TSTP Solution File: SEV057^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV057^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.08G5Ioc9Hq true
% Computer : n017.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 19:59:26 EDT 2023
% Result : Theorem 1.41s 1.13s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 11
% Syntax : Number of formulae : 65 ( 6 unt; 10 typ; 0 def)
% Number of atoms : 351 ( 113 equ; 89 cnn)
% Maximal formula atoms : 19 ( 6 avg)
% Number of connectives : 1277 ( 119 ~; 106 |; 51 &; 911 @)
% ( 0 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 11 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 62 ( 62 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 9 usr; 6 con; 0-6 aty)
% ( 33 !!; 15 ??; 0 @@+; 0 @@-)
% Number of variables : 89 ( 6 ^; 67 !; 4 ?; 89 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk4_type',type,
'#sk4': ( a > a ) > a > a ).
thf('#sk1_type',type,
'#sk1': a > $o ).
thf('#sk2_type',type,
'#sk2': ( a > a ) > a ).
thf('#sk3_type',type,
'#sk3': ( a > a ) > a ).
thf(s_comb_type,type,
'#S':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > ( A > B ) > A > C ) ).
thf(c_comb_type,type,
'#C':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > B > A > C ) ).
thf(b_comb_type,type,
'#B':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B ) > ( C > A ) > C > B ) ).
thf(k_comb_type,type,
'#K':
!>[A: $tType,B: $tType] : ( B > A > B ) ).
thf(i_comb_type,type,
'#I':
!>[A: $tType] : ( A > A ) ).
thf(cEQP1_1A_pme,conjecture,
! [Xx: a > $o] :
? [Xs: a > a] :
( ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( Xx @ ( Xs @ Xx0 ) ) )
& ! [Xy: a] :
( ( Xx @ Xy )
=> ? [Xx0: a] :
( ( Xx @ Xx0 )
& ( Xy
= ( Xs @ Xx0 ) )
& ! [Xz: a] :
( ( ( Xy
= ( Xs @ Xz ) )
& ( Xx @ Xz ) )
=> ( Xz = Xx0 ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xx: a > $o] :
? [Xs: a > a] :
( ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( Xx @ ( Xs @ Xx0 ) ) )
& ! [Xy: a] :
( ( Xx @ Xy )
=> ? [Xx0: a] :
( ( Xx @ Xx0 )
& ( Xy
= ( Xs @ Xx0 ) )
& ! [Xz: a] :
( ( ( Xy
= ( Xs @ Xz ) )
& ( Xx @ Xz ) )
=> ( Xz = Xx0 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cEQP1_1A_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( ??
@ ^ [Y1: a > a] :
( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y0 @ ( Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( ??
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
& ( Y2
= ( Y1 @ Y3 ) )
& ( !!
@ ^ [Y4: a] :
( ( ( Y2
= ( Y1 @ Y4 ) )
& ( Y0 @ Y4 ) )
=> ( Y4 = Y3 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !! @ ( '#B' @ ?? @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) ) @ '#B' ) ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ ?? ) ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ '#S' ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#B' @ ( '#B' @ ( '#B' @ '#B' ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ '#S' ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (&) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) ) ) ) ) ) ) @ ( '#C' @ (=) ) ) ) ) ) ) ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ?? @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) ) @ ( '#B' @ '#sk1' ) ) ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ '#sk1' ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (&) ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) ) ) ) ) @ '#sk1' ) ) ) ) ) @ ( '#C' @ (=) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
! [X2: a > a] :
~ ( ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) @ ( '#B' @ '#sk1' @ X2 ) ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) @ ( '#B' @ ?? @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ '#sk1' ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X2 ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X2 ) ) ) @ '#sk1' ) ) ) ) @ ( '#C' @ (=) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
! [X2: a > a] :
( ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) @ ( '#B' @ '#sk1' @ X2 ) ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) @ ( '#B' @ ?? @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ '#sk1' ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X2 ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X2 ) ) ) @ '#sk1' ) ) ) ) @ ( '#C' @ (=) ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
! [X2: a > a] :
( ~ ( ( '#sk1' @ ( '#sk2' @ X2 ) )
=> ( '#sk1' @ ( X2 @ ( '#sk2' @ X2 ) ) ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) @ ( '#B' @ ?? @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ '#sk1' ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X2 ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X2 ) ) ) @ '#sk1' ) ) ) ) @ ( '#C' @ (=) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
! [X2: a > a] :
( ~ ( '#sk1' @ ( X2 @ ( '#sk2' @ X2 ) ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) @ ( '#B' @ ?? @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ '#sk1' ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X2 ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X2 ) ) ) @ '#sk1' ) ) ) ) @ ( '#C' @ (=) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
! [X2: a > a] :
( ~ ( ( '#sk1' @ ( '#sk3' @ X2 ) )
=> ( ??
