TSTP Solution File: NUN055+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN055+1 : TPTP v8.1.2. Bugfixed 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.SLywj4u4nk true
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 12:54:14 EDT 2023
% Result : Theorem 31.04s 5.04s
% Output : Refutation 31.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 54
% Syntax : Number of formulae : 155 ( 31 unt; 31 typ; 0 def)
% Number of atoms : 324 ( 0 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 1137 ( 169 ~; 151 |; 41 &; 768 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 73 ( 73 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 23 usr; 2 con; 0-4 aty)
% Number of variables : 318 ( 0 ^; 289 !; 29 ?; 318 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__14_type,type,
sk__14: $i > $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i > $i > $i ).
thf(r4_type,type,
r4: $i > $i > $i > $o ).
thf(r3_type,type,
r3: $i > $i > $i > $o ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $i > $i > $i > $i > $o ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $i > $i > $i > $i > $o ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $i > $i > $o ).
thf(id_type,type,
id: $i > $i > $o ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $i > $i > $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(sk__15_type,type,
sk__15: $i > $i ).
thf(r1_type,type,
r1: $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i > $i > $i ).
thf(r2_type,type,
r2: $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $i > $i > $o ).
thf(axiom_4a,axiom,
! [X4: $i] :
? [Y9: $i] :
( ? [Y16: $i] :
( ( r3 @ X4 @ Y16 @ Y9 )
& ( r1 @ Y16 ) )
& ( id @ Y9 @ X4 ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i] : ( id @ ( sk__12 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[axiom_4a]) ).
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_cl142,plain,
! [X0: $i] : ( id @ X0 @ ( sk__12 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl21]) ).
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_cl229,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ ( sk__12 @ X0 ) @ X1 )
| ( id @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl22]) ).
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_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 )
=> ( ~ ( id @ 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 )
=> ( ( r3 @ X13 @ X14 @ X15 )
& ( id @ X15 @ Y22 ) ) ) ).
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] :
( ( id @ X0 @ X1 )
| ~ ( zip_tseitin_4 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
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_1]) ).
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_cl225,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_cl1666,plain,
! [X0: $i] : ( id @ X0 @ ( sk__2 @ ( sk__13 @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl229,zip_derived_cl225]) ).
thf(axiom_1,axiom,
? [Y24: $i] :
! [X19: $i] :
( ( ( id @ X19 @ Y24 )
& ( r1 @ X19 ) )
| ( ~ ( r1 @ X19 )
& ~ ( id @ 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 )
=> ( ~ ( id @ 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 )
=> ( ( r1 @ X19 )
& ( id @ X19 @ Y24 ) ) ) ).
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] :
( ( id @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
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_6]) ).
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_5a,axiom,
! [X5: $i] :
? [Y8: $i] :
( ? [Y18: $i] :
( ( r1 @ Y18 )
& ( id @ Y8 @ Y18 ) )
& ? [Y17: $i] :
( ( r4 @ X5 @ Y17 @ Y8 )
& ( r1 @ Y17 ) ) ) ).
thf(zip_derived_cl60,plain,
! [X0: $i] : ( id @ ( sk__14 @ X0 ) @ ( sk__15 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl22_001,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_cl164,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ ( sk__15 @ X0 ) @ X1 )
| ( id @ ( sk__14 @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl22]) ).
thf(zip_derived_cl496,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__15 @ X0 ) )
| ( id @ ( sk__14 @ X0 ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl164]) ).
thf(zip_derived_cl59,plain,
! [X0: $i] : ( r1 @ ( sk__15 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl501,plain,
! [X0: $i] : ( id @ ( sk__14 @ X0 ) @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl496,zip_derived_cl59]) ).
thf(zip_derived_cl22_002,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_cl503,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ sk_ @ X1 )
| ( id @ ( sk__14 @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl501,zip_derived_cl22]) ).
thf(axiom_8,axiom,
! [X26: $i,X27: $i] :
( ~ ( id @ X26 @ X27 )
| ( ~ ( r1 @ X26 )
& ~ ( r1 @ X27 ) )
| ( ( r1 @ X26 )
& ( r1 @ X27 ) ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_9: $i > $i > $o ).
thf(zf_stmt_11,axiom,
! [X27: $i,X26: $i] :
( ( zip_tseitin_9 @ X27 @ X26 )
=> ( ( r1 @ X27 )
& ( r1 @ X26 ) ) ) ).
thf(zf_stmt_12,type,
zip_tseitin_8: $i > $i > $o ).
thf(zf_stmt_13,axiom,
! [X27: $i,X26: $i] :
( ( zip_tseitin_8 @ X27 @ X26 )
=> ( ~ ( r1 @ X27 )
& ~ ( r1 @ X26 ) ) ) ).
