%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU996^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OqlPDi8E7g true
% Computer : n003.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 Oct 2 04:56:58 PM UTC 2025
% Result : Theorem 0.62s 0.92s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 39 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 228 ( 106 equ; 0 cnn)
% Maximal formula atoms : 39 ( 5 avg)
% Number of connectives : 907 ( 13 ~; 0 |; 54 &; 705 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 5 con; 0-2 aty)
% ( 121 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 202 ( 121 ^; 81 !; 0 ?; 202 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk1_type',type,
'#sk1': a > a > a ).
thf('#sk4_type',type,
'#sk4': a ).
thf('#sk5_type',type,
'#sk5': a ).
thf('#sk2_type',type,
'#sk2': a > a > a ).
thf('#sk3_type',type,
'#sk3': a ).
thf(cMODULAR_THM_pme,conjecture,
! [JOIN: a > a > a,MEET: a > a > a] :
( ( ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ Xx @ ( JOIN @ Xy @ Xz ) )
= ( JOIN @ ( MEET @ Xx @ Xy ) @ ( MEET @ Xx @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ Xx @ ( MEET @ Xy @ Xz ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) )
& ! [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 @ Xz )
= Xz )
=> ( ( JOIN @ Xx @ ( MEET @ Xy @ Xz ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ Xz ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [JOIN: a > a > a,MEET: a > a > a] :
( ( ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ Xx @ ( JOIN @ Xy @ Xz ) )
= ( JOIN @ ( MEET @ Xx @ Xy ) @ ( MEET @ Xx @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ Xx @ ( MEET @ Xy @ Xz ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) )
& ! [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 @ Xz )
= Xz )
=> ( ( JOIN @ Xx @ ( MEET @ Xy @ Xz ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ Xz ) ) ) ),
inference('cnf.neg',[status(esa)],[cMODULAR_THM_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > a > a] :
( !!
@ ^ [Y1: a > a > a] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y1 @ Y2 @ ( Y0 @ Y3 @ Y4 ) )
= ( Y0 @ ( Y1 @ Y2 @ Y3 ) @ ( Y1 @ Y2 @ Y4 ) ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ Y2 @ ( Y1 @ Y3 @ Y4 ) )
= ( Y1 @ ( Y0 @ Y2 @ Y3 ) @ ( Y0 @ Y2 @ Y4 ) ) ) ) ) )
& ( !!
@ ^ [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 @ Y4 )
= Y4 )
=> ( ( Y0 @ Y2 @ ( Y1 @ Y3 @ Y4 ) )
= ( Y1 @ ( Y0 @ Y2 @ Y3 ) @ Y4 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a > a > a] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y0 @ Y1 @ ( '#sk1' @ Y2 @ Y3 ) )
= ( '#sk1' @ ( Y0 @ Y1 @ Y2 ) @ ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y1 @ ( Y0 @ Y2 @ Y3 ) )
= ( Y0 @ ( '#sk1' @ Y1 @ Y2 ) @ ( '#sk1' @ Y1 @ Y3 ) ) ) ) ) )
& ( !!
@ ^ [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 @ Y3 )
= Y3 )
=> ( ( '#sk1' @ Y1 @ ( Y0 @ Y2 @ Y3 ) )
= ( Y0 @ ( '#sk1' @ Y1 @ Y2 ) @ Y3 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) )
= ( '#sk1' @ ( '#sk2' @ Y0 @ Y1 ) @ ( '#sk2' @ Y0 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y0 @ ( '#sk2' @ Y1 @ Y2 ) )
= ( '#sk2' @ ( '#sk1' @ Y0 @ Y1 ) @ ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [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 @ Y2 )
= Y2 )
=> ( ( '#sk1' @ Y0 @ ( '#sk2' @ Y1 @ Y2 ) )
= ( '#sk2' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y0 @ Y2 )
= Y2 )
=> ( ( '#sk1' @ Y0 @ ( '#sk2' @ Y1 @ Y2 ) )
= ( '#sk2' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl15,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk1' @ '#sk3' @ Y1 )
= Y1 )
=> ( ( '#sk1' @ '#sk3' @ ( '#sk2' @ Y0 @ Y1 ) )
= ( '#sk2' @ ( '#sk1' @ '#sk3' @ Y0 ) @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl26,plain,
~ ( !!
@ ^ [Y0: a] :
( ( ( '#sk1' @ '#sk3' @ Y0 )
= Y0 )
=> ( ( '#sk1' @ '#sk3' @ ( '#sk2' @ '#sk4' @ Y0 ) )
= ( '#sk2' @ ( '#sk1' @ '#sk3' @ '#sk4' ) @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl37,plain,
~ ( ( ( '#sk1' @ '#sk3' @ '#sk5' )
= '#sk5' )
=> ( ( '#sk1' @ '#sk3' @ ( '#sk2' @ '#sk4' @ '#sk5' ) )
= ( '#sk2' @ ( '#sk1' @ '#sk3' @ '#sk4' ) @ '#sk5' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl46,plain,
( ( '#sk1' @ '#sk3' @ '#sk5' )
= '#sk5' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl52,plain,
( ( '#sk1' @ '#sk3' @ '#sk5' )
= '#sk5' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl3,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) )
= ( '#sk1' @ ( '#sk2' @ Y0 @ Y1 ) @ ( '#sk2' @ Y0 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y0 @ ( '#sk2' @ Y1 @ Y2 ) )
= ( '#sk2' @ ( '#sk1' @ Y0 @ Y1 ) @ ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [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_cl2]) ).
