TSTP Solution File: NUN058+2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN058+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ML1GRfRWYq true
% Computer : n029.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 12:54:16 EDT 2023
% Result : Theorem 88.08s 13.22s
% Output : Refutation 88.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 59
% Syntax : Number of formulae : 246 ( 94 unt; 37 typ; 0 def)
% Number of atoms : 480 ( 163 equ; 0 cnn)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 1847 ( 234 ~; 208 |; 55 &;1342 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 87 ( 87 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 29 usr; 2 con; 0-4 aty)
% Number of variables : 561 ( 0 ^; 510 !; 51 ?; 561 :)
% Comments :
%------------------------------------------------------------------------------
thf(r3_type,type,
r3: $i > $i > $i > $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(r2_type,type,
r2: $i > $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i > $i ).
thf(r1_type,type,
r1: $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(sk__10_type,type,
sk__10: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $i > $i > $i > $o ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i > $i > $i ).
thf(sk__14_type,type,
sk__14: $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(sk__15_type,type,
sk__15: $i > $i ).
thf(sk__6_type,type,
sk__6: $i > $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(sk__8_type,type,
sk__8: $i > $i > $i ).
thf(r4_type,type,
r4: $i > $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(axiom_2,axiom,
! [X11: $i] :
? [Y21: $i] :
! [X12: $i] :
( ( ~ ( r2 @ X11 @ X12 )
& ( X12 != Y21 ) )
| ( ( r2 @ X11 @ X12 )
& ( X12 = Y21 ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [X12: $i,Y21: $i,X11: $i] :
( ( zip_tseitin_3 @ X12 @ Y21 @ X11 )
=> ( ( X12 = Y21 )
& ( r2 @ X11 @ X12 ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [X12: $i,Y21: $i,X11: $i] :
( ( zip_tseitin_2 @ X12 @ Y21 @ X11 )
=> ( ( X12 != Y21 )
& ~ ( r2 @ X11 @ X12 ) ) ) ).
thf(zf_stmt_4,axiom,
! [X11: $i] :
? [Y21: $i] :
! [X12: $i] :
( ( zip_tseitin_3 @ X12 @ Y21 @ X11 )
| ( zip_tseitin_2 @ X12 @ Y21 @ X11 ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X0 @ ( sk__1 @ X1 ) @ X1 )
| ( zip_tseitin_2 @ X0 @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 != X0 )
| ~ ( zip_tseitin_2 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl185,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X1 @ ( sk__1 @ X0 ) @ X0 )
| ( X1
!= ( sk__1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl5]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r2 @ X0 @ X1 )
| ~ ( zip_tseitin_3 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl200,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( sk__1 @ X0 ) )
| ( r2 @ X0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl185,zip_derived_cl8]) ).
thf(zip_derived_cl248,plain,
! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl200]) ).
thf(zip_derived_cl248_001,plain,
! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl200]) ).
thf(zip_derived_cl248_002,plain,
! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl200]) ).
thf(zip_derived_cl248_003,plain,
! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl200]) ).
thf(axiom_4a,axiom,
! [X4: $i] :
? [Y9: $i] :
( ( Y9 = X4 )
& ? [Y16: $i] :
( ( r3 @ X4 @ Y16 @ Y9 )
& ( r1 @ Y16 ) ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i] : ( r3 @ X0 @ ( sk__13 @ X0 ) @ ( sk__12 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(axiom_1,axiom,
? [Y24: $i] :
! [X19: $i] :
( ( ~ ( r1 @ X19 )
& ( X19 != Y24 ) )
| ( ( r1 @ X19 )
& ( X19 = Y24 ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_6,axiom,
! [X19: $i,Y24: $i] :
( ( zip_tseitin_1 @ X19 @ Y24 )
=> ( ( X19 = Y24 )
& ( r1 @ X19 ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_8,axiom,
! [X19: $i,Y24: $i] :
( ( zip_tseitin_0 @ X19 @ Y24 )
=> ( ( X19 != Y24 )
& ~ ( r1 @ X19 ) ) ) ).
thf(zf_stmt_9,axiom,
? [Y24: $i] :
! [X19: $i] :
( ( zip_tseitin_1 @ X19 @ Y24 )
| ( zip_tseitin_0 @ X19 @ Y24 ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk_ )
| ( zip_tseitin_0 @ X0 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl182,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk_ )
| ~ ( r1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl193,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl182,zip_derived_cl2]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl220,plain,
! [X0: $i] :
( ( sk__13 @ X0 )
= sk_ ),
inference('s_sup+',[status(thm)],[zip_derived_cl193,zip_derived_cl32]) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ( sk__12 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl260,plain,
! [X0: $i] : ( r3 @ X0 @ sk_ @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl220,zip_derived_cl33]) ).
thf(axiom_3,axiom,
! [X13: $i,X14: $i] :
? [Y22: $i] :
! [X15: $i] :
( ( ~ ( r3 @ X13 @ X14 @ X15 )
& ( X15 != Y22 ) )
| ( ( r3 @ X13 @ X14 @ X15 )
& ( X15 = Y22 ) ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_5: $i > $i > $i > $i > $o ).
thf(zf_stmt_11,axiom,
! [X15: $i,Y22: $i,X14: $i,X13: $i] :
( ( zip_tseitin_5 @ X15 @ Y22 @ X14 @ X13 )
=> ( ( X15 = Y22 )
& ( r3 @ X13 @ X14 @ X15 ) ) ) ).
thf(zf_stmt_12,type,
zip_tseitin_4: $i > $i > $i > $i > $o ).
thf(zf_stmt_13,axiom,
! [X15: $i,Y22: $i,X14: $i,X13: $i] :
( ( zip_tseitin_4 @ X15 @ Y22 @ X14 @ X13 )
=> ( ( X15 != Y22 )
& ~ ( r3 @ X13 @ X14 @ X15 ) ) ) ).
