TSTP Solution File: NUN087+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN087+1 : 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.kvFomCTf7U true
% Computer : n027.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 12:54:28 EDT 2023
% Result : Theorem 67.09s 10.32s
% Output : Refutation 67.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 49
% Syntax : Number of formulae : 168 ( 31 unt; 27 typ; 0 def)
% Number of atoms : 333 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1115 ( 169 ~; 157 |; 27 &; 754 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 72 ( 72 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 19 usr; 2 con; 0-6 aty)
% Number of variables : 314 ( 0 ^; 299 !; 15 ?; 314 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__13_type,type,
sk__13: $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__15_type,type,
sk__15: $i > $i ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(r4_type,type,
r4: $i > $i > $i > $o ).
thf(r3_type,type,
r3: $i > $i > $i > $o ).
thf(sk__14_type,type,
sk__14: $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $i > $i > $o ).
thf(id_type,type,
id: $i > $i > $o ).
thf(zip_tseitin_14_type,type,
zip_tseitin_14: $i > $i > $i > $i > $i > $i > $o ).
thf(r1_type,type,
r1: $i > $o ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $i > $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $i > $i > $o ).
thf(zip_tseitin_15_type,type,
zip_tseitin_15: $i > $i > $i > $i > $i > $i > $o ).
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_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_5a,axiom,
! [X5: $i] :
? [Y8: $i] :
( ? [Y18: $i] :
( ( r1 @ Y18 )
& ( id @ Y8 @ Y18 ) )
& ? [Y17: $i] :
( ( r4 @ X5 @ Y17 @ Y8 )
& ( r1 @ Y17 ) ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i] : ( r1 @ ( sk__16 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl127,plain,
! [X0: $i] : ( id @ ( sk__16 @ X0 ) @ sk_ ),
inference('s_sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl58]) ).
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_cl171,plain,
! [X0: $i] : ( id @ sk_ @ ( sk__16 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl21]) ).
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_8,axiom,
! [X26: $i,X27: $i] :
( ~ ( id @ X26 @ X27 )
| ( ~ ( r1 @ X26 )
& ~ ( r1 @ X27 ) )
| ( ( r1 @ X26 )
& ( r1 @ X27 ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_9: $i > $i > $o ).
thf(zf_stmt_6,axiom,
! [X27: $i,X26: $i] :
( ( zip_tseitin_9 @ X27 @ X26 )
=> ( ( r1 @ X27 )
& ( r1 @ X26 ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_8: $i > $i > $o ).
thf(zf_stmt_8,axiom,
! [X27: $i,X26: $i] :
( ( zip_tseitin_8 @ X27 @ X26 )
=> ( ~ ( r1 @ X27 )
& ~ ( r1 @ X26 ) ) ) ).
thf(zf_stmt_9,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_9]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( zip_tseitin_8 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
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_6]) ).
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_cl145,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( r1 @ ( sk__12 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl107]) ).
thf(zip_derived_cl89_001,plain,
! [X0: $i] :
( ( id @ X0 @ sk_ )
| ~ ( r1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl69,zip_derived_cl3]) ).
thf(zip_derived_cl166,plain,
! [X0: $i] :
( ~ ( r1 @ X0 )
| ( id @ ( sk__12 @ X0 ) @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl89]) ).
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_cl5374,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ( id @ ( sk__12 @ X0 ) @ X1 )
| ~ ( id @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl22]) ).
thf(zip_derived_cl54_002,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_cl146,plain,
! [X0: $i] : ( id @ X0 @ ( sk__12 @ X0 ) ),
inference('s_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_cl215,plain,
! [X0: $i,X1: $i] :
( ( id @ X0 @ X1 )
| ~ ( id @ ( sk__12 @ X0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl22]) ).
thf(zip_derived_cl6516,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ sk_ @ X0 )
| ~ ( r1 @ X1 )
| ( id @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5374,zip_derived_cl215]) ).
thf(zip_derived_cl7015,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 )
| ( id @ X1 @ ( sk__16 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl171,zip_derived_cl6516]) ).
thf(zip_derived_cl57,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] :
( ( ( id @ X18 @ Y23 )
& ( r4 @ X16 @ X17 @ X18 ) )
| ( ~ ( r4 @ X16 @ X17 @ X18 )
& ~ ( id @ X18 @ Y23 ) ) ) ).
thf(zf_stmt_10,type,
zip_tseitin_7: $i > $i > $i > $i > $o ).
