TSTP Solution File: SET789+4 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET789+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Vqqa012lwB true
% Computer : n032.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 16:16:01 EDT 2023
% Result : Theorem 0.16s 0.65s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 39
% Syntax : Number of formulae : 71 ( 12 unt; 26 typ; 0 def)
% Number of atoms : 132 ( 14 equ; 0 cnn)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 455 ( 45 ~; 43 |; 17 &; 323 @)
% ( 12 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 76 ( 76 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 5 con; 0-5 aty)
% Number of variables : 112 ( 0 ^; 112 !; 0 ?; 112 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $i > $i > $i > $o ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $i > $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $i > $o ).
thf(sk__18_type,type,
sk__18: $i ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $i > $i > $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $i > $o ).
thf(apply_type,type,
apply: $i > $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(sk__19_type,type,
sk__19: $i ).
thf(order_type,type,
order: $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(greatest_type,type,
greatest: $i > $i > $i > $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(thIV1,conjecture,
! [R: $i,E: $i,M: $i] :
( ( ( order @ R @ E )
& ( greatest @ M @ R @ E ) )
=> ! [X: $i] :
( ( greatest @ X @ R @ E )
=> ( M = X ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [R: $i,E: $i,M: $i] :
( ( ( order @ R @ E )
& ( greatest @ M @ R @ E ) )
=> ! [X: $i] :
( ( greatest @ X @ R @ E )
=> ( M = X ) ) ),
inference('cnf.neg',[status(esa)],[thIV1]) ).
thf(zip_derived_cl74,plain,
greatest @ sk__19 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(greatest,axiom,
! [R: $i,E: $i,M: $i] :
( ( greatest @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ M ) ) ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X0 @ X1 )
| ( apply @ X2 @ X0 @ X3 )
| ~ ( greatest @ X3 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[greatest]) ).
thf(zip_derived_cl534,plain,
! [X0: $i] :
( ( apply @ sk__16 @ X0 @ sk__19 )
| ~ ( member @ X0 @ sk__17 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl74,zip_derived_cl45]) ).
thf(zip_derived_cl76,plain,
greatest @ sk__18 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45_001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X0 @ X1 )
| ( apply @ X2 @ X0 @ X3 )
| ~ ( greatest @ X3 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[greatest]) ).
thf(zip_derived_cl536,plain,
! [X0: $i] :
( ( apply @ sk__16 @ X0 @ sk__18 )
| ~ ( member @ X0 @ sk__17 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl76,zip_derived_cl45]) ).
thf(order,axiom,
! [R: $i,E: $i] :
( ( order @ R @ E )
<=> ( ! [X: $i,Y: $i,Z: $i] :
( ( ( member @ Z @ E )
& ( member @ Y @ E )
& ( member @ X @ E ) )
=> ( ( ( apply @ R @ Y @ Z )
& ( apply @ R @ X @ Y ) )
=> ( apply @ R @ X @ Z ) ) )
& ! [X: $i,Y: $i] :
( ( ( member @ Y @ E )
& ( member @ X @ E ) )
=> ( ( ( apply @ R @ Y @ X )
& ( apply @ R @ X @ Y ) )
=> ( X = Y ) ) )
& ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ X ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [Y: $i,X: $i,E: $i] :
( ( zip_tseitin_4 @ Y @ X @ E )
<=> ( ( member @ X @ E )
& ( member @ Y @ E ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_4 @ X0 @ X1 @ X2 )
| ~ ( member @ X0 @ X2 )
| ~ ( member @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zf_stmt_2,axiom,
! [Y: $i,X: $i,E: $i,R: $i] :
( ( zip_tseitin_7 @ Y @ X @ E @ R )
<=> ( ( zip_tseitin_4 @ Y @ X @ E )
=> ( zip_tseitin_6 @ Y @ X @ R ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( zip_tseitin_4 @ X0 @ X1 @ X2 )
| ( zip_tseitin_6 @ X0 @ X1 @ X3 )
| ~ ( zip_tseitin_7 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X1 @ X0 )
| ~ ( member @ X2 @ X0 )
| ~ ( zip_tseitin_7 @ X2 @ X1 @ X0 @ X3 )
| ( zip_tseitin_6 @ X2 @ X1 @ X3 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl22]) ).