thf(zf_stmt_14,axiom,
! [X13: $i,X14: $i] :
? [Y22: $i] :
! [X15: $i] :
( ( zip_tseitin_5 @ X15 @ Y22 @ X14 @ X13 )
| ( zip_tseitin_4 @ X15 @ Y22 @ X14 @ X13 ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X0 @ ( sk__2 @ X1 @ X2 ) @ X1 @ X2 )
| ( zip_tseitin_4 @ X0 @ ( sk__2 @ X1 @ X2 ) @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r3 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_4 @ X2 @ X3 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl188,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X2 @ ( sk__2 @ X1 @ X0 ) @ X1 @ X0 )
| ~ ( r3 @ X0 @ X1 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl11]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_5 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl205,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r3 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl188,zip_derived_cl12]) ).
thf(zip_derived_cl269,plain,
! [X0: $i] :
( X0
= ( sk__2 @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl205]) ).
thf(axiom_1a,axiom,
! [X1: $i,X8: $i] :
? [Y4: $i] :
( ? [Y7: $i] :
( ( r3 @ X1 @ X8 @ Y7 )
& ( r2 @ Y7 @ Y4 ) )
& ? [Y5: $i] :
( ( Y5 = Y4 )
& ? [Y15: $i] :
( ( r3 @ X1 @ Y15 @ Y5 )
& ( r2 @ X8 @ Y15 ) ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] : ( r2 @ ( sk__5 @ X0 @ X1 ) @ ( sk__4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] : ( r3 @ X0 @ X1 @ ( sk__5 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
thf(zip_derived_cl205_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r3 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl188,zip_derived_cl12]) ).
thf(zip_derived_cl268,plain,
! [X0: $i,X1: $i] :
( ( sk__5 @ X1 @ X0 )
= ( sk__2 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl205]) ).
thf(zip_derived_cl457,plain,
! [X0: $i,X1: $i] : ( r2 @ ( sk__2 @ X0 @ X1 ) @ ( sk__4 @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl268]) ).
thf(zip_derived_cl517,plain,
! [X0: $i] : ( r2 @ X0 @ ( sk__4 @ sk_ @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl269,zip_derived_cl457]) ).
thf(zip_derived_cl9_005,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X0 @ ( sk__1 @ X1 ) @ X1 )
| ( zip_tseitin_2 @ X0 @ ( sk__1 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2 @ X0 @ X1 )
| ~ ( zip_tseitin_2 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl186,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X1 @ ( sk__1 @ X0 ) @ X0 )
| ~ ( r2 @ X0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl6]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_3 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl201,plain,
! [X0: $i,X1: $i] :
( ~ ( r2 @ X0 @ X1 )
| ( X1
= ( sk__1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl186,zip_derived_cl7]) ).
thf(zip_derived_cl531,plain,
! [X0: $i] :
( ( sk__4 @ sk_ @ X0 )
= ( sk__1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl517,zip_derived_cl201]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] : ( r3 @ X0 @ ( sk__7 @ X1 @ X0 ) @ ( sk__6 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( sk__6 @ X0 @ X1 )
= ( sk__4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
thf(zip_derived_cl230,plain,
! [X0: $i,X1: $i] : ( r3 @ X0 @ ( sk__7 @ X1 @ X0 ) @ ( sk__4 @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl20]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] : ( r2 @ X0 @ ( sk__7 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
thf(zip_derived_cl201_006,plain,
! [X0: $i,X1: $i] :
( ~ ( r2 @ X0 @ X1 )
| ( X1
= ( sk__1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl186,zip_derived_cl7]) ).
thf(zip_derived_cl249,plain,
! [X0: $i,X1: $i] :
( ( sk__7 @ X1 @ X0 )
= ( sk__1 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl201]) ).
thf(zip_derived_cl371,plain,
! [X0: $i,X1: $i] : ( r3 @ X0 @ ( sk__1 @ X1 ) @ ( sk__4 @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl230,zip_derived_cl249]) ).
thf(zip_derived_cl546,plain,
! [X0: $i] : ( r3 @ X0 @ ( sk__1 @ sk_ ) @ ( sk__1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl531,zip_derived_cl371]) ).
thf(zip_derived_cl205_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r3 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl188,zip_derived_cl12]) ).
thf(zip_derived_cl578,plain,
! [X0: $i] :
( ( sk__1 @ X0 )
= ( sk__2 @ ( sk__1 @ sk_ ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl546,zip_derived_cl205]) ).
thf(zip_derived_cl457_008,plain,
! [X0: $i,X1: $i] : ( r2 @ ( sk__2 @ X0 @ X1 ) @ ( sk__4 @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl268]) ).
thf(zip_derived_cl201_009,plain,
! [X0: $i,X1: $i] :
( ~ ( r2 @ X0 @ X1 )
| ( X1
= ( sk__1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl186,zip_derived_cl7]) ).
thf(zip_derived_cl511,plain,
! [X0: $i,X1: $i] :
( ( sk__4 @ X1 @ X0 )
= ( sk__1 @ ( sk__2 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl201]) ).
thf(zip_derived_cl720,plain,
! [X0: $i] :
( ( sk__4 @ ( sk__1 @ sk_ ) @ X0 )
= ( sk__1 @ ( sk__1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl578,zip_derived_cl511]) ).
thf(zip_derived_cl371_010,plain,
! [X0: $i,X1: $i] : ( r3 @ X0 @ ( sk__1 @ X1 ) @ ( sk__4 @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl230,zip_derived_cl249]) ).
thf(zip_derived_cl205_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r3 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl188,zip_derived_cl12]) ).
