TSTP Solution File: SEV318^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV318^5 : 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.MSlZvlXEr4 true
% Computer : n025.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 20:00:25 EDT 2023
% Result : Theorem 69.10s 9.52s
% Output : Refutation 69.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 57 ( 11 unt; 6 typ; 0 def)
% Number of atoms : 209 ( 2 equ; 0 cnn)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 876 ( 31 ~; 29 |; 44 &; 607 @)
% ( 0 <=>; 77 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 9 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 70 ( 70 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 5 usr; 3 con; 0-2 aty)
% ( 81 !!; 7 ??; 0 @@+; 0 @@-)
% Number of variables : 197 ( 93 ^; 102 !; 2 ?; 197 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#l_lift20869_type',type,
'#l_lift20869': ( a > a ) > a > $o ).
thf('#sk1_type',type,
'#sk1': a > a > $o ).
thf('#sk2_type',type,
'#sk2': ( a > $o ) > a ).
thf('#sk17_type',type,
'#sk17': ( a > $o ) > a > a ).
thf('#sk3_type',type,
'#sk3': a > a ).
thf(cTHM145_B_pme,conjecture,
! [R: a > a > $o,U: ( a > $o ) > a] :
( ( ! [Xs: a > $o] :
( ! [Xz: a] :
( ( Xs @ Xz )
=> ( R @ Xz @ ( U @ Xs ) ) )
& ! [Xz: a] :
( ( Xs @ Xz )
=> ( R @ Xz @ ( U @ Xs ) ) )
& ! [Xj: a] :
( ! [Xk: a] :
( ( Xs @ Xk )
=> ( R @ Xk @ Xj ) )
=> ( R @ ( U @ Xs ) @ Xj ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( R @ Xy @ Xz )
& ( R @ Xx @ Xy ) )
=> ( R @ Xx @ Xz ) ) )
=> ! [Xf: a > a] :
( ( ! [Xx: a,Xy: a] :
( ( R @ Xx @ Xy )
=> ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( R @ Xx @ Xy )
=> ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) )
=> ? [Xw: a] :
( ( R @ Xw @ ( Xf @ Xw ) )
& ( R @ ( Xf @ Xw ) @ Xw ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [R: a > a > $o,U: ( a > $o ) > a] :
( ( ! [Xs: a > $o] :
( ! [Xz: a] :
( ( Xs @ Xz )
=> ( R @ Xz @ ( U @ Xs ) ) )
& ! [Xz: a] :
( ( Xs @ Xz )
=> ( R @ Xz @ ( U @ Xs ) ) )
& ! [Xj: a] :
( ! [Xk: a] :
( ( Xs @ Xk )
=> ( R @ Xk @ Xj ) )
=> ( R @ ( U @ Xs ) @ Xj ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( R @ Xy @ Xz )
& ( R @ Xx @ Xy ) )
=> ( R @ Xx @ Xz ) ) )
=> ! [Xf: a > a] :
( ( ! [Xx: a,Xy: a] :
( ( R @ Xx @ Xy )
=> ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( R @ Xx @ Xy )
=> ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) )
=> ? [Xw: a] :
( ( R @ Xw @ ( Xf @ Xw ) )
& ( R @ ( Xf @ Xw ) @ Xw ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM145_B_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: ( a > $o ) > a] :
( ( ( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( !!
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y0 @ Y4 @ Y3 ) ) )
=> ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y2 @ Y4 ) ) ) ) ) )
=> ( !!
@ ^ [Y2: a > a] :
( ( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) )
=> ( ??
@ ^ [Y3: a] :
( ( Y0 @ Y3 @ ( Y2 @ Y3 ) )
& ( Y0 @ ( Y2 @ Y3 ) @ Y3 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a > a > $o] :
( !!
@ ^ [Y1: ( a > $o ) > a] :
( ( ( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( !!
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y0 @ Y4 @ Y3 ) ) )
=> ( Y0 @ ( Y1 @ Y2 ) @ Y3 ) ) )
& ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y3 @ ( Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y2 @ Y4 ) ) ) ) ) )
=> ( !!
@ ^ [Y2: a > a] :
( ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( Y0 @ ( Y2 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) )
=> ( ??
@ ^ [Y3: a] :
( ( Y0 @ Y3 @ ( Y2 @ Y3 ) )
& ( Y0 @ ( Y2 @ Y3 ) @ Y3 ) ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: ( a > $o ) > a] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( '#sk1' @ Y3 @ Y2 ) ) )
=> ( '#sk1' @ ( Y0 @ Y1 ) @ Y2 ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y2 @ ( Y0 @ Y1 ) ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( '#sk1' @ Y2 @ Y3 )
& ( '#sk1' @ Y1 @ Y2 ) )
=> ( '#sk1' @ Y1 @ Y3 ) ) ) ) ) )
=> ( !!
