TSTP Solution File: SYN353+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN353+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NPxtecWXXj true
% Computer : n028.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 04:02:56 EDT 2023
% Result : Theorem 0.83s 0.81s
% Output : Refutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 26
% Syntax : Number of formulae : 167 ( 14 unt; 17 typ; 0 def)
% Number of atoms : 416 ( 0 equ; 0 cnn)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 1951 ( 143 ~; 213 |; 8 &;1542 @)
% ( 19 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 48 ( 48 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 361 ( 0 ^; 352 !; 9 ?; 361 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__1_type,type,
sk__1: $i > $i > $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $i > $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(big_f_type,type,
big_f: $i > $i > $i > $o ).
thf(church_46_18_5,conjecture,
! [X: $i] :
? [Y1: $i,Y2: $i,Y3: $i] :
! [Z: $i] :
( ( ( big_f @ Y1 @ Y2 @ Y3 )
=> ( ( big_f @ X @ X @ Z )
=> ( ( big_f @ Y3 @ Y1 @ Y2 )
| ( big_f @ Y2 @ Y3 @ Y1 ) ) ) )
=> ( ( ( ( big_f @ Y3 @ Y1 @ Y2 )
=> ( ( big_f @ Y2 @ Y3 @ Y1 )
& ( big_f @ Y1 @ Y2 @ Y3 ) ) )
<=> ( big_f @ Y2 @ Y1 @ Z ) )
=> ( ( ( ( big_f @ Y2 @ Y3 @ Y1 )
=> ( ( big_f @ Y3 @ Y1 @ Y2 )
& ( big_f @ Y1 @ Y2 @ Y3 ) ) )
<=> ( big_f @ Y1 @ Z @ Y2 ) )
=> ( ( ( ( ( big_f @ Y3 @ Y1 @ Y2 )
=> ~ ( big_f @ Y2 @ Y3 @ Y1 ) )
=> ( big_f @ Y1 @ Y2 @ Y3 ) )
<=> ( big_f @ Z @ Y2 @ Y1 ) )
=> ( ( ( big_f @ Y3 @ Y1 @ Y2 )
& ( big_f @ Y2 @ Y3 @ Y1 )
& ( big_f @ Y1 @ Y2 @ Y3 ) )
<=> ( big_f @ Z @ Z @ Z ) ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [Y3: $i,Y2: $i,Y1: $i] :
( ( zip_tseitin_6 @ Y3 @ Y2 @ Y1 )
<=> ( ( big_f @ Y1 @ Y2 @ Y3 )
& ( big_f @ Y2 @ Y3 @ Y1 )
& ( big_f @ Y3 @ Y1 @ Y2 ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_6 @ X0 @ X1 @ X2 )
| ~ ( big_f @ X0 @ X2 @ X1 )
| ~ ( big_f @ X1 @ X0 @ X2 )
| ~ ( big_f @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zf_stmt_1,type,
zip_tseitin_6: $i > $i > $i > $o ).
thf(zf_stmt_2,type,
zip_tseitin_5: $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [Y3: $i,Y2: $i,Y1: $i] :
( ( zip_tseitin_5 @ Y3 @ Y2 @ Y1 )
<=> ( ( zip_tseitin_4 @ Y3 @ Y2 @ Y1 )
=> ( big_f @ Y1 @ Y2 @ Y3 ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [Y3: $i,Y2: $i,Y1: $i] :
( ( zip_tseitin_4 @ Y3 @ Y2 @ Y1 )
<=> ( ( big_f @ Y3 @ Y1 @ Y2 )
=> ~ ( big_f @ Y2 @ Y3 @ Y1 ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(zf_stmt_7,axiom,
! [Y3: $i,Y2: $i,Y1: $i] :
( ( zip_tseitin_3 @ Y3 @ Y2 @ Y1 )
<=> ( ( big_f @ Y2 @ Y3 @ Y1 )
=> ( zip_tseitin_2 @ Y3 @ Y2 @ Y1 ) ) ) ).
thf(zf_stmt_8,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zf_stmt_9,axiom,
! [Y3: $i,Y2: $i,Y1: $i] :
( ( zip_tseitin_2 @ Y3 @ Y2 @ Y1 )
<=> ( ( big_f @ Y1 @ Y2 @ Y3 )
& ( big_f @ Y3 @ Y1 @ Y2 ) ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_1: $i > $i > $i > $o ).
