TSTP Solution File: NUN059+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN059+1 : TPTP v8.1.2. Bugfixed v7.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CNgv16AEqs true
% Computer : n002.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 : Timeout 292.90s 42.82s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 60
% Syntax : Number of formulae : 137 ( 22 unt; 33 typ; 0 def)
% Number of atoms : 279 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1072 ( 149 ~; 128 |; 37 &; 748 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 100 ( 100 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 23 usr; 2 con; 0-6 aty)
% Number of variables : 311 ( 0 ^; 284 !; 27 ?; 311 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(zip_tseitin_15_type,type,
zip_tseitin_15: $i > $i > $i > $i > $i > $i > $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(r4_type,type,
r4: $i > $i > $i > $o ).
thf(r3_type,type,
r3: $i > $i > $i > $o ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $i > $i > $i > $i > $i > $i > $o ).
thf(zip_tseitin_14_type,type,
zip_tseitin_14: $i > $i > $i > $i > $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(zip_tseitin_13_type,type,
zip_tseitin_13: $i > $i > $i > $i > $i > $i > $o ).
thf(id_type,type,
id: $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__14_type,type,
sk__14: $i > $i ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $i > $i > $o ).
thf(sk__15_type,type,
sk__15: $i > $i ).
thf(r1_type,type,
r1: $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(r2_type,type,
r2: $i > $i > $o ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(axiom_1,axiom,
? [Y24: $i] :
! [X19: $i] :
( ( ( id @ X19 @ Y24 )
& ( r1 @ X19 ) )
| ( ~ ( r1 @ X19 )
& ~ ( id @ X19 @ Y24 ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [X19: $i,Y24: $i] :
( ( zip_tseitin_1 @ X19 @ Y24 )
=> ( ~ ( id @ X19 @ Y24 )
& ~ ( r1 @ X19 ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [X19: $i,Y24: $i] :
( ( zip_tseitin_0 @ X19 @ Y24 )
=> ( ( r1 @ X19 )
& ( id @ X19 @ Y24 ) ) ) ).
thf(zf_stmt_4,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_4]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( id @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl69,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk_ )
| ( id @ X0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ( id @ X0 @ sk_ )
| ~ ( r1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl69,zip_derived_cl3]) ).
thf(axiom_6,axiom,
! [X21: $i,X22: $i] :
( ( id @ X22 @ X21 )
| ~ ( id @ X21 @ X22 ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ( id @ X0 @ X1 )
| ~ ( id @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_6]) ).
thf(zip_derived_cl143,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( id @ sk_ @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl21]) ).
thf(zip_derived_cl143_001,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( id @ sk_ @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl21]) ).
thf(zip_derived_cl89_002,plain,
! [X0: $i] :
( ( id @ X0 @ sk_ )
| ~ ( r1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl69,zip_derived_cl3]) ).
thf(axiom_7,axiom,
! [X23: $i,X24: $i,X25: $i] :
( ~ ( id @ X24 @ X25 )
| ( id @ X23 @ X25 )
| ~ ( id @ X23 @ X24 ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( id @ X0 @ X1 )
| ( id @ X0 @ X2 )
| ~ ( id @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[axiom_7]) ).
thf(zip_derived_cl141,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( id @ sk_ @ X1 )
| ( id @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl22]) ).
thf(zip_derived_cl514,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ( id @ X1 @ X0 )
| ~ ( r1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl141]) ).
thf(axiom_5,axiom,
! [X20: $i] : ( id @ X20 @ X20 ) ).
thf(zip_derived_cl20,plain,
! [X0: $i] : ( id @ X0 @ X0 ),
inference(cnf,[status(esa)],[axiom_5]) ).
thf(axiom_5a,axiom,
! [X5: $i] :
? [Y8: $i] :
( ? [Y18: $i] :
( ( r1 @ Y18 )
& ( id @ Y8 @ Y18 ) )
& ? [Y17: $i] :
( ( r4 @ X5 @ Y17 @ Y8 )
& ( r1 @ Y17 ) ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i] : ( r4 @ X0 @ ( sk__16 @ X0 ) @ ( sk__14 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(axiom_11,axiom,
! [X38: $i,X39: $i,X40: $i,X41: $i,X42: $i,X43: $i] :
( ~ ( id @ X38 @ X41 )
| ~ ( id @ X39 @ X42 )
| ~ ( id @ X40 @ X43 )
| ( ~ ( r4 @ X38 @ X39 @ X40 )
& ~ ( r4 @ X41 @ X42 @ X43 ) )
| ( ( r4 @ X38 @ X39 @ X40 )
& ( r4 @ X41 @ X42 @ X43 ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_15: $i > $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_6,axiom,
! [X43: $i,X42: $i,X41: $i,X40: $i,X39: $i,X38: $i] :
( ( zip_tseitin_15 @ X43 @ X42 @ X41 @ X40 @ X39 @ X38 )
=> ( ( r4 @ X41 @ X42 @ X43 )
& ( r4 @ X38 @ X39 @ X40 ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_14: $i > $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_8,axiom,
! [X43: $i,X42: $i,X41: $i,X40: $i,X39: $i,X38: $i] :
( ( zip_tseitin_14 @ X43 @ X42 @ X41 @ X40 @ X39 @ X38 )
=> ( ~ ( r4 @ X41 @ X42 @ X43 )
& ~ ( r4 @ X38 @ X39 @ X40 ) ) ) ).
