TSTP Solution File: SYO462^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO462^2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8tgWqpCbNZ true
% Computer : n024.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 : Fri Sep 1 05:51:26 EDT 2023
% Result : Theorem 0.59s 0.81s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 29
% Syntax : Number of formulae : 63 ( 27 unt; 13 typ; 0 def)
% Number of atoms : 170 ( 21 equ; 0 cnn)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 343 ( 76 ~; 65 |; 0 &; 202 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 65 ( 65 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 74 ( 42 ^; 32 !; 0 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
thf(q_type,type,
q: $i > $o ).
thf(rel_d_type,type,
rel_d: $i > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(p_type,type,
p: $i > $o ).
thf(mbox_d_type,type,
mbox_d: ( $i > $o ) > $i > $o ).
thf(mequiv_type,type,
mequiv: ( $i > $o ) > ( $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_d,axiom,
( mbox_d
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_d @ W @ V ) ) ) ) ).
thf('0',plain,
( mbox_d
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_d @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_d]) ).
thf('1',plain,
( mbox_d
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_d @ 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(mequiv,axiom,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ) ).
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(mand,axiom,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ) ).
thf('10',plain,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand,'5','7']) ).
thf('11',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf('12',plain,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mequiv,'9','11','5','7']) ).
thf('13',plain,
( mequiv
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mand @ ( mimplies @ V_1 @ V_2 ) @ ( mimplies @ V_2 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(prove,conjecture,
mvalid @ ( mimplies @ ( mbox_d @ ( mequiv @ p @ q ) ) @ ( mequiv @ ( mbox_d @ p ) @ ( mbox_d @ q ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ~ ! [X6: $i] :
( ~ ( ~ ( ~ ( p @ X6 )
| ( q @ X6 ) )
| ~ ( ~ ( q @ X6 )
| ( p @ X6 ) ) )
| ~ ( rel_d @ X4 @ X6 ) )
| ~ ( ~ ( ~ ! [X8: $i] :
( ( p @ X8 )
| ~ ( rel_d @ X4 @ X8 ) )
| ! [X10: $i] :
( ( q @ X10 )
| ~ ( rel_d @ X4 @ X10 ) ) )
| ~ ( ~ ! [X12: $i] :
( ( q @ X12 )
| ~ ( rel_d @ X4 @ X12 ) )
| ! [X14: $i] :
( ( p @ X14 )
| ~ ( rel_d @ X4 @ X14 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ~ ! [X6: $i] :
( ~ ( ~ ( ~ ( p @ X6 )
| ( q @ X6 ) )
| ~ ( ~ ( q @ X6 )
| ( p @ X6 ) ) )
| ~ ( rel_d @ X4 @ X6 ) )
| ~ ( ~ ( ~ ! [X8: $i] :
( ( p @ X8 )
| ~ ( rel_d @ X4 @ X8 ) )
| ! [X10: $i] :
( ( q @ X10 )
| ~ ( rel_d @ X4 @ X10 ) ) )
| ~ ( ~ ! [X12: $i] :
( ( q @ X12 )
| ~ ( rel_d @ X4 @ X12 ) )
| ! [X14: $i] :
( ( p @ X14 )
| ~ ( rel_d @ X4 @ X14 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] :
( ( p @ X2 )
| ~ ( q @ X2 )
| ~ ( rel_d @ sk__5 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
( ~ ( q @ sk__6 )
| ( rel_d @ sk__5 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X1: $i] :
( ~ ( q @ sk__6 )
| ( q @ X1 )
| ~ ( rel_d @ sk__5 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
! [X2: $i] :
( ( q @ X2 )
| ~ ( p @ X2 )
| ~ ( rel_d @ sk__5 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ~ ( rel_d @ sk__5 @ X0 )
| ( q @ X0 )
| ~ ( rel_d @ sk__5 @ sk__6 )
| ~ ( p @ sk__6 ) ),
inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl10]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( rel_d @ sk__5 @ X0 )
| ( p @ X0 )
| ( q @ X1 )
| ~ ( rel_d @ sk__5 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ~ ( rel_d @ sk__5 @ sk__6 )
| ( q @ X0 )
| ~ ( rel_d @ sk__5 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl31,zip_derived_cl1]) ).
