TSTP Solution File: HAL004+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HAL004+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.mo7jJn4Wrc true
% Computer : n028.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 01:53:58 EDT 2023
% Result : Theorem 3.03s 1.13s
% Output : Refutation 3.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 27
% Syntax : Number of formulae : 94 ( 29 unt; 16 typ; 0 def)
% Number of atoms : 188 ( 53 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 972 ( 105 ~; 87 |; 15 &; 757 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 10 con; 0-4 aty)
% Number of variables : 93 ( 0 ^; 88 !; 5 ?; 93 :)
% Comments :
%------------------------------------------------------------------------------
thf(zero_type,type,
zero: $i > $i ).
thf(surjection_type,type,
surjection: $i > $o ).
thf(g_type,type,
g: $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(c_type,type,
c: $i ).
thf(beta_type,type,
beta: $i ).
thf(delta_type,type,
delta: $i ).
thf(b_type,type,
b: $i ).
thf(commute_type,type,
commute: $i > $i > $i > $i > $o ).
thf(r_type,type,
r: $i ).
thf(morphism_type,type,
morphism: $i > $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i > $i > $i ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(e_type,type,
e: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(h_type,type,
h: $i ).
thf(delta_morphism,axiom,
morphism @ delta @ e @ r ).
thf(zip_derived_cl30,plain,
morphism @ delta @ e @ r,
inference(cnf,[status(esa)],[delta_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_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_cl328,plain,
! [X0: $i] :
( ~ ( element @ X0 @ e )
| ( element @ ( apply @ delta @ X0 ) @ r ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl0]) ).
thf(h_morphism,axiom,
morphism @ h @ c @ r ).
thf(zip_derived_cl33,plain,
morphism @ h @ c @ r,
inference(cnf,[status(esa)],[h_morphism]) ).
thf(surjection_properties,axiom,
! [Morphism: $i,Dom: $i,Cod: $i] :
( ( ( surjection @ Morphism )
& ( morphism @ Morphism @ Dom @ Cod ) )
=> ! [ElCod: $i] :
( ( element @ ElCod @ Cod )
=> ? [ElDom: $i] :
( ( ( apply @ Morphism @ ElDom )
= ElCod )
& ( element @ ElDom @ Dom ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( surjection @ X0 )
| ~ ( morphism @ X0 @ X1 @ X2 )
| ( element @ ( sk__2 @ X3 @ X1 @ X0 ) @ X1 )
| ~ ( element @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[surjection_properties]) ).
thf(zip_derived_cl357,plain,
! [X0: $i] :
( ~ ( surjection @ h )
| ( element @ ( sk__2 @ X0 @ c @ h ) @ c )
| ~ ( element @ X0 @ r ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl8]) ).
thf(h_surjection,axiom,
surjection @ h ).
thf(zip_derived_cl43,plain,
surjection @ h,
inference(cnf,[status(esa)],[h_surjection]) ).
thf(zip_derived_cl359,plain,
! [X0: $i] :
( ( element @ ( sk__2 @ X0 @ c @ h ) @ c )
| ~ ( element @ X0 @ r ) ),
inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl43]) ).
thf(beta_morphism,axiom,
morphism @ beta @ b @ c ).
thf(zip_derived_cl28,plain,
morphism @ beta @ b @ c,
inference(cnf,[status(esa)],[beta_morphism]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( surjection @ X0 )
| ~ ( morphism @ X0 @ X1 @ X2 )
| ( ( apply @ X0 @ ( sk__2 @ X3 @ X1 @ X0 ) )
= X3 )
| ~ ( element @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[surjection_properties]) ).
thf(zip_derived_cl338,plain,
! [X0: $i] :
( ~ ( surjection @ beta )
| ( ( apply @ beta @ ( sk__2 @ X0 @ b @ beta ) )
= X0 )
| ~ ( element @ X0 @ c ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl7]) ).
thf(beta_surjection,axiom,
surjection @ beta ).
thf(zip_derived_cl36,plain,
surjection @ beta,
inference(cnf,[status(esa)],[beta_surjection]) ).
thf(zip_derived_cl339,plain,
! [X0: $i] :
( ( ( apply @ beta @ ( sk__2 @ X0 @ b @ beta ) )
= X0 )
| ~ ( element @ X0 @ c ) ),
inference(demod,[status(thm)],[zip_derived_cl338,zip_derived_cl36]) ).
thf(zip_derived_cl328_001,plain,
! [X0: $i] :
( ~ ( element @ X0 @ e )
| ( element @ ( apply @ delta @ X0 ) @ r ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl0]) ).
