TSTP Solution File: NUN082+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN082+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OBrzyK3vhL true
% Computer : n019.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 12:54:26 EDT 2023
% Result : Theorem 0.22s 0.82s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 53
% Syntax : Number of formulae : 128 ( 32 unt; 33 typ; 0 def)
% Number of atoms : 193 ( 59 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 592 ( 75 ~; 57 |; 33 &; 419 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 79 ( 79 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 2 con; 0-4 aty)
% Number of variables : 212 ( 0 ^; 185 !; 27 ?; 212 :)
% Comments :
%------------------------------------------------------------------------------
thf(r3_type,type,
r3: $i > $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(r2_type,type,
r2: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $i > $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i > $i > $i ).
thf(sk__15_type,type,
sk__15: $i > $i ).
thf(sk__8_type,type,
sk__8: $i > $i > $i ).
thf(sk__14_type,type,
sk__14: $i > $i ).
thf(r1_type,type,
r1: $i > $o ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $i > $o ).
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(sk__9_type,type,
sk__9: $i > $i > $i ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(sk__10_type,type,
sk__10: $i > $i > $i ).
thf(r4_type,type,
r4: $i > $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(axiom_5a,axiom,
! [X5: $i] :
? [Y8: $i] :
( ? [Y18: $i] :
( ( Y8 = Y18 )
& ( r1 @ Y18 ) )
& ? [Y17: $i] :
( ( r4 @ X5 @ Y17 @ Y8 )
& ( r1 @ Y17 ) ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i] : ( r4 @ X0 @ ( sk__16 @ X0 ) @ ( sk__14 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl35,plain,
! [X0: $i] : ( r1 @ ( sk__16 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(axiom_1,axiom,
? [Y24: $i] :
! [X19: $i] :
( ( ~ ( r1 @ X19 )
& ( X19 != Y24 ) )
| ( ( r1 @ X19 )
& ( 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 )
=> ( ( 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 )
=> ( ( X19 != Y24 )
& ~ ( r1 @ X19 ) ) ) ).
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] :
( ~ ( r1 @ X0 )
| ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl168,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_1]) ).
thf(zip_derived_cl179,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl168,zip_derived_cl2]) ).
thf(zip_derived_cl217,plain,
! [X0: $i] :
( ( sk__16 @ X0 )
= sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl179]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ( sk__14 @ X0 )
= ( sk__15 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] : ( r1 @ ( sk__15 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl179_001,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl168,zip_derived_cl2]) ).
thf(zip_derived_cl224,plain,
! [X0: $i] :
( ( sk__15 @ X0 )
= sk_ ),
inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl179]) ).
thf(zip_derived_cl231,plain,
! [X0: $i] :
( ( sk__14 @ X0 )
= sk_ ),
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl224]) ).
thf(zip_derived_cl240,plain,
! [X0: $i] : ( r4 @ X0 @ sk_ @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl217,zip_derived_cl231]) ).
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_5,type,
zip_tseitin_7: $i > $i > $i > $i > $o ).
thf(zf_stmt_6,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_7,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
thf(zf_stmt_8,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_9,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_9]) ).
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_8]) ).
thf(zip_derived_cl176,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_6]) ).
thf(zip_derived_cl195,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r4 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__3 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl176,zip_derived_cl17]) ).
thf(zip_derived_cl255,plain,
! [X0: $i] :
( sk_
= ( sk__3 @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl240,zip_derived_cl195]) ).
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_10,type,
zip_tseitin_5: $i > $i > $i > $i > $o ).
thf(zf_stmt_11,axiom,
! [X15: $i,Y22: $i,X14: $i,X13: $i] :
( ( zip_tseitin_5 @ X15 @ Y22 @ X14 @ X13 )
=> ( ( X15 = Y22 )
& ( r3 @ X13 @ X14 @ X15 ) ) ) ).
thf(zf_stmt_12,type,
zip_tseitin_4: $i > $i > $i > $i > $o ).
thf(zf_stmt_13,axiom,
! [X15: $i,Y22: $i,X14: $i,X13: $i] :
( ( zip_tseitin_4 @ X15 @ Y22 @ X14 @ X13 )
=> ( ( X15 != Y22 )
& ~ ( r3 @ X13 @ X14 @ X15 ) ) ) ).
