TSTP Solution File: LCL601^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL601^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ksC9shFzUQ true
% Computer : n010.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 09:00:21 EDT 2023
% Result : Theorem 49.48s 6.97s
% Output : Refutation 49.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 21
% Syntax : Number of formulae : 67 ( 25 unt; 7 typ; 0 def)
% Number of atoms : 194 ( 50 equ; 6 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1171 ( 97 ~; 153 |; 37 &; 708 @)
% ( 3 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 244 ( 244 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 7 usr; 3 con; 0-3 aty)
% ( 107 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 417 ( 147 ^; 270 !; 0 ?; 417 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk39_type',type,
'#sk39': ( $i > $i > $o ) > ( $i > $o ) > $i > $i ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(transitive_type,type,
transitive: ( $i > $i > $o ) > $o ).
thf(mimpl_type,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(transitive,axiom,
( transitive
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ Z ) )
=> ( R @ X @ Z ) ) ) ) ).
thf('0',plain,
( transitive
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ Z ) )
=> ( R @ X @ Z ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[transitive]) ).
thf('1',plain,
( transitive
= ( ^ [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(mvalid,axiom,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ) ).
thf('2',plain,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('3',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ) ).
thf('4',plain,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ),
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_1 @ V_3 @ X4 )
=> ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mimpl,axiom,
( mimpl
= ( ^ [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,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimpl,'7','9']) ).
thf('11',plain,
( mimpl
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
( ! [R: $i > $i > $o,A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ R @ A ) @ ( mbox @ R @ ( mbox @ R @ A ) ) ) )
<=> ! [R: $i > $i > $o] : ( transitive @ R ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i > $i > $o,X6: $i > $o,X8: $i] :
( ! [X12: $i] :
( ( X4 @ X8 @ X12 )
=> ! [X14: $i] :
( ( X4 @ X12 @ X14 )
=> ( X6 @ X14 ) ) )
| ~ ! [X10: $i] :
( ( X4 @ X8 @ X10 )
=> ( X6 @ X10 ) ) )
<=> ! [X16: $i > $i > $o,X18: $i,X20: $i,X22: $i] :
( ( ( X16 @ X20 @ X22 )
& ( X16 @ X18 @ X20 ) )
=> ( X16 @ X18 @ X22 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i > $i > $o,X6: $i > $o,X8: $i] :
( ! [X12: $i] :
( ( X4 @ X8 @ X12 )
=> ! [X14: $i] :
( ( X4 @ X12 @ X14 )
=> ( X6 @ X14 ) ) )
| ~ ! [X10: $i] :
( ( X4 @ X8 @ X10 )
=> ( X6 @ X10 ) ) )
<=> ! [X16: $i > $i > $o,X18: $i,X20: $i,X22: $i] :
( ( ( X16 @ X20 @ X22 )
& ( X16 @ X18 @ X20 ) )
=> ( X16 @ X18 @ X22 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
( ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( !!
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( !!
@ ^ [Y4: $i] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y1 @ Y4 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) )
!= ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
( ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( !!
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( !!
@ ^ [Y4: $i] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y1 @ Y4 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) )
| ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i > $i > $o] :
( ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( X2 @ Y1 @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( ( X2 @ Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( X2 @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) )
| ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
! [X2: $i > $i > $o,X4: $i > $o] :
( ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( X2 @ Y0 @ Y1 )
=> ( !!
@ ^ [Y2: $i] :
( ( X2 @ Y1 @ Y2 )
=> ( X4 @ Y2 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( X2 @ Y0 @ Y1 )
=> ( X4 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( X2 @ X6 @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( X2 @ Y0 @ Y1 )
=> ( X4 @ Y1 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( X2 @ X6 @ Y0 )
=> ( X4 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( X2 @ X6 @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( ( X2 @ Y0 @ Y1 )
=> ( X4 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( X2 @ X6 @ Y0 )
=> ( X4 @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl7,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i,X8: $i] :
( ( ( X2 @ X6 @ X8 )
=> ( !!
@ ^ [Y0: $i] :
( ( X2 @ X8 @ Y0 )
=> ( X4 @ Y0 ) ) ) )
| ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( X2 @ X6 @ Y0 )
=> ( X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i,X8: $i] :
( ~ ( X2 @ X6 @ X8 )
| ( !!
