TSTP Solution File: SYO852^1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO852^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 : Tue May 21 08:50:14 EDT 2024
% Result : Theorem 38.44s 12.98s
% Output : CNFRefutation 38.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 30
% Syntax : Number of formulae : 59 ( 15 unt; 20 typ; 0 def)
% Number of atoms : 148 ( 32 equ; 0 cnn)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 725 ( 35 ~; 40 |; 22 &; 603 @)
% ( 4 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1118 (1118 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 20 usr; 6 con; 0-3 aty)
% Number of variables : 503 ( 366 ^ 134 !; 3 ?; 503 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
c_False: $o ).
thf(decl_25,type,
c_not: $o > $o ).
thf(decl_28,type,
c_iff: $o > $o > $o ).
thf(decl_29,type,
c_In: $i > $i > $o ).
thf(decl_30,type,
c_Subq: $i > $i > $o ).
thf(decl_31,type,
c_Empty: $i ).
thf(decl_33,type,
c_Power: $i > $i ).
thf(decl_86,type,
c_Inj1: $i > $i ).
thf(decl_87,type,
c_Inj0: $i > $i ).
thf(decl_90,type,
c_setsum: $i > $i > $i ).
thf(decl_268,type,
esk1_0: $i ).
thf(decl_280,type,
epred143_0: $o ).
thf(decl_283,type,
esk13_2: $i > $i > $i ).
thf(decl_326,type,
esk52_0: ( ( $i > $i > $i > $i ) > $i ) > ( ( ( ( $i > $i ) > $i > $i ) > $i ) > ( $i > $i > $i ) > $i ) > $i ).
thf(decl_327,type,
esk53_0: ( ( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i ) > $i ) > $i > $i ).
thf(decl_328,type,
esk54_0: ( ( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i ) > $i ) > ( $i > ( $i > $i ) > ( $i > $i ) > $i > $i ) > $i ).
thf(decl_329,type,
esk55_0: ( $i > $i ) > ( $i > $i > ( $i > $i ) > $i ) > $i ).
thf(decl_503,type,
esk221_1: $i > $i > $i ).
thf(decl_519,type,
esk232_1: $i > ( $i > $i > $i > $i ) > $i ).
thf(decl_534,type,
esk247_0: $i > $i > ( $i > $i ) > $i ).
thf(ax13,axiom,
( c_not
= ( ^ [X17: $o] :
( X17
=> c_False ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
thf(conj,conjecture,
! [X201: ( ( $i > $i > $i > $i ) > $i ) > ( ( ( ( $i > $i ) > $i > $i ) > $i ) > ( $i > $i > $i ) > $i ) > $i,X202: ( ( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i ) > $i ) > $i > $i,X203: ( ( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i ) > $i ) > ( $i > ( $i > $i ) > ( $i > $i ) > $i > $i ) > $i,X204: ( $i > $i ) > ( $i > $i > ( $i > $i ) > $i ) > $i] :
( ! [X66: $i,X205: $i,X83: $i,X206: $i] :
( ( X204
@ ^ [X207: $i] : c_Empty
@ ^ [X208: $i,X209: $i,X210: $i > $i] : c_Empty )
= X83 )
=> ( ! [X211: ( $i > $i > $i > $i ) > $i > $i,X212: $i,X213: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ) > $i,X214: ( ( $i > $i ) > ( $i > $i ) > $i ) > ( $i > $i ) > $i] :
( ( X204
@ ^ [X215: $i] : c_Empty
@ ^ [X216: $i,X217: $i,X218: $i > $i] :
( X202
@ ^ [X219: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] :
( c_Inj0
@ ( X219
@ ^ [X220: ( $i > $i ) > $i > $i,X221: $i] :
( X219
@ ^ [X222: ( $i > $i ) > $i > $i,X173: $i] : c_Empty ) ) )
@ X217 ) )
= ( X202
@ ^ [X223: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] :
( X203
@ ^ [X224: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [X225: $i,X226: $i > $i,X227: $i > $i,X228: $i] : ( X226 @ ( X226 @ X225 ) ) )
@ ( c_setsum @ c_Empty @ ( c_Inj0 @ c_Empty ) ) ) )
=> ( ! [X229: ( ( ( $i > $i ) > $i > $i ) > $i ) > ( ( $i > $i ) > $i ) > ( $i > $i ) > $i > $i,X230: $i,X231: $i > $i,X232: ( $i > $i ) > $i > $i] :
( ( X203
@ ^ [X233: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [X234: $i,X235: $i > $i,X236: $i > $i,X237: $i] :
( X201
@ ^ [X238: $i > $i > $i > $i] : c_Empty
@ ^ [X239: ( ( $i > $i ) > $i > $i ) > $i,X171: $i > $i > $i] :
( X203
@ ^ [X240: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [X172: $i,X241: $i > $i,X242: $i > $i,X181: $i] :
( c_setsum
@ ( X201
@ ^ [X243: $i > $i > $i > $i] : c_Empty
@ ^ [X244: ( ( $i > $i ) > $i > $i ) > $i,X245: $i > $i > $i] : c_Empty )
@ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) )
= ( X201
@ ^ [X166: $i > $i > $i > $i] :
( X204
@ ^ [X246: $i] : c_Empty
@ ^ [X247: $i,X248: $i,X249: $i > $i] : c_Empty )
@ ^ [X250: ( ( $i > $i ) > $i > $i ) > $i,X251: $i > $i > $i] :
( X202
@ ^ [X252: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : c_Empty
@ c_Empty ) ) )
=> ( ! [X253: $i > $i > ( $i > $i ) > $i,X254: $i,X255: ( ( $i > $i > $i ) > $i > $i > $i ) > $i > $i,X256: ( ( $i > $i > $i ) > $i ) > $i] :
( ( X203
