TSTP Solution File: SYO879^1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO879^1 : 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 08:50:18 EDT 2024
% Result : Theorem 60.26s 16.83s
% Output : CNFRefutation 60.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 44
% Syntax : Number of formulae : 99 ( 19 unt; 30 typ; 0 def)
% Number of atoms : 1170 ( 139 equ; 0 cnn)
% Maximal formula atoms : 223 ( 16 avg)
% Number of connectives : 4315 ( 367 ~; 583 |; 188 &;3128 @)
% ( 10 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 66 ( 13 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 292 ( 292 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 30 usr; 10 con; 0-10 aty)
% Number of variables : 399 ( 5 ^ 337 !; 57 ?; 399 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
c_False: $o ).
thf(decl_25,type,
c_not: $o > $o ).
thf(decl_26,type,
c_and: $o > $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_79,type,
c_ordsucc: $i > $i ).
thf(decl_96,type,
c_ap: $i > $i > $i ).
thf(decl_253,type,
epred128_10: $i > ( $i > $i > $i > $i ) > ( $i > $i > $i > $i ) > $i > ( $i > $i > $i ) > ( $i > $i > $i ) > $i > $i > $i > $i > $o ).
thf(decl_269,type,
epred144_8: $i > $i > $i > $i > ( $i > $o ) > ( $i > $i ) > ( $i > $i > $i ) > ( $i > $o ) > $o ).
thf(decl_270,type,
epred145_7: $i > $i > $i > $i > ( $i > $o ) > $i > ( $i > $o ) > $o ).
thf(decl_271,type,
epred146_8: $i > $i > $i > $i > ( $i > $o ) > ( $i > $i ) > ( $i > $i > $i ) > ( $i > $o ) > $o ).
thf(decl_272,type,
esk1_0: $i ).
thf(decl_285,type,
epred148_2: $o > $o > $o ).
thf(decl_287,type,
esk13_2: $i > $i > $i ).
thf(decl_330,type,
esk52_0: $i > $i > $i ).
thf(decl_331,type,
epred154_0: $i > $o ).
thf(decl_332,type,
epred155_0: $i > $o ).
thf(decl_333,type,
esk53_0: $i > $i ).
thf(decl_334,type,
esk54_0: $i ).
thf(decl_335,type,
esk55_0: $i ).
thf(decl_336,type,
esk56_0: $i ).
thf(decl_337,type,
esk57_0: $i ).
thf(decl_338,type,
esk58_0: $i ).
thf(decl_496,type,
esk214_8: ( $i > $i > $i ) > ( $i > $o ) > ( $i > $o ) > ( $i > $i ) > $i > $i > $i > $i > $i ).
thf(decl_497,type,
esk215_8: ( $i > $i > $i ) > ( $i > $o ) > ( $i > $o ) > ( $i > $i ) > $i > $i > $i > $i > $i ).
thf(decl_505,type,
esk219_0: $i > $i > $i ).
thf(decl_518,type,
epred166_1: ( $i > $i > $o ) > $i > $o ).
thf(ax2,axiom,
! [X3: $o] :
( ( c_not @ ( c_not @ X3 ) )
=> X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(ax13,axiom,
( c_not
= ( ^ [X17: $o] :
( X17
=> c_False ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
thf(ax14,axiom,
( c_and
= ( ^ [X18: $o,X19: $o] :
! [X20: $o] :
( ( X18
=> ( X19
=> X20 ) )
=> X20 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
thf(conj,conjecture,
( c_not
@ ! [X201: $i > $i > $o,X202: $i > $i > $i,X203: $i > $o,X204: $i > $o,X205: $i > $i,X206: $i,X83: $i,X207: $i,X208: $i,X209: $i] :
( ( c_and
@ ! [X210: $i] :
( ( ( X205 @ X209 )
= X210 )
=> ( ( c_and @ ( X203 @ X210 )
@ ( ( X207 = X206 )
=> ( c_and
@ ! [X211: $i] : ( X209 = X208 )
@ ? [X212: $i] : ( X204 @ X210 ) ) ) )
=> ? [X213: $i] : ( X207 = X207 ) ) )
@ ( c_not @ ( X204 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) ) ) )
=> ( X83 = X209 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(ax5,axiom,
( c_not
@ ? [X7: $i] : ( c_In @ X7 @ c_Empty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
thf(ax7,axiom,
! [X10: $i,X2: $i] : ( c_iff @ ( c_In @ X2 @ ( c_Power @ X10 ) ) @ ( c_Subq @ X2 @ X10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
thf(ax17,axiom,
( c_Subq
= ( ^ [X26: $i,X2: $i] :
! [X9: $i] :
( ( c_In @ X9 @ X26 )
=> ( c_In @ X9 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
thf(ax3,axiom,
! [X4: $o,X5: $o] :
( ( c_iff @ X4 @ X5 )
=> ( X4
<=> X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
thf(c_0_8,axiom,
! [X3: $o] :
( ( ( ~ ( c_not @ X3 )
| ( c_not @ $true ) )
& ( ( c_not @ X3 )
| ( c_not @ $false ) ) )
=> X3 ),
inference(fool_unroll,[status(thm)],[ax2]) ).
thf(c_0_9,plain,
! [X243: $o] :
( ( c_not @ X243 )
<=> ( X243
=> c_False ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax13])]) ).
thf(c_0_10,plain,
! [X202: $i > $i > $i,X203: $i > $o,X204: $i > $o,X205: $i > $i,X209: $i,X208: $i,X207: $i,X206: $i] :
( ( epred146_8 @ X206 @ X207 @ X208 @ X209 @ X204 @ X205 @ X202 @ X203 )
<=> ( ! [X210: $i] :
( ( ( X205 @ X209 )
= X210 )
=> ( ( ( ~ ( X203 @ X210 )
| ( ( ~ ( ( X207 = X206 )
=> ( ( ~ ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $false ) ) ) )
& ( ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( X207 = X206 )
=> ( ( ~ ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $false ) ) ) )
& ( ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( X203 @ X210 )
| ( ( ~ ( ( X207 = X206 )
=> ( ( ~ ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $false ) ) ) )
& ( ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( X207 = X206 )
=> ( ( ~ ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $false ) ) ) )
& ( ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $false ) ) ) ) )
=> ? [X213: $i] : ( X207 = X207 ) ) )
| ( ( ( ( ~ ( X204 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X204 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X204 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) )
| ( c_not @ $true ) )
& ( ( X204 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ),
introduced(definition) ).
