TSTP Solution File: SEU119+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU119+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VXrGysuurP true
% Computer : n002.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 19:10:32 EDT 2023
% Result : Theorem 1.42s 0.81s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 59 ( 16 unt; 8 typ; 0 def)
% Number of atoms : 125 ( 34 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 437 ( 41 ~; 59 |; 11 &; 322 @)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 71 ( 0 ^; 69 !; 2 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__1_type,type,
sk__1: $i > $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(disjoint_type,type,
disjoint: $i > $i > $o ).
thf(d3_xboole_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_intersection2 @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
& ( in @ D @ B ) ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( set_intersection2 @ X0 @ X1 ) )
| ( in @ ( sk__1 @ X2 @ X1 @ X0 ) @ X0 )
| ( in @ ( sk__1 @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( set_intersection2 @ X0 @ X1 ) )
| ( in @ ( sk__1 @ X2 @ X1 @ X0 ) @ X1 )
| ( in @ ( sk__1 @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(t3_xboole_0,conjecture,
! [A: $i,B: $i] :
( ~ ( ? [C: $i] :
( ( in @ C @ B )
& ( in @ C @ A ) )
& ( disjoint @ A @ B ) )
& ~ ( ~ ( disjoint @ A @ B )
& ! [C: $i] :
~ ( ( in @ C @ A )
& ( in @ C @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ~ ( ? [C: $i] :
( ( in @ C @ B )
& ( in @ C @ A ) )
& ( disjoint @ A @ B ) )
& ~ ( ~ ( disjoint @ A @ B )
& ! [C: $i] :
~ ( ( in @ C @ A )
& ( in @ C @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[t3_xboole_0]) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( in @ sk__6 @ sk__5 )
| ~ ( in @ X0 @ sk__4 )
| ~ ( in @ X0 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl176,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__1 @ X1 @ sk__4 @ X0 ) @ X1 )
| ( X1
= ( set_intersection2 @ X0 @ sk__4 ) )
| ( in @ sk__6 @ sk__5 )
| ~ ( in @ ( sk__1 @ X1 @ sk__4 @ X0 ) @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl22]) ).
thf(zip_derived_cl232,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 @ sk__4 @ sk__5 ) @ X0 )
| ( X0
= ( set_intersection2 @ sk__5 @ sk__4 ) )
| ( in @ ( sk__1 @ X0 @ sk__4 @ sk__5 ) @ X0 )
| ( X0
= ( set_intersection2 @ sk__5 @ sk__4 ) )
| ( in @ sk__6 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl176]) ).
thf(commutativity_k3_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl1_001,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl236,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 @ sk__4 @ sk__5 ) @ X0 )
| ( X0
= ( set_intersection2 @ sk__4 @ sk__5 ) )
| ( in @ ( sk__1 @ X0 @ sk__4 @ sk__5 ) @ X0 )
| ( X0
= ( set_intersection2 @ sk__4 @ sk__5 ) )
| ( in @ sk__6 @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl232,zip_derived_cl1,zip_derived_cl1]) ).
thf(zip_derived_cl237,plain,
! [X0: $i] :
( ( in @ sk__6 @ sk__5 )
| ( X0
= ( set_intersection2 @ sk__4 @ sk__5 ) )
| ( in @ ( sk__1 @ X0 @ sk__4 @ sk__5 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl236]) ).
thf(d1_xboole_0,axiom,
! [A: $i] :
( ( A = empty_set )
<=> ! [B: $i] :
~ ( in @ B @ A ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( X1 != empty_set ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(zip_derived_cl118,plain,
! [X0: $i] :
~ ( in @ X0 @ empty_set ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl391,plain,
( ( empty_set
= ( set_intersection2 @ sk__4 @ sk__5 ) )
| ( in @ sk__6 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl237,zip_derived_cl118]) ).
thf(d7_xboole_0,axiom,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
<=> ( ( set_intersection2 @ A @ B )
= empty_set ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ( ( set_intersection2 @ X0 @ X1 )
!= empty_set ) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
thf(zip_derived_cl21,plain,
( ( in @ sk__6 @ sk__5 )
| ~ ( disjoint @ sk__4 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126,plain,
( ( ( set_intersection2 @ sk__4 @ sk__5 )
!= empty_set )
| ( in @ sk__6 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl21]) ).
thf(zip_derived_cl409,plain,
in @ sk__6 @ sk__5,
inference(clc,[status(thm)],[zip_derived_cl391,zip_derived_cl126]) ).
thf(zip_derived_cl9_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( set_intersection2 @ X0 @ X1 ) )
| ( in @ ( sk__1 @ X2 @ X1 @ X0 ) @ X0 )
| ( in @ ( sk__1 @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl8_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( set_intersection2 @ X0 @ X1 ) )
| ( in @ ( sk__1 @ X2 @ X1 @ X0 ) @ X1 )
| ( in @ ( sk__1 @ X2 @ X1 @ X0 ) @ X2 ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ( in @ sk__6 @ sk__4 )
| ~ ( in @ X0 @ sk__4 )
| ~ ( in @ X0 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl165,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__1 @ X1 @ sk__4 @ X0 ) @ X1 )
| ( X1
= ( set_intersection2 @ X0 @ sk__4 ) )
| ( in @ sk__6 @ sk__4 )
| ~ ( in @ ( sk__1 @ X1 @ sk__4 @ X0 ) @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl20]) ).