@ ^ [X257: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : ( c_Inj0 @ c_Empty )
@ ^ [X258: $i,X259: $i > $i,X260: $i > $i,X261: $i] : c_Empty )
= ( c_setsum @ c_Empty
@ ( X253
@ ( c_setsum
@ ( X253 @ ( c_setsum @ c_Empty @ c_Empty )
@ ( X202
@ ^ [X262: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : c_Empty
@ c_Empty )
@ ^ [X263: $i] : c_Empty )
@ ( X204
@ ^ [X264: $i] : c_Empty
@ ^ [X265: $i,X266: $i,X267: $i > $i] : ( c_setsum @ c_Empty @ c_Empty ) ) )
@ ( X203
@ ^ [X268: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] :
( X201
@ ^ [X167: $i > $i > $i > $i] :
( X256
@ ^ [X168: $i > $i > $i] : c_Empty )
@ ^ [X269: ( ( $i > $i ) > $i > $i ) > $i,X168: $i > $i > $i] :
( X256
@ ^ [X169: $i > $i > $i] : c_Empty ) )
@ ^ [X270: $i,X271: $i > $i,X272: $i > $i,X273: $i] : c_Empty )
@ ^ [X274: $i] :
( X202
@ ^ [X275: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] :
( X203
@ ^ [X276: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [X277: $i,X278: $i > $i,X279: $i > $i,X280: $i] : c_Empty )
@ ( c_setsum @ c_Empty
@ ( X202
@ ^ [X281: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : c_Empty
@ c_Empty ) ) ) ) ) )
=> ( ! [X66: $i,X282: $i,X283: $i > $i,X284: $i] :
( ( X202
@ ^ [X285: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] :
( c_setsum
@ ( X201
@ ^ [X167: $i > $i > $i > $i] : ( X167 @ c_Empty @ X284 @ c_Empty )
@ ^ [X286: ( ( $i > $i ) > $i > $i ) > $i,X168: $i > $i > $i] :
( X204
@ ^ [X287: $i] :
( X286
@ ^ [X288: $i > $i,X289: $i] : c_Empty )
@ ^ [X290: $i,X291: $i,X292: $i > $i] : c_Empty ) )
@ ( c_Inj0 @ c_Empty ) )
@ c_Empty )
= ( c_Inj1 @ X66 ) )
=> ( ! [X293: ( ( ( $i > $i ) > $i > $i ) > $i ) > $i,X294: $i,X295: ( ( $i > $i ) > ( $i > $i ) > $i ) > ( $i > $i ) > $i,X296: $i > $i > ( $i > $i ) > $i > $i] :
( ( X202
@ ^ [X297: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : X294
@ ( c_Inj1 @ c_Empty ) )
= ( c_Inj0
@ ( X204
@ ^ [X298: $i] :
( X296
@ ( X203
@ ^ [X299: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] :
( X295
@ ^ [X300: $i > $i,X301: $i > $i] : c_Empty
@ ^ [X302: $i] : c_Empty )
@ ^ [X303: $i,X304: $i > $i,X305: $i > $i,X306: $i] : ( c_setsum @ c_Empty @ c_Empty ) )
@ ( c_Inj1 @ c_Empty )
@ ^ [X307: $i] :
( X203
@ ^ [X308: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : X307
@ ^ [X309: $i,X310: $i > $i,X311: $i > $i,X312: $i] : ( X310 @ c_Empty ) )
@ ( c_Inj0 @ c_Empty ) )
@ ^ [X313: $i,X314: $i,X315: $i > $i] : X313 ) ) )
=> ( ! [X66: $i,X316: $i,X83: $i,X317: ( $i > ( $i > $i ) > $i > $i ) > $i > $i] :
( ( X201
@ ^ [X166: $i > $i > $i > $i] : X83
@ ^ [X318: ( ( $i > $i ) > $i > $i ) > $i,X319: $i > $i > $i] :
( X204
@ ^ [X320: $i] :
( c_Inj0
@ ( c_setsum @ X320
@ ( X317
@ ^ [X321: $i,X322: $i > $i,X323: $i] : c_Empty
@ c_Empty ) ) )
@ ^ [X324: $i,X325: $i,X326: $i > $i] : ( c_setsum @ ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty ) @ ( c_setsum @ c_Empty @ c_Empty ) ) @ ( c_Inj0 @ ( X326 @ c_Empty ) ) ) ) )
= X83 )
=> ( ! [X66: $i,X327: ( ( $i > $i ) > $i ) > ( $i > $i > $i ) > $i,X83: $i,X328: $i > ( ( $i > $i ) > $i ) > $i] :
( ( X201
@ ^ [X166: $i > $i > $i > $i] :
( c_setsum
@ ( c_Inj1
@ ( c_setsum @ c_Empty
@ ( X202
@ ^ [X329: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : c_Empty
@ c_Empty ) ) )
@ ( c_Inj1 @ c_Empty ) )
@ ^ [X330: ( ( $i > $i ) > $i > $i ) > $i,X331: $i > $i > $i] :
( c_setsum @ X83
@ ( c_Inj0
@ ( X331
@ ( X203
@ ^ [X332: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [X333: $i,X334: $i > $i,X335: $i > $i,X336: $i] : c_Empty )
@ ( X331 @ c_Empty @ c_Empty ) ) ) ) )
= ( X328 @ c_Empty
@ ^ [X337: $i > $i] : ( X337 @ c_Empty ) ) )
=> c_False ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(ax5,axiom,
( c_not
@ ? [X7: $i] : ( c_In @ X7 @ c_Empty ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
thf(ax11,axiom,
( c_False
<=> ! [X15: $o] : X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
thf(ax17,axiom,
( c_Subq
= ( ^ [X26: $i,X2: $i] :
! [X9: $i] :
( ( c_In @ X9 @ X26 )
=> ( c_In @ X9 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
thf(ax7,axiom,
! [X10: $i,X2: $i] : ( c_iff @ ( c_In @ X2 @ ( c_Power @ X10 ) ) @ ( c_Subq @ X2 @ X10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
thf(ax3,axiom,
! [X4: $o,X5: $o] :
( ( c_iff @ X4 @ X5 )
=> ( X4
<=> X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(c_0_7,plain,
! [X403: $o] :
( ( c_not @ X403 )
<=> ( X403
=> c_False ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax13])]) ).
