TSTP Solution File: HAL002+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HAL002+1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bYvfJh70SF true
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:53:57 EDT 2023
% Result : Theorem 5.19s 1.39s
% Output : Refutation 5.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 24
% Syntax : Number of formulae : 138 ( 28 unt; 13 typ; 0 def)
% Number of atoms : 329 ( 78 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1422 ( 140 ~; 173 |; 14 &;1078 @)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 160 ( 0 ^; 160 !; 0 ?; 160 :)
% Comments :
%------------------------------------------------------------------------------
thf(zero_type,type,
zero: $i > $i ).
thf(injection_type,type,
injection: $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(x_type,type,
x: $i ).
thf(sk__8_type,type,
sk__8: $i > $i > $i > $i ).
thf(injection_2_type,type,
injection_2: $i > $o ).
thf(any1_type,type,
any1: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(any2_type,type,
any2: $i ).
thf(morphism_type,type,
morphism: $i > $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(subtract_type,type,
subtract: $i > $i > $i > $i ).
thf(my,conjecture,
( ( injection @ x )
<=> ( injection_2 @ x ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( injection @ x )
<=> ( injection_2 @ x ) ),
inference('cnf.neg',[status(esa)],[my]) ).
thf(zip_derived_cl33,plain,
( ~ ( injection_2 @ x )
| ~ ( injection @ x ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(x_morphism,axiom,
morphism @ x @ any1 @ any2 ).
thf(zip_derived_cl31,plain,
morphism @ x @ any1 @ any2,
inference(cnf,[status(esa)],[x_morphism]) ).
thf(subtract_in_domain,axiom,
! [Dom: $i,El1: $i,El2: $i] :
( ( ( element @ El1 @ Dom )
& ( element @ El2 @ Dom ) )
=> ( element @ ( subtract @ Dom @ El1 @ El2 ) @ Dom ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ X1 )
| ~ ( element @ X2 @ X1 )
| ( element @ ( subtract @ X1 @ X0 @ X2 ) @ X1 ) ),
inference(cnf,[status(esa)],[subtract_in_domain]) ).
thf(zip_derived_cl31_001,plain,
morphism @ x @ any1 @ any2,
inference(cnf,[status(esa)],[x_morphism]) ).
thf(zip_derived_cl32,plain,
( ( injection_2 @ x )
| ( injection @ x ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(subtract_to_0,axiom,
! [Dom: $i,El: $i] :
( ( element @ El @ Dom )
=> ( ( subtract @ Dom @ El @ El )
= ( zero @ Dom ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ( ( subtract @ X0 @ X1 @ X1 )
= ( zero @ X0 ) )
| ~ ( element @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[subtract_to_0]) ).
thf(subtract_cancellation,axiom,
! [Dom: $i,El1: $i,El2: $i] :
( ( ( element @ El1 @ Dom )
& ( element @ El2 @ Dom ) )
=> ( ( subtract @ Dom @ El1 @ ( subtract @ Dom @ El1 @ El2 ) )
= El2 ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ X1 )
| ~ ( element @ X2 @ X1 )
| ( ( subtract @ X1 @ X0 @ ( subtract @ X1 @ X0 @ X2 ) )
= X2 ) ),
inference(cnf,[status(esa)],[subtract_cancellation]) ).
thf(zip_derived_cl361,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X1 @ X0 )
| ~ ( element @ X1 @ X0 )
| ~ ( element @ X1 @ X0 )
| ( ( subtract @ X0 @ X1 @ ( zero @ X0 ) )
= X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl25]) ).
thf(zip_derived_cl363,plain,
! [X0: $i,X1: $i] :
( ( ( subtract @ X0 @ X1 @ ( zero @ X0 ) )
= X1 )
| ~ ( element @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl361]) ).
thf(zip_derived_cl31_002,plain,
morphism @ x @ any1 @ any2,
inference(cnf,[status(esa)],[x_morphism]) ).
thf(morphism,axiom,
! [Morphism: $i,Dom: $i,Cod: $i] :
( ( morphism @ Morphism @ Dom @ Cod )
=> ( ! [El: $i] :
( ( element @ El @ Dom )
=> ( element @ ( apply @ Morphism @ El ) @ Cod ) )
& ( ( apply @ Morphism @ ( zero @ Dom ) )
= ( zero @ Cod ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( apply @ X1 @ ( zero @ X2 ) )
= ( zero @ X0 ) )
| ~ ( morphism @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[morphism]) ).