thf(zf_stmt_11,axiom,
! [Y3: $i,Y2: $i,Y1: $i] :
( ( zip_tseitin_1 @ Y3 @ Y2 @ Y1 )
<=> ( ( big_f @ Y3 @ Y1 @ Y2 )
=> ( zip_tseitin_0 @ Y3 @ Y2 @ Y1 ) ) ) ).
thf(zf_stmt_12,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zf_stmt_13,axiom,
! [Y3: $i,Y2: $i,Y1: $i] :
( ( zip_tseitin_0 @ Y3 @ Y2 @ Y1 )
<=> ( ( big_f @ Y1 @ Y2 @ Y3 )
& ( big_f @ Y2 @ Y3 @ Y1 ) ) ) ).
thf(zf_stmt_14,conjecture,
! [X: $i] :
? [Y1: $i,Y2: $i,Y3: $i] :
! [Z: $i] :
( ( ( big_f @ Y1 @ Y2 @ Y3 )
=> ( ( big_f @ X @ X @ Z )
=> ( ( big_f @ Y2 @ Y3 @ Y1 )
| ( big_f @ Y3 @ Y1 @ Y2 ) ) ) )
=> ( ( ( zip_tseitin_1 @ Y3 @ Y2 @ Y1 )
<=> ( big_f @ Y2 @ Y1 @ Z ) )
=> ( ( ( zip_tseitin_3 @ Y3 @ Y2 @ Y1 )
<=> ( big_f @ Y1 @ Z @ Y2 ) )
=> ( ( ( zip_tseitin_5 @ Y3 @ Y2 @ Y1 )
<=> ( big_f @ Z @ Y2 @ Y1 ) )
=> ( ( zip_tseitin_6 @ Y3 @ Y2 @ Y1 )
<=> ( big_f @ Z @ Z @ Z ) ) ) ) ) ) ).
thf(zf_stmt_15,negated_conjecture,
~ ! [X: $i] :
? [Y1: $i,Y2: $i,Y3: $i] :
! [Z: $i] :
( ( ( big_f @ Y1 @ Y2 @ Y3 )
=> ( ( big_f @ X @ X @ Z )
=> ( ( big_f @ Y2 @ Y3 @ Y1 )
| ( big_f @ Y3 @ Y1 @ Y2 ) ) ) )
=> ( ( ( zip_tseitin_1 @ Y3 @ Y2 @ Y1 )
<=> ( big_f @ Y2 @ Y1 @ Z ) )
=> ( ( ( zip_tseitin_3 @ Y3 @ Y2 @ Y1 )
<=> ( big_f @ Y1 @ Z @ Y2 ) )
=> ( ( ( zip_tseitin_5 @ Y3 @ Y2 @ Y1 )
<=> ( big_f @ Z @ Y2 @ Y1 ) )
=> ( ( zip_tseitin_6 @ Y3 @ Y2 @ Y1 )
<=> ( big_f @ Z @ Z @ Z ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ ( sk__1 @ X0 @ X1 @ X2 ) @ ( sk__1 @ X0 @ X1 @ X2 ) @ ( sk__1 @ X0 @ X1 @ X2 ) )
| ~ ( zip_tseitin_6 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X0 @ X1 @ X2 )
| ~ ( big_f @ X1 @ X2 @ X0 )
| ~ ( big_f @ X2 @ X0 @ X1 )
| ~ ( big_f @ ( sk__1 @ X2 @ X1 @ X0 ) @ ( sk__1 @ X2 @ X1 @ X0 ) @ ( sk__1 @ X2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl21,zip_derived_cl26]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X0 @ X1 @ X2 )
| ~ ( big_f @ ( sk__1 @ X0 @ X1 @ X2 ) @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_4 @ X0 @ X1 @ X2 )
| ( big_f @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_4 @ X0 @ X1 @ X2 )
| ( big_f @ X2 @ X1 @ X0 )
| ~ ( zip_tseitin_5 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X1 @ X2 @ X0 )
| ~ ( zip_tseitin_5 @ X2 @ X1 @ X0 )
| ( big_f @ X0 @ X1 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl15]) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ ( sk__1 @ X0 @ X1 @ X2 ) @ X1 @ X2 )
| ( big_f @ X2 @ X1 @ X0 )
| ( big_f @ X1 @ X0 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl48]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X0 @ X1 @ X2 )
| ( zip_tseitin_4 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X0 @ X1 @ X2 )
| ~ ( big_f @ X2 @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X1 @ X2 @ X0 )
| ~ ( big_f @ X2 @ X1 @ X0 )
| ~ ( big_f @ X1 @ X0 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl12]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ ( sk__1 @ X0 @ X1 @ X2 ) @ X1 @ X2 )
| ~ ( zip_tseitin_5 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X2 @ X0 @ X1 )
| ~ ( big_f @ X1 @ X2 @ X0 )
| ( big_f @ ( sk__1 @ X2 @ X1 @ X0 ) @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl47,zip_derived_cl27]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ sk_ @ sk_ @ ( sk__1 @ X0 @ X1 @ X2 ) )
| ( big_f @ X1 @ X0 @ X2 )
| ( big_f @ X0 @ X2 @ X1 )
| ~ ( big_f @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl82_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X2 @ X0 @ X1 )
| ~ ( big_f @ X1 @ X2 @ X0 )
