TSTP Solution File: NUN072+2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN072+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fKlKdbNUeu true
% Computer : n015.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 12:54:22 EDT 2023
% Result : Theorem 0.59s 1.21s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 71
% Syntax : Number of formulae : 234 ( 62 unt; 44 typ; 0 def)
% Number of atoms : 436 ( 177 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1392 ( 191 ~; 185 |; 51 &; 955 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 100 ( 100 >; 0 *; 0 +; 0 <<)
% Number of symbols : 36 ( 34 usr; 2 con; 0-4 aty)
% Number of variables : 448 ( 0 ^; 403 !; 45 ?; 448 :)
% Comments :
%------------------------------------------------------------------------------
thf(r3_type,type,
r3: $i > $i > $i > $o ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $i > $i > $o ).
thf(sk__15_type,type,
sk__15: $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(sk__19_type,type,
sk__19: $i > $i ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $i > $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(r2_type,type,
r2: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i > $i > $i ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(r1_type,type,
r1: $i > $o ).
thf(sk__9_type,type,
sk__9: $i > $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(sk__10_type,type,
sk__10: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i > $i > $i ).
thf(sk__17_type,type,
sk__17: $i > $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i > $i > $i ).
thf(sk__8_type,type,
sk__8: $i > $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $i > $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(sk__14_type,type,
sk__14: $i > $i ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $i > $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(r4_type,type,
r4: $i > $i > $i > $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $i > $o ).
thf(sk__18_type,type,
sk__18: $i > $i ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
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_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_0,type,
zip_tseitin_5: $i > $i > $i > $i > $o ).
thf(zf_stmt_1,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_2,type,
zip_tseitin_4: $i > $i > $i > $i > $o ).
thf(zf_stmt_3,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_4,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_4]) ).
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_3]) ).
thf(zip_derived_cl184,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_1]) ).
thf(zip_derived_cl201,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r3 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl184,zip_derived_cl12]) ).
thf(zip_derived_cl210,plain,
! [X0: $i] :
( ( sk__12 @ X0 )
= ( sk__2 @ ( sk__13 @ X0 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl31,zip_derived_cl201]) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ( sk__12 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] : ( r1 @ ( sk__13 @ 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_cl178,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_cl189,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl178,zip_derived_cl2]) ).
thf(zip_derived_cl222,plain,
! [X0: $i] :
( ( sk__13 @ X0 )
= sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl189]) ).
thf(zip_derived_cl264,plain,
! [X0: $i] :
( X0
= ( sk__2 @ sk_ @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl33,zip_derived_cl222]) ).
thf(axiom_6a,axiom,
! [X6: $i] :
( ? [Y19: $i] :
( ( r1 @ Y19 )
& ( X6 = Y19 ) )
| ? [Y1: $i,Y11: $i] :
( ( r2 @ Y1 @ Y11 )
& ( X6 = Y11 ) ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_9: $i > $i > $i > $o ).
thf(zf_stmt_11,axiom,
! [Y11: $i,Y1: $i,X6: $i] :
( ( zip_tseitin_9 @ Y11 @ Y1 @ X6 )
=> ( ( X6 = Y11 )
& ( r2 @ Y1 @ Y11 ) ) ) ).
thf(zf_stmt_12,type,
zip_tseitin_8: $i > $i > $o ).
thf(zf_stmt_13,axiom,
! [Y19: $i,X6: $i] :
( ( zip_tseitin_8 @ Y19 @ X6 )
=> ( ( X6 = Y19 )
& ( r1 @ Y19 ) ) ) ).
thf(zf_stmt_14,axiom,
! [X6: $i] :
( ? [Y1: $i,Y11: $i] : ( zip_tseitin_9 @ Y11 @ Y1 @ X6 )
| ? [Y19: $i] : ( zip_tseitin_8 @ Y19 @ X6 ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ( zip_tseitin_9 @ ( sk__18 @ X0 ) @ ( sk__17 @ X0 ) @ X0 )
| ( zip_tseitin_8 @ ( sk__19 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ( r1 @ X0 )
| ~ ( zip_tseitin_8 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl180,plain,
! [X0: $i] :
( ( zip_tseitin_9 @ ( sk__18 @ X0 ) @ ( sk__17 @ X0 ) @ X0 )
| ( r1 @ ( sk__19 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl39]) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r2 @ X0 @ X1 )
| ~ ( zip_tseitin_9 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl194,plain,
! [X0: $i] :
( ( r1 @ ( sk__19 @ X0 ) )
| ( r2 @ ( sk__17 @ X0 ) @ ( sk__18 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl180,zip_derived_cl41]) ).