thf(zip_derived_cl306,plain,
( ( apply @ x @ ( zero @ any1 ) )
= ( zero @ any2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl1]) ).
thf(zip_derived_cl31_003,plain,
morphism @ x @ any1 @ any2,
inference(cnf,[status(esa)],[x_morphism]) ).
thf(subtract_distribution,axiom,
! [Morphism: $i,Dom: $i,Cod: $i] :
( ( morphism @ Morphism @ Dom @ Cod )
=> ! [El1: $i,El2: $i] :
( ( ( element @ El1 @ Dom )
& ( element @ El2 @ Dom ) )
=> ( ( apply @ Morphism @ ( subtract @ Dom @ El1 @ El2 ) )
= ( subtract @ Cod @ ( apply @ Morphism @ El1 ) @ ( apply @ Morphism @ El2 ) ) ) ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( apply @ X1 @ ( subtract @ X4 @ X2 @ X3 ) )
= ( subtract @ X0 @ ( apply @ X1 @ X2 ) @ ( apply @ X1 @ X3 ) ) )
| ~ ( element @ X3 @ X4 )
| ~ ( element @ X2 @ X4 )
| ~ ( morphism @ X1 @ X4 @ X0 ) ),
inference(cnf,[status(esa)],[subtract_distribution]) ).
thf(zip_derived_cl412,plain,
! [X0: $i,X1: $i] :
( ( ( apply @ x @ ( subtract @ any1 @ X1 @ X0 ) )
= ( subtract @ any2 @ ( apply @ x @ X1 ) @ ( apply @ x @ X0 ) ) )
| ~ ( element @ X0 @ any1 )
| ~ ( element @ X1 @ any1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl26]) ).
thf(zip_derived_cl419,plain,
! [X0: $i] :
( ( ( apply @ x @ ( subtract @ any1 @ X0 @ ( zero @ any1 ) ) )
= ( subtract @ any2 @ ( apply @ x @ X0 ) @ ( zero @ any2 ) ) )
| ~ ( element @ ( zero @ any1 ) @ any1 )
| ~ ( element @ X0 @ any1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl306,zip_derived_cl412]) ).
thf(zip_derived_cl31_004,plain,
morphism @ x @ any1 @ any2,
inference(cnf,[status(esa)],[x_morphism]) ).
thf(properties_for_injection_2,axiom,
! [Morphism: $i,Dom: $i,Cod: $i] :
( ( ( morphism @ Morphism @ Dom @ Cod )
& ! [El: $i] :
( ( ( element @ El @ Dom )
& ( ( apply @ Morphism @ El )
= ( zero @ Cod ) ) )
=> ( El
= ( zero @ Dom ) ) ) )
=> ( injection_2 @ Morphism ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( injection_2 @ X0 )
| ~ ( morphism @ X0 @ X1 @ X2 )
| ( element @ ( sk__8 @ X2 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[properties_for_injection_2]) ).
thf(zip_derived_cl24_005,plain,
! [X0: $i,X1: $i] :
( ( ( subtract @ X0 @ X1 @ X1 )
= ( zero @ X0 ) )
| ~ ( element @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[subtract_to_0]) ).
thf(zip_derived_cl23_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ X1 )
| ~ ( element @ X2 @ X1 )
| ( element @ ( subtract @ X1 @ X0 @ X2 ) @ X1 ) ),
inference(cnf,[status(esa)],[subtract_in_domain]) ).
thf(zip_derived_cl334,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X1 @ X0 )
| ~ ( element @ X1 @ X0 )
| ~ ( element @ X1 @ X0 )
| ( element @ ( zero @ X0 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl23]) ).
thf(zip_derived_cl335,plain,
! [X0: $i,X1: $i] :
( ( element @ ( zero @ X0 ) @ X0 )
| ~ ( element @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl334]) ).
thf(zip_derived_cl376,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( morphism @ X1 @ X0 @ X2 )
| ( injection_2 @ X1 )
| ( element @ ( zero @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl335]) ).
thf(zip_derived_cl380,plain,
( ( injection_2 @ x )
| ( element @ ( zero @ any1 ) @ any1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl376]) ).
thf(zip_derived_cl33_007,plain,
( ~ ( injection_2 @ x )
| ~ ( injection @ x ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl381,plain,
( ( element @ ( zero @ any1 ) @ any1 )
| ~ ( injection @ x ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl33]) ).