thf(c_0_11,plain,
! [X203: $i > $o,X204: $i > $o,X206: $i,X207: $i,X208: $i,X209: $i,X210: $i] :
( ( epred145_7 @ X210 @ X207 @ X209 @ X208 @ X204 @ X206 @ X203 )
<=> ( ( ~ ( X203 @ X210 )
| ( ( ~ ( ( X207 = X206 )
=> ( ( ~ ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $false ) ) ) )
& ( ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( X207 = X206 )
=> ( ( ~ ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $false ) ) ) )
& ( ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( X203 @ X210 )
| ( ( ~ ( ( X207 = X206 )
=> ( ( ~ ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $false ) ) ) )
& ( ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( X207 = X206 )
=> ( ( ~ ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $false ) ) ) )
& ( ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $false ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_12,plain,
! [X202: $i > $i > $i,X203: $i > $o,X204: $i > $o,X205: $i > $i,X209: $i,X208: $i,X207: $i,X206: $i] :
( ( epred144_8 @ X206 @ X207 @ X208 @ X209 @ X204 @ X205 @ X202 @ X203 )
<=> ( ~ ! [X210: $i] :
( ( ( X205 @ X209 )
= X210 )
=> ( ( ( ~ ( X203 @ X210 )
| ( ( ~ ( ( X207 = X206 )
=> ( ( ~ ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $false ) ) ) )
& ( ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( X207 = X206 )
=> ( ( ~ ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $false ) ) ) )
& ( ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $true @ $false ) ) ) )
& ( ( X203 @ X210 )
| ( ( ~ ( ( X207 = X206 )
=> ( ( ~ ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $false ) ) ) )
& ( ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( X207 = X206 )
=> ( ( ~ ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $true @ $false ) ) ) )
& ( ! [X211: $i] : ( X209 = X208 )
| ( ( ~ ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $true ) )
& ( ? [X212: $i] : ( X204 @ X210 )
| ( c_and @ $false @ $false ) ) ) ) ) )
| ( c_and @ $false @ $false ) ) ) ) )
=> ? [X213: $i] : ( X207 = X207 ) ) )
| ( ( ( ( ~ ( X204 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X204 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X204 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) )
| ( c_not @ $true ) )
& ( ( X204 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) ) ),
introduced(definition) ).
thf(c_0_13,plain,
! [X172: $i,X173: $i,X174: $i,X181: $i,X188: $i,X432: $i > $i > $i,X434: $i > $i > $i,X440: $i > $i > $i > $i,X437: $i > $i > $i > $i,X435: $i] :
( ( epred128_10 @ X435 @ X437 @ X440 @ X188 @ X434 @ X432 @ X181 @ X173 @ X174 @ X172 )
<=> ( ( ( ( ( ( X437 @ X188 @ ( X432 @ ( X434 @ X435 @ X172 ) @ ( X440 @ X173 @ X174 @ X172 ) ) @ X181 )
!= X435 )
| ~ ( c_not @ $true ) )
& ( ( ( X437 @ X188 @ ( X432 @ ( X434 @ X435 @ X172 ) @ ( X440 @ X173 @ X174 @ X172 ) ) @ X181 )
= X435 )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ( ( X437 @ X188 @ ( X432 @ ( X434 @ X435 @ X172 ) @ ( X440 @ X173 @ X174 @ X172 ) ) @ X181 )
!= X435 )
| ( c_not @ $true ) )
& ( ( ( X437 @ X188 @ ( X432 @ ( X434 @ X435 @ X172 ) @ ( X440 @ X173 @ X174 @ X172 ) ) @ X181 )
= X435 )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ),
introduced(definition) ).
thf(c_0_14,plain,
! [X244: $o,X245: $o] :
( ( c_and @ X244 @ X245 )
<=> ! [X20: $o] :
( ( X244
=> ( X245
=> X20 ) )
=> X20 ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax14])]) ).
thf(c_0_15,plain,
! [X453: $o] :
( ( ~ ( c_not @ X453 )
| ( c_not @ X453 )
| X453 )
& ( ~ ( c_not @ $false )
| ( c_not @ X453 )
| X453 )
& ( ~ ( c_not @ X453 )
| ~ ( c_not @ $true )
| X453 )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| X453 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
thf(c_0_16,plain,
! [X491: $o] :
( ( ~ ( c_not @ X491 )
| ~ X491
| c_False )
& ( X491
| ( c_not @ X491 ) )
& ( ~ c_False
| ( c_not @ X491 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
thf(c_0_17,plain,
! [X202: $i > $i > $i,X203: $i > $o,X204: $i > $o,X205: $i > $i,X209: $i,X208: $i,X207: $i,X206: $i] :
( ( epred146_8 @ X206 @ X207 @ X208 @ X209 @ X204 @ X205 @ X202 @ X203 )
<=> ( ! [X210: $i] :
( ( ( X205 @ X209 )
= X210 )
=> ( ( epred145_7 @ X210 @ X207 @ X209 @ X208 @ X204 @ X206 @ X203 )
=> ? [X213: $i] : ( X207 = X207 ) ) )
| ( ( ( ( ~ ( X204 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X204 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $false @ $true ) )
& ( ( ( ~ ( X204 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) )
| ( c_not @ $true ) )
& ( ( X204 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $false @ $false ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_18,plain,
! [X202: $i > $i > $i,X203: $i > $o,X204: $i > $o,X205: $i > $i,X209: $i,X208: $i,X207: $i,X206: $i] :
( ( epred144_8 @ X206 @ X207 @ X208 @ X209 @ X204 @ X205 @ X202 @ X203 )
<=> ( ~ ! [X210: $i] :
( ( ( X205 @ X209 )
= X210 )
=> ( ( epred145_7 @ X210 @ X207 @ X209 @ X208 @ X204 @ X206 @ X203 )
=> ? [X213: $i] : ( X207 = X207 ) ) )
| ( ( ( ( ~ ( X204 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) )
| ~ ( c_not @ $true ) )
& ( ( X204 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) )
| ~ ( c_not @ $false ) ) )
| ( c_and @ $true @ $true ) )
& ( ( ( ~ ( X204 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) )
| ( c_not @ $true ) )
& ( ( X204 @ ( X205 @ ( X205 @ ( X202 @ X207 @ X206 ) ) ) )
| ( c_not @ $false ) ) )
| ( c_and @ $true @ $false ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_12,c_0_11]) ).
