TSTP Solution File: HAL003+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : HAL003+3 : 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.ff6N3kkTJc true
% Computer : n022.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 1.36s 0.89s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 36 ( 8 unt; 11 typ; 0 def)
% Number of atoms : 61 ( 9 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 243 ( 36 ~; 27 |; 5 &; 171 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 40 ( 0 ^; 37 !; 3 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i > $i > $i > $i ).
thf(surjection_type,type,
surjection: $i > $o ).
thf(g_type,type,
g: $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(sk__14_type,type,
sk__14: $i > $i ).
thf(b_type,type,
b: $i ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(morphism_type,type,
morphism: $i > $i > $i > $o ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(e_type,type,
e: $i ).
thf(subtract_type,type,
subtract: $i > $i > $i > $i ).
thf(properties_for_surjection,axiom,
! [Morphism: $i,Dom: $i,Cod: $i] :
( ( ( morphism @ Morphism @ Dom @ Cod )
& ! [ElCod: $i] :
( ( element @ ElCod @ Cod )
=> ? [ElDom: $i] :
( ( ( apply @ Morphism @ ElDom )
= ElCod )
& ( element @ ElDom @ Dom ) ) ) )
=> ( surjection @ Morphism ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( surjection @ X0 )
| ~ ( morphism @ X0 @ X1 @ X2 )
| ( element @ ( sk__3 @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[properties_for_surjection]) ).
thf(g_surjection,conjecture,
surjection @ g ).
thf(zf_stmt_0,negated_conjecture,
~ ( surjection @ g ),
inference('cnf.neg',[status(esa)],[g_surjection]) ).
thf(zip_derived_cl58,plain,
~ ( surjection @ g ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl341,plain,
! [X0: $i,X1: $i] :
( ( element @ ( sk__3 @ X0 @ X1 @ g ) @ X0 )
| ~ ( morphism @ g @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl58]) ).
thf(lemma12,axiom,
! [E: $i] :
( ( element @ E @ e )
=> ? [B1: $i,B2: $i] :
( ( ( apply @ g @ ( subtract @ b @ B1 @ B2 ) )
= E )
& ( element @ B2 @ b )
& ( element @ B1 @ b ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ( ( apply @ g @ ( subtract @ b @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) ) )
= X0 )
| ~ ( element @ X0 @ e ) ),
inference(cnf,[status(esa)],[lemma12]) ).
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_cl10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( surjection @ X0 )
| ~ ( morphism @ X0 @ X1 @ X2 )
| ( ( apply @ X0 @ X3 )
!= ( sk__3 @ X2 @ X1 @ X0 ) )
| ~ ( element @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[properties_for_surjection]) ).
thf(zip_derived_cl58_001,plain,
~ ( surjection @ g ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl344,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X2 @ X1 )
| ( ( apply @ g @ X2 )
!= ( sk__3 @ X0 @ X1 @ g ) )
| ~ ( morphism @ g @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl58]) ).
thf(zip_derived_cl414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( element @ X1 @ X0 )
| ~ ( element @ X2 @ X0 )
| ~ ( morphism @ g @ X0 @ X3 )
| ( ( apply @ g @ ( subtract @ X0 @ X2 @ X1 ) )
!= ( sk__3 @ X3 @ X0 @ g ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl344]) ).
thf(zip_derived_cl559,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( sk__3 @ X1 @ b @ g ) )
| ~ ( element @ X0 @ e )
| ~ ( morphism @ g @ b @ X1 )
| ~ ( element @ ( sk__13 @ X0 ) @ b )
| ~ ( element @ ( sk__14 @ X0 ) @ b ) ),
inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl414]) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ( element @ ( sk__13 @ X0 ) @ b )
| ~ ( element @ X0 @ e ) ),
inference(cnf,[status(esa)],[lemma12]) ).
thf(zip_derived_cl707,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ ( sk__14 @ X0 ) @ b )
| ~ ( morphism @ g @ b @ X1 )
| ~ ( element @ X0 @ e )
| ( X0
!= ( sk__3 @ X1 @ b @ g ) ) ),
inference(clc,[status(thm)],[zip_derived_cl559,zip_derived_cl55]) ).
thf(zip_derived_cl56,plain,
! [X0: $i] :
( ( element @ ( sk__14 @ X0 ) @ b )
| ~ ( element @ X0 @ e ) ),
inference(cnf,[status(esa)],[lemma12]) ).
thf(zip_derived_cl708,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( sk__3 @ X1 @ b @ g ) )
| ~ ( element @ X0 @ e )
| ~ ( morphism @ g @ b @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl707,zip_derived_cl56]) ).
thf(zip_derived_cl709,plain,
! [X0: $i] :
( ~ ( morphism @ g @ b @ X0 )
| ~ ( element @ ( sk__3 @ X0 @ b @ g ) @ e ) ),
inference(eq_res,[status(thm)],[zip_derived_cl708]) ).
thf(zip_derived_cl711,plain,
( ~ ( morphism @ g @ b @ e )
| ~ ( morphism @ g @ b @ e ) ),
inference('sup-',[status(thm)],[zip_derived_cl341,zip_derived_cl709]) ).
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_cl32_002,plain,
morphism @ g @ b @ e,
inference(cnf,[status(esa)],[g_morphism]) ).
thf(zip_derived_cl712,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl711,zip_derived_cl32,zip_derived_cl32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HAL003+3 : 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.ff6N3kkTJc true
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 02:30:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.14/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.14/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.14/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.14/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.14/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.14/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.14/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.36/0.89 % Solved by fo/fo3_bce.sh.
% 1.36/0.89 % BCE start: 59
% 1.36/0.89 % BCE eliminated: 0
% 1.36/0.89 % PE start: 59
% 1.36/0.89 logic: eq
% 1.36/0.89 % PE eliminated: -24
% 1.36/0.89 % done 176 iterations in 0.117s
% 1.36/0.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.36/0.89 % SZS output start Refutation
% See solution above
% 1.36/0.89
% 1.36/0.89
% 1.36/0.89 % Terminating...
% 1.78/0.97 % Runner terminated.
% 1.78/0.98 % Zipperpin 1.5 exiting
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