thf(zf_stmt_14,axiom,
! [X13: $i,X14: $i] :
? [Y22: $i] :
! [X15: $i] :
( ( zip_tseitin_5 @ X15 @ Y22 @ X14 @ X13 )
| ( zip_tseitin_4 @ X15 @ Y22 @ X14 @ X13 ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X0 @ ( sk__2 @ X1 @ X2 ) @ X1 @ X2 )
| ( zip_tseitin_4 @ X0 @ ( sk__2 @ X1 @ X2 ) @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_14]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r3 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_4 @ X2 @ X3 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl174,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X2 @ ( sk__2 @ X1 @ X0 ) @ X1 @ X0 )
| ~ ( r3 @ X0 @ X1 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl11]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( zip_tseitin_5 @ X1 @ X0 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl191,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r3 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl174,zip_derived_cl12]) ).
thf(zip_derived_cl200,plain,
! [X0: $i] :
( ( sk__12 @ X0 )
= ( sk__2 @ ( sk__13 @ X0 ) @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl31,zip_derived_cl191]) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ( sk__12 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl179_002,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( X0 = sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl168,zip_derived_cl2]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl211,plain,
! [X0: $i] :
( ( sk__13 @ X0 )
= sk_ ),
inference('s_sup+',[status(thm)],[zip_derived_cl179,zip_derived_cl32]) ).
thf(zip_derived_cl329,plain,
! [X0: $i] :
( X0
= ( sk__2 @ sk_ @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl200,zip_derived_cl33,zip_derived_cl211]) ).
thf(axiom_2a,axiom,
! [X2: $i,X9: $i] :
? [Y2: $i] :
( ? [Y6: $i] :
( ( r4 @ X2 @ X9 @ Y6 )
& ( r3 @ Y6 @ X2 @ Y2 ) )
& ? [Y3: $i] :
( ( Y3 = Y2 )
& ? [Y14: $i] :
( ( r4 @ X2 @ Y14 @ Y3 )
& ( r2 @ X9 @ Y14 ) ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] : ( r3 @ ( sk__9 @ X0 @ X1 ) @ X1 @ ( sk__8 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_2a]) ).
thf(zip_derived_cl191_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r3 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__2 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl174,zip_derived_cl12]) ).
thf(zip_derived_cl199,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_cl191]) ).
thf(zip_derived_cl330,plain,
! [X0: $i] :
( ( sk__8 @ X0 @ sk_ )
= ( sk__9 @ X0 @ sk_ ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl329,zip_derived_cl199]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] : ( r4 @ X0 @ X1 @ ( sk__9 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_2a]) ).
thf(zip_derived_cl331,plain,
! [X0: $i] : ( r4 @ sk_ @ X0 @ ( sk__8 @ X0 @ sk_ ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl28]) ).
thf(zip_derived_cl195_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r4 @ X0 @ X1 @ X2 )
| ( X2
= ( sk__3 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl176,zip_derived_cl17]) ).
thf(zip_derived_cl401,plain,
! [X0: $i] :
( ( sk__8 @ X0 @ sk_ )
= ( sk__3 @ X0 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl331,zip_derived_cl195]) ).
thf(zip_derived_cl4_005,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ X0 @ sk_ )
| ( zip_tseitin_0 @ X0 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X1 != X0 )
| ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl167,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_1]) ).
thf(zip_derived_cl178,plain,
! [X0: $i] :
( ( X0 != sk_ )
| ( r1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl167,zip_derived_cl3]) ).