thf(zf_stmt_11,axiom,
! [X18: $i,Y23: $i,X17: $i,X16: $i] :
( ( zip_tseitin_7 @ X18 @ Y23 @ X17 @ X16 )
=> ( ~ ( id @ X18 @ Y23 )
& ~ ( r4 @ X16 @ X17 @ X18 ) ) ) ).
thf(zf_stmt_12,type,
zip_tseitin_6: $i > $i > $i > $i > $o ).
thf(zf_stmt_13,axiom,
! [X18: $i,Y23: $i,X17: $i,X16: $i] :
( ( zip_tseitin_6 @ X18 @ Y23 @ X17 @ X16 )
=> ( ( r4 @ X16 @ X17 @ X18 )
& ( id @ X18 @ Y23 ) ) ) ).
thf(zf_stmt_14,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_14]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( id @ X0 @ X1 )
| ~ ( zip_tseitin_6 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_7 @ X2 @ ( sk__3 @ X1 @ X0 ) @ X1 @ X0 )
| ( id @ X2 @ ( sk__3 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl16]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r4 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_7 @ X2 @ X3 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl105,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( id @ X0 @ ( sk__3 @ X1 @ X2 ) )
| ~ ( r4 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl77,zip_derived_cl18]) ).
thf(zip_derived_cl27_005,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_9 @ X0 @ X1 )
| ( zip_tseitin_8 @ X0 @ X1 )
| ~ ( id @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ~ ( zip_tseitin_8 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
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_6]) ).
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_cl358,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r4 @ X0 @ X1 @ X2 )
| ~ ( r1 @ X2 )
| ( r1 @ ( sk__3 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl108]) ).
thf(zip_derived_cl429,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__14 @ X0 ) )
| ( r1 @ ( sk__3 @ ( sk__16 @ X0 ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl358]) ).
thf(zip_derived_cl60,plain,
! [X0: $i] : ( id @ ( sk__14 @ X0 ) @ ( sk__15 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl107_006,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_cl199,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__15 @ X0 ) )
| ( r1 @ ( sk__14 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl107]) ).
thf(zip_derived_cl59,plain,
! [X0: $i] : ( r1 @ ( sk__15 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_5a]) ).
thf(zip_derived_cl202,plain,
! [X0: $i] : ( r1 @ ( sk__14 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl59]) ).
thf(zip_derived_cl430,plain,
! [X0: $i] : ( r1 @ ( sk__3 @ ( sk__16 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl202]) ).
thf(zip_derived_cl89_007,plain,
! [X0: $i] :
( ( id @ X0 @ sk_ )
| ~ ( r1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl69,zip_derived_cl3]) ).
thf(zip_derived_cl56,plain,
! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl125,plain,
! [X0: $i] : ( id @ ( sk__13 @ X0 ) @ sk_ ),
inference('s_sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl56]) ).
thf(zip_derived_cl21_008,plain,
! [X0: $i,X1: $i] :
( ( id @ X0 @ X1 )
| ~ ( id @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_6]) ).
thf(zip_derived_cl135,plain,
! [X0: $i] : ( id @ sk_ @ ( sk__13 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl21]) ).
thf(zip_derived_cl5374_009,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 )
| ( id @ ( sk__12 @ X0 ) @ X1 )
| ~ ( id @ sk_ @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl166,zip_derived_cl22]) ).
thf(zip_derived_cl54_010,plain,
! [X0: $i] : ( id @ ( sk__12 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl54_011,plain,
! [X0: $i] : ( id @ ( sk__12 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl22_012,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_cl144,plain,
! [X0: $i,X1: $i] :
( ( id @ ( sk__12 @ X0 ) @ X1 )
| ~ ( id @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl22]) ).
thf(zip_derived_cl144_013,plain,
! [X0: $i,X1: $i] :
( ( id @ ( sk__12 @ X0 ) @ X1 )
| ~ ( id @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl22]) ).
thf(zip_derived_cl21_014,plain,
! [X0: $i,X1: $i] :
( ( id @ X0 @ X1 )
| ~ ( id @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_6]) ).
thf(zip_derived_cl273,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ X1 @ X0 )
| ( id @ X0 @ ( sk__12 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl21]) ).
thf(zip_derived_cl22_015,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_cl548,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( id @ X0 @ X1 )
| ( id @ X1 @ X2 )
| ~ ( id @ ( sk__12 @ X0 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl22]) ).
thf(zip_derived_cl585,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( id @ X1 @ X0 )
| ~ ( id @ X1 @ X2 )
| ( id @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl548]) ).
