TSTP Solution File: SYO542^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO542^1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7thWJ2ow1a true
% Computer : n002.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 : Fri Sep 1 05:52:00 EDT 2023
% Result : Theorem 1.47s 0.90s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 54 ( 14 unt; 9 typ; 0 def)
% Number of atoms : 400 ( 189 equ; 62 cnn)
% Maximal formula atoms : 11 ( 8 avg)
% Number of connectives : 551 ( 108 ~; 110 |; 138 &; 180 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 116 ( 116 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 9 usr; 8 con; 0-4 aty)
% ( 7 !!; 4 ??; 0 @@+; 0 @@-)
% Number of variables : 109 ( 74 ^; 34 !; 1 ?; 109 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk8_type',type,
'#sk8': $i > $i ).
thf('#_fresh_sk11_type',type,
'#_fresh_sk11': $i ).
thf(epsii_type,type,
epsii: ( ( $i > $i ) > $o ) > $i > $i ).
thf('#_fresh_sk25_type',type,
'#_fresh_sk25': ( $i > $i ) > $i ).
thf('#sk9_type',type,
'#sk9': $i > $i ).
thf('#sk7_type',type,
'#sk7': $o ).
thf(if_type,type,
if: $o > ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf('#_fresh_sk17_type',type,
'#_fresh_sk17': ( $i > $i ) > $i ).
thf('#_fresh_sk10_type',type,
'#_fresh_sk10': $i ).
thf(ifd,axiom,
( if
= ( ^ [B: $o,X: $i > $i,Y: $i > $i] :
( epsii
@ ^ [Z: $i > $i] :
( ( B
& ( Z = X ) )
| ( ~ B
& ( Z = Y ) ) ) ) ) ) ).
thf('0',plain,
( if
= ( ^ [B: $o,X: $i > $i,Y: $i > $i] :
( epsii
@ ^ [Z: $i > $i] :
( ( B
& ( Z = X ) )
| ( ~ B
& ( Z = Y ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ifd]) ).
thf('1',plain,
( if
= ( ^ [V_1: $o,V_2: $i > $i,V_3: $i > $i] :
( epsii
@ ^ [V_4: $i > $i] :
( ( V_1
& ( V_4 = V_2 ) )
| ( ~ V_1
& ( V_4 = V_3 ) ) ) ) ) ),
define([status(thm)]) ).
thf(conj,conjecture,
! [B: $o,X: $i > $i,Y: $i > $i] :
( ( ( if @ B @ X @ Y )
= Y )
| ( ( if @ B @ X @ Y )
= X ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $o,X6: $i > $i,X8: $i > $i] :
( ( ( epsii
@ ^ [V_2: $i > $i] :
( ( ( V_2 = X8 )
& ~ X4 )
| ( ( V_2 = X6 )
& X4 ) ) )
= X6 )
| ( ( epsii
@ ^ [V_1: $i > $i] :
( ( ( V_1 = X8 )
& ~ X4 )
| ( ( V_1 = X6 )
& X4 ) ) )
= X8 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $o,X6: $i > $i,X8: $i > $i] :
( ( ( epsii
@ ^ [V_2: $i > $i] :
( ( ( V_2 = X8 )
& ~ X4 )
| ( ( V_2 = X6 )
& X4 ) ) )
= X6 )
| ( ( epsii
@ ^ [V_1: $i > $i] :
( ( ( V_1 = X8 )
& ~ X4 )
| ( ( V_1 = X6 )
& X4 ) ) )
= X8 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $o] :
( !!
@ ^ [Y1: $i > $i] :
( !!
@ ^ [Y2: $i > $i] :
( ( ( epsii
@ ^ [Y3: $i > $i] :
( ( ( Y3 = Y2 )
& ( (~) @ Y0 ) )
| ( ( Y3 = Y1 )
& Y0 ) ) )
= Y1 )
| ( ( epsii
@ ^ [Y3: $i > $i] :
( ( ( Y3 = Y2 )
& ( (~) @ Y0 ) )
| ( ( Y3 = Y1 )
& Y0 ) ) )
= Y2 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: $i > $i] :
( !!
