TSTP Solution File: SEV062^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV062^5 : 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.lD0A9GCtf8 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 19:59:28 EDT 2023
% Result : Theorem 1.17s 0.93s
% Output : Refutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 13
% Syntax : Number of formulae : 71 ( 3 unt; 10 typ; 0 def)
% Number of atoms : 345 ( 0 equ; 1 cnn)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 1087 ( 48 ~; 34 |; 61 &; 695 @)
% ( 0 <=>; 97 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 86 ( 86 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 5 con; 0-2 aty)
% ( 152 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 217 ( 152 ^; 65 !; 0 ?; 217 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk1_type',type,
'#sk1': $i > $i > $o ).
thf('#sk32_type',type,
'#sk32': ( $i > $i > $o ) > $i ).
thf('#sk3_type',type,
'#sk3': $i ).
thf('#sk4_type',type,
'#sk4': $i > $i > $o ).
thf('#sk76_type',type,
'#sk76': ( $i > $i > $o ) > $i ).
thf('#sk102_type',type,
'#sk102': ( $i > $i > $o ) > $i ).
thf('#form75_type',type,
'#form75': ( $i > $i > $o ) > $o ).
thf('#sk44_type',type,
'#sk44': ( $i > $i > $o ) > $i ).
thf('#sk23_type',type,
'#sk23': ( $i > $i > $o ) > $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(cT146A_pme,conjecture,
! [Xr: $i > $i > $o,Xx: $i,Xy: $i] :
( ! [Xp: $i > $i > $o] :
( ( ! [Xu: $i,Xv: $i,Xw: $i] :
( ( ( Xr @ Xv @ Xw )
& ( Xp @ Xu @ Xv ) )
=> ( Xp @ Xu @ Xw ) )
& ! [Xx0: $i,Xy0: $i] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx @ Xy ) )
=> ! [Xp: $i > $i > $o] :
( ( ! [Xx0: $i,Xy0: $i,Xz: $i] :
( ( ( Xp @ Xy0 @ Xz )
& ( Xp @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xz ) )
& ! [Xx0: $i,Xy0: $i] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx @ Xy ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xr: $i > $i > $o,Xx: $i,Xy: $i] :
( ! [Xp: $i > $i > $o] :
( ( ! [Xu: $i,Xv: $i,Xw: $i] :
( ( ( Xr @ Xv @ Xw )
& ( Xp @ Xu @ Xv ) )
=> ( Xp @ Xu @ Xw ) )
& ! [Xx0: $i,Xy0: $i] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx @ Xy ) )
=> ! [Xp: $i > $i > $o] :
( ( ! [Xx0: $i,Xy0: $i,Xz: $i] :
( ( ( Xp @ Xy0 @ Xz )
& ( Xp @ Xx0 @ Xy0 ) )
=> ( Xp @ Xx0 @ Xz ) )
& ! [Xx0: $i,Xy0: $i] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) ) )
=> ( Xp @ Xx @ Xy ) ) ),
inference('cnf.neg',[status(esa)],[cT146A_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( !!
@ ^ [Y3: $i > $i > $o] :
( ( ( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( !!
@ ^ [Y6: $i] :
( ( ( Y0 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) )
& ( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( Y0 @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) )
=> ( !!
@ ^ [Y3: $i > $i > $o] :
( ( ( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( !!
@ ^ [Y6: $i] :
( ( ( Y3 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) )
& ( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( Y0 @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i > $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( ( '#sk1' @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: $i > $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i > $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( ( '#sk1' @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ '#sk2' @ Y0 ) ) )
=> ( !!