| ( big_f @ ( sk__1 @ X2 @ X1 @ X0 ) @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl47,zip_derived_cl27]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_3 @ X0 @ X1 @ X2 )
| ( big_f @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X2 @ ( sk__1 @ X0 @ X1 @ X2 ) @ X1 )
| ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X0 @ X2 @ X1 )
| ( big_f @ X1 @ ( sk__1 @ X2 @ X0 @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl24]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
| ( big_f @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X1 @ X2 @ ( sk__1 @ X0 @ X1 @ X2 ) )
| ~ ( zip_tseitin_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X2 @ X0 @ X1 )
| ( big_f @ X1 @ X0 @ ( sk__1 @ X2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl29]) ).
thf(zip_derived_cl58_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X2 @ X0 @ X1 )
| ( big_f @ X1 @ X0 @ ( sk__1 @ X2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl29]) ).
thf(zip_derived_cl22_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ sk_ @ sk_ @ ( sk__1 @ X0 @ X1 @ X2 ) )
| ( big_f @ X1 @ X0 @ X2 )
| ( big_f @ X0 @ X2 @ X1 )
| ~ ( big_f @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl87,plain,
! [X0: $i] :
( ( big_f @ X0 @ sk_ @ sk_ )
| ( big_f @ sk_ @ X0 @ sk_ )
| ( big_f @ X0 @ sk_ @ sk_ )
| ~ ( big_f @ sk_ @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl22]) ).
thf(zip_derived_cl88,plain,
! [X0: $i] :
( ~ ( big_f @ sk_ @ sk_ @ X0 )
| ( big_f @ sk_ @ X0 @ sk_ )
| ( big_f @ X0 @ sk_ @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ( big_f @ X0 @ sk_ @ sk_ )
| ( big_f @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ )
| ( big_f @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl88]) ).
thf(zip_derived_cl28_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X0 @ X1 @ X2 )
| ~ ( big_f @ ( sk__1 @ X0 @ X1 @ X2 ) @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_4 @ X0 @ X1 @ X2 )
| ( big_f @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl15_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_4 @ X0 @ X1 @ X2 )
| ( big_f @ X2 @ X1 @ X0 )
| ~ ( zip_tseitin_5 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X2 @ X0 @ X1 )
| ~ ( zip_tseitin_5 @ X2 @ X1 @ X0 )
| ( big_f @ X0 @ X1 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl15]) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ ( sk__1 @ X0 @ X1 @ X2 ) @ X1 @ X2 )
| ( big_f @ X2 @ X1 @ X0 )
| ( big_f @ X0 @ X2 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl49]) ).
thf(zip_derived_cl105,plain,
! [X0: $i] :
( ( big_f @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ )
| ( big_f @ X0 @ sk_ @ sk_ )
| ( big_f @ sk_ @ sk_ @ X0 )
| ( big_f @ X0 @ sk_ @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl81]) ).
thf(zip_derived_cl106,plain,
! [X0: $i] :
( ( big_f @ sk_ @ sk_ @ X0 )
| ( big_f @ X0 @ sk_ @ sk_ )
| ( big_f @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl105]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_3 @ X0 @ X1 @ X2 )
| ~ ( big_f @ X2 @ ( sk__1 @ X0 @ X1 @ X2 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X0 @ X1 @ X2 )
| ( zip_tseitin_2 @ X1 @ X0 @ X2 )
| ~ ( zip_tseitin_3 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_2 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 )
| ~ ( big_f @ X1 @ X0 @ X2 )
| ( big_f @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl6]) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X2 @ ( sk__1 @ X0 @ X1 @ X2 ) @ X1 )
| ( big_f @ X2 @ X1 @ X0 )
| ~ ( big_f @ X1 @ X0 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl44]) ).
