TSTP Solution File: SYO555^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO555^1 : 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.bKvuUVz0qz 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 : Fri Sep 1 05:52:03 EDT 2023
% Result : Theorem 1.38s 0.85s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 67 ( 21 unt; 7 typ; 0 def)
% Number of atoms : 619 ( 269 equ; 106 cnn)
% Maximal formula atoms : 11 ( 10 avg)
% Number of connectives : 789 ( 158 ~; 159 |; 232 &; 222 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 7 usr; 8 con; 0-3 aty)
% ( 2 !!; 8 ??; 0 @@+; 0 @@-)
% Number of variables : 158 ( 134 ^; 22 !; 2 ?; 158 :)
% Comments :
%------------------------------------------------------------------------------
thf(if2_type,type,
if2: $o > $i > $i > $i ).
thf(eps1_type,type,
eps1: ( $i > $o ) > $i ).
thf(eps2_type,type,
eps2: ( $i > $o ) > $i ).
thf('#_fresh_sk13_type',type,
'#_fresh_sk13': $i ).
thf(if1_type,type,
if1: $o > $i > $i > $i ).
thf('#_fresh_sk11_type',type,
'#_fresh_sk11': $o ).
thf('#_fresh_sk12_type',type,
'#_fresh_sk12': $i ).
thf(choiceax1,axiom,
! [P: $i > $o] :
( ? [X: $i] : ( P @ X )
=> ( P @ ( eps1 @ P ) ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( Y0 @ ( eps1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[choiceax1]) ).
thf(zip_derived_cl3,plain,
! [X2: $i > $o] :
( ( ??
@ ^ [Y0: $i] : ( X2 @ Y0 ) )
=> ( X2 @ ( eps1 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl12,plain,
( ( ??
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
=> ( ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& '#_fresh_sk11' ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl29,plain,
( ~ ( ??
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& '#_fresh_sk11' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl30,plain,
! [X2: $i] :
( ~ ( ( ( X2 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( X2 = '#_fresh_sk12' )
& '#_fresh_sk11' ) )
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& '#_fresh_sk11' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl31,plain,
! [X2: $i] :
( ~ ( ( X2 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& '#_fresh_sk11' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl33,plain,
! [X2: $i] :
( ( X2 != '#_fresh_sk13' )
| '#_fresh_sk11'
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& '#_fresh_sk11' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl35,plain,
! [X2: $i] :
( ( X2 != '#_fresh_sk13' )
| '#_fresh_sk11'
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ $false ) )
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl36,plain,
! [X2: $i] :
( ( X2 != '#_fresh_sk13' )
| '#_fresh_sk11'
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ $false ) )
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& $false ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl37,plain,
( ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ $false ) )
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& $false )
| '#_fresh_sk11' ),
inference(simplify,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl38,plain,
( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
| '#_fresh_sk11' ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl39,plain,
( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
| '#_fresh_sk11' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl38]) ).
thf(choiceax2,axiom,
! [P: $i > $o] :
( ? [X: $i] : ( P @ X )
=> ( P @ ( eps2 @ P ) ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( Y0 @ ( eps2 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[choiceax2]) ).
thf(zip_derived_cl6,plain,
! [X2: $i > $o] :
( ( ??
@ ^ [Y0: $i] : ( X2 @ Y0 ) )
=> ( X2 @ ( eps2 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl11,plain,
( ( ??
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
=> ( ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& '#_fresh_sk11' ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
( ~ ( ??
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& '#_fresh_sk11' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl14,plain,
! [X2: $i] :
( ~ ( ( ( X2 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( X2 = '#_fresh_sk12' )
& '#_fresh_sk11' ) )
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& '#_fresh_sk11' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl16,plain,
! [X2: $i] :
( ~ ( ( X2 = '#_fresh_sk12' )
& '#_fresh_sk11' )
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& '#_fresh_sk11' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl18,plain,
! [X2: $i] :
( ( X2 != '#_fresh_sk12' )
| ~ '#_fresh_sk11'
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& '#_fresh_sk11' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl24,plain,
! [X2: $i] :
( ( X2 != '#_fresh_sk12' )
| ~ '#_fresh_sk11'
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ $true ) )
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl25,plain,
! [X2: $i] :
( ( X2 != '#_fresh_sk12' )
| ~ '#_fresh_sk11'
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ $true ) )
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& $true ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl26,plain,
( ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ $true ) )
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& $true )
| ~ '#_fresh_sk11' ),
inference(simplify,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl27,plain,
( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
| ~ '#_fresh_sk11' ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl28,plain,
( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
| ~ '#_fresh_sk11' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl27]) ).
