%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU212+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vcIfENaKii true
% Computer : n002.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 04:53:50 PM UTC 2025
% Result : Theorem 1.74s 2.93s
% Output : Refutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 31 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 80 ( 20 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 258 ( 33 ~; 31 |; 7 &; 176 @)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 27 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(function_type,type,
function: $i > $o ).
thf(sk__20_type,type,
sk__20: $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__19_type,type,
sk__19: $i ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(d4_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i,C: $i] :
( ( ~ ( in @ B @ ( relation_dom @ A ) )
=> ( ( C
= ( apply @ A @ B ) )
<=> ( C = empty_set ) ) )
& ( ( in @ B @ ( relation_dom @ A ) )
=> ( ( C
= ( apply @ A @ B ) )
<=> ( in @ ( ordered_pair @ B @ C ) @ A ) ) ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_dom @ X1 ) )
| ( in @ ( ordered_pair @ X0 @ X2 ) @ X1 )
| ( X2
!= ( apply @ X1 @ X0 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d4_funct_1]) ).
thf(t8_funct_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ ( ordered_pair @ A @ B ) @ C )
<=> ( ( in @ A @ ( relation_dom @ C ) )
& ( B
= ( apply @ C @ A ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ ( ordered_pair @ A @ B ) @ C )
<=> ( ( in @ A @ ( relation_dom @ C ) )
& ( B
= ( apply @ C @ A ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t8_funct_1]) ).
thf(zip_derived_cl50,plain,
( ( sk__19
!= ( apply @ sk__20 @ sk__18 ) )
| ~ ( in @ sk__18 @ ( relation_dom @ sk__20 ) )
| ~ ( in @ ( ordered_pair @ sk__18 @ sk__19 ) @ sk__20 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl51,plain,
( ( in @ sk__18 @ ( relation_dom @ sk__20 ) )
| ( in @ ( ordered_pair @ sk__18 @ sk__19 ) @ sk__20 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t20_relat_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( relation @ C )
=> ( ( in @ ( ordered_pair @ A @ B ) @ C )
=> ( ( in @ A @ ( relation_dom @ C ) )
& ( in @ B @ ( relation_rng @ C ) ) ) ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ X2 )
| ( in @ X0 @ ( relation_dom @ X2 ) )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[t20_relat_1]) ).
thf(zip_derived_cl132,plain,
( ( in @ sk__18 @ ( relation_dom @ sk__20 ) )
| ~ ( relation @ sk__20 )
| ( in @ sk__18 @ ( relation_dom @ sk__20 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl34]) ).
thf(zip_derived_cl48,plain,
relation @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl137,plain,
( ( in @ sk__18 @ ( relation_dom @ sk__20 ) )
| ( in @ sk__18 @ ( relation_dom @ sk__20 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl48]) ).
thf(zip_derived_cl138,plain,
in @ sk__18 @ ( relation_dom @ sk__20 ),
inference(simplify,[status(thm)],[zip_derived_cl137]) ).
thf(zip_derived_cl140,plain,
( ( sk__19
!= ( apply @ sk__20 @ sk__18 ) )
| ~ ( in @ ( ordered_pair @ sk__18 @ sk__19 ) @ sk__20 ) ),
inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl138]) ).
thf(zip_derived_cl52,plain,
( ( sk__19
= ( apply @ sk__20 @ sk__18 ) )
| ( in @ ( ordered_pair @ sk__18 @ sk__19 ) @ sk__20 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_dom @ X1 ) )
| ( X2
= ( apply @ X1 @ X0 ) )
| ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ X1 )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d4_funct_1]) ).
thf(zip_derived_cl34_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ X2 )
| ( in @ X0 @ ( relation_dom @ X2 ) )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[t20_relat_1]) ).
thf(zip_derived_cl208,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X1 )
| ~ ( function @ X1 )
| ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ X1 )
| ( X2
= ( apply @ X1 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl18,zip_derived_cl34]) ).
thf(zip_derived_cl210,plain,
( ( sk__19
= ( apply @ sk__20 @ sk__18 ) )
| ( sk__19
= ( apply @ sk__20 @ sk__18 ) )
| ~ ( function @ sk__20 )
| ~ ( relation @ sk__20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl208]) ).
thf(zip_derived_cl49,plain,
function @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl48_002,plain,
relation @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl213,plain,
( ( sk__19
= ( apply @ sk__20 @ sk__18 ) )
| ( sk__19
= ( apply @ sk__20 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl49,zip_derived_cl48]) ).
thf(zip_derived_cl214,plain,
( sk__19
= ( apply @ sk__20 @ sk__18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl213]) ).
thf(zip_derived_cl217,plain,
( ( sk__19 != sk__19 )
| ~ ( in @ ( ordered_pair @ sk__18 @ sk__19 ) @ sk__20 ) ),
inference(demod,[status(thm)],[zip_derived_cl140,zip_derived_cl214]) ).
thf(zip_derived_cl218,plain,
~ ( in @ ( ordered_pair @ sk__18 @ sk__19 ) @ sk__20 ),
inference(simplify,[status(thm)],[zip_derived_cl217]) ).
thf(zip_derived_cl442,plain,
( ~ ( relation @ sk__20 )
| ~ ( function @ sk__20 )
| ( sk__19
!= ( apply @ sk__20 @ sk__18 ) )
| ~ ( in @ sk__18 @ ( relation_dom @ sk__20 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl218]) ).
thf(zip_derived_cl48_003,plain,
relation @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49_004,plain,
function @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl214_005,plain,
( sk__19
= ( apply @ sk__20 @ sk__18 ) ),
inference(simplify,[status(thm)],[zip_derived_cl213]) ).
thf(zip_derived_cl138_006,plain,
in @ sk__18 @ ( relation_dom @ sk__20 ),
inference(simplify,[status(thm)],[zip_derived_cl137]) ).
thf(zip_derived_cl466,plain,
sk__19 != sk__19,
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl48,zip_derived_cl49,zip_derived_cl214,zip_derived_cl138]) ).
thf(zip_derived_cl467,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl466]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/1.12 % Problem : SEU212+2 : TPTP v9.2.0. Released v3.3.0.
% 0.09/1.23 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vcIfENaKii true
% 0.09/1.63 % Computer : n002.cluster.edu
% 0.09/1.63 % Model : x86_64 x86_64
% 0.09/1.63 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/1.63 % Memory : 8042.1875MB
% 0.09/1.63 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/1.63 % CPULimit : 300
% 0.09/1.63 % WCLimit : 300
% 0.09/1.63 % DateTime : Wed Oct 1 16:15:24 EDT 2025
% 0.09/1.65 % CPUTime :
% 0.09/1.65 % Running portfolio for 300 s
% 0.09/1.65 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/1.66 % Number of cores: 8
% 0.09/1.68 % Python version: Python 3.6.8
% 0.15/1.70 % Running in FO mode
% 0.15/2.15 % Total configuration time : 435
% 0.15/2.15 % Estimated wc time : 1092
% 0.15/2.15 % Estimated cpu time (7 cpus) : 156.0
% 0.84/2.49 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.86/2.51 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.86/2.51 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.88/2.54 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.88/2.55 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.88/2.57 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.88/2.59 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.74/2.93 % Solved by fo/fo4.sh.
% 1.74/2.93 % done 186 iterations in 0.216s
% 1.74/2.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.74/2.93 % SZS output start Refutation
% See solution above
% 1.74/2.93
% 1.74/2.93
% 1.74/2.93 % Terminating...
% 1.93/3.13 % Runner terminated.
% 1.95/3.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------