thf(c_0_19,plain,
! [X1751: $i,X1752: $i,X1753: $i,X1754: $i,X1755: $i,X1756: $i > $i > $i,X1757: $i > $i > $i,X1758: $i > $i > $i > $i,X1759: $i > $i > $i > $i,X1760: $i] :
( ( ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ~ ( c_not @ $true )
| ( c_and @ $false @ $true )
| ~ ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ~ ( c_not @ $false )
| ( c_and @ $false @ $true )
| ~ ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ( c_not @ $true )
| ( c_and @ $false @ $false )
| ~ ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ( c_not @ $false )
| ( c_and @ $false @ $false )
| ~ ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ~ ( c_not @ $false )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ~ ( c_not @ $true )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ~ ( c_and @ $false @ $false )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ( c_not @ $false )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ~ ( c_not @ $false )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ( c_not @ $false )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ~ ( c_not @ $true )
| ( c_not @ $false )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ( c_not @ $false )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ~ ( c_and @ $false @ $false )
| ( c_not @ $false )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ( c_not @ $true )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ~ ( c_not @ $false )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ( c_not @ $true )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ~ ( c_not @ $true )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ( c_not @ $true )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ( c_not @ $true )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ~ ( c_and @ $false @ $false )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ( c_not @ $true )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ~ ( c_not @ $false )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ~ ( c_not @ $true )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ~ ( c_and @ $false @ $false )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ~ ( c_and @ $false @ $true )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ~ ( c_not @ $false )
| ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
= X1760 )
| ~ ( c_and @ $false @ $true )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ( ( X1759 @ X1755 @ ( X1756 @ ( X1757 @ X1760 @ X1751 ) @ ( X1758 @ X1752 @ X1753 @ X1751 ) ) @ X1754 )
!= X1760 )
| ~ ( c_not @ $true )
| ~ ( c_and @ $false @ $true )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ~ ( c_and @ $false @ $true )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) )
& ( ~ ( c_and @ $false @ $false )
| ~ ( c_and @ $false @ $true )
| ( epred128_10 @ X1760 @ X1759 @ X1758 @ X1755 @ X1757 @ X1756 @ X1754 @ X1752 @ X1753 @ X1751 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
thf(c_0_20,plain,
! [X492: $o,X493: $o,X494: $o,X495: $o,X496: $o] :
( ( X492
| X494
| ~ ( c_and @ X492 @ X493 ) )
& ( X493
| X494
| ~ ( c_and @ X492 @ X493 ) )
& ( ~ X494
| X494
| ~ ( c_and @ X492 @ X493 ) )
& ( ~ X495
| ~ X496
| ( epred148_2 @ X495 @ X496 )
| ( c_and @ X495 @ X496 ) )
& ( ~ ( epred148_2 @ X495 @ X496 )
| ( c_and @ X495 @ X496 ) ) ),
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_14])])])])])])]) ).
thf(c_0_21,plain,
( ~ ( c_not @ ~ $true )
| ~ ( c_not @ $true ) ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_15])])]) ).
thf(c_0_22,plain,
c_not @ ~ $true,
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_16])])]) ).
thf(c_0_23,plain,
! [X2036: $i] :
( ( esk219_0 @ X2036 )
= c_ordsucc ),
inference(variable_rename,[status(thm)],]) ).
thf(c_0_24,negated_conjecture,
~ ( ( ~ ! [X201: $i > $i > $o,X202: $i > $i > $i,X203: $i > $o,X204: $i > $o,X205: $i > $i,X206: $i,X83: $i,X207: $i,X208: $i,X209: $i] :
( ( ( epred144_8 @ X206 @ X207 @ X208 @ X209 @ X204 @ X205 @ X202 @ X203 )
& ( epred146_8 @ X206 @ X207 @ X208 @ X209 @ X204 @ X205 @ X202 @ X203 ) )
=> ( X83 = X209 ) )
| ( c_not @ $true ) )
& ( ! [X201: $i > $i > $o,X202: $i > $i > $i,X203: $i > $o,X204: $i > $o,X205: $i > $i,X206: $i,X83: $i,X207: $i,X208: $i,X209: $i] :
( ( ( epred144_8 @ X206 @ X207 @ X208 @ X209 @ X204 @ X205 @ X202 @ X203 )
& ( epred146_8 @ X206 @ X207 @ X208 @ X209 @ X204 @ X205 @ X202 @ X203 ) )
=> ( X83 = X209 ) )
| ( c_not @ $false ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_12]),c_0_10]),c_0_12]),c_0_10]) ).
thf(c_0_25,plain,
! [X1940: $i > $i > $i,X1941: $i > $o,X1942: $i > $o,X1943: $i > $i,X1944: $i,X1945: $i,X1946: $i,X1947: $i,X1948: $i,X1949: $i > $i > $i,X1950: $i > $o,X1951: $i > $o,X1952: $i > $i,X1953: $i,X1954: $i,X1955: $i,X1956: $i] :
( ( ~ ( X1942 @ ( X1943 @ ( X1943 @ ( X1940 @ X1946 @ X1947 ) ) ) )
| ~ ( c_not @ $true )
| ( c_and @ $false @ $true )
| ( ( X1943 @ X1944 )
!= X1948 )
| ~ ( epred145_7 @ X1948 @ X1946 @ X1944 @ X1945 @ X1942 @ X1947 @ X1941 )
| ( X1946 = X1946 )
| ~ ( epred146_8 @ X1947 @ X1946 @ X1945 @ X1944 @ X1942 @ X1943 @ X1940 @ X1941 ) )
& ( ( X1942 @ ( X1943 @ ( X1943 @ ( X1940 @ X1946 @ X1947 ) ) ) )
| ~ ( c_not @ $false )
| ( c_and @ $false @ $true )
| ( ( X1943 @ X1944 )
!= X1948 )
| ~ ( epred145_7 @ X1948 @ X1946 @ X1944 @ X1945 @ X1942 @ X1947 @ X1941 )
| ( X1946 = X1946 )
| ~ ( epred146_8 @ X1947 @ X1946 @ X1945 @ X1944 @ X1942 @ X1943 @ X1940 @ X1941 ) )
& ( ~ ( X1942 @ ( X1943 @ ( X1943 @ ( X1940 @ X1946 @ X1947 ) ) ) )
| ( c_not @ $true )
| ( c_and @ $false @ $false )
| ( ( X1943 @ X1944 )
!= X1948 )