thf(zip_derived_cl201,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 @ sk__4 @ sk__5 ) @ X0 )
| ( X0
= ( set_intersection2 @ sk__5 @ sk__4 ) )
| ( in @ ( sk__1 @ X0 @ sk__4 @ sk__5 ) @ X0 )
| ( X0
= ( set_intersection2 @ sk__5 @ sk__4 ) )
| ( in @ sk__6 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl165]) ).
thf(zip_derived_cl1_004,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl1_005,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl205,plain,
! [X0: $i] :
( ( in @ ( sk__1 @ X0 @ sk__4 @ sk__5 ) @ X0 )
| ( X0
= ( set_intersection2 @ sk__4 @ sk__5 ) )
| ( in @ ( sk__1 @ X0 @ sk__4 @ sk__5 ) @ X0 )
| ( X0
= ( set_intersection2 @ sk__4 @ sk__5 ) )
| ( in @ sk__6 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl1,zip_derived_cl1]) ).
thf(zip_derived_cl206,plain,
! [X0: $i] :
( ( in @ sk__6 @ sk__4 )
| ( X0
= ( set_intersection2 @ sk__4 @ sk__5 ) )
| ( in @ ( sk__1 @ X0 @ sk__4 @ sk__5 ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl205]) ).
thf(zip_derived_cl118_006,plain,
! [X0: $i] :
~ ( in @ X0 @ empty_set ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl250,plain,
( ( empty_set
= ( set_intersection2 @ sk__4 @ sk__5 ) )
| ( in @ sk__6 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl118]) ).
thf(zip_derived_cl11_007,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ( ( set_intersection2 @ X0 @ X1 )
!= empty_set ) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
thf(zip_derived_cl19,plain,
( ( in @ sk__6 @ sk__4 )
| ~ ( disjoint @ sk__4 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121,plain,
( ( ( set_intersection2 @ sk__4 @ sk__5 )
!= empty_set )
| ( in @ sk__6 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl19]) ).
thf(zip_derived_cl266,plain,
in @ sk__6 @ sk__4,
inference(clc,[status(thm)],[zip_derived_cl250,zip_derived_cl121]) ).
thf(zip_derived_cl24,plain,
! [X0: $i] :
( ( disjoint @ sk__4 @ sk__5 )
| ~ ( in @ X0 @ sk__4 )
| ~ ( in @ X0 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl269,plain,
( ( disjoint @ sk__4 @ sk__5 )
| ~ ( in @ sk__6 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl266,zip_derived_cl24]) ).
thf(zip_derived_cl409_008,plain,
in @ sk__6 @ sk__5,
inference(clc,[status(thm)],[zip_derived_cl391,zip_derived_cl126]) ).
thf(zip_derived_cl410,plain,
disjoint @ sk__4 @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl269,zip_derived_cl409]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( ( set_intersection2 @ X0 @ X1 )
= empty_set )
| ~ ( disjoint @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
thf(zip_derived_cl413,plain,
( ( set_intersection2 @ sk__4 @ sk__5 )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl410,zip_derived_cl10]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X0 @ X2 )
| ( in @ X0 @ X3 )
| ( X3
!= ( set_intersection2 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( set_intersection2 @ X1 @ X0 ) )
| ~ ( in @ X2 @ X0 )
| ~ ( in @ X2 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl423,plain,
! [X0: $i] :
( ( in @ X0 @ empty_set )
| ~ ( in @ X0 @ sk__5 )
| ~ ( in @ X0 @ sk__4 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl413,zip_derived_cl130]) ).
thf(zip_derived_cl118_009,plain,
! [X0: $i] :
~ ( in @ X0 @ empty_set ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl433,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__5 )
| ~ ( in @ X0 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl118]) ).
thf(zip_derived_cl442,plain,
~ ( in @ sk__6 @ sk__4 ),
inference('s_sup-',[status(thm)],[zip_derived_cl409,zip_derived_cl433]) ).
thf(zip_derived_cl266_010,plain,
in @ sk__6 @ sk__4,
inference(clc,[status(thm)],[zip_derived_cl250,zip_derived_cl121]) ).
thf(zip_derived_cl443,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl266]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU119+2 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VXrGysuurP true
% 0.13/0.35 % Computer : n002.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 : Thu Aug 24 01:33:46 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
% 0.13/0.36 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.42/0.81 % Solved by fo/fo6_bce.sh.
% 1.42/0.81 % BCE start: 25
% 1.42/0.81 % BCE eliminated: 0
% 1.42/0.81 % PE start: 25
% 1.42/0.81 logic: eq
% 1.42/0.81 % PE eliminated: 1
% 1.42/0.81 % done 113 iterations in 0.066s
% 1.42/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.42/0.81 % SZS output start Refutation
% See solution above
% 1.42/0.81
% 1.42/0.81
% 1.42/0.81 % Terminating...
% 1.65/0.85 % Runner terminated.
% 1.65/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------