thf(zip_derived_cl359_002,plain,
! [X0: $i] :
( ( element @ ( sk__2 @ X0 @ c @ h ) @ c )
| ~ ( element @ X0 @ r ) ),
inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl43]) ).
thf(zip_derived_cl339_003,plain,
! [X0: $i] :
( ( ( apply @ beta @ ( sk__2 @ X0 @ b @ beta ) )
= X0 )
| ~ ( element @ X0 @ c ) ),
inference(demod,[status(thm)],[zip_derived_cl338,zip_derived_cl36]) ).
thf(zip_derived_cl28_004,plain,
morphism @ beta @ b @ c,
inference(cnf,[status(esa)],[beta_morphism]) ).
thf(zip_derived_cl33_005,plain,
morphism @ h @ c @ r,
inference(cnf,[status(esa)],[h_morphism]) ).
thf(zip_derived_cl30_006,plain,
morphism @ delta @ e @ r,
inference(cnf,[status(esa)],[delta_morphism]) ).
thf(beta_h_g_delta_commute,axiom,
commute @ beta @ h @ g @ delta ).
thf(zip_derived_cl41,plain,
commute @ beta @ h @ g @ delta,
inference(cnf,[status(esa)],[beta_h_g_delta_commute]) ).
thf(commute_properties,axiom,
! [M1: $i,M2: $i,M3: $i,M4: $i,Dom: $i,DomCod1: $i,DomCod2: $i,Cod: $i] :
( ( ( commute @ M1 @ M2 @ M3 @ M4 )
& ( morphism @ M1 @ Dom @ DomCod1 )
& ( morphism @ M2 @ DomCod1 @ Cod )
& ( morphism @ M3 @ Dom @ DomCod2 )
& ( morphism @ M4 @ DomCod2 @ Cod ) )
=> ! [ElDom: $i] :
( ( element @ ElDom @ Dom )
=> ( ( apply @ M2 @ ( apply @ M1 @ ElDom ) )
= ( apply @ M4 @ ( apply @ M3 @ ElDom ) ) ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ~ ( element @ X0 @ X1 )
| ( ( apply @ X4 @ ( apply @ X5 @ X0 ) )
= ( apply @ X2 @ ( apply @ X3 @ X0 ) ) )
| ~ ( morphism @ X3 @ X1 @ X6 )
| ~ ( morphism @ X5 @ X1 @ X7 )
| ~ ( commute @ X5 @ X4 @ X3 @ X2 )
| ~ ( morphism @ X4 @ X7 @ X8 )
| ~ ( morphism @ X2 @ X6 @ X8 ) ),
inference(cnf,[status(esa)],[commute_properties]) ).
thf(zip_derived_cl281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( morphism @ delta @ X2 @ X4 )
| ~ ( morphism @ h @ X3 @ X4 )
| ~ ( morphism @ beta @ X0 @ X3 )
| ~ ( morphism @ g @ X0 @ X2 )
| ( ( apply @ h @ ( apply @ beta @ X1 ) )
= ( apply @ delta @ ( apply @ g @ X1 ) ) )
| ~ ( element @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl41,zip_derived_cl20]) ).
thf(zip_derived_cl593,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( morphism @ h @ X0 @ r )
| ~ ( morphism @ beta @ X1 @ X0 )
| ~ ( morphism @ g @ X1 @ e )
| ( ( apply @ h @ ( apply @ beta @ X2 ) )
= ( apply @ delta @ ( apply @ g @ X2 ) ) )
| ~ ( element @ X2 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl281]) ).
thf(zip_derived_cl1097,plain,
! [X0: $i,X1: $i] :
( ~ ( morphism @ beta @ X0 @ c )
| ~ ( morphism @ g @ X0 @ e )
| ( ( apply @ h @ ( apply @ beta @ X1 ) )
= ( apply @ delta @ ( apply @ g @ X1 ) ) )
| ~ ( element @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl593]) ).
thf(zip_derived_cl1105,plain,
! [X0: $i] :
( ~ ( morphism @ g @ b @ e )
| ( ( apply @ h @ ( apply @ beta @ X0 ) )
= ( apply @ delta @ ( apply @ g @ X0 ) ) )
| ~ ( element @ X0 @ b ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl1097]) ).
thf(g_morphism,axiom,
morphism @ g @ b @ e ).
thf(zip_derived_cl32,plain,
morphism @ g @ b @ e,
inference(cnf,[status(esa)],[g_morphism]) ).
thf(zip_derived_cl1106,plain,
! [X0: $i] :
( ( ( apply @ h @ ( apply @ beta @ X0 ) )
= ( apply @ delta @ ( apply @ g @ X0 ) ) )
| ~ ( element @ X0 @ b ) ),
inference(demod,[status(thm)],[zip_derived_cl1105,zip_derived_cl32]) ).