thf(axiom_2,axiom,
! [X11: $i] :
? [Y21: $i] :
! [X12: $i] :
( ( ~ ( r2 @ X11 @ X12 )
& ( X12 != Y21 ) )
| ( ( r2 @ X11 @ X12 )
& ( X12 = Y21 ) ) ) ).
thf(zf_stmt_15,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(zf_stmt_16,axiom,
! [X12: $i,Y21: $i,X11: $i] :
( ( zip_tseitin_3 @ X12 @ Y21 @ X11 )
=> ( ( X12 = Y21 )
& ( r2 @ X11 @ X12 ) ) ) ).
thf(zf_stmt_17,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zf_stmt_18,axiom,
! [X12: $i,Y21: $i,X11: $i] :
( ( zip_tseitin_2 @ X12 @ Y21 @ X11 )
=> ( ( X12 != Y21 )
& ~ ( r2 @ X11 @ X12 ) ) ) ).
thf(zf_stmt_19,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_19]) ).
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_18]) ).
thf(zip_derived_cl182,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_16]) ).
thf(zip_derived_cl197,plain,
! [X0: $i,X1: $i] :
( ~ ( r2 @ X0 @ X1 )
| ( X1
= ( sk__1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl182,zip_derived_cl7]) ).
thf(zip_derived_cl279,plain,
! [X0: $i] :
( ( r1 @ ( sk__19 @ X0 ) )
| ( ( sk__18 @ X0 )
= ( sk__1 @ ( sk__17 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl197]) ).
thf(zip_derived_cl189_001,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl178,zip_derived_cl2]) ).
thf(zip_derived_cl559,plain,
! [X0: $i] :
( ( ( sk__18 @ X0 )
= ( sk__1 @ ( sk__17 @ X0 ) ) )
| ( ( sk__19 @ X0 )
= sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl279,zip_derived_cl189]) ).
thf(zip_derived_cl42_002,plain,
! [X0: $i] :
( ( zip_tseitin_9 @ ( sk__18 @ X0 ) @ ( sk__17 @ X0 ) @ X0 )
| ( zip_tseitin_8 @ ( sk__19 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_8 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl179,plain,
! [X0: $i] :
( ( zip_tseitin_9 @ ( sk__18 @ X0 ) @ ( sk__17 @ X0 ) @ X0 )
| ( X0
= ( sk__19 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl38]) ).
thf(zip_derived_cl41_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r2 @ X0 @ X1 )
| ~ ( zip_tseitin_9 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl192,plain,
! [X0: $i] :
( ( X0
= ( sk__19 @ X0 ) )
| ( r2 @ ( sk__17 @ X0 ) @ ( sk__18 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl179,zip_derived_cl41]) ).
thf(zip_derived_cl197_004,plain,
! [X0: $i,X1: $i] :
( ~ ( r2 @ X0 @ X1 )
| ( X1
= ( sk__1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl182,zip_derived_cl7]) ).
thf(zip_derived_cl267,plain,
! [X0: $i] :
( ( X0
= ( sk__19 @ X0 ) )
| ( ( sk__18 @ X0 )
= ( sk__1 @ ( sk__17 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl192,zip_derived_cl197]) ).
thf(zip_derived_cl700,plain,
! [X0: $i] :
( ( X0 = sk_ )
| ( ( sk__18 @ X0 )
= ( sk__1 @ ( sk__17 @ X0 ) ) )
| ( ( sk__18 @ X0 )
= ( sk__1 @ ( sk__17 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl559,zip_derived_cl267]) ).