thf(zf_stmt_14,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_14]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( zip_tseitin_8 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl79,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ X0 @ X1 )
| ( zip_tseitin_9 @ X1 @ X0 )
| ~ ( r1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl24]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ( r1 @ X0 )
| ~ ( zip_tseitin_9 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl108,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 )
| ~ ( id @ X1 @ X0 )
| ( r1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl79,zip_derived_cl25]) ).
thf(zip_derived_cl60_003,plain,
! [X0: $i] : ( id @ ( sk__14 @ X0 ) @ ( sk__15 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl21_004,plain,
! [X0: $i,X1: $i] :
( ( id @ X0 @ X1 )
| ~ ( id @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_6]) ).
thf(zip_derived_cl166,plain,
! [X0: $i] : ( id @ ( sk__15 @ X0 ) @ ( sk__14 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl21]) ).
thf(zip_derived_cl22_005,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_cl273,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ ( sk__14 @ X0 ) @ X1 )
| ( id @ ( sk__15 @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl22]) ).
thf(zip_derived_cl3484,plain,
! [X0: $i,X1: $i] :
( ( r1 @ X0 )
| ~ ( r1 @ ( sk__15 @ X1 ) )
| ~ ( id @ ( sk__14 @ X1 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl108,zip_derived_cl273]) ).
thf(zip_derived_cl59_006,plain,
! [X0: $i] : ( r1 @ ( sk__15 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl3500,plain,
! [X0: $i,X1: $i] :
( ( r1 @ X0 )
| ~ ( id @ ( sk__14 @ X1 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3484,zip_derived_cl59]) ).
thf(zip_derived_cl5856,plain,
! [X0: $i] :
( ~ ( id @ sk_ @ X0 )
| ( r1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl503,zip_derived_cl3500]) ).
thf(zip_derived_cl19357,plain,
r1 @ ( sk__2 @ ( sk__13 @ sk_ ) @ sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl1666,zip_derived_cl5856]) ).
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_cl47,plain,
! [X0: $i,X1: $i] : ( r2 @ ( sk__5 @ X0 @ X1 ) @ ( sk__4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] : ( id @ ( sk__6 @ X0 @ X1 ) @ ( sk__4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
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_9,axiom,
! [X28: $i,X29: $i,X30: $i,X31: $i] :
( ~ ( id @ X28 @ X30 )
| ~ ( id @ X29 @ X31 )
| ( ~ ( r2 @ X28 @ X29 )
& ~ ( r2 @ X30 @ X31 ) )
| ( ( r2 @ X28 @ X29 )
& ( r2 @ X30 @ X31 ) ) ) ).
thf(zf_stmt_15,type,
zip_tseitin_11: $i > $i > $i > $i > $o ).
thf(zf_stmt_16,axiom,
! [X31: $i,X30: $i,X29: $i,X28: $i] :
( ( zip_tseitin_11 @ X31 @ X30 @ X29 @ X28 )
=> ( ( r2 @ X30 @ X31 )
& ( r2 @ X28 @ X29 ) ) ) ).
thf(zf_stmt_17,type,
zip_tseitin_10: $i > $i > $i > $i > $o ).
thf(zf_stmt_18,axiom,
! [X31: $i,X30: $i,X29: $i,X28: $i] :
( ( zip_tseitin_10 @ X31 @ X30 @ X29 @ X28 )
=> ( ~ ( r2 @ X30 @ X31 )
& ~ ( r2 @ X28 @ X29 ) ) ) ).
thf(zf_stmt_19,axiom,
! [X28: $i,X29: $i,X30: $i,X31: $i] :
( ( zip_tseitin_11 @ X31 @ X30 @ X29 @ X28 )
| ( zip_tseitin_10 @ X31 @ X30 @ X29 @ X28 )
| ~ ( id @ X29 @ X31 )
| ~ ( id @ X28 @ X30 ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( id @ X0 @ X1 )
| ~ ( id @ X2 @ X3 )
| ( zip_tseitin_10 @ X3 @ X1 @ X2 @ X0 )
| ( zip_tseitin_11 @ X3 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r2 @ X0 @ X1 )
| ~ ( zip_tseitin_10 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_11 @ X0 @ X1 @ X3 @ X2 )
| ~ ( id @ X3 @ X0 )
| ~ ( id @ X2 @ X1 )
| ~ ( r2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl32,zip_derived_cl28]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r2 @ X0 @ X1 )
| ~ ( zip_tseitin_11 @ X2 @ X3 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r2 @ X3 @ X2 )
| ~ ( id @ X1 @ X3 )
| ~ ( id @ X0 @ X2 )
| ( r2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl80,zip_derived_cl31]) ).
thf(zip_derived_cl209,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r2 @ X0 @ X1 )
| ~ ( id @ X1 @ X2 )
| ~ ( r2 @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl111]) ).
