TSTP Solution File: NUN055+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN055+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.HZGwWgqJlS true
% Computer : n004.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 12:54:15 EDT 2023
% Result : Theorem 1.31s 0.85s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 39
% Syntax : Number of formulae : 102 ( 29 unt; 24 typ; 0 def)
% Number of atoms : 189 ( 40 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 618 ( 85 ~; 71 |; 34 &; 422 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 55 ( 55 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 2 con; 0-4 aty)
% Number of variables : 194 ( 0 ^; 166 !; 28 ?; 194 :)
% Comments :
%------------------------------------------------------------------------------
thf(r3_type,type,
r3: $i > $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(r2_type,type,
r2: $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i > $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(r1_type,type,
r1: $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $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_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_cl65,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X1 @ ( sk__1 @ X0 ) @ X0 )
| ( r2 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl8]) ).
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_cl107,plain,
! [X0: $i,X1: $i] :
( ( r2 @ X0 @ X1 )
| ( X1
!= ( sk__1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl5]) ).
thf(zip_derived_cl109,plain,
! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl109_001,plain,
! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl107]) ).
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_cl2,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl47,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ X0 @ sk_ )
| ( X0 = sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).
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_cl52,plain,
! [X0: $i] :
( ( X0 = sk_ )
| ~ ( r1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl1]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl53,plain,
! [X0: $i] :
( ( sk__13 @ X0 )
= sk_ ),
inference('s_sup+',[status(thm)],[zip_derived_cl52,zip_derived_cl32]) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ( sk__12 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl84,plain,
! [X0: $i] : ( r3 @ X0 @ sk_ @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl53,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_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_cl75,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_4 @ X2 @ ( sk__2 @ X1 @ X0 ) @ X1 @ X0 )
| ( X2
= ( sk__2 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl12]) ).
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_cl144,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( sk__2 @ X1 @ X0 ) )
| ~ ( r3 @ X0 @ X1 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl11]) ).
thf(zip_derived_cl146,plain,
! [X0: $i] :
( X0
= ( sk__2 @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl144]) ).
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_cl144_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( sk__2 @ X1 @ X0 ) )
| ~ ( r3 @ X0 @ X1 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl11]) ).
thf(zip_derived_cl145,plain,
! [X0: $i,X1: $i] :
( ( sk__5 @ X1 @ X0 )
= ( sk__2 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl144]) ).
thf(zip_derived_cl153,plain,
! [X0: $i,X1: $i] : ( r2 @ ( sk__2 @ X0 @ X1 ) @ ( sk__4 @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl145]) ).
thf(zip_derived_cl365,plain,
! [X0: $i] : ( r2 @ X0 @ ( sk__4 @ sk_ @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl146,zip_derived_cl153]) ).
thf(zip_derived_cl9_003,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_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_cl64,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X1 @ ( sk__1 @ X0 ) @ X0 )
| ( X1
= ( sk__1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl7]) ).
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_cl118,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( sk__1 @ X0 ) )
| ~ ( r2 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl6]) ).
thf(zip_derived_cl374,plain,
! [X0: $i] :
( ( sk__4 @ sk_ @ X0 )
= ( sk__1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl365,zip_derived_cl118]) ).
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_cl100,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_cl118_004,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( sk__1 @ X0 ) )
| ~ ( r2 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl6]) ).
thf(zip_derived_cl126,plain,
! [X0: $i,X1: $i] :
( ( sk__7 @ X1 @ X0 )
= ( sk__1 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl118]) ).
thf(zip_derived_cl133,plain,
! [X0: $i,X1: $i] : ( r3 @ X0 @ ( sk__1 @ X1 ) @ ( sk__4 @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl126]) ).
thf(zip_derived_cl144_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
= ( sk__2 @ X1 @ X0 ) )
| ~ ( r3 @ X0 @ X1 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl11]) ).
thf(zip_derived_cl279,plain,
! [X0: $i,X1: $i] :
( ( sk__4 @ X1 @ X0 )
= ( sk__2 @ ( sk__1 @ X1 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl144]) ).
thf(zip_derived_cl153_006,plain,
! [X0: $i,X1: $i] : ( r2 @ ( sk__2 @ X0 @ X1 ) @ ( sk__4 @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl145]) ).
thf(zip_derived_cl133_007,plain,
! [X0: $i,X1: $i] : ( r3 @ X0 @ ( sk__1 @ X1 ) @ ( sk__4 @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl126]) ).
thf(zeroplustwoeqtwo,conjecture,
? [Y1: $i] :
( ? [Y3: $i] :
( ? [Y5: $i] :
( ? [Y8: $i] :
( ( r2 @ Y8 @ Y5 )
& ( r1 @ Y8 ) )
& ( r2 @ Y5 @ Y3 ) )
& ( Y1 = Y3 ) )
& ? [Y2: $i] :
( ? [Y7: $i] :
( ( r3 @ Y7 @ Y2 @ Y1 )
& ( r1 @ Y7 ) )
& ? [Y4: $i] :
( ? [Y6: $i] :
( ( r2 @ Y6 @ Y4 )
& ( r1 @ Y6 ) )
& ( r2 @ Y4 @ Y2 ) ) ) ) ).
