TSTP Solution File: SET912+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET912+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IIl23bzOBv true
% Computer : n010.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 16:16:46 EDT 2023
% Result : Theorem 0.21s 0.75s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 25 ( 9 unt; 7 typ; 0 def)
% Number of atoms : 34 ( 13 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 134 ( 14 ~; 9 |; 3 &; 104 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 0 ^; 28 !; 0 ?; 28 :)
% 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__3_type,type,
sk__3: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(t38_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( subset @ ( unordered_pair @ A @ B ) @ C )
<=> ( ( in @ A @ C )
& ( in @ B @ C ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( unordered_pair @ X0 @ X1 ) @ X2 )
| ~ ( in @ X1 @ X2 )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t38_zfmisc_1]) ).
thf(t28_xboole_1,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( set_intersection2 @ A @ B )
= A ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( ( set_intersection2 @ X0 @ X1 )
= X0 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t28_xboole_1]) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ X0 )
| ~ ( in @ X1 @ X0 )
| ( ( set_intersection2 @ ( unordered_pair @ X2 @ X1 ) @ X0 )
= ( unordered_pair @ X2 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl7]) ).
thf(commutativity_k3_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X2 )
| ~ ( in @ X1 @ X2 )
| ( ( set_intersection2 @ X2 @ ( unordered_pair @ X1 @ X0 ) )
= ( unordered_pair @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl84,zip_derived_cl2]) ).
thf(t53_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( in @ A @ B )
& ( in @ C @ B ) )
=> ( ( set_intersection2 @ ( unordered_pair @ A @ C ) @ B )
= ( unordered_pair @ A @ C ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( in @ A @ B )
& ( in @ C @ B ) )
=> ( ( set_intersection2 @ ( unordered_pair @ A @ C ) @ B )
= ( unordered_pair @ A @ C ) ) ),
inference('cnf.neg',[status(esa)],[t53_zfmisc_1]) ).
thf(zip_derived_cl11,plain,
( ( set_intersection2 @ ( unordered_pair @ sk__2 @ sk__4 ) @ sk__3 )
!= ( unordered_pair @ sk__2 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_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_cl70,plain,
( ( set_intersection2 @ sk__3 @ ( unordered_pair @ sk__2 @ sk__4 ) )
!= ( unordered_pair @ sk__2 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl2]) ).
thf(zip_derived_cl96,plain,
( ~ ( in @ sk__2 @ sk__3 )
| ~ ( in @ sk__4 @ sk__3 )
| ( ( unordered_pair @ sk__2 @ sk__4 )
!= ( unordered_pair @ sk__2 @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl70]) ).
thf(zip_derived_cl13,plain,
in @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
in @ sk__4 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl99,plain,
( ( unordered_pair @ sk__2 @ sk__4 )
!= ( unordered_pair @ sk__2 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl13,zip_derived_cl12]) ).
thf(zip_derived_cl100,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET912+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IIl23bzOBv true
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 10:36:35 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 FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 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/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /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 % Solved by fo/fo6_bce.sh.
% 0.21/0.75 % BCE start: 14
% 0.21/0.75 % BCE eliminated: 0
% 0.21/0.75 % PE start: 14
% 0.21/0.75 logic: eq
% 0.21/0.75 % PE eliminated: 1
% 0.21/0.75 % done 34 iterations in 0.016s
% 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...
% 1.47/0.85 % Runner terminated.
% 1.63/0.86 % Zipperpin 1.5 exiting
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