TSTP Solution File: SEU126+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU126+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.Oby6pZ6QrG true
% Computer : n015.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 19:10:35 EDT 2023
% Result : Theorem 2.21s 0.95s
% Output : Refutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 4 unt; 6 typ; 0 def)
% Number of atoms : 40 ( 15 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 140 ( 10 ~; 16 |; 0 &; 108 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 30 ( 0 ^; 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(set_union2_type,type,
set_union2: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i > $i ).
thf(d2_xboole_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_union2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
| ( in @ D @ B ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( set_union2 @ X0 @ X1 ) )
| ~ ( in @ ( sk_ @ X2 @ X1 @ X0 ) @ X1 )
| ~ ( in @ ( sk_ @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[d2_xboole_0]) ).
thf(zip_derived_cl112,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk_ @ X0 @ X0 @ X1 ) @ X0 )
| ( X0
= ( set_union2 @ X1 @ X0 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( set_union2 @ X0 @ X1 ) )
| ( in @ ( sk_ @ X2 @ X1 @ X0 ) @ X1 )
| ( in @ ( sk_ @ X2 @ X1 @ X0 ) @ X0 )
| ( in @ ( sk_ @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[d2_xboole_0]) ).
thf(zip_derived_cl201,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( set_union2 @ X1 @ X0 ) )
| ( X0
= ( set_union2 @ X1 @ X0 ) )
| ( in @ ( sk_ @ X0 @ X0 @ X1 ) @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl112,zip_derived_cl10]) ).
thf(zip_derived_cl212,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk_ @ X0 @ X0 @ X1 ) @ X1 )
| ( X0
= ( set_union2 @ X1 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl201]) ).
thf(zip_derived_cl112_001,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk_ @ X0 @ X0 @ X1 ) @ X0 )
| ( X0
= ( set_union2 @ X1 @ X0 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl8]) ).
thf(t12_xboole_1,conjecture,
! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( set_union2 @ A @ B )
= B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( set_union2 @ A @ B )
= B ) ),
inference('cnf.neg',[status(esa)],[t12_xboole_1]) ).
thf(zip_derived_cl23,plain,
subset @ sk__4 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl11,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_cl79,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__4 )
| ( in @ X0 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl11]) ).
thf(zip_derived_cl200,plain,
! [X0: $i] :
( ( sk__5
= ( set_union2 @ X0 @ sk__5 ) )
| ~ ( in @ ( sk_ @ sk__5 @ sk__5 @ X0 ) @ sk__4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl112,zip_derived_cl79]) ).
thf(zip_derived_cl768,plain,
( ( sk__5
= ( set_union2 @ sk__4 @ sk__5 ) )
| ( sk__5
= ( set_union2 @ sk__4 @ sk__5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl212,zip_derived_cl200]) ).
thf(zip_derived_cl778,plain,
( sk__5
= ( set_union2 @ sk__4 @ sk__5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl768]) ).
thf(zip_derived_cl24,plain,
( ( set_union2 @ sk__4 @ sk__5 )
!= sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl779,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl778,zip_derived_cl24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU126+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Oby6pZ6QrG true
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 19:29:35 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.21/0.95 % Solved by fo/fo1_av.sh.
% 2.21/0.95 % done 270 iterations in 0.161s
% 2.21/0.95 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.21/0.95 % SZS output start Refutation
% See solution above
% 2.21/0.95
% 2.21/0.95
% 2.21/0.95 % Terminating...
% 2.21/1.00 % Runner terminated.
% 2.21/1.01 % Zipperpin 1.5 exiting
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