TSTP Solution File: SEV019^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV019^5 : 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.LmXsNuI5zS true
% Computer : n008.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 19:59:18 EDT 2023
% Result : Theorem 1.17s 0.83s
% Output : Refutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 10
% Syntax : Number of formulae : 107 ( 30 unt; 9 typ; 0 def)
% Number of atoms : 358 ( 20 equ; 0 cnn)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 949 ( 97 ~; 88 |; 29 &; 612 @)
% ( 10 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 8 usr; 9 con; 0-2 aty)
% ( 67 !!; 7 ??; 0 @@+; 0 @@-)
% Number of variables : 172 ( 74 ^; 94 !; 4 ?; 172 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk3_type',type,
'#sk3': a ).
thf('#sk2_type',type,
'#sk2': a ).
thf('#sk5_type',type,
'#sk5': a ).
thf('#sk8_type',type,
'#sk8': a ).
thf('#sk6_type',type,
'#sk6': a ).
thf(cQ_type,type,
cQ: a > a > $o ).
thf('#sk7_type',type,
'#sk7': a ).
thf('#sk1_type',type,
'#sk1': a > a > $o ).
thf(cTHM559_pme,conjecture,
( ! [Xx: a] :
? [Xp: a > $o] :
( ? [Xz: a] : ( Xp @ Xz )
& ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ! [Xy: a] :
( ( Xp @ Xy )
<=> ( cQ @ Xx0 @ Xy ) ) )
& ( Xp @ Xx ) )
=> ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( cQ @ Xy @ Xz )
& ( cQ @ Xx @ Xy ) )
=> ( cQ @ Xx @ Xz ) )
& ! [Xx: a,Xy: a] :
( ( cQ @ Xx @ Xy )
=> ( cQ @ Xy @ Xx ) )
& ! [Xx: a] : ( cQ @ Xx @ Xx ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [Xx: a] :
? [Xp: a > $o] :
( ? [Xz: a] : ( Xp @ Xz )
& ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ! [Xy: a] :
( ( Xp @ Xy )
<=> ( cQ @ Xx0 @ Xy ) ) )
& ( Xp @ Xx ) )
=> ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( cQ @ Xy @ Xz )
& ( cQ @ Xx @ Xy ) )
=> ( cQ @ Xx @ Xz ) )
& ! [Xx: a,Xy: a] :
( ( cQ @ Xx @ Xy )
=> ( cQ @ Xy @ Xx ) )
& ! [Xx: a] : ( cQ @ Xx @ Xx ) ) ),
inference('cnf.neg',[status(esa)],[cTHM559_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( ??
@ ^ [Y2: a] : ( Y1 @ Y2 ) )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
<=> ( cQ @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ Y0 ) ) ) )
=> ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( cQ @ Y1 @ Y2 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( ??
@ ^ [Y2: a] : ( Y1 @ Y2 ) )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
<=> ( cQ @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: a] :
( ??
@ ^ [Y0: a > $o] :
( ( ??
@ ^ [Y1: a] : ( Y0 @ Y1 ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
<=> ( cQ @ Y1 @ Y2 ) ) ) ) )
& ( Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
! [X2: a] :
( ( ??
@ ^ [Y0: a] : ( '#sk1' @ X2 @ Y0 ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ X2 @ Y1 )
<=> ( cQ @ Y0 @ Y1 ) ) ) ) )
& ( '#sk1' @ X2 @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ X2 @ Y1 )
<=> ( cQ @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ X2 @ X4 )
=> ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
<=> ( cQ @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl14,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
<=> ( cQ @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl17,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk1' @ X2 @ X6 )
<=> ( cQ @ X4 @ X6 ) )
| ~ ( '#sk1' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl21,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk1' @ X2 @ X6 )
= ( cQ @ X4 @ X6 ) )
| ~ ( '#sk1' @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl40,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk1' @ X2 @ X6 )
| ( cQ @ X4 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl131,plain,
! [X0: a,X1: a] :
( ~ ( '#sk1' @ X0 @ X1 )
| ( cQ @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl40]) ).