thf(zip_derived_cl31_008,plain,
morphism @ x @ any1 @ any2,
inference(cnf,[status(esa)],[x_morphism]) ).
thf(properties_for_injection,axiom,
! [Morphism: $i,Dom: $i,Cod: $i] :
( ( ( morphism @ Morphism @ Dom @ Cod )
& ! [El1: $i,El2: $i] :
( ( ( element @ El1 @ Dom )
& ( element @ El2 @ Dom )
& ( ( apply @ Morphism @ El1 )
= ( apply @ Morphism @ El2 ) ) )
=> ( El1 = El2 ) ) )
=> ( injection @ Morphism ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( injection @ X0 )
| ( element @ ( sk_ @ X1 @ X0 ) @ X1 )
| ~ ( morphism @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[properties_for_injection]) ).
thf(zip_derived_cl320,plain,
( ( injection @ x )
| ( element @ ( sk_ @ any1 @ x ) @ any1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl6]) ).
thf(zip_derived_cl335_009,plain,
! [X0: $i,X1: $i] :
( ( element @ ( zero @ X0 ) @ X0 )
| ~ ( element @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl334]) ).
thf(zip_derived_cl339,plain,
( ( injection @ x )
| ( element @ ( zero @ any1 ) @ any1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl320,zip_derived_cl335]) ).
thf(zip_derived_cl384,plain,
element @ ( zero @ any1 ) @ any1,
inference(clc,[status(thm)],[zip_derived_cl381,zip_derived_cl339]) ).
thf(zip_derived_cl424,plain,
! [X0: $i] :
( ( ( apply @ x @ ( subtract @ any1 @ X0 @ ( zero @ any1 ) ) )
= ( subtract @ any2 @ ( apply @ x @ X0 ) @ ( zero @ any2 ) ) )
| ~ ( element @ X0 @ any1 ) ),
inference(demod,[status(thm)],[zip_derived_cl419,zip_derived_cl384]) ).
thf(zip_derived_cl25_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ X1 )
| ~ ( element @ X2 @ X1 )
| ( ( subtract @ X1 @ X0 @ ( subtract @ X1 @ X0 @ X2 ) )
= X2 ) ),
inference(cnf,[status(esa)],[subtract_cancellation]) ).
thf(zip_derived_cl473,plain,
! [X0: $i] :
( ~ ( element @ X0 @ any1 )
| ~ ( element @ ( apply @ x @ X0 ) @ any2 )
| ~ ( element @ ( zero @ any2 ) @ any2 )
| ( ( subtract @ any2 @ ( apply @ x @ X0 ) @ ( apply @ x @ ( subtract @ any1 @ X0 @ ( zero @ any1 ) ) ) )
= ( zero @ any2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl424,zip_derived_cl25]) ).
thf(zip_derived_cl384_011,plain,
element @ ( zero @ any1 ) @ any1,
inference(clc,[status(thm)],[zip_derived_cl381,zip_derived_cl339]) ).
thf(zip_derived_cl31_012,plain,
morphism @ x @ any1 @ any2,
inference(cnf,[status(esa)],[x_morphism]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( element @ X0 @ X1 )
| ( element @ ( apply @ X2 @ X0 ) @ X3 )
| ~ ( morphism @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[morphism]) ).
thf(zip_derived_cl305,plain,
! [X0: $i] :
( ~ ( element @ X0 @ any1 )
| ( element @ ( apply @ x @ X0 ) @ any2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl0]) ).
thf(zip_derived_cl335_013,plain,
! [X0: $i,X1: $i] :
( ( element @ ( zero @ X0 ) @ X0 )
| ~ ( element @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl334]) ).
thf(zip_derived_cl336,plain,
! [X0: $i] :
( ~ ( element @ X0 @ any1 )
| ( element @ ( zero @ any2 ) @ any2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl305,zip_derived_cl335]) ).
thf(zip_derived_cl386,plain,
element @ ( zero @ any2 ) @ any2,
inference('s_sup-',[status(thm)],[zip_derived_cl384,zip_derived_cl336]) ).
thf(zip_derived_cl481,plain,
! [X0: $i] :
( ~ ( element @ X0 @ any1 )
| ~ ( element @ ( apply @ x @ X0 ) @ any2 )
| ( ( subtract @ any2 @ ( apply @ x @ X0 ) @ ( apply @ x @ ( subtract @ any1 @ X0 @ ( zero @ any1 ) ) ) )
= ( zero @ any2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl473,zip_derived_cl386]) ).