thf(zip_derived_cl59,plain,
( ( rel_d @ sk__5 @ sk__7 )
| ~ ( rel_d @ sk__5 @ sk__6 )
| ~ ( rel_d @ sk__5 @ sk__6 ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl52]) ).
thf(zip_derived_cl72,plain,
( ~ ( rel_d @ sk__5 @ sk__6 )
| ( rel_d @ sk__5 @ sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl5,plain,
( ( rel_d @ sk__5 @ sk__6 )
| ( rel_d @ sk__5 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl90,plain,
rel_d @ sk__5 @ sk__7,
inference(clc,[status(thm)],[zip_derived_cl72,zip_derived_cl5]) ).
thf(zip_derived_cl1_001,plain,
! [X0: $i,X1: $i] :
( ~ ( rel_d @ sk__5 @ X0 )
| ( p @ X0 )
| ( q @ X1 )
| ~ ( rel_d @ sk__5 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl91,plain,
! [X0: $i] :
( ~ ( rel_d @ sk__5 @ X0 )
| ( q @ X0 )
| ( p @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl1]) ).
thf(zip_derived_cl52_002,plain,
! [X0: $i] :
( ~ ( rel_d @ sk__5 @ sk__6 )
| ( q @ X0 )
| ~ ( rel_d @ sk__5 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl31,zip_derived_cl1]) ).
thf(zip_derived_cl9,plain,
( ~ ( q @ sk__6 )
| ~ ( p @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl54,plain,
( ~ ( rel_d @ sk__5 @ sk__6 )
| ~ ( rel_d @ sk__5 @ sk__6 )
| ~ ( p @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl9]) ).
thf(zip_derived_cl76,plain,
( ~ ( p @ sk__7 )
| ~ ( rel_d @ sk__5 @ sk__6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl6,plain,
( ( rel_d @ sk__5 @ sk__6 )
| ~ ( p @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl89,plain,
~ ( p @ sk__7 ),
inference(clc,[status(thm)],[zip_derived_cl76,zip_derived_cl6]) ).
thf(zip_derived_cl97,plain,
! [X0: $i] :
( ( q @ X0 )
| ~ ( rel_d @ sk__5 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl91,zip_derived_cl89]) ).
thf(zip_derived_cl101,plain,
! [X0: $i] :
( ~ ( rel_d @ sk__5 @ X0 )
| ( p @ X0 )
| ~ ( rel_d @ sk__5 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl97]) ).
thf(zip_derived_cl106,plain,
! [X0: $i] :
( ( p @ X0 )
| ~ ( rel_d @ sk__5 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl89_003,plain,
~ ( p @ sk__7 ),
inference(clc,[status(thm)],[zip_derived_cl76,zip_derived_cl6]) ).
thf(zip_derived_cl110,plain,
~ ( rel_d @ sk__5 @ sk__7 ),
inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl89]) ).
thf(zip_derived_cl90_004,plain,
rel_d @ sk__5 @ sk__7,
inference(clc,[status(thm)],[zip_derived_cl72,zip_derived_cl5]) ).
thf(zip_derived_cl112,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYO462^2 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8tgWqpCbNZ true
% 0.14/0.37 % Computer : n024.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sat Aug 26 06:53:09 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in HO mode
% 0.23/0.69 % Total configuration time : 828
% 0.23/0.69 % Estimated wc time : 1656
% 0.23/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.81 % Solved by lams/40_c.s.sh.
% 0.59/0.81 % done 24 iterations in 0.030s
% 0.59/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.81 % SZS output start Refutation
% See solution above
% 0.59/0.81
% 0.59/0.81
% 0.59/0.81 % Terminating...
% 0.63/0.89 % Runner terminated.
% 0.63/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------