TSTP Solution File: QUA002^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : QUA002^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.h8cIBUxAe2 true
% Computer : n032.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 Aug 31 13:32:22 EDT 2023
% Result : Theorem 0.17s 0.67s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 23 ( 15 unt; 6 typ; 0 def)
% Number of atoms : 62 ( 43 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 63 ( 5 ~; 15 |; 0 &; 40 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-3 aty)
% ( 3 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 42 ( 36 ^; 6 !; 0 ?; 42 :)
% 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('#sk2_type',type,
'#sk2': $i ).
thf(sup_type,type,
sup: ( $i > $o ) > $i ).
thf('#sk1_type',type,
'#sk1': $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_comm,conjecture,
! [X1: $i,X2: $i] :
( ( addition @ X1 @ X2 )
= ( addition @ X2 @ X1 ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ( sup
@ ^ [V_1: $i] :
( ( V_1 = X6 )
| ( V_1 = X4 ) ) )
= ( sup
@ ^ [V_2: $i] :
( ( V_2 = X4 )
| ( V_2 = X6 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ( sup
@ ^ [V_1: $i] :
( ( V_1 = X6 )
| ( V_1 = X4 ) ) )
= ( sup
@ ^ [V_2: $i] :
( ( V_2 = X4 )
| ( V_2 = X6 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( sup
@ ^ [Y2: $i] :
( ( Y2 = Y1 )
| ( Y2 = Y0 ) ) )
= ( sup
@ ^ [Y2: $i] :
( ( Y2 = Y0 )
| ( Y2 = Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( sup
@ ^ [Y1: $i] :
( ( Y1 = Y0 )
| ( Y1 = '#sk1' ) ) )
= ( sup
@ ^ [Y1: $i] :
( ( Y1 = '#sk1' )
| ( Y1 = Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl11,plain,
( ( sup
@ ^ [Y0: $i] :
( ( Y0 = '#sk2' )
| ( Y0 = '#sk1' ) ) )
!= ( sup
@ ^ [Y0: $i] :
( ( Y0 = '#sk1' )
| ( Y0 = '#sk2' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl12,plain,
( ( sup
@ ^ [Y0: $i] :
( ( Y0 = '#sk2' )
| ( Y0 = '#sk1' ) ) )
!= ( sup
@ ^ [Y0: $i] :
( ( Y0 = '#sk1' )
| ( Y0 = '#sk2' ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl13,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : QUA002^1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.h8cIBUxAe2 true
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sat Aug 26 16:43:29 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.31 % Number of cores: 8
% 0.16/0.31 % Python version: Python 3.6.8
% 0.16/0.31 % Running in HO mode
% 0.17/0.56 % Total configuration time : 828
% 0.17/0.56 % Estimated wc time : 1656
% 0.17/0.56 % Estimated cpu time (8 cpus) : 207.0
% 0.17/0.60 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.17/0.60 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.17/0.60 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.17/0.63 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.17/0.65 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.17/0.66 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.17/0.67 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.17/0.67 % Solved by lams/15_e_short1.sh.
% 0.17/0.67 % done 0 iterations in 0.012s
% 0.17/0.67 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.17/0.67 % SZS output start Refutation
% See solution above
% 0.17/0.67
% 0.17/0.67
% 0.17/0.67 % Terminating...
% 1.55/0.76 % Runner terminated.
% 1.55/0.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------