TSTP Solution File: SYO904^12 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO904^12 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.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 08:50:35 EDT 2024
% Result : ContradictoryAxioms 0.62s 0.61s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 87
% Syntax : Number of formulae : 184 ( 31 unt; 69 typ; 0 def)
% Number of atoms : 2542 ( 12 equ; 0 cnn)
% Maximal formula atoms : 1160 ( 22 avg)
% Number of connectives : 9182 (1637 ~;1662 |; 162 &;5485 @)
% ( 3 <=>; 233 =>; 0 <=; 0 <~>)
% Maximal formula depth : 110 ( 23 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 599 ( 599 >; 0 *; 0 +; 0 <<)
% Number of symbols : 71 ( 68 usr; 4 con; 0-27 aty)
% Number of variables : 1047 ( 42 ^ 963 !; 42 ?;1047 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mworld: $tType ).
thf(decl_22,type,
mrel: mworld > mworld > $o ).
thf(decl_23,type,
mactual: mworld ).
thf(decl_24,type,
mlocal: ( mworld > $o ) > $o ).
thf(decl_25,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(decl_26,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(decl_27,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(decl_30,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(decl_31,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(decl_34,type,
v3: mworld > $o ).
thf(decl_36,type,
v5: mworld > $o ).
thf(decl_37,type,
v6: mworld > $o ).
thf(decl_38,type,
v7: mworld > $o ).
thf(decl_39,type,
v8: mworld > $o ).
thf(decl_40,type,
v9: mworld > $o ).
thf(decl_44,type,
v14: mworld > $o ).
thf(decl_45,type,
v13: mworld > $o ).
thf(decl_46,type,
v16: mworld > $o ).
thf(decl_47,type,
v15: mworld > $o ).
thf(decl_48,type,
v18: mworld > $o ).
thf(decl_51,type,
v21: mworld > $o ).
thf(decl_53,type,
v23: mworld > $o ).
thf(decl_54,type,
v22: mworld > $o ).
thf(decl_56,type,
v24: mworld > $o ).
thf(decl_58,type,
v26: mworld > $o ).
thf(decl_59,type,
v28: mworld > $o ).
thf(decl_73,type,
epred14_1: mworld > $o ).
thf(decl_75,type,
epred16_1: mworld > $o ).
thf(decl_89,type,
epred30_1: mworld > $o ).
thf(decl_94,type,
esk1_27: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_95,type,
esk2_26: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_96,type,
esk3_25: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_97,type,
esk4_24: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_98,type,
esk5_23: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_99,type,
esk6_23: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_100,type,
esk7_22: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_101,type,
esk8_22: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_102,type,
esk9_21: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_103,type,
esk10_21: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_104,type,
esk11_20: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_105,type,
esk12_20: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_106,type,
esk13_19: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_107,type,
esk14_18: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_108,type,
esk15_17: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_109,type,
esk16_16: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_110,type,
esk17_15: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_111,type,
esk18_15: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_112,type,
esk19_14: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_113,type,
esk20_14: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_114,type,
esk21_13: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_115,type,
esk22_13: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_116,type,
esk23_12: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_117,type,
esk24_12: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_118,type,
esk25_11: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_119,type,
esk26_10: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_120,type,
esk27_9: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_121,type,
esk28_8: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_122,type,
esk29_7: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_123,type,
esk30_7: mworld > mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_124,type,
esk31_6: mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_125,type,
esk32_6: mworld > mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_126,type,
esk33_5: mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_127,type,
esk34_5: mworld > mworld > mworld > mworld > mworld > mworld ).
thf(decl_128,type,
esk35_4: mworld > mworld > mworld > mworld > mworld ).
thf(decl_129,type,
esk36_4: mworld > mworld > mworld > mworld > mworld ).
thf(decl_130,type,
esk37_3: mworld > mworld > mworld > mworld ).
thf(decl_131,type,
esk38_2: mworld > mworld > mworld ).
thf(decl_132,type,
esk39_1: mworld > mworld ).
thf(decl_133,type,
esk40_0: mworld ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def) ).
thf(mnot_def,axiom,
( mnot
= ( ^ [X2: mworld > $o,X3: mworld] :
~ ( X2 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot_def) ).
thf(mor_def,axiom,
( mor
= ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
( ( X2 @ X3 )
| ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor_def) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [X1: mworld > $o,X3: mworld] :
! [X5: mworld] :
( ( mrel @ X3 @ X5 )
=> ( X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def) ).
thf(mand_def,axiom,
( mand
= ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
( ( X2 @ X3 )
& ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand_def) ).
thf(mdia_def,axiom,
( mdia
= ( ^ [X1: mworld > $o,X3: mworld] :
? [X5: mworld] :
( ( mrel @ X3 @ X5 )
& ( X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia_def) ).
thf(mod22,axiom,
mlocal @ ( mbox @ ( mbox @ ( mbox @ ( mor @ ( mnot @ v26 ) @ ( mbox @ ( mbox @ ( mbox @ ( mor @ v23 @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mor @ v6 @ ( mbox @ ( mbox @ ( mbox @ v3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod22) ).
thf(mod6,axiom,
mlocal @ ( mbox @ ( mor @ ( mnot @ v28 ) @ ( mbox @ ( mbox @ ( mor @ v26 @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mor @ ( mnot @ v16 ) @ ( mbox @ ( mbox @ ( mbox @ ( mnot @ v13 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod6) ).