@ ^ [Y1: $i > $i] :
( ( ( epsii
@ ^ [Y2: $i > $i] :
( ( ( Y2 = Y1 )
& ( (~) @ '#sk7' ) )
| ( ( Y2 = Y0 )
& '#sk7' ) ) )
= Y0 )
| ( ( epsii
@ ^ [Y2: $i > $i] :
( ( ( Y2 = Y1 )
& ( (~) @ '#sk7' ) )
| ( ( Y2 = Y0 )
& '#sk7' ) ) )
= Y1 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
~ ( !!
@ ^ [Y0: $i > $i] :
( ( ( epsii
@ ^ [Y1: $i > $i] :
( ( ( Y1 = Y0 )
& ( (~) @ '#sk7' ) )
| ( ( Y1 = '#sk8' )
& '#sk7' ) ) )
= '#sk8' )
| ( ( epsii
@ ^ [Y1: $i > $i] :
( ( ( Y1 = Y0 )
& ( (~) @ '#sk7' ) )
| ( ( Y1 = '#sk8' )
& '#sk7' ) ) )
= Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl7,plain,
~ ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk8' )
| ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk9' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
!= '#sk8' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl10,plain,
( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
!= '#sk8' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl11,plain,
( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) )
@ '#_fresh_sk10' )
!= ( '#sk8' @ '#_fresh_sk10' ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl10]) ).
thf(choiceaxii,axiom,
! [P: ( $i > $i ) > $o] :
( ? [X: $i > $i] : ( P @ X )
=> ( P @ ( epsii @ P ) ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: ( $i > $i ) > $o] :
( ( ??
@ ^ [Y1: $i > $i] : ( Y0 @ Y1 ) )
=> ( Y0 @ ( epsii @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[choiceaxii]) ).
thf(zip_derived_cl2,plain,
! [X2: ( $i > $i ) > $o] :
( ( ??
@ ^ [Y0: $i > $i] : ( X2 @ Y0 ) )
=> ( X2 @ ( epsii @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl14,plain,
( ( ??
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
=> ( ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk8' )
& '#sk7' ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl15,plain,
( ~ ( ??
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk8' )
& '#sk7' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl16,plain,
! [X2: $i > $i] :
( ~ ( ( ( X2 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( X2 = '#sk8' )
& '#sk7' ) )
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk8' )
& '#sk7' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl18,plain,
! [X2: $i > $i] :
( ~ ( ( X2 = '#sk8' )
& '#sk7' )
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk8' )
& '#sk7' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl20,plain,
! [X2: $i > $i] :
( ( X2 != '#sk8' )
| ~ '#sk7'
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk8' )
& '#sk7' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl27,plain,
! [X2: $i > $i] :
( ( X2 != '#sk8' )
| ~ '#sk7'
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk9' )
& ( (~) @ $true ) )
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk8' )
& $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl28,plain,
! [X2: $i > $i] :
( ( X2 != '#sk8' )
| ~ '#sk7'
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk9' )
& ( (~) @ $true ) )
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk8' )
& $true ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl29,plain,
! [X2: $i > $i] :
( ( X2 != '#sk8' )
| ~ '#sk7'
| ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk8' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl30,plain,
! [X2: $i > $i] :
( ( X2 != '#sk8' )
| ~ '#sk7'
| ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk8' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl31,plain,
! [X2: $i > $i] :
( ( ( X2 @ ( '#_fresh_sk25' @ X2 ) )
!= ( '#sk8' @ ( '#_fresh_sk25' @ X2 ) ) )
| ~ '#sk7'
| ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk8' ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl32,plain,
! [X2: $i > $i,X4: $i] :
( ( ( X2 @ ( '#_fresh_sk25' @ X2 ) )
!= ( '#sk8' @ ( '#_fresh_sk25' @ X2 ) ) )
| ~ '#sk7'
| ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) )
@ X4 )
= ( '#sk8' @ X4 ) ) ),
inference(arg_cong_simpl,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl17,plain,
! [X2: $i > $i] :
( ~ ( ( X2 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk8' )
& '#sk7' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl19,plain,
! [X2: $i > $i] :
( ( X2 != '#sk9' )
| '#sk7'
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk8' )
