) @ ( '#_fresh_sk2' @ c_Complex_Oii ) ) @ ( '#_fresh_sk3' @ c_Complex_Oii ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11774,zip_derived_cl43601]) ).
thf(zip_derived_cl106345,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl106322,zip_derived_cl20985,zip_derived_cl43608]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW207+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.f5bIxTwD2F true
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 20:17:31 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
% 0.23/0.37 % Running in FO mode
% 0.23/0.68 % Total configuration time : 435
% 0.23/0.68 % Estimated wc time : 1092
% 0.23/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 152.66/22.67 % Solved by fo/fo5.sh.
% 152.66/22.67 % done 8920 iterations in 21.850s
% 152.66/22.67 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 152.66/22.67 % SZS output start Refutation
% See solution above
% 152.66/22.67
% 152.66/22.67
% 152.66/22.67 % Terminating...
% 152.66/22.76 % Runner terminated.
% 152.66/22.77 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------