TSTP Solution File: SEV198^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV198^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dmxpVLQyy4 true
% Computer : n001.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 19:59:58 EDT 2023
% Result : Theorem 53.66s 7.52s
% Output : Refutation 53.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 21
% Syntax : Number of formulae : 59 ( 5 unt; 15 typ; 0 def)
% Number of atoms : 323 ( 198 equ; 0 cnn)
% Maximal formula atoms : 28 ( 7 avg)
% Number of connectives : 1104 ( 27 ~; 82 |; 133 &; 724 @)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 13 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 154 ( 154 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 14 usr; 5 con; 0-2 aty)
% ( 36 !!; 75 ??; 0 @@+; 0 @@-)
% Number of variables : 179 ( 111 ^; 56 !; 12 ?; 179 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk273_type',type,
'#sk273': ( a > a > a > $o ) > a ).
thf('#form553_type',type,
'#form553': ( a > a > a > $o ) > $o ).
thf('#sk190_type',type,
'#sk190': ( a > a > a > $o ) > a ).
thf('#sk229_type',type,
'#sk229': ( a > a > a > $o ) > a ).
thf(x_type,type,
x: a ).
thf('#sk376_type',type,
'#sk376': ( a > a > a > $o ) > a ).
thf('#sk40_type',type,
'#sk40': ( a > a > a > $o ) > a ).
thf(cP_type,type,
cP: a > a > a ).
thf(c0_type,type,
c0: a ).
thf('#sk72_type',type,
'#sk72': ( a > a > a > $o ) > a ).
thf('#form737_type',type,
'#form737': ( a > a > a > $o ) > $o ).
thf('#sk322_type',type,
'#sk322': ( a > a > a > $o ) > a ).
thf('#sk19_type',type,
'#sk19': ( a > a > a > $o ) > a ).
thf('#sk435_type',type,
'#sk435': ( a > a > a > $o ) > a ).
thf(cS_INCL_LEM6_pme,conjecture,
( ( ! [Xx0: a,Xy: a] :
( ( cP @ Xx0 @ Xy )
!= c0 )
& ! [Xx0: a,Xy: a,Xu: a,Xv: a] :
( ( ( cP @ Xx0 @ Xu )
= ( cP @ Xy @ Xv ) )
=> ( ( Xu = Xv )
& ( Xx0 = Xy ) ) ) )
=> ( ! [R: a > a > a > $o] :
( ! [Xa: a,Xb: a,Xc: a] :
( ( ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( R @ Xx2 @ Xy2 @ Xz2 ) )
| ( ( Xa = Xc )
& ( Xb = c0 ) )
| ( ( Xb = Xc )
& ( Xa = c0 ) ) )
=> ( R @ Xa @ Xb @ Xc ) )
=> ( R @ x @ c0 @ c0 ) )
=> ( x = c0 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [Xx0: a,Xy: a] :
( ( cP @ Xx0 @ Xy )
!= c0 )
& ! [Xx0: a,Xy: a,Xu: a,Xv: a] :
( ( ( cP @ Xx0 @ Xu )
= ( cP @ Xy @ Xv ) )
=> ( ( Xu = Xv )
& ( Xx0 = Xy ) ) ) )
=> ( ! [R: a > a > a > $o] :
( ! [Xa: a,Xb: a,Xc: a] :
( ( ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( R @ Xx2 @ Xy2 @ Xz2 ) )
| ( ( Xa = Xc )
& ( Xb = c0 ) )
| ( ( Xb = Xc )
& ( Xa = c0 ) ) )
=> ( R @ Xa @ Xb @ Xc ) )
=> ( R @ x @ c0 @ c0 ) )
=> ( x = c0 ) ) ),
inference('cnf.neg',[status(esa)],[cS_INCL_LEM6_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
!= c0 ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( cP @ Y0 @ Y2 )
= ( cP @ Y1 @ Y3 ) )
=> ( ( Y2 = Y3 )
& ( Y0 = Y1 ) ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: a > a > a > $o] :
( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ??
@ ^ [Y8: a] :
( ??
