TSTP Solution File: SEU430+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU430+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1FGygHqm7S 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 19:12:56 EDT 2023
% Result : Theorem 0.51s 0.88s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 54 ( 14 unt; 12 typ; 0 def)
% Number of atoms : 95 ( 50 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 262 ( 32 ~; 42 |; 1 &; 177 @)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 46 ( 0 ^; 45 !; 1 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(k3_tarski_type,type,
k3_tarski: $i > $i ).
thf(r2_hidden_type,type,
r2_hidden: $i > $i > $o ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(k5_setfam_1_type,type,
k5_setfam_1: $i > $i > $i ).
thf(d1_xboole_0,axiom,
! [A: $i] :
( ( A = k1_xboole_0 )
<=> ! [B: $i] :
~ ( r2_hidden @ B @ A ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ( r2_hidden @ ( sk__3 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(t30_relset_2,conjecture,
! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
=> ( ( ( k5_setfam_1 @ A @ B )
= k1_xboole_0 )
<=> ! [C: $i] :
( ( r2_hidden @ C @ B )
=> ( C = k1_xboole_0 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
=> ( ( ( k5_setfam_1 @ A @ B )
= k1_xboole_0 )
<=> ! [C: $i] :
( ( r2_hidden @ C @ B )
=> ( C = k1_xboole_0 ) ) ) ),
inference('cnf.neg',[status(esa)],[t30_relset_2]) ).
thf(zip_derived_cl2,plain,
( ( r2_hidden @ sk__2 @ sk__1 )
| ( ( k5_setfam_1 @ sk_ @ sk__1 )
!= k1_xboole_0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(redefinition_k5_setfam_1,axiom,
! [A: $i,B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
=> ( ( k5_setfam_1 @ A @ B )
= ( k3_tarski @ B ) ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i] :
( ( ( k5_setfam_1 @ X1 @ X0 )
= ( k3_tarski @ X0 ) )
| ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[redefinition_k5_setfam_1]) ).
thf(zip_derived_cl242,plain,
( ( k5_setfam_1 @ sk_ @ sk__1 )
= ( k3_tarski @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl36]) ).
thf(zip_derived_cl251,plain,
( ( r2_hidden @ sk__2 @ sk__1 )
| ( ( k3_tarski @ sk__1 )
!= k1_xboole_0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl242]) ).
thf(d4_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( k3_tarski @ A ) )
<=> ! [C: $i] :
( ( r2_hidden @ C @ B )
<=> ? [D: $i] :
( ( r2_hidden @ D @ A )
& ( r2_hidden @ C @ D ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( k3_tarski @ X0 ) )
| ( r2_hidden @ ( sk__5 @ X1 @ X0 ) @ X0 )
| ( r2_hidden @ ( sk__4 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ~ ( r2_hidden @ X0 @ sk__1 )
| ( X0 = k1_xboole_0 )
| ( ( k5_setfam_1 @ sk_ @ sk__1 )
= k1_xboole_0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl221,plain,
! [X0: $i] :
( ( r2_hidden @ ( sk__4 @ X0 @ sk__1 ) @ X0 )
| ( X0
= ( k3_tarski @ sk__1 ) )
| ( ( sk__5 @ X0 @ sk__1 )
= k1_xboole_0 )
| ( ( k5_setfam_1 @ sk_ @ sk__1 )
= k1_xboole_0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl3]) ).
thf(zip_derived_cl242_001,plain,
( ( k5_setfam_1 @ sk_ @ sk__1 )
= ( k3_tarski @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl36]) ).
thf(zip_derived_cl411,plain,
! [X0: $i] :
( ( r2_hidden @ ( sk__4 @ X0 @ sk__1 ) @ X0 )
| ( X0
= ( k3_tarski @ sk__1 ) )
| ( ( sk__5 @ X0 @ sk__1 )
= k1_xboole_0 )
| ( ( k3_tarski @ sk__1 )
= k1_xboole_0 ) ),
inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl242]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( k3_tarski @ X0 ) )
| ( r2_hidden @ ( sk__4 @ X1 @ X0 ) @ ( sk__5 @ X1 @ X0 ) )
| ( r2_hidden @ ( sk__4 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
thf(zip_derived_cl418,plain,
! [X0: $i] :
( ( ( k3_tarski @ sk__1 )
= k1_xboole_0 )
| ( X0
= ( k3_tarski @ sk__1 ) )
| ( r2_hidden @ ( sk__4 @ X0 @ sk__1 ) @ X0 )
| ( X0
= ( k3_tarski @ sk__1 ) )
| ( r2_hidden @ ( sk__4 @ X0 @ sk__1 ) @ k1_xboole_0 )
| ( r2_hidden @ ( sk__4 @ X0 @ sk__1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl411,zip_derived_cl12]) ).
