TSTP Solution File: SEV080^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV080^5 : 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.2ERsis5M13 true
% Computer : n009.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 19:59:31 EDT 2023
% Result : Theorem 0.55s 1.14s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 8
% Syntax : Number of formulae : 67 ( 13 unt; 6 typ; 0 def)
% Number of atoms : 267 ( 137 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 681 ( 63 ~; 57 |; 47 &; 462 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 50 ( 50 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 5 usr; 4 con; 0-2 aty)
% ( 15 !!; 15 ??; 0 @@+; 0 @@-)
% Number of variables : 229 ( 157 ^; 66 !; 6 ?; 229 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk12_type',type,
'#sk12': ( a > a ) > a ).
thf('#sk6_type',type,
'#sk6': ( a > a ) > a ).
thf('#_fresh_sk55_type',type,
'#_fresh_sk55': ( a > a ) > a > a ).
thf('#sk1_type',type,
'#sk1': a > $o ).
thf('#_fresh_sk36_type',type,
'#_fresh_sk36': ( a > a ) > a > a ).
thf(cEQP_1A_pme,conjecture,
! [Xx: a > $o] :
? [Xs: a > a] :
( ! [Xy: a] :
( ( Xx @ Xy )
=> ? [Xy_28: a] :
( ( ^ [Xx0: a] :
( ( Xx @ Xx0 )
& ( Xy
= ( Xs @ Xx0 ) ) ) )
= ( ^ [Xx: a,Xy: a] : ( Xx = Xy )
@ Xy_28 ) ) )
& ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( Xx @ ( Xs @ Xx0 ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: a > $o] :
? [X6: a > a] :
( ! [X12: a] :
( ( X4 @ X12 )
=> ( X4 @ ( X6 @ X12 ) ) )
& ! [X8: a] :
( ( X4 @ X8 )
=> ? [X10: a] :
( ( ^ [V_1: a] :
( ( X8
= ( X6 @ V_1 ) )
& ( X4 @ V_1 ) ) )
= ( ^ [V_2: a] : ( X10 = V_2 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: a > $o] :
? [X6: a > a] :
( ! [X12: a] :
( ( X4 @ X12 )
=> ( X4 @ ( X6 @ X12 ) ) )
& ! [X8: a] :
( ( X4 @ X8 )
=> ? [X10: a] :
( ( ^ [V_1: a] :
( ( X8
= ( X6 @ V_1 ) )
& ( X4 @ V_1 ) ) )
= ( ^ [V_2: a] : ( X10 = V_2 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( ??
@ ^ [Y1: a > a] :
( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y0 @ ( Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( ??
@ ^ [Y3: a] :
( ( ^ [Y4: a] :
( ( Y2
= ( Y1 @ Y4 ) )
& ( Y0 @ Y4 ) ) )
= ( ^ [Y4: a] : ( Y3 = Y4 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( ??
@ ^ [Y1: a > a] :
( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y0 @ ( Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( ??
@ ^ [Y3: a] :
( ( ^ [Y4: a] :
( ( Y2
= ( Y1 @ Y4 ) )
& ( Y0 @ Y4 ) ) )
= ( a = Y3 ) ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk1' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( ^ [Y3: a] :
( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk1' @ Y3 ) ) )
= ( a = Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
! [X2: a > a] :
~ ( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk1' @ ( X2 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( X2 @ Y2 ) )
& ( '#sk1' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
! [X2: a > a] :
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk1' @ ( X2 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( X2 @ Y2 ) )
& ( '#sk1' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
! [X2: a > a] :
( ~ ( ( '#sk1' @ ( '#sk6' @ X2 ) )
=> ( '#sk1' @ ( X2 @ ( '#sk6' @ X2 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( X2 @ Y2 ) )
& ( '#sk1' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
! [X2: a > a] :
( ( '#sk1' @ ( '#sk6' @ X2 ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( X2 @ Y2 ) )
& ( '#sk1' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
! [X2: a > a] :
( ~ ( ( '#sk1' @ ( '#sk12' @ X2 ) )
=> ( ??
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ( ( '#sk12' @ X2 )
= ( X2 @ Y1 ) )
& ( '#sk1' @ Y1 ) ) )
= ( a = Y0 ) ) ) )
| ( '#sk1' @ ( '#sk6' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
! [X2: a > a] :
( ~ ( ??