thf(zip_derived_cl9_001,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl21_002,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk1' @ X2 @ X6 )
= ( cQ @ X4 @ X6 ) )
| ~ ( '#sk1' @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl38,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl21]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( cQ @ Y1 @ Y2 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( cQ @ Y1 @ Y2 )
& ( cQ @ Y0 @ Y1 ) )
=> ( cQ @ Y0 @ Y2 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
( ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( cQ @ Y0 @ Y1 )
& ( cQ @ '#sk2' @ Y0 ) )
=> ( cQ @ '#sk2' @ Y1 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ( cQ @ '#sk3' @ Y0 )
& ( cQ @ '#sk2' @ '#sk3' ) )
=> ( cQ @ '#sk2' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
( ~ ( ( ( cQ @ '#sk3' @ '#sk5' )
& ( cQ @ '#sk2' @ '#sk3' ) )
=> ( cQ @ '#sk2' @ '#sk5' ) )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl16,plain,
( ~ ( cQ @ '#sk2' @ '#sk5' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl20,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( cQ @ '#sk6' @ Y0 )
=> ( cQ @ Y0 @ '#sk6' ) ) )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
| ~ ( cQ @ '#sk2' @ '#sk5' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl24,plain,
( ~ ( ( cQ @ '#sk6' @ '#sk8' )
=> ( cQ @ '#sk8' @ '#sk6' ) )
| ~ ( cQ @ '#sk2' @ '#sk5' )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl28,plain,
( ~ ( cQ @ '#sk8' @ '#sk6' )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
| ~ ( cQ @ '#sk2' @ '#sk5' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl32,plain,
( ~ ( cQ @ '#sk7' @ '#sk7' )
| ~ ( cQ @ '#sk2' @ '#sk5' )
| ~ ( cQ @ '#sk8' @ '#sk6' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl52,plain,
( ~ ( '#sk1' @ '#sk7' @ '#sk7' )
| ~ ( cQ @ '#sk8' @ '#sk6' )
| ~ ( cQ @ '#sk2' @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl32]) ).
thf(zip_derived_cl9_003,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl66,plain,
( ~ ( cQ @ '#sk8' @ '#sk6' )
| ~ ( cQ @ '#sk2' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl9]) ).
thf(zip_derived_cl283,plain,
( ~ ( '#sk1' @ '#sk6' @ '#sk8' )
| ~ ( cQ @ '#sk2' @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl66]) ).
thf(zip_derived_cl38_004,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl21]) ).
thf(zip_derived_cl55,plain,
! [X0: a,X1: a] :
( ~ ( '#sk1' @ X0 @ X1 )
| ( cQ @ X0 @ X1 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl308,plain,
( ~ ( '#sk1' @ '#sk6' @ '#sk8' )
| ~ ( '#sk1' @ '#sk2' @ '#sk5' ) ),
inference('sup+',[status(thm)],[zip_derived_cl283,zip_derived_cl55]) ).
thf(zip_derived_cl38_005,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl21]) ).
thf(zip_derived_cl38_006,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl21]) ).
thf(zip_derived_cl27,plain,
( ( cQ @ '#sk6' @ '#sk8' )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
| ~ ( cQ @ '#sk2' @ '#sk5' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl31,plain,
( ~ ( cQ @ '#sk7' @ '#sk7' )
| ~ ( cQ @ '#sk2' @ '#sk5' )
| ( cQ @ '#sk6' @ '#sk8' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl53,plain,
( ~ ( '#sk1' @ '#sk7' @ '#sk7' )
| ( cQ @ '#sk6' @ '#sk8' )
| ~ ( cQ @ '#sk2' @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl31]) ).
thf(zip_derived_cl9_007,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl67,plain,
( ( cQ @ '#sk6' @ '#sk8' )
| ~ ( cQ @ '#sk2' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl9]) ).
thf(zip_derived_cl87,plain,
( ~ ( '#sk1' @ '#sk2' @ '#sk5' )
| ( cQ @ '#sk6' @ '#sk8' ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl67]) ).
thf(zip_derived_cl38_008,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl21]) ).
thf(zip_derived_cl54,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
| ~ ( cQ @ X0 @ X1 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl165,plain,
( ~ ( '#sk1' @ '#sk2' @ '#sk5' )
| ( '#sk1' @ '#sk6' @ '#sk8' ) ),
inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl54]) ).
thf(zip_derived_cl319,plain,
~ ( '#sk1' @ '#sk2' @ '#sk5' ),
inference(clc,[status(thm)],[zip_derived_cl308,zip_derived_cl165]) ).
thf(zip_derived_cl131_009,plain,
! [X0: a,X1: a] :
( ~ ( '#sk1' @ X0 @ X1 )
| ( cQ @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl40]) ).