thf(c_0_8,negated_conjecture,
~ ! [X201: ( ( $i > $i > $i > $i ) > $i ) > ( ( ( ( $i > $i ) > $i > $i ) > $i ) > ( $i > $i > $i ) > $i ) > $i,X202: ( ( ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i ) > $i ) > $i > $i,X203: ( ( ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i ) > $i ) > ( $i > ( $i > $i ) > ( $i > $i ) > $i > $i ) > $i,X204: ( $i > $i ) > ( $i > $i > ( $i > $i ) > $i ) > $i] :
( ! [X66: $i,X205: $i,X83: $i,X206: $i] :
( ( X204
@ ^ [Z0: $i] : c_Empty
@ ^ [Z0: $i,Z1: $i,Z2: $i > $i] : c_Empty )
= X83 )
=> ( ! [X211: ( $i > $i > $i > $i ) > $i > $i,X212: $i,X213: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ) > $i,X214: ( ( $i > $i ) > ( $i > $i ) > $i ) > ( $i > $i ) > $i] :
( ( X204
@ ^ [Z0: $i] : c_Empty
@ ^ [Z0: $i,Z1: $i,Z2: $i > $i] :
( X202
@ ^ [Z3: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] :
( c_Inj0
@ ( Z3
@ ^ [Z4: ( $i > $i ) > $i > $i,Z5: $i] :
( Z3
@ ^ [Z6: ( $i > $i ) > $i > $i,Z7: $i] : c_Empty ) ) )
@ Z1 ) )
= ( X202
@ ^ [Z0: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] :
( X203
@ ^ [Z1: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [Z1: $i,Z2: $i > $i,Z3: $i > $i,Z4: $i] : ( Z2 @ ( Z2 @ Z1 ) ) )
@ ( c_setsum @ c_Empty @ ( c_Inj0 @ c_Empty ) ) ) )
=> ( ! [X229: ( ( ( $i > $i ) > $i > $i ) > $i ) > ( ( $i > $i ) > $i ) > ( $i > $i ) > $i > $i,X230: $i,X231: $i > $i,X232: ( $i > $i ) > $i > $i] :
( ( X203
@ ^ [Z0: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [Z0: $i,Z1: $i > $i,Z2: $i > $i,Z3: $i] :
( X201
@ ^ [Z4: $i > $i > $i > $i] : c_Empty
@ ^ [Z4: ( ( $i > $i ) > $i > $i ) > $i,Z5: $i > $i > $i] :
( X203
@ ^ [Z6: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [Z6: $i,Z7: $i > $i,Z8: $i > $i,Z9: $i] :
( c_setsum
@ ( X201
@ ^ [Z10: $i > $i > $i > $i] : c_Empty
@ ^ [Z10: ( ( $i > $i ) > $i > $i ) > $i,Z11: $i > $i > $i] : c_Empty )
@ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) )
= ( X201
@ ^ [Z0: $i > $i > $i > $i] :
( X204
@ ^ [Z1: $i] : c_Empty
@ ^ [Z1: $i,Z2: $i,Z3: $i > $i] : c_Empty )
@ ^ [Z0: ( ( $i > $i ) > $i > $i ) > $i,Z1: $i > $i > $i] :
( X202
@ ^ [Z2: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : c_Empty
@ c_Empty ) ) )
=> ( ! [X253: $i > $i > ( $i > $i ) > $i,X254: $i,X255: ( ( $i > $i > $i ) > $i > $i > $i ) > $i > $i,X256: ( ( $i > $i > $i ) > $i ) > $i] :
( ( X203
@ ^ [Z0: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : ( c_Inj0 @ c_Empty )
@ ^ [Z0: $i,Z1: $i > $i,Z2: $i > $i,Z3: $i] : c_Empty )
= ( c_setsum @ c_Empty
@ ( X253
@ ( c_setsum
@ ( X253 @ ( c_setsum @ c_Empty @ c_Empty )
@ ( X202
@ ^ [Z0: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : c_Empty
@ c_Empty )
@ ^ [Z0: $i] : c_Empty )
@ ( X204
@ ^ [Z0: $i] : c_Empty
@ ^ [Z0: $i,Z1: $i,Z2: $i > $i] : ( c_setsum @ c_Empty @ c_Empty ) ) )
@ ( X203
@ ^ [Z0: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] :
( X201
@ ^ [Z1: $i > $i > $i > $i] :
( X256
@ ^ [Z2: $i > $i > $i] : c_Empty )
@ ^ [Z1: ( ( $i > $i ) > $i > $i ) > $i,Z2: $i > $i > $i] :
( X256
@ ^ [Z3: $i > $i > $i] : c_Empty ) )
@ ^ [Z0: $i,Z1: $i > $i,Z2: $i > $i,Z3: $i] : c_Empty )
@ ^ [Z0: $i] :
( X202
@ ^ [Z1: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] :
( X203