@ ^ [Y9: a] :
( ( Y1
= ( cP @ Y4 @ Y5 ) )
& ( Y2
= ( cP @ Y6 @ Y7 ) )
& ( Y3
= ( cP @ Y8 @ Y9 ) )
& ( Y0 @ Y4 @ Y6 @ Y8 )
& ( Y0 @ Y5 @ Y7 @ Y9 ) ) ) ) ) ) ) )
| ( ( Y1 = Y3 )
& ( Y2 = c0 ) )
| ( ( Y2 = Y3 )
& ( Y1 = c0 ) ) )
=> ( Y0 @ Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y0 @ x @ c0 @ c0 ) ) )
=> ( x = c0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: a > a > a > $o] :
( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ??
@ ^ [Y8: a] :
( ??
@ ^ [Y9: a] :
( ( Y1
= ( cP @ Y4 @ Y5 ) )
& ( Y2
= ( cP @ Y6 @ Y7 ) )
& ( Y3
= ( cP @ Y8 @ Y9 ) )
& ( Y0 @ Y4 @ Y6 @ Y8 )
& ( Y0 @ Y5 @ Y7 @ Y9 ) ) ) ) ) ) ) )
| ( ( Y1 = Y3 )
& ( Y2 = c0 ) )
| ( ( Y2 = Y3 )
& ( Y1 = c0 ) ) )
=> ( Y0 @ Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y0 @ x @ c0 @ c0 ) ) )
=> ( x = c0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
x != c0,
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl10,plain,
x != c0,
inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: a > a > a > $o] :
( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ??
@ ^ [Y8: a] :
( ??
@ ^ [Y9: a] :
( ( Y1
= ( cP @ Y4 @ Y5 ) )
& ( Y2
= ( cP @ Y6 @ Y7 ) )
& ( Y3
= ( cP @ Y8 @ Y9 ) )
& ( Y0 @ Y4 @ Y6 @ Y8 )
& ( Y0 @ Y5 @ Y7 @ Y9 ) ) ) ) ) ) ) )
| ( ( Y1 = Y3 )
& ( Y2 = c0 ) )
| ( ( Y2 = Y3 )
& ( Y1 = c0 ) ) )
=> ( Y0 @ Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y0 @ x @ c0 @ c0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl9,plain,
! [X2: a > a > a > $o] :
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ??
@ ^ [Y8: a] :
( ( Y0
= ( cP @ Y3 @ Y4 ) )
& ( Y1
= ( cP @ Y5 @ Y6 ) )
& ( Y2
= ( cP @ Y7 @ Y8 ) )
& ( X2 @ Y3 @ Y5 @ Y7 )
& ( X2 @ Y4 @ Y6 @ Y8 ) ) ) ) ) ) ) )
| ( ( Y0 = Y2 )
& ( Y1 = c0 ) )
| ( ( Y1 = Y2 )
& ( Y0 = c0 ) ) )
=> ( X2 @ Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( X2 @ x @ c0 @ c0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
! [X2: a > a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ??