@ ^ [Y1: a > a] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( '#sk1' @ ( Y1 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( ??
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 @ ( Y1 @ Y2 ) )
& ( '#sk1' @ ( Y1 @ Y2 ) @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( ( ( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( '#sk1' @ Y2 @ Y1 ) ) )
=> ( '#sk1' @ ( '#sk2' @ Y0 ) @ Y1 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ ( '#sk2' @ Y0 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( '#sk1' @ ( Y0 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) )
=> ( ??
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 @ ( Y0 @ Y1 ) )
& ( '#sk1' @ ( Y0 @ Y1 ) @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( '#sk1' @ ( Y0 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) )
=> ( ??
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 @ ( Y0 @ Y1 ) )
& ( '#sk1' @ ( Y0 @ Y1 ) @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ ( '#sk3' @ Y0 ) @ ( '#sk3' @ Y1 ) ) ) ) )
=> ( ??
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 @ ( '#sk3' @ Y0 ) )
& ( '#sk1' @ ( '#sk3' @ Y0 ) @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
~ ( ??
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 @ ( '#sk3' @ Y0 ) )
& ( '#sk1' @ ( '#sk3' @ Y0 ) @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl17,plain,
! [X2: a] :
~ ( ( '#sk1' @ X2 @ ( '#sk3' @ X2 ) )
& ( '#sk1' @ ( '#sk3' @ X2 ) @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl22,plain,
! [X2: a] :
( ~ ( '#sk1' @ X2 @ ( '#sk3' @ X2 ) )
| ~ ( '#sk1' @ ( '#sk3' @ X2 ) @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl4,plain,
( ( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( '#sk1' @ Y2 @ Y1 ) ) )
=> ( '#sk1' @ ( '#sk2' @ Y0 ) @ Y1 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ ( '#sk2' @ Y0 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( '#sk1' @ Y2 @ Y1 ) ) )
=> ( '#sk1' @ ( '#sk2' @ Y0 ) @ Y1 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ ( '#sk2' @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: a > $o] :
( ( !!
@ ^ [Y0: a] :
( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) )
=> ( '#sk1' @ ( '#sk2' @ X2 ) @ Y0 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk1' @ Y0 @ ( '#sk2' @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
! [X2: a > $o] :
( !!
@ ^ [Y0: a] :
( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) )
=> ( '#sk1' @ ( '#sk2' @ X2 ) @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl18,plain,
! [X2: a > $o,X4: a] :
( ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk1' @ Y0 @ X4 ) ) )
=> ( '#sk1' @ ( '#sk2' @ X2 ) @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl23,plain,
! [X2: a > $o,X4: a] :
( ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk1' @ Y0 @ X4 ) ) )
| ( '#sk1' @ ( '#sk2' @ X2 ) @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl27,plain,
! [X2: a > $o,X4: a] :
( ~ ( ( X2 @ ( '#sk17' @ X2 @ X4 ) )
=> ( '#sk1' @ ( '#sk17' @ X2 @ X4 ) @ X4 ) )
| ( '#sk1' @ ( '#sk2' @ X2 ) @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl29,plain,
! [X2: a > $o,X4: a] :
( ( X2 @ ( '#sk17' @ X2 @ X4 ) )
| ( '#sk1' @ ( '#sk2' @ X2 ) @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl14,plain,
! [X2: a > $o] :
( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk1' @ Y0 @ ( '#sk2' @ X2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl19,plain,
! [X2: a > $o,X4: a] :
( ( X2 @ X4 )
=> ( '#sk1' @ X4 @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl24,plain,
! [X2: a > $o,X4: a] :
( ~ ( X2 @ X4 )
| ( '#sk1' @ X4 @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl74,plain,
! [X0: a > a,X1: a > $o] :
( ( X1 @ ( '#sk17' @ X1 @ ( X0 @ ( '#sk2' @ X1 ) ) ) )
| ( '#sk1' @ ( '#sk2' @ X1 )
@ ( '#sk2'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] : Y1
@ Y0 )
@ ( ^ [Y1: a] : ( X0 @ Y1 )
@ Y0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl24]) ).
thf(zip_derived_cl83,plain,
! [X0: a > a,X1: a > $o] :
( ( X1 @ ( '#sk17' @ X1 @ ( X0 @ ( '#sk2' @ X1 ) ) ) )
| ( '#sk1' @ ( '#sk2' @ X1 )
@ ( '#sk2'
@ ^ [Y0: a] : ( '#sk1' @ Y0 @ ( X0 @ Y0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl83_001,plain,
! [X0: a > a,X1: a > $o] :
( ( X1 @ ( '#sk17' @ X1 @ ( X0 @ ( '#sk2' @ X1 ) ) ) )
| ( '#sk1' @ ( '#sk2' @ X1 )
@ ( '#sk2'
@ ^ [Y0: a] : ( '#sk1' @ Y0 @ ( X0 @ Y0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl11454,plain,
! [X0: a > a,X2: a] :
( ( '#l_lift20869' @ X0 @ X2 )
= ( '#sk1' @ X2 @ ( X0 @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl11455,plain,
! [X0: a > a,X1: a > $o] :
( ( X1 @ ( '#sk17' @ X1 @ ( X0 @ ( '#sk2' @ X1 ) ) ) )
| ( '#sk1' @ ( '#sk2' @ X1 ) @ ( '#sk2' @ ( '#l_lift20869' @ X0 ) ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl83,zip_derived_cl11454]) ).
