TSTP Solution File: SYO497^6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO497^6 : 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.ps4YZxUjq1 true
% Computer : n020.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 05:51:42 EDT 2023
% Result : Theorem 0.25s 0.80s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 46
% Syntax : Number of formulae : 74 ( 43 unt; 18 typ; 0 def)
% Number of atoms : 174 ( 33 equ; 0 cnn)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 290 ( 43 ~; 35 |; 0 &; 208 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 98 ( 98 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 5 con; 0-3 aty)
% Number of variables : 115 ( 60 ^; 55 !; 0 ?; 115 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(sk__12_type,type,
sk__12: $i ).
thf(rel_s5_type,type,
rel_s5: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__11_type,type,
sk__11: mu ).
thf(mreflexive_type,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(f_type,type,
f: mu > $i > $o ).
thf(mdia_s5_type,type,
mdia_s5: ( $i > $o ) > $i > $o ).
thf(mbox_s5_type,type,
mbox_s5: ( $i > $o ) > $i > $o ).
thf(msymmetric_type,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mexists_ind_type,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(mforall_ind_type,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
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('0',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('1',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('2',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('3',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('4',plain,
( mdia_s5
= ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_s5 @ ( mnot @ Phi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia_s5,'1','3']) ).
thf('5',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('6',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('7',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('8',plain,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_ind]) ).
thf('9',plain,
( mforall_ind
= ( ^ [V_1: mu > $i > $o,V_2: $i] :
! [X4: mu] : ( V_1 @ X4 @ V_2 ) ) ),
define([status(thm)]) ).
thf('10',plain,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mexists_ind,'9','3']) ).
thf('11',plain,
( mexists_ind
= ( ^ [V_1: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [V_2: mu] : ( mnot @ ( V_1 @ V_2 ) ) ) ) ) ),
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('12',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('13',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('14',plain,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'13','3']) ).
thf('15',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('16',plain,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand,'13','3']) ).
thf('17',plain,
( mand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf(prove,conjecture,
( mvalid
@ ( mimplies
@ ( mand
@ ( mbox_s5
@ ( mforall_ind
@ ^ [X: mu] : ( mimplies @ ( f @ X ) @ ( mbox_s5 @ ( f @ X ) ) ) ) )
@ ( mdia_s5
@ ( mexists_ind
@ ^ [X: mu] : ( f @ X ) ) ) )
@ ( mbox_s5
@ ( mexists_ind
@ ^ [X: mu] : ( f @ X ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ! [X12: $i] :
( ! [X14: mu] :
~ ( f @ X14 @ X12 )
| ~ ( rel_s5 @ X4 @ X12 ) )
| ~ ! [X6: $i] :
( ! [X8: mu] :
( ~ ( f @ X8 @ X6 )
| ! [X10: $i] :
( ( f @ X8 @ X10 )
| ~ ( rel_s5 @ X6 @ X10 ) ) )
| ~ ( rel_s5 @ X4 @ X6 ) )
| ! [X16: $i] :
( ~ ! [X18: mu] :
~ ( f @ X18 @ X16 )
| ~ ( rel_s5 @ X4 @ X16 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ! [X12: $i] :
( ! [X14: mu] :
~ ( f @ X14 @ X12 )
| ~ ( rel_s5 @ X4 @ X12 ) )
| ~ ! [X6: $i] :
( ! [X8: mu] :
( ~ ( f @ X8 @ X6 )
| ! [X10: $i] :
( ( f @ X8 @ X10 )
| ~ ( rel_s5 @ X6 @ X10 ) ) )
| ~ ( rel_s5 @ X4 @ X6 ) )
| ! [X16: $i] :
( ~ ! [X18: mu] :
~ ( f @ X18 @ X16 )
| ~ ( rel_s5 @ X4 @ X16 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
f @ sk__11 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
rel_s5 @ sk__9 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(msymmetric,axiom,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ) ).
