TSTP Solution File: SEU706^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU706^2 : 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.KYR0NrMYeK true
% Computer : n017.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 19:16:25 EDT 2023
% Result : Theorem 0.22s 0.80s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 27
% Syntax : Number of formulae : 40 ( 22 unt; 13 typ; 0 def)
% Number of atoms : 109 ( 66 equ; 0 cnn)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 176 ( 5 ~; 2 |; 5 &; 115 @)
% ( 4 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 70 ( 3 ^; 62 !; 5 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
thf(uniqinunit_type,type,
uniqinunit: $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(in__Cong_type,type,
in__Cong: $o ).
thf(setunion_type,type,
setunion: $i > $i ).
thf(singleton_type,type,
singleton: $i > $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(setunionsingleton_type,type,
setunionsingleton: $o ).
thf(setunion__Cong_type,type,
setunion__Cong: $o ).
thf(setadjoin__Cong_type,type,
setadjoin__Cong: $o ).
thf(singleton,axiom,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( A
= ( setadjoin @ Xx @ emptyset ) )
& ( in @ Xx @ A ) ) ) ) ).
thf('0',plain,
( singleton
= ( ^ [A: $i] :
? [Xx: $i] :
( ( A
= ( setadjoin @ Xx @ emptyset ) )
& ( in @ Xx @ A ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[singleton]) ).
thf('1',plain,
( singleton
= ( ^ [V_1: $i] :
? [X4: $i] :
( ( V_1
= ( setadjoin @ X4 @ emptyset ) )
& ( in @ X4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(setunionsingleton,axiom,
( setunionsingleton
= ( ! [Xx: $i] :
( ( setunion @ ( setadjoin @ Xx @ emptyset ) )
= Xx ) ) ) ).
thf('2',plain,
( setunionsingleton
= ( ! [X4: $i] :
( ( setunion @ ( setadjoin @ X4 @ emptyset ) )
= X4 ) ) ),
define([status(thm)]) ).
thf(setunion__Cong,axiom,
( setunion__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ( ( setunion @ A )
= ( setunion @ B ) ) ) ) ) ).
thf('3',plain,
( setunion__Cong
= ( ! [X4: $i,X6: $i] :
( ( X4 = X6 )
=> ( ( setunion @ X4 )
= ( setunion @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(setadjoin__Cong,axiom,
( setadjoin__Cong
= ( ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ! [Xz: $i,Xu: $i] :
( ( Xz = Xu )
=> ( ( setadjoin @ Xx @ Xz )
= ( setadjoin @ Xy @ Xu ) ) ) ) ) ) ).
thf('4',plain,
( setadjoin__Cong
= ( ! [X4: $i,X6: $i] :
( ( X4 = X6 )
=> ! [X8: $i,X10: $i] :
( ( X8 = X10 )
=> ( ( setadjoin @ X4 @ X8 )
= ( setadjoin @ X6 @ X10 ) ) ) ) ) ),
define([status(thm)]) ).
thf(in__Cong,axiom,
( in__Cong
= ( ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xx: $i,Xy: $i] :
( ( Xx = Xy )
=> ( ( in @ Xx @ A )
<=> ( in @ Xy @ B ) ) ) ) ) ) ).
thf('5',plain,
( in__Cong
= ( ! [X4: $i,X6: $i] :
( ( X4 = X6 )
=> ! [X8: $i,X10: $i] :
( ( X8 = X10 )
=> ( ( in @ X8 @ X4 )
<=> ( in @ X10 @ X6 ) ) ) ) ) ),
define([status(thm)]) ).
thf(uniqinunit,axiom,
( uniqinunit
= ( ! [Xx: $i,Xy: $i] :
( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) )
=> ( Xx = Xy ) ) ) ) ).
thf('6',plain,
( uniqinunit
= ( ! [X4: $i,X6: $i] :
( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
=> ( X4 = X6 ) ) ) ),
define([status(thm)]) ).
