TSTP Solution File: SET874+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET874+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.W1sRccOSFK 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 16:16:35 EDT 2023
% Result : Theorem 0.22s 0.77s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 12 unt; 6 typ; 0 def)
% Number of atoms : 31 ( 20 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 118 ( 12 ~; 8 |; 0 &; 95 @)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 36 ( 0 ^; 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_union2_type,type,
set_union2: $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(singleton_type,type,
singleton: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(l23_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ( ( set_union2 @ ( singleton @ A ) @ B )
= B ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( ( set_union2 @ ( singleton @ X1 ) @ X0 )
= X0 )
| ~ ( in @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[l23_zfmisc_1]) ).
thf(commutativity_k2_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_union2 @ A @ B )
= ( set_union2 @ B @ A ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( set_union2 @ X1 @ X0 )
= ( set_union2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ X0 )
| ( ( set_union2 @ X0 @ ( singleton @ X1 ) )
= X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl2]) ).
thf(t14_zfmisc_1,conjecture,
! [A: $i,B: $i] :
( ( set_union2 @ ( singleton @ A ) @ ( unordered_pair @ A @ B ) )
= ( unordered_pair @ A @ B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( set_union2 @ ( singleton @ A ) @ ( unordered_pair @ A @ B ) )
= ( unordered_pair @ A @ B ) ),
inference('cnf.neg',[status(esa)],[t14_zfmisc_1]) ).
thf(zip_derived_cl15,plain,
( ( set_union2 @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) )
!= ( unordered_pair @ sk__3 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i,X1: $i] :
( ( set_union2 @ X1 @ X0 )
= ( set_union2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).
thf(zip_derived_cl49,plain,
( ( set_union2 @ ( unordered_pair @ sk__3 @ sk__4 ) @ ( singleton @ sk__3 ) )
!= ( unordered_pair @ sk__3 @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl2]) ).
thf(zip_derived_cl75,plain,
( ~ ( in @ sk__3 @ ( unordered_pair @ sk__3 @ sk__4 ) )
| ( ( unordered_pair @ sk__3 @ sk__4 )
!= ( unordered_pair @ sk__3 @ sk__4 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl49]) ).
thf(zip_derived_cl77,plain,
~ ( in @ sk__3 @ ( unordered_pair @ sk__3 @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl75]) ).
thf(commutativity_k2_tarski,axiom,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
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_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X0 )
| ( in @ X1 @ X2 )
| ( X2
!= ( unordered_pair @ X3 @ X0 ) ) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( unordered_pair @ X2 @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( unordered_pair @ X1 @ X0 ) )
| ( in @ X1 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl50]) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i] : ( in @ X1 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl88,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET874+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.W1sRccOSFK true
% 0.13/0.35 % Computer : n027.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 : Sat Aug 26 16:13:35 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % Solved by fo/fo6_bce.sh.
% 0.22/0.77 % BCE start: 16
% 0.22/0.77 % BCE eliminated: 0
% 0.22/0.77 % PE start: 16
% 0.22/0.77 logic: eq
% 0.22/0.77 % PE eliminated: 0
% 0.22/0.77 % done 36 iterations in 0.018s
% 0.22/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.77 % SZS output start Refutation
% See solution above
% 0.22/0.77
% 0.22/0.77
% 0.22/0.77 % Terminating...
% 1.13/0.86 % Runner terminated.
% 1.13/0.87 % Zipperpin 1.5 exiting
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