@ ^ [Y8: a] :
( ( Y0
= ( cP @ Y3 @ Y4 ) )
& ( Y1
= ( cP @ Y5 @ Y6 ) )
& ( Y2
= ( cP @ Y7 @ Y8 ) )
& ( X2 @ Y3 @ Y5 @ Y7 )
& ( X2 @ Y4 @ Y6 @ Y8 ) ) ) ) ) ) ) )
| ( ( Y0 = Y2 )
& ( Y1 = c0 ) )
| ( ( Y1 = Y2 )
& ( Y0 = c0 ) ) )
=> ( X2 @ Y0 @ Y1 @ Y2 ) ) ) ) )
| ( X2 @ x @ c0 @ c0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl16,plain,
! [X2: a > a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ( ( '#sk19' @ X2 )
= ( cP @ Y2 @ Y3 ) )
& ( Y0
= ( cP @ Y4 @ Y5 ) )
& ( Y1
= ( cP @ Y6 @ Y7 ) )
& ( X2 @ Y2 @ Y4 @ Y6 )
& ( X2 @ Y3 @ Y5 @ Y7 ) ) ) ) ) ) ) )
| ( ( ( '#sk19' @ X2 )
= Y1 )
& ( Y0 = c0 ) )
| ( ( Y0 = Y1 )
& ( ( '#sk19' @ X2 )
= c0 ) ) )
=> ( X2 @ ( '#sk19' @ X2 ) @ Y0 @ Y1 ) ) ) )
| ( X2 @ x @ c0 @ c0 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl18,plain,
! [X2: a > a > a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( ( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ( ( '#sk19' @ X2 )
= ( cP @ Y1 @ Y2 ) )
& ( ( '#sk40' @ X2 )
= ( cP @ Y3 @ Y4 ) )
& ( Y0
= ( cP @ Y5 @ Y6 ) )
& ( X2 @ Y1 @ Y3 @ Y5 )
& ( X2 @ Y2 @ Y4 @ Y6 ) ) ) ) ) ) ) )
| ( ( ( '#sk19' @ X2 )
= Y0 )
& ( ( '#sk40' @ X2 )
= c0 ) )
| ( ( ( '#sk40' @ X2 )
= Y0 )
& ( ( '#sk19' @ X2 )
= c0 ) ) )
=> ( X2 @ ( '#sk19' @ X2 ) @ ( '#sk40' @ X2 ) @ Y0 ) ) )
| ( X2 @ x @ c0 @ c0 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl20,plain,
! [X2: a > a > a > $o] :
( ~ ( ( ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ( ( '#sk19' @ X2 )
= ( cP @ Y0 @ Y1 ) )
& ( ( '#sk40' @ X2 )
= ( cP @ Y2 @ Y3 ) )
& ( ( '#sk72' @ X2 )
= ( cP @ Y4 @ Y5 ) )
& ( X2 @ Y0 @ Y2 @ Y4 )
& ( X2 @ Y1 @ Y3 @ Y5 ) ) ) ) ) ) ) )
| ( ( ( '#sk19' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk40' @ X2 )
= c0 ) )
| ( ( ( '#sk40' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk19' @ X2 )
= c0 ) ) )
=> ( X2 @ ( '#sk19' @ X2 ) @ ( '#sk40' @ X2 ) @ ( '#sk72' @ X2 ) ) )
| ( X2 @ x @ c0 @ c0 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl24,plain,
! [X2: a > a > a > $o] :
( ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ( ( '#sk19' @ X2 )
= ( cP @ Y0 @ Y1 ) )
& ( ( '#sk40' @ X2 )
= ( cP @ Y2 @ Y3 ) )
& ( ( '#sk72' @ X2 )
= ( cP @ Y4 @ Y5 ) )
& ( X2 @ Y0 @ Y2 @ Y4 )
& ( X2 @ Y1 @ Y3 @ Y5 ) ) ) ) ) ) ) )
| ( ( ( '#sk19' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk40' @ X2 )
= c0 ) )
| ( ( ( '#sk40' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk19' @ X2 )
= c0 ) )
| ( X2 @ x @ c0 @ c0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl28,plain,
! [X2: a > a > a > $o] :
( ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ( ( '#sk19' @ X2 )
= ( cP @ Y0 @ Y1 ) )
& ( ( '#sk40' @ X2 )
= ( cP @ Y2 @ Y3 ) )
& ( ( '#sk72' @ X2 )
= ( cP @ Y4 @ Y5 ) )
& ( X2 @ Y0 @ Y2 @ Y4 )
