TSTP Solution File: SEU187+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU187+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.wJGKoC7MEo true
% Computer : n012.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 19:11:05 EDT 2023
% Result : Theorem 0.90s 0.80s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 50 ( 10 unt; 11 typ; 0 def)
% Number of atoms : 85 ( 33 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 215 ( 44 ~; 32 |; 3 &; 125 @)
% ( 4 <=>; 3 =>; 4 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 39 ( 0 ^; 37 !; 2 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(fc1_xboole_0,axiom,
empty @ empty_set ).
thf(zip_derived_cl20,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
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_cl7,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__3 @ X0 @ X1 ) @ X0 )
| ( in @ ( ordered_pair @ ( sk__4 @ X0 @ X1 ) @ ( sk__3 @ X0 @ X1 ) ) @ X1 )
| ( X0
= ( relation_rng @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d5_relat_1]) ).
thf(t7_boole,axiom,
! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ( empty @ B ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl120,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( X1
= ( relation_rng @ X0 ) )
| ( in @ ( sk__3 @ X1 @ X0 ) @ X1 )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl40]) ).
thf(cc1_relat_1,axiom,
! [A: $i] :
( ( empty @ A )
=> ( relation @ A ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( relation @ X0 )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[cc1_relat_1]) ).
thf(zip_derived_cl166,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ( in @ ( sk__3 @ X1 @ X0 ) @ X1 )
| ( X1
= ( relation_rng @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl120,zip_derived_cl1]) ).
thf(zip_derived_cl40_001,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl168,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( relation_rng @ X1 ) )
| ~ ( empty @ X1 )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl40]) ).
thf(zip_derived_cl171,plain,
! [X0: $i] :
( ( empty_set
= ( relation_rng @ X0 ) )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl168]) ).
thf(t60_relat_1,conjecture,
( ( ( relation_dom @ empty_set )
= empty_set )
& ( ( relation_rng @ empty_set )
= empty_set ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( relation_dom @ empty_set )
= empty_set )
& ( ( relation_rng @ empty_set )
= empty_set ) ),
inference('cnf.neg',[status(esa)],[t60_relat_1]) ).
thf(zip_derived_cl38,plain,
( ( ( relation_dom @ empty_set )
!= empty_set )
| ( ( relation_rng @ empty_set )
!= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42,plain,
( ( ( relation_rng @ empty_set )
!= empty_set )
<= ( ( relation_rng @ empty_set )
!= empty_set ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl20_002,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
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_cl3,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk_ @ X0 @ X1 ) @ X0 )
| ( in @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ ( sk__1 @ X0 @ X1 ) ) @ X1 )
| ( X0
= ( relation_dom @ X1 ) )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[d4_relat_1]) ).
thf(zip_derived_cl40_003,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl59,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( X1
= ( relation_dom @ X0 ) )
| ( in @ ( sk_ @ X1 @ X0 ) @ X1 )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl40]) ).
thf(zip_derived_cl1_004,plain,
! [X0: $i] :
( ( relation @ X0 )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[cc1_relat_1]) ).
thf(zip_derived_cl154,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ( in @ ( sk_ @ X1 @ X0 ) @ X1 )
| ( X1
= ( relation_dom @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl59,zip_derived_cl1]) ).
thf(zip_derived_cl40_005,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl156,plain,
! [X0: $i,X1: $i] :
( ( X0
= ( relation_dom @ X1 ) )
| ~ ( empty @ X1 )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl40]) ).
thf(zip_derived_cl159,plain,
! [X0: $i] :
( ( empty_set
= ( relation_dom @ X0 ) )
| ~ ( empty @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl156]) ).
thf(zip_derived_cl43,plain,
( ( ( relation_dom @ empty_set )
!= empty_set )
<= ( ( relation_dom @ empty_set )
!= empty_set ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf(zip_derived_cl161,plain,
( ( ~ ( empty @ empty_set )
| ( empty_set != empty_set ) )
<= ( ( relation_dom @ empty_set )
!= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl159,zip_derived_cl43]) ).
thf(zip_derived_cl20_006,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
thf(zip_derived_cl163,plain,
( ( empty_set != empty_set )
<= ( ( relation_dom @ empty_set )
!= empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl20]) ).
thf('0',plain,
( ( relation_dom @ empty_set )
= empty_set ),
inference(simplify,[status(thm)],[zip_derived_cl163]) ).
thf('1',plain,
( ( ( relation_rng @ empty_set )
!= empty_set )
| ( ( relation_dom @ empty_set )
!= empty_set ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf('2',plain,
( ( relation_rng @ empty_set )
!= empty_set ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl165,plain,
( ( relation_rng @ empty_set )
!= empty_set ),
inference(simpl_trail,[status(thm)],[zip_derived_cl42,'2']) ).
thf(zip_derived_cl173,plain,
( ~ ( empty @ empty_set )
| ( empty_set != empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl171,zip_derived_cl165]) ).
thf(zip_derived_cl20_007,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
thf(zip_derived_cl175,plain,
empty_set != empty_set,
inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl20]) ).
thf(zip_derived_cl176,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU187+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wJGKoC7MEo true
% 0.13/0.34 % Computer : n012.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 18:49:42 EDT 2023
% 0.13/0.34 % 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
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /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
% 0.21/0.74 % /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
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.90/0.80 % Solved by fo/fo1_av.sh.
% 0.90/0.80 % done 92 iterations in 0.047s
% 0.90/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.90/0.80 % SZS output start Refutation
% See solution above
% 0.90/0.80
% 0.90/0.80
% 0.90/0.80 % Terminating...
% 1.63/0.87 % Runner terminated.
% 1.63/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------