@ ^ [Y1: $i > $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ '#sk2' @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( '#sk1' @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk2' @ '#sk3' ) ) )
=> ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk2' @ '#sk3' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( '#sk1' @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk2' @ '#sk3' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
! [X2: $i > $i > $o] :
( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) )
=> ( '#sk4' @ '#sk2' @ '#sk3' ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ '#sk2' @ '#sk3' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
~ ( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) )
=> ( '#sk4' @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
~ ( '#sk4' @ '#sk2' @ '#sk3' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl50,plain,
( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) )
=> $false ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl12]) ).
thf(zip_derived_cl51,plain,
( (~)
@ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl52,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl53,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl6_001,plain,
! [X2: $i > $i > $o] :
( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
=> ( X2 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
! [X2: $i > $i > $o] :
( ~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) )
| ( X2 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
! [X2: $i > $i > $o] :
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( X2 @ Y0 @ Y1 ) )
=> ( X2 @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl16,plain,
! [X2: $i > $i > $o] :
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( X2 @ ( '#sk23' @ X2 ) @ Y0 ) )
=> ( X2 @ ( '#sk23' @ X2 ) @ Y1 ) ) ) )
| ( X2 @ '#sk2' @ '#sk3' )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
! [X2: $i > $i > $o] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ ( '#sk32' @ X2 ) @ Y0 )
& ( X2 @ ( '#sk23' @ X2 ) @ ( '#sk32' @ X2 ) ) )
=> ( X2 @ ( '#sk23' @ X2 ) @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl22,plain,
! [X2: $i > $i > $o] :
( ~ ( ( ( '#sk1' @ ( '#sk32' @ X2 ) @ ( '#sk44' @ X2 ) )
& ( X2 @ ( '#sk23' @ X2 ) @ ( '#sk32' @ X2 ) ) )
=> ( X2 @ ( '#sk23' @ X2 ) @ ( '#sk44' @ X2 ) ) )
| ( X2 @ '#sk2' @ '#sk3' )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl26,plain,
! [X2: $i > $i > $o] :
( ~ ( X2 @ ( '#sk23' @ X2 ) @ ( '#sk44' @ X2 ) )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) )
| ( X2 @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl30,plain,
! [X2: $i > $i > $o] :
( ( '#form75' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl54,plain,
( ~ ( '#form75' @ '#sk4' )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl53,zip_derived_cl30]) ).
thf(zip_derived_cl55,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk4' @ ( '#sk23' @ '#sk4' ) @ Y0 ) )
=> ( '#sk4' @ ( '#sk23' @ '#sk4' ) @ Y1 ) ) ) )
| ~ ( '#form75' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl56,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk1' @ ( '#sk32' @ '#sk4' ) @ Y0 )
& ( '#sk4' @ ( '#sk23' @ '#sk4' ) @ ( '#sk32' @ '#sk4' ) ) )
=> ( '#sk4' @ ( '#sk23' @ '#sk4' ) @ Y0 ) ) )
| ~ ( '#form75' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl57,plain,
( ~ ( ( ( '#sk1' @ ( '#sk32' @ '#sk4' ) @ ( '#sk44' @ '#sk4' ) )
& ( '#sk4' @ ( '#sk23' @ '#sk4' ) @ ( '#sk32' @ '#sk4' ) ) )
=> ( '#sk4' @ ( '#sk23' @ '#sk4' ) @ ( '#sk44' @ '#sk4' ) ) )
| ~ ( '#form75' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl59,plain,
( ~ ( '#sk4' @ ( '#sk23' @ '#sk4' ) @ ( '#sk44' @ '#sk4' ) )
| ~ ( '#form75' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl30_002,plain,
! [X2: $i > $i > $o] :
( ( '#form75' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( X2 @ Y0 @ Y1 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl31,plain,
! [X2: $i > $i > $o] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ ( '#sk76' @ X2 ) @ Y0 )
=> ( X2 @ ( '#sk76' @ X2 ) @ Y0 ) ) )
| ( '#form75' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl36,plain,
! [X2: $i > $i > $o] :
( ~ ( ( '#sk1' @ ( '#sk76' @ X2 ) @ ( '#sk102' @ X2 ) )
=> ( X2 @ ( '#sk76' @ X2 ) @ ( '#sk102' @ X2 ) ) )
| ( '#form75' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl39,plain,
! [X2: $i > $i > $o] :
( ( '#sk1' @ ( '#sk76' @ X2 ) @ ( '#sk102' @ X2 ) )
| ( '#form75' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl11,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk4' @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl18,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk4' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl21,plain,
! [X2: $i,X4: $i] :
( ( '#sk1' @ X2 @ X4 )
=> ( '#sk4' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk4' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl64,plain,
! [X0: $i > $i > $o] :
( ( '#form75' @ X0 )
| ( '#sk4' @ ( '#sk76' @ X0 ) @ ( '#sk102' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl24]) ).