thf(zip_derived_cl10,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
= ( '#sk1' @ Y1 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl21,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
= ( '#sk1' @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl32,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ X2 @ X4 )
= ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl43,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ X2 @ X4 )
= ( '#sk1' @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl95,plain,
( ( '#sk1' @ '#sk5' @ '#sk3' )
= '#sk5' ),
inference('sup+',[status(thm)],[zip_derived_cl52,zip_derived_cl43]) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ ( '#sk1' @ Y0 @ Y1 ) @ Y1 )
= Y1 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl18,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk2' @ ( '#sk1' @ X2 @ Y0 ) @ Y0 )
= Y0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl29,plain,
! [X2: a,X4: a] :
( ( '#sk2' @ ( '#sk1' @ X2 @ X4 ) @ X4 )
= X4 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl40,plain,
! [X2: a,X4: a] :
( ( '#sk2' @ ( '#sk1' @ X2 @ X4 ) @ X4 )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl111,plain,
( ( '#sk2' @ '#sk5' @ '#sk3' )
= '#sk3' ),
inference('sup+',[status(thm)],[zip_derived_cl95,zip_derived_cl40]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) )
= ( '#sk1' @ ( '#sk2' @ Y0 @ Y1 ) @ ( '#sk2' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl16,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ X2 @ ( '#sk1' @ Y0 @ Y1 ) )
= ( '#sk1' @ ( '#sk2' @ X2 @ Y0 ) @ ( '#sk2' @ X2 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl27,plain,
! [X2: a,X4: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk2' @ X2 @ ( '#sk1' @ X4 @ Y0 ) )
= ( '#sk1' @ ( '#sk2' @ X2 @ X4 ) @ ( '#sk2' @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl38,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk2' @ X2 @ ( '#sk1' @ X4 @ X6 ) )
= ( '#sk1' @ ( '#sk2' @ X2 @ X4 ) @ ( '#sk2' @ X2 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl48,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk2' @ X2 @ ( '#sk1' @ X4 @ X6 ) )
= ( '#sk1' @ ( '#sk2' @ X2 @ X4 ) @ ( '#sk2' @ X2 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl126,plain,
! [X0: a] :
( ( '#sk2' @ '#sk5' @ ( '#sk1' @ '#sk3' @ X0 ) )
= ( '#sk1' @ '#sk3' @ ( '#sk2' @ '#sk5' @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl111,zip_derived_cl48]) ).
thf(zip_derived_cl9,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
= ( '#sk2' @ Y1 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl20,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk2' @ X2 @ Y0 )
= ( '#sk2' @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl31,plain,
! [X2: a,X4: a] :
( ( '#sk2' @ X2 @ X4 )
= ( '#sk2' @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl42,plain,
! [X2: a,X4: a] :
( ( '#sk2' @ X2 @ X4 )
= ( '#sk2' @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl47,plain,
( ( '#sk1' @ '#sk3' @ ( '#sk2' @ '#sk4' @ '#sk5' ) )
!= ( '#sk2' @ ( '#sk1' @ '#sk3' @ '#sk4' ) @ '#sk5' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl53,plain,
( ( '#sk1' @ '#sk3' @ ( '#sk2' @ '#sk4' @ '#sk5' ) )
!= ( '#sk2' @ ( '#sk1' @ '#sk3' @ '#sk4' ) @ '#sk5' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl42_001,plain,
! [X2: a,X4: a] :
( ( '#sk2' @ X2 @ X4 )
= ( '#sk2' @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl64,plain,
( ( '#sk1' @ '#sk3' @ ( '#sk2' @ '#sk4' @ '#sk5' ) )
!= ( '#sk2' @ '#sk5' @ ( '#sk1' @ '#sk3' @ '#sk4' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl42]) ).
thf(zip_derived_cl77,plain,
( ( '#sk1' @ '#sk3' @ ( '#sk2' @ '#sk5' @ '#sk4' ) )
!= ( '#sk2' @ '#sk5' @ ( '#sk1' @ '#sk3' @ '#sk4' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl64]) ).
thf(zip_derived_cl215,plain,
( ( '#sk1' @ '#sk3' @ ( '#sk2' @ '#sk5' @ '#sk4' ) )
!= ( '#sk1' @ '#sk3' @ ( '#sk2' @ '#sk5' @ '#sk4' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl77]) ).
thf(zip_derived_cl241,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU996^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OqlPDi8E7g true
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 : Wed Oct 1 16:01:23 EDT 2025
% 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
% 0.59/0.69 % Total configuration time : 828
% 0.59/0.69 % Estimated wc time : 1656
% 0.59/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.60/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.60/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.60/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.62/0.92 % Solved by lams/35_full_unif4.sh.
% 0.62/0.92 % done 56 iterations in 0.096s
% 0.62/0.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.62/0.92 % SZS output start Refutation
% See solution above
% 0.62/0.92
% 0.62/0.92
% 0.62/0.92 % Terminating...
% 0.64/1.00 % Runner terminated.
% 1.89/1.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------