thf(zip_derived_cl707,plain,
! [X0: $i] :
( ( ( sk__18 @ X0 )
= ( sk__1 @ ( sk__17 @ X0 ) ) )
| ( X0 = sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl700]) ).
thf(zip_derived_cl180_005,plain,
! [X0: $i] :
( ( zip_tseitin_9 @ ( sk__18 @ X0 ) @ ( sk__17 @ X0 ) @ X0 )
| ( r1 @ ( sk__19 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl39]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_9 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl193,plain,
! [X0: $i] :
( ( r1 @ ( sk__19 @ X0 ) )
| ( X0
= ( sk__18 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl180,zip_derived_cl40]) ).
thf(zip_derived_cl189_006,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl178,zip_derived_cl2]) ).
thf(zip_derived_cl259,plain,
! [X0: $i] :
( ( X0
= ( sk__18 @ X0 ) )
| ( ( sk__19 @ X0 )
= sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl189]) ).
thf(zip_derived_cl179_007,plain,
! [X0: $i] :
( ( zip_tseitin_9 @ ( sk__18 @ X0 ) @ ( sk__17 @ X0 ) @ X0 )
| ( X0
= ( sk__19 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl38]) ).
thf(zip_derived_cl40_008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_9 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl191,plain,
! [X0: $i] :
( ( X0
= ( sk__19 @ X0 ) )
| ( X0
= ( sk__18 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl179,zip_derived_cl40]) ).
thf(zip_derived_cl381,plain,
! [X0: $i] :
( ( X0 = sk_ )
| ( X0
= ( sk__18 @ X0 ) )
| ( X0
= ( sk__18 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl259,zip_derived_cl191]) ).
thf(zip_derived_cl383,plain,
! [X0: $i] :
( ( X0
= ( sk__18 @ X0 ) )
| ( X0 = sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl381]) ).
thf(zip_derived_cl743,plain,
! [X0: $i] :
( ( X0
= ( sk__1 @ ( sk__17 @ X0 ) ) )
| ( X0 = sk_ )
| ( X0 = sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl707,zip_derived_cl383]) ).
thf(zip_derived_cl753,plain,
! [X0: $i] :
( ( X0 = sk_ )
| ( X0
= ( sk__1 @ ( sk__17 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl743]) ).
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_cl201_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r3 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl184,zip_derived_cl12]) ).
thf(zip_derived_cl208,plain,
! [X0: $i,X1: $i] :
( ( sk__5 @ X1 @ X0 )
= ( sk__2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl201]) ).
thf(zip_derived_cl254,plain,
! [X0: $i,X1: $i] : ( r2 @ ( sk__2 @ X0 @ X1 ) @ ( sk__4 @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl208]) ).
thf(zip_derived_cl9_010,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_19]) ).
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_18]) ).
thf(zip_derived_cl181,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_16]) ).
thf(zip_derived_cl196,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( sk__1 @ X0 ) )
| ( r2 @ X0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl181,zip_derived_cl8]) ).
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_cl246,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_cl401,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( sk__1 @ X1 ) )
| ( X2 = X1 )
| ~ ( r2 @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl246]) ).
thf(zip_derived_cl441,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__2 @ X1 @ X0 )
= X2 )
| ( ( sk__4 @ X1 @ X0 )
!= ( sk__1 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl401]) ).
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_cl201_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r3 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl184,zip_derived_cl12]) ).
thf(zip_derived_cl207,plain,
! [X0: $i,X1: $i] :
( ( sk__6 @ X1 @ X0 )
= ( sk__2 @ ( sk__7 @ X1 @ X0 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl22,zip_derived_cl201]) ).
