TSTP Solution File: PUZ085^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ085^1 : 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.m7gp5ZbHkX true
% Computer : n002.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 : Thu Aug 31 13:31:06 EDT 2023
% Result : Theorem 1.47s 0.81s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 31
% Syntax : Number of formulae : 62 ( 24 unt; 13 typ; 0 def)
% Number of atoms : 218 ( 21 equ; 20 cnn)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 408 ( 48 ~; 39 |; 9 &; 281 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 87 ( 87 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 13 usr; 6 con; 0-3 aty)
% ( 23 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 112 ( 66 ^; 46 !; 0 ?; 112 :)
% Comments :
%------------------------------------------------------------------------------
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(peter_type,type,
peter: $i > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf('#sk2_type',type,
'#sk2': $i > $o ).
thf(mtransitive_type,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(wife_type,type,
wife: ( $i > $i > $o ) > $i > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mforall_prop_type,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mvalid,axiom,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ) ).
thf('0',plain,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('1',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ) ).
thf('2',plain,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox]) ).
thf('3',plain,
( mbox
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
! [X4: $i] :
( ( V_2 @ X4 )
| ~ ( V_1 @ V_3 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mforall_prop,axiom,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ) ).
thf('4',plain,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_prop]) ).
thf('5',plain,
( mforall_prop
= ( ^ [V_1: ( $i > $o ) > $i > $o,V_2: $i] :
! [X4: $i > $o] : ( V_1 @ X4 @ 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('6',plain,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
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
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('8',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
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
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
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(conj,conjecture,
( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ ( wife @ peter ) @ A ) @ ( mbox @ ( wife @ peter ) @ ( mbox @ ( wife @ peter ) @ A ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i > $o] :
( ! [X10: $i] :
( ~ ( wife @ peter @ X4 @ X10 )
| ! [X12: $i] :
( ~ ( wife @ peter @ X10 @ X12 )
| ( X6 @ X12 ) ) )
| ~ ! [X8: $i] :
( ~ ( wife @ peter @ X4 @ X8 )
| ( X6 @ X8 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i > $o] :
( ! [X10: $i] :
( ~ ( wife @ peter @ X4 @ X10 )
| ! [X12: $i] :
( ~ ( wife @ peter @ X10 @ X12 )
| ( X6 @ X12 ) ) )
| ~ ! [X8: $i] :
( ~ ( wife @ peter @ X4 @ X8 )
| ( X6 @ X8 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( wife @ peter @ Y0 @ Y2 ) )
| ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( wife @ peter @ Y2 @ Y3 ) )
| ( Y1 @ Y3 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( wife @ peter @ Y0 @ Y2 ) )
| ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl49,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( wife @ peter @ '#sk1' @ Y1 ) )
| ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( wife @ peter @ Y1 @ Y2 ) )
| ( Y0 @ Y2 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( wife @ peter @ '#sk1' @ Y1 ) )
| ( Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl50,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( wife @ peter @ '#sk1' @ Y0 ) )
| ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( wife @ peter @ Y0 @ Y1 ) )
| ( '#sk2' @ Y1 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( wife @ peter @ '#sk1' @ Y0 ) )
| ( '#sk2' @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl51,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( wife @ peter @ '#sk1' @ Y0 ) )
| ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( wife @ peter @ Y0 @ Y1 ) )
| ( '#sk2' @ Y1 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl53,plain,
~ ( ( (~) @ ( wife @ peter @ '#sk1' @ '#sk3' ) )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( wife @ peter @ '#sk3' @ Y0 ) )
| ( '#sk2' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl56,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( wife @ peter @ '#sk3' @ Y0 ) )
| ( '#sk2' @ Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl58,plain,
~ ( ( (~) @ ( wife @ peter @ '#sk3' @ '#sk4' ) )
| ( '#sk2' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl60,plain,
~ ( '#sk2' @ '#sk4' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl55,plain,
wife @ peter @ '#sk1' @ '#sk3',
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl59,plain,
wife @ peter @ '#sk3' @ '#sk4',
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl58]) ).
thf(mtransitive,axiom,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ) ).
thf('12',plain,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mtransitive]) ).
thf('13',plain,
( mtransitive
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X6 @ X8 ) )
=> ( V_1 @ X4 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(trans_wife_peter,axiom,
mtransitive @ ( wife @ peter ) ).
thf(zf_stmt_2,axiom,
! [X4: $i,X6: $i,X8: $i] :
( ( ( wife @ peter @ X6 @ X8 )
& ( wife @ peter @ X4 @ X6 ) )
=> ( wife @ peter @ X4 @ X8 ) ) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( wife @ peter @ Y1 @ Y2 )
& ( wife @ peter @ Y0 @ Y1 ) )
=> ( wife @ peter @ Y0 @ Y2 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl36,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( wife @ peter @ Y0 @ Y1 )
& ( wife @ peter @ X2 @ Y0 ) )
=> ( wife @ peter @ X2 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl37,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( wife @ peter @ X4 @ Y0 )
& ( wife @ peter @ X2 @ X4 ) )
=> ( wife @ peter @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl38,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( wife @ peter @ X4 @ X6 )
& ( wife @ peter @ X2 @ X4 ) )
=> ( wife @ peter @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl39,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( wife @ peter @ X4 @ X6 )
& ( wife @ peter @ X2 @ X4 ) )
| ( wife @ peter @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl40,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( wife @ peter @ X4 @ X6 )
| ~ ( wife @ peter @ X2 @ X4 )
| ( wife @ peter @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ( wife @ peter @ X0 @ '#sk4' )
| ~ ( wife @ peter @ X0 @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl40]) ).
thf(zip_derived_cl75,plain,
wife @ peter @ '#sk1' @ '#sk4',
inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl63]) ).
thf(zip_derived_cl52,plain,
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( wife @ peter @ '#sk1' @ Y0 ) )
| ( '#sk2' @ Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl54,plain,
! [X2: $i] :
( ( (~) @ ( wife @ peter @ '#sk1' @ X2 ) )
| ( '#sk2' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl57,plain,
! [X2: $i] :
( ~ ( wife @ peter @ '#sk1' @ X2 )
| ( '#sk2' @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl79,plain,
'#sk2' @ '#sk4',
inference('sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl57]) ).
thf(zip_derived_cl85,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : PUZ085^1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.m7gp5ZbHkX true
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 22:14:48 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.23/0.67 % Total configuration time : 828
% 0.23/0.67 % Estimated wc time : 1656
% 0.23/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.47/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.47/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.47/0.81 % Solved by lams/35_full_unif4.sh.
% 1.47/0.81 % done 24 iterations in 0.037s
% 1.47/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.47/0.81 % SZS output start Refutation
% See solution above
% 1.47/0.81
% 1.47/0.81
% 1.47/0.81 % Terminating...
% 1.67/0.88 % Runner terminated.
% 1.67/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------