TSTP Solution File: SEV001^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV001^5 : 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.vxb7AyJTic 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 19:59:14 EDT 2023
% Result : Theorem 29.91s 4.55s
% Output : Refutation 29.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 62 ( 36 unt; 3 typ; 0 def)
% Number of atoms : 255 ( 119 equ; 0 cnn)
% Maximal formula atoms : 34 ( 4 avg)
% Number of connectives : 982 ( 5 ~; 0 |; 49 &; 781 @)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 2 con; 0-2 aty)
% ( 135 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 271 ( 135 ^; 136 !; 0 ?; 271 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk2_type',type,
'#sk2': a > a > a ).
thf('#sk1_type',type,
'#sk1': a > a > a ).
thf(cDISTRIB_THM_pme,conjecture,
! [JOIN: a > a > a,MEET: a > a > a] :
( ( ! [Xx: a,Xy: a] :
( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a] :
( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a] :
( ( MEET @ Xx @ Xy )
= ( MEET @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ Xx @ Xy )
= ( JOIN @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
= ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
= ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
& ! [Xx: a] :
( ( MEET @ Xx @ Xx )
= Xx )
& ! [Xx: a] :
( ( JOIN @ Xx @ Xx )
= Xx ) )
=> ( ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ Xx @ ( MEET @ Xy @ Xz ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) )
<=> ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ Xx @ ( JOIN @ Xy @ Xz ) )
= ( JOIN @ ( MEET @ Xx @ Xy ) @ ( MEET @ Xx @ Xz ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [JOIN: a > a > a,MEET: a > a > a] :
( ( ! [Xx: a,Xy: a] :
( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a] :
( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a] :
( ( MEET @ Xx @ Xy )
= ( MEET @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ Xx @ Xy )
= ( JOIN @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
= ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
= ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
& ! [Xx: a] :
( ( MEET @ Xx @ Xx )
= Xx )
& ! [Xx: a] :
( ( JOIN @ Xx @ Xx )
= Xx ) )
=> ( ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ Xx @ ( MEET @ Xy @ Xz ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) )
<=> ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ Xx @ ( JOIN @ Xy @ Xz ) )
= ( JOIN @ ( MEET @ Xx @ Xy ) @ ( MEET @ Xx @ Xz ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cDISTRIB_THM_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > a > a] :
( !!
@ ^ [Y1: a > a > a] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ ( Y0 @ Y2 @ Y3 ) @ Y3 )
= Y3 ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y0 @ ( Y1 @ Y2 @ Y3 ) @ Y3 )
= Y3 ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
= ( Y1 @ Y3 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
= ( Y0 @ Y3 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y1 @ ( Y1 @ Y2 @ Y3 ) @ Y4 )
= ( Y1 @ Y2 @ ( Y1 @ Y3 @ Y4 ) ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ ( Y0 @ Y2 @ Y3 ) @ Y4 )
= ( Y0 @ Y2 @ ( Y0 @ Y3 @ Y4 ) ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 @ Y2 )
= Y2 ) )
& ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y2 )
= Y2 ) ) )
=> ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ Y2 @ ( Y1 @ Y3 @ Y4 ) )
= ( Y1 @ ( Y0 @ Y2 @ Y3 ) @ ( Y0 @ Y2 @ Y4 ) ) ) ) ) )
<=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y1 @ Y2 @ ( Y0 @ Y3 @ Y4 ) )
= ( Y0 @ ( Y1 @ Y2 @ Y3 ) @ ( Y1 @ Y2 @ Y4 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: a > a > a] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( Y0 @ ( '#sk1' @ Y1 @ Y2 ) @ Y2 )
= Y2 ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ ( Y0 @ Y1 @ Y2 ) @ Y2 )
= Y2 ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( Y0 @ Y1 @ Y2 )
= ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
= ( '#sk1' @ Y2 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y0 @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
= ( Y0 @ Y1 @ ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ ( '#sk1' @ Y1 @ Y2 ) @ Y3 )
= ( '#sk1' @ Y1 @ ( '#sk1' @ Y2 @ Y3 ) ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 @ Y1 )
= Y1 ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 @ Y1 )
= Y1 ) ) )
=> ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y1 @ ( Y0 @ Y2 @ Y3 ) )
= ( Y0 @ ( '#sk1' @ Y1 @ Y2 ) @ ( '#sk1' @ Y1 @ Y3 ) ) ) ) ) )
<=> ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y0 @ Y1 @ ( '#sk1' @ Y2 @ Y3 ) )
= ( '#sk1' @ ( Y0 @ Y1 @ Y2 ) @ ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
~ ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ ( '#sk1' @ Y0 @ Y1 ) @ Y1 )
= Y1 ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ ( '#sk2' @ Y0 @ Y1 ) @ Y1 )
= Y1 ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
= ( '#sk2' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
= ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ ( '#sk2' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk2' @ Y0 @ ( '#sk2' @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 @ Y0 )
= Y0 ) ) )
=> ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y0 @ ( '#sk2' @ Y1 @ Y2 ) )
