TSTP Solution File: SET647^3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET647^3 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2Fihm3ZBft true
% Computer : n021.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 16:15:18 EDT 2023
% Result : Theorem 0.21s 0.79s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 21
% Syntax : Number of formulae : 34 ( 20 unt; 9 typ; 0 def)
% Number of atoms : 44 ( 15 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 98 ( 5 ~; 2 |; 5 &; 73 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 72 ( 72 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 3 con; 0-4 aty)
% Number of variables : 71 ( 36 ^; 25 !; 10 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(rel_domain_type,type,
rel_domain: ( $i > $i > $o ) > $i > $o ).
thf(sk__6_type,type,
sk__6: $i > $o ).
thf(rel_codomain_type,type,
rel_codomain: ( $i > $i > $o ) > $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $o ).
thf(cartesian_product_type,type,
cartesian_product: ( $i > $o ) > ( $i > $o ) > $i > $i > $o ).
thf(sub_rel_type,type,
sub_rel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(subset_type,type,
subset: ( $i > $o ) > ( $i > $o ) > $o ).
thf(rel_domain,axiom,
( rel_domain
= ( ^ [R: $i > $i > $o,X: $i] :
? [Y: $i] : ( R @ X @ Y ) ) ) ).
thf('0',plain,
( rel_domain
= ( ^ [R: $i > $i > $o,X: $i] :
? [Y: $i] : ( R @ X @ Y ) ) ),
inference(simplify_rw_rule,[status(thm)],[rel_domain]) ).
thf('1',plain,
( rel_domain
= ( ^ [V_1: $i > $i > $o,V_2: $i] :
? [X4: $i] : ( V_1 @ V_2 @ X4 ) ) ),
define([status(thm)]) ).
thf(rel_codomain,axiom,
( rel_codomain
= ( ^ [R: $i > $i > $o,Y: $i] :
? [X: $i] : ( R @ X @ Y ) ) ) ).
thf('2',plain,
( rel_codomain
= ( ^ [R: $i > $i > $o,Y: $i] :
? [X: $i] : ( R @ X @ Y ) ) ),
inference(simplify_rw_rule,[status(thm)],[rel_codomain]) ).
thf('3',plain,
( rel_codomain
= ( ^ [V_1: $i > $i > $o,V_2: $i] :
? [X4: $i] : ( V_1 @ X4 @ V_2 ) ) ),
define([status(thm)]) ).
thf(sub_rel,axiom,
( sub_rel
= ( ^ [R1: $i > $i > $o,R2: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R1 @ X @ Y )
=> ( R2 @ X @ Y ) ) ) ) ).
thf('4',plain,
( sub_rel
= ( ^ [R1: $i > $i > $o,R2: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R1 @ X @ Y )
=> ( R2 @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[sub_rel]) ).
thf('5',plain,
( sub_rel
= ( ^ [V_1: $i > $i > $o,V_2: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ( V_2 @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(cartesian_product,axiom,
( cartesian_product
= ( ^ [X: $i > $o,Y: $i > $o,U: $i,V: $i] :
( ( X @ U )
& ( Y @ V ) ) ) ) ).
thf('6',plain,
( cartesian_product
= ( ^ [X: $i > $o,Y: $i > $o,U: $i,V: $i] :
( ( X @ U )
& ( Y @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cartesian_product]) ).
thf('7',plain,
( cartesian_product
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i,V_4: $i] :
( ( V_1 @ V_3 )
& ( V_2 @ V_4 ) ) ) ),
define([status(thm)]) ).
thf(subset,axiom,
( subset
= ( ^ [X: $i > $o,Y: $i > $o] :
! [U: $i] :
( ( X @ U )
=> ( Y @ U ) ) ) ) ).
thf('8',plain,
( subset
= ( ^ [X: $i > $o,Y: $i > $o] :
! [U: $i] :
( ( X @ U )
=> ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[subset]) ).
thf('9',plain,
( subset
= ( ^ [V_1: $i > $o,V_2: $i > $o] :
! [X4: $i] :
( ( V_1 @ X4 )
=> ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
! [R: $i > $i > $o,X: $i > $o] :
( ( subset @ ( rel_domain @ R ) @ X )
=> ( sub_rel @ R @ ( cartesian_product @ X @ ( rel_codomain @ R ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o,X6: $i > $o] :
( ! [X8: $i] :
( ? [X10: $i] : ( X4 @ X8 @ X10 )
=> ( X6 @ X8 ) )
=> ! [X12: $i,X14: $i] :
( ( X4 @ X12 @ X14 )
=> ( ( X6 @ X12 )
& ? [X16: $i] : ( X4 @ X16 @ X14 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o,X6: $i > $o] :
( ! [X8: $i] :
( ? [X10: $i] : ( X4 @ X8 @ X10 )
=> ( X6 @ X8 ) )
=> ! [X12: $i,X14: $i] :
( ( X4 @ X12 @ X14 )
=> ( ( X6 @ X12 )
& ? [X16: $i] : ( X4 @ X16 @ X14 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
sk__5 @ sk__7 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X2: $i] :
( ~ ( sk__6 @ sk__7 )
| ~ ( sk__5 @ X2 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2_001,plain,
sk__5 @ sk__7 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( sk__6 @ X0 )
| ~ ( sk__5 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
sk__6 @ sk__7,
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
! [X2: $i] :
~ ( sk__5 @ X2 @ sk__8 ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET647^3 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2Fihm3ZBft true
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 12:36:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.21/0.65 % Total configuration time : 828
% 0.21/0.65 % Estimated wc time : 1656
% 0.21/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.79 % Solved by lams/40_c.s.sh.
% 0.21/0.79 % done 5 iterations in 0.011s
% 0.21/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.79 % SZS output start Refutation
% See solution above
% 0.21/0.79
% 0.21/0.79
% 0.21/0.79 % Terminating...
% 1.54/0.85 % Runner terminated.
% 1.54/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------