TSTP Solution File: SEU178+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU178+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QGiYndMaAi true
% Computer : n025.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 19:11:02 EDT 2023
% Result : Theorem 1.34s 0.85s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 52 ( 6 unt; 11 typ; 0 def)
% Number of atoms : 114 ( 18 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 461 ( 34 ~; 59 |; 2 &; 354 @)
% ( 7 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 77 ( 0 ^; 75 !; 2 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(relation_type,type,
relation: $i > $o ).
thf(t21_relat_1,conjecture,
! [A: $i] :
( ( relation @ A )
=> ( subset @ A @ ( cartesian_product2 @ ( relation_dom @ A ) @ ( relation_rng @ A ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( relation @ A )
=> ( subset @ A @ ( cartesian_product2 @ ( relation_dom @ A ) @ ( relation_rng @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[t21_relat_1]) ).
thf(zip_derived_cl24,plain,
~ ( subset @ sk__11 @ ( cartesian_product2 @ ( relation_dom @ sk__11 ) @ ( relation_rng @ sk__11 ) ) ),
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_cl4,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk__3 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__3 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl23,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__3 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(d1_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
<=> ! [B: $i] :
~ ( ( in @ B @ A )
& ! [C: $i,D: $i] :
( B
!= ( ordered_pair @ C @ D ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( ordered_pair @ ( sk__1 @ X0 ) @ ( sk__2 @ X0 ) ) )
| ~ ( in @ X0 @ X1 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d1_relat_1]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( relation @ X0 )
| ( ( sk__3 @ X1 @ X0 )
= ( ordered_pair @ ( sk__1 @ ( sk__3 @ X1 @ X0 ) ) @ ( sk__2 @ ( sk__3 @ X1 @ X0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl39,plain,
! [X0: $i] :
( ( ( sk__3 @ X0 @ sk__11 )
= ( ordered_pair @ ( sk__1 @ ( sk__3 @ X0 @ sk__11 ) ) @ ( sk__2 @ ( sk__3 @ X0 @ sk__11 ) ) ) )
| ( subset @ sk__11 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl31]) ).
thf(d5_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( B
= ( relation_rng @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] : ( in @ ( ordered_pair @ D @ C ) @ A ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( relation_rng @ X0 ) )
| ( in @ X2 @ X1 )
| ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_relat_1]) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( sk__3 @ X0 @ sk__11 ) @ X1 )
| ( subset @ sk__11 @ X0 )
| ~ ( relation @ X1 )
| ( in @ ( sk__2 @ ( sk__3 @ X0 @ sk__11 ) ) @ X2 )
| ( X2
!= ( relation_rng @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl13]) ).
thf(zip_derived_cl103,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__11 @ X0 )
| ( X1
!= ( relation_rng @ sk__11 ) )
| ( in @ ( sk__2 @ ( sk__3 @ X0 @ sk__11 ) ) @ X1 )
| ~ ( relation @ sk__11 )
| ( subset @ sk__11 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl62]) ).
thf(zip_derived_cl23_002,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl104,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__11 @ X0 )
| ( X1
!= ( relation_rng @ sk__11 ) )
| ( in @ ( sk__2 @ ( sk__3 @ X0 @ sk__11 ) ) @ X1 )
| ( subset @ sk__11 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl23]) ).
thf(zip_derived_cl105,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__2 @ ( sk__3 @ X0 @ sk__11 ) ) @ X1 )
| ( X1
!= ( relation_rng @ sk__11 ) )
| ( subset @ sk__11 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl110,plain,
! [X0: $i] :
( ( subset @ sk__11 @ X0 )
| ( in @ ( sk__2 @ ( sk__3 @ X0 @ sk__11 ) ) @ ( relation_rng @ sk__11 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl105]) ).
thf(zip_derived_cl5_003,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk__3 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl39_004,plain,
! [X0: $i] :
( ( ( sk__3 @ X0 @ sk__11 )
= ( ordered_pair @ ( sk__1 @ ( sk__3 @ X0 @ sk__11 ) ) @ ( sk__2 @ ( sk__3 @ X0 @ sk__11 ) ) ) )
| ( subset @ sk__11 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl31]) ).
thf(d4_relat_1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( B
= ( relation_dom @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] : ( in @ ( ordered_pair @ C @ D ) @ A ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1
!= ( relation_dom @ X0 ) )
| ( in @ X2 @ X1 )
| ~ ( in @ ( ordered_pair @ X2 @ X3 ) @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_relat_1]) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( sk__3 @ X0 @ sk__11 ) @ X1 )
| ( subset @ sk__11 @ X0 )
| ~ ( relation @ X1 )
| ( in @ ( sk__1 @ ( sk__3 @ X0 @ sk__11 ) ) @ X2 )
| ( X2
!= ( relation_dom @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl9]) ).