@ ( '#S'
@ ( '#S' @ ( '#B' @ (&) @ '#sk1' )
@ ( '#B'
@ ( a
= ( '#sk3' @ X2 ) )
@ X2 ) )
@ ( '#B' @ !!
@ ( '#B'
@ ( '#S'
@ ( '#B' @ (=>)
@ ( '#S'
@ ( '#B' @ (&)
@ ( '#B'
@ ( a
= ( '#sk3' @ X2 ) )
@ X2 ) )
@ '#sk1' ) ) )
@ ( '#C' @ (=) ) ) ) ) ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk2' @ X2 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl13,plain,
! [X2: a > a] :
( ~ ( ??
@ ( '#S'
@ ( '#S' @ ( '#B' @ (&) @ '#sk1' )
@ ( '#B'
@ ( a
= ( '#sk3' @ X2 ) )
@ X2 ) )
@ ( '#B' @ !!
@ ( '#B'
@ ( '#S'
@ ( '#B' @ (=>)
@ ( '#S'
@ ( '#B' @ (&)
@ ( '#B'
@ ( a
= ( '#sk3' @ X2 ) )
@ X2 ) )
@ '#sk1' ) ) )
@ ( '#C' @ (=) ) ) ) ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk2' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
! [X2: a > a,X4: a] :
( ~ ( ( '#sk1' @ X4 )
& ( ( '#sk3' @ X2 )
= ( X2 @ X4 ) )
& ( !!
@ ( '#S'
@ ( '#B' @ (=>)
@ ( '#S'
@ ( '#B' @ (&)
@ ( '#B'
@ ( a
= ( '#sk3' @ X2 ) )
@ X2 ) )
@ '#sk1' ) )
@ ( '#C' @ (=) @ X4 ) ) ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk2' @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl17,plain,
! [X2: a > a,X4: a] :
( ~ ( '#sk1' @ X4 )
| ( ( '#sk3' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( !!
@ ( '#S'
@ ( '#B' @ (=>)
@ ( '#S'
@ ( '#B' @ (&)
@ ( '#B'
@ ( a
= ( '#sk3' @ X2 ) )
@ X2 ) )
@ '#sk1' ) )
@ ( '#C' @ (=) @ X4 ) ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk2' @ X2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl20,plain,
! [X2: a > a,X4: a] :
( ~ ( '#sk1' @ X4 )
| ( ( '#sk3' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( !!
@ ( '#S'
@ ( '#B' @ (=>)
@ ( '#S'
@ ( '#B' @ (&)
@ ( '#B'
@ ( a
= ( '#sk3' @ X2 ) )
@ X2 ) )
@ '#sk1' ) )
@ ( '#C' @ (=) @ X4 ) ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk2' @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl21,plain,
! [X2: a > a,X4: a] :
( ~ ( ( ( ( '#sk3' @ X2 )
= ( X2 @ ( '#sk4' @ X2 @ X4 ) ) )
& ( '#sk1' @ ( '#sk4' @ X2 @ X4 ) ) )
=> ( ( '#sk4' @ X2 @ X4 )
= X4 ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk2' @ X2 ) ) )
| ( ( '#sk3' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk1' @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl24,plain,
! [X2: a > a,X4: a] :
( ( ( ( '#sk3' @ X2 )
= ( X2 @ ( '#sk4' @ X2 @ X4 ) ) )
& ( '#sk1' @ ( '#sk4' @ X2 @ X4 ) ) )
| ~ ( '#sk1' @ X4 )
| ( ( '#sk3' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk2' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl29,plain,
! [X2: a > a,X4: a] :
( ( ( '#sk3' @ X2 )
= ( X2 @ ( '#sk4' @ X2 @ X4 ) ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk2' @ X2 ) ) )
| ( ( '#sk3' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk1' @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl33,plain,
! [X2: a > a,X4: a] :
( ( ( '#sk3' @ X2 )
= ( X2 @ ( '#sk4' @ X2 @ X4 ) ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk2' @ X2 ) ) )
| ( ( '#sk3' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk1' @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl613,plain,
! [X0: a] :
( ( ( '#sk3' @ '#I' )
= ( '#I' @ ( '#sk4' @ '#I' @ X0 ) ) )
| ~ ( '#sk1' @ ( '#I' @ ( '#sk2' @ '#I' ) ) )
| ( ( '#sk3' @ '#I' )
!= ( '#I' @ X0 ) )
| ~ ( '#sk1' @ X0 ) ),
inference(narrow_applied_variable,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl634,plain,
! [X0: a] :
( ( ( '#sk3' @ '#I' )
= ( '#sk4' @ '#I' @ X0 ) )
| ~ ( '#sk1' @ ( '#sk2' @ '#I' ) )
| ( ( '#sk3' @ '#I' )
!= X0 )
| ~ ( '#sk1' @ X0 ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl613]) ).
