%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : QUA004^1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.d49Y5Xdz0V true
% Computer : n005.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 04:49:49 PM UTC 2025
% Result : Theorem 0.62s 0.82s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 18 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 25 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 36 ( 3 ~; 3 |; 0 &; 30 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 32 ( 26 ^; 6 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(union_type,type,
union: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(singleton_type,type,
singleton: $i > $i > $o ).
thf(addition_type,type,
addition: $i > $i > $i ).
thf(sup_type,type,
sup: ( $i > $o ) > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(addition_def,axiom,
( addition
= ( ^ [X: $i,Y: $i] : ( sup @ ( union @ ( singleton @ X ) @ ( singleton @ Y ) ) ) ) ) ).
thf(singleton_def,axiom,
( singleton
= ( ^ [X: $i,U: $i] : ( U = X ) ) ) ).
thf('0',plain,
( singleton
= ( ^ [X: $i,U: $i] : ( U = X ) ) ),
inference(simplify_rw_rule,[status(thm)],[singleton_def]) ).
thf('1',plain,
( singleton
= ( ^ [V_1: $i,V_2: $i] : ( V_2 = V_1 ) ) ),
define([status(thm)]) ).
thf(union_def,axiom,
( union
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ) ).
thf('2',plain,
( union
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[union_def]) ).
thf('3',plain,
( union
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf('4',plain,
( addition
= ( ^ [X: $i,Y: $i] : ( sup @ ( union @ ( singleton @ X ) @ ( singleton @ Y ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[addition_def,'1','3']) ).
thf('5',plain,
( addition
= ( ^ [V_1: $i,V_2: $i] : ( sup @ ( union @ ( singleton @ V_1 ) @ ( singleton @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf(addition_idemp,conjecture,
! [X1: $i] :
( ( addition @ X1 @ X1 )
= X1 ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ( sup
@ ^ [V_1: $i] : ( V_1 = X4 ) )
= X4 ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ( sup
@ ^ [V_1: $i] : ( V_1 = X4 ) )
= X4 ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
( ( sup
@ ^ [Y0: $i] : ( Y0 = sk__4 ) )
!= sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(sup_singleset,axiom,
! [X: $i] :
( ( sup @ ( singleton @ X ) )
= X ) ).
thf(zf_stmt_2,axiom,
! [X4: $i] :
( ( sup
@ ^ [V_1: $i] : ( V_1 = X4 ) )
= X4 ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( sup
@ ^ [Y0: $i] : ( Y0 = X0 ) )
= X0 ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl13,plain,
sk__4 != sk__4,
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).
thf(zip_derived_cl14,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : QUA004^1 : TPTP v9.2.0. Released v4.1.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.d49Y5Xdz0V true
% 0.13/0.36 % Computer : n005.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 11:10:23 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.59/0.71 % Total configuration time : 828
% 0.59/0.71 % Estimated wc time : 1656
% 0.59/0.71 % Estimated cpu time (8 cpus) : 207.0
% 0.61/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.61/0.78 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.61/0.80 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.61/0.81 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.62/0.82 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.62/0.82 % Solved by lams/40_c.s.sh.
% 0.62/0.82 % done 4 iterations in 0.016s
% 0.62/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.62/0.82 % SZS output start Refutation
% See solution above
% 0.62/0.82
% 0.62/0.82
% 0.62/0.82 % Terminating...
% 0.66/0.90 % Runner terminated.
% 0.66/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------