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_cl273,plain,
! [X0: $i,X1: $i] :
( ( sk__4 @ X1 @ X0 )
= ( sk__2 @ ( sk__7 @ X1 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl20]) ).
thf(zip_derived_cl197_012,plain,
! [X0: $i,X1: $i] :
( ~ ( r2 @ X0 @ X1 )
| ( X1
= ( sk__1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl182,zip_derived_cl7]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] : ( r2 @ X0 @ ( sk__7 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
thf(zip_derived_cl240,plain,
! [X0: $i,X1: $i] :
( ( sk__7 @ X1 @ X0 )
= ( sk__1 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl197,zip_derived_cl21]) ).
thf(zip_derived_cl287,plain,
! [X0: $i,X1: $i] :
( ( sk__4 @ X1 @ X0 )
= ( sk__2 @ ( sk__1 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl240]) ).
thf(zip_derived_cl696,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__2 @ X1 @ X0 )
= X2 )
| ( ( sk__2 @ ( sk__1 @ X1 ) @ X0 )
!= ( sk__1 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl441,zip_derived_cl287]) ).
thf(zip_derived_cl963,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__2 @ ( sk__1 @ X2 ) @ X1 )
!= X0 )
| ( X0 = sk_ )
| ( ( sk__2 @ X2 @ X1 )
= ( sk__17 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl753,zip_derived_cl696]) ).
thf(zip_derived_cl1663,plain,
! [X0: $i,X1: $i] :
( ( ( sk__2 @ X1 @ X0 )
= ( sk__17 @ ( sk__2 @ ( sk__1 @ X1 ) @ X0 ) ) )
| ( ( sk__2 @ ( sk__1 @ X1 ) @ X0 )
= sk_ ) ),
inference(eq_res,[status(thm)],[zip_derived_cl963]) ).
thf(zip_derived_cl254_013,plain,
! [X0: $i,X1: $i] : ( r2 @ ( sk__2 @ X0 @ X1 ) @ ( sk__4 @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl208]) ).
thf(axiom_7a,axiom,
! [X7: $i,Y10: $i] :
( ~ ( r2 @ X7 @ Y10 )
| ! [Y20: $i] :
( ( Y20 != Y10 )
| ~ ( r1 @ Y20 ) ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2 @ X0 @ X1 )
| ~ ( r1 @ X2 )
| ( X2 != X1 ) ),
inference(cnf,[status(esa)],[axiom_7a]) ).
thf(zip_derived_cl227,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( r2 @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl289,plain,
! [X0: $i,X1: $i] :
~ ( r1 @ ( sk__4 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl254,zip_derived_cl227]) ).
thf(zip_derived_cl4_014,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk_ )
| ( zip_tseitin_0 @ X0 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X1 != X0 )
| ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl177,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk_ )
| ( X0 != sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( r1 @ X0 )
| ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl188,plain,
! [X0: $i] :
( ( X0 != sk_ )
| ( r1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl177,zip_derived_cl3]) ).
thf(zip_derived_cl353,plain,
! [X0: $i,X1: $i] :
( ( sk__4 @ X1 @ X0 )
!= sk_ ),
inference('sup+',[status(thm)],[zip_derived_cl289,zip_derived_cl188]) ).
thf(zip_derived_cl287_015,plain,
! [X0: $i,X1: $i] :
( ( sk__4 @ X1 @ X0 )
= ( sk__2 @ ( sk__1 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl240]) ).
thf(zip_derived_cl694,plain,
! [X0: $i,X1: $i] :
( ( sk__2 @ ( sk__1 @ X1 ) @ X0 )
!= sk_ ),
inference(demod,[status(thm)],[zip_derived_cl353,zip_derived_cl287]) ).
thf(zip_derived_cl1664,plain,
! [X0: $i,X1: $i] :
( ( sk__2 @ X1 @ X0 )
= ( sk__17 @ ( sk__2 @ ( sk__1 @ X1 ) @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1663,zip_derived_cl694]) ).
thf(zip_derived_cl753_016,plain,
! [X0: $i] :
( ( X0 = sk_ )
| ( X0
= ( sk__1 @ ( sk__17 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl743]) ).
thf(zip_derived_cl1969,plain,
! [X0: $i,X1: $i] :
( ( ( sk__2 @ ( sk__1 @ X1 ) @ X0 )
= ( sk__1 @ ( sk__2 @ X1 @ X0 ) ) )
| ( ( sk__2 @ ( sk__1 @ X1 ) @ X0 )
= sk_ ) ),
inference('sup+',[status(thm)],[zip_derived_cl1664,zip_derived_cl753]) ).
thf(zip_derived_cl694_017,plain,
! [X0: $i,X1: $i] :
( ( sk__2 @ ( sk__1 @ X1 ) @ X0 )
!= sk_ ),
inference(demod,[status(thm)],[zip_derived_cl353,zip_derived_cl287]) ).
thf(zip_derived_cl1989,plain,
! [X0: $i,X1: $i] :
( ( sk__2 @ ( sk__1 @ X1 ) @ X0 )
= ( sk__1 @ ( sk__2 @ X1 @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1969,zip_derived_cl694]) ).
