%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU209+1 : 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.jpGyZm6f1X true
% Computer : n026.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 04:53:49 PM UTC 2025
% Result : Theorem 0.60s 0.91s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 8 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 209 ( 21 ~; 24 |; 1 &; 153 @)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 50 ( 0 ^; 48 !; 2 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(relation_inverse_image_type,type,
relation_inverse_image: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i > $i ).
thf(t167_relat_1,conjecture,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( subset @ ( relation_inverse_image @ B @ A ) @ ( relation_dom @ B ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( relation @ B )
=> ( subset @ ( relation_inverse_image @ B @ A ) @ ( relation_dom @ B ) ) ),
inference('cnf.neg',[status(esa)],[t167_relat_1]) ).
thf(zip_derived_cl25,plain,
~ ( subset @ ( relation_inverse_image @ sk__10 @ sk__9 ) @ ( relation_dom @ sk__10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk__3 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl24,plain,
relation @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__3 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(d14_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i,C: $i] :
( ( C
= ( relation_inverse_image @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ? [E: $i] :
( ( in @ E @ B )
& ( in @ ( ordered_pair @ D @ E ) @ A ) ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2
!= ( relation_inverse_image @ X0 @ X1 ) )
| ( in @ ( ordered_pair @ X3 @ ( sk__2 @ X3 @ X1 @ X0 ) ) @ X0 )
| ~ ( in @ X3 @ X2 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d14_relat_1]) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( in @ X2 @ ( relation_inverse_image @ X0 @ X1 ) )
| ( in @ ( ordered_pair @ X2 @ ( sk__2 @ X2 @ X1 @ X0 ) ) @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(d4_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( B
= ( relation_dom @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] : ( in @ ( ordered_pair @ C @ D ) @ A ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( relation_dom @ X0 ) )
| ( in @ X2 @ X1 )
| ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_relat_1]) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X2 @ ( relation_inverse_image @ X0 @ X1 ) )
| ~ ( relation @ X0 )
| ~ ( relation @ X0 )
| ( in @ X2 @ X3 )
| ( X3
!= ( relation_dom @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl13]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3
!= ( relation_dom @ X0 ) )
| ( in @ X2 @ X3 )
| ~ ( relation @ X0 )
| ~ ( in @ X2 @ ( relation_inverse_image @ X0 @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( subset @ ( relation_inverse_image @ X1 @ X0 ) @ X2 )
| ~ ( relation @ X1 )
| ( in @ ( sk__3 @ X2 @ ( relation_inverse_image @ X1 @ X0 ) ) @ X3 )
| ( X3
!= ( relation_dom @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl89]) ).
thf(zip_derived_cl101,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( relation_dom @ sk__10 ) )
| ( in @ ( sk__3 @ X2 @ ( relation_inverse_image @ sk__10 @ X1 ) ) @ X0 )
| ( subset @ ( relation_inverse_image @ sk__10 @ X1 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl95]) ).
thf(zip_derived_cl109,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( relation_inverse_image @ sk__10 @ X1 ) @ X0 )
| ( in @ ( sk__3 @ X0 @ ( relation_inverse_image @ sk__10 @ X1 ) ) @ ( relation_dom @ sk__10 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl117,plain,
! [X0: $i] :
( ( subset @ ( relation_inverse_image @ sk__10 @ X0 ) @ ( relation_dom @ sk__10 ) )
| ( subset @ ( relation_inverse_image @ sk__10 @ X0 ) @ ( relation_dom @ sk__10 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl109]) ).
thf(zip_derived_cl118,plain,
! [X0: $i] : ( subset @ ( relation_inverse_image @ sk__10 @ X0 ) @ ( relation_dom @ sk__10 ) ),
inference(simplify,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl120,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU209+1 : TPTP v9.2.0. Released v3.3.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jpGyZm6f1X true
% 0.13/0.35 % Computer : n026.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 : Wed Oct 1 16:01:23 EDT 2025
% 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
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.57/0.65 % Total configuration time : 435
% 0.57/0.65 % Estimated wc time : 1092
% 0.57/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.81 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.91 % Solved by fo/fo4.sh.
% 0.60/0.91 % done 54 iterations in 0.041s
% 0.60/0.91 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.60/0.91 % SZS output start Refutation
% See solution above
% 0.60/0.91
% 0.60/0.91
% 0.60/0.91 % Terminating...
% 1.64/1.03 % Runner terminated.
% 1.64/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------