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_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_cl171,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_cl186,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( sk__1 @ X0 ) )
| ( r2 @ X0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl171,zip_derived_cl8]) ).
thf(zip_derived_cl229,plain,
! [X0: $i] : ( r2 @ X0 @ ( sk__1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl186]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] : ( r4 @ X0 @ ( sk__11 @ X1 @ X0 ) @ ( sk__10 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_2a]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ( sk__10 @ X0 @ X1 )
= ( sk__8 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_2a]) ).
thf(zip_derived_cl230,plain,
! [X0: $i,X1: $i] : ( r4 @ X0 @ ( sk__11 @ X1 @ X0 ) @ ( sk__8 @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl25]) ).
thf(xtimesoneeqzero,conjecture,
? [Y1: $i,Y2: $i] :
( ? [Y5: $i] :
( ( Y2 = Y5 )
& ( r1 @ Y5 ) )
& ? [Y3: $i] :
( ? [Y4: $i] :
( ( r2 @ Y4 @ Y3 )
& ( r1 @ Y4 ) )
& ( r4 @ Y1 @ Y3 @ Y2 ) ) ) ).
thf(zf_stmt_20,negated_conjecture,
~ ? [Y1: $i,Y2: $i] :
( ? [Y5: $i] :
( ( Y2 = Y5 )
& ( r1 @ Y5 ) )
& ? [Y3: $i] :
( ? [Y4: $i] :
( ( r2 @ Y4 @ Y3 )
& ( r1 @ Y4 ) )
& ( r4 @ Y1 @ Y3 @ Y2 ) ) ),
inference('cnf.neg',[status(esa)],[xtimesoneeqzero]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X0 )
| ( X1 != X0 )
| ~ ( r4 @ X2 @ X3 @ X1 )
| ~ ( r2 @ X4 @ X3 )
| ~ ( r1 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf(zip_derived_cl250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X0 )
| ~ ( r2 @ X0 @ X1 )
| ~ ( r4 @ X3 @ X1 @ X2 )
| ~ ( r1 @ X2 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl263,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X2 )
| ~ ( r2 @ X2 @ ( sk__11 @ X1 @ X0 ) )
| ~ ( r1 @ ( sk__8 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl230,zip_derived_cl250]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] : ( r2 @ X0 @ ( sk__11 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[axiom_2a]) ).
thf(zip_derived_cl9_006,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_cl172,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_cl187,plain,
! [X0: $i,X1: $i] :
( ~ ( r2 @ X0 @ X1 )
| ( X1
= ( sk__1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl172,zip_derived_cl7]) ).
thf(zip_derived_cl237,plain,
! [X0: $i,X1: $i] :
( ( sk__11 @ X1 @ X0 )
= ( sk__1 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl187]) ).
thf(zip_derived_cl340,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X2 )
| ~ ( r2 @ X2 @ ( sk__1 @ X1 ) )
| ~ ( r1 @ ( sk__8 @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl263,zip_derived_cl237]) ).
thf(zip_derived_cl350,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( r1 @ ( sk__8 @ X0 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl340]) ).
thf(zip_derived_cl355,plain,
! [X0: $i,X1: $i] :
( ( ( sk__8 @ X1 @ X0 )
!= sk_ )
| ~ ( r1 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl350]) ).
thf(zip_derived_cl413,plain,
! [X0: $i] :
( ( ( sk__3 @ X0 @ sk_ )
!= sk_ )
| ~ ( r1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl401,zip_derived_cl355]) ).
thf(zip_derived_cl420,plain,
( ( sk_ != sk_ )
| ~ ( r1 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl413]) ).
thf(zip_derived_cl32_007,plain,
! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl211_008,plain,
! [X0: $i] :
( ( sk__13 @ X0 )
= sk_ ),
inference('s_sup+',[status(thm)],[zip_derived_cl179,zip_derived_cl32]) ).
thf(zip_derived_cl215,plain,
r1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl211]) ).
thf(zip_derived_cl421,plain,
sk_ != sk_,
inference(demod,[status(thm)],[zip_derived_cl420,zip_derived_cl215]) ).
thf(zip_derived_cl422,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl421]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUN082+2 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OBrzyK3vhL true
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 09:18:43 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.82 % Solved by fo/fo6_bce.sh.
% 0.22/0.82 % BCE start: 45
% 0.22/0.82 % BCE eliminated: 0
% 0.22/0.82 % PE start: 45
% 0.22/0.82 logic: eq
% 0.22/0.82 % PE eliminated: 15
% 0.22/0.82 % done 131 iterations in 0.057s
% 0.22/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.82 % SZS output start Refutation
% See solution above
% 0.22/0.82
% 0.22/0.82
% 0.22/0.82 % Terminating...
% 1.51/0.88 % Runner terminated.
% 1.51/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------