thf(zip_derived_cl113,plain,
! [X0: $i] :
( ( big_f @ X0 @ sk_ @ sk_ )
| ( big_f @ sk_ @ sk_ @ X0 )
| ( big_f @ sk_ @ sk_ @ X0 )
| ~ ( big_f @ sk_ @ X0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl71]) ).
thf(zip_derived_cl115,plain,
! [X0: $i] :
( ~ ( big_f @ sk_ @ X0 @ sk_ )
| ( big_f @ sk_ @ sk_ @ X0 )
| ( big_f @ X0 @ sk_ @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl121,plain,
! [X0: $i] :
( ( big_f @ sk_ @ X0 @ sk_ )
| ( big_f @ sk_ @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) )
| ( big_f @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl115]) ).
thf(zip_derived_cl80_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ ( sk__1 @ X0 @ X1 @ X2 ) @ X1 @ X2 )
| ( big_f @ X2 @ X1 @ X0 )
| ( big_f @ X1 @ X0 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl48]) ).
thf(zip_derived_cl128,plain,
! [X0: $i] :
( ( big_f @ sk_ @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) )
| ( big_f @ sk_ @ X0 @ sk_ )
| ( big_f @ sk_ @ sk_ @ X0 )
| ( big_f @ sk_ @ X0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl80]) ).
thf(zip_derived_cl130,plain,
! [X0: $i] :
( ( big_f @ sk_ @ sk_ @ X0 )
| ( big_f @ sk_ @ X0 @ sk_ )
| ( big_f @ sk_ @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl128]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
| ~ ( big_f @ X1 @ X2 @ ( sk__1 @ X0 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X0 @ X1 @ X2 )
| ( zip_tseitin_0 @ X0 @ X2 @ X1 )
| ~ ( zip_tseitin_1 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_0 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_1 @ X0 @ X1 @ X2 )
| ~ ( big_f @ X0 @ X2 @ X1 )
| ( big_f @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X1 @ X2 @ ( sk__1 @ X0 @ X1 @ X2 ) )
| ( big_f @ X2 @ X1 @ X0 )
| ~ ( big_f @ X0 @ X2 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl41]) ).
thf(zip_derived_cl131,plain,
! [X0: $i] :
( ( big_f @ sk_ @ X0 @ sk_ )
| ( big_f @ sk_ @ sk_ @ X0 )
| ( big_f @ sk_ @ sk_ @ X0 )
| ~ ( big_f @ X0 @ sk_ @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl62]) ).
thf(zip_derived_cl135,plain,
! [X0: $i] :
( ~ ( big_f @ X0 @ sk_ @ sk_ )
| ( big_f @ sk_ @ sk_ @ X0 )
| ( big_f @ sk_ @ X0 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl131]) ).
thf(zip_derived_cl141,plain,
! [X0: $i] :
( ~ ( big_f @ sk_ @ X0 @ sk_ )
| ~ ( big_f @ X0 @ sk_ @ sk_ )
| ( big_f @ sk_ @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) )
| ( big_f @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl135]) ).
thf(zip_derived_cl67_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X0 @ X2 @ X1 )
| ( big_f @ X1 @ ( sk__1 @ X2 @ X0 @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl24]) ).
thf(zip_derived_cl163,plain,
! [X0: $i] :
( ( big_f @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ )
| ( big_f @ sk_ @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) )
| ~ ( big_f @ X0 @ sk_ @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl141,zip_derived_cl67]) ).
thf(zip_derived_cl58_008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X2 @ X0 @ X1 )
| ( big_f @ X1 @ X0 @ ( sk__1 @ X2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl29]) ).
thf(zip_derived_cl164,plain,
! [X0: $i] :
( ( big_f @ sk_ @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) )
| ( big_f @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl163,zip_derived_cl58]) ).
