TSTP Solution File: SEU120+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU120+1 : 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.eQXHhEhYsm true
% Computer : n006.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 0.22s 0.74s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 33 ( 8 unt; 8 typ; 0 def)
% Number of atoms : 46 ( 16 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 147 ( 23 ~; 12 |; 6 &; 103 @)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 33 ( 0 ^; 31 !; 2 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(disjoint_type,type,
disjoint: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__3_type,type,
sk__3: $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(d7_xboole_0,axiom,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
<=> ( ( set_intersection2 @ A @ B )
= empty_set ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ( ( set_intersection2 @ X0 @ X1 )
!= empty_set ) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
thf(symmetry_r1_xboole_0,axiom,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
=> ( disjoint @ B @ A ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ~ ( disjoint @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[symmetry_r1_xboole_0]) ).
thf(zip_derived_cl74,plain,
! [X0: $i,X1: $i] :
( ( ( set_intersection2 @ X1 @ X0 )
!= empty_set )
| ( disjoint @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl12]) ).
thf(t4_xboole_0,conjecture,
! [A: $i,B: $i] :
( ~ ( ? [C: $i] : ( in @ C @ ( set_intersection2 @ A @ B ) )
& ( disjoint @ A @ B ) )
& ~ ( ~ ( disjoint @ A @ B )
& ! [C: $i] :
~ ( in @ C @ ( set_intersection2 @ A @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ~ ( ? [C: $i] : ( in @ C @ ( set_intersection2 @ A @ B ) )
& ( disjoint @ A @ B ) )
& ~ ( ~ ( disjoint @ A @ B )
& ! [C: $i] :
~ ( in @ C @ ( set_intersection2 @ A @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[t4_xboole_0]) ).
thf(zip_derived_cl13,plain,
( ( in @ sk__5 @ ( set_intersection2 @ sk__3 @ sk__4 ) )
| ~ ( disjoint @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl79,plain,
( ( ( set_intersection2 @ sk__4 @ sk__3 )
!= empty_set )
| ( in @ sk__5 @ ( set_intersection2 @ sk__3 @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl13]) ).
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_cl80,plain,
( ( ( set_intersection2 @ sk__3 @ sk__4 )
!= empty_set )
| ( in @ sk__5 @ ( set_intersection2 @ sk__3 @ sk__4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl1]) ).
thf(d1_xboole_0,axiom,
! [A: $i] :
( ( A = empty_set )
<=> ! [B: $i] :
~ ( in @ B @ A ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ( in @ ( sk_ @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( disjoint @ sk__3 @ sk__4 )
| ~ ( in @ X0 @ ( set_intersection2 @ sk__3 @ sk__4 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl81,plain,
( ( ( set_intersection2 @ sk__3 @ sk__4 )
= empty_set )
| ( disjoint @ sk__3 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl16]) ).
thf(zip_derived_cl5_001,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ( ( set_intersection2 @ X0 @ X1 )
!= empty_set ) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
thf(zip_derived_cl82,plain,
disjoint @ sk__3 @ sk__4,
inference(clc,[status(thm)],[zip_derived_cl81,zip_derived_cl5]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( ( set_intersection2 @ X0 @ X1 )
= empty_set )
| ~ ( disjoint @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
thf(zip_derived_cl84,plain,
( ( set_intersection2 @ sk__3 @ sk__4 )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl4]) ).
thf(zip_derived_cl84_002,plain,
( ( set_intersection2 @ sk__3 @ sk__4 )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl4]) ).
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_cl68,plain,
! [X0: $i] :
~ ( in @ X0 @ empty_set ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl93,plain,
empty_set != empty_set,
inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl84,zip_derived_cl84,zip_derived_cl68]) ).
thf(zip_derived_cl94,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU120+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eQXHhEhYsm true
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 19:18:08 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 FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % Solved by fo/fo6_bce.sh.
% 0.22/0.74 % BCE start: 17
% 0.22/0.74 % BCE eliminated: 0
% 0.22/0.74 % PE start: 17
% 0.22/0.74 logic: eq
% 0.22/0.74 % PE eliminated: 1
% 0.22/0.74 % done 26 iterations in 0.011s
% 0.22/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.74 % SZS output start Refutation
% See solution above
% 0.22/0.74
% 0.22/0.74
% 0.22/0.74 % Terminating...
% 1.21/0.77 % Runner terminated.
% 1.21/0.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------