TSTP Solution File: SET941+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET941+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aIeu6us2We true
% Computer : n009.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 16:16:55 EDT 2023
% Result : Theorem 0.59s 0.77s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 3 unt; 7 typ; 0 def)
% Number of atoms : 53 ( 3 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 193 ( 18 ~; 22 |; 1 &; 144 @)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 41 ( 0 ^; 40 !; 1 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(union_type,type,
union: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(t94_zfmisc_1,conjecture,
! [A: $i,B: $i] :
( ! [C: $i] :
( ( in @ C @ A )
=> ( subset @ C @ B ) )
=> ( subset @ ( union @ A ) @ B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ! [C: $i] :
( ( in @ C @ A )
=> ( subset @ C @ B ) )
=> ( subset @ ( union @ A ) @ B ) ),
inference('cnf.neg',[status(esa)],[t94_zfmisc_1]) ).
thf(zip_derived_cl14,plain,
~ ( subset @ ( union @ sk__6 ) @ 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_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ ( sk__3 @ X0 @ X2 ) )
| ( X1
!= ( union @ X2 ) ) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
thf(zip_derived_cl100,plain,
! [X0: $i,X1: $i] :
( ( in @ X1 @ ( sk__3 @ X1 @ X0 ) )
| ~ ( in @ X1 @ ( union @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ ( sk__3 @ X0 @ X2 ) @ X2 )
| ( X1
!= ( union @ X2 ) ) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
thf(zip_derived_cl101,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__3 @ X1 @ X0 ) @ X0 )
| ~ ( in @ X1 @ ( union @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( subset @ X0 @ sk__7 )
| ~ ( in @ X0 @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,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_cl90,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ sk__6 )
| ~ ( in @ X1 @ X0 )
| ( in @ X1 @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).
thf(zip_derived_cl104,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ ( union @ sk__6 ) )
| ~ ( in @ X1 @ ( sk__3 @ X0 @ sk__6 ) )
| ( in @ X1 @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl90]) ).
thf(zip_derived_cl107,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( union @ sk__6 ) @ X0 )
| ~ ( in @ X1 @ ( sk__3 @ ( sk_ @ X0 @ ( union @ sk__6 ) ) @ sk__6 ) )
| ( in @ X1 @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl104]) ).
thf(zip_derived_cl169,plain,
! [X0: $i] :
( ~ ( in @ ( sk_ @ X0 @ ( union @ sk__6 ) ) @ ( union @ sk__6 ) )
| ( subset @ ( union @ sk__6 ) @ X0 )
| ( in @ ( sk_ @ X0 @ ( union @ sk__6 ) ) @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl107]) ).
thf(zip_derived_cl3_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl187,plain,
! [X0: $i] :
( ( in @ ( sk_ @ X0 @ ( union @ sk__6 ) ) @ sk__7 )
| ( subset @ ( union @ sk__6 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl169,zip_derived_cl3]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl190,plain,
( ( subset @ ( union @ sk__6 ) @ sk__7 )
| ( subset @ ( union @ sk__6 ) @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl187,zip_derived_cl2]) ).
thf(zip_derived_cl191,plain,
subset @ ( union @ sk__6 ) @ sk__7,
inference(simplify,[status(thm)],[zip_derived_cl190]) ).
thf(zip_derived_cl198,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET941+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aIeu6us2We true
% 0.13/0.35 % Computer : n009.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 : Sat Aug 26 08:47:05 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
% 0.55/0.63 % Total configuration time : 435
% 0.55/0.63 % Estimated wc time : 1092
% 0.55/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.77 % Solved by fo/fo6_bce.sh.
% 0.59/0.77 % BCE start: 15
% 0.59/0.77 % BCE eliminated: 0
% 0.59/0.77 % PE start: 15
% 0.59/0.77 logic: eq
% 0.59/0.77 % PE eliminated: 1
% 0.59/0.77 % done 40 iterations in 0.039s
% 0.59/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.77 % SZS output start Refutation
% See solution above
% 0.59/0.77
% 0.59/0.77
% 0.59/0.77 % Terminating...
% 0.59/0.85 % Runner terminated.
% 0.59/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------