thf(zf_stmt_9,axiom,
! [X38: $i,X39: $i,X40: $i,X41: $i,X42: $i,X43: $i] :
( ( zip_tseitin_15 @ X43 @ X42 @ X41 @ X40 @ X39 @ X38 )
| ( zip_tseitin_14 @ X43 @ X42 @ X41 @ X40 @ X39 @ X38 )
| ~ ( id @ X40 @ X43 )
| ~ ( id @ X39 @ X42 )
| ~ ( id @ X38 @ X41 ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( id @ X0 @ X1 )
| ~ ( id @ X2 @ X3 )
| ~ ( id @ X4 @ X5 )
| ( zip_tseitin_14 @ X5 @ X1 @ X3 @ X4 @ X0 @ X2 )
| ( zip_tseitin_15 @ X5 @ X1 @ X3 @ X4 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r4 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_14 @ X2 @ X1 @ X0 @ X3 @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( zip_tseitin_15 @ X0 @ X1 @ X2 @ X5 @ X4 @ X3 )
| ~ ( id @ X5 @ X0 )
| ~ ( id @ X3 @ X2 )
| ~ ( id @ X4 @ X1 )
| ~ ( r4 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl38]) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( r4 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_15 @ X3 @ X4 @ X5 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r4 @ X5 @ X4 @ X3 )
| ~ ( id @ X1 @ X4 )
| ~ ( id @ X2 @ X5 )
| ~ ( id @ X0 @ X3 )
| ( r4 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl84,zip_derived_cl41]) ).
thf(zip_derived_cl415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r4 @ X3 @ X2 @ X1 )
| ~ ( id @ X1 @ ( sk__14 @ X0 ) )
| ~ ( id @ X3 @ X0 )
| ~ ( id @ X2 @ ( sk__16 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl119]) ).
thf(zip_derived_cl4850,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( id @ X1 @ ( sk__16 @ X0 ) )
| ~ ( id @ X2 @ X0 )
| ( r4 @ X2 @ X1 @ ( sk__14 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl415]) ).
thf(axiom_4a,axiom,
! [X4: $i] :
? [Y9: $i] :
( ? [Y16: $i] :
( ( r3 @ X4 @ Y16 @ Y9 )
& ( r1 @ Y16 ) )
& ( id @ Y9 @ X4 ) ) ).
thf(zip_derived_cl55,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] :
( ( ( id @ X15 @ Y22 )
& ( r3 @ X13 @ X14 @ X15 ) )
| ( ~ ( r3 @ X13 @ X14 @ X15 )
& ~ ( id @ 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 )
=> ( ~ ( id @ 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 )
=> ( ( r3 @ X13 @ X14 @ X15 )
& ( id @ X15 @ Y22 ) ) ) ).
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] :
( ( id @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl75,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X2 @ ( sk__2 @ X1 @ X0 ) @ X1 @ X0 )
| ( id @ X2 @ ( sk__2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl11]) ).
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_cl101,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( id @ X0 @ ( sk__2 @ X1 @ X2 ) )
| ~ ( r3 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl13]) ).
thf(zip_derived_cl249,plain,
! [X0: $i] : ( id @ ( sk__12 @ X0 ) @ ( sk__2 @ ( sk__13 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl101]) ).
thf(zip_derived_cl54,plain,
! [X0: $i] : ( id @ ( sk__12 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl21_003,plain,
! [X0: $i,X1: $i] :
( ( id @ X0 @ X1 )
| ~ ( id @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_6]) ).
thf(zip_derived_cl129,plain,
! [X0: $i] : ( id @ X0 @ ( sk__12 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl21]) ).
thf(zip_derived_cl22_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( id @ X0 @ X1 )
| ( id @ X0 @ X2 )
| ~ ( id @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[axiom_7]) ).