@ ^ [Y0: $i] :
( ( X2 @ X8 @ Y0 )
=> ( X4 @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( X2 @ X6 @ Y0 )
=> ( X4 @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i,X8: $i,X10: $i] :
( ( ( X2 @ X8 @ X10 )
=> ( X4 @ X10 ) )
| ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( ( X2 @ X6 @ Y0 )
=> ( X4 @ Y0 ) ) )
| ~ ( X2 @ X6 @ X8 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i,X8: $i,X10: $i] :
( ~ ( X2 @ X8 @ X10 )
| ( X4 @ X10 )
| ~ ( X2 @ X6 @ X8 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( X2 @ X6 @ Y0 )
=> ( X4 @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl11,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i,X8: $i,X10: $i] :
( ~ ( ( X2 @ X6 @ ( '#sk39' @ X2 @ X4 @ X6 ) )
=> ( X4 @ ( '#sk39' @ X2 @ X4 @ X6 ) ) )
| ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
| ~ ( X2 @ X6 @ X8 )
| ( X4 @ X10 )
| ~ ( X2 @ X8 @ X10 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl13,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i,X8: $i,X10: $i] :
( ~ ( X4 @ ( '#sk39' @ X2 @ X4 @ X6 ) )
| ~ ( X2 @ X8 @ X10 )
| ( X4 @ X10 )
| ~ ( X2 @ X6 @ X8 )
| ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl15,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i,X8: $i,X10: $i,X12: $i > $i > $o] :
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( X12 @ Y1 @ Y2 )
& ( X12 @ Y0 @ Y1 ) )
=> ( X12 @ Y0 @ Y2 ) ) ) ) )
| ~ ( X2 @ X6 @ X8 )
| ( X4 @ X10 )
| ~ ( X2 @ X8 @ X10 )
| ~ ( X4 @ ( '#sk39' @ X2 @ X4 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl17,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i,X8: $i,X10: $i,X12: $i > $i > $o,X14: $i] :
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( X12 @ Y0 @ Y1 )
& ( X12 @ X14 @ Y0 ) )
=> ( X12 @ X14 @ Y1 ) ) ) )
| ~ ( X4 @ ( '#sk39' @ X2 @ X4 @ X6 ) )
| ~ ( X2 @ X8 @ X10 )
| ( X4 @ X10 )
| ~ ( X2 @ X6 @ X8 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl19,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i,X8: $i,X10: $i,X12: $i > $i > $o,X14: $i,X16: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( ( X12 @ X16 @ Y0 )
& ( X12 @ X14 @ X16 ) )
=> ( X12 @ X14 @ Y0 ) ) )
| ~ ( X2 @ X6 @ X8 )
| ( X4 @ X10 )
| ~ ( X2 @ X8 @ X10 )
| ~ ( X4 @ ( '#sk39' @ X2 @ X4 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl21,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i,X8: $i,X10: $i,X12: $i > $i > $o,X14: $i,X16: $i,X18: $i] :
( ( ( ( X12 @ X16 @ X18 )
& ( X12 @ X14 @ X16 ) )
=> ( X12 @ X14 @ X18 ) )
| ~ ( X4 @ ( '#sk39' @ X2 @ X4 @ X6 ) )
| ~ ( X2 @ X8 @ X10 )
| ( X4 @ X10 )
| ~ ( X2 @ X6 @ X8 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl23,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i,X8: $i,X10: $i,X12: $i > $i > $o,X14: $i,X16: $i,X18: $i] :
( ~ ( ( X12 @ X16 @ X18 )
& ( X12 @ X14 @ X16 ) )
| ( X12 @ X14 @ X18 )
| ~ ( X2 @ X6 @ X8 )
| ( X4 @ X10 )
| ~ ( X2 @ X8 @ X10 )
| ~ ( X4 @ ( '#sk39' @ X2 @ X4 @ X6 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl25,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i,X8: $i,X10: $i,X12: $i > $i > $o,X14: $i,X16: $i,X18: $i] :
( ~ ( X12 @ X16 @ X18 )
| ~ ( X12 @ X14 @ X16 )
| ~ ( X4 @ ( '#sk39' @ X2 @ X4 @ X6 ) )
| ~ ( X2 @ X8 @ X10 )
| ( X4 @ X10 )
| ~ ( X2 @ X6 @ X8 )
| ( X12 @ X14 @ X18 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl162,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i > $o,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( X0 @ X2 @ X1 )
| ( X3 @ X4 )
| ~ ( X0 @ X1 @ X4 )
| ~ ( X3 @ ( '#sk39' @ X0 @ X3 @ X2 ) )
| ( ^ [Y0: $i,Y1: $i] :
( ( ( Y0 = X7 )
& ( Y1 = X6 ) )
| ( ( Y0 = X6 )
& ( Y1 = X5 ) ) )
@ X7
@ X5 ) ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl213,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i > $o,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( X0 @ X2 @ X1 )
| ( X3 @ X4 )
| ~ ( X0 @ X1 @ X4 )
| ~ ( X3 @ ( '#sk39' @ X0 @ X3 @ X2 ) )
| ( ( X7 = X7 )
& ( X5 = X6 ) )
| ( ( X7 = X6 )
& ( X5 = X5 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl162]) ).
