TSTP Solution File: SET766+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET766+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.o43M2ERJvd true
% Computer : n017.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 16:15:54 EDT 2023
% Result : Theorem 0.52s 1.23s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 35
% Syntax : Number of formulae : 49 ( 7 unt; 23 typ; 0 def)
% Number of atoms : 73 ( 0 equ; 0 cnn)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 269 ( 14 ~; 9 |; 15 &; 208 @)
% ( 11 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 70 ( 70 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 4 con; 0-5 aty)
% Number of variables : 70 ( 0 ^; 70 !; 0 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__22_type,type,
sk__22: $i ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $i > $i > $i > $o ).
thf(zip_tseitin_13_type,type,
zip_tseitin_13: $i > $i > $i > $o ).
thf(equivalence_class_type,type,
equivalence_class: $i > $i > $i > $i ).
thf(apply_type,type,
apply: $i > $i > $i > $o ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $i > $i > $i > $i > $o ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $i > $i > $i > $o ).
thf(sk__21_type,type,
sk__21: $i ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $i > $i > $i > $i > $i > $o ).
thf(sk__20_type,type,
sk__20: $i ).
thf(equivalence_type,type,
equivalence: $i > $i > $o ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $i > $i > $i > $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $i > $i > $i > $i > $o ).
thf(thIII02,conjecture,
! [E: $i,R: $i,A: $i] :
( ( ( equivalence @ R @ E )
& ( member @ A @ E ) )
=> ( member @ A @ ( equivalence_class @ A @ E @ R ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [E: $i,R: $i,A: $i] :
( ( ( equivalence @ R @ E )
& ( member @ A @ E ) )
=> ( member @ A @ ( equivalence_class @ A @ E @ R ) ) ),
inference('cnf.neg',[status(esa)],[thIII02]) ).
thf(zip_derived_cl104,plain,
equivalence @ sk__21 @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(equivalence,axiom,
! [A: $i,R: $i] :
( ( equivalence @ R @ A )
<=> ( ! [X: $i,Y: $i,Z: $i] :
( ( ( member @ Z @ A )
& ( member @ Y @ A )
& ( member @ X @ A ) )
=> ( ( ( apply @ R @ Y @ Z )
& ( apply @ R @ X @ Y ) )
=> ( apply @ R @ X @ Z ) ) )
& ! [X: $i,Y: $i] :
( ( ( member @ Y @ A )
& ( member @ X @ A ) )
=> ( ( apply @ R @ X @ Y )
=> ( apply @ R @ Y @ X ) ) )
& ! [X: $i] :
( ( member @ X @ A )
=> ( apply @ R @ X @ X ) ) ) ) ).
thf(zf_stmt_1,type,
zip_tseitin_13: $i > $i > $i > $o ).
thf(zf_stmt_2,axiom,
! [X: $i,R: $i,A: $i] :
( ( zip_tseitin_13 @ X @ R @ A )
<=> ( ( member @ X @ A )
=> ( apply @ R @ X @ X ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_12: $i > $i > $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [Y: $i,X: $i,R: $i,A: $i] :
( ( zip_tseitin_12 @ Y @ X @ R @ A )
<=> ( ( zip_tseitin_10 @ Y @ X @ A )
=> ( zip_tseitin_11 @ Y @ X @ R ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_11: $i > $i > $i > $o ).
thf(zf_stmt_6,axiom,
! [Y: $i,X: $i,R: $i] :
( ( zip_tseitin_11 @ Y @ X @ R )
<=> ( ( apply @ R @ X @ Y )
=> ( apply @ R @ Y @ X ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_10: $i > $i > $i > $o ).
thf(zf_stmt_8,axiom,
! [Y: $i,X: $i,A: $i] :
( ( zip_tseitin_10 @ Y @ X @ A )
<=> ( ( member @ X @ A )
& ( member @ Y @ A ) ) ) ).
thf(zf_stmt_9,type,
zip_tseitin_9: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_10,axiom,
! [Z: $i,Y: $i,X: $i,R: $i,A: $i] :
( ( zip_tseitin_9 @ Z @ Y @ X @ R @ A )
<=> ( ( zip_tseitin_6 @ Z @ Y @ X @ A )
=> ( zip_tseitin_8 @ Z @ Y @ X @ R ) ) ) ).
thf(zf_stmt_11,type,
zip_tseitin_8: $i > $i > $i > $i > $o ).