thf(if2d,axiom,
( if2
= ( ^ [B: $o,X: $i,Y: $i] :
( eps2
@ ^ [Z: $i] :
( ( B
& ( Z = X ) )
| ( ~ B
& ( Z = Y ) ) ) ) ) ) ).
thf('0',plain,
( if2
= ( ^ [B: $o,X: $i,Y: $i] :
( eps2
@ ^ [Z: $i] :
( ( B
& ( Z = X ) )
| ( ~ B
& ( Z = Y ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[if2d]) ).
thf('1',plain,
( if2
= ( ^ [V_1: $o,V_2: $i,V_3: $i] :
( eps2
@ ^ [V_4: $i] :
( ( V_1
& ( V_4 = V_2 ) )
| ( ~ V_1
& ( V_4 = V_3 ) ) ) ) ) ),
define([status(thm)]) ).
thf(if1d,axiom,
( if1
= ( ^ [B: $o,X: $i,Y: $i] :
( eps1
@ ^ [Z: $i] :
( ( B
& ( Z = X ) )
| ( ~ B
& ( Z = Y ) ) ) ) ) ) ).
thf('2',plain,
( if1
= ( ^ [B: $o,X: $i,Y: $i] :
( eps1
@ ^ [Z: $i] :
( ( B
& ( Z = X ) )
| ( ~ B
& ( Z = Y ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[if1d]) ).
thf('3',plain,
( if1
= ( ^ [V_1: $o,V_2: $i,V_3: $i] :
( eps1
@ ^ [V_4: $i] :
( ( V_1
& ( V_4 = V_2 ) )
| ( ~ V_1
& ( V_4 = V_3 ) ) ) ) ) ),
define([status(thm)]) ).
thf(conj,conjecture,
if1 = if2 ).
thf(zf_stmt_0,conjecture,
( ( ^ [V_1: $o,V_2: $i,V_3: $i] :
( eps1
@ ^ [V_4: $i] :
( ( ( V_4 = V_3 )
& ~ V_1 )
| ( ( V_4 = V_2 )
& V_1 ) ) ) )
= ( ^ [V_5: $o,V_6: $i,V_7: $i] :
( eps2
@ ^ [V_8: $i] :
( ( ( V_8 = V_7 )
& ~ V_5 )
| ( ( V_8 = V_6 )
& V_5 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
( ( ^ [V_1: $o,V_2: $i,V_3: $i] :
( eps1
@ ^ [V_4: $i] :
( ( ( V_4 = V_3 )
& ~ V_1 )
| ( ( V_4 = V_2 )
& V_1 ) ) ) )
!= ( ^ [V_5: $o,V_6: $i,V_7: $i] :
( eps2
@ ^ [V_8: $i] :
( ( ( V_8 = V_7 )
& ~ V_5 )
| ( ( V_8 = V_6 )
& V_5 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
( ( ^ [Y0: $o,Y1: $i,Y2: $i] :
( eps1
@ ^ [Y3: $i] :
( ( ( Y3 = Y2 )
& ( (~) @ Y0 ) )
| ( ( Y3 = Y1 )
& Y0 ) ) ) )
!= ( ^ [Y0: $o,Y1: $i,Y2: $i] :
( eps2
@ ^ [Y3: $i] :
( ( ( Y3 = Y2 )
& ( (~) @ Y0 ) )
| ( ( Y3 = Y1 )
& Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
( ( ^ [Y0: $o,Y1: $i,Y2: $i] :
( eps1
@ ^ [Y3: $i] :
( ( ( Y3 = Y2 )
& ( (~) @ Y0 ) )
| ( ( Y3 = Y1 )
& Y0 ) ) )
@ '#_fresh_sk11'
@ '#_fresh_sk12'
@ '#_fresh_sk13' )
!= ( ^ [Y0: $o,Y1: $i,Y2: $i] :
( eps2
@ ^ [Y3: $i] :
( ( ( Y3 = Y2 )
& ( (~) @ Y0 ) )
| ( ( Y3 = Y1 )
& Y0 ) ) )
@ '#_fresh_sk11'
@ '#_fresh_sk12'
@ '#_fresh_sk13' ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl10,plain,
( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
!= ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl63,plain,
( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
!= '#_fresh_sk12' )
| ~ '#_fresh_sk11' ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl10]) ).