thf(zip_derived_cl6,plain,
! [X2: a > a] :
( ( '#sk1' @ ( '#sk2' @ X2 ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) @ ( '#B' @ ?? @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ '#sk1' ) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X2 ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ ( '#B' @ '#B' @ (=) ) @ X2 ) ) ) @ '#sk1' ) ) ) ) @ ( '#C' @ (=) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
! [X2: a > a] :
( ~ ( ( '#sk1' @ ( '#sk3' @ X2 ) )
=> ( ??
@ ( '#S'
@ ( '#S' @ ( '#B' @ (&) @ '#sk1' )
@ ( '#B'
@ ( a
= ( '#sk3' @ X2 ) )
@ X2 ) )
@ ( '#B' @ !!
@ ( '#B'
@ ( '#S'
@ ( '#B' @ (=>)
@ ( '#S'
@ ( '#B' @ (&)
@ ( '#B'
@ ( a
= ( '#sk3' @ X2 ) )
@ X2 ) )
@ '#sk1' ) ) )
@ ( '#C' @ (=) ) ) ) ) ) )
| ( '#sk1' @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
! [X2: a > a] :
( ~ ( ??
@ ( '#S'
@ ( '#S' @ ( '#B' @ (&) @ '#sk1' )
@ ( '#B'
@ ( a
= ( '#sk3' @ X2 ) )
@ X2 ) )
@ ( '#B' @ !!
@ ( '#B'
@ ( '#S'
@ ( '#B' @ (=>)
@ ( '#S'
@ ( '#B' @ (&)
@ ( '#B'
@ ( a
= ( '#sk3' @ X2 ) )
@ X2 ) )
@ '#sk1' ) ) )
@ ( '#C' @ (=) ) ) ) ) )
| ( '#sk1' @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl14,plain,
! [X2: a > a,X4: a] :
( ~ ( ( '#sk1' @ X4 )
& ( ( '#sk3' @ X2 )
= ( X2 @ X4 ) )
& ( !!
@ ( '#S'
@ ( '#B' @ (=>)
@ ( '#S'
@ ( '#B' @ (&)
@ ( '#B'
@ ( a
= ( '#sk3' @ X2 ) )
@ X2 ) )
@ '#sk1' ) )
@ ( '#C' @ (=) @ X4 ) ) ) )
| ( '#sk1' @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl16,plain,
! [X2: a > a,X4: a] :
( ~ ( '#sk1' @ X4 )
| ( ( '#sk3' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( !!
@ ( '#S'
@ ( '#B' @ (=>)
@ ( '#S'
@ ( '#B' @ (&)
@ ( '#B'
@ ( a
= ( '#sk3' @ X2 ) )
@ X2 ) )
@ '#sk1' ) )
@ ( '#C' @ (=) @ X4 ) ) )
| ( '#sk1' @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl18,plain,
! [X2: a > a,X4: a] :
( ~ ( '#sk1' @ X4 )
| ( ( '#sk3' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( !!
