TSTP Solution File: SYN551+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN551+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sSTUnXRMD6 true
% Computer : n011.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 04:04:32 EDT 2023
% Result : Theorem 0.22s 0.77s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 22
% Syntax : Number of formulae : 115 ( 23 unt; 16 typ; 0 def)
% Number of atoms : 229 ( 133 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 442 ( 79 ~; 111 |; 8 &; 233 @)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 70 ( 0 ^; 66 !; 4 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
thf(f_type,type,
f: $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $o ).
thf(g_type,type,
g: $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(prove_this_cute_thing,conjecture,
( ( ! [Y: $i,Z: $i] :
( ( ( Z
= ( f @ ( g @ Z ) ) )
& ( Y
= ( f @ ( g @ Y ) ) ) )
=> ( Y = Z ) )
& ? [X: $i] :
( X
= ( f @ ( g @ X ) ) ) )
<=> ( ! [Y: $i,Z: $i] :
( ( ( Z
= ( g @ ( f @ Z ) ) )
& ( Y
= ( g @ ( f @ Y ) ) ) )
=> ( Y = Z ) )
& ? [X: $i] :
( X
= ( g @ ( f @ X ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
( zip_tseitin_3
<=> ( ? [X: $i] :
( X
= ( g @ ( f @ X ) ) )
& ! [Y: $i,Z: $i] : ( zip_tseitin_2 @ Z @ Y ) ) ) ).
thf(zip_derived_cl11,plain,
( ( sk__5
= ( g @ ( f @ sk__5 ) ) )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_1,type,
zip_tseitin_3: $o ).
thf(zf_stmt_2,type,
zip_tseitin_2: $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [Z: $i,Y: $i] :
( ( zip_tseitin_2 @ Z @ Y )
<=> ( ( ( Y
= ( g @ ( f @ Y ) ) )
& ( Z
= ( g @ ( f @ Z ) ) ) )
=> ( Y = Z ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_1: $o ).
thf(zf_stmt_5,axiom,
( zip_tseitin_1
<=> ( ? [X: $i] :
( X
= ( f @ ( g @ X ) ) )
& ! [Y: $i,Z: $i] : ( zip_tseitin_0 @ Z @ Y ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_7,axiom,
! [Z: $i,Y: $i] :
( ( zip_tseitin_0 @ Z @ Y )
<=> ( ( ( Y
= ( f @ ( g @ Y ) ) )
& ( Z
= ( f @ ( g @ Z ) ) ) )
=> ( Y = Z ) ) ) ).
thf(zf_stmt_8,conjecture,
( zip_tseitin_1
<=> zip_tseitin_3 ) ).
thf(zf_stmt_9,negated_conjecture,
~ ( zip_tseitin_1
<=> zip_tseitin_3 ),
inference('cnf.neg',[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl14,plain,
( zip_tseitin_3
| zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl4,plain,
( ( sk__2
= ( f @ ( g @ sk__2 ) ) )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl93,plain,
( zip_tseitin_3
| ( sk__2
= ( f @ ( g @ sk__2 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ( X1
= ( g @ ( f @ X1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( zip_tseitin_3
| ~ ( zip_tseitin_2 @ sk__4 @ sk__3 )
| ( X0
!= ( g @ ( f @ X0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl102,plain,
! [X0: $i] :
( ( sk__3
= ( g @ ( f @ sk__3 ) ) )
| ( X0
!= ( g @ ( f @ X0 ) ) )
| zip_tseitin_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl13]) ).
thf(zip_derived_cl134,plain,
( zip_tseitin_3
| ( sk__3
= ( g @ ( f @ sk__3 ) ) )
| ( ( g @ sk__2 )
!= ( g @ sk__2 ) )
| zip_tseitin_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl102]) ).
thf(zip_derived_cl135,plain,
( ( sk__3
= ( g @ ( f @ sk__3 ) ) )
| zip_tseitin_3 ),
inference(simplify,[status(thm)],[zip_derived_cl134]) ).
thf(zip_derived_cl135_001,plain,
( ( sk__3
= ( g @ ( f @ sk__3 ) ) )
| zip_tseitin_3 ),
inference(simplify,[status(thm)],[zip_derived_cl134]) ).
thf(zip_derived_cl93_002,plain,
( zip_tseitin_3
| ( sk__2
= ( f @ ( g @ sk__2 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl4]) ).
