TSTP Solution File: SET731+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET731+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4sMDAtdIB6 true
% Computer : n007.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 16:15:46 EDT 2023
% Result : Theorem 0.56s 1.01s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 35 ( 8 unt; 12 typ; 0 def)
% Number of atoms : 59 ( 4 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 263 ( 25 ~; 17 |; 10 &; 202 @)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 43 ( 0 ^; 41 !; 2 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__40_type,type,
sk__40: $i ).
thf(sk__42_type,type,
sk__42: $i ).
thf(maps_type,type,
maps: $i > $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(surjective_type,type,
surjective: $i > $i > $i > $o ).
thf(image2_type,type,
image2: $i > $i > $i ).
thf(sk__44_type,type,
sk__44: $i ).
thf(sk__24_type,type,
sk__24: $i > $i > $i > $i ).
thf(sk__41_type,type,
sk__41: $i ).
thf(apply_type,type,
apply: $i > $i > $i > $o ).
thf(sk__20_type,type,
sk__20: $i > $i > $i > $i ).
thf(image2,axiom,
! [F: $i,A: $i,Y: $i] :
( ( member @ Y @ ( image2 @ F @ A ) )
<=> ? [X: $i] :
( ( apply @ F @ X @ Y )
& ( member @ X @ A ) ) ) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ ( sk__24 @ X0 @ X1 @ X2 ) @ X1 )
| ~ ( member @ X0 @ ( image2 @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[image2]) ).
thf(zip_derived_cl91,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( apply @ X0 @ ( sk__24 @ X1 @ X2 @ X0 ) @ X1 )
| ~ ( member @ X1 @ ( image2 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[image2]) ).
thf(surjective,axiom,
! [F: $i,A: $i,B: $i] :
( ( surjective @ F @ A @ B )
<=> ! [Y: $i] :
( ( member @ Y @ B )
=> ? [E: $i] :
( ( apply @ F @ E @ Y )
& ( member @ E @ A ) ) ) ) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( surjective @ X0 @ X1 @ X2 )
| ~ ( apply @ X0 @ X3 @ ( sk__20 @ X2 @ X1 @ X0 ) )
| ~ ( member @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[surjective]) ).
thf(thII22,conjecture,
! [F: $i,G: $i,A: $i,B: $i,C: $i] :
( ( ( maps @ F @ A @ B )
& ( subset @ C @ B )
& ( ( image2 @ F @ A )
= C )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ A )
& ( member @ Y @ C ) )
=> ( ( apply @ G @ X @ Y )
<=> ( apply @ F @ X @ Y ) ) ) )
=> ( surjective @ G @ A @ C ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [F: $i,G: $i,A: $i,B: $i,C: $i] :
( ( ( maps @ F @ A @ B )
& ( subset @ C @ B )
& ( ( image2 @ F @ A )
= C )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ A )
& ( member @ Y @ C ) )
=> ( ( apply @ G @ X @ Y )
<=> ( apply @ F @ X @ Y ) ) ) )
=> ( surjective @ G @ A @ C ) ),
inference('cnf.neg',[status(esa)],[thII22]) ).
thf(zip_derived_cl135,plain,
~ ( surjective @ sk__41 @ sk__42 @ sk__44 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl965,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__42 )
| ~ ( apply @ sk__41 @ X0 @ ( sk__20 @ sk__44 @ sk__42 @ sk__41 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl78,zip_derived_cl135]) ).
thf(zip_derived_cl137,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ sk__42 )
| ~ ( member @ X1 @ sk__44 )
| ( apply @ sk__41 @ X0 @ X1 )
| ~ ( apply @ sk__40 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2034,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__42 )
| ~ ( apply @ sk__40 @ X0 @ ( sk__20 @ sk__44 @ sk__42 @ sk__41 ) )
| ~ ( member @ ( sk__20 @ sk__44 @ sk__42 @ sk__41 ) @ sk__44 )
| ~ ( member @ X0 @ sk__42 ) ),
inference('sup+',[status(thm)],[zip_derived_cl965,zip_derived_cl137]) ).