thf(alt1,axiom,
( mlocal
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mand
@ ( mbox
@ ( mdia
@ ^ [X3: mworld] : $true ) )
@ ( mdia
@ ^ [X3: mworld] : $true ) ) )
@ ( mdia
@ ^ [X3: mworld] : $true ) ) )
@ ( mdia
@ ^ [X3: mworld] : $true ) ) )
@ ( mand @ ( mdia @ v5 ) @ ( mdia @ ( mnot @ v5 ) ) ) ) )
@ ( mand @ ( mdia @ v6 ) @ ( mdia @ ( mnot @ v6 ) ) ) ) )
@ ( mand @ ( mdia @ v7 ) @ ( mdia @ ( mnot @ v7 ) ) ) ) )
@ ( mand @ ( mdia @ v8 ) @ ( mdia @ ( mnot @ v8 ) ) ) ) )
@ ( mdia
@ ^ [X3: mworld] : $true ) ) )
@ ( mdia
@ ^ [X3: mworld] : $true ) ) )
@ ( mdia
@ ^ [X3: mworld] : $true ) ) )
@ ( mdia
@ ^ [X3: mworld] : $true ) ) )
@ ( mand @ ( mdia @ v13 ) @ ( mdia @ ( mnot @ v13 ) ) ) ) )
@ ( mand @ ( mdia @ v14 ) @ ( mdia @ ( mnot @ v14 ) ) ) ) )
@ ( mand @ ( mdia @ v15 ) @ ( mdia @ ( mnot @ v15 ) ) ) ) )
@ ( mand @ ( mdia @ v16 ) @ ( mdia @ ( mnot @ v16 ) ) ) ) )
@ ( mdia
@ ^ [X3: mworld] : $true ) ) )
@ ( mdia
@ ^ [X3: mworld] : $true ) ) )
@ ( mdia
@ ^ [X3: mworld] : $true ) ) )
@ ( mdia
@ ^ [X3: mworld] : $true ) ) )
@ ( mand @ ( mdia @ v21 ) @ ( mdia @ ( mnot @ v21 ) ) ) ) )
@ ( mand @ ( mdia @ v22 ) @ ( mdia @ ( mnot @ v22 ) ) ) ) )
@ ( mand @ ( mdia @ v23 ) @ ( mdia @ ( mnot @ v23 ) ) ) ) )
@ ( mand @ ( mdia @ v24 ) @ ( mdia @ ( mnot @ v24 ) ) ) ) )
@ ( mdia
@ ^ [X3: mworld] : $true ) ) )
@ ( mdia
@ ^ [X3: mworld] : $true ) ) )
@ ( mdia
@ ^ [X3: mworld] : $true ) ) )
@ ( mdia
@ ^ [X3: mworld] : $true ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',alt1) ).
thf(mrel_universal,axiom,
! [X3: mworld,X5: mworld] : ( mrel @ X3 @ X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_universal) ).
thf(mod45,axiom,
mlocal @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mor @ v16 @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mor @ ( mnot @ v9 ) @ ( mbox @ ( mbox @ ( mbox @ ( mor @ ( mnot @ v6 ) @ ( mbox @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod45) ).
thf(mod2,axiom,
mlocal @ ( mbox @ ( mor @ v28 @ ( mbox @ ( mbox @ ( mor @ v26 @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mor @ ( mnot @ v21 ) @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ v14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod2) ).
thf(mod4,axiom,
mlocal @ ( mbox @ ( mor @ v28 @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mor @ ( mnot @ v15 ) @ ( mbox @ ( mor @ v14 @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ v9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod4) ).
thf(mod8,axiom,
mlocal @ ( mbox @ ( mor @ ( mnot @ v28 ) @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mor @ ( mnot @ v24 ) @ ( mbox @ ( mbox @ ( mor @ v22 @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ v18 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod8) ).
thf(mod24,axiom,
mlocal @ ( mbox @ ( mbox @ ( mbox @ ( mor @ ( mnot @ v26 ) @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mor @ ( mnot @ v18 ) @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mbox @ ( mor @ ( mnot @ v7 ) @ ( mbox @ ( mnot @ v6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mod24) ).
thf(c_0_15,plain,
! [X483: mworld] :
( ( epred14_1 @ X483 )
<=> ! [X482: mworld] :
( ( mrel @ X483 @ X482 )
=> ! [X481: mworld] :
( ( mrel @ X482 @ X481 )
=> ( ( v23 @ X481 )
| ! [X480: mworld] :
( ( mrel @ X481 @ X480 )
=> ! [X479: mworld] :
( ( mrel @ X480 @ X479 )
=> ! [X478: mworld] :
( ( mrel @ X479 @ X478 )
=> ! [X477: mworld] :
( ( mrel @ X478 @ X477 )
=> ! [X476: mworld] :
( ( mrel @ X477 @ X476 )
=> ! [X475: mworld] :
( ( mrel @ X476 @ X475 )
=> ! [X474: mworld] :
( ( mrel @ X475 @ X474 )
=> ! [X473: mworld] :
( ( mrel @ X474 @ X473 )
=> ! [X472: mworld] :
( ( mrel @ X473 @ X472 )
=> ! [X471: mworld] :
( ( mrel @ X472 @ X471 )
=> ! [X470: mworld] :
( ( mrel @ X471 @ X470 )
=> ! [X469: mworld] :
( ( mrel @ X470 @ X469 )
=> ! [X468: mworld] :
( ( mrel @ X469 @ X468 )
=> ! [X467: mworld] :
( ( mrel @ X468 @ X467 )
=> ! [X466: mworld] :
( ( mrel @ X467 @ X466 )
=> ! [X465: mworld] :
( ( mrel @ X466 @ X465 )
=> ! [X464: mworld] :
( ( mrel @ X465 @ X464 )
=> ( ( v6 @ X464 )
| ! [X463: mworld] :
( ( mrel @ X464 @ X463 )
=> ! [X462: mworld] :
( ( mrel @ X463 @ X462 )
=> ! [X461: mworld] :
( ( mrel @ X462 @ X461 )
=> ( v3 @ X461 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_16,plain,
( mlocal
= ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
inference(fof_simplification,[status(thm)],[mlocal_def]) ).
thf(c_0_17,plain,
( mnot
= ( ^ [Z0: mworld > $o,Z1: mworld] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot_def]) ).
thf(c_0_18,plain,
( mor
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor_def]) ).
thf(c_0_19,plain,
( mbox
= ( ^ [Z0: mworld > $o,Z1: mworld] :
! [X5: mworld] :
( ( mrel @ Z1 @ X5 )
=> ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_def]) ).
thf(c_0_20,plain,
( mand
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
& ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mand_def]) ).
thf(c_0_21,plain,
( mdia
= ( ^ [Z0: mworld > $o,Z1: mworld] :
? [X5: mworld] :
( ( mrel @ Z1 @ X5 )
& ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mdia_def]) ).
