TSTP Solution File: SET916+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET916+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.EmN3mg9lYw true
% Computer : n027.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 16:16:48 EDT 2023
% Result : Theorem 0.22s 0.89s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 35 ( 13 unt; 8 typ; 0 def)
% Number of atoms : 54 ( 17 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 216 ( 25 ~; 15 |; 8 &; 164 @)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 0 ^; 44 !; 1 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(disjoint_type,type,
disjoint: $i > $i > $o ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(t4_xboole_0,axiom,
! [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(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ( in @ ( sk__4 @ X1 @ X0 ) @ ( set_intersection2 @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[t4_xboole_0]) ).
thf(t57_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
~ ( ~ ( in @ A @ B )
& ~ ( in @ C @ B )
& ~ ( disjoint @ ( unordered_pair @ A @ C ) @ B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
~ ( ~ ( in @ A @ B )
& ~ ( in @ C @ B )
& ~ ( disjoint @ ( unordered_pair @ A @ C ) @ B ) ),
inference('cnf.neg',[status(esa)],[t57_zfmisc_1]) ).
thf(zip_derived_cl22,plain,
~ ( disjoint @ ( unordered_pair @ sk__5 @ sk__7 ) @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91,plain,
in @ ( sk__4 @ sk__6 @ ( unordered_pair @ sk__5 @ sk__7 ) ) @ ( set_intersection2 @ ( unordered_pair @ sk__5 @ sk__7 ) @ sk__6 ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl22]) ).
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_cl93,plain,
in @ ( sk__4 @ sk__6 @ ( unordered_pair @ sk__5 @ sk__7 ) ) @ ( set_intersection2 @ sk__6 @ ( unordered_pair @ sk__5 @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl2]) ).
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_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( X1
!= ( set_intersection2 @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X0 )
| ~ ( in @ X1 @ ( set_intersection2 @ X0 @ X2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl98,plain,
in @ ( sk__4 @ sk__6 @ ( unordered_pair @ sk__5 @ sk__7 ) ) @ sk__6,
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl31]) ).
thf(zip_derived_cl93_001,plain,
in @ ( sk__4 @ sk__6 @ ( unordered_pair @ sk__5 @ sk__7 ) ) @ ( set_intersection2 @ sk__6 @ ( unordered_pair @ sk__5 @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl2]) ).
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_cl30,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_cl97,plain,
in @ ( sk__4 @ sk__6 @ ( unordered_pair @ sk__5 @ sk__7 ) ) @ ( unordered_pair @ sk__5 @ sk__7 ),
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl30]) ).
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_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X0 = X3 )
| ( X1
!= ( unordered_pair @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( X0 = X2 )
| ~ ( in @ X0 @ ( unordered_pair @ X2 @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl146,plain,
( ( ( sk__4 @ sk__6 @ ( unordered_pair @ sk__5 @ sk__7 ) )
= sk__5 )
| ( ( sk__4 @ sk__6 @ ( unordered_pair @ sk__5 @ sk__7 ) )
= sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl78]) ).
thf(zip_derived_cl98_002,plain,
in @ ( sk__4 @ sk__6 @ ( unordered_pair @ sk__5 @ sk__7 ) ) @ sk__6,
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl31]) ).
thf(zip_derived_cl357,plain,
( ( in @ sk__7 @ sk__6 )
| ( ( sk__4 @ sk__6 @ ( unordered_pair @ sk__5 @ sk__7 ) )
= sk__5 ) ),
inference('sup+',[status(thm)],[zip_derived_cl146,zip_derived_cl98]) ).
thf(zip_derived_cl21,plain,
~ ( in @ sk__7 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl367,plain,
( ( sk__4 @ sk__6 @ ( unordered_pair @ sk__5 @ sk__7 ) )
= sk__5 ),
inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl21]) ).
thf(zip_derived_cl23,plain,
~ ( in @ sk__5 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl415,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl367,zip_derived_cl23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET916+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EmN3mg9lYw true
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 16:30:35 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.89 % Solved by fo/fo7.sh.
% 0.22/0.89 % done 183 iterations in 0.096s
% 0.22/0.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.89 % SZS output start Refutation
% See solution above
% 0.22/0.89
% 0.22/0.89
% 0.22/0.89 % Terminating...
% 1.74/0.97 % Runner terminated.
% 1.74/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------