@ ^ [Z2: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [Z2: $i,Z3: $i > $i,Z4: $i > $i,Z5: $i] : c_Empty )
@ ( c_setsum @ c_Empty
@ ( X202
@ ^ [Z1: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : c_Empty
@ c_Empty ) ) ) ) ) )
=> ( ! [X66: $i,X282: $i,X283: $i > $i,X284: $i] :
( ( X202
@ ^ [Z0: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] :
( c_setsum
@ ( X201
@ ^ [Z1: $i > $i > $i > $i] : ( Z1 @ c_Empty @ X284 @ c_Empty )
@ ^ [Z1: ( ( $i > $i ) > $i > $i ) > $i,Z2: $i > $i > $i] :
( X204
@ ^ [Z3: $i] :
( Z1
@ ^ [Z4: $i > $i,Z5: $i] : c_Empty )
@ ^ [Z3: $i,Z4: $i,Z5: $i > $i] : c_Empty ) )
@ ( c_Inj0 @ c_Empty ) )
@ c_Empty )
= ( c_Inj1 @ X66 ) )
=> ( ! [X293: ( ( ( $i > $i ) > $i > $i ) > $i ) > $i,X294: $i,X295: ( ( $i > $i ) > ( $i > $i ) > $i ) > ( $i > $i ) > $i,X296: $i > $i > ( $i > $i ) > $i > $i] :
( ( X202
@ ^ [Z0: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : X294
@ ( c_Inj1 @ c_Empty ) )
= ( c_Inj0
@ ( X204
@ ^ [Z0: $i] :
( X296
@ ( X203
@ ^ [Z1: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] :
( X295
@ ^ [Z2: $i > $i,Z3: $i > $i] : c_Empty
@ ^ [Z2: $i] : c_Empty )
@ ^ [Z1: $i,Z2: $i > $i,Z3: $i > $i,Z4: $i] : ( c_setsum @ c_Empty @ c_Empty ) )
@ ( c_Inj1 @ c_Empty )
@ ^ [Z1: $i] :
( X203
@ ^ [Z2: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : Z1
@ ^ [Z2: $i,Z3: $i > $i,Z4: $i > $i,Z5: $i] : ( Z3 @ c_Empty ) )
@ ( c_Inj0 @ c_Empty ) )
@ ^ [Z0: $i,Z1: $i,Z2: $i > $i] : Z0 ) ) )
=> ( ! [X66: $i,X316: $i,X83: $i,X317: ( $i > ( $i > $i ) > $i > $i ) > $i > $i] :
( ( X201
@ ^ [Z0: $i > $i > $i > $i] : X83
@ ^ [Z0: ( ( $i > $i ) > $i > $i ) > $i,Z1: $i > $i > $i] :
( X204
@ ^ [Z2: $i] :
( c_Inj0
@ ( c_setsum @ Z2
@ ( X317
@ ^ [Z3: $i,Z4: $i > $i,Z5: $i] : c_Empty
@ c_Empty ) ) )
@ ^ [Z2: $i,Z3: $i,Z4: $i > $i] : ( c_setsum @ ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty ) @ ( c_setsum @ c_Empty @ c_Empty ) ) @ ( c_Inj0 @ ( Z4 @ c_Empty ) ) ) ) )
= X83 )
=> ( ! [X66: $i,X327: ( ( $i > $i ) > $i ) > ( $i > $i > $i ) > $i,X83: $i,X328: $i > ( ( $i > $i ) > $i ) > $i] :
( ( X201
@ ^ [Z0: $i > $i > $i > $i] :
( c_setsum
@ ( c_Inj1
@ ( c_setsum @ c_Empty
@ ( X202
@ ^ [Z1: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : c_Empty
@ c_Empty ) ) )
@ ( c_Inj1 @ c_Empty ) )
@ ^ [Z0: ( ( $i > $i ) > $i > $i ) > $i,Z1: $i > $i > $i] :
( c_setsum @ X83
@ ( c_Inj0
@ ( Z1
@ ( X203
@ ^ [Z2: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [Z2: $i,Z3: $i > $i,Z4: $i > $i,Z5: $i] : c_Empty )
@ ( Z1 @ c_Empty @ c_Empty ) ) ) ) )
= ( X328 @ c_Empty
@ ^ [Z0: $i > $i] : ( Z0 @ c_Empty ) ) )
=> c_False ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]) ).
thf(c_0_9,axiom,
( ( ~ ? [X7: $i] : ( c_In @ X7 @ c_Empty )
| ( c_not @ $true ) )
& ( ? [X7: $i] : ( c_In @ X7 @ c_Empty )
| ( c_not @ $false ) ) ),
inference(fool_unroll,[status(thm)],[ax5]) ).
thf(c_0_10,plain,
! [X651: $o] :
( ( ~ ( c_not @ X651 )
| ~ X651
| c_False )
& ( X651
| ( c_not @ X651 ) )
& ( ~ c_False
| ( c_not @ X651 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
thf(c_0_11,plain,
! [X649: $o] :
( ( ~ c_False
| X649 )
& ( ~ epred143_0
| c_False ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax11])])])])]) ).
