TSTP Solution File: SYO068^4.001 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO068^4.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xlBEp2FnkA true
% Computer : n012.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 05:49:32 EDT 2023
% Result : Theorem 0.21s 0.76s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 38
% Syntax : Number of formulae : 57 ( 32 unt; 15 typ; 0 def)
% Number of atoms : 113 ( 21 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 158 ( 17 ~; 15 |; 0 &; 115 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 66 ( 66 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 77 ( 39 ^; 38 !; 0 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
thf(iatom_type,type,
iatom: ( $i > $o ) > $i > $o ).
thf(sk__6_type,type,
sk__6: $i > $i ).
thf(ivalid_type,type,
ivalid: ( $i > $o ) > $o ).
thf(p1_type,type,
p1: $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(irel_type,type,
irel: $i > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mbox_s4_type,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(iimplies_type,type,
iimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(p0_type,type,
p0: $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(ivalid,axiom,
( ivalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('0',plain,
( ivalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[ivalid]) ).
thf('1',plain,
( ivalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(iatom,axiom,
( iatom
= ( ^ [P: $i > $o] : P ) ) ).
thf('2',plain,
( iatom
= ( ^ [P: $i > $o] : P ) ),
inference(simplify_rw_rule,[status(thm)],[iatom]) ).
thf('3',plain,
( iatom
= ( ^ [V_1: $i > $o] : V_1 ) ),
define([status(thm)]) ).
thf(con,conjecture,
ivalid @ ( iatom @ p0 ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] : ( p0 @ X4 ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] : ( p0 @ X4 ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
~ ( p0 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(iimplies,axiom,
( iimplies
= ( ^ [P: $i > $o,Q: $i > $o] : ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ) ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [P: $i > $o,X: $i] :
! [Y: $i] :
( ( irel @ X @ Y )
=> ( P @ Y ) ) ) ) ).
thf('4',plain,
( mbox_s4
= ( ^ [P: $i > $o,X: $i] :
! [Y: $i] :
( ( irel @ X @ Y )
=> ( P @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_s4]) ).
thf('5',plain,
( mbox_s4
= ( ^ [V_1: $i > $o,V_2: $i] :
! [X4: $i] :
( ( irel @ V_2 @ X4 )
=> ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ) ).
thf('6',plain,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('7',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
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ) ).
thf('8',plain,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('9',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('10',plain,
( mimplies
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies,'7','9']) ).
thf('11',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf('12',plain,
( iimplies
= ( ^ [P: $i > $o,Q: $i > $o] : ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[iimplies,'5','11']) ).
thf('13',plain,
( iimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mimplies @ ( mbox_s4 @ V_1 ) @ ( mbox_s4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(axiom2,axiom,
ivalid @ ( iimplies @ ( iatom @ p1 ) @ ( iimplies @ ( iatom @ p1 ) @ ( iatom @ p0 ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i] :
( ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p0 @ X12 ) )
| ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( p1 @ X10 ) ) ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( p1 @ X6 ) ) ) ).
thf(zf_stmt_3,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [X10: $i,X8: $i] :
( ( ( irel @ X8 @ X10 )
=> ( p1 @ X10 ) )
=> ( zip_tseitin_0 @ X10 @ X8 ) ) ).
thf(zf_stmt_5,axiom,
! [X4: $i] :
( ~ ! [X6: $i] : ( zip_tseitin_0 @ X6 @ X4 )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ~ ! [X10: $i] : ( zip_tseitin_0 @ X10 @ X8 )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( p0 @ X12 ) ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_0 @ ( sk__5 @ X0 ) @ X0 )
| ~ ( irel @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ ( sk__6 @ X1 ) @ X1 )
| ( p0 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ~ ( p1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(axiom1,axiom,
ivalid @ ( iatom @ p1 ) ).
thf(zf_stmt_6,axiom,
! [X4: $i] : ( p1 @ X4 ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] : ( p1 @ X0 ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_0 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).
thf(zip_derived_cl7_001,plain,
! [X0: $i,X1: $i] : ( zip_tseitin_0 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ( p0 @ X2 )
| ~ ( irel @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl7,zip_derived_cl7]) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ~ ( irel @ X0 @ X0 )
| ( p0 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl16]) ).
thf(refl_axiom,axiom,
! [X: $i] : ( irel @ X @ X ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(cnf,[status(esa)],[refl_axiom]) ).
thf(zip_derived_cl21,plain,
! [X0: $i] : ( p0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl0]) ).
thf(zip_derived_cl23,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO068^4.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xlBEp2FnkA true
% 0.14/0.35 % Computer : n012.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 07:18:41 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
% 0.21/0.65 % Total configuration time : 828
% 0.21/0.65 % Estimated wc time : 1656
% 0.21/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.73 % /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
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76 % Solved by lams/40_c.s.sh.
% 0.21/0.76 % done 7 iterations in 0.016s
% 0.21/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.76 % SZS output start Refutation
% See solution above
% 0.21/0.76
% 0.21/0.76
% 0.21/0.76 % Terminating...
% 0.21/0.85 % Runner terminated.
% 0.21/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------