thf(theeq,conjecture,
( uniqinunit
=> ( in__Cong
=> ( setadjoin__Cong
=> ( setunion__Cong
=> ( setunionsingleton
=> ! [X: $i] :
( ( singleton @ X )
=> ! [Xx: $i] :
( ( in @ Xx @ X )
=> ( ( setunion @ X )
= Xx ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
=> ( X4 = X6 ) )
=> ( ! [X8: $i,X10: $i] :
( ( X8 = X10 )
=> ! [X12: $i,X14: $i] :
( ( X12 = X14 )
=> ( ( in @ X12 @ X8 )
<=> ( in @ X14 @ X10 ) ) ) )
=> ( ! [X16: $i,X18: $i] :
( ( X16 = X18 )
=> ! [X20: $i,X22: $i] :
( ( X20 = X22 )
=> ( ( setadjoin @ X16 @ X20 )
= ( setadjoin @ X18 @ X22 ) ) ) )
=> ( ! [X24: $i,X26: $i] :
( ( X24 = X26 )
=> ( ( setunion @ X24 )
= ( setunion @ X26 ) ) )
=> ( ! [X28: $i] :
( ( setunion @ ( setadjoin @ X28 @ emptyset ) )
= X28 )
=> ! [X30: $i] :
( ? [X32: $i] :
( ( X30
= ( setadjoin @ X32 @ emptyset ) )
& ( in @ X32 @ X30 ) )
=> ! [X34: $i] :
( ( in @ X34 @ X30 )
=> ( ( setunion @ X30 )
= X34 ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) )
=> ( X4 = X6 ) )
=> ( ! [X8: $i,X10: $i] :
( ( X8 = X10 )
=> ! [X12: $i,X14: $i] :
( ( X12 = X14 )
=> ( ( in @ X12 @ X8 )
<=> ( in @ X14 @ X10 ) ) ) )
=> ( ! [X16: $i,X18: $i] :
( ( X16 = X18 )
=> ! [X20: $i,X22: $i] :
( ( X20 = X22 )
=> ( ( setadjoin @ X16 @ X20 )
= ( setadjoin @ X18 @ X22 ) ) ) )
=> ( ! [X24: $i,X26: $i] :
( ( X24 = X26 )
=> ( ( setunion @ X24 )
= ( setunion @ X26 ) ) )
=> ( ! [X28: $i] :
( ( setunion @ ( setadjoin @ X28 @ emptyset ) )
= X28 )
=> ! [X30: $i] :
( ? [X32: $i] :
( ( X30
= ( setadjoin @ X32 @ emptyset ) )
& ( in @ X32 @ X30 ) )
=> ! [X34: $i] :
( ( in @ X34 @ X30 )
=> ( ( setunion @ X30 )
= X34 ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
in @ sk__15 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
( sk__14
= ( setadjoin @ sk__16 @ emptyset ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( in @ X1 @ ( setadjoin @ X0 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__14 )
| ( X0 = sk__16 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl23,plain,
sk__15 = sk__16,
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl13]) ).
thf(zip_derived_cl4,plain,
( ( setunion @ sk__14 )
!= sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6_001,plain,
( sk__14
= ( setadjoin @ sk__16 @ emptyset ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X6: $i] :
( ( setunion @ ( setadjoin @ X6 @ emptyset ) )
= X6 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
( ( setunion @ sk__14 )
= sk__16 ),
inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl12,plain,
sk__16 != sk__15,
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl10]) ).
thf(zip_derived_cl28,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl23,zip_derived_cl12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU706^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KYR0NrMYeK true
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 19:53:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.69 % Total configuration time : 828
% 0.22/0.69 % Estimated wc time : 1656
% 0.22/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.80 % Solved by lams/40_c_ic.sh.
% 0.22/0.80 % done 8 iterations in 0.011s
% 0.22/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.80 % SZS output start Refutation
% See solution above
% 0.22/0.80
% 0.22/0.80
% 0.22/0.80 % Terminating...
% 1.56/0.88 % Runner terminated.
% 1.93/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------