%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN354+1 : TPTP v9.2.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.36p9OBsPzd true
% Computer : n018.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 05:04:34 PM UTC 2025
% Result : Theorem 0.62s 0.81s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 53 ( 0 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 180 ( 17 ~; 15 |; 4 &; 128 @)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 0 ^; 15 !; 4 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_f_type,type,
big_f: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(big_g_type,type,
big_g: $i > $i > $o ).
thf(church_46_20_1,conjecture,
! [X1: $i,X2: $i] :
? [Y1: $i,Y2: $i] :
! [Z: $i] :
( ( big_f @ X1 @ X2 )
=> ( ( big_g @ X1 @ X2 )
=> ( ( ( ( big_g @ X2 @ Z )
<=> ( big_g @ Y2 @ Z ) )
=> ( ( big_f @ Y1 @ Y2 )
=> ( big_f @ X2 @ Y2 ) ) )
=> ( ( ( big_g @ X2 @ Z )
<=> ( big_g @ Y1 @ Z ) )
=> ( ( big_f @ X1 @ Y1 )
& ( big_f @ X2 @ Y1 )
& ( big_f @ Y1 @ Y2 ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X1: $i,X2: $i] :
? [Y1: $i,Y2: $i] :
! [Z: $i] :
( ( big_f @ X1 @ X2 )
=> ( ( big_g @ X1 @ X2 )
=> ( ( ( ( big_g @ X2 @ Z )
<=> ( big_g @ Y2 @ Z ) )
=> ( ( big_f @ Y1 @ Y2 )
=> ( big_f @ X2 @ Y2 ) ) )
=> ( ( ( big_g @ X2 @ Z )
<=> ( big_g @ Y1 @ Z ) )
=> ( ( big_f @ X1 @ Y1 )
& ( big_f @ X2 @ Y1 )
& ( big_f @ Y1 @ Y2 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[church_46_20_1]) ).
thf(zip_derived_cl4,plain,
big_f @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ X1 @ X0 )
| ( big_f @ sk__1 @ X0 )
| ~ ( big_g @ X0 @ ( sk__2 @ X0 @ X1 ) )
| ~ ( big_g @ sk__1 @ ( sk__2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ~ ( big_g @ sk__1 @ ( sk__2 @ sk__1 @ X0 ) )
| ( big_f @ sk__1 @ sk__1 )
| ~ ( big_f @ X0 @ sk__1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl4_001,plain,
big_f @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ sk_ @ X1 )
| ~ ( big_f @ sk__1 @ X1 )
| ~ ( big_f @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ~ ( big_f @ sk__1 @ sk__1 )
| ~ ( big_f @ sk__1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
~ ( big_f @ sk__1 @ sk__1 ),
inference(condensation,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ~ ( big_g @ sk__1 @ ( sk__2 @ sk__1 @ X0 ) )
| ~ ( big_f @ X0 @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl8]) ).
thf(zip_derived_cl13,plain,
~ ( big_g @ sk__1 @ ( sk__2 @ sk__1 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl12]) ).
thf(zip_derived_cl4_002,plain,
big_f @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( big_f @ X1 @ X0 )
| ( big_f @ sk__1 @ X0 )
| ( big_g @ X0 @ ( sk__2 @ X0 @ X1 ) )
| ( big_g @ sk__1 @ ( sk__2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14,plain,
( ( big_f @ sk__1 @ sk__1 )
| ( big_g @ sk__1 @ ( sk__2 @ sk__1 @ sk_ ) )
| ( big_g @ sk__1 @ ( sk__2 @ sk__1 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).
thf(zip_derived_cl8_003,plain,
~ ( big_f @ sk__1 @ sk__1 ),
inference(condensation,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl15,plain,
( ( big_g @ sk__1 @ ( sk__2 @ sk__1 @ sk_ ) )
| ( big_g @ sk__1 @ ( sk__2 @ sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl8]) ).
thf(zip_derived_cl16,plain,
big_g @ sk__1 @ ( sk__2 @ sk__1 @ sk_ ),
inference(simplify,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl17,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN354+1 : TPTP v9.2.0. Released v2.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.36p9OBsPzd true
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 13:30:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.69 % Total configuration time : 435
% 0.56/0.69 % Estimated wc time : 1092
% 0.56/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.81 % Solved by fo/fo6_bce.sh.
% 0.62/0.81 % BCE start: 7
% 0.62/0.81 % BCE eliminated: 1
% 0.62/0.81 % PE start: 6
% 0.62/0.81 logic: neq
% 0.62/0.81 % PE eliminated: 0
% 0.62/0.81 % done 9 iterations in 0.008s
% 0.62/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.62/0.81 % SZS output start Refutation
% See solution above
% 0.62/0.81
% 0.62/0.81
% 0.62/0.81 % Terminating...
% 0.67/0.90 % Runner terminated.
% 1.72/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------