thf(zip_derived_cl14_003,plain,
( zip_tseitin_3
| zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl94,plain,
! [X0: $i,X1: $i] :
( zip_tseitin_3
| ( zip_tseitin_0 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl5]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( f @ ( g @ X0 ) ) )
| ( X1
!= ( f @ ( g @ X1 ) ) )
| ( X0 = X1 )
| ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl95,plain,
! [X0: $i,X1: $i] :
( zip_tseitin_3
| ( X0 = X1 )
| ( X1
!= ( f @ ( g @ X1 ) ) )
| ( X0
!= ( f @ ( g @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl94,zip_derived_cl0]) ).
thf(zip_derived_cl130,plain,
! [X0: $i] :
( zip_tseitin_3
| zip_tseitin_3
| ( X0 = sk__2 )
| ( sk__2 != sk__2 )
| ( X0
!= ( f @ ( g @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl95]) ).
thf(zip_derived_cl131,plain,
! [X0: $i] :
( ( X0
!= ( f @ ( g @ X0 ) ) )
| ( X0 = sk__2 )
| zip_tseitin_3 ),
inference(simplify,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl142,plain,
( zip_tseitin_3
| ( ( f @ sk__3 )
!= ( f @ sk__3 ) )
| ( ( f @ sk__3 )
= sk__2 )
| zip_tseitin_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl131]) ).
thf(zip_derived_cl144,plain,
( ( ( f @ sk__3 )
= sk__2 )
| zip_tseitin_3 ),
inference(simplify,[status(thm)],[zip_derived_cl142]) ).
thf(zip_derived_cl135_004,plain,
( ( sk__3
= ( g @ ( f @ sk__3 ) ) )
| zip_tseitin_3 ),
inference(simplify,[status(thm)],[zip_derived_cl134]) ).
thf(zip_derived_cl148,plain,
( zip_tseitin_3
| ( sk__3
= ( g @ sk__2 ) )
| zip_tseitin_3 ),
inference('s_sup+',[status(thm)],[zip_derived_cl144,zip_derived_cl135]) ).
thf(zip_derived_cl149,plain,
( ( sk__3
= ( g @ sk__2 ) )
| zip_tseitin_3 ),
inference(simplify,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl93_005,plain,
( zip_tseitin_3
| ( sk__2
= ( f @ ( g @ sk__2 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ( X0
= ( g @ ( f @ X0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl13_006,plain,
! [X0: $i] :
( zip_tseitin_3
| ~ ( zip_tseitin_2 @ sk__4 @ sk__3 )
| ( X0
!= ( g @ ( f @ X0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101,plain,
! [X0: $i] :
( ( sk__4
= ( g @ ( f @ sk__4 ) ) )
| ( X0
!= ( g @ ( f @ X0 ) ) )
| zip_tseitin_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl13]) ).
thf(zip_derived_cl128,plain,
( zip_tseitin_3
| ( sk__4
= ( g @ ( f @ sk__4 ) ) )
| ( ( g @ sk__2 )
!= ( g @ sk__2 ) )
| zip_tseitin_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl101]) ).
thf(zip_derived_cl129,plain,
( ( sk__4
= ( g @ ( f @ sk__4 ) ) )
| zip_tseitin_3 ),
inference(simplify,[status(thm)],[zip_derived_cl128]) ).
thf(zip_derived_cl131_007,plain,
! [X0: $i] :
( ( X0
!= ( f @ ( g @ X0 ) ) )
| ( X0 = sk__2 )
| zip_tseitin_3 ),
inference(simplify,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl136,plain,
( zip_tseitin_3
| ( ( f @ sk__4 )
!= ( f @ sk__4 ) )
| ( ( f @ sk__4 )
= sk__2 )
| zip_tseitin_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl129,zip_derived_cl131]) ).
thf(zip_derived_cl139,plain,
( ( ( f @ sk__4 )
= sk__2 )
| zip_tseitin_3 ),
inference(simplify,[status(thm)],[zip_derived_cl136]) ).
thf(zip_derived_cl129_008,plain,
( ( sk__4
= ( g @ ( f @ sk__4 ) ) )
| zip_tseitin_3 ),
inference(simplify,[status(thm)],[zip_derived_cl128]) ).
thf(zip_derived_cl146,plain,
( zip_tseitin_3
| ( sk__4
= ( g @ sk__2 ) )
| zip_tseitin_3 ),
inference('s_sup+',[status(thm)],[zip_derived_cl139,zip_derived_cl129]) ).
thf(zip_derived_cl147,plain,
( ( sk__4
= ( g @ sk__2 ) )
| zip_tseitin_3 ),
inference(simplify,[status(thm)],[zip_derived_cl146]) ).
thf(zip_derived_cl159,plain,
( zip_tseitin_3
| ( sk__4 = sk__3 )
| zip_tseitin_3 ),
inference('s_sup+',[status(thm)],[zip_derived_cl149,zip_derived_cl147]) ).