thf(zip_derived_cl15,plain,
( ( ( cQ @ '#sk3' @ '#sk5' )
& ( cQ @ '#sk2' @ '#sk3' ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
( ( cQ @ '#sk2' @ '#sk3' )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl23,plain,
( ~ ( cQ @ '#sk7' @ '#sk7' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) )
| ( cQ @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl26,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( cQ @ '#sk6' @ Y0 )
=> ( cQ @ Y0 @ '#sk6' ) ) )
| ( cQ @ '#sk2' @ '#sk3' )
| ~ ( cQ @ '#sk7' @ '#sk7' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl30,plain,
( ~ ( ( cQ @ '#sk6' @ '#sk8' )
=> ( cQ @ '#sk8' @ '#sk6' ) )
| ~ ( cQ @ '#sk7' @ '#sk7' )
| ( cQ @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl36,plain,
( ~ ( cQ @ '#sk8' @ '#sk6' )
| ( cQ @ '#sk2' @ '#sk3' )
| ~ ( cQ @ '#sk7' @ '#sk7' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl9_010,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl21_011,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk1' @ X2 @ X6 )
= ( cQ @ X4 @ X6 ) )
| ~ ( '#sk1' @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl42,plain,
! [X0: a,X1: a] :
( ( cQ @ X0 @ X0 )
| ( ( '#sk1' @ X1 @ X0 )
= ( cQ @ X0 @ X0 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl43,plain,
! [X0: a,X1: a] :
( ( cQ @ X0 @ X0 )
| ~ ( '#sk1' @ X1 @ X0 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl94,plain,
! [X0: a] : ( cQ @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl43]) ).
thf(zip_derived_cl100,plain,
( ~ ( cQ @ '#sk8' @ '#sk6' )
| ( cQ @ '#sk2' @ '#sk3' ) ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl94]) ).
thf(zip_derived_cl281,plain,
( ~ ( '#sk1' @ '#sk6' @ '#sk8' )
| ( cQ @ '#sk2' @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl100]) ).
thf(zip_derived_cl38_012,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl21]) ).
thf(zip_derived_cl35,plain,
( ( cQ @ '#sk6' @ '#sk8' )
| ( cQ @ '#sk2' @ '#sk3' )
| ~ ( cQ @ '#sk7' @ '#sk7' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl50,plain,
( ~ ( '#sk1' @ '#sk7' @ '#sk7' )
| ( cQ @ '#sk2' @ '#sk3' )
| ( cQ @ '#sk6' @ '#sk8' ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl35]) ).
thf(zip_derived_cl9_013,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl64,plain,
( ( cQ @ '#sk2' @ '#sk3' )
| ( cQ @ '#sk6' @ '#sk8' ) ),
inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl9]) ).
thf(zip_derived_cl38_014,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl21]) ).
thf(zip_derived_cl110,plain,
( ( '#sk1' @ '#sk6' @ '#sk8' )
| ( cQ @ '#sk2' @ '#sk3' ) ),
inference('sup+',[status(thm)],[zip_derived_cl64,zip_derived_cl38]) ).
thf(zip_derived_cl341,plain,
cQ @ '#sk2' @ '#sk3',
inference(clc,[status(thm)],[zip_derived_cl281,zip_derived_cl110]) ).
thf(zip_derived_cl54_015,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
| ~ ( cQ @ X0 @ X1 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl342,plain,
'#sk1' @ '#sk2' @ '#sk3',
inference('sup-',[status(thm)],[zip_derived_cl341,zip_derived_cl54]) ).
thf(zip_derived_cl21_016,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk1' @ X2 @ X6 )
= ( cQ @ X4 @ X6 ) )
| ~ ( '#sk1' @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl41,plain,
! [X2: a,X4: a] :
( ( ( '#sk1' @ X2 )
= ( cQ @ X4 ) )
| ~ ( '#sk1' @ X2 @ X4 ) ),
inference(ho_ext_pos_general,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl351,plain,
( ( '#sk1' @ '#sk2' )
= ( cQ @ '#sk3' ) ),
inference('sup-',[status(thm)],[zip_derived_cl342,zip_derived_cl41]) ).
thf(zip_derived_cl38_017,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl21]) ).
thf(zip_derived_cl56,plain,
! [X0: a] :
( ( '#sk1' @ X0 )
= ( cQ @ X0 ) ),
inference(ho_ext_pos_general,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl356,plain,
( ( '#sk1' @ '#sk3' )
= ( '#sk1' @ '#sk2' ) ),
inference('sup+',[status(thm)],[zip_derived_cl351,zip_derived_cl56]) ).