thf(zip_derived_cl902,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2 @ X2 @ ( sk__4 @ X1 @ X0 ) )
| ( r2 @ X2 @ ( sk__6 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl209]) ).
thf(zip_derived_cl101_007,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_cl44,plain,
! [X0: $i,X1: $i] : ( r3 @ X0 @ ( sk__7 @ X1 @ X0 ) @ ( sk__6 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
thf(zip_derived_cl174,plain,
! [X0: $i,X1: $i] : ( id @ ( sk__6 @ X1 @ X0 ) @ ( sk__2 @ ( sk__7 @ X1 @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl101,zip_derived_cl44]) ).
thf(zip_derived_cl20_008,plain,
! [X0: $i] : ( id @ X0 @ X0 ),
inference(cnf,[status(esa)],[axiom_5]) ).
thf(zip_derived_cl32_009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( id @ X0 @ X1 )
| ~ ( id @ X2 @ X3 )
| ( zip_tseitin_10 @ X3 @ X1 @ X2 @ X0 )
| ( zip_tseitin_11 @ X3 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r2 @ X0 @ X1 )
| ~ ( zip_tseitin_10 @ X2 @ X3 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_18]) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( zip_tseitin_11 @ X3 @ X2 @ X0 @ X1 )
| ~ ( id @ X0 @ X3 )
| ~ ( id @ X1 @ X2 )
| ~ ( r2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl32,zip_derived_cl29]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( r2 @ X0 @ X1 )
| ~ ( zip_tseitin_11 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_16]) ).
thf(zip_derived_cl112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r2 @ X3 @ X2 )
| ~ ( id @ X3 @ X1 )
| ~ ( id @ X2 @ X0 )
| ( r2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl30]) ).
thf(zip_derived_cl216,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r2 @ X0 @ X1 )
| ~ ( id @ X2 @ X1 )
| ~ ( r2 @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl112]) ).
thf(zip_derived_cl1228,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2 @ X2 @ ( sk__6 @ X1 @ X0 ) )
| ( r2 @ X2 @ ( sk__2 @ ( sk__7 @ X1 @ X0 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl174,zip_derived_cl216]) ).
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_010,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_cl183,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_cl209_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r2 @ X0 @ X1 )
| ~ ( id @ X1 @ X2 )
| ~ ( r2 @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl111]) ).
thf(zip_derived_cl899,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r2 @ X2 @ ( sk__2 @ X1 @ X0 ) )
| ( r2 @ X2 @ ( sk__5 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl183,zip_derived_cl209]) ).
thf(zip_derived_cl47_012,plain,
! [X0: $i,X1: $i] : ( r2 @ ( sk__5 @ X0 @ X1 ) @ ( sk__4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
thf(zip_derived_cl45_013,plain,
! [X0: $i,X1: $i] : ( id @ ( sk__6 @ X0 @ X1 ) @ ( sk__4 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] : ( r2 @ X0 @ ( sk__7 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
thf(zip_derived_cl44_014,plain,
! [X0: $i,X1: $i] : ( r3 @ X0 @ ( sk__7 @ X1 @ X0 ) @ ( sk__6 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
thf(zeroplustwoidtwo,conjecture,
? [Y1: $i] :
( ? [Y3: $i] :
( ? [Y5: $i] :
( ? [Y8: $i] :
( ( r2 @ Y8 @ Y5 )
& ( r1 @ Y8 ) )
& ( r2 @ Y5 @ Y3 ) )
& ( id @ 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_20,negated_conjecture,
~ ? [Y1: $i] :
( ? [Y3: $i] :
( ? [Y5: $i] :
( ? [Y8: $i] :
( ( r2 @ Y8 @ Y5 )
& ( r1 @ Y8 ) )
& ( r2 @ Y5 @ Y3 ) )
& ( id @ 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)],[zeroplustwoidtwo]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( id @ X0 @ X1 )
| ~ ( r1 @ X2 )
| ~ ( r2 @ X2 @ X3 )
| ~ ( r2 @ X3 @ X1 )
| ~ ( r1 @ X4 )
| ~ ( r2 @ X4 @ X5 )
| ~ ( r2 @ X5 @ X6 )
| ~ ( r3 @ X7 @ X6 @ X0 )
| ~ ( r1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf(zip_derived_cl323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( r1 @ X0 )
| ~ ( r2 @ X2 @ ( sk__7 @ X1 @ X0 ) )
| ~ ( r2 @ X3 @ X2 )
| ~ ( r1 @ X3 )
| ~ ( r2 @ X5 @ X4 )
| ~ ( r2 @ X6 @ X5 )
| ~ ( r1 @ X6 )
| ~ ( id @ ( sk__6 @ X1 @ X0 ) @ X4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl67]) ).
