TSTP Solution File: SEV021^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV021^5 : 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.ZAsgXlR2HV true
% Computer : n005.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 19:59:18 EDT 2023
% Result : Theorem 53.09s 7.48s
% Output : Refutation 53.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 70 ( 7 unt; 6 typ; 0 def)
% Number of atoms : 297 ( 22 equ; 0 cnn)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 768 ( 27 ~; 19 |; 128 &; 450 @)
% ( 9 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 115 ( 115 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 5 usr; 4 con; 0-2 aty)
% ( 52 !!; 25 ??; 0 @@+; 0 @@-)
% Number of variables : 231 ( 85 ^; 138 !; 8 ?; 231 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk44_type',type,
'#sk44': a > a > $o ).
thf('#sk66_type',type,
'#sk66': ( a > $o ) > a ).
thf('#_fresh_sk9_type',type,
'#_fresh_sk9': ( a > a > $o ) > a > $o ).
thf(cP_type,type,
cP: ( a > $o ) > $o ).
thf('#_fresh_sk272_type',type,
'#_fresh_sk272': ( a > a > $o ) > a > a ).
thf(cTHM262_D_EXT2_pme,conjecture,
( ! [Xq1: a > $o,Xq2: a > $o] :
( ( ( cP @ Xq1 )
& ( Xq1 = Xq2 ) )
=> ( cP @ Xq2 ) )
=> ( ( ! [Xx: a,Xy: a,Xp: a > $o,Xq: a > $o] :
( ( ( Xp @ Xy )
& ( Xq @ Xx )
& ( Xp @ Xx )
& ( cP @ Xq )
& ( cP @ Xp ) )
=> ( Xq @ Xy ) )
& ! [Xx: a] :
? [Xp: a > $o] :
( ( cP @ Xp )
& ( Xp @ Xx ) )
& ! [Xp: a > $o] :
( ( cP @ Xp )
=> ? [Xz: a] : ( Xp @ Xz ) ) )
=> ? [Q: a > a > $o] :
( ( ^ [Xs: a > $o] :
( ! [Xx: a] :
( ( Xs @ Xx )
=> ! [Xy: a] :
( ( Xs @ Xy )
<=> ( Q @ Xx @ Xy ) ) )
& ? [Xz: a] : ( Xs @ Xz ) ) )
= cP ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [Xq1: a > $o,Xq2: a > $o] :
( ( ( cP @ Xq1 )
& ( Xq1 = Xq2 ) )
=> ( cP @ Xq2 ) )
=> ( ( ! [Xx: a,Xy: a,Xp: a > $o,Xq: a > $o] :
( ( ( Xp @ Xy )
& ( Xq @ Xx )
& ( Xp @ Xx )
& ( cP @ Xq )
& ( cP @ Xp ) )
=> ( Xq @ Xy ) )
& ! [Xx: a] :
? [Xp: a > $o] :
( ( cP @ Xp )
& ( Xp @ Xx ) )
& ! [Xp: a > $o] :
( ( cP @ Xp )
=> ? [Xz: a] : ( Xp @ Xz ) ) )
=> ? [Q: a > a > $o] :
( ( ^ [Xs: a > $o] :
( ! [Xx: a] :
( ( Xs @ Xx )
=> ! [Xy: a] :
( ( Xs @ Xy )
<=> ( Q @ Xx @ Xy ) ) )
& ? [Xz: a] : ( Xs @ Xz ) ) )
= cP ) ) ),
inference('cnf.neg',[status(esa)],[cTHM262_D_EXT2_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( cP @ Y0 )
& ( Y0 = Y1 ) )
=> ( cP @ Y1 ) ) ) )
=> ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( !!
@ ^ [Y3: a > $o] :
( ( ( Y2 @ Y1 )
& ( Y3 @ Y0 )
& ( Y2 @ Y0 )
& ( cP @ Y3 )
& ( cP @ Y2 ) )
=> ( Y3 @ Y1 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( cP @ Y1 )
& ( Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( cP @ Y0 )
=> ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) ) )
=> ( ??