thf(zip_derived_cl137,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ ( sk__12 @ X0 ) @ X1 )
| ( id @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl129,zip_derived_cl22]) ).
thf(zip_derived_cl1978,plain,
! [X0: $i] : ( id @ X0 @ ( sk__2 @ ( sk__13 @ X0 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl249,zip_derived_cl137]) ).
thf(zip_derived_cl21_005,plain,
! [X0: $i,X1: $i] :
( ( id @ X0 @ X1 )
| ~ ( id @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_6]) ).
thf(zip_derived_cl15842,plain,
! [X0: $i] : ( id @ ( sk__2 @ ( sk__13 @ X0 ) @ X0 ) @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl1978,zip_derived_cl21]) ).
thf(axiom_1a,axiom,
! [X1: $i,X8: $i] :
? [Y4: $i] :
( ? [Y7: $i] :
( ( r3 @ X1 @ X8 @ Y7 )
& ( r2 @ Y7 @ Y4 ) )
& ? [Y5: $i] :
( ? [Y15: $i] :
( ( r3 @ X1 @ Y15 @ Y5 )
& ( r2 @ X8 @ Y15 ) )
& ( id @ Y5 @ Y4 ) ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i] : ( r3 @ X0 @ X1 @ ( sk__5 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
thf(zip_derived_cl101_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( id @ X0 @ ( sk__2 @ X1 @ X2 ) )
| ~ ( r3 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl75,zip_derived_cl13]) ).
thf(zip_derived_cl199,plain,
! [X0: $i,X1: $i] : ( id @ ( sk__5 @ X1 @ X0 ) @ ( sk__2 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl101]) ).
thf(zip_derived_cl22_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( id @ X0 @ X1 )
| ( id @ X0 @ X2 )
| ~ ( id @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[axiom_7]) ).
thf(zip_derived_cl872,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( id @ ( sk__2 @ X1 @ X0 ) @ X2 )
| ( id @ ( sk__5 @ X1 @ X0 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl199,zip_derived_cl22]) ).
thf(zip_derived_cl20_008,plain,
! [X0: $i] : ( id @ X0 @ X0 ),
inference(cnf,[status(esa)],[axiom_5]) ).
thf(zip_derived_cl46_009,plain,
! [X0: $i,X1: $i] : ( r3 @ X0 @ X1 @ ( sk__5 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
thf(axiom_10,axiom,
! [X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i] :
( ~ ( id @ X32 @ X35 )
| ~ ( id @ X33 @ X36 )
| ~ ( id @ X34 @ X37 )
| ( ~ ( r3 @ X32 @ X33 @ X34 )
& ~ ( r3 @ X35 @ X36 @ X37 ) )
| ( ( r3 @ X32 @ X33 @ X34 )
& ( r3 @ X35 @ X36 @ X37 ) ) ) ).
thf(zf_stmt_15,type,
zip_tseitin_13: $i > $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_16,axiom,
! [X37: $i,X36: $i,X35: $i,X34: $i,X33: $i,X32: $i] :
( ( zip_tseitin_13 @ X37 @ X36 @ X35 @ X34 @ X33 @ X32 )
=> ( ( r3 @ X35 @ X36 @ X37 )
& ( r3 @ X32 @ X33 @ X34 ) ) ) ).
thf(zf_stmt_17,type,
zip_tseitin_12: $i > $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_18,axiom,
! [X37: $i,X36: $i,X35: $i,X34: $i,X33: $i,X32: $i] :
( ( zip_tseitin_12 @ X37 @ X36 @ X35 @ X34 @ X33 @ X32 )
=> ( ~ ( r3 @ X35 @ X36 @ X37 )
& ~ ( r3 @ X32 @ X33 @ X34 ) ) ) ).
thf(zf_stmt_19,axiom,
! [X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i] :
( ( zip_tseitin_13 @ X37 @ X36 @ X35 @ X34 @ X33 @ X32 )
| ( zip_tseitin_12 @ X37 @ X36 @ X35 @ X34 @ X33 @ X32 )
| ~ ( id @ X34 @ X37 )
| ~ ( id @ X33 @ X36 )
| ~ ( id @ X32 @ X35 ) ) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( id @ X0 @ X1 )
| ~ ( id @ X2 @ X3 )
| ~ ( id @ X4 @ X5 )
| ( zip_tseitin_12 @ X5 @ X1 @ X3 @ X4 @ X0 @ X2 )
| ( zip_tseitin_13 @ X5 @ X1 @ X3 @ X4 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r3 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_12 @ X2 @ X1 @ X0 @ X3 @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( zip_tseitin_13 @ X0 @ X1 @ X2 @ X5 @ X4 @ X3 )
| ~ ( id @ X5 @ X0 )
| ~ ( id @ X3 @ X2 )
| ~ ( id @ X4 @ X1 )
| ~ ( r3 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl37,zip_derived_cl33]) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( r3 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_13 @ X3 @ X4 @ X5 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r3 @ X5 @ X4 @ X3 )
| ~ ( id @ X1 @ X4 )
| ~ ( id @ X2 @ X5 )
| ~ ( id @ X0 @ X3 )
| ( r3 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl82,zip_derived_cl36]) ).