thf(zip_derived_cl115_009,plain,
! [X0: $i] :
( ~ ( big_f @ sk_ @ X0 @ sk_ )
| ( big_f @ sk_ @ sk_ @ X0 )
| ( big_f @ X0 @ sk_ @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl167,plain,
! [X0: $i] :
( ( big_f @ sk_ @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) )
| ( big_f @ sk_ @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) )
| ( big_f @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl164,zip_derived_cl115]) ).
thf(zip_derived_cl168,plain,
! [X0: $i] :
( ( big_f @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ @ sk_ )
| ( big_f @ sk_ @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl167]) ).
thf(zip_derived_cl164_010,plain,
! [X0: $i] :
( ( big_f @ sk_ @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) )
| ( big_f @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl163,zip_derived_cl58]) ).
thf(zip_derived_cl71_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X2 @ ( sk__1 @ X0 @ X1 @ X2 ) @ X1 )
| ( big_f @ X2 @ X1 @ X0 )
| ~ ( big_f @ X1 @ X0 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl44]) ).
thf(zip_derived_cl165,plain,
! [X0: $i] :
( ( big_f @ sk_ @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) )
| ( big_f @ sk_ @ sk_ @ X0 )
| ~ ( big_f @ sk_ @ X0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl164,zip_derived_cl71]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
| ~ ( big_f @ X1 @ X0 @ X2 )
| ~ ( big_f @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X0 @ X1 @ X2 )
| ~ ( big_f @ X1 @ X2 @ X0 )
| ( zip_tseitin_1 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).
thf(zip_derived_cl29_012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X1 @ X2 @ ( sk__1 @ X0 @ X1 @ X2 ) )
| ~ ( zip_tseitin_1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl64,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X1 @ X2 @ X0 )
| ~ ( big_f @ X0 @ X1 @ X2 )
| ( big_f @ X1 @ X0 @ ( sk__1 @ X2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl43,zip_derived_cl29]) ).
thf(zip_derived_cl169,plain,
! [X0: $i] :
( ~ ( big_f @ sk_ @ X0 @ sk_ )
| ( big_f @ sk_ @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) ) ),
inference(clc,[status(thm)],[zip_derived_cl165,zip_derived_cl64]) ).
thf(zip_derived_cl62_013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X1 @ X2 @ ( sk__1 @ X0 @ X1 @ X2 ) )
| ( big_f @ X2 @ X1 @ X0 )
| ~ ( big_f @ X0 @ X2 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl41]) ).
thf(zip_derived_cl170,plain,
! [X0: $i] :
( ~ ( big_f @ sk_ @ X0 @ sk_ )
| ( big_f @ sk_ @ sk_ @ X0 )
| ~ ( big_f @ X0 @ sk_ @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl62]) ).
thf(zip_derived_cl135_014,plain,
! [X0: $i] :
( ~ ( big_f @ X0 @ sk_ @ sk_ )
| ( big_f @ sk_ @ sk_ @ X0 )
| ( big_f @ sk_ @ X0 @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl131]) ).
thf(zip_derived_cl180,plain,
! [X0: $i] :
( ~ ( big_f @ X0 @ sk_ @ sk_ )
| ( big_f @ sk_ @ sk_ @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl170,zip_derived_cl135]) ).
thf(zip_derived_cl184,plain,
! [X0: $i] :
( ( big_f @ sk_ @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) )
| ( big_f @ sk_ @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl168,zip_derived_cl180]) ).
thf(zip_derived_cl186,plain,
! [X0: $i] : ( big_f @ sk_ @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl184]) ).
thf(zip_derived_cl186_015,plain,
! [X0: $i] : ( big_f @ sk_ @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl184]) ).
thf(zip_derived_cl22_016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ sk_ @ sk_ @ ( sk__1 @ X0 @ X1 @ X2 ) )
| ( big_f @ X1 @ X0 @ X2 )
| ( big_f @ X0 @ X2 @ X1 )
| ~ ( big_f @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl190,plain,
! [X0: $i] :
( ( big_f @ sk_ @ X0 @ sk_ )
| ( big_f @ X0 @ sk_ @ sk_ )
| ~ ( big_f @ sk_ @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl186,zip_derived_cl22]) ).
thf(zip_derived_cl89_017,plain,
! [X0: $i] :
( ( big_f @ X0 @ sk_ @ sk_ )
| ( big_f @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ )
| ( big_f @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl88]) ).
thf(zip_derived_cl186_018,plain,
! [X0: $i] : ( big_f @ sk_ @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl184]) ).
