%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO008^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UY3ldkkwrB true
% Computer : n012.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 05:06:11 PM UTC 2025
% Result : Theorem 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 13 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 70 ( 7 ~; 1 |; 0 &; 49 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 39 ( 15 ^; 24 !; 0 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
thf(leibeq2_type,type,
leibeq2: ( $i > $i ) > ( $i > $i ) > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(leibeq1_type,type,
leibeq1: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: ( $i > $i ) > $o ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(leibeq2,axiom,
( leibeq2
= ( ^ [X: $i > $i,Y: $i > $i] :
! [P: ( $i > $i ) > $o] :
( ( P @ X )
=> ( P @ Y ) ) ) ) ).
thf('0',plain,
( leibeq2
= ( ^ [X: $i > $i,Y: $i > $i] :
! [P: ( $i > $i ) > $o] :
( ( P @ X )
=> ( P @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[leibeq2]) ).
thf('1',plain,
( leibeq2
= ( ^ [V_1: $i > $i,V_2: $i > $i] :
! [X4: ( $i > $i ) > $o] :
( ( X4 @ V_1 )
=> ( X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(leibeq1,axiom,
( leibeq1
= ( ^ [U: $i,V: $i] :
! [Q: $i > $o] :
( ( Q @ U )
=> ( Q @ V ) ) ) ) ).
thf('2',plain,
( leibeq1
= ( ^ [U: $i,V: $i] :
! [Q: $i > $o] :
( ( Q @ U )
=> ( Q @ V ) ) ) ),
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,
! [F: $i > $i,G: $i > $i] :
( ! [X: $i] : ( leibeq1 @ ( F @ X ) @ ( G @ X ) )
=> ( leibeq2 @ F @ G ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i,X6: $i > $i] :
( ! [X8: $i,X10: $i > $o] :
( ( X10 @ ( X4 @ X8 ) )
=> ( X10 @ ( X6 @ X8 ) ) )
=> ! [X12: ( $i > $i ) > $o] :
( ( X12 @ X4 )
=> ( X12 @ X6 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i,X6: $i > $i] :
( ! [X8: $i,X10: $i > $o] :
( ( X10 @ ( X4 @ X8 ) )
=> ( X10 @ ( X6 @ X8 ) ) )
=> ! [X12: ( $i > $i ) > $o] :
( ( X12 @ X4 )
=> ( X12 @ X6 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
sk__4 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( sk__4 @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
( ( ^ [Y0: $i] : ( sk__2 @ Y0 ) )
!= ( ^ [Y0: $i] : ( sk__3 @ Y0 ) ) ),
inference(ext_sup,[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
sk__2 != sk__3,
inference(ho_norm,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
( ( sk__2 @ '#sk1' )
!= ( sk__3 @ '#sk1' ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl0,plain,
! [X0: $i > $o,X1: $i] :
( ( X0 @ ( sk__3 @ X1 ) )
| ~ ( X0 @ ( sk__2 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( ^ [Y0: $i] :
( Y0
= ( sk__2 @ X0 ) )
@ ( sk__3 @ X0 ) ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ( sk__3 @ X0 )
= ( sk__2 @ X0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl34,plain,
! [X0: $i] :
( ( sk__3 @ X0 )
= ( sk__2 @ X0 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl58,plain,
( ( sk__2 @ '#sk1' )
!= ( sk__2 @ '#sk1' ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl34]) ).
thf(zip_derived_cl59,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYO008^1 : TPTP v9.2.0. Released v3.7.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UY3ldkkwrB true
% 0.13/0.32 % Computer : n012.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Oct 1 18:10:23 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Number of cores: 8
% 0.13/0.33 % Python version: Python 3.6.8
% 0.13/0.33 % Running in HO mode
% 0.55/0.67 % Total configuration time : 828
% 0.55/0.67 % Estimated wc time : 1656
% 0.55/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.75 % Solved by lams/40_c.s.sh.
% 0.55/0.75 % done 8 iterations in 0.020s
% 0.55/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.75 % SZS output start Refutation
% See solution above
% 0.55/0.75
% 0.55/0.75
% 0.55/0.75 % Terminating...
% 1.74/0.87 % Runner terminated.
% 1.74/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------