thf(zip_derived_cl356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( r3 @ X4 @ X3 @ X2 )
| ~ ( id @ X2 @ ( sk__5 @ X1 @ X0 ) )
| ~ ( id @ X4 @ X0 )
| ~ ( id @ X3 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl115]) ).
thf(zip_derived_cl3975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( id @ X2 @ X1 )
| ~ ( id @ X3 @ X0 )
| ( r3 @ X3 @ X2 @ ( sk__5 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl356]) ).
thf(fermattothepoweroftwoid,conjecture,
? [Y1: $i,Y3: $i,Y2: $i,Y4: $i] :
( ? [Y6: $i] :
( ? [Y7: $i] :
( ( r3 @ Y7 @ Y6 @ Y4 )
& ( r4 @ Y1 @ Y1 @ Y7 ) )
& ( r4 @ Y3 @ Y3 @ Y6 ) )
& ? [Y5: $i] :
( ( r4 @ Y2 @ Y2 @ Y5 )
& ( id @ Y4 @ Y5 ) ) ) ).
thf(zf_stmt_20,negated_conjecture,
~ ? [Y1: $i,Y3: $i,Y2: $i,Y4: $i] :
( ? [Y6: $i] :
( ? [Y7: $i] :
( ( r3 @ Y7 @ Y6 @ Y4 )
& ( r4 @ Y1 @ Y1 @ Y7 ) )
& ( r4 @ Y3 @ Y3 @ Y6 ) )
& ? [Y5: $i] :
( ( r4 @ Y2 @ Y2 @ Y5 )
& ( id @ Y4 @ Y5 ) ) ),
inference('cnf.neg',[status(esa)],[fermattothepoweroftwoid]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( r4 @ X0 @ X0 @ X1 )
| ~ ( r3 @ X2 @ X1 @ X3 )
| ~ ( r4 @ X4 @ X4 @ X2 )
| ~ ( id @ X3 @ X5 )
| ~ ( r4 @ X6 @ X6 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf(zip_derived_cl263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( r4 @ X3 @ X3 @ X2 )
| ~ ( id @ X4 @ X2 )
| ~ ( r4 @ X1 @ X1 @ X0 )
| ~ ( r3 @ X0 @ X0 @ X4 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl289,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r3 @ X0 @ X0 @ X2 )
| ~ ( r4 @ X1 @ X1 @ X0 )
| ~ ( id @ X2 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl263]) ).
thf(zip_derived_cl107089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( id @ X2 @ X0 )
| ~ ( id @ X2 @ X1 )
| ~ ( id @ ( sk__5 @ X1 @ X0 ) @ X2 )
| ~ ( r4 @ X3 @ X3 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3975,zip_derived_cl289]) ).
thf(zip_derived_cl107184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( id @ ( sk__2 @ X2 @ X1 ) @ X0 )
| ~ ( r4 @ X3 @ X3 @ X0 )
| ~ ( id @ X0 @ X2 )
| ~ ( id @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl872,zip_derived_cl107089]) ).
thf(zip_derived_cl107258,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ X0 @ X0 )
| ~ ( id @ X0 @ ( sk__13 @ X0 ) )
| ~ ( r4 @ X1 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15842,zip_derived_cl107184]) ).
thf(zip_derived_cl20_010,plain,
! [X0: $i] : ( id @ X0 @ X0 ),
inference(cnf,[status(esa)],[axiom_5]) ).
thf(zip_derived_cl107267,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ X0 @ ( sk__13 @ X0 ) )
| ~ ( r4 @ X1 @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl107258,zip_derived_cl20]) ).
thf(zip_derived_cl153818,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ X1 @ X0 )
| ~ ( id @ X1 @ ( sk__16 @ X0 ) )
| ~ ( id @ ( sk__14 @ X0 ) @ ( sk__13 @ ( sk__14 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4850,zip_derived_cl107267]) ).
