TSTP Solution File: SEU003+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU003+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.OtmOtufWZ5 true
% Computer : n003.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 19:10:10 EDT 2023
% Result : Theorem 9.01s 1.83s
% Output : Refutation 9.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 46 ( 17 unt; 12 typ; 0 def)
% Number of atoms : 91 ( 15 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 336 ( 41 ~; 34 |; 9 &; 238 @)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 0 ^; 30 !; 1 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(apply_type,type,
apply: $i > $i > $i ).
thf(relation_composition_type,type,
relation_composition: $i > $i > $i ).
thf(function_type,type,
function: $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
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(sk__type,type,
sk_: $i > $i > $i ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(t27_funct_1,conjecture,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( ( relation_dom @ ( relation_composition @ B @ A ) )
= ( relation_dom @ B ) )
=> ( subset @ ( relation_rng @ B ) @ ( relation_dom @ A ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ! [B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ( ( ( relation_dom @ ( relation_composition @ B @ A ) )
= ( relation_dom @ B ) )
=> ( subset @ ( relation_rng @ B ) @ ( relation_dom @ A ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t27_funct_1]) ).
thf(zip_derived_cl55,plain,
~ ( subset @ ( relation_rng @ sk__14 ) @ ( relation_dom @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl354,plain,
in @ ( sk_ @ ( relation_dom @ sk__13 ) @ ( relation_rng @ sk__14 ) ) @ ( relation_rng @ sk__14 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl55]) ).
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_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( relation_rng @ X0 ) )
| ( in @ ( sk__3 @ X2 @ X0 ) @ ( relation_dom @ X0 ) )
| ~ ( in @ X2 @ X1 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_funct_1]) ).
thf(zip_derived_cl627,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( in @ ( sk__3 @ ( sk_ @ ( relation_dom @ sk__13 ) @ ( relation_rng @ sk__14 ) ) @ X0 ) @ ( relation_dom @ X0 ) )
| ( ( relation_rng @ sk__14 )
!= ( relation_rng @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl10]) ).
thf(zip_derived_cl354_001,plain,
in @ ( sk_ @ ( relation_dom @ sk__13 ) @ ( relation_rng @ sk__14 ) ) @ ( relation_rng @ sk__14 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl55]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( relation_rng @ X0 ) )
| ( X2
= ( apply @ X0 @ ( sk__3 @ X2 @ X0 ) ) )
| ~ ( in @ X2 @ X1 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d5_funct_1]) ).
thf(zip_derived_cl626,plain,
! [X0: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( ( sk_ @ ( relation_dom @ sk__13 ) @ ( relation_rng @ sk__14 ) )
= ( apply @ X0 @ ( sk__3 @ ( sk_ @ ( relation_dom @ sk__13 ) @ ( relation_rng @ sk__14 ) ) @ X0 ) ) )
| ( ( relation_rng @ sk__14 )
!= ( relation_rng @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl354,zip_derived_cl9]) ).
thf(zip_derived_cl54,plain,
( ( relation_dom @ ( relation_composition @ sk__14 @ sk__13 ) )
= ( relation_dom @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t21_funct_1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B ) )
=> ! [C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( in @ A @ ( relation_dom @ ( relation_composition @ C @ B ) ) )
<=> ( ( in @ A @ ( relation_dom @ C ) )
& ( in @ ( apply @ C @ A ) @ ( relation_dom @ B ) ) ) ) ) ) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ~ ( in @ X1 @ ( relation_dom @ ( relation_composition @ X0 @ X2 ) ) )
| ( in @ ( apply @ X0 @ X1 ) @ ( relation_dom @ X2 ) )
| ~ ( function @ X2 )
| ~ ( relation @ X2 ) ),
inference(cnf,[status(esa)],[t21_funct_1]) ).