thf(zip_derived_cl99,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__11 @ X0 )
| ( X1
!= ( relation_dom @ sk__11 ) )
| ( in @ ( sk__1 @ ( sk__3 @ X0 @ sk__11 ) ) @ X1 )
| ~ ( relation @ sk__11 )
| ( subset @ sk__11 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl61]) ).
thf(zip_derived_cl23_005,plain,
relation @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__11 @ X0 )
| ( X1
!= ( relation_dom @ sk__11 ) )
| ( in @ ( sk__1 @ ( sk__3 @ X0 @ sk__11 ) ) @ X1 )
| ( subset @ sk__11 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl23]) ).
thf(zip_derived_cl101,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__1 @ ( sk__3 @ X0 @ sk__11 ) ) @ X1 )
| ( X1
!= ( relation_dom @ sk__11 ) )
| ( subset @ sk__11 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl102,plain,
! [X0: $i] :
( ( subset @ sk__11 @ X0 )
| ( in @ ( sk__1 @ ( sk__3 @ X0 @ sk__11 ) ) @ ( relation_dom @ sk__11 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl39_006,plain,
! [X0: $i] :
( ( ( sk__3 @ X0 @ sk__11 )
= ( ordered_pair @ ( sk__1 @ ( sk__3 @ X0 @ sk__11 ) ) @ ( sk__2 @ ( sk__3 @ X0 @ sk__11 ) ) ) )
| ( subset @ sk__11 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl31]) ).
thf(t106_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
<=> ( ( in @ A @ C )
& ( in @ B @ D ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( ordered_pair @ X0 @ X1 ) @ ( cartesian_product2 @ X2 @ X3 ) )
| ~ ( in @ X1 @ X3 )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t106_zfmisc_1]) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( sk__3 @ X0 @ sk__11 ) @ ( cartesian_product2 @ X2 @ X1 ) )
| ( subset @ sk__11 @ X0 )
| ~ ( in @ ( sk__1 @ ( sk__3 @ X0 @ sk__11 ) ) @ X2 )
| ~ ( in @ ( sk__2 @ ( sk__3 @ X0 @ sk__11 ) ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl20]) ).
thf(zip_derived_cl194,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__11 @ X0 )
| ~ ( in @ ( sk__2 @ ( sk__3 @ X0 @ sk__11 ) ) @ X1 )
| ( subset @ sk__11 @ X0 )
| ( in @ ( sk__3 @ X0 @ sk__11 ) @ ( cartesian_product2 @ ( relation_dom @ sk__11 ) @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl65]) ).
thf(zip_derived_cl195,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__3 @ X0 @ sk__11 ) @ ( cartesian_product2 @ ( relation_dom @ sk__11 ) @ X1 ) )
| ~ ( in @ ( sk__2 @ ( sk__3 @ X0 @ sk__11 ) ) @ X1 )
| ( subset @ sk__11 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl194]) ).
thf(zip_derived_cl196,plain,
! [X0: $i] :
( ( subset @ sk__11 @ X0 )
| ( subset @ sk__11 @ X0 )
| ( in @ ( sk__3 @ X0 @ sk__11 ) @ ( cartesian_product2 @ ( relation_dom @ sk__11 ) @ ( relation_rng @ sk__11 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl195]) ).
thf(zip_derived_cl197,plain,
! [X0: $i] :
( ( in @ ( sk__3 @ X0 @ sk__11 ) @ ( cartesian_product2 @ ( relation_dom @ sk__11 ) @ ( relation_rng @ sk__11 ) ) )
| ( subset @ sk__11 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl196]) ).
thf(zip_derived_cl209,plain,
( ( subset @ sk__11 @ ( cartesian_product2 @ ( relation_dom @ sk__11 ) @ ( relation_rng @ sk__11 ) ) )
| ( subset @ sk__11 @ ( cartesian_product2 @ ( relation_dom @ sk__11 ) @ ( relation_rng @ sk__11 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl197]) ).
thf(zip_derived_cl210,plain,
subset @ sk__11 @ ( cartesian_product2 @ ( relation_dom @ sk__11 ) @ ( relation_rng @ sk__11 ) ),
inference(simplify,[status(thm)],[zip_derived_cl209]) ).
thf(zip_derived_cl216,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU178+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QGiYndMaAi true
% 0.13/0.36 % Computer : n025.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Aug 23 21:05:21 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.23/0.63 % Total configuration time : 435
% 0.23/0.63 % Estimated wc time : 1092
% 0.23/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.15/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.15/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.15/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.15/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.34/0.85 % Solved by fo/fo4.sh.
% 1.34/0.85 % done 110 iterations in 0.053s
% 1.34/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.34/0.85 % SZS output start Refutation
% See solution above
% 1.34/0.85
% 1.34/0.85
% 1.34/0.85 % Terminating...
% 1.41/0.94 % Runner terminated.
% 1.41/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------