thf(zip_derived_cl442,plain,
! [X0: $i,X1: $i] :
( ( sk__4 @ X1 @ X0 )
= ( sk__2 @ ( sk__1 @ X1 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl371,zip_derived_cl205]) ).
thf(zip_derived_cl511_012,plain,
! [X0: $i,X1: $i] :
( ( sk__4 @ X1 @ X0 )
= ( sk__1 @ ( sk__2 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl201]) ).
thf(zip_derived_cl719,plain,
! [X0: $i,X1: $i] :
( ( sk__4 @ ( sk__1 @ X1 ) @ X0 )
= ( sk__1 @ ( sk__4 @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl442,zip_derived_cl511]) ).
thf(zip_derived_cl442_013,plain,
! [X0: $i,X1: $i] :
( ( sk__4 @ X1 @ X0 )
= ( sk__2 @ ( sk__1 @ X1 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl371,zip_derived_cl205]) ).
thf(axiom_5a,axiom,
! [X5: $i] :
? [Y8: $i] :
( ? [Y18: $i] :
( ( Y8 = Y18 )
& ( r1 @ Y18 ) )
& ? [Y17: $i] :
( ( r4 @ X5 @ Y17 @ Y8 )
& ( r1 @ Y17 ) ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i] : ( r4 @ X0 @ ( sk__16 @ X0 ) @ ( sk__14 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl35,plain,
! [X0: $i] : ( r1 @ ( sk__16 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl193_014,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl182,zip_derived_cl2]) ).
thf(zip_derived_cl226,plain,
! [X0: $i] :
( ( sk__16 @ X0 )
= sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl193]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] : ( r1 @ ( sk__15 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ( sk__14 @ X0 )
= ( sk__15 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl234,plain,
! [X0: $i] : ( r1 @ ( sk__14 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl36]) ).
thf(zip_derived_cl193_015,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl182,zip_derived_cl2]) ).
thf(zip_derived_cl236,plain,
! [X0: $i] :
( ( sk__14 @ X0 )
= sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl234,zip_derived_cl193]) ).
thf(zip_derived_cl261,plain,
! [X0: $i] : ( r4 @ X0 @ sk_ @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl226,zip_derived_cl236]) ).
thf(axiom_4,axiom,
! [X16: $i,X17: $i] :
? [Y23: $i] :
! [X18: $i] :
( ( ~ ( r4 @ X16 @ X17 @ X18 )
& ( X18 != Y23 ) )
| ( ( r4 @ X16 @ X17 @ X18 )
& ( X18 = Y23 ) ) ) ).
thf(zf_stmt_15,type,
zip_tseitin_7: $i > $i > $i > $i > $o ).
thf(zf_stmt_16,axiom,
! [X18: $i,Y23: $i,X17: $i,X16: $i] :
( ( zip_tseitin_7 @ X18 @ Y23 @ X17 @ X16 )
=> ( ( X18 = Y23 )
& ( r4 @ X16 @ X17 @ X18 ) ) ) ).
thf(zf_stmt_17,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
thf(zf_stmt_18,axiom,
! [X18: $i,Y23: $i,X17: $i,X16: $i] :
( ( zip_tseitin_6 @ X18 @ Y23 @ X17 @ X16 )
=> ( ( X18 != Y23 )
& ~ ( r4 @ X16 @ X17 @ X18 ) ) ) ).
thf(zf_stmt_19,axiom,
! [X16: $i,X17: $i] :
? [Y23: $i] :
! [X18: $i] :
( ( zip_tseitin_7 @ X18 @ Y23 @ X17 @ X16 )
| ( zip_tseitin_6 @ X18 @ Y23 @ X17 @ X16 ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_7 @ X0 @ ( sk__3 @ X1 @ X2 ) @ X1 @ X2 )
| ( zip_tseitin_6 @ X0 @ ( sk__3 @ X1 @ X2 ) @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r4 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_6 @ X2 @ X3 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf(zip_derived_cl190,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_7 @ X2 @ ( sk__3 @ X1 @ X0 ) @ X1 @ X0 )
| ~ ( r4 @ X0 @ X1 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl16]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_7 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl209,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r4 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__3 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl190,zip_derived_cl17]) ).
thf(zip_derived_cl307,plain,
! [X0: $i] :
( sk_
= ( sk__3 @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl209]) ).
thf(axiom_2a,axiom,
! [X2: $i,X9: $i] :
? [Y2: $i] :
( ? [Y6: $i] :
( ( r4 @ X2 @ X9 @ Y6 )
& ( r3 @ Y6 @ X2 @ Y2 ) )
& ? [Y3: $i] :
( ( Y3 = Y2 )
& ? [Y14: $i] :
( ( r4 @ X2 @ Y14 @ Y3 )
& ( r2 @ X9 @ Y14 ) ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] : ( r3 @ ( sk__9 @ X0 @ X1 ) @ X1 @ ( sk__8 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_2a]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] : ( r4 @ X0 @ X1 @ ( sk__9 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_2a]) ).
thf(zip_derived_cl209_016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r4 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__3 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl190,zip_derived_cl17]) ).
thf(zip_derived_cl306,plain,
! [X0: $i,X1: $i] :
( ( sk__9 @ X1 @ X0 )
= ( sk__3 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl209]) ).
thf(zip_derived_cl475,plain,
! [X0: $i,X1: $i] : ( r3 @ ( sk__3 @ X0 @ X1 ) @ X1 @ ( sk__8 @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl306]) ).
thf(zip_derived_cl927,plain,
! [X0: $i] : ( r3 @ sk_ @ X0 @ ( sk__8 @ sk_ @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl307,zip_derived_cl475]) ).
thf(zip_derived_cl205_017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r3 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl188,zip_derived_cl12]) ).
