TSTP Solution File: SET793+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET793+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.uiBzOweL4n 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 16:16:03 EDT 2023
% Result : Theorem 1.29s 0.81s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 46 ( 17 unt; 10 typ; 0 def)
% Number of atoms : 78 ( 5 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 292 ( 25 ~; 27 |; 7 &; 225 @)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 40 ( 0 ^; 40 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__10_type,type,
sk__10: $i > $i > $i > $i ).
thf(apply_type,type,
apply: $i > $i > $i > $o ).
thf(max_type,type,
max: $i > $i > $i > $o ).
thf(order_type,type,
order: $i > $i > $o ).
thf(total_order_type,type,
total_order: $i > $i > $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(greatest_type,type,
greatest: $i > $i > $i > $o ).
thf(sk__18_type,type,
sk__18: $i ).
thf(sk__17_type,type,
sk__17: $i ).
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_cl47,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( greatest @ X0 @ X1 @ X2 )
| ~ ( apply @ X1 @ ( sk__10 @ X0 @ X2 @ X1 ) @ X0 )
| ~ ( member @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[greatest]) ).
thf(thIV5,conjecture,
! [R: $i,E: $i,M: $i] :
( ( ( total_order @ R @ E )
& ( max @ M @ R @ E ) )
=> ( greatest @ M @ R @ E ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [R: $i,E: $i,M: $i] :
( ( ( total_order @ R @ E )
& ( max @ M @ R @ E ) )
=> ( greatest @ M @ R @ E ) ),
inference('cnf.neg',[status(esa)],[thIV5]) ).
thf(zip_derived_cl74,plain,
~ ( greatest @ sk__18 @ sk__16 @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl517,plain,
( ~ ( member @ sk__18 @ sk__17 )
| ~ ( apply @ sk__16 @ ( sk__10 @ sk__18 @ sk__17 @ sk__16 ) @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl47,zip_derived_cl74]) ).
thf(zip_derived_cl75,plain,
max @ sk__18 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(max,axiom,
! [R: $i,E: $i,M: $i] :
( ( max @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( ( member @ X @ E )
& ( apply @ R @ M @ X ) )
=> ( M = X ) ) ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( max @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[max]) ).
thf(zip_derived_cl534,plain,
member @ sk__18 @ sk__17,
inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl52]) ).
thf(zip_derived_cl606,plain,
~ ( apply @ sk__16 @ ( sk__10 @ sk__18 @ sk__17 @ sk__16 ) @ sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl517,zip_derived_cl534]) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( greatest @ X0 @ X1 @ X2 )
| ( member @ ( sk__10 @ X0 @ X2 @ X1 ) @ X2 )
| ~ ( member @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[greatest]) ).
thf(zip_derived_cl74_001,plain,
~ ( greatest @ sk__18 @ sk__16 @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl514,plain,
( ~ ( member @ sk__18 @ sk__17 )
| ( member @ ( sk__10 @ sk__18 @ sk__17 @ sk__16 ) @ sk__17 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl46,zip_derived_cl74]) ).
thf(zip_derived_cl534_002,plain,
member @ sk__18 @ sk__17,
inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl52]) ).
thf(zip_derived_cl603,plain,
member @ ( sk__10 @ sk__18 @ sk__17 @ sk__16 ) @ sk__17,
inference(demod,[status(thm)],[zip_derived_cl514,zip_derived_cl534]) ).
thf(zip_derived_cl75_003,plain,
max @ sk__18 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( apply @ X2 @ X3 @ X0 )
| ( X3 = X0 )
| ~ ( max @ X3 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[max]) ).
thf(zip_derived_cl535,plain,
! [X0: $i] :
( ( sk__18 = X0 )
| ~ ( apply @ sk__16 @ sk__18 @ X0 )
| ~ ( member @ X0 @ sk__17 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl53]) ).
thf(zip_derived_cl604,plain,
( ( sk__18
= ( sk__10 @ sk__18 @ sk__17 @ sk__16 ) )
| ~ ( apply @ sk__16 @ sk__18 @ ( sk__10 @ sk__18 @ sk__17 @ sk__16 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl603,zip_derived_cl535]) ).