thf(c_0_22,plain,
! [X483: mworld] :
( ( epred14_1 @ X483 )
=> ! [X482: mworld] :
( ( mrel @ X483 @ X482 )
=> ! [X481: mworld] :
( ( mrel @ X482 @ X481 )
=> ( ( v23 @ X481 )
| ! [X480: mworld] :
( ( mrel @ X481 @ X480 )
=> ! [X479: mworld] :
( ( mrel @ X480 @ X479 )
=> ! [X478: mworld] :
( ( mrel @ X479 @ X478 )
=> ! [X477: mworld] :
( ( mrel @ X478 @ X477 )
=> ! [X476: mworld] :
( ( mrel @ X477 @ X476 )
=> ! [X475: mworld] :
( ( mrel @ X476 @ X475 )
=> ! [X474: mworld] :
( ( mrel @ X475 @ X474 )
=> ! [X473: mworld] :
( ( mrel @ X474 @ X473 )
=> ! [X472: mworld] :
( ( mrel @ X473 @ X472 )
=> ! [X471: mworld] :
( ( mrel @ X472 @ X471 )
=> ! [X470: mworld] :
( ( mrel @ X471 @ X470 )
=> ! [X469: mworld] :
( ( mrel @ X470 @ X469 )
=> ! [X468: mworld] :
( ( mrel @ X469 @ X468 )
=> ! [X467: mworld] :
( ( mrel @ X468 @ X467 )
=> ! [X466: mworld] :
( ( mrel @ X467 @ X466 )
=> ! [X465: mworld] :
( ( mrel @ X466 @ X465 )
=> ! [X464: mworld] :
( ( mrel @ X465 @ X464 )
=> ( ( v6 @ X464 )
| ! [X463: mworld] :
( ( mrel @ X464 @ X463 )
=> ! [X462: mworld] :
( ( mrel @ X463 @ X462 )
=> ! [X461: mworld] :
( ( mrel @ X462 @ X461 )
=> ( v3 @ X461 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_15]) ).
thf(c_0_23,plain,
! [X486: mworld] :
( ( mrel @ mactual @ X486 )
=> ! [X485: mworld] :
( ( mrel @ X486 @ X485 )
=> ! [X484: mworld] :
( ( mrel @ X485 @ X484 )
=> ( ~ ( v26 @ X484 )
| ! [X483: mworld] :
( ( mrel @ X484 @ X483 )
=> ( epred14_1 @ X483 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[mod22,c_0_16]),c_0_17]),c_0_18]),c_0_19])]),c_0_15]) ).
thf(c_0_24,plain,
! [X120: mworld] :
( ( mrel @ mactual @ X120 )
=> ( ~ ( v28 @ X120 )
| ! [X119: mworld] :
( ( mrel @ X120 @ X119 )
=> ! [X118: mworld] :
( ( mrel @ X119 @ X118 )
=> ( ( v26 @ X118 )
| ! [X117: mworld] :
( ( mrel @ X118 @ X117 )
=> ! [X116: mworld] :
( ( mrel @ X117 @ X116 )
=> ! [X115: mworld] :
( ( mrel @ X116 @ X115 )
=> ! [X114: mworld] :
( ( mrel @ X115 @ X114 )
=> ! [X113: mworld] :
( ( mrel @ X114 @ X113 )
=> ! [X112: mworld] :
( ( mrel @ X113 @ X112 )
=> ! [X111: mworld] :
( ( mrel @ X112 @ X111 )
=> ! [X110: mworld] :
( ( mrel @ X111 @ X110 )
=> ! [X109: mworld] :
( ( mrel @ X110 @ X109 )
=> ! [X108: mworld] :
( ( mrel @ X109 @ X108 )
=> ( ~ ( v16 @ X108 )
| ! [X107: mworld] :
( ( mrel @ X108 @ X107 )
=> ! [X106: mworld] :
( ( mrel @ X107 @ X106 )
=> ! [X105: mworld] :
( ( mrel @ X106 @ X105 )
=> ~ ( v13 @ X105 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[mod6,c_0_16]),c_0_17]),c_0_18]),c_0_19])]) ).
thf(c_0_25,plain,
( ! [X1215: mworld] :
( ( mrel @ mactual @ X1215 )
=> ( ! [X1213: mworld] :
( ( mrel @ X1215 @ X1213 )
=> ( ! [X1211: mworld] :
( ( mrel @ X1213 @ X1211 )
=> ( ! [X1209: mworld] :
( ( mrel @ X1211 @ X1209 )
=> ( ! [X1206: mworld] :
( ( mrel @ X1209 @ X1206 )
=> ( ! [X1203: mworld] :
( ( mrel @ X1206 @ X1203 )
=> ( ! [X1200: mworld] :
( ( mrel @ X1203 @ X1200 )
=> ( ! [X1197: mworld] :
( ( mrel @ X1200 @ X1197 )
=> ( ! [X1195: mworld] :
( ( mrel @ X1197 @ X1195 )
=> ( ! [X1193: mworld] :
( ( mrel @ X1195 @ X1193 )
=> ( ! [X1191: mworld] :
( ( mrel @ X1193 @ X1191 )
=> ( ! [X1189: mworld] :
( ( mrel @ X1191 @ X1189 )
=> ( ! [X1186: mworld] :
( ( mrel @ X1189 @ X1186 )
=> ( ! [X1183: mworld] :
( ( mrel @ X1186 @ X1183 )
=> ( ! [X1180: mworld] :
( ( mrel @ X1183 @ X1180 )
=> ( ! [X1177: mworld] :
( ( mrel @ X1180 @ X1177 )
=> ( ! [X1175: mworld] :
( ( mrel @ X1177 @ X1175 )
=> ( ! [X1173: mworld] :
( ( mrel @ X1175 @ X1173 )
=> ( ! [X1171: mworld] :
( ( mrel @ X1173 @ X1171 )
=> ( ! [X1169: mworld] :
( ( mrel @ X1171 @ X1169 )
=> ( ! [X1166: mworld] :
( ( mrel @ X1169 @ X1166 )
=> ( ! [X1163: mworld] :
( ( mrel @ X1166 @ X1163 )
=> ( ! [X1160: mworld] :
( ( mrel @ X1163 @ X1160 )
=> ( ! [X1157: mworld] :
( ( mrel @ X1160 @ X1157 )
=> ( ! [X1155: mworld] :
( ( mrel @ X1157 @ X1155 )
=> ( ! [X1153: mworld] :
( ( mrel @ X1155 @ X1153 )
=> ( ! [X1151: mworld] :
( ( mrel @ X1153 @ X1151 )
=> ? [X1150: mworld] :
( ( mrel @ X1151 @ X1150 )
& $true ) )
& ? [X1152: mworld] :
( ( mrel @ X1153 @ X1152 )
& $true ) ) )
& ? [X1154: mworld] :
( ( mrel @ X1155 @ X1154 )
& $true ) ) )
& ? [X1156: mworld] :
( ( mrel @ X1157 @ X1156 )
& $true ) ) )
& ? [X1158: mworld] :
( ( mrel @ X1160 @ X1158 )
& ( v5 @ X1158 ) )
& ? [X1159: mworld] :
( ( mrel @ X1160 @ X1159 )
& ~ ( v5 @ X1159 ) ) ) )
& ? [X1161: mworld] :
( ( mrel @ X1163 @ X1161 )
& ( v6 @ X1161 ) )
& ? [X1162: mworld] :
( ( mrel @ X1163 @ X1162 )
& ~ ( v6 @ X1162 ) ) ) )
& ? [X1164: mworld] :
( ( mrel @ X1166 @ X1164 )
& ( v7 @ X1164 ) )
& ? [X1165: mworld] :