@ ^ [Y0: a > a > $o] :
( ( ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
<=> ( Y0 @ Y2 @ Y3 ) ) ) ) )
& ( ??
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) ) )
= cP ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( !!
@ ^ [Y3: a > $o] :
( ( ( Y2 @ Y1 )
& ( Y3 @ Y0 )
& ( Y2 @ Y0 )
& ( cP @ Y3 )
& ( cP @ Y2 ) )
=> ( Y3 @ Y1 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( cP @ Y1 )
& ( Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( cP @ Y0 )
=> ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) ) )
=> ( ??
@ ^ [Y0: a > a > $o] :
( ( ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
<=> ( Y0 @ Y2 @ Y3 ) ) ) ) )
& ( ??
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) ) )
= cP ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( !!
@ ^ [Y3: a > $o] :
( ( ( Y2 @ Y1 )
& ( Y3 @ Y0 )
& ( Y2 @ Y0 )
& ( cP @ Y3 )
& ( cP @ Y2 ) )
=> ( Y3 @ Y1 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( cP @ Y1 )
& ( Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( cP @ Y0 )
=> ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( !!
@ ^ [Y3: a > $o] :
( ( ( Y2 @ Y1 )
& ( Y3 @ Y0 )
& ( Y2 @ Y0 )
& ( cP @ Y3 )
& ( cP @ Y2 ) )
=> ( Y3 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl12,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a > $o] :
( ( ( Y1 @ Y0 )
& ( Y2 @ X2 )
& ( Y1 @ X2 )
& ( cP @ Y2 )
& ( cP @ Y1 ) )
=> ( Y2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl19,plain,
! [X2: a,X4: a] :
( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( Y0 @ X4 )
& ( Y1 @ X2 )
& ( Y0 @ X2 )
& ( cP @ Y1 )
& ( cP @ Y0 ) )
=> ( Y1 @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl27,plain,
! [X2: a,X4: a,X6: a > $o] :
( !!
@ ^ [Y0: a > $o] :
( ( ( X6 @ X4 )
& ( Y0 @ X2 )
& ( X6 @ X2 )
& ( cP @ Y0 )
& ( cP @ X6 ) )
=> ( Y0 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl32,plain,
! [X2: a,X4: a,X6: a > $o,X8: a > $o] :
( ( ( X6 @ X4 )
& ( X8 @ X2 )
& ( X6 @ X2 )
& ( cP @ X8 )
& ( cP @ X6 ) )
=> ( X8 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl33,plain,
! [X0: a,X1: a,X2: a > $o,X3: a] :
( ( ( X2 @ X1 )
& ( '#sk44' @ X0 @ X3 )
& ( X2 @ X3 )
& ( cP @ ( '#sk44' @ X0 ) )
& ( cP @ X2 ) )
=> ( '#sk44' @ X0 @ X1 ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( cP @ Y1 )
& ( Y1 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl13,plain,
! [X2: a] :
( ??
@ ^ [Y0: a > $o] :
( ( cP @ Y0 )
& ( Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl23,plain,
! [X2: a] :
( ( cP @ ( '#sk44' @ X2 ) )
& ( '#sk44' @ X2 @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl29,plain,
! [X2: a] : ( cP @ ( '#sk44' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl137,plain,
! [X0: a,X1: a,X2: a > $o,X3: a] :
( ( ( X2 @ X1 )
& ( '#sk44' @ X0 @ X3 )
& ( X2 @ X3 )
& $true
& ( cP @ X2 ) )
=> ( '#sk44' @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl29]) ).
thf(zip_derived_cl138,plain,
! [X0: a,X1: a,X2: a > $o,X3: a] :
( ( ( cP @ X2 )
& ( X2 @ X3 )
& ( '#sk44' @ X0 @ X3 )
& ( X2 @ X1 ) )
=> ( '#sk44' @ X0 @ X1 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl137]) ).