thf(zip_derived_cl939,plain,
! [X0: $i] :
( ( sk__8 @ sk_ @ X0 )
= ( sk__2 @ X0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl927,zip_derived_cl205]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] : ( r4 @ X0 @ ( sk__11 @ X1 @ X0 ) @ ( sk__10 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_2a]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ( sk__10 @ X0 @ X1 )
= ( sk__8 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_2a]) ).
thf(zip_derived_cl252,plain,
! [X0: $i,X1: $i] : ( r4 @ X0 @ ( sk__11 @ X1 @ X0 ) @ ( sk__8 @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl25]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] : ( r2 @ X0 @ ( sk__11 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_2a]) ).
thf(zip_derived_cl201_018,plain,
! [X0: $i,X1: $i] :
( ~ ( r2 @ X0 @ X1 )
| ( X1
= ( sk__1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl186,zip_derived_cl7]) ).
thf(zip_derived_cl250,plain,
! [X0: $i,X1: $i] :
( ( sk__11 @ X1 @ X0 )
= ( sk__1 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl201]) ).
thf(zip_derived_cl389,plain,
! [X0: $i,X1: $i] : ( r4 @ X0 @ ( sk__1 @ X1 ) @ ( sk__8 @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl252,zip_derived_cl250]) ).
thf(zip_derived_cl209_019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r4 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__3 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl190,zip_derived_cl17]) ).
thf(zip_derived_cl486,plain,
! [X0: $i,X1: $i] :
( ( sk__8 @ X1 @ X0 )
= ( sk__3 @ ( sk__1 @ X1 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl209]) ).
thf(zip_derived_cl19_020,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_7 @ X0 @ ( sk__3 @ X1 @ X2 ) @ X1 @ X2 )
| ( zip_tseitin_6 @ X0 @ ( sk__3 @ X1 @ X2 ) @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X0 )
| ~ ( zip_tseitin_6 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf(zip_derived_cl189,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_7 @ X2 @ ( sk__3 @ X1 @ X0 ) @ X1 @ X0 )
| ( X2
!= ( sk__3 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl15]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r4 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_7 @ X2 @ X3 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl208,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( sk__3 @ X1 @ X0 ) )
| ( r4 @ X0 @ X1 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl189,zip_derived_cl18]) ).
thf(zip_derived_cl682,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( sk__8 @ X1 @ X0 ) )
| ( r4 @ X0 @ ( sk__1 @ X1 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl208]) ).
thf(zip_derived_cl209_021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r4 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__3 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl190,zip_derived_cl17]) ).
thf(zip_derived_cl696,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( sk__8 @ X1 @ X2 ) )
| ( X0
= ( sk__3 @ ( sk__1 @ X1 ) @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl209]) ).
thf(zip_derived_cl952,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( sk__2 @ X0 @ sk_ ) )
| ( X1
= ( sk__3 @ ( sk__1 @ sk_ ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl939,zip_derived_cl696]) ).
thf(zip_derived_cl958,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( sk__4 @ X0 @ sk_ ) )
| ( X1
= ( sk__3 @ ( sk__1 @ sk_ ) @ ( sk__1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl952]) ).
thf(zip_derived_cl3878,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( sk__1 @ ( sk__4 @ X0 @ sk_ ) ) )
| ( X1
= ( sk__3 @ ( sk__1 @ sk_ ) @ ( sk__1 @ ( sk__1 @ X0 ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl958]) ).
thf(zip_derived_cl4034,plain,
! [X0: $i] :
( ( X0
!= ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) )
| ( X0
= ( sk__3 @ ( sk__1 @ sk_ ) @ ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl3878]) ).
thf(zip_derived_cl4144,plain,
( ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) )
= ( sk__3 @ ( sk__1 @ sk_ ) @ ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl4034]) ).
thf(zip_derived_cl486_022,plain,
! [X0: $i,X1: $i] :
( ( sk__8 @ X1 @ X0 )
= ( sk__3 @ ( sk__1 @ X1 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl389,zip_derived_cl209]) ).
thf(zip_derived_cl4240,plain,
( ( sk__8 @ sk_ @ ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) )
= ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4144,zip_derived_cl486]) ).
thf(zip_derived_cl719_023,plain,
! [X0: $i,X1: $i] :
( ( sk__4 @ ( sk__1 @ X1 ) @ X0 )
= ( sk__1 @ ( sk__4 @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl442,zip_derived_cl511]) ).
thf(zip_derived_cl531_024,plain,
! [X0: $i] :
( ( sk__4 @ sk_ @ X0 )
= ( sk__1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl517,zip_derived_cl201]) ).
thf(zip_derived_cl511_025,plain,
! [X0: $i,X1: $i] :
( ( sk__4 @ X1 @ X0 )
= ( sk__1 @ ( sk__2 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl201]) ).
thf(zip_derived_cl531_026,plain,
! [X0: $i] :
( ( sk__4 @ sk_ @ X0 )
= ( sk__1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl517,zip_derived_cl201]) ).
thf(zip_derived_cl307_027,plain,
! [X0: $i] :
( sk_
= ( sk__3 @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl209]) ).
thf(zip_derived_cl511_028,plain,
! [X0: $i,X1: $i] :
( ( sk__4 @ X1 @ X0 )
= ( sk__1 @ ( sk__2 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl457,zip_derived_cl201]) ).
thf(zip_derived_cl200_029,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( sk__1 @ X0 ) )
| ( r2 @ X0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl185,zip_derived_cl8]) ).
thf(zip_derived_cl711,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( sk__4 @ X1 @ X0 ) )
| ( r2 @ ( sk__2 @ X1 @ X0 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl200]) ).
thf(zip_derived_cl475_030,plain,
! [X0: $i,X1: $i] : ( r3 @ ( sk__3 @ X0 @ X1 ) @ X1 @ ( sk__8 @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl306]) ).