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ( ( '#sk12' @ X2 )
= ( X2 @ Y1 ) )
& ( '#sk1' @ Y1 ) ) )
= ( a = Y0 ) ) )
| ( '#sk1' @ ( '#sk6' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl14,plain,
! [X2: a > a,X4: a] :
( ( ( ^ [Y0: a] :
( ( ( '#sk12' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk1' @ Y0 ) ) )
!= ( a = X4 ) )
| ( '#sk1' @ ( '#sk6' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl16,plain,
! [X2: a > a,X4: a] :
( ( ( ^ [Y0: a] :
( ( ( '#sk12' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk1' @ Y0 ) ) )
!= ( a = X4 ) )
| ( '#sk1' @ ( '#sk6' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl17,plain,
! [X2: a > a,X4: a] :
( ( ( ^ [Y0: a] :
( ( ( '#sk12' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk1' @ Y0 ) )
@ ( '#_fresh_sk36' @ X2 @ X4 ) )
!= ( X4
= ( '#_fresh_sk36' @ X2 @ X4 ) ) )
| ( '#sk1' @ ( '#sk6' @ X2 ) ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl18,plain,
! [X2: a > a,X4: a] :
( ( ( ( ( '#sk12' @ X2 )
= ( X2 @ ( '#_fresh_sk36' @ X2 @ X4 ) ) )
& ( '#sk1' @ ( '#_fresh_sk36' @ X2 @ X4 ) ) )
!= ( X4
= ( '#_fresh_sk36' @ X2 @ X4 ) ) )
| ( '#sk1' @ ( '#sk6' @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl81,plain,
! [X2: a > a,X4: a] :
( ( ( ( '#sk12' @ X2 )
= ( X2 @ ( '#_fresh_sk36' @ X2 @ X4 ) ) )
& ( '#sk1' @ ( '#_fresh_sk36' @ X2 @ X4 ) ) )
| ( X4
= ( '#_fresh_sk36' @ X2 @ X4 ) )
| ( '#sk1' @ ( '#sk6' @ X2 ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl83,plain,
! [X2: a > a,X4: a] :
( ( ( ( '#sk12' @ X2 )
= ( X2 @ ( '#_fresh_sk36' @ X2 @ X4 ) ) )
& ( '#sk1' @ ( '#_fresh_sk36' @ X2 @ X4 ) ) )
| ( X4
= ( '#_fresh_sk36' @ X2 @ X4 ) )
| ( '#sk1' @ ( '#sk6' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl98,plain,
! [X2: a > a,X4: a] :
( ( ( '#sk12' @ X2 )
= ( X2 @ ( '#_fresh_sk36' @ X2 @ X4 ) ) )
| ( '#sk1' @ ( '#sk6' @ X2 ) )
| ( X4
= ( '#_fresh_sk36' @ X2 @ X4 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl83]) ).
thf(zip_derived_cl100,plain,
! [X2: a > a,X4: a] :
( ( ( '#sk12' @ X2 )
= ( X2 @ ( '#_fresh_sk36' @ X2 @ X4 ) ) )
| ( '#sk1' @ ( '#sk6' @ X2 ) )
| ( X4
= ( '#_fresh_sk36' @ X2 @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl98]) ).
thf(zip_derived_cl177,plain,
! [X0: a] :
( ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
!= X0 )
| ( X0
= ( '#_fresh_sk36'
@ ^ [Y0: a] : Y0
@ X0 ) )
| ( '#sk1'
@ ( '#sk6'
@ ^ [Y0: a] : Y0 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl179,plain,
( ( '#sk1'
@ ( '#sk6'
@ ^ [Y0: a] : Y0 ) )
| ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
= ( '#_fresh_sk36'
@ ^ [Y0: a] : Y0
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl177]) ).
thf(zip_derived_cl18_001,plain,
! [X2: a > a,X4: a] :
( ( ( ( ( '#sk12' @ X2 )
= ( X2 @ ( '#_fresh_sk36' @ X2 @ X4 ) ) )
& ( '#sk1' @ ( '#_fresh_sk36' @ X2 @ X4 ) ) )
!= ( X4
= ( '#_fresh_sk36' @ X2 @ X4 ) ) )
| ( '#sk1' @ ( '#sk6' @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl239,plain,
( ( ( ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
= ( ^ [Y0: a] : Y0
@ ( '#_fresh_sk36'
@ ^ [Y0: a] : Y0
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) ) ) )
& ( '#sk1'
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) ) )
!= ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
= ( '#_fresh_sk36'
@ ^ [Y0: a] : Y0
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) ) ) )
| ( '#sk1'
@ ( '#sk6'
@ ^ [Y0: a] : Y0 ) )
| ( '#sk1'
@ ( '#sk6'
@ ^ [Y0: a] : Y0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl179,zip_derived_cl18]) ).