thf(zip_derived_cl1129,plain,
! [X0: $i] :
( ~ ( element @ X0 @ c )
| ( ( apply @ h @ X0 )
= ( apply @ delta @ ( apply @ g @ ( sk__2 @ X0 @ b @ beta ) ) ) )
| ~ ( element @ ( sk__2 @ X0 @ b @ beta ) @ b ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl339,zip_derived_cl1106]) ).
thf(zip_derived_cl28_007,plain,
morphism @ beta @ b @ c,
inference(cnf,[status(esa)],[beta_morphism]) ).
thf(zip_derived_cl8_008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( surjection @ X0 )
| ~ ( morphism @ X0 @ X1 @ X2 )
| ( element @ ( sk__2 @ X3 @ X1 @ X0 ) @ X1 )
| ~ ( element @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[surjection_properties]) ).
thf(zip_derived_cl340,plain,
! [X0: $i] :
( ~ ( surjection @ beta )
| ( element @ ( sk__2 @ X0 @ b @ beta ) @ b )
| ~ ( element @ X0 @ c ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl8]) ).
thf(zip_derived_cl36_009,plain,
surjection @ beta,
inference(cnf,[status(esa)],[beta_surjection]) ).
thf(zip_derived_cl343,plain,
! [X0: $i] :
( ( element @ ( sk__2 @ X0 @ b @ beta ) @ b )
| ~ ( element @ X0 @ c ) ),
inference(demod,[status(thm)],[zip_derived_cl340,zip_derived_cl36]) ).
thf(zip_derived_cl1177,plain,
! [X0: $i] :
( ( ( apply @ h @ X0 )
= ( apply @ delta @ ( apply @ g @ ( sk__2 @ X0 @ b @ beta ) ) ) )
| ~ ( element @ X0 @ c ) ),
inference(clc,[status(thm)],[zip_derived_cl1129,zip_derived_cl343]) ).
thf(lemma3,conjecture,
! [E: $i] :
( ( element @ E @ e )
=> ? [R: $i,B1: $i] :
( ( ( apply @ delta @ ( apply @ g @ B1 ) )
= R )
& ( ( apply @ h @ ( apply @ beta @ B1 ) )
= R )
& ( element @ B1 @ b )
& ( ( apply @ delta @ E )
= R )
& ( element @ R @ r ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [E: $i] :
( ( element @ E @ e )
=> ? [R: $i,B1: $i] :
( ( ( apply @ delta @ ( apply @ g @ B1 ) )
= R )
& ( ( apply @ h @ ( apply @ beta @ B1 ) )
= R )
& ( element @ B1 @ b )
& ( ( apply @ delta @ E )
= R )
& ( element @ R @ r ) ) ),
inference('cnf.neg',[status(esa)],[lemma3]) ).
thf(zip_derived_cl44,plain,
element @ sk__8 @ e,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl328_010,plain,
! [X0: $i] :
( ~ ( element @ X0 @ e )
| ( element @ ( apply @ delta @ X0 ) @ r ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl0]) ).
thf(zip_derived_cl359_011,plain,
! [X0: $i] :
( ( element @ ( sk__2 @ X0 @ c @ h ) @ c )
| ~ ( element @ X0 @ r ) ),
inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl43]) ).
thf(zip_derived_cl343_012,plain,
! [X0: $i] :
( ( element @ ( sk__2 @ X0 @ b @ beta ) @ b )
| ~ ( element @ X0 @ c ) ),
inference(demod,[status(thm)],[zip_derived_cl340,zip_derived_cl36]) ).
thf(zip_derived_cl44_013,plain,
element @ sk__8 @ e,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl328_014,plain,
! [X0: $i] :
( ~ ( element @ X0 @ e )
| ( element @ ( apply @ delta @ X0 ) @ r ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl0]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] :
( ( ( apply @ delta @ sk__8 )
!= X0 )
| ~ ( element @ X0 @ r )
| ~ ( element @ X1 @ b )
| ( ( apply @ h @ ( apply @ beta @ X1 ) )
!= X0 )
| ( ( apply @ delta @ ( apply @ g @ X1 ) )
!= X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl402,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ e )
| ( ( apply @ delta @ sk__8 )
!= ( apply @ delta @ X0 ) )
| ~ ( element @ X1 @ b )
| ( ( apply @ h @ ( apply @ beta @ X1 ) )
!= ( apply @ delta @ X0 ) )
| ( ( apply @ delta @ ( apply @ g @ X1 ) )
!= ( apply @ delta @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl328,zip_derived_cl45]) ).
