TSTP Solution File: SEU799^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU799^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gn0F7xRW3b true
% Computer : n001.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 19:17:51 EDT 2023
% Result : Theorem 0.22s 0.77s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of formulae : 24 ( 8 unt; 9 typ; 0 def)
% Number of atoms : 38 ( 5 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 137 ( 4 ~; 2 |; 0 &; 121 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 44 ( 17 ^; 27 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(injective_type,type,
injective: $i > $i > $i > $o ).
thf(dsetconstrEL_type,type,
dsetconstrEL: $o ).
thf(injFuncSet_type,type,
injFuncSet: $i > $i > $i ).
thf(funcSet_type,type,
funcSet: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(injFuncSet,axiom,
( injFuncSet
= ( ^ [A: $i,B: $i] :
( dsetconstr @ ( funcSet @ A @ B )
@ ^ [Xf: $i] : ( injective @ A @ B @ Xf ) ) ) ) ).
thf('0',plain,
( injFuncSet
= ( ^ [A: $i,B: $i] :
( dsetconstr @ ( funcSet @ A @ B )
@ ^ [Xf: $i] : ( injective @ A @ B @ Xf ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[injFuncSet]) ).
thf('1',plain,
( injFuncSet
= ( ^ [V_1: $i,V_2: $i] :
( dsetconstr @ ( funcSet @ V_1 @ V_2 )
@ ^ [V_3: $i] : ( injective @ V_1 @ V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(dsetconstrEL,axiom,
( dsetconstrEL
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf('2',plain,
( dsetconstrEL
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(injFuncSetFuncIn,conjecture,
( dsetconstrEL
=> ! [A: $i,B: $i,Xf: $i] :
( ( in @ Xf @ ( injFuncSet @ A @ B ) )
=> ( in @ Xf @ ( funcSet @ A @ B ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) )
=> ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14
@ ( dsetconstr @ ( funcSet @ X10 @ X12 )
@ ^ [V_2: $i] : ( injective @ X10 @ X12 @ V_2 ) ) )
=> ( in @ X14 @ ( funcSet @ X10 @ X12 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) )
=> ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X14
@ ( dsetconstr @ ( funcSet @ X10 @ X12 )
@ ^ [V_2: $i] : ( injective @ X10 @ X12 @ V_2 ) ) )
=> ( in @ X14 @ ( funcSet @ X10 @ X12 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( in @ sk__5 @ ( funcSet @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
( in @ sk__5
@ ( dsetconstr @ ( funcSet @ sk__3 @ sk__4 )
@ ^ [Y0: $i] : ( injective @ sk__3 @ sk__4 @ Y0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
in @ sk__5 @ ( dsetconstr @ ( funcSet @ sk__3 @ sk__4 ) @ ( injective @ sk__3 @ sk__4 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ( in @ X0 @ X1 )
| ~ ( in @ X0
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ( in @ X0 @ X1 )
| ~ ( in @ X0 @ ( dsetconstr @ X1 @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
in @ sk__5 @ ( funcSet @ sk__3 @ sk__4 ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU799^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gn0F7xRW3b true
% 0.15/0.36 % Computer : n001.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 23 20:11:09 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.37 % Running in HO mode
% 0.22/0.66 % Total configuration time : 828
% 0.22/0.66 % Estimated wc time : 1656
% 0.22/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77 % Solved by lams/40_c.s.sh.
% 0.22/0.77 % done 3 iterations in 0.008s
% 0.22/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.77 % SZS output start Refutation
% See solution above
% 0.22/0.77
% 0.22/0.77
% 0.22/0.77 % Terminating...
% 0.55/0.87 % Runner terminated.
% 1.55/0.88 % Zipperpin 1.5 exiting
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