| ~ ( epred145_7 @ X1948 @ X1946 @ X1944 @ X1945 @ X1942 @ X1947 @ X1941 )
| ( X1946 = X1946 )
| ~ ( epred146_8 @ X1947 @ X1946 @ X1945 @ X1944 @ X1942 @ X1943 @ X1940 @ X1941 ) )
& ( ( X1942 @ ( X1943 @ ( X1943 @ ( X1940 @ X1946 @ X1947 ) ) ) )
| ( c_not @ $false )
| ( c_and @ $false @ $false )
| ( ( X1943 @ X1944 )
!= X1948 )
| ~ ( epred145_7 @ X1948 @ X1946 @ X1944 @ X1945 @ X1942 @ X1947 @ X1941 )
| ( X1946 = X1946 )
| ~ ( epred146_8 @ X1947 @ X1946 @ X1945 @ X1944 @ X1942 @ X1943 @ X1940 @ X1941 ) )
& ( ( ( X1952 @ X1953 )
= ( esk215_8 @ X1949 @ X1950 @ X1951 @ X1952 @ X1953 @ X1954 @ X1955 @ X1956 ) )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ( epred145_7 @ ( esk215_8 @ X1949 @ X1950 @ X1951 @ X1952 @ X1953 @ X1954 @ X1955 @ X1956 ) @ X1955 @ X1953 @ X1954 @ X1951 @ X1956 @ X1950 )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ( X1955 != X1955 )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ~ ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( c_not @ $false )
| ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ~ ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ~ ( c_not @ $true )
| ~ ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ~ ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( c_and @ $false @ $false )
| ~ ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( c_not @ $false )
| ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( c_not @ $false )
| ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( c_not @ $false )
| ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ~ ( c_not @ $true )
| ( c_not @ $false )
| ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ( c_not @ $false )
| ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( c_and @ $false @ $false )
| ( c_not @ $false )
| ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ~ ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( c_not @ $true )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( c_not @ $false )
| ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ~ ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( c_not @ $true )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ~ ( c_not @ $true )
| ~ ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( c_not @ $true )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ~ ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( c_not @ $true )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( c_and @ $false @ $false )
| ~ ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( c_not @ $true )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( c_not @ $false )
| ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ~ ( c_not @ $true )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( c_and @ $false @ $false )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ~ ( c_and @ $false @ $true )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( c_not @ $false )
| ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ~ ( c_and @ $false @ $true )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( X1951 @ ( X1952 @ ( X1952 @ ( X1949 @ X1955 @ X1956 ) ) ) )
| ~ ( c_not @ $true )
| ~ ( c_and @ $false @ $true )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ~ ( c_and @ $false @ $true )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) )
& ( ~ ( c_and @ $false @ $false )
| ~ ( c_and @ $false @ $true )
| ( epred146_8 @ X1956 @ X1955 @ X1954 @ X1953 @ X1951 @ X1952 @ X1949 @ X1950 ) ) ),
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)],[inference(fof_simplification,[status(thm)],[c_0_17])])])])])])])]) ).
thf(c_0_26,plain,
! [X1915: $i > $i > $i,X1916: $i > $o,X1917: $i > $o,X1918: $i > $i,X1919: $i,X1920: $i,X1921: $i,X1922: $i,X1924: $i > $i > $i,X1925: $i > $o,X1926: $i > $o,X1927: $i > $i,X1928: $i,X1929: $i,X1930: $i,X1931: $i,X1932: $i] :
( ( ~ ( X1917 @ ( X1918 @ ( X1918 @ ( X1915 @ X1921 @ X1922 ) ) ) )
| ~ ( c_not @ $true )
| ( c_and @ $true @ $true )
| ( ( X1918 @ X1919 )
= ( esk214_8 @ X1915 @ X1916 @ X1917 @ X1918 @ X1919 @ X1920 @ X1921 @ X1922 ) )
| ~ ( epred144_8 @ X1922 @ X1921 @ X1920 @ X1919 @ X1917 @ X1918 @ X1915 @ X1916 ) )
& ( ( X1917 @ ( X1918 @ ( X1918 @ ( X1915 @ X1921 @ X1922 ) ) ) )
| ~ ( c_not @ $false )
| ( c_and @ $true @ $true )
| ( ( X1918 @ X1919 )
= ( esk214_8 @ X1915 @ X1916 @ X1917 @ X1918 @ X1919 @ X1920 @ X1921 @ X1922 ) )
| ~ ( epred144_8 @ X1922 @ X1921 @ X1920 @ X1919 @ X1917 @ X1918 @ X1915 @ X1916 ) )
& ( ~ ( X1917 @ ( X1918 @ ( X1918 @ ( X1915 @ X1921 @ X1922 ) ) ) )
| ( c_not @ $true )
| ( c_and @ $true @ $false )
| ( ( X1918 @ X1919 )
= ( esk214_8 @ X1915 @ X1916 @ X1917 @ X1918 @ X1919 @ X1920 @ X1921 @ X1922 ) )
| ~ ( epred144_8 @ X1922 @ X1921 @ X1920 @ X1919 @ X1917 @ X1918 @ X1915 @ X1916 ) )
& ( ( X1917 @ ( X1918 @ ( X1918 @ ( X1915 @ X1921 @ X1922 ) ) ) )
| ( c_not @ $false )
| ( c_and @ $true @ $false )
| ( ( X1918 @ X1919 )
= ( esk214_8 @ X1915 @ X1916 @ X1917 @ X1918 @ X1919 @ X1920 @ X1921 @ X1922 ) )
| ~ ( epred144_8 @ X1922 @ X1921 @ X1920 @ X1919 @ X1917 @ X1918 @ X1915 @ X1916 ) )
& ( ~ ( X1917 @ ( X1918 @ ( X1918 @ ( X1915 @ X1921 @ X1922 ) ) ) )
| ~ ( c_not @ $true )
| ( c_and @ $true @ $true )
| ( epred145_7 @ ( esk214_8 @ X1915 @ X1916 @ X1917 @ X1918 @ X1919 @ X1920 @ X1921 @ X1922 ) @ X1921 @ X1919 @ X1920 @ X1917 @ X1922 @ X1916 )
| ~ ( epred144_8 @ X1922 @ X1921 @ X1920 @ X1919 @ X1917 @ X1918 @ X1915 @ X1916 ) )
& ( ( X1917 @ ( X1918 @ ( X1918 @ ( X1915 @ X1921 @ X1922 ) ) ) )
| ~ ( c_not @ $false )
| ( c_and @ $true @ $true )
| ( epred145_7 @ ( esk214_8 @ X1915 @ X1916 @ X1917 @ X1918 @ X1919 @ X1920 @ X1921 @ X1922 ) @ X1921 @ X1919 @ X1920 @ X1917 @ X1922 @ X1916 )
