TSTP Solution File: SEU164+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU164+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZH2R9sDlS9 true
% Computer : n008.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 19:10:55 EDT 2023
% Result : Theorem 16.05s 2.87s
% Output : Refutation 16.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 10 unt; 7 typ; 0 def)
% Number of atoms : 74 ( 27 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 242 ( 22 ~; 35 |; 1 &; 178 @)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 54 ( 0 ^; 53 !; 1 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(powerset_type,type,
powerset: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(union_type,type,
union: $i > $i ).
thf(t99_zfmisc_1,conjecture,
! [A: $i] :
( ( union @ ( powerset @ A ) )
= A ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( union @ ( powerset @ A ) )
= A ),
inference('cnf.neg',[status(esa)],[t99_zfmisc_1]) ).
thf(zip_derived_cl26,plain,
( ( union @ ( powerset @ sk__7 ) )
!= sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d4_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( union @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] :
( ( in @ D @ A )
& ( in @ C @ D ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( union @ X0 ) )
| ( in @ ( sk__3 @ X1 @ X0 ) @ ( sk__4 @ X1 @ X0 ) )
| ( in @ ( sk__3 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ) ).
thf(zip_derived_cl23,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(d1_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( B
= ( powerset @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( subset @ C @ A ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( X2
!= ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
| ~ ( subset @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] : ( in @ X0 @ ( powerset @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl40]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( union @ X0 ) )
| ( in @ ( sk__4 @ X1 @ X0 ) @ X0 )
| ( in @ ( sk__3 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
= ( union @ X0 ) )
| ~ ( in @ ( sk__3 @ X1 @ X0 ) @ X2 )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ ( sk__3 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk__3 @ X0 @ X1 ) @ X0 )
| ~ ( in @ X0 @ X1 )
| ( X0
= ( union @ X1 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl187,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__4 @ X0 @ X1 ) @ X1 )
| ( X0
= ( union @ X1 ) )
| ( X0
= ( union @ X1 ) )
| ~ ( in @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl69]) ).
thf(zip_derived_cl188,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0
= ( union @ X1 ) )
| ( in @ ( sk__4 @ X0 @ X1 ) @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl187]) ).
thf(zip_derived_cl3781,plain,
! [X0: $i] :
( ( in @ ( sk__4 @ X0 @ ( powerset @ X0 ) ) @ ( powerset @ X0 ) )
| ( X0
= ( union @ ( powerset @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl188]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( subset @ X0 @ X2 )
| ( X1
!= ( powerset @ X2 ) ) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
| ~ ( in @ X1 @ ( powerset @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl14209,plain,
! [X0: $i] :
( ( X0
= ( union @ ( powerset @ X0 ) ) )
| ( subset @ ( sk__4 @ X0 @ ( powerset @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3781,zip_derived_cl41]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl14212,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( union @ ( powerset @ X0 ) ) )
| ( in @ X1 @ X0 )
| ~ ( in @ X1 @ ( sk__4 @ X0 @ ( powerset @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14209,zip_derived_cl9]) ).
thf(zip_derived_cl14593,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 @ ( powerset @ X0 ) ) @ X0 )
| ( X0
= ( union @ ( powerset @ X0 ) ) )
| ( in @ ( sk__3 @ X0 @ ( powerset @ X0 ) ) @ X0 )
| ( X0
= ( union @ ( powerset @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl14212]) ).
thf(zip_derived_cl14609,plain,
! [X0: $i] :
( ( X0
= ( union @ ( powerset @ X0 ) ) )
| ( in @ ( sk__3 @ X0 @ ( powerset @ X0 ) ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl14593]) ).
thf(zip_derived_cl69_001,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk__3 @ X0 @ X1 ) @ X0 )
| ~ ( in @ X0 @ X1 )
| ( X0
= ( union @ X1 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl14914,plain,
! [X0: $i] :
( ( X0
= ( union @ ( powerset @ X0 ) ) )
| ( X0
= ( union @ ( powerset @ X0 ) ) )
| ~ ( in @ X0 @ ( powerset @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14609,zip_derived_cl69]) ).
thf(zip_derived_cl52_002,plain,
! [X0: $i] : ( in @ X0 @ ( powerset @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl40]) ).
thf(zip_derived_cl14917,plain,
! [X0: $i] :
( ( X0
= ( union @ ( powerset @ X0 ) ) )
| ( X0
= ( union @ ( powerset @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14914,zip_derived_cl52]) ).
thf(zip_derived_cl14918,plain,
! [X0: $i] :
( X0
= ( union @ ( powerset @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl14917]) ).
thf(zip_derived_cl14919,plain,
sk__7 != sk__7,
inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl14918]) ).
thf(zip_derived_cl14920,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl14919]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU164+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZH2R9sDlS9 true
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 21:20:02 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
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 16.05/2.87 % Solved by fo/fo5.sh.
% 16.05/2.87 % done 907 iterations in 2.113s
% 16.05/2.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 16.05/2.87 % SZS output start Refutation
% See solution above
% 16.05/2.87
% 16.05/2.87
% 16.05/2.87 % Terminating...
% 16.05/2.95 % Runner terminated.
% 16.05/2.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------