thf(zip_derived_cl305_014,plain,
! [X0: $i] :
( ~ ( element @ X0 @ any1 )
| ( element @ ( apply @ x @ X0 ) @ any2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl0]) ).
thf(zip_derived_cl649,plain,
! [X0: $i] :
( ( ( subtract @ any2 @ ( apply @ x @ X0 ) @ ( apply @ x @ ( subtract @ any1 @ X0 @ ( zero @ any1 ) ) ) )
= ( zero @ any2 ) )
| ~ ( element @ X0 @ any1 ) ),
inference(clc,[status(thm)],[zip_derived_cl481,zip_derived_cl305]) ).
thf(zip_derived_cl659,plain,
! [X0: $i] :
( ~ ( element @ X0 @ any1 )
| ( ( subtract @ any2 @ ( apply @ x @ X0 ) @ ( apply @ x @ X0 ) )
= ( zero @ any2 ) )
| ~ ( element @ X0 @ any1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl363,zip_derived_cl649]) ).
thf(zip_derived_cl673,plain,
! [X0: $i] :
( ( ( subtract @ any2 @ ( apply @ x @ X0 ) @ ( apply @ x @ X0 ) )
= ( zero @ any2 ) )
| ~ ( element @ X0 @ any1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl659]) ).
thf(zip_derived_cl31_015,plain,
morphism @ x @ any1 @ any2,
inference(cnf,[status(esa)],[x_morphism]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( injection @ X0 )
| ( ( apply @ X0 @ ( sk_ @ X1 @ X0 ) )
= ( apply @ X0 @ ( sk__1 @ X1 @ X0 ) ) )
| ~ ( morphism @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[properties_for_injection]) ).
thf(zip_derived_cl312,plain,
( ( injection @ x )
| ( ( apply @ x @ ( sk_ @ any1 @ x ) )
= ( apply @ x @ ( sk__1 @ any1 @ x ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl4]) ).
thf(zip_derived_cl412_016,plain,
! [X0: $i,X1: $i] :
( ( ( apply @ x @ ( subtract @ any1 @ X1 @ X0 ) )
= ( subtract @ any2 @ ( apply @ x @ X1 ) @ ( apply @ x @ X0 ) ) )
| ~ ( element @ X0 @ any1 )
| ~ ( element @ X1 @ any1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl26]) ).
thf(zip_derived_cl420,plain,
! [X0: $i] :
( ( injection @ x )
| ( ( apply @ x @ ( subtract @ any1 @ X0 @ ( sk__1 @ any1 @ x ) ) )
= ( subtract @ any2 @ ( apply @ x @ X0 ) @ ( apply @ x @ ( sk_ @ any1 @ x ) ) ) )
| ~ ( element @ ( sk__1 @ any1 @ x ) @ any1 )
| ~ ( element @ X0 @ any1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl312,zip_derived_cl412]) ).
thf(zip_derived_cl31_017,plain,
morphism @ x @ any1 @ any2,
inference(cnf,[status(esa)],[x_morphism]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( injection @ X0 )
| ( element @ ( sk__1 @ X1 @ X0 ) @ X1 )
| ~ ( morphism @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[properties_for_injection]) ).
thf(zip_derived_cl316,plain,
( ( injection @ x )
| ( element @ ( sk__1 @ any1 @ x ) @ any1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl5]) ).
thf(zip_derived_cl460,plain,
! [X0: $i] :
( ~ ( element @ X0 @ any1 )
| ( ( apply @ x @ ( subtract @ any1 @ X0 @ ( sk__1 @ any1 @ x ) ) )
= ( subtract @ any2 @ ( apply @ x @ X0 ) @ ( apply @ x @ ( sk_ @ any1 @ x ) ) ) )
| ( injection @ x ) ),
inference(clc,[status(thm)],[zip_derived_cl420,zip_derived_cl316]) ).
thf(zip_derived_cl698,plain,
( ~ ( element @ ( sk_ @ any1 @ x ) @ any1 )
| ~ ( element @ ( sk_ @ any1 @ x ) @ any1 )
| ( ( apply @ x @ ( subtract @ any1 @ ( sk_ @ any1 @ x ) @ ( sk__1 @ any1 @ x ) ) )
= ( zero @ any2 ) )
| ( injection @ x ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl673,zip_derived_cl460]) ).