thf(zip_derived_cl585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( id @ ( sk__6 @ X1 @ X0 ) @ X2 )
| ~ ( r1 @ X3 )
| ~ ( r2 @ X3 @ X4 )
| ~ ( r2 @ X4 @ X2 )
| ~ ( r1 @ X5 )
| ~ ( r2 @ X5 @ X1 )
| ~ ( r1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl323]) ).
thf(zip_derived_cl596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X0 )
| ~ ( r2 @ X2 @ X1 )
| ~ ( r1 @ X2 )
| ~ ( r2 @ X3 @ ( sk__4 @ X1 @ X0 ) )
| ~ ( r2 @ X4 @ X3 )
| ~ ( r1 @ X4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl585]) ).
thf(zip_derived_cl600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X2 )
| ~ ( r2 @ X2 @ ( sk__5 @ X1 @ X0 ) )
| ~ ( r1 @ X3 )
| ~ ( r2 @ X3 @ X1 )
| ~ ( r1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl596]) ).
thf(zip_derived_cl9151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r2 @ X2 @ ( sk__2 @ X1 @ X0 ) )
| ~ ( r1 @ X0 )
| ~ ( r2 @ X3 @ X1 )
| ~ ( r1 @ X3 )
| ~ ( r1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl899,zip_derived_cl600]) ).
thf(zip_derived_cl22134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r2 @ X2 @ ( sk__6 @ X1 @ X0 ) )
| ~ ( r1 @ X2 )
| ~ ( r1 @ X3 )
| ~ ( r2 @ X3 @ ( sk__7 @ X1 @ X0 ) )
| ~ ( r1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1228,zip_derived_cl9151]) ).
thf(zip_derived_cl22680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r2 @ X2 @ ( sk__4 @ X1 @ X0 ) )
| ~ ( r1 @ X0 )
| ~ ( r2 @ X3 @ ( sk__7 @ X1 @ X0 ) )
| ~ ( r1 @ X3 )
| ~ ( r1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl902,zip_derived_cl22134]) ).
thf(zip_derived_cl22759,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__5 @ X1 @ X0 ) )
| ~ ( r1 @ X2 )
| ~ ( r2 @ X2 @ ( sk__7 @ X1 @ X0 ) )
| ~ ( r1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl22680]) ).
thf(zip_derived_cl43_015,plain,
! [X0: $i,X1: $i] : ( r2 @ X0 @ ( sk__7 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_1a]) ).
thf(zip_derived_cl22765,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( r1 @ X1 )
| ~ ( r1 @ ( sk__5 @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl22759,zip_derived_cl43]) ).
thf(zip_derived_cl183_016,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_cl27_017,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_9 @ X0 @ X1 )
| ( zip_tseitin_8 @ X0 @ X1 )
| ~ ( id @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( zip_tseitin_8 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
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_11]) ).
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_cl656,plain,
! [X0: $i,X1: $i] :
( ( r1 @ ( sk__5 @ X1 @ X0 ) )
| ~ ( r1 @ ( sk__2 @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl183,zip_derived_cl107]) ).
thf(zip_derived_cl22786,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 )
| ~ ( r1 @ X0 )
| ~ ( r1 @ ( sk__2 @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl22765,zip_derived_cl656]) ).
thf(zip_derived_cl22793,plain,
( ~ ( r1 @ sk_ )
| ~ ( r1 @ ( sk__13 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl19357,zip_derived_cl22786]) ).
thf(zip_derived_cl4_018,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] :
( ( r1 @ X0 )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk_ )
| ( r1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl86,plain,
! [X0: $i] :
( ( r1 @ X0 )
| ~ ( id @ X0 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl68,zip_derived_cl2]) ).
thf(zip_derived_cl20_019,plain,
! [X0: $i] : ( id @ X0 @ X0 ),
inference(cnf,[status(esa)],[axiom_5]) ).
thf(zip_derived_cl122,plain,
r1 @ sk_,
inference('sup+',[status(thm)],[zip_derived_cl86,zip_derived_cl20]) ).
thf(zip_derived_cl56,plain,
! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl22794,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl22793,zip_derived_cl122,zip_derived_cl56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN055+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SLywj4u4nk true
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 09:16:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.07/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.07/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.07/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.07/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.07/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 31.04/5.04 % Solved by fo/fo3_bce.sh.
% 31.04/5.04 % BCE start: 68
% 31.04/5.04 % BCE eliminated: 0
% 31.04/5.04 % PE start: 68
% 31.04/5.04 logic: neq
% 31.04/5.04 % PE eliminated: 25
% 31.04/5.04 % done 4154 iterations in 4.270s
% 31.04/5.04 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 31.04/5.04 % SZS output start Refutation
% See solution above
% 31.04/5.05
% 31.04/5.05
% 31.04/5.05 % Terminating...
% 31.63/5.17 % Runner terminated.
% 31.63/5.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------