thf(zf_stmt_3,axiom,
! [Y: $i,X: $i,R: $i] :
( ( zip_tseitin_5 @ Y @ X @ R )
<=> ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ X ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X0 @ X1 @ X2 )
| ~ ( apply @ X2 @ X0 @ X1 )
| ~ ( apply @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zf_stmt_4,axiom,
! [Y: $i,X: $i,R: $i] :
( ( zip_tseitin_6 @ Y @ X @ R )
<=> ( ( zip_tseitin_5 @ Y @ X @ R )
=> ( X = Y ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_5 @ X0 @ X1 @ X2 )
| ( X1 = X0 )
| ~ ( zip_tseitin_6 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl503,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( apply @ X0 @ X1 @ X2 )
| ~ ( apply @ X0 @ X2 @ X1 )
| ~ ( zip_tseitin_6 @ X2 @ X1 @ X0 )
| ( X1 = X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl19]) ).
thf(zip_derived_cl544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( zip_tseitin_7 @ X2 @ X1 @ X0 @ X3 )
| ~ ( member @ X2 @ X0 )
| ~ ( member @ X1 @ X0 )
| ( X1 = X2 )
| ~ ( apply @ X3 @ X2 @ X1 )
| ~ ( apply @ X3 @ X1 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl506,zip_derived_cl503]) ).
thf(zip_derived_cl77,plain,
order @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_5,type,
zip_tseitin_8: $i > $i > $i > $o ).
thf(zf_stmt_6,axiom,
! [X: $i,E: $i,R: $i] :
( ( zip_tseitin_8 @ X @ E @ R )
<=> ( ( member @ X @ E )
=> ( apply @ R @ X @ X ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_7: $i > $i > $i > $i > $o ).
thf(zf_stmt_8,type,
zip_tseitin_6: $i > $i > $i > $o ).
thf(zf_stmt_9,type,
zip_tseitin_5: $i > $i > $i > $o ).
thf(zf_stmt_10,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(zf_stmt_11,type,
zip_tseitin_3: $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_12,axiom,
! [Z: $i,Y: $i,X: $i,E: $i,R: $i] :
( ( zip_tseitin_3 @ Z @ Y @ X @ E @ R )
<=> ( ( zip_tseitin_0 @ Z @ Y @ X @ E )
=> ( zip_tseitin_2 @ Z @ Y @ X @ R ) ) ) ).
thf(zf_stmt_13,type,
zip_tseitin_2: $i > $i > $i > $i > $o ).
thf(zf_stmt_14,axiom,
! [Z: $i,Y: $i,X: $i,R: $i] :
( ( zip_tseitin_2 @ Z @ Y @ X @ R )
<=> ( ( zip_tseitin_1 @ Z @ Y @ X @ R )
=> ( apply @ R @ X @ Z ) ) ) ).
thf(zf_stmt_15,type,
zip_tseitin_1: $i > $i > $i > $i > $o ).
thf(zf_stmt_16,axiom,
! [Z: $i,Y: $i,X: $i,R: $i] :
( ( zip_tseitin_1 @ Z @ Y @ X @ R )
<=> ( ( apply @ R @ X @ Y )
& ( apply @ R @ Y @ Z ) ) ) ).
thf(zf_stmt_17,type,
zip_tseitin_0: $i > $i > $i > $i > $o ).
thf(zf_stmt_18,axiom,
! [Z: $i,Y: $i,X: $i,E: $i] :
( ( zip_tseitin_0 @ Z @ Y @ X @ E )
<=> ( ( member @ X @ E )
& ( member @ Y @ E )
& ( member @ Z @ E ) ) ) ).
thf(zf_stmt_19,axiom,
! [R: $i,E: $i] :
( ( order @ R @ E )
<=> ( ! [X: $i] : ( zip_tseitin_8 @ X @ E @ R )
& ! [X: $i,Y: $i] : ( zip_tseitin_7 @ Y @ X @ E @ R )
& ! [X: $i,Y: $i,Z: $i] : ( zip_tseitin_3 @ Z @ Y @ X @ E @ R ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_7 @ X0 @ X1 @ X2 @ X3 )
| ~ ( order @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf(zip_derived_cl579,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_7 @ X1 @ X0 @ sk__17 @ sk__16 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl77,zip_derived_cl29]) ).