thf(zip_derived_cl359,plain,
! [X1: a] :
( ( '#sk1' @ '#sk3' @ X1 )
= ( '#sk1' @ '#sk2' @ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl356]) ).
thf(zip_derived_cl401,plain,
~ ( '#sk1' @ '#sk3' @ '#sk5' ),
inference('sup+',[status(thm)],[zip_derived_cl319,zip_derived_cl359]) ).
thf(zip_derived_cl131_018,plain,
! [X0: a,X1: a] :
( ~ ( '#sk1' @ X0 @ X1 )
| ( cQ @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl40]) ).
thf(zip_derived_cl18,plain,
( ( cQ @ '#sk3' @ '#sk5' )
| ~ ( !!
@ ^ [Y0: a] : ( cQ @ Y0 @ Y0 ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl22,plain,
( ~ ( cQ @ '#sk7' @ '#sk7' )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cQ @ Y0 @ Y1 )
=> ( cQ @ Y1 @ Y0 ) ) ) )
| ( cQ @ '#sk3' @ '#sk5' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl25,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( cQ @ '#sk6' @ Y0 )
=> ( cQ @ Y0 @ '#sk6' ) ) )
| ( cQ @ '#sk3' @ '#sk5' )
| ~ ( cQ @ '#sk7' @ '#sk7' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl29,plain,
( ~ ( ( cQ @ '#sk6' @ '#sk8' )
=> ( cQ @ '#sk8' @ '#sk6' ) )
| ~ ( cQ @ '#sk7' @ '#sk7' )
| ( cQ @ '#sk3' @ '#sk5' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl34,plain,
( ~ ( cQ @ '#sk8' @ '#sk6' )
| ( cQ @ '#sk3' @ '#sk5' )
| ~ ( cQ @ '#sk7' @ '#sk7' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl94_019,plain,
! [X0: a] : ( cQ @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl43]) ).
thf(zip_derived_cl98,plain,
( ~ ( cQ @ '#sk8' @ '#sk6' )
| ( cQ @ '#sk3' @ '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl94]) ).
thf(zip_derived_cl282,plain,
( ~ ( '#sk1' @ '#sk6' @ '#sk8' )
| ( cQ @ '#sk3' @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl98]) ).
thf(zip_derived_cl38_020,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl21]) ).
thf(zip_derived_cl33,plain,
( ( cQ @ '#sk6' @ '#sk8' )
| ( cQ @ '#sk3' @ '#sk5' )
| ~ ( cQ @ '#sk7' @ '#sk7' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl51,plain,
( ~ ( '#sk1' @ '#sk7' @ '#sk7' )
| ( cQ @ '#sk3' @ '#sk5' )
| ( cQ @ '#sk6' @ '#sk8' ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl33]) ).
thf(zip_derived_cl9_021,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl65,plain,
( ( cQ @ '#sk3' @ '#sk5' )
| ( cQ @ '#sk6' @ '#sk8' ) ),
inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl9]) ).
thf(zip_derived_cl38_022,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( cQ @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl21]) ).
thf(zip_derived_cl118,plain,
( ( '#sk1' @ '#sk6' @ '#sk8' )
| ( cQ @ '#sk3' @ '#sk5' ) ),
inference('sup+',[status(thm)],[zip_derived_cl65,zip_derived_cl38]) ).
thf(zip_derived_cl366,plain,
cQ @ '#sk3' @ '#sk5',
inference(clc,[status(thm)],[zip_derived_cl282,zip_derived_cl118]) ).
thf(zip_derived_cl54_023,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
| ~ ( cQ @ X0 @ X1 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl367,plain,
'#sk1' @ '#sk3' @ '#sk5',
inference('sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl54]) ).
thf(zip_derived_cl422,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl401,zip_derived_cl367]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV019^5 : 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.LmXsNuI5zS true
% 0.14/0.35 % Computer : n008.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 : Thu Aug 24 03:30:48 EDT 2023
% 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
% 0.14/0.36 % Running in HO mode
% 0.22/0.64 % Total configuration time : 828
% 0.22/0.64 % Estimated wc time : 1656
% 0.22/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.17/0.82 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.17/0.83 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.17/0.83 % Solved by lams/35_full_unif4.sh.
% 1.17/0.83 % done 146 iterations in 0.080s
% 1.17/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.17/0.83 % SZS output start Refutation
% See solution above
% 1.17/0.84
% 1.17/0.84
% 1.17/0.84 % Terminating...
% 1.55/0.95 % Runner terminated.
% 1.55/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------