TSTP Solution File: SET804+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET804+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jyP3kKRs9K true
% Computer : n004.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 16:16:06 EDT 2023
% Result : Theorem 1.29s 0.78s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 39 ( 15 unt; 10 typ; 0 def)
% Number of atoms : 63 ( 12 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 185 ( 25 ~; 19 |; 7 &; 126 @)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 40 ( 0 ^; 38 !; 2 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(sk__19_type,type,
sk__19: $i ).
thf(min_type,type,
min: $i > $i > $i > $o ).
thf(apply_type,type,
apply: $i > $i > $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(order_type,type,
order: $i > $i > $o ).
thf(sk__20_type,type,
sk__20: $i ).
thf(least_type,type,
least: $i > $i > $i > $o ).
thf(sk__18_type,type,
sk__18: $i ).
thf(thIV16,conjecture,
! [R: $i,E: $i] :
( ( order @ R @ E )
=> ! [M1: $i,M2: $i] :
( ( ( min @ M1 @ R @ E )
& ( min @ M2 @ R @ E )
& ( M1 != M2 ) )
=> ~ ? [M: $i] : ( least @ M @ R @ E ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [R: $i,E: $i] :
( ( order @ R @ E )
=> ! [M1: $i,M2: $i] :
( ( ( min @ M1 @ R @ E )
& ( min @ M2 @ R @ E )
& ( M1 != M2 ) )
=> ~ ? [M: $i] : ( least @ M @ R @ E ) ) ),
inference('cnf.neg',[status(esa)],[thIV16]) ).
thf(zip_derived_cl77,plain,
min @ sk__20 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75,plain,
least @ sk__19 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(least,axiom,
! [R: $i,E: $i,M: $i] :
( ( least @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ M @ X ) ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X0 @ X1 )
| ( apply @ X2 @ X3 @ X0 )
| ~ ( least @ X3 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[least]) ).
thf(zip_derived_cl87,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__17 )
| ( apply @ sk__16 @ sk__19 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl49]) ).
thf(min,axiom,
! [R: $i,E: $i,M: $i] :
( ( min @ M @ R @ E )
<=> ( ( member @ M @ E )
& ! [X: $i] :
( ( ( member @ X @ E )
& ( apply @ R @ X @ M ) )
=> ( M = X ) ) ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( apply @ X2 @ X0 @ X3 )
| ( X3 = X0 )
| ~ ( min @ X3 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[min]) ).
thf(zip_derived_cl110,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ sk__17 )
| ~ ( member @ sk__19 @ X1 )
| ( X0 = sk__19 )
| ~ ( min @ X0 @ sk__16 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl58]) ).
thf(zip_derived_cl115,plain,
( ~ ( member @ sk__20 @ sk__17 )
| ~ ( member @ sk__19 @ sk__17 )
| ( sk__20 = sk__19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl110]) ).
thf(zip_derived_cl77_001,plain,
min @ sk__20 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( min @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[min]) ).
thf(zip_derived_cl81,plain,
member @ sk__20 @ sk__17,
inference('s_sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl57]) ).
thf(zip_derived_cl75_002,plain,
least @ sk__19 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( least @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[least]) ).
thf(zip_derived_cl79,plain,
member @ sk__19 @ sk__17,
inference('s_sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl48]) ).
thf(zip_derived_cl117,plain,
sk__20 = sk__19,
inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl81,zip_derived_cl79]) ).
thf(zip_derived_cl76,plain,
min @ sk__18 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl110_003,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ sk__17 )
| ~ ( member @ sk__19 @ X1 )
| ( X0 = sk__19 )
| ~ ( min @ X0 @ sk__16 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl58]) ).
thf(zip_derived_cl114,plain,
( ~ ( member @ sk__18 @ sk__17 )
| ~ ( member @ sk__19 @ sk__17 )
| ( sk__18 = sk__19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl110]) ).
thf(zip_derived_cl76_004,plain,
min @ sk__18 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( min @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[min]) ).
thf(zip_derived_cl80,plain,
member @ sk__18 @ sk__17,
inference('s_sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl57]) ).
thf(zip_derived_cl79_006,plain,
member @ sk__19 @ sk__17,
inference('s_sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl48]) ).
thf(zip_derived_cl116,plain,
sk__18 = sk__19,
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl80,zip_derived_cl79]) ).
thf(zip_derived_cl128,plain,
sk__20 = sk__18,
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl116]) ).
thf(zip_derived_cl78,plain,
sk__18 != sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl129,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl128,zip_derived_cl78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET804+4 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jyP3kKRs9K true
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 12:13:53 EDT 2023
% 0.21/0.35 % CPUTime :
% 0.21/0.35 % Running portfolio for 300 s
% 0.21/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.35 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.29/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.29/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.29/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.29/0.78 % Solved by fo/fo1_av.sh.
% 1.29/0.78 % done 62 iterations in 0.028s
% 1.29/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.29/0.78 % SZS output start Refutation
% See solution above
% 1.29/0.78
% 1.29/0.78
% 1.29/0.78 % Terminating...
% 1.40/0.85 % Runner terminated.
% 1.40/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------