thf('18',plain,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[msymmetric]) ).
thf('19',plain,
( msymmetric
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ( V_1 @ X6 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(a3,axiom,
msymmetric @ rel_s5 ).
thf(zf_stmt_2,axiom,
! [X4: $i,X6: $i] :
( ( rel_s5 @ X4 @ X6 )
=> ( rel_s5 @ X6 @ X4 ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( rel_s5 @ X0 @ X1 )
| ~ ( rel_s5 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl5,plain,
! [X1: mu,X2: $i,X3: $i] :
( ( f @ X1 @ X2 )
| ~ ( rel_s5 @ X3 @ X2 )
| ~ ( f @ X1 @ X3 )
| ~ ( rel_s5 @ sk__9 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i,X2: mu] :
( ~ ( rel_s5 @ X0 @ X1 )
| ~ ( rel_s5 @ sk__9 @ X1 )
| ~ ( f @ X2 @ X1 )
| ( f @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl5]) ).
thf(zip_derived_cl179,plain,
! [X0: mu] :
( ( f @ X0 @ sk__9 )
| ~ ( f @ X0 @ sk__10 )
| ~ ( rel_s5 @ sk__9 @ sk__10 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl46]) ).
thf(zip_derived_cl4,plain,
rel_s5 @ sk__9 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5_001,plain,
! [X1: mu,X2: $i,X3: $i] :
( ( f @ X1 @ X2 )
| ~ ( rel_s5 @ X3 @ X2 )
| ~ ( f @ X1 @ X3 )
| ~ ( rel_s5 @ sk__9 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl44,plain,
! [X0: mu] :
( ~ ( rel_s5 @ sk__9 @ sk__9 )
| ~ ( f @ X0 @ sk__9 )
| ( f @ X0 @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl5]) ).
thf(mreflexive,axiom,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ) ).
thf('20',plain,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
inference(simplify_rw_rule,[status(thm)],[mreflexive]) ).
thf('21',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_3,axiom,
! [X4: $i] : ( rel_s5 @ X4 @ X4 ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] : ( rel_s5 @ X0 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl54,plain,
! [X0: mu] :
( ~ ( f @ X0 @ sk__9 )
| ( f @ X0 @ sk__12 ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X0: mu] :
~ ( f @ X0 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl59,plain,
! [X0: mu] :
~ ( f @ X0 @ sk__9 ),
inference(clc,[status(thm)],[zip_derived_cl54,zip_derived_cl3]) ).
thf(zip_derived_cl7_002,plain,
rel_s5 @ sk__9 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl193,plain,
! [X0: mu] :
~ ( f @ X0 @ sk__10 ),
inference(demod,[status(thm)],[zip_derived_cl179,zip_derived_cl59,zip_derived_cl7]) ).
thf(zip_derived_cl198,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : SYO497^6 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ps4YZxUjq1 true
% 0.17/0.38 % Computer : n020.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Sat Aug 26 05:00:00 EDT 2023
% 0.17/0.39 % CPUTime :
% 0.17/0.39 % Running portfolio for 300 s
% 0.17/0.39 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.39 % Number of cores: 8
% 0.17/0.39 % Python version: Python 3.6.8
% 0.17/0.39 % Running in HO mode
% 0.25/0.71 % Total configuration time : 828
% 0.25/0.71 % Estimated wc time : 1656
% 0.25/0.71 % Estimated cpu time (8 cpus) : 207.0
% 0.25/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.25/0.79 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.25/0.79 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.25/0.80 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.25/0.80 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.25/0.80 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.25/0.80 % Solved by lams/40_c.s.sh.
% 0.25/0.80 % done 69 iterations in 0.038s
% 0.25/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.25/0.80 % SZS output start Refutation
% See solution above
% 0.25/0.80
% 0.25/0.80
% 0.25/0.81 % Terminating...
% 0.94/0.89 % Runner terminated.
% 1.83/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------