thf(zip_derived_cl163,plain,
( ( sk__4 = sk__3 )
| zip_tseitin_3 ),
inference(simplify,[status(thm)],[zip_derived_cl159]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ( X1 != X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl13_009,plain,
! [X0: $i] :
( zip_tseitin_3
| ~ ( zip_tseitin_2 @ sk__4 @ sk__3 )
| ( X0
!= ( g @ ( f @ X0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100,plain,
! [X0: $i] :
( ( sk__3 != sk__4 )
| ( X0
!= ( g @ ( f @ X0 ) ) )
| zip_tseitin_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl13]) ).
thf(zip_derived_cl184,plain,
! [X0: $i] :
( zip_tseitin_3
| ( sk__3 != sk__3 )
| ( X0
!= ( g @ ( f @ X0 ) ) )
| zip_tseitin_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl163,zip_derived_cl100]) ).
thf(zip_derived_cl187,plain,
! [X0: $i] :
( ( X0
!= ( g @ ( f @ X0 ) ) )
| zip_tseitin_3 ),
inference(simplify,[status(thm)],[zip_derived_cl184]) ).
thf(zip_derived_cl190,plain,
( zip_tseitin_3
| ( sk__3 != sk__3 )
| zip_tseitin_3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl187]) ).
thf(zip_derived_cl195,plain,
zip_tseitin_3,
inference(simplify,[status(thm)],[zip_derived_cl190]) ).
thf(zip_derived_cl200,plain,
( sk__5
= ( g @ ( f @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl195]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( X0
= ( f @ ( g @ X0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( zip_tseitin_1
| ~ ( zip_tseitin_0 @ sk__1 @ sk_ )
| ( X0
!= ( f @ ( g @ X0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl15,plain,
( ~ zip_tseitin_3
| ~ zip_tseitin_1 ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl92,plain,
! [X0: $i] :
( ( X0
!= ( f @ ( g @ X0 ) ) )
| ~ ( zip_tseitin_0 @ sk__1 @ sk_ )
| ~ zip_tseitin_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl15]) ).
thf(zip_derived_cl97,plain,
! [X0: $i] :
( ( sk__1
= ( f @ ( g @ sk__1 ) ) )
| ~ zip_tseitin_3
| ( X0
!= ( f @ ( g @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl92]) ).
thf(zip_derived_cl195_010,plain,
zip_tseitin_3,
inference(simplify,[status(thm)],[zip_derived_cl190]) ).
thf(zip_derived_cl202,plain,
! [X0: $i] :
( ( sk__1
= ( f @ ( g @ sk__1 ) ) )
| ( X0
!= ( f @ ( g @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl195]) ).
thf(zip_derived_cl208,plain,
( ( sk__1
= ( f @ ( g @ sk__1 ) ) )
| ( ( f @ sk__5 )
!= ( f @ sk__5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl202]) ).
thf(zip_derived_cl209,plain,
( sk__1
= ( f @ ( g @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( X1
= ( f @ ( g @ X1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl92_011,plain,
! [X0: $i] :
( ( X0
!= ( f @ ( g @ X0 ) ) )
| ~ ( zip_tseitin_0 @ sk__1 @ sk_ )
| ~ zip_tseitin_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl15]) ).
thf(zip_derived_cl98,plain,
! [X0: $i] :
( ( sk_
= ( f @ ( g @ sk_ ) ) )
| ~ zip_tseitin_3
| ( X0
!= ( f @ ( g @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl92]) ).
thf(zip_derived_cl195_012,plain,
zip_tseitin_3,
inference(simplify,[status(thm)],[zip_derived_cl190]) ).
thf(zip_derived_cl203,plain,
! [X0: $i] :
( ( sk_
= ( f @ ( g @ sk_ ) ) )
| ( X0
!= ( f @ ( g @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl195]) ).
thf(zip_derived_cl213,plain,
( ( sk_
= ( f @ ( g @ sk_ ) ) )
| ( sk__1 != sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl203]) ).
thf(zip_derived_cl215,plain,
( sk_
= ( f @ ( g @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl213]) ).
thf(zip_derived_cl200_013,plain,
( sk__5
= ( g @ ( f @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl195]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ~ zip_tseitin_3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( g @ ( f @ X0 ) ) )
| ( X1
!= ( g @ ( f @ X1 ) ) )
| ( X0 = X1 )
| ~ ( zip_tseitin_2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl99,plain,
! [X0: $i,X1: $i] :
( ~ zip_tseitin_3
| ( X0 = X1 )
| ( X1
!= ( g @ ( f @ X1 ) ) )
| ( X0
!= ( g @ ( f @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl7]) ).
