TSTP Solution File: NUM781^4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM781^4 : TPTP v8.1.2. Released v7.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HcvVwe4AHP true
% Computer : n027.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 12:44:06 EDT 2023
% Result : Theorem 1.48s 0.87s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 21
% Syntax : Number of formulae : 30 ( 16 unt; 11 typ; 0 def)
% Number of atoms : 59 ( 22 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 67 ( 3 ~; 0 |; 0 &; 54 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 30 ( 23 ^; 7 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(rt_is_type,type,
rt_is: $i > $i > $o ).
thf(is_of_type,type,
is_of: $i > ( $i > $o ) > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(ect_type,type,
ect: $i > ( $i > $i > $o ) > $i ).
thf(rat_type,type,
rat: $i ).
thf(frac_type,type,
frac: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(n_eq_type,type,
n_eq: $i > $i > $o ).
thf(all_of_type,type,
all_of: ( $i > $o ) > ( $i > $o ) > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(e_is_type,type,
e_is: $i > $i > $i > $o ).
thf(def_rt_is,axiom,
( rt_is
= ( e_is @ rat ) ) ).
thf(def_rat,axiom,
( rat
= ( ect @ frac @ n_eq ) ) ).
thf('0',plain,
( rat
= ( ect @ frac @ n_eq ) ),
inference(simplify_rw_rule,[status(thm)],[def_rat]) ).
thf('1',plain,
( rat
= ( ect @ frac @ n_eq ) ),
define([status(thm)]) ).
thf(def_e_is,axiom,
( e_is
= ( ^ [X0: $i,X: $i,Y: $i] : ( X = Y ) ) ) ).
thf('2',plain,
( e_is
= ( ^ [X0: $i,X: $i,Y: $i] : ( X = Y ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_e_is]) ).
thf('3',plain,
( e_is
= ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( V_2 = V_3 ) ) ),
define([status(thm)]) ).
thf('4',plain,
( rt_is
= ( e_is @ rat ) ),
inference(simplify_rw_rule,[status(thm)],[def_rt_is,'1','3']) ).
thf('5',plain,
( rt_is
= ( e_is @ rat ) ),
define([status(thm)]) ).
thf(def_all_of,axiom,
( all_of
= ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) ) ) ).
thf('6',plain,
( all_of
= ( ^ [X0: $i > $o,X1: $i > $o] :
! [X2: $i] :
( ( is_of @ X2 @ X0 )
=> ( X1 @ X2 ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[def_all_of]) ).
thf('7',plain,
( all_of
= ( ^ [V_1: $i > $o,V_2: $i > $o] :
! [X4: $i] :
( ( is_of @ X4 @ V_1 )
=> ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(satz79,conjecture,
( all_of
@ ^ [X0: $i] : ( in @ X0 @ rat )
@ ^ [X0: $i] :
( all_of
@ ^ [X1: $i] : ( in @ X1 @ rat )
@ ^ [X1: $i] :
( ( rt_is @ X0 @ X1 )
=> ( rt_is @ X1 @ X0 ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ( is_of @ X4
@ ^ [V_1: $i] : ( in @ V_1 @ ( ect @ frac @ n_eq ) ) )
=> ! [X6: $i] :
( ( is_of @ X6
@ ^ [V_2: $i] : ( in @ V_2 @ ( ect @ frac @ n_eq ) ) )
=> ( ( X4 = X6 )
=> ( X6 = X4 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ( is_of @ X4
@ ^ [V_1: $i] : ( in @ V_1 @ ( ect @ frac @ n_eq ) ) )
=> ! [X6: $i] :
( ( is_of @ X6
@ ^ [V_2: $i] : ( in @ V_2 @ ( ect @ frac @ n_eq ) ) )
=> ( ( X4 = X6 )
=> ( X6 = X4 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl47,plain,
sk__6 != sk__5,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl46,plain,
sk__5 = sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl49,plain,
sk__5 != sk__5,
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl46]) ).
thf(zip_derived_cl50,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : NUM781^4 : TPTP v8.1.2. Released v7.1.0.
% 0.13/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HcvVwe4AHP true
% 0.16/0.36 % Computer : n027.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri Aug 25 18:21:49 EDT 2023
% 0.22/0.36 % CPUTime :
% 0.22/0.36 % Running portfolio for 300 s
% 0.22/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.36 % Number of cores: 8
% 0.22/0.37 % Python version: Python 3.6.8
% 0.22/0.37 % Running in HO mode
% 0.22/0.67 % Total configuration time : 828
% 0.22/0.67 % Estimated wc time : 1656
% 0.22/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.36/0.87 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.48/0.87 % Solved by lams/40_c.s.sh.
% 1.48/0.87 % done 1 iterations in 0.079s
% 1.48/0.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.48/0.87 % SZS output start Refutation
% See solution above
% 1.48/0.87
% 1.48/0.87
% 1.48/0.87 % Terminating...
% 1.61/0.97 % Runner terminated.
% 1.61/0.98 % Zipperpin 1.5 exiting
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