( ( mrel @ X1166 @ X1165 )
& ~ ( v7 @ X1165 ) ) ) )
& ? [X1167: mworld] :
( ( mrel @ X1169 @ X1167 )
& ( v8 @ X1167 ) )
& ? [X1168: mworld] :
( ( mrel @ X1169 @ X1168 )
& ~ ( v8 @ X1168 ) ) ) )
& ? [X1170: mworld] :
( ( mrel @ X1171 @ X1170 )
& $true ) ) )
& ? [X1172: mworld] :
( ( mrel @ X1173 @ X1172 )
& $true ) ) )
& ? [X1174: mworld] :
( ( mrel @ X1175 @ X1174 )
& $true ) ) )
& ? [X1176: mworld] :
( ( mrel @ X1177 @ X1176 )
& $true ) ) )
& ? [X1178: mworld] :
( ( mrel @ X1180 @ X1178 )
& ( v13 @ X1178 ) )
& ? [X1179: mworld] :
( ( mrel @ X1180 @ X1179 )
& ~ ( v13 @ X1179 ) ) ) )
& ? [X1181: mworld] :
( ( mrel @ X1183 @ X1181 )
& ( v14 @ X1181 ) )
& ? [X1182: mworld] :
( ( mrel @ X1183 @ X1182 )
& ~ ( v14 @ X1182 ) ) ) )
& ? [X1184: mworld] :
( ( mrel @ X1186 @ X1184 )
& ( v15 @ X1184 ) )
& ? [X1185: mworld] :
( ( mrel @ X1186 @ X1185 )
& ~ ( v15 @ X1185 ) ) ) )
& ? [X1187: mworld] :
( ( mrel @ X1189 @ X1187 )
& ( v16 @ X1187 ) )
& ? [X1188: mworld] :
( ( mrel @ X1189 @ X1188 )
& ~ ( v16 @ X1188 ) ) ) )
& ? [X1190: mworld] :
( ( mrel @ X1191 @ X1190 )
& $true ) ) )
& ? [X1192: mworld] :
( ( mrel @ X1193 @ X1192 )
& $true ) ) )
& ? [X1194: mworld] :
( ( mrel @ X1195 @ X1194 )
& $true ) ) )
& ? [X1196: mworld] :
( ( mrel @ X1197 @ X1196 )
& $true ) ) )
& ? [X1198: mworld] :
( ( mrel @ X1200 @ X1198 )
& ( v21 @ X1198 ) )
& ? [X1199: mworld] :
( ( mrel @ X1200 @ X1199 )
& ~ ( v21 @ X1199 ) ) ) )
& ? [X1201: mworld] :
( ( mrel @ X1203 @ X1201 )
& ( v22 @ X1201 ) )
& ? [X1202: mworld] :
( ( mrel @ X1203 @ X1202 )
& ~ ( v22 @ X1202 ) ) ) )
& ? [X1204: mworld] :
( ( mrel @ X1206 @ X1204 )
& ( v23 @ X1204 ) )
& ? [X1205: mworld] :
( ( mrel @ X1206 @ X1205 )
& ~ ( v23 @ X1205 ) ) ) )
& ? [X1207: mworld] :
( ( mrel @ X1209 @ X1207 )
& ( v24 @ X1207 ) )
& ? [X1208: mworld] :
( ( mrel @ X1209 @ X1208 )
& ~ ( v24 @ X1208 ) ) ) )
& ? [X1210: mworld] :
( ( mrel @ X1211 @ X1210 )
& $true ) ) )
& ? [X1212: mworld] :
( ( mrel @ X1213 @ X1212 )
& $true ) ) )
& ? [X1214: mworld] :
( ( mrel @ X1215 @ X1214 )
& $true ) ) )
& ? [X1216: mworld] :
( ( mrel @ mactual @ X1216 )
& $true ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[alt1]),c_0_16]),c_0_17]),c_0_20]),c_0_19]),c_0_21])]) ).
thf(c_0_26,plain,
! [X1018: mworld] :
( ( epred30_1 @ X1018 )
<=> ! [X1017: mworld] :
( ( mrel @ X1018 @ X1017 )
=> ! [X1016: mworld] :
( ( mrel @ X1017 @ X1016 )
=> ! [X1015: mworld] :
( ( mrel @ X1016 @ X1015 )
=> ! [X1014: mworld] :
( ( mrel @ X1015 @ X1014 )
=> ! [X1013: mworld] :
( ( mrel @ X1014 @ X1013 )
=> ! [X1012: mworld] :
( ( mrel @ X1013 @ X1012 )
=> ! [X1011: mworld] :
( ( mrel @ X1012 @ X1011 )
=> ! [X1010: mworld] :
( ( mrel @ X1011 @ X1010 )
=> ( ( v16 @ X1010 )
| ! [X1009: mworld] :
( ( mrel @ X1010 @ X1009 )
=> ! [X1008: mworld] :
( ( mrel @ X1009 @ X1008 )
=> ! [X1007: mworld] :
( ( mrel @ X1008 @ X1007 )
=> ! [X1006: mworld] :
( ( mrel @ X1007 @ X1006 )
=> ! [X1005: mworld] :
( ( mrel @ X1006 @ X1005 )
=> ! [X1004: mworld] :
( ( mrel @ X1005 @ X1004 )
=> ! [X1003: mworld] :
( ( mrel @ X1004 @ X1003 )
=> ( ~ ( v9 @ X1003 )
| ! [X1002: mworld] :
( ( mrel @ X1003 @ X1002 )
=> ! [X1001: mworld] :
( ( mrel @ X1002 @ X1001 )
=> ! [X1000: mworld] :
( ( mrel @ X1001 @ X1000 )
=> ( ~ ( v6 @ X1000 )
| ! [X999: mworld] :
( ( mrel @ X1000 @ X999 )
=> ! [X998: mworld] :
( ( mrel @ X999 @ X998 )
=> ! [X997: mworld] :
( ( mrel @ X998 @ X997 )
=> ~ ( v3 @ X997 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_27,plain,
! [X1997: mworld,X1998: mworld,X1999: mworld,X2000: mworld,X2001: mworld,X2002: mworld,X2003: mworld,X2004: mworld,X2005: mworld,X2006: mworld,X2007: mworld,X2008: mworld,X2009: mworld,X2010: mworld,X2011: mworld,X2012: mworld,X2013: mworld,X2014: mworld,X2015: mworld,X2016: mworld,X2017: mworld,X2018: mworld,X2019: mworld] :
( ~ ( epred14_1 @ X1997 )
| ~ ( mrel @ X1997 @ X1998 )
| ~ ( mrel @ X1998 @ X1999 )
| ( v23 @ X1999 )
| ~ ( mrel @ X1999 @ X2000 )
| ~ ( mrel @ X2000 @ X2001 )
| ~ ( mrel @ X2001 @ X2002 )
| ~ ( mrel @ X2002 @ X2003 )
| ~ ( mrel @ X2003 @ X2004 )
| ~ ( mrel @ X2004 @ X2005 )
| ~ ( mrel @ X2005 @ X2006 )
| ~ ( mrel @ X2006 @ X2007 )
| ~ ( mrel @ X2007 @ X2008 )
| ~ ( mrel @ X2008 @ X2009 )
| ~ ( mrel @ X2009 @ X2010 )
| ~ ( mrel @ X2010 @ X2011 )
| ~ ( mrel @ X2011 @ X2012 )
| ~ ( mrel @ X2012 @ X2013 )
| ~ ( mrel @ X2013 @ X2014 )
| ~ ( mrel @ X2014 @ X2015 )
| ~ ( mrel @ X2015 @ X2016 )
| ( v6 @ X2016 )
| ~ ( mrel @ X2016 @ X2017 )
| ~ ( mrel @ X2017 @ X2018 )
| ~ ( mrel @ X2018 @ X2019 )
| ( v3 @ X2019 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).