thf(zip_derived_cl726,plain,
( ( injection @ x )
| ( ( apply @ x @ ( subtract @ any1 @ ( sk_ @ any1 @ x ) @ ( sk__1 @ any1 @ x ) ) )
= ( zero @ any2 ) )
| ~ ( element @ ( sk_ @ any1 @ x ) @ any1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl698]) ).
thf(zip_derived_cl320_018,plain,
( ( injection @ x )
| ( element @ ( sk_ @ any1 @ x ) @ any1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl6]) ).
thf(zip_derived_cl770,plain,
( ( ( apply @ x @ ( subtract @ any1 @ ( sk_ @ any1 @ x ) @ ( sk__1 @ any1 @ x ) ) )
= ( zero @ any2 ) )
| ( injection @ x ) ),
inference(clc,[status(thm)],[zip_derived_cl726,zip_derived_cl320]) ).
thf(injection_properties_2,axiom,
! [Morphism: $i,Dom: $i,Cod: $i] :
( ( ( injection_2 @ Morphism )
& ( morphism @ Morphism @ Dom @ Cod ) )
=> ! [El: $i] :
( ( ( element @ El @ Dom )
& ( ( apply @ Morphism @ El )
= ( zero @ Cod ) ) )
=> ( El
= ( zero @ Dom ) ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( injection_2 @ X0 )
| ~ ( morphism @ X0 @ X1 @ X2 )
| ( X3
= ( zero @ X1 ) )
| ( ( apply @ X0 @ X3 )
!= ( zero @ X2 ) )
| ~ ( element @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[injection_properties_2]) ).
thf(zip_derived_cl774,plain,
! [X0: $i,X1: $i] :
( ( injection @ x )
| ~ ( injection_2 @ x )
| ~ ( morphism @ x @ X1 @ X0 )
| ( ( subtract @ any1 @ ( sk_ @ any1 @ x ) @ ( sk__1 @ any1 @ x ) )
= ( zero @ X1 ) )
| ( ( zero @ any2 )
!= ( zero @ X0 ) )
| ~ ( element @ ( subtract @ any1 @ ( sk_ @ any1 @ x ) @ ( sk__1 @ any1 @ x ) ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl770,zip_derived_cl27]) ).
thf(zip_derived_cl33_019,plain,
( ~ ( injection_2 @ x )
| ~ ( injection @ x ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1933,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ ( subtract @ any1 @ ( sk_ @ any1 @ x ) @ ( sk__1 @ any1 @ x ) ) @ X1 )
| ( ( zero @ any2 )
!= ( zero @ X0 ) )
| ( ( subtract @ any1 @ ( sk_ @ any1 @ x ) @ ( sk__1 @ any1 @ x ) )
= ( zero @ X1 ) )
| ~ ( morphism @ x @ X1 @ X0 )
| ~ ( injection_2 @ x ) ),
inference(clc,[status(thm)],[zip_derived_cl774,zip_derived_cl33]) ).
thf(zip_derived_cl1934,plain,
! [X0: $i,X1: $i] :
( ( injection @ x )
| ~ ( element @ ( subtract @ any1 @ ( sk_ @ any1 @ x ) @ ( sk__1 @ any1 @ x ) ) @ X0 )
| ( ( zero @ any2 )
!= ( zero @ X1 ) )
| ( ( subtract @ any1 @ ( sk_ @ any1 @ x ) @ ( sk__1 @ any1 @ x ) )
= ( zero @ X0 ) )
| ~ ( morphism @ x @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl1933]) ).
thf(zip_derived_cl2062,plain,
! [X0: $i] :
( ~ ( morphism @ x @ X0 @ any2 )
| ( ( subtract @ any1 @ ( sk_ @ any1 @ x ) @ ( sk__1 @ any1 @ x ) )
= ( zero @ X0 ) )
| ~ ( element @ ( subtract @ any1 @ ( sk_ @ any1 @ x ) @ ( sk__1 @ any1 @ x ) ) @ X0 )
| ( injection @ x ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1934]) ).
thf(zip_derived_cl2063,plain,
( ( ( subtract @ any1 @ ( sk_ @ any1 @ x ) @ ( sk__1 @ any1 @ x ) )
= ( zero @ any1 ) )
| ~ ( element @ ( subtract @ any1 @ ( sk_ @ any1 @ x ) @ ( sk__1 @ any1 @ x ) ) @ any1 )
| ( injection @ x ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl2062]) ).