thf(zf_stmt_15,negated_conjecture,
~ ? [Y1: $i] :
( ? [Y3: $i] :
( ? [Y5: $i] :
( ? [Y8: $i] :
( ( r2 @ Y8 @ Y5 )
& ( r1 @ Y8 ) )
& ( r2 @ Y5 @ Y3 ) )
& ( Y1 = Y3 ) )
& ? [Y2: $i] :
( ? [Y7: $i] :
( ( r3 @ Y7 @ Y2 @ Y1 )
& ( r1 @ Y7 ) )
& ? [Y4: $i] :
( ? [Y6: $i] :
( ( r2 @ Y6 @ Y4 )
& ( r1 @ Y6 ) )
& ( r2 @ Y4 @ Y2 ) ) ) ),
inference('cnf.neg',[status(esa)],[zeroplustwoeqtwo]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X1 != X0 )
| ~ ( r1 @ X2 )
| ~ ( r2 @ X2 @ X3 )
| ~ ( r2 @ X3 @ X0 )
| ~ ( r1 @ X4 )
| ~ ( r2 @ X4 @ X5 )
| ~ ( r2 @ X5 @ X6 )
| ~ ( r3 @ X7 @ X6 @ X1 )
| ~ ( r1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( r1 @ X0 )
| ~ ( r3 @ X0 @ X2 @ X1 )
| ~ ( r2 @ X3 @ X2 )
| ~ ( r2 @ X4 @ X3 )
| ~ ( r1 @ X4 )
| ~ ( r2 @ X5 @ X1 )
| ~ ( r2 @ X6 @ X5 )
| ~ ( r1 @ X6 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ X0 )
| ~ ( r2 @ X2 @ ( sk__1 @ X1 ) )
| ~ ( r2 @ X3 @ X2 )
| ~ ( r1 @ X3 )
| ~ ( r2 @ X4 @ ( sk__4 @ X1 @ X0 ) )
| ~ ( r2 @ X5 @ X4 )
| ~ ( r1 @ X5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl66]) ).
thf(zip_derived_cl363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X0 )
| ~ ( r2 @ X2 @ ( sk__1 @ X1 ) )
| ~ ( r2 @ X3 @ X2 )
| ~ ( r1 @ X3 )
| ~ ( r2 @ X4 @ ( sk__2 @ X1 @ X0 ) )
| ~ ( r1 @ X4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl280]) ).
thf(zip_derived_cl372,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X2 )
| ~ ( r1 @ X2 )
| ~ ( r2 @ X2 @ ( sk__2 @ X1 @ X0 ) )
| ~ ( r2 @ ( sk__2 @ X1 @ X0 ) @ ( sk__1 @ X1 ) )
| ~ ( r1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl363]) ).
thf(zip_derived_cl373,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X0 )
| ~ ( r2 @ ( sk__2 @ X1 @ X0 ) @ ( sk__1 @ X1 ) )
| ~ ( r2 @ X2 @ ( sk__2 @ X1 @ X0 ) )
| ~ ( r1 @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl372]) ).
thf(zip_derived_cl386,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X0 )
| ~ ( r2 @ ( sk__4 @ X1 @ X0 ) @ ( sk__1 @ ( sk__1 @ X1 ) ) )
| ~ ( r2 @ X2 @ ( sk__4 @ X1 @ X0 ) )
| ~ ( r1 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl279,zip_derived_cl373]) ).
thf(zip_derived_cl405,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( r2 @ ( sk__1 @ X0 ) @ ( sk__1 @ ( sk__1 @ sk_ ) ) )
| ~ ( r2 @ X1 @ ( sk__1 @ X0 ) )
| ~ ( r1 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl386]) ).
thf(zip_derived_cl408,plain,
! [X0: $i] :
( ~ ( r1 @ sk_ )
| ~ ( r2 @ X0 @ ( sk__1 @ sk_ ) )
| ~ ( r1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl405]) ).
thf(zip_derived_cl32_008,plain,
! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl53_009,plain,
! [X0: $i] :
( ( sk__13 @ X0 )
= sk_ ),
inference('s_sup+',[status(thm)],[zip_derived_cl52,zip_derived_cl32]) ).
thf(zip_derived_cl59,plain,
r1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl53]) ).
thf(zip_derived_cl412,plain,
! [X0: $i] :
( ~ ( r2 @ X0 @ ( sk__1 @ sk_ ) )
| ~ ( r1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl408,zip_derived_cl59]) ).
thf(zip_derived_cl414,plain,
~ ( r1 @ sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl412]) ).
thf(zip_derived_cl59_010,plain,
r1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl53]) ).
thf(zip_derived_cl415,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl414,zip_derived_cl59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUN055+2 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HZGwWgqJlS true
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 09:09:22 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.15/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.15/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.85 % Solved by fo/fo1_av.sh.
% 1.31/0.85 % done 210 iterations in 0.086s
% 1.31/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.31/0.85 % SZS output start Refutation
% See solution above
% 1.31/0.85
% 1.31/0.85
% 1.31/0.85 % Terminating...
% 1.83/0.93 % Runner terminated.
% 1.83/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------