thf(zip_derived_cl653,plain,
! [X0: $i,X1: $i] :
( ~ ( apply @ sk__16 @ X0 @ X1 )
| ~ ( apply @ sk__16 @ X1 @ X0 )
| ( X0 = X1 )
| ~ ( member @ X0 @ sk__17 )
| ~ ( member @ X1 @ sk__17 ) ),
inference('sup+',[status(thm)],[zip_derived_cl544,zip_derived_cl579]) ).
thf(zip_derived_cl662,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__17 )
| ~ ( member @ sk__18 @ sk__17 )
| ~ ( member @ X0 @ sk__17 )
| ( X0 = sk__18 )
| ~ ( apply @ sk__16 @ sk__18 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl536,zip_derived_cl653]) ).
thf(zip_derived_cl76_002,plain,
greatest @ sk__18 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( greatest @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[greatest]) ).
thf(zip_derived_cl535,plain,
member @ sk__18 @ sk__17,
inference('dp-resolution',[status(thm)],[zip_derived_cl76,zip_derived_cl44]) ).
thf(zip_derived_cl667,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__17 )
| ~ ( member @ X0 @ sk__17 )
| ( X0 = sk__18 )
| ~ ( apply @ sk__16 @ sk__18 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl662,zip_derived_cl535]) ).
thf(zip_derived_cl668,plain,
! [X0: $i] :
( ~ ( apply @ sk__16 @ sk__18 @ X0 )
| ( X0 = sk__18 )
| ~ ( member @ X0 @ sk__17 ) ),
inference(simplify,[status(thm)],[zip_derived_cl667]) ).
thf(zip_derived_cl676,plain,
( ~ ( member @ sk__18 @ sk__17 )
| ~ ( member @ sk__19 @ sk__17 )
| ( sk__19 = sk__18 ) ),
inference('sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl668]) ).
thf(zip_derived_cl535_003,plain,
member @ sk__18 @ sk__17,
inference('dp-resolution',[status(thm)],[zip_derived_cl76,zip_derived_cl44]) ).
thf(zip_derived_cl74_004,plain,
greatest @ sk__19 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( greatest @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[greatest]) ).
thf(zip_derived_cl533,plain,
member @ sk__19 @ sk__17,
inference('dp-resolution',[status(thm)],[zip_derived_cl74,zip_derived_cl44]) ).
thf(zip_derived_cl679,plain,
sk__19 = sk__18,
inference(demod,[status(thm)],[zip_derived_cl676,zip_derived_cl535,zip_derived_cl533]) ).
thf(zip_derived_cl75,plain,
sk__18 != sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl680,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl679,zip_derived_cl75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET789+4 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Vqqa012lwB true
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Sat Aug 26 15:28:59 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.11/0.30 % Running portfolio for 300 s
% 0.11/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.30 % Number of cores: 8
% 0.11/0.30 % Python version: Python 3.6.8
% 0.11/0.31 % Running in FO mode
% 0.16/0.52 % Total configuration time : 435
% 0.16/0.52 % Estimated wc time : 1092
% 0.16/0.52 % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.57 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.57 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.58 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.59 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.60 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.60 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.62 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.16/0.65 % Solved by fo/fo3_bce.sh.
% 0.16/0.65 % BCE start: 78
% 0.16/0.65 % BCE eliminated: 0
% 0.16/0.65 % PE start: 78
% 0.16/0.65 logic: eq
% 0.16/0.65 % PE eliminated: 15
% 0.16/0.65 % done 54 iterations in 0.053s
% 0.16/0.65 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.16/0.65 % SZS output start Refutation
% See solution above
% 0.16/0.65
% 0.16/0.65
% 0.16/0.65 % Terminating...
% 0.16/0.73 % Runner terminated.
% 0.16/0.74 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------