thf(c_0_12,plain,
! [X410: $i,X411: $i] :
( ( c_Subq @ X410 @ X411 )
<=> ! [X9: $i] :
( ( c_In @ X9 @ X410 )
=> ( c_In @ X9 @ X411 ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax17])]) ).
thf(c_0_13,plain,
! [X2333: $i > $i > $i > $i,X2334: $i] :
( ( esk232_1 @ X2334 @ X2333 )
= X2334 ),
inference(variable_rename,[status(thm)],]) ).
thf(c_0_14,negated_conjecture,
! [X986: $i,X987: $i > $i > ( $i > $i ) > $i,X988: ( ( $i > $i > $i ) > $i ) > $i,X989: $i,X990: $i,X991: $i,X992: ( ( $i > $i ) > ( $i > $i ) > $i ) > ( $i > $i ) > $i,X993: $i > $i > ( $i > $i ) > $i > $i,X994: $i,X995: ( $i > ( $i > $i ) > $i > $i ) > $i > $i,X996: $i,X997: $i > ( ( $i > $i ) > $i ) > $i] :
( ( ( esk55_0
@ ^ [Z0: $i] : c_Empty
@ ^ [Z0: $i,Z1: $i,Z2: $i > $i] : c_Empty )
= X986 )
& ( ( esk55_0
@ ^ [Z0: $i] : c_Empty
@ ^ [Z0: $i,Z1: $i,Z2: $i > $i] :
( esk53_0
@ ^ [Z3: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] :
( c_Inj0
@ ( Z3
@ ^ [Z4: ( $i > $i ) > $i > $i,Z5: $i] :
( Z3
@ ^ [Z6: ( $i > $i ) > $i > $i,Z7: $i] : c_Empty ) ) )
@ Z1 ) )
= ( esk53_0
@ ^ [Z0: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] :
( esk54_0
@ ^ [Z1: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [Z1: $i,Z2: $i > $i,Z3: $i > $i,Z4: $i] : ( Z2 @ ( Z2 @ Z1 ) ) )
@ ( c_setsum @ c_Empty @ ( c_Inj0 @ c_Empty ) ) ) )
& ( ( esk54_0
@ ^ [Z0: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [Z0: $i,Z1: $i > $i,Z2: $i > $i,Z3: $i] :
( esk52_0
@ ^ [Z4: $i > $i > $i > $i] : c_Empty
@ ^ [Z4: ( ( $i > $i ) > $i > $i ) > $i,Z5: $i > $i > $i] :
( esk54_0
@ ^ [Z6: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [Z6: $i,Z7: $i > $i,Z8: $i > $i,Z9: $i] :
( c_setsum
@ ( esk52_0
@ ^ [Z10: $i > $i > $i > $i] : c_Empty
@ ^ [Z10: ( ( $i > $i ) > $i > $i ) > $i,Z11: $i > $i > $i] : c_Empty )
@ ( c_setsum @ c_Empty @ c_Empty ) ) ) ) )
= ( esk52_0
@ ^ [Z0: $i > $i > $i > $i] :
( esk55_0
@ ^ [Z1: $i] : c_Empty
@ ^ [Z1: $i,Z2: $i,Z3: $i > $i] : c_Empty )
@ ^ [Z0: ( ( $i > $i ) > $i > $i ) > $i,Z1: $i > $i > $i] :
( esk53_0
@ ^ [Z2: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : c_Empty
@ c_Empty ) ) )
& ( ( esk54_0
@ ^ [Z0: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : ( c_Inj0 @ c_Empty )
@ ^ [Z0: $i,Z1: $i > $i,Z2: $i > $i,Z3: $i] : c_Empty )
= ( c_setsum @ c_Empty
@ ( X987
@ ( c_setsum
@ ( X987 @ ( c_setsum @ c_Empty @ c_Empty )
@ ( esk53_0
@ ^ [Z0: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : c_Empty
@ c_Empty )
@ ^ [Z0: $i] : c_Empty )
@ ( esk55_0
@ ^ [Z0: $i] : c_Empty
@ ^ [Z0: $i,Z1: $i,Z2: $i > $i] : ( c_setsum @ c_Empty @ c_Empty ) ) )
@ ( esk54_0
@ ^ [Z0: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] :
( esk52_0
@ ^ [Z1: $i > $i > $i > $i] :
( X988
@ ^ [Z2: $i > $i > $i] : c_Empty )
@ ^ [Z1: ( ( $i > $i ) > $i > $i ) > $i,Z2: $i > $i > $i] :
( X988
@ ^ [Z3: $i > $i > $i] : c_Empty ) )
@ ^ [Z0: $i,Z1: $i > $i,Z2: $i > $i,Z3: $i] : c_Empty )
@ ^ [Z0: $i] :
( esk53_0
@ ^ [Z1: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] :
( esk54_0
@ ^ [Z2: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [Z2: $i,Z3: $i > $i,Z4: $i > $i,Z5: $i] : c_Empty )
@ ( c_setsum @ c_Empty
@ ( esk53_0
@ ^ [Z1: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : c_Empty
@ c_Empty ) ) ) ) ) )
& ( ( esk53_0
@ ^ [Z0: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] :
( c_setsum
@ ( esk52_0
@ ^ [Z1: $i > $i > $i > $i] : ( Z1 @ c_Empty @ X990 @ c_Empty )