| ~ ( epred144_8 @ X1922 @ X1921 @ X1920 @ X1919 @ X1917 @ X1918 @ X1915 @ X1916 ) )
& ( ~ ( X1917 @ ( X1918 @ ( X1918 @ ( X1915 @ X1921 @ X1922 ) ) ) )
| ( c_not @ $true )
| ( c_and @ $true @ $false )
| ( epred145_7 @ ( esk214_8 @ X1915 @ X1916 @ X1917 @ X1918 @ X1919 @ X1920 @ X1921 @ X1922 ) @ X1921 @ X1919 @ X1920 @ X1917 @ X1922 @ X1916 )
| ~ ( epred144_8 @ X1922 @ X1921 @ X1920 @ X1919 @ X1917 @ X1918 @ X1915 @ X1916 ) )
& ( ( X1917 @ ( X1918 @ ( X1918 @ ( X1915 @ X1921 @ X1922 ) ) ) )
| ( c_not @ $false )
| ( c_and @ $true @ $false )
| ( epred145_7 @ ( esk214_8 @ X1915 @ X1916 @ X1917 @ X1918 @ X1919 @ X1920 @ X1921 @ X1922 ) @ X1921 @ X1919 @ X1920 @ X1917 @ X1922 @ X1916 )
| ~ ( epred144_8 @ X1922 @ X1921 @ X1920 @ X1919 @ X1917 @ X1918 @ X1915 @ X1916 ) )
& ( ~ ( X1917 @ ( X1918 @ ( X1918 @ ( X1915 @ X1921 @ X1922 ) ) ) )
| ~ ( c_not @ $true )
| ( c_and @ $true @ $true )
| ( X1921 != X1921 )
| ~ ( epred144_8 @ X1922 @ X1921 @ X1920 @ X1919 @ X1917 @ X1918 @ X1915 @ X1916 ) )
& ( ( X1917 @ ( X1918 @ ( X1918 @ ( X1915 @ X1921 @ X1922 ) ) ) )
| ~ ( c_not @ $false )
| ( c_and @ $true @ $true )
| ( X1921 != X1921 )
| ~ ( epred144_8 @ X1922 @ X1921 @ X1920 @ X1919 @ X1917 @ X1918 @ X1915 @ X1916 ) )
& ( ~ ( X1917 @ ( X1918 @ ( X1918 @ ( X1915 @ X1921 @ X1922 ) ) ) )
| ( c_not @ $true )
| ( c_and @ $true @ $false )
| ( X1921 != X1921 )
| ~ ( epred144_8 @ X1922 @ X1921 @ X1920 @ X1919 @ X1917 @ X1918 @ X1915 @ X1916 ) )
& ( ( X1917 @ ( X1918 @ ( X1918 @ ( X1915 @ X1921 @ X1922 ) ) ) )
| ( c_not @ $false )
| ( c_and @ $true @ $false )
| ( X1921 != X1921 )
| ~ ( epred144_8 @ X1922 @ X1921 @ X1920 @ X1919 @ X1917 @ X1918 @ X1915 @ X1916 ) )
& ( ( ( X1927 @ X1928 )
!= X1932 )
| ~ ( epred145_7 @ X1932 @ X1930 @ X1928 @ X1929 @ X1926 @ X1931 @ X1925 )
| ( X1930 = X1930 )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ~ ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( c_not @ $false )
| ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ~ ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ~ ( c_not @ $true )
| ~ ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ~ ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( c_and @ $true @ $false )
| ~ ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( c_not @ $false )
| ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( c_not @ $false )
| ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( c_not @ $false )
| ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ~ ( c_not @ $true )
| ( c_not @ $false )
| ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ( c_not @ $false )
| ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( c_and @ $true @ $false )
| ( c_not @ $false )
| ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ~ ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( c_not @ $true )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( c_not @ $false )
| ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ~ ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( c_not @ $true )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ~ ( c_not @ $true )
| ~ ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( c_not @ $true )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ~ ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( c_not @ $true )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( c_and @ $true @ $false )
| ~ ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( c_not @ $true )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( c_not @ $false )
| ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ~ ( c_not @ $true )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( c_and @ $true @ $false )
| ( c_not @ $false )
| ( c_not @ $true )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ~ ( c_and @ $true @ $true )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( c_not @ $false )
| ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ~ ( c_and @ $true @ $true )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( X1926 @ ( X1927 @ ( X1927 @ ( X1924 @ X1930 @ X1931 ) ) ) )
| ~ ( c_not @ $true )
| ~ ( c_and @ $true @ $true )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true )
| ~ ( c_and @ $true @ $true )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) )
& ( ~ ( c_and @ $true @ $false )
| ~ ( c_and @ $true @ $true )
| ( epred144_8 @ X1931 @ X1930 @ X1929 @ X1928 @ X1926 @ X1927 @ X1924 @ X1925 ) ) ),
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)],[inference(fof_simplification,[status(thm)],[c_0_18])])])])])])])]) ).
thf(c_0_27,plain,
! [X2: $i,X6: $i,X166: $i > $i > $i > $i,X164: $i > $i > $i > $i,X123: $i > $i > $i,X89: $i > $i > $i,X10: $i,X9: $i,X8: $i,X7: $i] :
( ( c_not @ $true )
| ( c_and @ ~ $true @ ~ $true )
| ( ( X164 @ X2 @ ( X89 @ ( X123 @ X6 @ X7 ) @ ( X166 @ X8 @ X9 @ X7 ) ) @ X10 )
!= X6 )
| ~ ( epred128_10 @ X6 @ X164 @ X166 @ X2 @ X123 @ X89 @ X10 @ X8 @ X9 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_28,plain,
! [X5: $o] :
~ ( c_and @ X5 @ ~ $true ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_20])])]) ).
thf(c_0_29,plain,
~ ( c_not @ $true ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]) ).
thf(c_0_30,plain,
! [X2074: $i,X2075: $i > $i > $o] :
( ( ~ ( epred166_1 @ X2075 @ X2074 )
| ( X2075 @ ( c_ap @ X2074 @ c_Empty ) @ ( c_ap @ X2074 @ ( c_ordsucc @ c_Empty ) ) ) )
& ( ~ ( X2075 @ ( c_ap @ X2074 @ c_Empty ) @ ( c_ap @ X2074 @ ( c_ordsucc @ c_Empty ) ) )
| ( epred166_1 @ X2075 @ X2074 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])]) ).
