TSTP Solution File: SET920+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET920+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.h9Ta54jNEZ true
% Computer : n016.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 16:16:49 EDT 2023
% Result : Theorem 0.20s 0.73s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 5 unt; 6 typ; 0 def)
% Number of atoms : 29 ( 11 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 92 ( 9 ~; 8 |; 1 &; 68 @)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 0 ^; 31 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(t63_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( set_intersection2 @ ( unordered_pair @ A @ B ) @ C )
= ( unordered_pair @ A @ B ) )
=> ( in @ A @ C ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( set_intersection2 @ ( unordered_pair @ A @ B ) @ C )
= ( unordered_pair @ A @ B ) )
=> ( in @ A @ C ) ),
inference('cnf.neg',[status(esa)],[t63_zfmisc_1]) ).
thf(zip_derived_cl19,plain,
~ ( in @ sk__4 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d2_tarski,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( unordered_pair @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( D = A )
| ( D = B ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X0 )
| ( in @ X1 @ X2 )
| ( X2
!= ( unordered_pair @ X0 @ X3 ) ) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( unordered_pair @ X2 @ X1 ) )
| ( in @ X2 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl97,plain,
! [X0: $i,X1: $i] : ( in @ X1 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl77]) ).
thf(zip_derived_cl18,plain,
( ( set_intersection2 @ ( unordered_pair @ sk__4 @ sk__5 ) @ sk__6 )
= ( unordered_pair @ sk__4 @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( X1
!= ( set_intersection2 @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X0 )
| ~ ( in @ X1 @ ( set_intersection2 @ X2 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl88,plain,
! [X0: $i] :
( ( in @ X0 @ sk__6 )
| ~ ( in @ X0 @ ( unordered_pair @ sk__4 @ sk__5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl81]) ).
thf(zip_derived_cl136,plain,
in @ sk__4 @ sk__6,
inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl88]) ).
thf(zip_derived_cl153,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET920+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.h9Ta54jNEZ true
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 13:10:27 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % Solved by fo/fo6_bce.sh.
% 0.20/0.73 % BCE start: 20
% 0.20/0.73 % BCE eliminated: 0
% 0.20/0.73 % PE start: 20
% 0.20/0.73 logic: eq
% 0.20/0.73 % PE eliminated: 1
% 0.20/0.73 % done 42 iterations in 0.025s
% 0.20/0.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.73 % SZS output start Refutation
% See solution above
% 0.20/0.73
% 0.20/0.73
% 0.20/0.73 % Terminating...
% 0.20/0.86 % Runner terminated.
% 0.20/0.87 % Zipperpin 1.5 exiting
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