%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET646^3 : TPTP v9.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Qxa25oXm3F true
% Computer : n014.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 04:52:34 PM UTC 2025
% Result : Theorem 0.11s 0.52s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of formulae : 13 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 15 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 34 ( 1 ~; 3 |; 3 &; 24 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 2 con; 0-4 aty)
% Number of variables : 48 ( 32 ^; 16 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(pair_rel_type,type,
pair_rel: $i > $i > $i > $i > $o ).
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(pair_rel,axiom,
( pair_rel
= ( ^ [X: $i,Y: $i,U: $i,V: $i] :
( ( U = X )
| ( V = Y ) ) ) ) ).
thf('2',plain,
( pair_rel
= ( ^ [X: $i,Y: $i,U: $i,V: $i] :
( ( U = X )
| ( V = Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[pair_rel]) ).
thf('3',plain,
( pair_rel
= ( ^ [V_1: $i,V_2: $i,V_3: $i,V_4: $i] :
( ( V_3 = V_1 )
| ( V_4 = V_2 ) ) ) ),
define([status(thm)]) ).
thf(cartesian_product,axiom,
( cartesian_product
= ( ^ [X: $i > $o,Y: $i > $o,U: $i,V: $i] :
( ( X @ U )
& ( Y @ V ) ) ) ) ).
thf('4',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('5',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,
! [X: $i,Y: $i] :
( sub_rel @ ( pair_rel @ X @ Y )
@ ( cartesian_product
@ ^ [X: $i] : $true
@ ^ [X: $i] : $true ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i,X8: $i,X10: $i] : $true ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i,X8: $i,X10: $i] : $true,
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
$false,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET646^3 : TPTP v9.2.0. Released v3.6.0.
% 0.00/0.08 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Qxa25oXm3F true
% 0.07/0.26 % Computer : n014.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Wed Oct 1 12:57:53 EDT 2025
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % Running portfolio for 300 s
% 0.07/0.26 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26 % Number of cores: 8
% 0.07/0.26 % Python version: Python 3.6.8
% 0.07/0.26 % Running in HO mode
% 0.11/0.44 % Total configuration time : 828
% 0.11/0.44 % Estimated wc time : 1656
% 0.11/0.44 % Estimated cpu time (8 cpus) : 207.0
% 0.11/0.48 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.11/0.50 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.11/0.51 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.11/0.51 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.11/0.51 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.11/0.51 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.11/0.51 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.11/0.51 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.11/0.52 % Solved by lams/40_c.s.sh.
% 0.11/0.52 % done 0 iterations in 0.016s
% 0.11/0.52 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.11/0.52 % SZS output start Refutation
% See solution above
% 0.11/0.52
% 0.11/0.52
% 0.11/0.52 % Terminating...
% 1.26/0.64 % Runner terminated.
% 1.26/0.65 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------