thf(zip_derived_cl30_019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
| ~ ( big_f @ X1 @ X2 @ ( sk__1 @ X0 @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl3_020,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X0 @ X1 @ X2 )
| ( zip_tseitin_0 @ X0 @ X2 @ X1 )
| ~ ( zip_tseitin_1 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_1 @ X1 @ X2 @ X0 )
| ~ ( big_f @ X1 @ X0 @ X2 )
| ( big_f @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X2 @ X0 @ ( sk__1 @ X1 @ X2 @ X0 ) )
| ( big_f @ X2 @ X1 @ X0 )
| ~ ( big_f @ X1 @ X0 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl42]) ).
thf(zip_derived_cl188,plain,
! [X0: $i] :
( ( big_f @ sk_ @ X0 @ sk_ )
| ~ ( big_f @ X0 @ sk_ @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl186,zip_derived_cl63]) ).
thf(zip_derived_cl193,plain,
! [X0: $i] :
( ( big_f @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ )
| ( big_f @ X0 @ sk_ @ sk_ )
| ( big_f @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl188]) ).
thf(zip_derived_cl195,plain,
! [X0: $i] :
( ( big_f @ X0 @ sk_ @ sk_ )
| ( big_f @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl23_021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_3 @ X0 @ X1 @ X2 )
| ~ ( big_f @ X2 @ ( sk__1 @ X0 @ X1 @ X2 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl9_022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X0 @ X1 @ X2 )
| ( zip_tseitin_2 @ X1 @ X0 @ X2 )
| ~ ( zip_tseitin_3 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_2 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_3 @ X2 @ X0 @ X1 )
| ~ ( big_f @ X0 @ X2 @ X1 )
| ( big_f @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl7]) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X1 @ ( sk__1 @ X2 @ X0 @ X1 ) @ X0 )
| ( big_f @ X2 @ X1 @ X0 )
| ~ ( big_f @ X0 @ X2 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl45]) ).
thf(zip_derived_cl203,plain,
! [X0: $i] :
( ( big_f @ X0 @ sk_ @ sk_ )
| ( big_f @ X0 @ sk_ @ sk_ )
| ~ ( big_f @ sk_ @ X0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl72]) ).
thf(zip_derived_cl205,plain,
! [X0: $i] :
( ~ ( big_f @ sk_ @ X0 @ sk_ )
| ( big_f @ X0 @ sk_ @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl203]) ).
thf(zip_derived_cl215,plain,
! [X0: $i] :
( ~ ( big_f @ sk_ @ sk_ @ X0 )
| ( big_f @ X0 @ sk_ @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl190,zip_derived_cl205]) ).
thf(zip_derived_cl218,plain,
! [X0: $i] : ( big_f @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl186,zip_derived_cl215]) ).
thf(zip_derived_cl80_023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ ( sk__1 @ X0 @ X1 @ X2 ) @ X1 @ X2 )
| ( big_f @ X2 @ X1 @ X0 )
| ( big_f @ X1 @ X0 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl48]) ).
thf(zip_derived_cl222,plain,
! [X0: $i] :
( ( big_f @ sk_ @ sk_ @ X0 )
| ( big_f @ sk_ @ X0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl218,zip_derived_cl80]) ).
thf(zip_derived_cl82_024,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X2 @ X0 @ X1 )
| ~ ( big_f @ X1 @ X2 @ X0 )
| ( big_f @ ( sk__1 @ X2 @ X1 @ X0 ) @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl47,zip_derived_cl27]) ).
thf(zip_derived_cl188_025,plain,
! [X0: $i] :
( ( big_f @ sk_ @ X0 @ sk_ )
| ~ ( big_f @ X0 @ sk_ @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl186,zip_derived_cl63]) ).
thf(zip_derived_cl192,plain,
! [X0: $i] :
( ~ ( big_f @ sk_ @ X0 @ sk_ )
| ~ ( big_f @ X0 @ sk_ @ sk_ )
| ( big_f @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl188]) ).
thf(zip_derived_cl188_026,plain,
! [X0: $i] :
( ( big_f @ sk_ @ X0 @ sk_ )
| ~ ( big_f @ X0 @ sk_ @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl186,zip_derived_cl63]) ).
thf(zip_derived_cl224,plain,
! [X0: $i] :
( ( big_f @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ )
| ~ ( big_f @ X0 @ sk_ @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl192,zip_derived_cl188]) ).