thf(zip_derived_cl205_031,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r3 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl188,zip_derived_cl12]) ).
thf(zip_derived_cl925,plain,
! [X0: $i,X1: $i] :
( ( sk__8 @ X1 @ X0 )
= ( sk__2 @ X0 @ ( sk__3 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl205]) ).
thf(zip_derived_cl457_032,plain,
! [X0: $i,X1: $i] : ( r2 @ ( sk__2 @ X0 @ X1 ) @ ( sk__4 @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl268]) ).
thf(zip_derived_cl1776,plain,
! [X0: $i,X1: $i] : ( r2 @ ( sk__8 @ X1 @ X0 ) @ ( sk__4 @ X0 @ ( sk__3 @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl925,zip_derived_cl457]) ).
thf(axiom_3a,axiom,
! [X3: $i,X10: $i] :
( ( X3 = X10 )
| ! [Y12: $i] :
( ~ ( r2 @ X10 @ Y12 )
| ! [Y13: $i] :
( ( Y13 != Y12 )
| ~ ( r2 @ X3 @ Y13 ) ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ( X3 != X2 )
| ~ ( r2 @ X1 @ X3 )
| ~ ( r2 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[axiom_3a]) ).
thf(zip_derived_cl235,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2 @ X1 @ X0 )
| ~ ( r2 @ X2 @ X0 )
| ( X2 = X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl2433,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2 @ X2 @ ( sk__4 @ X0 @ ( sk__3 @ X1 @ X0 ) ) )
| ( X2
= ( sk__8 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1776,zip_derived_cl235]) ).
thf(zip_derived_cl2509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( sk__4 @ X0 @ ( sk__3 @ X1 @ X0 ) )
!= ( sk__4 @ X3 @ X2 ) )
| ( ( sk__2 @ X3 @ X2 )
= ( sk__8 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl711,zip_derived_cl2433]) ).
thf(zip_derived_cl2930,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__4 @ X2 @ sk_ )
!= ( sk__4 @ X1 @ X0 ) )
| ( ( sk__2 @ X1 @ X0 )
= ( sk__8 @ sk_ @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl2509]) ).
thf(zip_derived_cl2957,plain,
! [X0: $i,X1: $i] :
( ( ( sk__4 @ X1 @ sk_ )
!= ( sk__1 @ X0 ) )
| ( ( sk__2 @ sk_ @ X0 )
= ( sk__8 @ sk_ @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl531,zip_derived_cl2930]) ).
thf(zip_derived_cl2976,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__4 @ X2 @ sk_ )
!= ( sk__4 @ X1 @ X0 ) )
| ( ( sk__2 @ sk_ @ ( sk__2 @ X1 @ X0 ) )
= ( sk__8 @ sk_ @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl2957]) ).
thf(zip_derived_cl3310,plain,
! [X0: $i,X1: $i] :
( ( ( sk__4 @ X1 @ sk_ )
!= ( sk__1 @ X0 ) )
| ( ( sk__2 @ sk_ @ ( sk__2 @ sk_ @ X0 ) )
= ( sk__8 @ sk_ @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl531,zip_derived_cl2976]) ).
thf(zip_derived_cl269_033,plain,
! [X0: $i] :
( X0
= ( sk__2 @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl205]) ).
thf(zip_derived_cl269_034,plain,
! [X0: $i] :
( X0
= ( sk__2 @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl205]) ).
thf(zip_derived_cl3316,plain,
! [X0: $i,X1: $i] :
( ( ( sk__4 @ X1 @ sk_ )
!= ( sk__1 @ X0 ) )
| ( X0
= ( sk__8 @ sk_ @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3310,zip_derived_cl269,zip_derived_cl269]) ).
thf(zip_derived_cl3885,plain,
! [X0: $i,X1: $i] :
( ( ( sk__1 @ ( sk__4 @ X0 @ sk_ ) )
!= ( sk__1 @ X1 ) )
| ( X1
= ( sk__8 @ sk_ @ ( sk__1 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl719,zip_derived_cl3316]) ).
thf(zip_derived_cl4015,plain,
! [X0: $i] :
( ( sk__4 @ X0 @ sk_ )
= ( sk__8 @ sk_ @ ( sk__1 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl3885]) ).
thf(zip_derived_cl4311,plain,
( ( sk__4 @ ( sk__1 @ ( sk__1 @ sk_ ) ) @ sk_ )
= ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4240,zip_derived_cl4015]) ).
thf(zip_derived_cl719_035,plain,
! [X0: $i,X1: $i] :
( ( sk__4 @ ( sk__1 @ X1 ) @ X0 )
= ( sk__1 @ ( sk__4 @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl442,zip_derived_cl511]) ).
thf(zip_derived_cl371_036,plain,
! [X0: $i,X1: $i] : ( r3 @ X0 @ ( sk__1 @ X1 ) @ ( sk__4 @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl230,zip_derived_cl249]) ).
thf(zip_derived_cl3827,plain,
! [X0: $i,X1: $i] : ( r3 @ X0 @ ( sk__1 @ ( sk__1 @ X1 ) ) @ ( sk__1 @ ( sk__4 @ X1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl719,zip_derived_cl371]) ).
thf(zip_derived_cl4423,plain,
r3 @ sk_ @ ( sk__1 @ ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ) @ ( sk__1 @ ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4311,zip_derived_cl3827]) ).
thf(zip_derived_cl248_037,plain,
! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl200]) ).
thf(zip_derived_cl248_038,plain,
! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl200]) ).
thf(zip_derived_cl720_039,plain,
! [X0: $i] :
( ( sk__4 @ ( sk__1 @ sk_ ) @ X0 )
= ( sk__1 @ ( sk__1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl578,zip_derived_cl511]) ).
