%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN056+1 : TPTP v9.2.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SvxZH7rTol true
% Computer : n010.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 05:03:52 PM UTC 2025
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 95 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 207 ( 54 ~; 49 |; 1 &; 94 @)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 40 ( 0 ^; 38 !; 2 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_p_type,type,
big_p: $i > $o ).
thf(big_r_type,type,
big_r: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(big_q_type,type,
big_q: $i > $o ).
thf(big_s_type,type,
big_s: $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(pel26,conjecture,
( ! [X: $i] :
( ( big_p @ X )
=> ( big_r @ X ) )
<=> ! [Y: $i] :
( ( big_q @ Y )
=> ( big_s @ Y ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [X: $i] :
( ( big_p @ X )
=> ( big_r @ X ) )
<=> ! [Y: $i] :
( ( big_q @ Y )
=> ( big_s @ Y ) ) ),
inference('cnf.neg',[status(esa)],[pel26]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ~ ( big_q @ X0 )
| ( big_s @ X0 )
| ~ ( big_p @ X1 )
| ( big_r @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(pel26_2,axiom,
! [X: $i,Y: $i] :
( ( ( big_p @ X )
& ( big_q @ Y ) )
=> ( ( big_r @ X )
<=> ( big_s @ Y ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ~ ( big_p @ X0 )
| ~ ( big_q @ X1 )
| ( big_r @ X0 )
| ~ ( big_s @ X1 ) ),
inference(cnf,[status(esa)],[pel26_2]) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i] :
( ( big_r @ X1 )
| ~ ( big_p @ X1 )
| ~ ( big_q @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( big_p @ X0 )
| ~ ( big_q @ X1 )
| ( big_s @ X1 )
| ~ ( big_r @ X0 ) ),
inference(cnf,[status(esa)],[pel26_2]) ).
thf(zip_derived_cl6,plain,
( ~ ( big_s @ sk__2 )
| ( big_p @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl58,plain,
! [X0: $i] :
( ~ ( big_r @ X0 )
| ~ ( big_q @ sk__2 )
| ~ ( big_p @ X0 )
| ( big_p @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
( ( big_q @ sk__2 )
| ( big_p @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl67,plain,
! [X0: $i] :
( ( big_p @ sk__3 )
| ~ ( big_p @ X0 )
| ~ ( big_r @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl58,zip_derived_cl8]) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i] :
( ~ ( big_q @ X1 )
| ~ ( big_p @ X0 )
| ( big_p @ sk__3 )
| ~ ( big_p @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl67]) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i] :
( ( big_p @ sk__3 )
| ~ ( big_p @ X0 )
| ~ ( big_q @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl76_001,plain,
! [X0: $i,X1: $i] :
( ( big_r @ X1 )
| ~ ( big_p @ X1 )
| ~ ( big_q @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).
thf(zip_derived_cl2_002,plain,
! [X0: $i,X1: $i] :
( ~ ( big_p @ X0 )
| ~ ( big_q @ X1 )
| ( big_s @ X1 )
| ~ ( big_r @ X0 ) ),
inference(cnf,[status(esa)],[pel26_2]) ).
thf(zip_derived_cl5,plain,
( ~ ( big_s @ sk__2 )
| ~ ( big_r @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ~ ( big_r @ X0 )
| ~ ( big_q @ sk__2 )
| ~ ( big_p @ X0 )
| ~ ( big_r @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl5]) ).
thf(zip_derived_cl7,plain,
( ( big_q @ sk__2 )
| ~ ( big_r @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl59,plain,
! [X0: $i] :
( ~ ( big_r @ sk__3 )
| ~ ( big_p @ X0 )
| ~ ( big_r @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl57,zip_derived_cl7]) ).
thf(zip_derived_cl60,plain,
( ~ ( big_r @ sk__3 )
| ~ ( big_p @ sk__3 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl81,plain,
! [X0: $i] :
( ~ ( big_q @ X0 )
| ~ ( big_p @ sk__3 )
| ~ ( big_p @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl60]) ).
thf(zip_derived_cl84,plain,
! [X0: $i] :
( ~ ( big_p @ sk__3 )
| ~ ( big_q @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl118,plain,
! [X0: $i,X1: $i] :
( ~ ( big_q @ X1 )
| ~ ( big_p @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl83,zip_derived_cl84]) ).
thf(pel26_1,axiom,
( ? [X: $i] : ( big_p @ X )
<=> ? [Y: $i] : ( big_q @ Y ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( big_q @ sk__1 )
| ~ ( big_p @ X0 ) ),
inference(cnf,[status(esa)],[pel26_1]) ).
thf(zip_derived_cl119,plain,
! [X0: $i,X1: $i] :
( ~ ( big_p @ X0 )
| ~ ( big_p @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl118,zip_derived_cl0]) ).
thf(zip_derived_cl128,plain,
! [X0: $i] :
~ ( big_p @ X0 ),
inference(condensation,[status(thm)],[zip_derived_cl119]) ).
thf(zip_derived_cl8_003,plain,
( ( big_q @ sk__2 )
| ( big_p @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( big_p @ sk_ )
| ~ ( big_q @ X0 ) ),
inference(cnf,[status(esa)],[pel26_1]) ).
thf(zip_derived_cl45,plain,
( ( big_p @ sk__3 )
| ( big_p @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i] :
( ( big_q @ sk__1 )
| ~ ( big_p @ X0 ) ),
inference(cnf,[status(esa)],[pel26_1]) ).
thf(zip_derived_cl1_005,plain,
! [X0: $i] :
( ( big_p @ sk_ )
| ~ ( big_q @ X0 ) ),
inference(cnf,[status(esa)],[pel26_1]) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ~ ( big_p @ X0 )
| ( big_p @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).
thf(zip_derived_cl52,plain,
( ( big_p @ sk_ )
| ( big_p @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl46]) ).
thf(zip_derived_cl55,plain,
big_p @ sk_,
inference(simplify,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl131,plain,
$false,
inference('s_sup+',[status(thm)],[zip_derived_cl128,zip_derived_cl55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN056+1 : TPTP v9.2.0. Released v2.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SvxZH7rTol true
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 13:38:53 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % Solved by fo/fo6_bce.sh.
% 0.56/0.75 % BCE start: 9
% 0.56/0.75 % BCE eliminated: 0
% 0.56/0.75 % PE start: 9
% 0.56/0.75 logic: neq
% 0.56/0.75 % PE eliminated: 0
% 0.56/0.75 % done 27 iterations in 0.020s
% 0.56/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.75 % SZS output start Refutation
% See solution above
% 0.56/0.75
% 0.56/0.75
% 0.56/0.75 % Terminating...
% 0.60/0.85 % Runner terminated.
% 1.54/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------