%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO035^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dYU5uQVAD8 true
% Computer : n024.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 05:06:15 PM UTC 2025
% Result : Theorem 0.53s 0.72s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 32 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 50 ( 4 ~; 2 |; 0 &; 31 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 29 ^; 20 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i ).
thf(leibeq2_type,type,
leibeq2: ( $i > $o ) > ( $i > $o ) > $o ).
thf(leibeq1_type,type,
leibeq1: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(leibeq2,axiom,
( leibeq2
= ( ^ [X: $i > $o,Y: $i > $o] :
! [P: ( $i > $o ) > $o] :
( ( P @ X )
=> ( P @ Y ) ) ) ) ).
thf('0',plain,
( leibeq2
= ( ^ [X: $i > $o,Y: $i > $o] :
! [P: ( $i > $o ) > $o] :
( ( P @ X )
=> ( P @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[leibeq2]) ).
thf('1',plain,
( leibeq2
= ( ^ [V_1: $i > $o,V_2: $i > $o] :
! [X4: ( $i > $o ) > $o] :
( ( X4 @ V_1 )
=> ( X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(leibeq1,axiom,
( leibeq1
= ( ^ [X: $i,Y: $i] :
! [P: $i > $o] :
( ( P @ X )
=> ( P @ Y ) ) ) ) ).
thf('2',plain,
( leibeq1
= ( ^ [X: $i,Y: $i] :
! [P: $i > $o] :
( ( P @ X )
=> ( P @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[leibeq1]) ).
thf('3',plain,
( leibeq1
= ( ^ [V_1: $i,V_2: $i] :
! [X4: $i > $o] :
( ( X4 @ V_1 )
=> ( X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(conj,conjecture,
! [X: $i,Y: $i] :
( ( leibeq2
@ ^ [Z: $i] : ( Z = X )
@ ^ [Z: $i] : ( Z = Y ) )
=> ( leibeq1 @ X @ Y ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ! [X8: ( $i > $o ) > $o] :
( ( X8
@ ^ [V_1: $i] : ( V_1 = X4 ) )
=> ( X8
@ ^ [V_2: $i] : ( V_2 = X6 ) ) )
=> ! [X10: $i > $o] :
( ( X10 @ X4 )
=> ( X10 @ X6 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ! [X8: ( $i > $o ) > $o] :
( ( X8
@ ^ [V_1: $i] : ( V_1 = X4 ) )
=> ( X8
@ ^ [V_2: $i] : ( V_2 = X6 ) ) )
=> ! [X10: $i > $o] :
( ( X10 @ X4 )
=> ( X10 @ X6 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( sk__4 @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: ( $i > $o ) > $o] :
( ( X0
@ ^ [Y0: $i] : ( Y0 = sk__3 ) )
| ~ ( X0
@ ^ [Y0: $i] : ( Y0 = sk__2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl20,plain,
( ^ [Y0: $i > $o] :
( Y0
= ( ^ [Y1: $i] : ( Y1 = sk__2 ) ) )
@ ^ [Y0: $i] : ( Y0 = sk__3 ) ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl32,plain,
( ( ^ [Y0: $i] : ( Y0 = sk__3 ) )
= ( ^ [Y0: $i] : ( Y0 = sk__2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl33,plain,
( ( ^ [Y0: $i] : ( Y0 = sk__3 ) )
= ( ^ [Y0: $i] : ( Y0 = sk__2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl59,plain,
! [X1: $i] :
( ( ^ [Y0: $i] : ( Y0 = sk__3 )
@ X1 )
= ( ^ [Y0: $i] : ( Y0 = sk__2 )
@ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl60,plain,
! [X1: $i] :
( ( X1 = sk__3 )
= ( X1 = sk__2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ( X0 = sk__2 )
| ( X0 != sk__3 ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl65,plain,
sk__3 = sk__2,
inference(simplify,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl2,plain,
sk__4 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl67,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl65,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO035^1 : TPTP v9.2.0. Released v3.7.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dYU5uQVAD8 true
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 18:09:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.53/0.64 % Total configuration time : 828
% 0.53/0.64 % Estimated wc time : 1656
% 0.53/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.69 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.72 % Solved by lams/40_c.s.sh.
% 0.53/0.72 % done 9 iterations in 0.027s
% 0.53/0.72 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.72 % SZS output start Refutation
% See solution above
% 0.53/0.72
% 0.53/0.72
% 0.53/0.72 % Terminating...
% 0.59/0.83 % Runner terminated.
% 0.59/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------