thf(zip_derived_cl154120,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ ( sk__14 @ X0 ) )
| ~ ( r1 @ ( sk__13 @ ( sk__14 @ X0 ) ) )
| ~ ( id @ X1 @ ( sk__16 @ X0 ) )
| ~ ( id @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl514,zip_derived_cl153818]) ).
thf(axiom_8,axiom,
! [X26: $i,X27: $i] :
( ~ ( id @ X26 @ X27 )
| ( ~ ( r1 @ X26 )
& ~ ( r1 @ X27 ) )
| ( ( r1 @ X26 )
& ( r1 @ X27 ) ) ) ).
thf(zf_stmt_21,type,
zip_tseitin_9: $i > $i > $o ).
thf(zf_stmt_22,axiom,
! [X27: $i,X26: $i] :
( ( zip_tseitin_9 @ X27 @ X26 )
=> ( ( r1 @ X27 )
& ( r1 @ X26 ) ) ) ).
thf(zf_stmt_23,type,
zip_tseitin_8: $i > $i > $o ).
thf(zf_stmt_24,axiom,
! [X27: $i,X26: $i] :
( ( zip_tseitin_8 @ X27 @ X26 )
=> ( ~ ( r1 @ X27 )
& ~ ( r1 @ X26 ) ) ) ).
thf(zf_stmt_25,axiom,
! [X26: $i,X27: $i] :
( ( zip_tseitin_9 @ X27 @ X26 )
| ( zip_tseitin_8 @ X27 @ X26 )
| ~ ( id @ X26 @ X27 ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_9 @ X0 @ X1 )
| ( zip_tseitin_8 @ X0 @ X1 )
| ~ ( id @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_25]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( zip_tseitin_8 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_24]) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ X1 @ X0 )
| ( zip_tseitin_9 @ X0 @ X1 )
| ~ ( r1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl23]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ( r1 @ X0 )
| ~ ( zip_tseitin_9 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_22]) ).
thf(zip_derived_cl107,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 )
| ~ ( id @ X0 @ X1 )
| ( r1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl78,zip_derived_cl26]) ).
thf(zip_derived_cl60,plain,
! [X0: $i] : ( id @ ( sk__14 @ X0 ) @ ( sk__15 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl169,plain,
! [X0: $i] :
( ( r1 @ ( sk__14 @ X0 ) )
| ~ ( r1 @ ( sk__15 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl107,zip_derived_cl60]) ).
thf(zip_derived_cl59,plain,
! [X0: $i] : ( r1 @ ( sk__15 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl171,plain,
! [X0: $i] : ( r1 @ ( sk__14 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl59]) ).
thf(zip_derived_cl56,plain,
! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl154128,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ X1 @ ( sk__16 @ X0 ) )
| ~ ( id @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl154120,zip_derived_cl171,zip_derived_cl56]) ).
thf(zip_derived_cl154194,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__16 @ X0 ) )
| ~ ( id @ sk_ @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl154128]) ).
thf(zip_derived_cl58,plain,
! [X0: $i] : ( r1 @ ( sk__16 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl154249,plain,
! [X0: $i] :
~ ( id @ sk_ @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl154194,zip_derived_cl58]) ).
thf(zip_derived_cl20_011,plain,
! [X0: $i] : ( id @ X0 @ X0 ),
inference(cnf,[status(esa)],[axiom_5]) ).
thf(zip_derived_cl154286,plain,
$false,
inference('sup+',[status(thm)],[zip_derived_cl154249,zip_derived_cl20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUN059+1 : TPTP v8.1.2. Bugfixed v7.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CNgv16AEqs true
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 09:52:04 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.69 % Total configuration time : 435
% 0.22/0.69 % Estimated wc time : 1092
% 0.22/0.69 % Estimated cpu time (7 cpus) : 156.0
% 1.23/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.37/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.37/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.37/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.37/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.44/0.86 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.44/0.88 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 292.90/42.82 % Solved by fo/fo3_bce.sh.
% 292.90/42.82 % BCE start: 68
% 292.90/42.82 % BCE eliminated: 0
% 292.90/42.82 % PE start: 68
% 292.90/42.82 logic: neq
% 292.90/42.82 % PE eliminated: 25
% 292.90/42.82 % done 24814 iterations in 41.972s
% 292.90/42.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 292.90/42.82 % SZS output start Refutation
% See solution above
% 292.90/42.82
% 292.90/42.82
% 292.90/42.82 % Terminating...
% 293.65/42.89 % Runner terminated.
% 293.65/42.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------