& '#sk7' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl21,plain,
! [X2: $i > $i] :
( ( X2 != '#sk9' )
| '#sk7'
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk9' )
& ( (~) @ $false ) )
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk8' )
& $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl22,plain,
! [X2: $i > $i] :
( ( X2 != '#sk9' )
| '#sk7'
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk9' )
& ( (~) @ $false ) )
| ( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk8' )
& $false ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl23,plain,
! [X2: $i > $i] :
( ( X2 != '#sk9' )
| '#sk7'
| ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk9' ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl24,plain,
! [X2: $i > $i] :
( ( X2 != '#sk9' )
| '#sk7'
| ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk9' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl25,plain,
! [X2: $i > $i] :
( ( ( X2 @ ( '#_fresh_sk17' @ X2 ) )
!= ( '#sk9' @ ( '#_fresh_sk17' @ X2 ) ) )
| '#sk7'
| ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
= '#sk9' ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl26,plain,
! [X2: $i > $i,X4: $i] :
( ( ( X2 @ ( '#_fresh_sk17' @ X2 ) )
!= ( '#sk9' @ ( '#_fresh_sk17' @ X2 ) ) )
| '#sk7'
| ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) )
@ X4 )
= ( '#sk9' @ X4 ) ) ),
inference(arg_cong_simpl,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) )
@ X0 )
= ( '#sk9' @ X0 ) )
| '#sk7' ),
inference(eq_res,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl9,plain,
( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
!= '#sk9' ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl12,plain,
( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) ) )
!= '#sk9' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl13,plain,
( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) )
@ '#_fresh_sk11' )
!= ( '#sk9' @ '#_fresh_sk11' ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl51,plain,
( ( ( '#sk9' @ '#_fresh_sk11' )
!= ( '#sk9' @ '#_fresh_sk11' ) )
| '#sk7' ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl13]) ).
thf(zip_derived_cl52,plain,
'#sk7',
inference(simplify,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl53,plain,
! [X2: $i > $i,X4: $i] :
( ( ( X2 @ ( '#_fresh_sk25' @ X2 ) )
!= ( '#sk8' @ ( '#_fresh_sk25' @ X2 ) ) )
| ( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) )
@ X4 )
= ( '#sk8' @ X4 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl52]) ).
thf(zip_derived_cl59,plain,
! [X0: $i] :
( ( epsii
@ ^ [Y0: $i > $i] :
( ( ( Y0 = '#sk9' )
& ( (~) @ '#sk7' ) )
| ( ( Y0 = '#sk8' )
& '#sk7' ) )
@ X0 )
= ( '#sk8' @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl63,plain,
( ( '#sk8' @ '#_fresh_sk10' )
!= ( '#sk8' @ '#_fresh_sk10' ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl59]) ).
thf(zip_derived_cl64,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO542^1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7thWJ2ow1a true
% 0.13/0.34 % Computer : n002.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 : Sat Aug 26 07:25:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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
% 0.21/0.64 % Total configuration time : 828
% 0.21/0.64 % Estimated wc time : 1656
% 0.21/0.64 % Estimated cpu time (8 cpus) : 207.0
% 1.09/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.09/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.09/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.09/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.09/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.09/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.09/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.09/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.47/0.90 % Solved by lams/20_acsne_simpl.sh.
% 1.47/0.90 % done 14 iterations in 0.046s
% 1.47/0.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.47/0.90 % SZS output start Refutation
% See solution above
% 1.47/0.90
% 1.47/0.90
% 1.47/0.90 % Terminating...
% 1.47/0.96 % Runner terminated.
% 1.47/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------