thf(zip_derived_cl214,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i > $o,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( X0 @ X2 @ X1 )
| ( X3 @ X4 )
| ~ ( X0 @ X1 @ X4 )
| ~ ( X3 @ ( '#sk39' @ X0 @ X3 @ X2 ) )
| ( X5 = X6 )
| ( X7 = X6 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl213]) ).
thf(zip_derived_cl227,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i > $o,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X5 = X6 )
| ( X7 = X6 )
| ~ ( X3 @ ( '#sk39' @ X0 @ X3 @ X2 ) )
| ~ ( X0 @ X1 @ X4 )
| ( X3 @ X4 )
| ~ ( X0 @ X2 @ X1 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl214]) ).
thf(zip_derived_cl228,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i > $o,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X5 = X6 )
| ( X7 = X6 )
| ~ ( X3 @ ( '#sk39' @ X0 @ X3 @ X2 ) )
| ~ ( X0 @ X1 @ X4 )
| ( X3 @ X4 )
| ~ ( X0 @ X2 @ X1 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl227]) ).
thf(zip_derived_cl229,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i > $o,X6: $i] :
( ~ ( X0 @ X2 @ X1 )
| ( X3 = X4 )
| ~ ( X5 @ ( '#sk39' @ X0 @ X5 @ X2 ) )
| ~ ( X0 @ X1 @ X6 )
| ( X5 @ X6 ) ),
inference(condensation,[status(thm)],[zip_derived_cl228]) ).
thf(zip_derived_cl12,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i,X8: $i,X10: $i] :
( ( X2 @ X6 @ ( '#sk39' @ X2 @ X4 @ X6 ) )
| ~ ( X2 @ X8 @ X10 )
| ( X4 @ X10 )
| ~ ( X2 @ X6 @ X8 )
| ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl14,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i,X8: $i,X10: $i,X12: $i > $i > $o] :
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( X12 @ Y1 @ Y2 )
& ( X12 @ Y0 @ Y1 ) )
=> ( X12 @ Y0 @ Y2 ) ) ) ) )
| ~ ( X2 @ X6 @ X8 )
| ( X4 @ X10 )
| ~ ( X2 @ X8 @ X10 )
| ( X2 @ X6 @ ( '#sk39' @ X2 @ X4 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl16,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i,X8: $i,X10: $i,X12: $i > $i > $o,X14: $i] :
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( X12 @ Y0 @ Y1 )
& ( X12 @ X14 @ Y0 ) )
=> ( X12 @ X14 @ Y1 ) ) ) )
| ( X2 @ X6 @ ( '#sk39' @ X2 @ X4 @ X6 ) )
| ~ ( X2 @ X8 @ X10 )
| ( X4 @ X10 )
| ~ ( X2 @ X6 @ X8 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl18,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i,X8: $i,X10: $i,X12: $i > $i > $o,X14: $i,X16: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( ( X12 @ X16 @ Y0 )
& ( X12 @ X14 @ X16 ) )
=> ( X12 @ X14 @ Y0 ) ) )
| ~ ( X2 @ X6 @ X8 )
| ( X4 @ X10 )
| ~ ( X2 @ X8 @ X10 )
| ( X2 @ X6 @ ( '#sk39' @ X2 @ X4 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl20,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i,X8: $i,X10: $i,X12: $i > $i > $o,X14: $i,X16: $i,X18: $i] :
( ( ( ( X12 @ X16 @ X18 )
& ( X12 @ X14 @ X16 ) )
=> ( X12 @ X14 @ X18 ) )
| ( X2 @ X6 @ ( '#sk39' @ X2 @ X4 @ X6 ) )
| ~ ( X2 @ X8 @ X10 )
| ( X4 @ X10 )
| ~ ( X2 @ X6 @ X8 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl22,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i,X8: $i,X10: $i,X12: $i > $i > $o,X14: $i,X16: $i,X18: $i] :
( ~ ( ( X12 @ X16 @ X18 )
& ( X12 @ X14 @ X16 ) )
| ( X12 @ X14 @ X18 )
| ~ ( X2 @ X6 @ X8 )
| ( X4 @ X10 )
| ~ ( X2 @ X8 @ X10 )
| ( X2 @ X6 @ ( '#sk39' @ X2 @ X4 @ X6 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl24,plain,
! [X2: $i > $i > $o,X4: $i > $o,X6: $i,X8: $i,X10: $i,X12: $i > $i > $o,X14: $i,X16: $i,X18: $i] :
( ~ ( X12 @ X16 @ X18 )
| ~ ( X12 @ X14 @ X16 )
| ( X2 @ X6 @ ( '#sk39' @ X2 @ X4 @ X6 ) )
| ~ ( X2 @ X8 @ X10 )
| ( X4 @ X10 )
| ~ ( X2 @ X6 @ X8 )
| ( X12 @ X14 @ X18 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl26,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i > $o,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( X0 @ X2 @ X1 )