thf(c_0_31,plain,
! [X2: $i] :
( ( esk219_0 @ X2 )
= c_ordsucc ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_32,negated_conjecture,
! [X822: $i > $i > $i,X823: $i > $o,X824: $i > $o,X825: $i > $i,X826: $i,X827: $i,X828: $i,X829: $i,X830: $i] :
( ( ( epred144_8 @ esk54_0 @ esk56_0 @ esk57_0 @ esk58_0 @ epred155_0 @ esk53_0 @ esk52_0 @ epred154_0 )
| ~ ( epred144_8 @ X826 @ X828 @ X829 @ X830 @ X824 @ X825 @ X822 @ X823 )
| ~ ( epred146_8 @ X826 @ X828 @ X829 @ X830 @ X824 @ X825 @ X822 @ X823 )
| ( X827 = X830 ) )
& ( ( epred146_8 @ esk54_0 @ esk56_0 @ esk57_0 @ esk58_0 @ epred155_0 @ esk53_0 @ esk52_0 @ epred154_0 )
| ~ ( epred144_8 @ X826 @ X828 @ X829 @ X830 @ X824 @ X825 @ X822 @ X823 )
| ~ ( epred146_8 @ X826 @ X828 @ X829 @ X830 @ X824 @ X825 @ X822 @ X823 )
| ( X827 = X830 ) )
& ( ( esk55_0 != esk58_0 )
| ~ ( epred144_8 @ X826 @ X828 @ X829 @ X830 @ X824 @ X825 @ X822 @ X823 )
| ~ ( epred146_8 @ X826 @ X828 @ X829 @ X830 @ X824 @ X825 @ X822 @ X823 )
| ( X827 = X830 ) )
& ( ~ ( c_not @ $false )
| ~ ( epred144_8 @ X826 @ X828 @ X829 @ X830 @ X824 @ X825 @ X822 @ X823 )
| ~ ( epred146_8 @ X826 @ X828 @ X829 @ X830 @ X824 @ X825 @ X822 @ X823 )
| ( X827 = X830 ) )
& ( ( epred144_8 @ esk54_0 @ esk56_0 @ esk57_0 @ esk58_0 @ epred155_0 @ esk53_0 @ esk52_0 @ epred154_0 )
| ~ ( c_not @ $true ) )
& ( ( epred146_8 @ esk54_0 @ esk56_0 @ esk57_0 @ esk58_0 @ epred155_0 @ esk53_0 @ esk52_0 @ epred154_0 )
| ~ ( c_not @ $true ) )
& ( ( esk55_0 != esk58_0 )
| ~ ( c_not @ $true ) )
& ( ~ ( c_not @ $false )
| ~ ( c_not @ $true ) ) ),
inference(distribute,[status(thm)],[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_24])])])])])])]) ).
thf(c_0_33,plain,
! [X1: $i > $o,X6: $i,X7: $i,X89: $i > $i > $i,X8: $i,X65: $i > $o,X12: $i > $i,X2: $i] :
( ( epred146_8 @ X6 @ X2 @ X7 @ X8 @ X1 @ X12 @ X89 @ X65 )
| ( X2 != X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
thf(c_0_34,plain,
! [X6: $i,X2: $i,X1: $i > $o,X8: $i,X7: $i,X89: $i > $i > $i,X12: $i > $i,X65: $i > $o] :
( ( X1 @ ( X12 @ ( X12 @ ( X89 @ X2 @ X6 ) ) ) )
| ( epred144_8 @ X6 @ X2 @ X7 @ X8 @ X1 @ X12 @ X89 @ X65 )
| ~ ( c_not @ ~ $true )
| ~ ( c_and @ $true @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_35,plain,
! [X3: $o,X4: $o] :
( ( c_and @ X3 @ X4 )
| ~ ( epred148_2 @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_36,plain,
( ( epred148_2 @ $true @ $true )
| ( c_and @ $true @ $true ) ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_20])])]) ).
thf(c_0_37,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_38,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_39,plain,
! [X2: $i,X6: $i,X166: $i > $i > $i > $i,X164: $i > $i > $i > $i,X123: $i > $i > $i,X89: $i > $i > $i,X10: $i,X9: $i,X8: $i,X7: $i] :
( ( ( X164 @ X2 @ ( X89 @ ( X123 @ X6 @ X7 ) @ ( X166 @ X8 @ X9 @ X7 ) ) @ X10 )
= X6 )
| ( c_and @ ~ $true @ $true )
| ~ ( c_not @ ~ $true )
| ~ ( epred128_10 @ X6 @ X164 @ X166 @ X2 @ X123 @ X89 @ X10 @ X8 @ X9 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_40,plain,
! [X5: $o] :
~ ( c_and @ ~ $true @ X5 ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_20])])]) ).
thf(c_0_41,plain,
! [X2: $i,X6: $i,X166: $i > $i > $i > $i,X164: $i > $i > $i > $i,X123: $i > $i > $i,X89: $i > $i > $i,X10: $i,X9: $i,X8: $i,X7: $i] :
( ( ( X164 @ X2 @ ( X89 @ ( X123 @ X6 @ X7 ) @ ( X166 @ X8 @ X9 @ X7 ) ) @ X10 )
!= X6 )
| ~ ( epred128_10 @ X6 @ X164 @ X166 @ X2 @ X123 @ X89 @ X10 @ X8 @ X9 @ X7 ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
thf(c_0_42,plain,
! [X37: $i > $i > $o,X2: $i] :
( ( X37 @ ( c_ap @ X2 @ c_Empty ) @ ( c_ap @ X2 @ ( c_ordsucc @ c_Empty ) ) )
| ~ ( epred166_1 @ X37 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_43,plain,
! [X2: $i,X6: $i] :
( ( esk219_0 @ X2 @ X6 )
= ( c_ordsucc @ X6 ) ),
inference(arg_cong,[status(thm)],[c_0_31]) ).
thf(c_0_44,negated_conjecture,
! [X6: $i,X2: $i,X1: $i > $o,X8: $i,X7: $i,X9: $i,X89: $i > $i > $i,X12: $i > $i,X65: $i > $o] :
( ( X9 = X8 )
| ~ ( c_not @ ~ $true )
| ~ ( epred144_8 @ X2 @ X6 @ X7 @ X8 @ X1 @ X12 @ X89 @ X65 )
| ~ ( epred146_8 @ X2 @ X6 @ X7 @ X8 @ X1 @ X12 @ X89 @ X65 ) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
thf(c_0_45,plain,
! [X1: $i > $o,X6: $i,X7: $i,X2: $i,X8: $i,X89: $i > $i > $i,X12: $i > $i,X65: $i > $o] : ( epred146_8 @ X6 @ X2 @ X7 @ X8 @ X1 @ X12 @ X89 @ X65 ),
inference(cn,[status(thm)],[c_0_33]) ).
thf(c_0_46,plain,
! [X1: $i > $o,X7: $i,X65: $i > $o,X12: $i > $i,X89: $i > $i > $i,X8: $i,X6: $i,X2: $i] :
( ( epred144_8 @ X2 @ X6 @ X7 @ X8 @ X1 @ X12 @ X89 @ X65 )
| ( X1 @ ( X12 @ ( X12 @ ( X89 @ X6 @ X2 ) ) ) )
| ~ ( c_and @ $true @ $true ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_22])]) ).