thf(zip_derived_cl30,plain,
! [X2: a > $o,X4: a] :
( ~ ( '#sk1' @ ( '#sk17' @ X2 @ X4 ) @ X4 )
| ( '#sk1' @ ( '#sk2' @ X2 ) @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl29_002,plain,
! [X2: a > $o,X4: a] :
( ( X2 @ ( '#sk17' @ X2 @ X4 ) )
| ( '#sk1' @ ( '#sk2' @ X2 ) @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ X2 @ Y0 ) )
=> ( '#sk1' @ X2 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl15,plain,
! [X2: a,X4: a] :
( !!
@ ^ [Y0: a] :
( ( ( '#sk1' @ X4 @ Y0 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl20,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk1' @ X4 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl25,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( ( '#sk1' @ X4 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
| ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl28,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk1' @ X4 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl56,plain,
! [X0: a,X1: a > $o,X2: a] :
( ( X1 @ ( '#sk17' @ X1 @ X0 ) )
| ( '#sk1' @ X2 @ X0 )
| ~ ( '#sk1' @ X2 @ ( '#sk2' @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl28]) ).
thf(zip_derived_cl29_003,plain,
! [X2: a > $o,X4: a] :
( ( X2 @ ( '#sk17' @ X2 @ X4 ) )
| ( '#sk1' @ ( '#sk2' @ X2 ) @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl11,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ ( '#sk3' @ Y0 ) @ ( '#sk3' @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl16,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk1' @ ( '#sk3' @ X2 ) @ ( '#sk3' @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl21,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ X2 @ X4 )
=> ( '#sk1' @ ( '#sk3' @ X2 ) @ ( '#sk3' @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl26,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ ( '#sk3' @ X2 ) @ ( '#sk3' @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl28_004,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk1' @ X4 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl48,plain,
! [X0: a,X1: a,X2: a] :
( ~ ( '#sk1' @ X1 @ X0 )
| ( '#sk1' @ X2 @ ( '#sk3' @ X0 ) )
| ~ ( '#sk1' @ X2 @ ( '#sk3' @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl28]) ).
thf(zip_derived_cl11454_005,plain,
! [X0: a > a,X2: a] :
( ( '#l_lift20869' @ X0 @ X2 )
= ( '#sk1' @ X2 @ ( X0 @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl29_006,plain,
! [X2: a > $o,X4: a] :
( ( X2 @ ( '#sk17' @ X2 @ X4 ) )
| ( '#sk1' @ ( '#sk2' @ X2 ) @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl22_007,plain,
! [X2: a] :
( ~ ( '#sk1' @ X2 @ ( '#sk3' @ X2 ) )
| ~ ( '#sk1' @ ( '#sk3' @ X2 ) @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl55,plain,
! [X0: a > $o] :
( ( X0 @ ( '#sk17' @ X0 @ ( '#sk3' @ ( '#sk2' @ X0 ) ) ) )
| ~ ( '#sk1' @ ( '#sk3' @ ( '#sk2' @ X0 ) ) @ ( '#sk2' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl22]) ).
thf(zip_derived_cl24_008,plain,
! [X2: a > $o,X4: a] :
( ~ ( X2 @ X4 )
| ( '#sk1' @ X4 @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl26_009,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ ( '#sk3' @ X2 ) @ ( '#sk3' @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl28_010,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk1' @ X4 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl11464,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl22,zip_derived_cl11455,zip_derived_cl30,zip_derived_cl56,zip_derived_cl29,zip_derived_cl48,zip_derived_cl11454,zip_derived_cl55,zip_derived_cl24,zip_derived_cl26,zip_derived_cl28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV318^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MSlZvlXEr4 true
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 02:16:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in HO mode
% 0.19/0.66 % Total configuration time : 828
% 0.19/0.66 % Estimated wc time : 1656
% 0.19/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.19/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.19/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.65/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.65/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 69.10/9.52 % Solved by lams/20_acsne_simpl.sh.
% 69.10/9.52 % done 849 iterations in 8.697s
% 69.10/9.52 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 69.10/9.52 % SZS output start Refutation
% See solution above
% 69.10/9.52
% 69.10/9.52
% 69.10/9.52 % Terminating...
% 69.10/9.60 % Runner terminated.
% 69.13/9.61 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------