thf(zip_derived_cl2064,plain,
( ~ ( element @ ( sk__1 @ any1 @ x ) @ any1 )
| ~ ( element @ ( sk_ @ any1 @ x ) @ any1 )
| ( ( subtract @ any1 @ ( sk_ @ any1 @ x ) @ ( sk__1 @ any1 @ x ) )
= ( zero @ any1 ) )
| ( injection @ x ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl2063]) ).
thf(zip_derived_cl316_020,plain,
( ( injection @ x )
| ( element @ ( sk__1 @ any1 @ x ) @ any1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl5]) ).
thf(zip_derived_cl2085,plain,
( ( injection @ x )
| ( ( subtract @ any1 @ ( sk_ @ any1 @ x ) @ ( sk__1 @ any1 @ x ) )
= ( zero @ any1 ) )
| ~ ( element @ ( sk_ @ any1 @ x ) @ any1 ) ),
inference(clc,[status(thm)],[zip_derived_cl2064,zip_derived_cl316]) ).
thf(zip_derived_cl320_021,plain,
( ( injection @ x )
| ( element @ ( sk_ @ any1 @ x ) @ any1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl6]) ).
thf(zip_derived_cl2086,plain,
( ( ( subtract @ any1 @ ( sk_ @ any1 @ x ) @ ( sk__1 @ any1 @ x ) )
= ( zero @ any1 ) )
| ( injection @ x ) ),
inference(clc,[status(thm)],[zip_derived_cl2085,zip_derived_cl320]) ).
thf(zip_derived_cl25_022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ X1 )
| ~ ( element @ X2 @ X1 )
| ( ( subtract @ X1 @ X0 @ ( subtract @ X1 @ X0 @ X2 ) )
= X2 ) ),
inference(cnf,[status(esa)],[subtract_cancellation]) ).
thf(zip_derived_cl2088,plain,
( ( injection @ x )
| ~ ( element @ ( sk_ @ any1 @ x ) @ any1 )
| ~ ( element @ ( sk__1 @ any1 @ x ) @ any1 )
| ( ( subtract @ any1 @ ( sk_ @ any1 @ x ) @ ( zero @ any1 ) )
= ( sk__1 @ any1 @ x ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2086,zip_derived_cl25]) ).
thf(zip_derived_cl320_023,plain,
( ( injection @ x )
| ( element @ ( sk_ @ any1 @ x ) @ any1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl6]) ).
thf(zip_derived_cl2099,plain,
( ( ( subtract @ any1 @ ( sk_ @ any1 @ x ) @ ( zero @ any1 ) )
= ( sk__1 @ any1 @ x ) )
| ~ ( element @ ( sk__1 @ any1 @ x ) @ any1 )
| ( injection @ x ) ),
inference(clc,[status(thm)],[zip_derived_cl2088,zip_derived_cl320]) ).
thf(zip_derived_cl316_024,plain,
( ( injection @ x )
| ( element @ ( sk__1 @ any1 @ x ) @ any1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl5]) ).
thf(zip_derived_cl2100,plain,
( ( injection @ x )
| ( ( subtract @ any1 @ ( sk_ @ any1 @ x ) @ ( zero @ any1 ) )
= ( sk__1 @ any1 @ x ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2099,zip_derived_cl316]) ).
thf(zip_derived_cl363_025,plain,
! [X0: $i,X1: $i] :
( ( ( subtract @ X0 @ X1 @ ( zero @ X0 ) )
= X1 )
| ~ ( element @ X1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl361]) ).
thf(zip_derived_cl2103,plain,
( ( injection @ x )
| ( ( sk__1 @ any1 @ x )
= ( sk_ @ any1 @ x ) )
| ~ ( element @ ( sk_ @ any1 @ x ) @ any1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2100,zip_derived_cl363]) ).
thf(zip_derived_cl320_026,plain,
( ( injection @ x )
| ( element @ ( sk_ @ any1 @ x ) @ any1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl6]) ).
thf(zip_derived_cl2198,plain,
( ( ( sk__1 @ any1 @ x )
= ( sk_ @ any1 @ x ) )
| ( injection @ x ) ),
inference(clc,[status(thm)],[zip_derived_cl2103,zip_derived_cl320]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( injection @ X0 )
| ( ( sk_ @ X1 @ X0 )
!= ( sk__1 @ X1 @ X0 ) )
| ~ ( morphism @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[properties_for_injection]) ).