thf(zip_derived_cl442_040,plain,
! [X0: $i,X1: $i] :
( ( sk__4 @ X1 @ X0 )
= ( sk__2 @ ( sk__1 @ X1 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl371,zip_derived_cl205]) ).
thf(zip_derived_cl14_041,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X0 @ ( sk__2 @ X1 @ X2 ) @ X1 @ X2 )
| ( zip_tseitin_4 @ X0 @ ( sk__2 @ X1 @ X2 ) @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X0 )
| ~ ( zip_tseitin_4 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl187,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X2 @ ( sk__2 @ X1 @ X0 ) @ X1 @ X0 )
| ( X2
!= ( sk__2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl10]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r3 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_5 @ X2 @ X3 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl204,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( sk__2 @ X1 @ X0 ) )
| ( r3 @ X0 @ X1 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl187,zip_derived_cl13]) ).
thf(zip_derived_cl650,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( sk__4 @ X1 @ X0 ) )
| ( r3 @ X0 @ ( sk__1 @ X1 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl204]) ).
thf(zip_derived_cl205_042,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r3 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl188,zip_derived_cl12]) ).
thf(zip_derived_cl663,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( sk__4 @ X1 @ X2 ) )
| ( X0
= ( sk__2 @ ( sk__1 @ X1 ) @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl205]) ).
thf(zip_derived_cl763,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( sk__1 @ ( sk__1 @ X0 ) ) )
| ( X1
= ( sk__2 @ ( sk__1 @ ( sk__1 @ sk_ ) ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl663]) ).
thf(zip_derived_cl855,plain,
! [X0: $i] :
( ( sk__1 @ ( sk__1 @ X0 ) )
= ( sk__2 @ ( sk__1 @ ( sk__1 @ sk_ ) ) @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl763]) ).
thf(zip_derived_cl952_043,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( sk__2 @ X0 @ sk_ ) )
| ( X1
= ( sk__3 @ ( sk__1 @ sk_ ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl939,zip_derived_cl696]) ).
thf(zip_derived_cl960,plain,
! [X0: $i] :
( ( X0
!= ( sk__1 @ ( sk__1 @ sk_ ) ) )
| ( X0
= ( sk__3 @ ( sk__1 @ sk_ ) @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl855,zip_derived_cl952]) ).
thf(zip_derived_cl1007,plain,
( ( sk__1 @ ( sk__1 @ sk_ ) )
= ( sk__3 @ ( sk__1 @ sk_ ) @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl960]) ).
thf(zip_derived_cl925_044,plain,
! [X0: $i,X1: $i] :
( ( sk__8 @ X1 @ X0 )
= ( sk__2 @ X0 @ ( sk__3 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl205]) ).
thf(zip_derived_cl1788,plain,
( ( sk__8 @ ( sk__1 @ sk_ ) @ ( sk__1 @ ( sk__1 @ sk_ ) ) )
= ( sk__2 @ ( sk__1 @ ( sk__1 @ sk_ ) ) @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1007,zip_derived_cl925]) ).
thf(zip_derived_cl855_045,plain,
! [X0: $i] :
( ( sk__1 @ ( sk__1 @ X0 ) )
= ( sk__2 @ ( sk__1 @ ( sk__1 @ sk_ ) ) @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl763]) ).
thf(zip_derived_cl1793,plain,
( ( sk__8 @ ( sk__1 @ sk_ ) @ ( sk__1 @ ( sk__1 @ sk_ ) ) )
= ( sk__1 @ ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1788,zip_derived_cl855]) ).
thf(zip_derived_cl696_046,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( sk__8 @ X1 @ X2 ) )
| ( X0
= ( sk__3 @ ( sk__1 @ X1 ) @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl682,zip_derived_cl209]) ).
thf(zip_derived_cl2263,plain,
! [X0: $i] :
( ( X0
!= ( sk__1 @ ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ) )
| ( X0
= ( sk__3 @ ( sk__1 @ ( sk__1 @ sk_ ) ) @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1793,zip_derived_cl696]) ).
thf(zip_derived_cl2884,plain,
( ( sk__1 @ ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) )
= ( sk__3 @ ( sk__1 @ ( sk__1 @ sk_ ) ) @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2263]) ).
thf(zip_derived_cl720_047,plain,
! [X0: $i] :
( ( sk__4 @ ( sk__1 @ sk_ ) @ X0 )
= ( sk__1 @ ( sk__1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl578,zip_derived_cl511]) ).
thf(zip_derived_cl650_048,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( sk__4 @ X1 @ X0 ) )
| ( r3 @ X0 @ ( sk__1 @ X1 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl442,zip_derived_cl204]) ).
thf(zip_derived_cl208_049,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( sk__3 @ X1 @ X0 ) )
| ( r4 @ X0 @ X1 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl189,zip_derived_cl18]) ).
thf(zip_derived_cl289,plain,
! [X0: $i,X1: $i] : ( r4 @ X0 @ X1 @ ( sk__3 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl208]) ).
thf(evengreq4,conjecture,
? [Y1: $i] :
( ? [Y3: $i,Y5: $i] :
( ? [Y7: $i] :
( ? [Y9: $i] :
( ? [Y11: $i] :
( ? [Y13: $i] :
( ? [Y15: $i] :
( ( r2 @ Y15 @ Y13 )
& ( r1 @ Y15 ) )
& ( r2 @ Y13 @ Y11 ) )
& ( r2 @ Y11 @ Y9 ) )
& ( r2 @ Y9 @ Y7 ) )
& ( r3 @ Y3 @ Y7 @ Y5 ) )
& ( Y5 = Y1 ) )
& ? [Y2: $i,Y4: $i] :
( ? [Y8: $i] :
( ( Y8 = Y1 )
& ( r3 @ Y2 @ Y4 @ Y8 ) )
& ? [Y6: $i] :
( ( Y6 = Y1 )
& ? [Y10: $i] :
( ? [Y12: $i] :
( ? [Y14: $i] :
( ( r2 @ Y14 @ Y12 )
& ( r1 @ Y14 ) )
& ( r2 @ Y12 @ Y10 ) )
& ( r4 @ Y10 @ Y2 @ Y6 ) ) ) ) ) ).
