TSTP Solution File: SET995+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET995+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BDgmecE5HS 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 16:17:07 EDT 2023
% Result : Theorem 1.79s 1.21s
% Output : Refutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 68 ( 30 unt; 11 typ; 0 def)
% Number of atoms : 153 ( 68 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 437 ( 67 ~; 68 |; 13 &; 274 @)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 51 ( 0 ^; 50 !; 1 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__14_type,type,
sk__14: $i ).
thf(apply_type,type,
apply: $i > $i > $i ).
thf(function_type,type,
function: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(sk__16_type,type,
sk__16: $i > $i > $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(t17_funct_1,conjecture,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ! [C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( ( ( relation_dom @ B )
= ( relation_dom @ C ) )
& ( ( relation_rng @ B )
= ( singleton @ A ) )
& ( ( relation_rng @ C )
= ( singleton @ A ) ) )
=> ( B = C ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ! [C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( ( ( relation_dom @ B )
= ( relation_dom @ C ) )
& ( ( relation_rng @ B )
= ( singleton @ A ) )
& ( ( relation_rng @ C )
= ( singleton @ A ) ) )
=> ( B = C ) ) ) ),
inference('cnf.neg',[status(esa)],[t17_funct_1]) ).
thf(zip_derived_cl46,plain,
( ( relation_dom @ sk__14 )
= ( relation_dom @ sk__15 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t9_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( ( ( relation_dom @ A )
= ( relation_dom @ B ) )
& ! [C: $i] :
( ( in @ C @ ( relation_dom @ A ) )
=> ( ( apply @ A @ C )
= ( apply @ B @ C ) ) ) )
=> ( A = B ) ) ) ) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( X1 = X0 )
| ( in @ ( sk__16 @ X0 @ X1 ) @ ( relation_dom @ X1 ) )
| ( ( relation_dom @ X1 )
!= ( relation_dom @ X0 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t9_funct_1]) ).
thf(zip_derived_cl819,plain,
! [X0: $i] :
( ( ( relation_dom @ sk__14 )
!= ( relation_dom @ X0 ) )
| ~ ( relation @ sk__15 )
| ~ ( function @ sk__15 )
| ( in @ ( sk__16 @ X0 @ sk__15 ) @ ( relation_dom @ sk__15 ) )
| ( sk__15 = X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl60]) ).
thf(zip_derived_cl50,plain,
relation @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49,plain,
function @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46_001,plain,
( ( relation_dom @ sk__14 )
= ( relation_dom @ sk__15 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl830,plain,
! [X0: $i] :
( ( ( relation_dom @ sk__14 )
!= ( relation_dom @ X0 ) )
| ( in @ ( sk__16 @ X0 @ sk__15 ) @ ( relation_dom @ sk__14 ) )
| ( sk__15 = X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl819,zip_derived_cl50,zip_derived_cl49,zip_derived_cl46]) ).
thf(zip_derived_cl1786,plain,
( ~ ( relation @ sk__14 )
| ~ ( function @ sk__14 )
| ( sk__15 = sk__14 )
| ( in @ ( sk__16 @ sk__14 @ sk__15 ) @ ( relation_dom @ sk__14 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl830]) ).
thf(zip_derived_cl43,plain,
relation @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44,plain,
function @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1787,plain,
( ( sk__15 = sk__14 )
| ( in @ ( sk__16 @ sk__14 @ sk__15 ) @ ( relation_dom @ sk__14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1786,zip_derived_cl43,zip_derived_cl44]) ).
thf(zip_derived_cl48,plain,
sk__14 != sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1788,plain,
in @ ( sk__16 @ sk__14 @ sk__15 ) @ ( relation_dom @ sk__14 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1787,zip_derived_cl48]) ).
thf(d5_funct_1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i] :
( ( B
= ( relation_rng @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] :
( ( C
= ( apply @ A @ D ) )
& ( in @ D @ ( relation_dom @ A ) ) ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( relation_rng @ X0 ) )
| ( in @ X2 @ X1 )
| ~ ( in @ X3 @ ( relation_dom @ X0 ) )
| ( X2
!= ( apply @ X0 @ X3 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_funct_1]) ).
thf(zip_derived_cl1801,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ sk__14 )
| ~ ( function @ sk__14 )
| ( X0
!= ( apply @ sk__14 @ ( sk__16 @ sk__14 @ sk__15 ) ) )
| ( in @ X0 @ X1 )
| ( X1
!= ( relation_rng @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1788,zip_derived_cl12]) ).
thf(zip_derived_cl43_002,plain,
relation @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44_003,plain,
function @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1817,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( apply @ sk__14 @ ( sk__16 @ sk__14 @ sk__15 ) ) )
| ( in @ X0 @ X1 )
| ( X1
!= ( relation_rng @ sk__14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1801,zip_derived_cl43,zip_derived_cl44]) ).
thf(zip_derived_cl1892,plain,
! [X0: $i] :
( ( X0
!= ( relation_rng @ sk__14 ) )
| ( in @ ( apply @ sk__14 @ ( sk__16 @ sk__14 @ sk__15 ) ) @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1817]) ).
thf(zip_derived_cl1898,plain,
in @ ( apply @ sk__14 @ ( sk__16 @ sk__14 @ sk__15 ) ) @ ( relation_rng @ sk__14 ),
inference(eq_res,[status(thm)],[zip_derived_cl1892]) ).
thf(zip_derived_cl45,plain,
( ( relation_rng @ sk__14 )
= ( singleton @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d1_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( singleton @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( C = A ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X1
!= ( singleton @ X2 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl109,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl115,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( relation_rng @ sk__14 ) )
| ( X0 = sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl109]) ).