thf(zip_derived_cl2199,plain,
! [X0: $i] :
( ( injection @ x )
| ( injection @ x )
| ( ( sk_ @ any1 @ x )
!= ( sk_ @ any1 @ x ) )
| ~ ( morphism @ x @ any1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2198,zip_derived_cl3]) ).
thf(zip_derived_cl2232,plain,
! [X0: $i] :
( ~ ( morphism @ x @ any1 @ X0 )
| ( injection @ x ) ),
inference(simplify,[status(thm)],[zip_derived_cl2199]) ).
thf(zip_derived_cl2265,plain,
injection @ x,
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl2232]) ).
thf(zip_derived_cl2266,plain,
~ ( injection_2 @ x ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl2265]) ).
thf(zip_derived_cl28_027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( injection_2 @ X0 )
| ~ ( morphism @ X0 @ X1 @ X2 )
| ( element @ ( sk__8 @ X2 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[properties_for_injection_2]) ).
thf(zip_derived_cl31_028,plain,
morphism @ x @ any1 @ any2,
inference(cnf,[status(esa)],[x_morphism]) ).
thf(zip_derived_cl31_029,plain,
morphism @ x @ any1 @ any2,
inference(cnf,[status(esa)],[x_morphism]) ).
thf(zip_derived_cl306_030,plain,
( ( apply @ x @ ( zero @ any1 ) )
= ( zero @ any2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl1]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( injection_2 @ X0 )
| ~ ( morphism @ X0 @ X1 @ X2 )
| ( ( apply @ X0 @ ( sk__8 @ X2 @ X1 @ X0 ) )
= ( zero @ X2 ) ) ),
inference(cnf,[status(esa)],[properties_for_injection_2]) ).
thf(injection_properties,axiom,
! [Morphism: $i,Dom: $i,Cod: $i] :
( ( ( injection @ Morphism )
& ( morphism @ Morphism @ Dom @ Cod ) )
=> ! [El1: $i,El2: $i] :
( ( ( element @ El1 @ Dom )
& ( element @ El2 @ Dom )
& ( ( apply @ Morphism @ El1 )
= ( apply @ Morphism @ El2 ) ) )
=> ( El1 = El2 ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X0 )
| ( ( apply @ X2 @ X1 )
!= ( apply @ X2 @ X0 ) )
| ~ ( element @ X0 @ X3 )
| ~ ( element @ X1 @ X3 )
| ~ ( injection @ X2 )
| ~ ( morphism @ X2 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[injection_properties]) ).
thf(zip_derived_cl391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( morphism @ X1 @ X2 @ X0 )
| ( injection_2 @ X1 )
| ( X3
= ( sk__8 @ X0 @ X2 @ X1 ) )
| ( ( apply @ X1 @ X3 )
!= ( zero @ X0 ) )
| ~ ( element @ ( sk__8 @ X0 @ X2 @ X1 ) @ X4 )
| ~ ( element @ X3 @ X4 )
| ~ ( injection @ X1 )
| ~ ( morphism @ X1 @ X4 @ X5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl2]) ).
thf(zip_derived_cl1128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( morphism @ x @ X1 @ X0 )
| ( injection_2 @ x )
| ( ( zero @ any1 )
= ( sk__8 @ X0 @ X1 @ x ) )
| ( ( zero @ any2 )
!= ( zero @ X0 ) )
| ~ ( element @ ( sk__8 @ X0 @ X1 @ x ) @ X2 )
| ~ ( element @ ( zero @ any1 ) @ X2 )
| ~ ( injection @ x )
| ~ ( morphism @ x @ X2 @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl391]) ).
thf(zip_derived_cl2266_031,plain,
~ ( injection_2 @ x ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl2265]) ).
thf(zip_derived_cl2265_032,plain,
injection @ x,
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl2232]) ).
thf(zip_derived_cl3276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( morphism @ x @ X1 @ X0 )
| ( ( zero @ any1 )
= ( sk__8 @ X0 @ X1 @ x ) )
| ( ( zero @ any2 )
!= ( zero @ X0 ) )
| ~ ( element @ ( sk__8 @ X0 @ X1 @ x ) @ X2 )
| ~ ( element @ ( zero @ any1 ) @ X2 )
| ~ ( morphism @ x @ X2 @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1128,zip_derived_cl2266,zip_derived_cl2265]) ).