thf(zip_derived_cl139,plain,
! [X0: a,X1: a,X2: a > $o,X3: a] :
( ~ ( ( cP @ X2 )
& ( X2 @ X3 )
& ( '#sk44' @ X0 @ X3 )
& ( X2 @ X1 ) )
| ( '#sk44' @ X0 @ X1 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl138]) ).
thf(zip_derived_cl140,plain,
! [X0: a,X1: a,X2: a > $o,X3: a] :
( ~ ( cP @ X2 )
| ~ ( X2 @ X3 )
| ~ ( '#sk44' @ X0 @ X3 )
| ~ ( X2 @ X1 )
| ( '#sk44' @ X0 @ X1 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl139]) ).
thf(zip_derived_cl9,plain,
( !!
@ ^ [Y0: a > $o] :
( ( cP @ Y0 )
=> ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl14,plain,
! [X2: a > $o] :
( ( cP @ X2 )
=> ( ??
@ ^ [Y0: a] : ( X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl20,plain,
! [X0: a] :
( ( cP @ ( '#sk44' @ X0 ) )
=> ( ??
@ ^ [Y0: a] : ( '#sk44' @ X0 @ Y0 ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl29_001,plain,
! [X2: a] : ( cP @ ( '#sk44' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl51,plain,
! [X0: a] :
( $true
=> ( ??
@ ^ [Y0: a] : ( '#sk44' @ X0 @ Y0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl29]) ).
thf(zip_derived_cl52,plain,
! [X0: a] :
( ??
@ ^ [Y0: a] : ( '#sk44' @ X0 @ Y0 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl53,plain,
! [X0: a] : ( '#sk44' @ X0 @ ( '#sk66' @ ( '#sk44' @ X0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( cP @ Y0 )
& ( Y0 = Y1 ) )
=> ( cP @ Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: a > $o] :
( !!
@ ^ [Y0: a > $o] :
( ( ( cP @ X2 )
& ( X2 = Y0 ) )
=> ( cP @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl22,plain,
! [X0: a] :
( !!
@ ^ [Y0: a > $o] :
( ( ( cP @ ( '#sk44' @ X0 ) )
& ( ( '#sk44' @ X0 )
= Y0 ) )
=> ( cP @ Y0 ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl68,plain,
! [X0: a,X2: a > $o] :
( ( ( cP @ ( '#sk44' @ X0 ) )
& ( ( '#sk44' @ X0 )
= X2 ) )
=> ( cP @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl69,plain,
! [X0: a > a > $o,X1: a] :
( ( ( cP @ ( '#sk44' @ X1 ) )
& ( ( '#sk44' @ X1 )
= ( '#_fresh_sk9' @ X0 ) ) )
=> ( cP @ ( '#_fresh_sk9' @ X0 ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl29_002,plain,
! [X2: a] : ( cP @ ( '#sk44' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl87,plain,
! [X0: a > a > $o,X1: a] :
( ( $true
& ( ( '#sk44' @ X1 )
= ( '#_fresh_sk9' @ X0 ) ) )
=> ( cP @ ( '#_fresh_sk9' @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl29]) ).
thf(zip_derived_cl88,plain,
! [X0: a > a > $o,X1: a] :
( ( ( '#sk44' @ X1 )
= ( '#_fresh_sk9' @ X0 ) )
=> ( cP @ ( '#_fresh_sk9' @ X0 ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl89,plain,
! [X0: a > a > $o,X1: a] :
( ( ( '#sk44' @ X1 )
!= ( '#_fresh_sk9' @ X0 ) )
| ( cP @ ( '#_fresh_sk9' @ X0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl90,plain,
! [X0: a > a > $o,X1: a] :
( ( ( '#sk44' @ X1 )
!= ( '#_fresh_sk9' @ X0 ) )
| ( cP @ ( '#_fresh_sk9' @ X0 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl91,plain,
! [X0: a > a > $o,X1: a] :
( ( ( '#sk44' @ X1 @ ( '#_fresh_sk272' @ X0 @ X1 ) )
!= ( '#_fresh_sk9' @ X0 @ ( '#_fresh_sk272' @ X0 @ X1 ) ) )
| ( cP @ ( '#_fresh_sk9' @ X0 ) ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl27_003,plain,
! [X2: a,X4: a,X6: a > $o] :
( !!
