%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU495^1 : TPTP v9.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GzrfVDrM1m true
% Computer : n016.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 04:54:47 PM UTC 2025
% Result : Theorem 0.53s 0.76s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 16 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 73 ( 4 ~; 17 |; 0 &; 49 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 31 ( 12 ^; 19 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__2_type,type,
sk__2: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(inv_type,type,
inv: ( $i > $i > $o ) > $i > $i > $o ).
thf(total_type,type,
total: ( $i > $i > $o ) > $o ).
thf(total,axiom,
( total
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ Y @ X )
| ( R @ X @ Y )
| ( X = Y ) ) ) ) ).
thf('0',plain,
( total
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ Y @ X )
| ( R @ X @ Y )
| ( X = Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[total]) ).
thf('1',plain,
( total
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X6 @ X4 )
| ( V_1 @ X4 @ X6 )
| ( X4 = X6 ) ) ) ),
define([status(thm)]) ).
thf(inverse,axiom,
( inv
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] : ( R @ Y @ X ) ) ) ).
thf('2',plain,
( inv
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] : ( R @ Y @ X ) ) ),
inference(simplify_rw_rule,[status(thm)],[inverse]) ).
thf('3',plain,
( inv
= ( ^ [V_1: $i > $i > $o,V_2: $i,V_3: $i] : ( V_1 @ V_3 @ V_2 ) ) ),
define([status(thm)]) ).
thf(inverse_of_total_relation_is_total_relation,conjecture,
! [R: $i > $i > $o] :
( ( total @ R )
=> ( total @ ( inv @ R ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o] :
( ! [X6: $i,X8: $i] :
( ( X4 @ X8 @ X6 )
| ( X4 @ X6 @ X8 )
| ( X6 = X8 ) )
=> ! [X10: $i,X12: $i] :
( ( X4 @ X10 @ X12 )
| ( X4 @ X12 @ X10 )
| ( X10 = X12 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o] :
( ! [X6: $i,X8: $i] :
( ( X4 @ X8 @ X6 )
| ( X4 @ X6 @ X8 )
| ( X6 = X8 ) )
=> ! [X10: $i,X12: $i] :
( ( X4 @ X10 @ X12 )
| ( X4 @ X12 @ X10 )
| ( X10 = X12 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( sk__2 @ sk__3 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( sk__2 @ X0 @ X1 )
| ( sk__2 @ X1 @ X0 )
| ( X1 = X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( sk__2 @ sk__4 @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
( ( sk__4 = sk__3 )
| ( sk__2 @ sk__3 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl3,plain,
sk__3 != sk__4,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
sk__2 @ sk__3 @ sk__4,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).
thf(zip_derived_cl16,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU495^1 : TPTP v9.2.0. Released v3.6.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GzrfVDrM1m true
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 16:10:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.17/0.33 % Python version: Python 3.6.8
% 0.17/0.33 % Running in HO mode
% 0.51/0.60 % Total configuration time : 828
% 0.51/0.60 % Estimated wc time : 1656
% 0.51/0.60 % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.76 % Solved by lams/40_c.s.sh.
% 0.53/0.76 % done 4 iterations in 0.017s
% 0.53/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.76 % SZS output start Refutation
% See solution above
% 0.53/0.76
% 0.53/0.76
% 0.53/0.76 % Terminating...
% 0.57/0.83 % Runner terminated.
% 0.57/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------