%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET804+4 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EBV2NXYMiX true
% Computer : n008.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 Oct 2 04:52:52 PM UTC 2025
% Result : Theorem 0.50s 0.74s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 33 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 69 ( 15 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 200 ( 27 ~; 21 |; 7 &; 137 @)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 43 ( 0 ^; 41 !; 2 ?; 43 :)
% 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_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_cl521,plain,
! [X0: $i] :
( ( apply @ sk__16 @ sk__19 @ X0 )
| ~ ( member @ X0 @ sk__17 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl49]) ).
thf(zip_derived_cl75_001,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_cl520,plain,
member @ sk__19 @ sk__17,
inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl48]) ).
thf(zip_derived_cl77,plain,
min @ sk__20 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl583,plain,
! [X0: $i] :
( ( sk__20 = X0 )
| ~ ( apply @ sk__16 @ X0 @ sk__20 )
| ~ ( member @ X0 @ sk__17 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl77,zip_derived_cl58]) ).
thf(zip_derived_cl611,plain,
( ( sk__20 = sk__19 )
| ~ ( apply @ sk__16 @ sk__19 @ sk__20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl583]) ).
thf(zip_derived_cl615,plain,
( ~ ( member @ sk__20 @ sk__17 )
| ( sk__20 = sk__19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl611]) ).
thf(zip_derived_cl77_002,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_cl582,plain,
member @ sk__20 @ sk__17,
inference('dp-resolution',[status(thm)],[zip_derived_cl77,zip_derived_cl57]) ).
thf(zip_derived_cl617,plain,
sk__20 = sk__19,
inference(demod,[status(thm)],[zip_derived_cl615,zip_derived_cl582]) ).
thf(zip_derived_cl521_003,plain,
! [X0: $i] :
( ( apply @ sk__16 @ sk__19 @ X0 )
| ~ ( member @ X0 @ sk__17 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl49]) ).
thf(zip_derived_cl520_004,plain,
member @ sk__19 @ sk__17,
inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl48]) ).
thf(zip_derived_cl76,plain,
min @ sk__18 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58_005,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_cl581,plain,
! [X0: $i] :
( ( sk__18 = X0 )
| ~ ( apply @ sk__16 @ X0 @ sk__18 )
| ~ ( member @ X0 @ sk__17 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl76,zip_derived_cl58]) ).
thf(zip_derived_cl607,plain,
( ( sk__18 = sk__19 )
| ~ ( apply @ sk__16 @ sk__19 @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl520,zip_derived_cl581]) ).
thf(zip_derived_cl614,plain,
( ~ ( member @ sk__18 @ sk__17 )
| ( sk__18 = sk__19 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl521,zip_derived_cl607]) ).
thf(zip_derived_cl76_006,plain,
min @ sk__18 @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( min @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[min]) ).
thf(zip_derived_cl580,plain,
member @ sk__18 @ sk__17,
inference('dp-resolution',[status(thm)],[zip_derived_cl76,zip_derived_cl57]) ).
thf(zip_derived_cl616,plain,
sk__18 = sk__19,
inference(demod,[status(thm)],[zip_derived_cl614,zip_derived_cl580]) ).
thf(zip_derived_cl625,plain,
sk__20 = sk__18,
inference(demod,[status(thm)],[zip_derived_cl617,zip_derived_cl616]) ).
thf(zip_derived_cl78,plain,
sk__18 != sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl626,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl625,zip_derived_cl78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET804+4 : TPTP v9.2.0. Released v3.2.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EBV2NXYMiX true
% 0.13/0.34 % Computer : n008.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 : Wed Oct 1 13:08:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.47/0.59 % Total configuration time : 435
% 0.47/0.59 % Estimated wc time : 1092
% 0.47/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.74 % Solved by fo/fo6_bce.sh.
% 0.50/0.74 % BCE start: 79
% 0.50/0.74 % BCE eliminated: 0
% 0.50/0.74 % PE start: 79
% 0.50/0.74 logic: eq
% 0.50/0.74 % PE eliminated: 25
% 0.50/0.74 % done 24 iterations in 0.039s
% 0.50/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.50/0.74 % SZS output start Refutation
% See solution above
% 0.50/0.74
% 0.50/0.74
% 0.50/0.74 % Terminating...
% 0.53/0.82 % Runner terminated.
% 0.53/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------