thf(zip_derived_cl755,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( relation_dom @ sk__14 ) )
| ~ ( relation @ sk__13 )
| ~ ( function @ sk__13 )
| ( in @ ( apply @ sk__14 @ X0 ) @ ( relation_dom @ sk__13 ) )
| ~ ( function @ sk__14 )
| ~ ( relation @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl50]) ).
thf(zip_derived_cl52,plain,
relation @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl53,plain,
function @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl56,plain,
function @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57,plain,
relation @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl758,plain,
! [X0: $i] :
( ~ ( in @ X0 @ ( relation_dom @ sk__14 ) )
| ( in @ ( apply @ sk__14 @ X0 ) @ ( relation_dom @ sk__13 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl755,zip_derived_cl52,zip_derived_cl53,zip_derived_cl56,zip_derived_cl57]) ).
thf(zip_derived_cl4035,plain,
( ( in @ ( sk_ @ ( relation_dom @ sk__13 ) @ ( relation_rng @ sk__14 ) ) @ ( relation_dom @ sk__13 ) )
| ( ( relation_rng @ sk__14 )
!= ( relation_rng @ sk__14 ) )
| ~ ( function @ sk__14 )
| ~ ( relation @ sk__14 )
| ~ ( in @ ( sk__3 @ ( sk_ @ ( relation_dom @ sk__13 ) @ ( relation_rng @ sk__14 ) ) @ sk__14 ) @ ( relation_dom @ sk__14 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl626,zip_derived_cl758]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl55_002,plain,
~ ( subset @ ( relation_rng @ sk__14 ) @ ( relation_dom @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl351,plain,
~ ( in @ ( sk_ @ ( relation_dom @ sk__13 ) @ ( relation_rng @ sk__14 ) ) @ ( relation_dom @ sk__13 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl55]) ).
thf(zip_derived_cl56_003,plain,
function @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57_004,plain,
relation @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4043,plain,
( ( ( relation_rng @ sk__14 )
!= ( relation_rng @ sk__14 ) )
| ~ ( in @ ( sk__3 @ ( sk_ @ ( relation_dom @ sk__13 ) @ ( relation_rng @ sk__14 ) ) @ sk__14 ) @ ( relation_dom @ sk__14 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4035,zip_derived_cl351,zip_derived_cl56,zip_derived_cl57]) ).
thf(zip_derived_cl4044,plain,
~ ( in @ ( sk__3 @ ( sk_ @ ( relation_dom @ sk__13 ) @ ( relation_rng @ sk__14 ) ) @ sk__14 ) @ ( relation_dom @ sk__14 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4043]) ).
thf(zip_derived_cl5579,plain,
( ( ( relation_rng @ sk__14 )
!= ( relation_rng @ sk__14 ) )
| ~ ( function @ sk__14 )
| ~ ( relation @ sk__14 ) ),
inference('sup-',[status(thm)],[zip_derived_cl627,zip_derived_cl4044]) ).
thf(zip_derived_cl56_005,plain,
function @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57_006,plain,
relation @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5588,plain,
( ( relation_rng @ sk__14 )
!= ( relation_rng @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl5579,zip_derived_cl56,zip_derived_cl57]) ).
thf(zip_derived_cl5589,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl5588]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU003+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OtmOtufWZ5 true
% 0.11/0.33 % Computer : n003.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Aug 23 12:46:52 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.18/0.59 % Total configuration time : 435
% 0.18/0.59 % Estimated wc time : 1092
% 0.18/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.01/1.83 % Solved by fo/fo3_bce.sh.
% 9.01/1.83 % BCE start: 66
% 9.01/1.83 % BCE eliminated: 2
% 9.01/1.83 % PE start: 64
% 9.01/1.83 logic: eq
% 9.01/1.83 % PE eliminated: -3
% 9.01/1.83 % done 988 iterations in 1.096s
% 9.01/1.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.01/1.83 % SZS output start Refutation
% See solution above
% 9.01/1.83
% 9.01/1.83
% 9.01/1.83 % Terminating...
% 9.09/1.93 % Runner terminated.
% 9.09/1.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------