thf(zip_derived_cl603_004,plain,
member @ ( sk__10 @ sk__18 @ sk__17 @ sk__16 ) @ sk__17,
inference(demod,[status(thm)],[zip_derived_cl514,zip_derived_cl534]) ).
thf(zip_derived_cl534_005,plain,
member @ sk__18 @ sk__17,
inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl52]) ).
thf(zip_derived_cl76,plain,
total_order @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(total_order,axiom,
! [R: $i,E: $i] :
( ( total_order @ R @ E )
<=> ( ( order @ R @ E )
& ! [X: $i,Y: $i] :
( ( ( member @ X @ E )
& ( member @ Y @ E ) )
=> ( ( apply @ R @ X @ Y )
| ( apply @ R @ Y @ X ) ) ) ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( apply @ X0 @ X1 @ X2 )
| ( apply @ X0 @ X2 @ X1 )
| ~ ( member @ X1 @ X3 )
| ~ ( member @ X2 @ X3 )
| ~ ( total_order @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[total_order]) ).
thf(zip_derived_cl579,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ sk__17 )
| ~ ( member @ X1 @ sk__17 )
| ( apply @ sk__16 @ X0 @ X1 )
| ( apply @ sk__16 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl76,zip_derived_cl33]) ).
thf(zip_derived_cl612,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__17 )
| ( apply @ sk__16 @ sk__18 @ X0 )
| ( apply @ sk__16 @ X0 @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl579]) ).
thf(zip_derived_cl619,plain,
( ( apply @ sk__16 @ sk__18 @ ( sk__10 @ sk__18 @ sk__17 @ sk__16 ) )
| ( apply @ sk__16 @ ( sk__10 @ sk__18 @ sk__17 @ sk__16 ) @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl603,zip_derived_cl612]) ).
thf(zip_derived_cl606_006,plain,
~ ( apply @ sk__16 @ ( sk__10 @ sk__18 @ sk__17 @ sk__16 ) @ sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl517,zip_derived_cl534]) ).
thf(zip_derived_cl632,plain,
apply @ sk__16 @ sk__18 @ ( sk__10 @ sk__18 @ sk__17 @ sk__16 ),
inference(clc,[status(thm)],[zip_derived_cl619,zip_derived_cl606]) ).
thf(zip_derived_cl633,plain,
( sk__18
= ( sk__10 @ sk__18 @ sk__17 @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl604,zip_derived_cl632]) ).
thf(zip_derived_cl534_007,plain,
member @ sk__18 @ sk__17,
inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl52]) ).
thf(zip_derived_cl612_008,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__17 )
| ( apply @ sk__16 @ sk__18 @ X0 )
| ( apply @ sk__16 @ X0 @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl579]) ).
thf(zip_derived_cl620,plain,
( ( apply @ sk__16 @ sk__18 @ sk__18 )
| ( apply @ sk__16 @ sk__18 @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl612]) ).
thf(zip_derived_cl621,plain,
apply @ sk__16 @ sk__18 @ sk__18,
inference(simplify,[status(thm)],[zip_derived_cl620]) ).
thf(zip_derived_cl636,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl606,zip_derived_cl633,zip_derived_cl621]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET793+4 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uiBzOweL4n true
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 10:11:55 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.29/0.81 % Solved by fo/fo6_bce.sh.
% 1.29/0.81 % BCE start: 77
% 1.29/0.81 % BCE eliminated: 0
% 1.29/0.81 % PE start: 77
% 1.29/0.81 logic: eq
% 1.29/0.81 % PE eliminated: 25
% 1.29/0.81 % done 31 iterations in 0.047s
% 1.29/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.29/0.81 % SZS output start Refutation
% See solution above
% 1.29/0.81
% 1.29/0.81
% 1.29/0.82 % Terminating...
% 1.29/0.87 % Runner terminated.
% 1.57/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------