thf(zip_derived_cl422,plain,
! [X0: $i] :
( ( ( apply @ delta @ sk__8 )
!= ( apply @ delta @ sk__8 ) )
| ~ ( element @ X0 @ b )
| ( ( apply @ h @ ( apply @ beta @ X0 ) )
!= ( apply @ delta @ sk__8 ) )
| ( ( apply @ delta @ ( apply @ g @ X0 ) )
!= ( apply @ delta @ sk__8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl402]) ).
thf(zip_derived_cl423,plain,
! [X0: $i] :
( ( ( apply @ delta @ ( apply @ g @ X0 ) )
!= ( apply @ delta @ sk__8 ) )
| ( ( apply @ h @ ( apply @ beta @ X0 ) )
!= ( apply @ delta @ sk__8 ) )
| ~ ( element @ X0 @ b ) ),
inference(simplify,[status(thm)],[zip_derived_cl422]) ).
thf(zip_derived_cl432,plain,
! [X0: $i] :
( ~ ( element @ X0 @ c )
| ( ( apply @ delta @ ( apply @ g @ ( sk__2 @ X0 @ b @ beta ) ) )
!= ( apply @ delta @ sk__8 ) )
| ( ( apply @ h @ ( apply @ beta @ ( sk__2 @ X0 @ b @ beta ) ) )
!= ( apply @ delta @ sk__8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl343,zip_derived_cl423]) ).
thf(zip_derived_cl467,plain,
! [X0: $i] :
( ~ ( element @ X0 @ r )
| ( ( apply @ delta @ ( apply @ g @ ( sk__2 @ ( sk__2 @ X0 @ c @ h ) @ b @ beta ) ) )
!= ( apply @ delta @ sk__8 ) )
| ( ( apply @ h @ ( apply @ beta @ ( sk__2 @ ( sk__2 @ X0 @ c @ h ) @ b @ beta ) ) )
!= ( apply @ delta @ sk__8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl432]) ).
thf(zip_derived_cl809,plain,
! [X0: $i] :
( ~ ( element @ X0 @ e )
| ( ( apply @ delta @ ( apply @ g @ ( sk__2 @ ( sk__2 @ ( apply @ delta @ X0 ) @ c @ h ) @ b @ beta ) ) )
!= ( apply @ delta @ sk__8 ) )
| ( ( apply @ h @ ( apply @ beta @ ( sk__2 @ ( sk__2 @ ( apply @ delta @ X0 ) @ c @ h ) @ b @ beta ) ) )
!= ( apply @ delta @ sk__8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl328,zip_derived_cl467]) ).
thf(zip_derived_cl840,plain,
( ( ( apply @ delta @ ( apply @ g @ ( sk__2 @ ( sk__2 @ ( apply @ delta @ sk__8 ) @ c @ h ) @ b @ beta ) ) )
!= ( apply @ delta @ sk__8 ) )
| ( ( apply @ h @ ( apply @ beta @ ( sk__2 @ ( sk__2 @ ( apply @ delta @ sk__8 ) @ c @ h ) @ b @ beta ) ) )
!= ( apply @ delta @ sk__8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl809]) ).
thf(zip_derived_cl1196,plain,
( ~ ( element @ ( sk__2 @ ( apply @ delta @ sk__8 ) @ c @ h ) @ c )
| ( ( apply @ h @ ( sk__2 @ ( apply @ delta @ sk__8 ) @ c @ h ) )
!= ( apply @ delta @ sk__8 ) )
| ( ( apply @ h @ ( apply @ beta @ ( sk__2 @ ( sk__2 @ ( apply @ delta @ sk__8 ) @ c @ h ) @ b @ beta ) ) )
!= ( apply @ delta @ sk__8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1177,zip_derived_cl840]) ).
thf(zip_derived_cl1323,plain,
( ~ ( element @ ( apply @ delta @ sk__8 ) @ r )
| ( ( apply @ h @ ( sk__2 @ ( apply @ delta @ sk__8 ) @ c @ h ) )
!= ( apply @ delta @ sk__8 ) )
| ( ( apply @ h @ ( apply @ beta @ ( sk__2 @ ( sk__2 @ ( apply @ delta @ sk__8 ) @ c @ h ) @ b @ beta ) ) )
!= ( apply @ delta @ sk__8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl1196]) ).
thf(zip_derived_cl33_015,plain,
morphism @ h @ c @ r,
inference(cnf,[status(esa)],[h_morphism]) ).