@ ( '#S'
@ ( '#B' @ (=>)
@ ( '#S'
@ ( '#B' @ (&)
@ ( '#B'
@ ( a
= ( '#sk3' @ X2 ) )
@ X2 ) )
@ '#sk1' ) )
@ ( '#C' @ (=) @ X4 ) ) )
| ( '#sk1' @ ( '#sk2' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl19,plain,
! [X2: a > a,X4: a] :
( ~ ( ( ( ( '#sk3' @ X2 )
= ( X2 @ ( '#sk4' @ X2 @ X4 ) ) )
& ( '#sk1' @ ( '#sk4' @ X2 @ X4 ) ) )
=> ( ( '#sk4' @ X2 @ X4 )
= X4 ) )
| ( '#sk1' @ ( '#sk2' @ X2 ) )
| ( ( '#sk3' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk1' @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl22,plain,
! [X2: a > a,X4: a] :
( ( ( ( '#sk3' @ X2 )
= ( X2 @ ( '#sk4' @ X2 @ X4 ) ) )
& ( '#sk1' @ ( '#sk4' @ X2 @ X4 ) ) )
| ~ ( '#sk1' @ X4 )
| ( ( '#sk3' @ X2 )
!= ( X2 @ X4 ) )
| ( '#sk1' @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl26,plain,
! [X2: a > a,X4: a] :
( ( ( '#sk3' @ X2 )
= ( X2 @ ( '#sk4' @ X2 @ X4 ) ) )
| ( '#sk1' @ ( '#sk2' @ X2 ) )
| ( ( '#sk3' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk1' @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl32,plain,
! [X2: a > a,X4: a] :
( ( ( '#sk3' @ X2 )
= ( X2 @ ( '#sk4' @ X2 @ X4 ) ) )
| ( '#sk1' @ ( '#sk2' @ X2 ) )
| ( ( '#sk3' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk1' @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl317,plain,
! [X0: a] :
( ( ( '#sk3' @ '#I' )
= ( '#I' @ ( '#sk4' @ '#I' @ X0 ) ) )
| ( '#sk1' @ ( '#sk2' @ '#I' ) )
| ( ( '#sk3' @ '#I' )
!= ( '#I' @ X0 ) )
| ~ ( '#sk1' @ X0 ) ),
inference(narrow_applied_variable,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl318,plain,
! [X0: a] :
( ( ( '#sk3' @ '#I' )
= ( '#sk4' @ '#I' @ X0 ) )
| ( '#sk1' @ ( '#sk2' @ '#I' ) )
| ( ( '#sk3' @ '#I' )
!= X0 )
| ~ ( '#sk1' @ X0 ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl317]) ).
thf(zip_derived_cl23,plain,
! [X2: a > a,X4: a] :
( ( ( '#sk4' @ X2 @ X4 )
!= X4 )
| ~ ( '#sk1' @ X4 )
| ( ( '#sk3' @ X2 )
!= ( X2 @ X4 ) )
| ( '#sk1' @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl28,plain,
! [X2: a > a,X4: a] :
( ( ( '#sk4' @ X2 @ X4 )
!= X4 )
| ~ ( '#sk1' @ X4 )
| ( ( '#sk3' @ X2 )
!= ( X2 @ X4 ) )
| ( '#sk1' @ ( '#sk2' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl368,plain,
! [X0: a] :
( ( ( '#sk3' @ '#I' )
!= X0 )
| ~ ( '#sk1' @ X0 )
| ( ( '#sk3' @ '#I' )
!= X0 )
| ( '#sk1' @ ( '#sk2' @ '#I' ) )
| ( '#sk1' @ ( '#sk2' @ '#I' ) )
| ( ( '#sk3' @ '#I' )
!= ( '#I' @ X0 ) )
| ~ ( '#sk1' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl28]) ).
thf(zip_derived_cl383,plain,
! [X0: a] :
( ( ( '#sk3' @ '#I' )
!= X0 )
| ~ ( '#sk1' @ X0 )
| ( ( '#sk3' @ '#I' )
!= X0 )
| ( '#sk1' @ ( '#sk2' @ '#I' ) )
| ( '#sk1' @ ( '#sk2' @ '#I' ) )
| ( ( '#sk3' @ '#I' )
!= X0 )
| ~ ( '#sk1' @ X0 ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl368]) ).
thf(zip_derived_cl384,plain,
! [X0: a] :
( ( '#sk1' @ ( '#sk2' @ '#I' ) )
| ~ ( '#sk1' @ X0 )
| ( ( '#sk3' @ '#I' )
!= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl383]) ).
thf(zip_derived_cl434,plain,
( ~ ( '#sk1' @ ( '#sk3' @ '#I' ) )
| ( '#sk1' @ ( '#sk2' @ '#I' ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl384]) ).
thf(zip_derived_cl12,plain,
! [X2: a > a] :
( ( '#sk1' @ ( '#sk3' @ X2 ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk2' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl38,plain,
( ( '#sk1' @ ( '#sk3' @ '#I' ) )
| ~ ( '#sk1' @ ( '#I' @ ( '#sk2' @ '#I' ) ) ) ),
inference(narrow_applied_variable,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl39,plain,
( ( '#sk1' @ ( '#sk3' @ '#I' ) )
| ~ ( '#sk1' @ ( '#sk2' @ '#I' ) ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl10,plain,
! [X2: a > a] :
( ( '#sk1' @ ( '#sk3' @ X2 ) )
| ( '#sk1' @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl44,plain,
'#sk1' @ ( '#sk3' @ '#I' ),
inference(clc,[status(thm)],[zip_derived_cl39,zip_derived_cl10]) ).