= ( '#sk2' @ ( '#sk1' @ Y0 @ Y1 ) @ ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) )
<=> ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) )
= ( '#sk1' @ ( '#sk2' @ Y0 @ Y1 ) @ ( '#sk2' @ Y0 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ ( '#sk1' @ Y0 @ Y1 ) @ Y1 )
= Y1 ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ ( '#sk2' @ Y0 @ Y1 ) @ Y1 )
= Y1 ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
= ( '#sk2' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
= ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ ( '#sk2' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk2' @ Y0 @ ( '#sk2' @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 @ Y0 )
= Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 @ Y0 )
= Y0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl28,plain,
! [X2: a] :
( ( '#sk2' @ X2 @ X2 )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl60,plain,
! [X2: a] :
( ( '#sk2' @ X2 @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl11,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ ( '#sk2' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk2' @ Y0 @ ( '#sk2' @ Y1 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl26,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ ( '#sk2' @ X2 @ Y0 ) @ Y1 )
= ( '#sk2' @ X2 @ ( '#sk2' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl58,plain,
! [X2: a,X4: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk2' @ ( '#sk2' @ X2 @ X4 ) @ Y0 )
= ( '#sk2' @ X2 @ ( '#sk2' @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl129,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk2' @ ( '#sk2' @ X2 @ X4 ) @ X6 )
= ( '#sk2' @ X2 @ ( '#sk2' @ X4 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl287,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk2' @ ( '#sk2' @ X2 @ X4 ) @ X6 )
= ( '#sk2' @ X2 @ ( '#sk2' @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl129]) ).
thf(zip_derived_cl1318,plain,
! [X0: a,X1: a] :
( ( '#sk2' @ X0 @ X1 )
= ( '#sk2' @ X0 @ ( '#sk2' @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl60,zip_derived_cl287]) ).
thf(zip_derived_cl9,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
= ( '#sk2' @ Y1 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl24,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk2' @ X2 @ Y0 )
= ( '#sk2' @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl56,plain,
! [X2: a,X4: a] :
( ( '#sk2' @ X2 @ X4 )
= ( '#sk2' @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl127,plain,
! [X2: a,X4: a] :
( ( '#sk2' @ X2 @ X4 )
= ( '#sk2' @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl287_001,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk2' @ ( '#sk2' @ X2 @ X4 ) @ X6 )
= ( '#sk2' @ X2 @ ( '#sk2' @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl129]) ).
thf(zip_derived_cl1316,plain,
! [X0: a,X1: a,X2: a] :
( ( '#sk2' @ ( '#sk2' @ X1 @ X0 ) @ X2 )
= ( '#sk2' @ X0 @ ( '#sk2' @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl127,zip_derived_cl287]) ).
thf(zip_derived_cl287_002,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk2' @ ( '#sk2' @ X2 @ X4 ) @ X6 )
= ( '#sk2' @ X2 @ ( '#sk2' @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl129]) ).
thf(zip_derived_cl127_003,plain,
! [X2: a,X4: a] :
( ( '#sk2' @ X2 @ X4 )
= ( '#sk2' @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl1311,plain,
! [X0: a,X1: a,X2: a] :
( ( '#sk2' @ X2 @ ( '#sk2' @ X1 @ X0 ) )
= ( '#sk2' @ X0 @ ( '#sk2' @ X2 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl287,zip_derived_cl127]) ).
thf(zip_derived_cl287_004,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk2' @ ( '#sk2' @ X2 @ X4 ) @ X6 )
= ( '#sk2' @ X2 @ ( '#sk2' @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl129]) ).
thf(zip_derived_cl60_005,plain,
! [X2: a] :
( ( '#sk2' @ X2 @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl1313,plain,
! [X0: a,X1: a] :
( ( '#sk2' @ X1 @ ( '#sk2' @ X0 @ ( '#sk2' @ X1 @ X0 ) ) )
= ( '#sk2' @ X1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl287,zip_derived_cl60]) ).
thf(zip_derived_cl14,plain,
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 @ Y0 )
= Y0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl29,plain,
! [X2: a] :
( ( '#sk1' @ X2 @ X2 )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl61,plain,
! [X2: a] :
( ( '#sk1' @ X2 @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl12,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl27,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ ( '#sk1' @ X2 @ Y0 ) @ Y1 )
= ( '#sk1' @ X2 @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl59,plain,
! [X2: a,X4: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ ( '#sk1' @ X2 @ X4 ) @ Y0 )
= ( '#sk1' @ X2 @ ( '#sk1' @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl130,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk1' @ ( '#sk1' @ X2 @ X4 ) @ X6 )
= ( '#sk1' @ X2 @ ( '#sk1' @ X4 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl288,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk1' @ ( '#sk1' @ X2 @ X4 ) @ X6 )
= ( '#sk1' @ X2 @ ( '#sk1' @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl1410,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( '#sk1' @ X0 @ ( '#sk1' @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl61,zip_derived_cl288]) ).