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(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_20,type,
zip_tseitin_7: $i > $i > $i > $i > $o ).
thf(zf_stmt_21,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_22,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
thf(zf_stmt_23,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_24,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_24]) ).
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_23]) ).
thf(zip_derived_cl186,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_21]) ).
thf(zip_derived_cl205,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r4 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__3 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl186,zip_derived_cl17]) ).
thf(zip_derived_cl217,plain,
! [X0: $i] :
( ( sk__14 @ X0 )
= ( sk__3 @ ( sk__16 @ X0 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl34,zip_derived_cl205]) ).
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_cl232,plain,
! [X0: $i] : ( r1 @ ( sk__14 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl36]) ).
thf(zip_derived_cl189_018,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl178,zip_derived_cl2]) ).
thf(zip_derived_cl233,plain,
! [X0: $i] :
( ( sk__14 @ X0 )
= sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl189]) ).
thf(zip_derived_cl35,plain,
! [X0: $i] : ( r1 @ ( sk__16 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl189_019,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl178,zip_derived_cl2]) ).
thf(zip_derived_cl228,plain,
! [X0: $i] :
( ( sk__16 @ X0 )
= sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl189]) ).
thf(zip_derived_cl272,plain,
! [X0: $i] :
( sk_
= ( sk__3 @ sk_ @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl217,zip_derived_cl233,zip_derived_cl228]) ).
thf(zip_derived_cl21_020,plain,
! [X0: $i,X1: $i] : ( r2 @ X0 @ ( sk__7 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
thf(zip_derived_cl240_021,plain,
! [X0: $i,X1: $i] :
( ( sk__7 @ X1 @ X0 )
= ( sk__1 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl197,zip_derived_cl21]) ).
thf(zip_derived_cl284,plain,
! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl240]) ).
thf(zip_derived_cl284_022,plain,
! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl240]) ).
thf(zip_derived_cl196_023,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( sk__1 @ X0 ) )
| ( r2 @ X0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl181,zip_derived_cl8]) ).
thf(zip_derived_cl196_024,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( sk__1 @ X0 ) )
| ( r2 @ X0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl181,zip_derived_cl8]) ).
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_cl28,plain,
! [X0: $i,X1: $i] : ( r4 @ X0 @ X1 @ ( sk__9 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_2a]) ).
thf(onetimestwoeqtwo,conjecture,
? [Y1: $i] :
( ? [Y3: $i] :
( ? [Y6: $i] :
( ? [Y9: $i] :
( ( r2 @ Y9 @ Y6 )
& ( r1 @ Y9 ) )
& ( r2 @ Y6 @ Y3 ) )
& ( Y1 = Y3 ) )
& ? [Y2: $i] :
( ? [Y5: $i] :
( ? [Y8: $i] :
( ( r2 @ Y8 @ Y5 )
& ( r1 @ Y8 ) )
& ( r4 @ Y5 @ Y2 @ Y1 ) )
& ? [Y4: $i] :
( ? [Y7: $i] :
( ( r2 @ Y7 @ Y4 )
& ( r1 @ Y7 ) )
& ( r2 @ Y4 @ Y2 ) ) ) ) ).
