TSTP Solution File: SEU131+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU131+2 : 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.zm4tot44f2 true
% Computer : n018.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 19:10:38 EDT 2023
% Result : Theorem 1.42s 1.05s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 38 ( 5 unt; 8 typ; 0 def)
% Number of atoms : 72 ( 20 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 232 ( 27 ~; 34 |; 1 &; 163 @)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 48 ( 0 ^; 48 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i > $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(d4_xboole_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_difference @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
& ~ ( in @ D @ B ) ) ) ) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( set_difference @ X0 @ X1 ) )
| ( in @ ( sk__4 @ X2 @ X1 @ X0 ) @ X0 )
| ( in @ ( sk__4 @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
thf(l32_xboole_1,conjecture,
! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
= empty_set )
<=> ( subset @ A @ B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
= empty_set )
<=> ( subset @ A @ B ) ),
inference('cnf.neg',[status(esa)],[l32_xboole_1]) ).
thf(zip_derived_cl40,plain,
( ( subset @ sk__5 @ sk__6 )
| ( ( set_difference @ sk__5 @ sk__6 )
= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( in @ X0 @ X3 )
| ( X3
!= ( set_difference @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
thf(zip_derived_cl548,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__5 @ sk__6 )
| ~ ( in @ X1 @ sk__5 )
| ( in @ X1 @ sk__6 )
| ( in @ X1 @ X0 )
| ( X0 != empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl23]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl14,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_cl914,plain,
! [X0: $i,X1: $i] :
( ( X0 != empty_set )
| ( in @ X1 @ X0 )
| ( in @ X1 @ sk__6 )
| ~ ( in @ X1 @ sk__5 ) ),
inference(clc,[status(thm)],[zip_derived_cl548,zip_derived_cl14]) ).
thf(d1_xboole_0,axiom,
! [A: $i] :
( ( A = empty_set )
<=> ! [B: $i] :
~ ( in @ B @ A ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( X1 != empty_set ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(zip_derived_cl915,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ sk__5 )
| ( in @ X1 @ sk__6 )
| ( X0 != empty_set ) ),
inference(clc,[status(thm)],[zip_derived_cl914,zip_derived_cl6]) ).
thf(zip_derived_cl916,plain,
! [X0: $i] :
( ( in @ X0 @ sk__6 )
| ~ ( in @ X0 @ sk__5 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl915]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( set_difference @ X0 @ X1 ) )
| ~ ( in @ ( sk__4 @ X2 @ X1 @ X0 ) @ X1 )
| ( in @ ( sk__4 @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
thf(zip_derived_cl931,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk__4 @ X1 @ sk__6 @ X0 ) @ sk__5 )
| ( X1
= ( set_difference @ X0 @ sk__6 ) )
| ( in @ ( sk__4 @ X1 @ sk__6 @ X0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl916,zip_derived_cl27]) ).
thf(zip_derived_cl1023,plain,
! [X0: $i] :
( ( in @ ( sk__4 @ X0 @ sk__6 @ sk__5 ) @ X0 )
| ( X0
= ( set_difference @ sk__5 @ sk__6 ) )
| ( X0
= ( set_difference @ sk__5 @ sk__6 ) )
| ( in @ ( sk__4 @ X0 @ sk__6 @ sk__5 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl931]) ).
thf(zip_derived_cl1028,plain,
! [X0: $i] :
( ( X0
= ( set_difference @ sk__5 @ sk__6 ) )
| ( in @ ( sk__4 @ X0 @ sk__6 @ sk__5 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1023]) ).
thf(zip_derived_cl6_001,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( X1 != empty_set ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(zip_derived_cl315,plain,
! [X0: $i] :
~ ( in @ X0 @ empty_set ),
inference(eq_res,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl1851,plain,
( empty_set
= ( set_difference @ sk__5 @ sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1028,zip_derived_cl315]) ).
thf(zip_derived_cl41,plain,
( ~ ( subset @ sk__5 @ sk__6 )
| ( ( set_difference @ sk__5 @ sk__6 )
!= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__2 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl916_002,plain,
! [X0: $i] :
( ( in @ X0 @ sk__6 )
| ~ ( in @ X0 @ sk__5 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl915]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk__2 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl929,plain,
! [X0: $i] :
( ~ ( in @ ( sk__2 @ sk__6 @ X0 ) @ sk__5 )
| ( subset @ X0 @ sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl916,zip_derived_cl15]) ).
thf(zip_derived_cl1001,plain,
( ( subset @ sk__5 @ sk__6 )
| ( subset @ sk__5 @ sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl929]) ).
thf(zip_derived_cl1004,plain,
subset @ sk__5 @ sk__6,
inference(simplify,[status(thm)],[zip_derived_cl1001]) ).
thf(zip_derived_cl1005,plain,
( ( set_difference @ sk__5 @ sk__6 )
!= empty_set ),
inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl1004]) ).
thf(zip_derived_cl1864,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1851,zip_derived_cl1005]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU131+2 : 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.zm4tot44f2 true
% 0.14/0.35 % Computer : n018.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 13:47:41 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % 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
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.42/1.05 % Solved by fo/fo6_bce.sh.
% 1.42/1.05 % BCE start: 70
% 1.42/1.05 % BCE eliminated: 0
% 1.42/1.05 % PE start: 70
% 1.42/1.05 logic: eq
% 1.42/1.05 % PE eliminated: 0
% 1.42/1.05 % done 417 iterations in 0.303s
% 1.42/1.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.42/1.05 % SZS output start Refutation
% See solution above
% 1.42/1.05
% 1.42/1.05
% 1.42/1.05 % Terminating...
% 1.83/1.17 % Runner terminated.
% 1.83/1.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------