@ ^ [Y0: a > $o] :
( ( ( X6 @ X4 )
& ( Y0 @ X2 )
& ( X6 @ X2 )
& ( cP @ Y0 )
& ( cP @ X6 ) )
=> ( Y0 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl28,plain,
! [X0: a,X1: a,X2: a] :
( !!
@ ^ [Y0: a > $o] :
( ( ( '#sk44' @ X1 @ X0 )
& ( Y0 @ X2 )
& ( '#sk44' @ X1 @ X2 )
& ( cP @ Y0 )
& ( cP @ ( '#sk44' @ X1 ) ) )
=> ( Y0 @ X0 ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl103,plain,
! [X0: a,X1: a,X2: a,X4: a > $o] :
( ( ( '#sk44' @ X1 @ X0 )
& ( X4 @ X2 )
& ( '#sk44' @ X1 @ X2 )
& ( cP @ X4 )
& ( cP @ ( '#sk44' @ X1 ) ) )
=> ( X4 @ X0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl29_004,plain,
! [X2: a] : ( cP @ ( '#sk44' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl108,plain,
! [X0: a,X1: a,X2: a,X4: a > $o] :
( ( ( '#sk44' @ X1 @ X0 )
& ( X4 @ X2 )
& ( '#sk44' @ X1 @ X2 )
& ( cP @ X4 )
& $true )
=> ( X4 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl29]) ).
thf(zip_derived_cl109,plain,
! [X0: a,X1: a,X2: a,X4: a > $o] :
( ( ( cP @ X4 )
& ( '#sk44' @ X1 @ X2 )
& ( '#sk44' @ X1 @ X0 )
& ( X4 @ X2 ) )
=> ( X4 @ X0 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl108]) ).
thf(zip_derived_cl110,plain,
! [X0: a,X1: a,X2: a,X4: a > $o] :
( ~ ( ( cP @ X4 )
& ( '#sk44' @ X1 @ X2 )
& ( '#sk44' @ X1 @ X0 )
& ( X4 @ X2 ) )
| ( X4 @ X0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl109]) ).
thf(zip_derived_cl111,plain,
! [X0: a,X1: a,X2: a,X4: a > $o] :
( ~ ( cP @ X4 )
| ~ ( '#sk44' @ X1 @ X2 )
| ~ ( '#sk44' @ X1 @ X0 )
| ~ ( X4 @ X2 )
| ( X4 @ X0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl110]) ).
thf(zip_derived_cl5,plain,
~ ( ??
@ ^ [Y0: a > a > $o] :
( ( ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
<=> ( Y0 @ Y2 @ Y3 ) ) ) ) )
& ( ??
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) ) )
= cP ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl10,plain,
! [X2: a > a > $o] :
( ( ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
<=> ( X2 @ Y1 @ Y2 ) ) ) ) )
& ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) )
!= cP ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl15,plain,
! [X2: a > a > $o] :
( ( ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
<=> ( X2 @ Y1 @ Y2 ) ) ) ) )
& ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) )
!= cP ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl16,plain,
! [X2: a > a > $o] :
( ( ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
<=> ( X2 @ Y1 @ Y2 ) ) ) ) )
& ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
@ ( '#_fresh_sk9' @ X2 ) )
!= ( cP @ ( '#_fresh_sk9' @ X2 ) ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl17,plain,
! [X2: a > a > $o] :
( ( ( !!
@ ^ [Y0: a] :
( ( '#_fresh_sk9' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( '#_fresh_sk9' @ X2 @ Y1 )
<=> ( X2 @ Y0 @ Y1 ) ) ) ) )
& ( ??