thf(zf_stmt_20,negated_conjecture,
~ ? [Y1: $i] :
( ? [Y3: $i,Y5: $i] :
( ? [Y7: $i] :
( ? [Y9: $i] :
( ? [Y11: $i] :
( ? [Y13: $i] :
( ? [Y15: $i] :
( ( r2 @ Y15 @ Y13 )
& ( r1 @ Y15 ) )
& ( r2 @ Y13 @ Y11 ) )
& ( r2 @ Y11 @ Y9 ) )
& ( r2 @ Y9 @ Y7 ) )
& ( r3 @ Y3 @ Y7 @ Y5 ) )
& ( Y5 = Y1 ) )
& ? [Y2: $i,Y4: $i] :
( ? [Y8: $i] :
( ( Y8 = Y1 )
& ( r3 @ Y2 @ Y4 @ Y8 ) )
& ? [Y6: $i] :
( ( Y6 = Y1 )
& ? [Y10: $i] :
( ? [Y12: $i] :
( ? [Y14: $i] :
( ( r2 @ Y14 @ Y12 )
& ( r1 @ Y14 ) )
& ( r2 @ Y12 @ Y10 ) )
& ( r4 @ Y10 @ Y2 @ Y6 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[evengreq4]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
( ( X1 != X0 )
| ~ ( r2 @ X2 @ X3 )
| ~ ( r2 @ X4 @ X5 )
| ~ ( r2 @ X6 @ X4 )
| ~ ( r1 @ X6 )
| ~ ( r2 @ X5 @ X2 )
| ~ ( r3 @ X7 @ X3 @ X1 )
| ( X8 != X0 )
| ~ ( r3 @ X9 @ X10 @ X8 )
| ( X11 != X0 )
| ~ ( r4 @ X12 @ X9 @ X11 )
| ~ ( r1 @ X13 )
| ~ ( r2 @ X13 @ X14 )
| ~ ( r2 @ X14 @ X12 ) ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf(zip_derived_cl266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
( ~ ( r2 @ X1 @ X0 )
| ~ ( r2 @ X2 @ X1 )
| ~ ( r1 @ X2 )
| ~ ( r4 @ X0 @ X4 @ X3 )
| ( X3 != X5 )
| ~ ( r3 @ X4 @ X7 @ X6 )
| ( X6 != X5 )
| ~ ( r3 @ X9 @ X8 @ X5 )
| ~ ( r2 @ X11 @ X10 )
| ~ ( r1 @ X12 )
| ~ ( r2 @ X12 @ X13 )
| ~ ( r2 @ X13 @ X11 )
| ~ ( r2 @ X10 @ X8 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
( ~ ( r2 @ X1 @ X0 )
| ~ ( r2 @ X3 @ X2 )
| ~ ( r2 @ X4 @ X3 )
| ~ ( r1 @ X4 )
| ~ ( r2 @ X2 @ X1 )
| ~ ( r3 @ X6 @ X0 @ X5 )
| ( X7 != X5 )
| ~ ( r3 @ X9 @ X8 @ X7 )
| ~ ( r4 @ X10 @ X9 @ X5 )
| ~ ( r1 @ X11 )
| ~ ( r2 @ X11 @ X12 )
| ~ ( r2 @ X12 @ X10 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl266]) ).
thf(zip_derived_cl295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ~ ( r2 @ X1 @ X0 )
| ~ ( r2 @ X2 @ X1 )
| ~ ( r1 @ X2 )
| ~ ( r4 @ X0 @ X4 @ X3 )
| ~ ( r3 @ X4 @ X5 @ X3 )
| ~ ( r3 @ X7 @ X6 @ X3 )
| ~ ( r2 @ X9 @ X8 )
| ~ ( r1 @ X10 )
| ~ ( r2 @ X10 @ X11 )
| ~ ( r2 @ X11 @ X9 )
| ~ ( r2 @ X8 @ X6 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl278]) ).
thf(zip_derived_cl367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( ~ ( r2 @ X2 @ X0 )
| ~ ( r2 @ X3 @ X2 )
| ~ ( r1 @ X3 )
| ~ ( r3 @ X1 @ X4 @ ( sk__3 @ X1 @ X0 ) )
| ~ ( r3 @ X6 @ X5 @ ( sk__3 @ X1 @ X0 ) )
| ~ ( r2 @ X8 @ X7 )
| ~ ( r1 @ X9 )
| ~ ( r2 @ X9 @ X10 )
| ~ ( r2 @ X10 @ X8 )
| ~ ( r2 @ X7 @ X5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl295]) ).
thf(zip_derived_cl665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( ( ( sk__3 @ X1 @ X0 )
!= ( sk__4 @ X2 @ X1 ) )
| ~ ( r2 @ X3 @ X0 )
| ~ ( r2 @ X4 @ X3 )
| ~ ( r1 @ X4 )
| ~ ( r3 @ X6 @ X5 @ ( sk__3 @ X1 @ X0 ) )
| ~ ( r2 @ X8 @ X7 )
| ~ ( r1 @ X9 )
| ~ ( r2 @ X9 @ X10 )
| ~ ( r2 @ X10 @ X8 )
| ~ ( r2 @ X7 @ X5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl650,zip_derived_cl367]) ).