thf(c_0_28,plain,
! [X1217: mworld,X1218: mworld] : ( mrel @ X1217 @ X1218 ),
inference(variable_rename,[status(thm)],[mrel_universal]) ).
thf(c_0_29,plain,
! [X1389: mworld,X1390: mworld,X1391: mworld,X1392: mworld] :
( ~ ( mrel @ mactual @ X1389 )
| ~ ( mrel @ X1389 @ X1390 )
| ~ ( mrel @ X1390 @ X1391 )
| ~ ( v26 @ X1391 )
| ~ ( mrel @ X1391 @ X1392 )
| ( epred14_1 @ X1392 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
thf(c_0_30,plain,
! [X1294: mworld,X1295: mworld,X1296: mworld,X1297: mworld,X1298: mworld,X1299: mworld,X1300: mworld,X1301: mworld,X1302: mworld,X1303: mworld,X1304: mworld,X1305: mworld,X1306: mworld,X1307: mworld,X1308: mworld,X1309: mworld] :
( ~ ( mrel @ mactual @ X1294 )
| ~ ( v28 @ X1294 )
| ~ ( mrel @ X1294 @ X1295 )
| ~ ( mrel @ X1295 @ X1296 )
| ( v26 @ X1296 )
| ~ ( mrel @ X1296 @ X1297 )
| ~ ( mrel @ X1297 @ X1298 )
| ~ ( mrel @ X1298 @ X1299 )
| ~ ( mrel @ X1299 @ X1300 )
| ~ ( mrel @ X1300 @ X1301 )
| ~ ( mrel @ X1301 @ X1302 )
| ~ ( mrel @ X1302 @ X1303 )
| ~ ( mrel @ X1303 @ X1304 )
| ~ ( mrel @ X1304 @ X1305 )
| ~ ( mrel @ X1305 @ X1306 )
| ~ ( v16 @ X1306 )
| ~ ( mrel @ X1306 @ X1307 )
| ~ ( mrel @ X1307 @ X1308 )
| ~ ( mrel @ X1308 @ X1309 )
| ~ ( v13 @ X1309 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
thf(c_0_31,plain,
! [X1634: mworld,X1635: mworld,X1636: mworld,X1637: mworld,X1638: mworld,X1639: mworld,X1640: mworld,X1641: mworld,X1642: mworld,X1643: mworld,X1644: mworld,X1645: mworld,X1646: mworld,X1647: mworld,X1648: mworld,X1649: mworld,X1650: mworld,X1651: mworld,X1652: mworld,X1653: mworld,X1654: mworld,X1655: mworld,X1656: mworld,X1657: mworld,X1658: mworld,X1659: mworld,X1660: mworld] :
( ( ( mrel @ X1660 @ ( esk1_27 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 @ X1653 @ X1654 @ X1655 @ X1656 @ X1657 @ X1658 @ X1659 @ X1660 ) )
| ~ ( mrel @ X1659 @ X1660 )
| ~ ( mrel @ X1658 @ X1659 )
| ~ ( mrel @ X1657 @ X1658 )
| ~ ( mrel @ X1656 @ X1657 )
| ~ ( mrel @ X1655 @ X1656 )
| ~ ( mrel @ X1654 @ X1655 )
| ~ ( mrel @ X1653 @ X1654 )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( $true
| ~ ( mrel @ X1659 @ X1660 )
| ~ ( mrel @ X1658 @ X1659 )
| ~ ( mrel @ X1657 @ X1658 )
| ~ ( mrel @ X1656 @ X1657 )
| ~ ( mrel @ X1655 @ X1656 )
| ~ ( mrel @ X1654 @ X1655 )
| ~ ( mrel @ X1653 @ X1654 )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1659 @ ( esk2_26 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 @ X1653 @ X1654 @ X1655 @ X1656 @ X1657 @ X1658 @ X1659 ) )
| ~ ( mrel @ X1658 @ X1659 )
| ~ ( mrel @ X1657 @ X1658 )
| ~ ( mrel @ X1656 @ X1657 )
| ~ ( mrel @ X1655 @ X1656 )
| ~ ( mrel @ X1654 @ X1655 )
| ~ ( mrel @ X1653 @ X1654 )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( $true
| ~ ( mrel @ X1658 @ X1659 )
| ~ ( mrel @ X1657 @ X1658 )
| ~ ( mrel @ X1656 @ X1657 )
| ~ ( mrel @ X1655 @ X1656 )
| ~ ( mrel @ X1654 @ X1655 )
| ~ ( mrel @ X1653 @ X1654 )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1658 @ ( esk3_25 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 @ X1653 @ X1654 @ X1655 @ X1656 @ X1657 @ X1658 ) )
| ~ ( mrel @ X1657 @ X1658 )
| ~ ( mrel @ X1656 @ X1657 )
| ~ ( mrel @ X1655 @ X1656 )
| ~ ( mrel @ X1654 @ X1655 )
| ~ ( mrel @ X1653 @ X1654 )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( $true
| ~ ( mrel @ X1657 @ X1658 )
| ~ ( mrel @ X1656 @ X1657 )
| ~ ( mrel @ X1655 @ X1656 )
| ~ ( mrel @ X1654 @ X1655 )
| ~ ( mrel @ X1653 @ X1654 )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1657 @ ( esk4_24 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 @ X1653 @ X1654 @ X1655 @ X1656 @ X1657 ) )
| ~ ( mrel @ X1656 @ X1657 )
| ~ ( mrel @ X1655 @ X1656 )
| ~ ( mrel @ X1654 @ X1655 )
| ~ ( mrel @ X1653 @ X1654 )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( $true
| ~ ( mrel @ X1656 @ X1657 )
| ~ ( mrel @ X1655 @ X1656 )
| ~ ( mrel @ X1654 @ X1655 )
| ~ ( mrel @ X1653 @ X1654 )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1656 @ ( esk5_23 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 @ X1653 @ X1654 @ X1655 @ X1656 ) )
| ~ ( mrel @ X1655 @ X1656 )
| ~ ( mrel @ X1654 @ X1655 )
| ~ ( mrel @ X1653 @ X1654 )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( v5 @ ( esk5_23 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 @ X1653 @ X1654 @ X1655 @ X1656 ) )
| ~ ( mrel @ X1655 @ X1656 )
| ~ ( mrel @ X1654 @ X1655 )
| ~ ( mrel @ X1653 @ X1654 )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1656 @ ( esk6_23 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 @ X1653 @ X1654 @ X1655 @ X1656 ) )
| ~ ( mrel @ X1655 @ X1656 )
| ~ ( mrel @ X1654 @ X1655 )
| ~ ( mrel @ X1653 @ X1654 )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ~ ( v5 @ ( esk6_23 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 @ X1653 @ X1654 @ X1655 @ X1656 ) )
| ~ ( mrel @ X1655 @ X1656 )
| ~ ( mrel @ X1654 @ X1655 )
| ~ ( mrel @ X1653 @ X1654 )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1655 @ ( esk7_22 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 @ X1653 @ X1654 @ X1655 ) )
| ~ ( mrel @ X1654 @ X1655 )
| ~ ( mrel @ X1653 @ X1654 )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( v6 @ ( esk7_22 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 @ X1653 @ X1654 @ X1655 ) )
| ~ ( mrel @ X1654 @ X1655 )
| ~ ( mrel @ X1653 @ X1654 )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1655 @ ( esk8_22 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 @ X1653 @ X1654 @ X1655 ) )
| ~ ( mrel @ X1654 @ X1655 )
| ~ ( mrel @ X1653 @ X1654 )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ~ ( v6 @ ( esk8_22 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 @ X1653 @ X1654 @ X1655 ) )
| ~ ( mrel @ X1654 @ X1655 )
| ~ ( mrel @ X1653 @ X1654 )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1654 @ ( esk9_21 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 @ X1653 @ X1654 ) )
| ~ ( mrel @ X1653 @ X1654 )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( v7 @ ( esk9_21 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 @ X1653 @ X1654 ) )
| ~ ( mrel @ X1653 @ X1654 )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1654 @ ( esk10_21 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 @ X1653 @ X1654 ) )
| ~ ( mrel @ X1653 @ X1654 )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ~ ( v7 @ ( esk10_21 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 @ X1653 @ X1654 ) )
| ~ ( mrel @ X1653 @ X1654 )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1653 @ ( esk11_20 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 @ X1653 ) )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( v8 @ ( esk11_20 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 @ X1653 ) )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1653 @ ( esk12_20 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 @ X1653 ) )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ~ ( v8 @ ( esk12_20 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 @ X1653 ) )