thf(zip_derived_cl261,plain,
( ( ( ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
= ( '#_fresh_sk36'
@ ^ [Y0: a] : Y0
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) ) )
& ( '#sk1'
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) ) )
!= ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
= ( '#_fresh_sk36'
@ ^ [Y0: a] : Y0
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) ) ) )
| ( '#sk1'
@ ( '#sk6'
@ ^ [Y0: a] : Y0 ) )
| ( '#sk1'
@ ( '#sk6'
@ ^ [Y0: a] : Y0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl239]) ).
thf(zip_derived_cl10,plain,
! [X2: a > a] :
( ( '#sk1' @ ( '#sk12' @ X2 ) )
| ( '#sk1' @ ( '#sk6' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl7,plain,
! [X2: a > a] :
( ~ ( '#sk1' @ ( X2 @ ( '#sk6' @ X2 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( X2 @ Y2 ) )
& ( '#sk1' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
! [X2: a > a] :
( ~ ( ( '#sk1' @ ( '#sk12' @ X2 ) )
=> ( ??
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ( ( '#sk12' @ X2 )
= ( X2 @ Y1 ) )
& ( '#sk1' @ Y1 ) ) )
= ( a = Y0 ) ) ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk6' @ X2 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl12,plain,
! [X2: a > a] :
( ( '#sk1' @ ( '#sk12' @ X2 ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk6' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl23,plain,
( ( '#sk1'
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) )
| ( '#sk1'
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl12]) ).
thf(zip_derived_cl27,plain,
( '#sk1'
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl262,plain,
( ( ( ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
= ( '#_fresh_sk36'
@ ^ [Y0: a] : Y0
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) ) )
& $true )
!= ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
= ( '#_fresh_sk36'
@ ^ [Y0: a] : Y0
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) ) ) )
| ( '#sk1'
@ ( '#sk6'
@ ^ [Y0: a] : Y0 ) )
| ( '#sk1'
@ ( '#sk6'
@ ^ [Y0: a] : Y0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl261,zip_derived_cl27]) ).
thf(zip_derived_cl263,plain,
( ( '#sk1'
@ ( '#sk6'
@ ^ [Y0: a] : Y0 ) )
| ( ( ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
= ( '#_fresh_sk36'
@ ^ [Y0: a] : Y0
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) ) )
& $true )
!= ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
= ( '#_fresh_sk36'
@ ^ [Y0: a] : Y0
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl262]) ).
thf(zip_derived_cl264,plain,
( ( '#sk1'
@ ( '#sk6'
@ ^ [Y0: a] : Y0 ) )
| ( ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
= ( '#_fresh_sk36'
@ ^ [Y0: a] : Y0
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) ) )
!= ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
= ( '#_fresh_sk36'
@ ^ [Y0: a] : Y0
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl263]) ).
thf(zip_derived_cl265,plain,
( '#sk1'
@ ( '#sk6'
@ ^ [Y0: a] : Y0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl264]) ).
thf(zip_derived_cl13,plain,
! [X2: a > a] :
( ~ ( ??
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ( ( '#sk12' @ X2 )
= ( X2 @ Y1 ) )
& ( '#sk1' @ Y1 ) ) )
= ( a = Y0 ) ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk6' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
! [X2: a > a,X4: a] :
( ( ( ^ [Y0: a] :
( ( ( '#sk12' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk1' @ Y0 ) ) )
!= ( a = X4 ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk6' @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
! [X2: a > a,X4: a] :
( ( ( ^ [Y0: a] :
( ( ( '#sk12' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk1' @ Y0 ) ) )
!= ( a = X4 ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk6' @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl20,plain,
! [X2: a > a,X4: a] :
( ( ( ^ [Y0: a] :
( ( ( '#sk12' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk1' @ Y0 ) )
@ ( '#_fresh_sk55' @ X2 @ X4 ) )
!= ( X4
= ( '#_fresh_sk55' @ X2 @ X4 ) ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk6' @ X2 ) ) ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21,plain,
! [X2: a > a,X4: a] :
( ( ( ( ( '#sk12' @ X2 )
= ( X2 @ ( '#_fresh_sk55' @ X2 @ X4 ) ) )
& ( '#sk1' @ ( '#_fresh_sk55' @ X2 @ X4 ) ) )
!= ( X4
= ( '#_fresh_sk55' @ X2 @ X4 ) ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk6' @ X2 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl43,plain,
! [X2: a > a,X4: a] :
( ( ( ( '#sk12' @ X2 )
= ( X2 @ ( '#_fresh_sk55' @ X2 @ X4 ) ) )
& ( '#sk1' @ ( '#_fresh_sk55' @ X2 @ X4 ) ) )
| ( X4
= ( '#_fresh_sk55' @ X2 @ X4 ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk6' @ X2 ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl45,plain,
! [X2: a > a,X4: a] :
( ( ( ( '#sk12' @ X2 )
= ( X2 @ ( '#_fresh_sk55' @ X2 @ X4 ) ) )
& ( '#sk1' @ ( '#_fresh_sk55' @ X2 @ X4 ) ) )
| ( X4
= ( '#_fresh_sk55' @ X2 @ X4 ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk6' @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl411,plain,
! [X2: a > a,X4: a] :
( ( '#sk1' @ ( '#_fresh_sk55' @ X2 @ X4 ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk6' @ X2 ) ) )
| ( X4
= ( '#_fresh_sk55' @ X2 @ X4 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl417,plain,
! [X0: a] :
( ( X0
= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) )
| ( '#sk1'
@ ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl411]) ).