thf(zip_derived_cl617,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ ( sk__12 @ X0 ) @ X1 )
| ( id @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl585]) ).
thf(zip_derived_cl6517,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ sk_ @ X0 )
| ~ ( r1 @ X1 )
| ( id @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5374,zip_derived_cl617]) ).
thf(zip_derived_cl7051,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 )
| ( id @ ( sk__13 @ X0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl6517]) ).
thf(zip_derived_cl135_016,plain,
! [X0: $i] : ( id @ sk_ @ ( sk__13 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl21]) ).
thf(zip_derived_cl6516_017,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ sk_ @ X0 )
| ~ ( r1 @ X1 )
| ( id @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5374,zip_derived_cl215]) ).
thf(zip_derived_cl7012,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 )
| ( id @ X1 @ ( sk__13 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl6516]) ).
thf(zip_derived_cl22_018,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_cl8907,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 )
| ( id @ X1 @ X2 )
| ~ ( id @ ( sk__13 @ X0 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7012,zip_derived_cl22]) ).
thf(zip_derived_cl10616,plain,
! [X0: $i,X2: $i] :
( ~ ( r1 @ X0 )
| ~ ( r1 @ X2 )
| ( id @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7051,zip_derived_cl8907]) ).
thf(zip_derived_cl19_019,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_14]) ).
thf(zip_derived_cl15,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_13]) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_7 @ X0 @ ( sk__3 @ X1 @ X2 ) @ X1 @ X2 )
| ( r4 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl15]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( id @ X0 @ X1 )
| ~ ( zip_tseitin_7 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r4 @ X0 @ X1 @ X2 )
| ~ ( id @ X2 @ ( sk__3 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl76,zip_derived_cl17]) ).
thf(zip_derived_cl10815,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X2 )
| ~ ( r1 @ ( sk__3 @ X1 @ X0 ) )
| ( r4 @ X0 @ X1 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10616,zip_derived_cl102]) ).
thf(zip_derived_cl40293,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 )
| ( r4 @ X0 @ ( sk__16 @ X0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl10815]) ).
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_15,type,
zip_tseitin_15: $i > $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_16,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_17,type,
zip_tseitin_14: $i > $i > $i > $i > $i > $i > $o ).
thf(zf_stmt_18,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_19,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_19]) ).
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_18]) ).
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_16]) ).
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_cl40304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X0 )
| ~ ( id @ X2 @ ( sk__16 @ X1 ) )
| ~ ( id @ X3 @ X1 )
| ~ ( id @ X4 @ X0 )
| ( r4 @ X3 @ X2 @ X4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl40293,zip_derived_cl119]) ).
thf(zip_derived_cl40383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X1 )
| ~ ( r1 @ X2 )
| ~ ( id @ X3 @ X0 )
| ~ ( id @ X4 @ X2 )
| ( r4 @ X3 @ X1 @ X4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7015,zip_derived_cl40304]) ).
thf(zip_derived_cl40641,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r4 @ X1 @ X2 @ X1 )
| ~ ( id @ X1 @ X0 )
| ~ ( r1 @ X0 )
| ~ ( r1 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl40383]) ).
thf(zip_derived_cl40642,plain,
! [X0: $i,X1: $i] :
( ( r4 @ X0 @ X1 @ X0 )
| ~ ( r1 @ X0 )
| ~ ( r1 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl40641]) ).
thf(zip_derived_cl105_020,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( id @ X0 @ ( sk__3 @ X1 @ X2 ) )
| ~ ( r4 @ X2 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl77,zip_derived_cl18]) ).
thf(zip_derived_cl135_021,plain,
! [X0: $i] : ( id @ sk_ @ ( sk__13 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl21]) ).
thf(zip_derived_cl144_022,plain,
! [X0: $i,X1: $i] :
( ( id @ ( sk__12 @ X0 ) @ X1 )
| ~ ( id @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl22]) ).
thf(zip_derived_cl107_023,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_cl272,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ X1 @ X0 )
| ~ ( r1 @ X0 )
| ( r1 @ ( sk__12 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl107]) ).
thf(zip_derived_cl298,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__13 @ X0 ) )
| ( r1 @ ( sk__12 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl272]) ).
thf(zip_derived_cl56_024,plain,
! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl311,plain,
r1 @ ( sk__12 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl298,zip_derived_cl56]) ).
thf(zip_derived_cl144_025,plain,
! [X0: $i,X1: $i] :
( ( id @ ( sk__12 @ X0 ) @ X1 )
| ~ ( id @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl22]) ).