thf(zip_derived_cl436,plain,
'#sk1' @ ( '#sk2' @ '#I' ),
inference(demod,[status(thm)],[zip_derived_cl434,zip_derived_cl44]) ).
thf(zip_derived_cl639,plain,
! [X0: a] :
( ( ( '#sk3' @ '#I' )
= ( '#sk4' @ '#I' @ X0 ) )
| ( ( '#sk3' @ '#I' )
!= X0 )
| ~ ( '#sk1' @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl634,zip_derived_cl436]) ).
thf(zip_derived_cl25,plain,
! [X2: a > a,X4: a] :
( ( ( '#sk4' @ X2 @ X4 )
!= X4 )
| ~ ( '#sk1' @ X4 )
| ( ( '#sk3' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk2' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl31,plain,
! [X2: a > a,X4: a] :
( ( ( '#sk4' @ X2 @ X4 )
!= X4 )
| ~ ( '#sk1' @ X4 )
| ( ( '#sk3' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk2' @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl692,plain,
! [X0: a] :
( ( ( '#sk3' @ '#I' )
!= X0 )
| ~ ( '#sk1' @ X0 )
| ( ( '#sk3' @ '#I' )
!= X0 )
| ~ ( '#sk1' @ ( '#I' @ ( '#sk2' @ '#I' ) ) )
| ( ( '#sk3' @ '#I' )
!= ( '#I' @ X0 ) )
| ~ ( '#sk1' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl639,zip_derived_cl31]) ).
thf(zip_derived_cl712,plain,
! [X0: a] :
( ( ( '#sk3' @ '#I' )
!= X0 )
| ~ ( '#sk1' @ X0 )
| ( ( '#sk3' @ '#I' )
!= X0 )
| ~ ( '#sk1' @ ( '#sk2' @ '#I' ) )
| ( ( '#sk3' @ '#I' )
!= X0 )
| ~ ( '#sk1' @ X0 ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl692]) ).
thf(zip_derived_cl436_001,plain,
'#sk1' @ ( '#sk2' @ '#I' ),
inference(demod,[status(thm)],[zip_derived_cl434,zip_derived_cl44]) ).
thf(zip_derived_cl713,plain,
! [X0: a] :
( ( ( '#sk3' @ '#I' )
!= X0 )
| ~ ( '#sk1' @ X0 )
| ( ( '#sk3' @ '#I' )
!= X0 )
| ( ( '#sk3' @ '#I' )
!= X0 )
| ~ ( '#sk1' @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl712,zip_derived_cl436]) ).
thf(zip_derived_cl714,plain,
! [X0: a] :
( ~ ( '#sk1' @ X0 )
| ( ( '#sk3' @ '#I' )
!= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl713]) ).
thf(zip_derived_cl766,plain,
~ ( '#sk1' @ ( '#sk3' @ '#I' ) ),
inference(eq_res,[status(thm)],[zip_derived_cl714]) ).
thf(zip_derived_cl44_002,plain,
'#sk1' @ ( '#sk3' @ '#I' ),
inference(clc,[status(thm)],[zip_derived_cl39,zip_derived_cl10]) ).
thf(zip_derived_cl767,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl766,zip_derived_cl44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV057^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.08G5Ioc9Hq true
% 0.13/0.32 % Computer : n017.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Thu Aug 24 02:27:09 EDT 2023
% 0.13/0.32 % CPUTime :
% 0.13/0.32 % Running portfolio for 300 s
% 0.13/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Number of cores: 8
% 0.13/0.33 % Python version: Python 3.6.8
% 0.13/0.33 % Running in HO mode
% 0.18/0.64 % Total configuration time : 828
% 0.18/0.64 % Estimated wc time : 1656
% 0.18/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.18/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.18/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.18/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.18/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.18/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.18/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.18/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.18/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.41/1.13 % Solved by lams/40_b.comb.sh.
% 1.41/1.13 % done 42 iterations in 0.342s
% 1.41/1.13 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.41/1.13 % SZS output start Refutation
% See solution above
% 1.41/1.13
% 1.41/1.13
% 1.41/1.13 % Terminating...
% 1.82/1.25 % Runner terminated.
% 1.82/1.26 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------