| ~ ( mrel @ X1652 @ X1653 )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1652 @ ( esk13_19 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 @ X1652 ) )
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( $true
| ~ ( mrel @ X1651 @ X1652 )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1651 @ ( esk14_18 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 @ X1651 ) )
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( $true
| ~ ( mrel @ X1650 @ X1651 )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1650 @ ( esk15_17 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 @ X1650 ) )
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( $true
| ~ ( mrel @ X1649 @ X1650 )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1649 @ ( esk16_16 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 @ X1649 ) )
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( $true
| ~ ( mrel @ X1648 @ X1649 )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1648 @ ( esk17_15 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 ) )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( v13 @ ( esk17_15 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 ) )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1648 @ ( esk18_15 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 ) )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ~ ( v13 @ ( esk18_15 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 @ X1648 ) )
| ~ ( mrel @ X1647 @ X1648 )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1647 @ ( esk19_14 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 ) )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( v14 @ ( esk19_14 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 ) )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1647 @ ( esk20_14 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 ) )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ~ ( v14 @ ( esk20_14 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 @ X1647 ) )
| ~ ( mrel @ X1646 @ X1647 )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1646 @ ( esk21_13 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 ) )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( v15 @ ( esk21_13 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 ) )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1646 @ ( esk22_13 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 ) )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ~ ( v15 @ ( esk22_13 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 @ X1646 ) )
| ~ ( mrel @ X1645 @ X1646 )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1645 @ ( esk23_12 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 ) )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( v16 @ ( esk23_12 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 ) )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1645 @ ( esk24_12 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 ) )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ~ ( v16 @ ( esk24_12 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 @ X1645 ) )
| ~ ( mrel @ X1644 @ X1645 )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1644 @ ( esk25_11 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 @ X1644 ) )
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( $true
| ~ ( mrel @ X1643 @ X1644 )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1643 @ ( esk26_10 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 @ X1643 ) )
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( $true
| ~ ( mrel @ X1642 @ X1643 )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1642 @ ( esk27_9 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 @ X1642 ) )
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( $true
| ~ ( mrel @ X1641 @ X1642 )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1641 @ ( esk28_8 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 @ X1641 ) )
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( $true
| ~ ( mrel @ X1640 @ X1641 )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1640 @ ( esk29_7 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 ) )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( v21 @ ( esk29_7 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 ) )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1640 @ ( esk30_7 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 ) )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ~ ( v21 @ ( esk30_7 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 @ X1640 ) )
| ~ ( mrel @ X1639 @ X1640 )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1639 @ ( esk31_6 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 ) )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( v22 @ ( esk31_6 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 ) )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1639 @ ( esk32_6 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 ) )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ~ ( v22 @ ( esk32_6 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 @ X1639 ) )
| ~ ( mrel @ X1638 @ X1639 )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1638 @ ( esk33_5 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 ) )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( v23 @ ( esk33_5 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 ) )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1638 @ ( esk34_5 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 ) )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ~ ( v23 @ ( esk34_5 @ X1634 @ X1635 @ X1636 @ X1637 @ X1638 ) )
| ~ ( mrel @ X1637 @ X1638 )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1637 @ ( esk35_4 @ X1634 @ X1635 @ X1636 @ X1637 ) )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( v24 @ ( esk35_4 @ X1634 @ X1635 @ X1636 @ X1637 ) )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1637 @ ( esk36_4 @ X1634 @ X1635 @ X1636 @ X1637 ) )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ~ ( v24 @ ( esk36_4 @ X1634 @ X1635 @ X1636 @ X1637 ) )
| ~ ( mrel @ X1636 @ X1637 )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1636 @ ( esk37_3 @ X1634 @ X1635 @ X1636 ) )
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( $true
| ~ ( mrel @ X1635 @ X1636 )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1635 @ ( esk38_2 @ X1634 @ X1635 ) )
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( $true
| ~ ( mrel @ X1634 @ X1635 )
| ~ ( mrel @ mactual @ X1634 ) )
& ( ( mrel @ X1634 @ ( esk39_1 @ X1634 ) )
| ~ ( mrel @ mactual @ X1634 ) )
& ( $true
| ~ ( mrel @ mactual @ X1634 ) )
& ( mrel @ mactual @ esk40_0 )
& $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(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])])])]) ).