| ( X3 @ X4 )
| ~ ( X0 @ X1 @ X4 )
| ( X0 @ X2 @ ( '#sk39' @ X0 @ X3 @ X2 ) )
| ( ^ [Y0: $i,Y1: $i] :
( ( ( Y0 = X7 )
& ( Y1 = X6 ) )
| ( ( Y0 = X6 )
& ( Y1 = X5 ) ) )
@ X7
@ X5 ) ),
inference(ho_elim_pred,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl81,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i > $o,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( X0 @ X2 @ X1 )
| ( X3 @ X4 )
| ~ ( X0 @ X1 @ X4 )
| ( X0 @ X2 @ ( '#sk39' @ X0 @ X3 @ X2 ) )
| ( ( X7 = X7 )
& ( X5 = X6 ) )
| ( ( X7 = X6 )
& ( X5 = X5 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl82,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i > $o,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( X0 @ X2 @ X1 )
| ( X3 @ X4 )
| ~ ( X0 @ X1 @ X4 )
| ( X0 @ X2 @ ( '#sk39' @ X0 @ X3 @ X2 ) )
| ( X5 = X6 )
| ( X7 = X6 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl95,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i > $o,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X5 = X6 )
| ( X7 = X6 )
| ( X0 @ X2 @ ( '#sk39' @ X0 @ X3 @ X2 ) )
| ~ ( X0 @ X1 @ X4 )
| ( X3 @ X4 )
| ~ ( X0 @ X2 @ X1 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl96,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i > $o,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X5 = X6 )
| ( X7 = X6 )
| ( X0 @ X2 @ ( '#sk39' @ X0 @ X3 @ X2 ) )
| ~ ( X0 @ X1 @ X4 )
| ( X3 @ X4 )
| ~ ( X0 @ X2 @ X1 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl95]) ).
thf(zip_derived_cl97,plain,
! [X0: $i > $i > $o,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i > $o,X6: $i] :
( ~ ( X0 @ X2 @ X1 )
| ( X3 = X4 )
| ( X0 @ X2 @ ( '#sk39' @ X0 @ X5 @ X2 ) )
| ~ ( X0 @ X1 @ X6 )
| ( X5 @ X6 ) ),
inference(condensation,[status(thm)],[zip_derived_cl96]) ).
thf(zip_derived_cl0_001,plain,
( ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( !!
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( !!
@ ^ [Y4: $i] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y1 @ Y4 ) ) ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ) ) ) )
!= ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9194,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl229,zip_derived_cl97,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LCL601^1 : TPTP v8.1.2. Released v3.6.0.
% 0.16/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ksC9shFzUQ true
% 0.16/0.37 % Computer : n010.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri Aug 25 05:28:35 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.23/0.38 % Running in HO mode
% 0.24/0.70 % Total configuration time : 828
% 0.24/0.70 % Estimated wc time : 1656
% 0.24/0.70 % Estimated cpu time (8 cpus) : 207.0
% 1.04/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.04/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.04/0.79 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.42/0.79 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.42/0.80 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.42/0.82 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.42/0.82 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.42/0.86 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.53/0.98 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 49.48/6.97 % Solved by lams/20_acsne_simpl.sh.
% 49.48/6.97 % done 293 iterations in 6.085s
% 49.48/6.97 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 49.48/6.97 % SZS output start Refutation
% See solution above
% 49.48/6.97
% 49.48/6.97
% 49.48/6.97 % Terminating...
% 49.48/7.11 % Runner terminated.
% 49.48/7.12 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------