TSTP Solution File: SYO067^4.002 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO067^4.002 : 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.qNHDO2y4Sk true
% Computer : n007.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 33.58s 4.92s
% Output : Refutation 33.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 40
% Syntax : Number of formulae : 56 ( 34 unt; 14 typ; 0 def)
% Number of atoms : 179 ( 30 equ; 3 cnn)
% Maximal formula atoms : 31 ( 4 avg)
% Number of connectives : 252 ( 11 ~; 13 |; 7 &; 180 @)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 94 ( 94 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 14 usr; 3 con; 0-3 aty)
% ( 16 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 99 ( 76 ^; 23 !; 0 ?; 99 :)
% Comments :
%------------------------------------------------------------------------------
thf(iatom_type,type,
iatom: ( $i > $o ) > $i > $o ).
thf(p2_type,type,
p2: $i > $o ).
thf(ivalid_type,type,
ivalid: ( $i > $o ) > $o ).
thf(p1_type,type,
p1: $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(ior_type,type,
ior: ( $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(f_type,type,
f: $i > $o ).
thf(iand_type,type,
iand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $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(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 @ f ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] : ( f @ X4 ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] : ( f @ X4 ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: $i] : ( f @ Y0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(refl_axiom,axiom,
! [X: $i] : ( irel @ X @ X ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: $i] : ( irel @ Y0 @ Y0 ) ),
inference(cnf,[status(esa)],[refl_axiom]) ).
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(ior,axiom,
( ior
= ( ^ [P: $i > $o,Q: $i > $o] : ( mor @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ) ).
thf('14',plain,
( ior
= ( ^ [P: $i > $o,Q: $i > $o] : ( mor @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ior,'5','7']) ).
thf('15',plain,
( ior
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( 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('16',plain,
( mand
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand]) ).
thf('17',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('18',plain,
( iand
= ( ^ [P: $i > $o,Q: $i > $o] : ( mand @ P @ Q ) ) ),
inference(simplify_rw_rule,[status(thm)],[iand,'17']) ).
thf('19',plain,
( iand
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mand @ V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf(axiom1,axiom,
ivalid @ ( iimplies @ ( ior @ ( iand @ ( iatom @ p1 ) @ ( iatom @ p2 ) ) @ ( ior @ ( iimplies @ ( iatom @ p1 ) @ ( iatom @ f ) ) @ ( iimplies @ ( iatom @ p2 ) @ ( iatom @ f ) ) ) ) @ ( iatom @ f ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i] :
( ! [X24: $i] :
( ( irel @ X4 @ X24 )
=> ( f @ X24 ) )
| ~ ! [X6: $i] :
( ( irel @ X4 @ X6 )
=> ( ! [X10: $i] :
( ( irel @ X6 @ X10 )
=> ( ! [X18: $i] :
( ( irel @ X10 @ X18 )
=> ( ! [X22: $i] :
( ( irel @ X18 @ X22 )
=> ( f @ X22 ) )
| ~ ! [X20: $i] :
( ( irel @ X18 @ X20 )
=> ( p2 @ X20 ) ) ) )
| ! [X12: $i] :
( ( irel @ X10 @ X12 )
=> ( ! [X16: $i] :
( ( irel @ X12 @ X16 )
=> ( f @ X16 ) )
| ~ ! [X14: $i] :
( ( irel @ X12 @ X14 )
=> ( p1 @ X14 ) ) ) ) ) )
| ! [X8: $i] :
( ( irel @ X6 @ X8 )
=> ( ( p2 @ X8 )
& ( p1 @ X8 ) ) ) ) ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( !!
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( ( !!
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( f @ Y4 ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( p2 @ Y4 ) ) ) ) ) ) )
| ( !!
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( ( !!
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( f @ Y4 ) ) )
| ( (~)
@ ( !!
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( p1 @ Y4 ) ) ) ) ) ) ) ) ) )
| ( !!
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( p2 @ Y2 )
& ( p1 @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(trans_axiom,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( irel @ Y @ Z )
& ( irel @ X @ Y ) )
=> ( irel @ X @ Z ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( irel @ Y1 @ Y2 )
& ( irel @ Y0 @ Y1 ) )
=> ( irel @ Y0 @ Y2 ) ) ) ) ),
inference(cnf,[status(esa)],[trans_axiom]) ).
thf(zip_derived_cl2534,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl3,zip_derived_cl0,zip_derived_cl2,zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO067^4.002 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qNHDO2y4Sk true
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 04:10:56 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
% 0.14/0.35 % 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
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.36/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.54/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 33.58/4.92 % Solved by lams/15_e_short1.sh.
% 33.58/4.92 % done 536 iterations in 4.133s
% 33.58/4.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 33.58/4.92 % SZS output start Refutation
% See solution above
% 33.58/4.92
% 33.58/4.92
% 33.58/4.92 % Terminating...
% 33.79/4.99 % Runner terminated.
% 33.79/5.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------