thf(zf_stmt_12,axiom,
! [Z: $i,Y: $i,X: $i,R: $i] :
( ( zip_tseitin_8 @ Z @ Y @ X @ R )
<=> ( ( zip_tseitin_7 @ Z @ Y @ X @ R )
=> ( apply @ R @ X @ Z ) ) ) ).
thf(zf_stmt_13,type,
zip_tseitin_7: $i > $i > $i > $i > $o ).
thf(zf_stmt_14,axiom,
! [Z: $i,Y: $i,X: $i,R: $i] :
( ( zip_tseitin_7 @ Z @ Y @ X @ R )
<=> ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ Z ) ) ) ).
thf(zf_stmt_15,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
thf(zf_stmt_16,axiom,
! [Z: $i,Y: $i,X: $i,A: $i] :
( ( zip_tseitin_6 @ Z @ Y @ X @ A )
<=> ( ( member @ X @ A )
& ( member @ Y @ A )
& ( member @ Z @ A ) ) ) ).
thf(zf_stmt_17,axiom,
! [A: $i,R: $i] :
( ( equivalence @ R @ A )
<=> ( ! [X: $i] : ( zip_tseitin_13 @ X @ R @ A )
& ! [X: $i,Y: $i] : ( zip_tseitin_12 @ Y @ X @ R @ A )
& ! [X: $i,Y: $i,Z: $i] : ( zip_tseitin_9 @ Z @ Y @ X @ R @ A ) ) ) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_13 @ X0 @ X1 @ X2 )
| ~ ( equivalence @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( apply @ X2 @ X0 @ X0 )
| ~ ( zip_tseitin_13 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl640,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( equivalence @ X1 @ X0 )
| ( apply @ X1 @ X2 @ X2 )
| ~ ( member @ X2 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl80,zip_derived_cl77]) ).
thf(zip_derived_cl1304,plain,
! [X0: $i] :
( ( apply @ sk__21 @ X0 @ X0 )
| ~ ( member @ X0 @ sk__20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl640]) ).
thf(equivalence_class,axiom,
! [R: $i,E: $i,A: $i,X: $i] :
( ( member @ X @ ( equivalence_class @ A @ E @ R ) )
<=> ( ( member @ X @ E )
& ( apply @ R @ A @ X ) ) ) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( member @ X0 @ ( equivalence_class @ X1 @ X2 @ X3 ) )
| ~ ( apply @ X3 @ X1 @ X0 )
| ~ ( member @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[equivalence_class]) ).
thf(zip_derived_cl102,plain,
~ ( member @ sk__22 @ ( equivalence_class @ sk__22 @ sk__20 @ sk__21 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1042,plain,
( ~ ( member @ sk__22 @ sk__20 )
| ~ ( apply @ sk__21 @ sk__22 @ sk__22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl102]) ).
thf(zip_derived_cl103,plain,
member @ sk__22 @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1043,plain,
~ ( apply @ sk__21 @ sk__22 @ sk__22 ),
inference(demod,[status(thm)],[zip_derived_cl1042,zip_derived_cl103]) ).
thf(zip_derived_cl2308,plain,
~ ( member @ sk__22 @ sk__20 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1304,zip_derived_cl1043]) ).
thf(zip_derived_cl103_001,plain,
member @ sk__22 @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2311,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2308,zip_derived_cl103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET766+4 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.o43M2ERJvd true
% 0.10/0.32 % Computer : n017.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Sat Aug 26 10:51:26 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.33 % Python version: Python 3.6.8
% 0.10/0.33 % Running in FO mode
% 0.19/0.60 % Total configuration time : 435
% 0.19/0.60 % Estimated wc time : 1092
% 0.19/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/1.23 % Solved by fo/fo6_bce.sh.
% 0.52/1.23 % BCE start: 105
% 0.52/1.23 % BCE eliminated: 0
% 0.52/1.23 % PE start: 105
% 0.52/1.23 logic: eq
% 0.52/1.23 % PE eliminated: 20
% 0.52/1.23 % done 256 iterations in 0.519s
% 0.52/1.23 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.52/1.23 % SZS output start Refutation
% See solution above
% 0.52/1.23
% 0.52/1.23
% 0.52/1.23 % Terminating...
% 4.94/1.33 % Runner terminated.
% 4.94/1.35 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------