TSTP Solution File: SYN978^4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN978^4 : 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.G37GZigLCk true
% Computer : n019.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 04:06:28 EDT 2023
% Result : Theorem 1.35s 0.81s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 40
% Syntax : Number of formulae : 72 ( 38 unt; 17 typ; 0 def)
% Number of atoms : 164 ( 30 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 258 ( 30 ~; 23 |; 8 &; 181 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 93 ( 93 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 5 con; 0-3 aty)
% Number of variables : 93 ( 60 ^; 33 !; 0 ?; 93 :)
% Comments :
%------------------------------------------------------------------------------
thf(iatom_type,type,
iatom: ( $i > $o ) > $i > $o ).
thf(ivalid_type,type,
ivalid: ( $i > $o ) > $o ).
thf(b_type,type,
b: $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
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(sk__6_type,type,
sk__6: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(mbox_s4_type,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(iimplies_type,type,
iimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(a_type,type,
a: $i > $o ).
thf(iand_type,type,
iand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(iequiv_type,type,
iequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
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(iequiv,axiom,
( iequiv
= ( ^ [P: $i > $o,Q: $i > $o] : ( iand @ ( iimplies @ P @ Q ) @ ( iimplies @ Q @ P ) ) ) ) ).
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('2',plain,
( mbox_s4
= ( ^ [P: $i > $o,X: $i] :
! [Y: $i] :
( ( irel @ X @ Y )
=> ( P @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_s4]) ).
thf('3',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('4',plain,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
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
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ) ).
thf('6',plain,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
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
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
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('10',plain,
( iimplies
= ( ^ [P: $i > $o,Q: $i > $o] : ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[iimplies,'3','9']) ).
thf('11',plain,
( iimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mimplies @ ( mbox_s4 @ V_1 ) @ ( mbox_s4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(iand,axiom,
( iand
= ( ^ [P: $i > $o,Q: $i > $o] : ( mand @ P @ Q ) ) ) ).
thf(mand,axiom,
( mand
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ) ).
thf('12',plain,
( mand
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand]) ).
thf('13',plain,
( mand
= ( ^ [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,
( iand
= ( ^ [P: $i > $o,Q: $i > $o] : ( mand @ P @ Q ) ) ),
inference(simplify_rw_rule,[status(thm)],[iand,'13']) ).
thf('15',plain,
( iand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mand @ V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('16',plain,
( iequiv
= ( ^ [P: $i > $o,Q: $i > $o] : ( iand @ ( iimplies @ P @ Q ) @ ( iimplies @ Q @ P ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[iequiv,'11','15','3','9','13','5','7']) ).
thf('17',plain,
( iequiv
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( iand @ ( iimplies @ V_1 @ V_2 ) @ ( iimplies @ V_2 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(iatom,axiom,
( iatom
= ( ^ [P: $i > $o] : P ) ) ).
thf('18',plain,
( iatom
= ( ^ [P: $i > $o] : P ) ),
inference(simplify_rw_rule,[status(thm)],[iatom]) ).
thf('19',plain,
( iatom
= ( ^ [V_1: $i > $o] : V_1 ) ),
define([status(thm)]) ).
thf(prove_this,conjecture,
ivalid @ ( iimplies @ ( iand @ ( iatom @ a ) @ ( iatom @ b ) ) @ ( iequiv @ ( iatom @ a ) @ ( iatom @ b ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( ( a @ X6 )
& ( b @ X6 ) ) )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ( ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( a @ X10 ) )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( b @ X12 ) ) )
& ( ~ ! [X14: $i] :
( ( irel @ X8 @ X14 )
=> ( b @ X14 ) )
| ! [X16: $i] :
( ( irel @ X8 @ X16 )
=> ( a @ X16 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( ( a @ X6 )
& ( b @ X6 ) ) )
| ! [X8: $i] :
( ( irel @ X4 @ X8 )
=> ( ( ~ ! [X10: $i] :
( ( irel @ X8 @ X10 )
=> ( a @ X10 ) )
| ! [X12: $i] :
( ( irel @ X8 @ X12 )
=> ( b @ X12 ) ) )
& ( ~ ! [X14: $i] :
( ( irel @ X8 @ X14 )
=> ( b @ X14 ) )
| ! [X16: $i] :
( ( irel @ X8 @ X16 )
=> ( a @ X16 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
irel @ sk__5 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(trans_axiom,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( irel @ X @ Y )
& ( irel @ Y @ Z ) )
=> ( irel @ X @ Z ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( irel @ X0 @ X1 )
| ~ ( irel @ X1 @ X2 )
| ( irel @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[trans_axiom]) ).
thf(zip_derived_cl23,plain,
! [X0: $i] :
( ( irel @ sk__5 @ X0 )
| ~ ( irel @ sk__6 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
( ( a @ X2 )
| ~ ( irel @ sk__5 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ~ ( irel @ sk__6 @ X0 )
| ( a @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl12]) ).
thf(zip_derived_cl23_001,plain,
! [X0: $i] :
( ( irel @ sk__5 @ X0 )
| ~ ( irel @ sk__6 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl13,plain,
! [X2: $i] :
( ( b @ X2 )
| ~ ( irel @ sk__5 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl46,plain,
! [X0: $i] :
( ~ ( irel @ sk__6 @ X0 )
| ( b @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl13]) ).
thf(zip_derived_cl10,plain,
( ~ ( b @ sk__7 )
| ~ ( a @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl56,plain,
( ~ ( irel @ sk__6 @ sk__7 )
| ~ ( a @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl10]) ).
thf(zip_derived_cl7,plain,
( ( irel @ sk__6 @ sk__7 )
| ~ ( a @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl62,plain,
~ ( a @ sk__8 ),
inference(clc,[status(thm)],[zip_derived_cl56,zip_derived_cl7]) ).
thf(zip_derived_cl65,plain,
~ ( irel @ sk__6 @ sk__8 ),
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl62]) ).
thf(zip_derived_cl6,plain,
( ( irel @ sk__6 @ sk__7 )
| ( irel @ sk__6 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl46_002,plain,
! [X0: $i] :
( ~ ( irel @ sk__6 @ X0 )
| ( b @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl13]) ).
thf(zip_derived_cl9,plain,
( ~ ( b @ sk__7 )
| ( irel @ sk__6 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl65_003,plain,
~ ( irel @ sk__6 @ sk__8 ),
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl62]) ).
thf(zip_derived_cl67,plain,
~ ( b @ sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl65]) ).
thf(zip_derived_cl70,plain,
~ ( irel @ sk__6 @ sk__7 ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl67]) ).
thf(zip_derived_cl72,plain,
irel @ sk__6 @ sk__8,
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl70]) ).
thf(zip_derived_cl73,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN978^4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.G37GZigLCk true
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 17:26:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.22/0.67 % Total configuration time : 828
% 0.22/0.67 % Estimated wc time : 1656
% 0.22/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.35/0.81 % Solved by lams/40_c.s.sh.
% 1.35/0.81 % done 36 iterations in 0.026s
% 1.35/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.35/0.81 % SZS output start Refutation
% See solution above
% 1.35/0.81
% 1.35/0.81
% 1.35/0.81 % Terminating...
% 1.35/0.86 % Runner terminated.
% 1.35/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------