& ( X2 @ Y1 @ Y3 @ Y5 ) ) ) ) ) ) ) )
| ( ( ( '#sk19' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk40' @ X2 )
= c0 ) )
| ( ( ( '#sk40' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk19' @ X2 )
= c0 ) )
| ( X2 @ x @ c0 @ c0 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl29,plain,
! [X2: a > a > a > $o] :
( ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ( ( '#sk19' @ X2 )
= ( cP @ ( '#sk190' @ X2 ) @ Y0 ) )
& ( ( '#sk40' @ X2 )
= ( cP @ Y1 @ Y2 ) )
& ( ( '#sk72' @ X2 )
= ( cP @ Y3 @ Y4 ) )
& ( X2 @ ( '#sk190' @ X2 ) @ Y1 @ Y3 )
& ( X2 @ Y0 @ Y2 @ Y4 ) ) ) ) ) ) )
| ( X2 @ x @ c0 @ c0 )
| ( ( ( '#sk40' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk19' @ X2 )
= c0 ) )
| ( ( ( '#sk19' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk40' @ X2 )
= c0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl30,plain,
! [X2: a > a > a > $o] :
( ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ( ( '#sk19' @ X2 )
= ( cP @ ( '#sk190' @ X2 ) @ ( '#sk229' @ X2 ) ) )
& ( ( '#sk40' @ X2 )
= ( cP @ Y0 @ Y1 ) )
& ( ( '#sk72' @ X2 )
= ( cP @ Y2 @ Y3 ) )
& ( X2 @ ( '#sk190' @ X2 ) @ Y0 @ Y2 )
& ( X2 @ ( '#sk229' @ X2 ) @ Y1 @ Y3 ) ) ) ) ) )
| ( ( ( '#sk19' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk40' @ X2 )
= c0 ) )
| ( ( ( '#sk40' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk19' @ X2 )
= c0 ) )
| ( X2 @ x @ c0 @ c0 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl31,plain,
! [X2: a > a > a > $o] :
( ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ( ( '#sk19' @ X2 )
= ( cP @ ( '#sk190' @ X2 ) @ ( '#sk229' @ X2 ) ) )
& ( ( '#sk40' @ X2 )
= ( cP @ ( '#sk273' @ X2 ) @ Y0 ) )
& ( ( '#sk72' @ X2 )
= ( cP @ Y1 @ Y2 ) )
& ( X2 @ ( '#sk190' @ X2 ) @ ( '#sk273' @ X2 ) @ Y1 )
& ( X2 @ ( '#sk229' @ X2 ) @ Y0 @ Y2 ) ) ) ) )
| ( X2 @ x @ c0 @ c0 )
| ( ( ( '#sk40' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk19' @ X2 )
= c0 ) )
| ( ( ( '#sk19' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk40' @ X2 )
= c0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl32,plain,
! [X2: a > a > a > $o] :
( ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ( ( '#sk19' @ X2 )
= ( cP @ ( '#sk190' @ X2 ) @ ( '#sk229' @ X2 ) ) )
& ( ( '#sk40' @ X2 )
= ( cP @ ( '#sk273' @ X2 ) @ ( '#sk322' @ X2 ) ) )
& ( ( '#sk72' @ X2 )
= ( cP @ Y0 @ Y1 ) )
& ( X2 @ ( '#sk190' @ X2 ) @ ( '#sk273' @ X2 ) @ Y0 )
& ( X2 @ ( '#sk229' @ X2 ) @ ( '#sk322' @ X2 ) @ Y1 ) ) ) )
| ( ( ( '#sk19' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk40' @ X2 )
= c0 ) )
| ( ( ( '#sk40' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk19' @ X2 )
= c0 ) )
| ( X2 @ x @ c0 @ c0 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl33,plain,
! [X2: a > a > a > $o] :
( ( ??