thf(c_0_47,plain,
c_and @ $true @ $true,
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
thf(c_0_48,plain,
! [X458: $i] :
( ( ~ ( c_In @ X458 @ 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_37])])])])]) ).
thf(c_0_49,plain,
! [X250: $i,X251: $i] :
( ( c_Subq @ X250 @ X251 )
<=> ! [X9: $i] :
( ( c_In @ X9 @ X250 )
=> ( c_In @ X9 @ X251 ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax17])]) ).
thf(c_0_50,plain,
! [X466: $i,X467: $i] :
( ( ~ ( c_Subq @ X467 @ X466 )
| ( c_iff @ $true @ $true )
| ~ ( c_In @ X467 @ ( c_Power @ X466 ) ) )
& ( ( c_Subq @ X467 @ X466 )
| ( c_iff @ $true @ $false )
| ~ ( c_In @ X467 @ ( c_Power @ X466 ) ) )
& ( ~ ( c_Subq @ X467 @ X466 )
| ( c_iff @ $false @ $true )
| ( c_In @ X467 @ ( c_Power @ X466 ) ) )
& ( ( c_Subq @ X467 @ X466 )
| ( c_iff @ $false @ $false )
| ( c_In @ X467 @ ( c_Power @ X466 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_38])])]) ).
thf(c_0_51,plain,
! [X454: $o,X455: $o] :
( ( ~ X454
| X455
| ~ ( c_iff @ X454 @ X455 ) )
& ( ~ X455
| X454
| ~ ( c_iff @ X454 @ X455 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])]) ).
thf(c_0_52,plain,
! [X2: $i,X6: $i,X7: $i,X8: $i,X9: $i,X166: $i > $i > $i > $i,X164: $i > $i > $i > $i,X123: $i > $i > $i,X89: $i > $i > $i,X10: $i] :
~ ( epred128_10 @ X2 @ X164 @ X166 @ X6 @ X89 @ X123 @ X7 @ X8 @ X9 @ X10 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_22])]),c_0_40]),c_0_41]) ).
thf(c_0_53,plain,
! [X37: $i > $i > $o,X2: $i] :
( ( X37 @ ( c_ap @ X2 @ c_Empty ) @ ( c_ap @ X2 @ ( esk219_0 @ c_Empty @ c_Empty ) ) )
| ~ ( epred166_1 @ X37 @ X2 ) ),
inference(rw,[status(thm)],[c_0_42,c_0_43]) ).
thf(c_0_54,negated_conjecture,
! [X1: $i > $o,X7: $i,X6: $i,X8: $i,X2: $i,X9: $i,X89: $i > $i > $i,X12: $i > $i,X65: $i > $o] :
( ( X2 = X6 )
| ~ ( epred144_8 @ X7 @ X8 @ X9 @ X2 @ X1 @ X12 @ X89 @ X65 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_22]),c_0_45])]) ).
thf(c_0_55,plain,
! [X1: $i > $o,X7: $i,X65: $i > $o,X12: $i > $i,X89: $i > $i > $i,X8: $i,X6: $i,X2: $i] :
( ( epred144_8 @ X2 @ X6 @ X7 @ X8 @ X1 @ X12 @ X89 @ X65 )
| ( X1 @ ( X12 @ ( X12 @ ( X89 @ X6 @ X2 ) ) ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]) ).
thf(c_0_56,plain,
! [X2: $i] :
( ( c_not @ $true )
| ~ ( c_In @ X2 @ c_Empty ) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
thf(c_0_57,plain,
! [X506: $i,X507: $i,X508: $i,X509: $i,X510: $i] :
( ( ~ ( c_Subq @ X506 @ X507 )
| ~ ( c_In @ X508 @ X506 )
| ( c_In @ X508 @ X507 ) )
& ( ( c_In @ ( esk13_2 @ X509 @ X510 ) @ X509 )
| ( c_Subq @ X509 @ X510 ) )
& ( ~ ( c_In @ ( esk13_2 @ X509 @ X510 ) @ X510 )
| ( c_Subq @ X509 @ X510 ) ) ),
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_49])])])])])])]) ).
thf(c_0_58,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_50]) ).
thf(c_0_59,plain,
~ ( c_iff @ ~ $true @ $true ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_51])])]) ).
thf(c_0_60,plain,
! [X2: $i,X6: $i,X7: $i,X8: $i,X166: $i > $i > $i > $i,X164: $i > $i > $i > $i,X123: $i > $i > $i,X89: $i > $i > $i,X9: $i] :
~ ( epred166_1 @ ( epred128_10 @ X2 @ X164 @ X166 @ X6 @ X89 @ X123 @ X7 @ X8 ) @ X9 ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
thf(c_0_61,negated_conjecture,
! [X1: $i > $o,X2: $i,X6: $i,X7: $i,X12: $i > $i,X89: $i > $i > $i,X8: $i] :
( ( X2 = X6 )
| ( X1 @ ( X12 @ ( X12 @ ( X89 @ X7 @ X8 ) ) ) ) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
thf(c_0_62,plain,
! [X2: $i] :
~ ( c_In @ X2 @ c_Empty ),
inference(sr,[status(thm)],[c_0_56,c_0_29]) ).
thf(c_0_63,plain,
! [X2: $i,X6: $i] :
( ( c_In @ ( esk13_2 @ X2 @ X6 ) @ X2 )
| ( c_Subq @ X2 @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
thf(c_0_64,plain,
! [X2: $i,X6: $i] :
( ( c_In @ X2 @ ( c_Power @ X6 ) )
| ~ ( c_Subq @ X2 @ X6 ) ),
inference(sr,[status(thm)],[c_0_58,c_0_59]) ).
thf(c_0_65,plain,
! [X2: $i,X6: $i] : ( X2 = X6 ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
thf(c_0_66,plain,
! [X2: $i] : ( c_Subq @ c_Empty @ X2 ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
thf(c_0_67,plain,
! [X2: $i,X6: $i] :
~ ( c_Subq @ X2 @ X6 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65]),c_0_62]) ).
thf(c_0_68,plain,
$false,
inference(sr,[status(thm)],[c_0_66,c_0_67]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYO879^1 : TPTP v8.2.0. Released v7.5.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 : Mon May 20 08:39:52 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running higher-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 60.26/16.83 # Version: 3.1.0-ho
% 60.26/16.83 # partial match(1): HSLMSMSSSSLCHSA
% 60.26/16.83 # Preprocessing class: HSLMSLSSSSLCHSA.
