%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET640^3 : 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.29c06qWjO3 true
% Computer : n007.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 04:52:33 PM UTC 2025
% Result : Theorem 0.63s 0.81s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of formulae : 10 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 6 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 44 ( 1 ~; 0 |; 3 &; 32 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 2 con; 0-4 aty)
% Number of variables : 40 ( 20 ^; 20 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(cartesian_product_type,type,
cartesian_product: ( $i > $o ) > ( $i > $o ) > $i > $i > $o ).
thf(sub_rel_type,type,
sub_rel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(sub_rel,axiom,
( sub_rel
= ( ^ [R1: $i > $i > $o,R2: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R1 @ X @ Y )
=> ( R2 @ X @ Y ) ) ) ) ).
thf('0',plain,
( sub_rel
= ( ^ [R1: $i > $i > $o,R2: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R1 @ X @ Y )
=> ( R2 @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[sub_rel]) ).
thf('1',plain,
( sub_rel
= ( ^ [V_1: $i > $i > $o,V_2: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ( V_2 @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(cartesian_product,axiom,
( cartesian_product
= ( ^ [X: $i > $o,Y: $i > $o,U: $i,V: $i] :
( ( X @ U )
& ( Y @ V ) ) ) ) ).
thf('2',plain,
( cartesian_product
= ( ^ [X: $i > $o,Y: $i > $o,U: $i,V: $i] :
( ( X @ U )
& ( Y @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cartesian_product]) ).
thf('3',plain,
( cartesian_product
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i,V_4: $i] :
( ( V_1 @ V_3 )
& ( V_2 @ V_4 ) ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
! [R: $i > $i > $o,Q: $i > $i > $o] :
( ( sub_rel @ R @ Q )
=> ( sub_rel @ R
@ ( cartesian_product
@ ^ [X: $i] : $true
@ ^ [X: $i] : $true ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o,X6: $i > $i > $o] :
( ! [X8: $i,X10: $i] :
( ( X4 @ X8 @ X10 )
=> ( X6 @ X8 @ X10 ) )
=> ! [X12: $i,X14: $i] : $true ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o,X6: $i > $i > $o] :
( ! [X8: $i,X10: $i] :
( ( X4 @ X8 @ X10 )
=> ( X6 @ X8 @ X10 ) )
=> ! [X12: $i,X14: $i] : $true ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
$false,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET640^3 : TPTP v9.2.0. Released v3.6.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.29c06qWjO3 true
% 0.14/0.37 % Computer : n007.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Wed Oct 1 13:12:08 EDT 2025
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.38 % Running in HO mode
% 0.59/0.70 % Total configuration time : 828
% 0.59/0.70 % Estimated wc time : 1656
% 0.59/0.70 % Estimated cpu time (8 cpus) : 207.0
% 0.63/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.63/0.79 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.63/0.80 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.63/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.63/0.81 % Solved by lams/40_c.s.sh.
% 0.63/0.81 % done 0 iterations in 0.008s
% 0.63/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.63/0.81 % SZS output start Refutation
% See solution above
% 0.63/0.81
% 0.63/0.81
% 0.63/0.81 % Terminating...
% 1.91/0.89 % Runner terminated.
% 1.91/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------