thf(zf_stmt_25,negated_conjecture,
~ ? [Y1: $i] :
( ? [Y3: $i] :
( ? [Y6: $i] :
( ? [Y9: $i] :
( ( r2 @ Y9 @ Y6 )
& ( r1 @ Y9 ) )
& ( r2 @ Y6 @ Y3 ) )
& ( Y1 = Y3 ) )
& ? [Y2: $i] :
( ? [Y5: $i] :
( ? [Y8: $i] :
( ( r2 @ Y8 @ Y5 )
& ( r1 @ Y8 ) )
& ( r4 @ Y5 @ Y2 @ Y1 ) )
& ? [Y4: $i] :
( ? [Y7: $i] :
( ( r2 @ Y7 @ Y4 )
& ( r1 @ Y7 ) )
& ( r2 @ Y4 @ Y2 ) ) ) ),
inference('cnf.neg',[status(esa)],[onetimestwoeqtwo]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( X1 != X0 )
| ~ ( r1 @ X2 )
| ~ ( r2 @ X2 @ X3 )
| ~ ( r2 @ X3 @ X0 )
| ~ ( r1 @ X4 )
| ~ ( r2 @ X4 @ X5 )
| ~ ( r2 @ X5 @ X6 )
| ~ ( r1 @ X7 )
| ~ ( r2 @ X7 @ X8 )
| ~ ( r4 @ X8 @ X6 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf(zip_derived_cl214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r2 @ X7 @ X0 )
| ~ ( r1 @ X7 )
| ~ ( r2 @ X6 @ X1 )
| ~ ( r2 @ X5 @ X6 )
| ~ ( r1 @ X5 )
| ~ ( r2 @ X4 @ X2 )
| ~ ( r2 @ X3 @ X4 )
| ~ ( r1 @ X3 )
| ( ( sk__9 @ X1 @ X0 )
!= X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl44]) ).
thf(zip_derived_cl28_025,plain,
! [X0: $i,X1: $i] : ( r4 @ X0 @ X1 @ ( sk__9 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_2a]) ).
thf(zip_derived_cl205_026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r4 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__3 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl186,zip_derived_cl17]) ).
thf(zip_derived_cl215,plain,
! [X0: $i,X1: $i] :
( ( sk__9 @ X1 @ X0 )
= ( sk__3 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl205]) ).
thf(zip_derived_cl293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r2 @ X7 @ X0 )
| ~ ( r1 @ X7 )
| ~ ( r2 @ X6 @ X1 )
| ~ ( r2 @ X5 @ X6 )
| ~ ( r1 @ X5 )
| ~ ( r2 @ X4 @ X2 )
| ~ ( r2 @ X3 @ X4 )
| ~ ( r1 @ X3 )
| ( ( sk__3 @ X1 @ X0 )
!= X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl215]) ).
thf(zip_derived_cl302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ( sk__3 @ X2 @ X0 )
!= X3 )
| ~ ( r1 @ X1 )
| ~ ( r2 @ X1 @ X0 )
| ~ ( r2 @ X0 @ X3 )
| ~ ( r1 @ X4 )
| ~ ( r2 @ X4 @ X5 )
| ~ ( r2 @ X5 @ X2 )
| ~ ( r1 @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl293]) ).
thf(zip_derived_cl304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r2 @ X5 @ X2 )
| ~ ( r2 @ X4 @ X5 )
| ~ ( r1 @ X4 )
| ~ ( r2 @ X0 @ X3 )
| ~ ( r2 @ X1 @ X0 )
| ~ ( r1 @ X1 )
| ( ( sk__3 @ X2 @ X0 )
!= X3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl302]) ).
thf(zip_derived_cl481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0
!= ( sk__1 @ X1 ) )
| ( ( sk__3 @ X0 @ X2 )
!= X3 )
| ~ ( r1 @ X4 )
| ~ ( r2 @ X4 @ X2 )
| ~ ( r2 @ X2 @ X3 )
| ~ ( r1 @ X5 )
| ~ ( r2 @ X5 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl304]) ).
thf(zip_derived_cl599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0
!= ( sk__1 @ X1 ) )
| ~ ( r2 @ X3 @ X2 )
| ~ ( r1 @ X3 )
| ~ ( r2 @ X0 @ X4 )
| ~ ( r1 @ X1 )
| ( ( sk__3 @ X5 @ X0 )
!= X4 )
| ( X5
!= ( sk__1 @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl481]) ).