@ ^ [Z1: ( ( $i > $i ) > $i > $i ) > $i,Z2: $i > $i > $i] :
( esk55_0
@ ^ [Z3: $i] :
( Z1
@ ^ [Z4: $i > $i,Z5: $i] : c_Empty )
@ ^ [Z3: $i,Z4: $i,Z5: $i > $i] : c_Empty ) )
@ ( c_Inj0 @ c_Empty ) )
@ c_Empty )
= ( c_Inj1 @ X989 ) )
& ( ( esk53_0
@ ^ [Z0: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : X991
@ ( c_Inj1 @ c_Empty ) )
= ( c_Inj0
@ ( esk55_0
@ ^ [Z0: $i] :
( X993
@ ( esk54_0
@ ^ [Z1: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] :
( X992
@ ^ [Z2: $i > $i,Z3: $i > $i] : c_Empty
@ ^ [Z2: $i] : c_Empty )
@ ^ [Z1: $i,Z2: $i > $i,Z3: $i > $i,Z4: $i] : ( c_setsum @ c_Empty @ c_Empty ) )
@ ( c_Inj1 @ c_Empty )
@ ^ [Z1: $i] :
( esk54_0
@ ^ [Z2: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : Z1
@ ^ [Z2: $i,Z3: $i > $i,Z4: $i > $i,Z5: $i] : ( Z3 @ c_Empty ) )
@ ( c_Inj0 @ c_Empty ) )
@ ^ [Z0: $i,Z1: $i,Z2: $i > $i] : Z0 ) ) )
& ( ( esk52_0
@ ^ [Z0: $i > $i > $i > $i] : X994
@ ^ [Z0: ( ( $i > $i ) > $i > $i ) > $i,Z1: $i > $i > $i] :
( esk55_0
@ ^ [Z2: $i] :
( c_Inj0
@ ( c_setsum @ Z2
@ ( X995
@ ^ [Z3: $i,Z4: $i > $i,Z5: $i] : c_Empty
@ c_Empty ) ) )
@ ^ [Z2: $i,Z3: $i,Z4: $i > $i] : ( c_setsum @ ( c_setsum @ ( c_setsum @ c_Empty @ c_Empty ) @ ( c_setsum @ c_Empty @ c_Empty ) ) @ ( c_Inj0 @ ( Z4 @ c_Empty ) ) ) ) )
= X994 )
& ( ( esk52_0
@ ^ [Z0: $i > $i > $i > $i] :
( c_setsum
@ ( c_Inj1
@ ( c_setsum @ c_Empty
@ ( esk53_0
@ ^ [Z1: ( ( ( $i > $i ) > $i > $i ) > $i > $i ) > $i] : c_Empty
@ c_Empty ) ) )
@ ( c_Inj1 @ c_Empty ) )
@ ^ [Z0: ( ( $i > $i ) > $i > $i ) > $i,Z1: $i > $i > $i] :
( c_setsum @ X996
@ ( c_Inj0
@ ( Z1
@ ( esk54_0
@ ^ [Z2: ( ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i ) > $i > $i > $i > $i] : c_Empty
@ ^ [Z2: $i,Z3: $i > $i,Z4: $i > $i,Z5: $i] : c_Empty )
@ ( Z1 @ c_Empty @ c_Empty ) ) ) ) )
= ( X997 @ c_Empty
@ ^ [Z0: $i > $i] : ( Z0 @ c_Empty ) ) )
& ~ c_False ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_8])])])])])]) ).
thf(c_0_15,plain,
! [X2173: $i > $i,X2172: $i,X2171: $i] :
( ( esk247_0 @ X2171 @ X2172 @ X2173 )
= c_Empty ),
introduced(definition) ).
thf(c_0_16,plain,
! [X2099: $i,X6: $i] :
( ( esk221_1 @ X6 @ X2099 )
= X6 ),
introduced(definition) ).
thf(c_0_17,axiom,
! [X10: $i,X2: $i] :
( ( ~ ( c_In @ X2 @ ( c_Power @ X10 ) )
| ( ( ~ ( c_Subq @ X2 @ X10 )
| ( c_iff @ $true @ $true ) )
& ( ( c_Subq @ X2 @ X10 )
| ( c_iff @ $true @ $false ) ) ) )
& ( ( c_In @ X2 @ ( c_Power @ X10 ) )
| ( ( ~ ( c_Subq @ X2 @ X10 )
| ( c_iff @ $false @ $true ) )
& ( ( c_Subq @ X2 @ X10 )
| ( c_iff @ $false @ $false ) ) ) ) ),
inference(fool_unroll,[status(thm)],[ax7]) ).
thf(c_0_18,plain,
! [X618: $i] :
( ( ~ ( c_In @ X618 @ c_Empty )
| ( c_not @ $true ) )
& ( ( c_In @ esk1_0 @ c_Empty )
| ( c_not @ $false ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).
thf(c_0_19,plain,
( c_False
| ~ ( c_not @ $true ) ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_10])])]) ).
thf(c_0_20,plain,
~ c_False,
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_11])])]) ).
thf(c_0_21,plain,
! [X666: $i,X667: $i,X668: $i,X669: $i,X670: $i] :
( ( ~ ( c_Subq @ X666 @ X667 )
| ~ ( c_In @ X668 @ X666 )
| ( c_In @ X668 @ X667 ) )
& ( ( c_In @ ( esk13_2 @ X669 @ X670 ) @ X669 )
| ( c_Subq @ X669 @ X670 ) )
& ( ~ ( c_In @ ( esk13_2 @ X669 @ X670 ) @ X670 )
| ( c_Subq @ X669 @ X670 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])])])]) ).