thf(zip_derived_cl3277,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( morphism @ x @ X1 @ X0 )
| ~ ( element @ ( zero @ any1 ) @ X1 )
| ~ ( element @ ( sk__8 @ any2 @ X2 @ x ) @ X1 )
| ( ( zero @ any1 )
= ( sk__8 @ any2 @ X2 @ x ) )
| ~ ( morphism @ x @ X2 @ any2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3276]) ).
thf(zip_derived_cl3287,plain,
! [X0: $i] :
( ~ ( element @ ( zero @ any1 ) @ any1 )
| ~ ( element @ ( sk__8 @ any2 @ X0 @ x ) @ any1 )
| ( ( zero @ any1 )
= ( sk__8 @ any2 @ X0 @ x ) )
| ~ ( morphism @ x @ X0 @ any2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl3277]) ).
thf(zip_derived_cl384_033,plain,
element @ ( zero @ any1 ) @ any1,
inference(clc,[status(thm)],[zip_derived_cl381,zip_derived_cl339]) ).
thf(zip_derived_cl3288,plain,
! [X0: $i] :
( ~ ( element @ ( sk__8 @ any2 @ X0 @ x ) @ any1 )
| ( ( zero @ any1 )
= ( sk__8 @ any2 @ X0 @ x ) )
| ~ ( morphism @ x @ X0 @ any2 ) ),
inference(demod,[status(thm)],[zip_derived_cl3287,zip_derived_cl384]) ).
thf(zip_derived_cl3289,plain,
( ~ ( element @ ( sk__8 @ any2 @ any1 @ x ) @ any1 )
| ( ( zero @ any1 )
= ( sk__8 @ any2 @ any1 @ x ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl3288]) ).
thf(zip_derived_cl3291,plain,
( ~ ( morphism @ x @ any1 @ any2 )
| ( injection_2 @ x )
| ( ( zero @ any1 )
= ( sk__8 @ any2 @ any1 @ x ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl3289]) ).
thf(zip_derived_cl31_034,plain,
morphism @ x @ any1 @ any2,
inference(cnf,[status(esa)],[x_morphism]) ).
thf(zip_derived_cl2266_035,plain,
~ ( injection_2 @ x ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl2265]) ).
thf(zip_derived_cl3292,plain,
( ( zero @ any1 )
= ( sk__8 @ any2 @ any1 @ x ) ),
inference(demod,[status(thm)],[zip_derived_cl3291,zip_derived_cl31,zip_derived_cl2266]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( injection_2 @ X0 )
| ~ ( morphism @ X0 @ X1 @ X2 )
| ( ( sk__8 @ X2 @ X1 @ X0 )
!= ( zero @ X1 ) ) ),
inference(cnf,[status(esa)],[properties_for_injection_2]) ).
thf(zip_derived_cl3297,plain,
( ( injection_2 @ x )
| ~ ( morphism @ x @ any1 @ any2 )
| ( ( zero @ any1 )
!= ( zero @ any1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3292,zip_derived_cl30]) ).
thf(zip_derived_cl31_036,plain,
morphism @ x @ any1 @ any2,
inference(cnf,[status(esa)],[x_morphism]) ).
thf(zip_derived_cl3301,plain,
( ( injection_2 @ x )
| ( ( zero @ any1 )
!= ( zero @ any1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3297,zip_derived_cl31]) ).
thf(zip_derived_cl3302,plain,
injection_2 @ x,
inference(simplify,[status(thm)],[zip_derived_cl3301]) ).
thf(zip_derived_cl3311,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2266,zip_derived_cl3302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : HAL002+1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bYvfJh70SF true
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Aug 28 02:34:30 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.31 % Number of cores: 8
% 0.11/0.31 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.16/0.51 % Total configuration time : 435
% 0.16/0.51 % Estimated wc time : 1092
% 0.16/0.51 % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.58 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.58 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.58 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.58 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.58 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.60 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.62 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.19/1.39 % Solved by fo/fo6_bce.sh.
% 5.19/1.39 % BCE start: 34
% 5.19/1.39 % BCE eliminated: 0
% 5.19/1.39 % PE start: 34
% 5.19/1.39 logic: eq
% 5.19/1.39 % PE eliminated: 1
% 5.19/1.39 % done 616 iterations in 0.791s
% 5.19/1.39 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.19/1.39 % SZS output start Refutation
% See solution above
% 5.19/1.39
% 5.19/1.39
% 5.19/1.39 % Terminating...
% 5.19/1.47 % Runner terminated.
% 5.19/1.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------