@ ^ [Y0: a] : ( '#_fresh_sk9' @ X2 @ Y0 ) ) )
!= ( cP @ ( '#_fresh_sk9' @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl29_005,plain,
! [X2: a] : ( cP @ ( '#sk44' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl14_006,plain,
! [X2: a > $o] :
( ( cP @ X2 )
=> ( ??
@ ^ [Y0: a] : ( X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl24,plain,
! [X2: a > $o] :
( ~ ( cP @ X2 )
| ( ??
@ ^ [Y0: a] : ( X2 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl31,plain,
! [X2: a > $o] :
( ( X2 @ ( '#sk66' @ X2 ) )
| ~ ( cP @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl30,plain,
! [X2: a] : ( '#sk44' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl103_007,plain,
! [X0: a,X1: a,X2: a,X4: a > $o] :
( ( ( '#sk44' @ X1 @ X0 )
& ( X4 @ X2 )
& ( '#sk44' @ X1 @ X2 )
& ( cP @ X4 )
& ( cP @ ( '#sk44' @ X1 ) ) )
=> ( X4 @ X0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl107,plain,
! [X0: a,X1: a,X2: a,X3: a] :
( ( ( '#sk44' @ X2 @ X1 )
& ( '#sk44' @ X0 @ X3 )
& ( '#sk44' @ X2 @ X3 )
& ( cP @ ( '#sk44' @ X0 ) )
& ( cP @ ( '#sk44' @ X2 ) ) )
=> ( '#sk44' @ X0 @ X1 ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl103]) ).
thf(zip_derived_cl29_008,plain,
! [X2: a] : ( cP @ ( '#sk44' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl29_009,plain,
! [X2: a] : ( cP @ ( '#sk44' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl167,plain,
! [X0: a,X1: a,X2: a,X3: a] :
( ( ( '#sk44' @ X2 @ X1 )
& ( '#sk44' @ X0 @ X3 )
& ( '#sk44' @ X2 @ X3 )
& $true
& $true )
=> ( '#sk44' @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl29,zip_derived_cl29]) ).
thf(zip_derived_cl168,plain,
! [X0: a,X1: a,X2: a,X3: a] :
( ( ( '#sk44' @ X0 @ X3 )
& ( '#sk44' @ X2 @ X3 )
& ( '#sk44' @ X2 @ X1 ) )
=> ( '#sk44' @ X0 @ X1 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl167]) ).
thf(zip_derived_cl169,plain,
! [X0: a,X1: a,X2: a,X3: a] :
( ~ ( ( '#sk44' @ X0 @ X3 )
& ( '#sk44' @ X2 @ X3 )
& ( '#sk44' @ X2 @ X1 ) )
| ( '#sk44' @ X0 @ X1 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl168]) ).
thf(zip_derived_cl170,plain,
! [X0: a,X1: a,X2: a,X3: a] :
( ~ ( '#sk44' @ X0 @ X3 )
| ~ ( '#sk44' @ X2 @ X3 )
| ~ ( '#sk44' @ X2 @ X1 )
| ( '#sk44' @ X0 @ X1 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl169]) ).
thf(zip_derived_cl6729,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl140,zip_derived_cl53,zip_derived_cl91,zip_derived_cl111,zip_derived_cl17,zip_derived_cl29,zip_derived_cl31,zip_derived_cl30,zip_derived_cl170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV021^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZAsgXlR2HV true
% 0.14/0.34 % Computer : n005.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 03:06:24 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
% 0.21/0.66 % Total configuration time : 828
% 0.21/0.66 % Estimated wc time : 1656
% 0.21/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72 % /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
% 0.21/0.75 % /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
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.04/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.04/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 53.09/7.48 % Solved by lams/20_acsne_simpl.sh.
% 53.09/7.48 % done 286 iterations in 6.647s
% 53.09/7.48 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 53.09/7.48 % SZS output start Refutation
% See solution above
% 53.09/7.48
% 53.09/7.48
% 53.09/7.48 % Terminating...
% 53.75/7.63 % Runner terminated.
% 53.75/7.64 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------