thf(zip_derived_cl2109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1
!= ( sk__1 @ ( sk__1 @ X0 ) ) )
| ( ( sk__3 @ X1 @ X2 )
!= X3 )
| ~ ( r1 @ X4 )
| ~ ( r2 @ X2 @ X3 )
| ~ ( r1 @ X0 )
| ( X2
!= ( sk__1 @ X4 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl599]) ).
thf(zip_derived_cl2159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0
!= ( sk__1 @ X1 ) )
| ~ ( r1 @ X2 )
| ~ ( r1 @ X1 )
| ( ( sk__3 @ X3 @ X0 )
!= ( sk__1 @ X0 ) )
| ( X3
!= ( sk__1 @ ( sk__1 @ X2 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl2109]) ).
thf(zip_derived_cl2166,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__3 @ ( sk__1 @ ( sk__1 @ X1 ) ) @ X0 )
!= ( sk__1 @ X0 ) )
| ~ ( r1 @ X2 )
| ~ ( r1 @ X1 )
| ( X0
!= ( sk__1 @ X2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2159]) ).
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_cl205_027,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r4 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__3 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl186,zip_derived_cl17]) ).
thf(zip_derived_cl213,plain,
! [X0: $i,X1: $i] :
( ( sk__10 @ X1 @ X0 )
= ( sk__3 @ ( sk__11 @ X1 @ X0 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl205]) ).
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_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_cl201_028,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r3 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl184,zip_derived_cl12]) ).
thf(zip_derived_cl209,plain,
! [X0: $i,X1: $i] :
( ( sk__8 @ X1 @ X0 )
= ( sk__2 @ X0 @ ( sk__9 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl29,zip_derived_cl201]) ).
thf(zip_derived_cl215_029,plain,
! [X0: $i,X1: $i] :
( ( sk__9 @ X1 @ X0 )
= ( sk__3 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl205]) ).
thf(zip_derived_cl274,plain,
! [X0: $i,X1: $i] :
( ( sk__8 @ X1 @ X0 )
= ( sk__2 @ X0 @ ( sk__3 @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl209,zip_derived_cl215]) ).
thf(zip_derived_cl275,plain,
! [X0: $i,X1: $i] :
( ( sk__10 @ X0 @ X1 )
= ( sk__2 @ X1 @ ( sk__3 @ X0 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl274]) ).
thf(zip_derived_cl276,plain,
! [X0: $i,X1: $i] :
( ( sk__2 @ X0 @ ( sk__3 @ X1 @ X0 ) )
= ( sk__3 @ ( sk__11 @ X1 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl275]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] : ( r2 @ X0 @ ( sk__11 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_2a]) ).
thf(zip_derived_cl197_030,plain,
! [X0: $i,X1: $i] :
( ~ ( r2 @ X0 @ X1 )
| ( X1
= ( sk__1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl182,zip_derived_cl7]) ).
thf(zip_derived_cl255,plain,
! [X0: $i,X1: $i] :
( ( sk__11 @ X1 @ X0 )
= ( sk__1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl197]) ).
thf(zip_derived_cl370,plain,
! [X0: $i,X1: $i] :
( ( sk__2 @ X0 @ ( sk__3 @ X1 @ X0 ) )
= ( sk__3 @ ( sk__1 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl276,zip_derived_cl255]) ).
thf(zip_derived_cl370_031,plain,
! [X0: $i,X1: $i] :
( ( sk__2 @ X0 @ ( sk__3 @ X1 @ X0 ) )
= ( sk__3 @ ( sk__1 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl276,zip_derived_cl255]) ).
thf(zip_derived_cl2167,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk__2 @ X0 @ ( sk__2 @ X0 @ ( sk__3 @ X1 @ X0 ) ) )
!= ( sk__1 @ X0 ) )
| ~ ( r1 @ X2 )
| ~ ( r1 @ X1 )
| ( X0
!= ( sk__1 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2166,zip_derived_cl370,zip_derived_cl370]) ).
thf(zip_derived_cl2172,plain,
! [X0: $i,X1: $i] :
( ( ( sk__2 @ X0 @ ( sk__2 @ X0 @ sk_ ) )
!= ( sk__1 @ X0 ) )
| ( X0
!= ( sk__1 @ X1 ) )
| ~ ( r1 @ sk_ )
| ~ ( r1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl2167]) ).