thf(zip_derived_cl195_027,plain,
! [X0: $i] :
( ( big_f @ X0 @ sk_ @ sk_ )
| ( big_f @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl193]) ).
thf(zip_derived_cl225,plain,
! [X0: $i] : ( big_f @ sk_ @ ( sk__1 @ X0 @ sk_ @ sk_ ) @ sk_ ),
inference(clc,[status(thm)],[zip_derived_cl224,zip_derived_cl195]) ).
thf(zip_derived_cl71_028,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X2 @ ( sk__1 @ X0 @ X1 @ X2 ) @ X1 )
| ( big_f @ X2 @ X1 @ X0 )
| ~ ( big_f @ X1 @ X0 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl44]) ).
thf(zip_derived_cl226,plain,
! [X0: $i] :
( ( big_f @ sk_ @ sk_ @ X0 )
| ~ ( big_f @ sk_ @ X0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl225,zip_derived_cl71]) ).
thf(zip_derived_cl234,plain,
! [X0: $i] : ( big_f @ sk_ @ sk_ @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl222,zip_derived_cl226]) ).
thf(zip_derived_cl235,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X1 @ X0 @ X2 )
| ( big_f @ X0 @ X2 @ X1 )
| ~ ( big_f @ X2 @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl234]) ).
thf(zip_derived_cl250,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X1 @ X2 @ X0 )
| ~ ( big_f @ X2 @ X0 @ X1 )
| ( big_f @ X1 @ X0 @ ( sk__1 @ X2 @ X1 @ X0 ) )
| ( big_f @ X0 @ ( sk__1 @ X2 @ X1 @ X0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl82,zip_derived_cl235]) ).
thf(zip_derived_cl67_029,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X0 @ X2 @ X1 )
| ( big_f @ X1 @ ( sk__1 @ X2 @ X0 @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl24]) ).
thf(zip_derived_cl296,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X0 @ ( sk__1 @ X2 @ X1 @ X0 ) @ X1 )
| ( big_f @ X1 @ X0 @ ( sk__1 @ X2 @ X1 @ X0 ) )
| ~ ( big_f @ X2 @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl250,zip_derived_cl67]) ).
thf(zip_derived_cl58_030,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X2 @ X0 @ X1 )
| ( big_f @ X1 @ X0 @ ( sk__1 @ X2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl29]) ).
thf(zip_derived_cl297,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X1 @ X0 @ ( sk__1 @ X2 @ X1 @ X0 ) )
| ( big_f @ X0 @ ( sk__1 @ X2 @ X1 @ X0 ) @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl296,zip_derived_cl58]) ).
thf(zip_derived_cl297_031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X1 @ X0 @ ( sk__1 @ X2 @ X1 @ X0 ) )
| ( big_f @ X0 @ ( sk__1 @ X2 @ X1 @ X0 ) @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl296,zip_derived_cl58]) ).
thf(zip_derived_cl62_032,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X1 @ X2 @ ( sk__1 @ X0 @ X1 @ X2 ) )
| ( big_f @ X2 @ X1 @ X0 )
| ~ ( big_f @ X0 @ X2 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl41]) ).
thf(zip_derived_cl299,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X0 @ ( sk__1 @ X2 @ X1 @ X0 ) @ X1 )
| ( big_f @ X0 @ X1 @ X2 )
| ~ ( big_f @ X2 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl62]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_2 @ X0 @ X1 @ X2 )
| ~ ( big_f @ X0 @ X2 @ X1 )
| ~ ( big_f @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_3 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_2 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X0 @ X1 @ X2 )
| ~ ( big_f @ X2 @ X0 @ X1 )
| ( zip_tseitin_3 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl10]) ).
thf(zip_derived_cl24_033,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X2 @ ( sk__1 @ X0 @ X1 @ X2 ) @ X1 )
| ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X2 @ X1 @ X0 )
| ~ ( big_f @ X1 @ X0 @ X2 )
| ( big_f @ X1 @ ( sk__1 @ X2 @ X0 @ X1 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl46,zip_derived_cl24]) ).
thf(zip_derived_cl306,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X2 @ X0 @ X1 )
| ( big_f @ X0 @ ( sk__1 @ X2 @ X1 @ X0 ) @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl299,zip_derived_cl73]) ).