thf(c_0_22,plain,
! [X164: $i > $i > $i > $i,X2: $i] :
( ( esk232_1 @ X2 @ X164 )
= X2 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_23,negated_conjecture,
! [X2: $i] :
( ( esk55_0 @ ( esk221_1 @ c_Empty ) @ esk247_0 )
= X2 ),
inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_14]),c_0_15]),c_0_16]) ).
thf(c_0_24,plain,
! [X626: $i,X627: $i] :
( ( ~ ( c_Subq @ X627 @ X626 )
| ( c_iff @ $true @ $true )
| ~ ( c_In @ X627 @ ( c_Power @ X626 ) ) )
& ( ( c_Subq @ X627 @ X626 )
| ( c_iff @ $true @ $false )
| ~ ( c_In @ X627 @ ( c_Power @ X626 ) ) )
& ( ~ ( c_Subq @ X627 @ X626 )
| ( c_iff @ $false @ $true )
| ( c_In @ X627 @ ( c_Power @ X626 ) ) )
& ( ( c_Subq @ X627 @ X626 )
| ( c_iff @ $false @ $false )
| ( c_In @ X627 @ ( c_Power @ X626 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_17])])]) ).
thf(c_0_25,plain,
! [X614: $o,X615: $o] :
( ( ~ X614
| X615
| ~ ( c_iff @ X614 @ X615 ) )
& ( ~ X615
| X614
| ~ ( c_iff @ X614 @ X615 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])]) ).
thf(c_0_26,plain,
! [X2: $i] :
( ( c_not @ $true )
| ~ ( c_In @ X2 @ c_Empty ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_27,plain,
~ ( c_not @ $true ),
inference(sr,[status(thm)],[c_0_19,c_0_20]) ).
thf(c_0_28,plain,
! [X2: $i,X6: $i] :
( ( c_In @ ( esk13_2 @ X2 @ X6 ) @ X2 )
| ( c_Subq @ X2 @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_29,plain,
! [X2: $i] : ( c_Empty = X2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_23]) ).
thf(c_0_30,plain,
! [X2: $i,X6: $i] :
( ( c_iff @ ~ $true @ $true )
| ( c_In @ X2 @ ( c_Power @ X6 ) )
| ~ ( c_Subq @ X2 @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
thf(c_0_31,plain,
~ ( c_iff @ ~ $true @ $true ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_25])])]) ).
thf(c_0_32,plain,
! [X2: $i] :
~ ( c_In @ X2 @ c_Empty ),
inference(sr,[status(thm)],[c_0_26,c_0_27]) ).
thf(c_0_33,plain,
! [X2: $i,X6: $i] :
( ( c_Subq @ X2 @ X6 )
| ~ ( c_In @ ( esk13_2 @ X2 @ X6 ) @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_34,plain,
! [X2: $i,X6: $i] :
( ( c_In @ c_Empty @ X2 )
| ( c_Subq @ X2 @ X6 ) ),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
thf(c_0_35,plain,
! [X2: $i,X6: $i] :
~ ( c_Subq @ X2 @ X6 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_29]),c_0_31]),c_0_32]) ).
thf(c_0_36,plain,
! [X2: $i,X6: $i] :
( ( c_Subq @ X2 @ X6 )
| ~ ( c_In @ c_Empty @ X6 ) ),
inference(rw,[status(thm)],[c_0_33,c_0_29]) ).
thf(c_0_37,plain,
! [X2: $i] : ( c_In @ c_Empty @ X2 ),
inference(sr,[status(thm)],[c_0_34,c_0_35]) ).
thf(c_0_38,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]),c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYO852^1 : TPTP v8.2.0. Released v7.5.0.
% 0.10/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n017.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 : Mon May 20 09:17:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running higher-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.44/12.98 # Version: 3.1.0-ho
% 38.44/12.98 # partial match(2): HSLMSMSSSSLCHSA
% 38.44/12.98 # Preprocessing class: HSLMSLSSSSLCHHA.
% 38.44/12.98 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.44/12.98 # Starting pre_casc_6 with 1500s (5) cores
% 38.44/12.98 # Starting ehoh_best7 with 300s (1) cores
% 38.44/12.98 # Starting new_bool_8 with 300s (1) cores
% 38.44/12.98 # Starting new_ho_11 with 300s (1) cores
% 38.44/12.98 # new_bool_8 with pid 9864 completed with status 8
% 38.44/12.98 # ehoh_best7 with pid 9863 completed with status 0
% 38.44/12.98 # Result found by ehoh_best7
% 38.44/12.98 # partial match(2): HSLMSMSSSSLCHSA
% 38.44/12.98 # Preprocessing class: HSLMSLSSSSLCHHA.
% 38.44/12.98 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.44/12.98 # Starting pre_casc_6 with 1500s (5) cores
% 38.44/12.98 # Starting ehoh_best7 with 300s (1) cores
% 38.44/12.98 # No SInE strategy applied
% 38.44/12.98 # Search class: HGHSM-SMLM33-DHHFFSBC
% 38.44/12.98 # partial match(2): HGHSM-SMLM33-MHFFFSBC
% 38.44/12.98 # Scheduled 6 strats onto 1 cores with 289 seconds (289 total)
% 38.44/12.98 # Starting new_ho_10 with 157s (1) cores
% 38.44/12.98 # new_ho_10 with pid 9880 completed with status 0
% 38.44/12.98 # Result found by new_ho_10
% 38.44/12.98 # partial match(2): HSLMSMSSSSLCHSA
% 38.44/12.98 # Preprocessing class: HSLMSLSSSSLCHHA.
