TSTP Solution File: SYO485^6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO485^6 : 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.pntoYpSMAo true
% Computer : n014.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 05:51:40 EDT 2023
% Result : Theorem 0.22s 0.79s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 32
% Syntax : Number of formulae : 52 ( 28 unt; 12 typ; 0 def)
% Number of atoms : 120 ( 36 equ; 6 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 155 ( 32 ~; 12 |; 0 &; 99 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 57 ( 57 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 11 usr; 5 con; 0-3 aty)
% ( 12 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 85 ( 56 ^; 29 !; 0 ?; 85 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(rel_s5_type,type,
rel_s5: $i > $i > $o ).
thf(mreflexive_type,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mdia_s5_type,type,
mdia_s5: ( $i > $o ) > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(mbox_s5_type,type,
mbox_s5: ( $i > $o ) > $i > $o ).
thf(meq_ind_type,type,
meq_ind: mu > mu > $i > $o ).
thf(mexists_ind_type,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf('#sk2_type',type,
'#sk2': mu ).
thf(mforall_ind_type,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mreflexive,axiom,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ) ).
thf('0',plain,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
inference(simplify_rw_rule,[status(thm)],[mreflexive]) ).
thf('1',plain,
( mreflexive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i] : ( V_1 @ X4 @ X4 ) ) ),
define([status(thm)]) ).
thf(a1,axiom,
mreflexive @ rel_s5 ).
thf(zf_stmt_0,axiom,
! [X4: $i] : ( rel_s5 @ X4 @ X4 ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: $i] : ( rel_s5 @ Y0 @ Y0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13,plain,
! [X2: $i] : ( rel_s5 @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(mdia_s5,axiom,
( mdia_s5
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_s5 @ ( mnot @ Phi ) ) ) ) ) ).
thf(mbox_s5,axiom,
( mbox_s5
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_s5 @ W @ V ) ) ) ) ).
thf('2',plain,
( mbox_s5
= ( ^ [Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( rel_s5 @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_s5]) ).
thf('3',plain,
( mbox_s5
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( V_1 @ X4 )
| ~ ( rel_s5 @ V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('4',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('5',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('6',plain,
( mdia_s5
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_s5 @ ( mnot @ Phi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia_s5,'3','5']) ).
thf('7',plain,
( mdia_s5
= ( ^ [V_1: $i > $o] : ( mnot @ ( mbox_s5 @ ( mnot @ V_1 ) ) ) ) ),
define([status(thm)]) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('8',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('9',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mexists_ind,axiom,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ) ).
thf(mforall_ind,axiom,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ) ).
thf('10',plain,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_ind]) ).
thf('11',plain,
( mforall_ind
= ( ^ [V_1: mu > $i > $o,V_2: $i] :
! [X4: mu] : ( V_1 @ X4 @ V_2 ) ) ),
define([status(thm)]) ).
thf('12',plain,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mexists_ind,'11','5']) ).
thf('13',plain,
( mexists_ind
= ( ^ [V_1: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [V_2: mu] : ( mnot @ ( V_1 @ V_2 ) ) ) ) ) ),
define([status(thm)]) ).
thf(meq_ind,axiom,
( meq_ind
= ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ) ).
thf('14',plain,
( meq_ind
= ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ),
inference(simplify_rw_rule,[status(thm)],[meq_ind]) ).
thf('15',plain,
( meq_ind
= ( ^ [V_1: mu,V_2: mu,V_3: $i] : ( V_1 = V_2 ) ) ),
define([status(thm)]) ).
thf(prove,conjecture,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mdia_s5
@ ( mexists_ind
@ ^ [Y: mu] : ( meq_ind @ X @ Y ) ) ) ) ) ).
thf(zf_stmt_1,conjecture,
! [X4: $i,X6: mu] :
~ ! [X8: $i] :
( ~ ( rel_s5 @ X4 @ X8 )
| ! [X10: mu] : ( X6 != X10 ) ) ).
thf(zf_stmt_2,negated_conjecture,
~ ! [X4: $i,X6: mu] :
~ ! [X8: $i] :
( ~ ( rel_s5 @ X4 @ X8 )
| ! [X10: mu] : ( X6 != X10 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: mu] :
( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( rel_s5 @ Y0 @ Y2 ) )
| ( !!
@ ^ [Y3: mu] : ( Y1 != Y3 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl6,plain,
~ ( !!
@ ^ [Y0: mu] :
( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( rel_s5 @ '#sk1' @ Y1 ) )
| ( !!
@ ^ [Y2: mu] : ( Y0 != Y2 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( rel_s5 @ '#sk1' @ Y0 ) )
| ( !!
@ ^ [Y1: mu] : ( '#sk2' != Y1 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
! [X2: $i] :
( ( (~) @ ( rel_s5 @ '#sk1' @ X2 ) )
| ( !!
@ ^ [Y0: mu] : ( '#sk2' != Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9,plain,
! [X2: $i] :
( ~ ( rel_s5 @ '#sk1' @ X2 )
| ( !!
@ ^ [Y0: mu] : ( '#sk2' != Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: mu] :
( ( '#sk2' != X4 )
| ~ ( rel_s5 @ '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
! [X2: $i,X4: mu] :
( ( '#sk2' != X4 )
| ~ ( rel_s5 @ '#sk1' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
~ ( rel_s5 @ '#sk1' @ X2 ),
inference(simplify,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl14,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO485^6 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pntoYpSMAo true
% 0.14/0.36 % Computer : n014.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 06:46:02 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
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in HO mode
% 0.22/0.69 % Total configuration time : 828
% 0.22/0.69 % Estimated wc time : 1656
% 0.22/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.79 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.22/0.79 % Solved by lams/15_e_short1.sh.
% 0.22/0.79 % done 1 iterations in 0.014s
% 0.22/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.79 % SZS output start Refutation
% See solution above
% 0.22/0.79
% 0.22/0.79
% 0.22/0.79 % Terminating...
% 1.45/0.87 % Runner terminated.
% 1.45/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------