TSTP Solution File: SET002^3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET002^3 : TPTP v8.1.2. Released v8.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SFaLn5F1GX true
% Computer : n004.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 16:11:33 EDT 2023
% Result : Theorem 1.09s 0.78s
% Output : Refutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 21
% Syntax : Number of formulae : 30 ( 16 unt; 9 typ; 0 def)
% Number of atoms : 41 ( 9 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 85 ( 4 ~; 1 |; 0 &; 76 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 33 ( 22 ^; 11 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(union_type,type,
union: $i > $i > $i ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(subset_type,type,
subset: $i > $i > mworld > $o ).
thf(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(qmltpeq_type,type,
qmltpeq: $i > $i > mworld > $o ).
thf(mforall_di_def,axiom,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] : ( A @ X @ W ) ) ) ).
thf('0',plain,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] : ( A @ X @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_di_def]) ).
thf('1',plain,
( mforall_di
= ( ^ [V_1: $i > mworld > $o,V_2: mworld] :
! [X4: $i] : ( V_1 @ X4 @ V_2 ) ) ),
define([status(thm)]) ).
thf(mimplies_def,axiom,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ) ).
thf('2',plain,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).
thf('3',plain,
( mimplies
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
=> ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
thf('4',plain,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).
thf('5',plain,
( mlocal
= ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
define([status(thm)]) ).
thf(subset_union,axiom,
( mlocal
@ ( mforall_di
@ ^ [B: $i] :
( mforall_di
@ ^ [C: $i] : ( mimplies @ ( subset @ B @ C ) @ ( qmltpeq @ ( union @ B @ C ) @ C ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [X4: $i,X6: $i] :
( ( subset @ X4 @ X6 @ mactual )
=> ( qmltpeq @ ( union @ X4 @ X6 ) @ X6 @ mactual ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( qmltpeq @ ( union @ X0 @ X1 ) @ X1 @ mactual )
| ~ ( subset @ X0 @ X1 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(prove_idempotency_of_union,conjecture,
( mlocal
@ ( mforall_di
@ ^ [B: $i] : ( qmltpeq @ ( union @ B @ B ) @ B ) ) ) ).
thf(zf_stmt_1,conjecture,
! [X4: $i] : ( qmltpeq @ ( union @ X4 @ X4 ) @ X4 @ mactual ) ).
thf(zf_stmt_2,negated_conjecture,
~ ! [X4: $i] : ( qmltpeq @ ( union @ X4 @ X4 ) @ X4 @ mactual ),
inference('cnf.neg',[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl26,plain,
~ ( qmltpeq @ ( union @ sk__7 @ sk__7 ) @ sk__7 @ mactual ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl72,plain,
~ ( subset @ sk__7 @ sk__7 @ mactual ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl26]) ).
thf(reflexivity_of_subset,axiom,
( mlocal
@ ( mforall_di
@ ^ [B: $i] : ( subset @ B @ B ) ) ) ).
thf(zf_stmt_3,axiom,
! [X4: $i] : ( subset @ X4 @ X4 @ mactual ) ).
thf(zip_derived_cl21,plain,
! [X0: $i] : ( subset @ X0 @ X0 @ mactual ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl82,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl72,zip_derived_cl21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET002^3 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SFaLn5F1GX true
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 14:52:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.68 % Total configuration time : 828
% 0.22/0.68 % Estimated wc time : 1656
% 0.22/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.09/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.09/0.78 % Solved by lams/40_c.s.sh.
% 1.09/0.78 % done 18 iterations in 0.030s
% 1.09/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.09/0.78 % SZS output start Refutation
% See solution above
% 1.09/0.78
% 1.09/0.78
% 1.09/0.78 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.09/0.78 % Terminating...
% 1.76/0.89 % Runner terminated.
% 1.76/0.90 % Zipperpin 1.5 exiting
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