%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL638+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9k0kUitRY4 true
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:36:20 PM UTC 2026
% Result : Theorem 0.41s 0.72s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 35 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 133 ( 0 equ; 0 cnn)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 475 ( 132 ~; 90 |; 8 &; 245 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 70 ( 0 ^; 68 !; 2 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
thf(r1_type,type,
r1: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__6_type,type,
sk__6: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(p1_type,type,
p1: $i > $o ).
thf(main,conjecture,
~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
& ~ ( p1 @ Y ) )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ~ ( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
& ( p1 @ Y ) )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ~ ( ~ ! [X: $i] :
( ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ~ ( ~ ! [X: $i] :
( ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ~ ! [X: $i] :
~ ( r1 @ Y @ X )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p1 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
? [X: $i] :
~ ( ~ ! [Y: $i] :
( ~ ( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
& ~ ( p1 @ Y ) )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ~ ( ~ ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
& ( p1 @ Y ) )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ~ ( ~ ! [X: $i] :
( ! [Y: $i] :
( ~ ! [X: $i] :
( ~ ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ~ ! [Y: $i] :
( ~ ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ~ ( ~ ! [X: $i] :
( ! [Y: $i] :
( ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
& ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) ) )
| ~ ( r1 @ X @ Y ) )
| ~ ! [Y: $i] :
( ~ ! [X: $i] :
~ ( r1 @ Y @ X )
| ~ ( r1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ! [X: $i] :
( ( p1 @ X )
| ~ ( r1 @ Y @ X ) )
| ( p1 @ Y )
| ~ ( r1 @ X @ Y ) ) ),
inference('cnf.neg',[status(esa)],[main]) ).
thf(zip_derived_cl3,plain,
! [X1: $i] :
( ( r1 @ X1 @ ( sk__6 @ X1 ) )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
r1 @ sk_ @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13,plain,
! [X11: $i,X12: $i] :
( ( p1 @ X11 )
| ~ ( r1 @ X11 @ X12 )
| ( r1 @ X12 @ ( sk__1 @ X12 ) )
| ~ ( r1 @ sk_ @ X11 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ( p1 @ sk__7 )
| ~ ( r1 @ sk__7 @ X0 )
| ( r1 @ X0 @ ( sk__1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl13]) ).
thf(zip_derived_cl1,plain,
~ ( p1 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ~ ( r1 @ sk__7 @ X0 )
| ( r1 @ X0 @ ( sk__1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl1]) ).
thf(zip_derived_cl3_001,plain,
! [X1: $i] :
( ( r1 @ X1 @ ( sk__6 @ X1 ) )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_002,plain,
r1 @ sk_ @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
! [X2: $i,X3: $i,X4: $i] :
( ( r1 @ X2 @ ( sk__5 @ X2 ) )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X4 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( r1 @ sk_ @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ( r1 @ sk__7 @ ( sk__5 @ sk__7 ) )
| ~ ( r1 @ sk__7 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl5]) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( p1 @ X0 )
| ~ ( r1 @ sk__7 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_003,plain,
r1 @ sk_ @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( p1 @ ( sk__5 @ X2 ) )
| ~ ( r1 @ X2 @ X3 )
| ( p1 @ X4 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( r1 @ sk_ @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ~ ( p1 @ ( sk__5 @ sk__7 ) )
| ~ ( r1 @ sk__7 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk__7 @ ( sk__5 @ sk__7 ) )
| ~ ( r1 @ sk__7 @ X0 )
| ( p1 @ X1 )
| ~ ( r1 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl22]) ).
thf(zip_derived_cl74,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 @ X1 )
| ( p1 @ X1 )
| ~ ( r1 @ sk__7 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl26,zip_derived_cl23]) ).
thf(zip_derived_cl76,plain,
! [X0: $i] :
( ~ ( r1 @ sk_ @ sk__7 )
| ~ ( r1 @ ( sk__6 @ sk__7 ) @ X0 )
| ( p1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl74]) ).
thf(zip_derived_cl2_004,plain,
r1 @ sk_ @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl78,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__6 @ sk__7 ) @ X0 )
| ( p1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl2]) ).
thf(zip_derived_cl79,plain,
( ~ ( r1 @ sk__7 @ ( sk__6 @ sk__7 ) )
| ( p1 @ ( sk__1 @ ( sk__6 @ sk__7 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl78]) ).
thf(zip_derived_cl3_005,plain,
! [X1: $i] :
( ( r1 @ X1 @ ( sk__6 @ X1 ) )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_006,plain,
r1 @ sk_ @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
! [X11: $i,X12: $i] :
( ( p1 @ X11 )
| ~ ( r1 @ X11 @ X12 )
| ~ ( p1 @ ( sk__1 @ X12 ) )
| ~ ( r1 @ sk_ @ X11 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( p1 @ sk__7 )
| ~ ( r1 @ sk__7 @ X0 )
| ~ ( p1 @ ( sk__1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl12]) ).
thf(zip_derived_cl1_007,plain,
~ ( p1 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ~ ( r1 @ sk__7 @ X0 )
| ~ ( p1 @ ( sk__1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl1]) ).
thf(zip_derived_cl18,plain,
( ~ ( r1 @ sk_ @ sk__7 )
| ~ ( p1 @ ( sk__1 @ ( sk__6 @ sk__7 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl17]) ).
thf(zip_derived_cl2_008,plain,
r1 @ sk_ @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19,plain,
~ ( p1 @ ( sk__1 @ ( sk__6 @ sk__7 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl2]) ).
thf(zip_derived_cl81,plain,
~ ( r1 @ sk__7 @ ( sk__6 @ sk__7 ) ),
inference(clc,[status(thm)],[zip_derived_cl79,zip_derived_cl19]) ).
thf(zip_derived_cl82,plain,
~ ( r1 @ sk_ @ sk__7 ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl81]) ).
thf(zip_derived_cl2_009,plain,
r1 @ sk_ @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL638+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9k0kUitRY4 true
% 0.10/0.36 % Computer : n031.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 4 19:41:24 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Running portfolio for 300 s
% 0.10/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Number of cores: 8
% 0.10/0.37 % Python version: Python 3.12.3
% 0.10/0.37 % Running in FO mode
% 0.39/0.59 % Total configuration time : 435
% 0.39/0.59 % Estimated wc time : 1092
% 0.39/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.40/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.41/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.41/0.72 % Solved by fo/fo6_bce.sh.
% 0.41/0.72 % BCE start: 14
% 0.41/0.72 % BCE eliminated: 0
% 0.41/0.72 % PE start: 14
% 0.41/0.72 logic: neq
% 0.41/0.72 % PE eliminated: 0
% 0.41/0.72 % done 33 iterations in 0.027s
% 0.41/0.72 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.41/0.72 % SZS output start Refutation
% See solution above
% 0.41/0.72
% 0.41/0.72
% 0.41/0.72 % Terminating...
% 0.41/0.77 % Runner terminated.
% 0.41/0.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------