TSTP Solution File: SET651^3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET651^3 : 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.xEGtOrXtKv true
% Computer : n028.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 16:15:20 EDT 2023
% Result : Theorem 0.21s 0.75s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 18
% Syntax : Number of formulae : 28 ( 16 unt; 8 typ; 0 def)
% Number of atoms : 41 ( 12 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 76 ( 3 ~; 1 |; 3 &; 56 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 59 ( 59 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 56 ( 31 ^; 20 !; 5 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(rel_domain_type,type,
rel_domain: ( $i > $i > $o ) > $i > $o ).
thf(a_type,type,
a: $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i ).
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(sub_rel,axiom,
( sub_rel
= ( ^ [R1: $i > $i > $o,R2: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R1 @ X @ Y )
=> ( R2 @ X @ Y ) ) ) ) ).
thf('2',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('3',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('4',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('5',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('6',plain,
( subset
= ( ^ [X: $i > $o,Y: $i > $o] :
! [U: $i] :
( ( X @ U )
=> ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[subset]) ).
thf('7',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] :
( ( subset @ ( rel_domain @ R ) @ a )
=> ( sub_rel @ R
@ ( cartesian_product @ a
@ ^ [X: $i] : $true ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o] :
( ! [X6: $i] :
( ? [X8: $i] : ( X4 @ X6 @ X8 )
=> ( a @ X6 ) )
=> ! [X10: $i,X12: $i] :
( ( X4 @ X10 @ X12 )
=> ( a @ X10 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o] :
( ! [X6: $i] :
( ? [X8: $i] : ( X4 @ X6 @ X8 )
=> ( a @ X6 ) )
=> ! [X10: $i,X12: $i] :
( ( X4 @ X10 @ X12 )
=> ( a @ X10 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( a @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
sk__5 @ sk__6 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( a @ X0 )
| ~ ( sk__5 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
a @ sk__6,
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET651^3 : 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.xEGtOrXtKv true
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 13:48:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/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 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
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.75 % Solved by lams/40_c.s.sh.
% 0.21/0.75 % done 3 iterations in 0.009s
% 0.21/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.75 % SZS output start Refutation
% See solution above
% 0.21/0.75
% 0.21/0.75
% 0.21/0.75 % Terminating...
% 1.46/0.84 % Runner terminated.
% 1.46/0.85 % Zipperpin 1.5 exiting
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