TSTP Solution File: SEU226+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU226+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zzCy0O8tzf true
% Computer : n021.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 19:11:24 EDT 2023
% Result : Theorem 9.17s 1.90s
% Output : Refutation 9.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 45 ( 5 unt; 14 typ; 0 def)
% Number of atoms : 108 ( 9 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 432 ( 50 ~; 53 |; 10 &; 305 @)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-4 aty)
% Number of variables : 83 ( 0 ^; 81 !; 2 ?; 83 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__10_type,type,
sk__10: $i ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(relation_inverse_image_type,type,
relation_inverse_image: $i > $i > $i ).
thf(function_type,type,
function: $i > $o ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(relation_type,type,
relation: $i > $o ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(relation_image_type,type,
relation_image: $i > $i > $i ).
thf(t145_funct_1,conjecture,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( subset @ ( relation_image @ B @ ( relation_inverse_image @ B @ A ) ) @ A ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( subset @ ( relation_image @ B @ ( relation_inverse_image @ B @ A ) ) @ A ) ),
inference('cnf.neg',[status(esa)],[t145_funct_1]) ).
thf(zip_derived_cl33,plain,
~ ( subset @ ( relation_image @ sk__10 @ ( relation_inverse_image @ sk__10 @ sk__9 ) ) @ sk__9 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk__4 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl31,plain,
relation @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__4 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(d12_funct_1,axiom,
! [A: $i] :
( ( ( function @ A )
& ( relation @ A ) )
=> ! [B: $i,C: $i] :
( ( C
= ( relation_image @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ? [E: $i] :
( ( in @ E @ ( relation_dom @ A ) )
& ( in @ E @ B )
& ( D
= ( apply @ A @ E ) ) ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [E: $i,D: $i,B: $i,A: $i] :
( ( zip_tseitin_0 @ E @ D @ B @ A )
<=> ( ( D
= ( apply @ A @ E ) )
& ( in @ E @ B )
& ( in @ E @ ( relation_dom @ A ) ) ) ) ).
thf(zf_stmt_3,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i,C: $i] :
( ( C
= ( relation_image @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ? [E: $i] : ( zip_tseitin_0 @ E @ D @ B @ A ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2
!= ( relation_image @ X0 @ X1 ) )
| ( zip_tseitin_0 @ ( sk__2 @ X3 @ X1 @ X0 ) @ X3 @ X1 @ X0 )
| ~ ( in @ X3 @ X2 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( in @ X2 @ ( relation_image @ X0 @ X1 ) )
| ( zip_tseitin_0 @ ( sk__2 @ X2 @ X1 @ X0 ) @ X2 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X0 @ X2 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl225,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ ( relation_image @ X0 @ X1 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ( in @ ( sk__2 @ X2 @ X1 @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl3]) ).
thf(zip_derived_cl92_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( in @ X2 @ ( relation_image @ X0 @ X1 ) )
| ( zip_tseitin_0 @ ( sk__2 @ X2 @ X1 @ X0 ) @ X2 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2
= ( apply @ X0 @ X1 ) )
| ~ ( zip_tseitin_0 @ X1 @ X2 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl224,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ ( relation_image @ X0 @ X1 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 )
| ( X2
= ( apply @ X0 @ ( sk__2 @ X2 @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl2]) ).
thf(d13_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i,C: $i] :
( ( C
= ( relation_inverse_image @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ ( relation_dom @ A ) )
& ( in @ ( apply @ A @ D ) @ B ) ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2
!= ( relation_inverse_image @ X0 @ X1 ) )
| ( in @ ( apply @ X0 @ X3 ) @ X1 )
| ~ ( in @ X3 @ X2 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d13_funct_1]) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( in @ X2 @ ( relation_inverse_image @ X0 @ X1 ) )
| ( in @ ( apply @ X0 @ X2 ) @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ X0 @ X1 )
| ~ ( relation @ X2 )
| ~ ( function @ X2 )
| ~ ( in @ X0 @ ( relation_image @ X2 @ X3 ) )
| ~ ( in @ ( sk__2 @ X0 @ X3 @ X2 ) @ ( relation_inverse_image @ X2 @ X1 ) )
| ~ ( function @ X2 )
| ~ ( relation @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl224,zip_derived_cl60]) ).
thf(zip_derived_cl272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ ( sk__2 @ X0 @ X3 @ X2 ) @ ( relation_inverse_image @ X2 @ X1 ) )
| ~ ( in @ X0 @ ( relation_image @ X2 @ X3 ) )
| ~ ( function @ X2 )
| ~ ( relation @ X2 )
| ( in @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl267]) ).
thf(zip_derived_cl326,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ~ ( in @ X2 @ ( relation_image @ X1 @ ( relation_inverse_image @ X1 @ X0 ) ) )
| ( in @ X2 @ X0 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ~ ( in @ X2 @ ( relation_image @ X1 @ ( relation_inverse_image @ X1 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl225,zip_derived_cl272]) ).
thf(zip_derived_cl327,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
| ~ ( in @ X2 @ ( relation_image @ X1 @ ( relation_inverse_image @ X1 @ X0 ) ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl326]) ).
thf(zip_derived_cl331,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( relation_image @ X1 @ ( relation_inverse_image @ X1 @ X0 ) ) @ X2 )
| ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ( in @ ( sk__4 @ X2 @ ( relation_image @ X1 @ ( relation_inverse_image @ X1 @ X0 ) ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl327]) ).
thf(zip_derived_cl336,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__4 @ X1 @ ( relation_image @ sk__10 @ ( relation_inverse_image @ sk__10 @ X0 ) ) ) @ X0 )
| ~ ( function @ sk__10 )
| ( subset @ ( relation_image @ sk__10 @ ( relation_inverse_image @ sk__10 @ X0 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl331]) ).
thf(zip_derived_cl32,plain,
function @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl340,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__4 @ X1 @ ( relation_image @ sk__10 @ ( relation_inverse_image @ sk__10 @ X0 ) ) ) @ X0 )
| ( subset @ ( relation_image @ sk__10 @ ( relation_inverse_image @ sk__10 @ X0 ) ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl336,zip_derived_cl32]) ).
thf(zip_derived_cl5071,plain,
! [X0: $i] :
( ( subset @ ( relation_image @ sk__10 @ ( relation_inverse_image @ sk__10 @ X0 ) ) @ X0 )
| ( subset @ ( relation_image @ sk__10 @ ( relation_inverse_image @ sk__10 @ X0 ) ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl340]) ).
thf(zip_derived_cl5072,plain,
! [X0: $i] : ( subset @ ( relation_image @ sk__10 @ ( relation_inverse_image @ sk__10 @ X0 ) ) @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl5071]) ).
thf(zip_derived_cl5074,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl5072]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU226+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zzCy0O8tzf true
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 16:42:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.19/0.34 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.17/1.90 % Solved by fo/fo4.sh.
% 9.17/1.90 % done 664 iterations in 1.123s
% 9.17/1.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.17/1.90 % SZS output start Refutation
% See solution above
% 9.17/1.90
% 9.17/1.90
% 9.17/1.90 % Terminating...
% 9.52/1.95 % Runner terminated.
% 9.52/1.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------