thf(zip_derived_cl32,plain,
! [X2: $i] :
( ~ ( ( X2 = '#_fresh_sk12' )
& '#_fresh_sk11' )
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& '#_fresh_sk11' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl34,plain,
! [X2: $i] :
( ( X2 != '#_fresh_sk12' )
| ~ '#_fresh_sk11'
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& '#_fresh_sk11' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl40,plain,
! [X2: $i] :
( ( X2 != '#_fresh_sk12' )
| ~ '#_fresh_sk11'
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ $true ) )
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& $true ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl41,plain,
! [X2: $i] :
( ( X2 != '#_fresh_sk12' )
| ~ '#_fresh_sk11'
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ $true ) )
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& $true ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl42,plain,
( ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ $true ) )
| ( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& $true )
| ~ '#_fresh_sk11' ),
inference(simplify,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl43,plain,
( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
| ~ '#_fresh_sk11' ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl44,plain,
( ( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
| ~ '#_fresh_sk11' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl65,plain,
~ '#_fresh_sk11',
inference(clc,[status(thm)],[zip_derived_cl63,zip_derived_cl44]) ).
thf(zip_derived_cl67,plain,
( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' ),
inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl65]) ).
thf(zip_derived_cl10_001,plain,
( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
!= ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
! [X2: $i] :
( ~ ( ( X2 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& '#_fresh_sk11' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl17,plain,
! [X2: $i] :
( ( X2 != '#_fresh_sk13' )
| '#_fresh_sk11'
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& '#_fresh_sk11' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl19,plain,
! [X2: $i] :
( ( X2 != '#_fresh_sk13' )
| '#_fresh_sk11'
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ $false ) )
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& $false ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl20,plain,
! [X2: $i] :
( ( X2 != '#_fresh_sk13' )
| '#_fresh_sk11'
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ $false ) )
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& $false ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21,plain,
( ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
& ( (~) @ $false ) )
| ( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk12' )
& $false )
| '#_fresh_sk11' ),
inference(simplify,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl22,plain,
( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
| '#_fresh_sk11' ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl23,plain,
( ( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' )
| '#_fresh_sk11' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl65_002,plain,
~ '#_fresh_sk11',
inference(clc,[status(thm)],[zip_derived_cl63,zip_derived_cl44]) ).
thf(zip_derived_cl66,plain,
( ( eps2
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
= '#_fresh_sk13' ),
inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl65]) ).
thf(zip_derived_cl68,plain,
( ( eps1
@ ^ [Y0: $i] :
( ( ( Y0 = '#_fresh_sk13' )
& ( (~) @ '#_fresh_sk11' ) )
| ( ( Y0 = '#_fresh_sk12' )
& '#_fresh_sk11' ) ) )
!= '#_fresh_sk13' ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl66]) ).
thf(zip_derived_cl69,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl67,zip_derived_cl68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO555^1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bKvuUVz0qz true
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 23:16:08 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
% 0.13/0.36 % Running in HO mode
% 0.22/0.66 % Total configuration time : 828
% 0.22/0.66 % Estimated wc time : 1656
% 0.22/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.24/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.24/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.24/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.38/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.38/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.38/0.82 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.38/0.85 % Solved by lams/20_acsne_simpl.sh.
% 1.38/0.85 % done 10 iterations in 0.031s
% 1.38/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.38/0.85 % SZS output start Refutation
% See solution above
% 1.38/0.85
% 1.38/0.85
% 1.38/0.85 % Terminating...
% 1.48/0.99 % Runner terminated.
% 1.48/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------