thf(zip_derived_cl108_026,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_cl274,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ X1 @ X0 )
| ~ ( r1 @ ( sk__12 @ X1 ) )
| ( r1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl108]) ).
thf(zip_derived_cl453,plain,
! [X0: $i] :
( ~ ( id @ sk_ @ X0 )
| ( r1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl274]) ).
thf(zip_derived_cl20_027,plain,
! [X0: $i] : ( id @ X0 @ X0 ),
inference(cnf,[status(esa)],[axiom_5]) ).
thf(zip_derived_cl20_028,plain,
! [X0: $i] : ( id @ X0 @ X0 ),
inference(cnf,[status(esa)],[axiom_5]) ).
thf(zip_derived_cl102_029,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( r4 @ X0 @ X1 @ X2 )
| ~ ( id @ X2 @ ( sk__3 @ X1 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl76,zip_derived_cl17]) ).
thf(zip_derived_cl255,plain,
! [X0: $i,X1: $i] : ( r4 @ X0 @ X1 @ ( sk__3 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl102]) ).
thf(zerotimeszeroeqzero,conjecture,
? [Y1: $i] :
( ? [Y3: $i] :
( ( r1 @ Y3 )
& ( id @ Y1 @ Y3 ) )
& ? [Y2: $i] :
( ( r4 @ Y2 @ Y2 @ Y1 )
& ( r1 @ Y2 ) ) ) ).
thf(zf_stmt_20,negated_conjecture,
~ ? [Y1: $i] :
( ? [Y3: $i] :
( ( r1 @ Y3 )
& ( id @ Y1 @ Y3 ) )
& ? [Y2: $i] :
( ( r4 @ Y2 @ Y2 @ Y1 )
& ( r1 @ Y2 ) ) ),
inference('cnf.neg',[status(esa)],[zerotimeszeroeqzero]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( id @ X0 @ X1 )
| ~ ( r1 @ X1 )
| ~ ( r1 @ X2 )
| ~ ( r4 @ X2 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_20]) ).
thf(zip_derived_cl2634,plain,
! [X0: $i,X1: $i] :
( ~ ( id @ ( sk__3 @ X0 @ X0 ) @ X1 )
| ~ ( r1 @ X1 )
| ~ ( r1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl67]) ).
thf(zip_derived_cl2714,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__3 @ X0 @ X0 ) )
| ~ ( r1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl2634]) ).
thf(zip_derived_cl2773,plain,
! [X0: $i] :
( ~ ( id @ sk_ @ ( sk__3 @ X0 @ X0 ) )
| ~ ( r1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl2714]) ).
thf(zip_derived_cl2791,plain,
! [X0: $i] :
( ~ ( r4 @ X0 @ X0 @ sk_ )
| ~ ( r1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl2773]) ).
thf(zip_derived_cl40942,plain,
( ~ ( r1 @ sk_ )
| ~ ( r1 @ sk_ )
| ~ ( r1 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl40642,zip_derived_cl2791]) ).
thf(zip_derived_cl125_030,plain,
! [X0: $i] : ( id @ ( sk__13 @ X0 ) @ sk_ ),
inference('s_sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl56]) ).
thf(zip_derived_cl108_031,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_cl136,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__13 @ X0 ) )
| ( r1 @ sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl108]) ).
thf(zip_derived_cl56_032,plain,
! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
inference(cnf,[status(esa)],[axiom_4a]) ).
thf(zip_derived_cl137,plain,
r1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl56]) ).
thf(zip_derived_cl137_033,plain,
r1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl56]) ).
thf(zip_derived_cl137_034,plain,
r1 @ sk_,
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl56]) ).
thf(zip_derived_cl41002,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl40942,zip_derived_cl137,zip_derived_cl137,zip_derived_cl137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN087+1 : 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.kvFomCTf7U true
% 0.13/0.34 % Computer : n027.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 10:21:06 EDT 2023
% 0.13/0.35 % 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
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 67.09/10.32 % Solved by fo/fo6_bce.sh.
% 67.09/10.32 % BCE start: 68
% 67.09/10.32 % BCE eliminated: 0
% 67.09/10.32 % PE start: 68
% 67.09/10.32 logic: neq
% 67.09/10.32 % PE eliminated: 25
% 67.09/10.32 % done 4653 iterations in 9.579s
% 67.09/10.32 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 67.09/10.32 % SZS output start Refutation
% See solution above
% 67.09/10.32
% 67.09/10.32
% 67.09/10.32 % Terminating...
% 67.96/10.47 % Runner terminated.
% 67.96/10.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------