TSTP Solution File: SET171^3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET171^3 : 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.syKNGU0wnF true
% Computer : n005.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 16:13:12 EDT 2023
% Result : Theorem 1.48s 0.79s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 36 ( 18 unt; 6 typ; 0 def)
% Number of atoms : 137 ( 26 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 250 ( 18 ~; 55 |; 30 &; 141 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 4 con; 0-3 aty)
% ( 6 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 47 ( 38 ^; 9 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
thf(intersection_type,type,
intersection: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(union_type,type,
union: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i > $o ).
thf('#sk2_type',type,
'#sk2': $i > $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf('#sk3_type',type,
'#sk3': $i > $o ).
thf(intersection,axiom,
( intersection
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ) ).
thf('0',plain,
( intersection
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[intersection]) ).
thf('1',plain,
( intersection
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
& ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(union,axiom,
( union
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ) ).
thf('2',plain,
( union
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[union]) ).
thf('3',plain,
( union
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(union_distributes_over_intersection,conjecture,
! [A: $i > $o,B: $i > $o,C: $i > $o] :
( ( union @ A @ ( intersection @ B @ C ) )
= ( intersection @ ( union @ A @ B ) @ ( union @ A @ C ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $o,X6: $i > $o,X8: $i > $o] :
( ( ^ [V_1: $i] :
( ( ( X8 @ V_1 )
& ( X6 @ V_1 ) )
| ( X4 @ V_1 ) ) )
= ( ^ [V_2: $i] :
( ( ( X8 @ V_2 )
| ( X4 @ V_2 ) )
& ( ( X6 @ V_2 )
| ( X4 @ V_2 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $o,X6: $i > $o,X8: $i > $o] :
( ( ^ [V_1: $i] :
( ( ( X8 @ V_1 )
& ( X6 @ V_1 ) )
| ( X4 @ V_1 ) ) )
= ( ^ [V_2: $i] :
( ( ( X8 @ V_2 )
| ( X4 @ V_2 ) )
& ( ( X6 @ V_2 )
| ( X4 @ V_2 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ^ [Y3: $i] :
( ( ( Y2 @ Y3 )
& ( Y1 @ Y3 ) )
| ( Y0 @ Y3 ) ) )
= ( ^ [Y3: $i] :
( ( ( Y2 @ Y3 )
| ( Y0 @ Y3 ) )
& ( ( Y1 @ Y3 )
| ( Y0 @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( ^ [Y2: $i] :
( ( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
| ( '#sk1' @ Y2 ) ) )
= ( ^ [Y2: $i] :
( ( ( Y1 @ Y2 )
| ( '#sk1' @ Y2 ) )
& ( ( Y0 @ Y2 )
| ( '#sk1' @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ( ^ [Y1: $i] :
( ( ( Y0 @ Y1 )
& ( '#sk2' @ Y1 ) )
| ( '#sk1' @ Y1 ) ) )
= ( ^ [Y1: $i] :
( ( ( Y0 @ Y1 )
| ( '#sk1' @ Y1 ) )
& ( ( '#sk2' @ Y1 )
| ( '#sk1' @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( ( ^ [Y0: $i] :
( ( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) )
| ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: $i] :
( ( ( '#sk3' @ Y0 )
| ( '#sk1' @ Y0 ) )
& ( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
( ( ^ [Y0: $i] :
( ( ( '#sk3' @ Y0 )
& ( '#sk2' @ Y0 ) )
| ( '#sk1' @ Y0 ) ) )
!= ( ^ [Y0: $i] :
( ( ( '#sk3' @ Y0 )
| ( '#sk1' @ Y0 ) )
& ( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
( ( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
| ( '#sk1' @ '#sk4' ) )
!= ( ( ( '#sk3' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) )
& ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl5_001,plain,
( ( ( ( '#sk3' @ '#sk4' )
& ( '#sk2' @ '#sk4' ) )
| ( '#sk1' @ '#sk4' ) )
!= ( ( ( '#sk3' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) )
& ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
( ( '#sk3' @ '#sk4' )
| ( ( ( $false
& ( '#sk2' @ '#sk4' ) )
| ( '#sk1' @ '#sk4' ) )
!= ( ( $false
| ( '#sk1' @ '#sk4' ) )
& ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
( ( '#sk3' @ '#sk4' )
| ( ( '#sk1' @ '#sk4' )
!= ( ( '#sk1' @ '#sk4' )
& ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
( ( '#sk2' @ '#sk4' )
| ( '#sk3' @ '#sk4' )
| ( ( '#sk1' @ '#sk4' )
!= ( ( '#sk1' @ '#sk4' )
& ( $false
| ( '#sk1' @ '#sk4' ) ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl13,plain,
( ( '#sk2' @ '#sk4' )
| ( '#sk3' @ '#sk4' )
| ( ( '#sk1' @ '#sk4' )
!= ( '#sk1' @ '#sk4' ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl14,plain,
( ( '#sk3' @ '#sk4' )
| ( '#sk2' @ '#sk4' ) ),
inference(simplify,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl9_002,plain,
( ( '#sk3' @ '#sk4' )
| ( ( '#sk1' @ '#sk4' )
!= ( ( '#sk1' @ '#sk4' )
& ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl19,plain,
( ( ( '#sk1' @ '#sk4' )
!= ( ( '#sk1' @ '#sk4' )
& ( $true
| ( '#sk1' @ '#sk4' ) ) ) )
| ( '#sk3' @ '#sk4' )
| ( '#sk3' @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl9]) ).
thf(zip_derived_cl23,plain,
( ( '#sk3' @ '#sk4' )
| ( ( '#sk1' @ '#sk4' )
!= ( ( '#sk1' @ '#sk4' )
& ( $true
| ( '#sk1' @ '#sk4' ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl24,plain,
( ( '#sk3' @ '#sk4' )
| ( ( '#sk1' @ '#sk4' )
!= ( '#sk1' @ '#sk4' ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl25,plain,
'#sk3' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl25_003,plain,
'#sk3' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl37,plain,
( ( ( $true
& ( '#sk2' @ '#sk4' ) )
| ( '#sk1' @ '#sk4' ) )
!= ( ( $true
| ( '#sk1' @ '#sk4' ) )
& ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl25,zip_derived_cl25]) ).
thf(zip_derived_cl38,plain,
( ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) )
!= ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl39,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET171^3 : TPTP v8.1.2. Released v3.6.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.syKNGU0wnF true
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 15:15:38 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.22/0.67 % Total configuration time : 828
% 0.22/0.67 % Estimated wc time : 1656
% 0.22/0.67 % Estimated cpu time (8 cpus) : 207.0
% 1.12/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.12/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.12/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.12/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.43/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.43/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.43/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.43/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.48/0.79 % Solved by lams/35_full_unif4.sh.
% 1.48/0.79 % done 4 iterations in 0.013s
% 1.48/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.48/0.79 % SZS output start Refutation
% See solution above
% 1.48/0.79
% 1.48/0.79
% 1.48/0.79 % Terminating...
% 1.63/0.86 % Runner terminated.
% 1.63/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------