TSTP Solution File: SET997+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET997+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.xDyf6vtG1B true
% Computer : n014.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 16:17:08 EDT 2023
% Result : Theorem 0.21s 0.79s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 34 ( 8 unt; 11 typ; 0 def)
% Number of atoms : 66 ( 18 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 213 ( 34 ~; 26 |; 8 &; 136 @)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 0 ^; 39 !; 1 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(apply_type,type,
apply: $i > $i > $i ).
thf(function_type,type,
function: $i > $o ).
thf(sk__15_type,type,
sk__15: $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
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_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(t19_funct_1,conjecture,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ! [C: $i] :
~ ( ( in @ C @ A )
& ! [D: $i] :
~ ( ( in @ D @ ( relation_dom @ B ) )
& ( C
= ( apply @ B @ D ) ) ) )
=> ( subset @ A @ ( relation_rng @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ! [C: $i] :
~ ( ( in @ C @ A )
& ! [D: $i] :
~ ( ( in @ D @ ( relation_dom @ B ) )
& ( C
= ( apply @ B @ D ) ) ) )
=> ( subset @ A @ ( relation_rng @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[t19_funct_1]) ).
thf(zip_derived_cl43,plain,
~ ( subset @ sk__13 @ ( relation_rng @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl258,plain,
~ ( in @ ( sk_ @ ( relation_rng @ sk__14 ) @ sk__13 ) @ ( relation_rng @ sk__14 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl43]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl43_001,plain,
~ ( subset @ sk__13 @ ( relation_rng @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl261,plain,
in @ ( sk_ @ ( relation_rng @ sk__14 ) @ sk__13 ) @ sk__13,
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl43]) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__13 )
| ( X0
= ( apply @ sk__14 @ ( sk__15 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42,plain,
function @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl11,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_cl288,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ sk__14 )
| ( X1
!= ( apply @ sk__14 @ X2 ) )
| ~ ( in @ X2 @ ( relation_dom @ sk__14 ) )
| ( in @ X1 @ X0 )
| ( X0
!= ( relation_rng @ sk__14 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl11]) ).
thf(zip_derived_cl41,plain,
relation @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl882,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( apply @ sk__14 @ X2 ) )
| ~ ( in @ X2 @ ( relation_dom @ sk__14 ) )
| ( in @ X1 @ X0 )
| ( X0
!= ( relation_rng @ sk__14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl41]) ).
thf(zip_derived_cl884,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 != X0 )
| ~ ( in @ X0 @ sk__13 )
| ( X2
!= ( relation_rng @ sk__14 ) )
| ( in @ X1 @ X2 )
| ~ ( in @ ( sk__15 @ X0 ) @ ( relation_dom @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl882]) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__13 )
| ( in @ ( sk__15 @ X0 ) @ ( relation_dom @ sk__14 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl887,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X2 )
| ( X2
!= ( relation_rng @ sk__14 ) )
| ~ ( in @ X0 @ sk__13 )
| ( X1 != X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl884,zip_derived_cl44]) ).
thf(zip_derived_cl888,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ sk__13 )
| ( X1
!= ( relation_rng @ sk__14 ) )
| ( in @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl887]) ).
thf(zip_derived_cl890,plain,
! [X0: $i] :
( ( in @ ( sk_ @ ( relation_rng @ sk__14 ) @ sk__13 ) @ X0 )
| ( X0
!= ( relation_rng @ sk__14 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl888]) ).
thf(zip_derived_cl937,plain,
( ( relation_rng @ sk__14 )
!= ( relation_rng @ sk__14 ) ),
inference('sup+',[status(thm)],[zip_derived_cl258,zip_derived_cl890]) ).
thf(zip_derived_cl940,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl937]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET997+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.xDyf6vtG1B true
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 08:47:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % 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
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.79 % Solved by fo/fo3_bce.sh.
% 0.21/0.79 % BCE start: 55
% 0.21/0.79 % BCE eliminated: 2
% 0.21/0.79 % PE start: 53
% 0.21/0.79 logic: eq
% 0.21/0.79 % PE eliminated: -12
% 0.21/0.79 % done 121 iterations in 0.051s
% 0.21/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.79 % SZS output start Refutation
% See solution above
% 0.21/0.80
% 0.21/0.80
% 0.21/0.80 % Terminating...
% 1.31/0.86 % Runner terminated.
% 1.31/0.88 % Zipperpin 1.5 exiting
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