thf(zip_derived_cl7_016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( surjection @ X0 )
| ~ ( morphism @ X0 @ X1 @ X2 )
| ( ( apply @ X0 @ ( sk__2 @ X3 @ X1 @ X0 ) )
= X3 )
| ~ ( element @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[surjection_properties]) ).
thf(zip_derived_cl356,plain,
! [X0: $i] :
( ~ ( surjection @ h )
| ( ( apply @ h @ ( sk__2 @ X0 @ c @ h ) )
= X0 )
| ~ ( element @ X0 @ r ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl7]) ).
thf(zip_derived_cl43_017,plain,
surjection @ h,
inference(cnf,[status(esa)],[h_surjection]) ).
thf(zip_derived_cl358,plain,
! [X0: $i] :
( ( ( apply @ h @ ( sk__2 @ X0 @ c @ h ) )
= X0 )
| ~ ( element @ X0 @ r ) ),
inference(demod,[status(thm)],[zip_derived_cl356,zip_derived_cl43]) ).
thf(zip_derived_cl1325,plain,
( ( ( apply @ h @ ( apply @ beta @ ( sk__2 @ ( sk__2 @ ( apply @ delta @ sk__8 ) @ c @ h ) @ b @ beta ) ) )
!= ( apply @ delta @ sk__8 ) )
| ~ ( element @ ( apply @ delta @ sk__8 ) @ r ) ),
inference(clc,[status(thm)],[zip_derived_cl1323,zip_derived_cl358]) ).
thf(zip_derived_cl1326,plain,
( ~ ( element @ sk__8 @ e )
| ( ( apply @ h @ ( apply @ beta @ ( sk__2 @ ( sk__2 @ ( apply @ delta @ sk__8 ) @ c @ h ) @ b @ beta ) ) )
!= ( apply @ delta @ sk__8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl328,zip_derived_cl1325]) ).
thf(zip_derived_cl44_018,plain,
element @ sk__8 @ e,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1327,plain,
( ( apply @ h @ ( apply @ beta @ ( sk__2 @ ( sk__2 @ ( apply @ delta @ sk__8 ) @ c @ h ) @ b @ beta ) ) )
!= ( apply @ delta @ sk__8 ) ),
inference(demod,[status(thm)],[zip_derived_cl1326,zip_derived_cl44]) ).
thf(zip_derived_cl1329,plain,
( ~ ( element @ ( sk__2 @ ( apply @ delta @ sk__8 ) @ c @ h ) @ c )
| ( ( apply @ h @ ( sk__2 @ ( apply @ delta @ sk__8 ) @ c @ h ) )
!= ( apply @ delta @ sk__8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl339,zip_derived_cl1327]) ).
thf(zip_derived_cl1330,plain,
( ~ ( element @ ( apply @ delta @ sk__8 ) @ r )
| ( ( apply @ h @ ( sk__2 @ ( apply @ delta @ sk__8 ) @ c @ h ) )
!= ( apply @ delta @ sk__8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl1329]) ).
thf(zip_derived_cl358_019,plain,
! [X0: $i] :
( ( ( apply @ h @ ( sk__2 @ X0 @ c @ h ) )
= X0 )
| ~ ( element @ X0 @ r ) ),
inference(demod,[status(thm)],[zip_derived_cl356,zip_derived_cl43]) ).
thf(zip_derived_cl1331,plain,
~ ( element @ ( apply @ delta @ sk__8 ) @ r ),
inference(clc,[status(thm)],[zip_derived_cl1330,zip_derived_cl358]) ).
thf(zip_derived_cl1332,plain,
~ ( element @ sk__8 @ e ),
inference('s_sup-',[status(thm)],[zip_derived_cl328,zip_derived_cl1331]) ).
thf(zip_derived_cl44_020,plain,
element @ sk__8 @ e,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1333,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1332,zip_derived_cl44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HAL004+1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mo7jJn4Wrc true
% 0.13/0.35 % Computer : n028.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 : Mon Aug 28 02:49:24 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.59/0.85 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 3.03/1.13 % Solved by fo/fo6_bce.sh.
% 3.03/1.13 % BCE start: 46
% 3.03/1.13 % BCE eliminated: 0
% 3.03/1.13 % PE start: 46
% 3.03/1.13 logic: eq
% 3.03/1.13 % PE eliminated: 2
% 3.03/1.13 % done 304 iterations in 0.381s
% 3.03/1.13 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.03/1.13 % SZS output start Refutation
% See solution above
% 3.03/1.13
% 3.03/1.13
% 3.03/1.13 % Terminating...
% 3.60/1.19 % Runner terminated.
% 3.60/1.20 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------