thf(zip_derived_cl195_014,plain,
zip_tseitin_3,
inference(simplify,[status(thm)],[zip_derived_cl190]) ).
thf(zip_derived_cl204,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( X1
!= ( g @ ( f @ X1 ) ) )
| ( X0
!= ( g @ ( f @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl195]) ).
thf(zip_derived_cl221,plain,
! [X0: $i] :
( ( X0 = sk__5 )
| ( sk__5 != sk__5 )
| ( X0
!= ( g @ ( f @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl204]) ).
thf(zip_derived_cl224,plain,
! [X0: $i] :
( ( X0
!= ( g @ ( f @ X0 ) ) )
| ( X0 = sk__5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl221]) ).
thf(zip_derived_cl229,plain,
( ( ( g @ sk_ )
!= ( g @ sk_ ) )
| ( ( g @ sk_ )
= sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl215,zip_derived_cl224]) ).
thf(zip_derived_cl232,plain,
( ( g @ sk_ )
= sk__5 ),
inference(simplify,[status(thm)],[zip_derived_cl229]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( X1 != X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl92_015,plain,
! [X0: $i] :
( ( X0
!= ( f @ ( g @ X0 ) ) )
| ~ ( zip_tseitin_0 @ sk__1 @ sk_ )
| ~ zip_tseitin_3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl15]) ).
thf(zip_derived_cl96,plain,
! [X0: $i] :
( ( sk_ != sk__1 )
| ~ zip_tseitin_3
| ( X0
!= ( f @ ( g @ X0 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl92]) ).
thf(zip_derived_cl195_016,plain,
zip_tseitin_3,
inference(simplify,[status(thm)],[zip_derived_cl190]) ).
thf(zip_derived_cl201,plain,
! [X0: $i] :
( ( sk_ != sk__1 )
| ( X0
!= ( f @ ( g @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl195]) ).
thf(zip_derived_cl209_017,plain,
( sk__1
= ( f @ ( g @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl209_018,plain,
( sk__1
= ( f @ ( g @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl208]) ).
thf(zip_derived_cl224_019,plain,
! [X0: $i] :
( ( X0
!= ( g @ ( f @ X0 ) ) )
| ( X0 = sk__5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl221]) ).
thf(zip_derived_cl230,plain,
( ( ( g @ sk__1 )
!= ( g @ sk__1 ) )
| ( ( g @ sk__1 )
= sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl224]) ).
thf(zip_derived_cl233,plain,
( ( g @ sk__1 )
= sk__5 ),
inference(simplify,[status(thm)],[zip_derived_cl230]) ).
thf(zip_derived_cl235,plain,
( sk__1
= ( f @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl209,zip_derived_cl233]) ).
thf(zip_derived_cl215_020,plain,
( sk_
= ( f @ ( g @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl213]) ).
thf(zip_derived_cl232_021,plain,
( ( g @ sk_ )
= sk__5 ),
inference(simplify,[status(thm)],[zip_derived_cl229]) ).
thf(zip_derived_cl234,plain,
( sk_
= ( f @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl232]) ).
thf(zip_derived_cl244,plain,
sk__1 = sk_,
inference(demod,[status(thm)],[zip_derived_cl235,zip_derived_cl234]) ).
thf(zip_derived_cl245,plain,
! [X0: $i] :
( ( sk_ != sk_ )
| ( X0
!= ( f @ ( g @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl244]) ).
thf(zip_derived_cl246,plain,
! [X0: $i] :
( X0
!= ( f @ ( g @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl245]) ).
thf(zip_derived_cl248,plain,
( sk_
!= ( f @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl246]) ).
thf(zip_derived_cl234_022,plain,
( sk_
= ( f @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl232]) ).
thf(zip_derived_cl249,plain,
sk_ != sk_,
inference(demod,[status(thm)],[zip_derived_cl248,zip_derived_cl234]) ).
thf(zip_derived_cl250,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13 % Problem : SYN551+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sSTUnXRMD6 true
% 0.14/0.35 % Computer : n011.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 : Sat Aug 26 19:33:09 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % Solved by fo/fo6_bce.sh.
% 0.22/0.77 % BCE start: 16
% 0.22/0.77 % BCE eliminated: 0
% 0.22/0.77 % PE start: 16
% 0.22/0.77 logic: eq
% 0.22/0.77 % PE eliminated: 6
% 0.22/0.77 % done 52 iterations in 0.018s
% 0.22/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.77 % SZS output start Refutation
% See solution above
% 0.22/0.77
% 0.22/0.77
% 0.22/0.77 % Terminating...
% 1.40/0.87 % Runner terminated.
% 1.40/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------