% 38.44/12.98 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.44/12.98 # Starting pre_casc_6 with 1500s (5) cores
% 38.44/12.98 # Starting ehoh_best7 with 300s (1) cores
% 38.44/12.98 # No SInE strategy applied
% 38.44/12.98 # Search class: HGHSM-SMLM33-DHHFFSBC
% 38.44/12.98 # partial match(2): HGHSM-SMLM33-MHFFFSBC
% 38.44/12.98 # Scheduled 6 strats onto 1 cores with 289 seconds (289 total)
% 38.44/12.98 # Starting new_ho_10 with 157s (1) cores
% 38.44/12.98 # Preprocessing time : 0.136 s
% 38.44/12.98 # Presaturation interreduction done
% 38.44/12.98
% 38.44/12.98 # Proof found!
% 38.44/12.98 # SZS status Theorem
% 38.44/12.98 # SZS output start CNFRefutation
% See solution above
% 38.44/12.98 # Parsed axioms : 213
% 38.44/12.98 # Removed by relevancy pruning/SinE : 0
% 38.44/12.98 # Initial clauses : 468728
% 38.44/12.98 # Removed in clause preprocessing : 463862
% 38.44/12.98 # Initial clauses in saturation : 4866
% 38.44/12.98 # Processed clauses : 819
% 38.44/12.98 # ...of these trivial : 169
% 38.44/12.98 # ...subsumed : 322
% 38.44/12.98 # ...remaining for further processing : 328
% 38.44/12.98 # Other redundant clauses eliminated : 3
% 38.44/12.98 # Clauses deleted for lack of memory : 0
% 38.44/12.98 # Backward-subsumed : 33
% 38.44/12.98 # Backward-rewritten : 31
% 38.44/12.98 # Generated clauses : 5
% 38.44/12.98 # ...of the previous two non-redundant : 23
% 38.44/12.98 # ...aggressively subsumed : 0
% 38.44/12.98 # Contextual simplify-reflections : 17
% 38.44/12.98 # Paramodulations : 0
% 38.44/12.98 # Factorizations : 0
% 38.44/12.98 # NegExts : 0
% 38.44/12.98 # Equation resolutions : 3
% 38.44/12.98 # Disequality decompositions : 0
% 38.44/12.98 # Total rewrite steps : 538
% 38.44/12.98 # ...of those cached : 333
% 38.44/12.98 # Propositional unsat checks : 0
% 38.44/12.98 # Propositional check models : 0
% 38.44/12.98 # Propositional check unsatisfiable : 0
% 38.44/12.98 # Propositional clauses : 0
% 38.44/12.98 # Propositional clauses after purity: 0
% 38.44/12.98 # Propositional unsat core size : 0
% 38.44/12.98 # Propositional preprocessing time : 0.000
% 38.44/12.98 # Propositional encoding time : 0.000
% 38.44/12.98 # Propositional solver time : 0.000
% 38.44/12.98 # Success case prop preproc time : 0.000
% 38.44/12.98 # Success case prop encoding time : 0.000
% 38.44/12.98 # Success case prop solver time : 0.000
% 38.44/12.98 # Current number of processed clauses : 259
% 38.44/12.98 # Positive orientable unit clauses : 17
% 38.44/12.98 # Positive unorientable unit clauses: 4
% 38.44/12.98 # Negative unit clauses : 18
% 38.44/12.98 # Non-unit-clauses : 220
% 38.44/12.98 # Current number of unprocessed clauses: 4070
% 38.44/12.98 # ...number of literals in the above : 23219
% 38.44/12.98 # Current number of archived formulas : 0
% 38.44/12.98 # Current number of archived clauses : 66
% 38.44/12.98 # Clause-clause subsumption calls (NU) : 20823
% 38.44/12.98 # Rec. Clause-clause subsumption calls : 14664
% 38.44/12.98 # Non-unit clause-clause subsumptions : 50
% 38.44/12.98 # Unit Clause-clause subsumption calls : 1441
% 38.44/12.98 # Rewrite failures with RHS unbound : 0
% 38.44/12.98 # BW rewrite match attempts : 175
% 38.44/12.98 # BW rewrite match successes : 25
% 38.44/12.98 # Condensation attempts : 819
% 38.44/12.98 # Condensation successes : 1
% 38.44/12.98 # Termbank termtop insertions : 19938734
% 38.44/12.98 # Search garbage collected termcells : 2011864
% 38.44/12.98
% 38.44/12.98 # -------------------------------------------------
% 38.44/12.98 # User time : 11.448 s
% 38.44/12.98 # System time : 0.770 s
% 38.44/12.98 # Total time : 12.218 s
% 38.44/12.98 # Maximum resident set size: 1255720 pages
% 38.44/12.98
% 38.44/12.98 # -------------------------------------------------
% 38.44/12.98 # User time : 11.535 s
% 38.44/12.98 # System time : 0.928 s
% 38.44/12.98 # Total time : 12.463 s
% 38.44/12.98 # Maximum resident set size: 2252 pages
% 38.44/12.98 % E---3.1 exiting
% 38.44/12.98 % E exiting
%------------------------------------------------------------------------------