thf(zip_derived_cl265_002,plain,
( '#sk1'
@ ( '#sk6'
@ ^ [Y0: a] : Y0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl264]) ).
thf(zip_derived_cl21_003,plain,
! [X2: a > a,X4: a] :
( ( ( ( ( '#sk12' @ X2 )
= ( X2 @ ( '#_fresh_sk55' @ X2 @ X4 ) ) )
& ( '#sk1' @ ( '#_fresh_sk55' @ X2 @ X4 ) ) )
!= ( X4
= ( '#_fresh_sk55' @ X2 @ X4 ) ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk6' @ X2 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl294,plain,
! [X0: a] :
( ( ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
= ( ^ [Y0: a] : Y0
@ ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) ) )
& ( '#sk1'
@ ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) ) )
!= ( X0
= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl21]) ).
thf(zip_derived_cl301,plain,
! [X0: a] :
( ( ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) )
& ( '#sk1'
@ ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) ) )
!= ( X0
= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl294]) ).
thf(zip_derived_cl446,plain,
! [X0: a] :
( ( ( ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) )
& $true )
!= ( X0
= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) ) )
| ( X0
= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl417,zip_derived_cl301]) ).
thf(zip_derived_cl463,plain,
! [X0: a] :
( ( ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) )
!= ( X0
= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) ) )
| ( X0
= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl446]) ).
thf(zip_derived_cl623,plain,
( ( '#sk12'
@ ^ [Y0: a] : Y0 )
= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl463]) ).
thf(zip_derived_cl301_004,plain,
! [X0: a] :
( ( ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) )
& ( '#sk1'
@ ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) ) )
!= ( X0
= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl294]) ).
thf(zip_derived_cl320,plain,
! [X0: a] :
( ~ ( ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) )
& ( '#sk1'
@ ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) ) )
| ( X0
!= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl301]) ).
thf(zip_derived_cl322,plain,
! [X0: a] :
( ~ ( ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) )
& ( '#sk1'
@ ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) ) )
| ( X0
!= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl320]) ).
thf(zip_derived_cl323,plain,
! [X0: a] :
( ~ ( ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
= X0 )
& ( '#sk1' @ X0 ) )
| ( X0
!= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl322]) ).
thf(zip_derived_cl330,plain,
! [X0: a] :
( ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
!= X0 )
| ~ ( '#sk1' @ X0 )
| ( X0
!= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl323]) ).
thf(zip_derived_cl331,plain,
! [X0: a] :
( ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
!= X0 )
| ~ ( '#sk1' @ X0 )
| ( X0
!= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ X0 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl330]) ).
thf(zip_derived_cl332,plain,
( ( ( '#sk12'
@ ^ [Y0: a] : Y0 )
!= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) ) )
| ~ ( '#sk1'
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl331]) ).
thf(zip_derived_cl27_005,plain,
( '#sk1'
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl333,plain,
( ( '#sk12'
@ ^ [Y0: a] : Y0 )
!= ( '#_fresh_sk55'
@ ^ [Y0: a] : Y0
@ ( '#sk12'
@ ^ [Y0: a] : Y0 ) ) ),
inference('simplify_reflect+',[status(thm)],[zip_derived_cl332,zip_derived_cl27]) ).
thf(zip_derived_cl629,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl623,zip_derived_cl333]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV080^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2ERsis5M13 true
% 0.13/0.34 % Computer : n009.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 03:52:51 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
% 0.20/0.65 % Total configuration time : 828
% 0.20/0.65 % Estimated wc time : 1656
% 0.20/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.69 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/1.14 % Solved by lams/20_acsne_simpl.sh.
% 0.55/1.14 % done 44 iterations in 0.308s
% 0.55/1.14 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/1.14 % SZS output start Refutation
% See solution above
% 0.55/1.15
% 0.55/1.15
% 0.55/1.15 % Terminating...
% 0.55/1.26 % Runner terminated.
% 0.55/1.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------