thf(zip_derived_cl1966,plain,
( ( apply @ sk__14 @ ( sk__16 @ sk__14 @ sk__15 ) )
= sk__13 ),
inference('sup-',[status(thm)],[zip_derived_cl1898,zip_derived_cl115]) ).
thf(zip_derived_cl1788_004,plain,
in @ ( sk__16 @ sk__14 @ sk__15 ) @ ( relation_dom @ sk__14 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1787,zip_derived_cl48]) ).
thf(zip_derived_cl46_005,plain,
( ( relation_dom @ sk__14 )
= ( relation_dom @ sk__15 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12_006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( relation_rng @ X0 ) )
| ( in @ X2 @ X1 )
| ~ ( in @ X3 @ ( relation_dom @ X0 ) )
| ( X2
!= ( apply @ X0 @ X3 ) )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_funct_1]) ).
thf(zip_derived_cl593,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_dom @ sk__14 ) )
| ~ ( relation @ sk__15 )
| ~ ( function @ sk__15 )
| ( X1
!= ( apply @ sk__15 @ X0 ) )
| ( in @ X1 @ X2 )
| ( X2
!= ( relation_rng @ sk__15 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl12]) ).
thf(zip_derived_cl50_007,plain,
relation @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49_008,plain,
function @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl47,plain,
( ( relation_rng @ sk__15 )
= ( singleton @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45_009,plain,
( ( relation_rng @ sk__14 )
= ( singleton @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97,plain,
( ( relation_rng @ sk__15 )
= ( relation_rng @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl45]) ).
thf(zip_derived_cl598,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ ( relation_dom @ sk__14 ) )
| ( X1
!= ( apply @ sk__15 @ X0 ) )
| ( in @ X1 @ X2 )
| ( X2
!= ( relation_rng @ sk__14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl593,zip_derived_cl50,zip_derived_cl49,zip_derived_cl97]) ).
thf(zip_derived_cl1802,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( relation_rng @ sk__14 ) )
| ( in @ X1 @ X0 )
| ( X1
!= ( apply @ sk__15 @ ( sk__16 @ sk__14 @ sk__15 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1788,zip_derived_cl598]) ).
thf(zip_derived_cl1872,plain,
! [X0: $i] :
( ( in @ ( apply @ sk__15 @ ( sk__16 @ sk__14 @ sk__15 ) ) @ X0 )
| ( X0
!= ( relation_rng @ sk__14 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1802]) ).
thf(zip_derived_cl1878,plain,
in @ ( apply @ sk__15 @ ( sk__16 @ sk__14 @ sk__15 ) ) @ ( relation_rng @ sk__14 ),
inference(eq_res,[status(thm)],[zip_derived_cl1872]) ).
thf(zip_derived_cl115_010,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( relation_rng @ sk__14 ) )
| ( X0 = sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl109]) ).
thf(zip_derived_cl1907,plain,
( ( apply @ sk__15 @ ( sk__16 @ sk__14 @ sk__15 ) )
= sk__13 ),
inference('sup-',[status(thm)],[zip_derived_cl1878,zip_derived_cl115]) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( X1 = X0 )
| ( ( apply @ X1 @ ( sk__16 @ X0 @ X1 ) )
!= ( apply @ X0 @ ( sk__16 @ X0 @ X1 ) ) )
| ( ( relation_dom @ X1 )
!= ( relation_dom @ X0 ) )
| ~ ( function @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t9_funct_1]) ).
thf(zip_derived_cl1931,plain,
( ( sk__13
!= ( apply @ sk__14 @ ( sk__16 @ sk__14 @ sk__15 ) ) )
| ~ ( relation @ sk__15 )
| ~ ( function @ sk__15 )
| ( ( relation_dom @ sk__15 )
!= ( relation_dom @ sk__14 ) )
| ( sk__15 = sk__14 )
| ~ ( function @ sk__14 )
| ~ ( relation @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1907,zip_derived_cl61]) ).
thf(zip_derived_cl50_011,plain,
relation @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49_012,plain,
function @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46_013,plain,
( ( relation_dom @ sk__14 )
= ( relation_dom @ sk__15 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44_014,plain,
function @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43_015,plain,
relation @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1936,plain,
( ( sk__13
!= ( apply @ sk__14 @ ( sk__16 @ sk__14 @ sk__15 ) ) )
| ( ( relation_dom @ sk__14 )
!= ( relation_dom @ sk__14 ) )
| ( sk__15 = sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl1931,zip_derived_cl50,zip_derived_cl49,zip_derived_cl46,zip_derived_cl44,zip_derived_cl43]) ).
thf(zip_derived_cl1937,plain,
( ( sk__15 = sk__14 )
| ( sk__13
!= ( apply @ sk__14 @ ( sk__16 @ sk__14 @ sk__15 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1936]) ).
thf(zip_derived_cl48_016,plain,
sk__14 != sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1938,plain,
( sk__13
!= ( apply @ sk__14 @ ( sk__16 @ sk__14 @ sk__15 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1937,zip_derived_cl48]) ).
thf(zip_derived_cl1987,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1966,zip_derived_cl1938]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET995+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BDgmecE5HS true
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 08:34:47 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.79/1.21 % Solved by fo/fo5.sh.
% 1.79/1.21 % done 381 iterations in 0.419s
% 1.79/1.21 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.79/1.21 % SZS output start Refutation
% See solution above
% 1.79/1.21
% 1.79/1.21
% 1.79/1.21 % Terminating...
% 1.82/1.33 % Runner terminated.
% 1.97/1.36 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------