thf(zip_derived_cl32_032,plain,
! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl222_033,plain,
! [X0: $i] :
( ( sk__13 @ X0 )
= sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl189]) ).
thf(zip_derived_cl224,plain,
r1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl222]) ).
thf(zip_derived_cl2178,plain,
! [X0: $i,X1: $i] :
( ( ( sk__2 @ X0 @ ( sk__2 @ X0 @ sk_ ) )
!= ( sk__1 @ X0 ) )
| ( X0
!= ( sk__1 @ X1 ) )
| ~ ( r1 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2172,zip_derived_cl224]) ).
thf(zip_derived_cl2187,plain,
! [X0: $i,X1: $i] :
( ( ( sk__1 @ ( sk__2 @ X0 @ ( sk__2 @ ( sk__1 @ X0 ) @ sk_ ) ) )
!= ( sk__1 @ ( sk__1 @ X0 ) ) )
| ~ ( r1 @ X1 )
| ( ( sk__1 @ X0 )
!= ( sk__1 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1989,zip_derived_cl2178]) ).
thf(zip_derived_cl1989_034,plain,
! [X0: $i,X1: $i] :
( ( sk__2 @ ( sk__1 @ X1 ) @ X0 )
= ( sk__1 @ ( sk__2 @ X1 @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1969,zip_derived_cl694]) ).
thf(zip_derived_cl2191,plain,
! [X0: $i,X1: $i] :
( ( ( sk__1 @ ( sk__2 @ X0 @ ( sk__1 @ ( sk__2 @ X0 @ sk_ ) ) ) )
!= ( sk__1 @ ( sk__1 @ X0 ) ) )
| ~ ( r1 @ X1 )
| ( ( sk__1 @ X0 )
!= ( sk__1 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2187,zip_derived_cl1989]) ).
thf(zip_derived_cl2207,plain,
! [X0: $i] :
( ( ( sk__1 @ ( sk__1 @ ( sk__2 @ sk_ @ sk_ ) ) )
!= ( sk__1 @ ( sk__1 @ sk_ ) ) )
| ( ( sk__1 @ sk_ )
!= ( sk__1 @ X0 ) )
| ~ ( r1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl2191]) ).
thf(zip_derived_cl264_035,plain,
! [X0: $i] :
( X0
= ( sk__2 @ sk_ @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl33,zip_derived_cl222]) ).
thf(zip_derived_cl2211,plain,
! [X0: $i] :
( ( ( sk__1 @ ( sk__1 @ sk_ ) )
!= ( sk__1 @ ( sk__1 @ sk_ ) ) )
| ( ( sk__1 @ sk_ )
!= ( sk__1 @ X0 ) )
| ~ ( r1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2207,zip_derived_cl264]) ).
thf(zip_derived_cl2212,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( ( sk__1 @ sk_ )
!= ( sk__1 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2211]) ).
thf(zip_derived_cl189_036,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl178,zip_derived_cl2]) ).
thf(zip_derived_cl2217,plain,
! [X0: $i] :
~ ( r1 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl2212,zip_derived_cl189]) ).
thf(zip_derived_cl224_037,plain,
r1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl222]) ).
thf(zip_derived_cl2232,plain,
$false,
inference('sup+',[status(thm)],[zip_derived_cl2217,zip_derived_cl224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUN072+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fKlKdbNUeu true
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 10:11:24 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
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/1.21 % Solved by fo/fo3_bce.sh.
% 0.59/1.21 % BCE start: 45
% 0.59/1.21 % BCE eliminated: 0
% 0.59/1.21 % PE start: 45
% 0.59/1.21 logic: eq
% 0.59/1.21 % PE eliminated: 14
% 0.59/1.21 % done 670 iterations in 0.433s
% 0.59/1.21 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/1.21 % SZS output start Refutation
% See solution above
% 0.59/1.21
% 0.59/1.21
% 0.59/1.21 % Terminating...
% 0.59/1.28 % Runner terminated.
% 1.94/1.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------