thf(zip_derived_cl423,plain,
! [X0: $i] :
( ( r2_hidden @ ( sk__4 @ X0 @ sk__1 ) @ k1_xboole_0 )
| ( r2_hidden @ ( sk__4 @ X0 @ sk__1 ) @ X0 )
| ( X0
= ( k3_tarski @ sk__1 ) )
| ( ( k3_tarski @ sk__1 )
= k1_xboole_0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl418]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ( X1 != k1_xboole_0 ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(zip_derived_cl172,plain,
! [X0: $i] :
~ ( r2_hidden @ X0 @ k1_xboole_0 ),
inference(eq_res,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl738,plain,
! [X0: $i] :
( ( ( k3_tarski @ sk__1 )
= k1_xboole_0 )
| ( X0
= ( k3_tarski @ sk__1 ) )
| ( r2_hidden @ ( sk__4 @ X0 @ sk__1 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl423,zip_derived_cl172]) ).
thf(zip_derived_cl172_002,plain,
! [X0: $i] :
~ ( r2_hidden @ X0 @ k1_xboole_0 ),
inference(eq_res,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl743,plain,
( ( k1_xboole_0
= ( k3_tarski @ sk__1 ) )
| ( ( k3_tarski @ sk__1 )
= k1_xboole_0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl738,zip_derived_cl172]) ).
thf(zip_derived_cl757,plain,
( k1_xboole_0
= ( k3_tarski @ sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl743]) ).
thf(zip_derived_cl766,plain,
( ( r2_hidden @ sk__2 @ sk__1 )
| ( k1_xboole_0 != k1_xboole_0 ) ),
inference(demod,[status(thm)],[zip_derived_cl251,zip_derived_cl757]) ).
thf(zip_derived_cl767,plain,
r2_hidden @ sk__2 @ sk__1,
inference(simplify,[status(thm)],[zip_derived_cl766]) ).
thf(zip_derived_cl757_003,plain,
( k1_xboole_0
= ( k3_tarski @ sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl743]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ~ ( r2_hidden @ X2 @ X0 )
| ( r2_hidden @ X2 @ X3 )
| ( X3
!= ( k3_tarski @ X1 ) ) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
thf(zip_derived_cl773,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2_hidden @ X1 @ sk__1 )
| ~ ( r2_hidden @ X2 @ X1 )
| ( r2_hidden @ X2 @ X0 )
| ( X0 != k1_xboole_0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl757,zip_derived_cl8]) ).
thf(zip_derived_cl6_004,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X0 @ X1 )
| ( X1 != k1_xboole_0 ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(zip_derived_cl814,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 != k1_xboole_0 )
| ~ ( r2_hidden @ X2 @ X1 )
| ~ ( r2_hidden @ X1 @ sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl773,zip_derived_cl6]) ).
thf(zip_derived_cl815,plain,
! [X0: $i,X1: $i] :
( ~ ( r2_hidden @ X0 @ sk__1 )
| ~ ( r2_hidden @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl814]) ).
thf(zip_derived_cl824,plain,
! [X0: $i] :
~ ( r2_hidden @ X0 @ sk__2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl767,zip_derived_cl815]) ).
thf(zip_derived_cl829,plain,
sk__2 = k1_xboole_0,
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl824]) ).
thf(zip_derived_cl1,plain,
( ( sk__2 != k1_xboole_0 )
| ( ( k5_setfam_1 @ sk_ @ sk__1 )
!= k1_xboole_0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl242_005,plain,
( ( k5_setfam_1 @ sk_ @ sk__1 )
= ( k3_tarski @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl36]) ).
thf(zip_derived_cl250,plain,
( ( sk__2 != k1_xboole_0 )
| ( ( k3_tarski @ sk__1 )
!= k1_xboole_0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl242]) ).
thf(zip_derived_cl757_006,plain,
( k1_xboole_0
= ( k3_tarski @ sk__1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl743]) ).
thf(zip_derived_cl764,plain,
( ( sk__2 != k1_xboole_0 )
| ( k1_xboole_0 != k1_xboole_0 ) ),
inference(demod,[status(thm)],[zip_derived_cl250,zip_derived_cl757]) ).
thf(zip_derived_cl765,plain,
sk__2 != k1_xboole_0,
inference(simplify,[status(thm)],[zip_derived_cl764]) ).
thf(zip_derived_cl831,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl829,zip_derived_cl765]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU430+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1FGygHqm7S true
% 0.13/0.35 % Computer : n017.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 : Thu Aug 24 00:53:38 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % 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
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.88 % Solved by fo/fo6_bce.sh.
% 0.51/0.88 % BCE start: 47
% 0.51/0.88 % BCE eliminated: 8
% 0.51/0.88 % PE start: 39
% 0.51/0.88 logic: eq
% 0.51/0.88 % PE eliminated: 2
% 0.51/0.88 % done 204 iterations in 0.114s
% 0.51/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.88 % SZS output start Refutation
% See solution above
% 0.51/0.88
% 0.51/0.88
% 0.51/0.88 % Terminating...
% 0.53/0.95 % Runner terminated.
% 0.53/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------