% 60.26/16.83 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 60.26/16.83 # Starting pre_casc_6 with 1500s (5) cores
% 60.26/16.83 # Starting ehoh_best7 with 300s (1) cores
% 60.26/16.83 # Starting new_bool_8 with 300s (1) cores
% 60.26/16.83 # Starting new_ho_11 with 300s (1) cores
% 60.26/16.83 # new_bool_8 with pid 8761 completed with status 8
% 60.26/16.83 # ehoh_best7 with pid 8760 completed with status 0
% 60.26/16.83 # Result found by ehoh_best7
% 60.26/16.83 # partial match(1): HSLMSMSSSSLCHSA
% 60.26/16.83 # Preprocessing class: HSLMSLSSSSLCHSA.
% 60.26/16.83 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 60.26/16.83 # Starting pre_casc_6 with 1500s (5) cores
% 60.26/16.83 # Starting ehoh_best7 with 300s (1) cores
% 60.26/16.83 # No SInE strategy applied
% 60.26/16.83 # Search class: HGHSM-SMLM33-DHSFFSBC
% 60.26/16.83 # partial match(1): HGHSM-SMLM32-DHSFFSBC
% 60.26/16.83 # Scheduled 6 strats onto 1 cores with 288 seconds (288 total)
% 60.26/16.83 # Starting new_ho_10 with 87s (1) cores
% 60.26/16.83 # new_ho_10 with pid 8795 completed with status 0
% 60.26/16.83 # Result found by new_ho_10
% 60.26/16.83 # partial match(1): HSLMSMSSSSLCHSA
% 60.26/16.83 # Preprocessing class: HSLMSLSSSSLCHSA.
% 60.26/16.83 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 60.26/16.83 # Starting pre_casc_6 with 1500s (5) cores
% 60.26/16.83 # Starting ehoh_best7 with 300s (1) cores
% 60.26/16.83 # No SInE strategy applied
% 60.26/16.83 # Search class: HGHSM-SMLM33-DHSFFSBC
% 60.26/16.83 # partial match(1): HGHSM-SMLM32-DHSFFSBC
% 60.26/16.83 # Scheduled 6 strats onto 1 cores with 288 seconds (288 total)
% 60.26/16.83 # Starting new_ho_10 with 87s (1) cores
% 60.26/16.83 # Preprocessing time : 0.140 s
% 60.26/16.83 # Presaturation interreduction done
% 60.26/16.83
% 60.26/16.83 # Proof found!
% 60.26/16.83 # SZS status Theorem
% 60.26/16.83 # SZS output start CNFRefutation
% See solution above
% 60.26/16.83 # Parsed axioms : 213
% 60.26/16.83 # Removed by relevancy pruning/SinE : 0
% 60.26/16.83 # Initial clauses : 468845
% 60.26/16.83 # Removed in clause preprocessing : 463944
% 60.26/16.83 # Initial clauses in saturation : 4901
% 60.26/16.83 # Processed clauses : 8404
% 60.26/16.83 # ...of these trivial : 375
% 60.26/16.83 # ...subsumed : 4121
% 60.26/16.83 # ...remaining for further processing : 3908
% 60.26/16.83 # Other redundant clauses eliminated : 149
% 60.26/16.83 # Clauses deleted for lack of memory : 0
% 60.26/16.83 # Backward-subsumed : 236
% 60.26/16.83 # Backward-rewritten : 1779
% 60.26/16.83 # Generated clauses : 53244
% 60.26/16.83 # ...of the previous two non-redundant : 53112
% 60.26/16.83 # ...aggressively subsumed : 0
% 60.26/16.83 # Contextual simplify-reflections : 314
% 60.26/16.83 # Paramodulations : 53077
% 60.26/16.83 # Factorizations : 0
% 60.26/16.83 # NegExts : 0
% 60.26/16.83 # Equation resolutions : 149
% 60.26/16.83 # Disequality decompositions : 0
% 60.26/16.83 # Total rewrite steps : 11084
% 60.26/16.83 # ...of those cached : 7533
% 60.26/16.83 # Propositional unsat checks : 0
% 60.26/16.83 # Propositional check models : 0
% 60.26/16.83 # Propositional check unsatisfiable : 0
% 60.26/16.83 # Propositional clauses : 0
% 60.26/16.83 # Propositional clauses after purity: 0
% 60.26/16.83 # Propositional unsat core size : 0
% 60.26/16.83 # Propositional preprocessing time : 0.000
% 60.26/16.83 # Propositional encoding time : 0.000
% 60.26/16.83 # Propositional solver time : 0.000
% 60.26/16.83 # Success case prop preproc time : 0.000
% 60.26/16.83 # Success case prop encoding time : 0.000
% 60.26/16.83 # Success case prop solver time : 0.000
% 60.26/16.83 # Current number of processed clauses : 605
% 60.26/16.83 # Positive orientable unit clauses : 102
% 60.26/16.83 # Positive unorientable unit clauses: 2
% 60.26/16.83 # Negative unit clauses : 83
% 60.26/16.83 # Non-unit-clauses : 418
% 60.26/16.83 # Current number of unprocessed clauses: 50733
% 60.26/16.83 # ...number of literals in the above : 218671
% 60.26/16.83 # Current number of archived formulas : 0
% 60.26/16.83 # Current number of archived clauses : 3241
% 60.26/16.83 # Clause-clause subsumption calls (NU) : 1974202
% 60.26/16.83 # Rec. Clause-clause subsumption calls : 646512
% 60.26/16.83 # Non-unit clause-clause subsumptions : 2000
% 60.26/16.83 # Unit Clause-clause subsumption calls : 101894
% 60.26/16.83 # Rewrite failures with RHS unbound : 0
% 60.26/16.83 # BW rewrite match attempts : 7832
% 60.26/16.83 # BW rewrite match successes : 2565
% 60.26/16.83 # Condensation attempts : 8614
% 60.26/16.83 # Condensation successes : 249
% 60.26/16.83 # Termbank termtop insertions : 21216229
% 60.26/16.83 # Search garbage collected termcells : 2012573
% 60.26/16.83
% 60.26/16.83 # -------------------------------------------------
% 60.26/16.83 # User time : 14.621 s
% 60.26/16.83 # System time : 1.143 s
% 60.26/16.83 # Total time : 15.764 s
% 60.26/16.83 # Maximum resident set size: 1255384 pages
% 60.26/16.83
% 60.26/16.83 # -------------------------------------------------
% 60.26/16.83 # User time : 14.712 s
% 60.26/16.83 # System time : 1.274 s
% 60.26/16.83 # Total time : 15.987 s
% 60.26/16.83 # Maximum resident set size: 2112 pages
% 60.26/16.83 % E---3.1 exiting
% 60.26/16.83 % E exiting
%------------------------------------------------------------------------------