thf(zip_derived_cl40,plain,
! [X2: $i > $i > $o] :
( ~ ( X2 @ ( '#sk76' @ X2 ) @ ( '#sk102' @ X2 ) )
| ( '#form75' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl80,plain,
( ( '#form75' @ '#sk4' )
| ( '#form75' @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl40]) ).
thf(zip_derived_cl89,plain,
'#form75' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl102,plain,
~ ( '#sk4' @ ( '#sk23' @ '#sk4' ) @ ( '#sk44' @ '#sk4' ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl89]) ).
thf(zip_derived_cl58,plain,
( ( ( '#sk1' @ ( '#sk32' @ '#sk4' ) @ ( '#sk44' @ '#sk4' ) )
& ( '#sk4' @ ( '#sk23' @ '#sk4' ) @ ( '#sk32' @ '#sk4' ) ) )
| ~ ( '#form75' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl61,plain,
( ( '#sk4' @ ( '#sk23' @ '#sk4' ) @ ( '#sk32' @ '#sk4' ) )
| ~ ( '#form75' @ '#sk4' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl89_003,plain,
'#form75' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl138,plain,
'#sk4' @ ( '#sk23' @ '#sk4' ) @ ( '#sk32' @ '#sk4' ),
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl89]) ).
thf(zip_derived_cl60,plain,
( ( '#sk1' @ ( '#sk32' @ '#sk4' ) @ ( '#sk44' @ '#sk4' ) )
| ~ ( '#form75' @ '#sk4' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl89_004,plain,
'#form75' @ '#sk4',
inference(simplify,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl103,plain,
'#sk1' @ ( '#sk32' @ '#sk4' ) @ ( '#sk44' @ '#sk4' ),
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl89]) ).
thf(zip_derived_cl24_005,plain,
! [X2: $i,X4: $i] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk4' @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl104,plain,
'#sk4' @ ( '#sk32' @ '#sk4' ) @ ( '#sk44' @ '#sk4' ),
inference('sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl24]) ).
thf(zip_derived_cl14,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk4' @ Y1 @ Y2 )
& ( '#sk4' @ Y0 @ Y1 ) )
=> ( '#sk4' @ Y0 @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl17,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( ( '#sk4' @ Y0 @ Y1 )
& ( '#sk4' @ X2 @ Y0 ) )
=> ( '#sk4' @ X2 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl20,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( ( '#sk4' @ X4 @ Y0 )
& ( '#sk4' @ X2 @ X4 ) )
=> ( '#sk4' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl23,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( ( '#sk4' @ X4 @ X6 )
& ( '#sk4' @ X2 @ X4 ) )
=> ( '#sk4' @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl27,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( ( '#sk4' @ X4 @ X6 )
& ( '#sk4' @ X2 @ X4 ) )
| ( '#sk4' @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl33,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( '#sk4' @ X4 @ X6 )
| ~ ( '#sk4' @ X2 @ X4 )
| ( '#sk4' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl134,plain,
! [X0: $i] :
( ( '#sk4' @ X0 @ ( '#sk44' @ '#sk4' ) )
| ~ ( '#sk4' @ X0 @ ( '#sk32' @ '#sk4' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl33]) ).
thf(zip_derived_cl151,plain,
'#sk4' @ ( '#sk23' @ '#sk4' ) @ ( '#sk44' @ '#sk4' ),
inference('sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl134]) ).
thf(zip_derived_cl153,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV062^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lD0A9GCtf8 true
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 04:34:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.20/0.68 % Total configuration time : 828
% 0.20/0.68 % Estimated wc time : 1656
% 0.20/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.72/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.17/0.93 % Solved by lams/20_acsne_simpl.sh.
% 1.17/0.93 % done 36 iterations in 0.128s
% 1.17/0.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.17/0.93 % SZS output start Refutation
% See solution above
% 1.17/0.93
% 1.17/0.93
% 1.17/0.93 % Terminating...
% 1.32/1.01 % Runner terminated.
% 1.32/1.03 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------