@ ^ [Y0: a] :
( ( ( '#sk19' @ X2 )
= ( cP @ ( '#sk190' @ X2 ) @ ( '#sk229' @ X2 ) ) )
& ( ( '#sk40' @ X2 )
= ( cP @ ( '#sk273' @ X2 ) @ ( '#sk322' @ X2 ) ) )
& ( ( '#sk72' @ X2 )
= ( cP @ ( '#sk376' @ X2 ) @ Y0 ) )
& ( X2 @ ( '#sk190' @ X2 ) @ ( '#sk273' @ X2 ) @ ( '#sk376' @ X2 ) )
& ( X2 @ ( '#sk229' @ X2 ) @ ( '#sk322' @ X2 ) @ Y0 ) ) )
| ( X2 @ x @ c0 @ c0 )
| ( ( ( '#sk40' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk19' @ X2 )
= c0 ) )
| ( ( ( '#sk19' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk40' @ X2 )
= c0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl34,plain,
! [X2: a > a > a > $o] :
( ( ( ( '#sk19' @ X2 )
= ( cP @ ( '#sk190' @ X2 ) @ ( '#sk229' @ X2 ) ) )
& ( ( '#sk40' @ X2 )
= ( cP @ ( '#sk273' @ X2 ) @ ( '#sk322' @ X2 ) ) )
& ( ( '#sk72' @ X2 )
= ( cP @ ( '#sk376' @ X2 ) @ ( '#sk435' @ X2 ) ) )
& ( X2 @ ( '#sk190' @ X2 ) @ ( '#sk273' @ X2 ) @ ( '#sk376' @ X2 ) )
& ( X2 @ ( '#sk229' @ X2 ) @ ( '#sk322' @ X2 ) @ ( '#sk435' @ X2 ) ) )
| ( ( ( '#sk19' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk40' @ X2 )
= c0 ) )
| ( ( ( '#sk40' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk19' @ X2 )
= c0 ) )
| ( X2 @ x @ c0 @ c0 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl35,plain,
! [X2: a > a > a > $o] :
( ( ( '#sk19' @ X2 )
= ( cP @ ( '#sk190' @ X2 ) @ ( '#sk229' @ X2 ) ) )
| ( X2 @ x @ c0 @ c0 )
| ( ( ( '#sk40' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk19' @ X2 )
= c0 ) )
| ( ( ( '#sk19' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk40' @ X2 )
= c0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl40,plain,
! [X2: a > a > a > $o] :
( ( ( '#sk19' @ X2 )
= ( cP @ ( '#sk190' @ X2 ) @ ( '#sk229' @ X2 ) ) )
| ( X2 @ x @ c0 @ c0 )
| ( ( ( '#sk40' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk19' @ X2 )
= c0 ) )
| ( ( ( '#sk19' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk40' @ X2 )
= c0 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl41,plain,
! [X2: a > a > a > $o] :
( ~ ( '#form553' @ X2 )
| ( ( ( '#sk40' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk19' @ X2 )
= c0 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl43,plain,
! [X2: a > a > a > $o] :
( ( ( '#sk19' @ X2 )
= c0 )
| ~ ( '#form553' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl56,plain,
! [X2: a > a > a > $o] :
( ( ( '#sk19' @ X2 )
= c0 )
| ~ ( '#form553' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl37,plain,
! [X2: a > a > a > $o] :
( ( ( '#sk72' @ X2 )
= ( cP @ ( '#sk376' @ X2 ) @ ( '#sk435' @ X2 ) ) )
| ( X2 @ x @ c0 @ c0 )
| ( ( ( '#sk40' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk19' @ X2 )
= c0 ) )
| ( ( ( '#sk19' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk40' @ X2 )
= c0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl47,plain,
! [X2: a > a > a > $o] :
( ( ( '#sk72' @ X2 )
= ( cP @ ( '#sk376' @ X2 ) @ ( '#sk435' @ X2 ) ) )
| ( X2 @ x @ c0 @ c0 )
| ( ( ( '#sk40' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk19' @ X2 )
= c0 ) )
| ( ( ( '#sk19' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk40' @ X2 )
= c0 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl41_001,plain,
! [X2: a > a > a > $o] :
( ~ ( '#form553' @ X2 )
| ( ( ( '#sk40' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk19' @ X2 )
= c0 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl48,plain,
! [X2: a > a > a > $o] :
( ( '#form553' @ X2 )
| ( ( ( '#sk19' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk40' @ X2 )
= c0 ) )
| ( X2 @ x @ c0 @ c0 )
| ( ( '#sk72' @ X2 )
= ( cP @ ( '#sk376' @ X2 ) @ ( '#sk435' @ X2 ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl47,zip_derived_cl41]) ).