thf(zip_derived_cl79,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( surjective @ X0 @ X1 @ X2 )
| ( member @ ( sk__20 @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[surjective]) ).
thf(zip_derived_cl135_001,plain,
~ ( surjective @ sk__41 @ sk__42 @ sk__44 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl969,plain,
member @ ( sk__20 @ sk__44 @ sk__42 @ sk__41 ) @ sk__44,
inference('dp-resolution',[status(thm)],[zip_derived_cl79,zip_derived_cl135]) ).
thf(zip_derived_cl2036,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__42 )
| ~ ( apply @ sk__40 @ X0 @ ( sk__20 @ sk__44 @ sk__42 @ sk__41 ) )
| ~ ( member @ X0 @ sk__42 ) ),
inference(demod,[status(thm)],[zip_derived_cl2034,zip_derived_cl969]) ).
thf(zip_derived_cl2037,plain,
! [X0: $i] :
( ~ ( apply @ sk__40 @ X0 @ ( sk__20 @ sk__44 @ sk__42 @ sk__41 ) )
| ~ ( member @ X0 @ sk__42 ) ),
inference(simplify,[status(thm)],[zip_derived_cl2036]) ).
thf(zip_derived_cl2071,plain,
! [X0: $i] :
( ~ ( member @ ( sk__20 @ sk__44 @ sk__42 @ sk__41 ) @ ( image2 @ sk__40 @ X0 ) )
| ~ ( member @ ( sk__24 @ ( sk__20 @ sk__44 @ sk__42 @ sk__41 ) @ X0 @ sk__40 ) @ sk__42 ) ),
inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl2037]) ).
thf(zip_derived_cl2351,plain,
( ~ ( member @ ( sk__20 @ sk__44 @ sk__42 @ sk__41 ) @ ( image2 @ sk__40 @ sk__42 ) )
| ~ ( member @ ( sk__20 @ sk__44 @ sk__42 @ sk__41 ) @ ( image2 @ sk__40 @ sk__42 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl2071]) ).
thf(zip_derived_cl138,plain,
( ( image2 @ sk__40 @ sk__42 )
= sk__44 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl969_002,plain,
member @ ( sk__20 @ sk__44 @ sk__42 @ sk__41 ) @ sk__44,
inference('dp-resolution',[status(thm)],[zip_derived_cl79,zip_derived_cl135]) ).
thf(zip_derived_cl138_003,plain,
( ( image2 @ sk__40 @ sk__42 )
= sk__44 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl969_004,plain,
member @ ( sk__20 @ sk__44 @ sk__42 @ sk__41 ) @ sk__44,
inference('dp-resolution',[status(thm)],[zip_derived_cl79,zip_derived_cl135]) ).
thf(zip_derived_cl2352,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2351,zip_derived_cl138,zip_derived_cl969,zip_derived_cl138,zip_derived_cl969]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET731+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.4sMDAtdIB6 true
% 0.13/0.34 % Computer : n007.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 : Sat Aug 26 13:58:41 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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
% 0.49/0.64 % Total configuration time : 435
% 0.49/0.64 % Estimated wc time : 1092
% 0.49/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/1.01 % Solved by fo/fo3_bce.sh.
% 0.56/1.01 % BCE start: 141
% 0.56/1.01 % BCE eliminated: 0
% 0.56/1.01 % PE start: 141
% 0.56/1.01 logic: eq
% 0.56/1.01 % PE eliminated: -16
% 0.56/1.01 % done 173 iterations in 0.280s
% 0.56/1.01 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/1.01 % SZS output start Refutation
% See solution above
% 0.56/1.01
% 0.56/1.01
% 0.56/1.01 % Terminating...
% 1.65/1.05 % Runner terminated.
% 1.65/1.06 % Zipperpin 1.5 exiting
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