thf(zip_derived_cl1022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ( ( sk__3 @ X0 @ X1 )
!= ( sk__1 @ ( sk__1 @ X0 ) ) )
| ~ ( r2 @ X2 @ X1 )
| ~ ( r2 @ X3 @ X2 )
| ~ ( r1 @ X3 )
| ~ ( r3 @ X5 @ X4 @ ( sk__3 @ X0 @ X1 ) )
| ~ ( r2 @ X7 @ X6 )
| ~ ( r1 @ X8 )
| ~ ( r2 @ X8 @ X9 )
| ~ ( r2 @ X9 @ X7 )
| ~ ( r2 @ X6 @ X4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl720,zip_derived_cl665]) ).
thf(zip_derived_cl3325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( ( sk__1 @ ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) )
!= ( sk__1 @ ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ) )
| ~ ( r2 @ X0 @ ( sk__1 @ ( sk__1 @ sk_ ) ) )
| ~ ( r2 @ X1 @ X0 )
| ~ ( r1 @ X1 )
| ~ ( r3 @ X3 @ X2 @ ( sk__1 @ ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ) )
| ~ ( r2 @ X5 @ X4 )
| ~ ( r1 @ X6 )
| ~ ( r2 @ X6 @ X7 )
| ~ ( r2 @ X7 @ X5 )
| ~ ( r2 @ X4 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2884,zip_derived_cl1022]) ).
thf(zip_derived_cl3329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r2 @ X4 @ X2 )
| ~ ( r2 @ X7 @ X5 )
| ~ ( r2 @ X6 @ X7 )
| ~ ( r1 @ X6 )
| ~ ( r2 @ X5 @ X4 )
| ~ ( r3 @ X3 @ X2 @ ( sk__1 @ ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ) )
| ~ ( r1 @ X1 )
| ~ ( r2 @ X1 @ X0 )
| ~ ( r2 @ X0 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3325]) ).
thf(zip_derived_cl22343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( r2 @ X1 @ X0 )
| ~ ( r2 @ X3 @ X2 )
| ~ ( r2 @ X4 @ X3 )
| ~ ( r1 @ X4 )
| ~ ( r2 @ X2 @ X1 )
| ~ ( r3 @ X5 @ X0 @ ( sk__1 @ ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ) )
| ~ ( r1 @ X6 )
| ~ ( r2 @ X6 @ ( sk__1 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl3329]) ).
thf(zip_derived_cl40314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r2 @ X1 @ X0 )
| ~ ( r2 @ X3 @ X2 )
| ~ ( r2 @ X4 @ X3 )
| ~ ( r1 @ X4 )
| ~ ( r2 @ X2 @ X1 )
| ~ ( r3 @ X5 @ X0 @ ( sk__1 @ ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ) )
| ~ ( r1 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl22343]) ).
thf(zip_derived_cl32_050,plain,
! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl220_051,plain,
! [X0: $i] :
( ( sk__13 @ X0 )
= sk_ ),
inference('s_sup+',[status(thm)],[zip_derived_cl193,zip_derived_cl32]) ).
thf(zip_derived_cl224,plain,
r1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl220]) ).
thf(zip_derived_cl40327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r2 @ X1 @ X0 )
| ~ ( r2 @ X3 @ X2 )
| ~ ( r2 @ X4 @ X3 )
| ~ ( r1 @ X4 )
| ~ ( r2 @ X2 @ X1 )
| ~ ( r3 @ X5 @ X0 @ ( sk__1 @ ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl40314,zip_derived_cl224]) ).
thf(zip_derived_cl40342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r2 @ X0 @ ( sk__1 @ ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ) )
| ~ ( r2 @ X2 @ X1 )
| ~ ( r2 @ X3 @ X2 )
| ~ ( r1 @ X3 )
| ~ ( r2 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4423,zip_derived_cl40327]) ).
thf(zip_derived_cl40534,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2 @ X1 @ X0 )
| ~ ( r2 @ X2 @ X1 )
| ~ ( r1 @ X2 )
| ~ ( r2 @ X0 @ ( sk__1 @ ( sk__1 @ ( sk__1 @ sk_ ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl40342]) ).
thf(zip_derived_cl40583,plain,
! [X0: $i,X1: $i] :
( ~ ( r2 @ X0 @ ( sk__1 @ ( sk__1 @ sk_ ) ) )
| ~ ( r2 @ X1 @ X0 )
| ~ ( r1 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl40534]) ).
thf(zip_derived_cl40615,plain,
! [X0: $i] :
( ~ ( r2 @ X0 @ ( sk__1 @ sk_ ) )
| ~ ( r1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl40583]) ).
thf(zip_derived_cl40631,plain,
~ ( r1 @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl40615]) ).
thf(zip_derived_cl224_052,plain,
r1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl220]) ).
thf(zip_derived_cl40639,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl40631,zip_derived_cl224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN058+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ML1GRfRWYq true
% 0.17/0.34 % Computer : n029.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Sun Aug 27 09:28:40 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.17/0.34 % Running portfolio for 300 s
% 0.17/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.34 % Number of cores: 8
% 0.17/0.35 % Python version: Python 3.6.8
% 0.17/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 88.08/13.22 % Solved by fo/fo6_bce.sh.
% 88.08/13.22 % BCE start: 45
% 88.08/13.22 % BCE eliminated: 0
% 88.08/13.22 % PE start: 45
% 88.08/13.22 logic: eq
% 88.08/13.22 % PE eliminated: 13
% 88.08/13.22 % done 6080 iterations in 12.509s
% 88.08/13.22 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 88.08/13.22 % SZS output start Refutation
% See solution above
% 88.08/13.22
% 88.08/13.22
% 88.08/13.22 % Terminating...
% 88.47/13.27 % Runner terminated.
% 88.47/13.28 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------