thf(zip_derived_cl40_002,plain,
! [X2: a > a > a > $o] :
( ( ( '#sk19' @ X2 )
= ( cP @ ( '#sk190' @ X2 ) @ ( '#sk229' @ X2 ) ) )
| ( X2 @ x @ c0 @ c0 )
| ( ( ( '#sk40' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk19' @ X2 )
= c0 ) )
| ( ( ( '#sk19' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk40' @ X2 )
= c0 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl41_003,plain,
! [X2: a > a > a > $o] :
( ~ ( '#form553' @ X2 )
| ( ( ( '#sk40' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk19' @ X2 )
= c0 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl44,plain,
! [X2: a > a > a > $o] :
( ( '#form553' @ X2 )
| ( ( ( '#sk19' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk40' @ X2 )
= c0 ) )
| ( X2 @ x @ c0 @ c0 )
| ( ( '#sk19' @ X2 )
= ( cP @ ( '#sk190' @ X2 ) @ ( '#sk229' @ X2 ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl40,zip_derived_cl41]) ).
thf(zip_derived_cl51,plain,
! [X2: a > a > a > $o] :
( ~ ( '#form737' @ X2 )
| ( ( ( '#sk19' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk40' @ X2 )
= c0 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl58,plain,
! [X2: a > a > a > $o] :
( ( '#form737' @ X2 )
| ( ( '#sk72' @ X2 )
= ( cP @ ( '#sk376' @ X2 ) @ ( '#sk435' @ X2 ) ) )
| ( X2 @ x @ c0 @ c0 )
| ( '#form553' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl48,zip_derived_cl51]) ).
thf(zip_derived_cl1,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
!= c0 ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( cP @ Y0 @ Y2 )
= ( cP @ Y1 @ Y3 ) )
=> ( ( Y2 = Y3 )
& ( Y0 = Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
!= c0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl7,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( cP @ X2 @ Y0 )
!= c0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl11,plain,
! [X2: a,X4: a] :
( ( cP @ X2 @ X4 )
!= c0 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl14,plain,
! [X2: a,X4: a] :
( ( cP @ X2 @ X4 )
!= c0 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl51_004,plain,
! [X2: a > a > a > $o] :
( ~ ( '#form737' @ X2 )
| ( ( ( '#sk19' @ X2 )
= ( '#sk72' @ X2 ) )
& ( ( '#sk40' @ X2 )
= c0 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl52,plain,
! [X2: a > a > a > $o] :
( ( ( '#sk19' @ X2 )
= ( '#sk72' @ X2 ) )
| ~ ( '#form737' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl61,plain,
! [X2: a > a > a > $o] :
( ( ( '#sk19' @ X2 )
= ( '#sk72' @ X2 ) )
| ~ ( '#form737' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl25,plain,
! [X2: a > a > a > $o] :
( ~ ( X2 @ ( '#sk19' @ X2 ) @ ( '#sk40' @ X2 ) @ ( '#sk72' @ X2 ) )
| ( X2 @ x @ c0 @ c0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl5525,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl10,zip_derived_cl56,zip_derived_cl58,zip_derived_cl14,zip_derived_cl61,zip_derived_cl25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEV198^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dmxpVLQyy4 true
% 0.12/0.31 % Computer : n001.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Thu Aug 24 03:08:10 EDT 2023
% 0.12/0.31 % CPUTime :
% 0.12/0.31 % Running portfolio for 300 s
% 0.12/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.31 % Number of cores: 8
% 0.12/0.32 % Python version: Python 3.6.8
% 0.12/0.32 % Running in HO mode
% 0.16/0.59 % Total configuration time : 828
% 0.16/0.59 % Estimated wc time : 1656
% 0.16/0.59 % Estimated cpu time (8 cpus) : 207.0
% 0.16/0.64 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.16/0.68 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.16/0.68 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.16/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.16/0.69 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.16/0.69 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.16/0.69 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.16/0.74 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 53.66/7.52 % Solved by lams/20_acsne_simpl.sh.
% 53.66/7.52 % done 404 iterations in 6.717s
% 53.66/7.52 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 53.66/7.52 % SZS output start Refutation
% See solution above
% 53.66/7.52
% 53.66/7.52
% 53.66/7.52 % Terminating...
% 54.38/7.69 % Runner terminated.
% 54.38/7.70 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------