%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL636+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.6yFCyLdjCH true
% Computer : n004.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 01:36:19 PM UTC 2026
% Result : Theorem 0.48s 0.75s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 154 ( 0 equ; 0 cnn)
% Maximal formula atoms : 69 ( 11 avg)
% Number of connectives : 455 ( 129 ~; 87 |; 54 &; 185 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 0 ^; 29 !; 2 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__1_type,type,
sk__1: $i ).
thf(r1_type,type,
r1: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(p2_type,type,
p2: $i > $o ).
thf(p1_type,type,
p1: $i > $o ).
thf(p101_type,type,
p101: $i > $o ).
thf(p100_type,type,
p100: $i > $o ).
thf(p102_type,type,
p102: $i > $o ).
thf(main,conjecture,
~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ( ( ~ ( p101 @ Y )
| ( p100 @ Y ) )
& ( ~ ( p102 @ Y )
| ( p101 @ Y ) )
& ( ~ ( p100 @ Y )
| ( ( ~ ( p1 @ Y )
| ! [X: $i] :
( ~ ( p100 @ X )
| ( p1 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p1 @ Y )
| ! [X: $i] :
( ~ ( p100 @ X )
| ~ ( p1 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p101 @ Y )
| ( ( ~ ( p2 @ Y )
| ! [X: $i] :
( ~ ( p101 @ X )
| ( p2 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p2 @ Y )
| ! [X: $i] :
( ~ ( p101 @ X )
| ~ ( p2 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( ~ ( p101 @ Y )
& ( p100 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) ) )
| ~ ( r1 @ X @ Y ) )
& ( ( ~ ! [Y: $i] :
( ~ ( ~ ( p2 @ Y )
& ~ ( p102 @ Y )
& ( p101 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ( p2 @ Y )
& ~ ( p102 @ Y )
& ( p101 @ Y ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( ~ ( p101 @ X )
& ( p100 @ X ) ) )
& ( ( ( ! [Y: $i] :
( ~ ( p101 @ Y )
| ~ ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
| ( p2 @ X ) )
& ( ! [Y: $i] :
( ~ ( p101 @ Y )
| ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( p2 @ X ) ) )
| ~ ( p101 @ X ) )
& ( ( ( ! [Y: $i] :
( ~ ( p100 @ Y )
| ~ ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ( p1 @ X ) )
& ( ! [Y: $i] :
( ~ ( p100 @ Y )
| ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( p1 @ X ) ) )
| ~ ( p100 @ X ) )
& ( ( p101 @ X )
| ~ ( p102 @ X ) )
& ( ( p100 @ X )
| ~ ( p101 @ X ) )
& ~ ( p101 @ X )
& ( p100 @ X ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
? [X: $i] :
~ ( ~ ! [Y: $i] :
( ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( ! [Y: $i] :
( ( ( ~ ( p101 @ Y )
| ( p100 @ Y ) )
& ( ~ ( p102 @ Y )
| ( p101 @ Y ) )
& ( ~ ( p100 @ Y )
| ( ( ~ ( p1 @ Y )
| ! [X: $i] :
( ~ ( p100 @ X )
| ( p1 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p1 @ Y )
| ! [X: $i] :
( ~ ( p100 @ X )
| ~ ( p1 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( p101 @ Y )
| ( ( ~ ( p2 @ Y )
| ! [X: $i] :
( ~ ( p101 @ X )
| ( p2 @ X )
| ~ ( r1 @ Y @ X ) ) )
& ( ( p2 @ Y )
| ! [X: $i] :
( ~ ( p101 @ X )
| ~ ( p2 @ X )
| ~ ( r1 @ Y @ X ) ) ) ) )
& ( ~ ( ~ ( p101 @ Y )
& ( p100 @ Y ) )
| ( ~ ! [X: $i] :
( ~ ( ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) )
| ~ ( r1 @ Y @ X ) )
& ~ ! [X: $i] :
( ~ ( ~ ( p2 @ X )
& ~ ( p102 @ X )
& ( p101 @ X ) )
| ~ ( r1 @ Y @ X ) ) ) ) )
| ~ ( r1 @ X @ Y ) )
& ( ( ~ ! [Y: $i] :
( ~ ( ~ ( p2 @ Y )
& ~ ( p102 @ Y )
& ( p101 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ( p2 @ Y )
& ~ ( p102 @ Y )
& ( p101 @ Y ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( ~ ( p101 @ X )
& ( p100 @ X ) ) )
& ( ( ( ! [Y: $i] :
( ~ ( p101 @ Y )
| ~ ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
| ( p2 @ X ) )
& ( ! [Y: $i] :
( ~ ( p101 @ Y )
| ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( p2 @ X ) ) )
| ~ ( p101 @ X ) )
& ( ( ( ! [Y: $i] :
( ~ ( p100 @ Y )
| ~ ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ( p1 @ X ) )
& ( ! [Y: $i] :
( ~ ( p100 @ Y )
| ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( p1 @ X ) ) )
| ~ ( p100 @ X ) )
& ( ( p101 @ X )
| ~ ( p102 @ X ) )
& ( ( p100 @ X )
| ~ ( p101 @ X ) )
& ~ ( p101 @ X )
& ( p100 @ X ) ) ),
inference('cnf.neg',[status(esa)],[main]) ).
thf(zip_derived_cl30,plain,
! [X9: $i] :
( ( p2 @ X9 )
| ~ ( r1 @ sk_ @ X9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15,plain,
( ~ ( p2 @ sk__1 )
| ~ ( p100 @ sk_ )
| ( p101 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29,plain,
p100 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28,plain,
~ ( p101 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33,plain,
~ ( p2 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl29,zip_derived_cl28]) ).
thf(zip_derived_cl34,plain,
~ ( r1 @ sk_ @ sk__1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl33]) ).
thf(zip_derived_cl14,plain,
( ( r1 @ sk_ @ sk__1 )
| ~ ( p100 @ sk_ )
| ( p101 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29_001,plain,
p100 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28_002,plain,
~ ( p101 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl29,zip_derived_cl28]) ).
thf(zip_derived_cl40,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL636+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6yFCyLdjCH true
% 0.11/0.36 % Computer : n004.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 5 13:21:59 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 % Running portfolio for 300 s
% 0.11/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Number of cores: 8
% 0.11/0.37 % Python version: Python 3.12.3
% 0.11/0.37 % Running in FO mode
% 0.47/0.65 % Total configuration time : 435
% 0.47/0.65 % Estimated wc time : 1092
% 0.47/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.75 % Solved by fo/fo6_bce.sh.
% 0.48/0.75 % BCE start: 31
% 0.48/0.75 % BCE eliminated: 6
% 0.48/0.75 % PE start: 25
% 0.48/0.75 logic: neq
% 0.48/0.75 % PE eliminated: 0
% 0.48/0.75 % done 14 iterations in 0.012s
% 0.48/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.48/0.75 % SZS output start Refutation
% See solution above
% 0.48/0.75
% 0.48/0.75
% 0.48/0.76 % Terminating...
% 0.48/0.79 % Runner terminated.
% 1.35/0.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------