thf(c_0_32,plain,
! [X1022: mworld] :
( ( mrel @ mactual @ X1022 )
=> ! [X1021: mworld] :
( ( mrel @ X1022 @ X1021 )
=> ! [X1020: mworld] :
( ( mrel @ X1021 @ X1020 )
=> ! [X1019: mworld] :
( ( mrel @ X1020 @ X1019 )
=> ! [X1018: mworld] :
( ( mrel @ X1019 @ X1018 )
=> ( epred30_1 @ X1018 ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[mod45,c_0_16]),c_0_17]),c_0_18]),c_0_19])]),c_0_26]) ).
thf(c_0_33,plain,
! [X43: mworld] :
( ( mrel @ mactual @ X43 )
=> ( ( v28 @ X43 )
| ! [X42: mworld] :
( ( mrel @ X43 @ X42 )
=> ! [X41: mworld] :
( ( mrel @ X42 @ X41 )
=> ( ( v26 @ X41 )
| ! [X40: mworld] :
( ( mrel @ X41 @ X40 )
=> ! [X39: mworld] :
( ( mrel @ X40 @ X39 )
=> ! [X38: mworld] :
( ( mrel @ X39 @ X38 )
=> ! [X37: mworld] :
( ( mrel @ X38 @ X37 )
=> ! [X36: mworld] :
( ( mrel @ X37 @ X36 )
=> ( ~ ( v21 @ X36 )
| ! [X35: mworld] :
( ( mrel @ X36 @ X35 )
=> ! [X34: mworld] :
( ( mrel @ X35 @ X34 )
=> ! [X33: mworld] :
( ( mrel @ X34 @ X33 )
=> ! [X32: mworld] :
( ( mrel @ X33 @ X32 )
=> ! [X31: mworld] :
( ( mrel @ X32 @ X31 )
=> ! [X30: mworld] :
( ( mrel @ X31 @ X30 )
=> ! [X29: mworld] :
( ( mrel @ X30 @ X29 )
=> ( v14 @ X29 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[mod2,c_0_16]),c_0_17]),c_0_18]),c_0_19])]) ).
thf(c_0_34,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld,X9: mworld,X10: mworld,X11: mworld,X12: mworld,X13: mworld,X14: mworld,X15: mworld,X16: mworld,X17: mworld,X18: mworld,X19: mworld,X20: mworld,X21: mworld,X22: mworld,X23: mworld,X24: mworld,X25: mworld,X26: mworld] :
( ( v23 @ X6 )
| ( v6 @ X23 )
| ( v3 @ X26 )
| ~ ( epred14_1 @ X3 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( mrel @ X7 @ X8 )
| ~ ( mrel @ X8 @ X9 )
| ~ ( mrel @ X9 @ X10 )
| ~ ( mrel @ X10 @ X11 )
| ~ ( mrel @ X11 @ X12 )
| ~ ( mrel @ X12 @ X13 )
| ~ ( mrel @ X13 @ X14 )
| ~ ( mrel @ X14 @ X15 )
| ~ ( mrel @ X15 @ X16 )
| ~ ( mrel @ X16 @ X17 )
| ~ ( mrel @ X17 @ X18 )
| ~ ( mrel @ X18 @ X19 )
| ~ ( mrel @ X19 @ X20 )
| ~ ( mrel @ X20 @ X21 )
| ~ ( mrel @ X21 @ X22 )
| ~ ( mrel @ X22 @ X23 )
| ~ ( mrel @ X23 @ X24 )
| ~ ( mrel @ X24 @ X25 )
| ~ ( mrel @ X25 @ X26 ) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
thf(c_0_35,plain,
! [X3: mworld,X5: mworld] : ( mrel @ X3 @ X5 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_36,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld] :
( ( epred14_1 @ X7 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( v26 @ X6 )
| ~ ( mrel @ X6 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_37,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld,X9: mworld,X10: mworld,X11: mworld,X12: mworld,X13: mworld,X14: mworld,X15: mworld,X16: mworld,X17: mworld,X18: mworld,X19: mworld] :
( ( v26 @ X6 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( v28 @ X3 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( mrel @ X7 @ X8 )
| ~ ( mrel @ X8 @ X9 )
| ~ ( mrel @ X9 @ X10 )
| ~ ( mrel @ X10 @ X11 )
| ~ ( mrel @ X11 @ X12 )
| ~ ( mrel @ X12 @ X13 )
| ~ ( mrel @ X13 @ X14 )
| ~ ( mrel @ X14 @ X15 )
| ~ ( mrel @ X15 @ X16 )
| ~ ( v16 @ X16 )
| ~ ( mrel @ X16 @ X17 )
| ~ ( mrel @ X17 @ X18 )
| ~ ( mrel @ X18 @ X19 )
| ~ ( v13 @ X19 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_38,plain,
! [X15: mworld,X14: mworld,X13: mworld,X12: mworld,X11: mworld,X10: mworld,X9: mworld,X8: mworld,X7: mworld,X6: mworld,X5: mworld,X3: mworld] :
( ( v16 @ ( esk23_12 @ X3 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
| ~ ( mrel @ X14 @ X15 )
| ~ ( mrel @ X13 @ X14 )
| ~ ( mrel @ X12 @ X13 )
| ~ ( mrel @ X11 @ X12 )
| ~ ( mrel @ X10 @ X11 )
| ~ ( mrel @ X9 @ X10 )
| ~ ( mrel @ X8 @ X9 )
| ~ ( mrel @ X7 @ X8 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_39,plain,
! [X1018: mworld] :
( ( epred30_1 @ X1018 )
=> ! [X1017: mworld] :
( ( mrel @ X1018 @ X1017 )
=> ! [X1016: mworld] :
