TSTP Solution File: LCL720^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL720^1 : TPTP v8.1.2. Bugfixed v5.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1GvKTvx7TE true
% Computer : n011.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 09:01:44 EDT 2023
% Result : Theorem 1.36s 0.76s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 22
% Syntax : Number of formulae : 35 ( 19 unt; 10 typ; 0 def)
% Number of atoms : 75 ( 15 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 120 ( 24 ~; 22 |; 0 &; 74 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 43 ( 43 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 47 ( 30 ^; 17 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
thf(psi_type,type,
psi: $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(rel_k_type,type,
rel_k: $i > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(phi_type,type,
phi: $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(mbox_k_type,type,
mbox_k: ( $i > $o ) > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mbox_k,axiom,
( mbox_k
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_k @ W @ V ) ) ) ) ).
thf('0',plain,
( mbox_k
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_k @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_k]) ).
thf('1',plain,
( mbox_k
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_k @ V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('2',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('3',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ) ).
thf('4',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('5',plain,
( mor
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('6',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('7',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('8',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'5','7']) ).
thf('9',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(conj,conjecture,
mvalid @ ( mimplies @ ( mbox_k @ ( mimplies @ phi @ psi ) ) @ ( mimplies @ ( mbox_k @ phi ) @ ( mbox_k @ psi ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ~ ! [X6: $i] :
( ~ ( phi @ X6 )
| ( psi @ X6 )
| ~ ( rel_k @ X4 @ X6 ) )
| ~ ! [X8: $i] :
( ( phi @ X8 )
| ~ ( rel_k @ X4 @ X8 ) )
| ! [X10: $i] :
( ( psi @ X10 )
| ~ ( rel_k @ X4 @ X10 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ~ ! [X6: $i] :
( ~ ( phi @ X6 )
| ( psi @ X6 )
| ~ ( rel_k @ X4 @ X6 ) )
| ~ ! [X8: $i] :
( ( phi @ X8 )
| ~ ( rel_k @ X4 @ X8 ) )
| ! [X10: $i] :
( ( psi @ X10 )
| ~ ( rel_k @ X4 @ X10 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( psi @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X1: $i] :
( ~ ( phi @ X1 )
| ( psi @ X1 )
| ~ ( rel_k @ sk__2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( phi @ X0 )
| ~ ( rel_k @ sk__2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X1: $i] :
( ~ ( rel_k @ sk__2 @ X1 )
| ( psi @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).
thf(zip_derived_cl1,plain,
rel_k @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
psi @ sk__3,
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).
thf(zip_derived_cl13,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL720^1 : TPTP v8.1.2. Bugfixed v5.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1GvKTvx7TE true
% 0.14/0.35 % Computer : n011.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 : Fri Aug 25 07:01:08 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
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.21/0.68 % Total configuration time : 828
% 0.21/0.68 % Estimated wc time : 1656
% 0.21/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.25/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.36/0.76 % Solved by lams/40_c.s.sh.
% 1.36/0.76 % done 8 iterations in 0.020s
% 1.36/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.36/0.76 % SZS output start Refutation
% See solution above
% 1.36/0.76
% 1.36/0.76
% 1.36/0.76 % Terminating...
% 1.68/0.88 % Runner terminated.
% 1.68/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------