thf(zip_derived_cl71_034,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X2 @ ( sk__1 @ X0 @ X1 @ X2 ) @ X1 )
| ( big_f @ X2 @ X1 @ X0 )
| ~ ( big_f @ X1 @ X0 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl44]) ).
thf(zip_derived_cl308,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X2 @ X1 @ X0 )
| ( big_f @ X1 @ X0 @ X2 )
| ~ ( big_f @ X0 @ X2 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl71]) ).
thf(zip_derived_cl235_035,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X1 @ X0 @ X2 )
| ( big_f @ X0 @ X2 @ X1 )
| ~ ( big_f @ X2 @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl234]) ).
thf(zip_derived_cl313,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X0 @ X2 @ X1 )
| ( big_f @ X1 @ X0 @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl308,zip_derived_cl235]) ).
thf(zip_derived_cl319,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X0 @ X1 @ ( sk__1 @ X2 @ X0 @ X1 ) )
| ( big_f @ X0 @ X1 @ ( sk__1 @ X2 @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl313]) ).
thf(zip_derived_cl330,plain,
! [X0: $i,X1: $i,X2: $i] : ( big_f @ X0 @ X1 @ ( sk__1 @ X2 @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl319]) ).
thf(zip_derived_cl313_036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X0 @ X2 @ X1 )
| ( big_f @ X1 @ X0 @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl308,zip_derived_cl235]) ).
thf(zip_derived_cl334,plain,
! [X0: $i,X1: $i,X2: $i] : ( big_f @ ( sk__1 @ X2 @ X1 @ X0 ) @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl313]) ).
thf(zip_derived_cl349,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X2 @ X1 @ X0 )
| ( big_f @ X1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl334]) ).
thf(zip_derived_cl62_037,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( big_f @ X1 @ X2 @ ( sk__1 @ X0 @ X1 @ X2 ) )
| ( big_f @ X2 @ X1 @ X0 )
| ~ ( big_f @ X0 @ X2 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl30,zip_derived_cl41]) ).
thf(zip_derived_cl330_038,plain,
! [X0: $i,X1: $i,X2: $i] : ( big_f @ X0 @ X1 @ ( sk__1 @ X2 @ X0 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl319]) ).
thf(zip_derived_cl333,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( big_f @ X2 @ X1 @ X0 )
| ~ ( big_f @ X0 @ X2 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl330]) ).
thf(zip_derived_cl359,plain,
! [X0: $i,X1: $i,X2: $i] : ( big_f @ X1 @ X0 @ X2 ),
inference(clc,[status(thm)],[zip_derived_cl349,zip_derived_cl333]) ).
thf(zip_derived_cl359_039,plain,
! [X0: $i,X1: $i,X2: $i] : ( big_f @ X1 @ X0 @ X2 ),
inference(clc,[status(thm)],[zip_derived_cl349,zip_derived_cl333]) ).
thf(zip_derived_cl359_040,plain,
! [X0: $i,X1: $i,X2: $i] : ( big_f @ X1 @ X0 @ X2 ),
inference(clc,[status(thm)],[zip_derived_cl349,zip_derived_cl333]) ).
thf(zip_derived_cl359_041,plain,
! [X0: $i,X1: $i,X2: $i] : ( big_f @ X1 @ X0 @ X2 ),
inference(clc,[status(thm)],[zip_derived_cl349,zip_derived_cl333]) ).
thf(zip_derived_cl360,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl359,zip_derived_cl359,zip_derived_cl359,zip_derived_cl359]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN353+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NPxtecWXXj true
% 0.13/0.35 % Computer : n028.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 : Sat Aug 26 17:42:07 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.35 % Running portfolio for 300 s
% 0.20/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.36 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.83/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.83/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.83/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.83/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.83/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.83/0.81 % Solved by fo/fo6_bce.sh.
% 0.83/0.81 % BCE start: 31
% 0.83/0.81 % BCE eliminated: 0
% 0.83/0.81 % PE start: 31
% 0.83/0.81 logic: neq
% 0.83/0.81 % PE eliminated: 14
% 0.83/0.81 % done 95 iterations in 0.068s
% 0.83/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.83/0.81 % SZS output start Refutation
% See solution above
% 0.83/0.81
% 0.83/0.81
% 0.83/0.81 % Terminating...
% 1.56/0.87 % Runner terminated.
% 1.56/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------