thf(zip_derived_cl10,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
= ( '#sk1' @ Y1 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl25,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
= ( '#sk1' @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl57,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ X2 @ X4 )
= ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl128,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ X2 @ X4 )
= ( '#sk1' @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl288_006,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk1' @ ( '#sk1' @ X2 @ X4 ) @ X6 )
= ( '#sk1' @ X2 @ ( '#sk1' @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl1408,plain,
! [X0: a,X1: a,X2: a] :
( ( '#sk1' @ ( '#sk1' @ X1 @ X0 ) @ X2 )
= ( '#sk1' @ X0 @ ( '#sk1' @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl128,zip_derived_cl288]) ).
thf(zip_derived_cl288_007,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk1' @ ( '#sk1' @ X2 @ X4 ) @ X6 )
= ( '#sk1' @ X2 @ ( '#sk1' @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl128_008,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ X2 @ X4 )
= ( '#sk1' @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl1403,plain,
! [X0: a,X1: a,X2: a] :
( ( '#sk1' @ X2 @ ( '#sk1' @ X1 @ X0 ) )
= ( '#sk1' @ X0 @ ( '#sk1' @ X2 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl288,zip_derived_cl128]) ).
thf(zip_derived_cl127_009,plain,
! [X2: a,X4: a] :
( ( '#sk2' @ X2 @ X4 )
= ( '#sk2' @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ ( '#sk1' @ Y0 @ Y1 ) @ Y1 )
= Y1 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl22,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk2' @ ( '#sk1' @ X2 @ Y0 ) @ Y0 )
= Y0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl54,plain,
! [X2: a,X4: a] :
( ( '#sk2' @ ( '#sk1' @ X2 @ X4 ) @ X4 )
= X4 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl125,plain,
! [X2: a,X4: a] :
( ( '#sk2' @ ( '#sk1' @ X2 @ X4 ) @ X4 )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl1226,plain,
! [X0: a,X1: a] :
( ( '#sk2' @ X0 @ ( '#sk1' @ X1 @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl127,zip_derived_cl125]) ).
thf(zip_derived_cl127_010,plain,
! [X2: a,X4: a] :
( ( '#sk2' @ X2 @ X4 )
= ( '#sk2' @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ ( '#sk2' @ Y0 @ Y1 ) @ Y1 )
= Y1 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl23,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ ( '#sk2' @ X2 @ Y0 ) @ Y0 )
= Y0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl55,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ ( '#sk2' @ X2 @ X4 ) @ X4 )
= X4 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl126,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ ( '#sk2' @ X2 @ X4 ) @ X4 )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl1227,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ ( '#sk2' @ X1 @ X0 ) @ X1 )
= X1 ),
inference('sup+',[status(thm)],[zip_derived_cl127,zip_derived_cl126]) ).
thf(zip_derived_cl0_011,plain,
~ ( !!
@ ^ [Y0: a > a > a] :
( !!
@ ^ [Y1: a > a > a] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ ( Y0 @ Y2 @ Y3 ) @ Y3 )
= Y3 ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y0 @ ( Y1 @ Y2 @ Y3 ) @ Y3 )
= Y3 ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
= ( Y1 @ Y3 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
= ( Y0 @ Y3 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y1 @ ( Y1 @ Y2 @ Y3 ) @ Y4 )
= ( Y1 @ Y2 @ ( Y1 @ Y3 @ Y4 ) ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ ( Y0 @ Y2 @ Y3 ) @ Y4 )
= ( Y0 @ Y2 @ ( Y0 @ Y3 @ Y4 ) ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 @ Y2 )
= Y2 ) )
& ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y2 )
= Y2 ) ) )
=> ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ Y2 @ ( Y1 @ Y3 @ Y4 ) )
= ( Y1 @ ( Y0 @ Y2 @ Y3 ) @ ( Y0 @ Y2 @ Y4 ) ) ) ) ) )
<=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y1 @ Y2 @ ( Y0 @ Y3 @ Y4 ) )
= ( Y0 @ ( Y1 @ Y2 @ Y3 ) @ ( Y1 @ Y2 @ Y4 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3765,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl1318,zip_derived_cl1316,zip_derived_cl1311,zip_derived_cl1313,zip_derived_cl1410,zip_derived_cl1408,zip_derived_cl1403,zip_derived_cl1226,zip_derived_cl1227,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV001^5 : 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.vxb7AyJTic true
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 02:19:24 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.37 % Running in HO mode
% 0.23/0.66 % Total configuration time : 828
% 0.23/0.66 % Estimated wc time : 1656
% 0.23/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.23/0.83 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.23/0.84 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 29.91/4.55 % Solved by lams/15_e_short1.sh.
% 29.91/4.55 % done 484 iterations in 3.710s
% 29.91/4.55 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 29.91/4.55 % SZS output start Refutation
% See solution above
% 29.91/4.55
% 29.91/4.55
% 29.91/4.55 % Terminating...
% 29.91/4.70 % Runner terminated.
% 29.91/4.71 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------