TSTP Solution File: LCL714^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL714^1 : TPTP v8.1.2. Bugfixed v5.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Mvc9kX8Tjx true
% Computer : n018.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 09:01:42 EDT 2023
% Result : Theorem 0.60s 0.83s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 30
% Syntax : Number of formulae : 64 ( 33 unt; 12 typ; 0 def)
% Number of atoms : 182 ( 41 equ; 25 cnn)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 416 ( 56 ~; 47 |; 12 &; 251 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 113 ( 113 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 12 usr; 6 con; 0-3 aty)
% ( 34 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 143 ( 84 ^; 59 !; 0 ?; 143 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk3_type',type,
'#sk3': $i ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mdia_type,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mpartially_functional_type,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk6_type',type,
'#sk6': $i ).
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(mpartially_functional,axiom,
( mpartially_functional
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( T = U ) ) ) ) ).
thf('2',plain,
( mpartially_functional
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( T = U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mpartially_functional]) ).
thf('3',plain,
( mpartially_functional
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X4 @ X8 ) )
=> ( X6 = X8 ) ) ) ),
define([status(thm)]) ).
thf(mdia,axiom,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ) ).
thf(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ( Phi @ V )
| ~ ( R @ W @ V ) ) ) ) ).
thf('4',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('5',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(mnot,axiom,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ) ).
thf('6',plain,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
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,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia,'5','7']) ).
thf('9',plain,
( mdia
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o] : ( mnot @ ( mbox @ V_1 @ ( mnot @ V_2 ) ) ) ) ),
define([status(thm)]) ).
thf(mforall_prop,axiom,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ) ).
thf('10',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('11',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('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','7']) ).
thf('15',plain,
( mimplies
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(conj,conjecture,
! [R: $i > $i > $o] :
( ( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mdia @ R @ A ) @ ( mbox @ R @ A ) ) ) )
=> ( mpartially_functional @ R ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o] :
( ! [X6: $i,X8: $i > $o] :
( ! [X12: $i] :
( ~ ( X4 @ X6 @ X12 )
| ( X8 @ X12 ) )
| ! [X10: $i] :
( ~ ( X4 @ X6 @ X10 )
| ~ ( X8 @ X10 ) ) )
=> ! [X14: $i,X16: $i,X18: $i] :
( ( ( X4 @ X14 @ X18 )
& ( X4 @ X14 @ X16 ) )
=> ( X16 = X18 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o] :
( ! [X6: $i,X8: $i > $o] :
( ! [X12: $i] :
( ~ ( X4 @ X6 @ X12 )
| ( X8 @ X12 ) )
| ! [X10: $i] :
( ~ ( X4 @ X6 @ X10 )
| ~ ( X8 @ X10 ) ) )
=> ! [X14: $i,X16: $i,X18: $i] :
( ( ( X4 @ X14 @ X18 )
& ( X4 @ X14 @ X16 ) )
=> ( X16 = X18 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( Y0 @ Y1 @ Y3 ) )
| ( Y2 @ Y3 ) ) )
| ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( Y0 @ Y1 @ Y3 ) )
| ( (~) @ ( Y2 @ Y3 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y2 = Y3 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( '#sk1' @ Y0 @ Y2 ) )
| ( Y1 @ Y2 ) ) )
| ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( '#sk1' @ Y0 @ Y2 ) )
| ( (~) @ ( Y1 @ Y2 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( Y1 = Y2 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y0 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( Y1 = Y2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ '#sk2' @ Y1 )
& ( '#sk1' @ '#sk2' @ Y0 ) )
=> ( Y0 = Y1 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ '#sk2' @ Y0 )
& ( '#sk1' @ '#sk2' @ '#sk3' ) )
=> ( '#sk3' = Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
~ ( ( ( '#sk1' @ '#sk2' @ '#sk6' )
& ( '#sk1' @ '#sk2' @ '#sk3' ) )
=> ( '#sk3' = '#sk6' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl11,plain,
( ( '#sk1' @ '#sk2' @ '#sk6' )
& ( '#sk1' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
'#sk1' @ '#sk2' @ '#sk3',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl14,plain,
'#sk1' @ '#sk2' @ '#sk6',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( '#sk1' @ Y0 @ Y2 ) )
| ( Y1 @ Y2 ) ) )
| ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( '#sk1' @ Y0 @ Y2 ) )
| ( (~) @ ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( '#sk1' @ X2 @ Y1 ) )
| ( Y0 @ Y1 ) ) )
| ( !!
@ ^ [Y1: $i] :
( ( (~) @ ( '#sk1' @ X2 @ Y1 ) )
| ( (~) @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
! [X2: $i,X4: $i > $o] :
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ X2 @ Y0 ) )
| ( X4 @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ X2 @ Y0 ) )
| ( (~) @ ( X4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
! [X2: $i,X4: $i > $o] :
( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ X2 @ Y0 ) )
| ( X4 @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ X2 @ Y0 ) )
| ( (~) @ ( X4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ( (~) @ ( '#sk1' @ X2 @ X6 ) )
| ( X4 @ X6 )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ X2 @ Y0 ) )
| ( (~) @ ( X4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl13,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ~ ( '#sk1' @ X2 @ X6 )
| ( X4 @ X6 )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( '#sk1' @ X2 @ Y0 ) )
| ( (~) @ ( X4 @ Y0 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl17,plain,
! [X2: $i,X4: $i > $o,X6: $i,X8: $i] :
( ( (~) @ ( '#sk1' @ X2 @ X8 ) )
| ( (~) @ ( X4 @ X8 ) )
| ( X4 @ X6 )
| ~ ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl18,plain,
! [X2: $i,X4: $i > $o,X6: $i,X8: $i] :
( ~ ( '#sk1' @ X2 @ X8 )
| ~ ( X4 @ X8 )
| ~ ( '#sk1' @ X2 @ X6 )
| ( X4 @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl19,plain,
! [X0: $i > $o,X1: $i] :
( ( X0 @ X1 )
| ~ ( '#sk1' @ '#sk2' @ X1 )
| ~ ( X0 @ '#sk6' ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl18]) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ~ ( '#sk1' @ '#sk2' @ X0 )
| ( ^ [Y0: $i] : ( Y0 = '#sk6' )
@ X0 ) ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl53,plain,
! [X0: $i] :
( ~ ( '#sk1' @ '#sk2' @ X0 )
| ( X0 = '#sk6' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl54,plain,
! [X0: $i] :
( ~ ( '#sk1' @ '#sk2' @ X0 )
| ( X0 = '#sk6' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl78,plain,
'#sk3' = '#sk6',
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl54]) ).
thf(zip_derived_cl12,plain,
'#sk3' != '#sk6',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl16,plain,
'#sk3' != '#sk6',
inference('simplify nested equalities',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl83,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl78,zip_derived_cl16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL714^1 : TPTP v8.1.2. Bugfixed v5.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Mvc9kX8Tjx true
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 19:27:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.21/0.67 % Total configuration time : 828
% 0.21/0.67 % Estimated wc time : 1656
% 0.21/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.55/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.60/0.83 % Solved by lams/35_full_unif4.sh.
% 0.60/0.83 % done 5 iterations in 0.033s
% 0.60/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.83 % SZS output start Refutation
% See solution above
% 0.60/0.83
% 0.60/0.83
% 0.60/0.83 % Terminating...
% 0.60/0.86 % Runner terminated.
% 0.60/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------