( ( mrel @ X1017 @ X1016 )
=> ! [X1015: mworld] :
( ( mrel @ X1016 @ X1015 )
=> ! [X1014: mworld] :
( ( mrel @ X1015 @ X1014 )
=> ! [X1013: mworld] :
( ( mrel @ X1014 @ X1013 )
=> ! [X1012: mworld] :
( ( mrel @ X1013 @ X1012 )
=> ! [X1011: mworld] :
( ( mrel @ X1012 @ X1011 )
=> ! [X1010: mworld] :
( ( mrel @ X1011 @ X1010 )
=> ( ( v16 @ X1010 )
| ! [X1009: mworld] :
( ( mrel @ X1010 @ X1009 )
=> ! [X1008: mworld] :
( ( mrel @ X1009 @ X1008 )
=> ! [X1007: mworld] :
( ( mrel @ X1008 @ X1007 )
=> ! [X1006: mworld] :
( ( mrel @ X1007 @ X1006 )
=> ! [X1005: mworld] :
( ( mrel @ X1006 @ X1005 )
=> ! [X1004: mworld] :
( ( mrel @ X1005 @ X1004 )
=> ! [X1003: mworld] :
( ( mrel @ X1004 @ X1003 )
=> ( ~ ( v9 @ X1003 )
| ! [X1002: mworld] :
( ( mrel @ X1003 @ X1002 )
=> ! [X1001: mworld] :
( ( mrel @ X1002 @ X1001 )
=> ! [X1000: mworld] :
( ( mrel @ X1001 @ X1000 )
=> ( ~ ( v6 @ X1000 )
| ! [X999: mworld] :
( ( mrel @ X1000 @ X999 )
=> ! [X998: mworld] :
( ( mrel @ X999 @ X998 )
=> ! [X997: mworld] :
( ( mrel @ X998 @ X997 )
=> ~ ( v3 @ X997 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_26]) ).
thf(c_0_40,plain,
! [X1586: mworld,X1587: mworld,X1588: mworld,X1589: mworld,X1590: mworld] :
( ~ ( mrel @ mactual @ X1586 )
| ~ ( mrel @ X1586 @ X1587 )
| ~ ( mrel @ X1587 @ X1588 )
| ~ ( mrel @ X1588 @ X1589 )
| ~ ( mrel @ X1589 @ X1590 )
| ( epred30_1 @ X1590 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).
thf(c_0_41,plain,
! [X1240: mworld,X1241: mworld,X1242: mworld,X1243: mworld,X1244: mworld,X1245: mworld,X1246: mworld,X1247: mworld,X1248: mworld,X1249: mworld,X1250: mworld,X1251: mworld,X1252: mworld,X1253: mworld,X1254: mworld] :
( ~ ( mrel @ mactual @ X1240 )
| ( v28 @ X1240 )
| ~ ( mrel @ X1240 @ X1241 )
| ~ ( mrel @ X1241 @ X1242 )
| ( v26 @ X1242 )
| ~ ( mrel @ X1242 @ X1243 )
| ~ ( mrel @ X1243 @ X1244 )
| ~ ( mrel @ X1244 @ X1245 )
| ~ ( mrel @ X1245 @ X1246 )
| ~ ( mrel @ X1246 @ X1247 )
| ~ ( v21 @ X1247 )
| ~ ( mrel @ X1247 @ X1248 )
| ~ ( mrel @ X1248 @ X1249 )
| ~ ( mrel @ X1249 @ X1250 )
| ~ ( mrel @ X1250 @ X1251 )
| ~ ( mrel @ X1251 @ X1252 )
| ~ ( mrel @ X1252 @ X1253 )
| ~ ( mrel @ X1253 @ X1254 )
| ( v14 @ X1254 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
thf(c_0_42,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld] :
( ( v23 @ X3 )
| ( v6 @ X5 )
| ( v3 @ X6 )
| ~ ( epred14_1 @ X7 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_43,plain,
! [X3: mworld,X5: mworld] :
( ( epred14_1 @ X3 )
| ~ ( v26 @ X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_44,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld] :
( ( v26 @ X3 )
| ~ ( v13 @ X5 )
| ~ ( v16 @ X6 )
| ~ ( v28 @ X7 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_45,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld,X9: mworld,X10: mworld,X11: mworld,X12: mworld,X13: mworld,X14: mworld,X15: mworld] : ( v16 @ ( esk23_12 @ X3 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_46,plain,
! [X2352: mworld,X2353: mworld,X2354: mworld,X2355: mworld,X2356: mworld,X2357: mworld,X2358: mworld,X2359: mworld,X2360: mworld,X2361: mworld,X2362: mworld,X2363: mworld,X2364: mworld,X2365: mworld,X2366: mworld,X2367: mworld,X2368: mworld,X2369: mworld,X2370: mworld,X2371: mworld,X2372: mworld,X2373: mworld] :
( ~ ( epred30_1 @ X2352 )
| ~ ( mrel @ X2352 @ X2353 )
| ~ ( mrel @ X2353 @ X2354 )
| ~ ( mrel @ X2354 @ X2355 )
| ~ ( mrel @ X2355 @ X2356 )
| ~ ( mrel @ X2356 @ X2357 )
| ~ ( mrel @ X2357 @ X2358 )
| ~ ( mrel @ X2358 @ X2359 )
| ~ ( mrel @ X2359 @ X2360 )
| ( v16 @ X2360 )
| ~ ( mrel @ X2360 @ X2361 )
| ~ ( mrel @ X2361 @ X2362 )
| ~ ( mrel @ X2362 @ X2363 )
| ~ ( mrel @ X2363 @ X2364 )
| ~ ( mrel @ X2364 @ X2365 )
| ~ ( mrel @ X2365 @ X2366 )
| ~ ( mrel @ X2366 @ X2367 )
| ~ ( v9 @ X2367 )
| ~ ( mrel @ X2367 @ X2368 )
| ~ ( mrel @ X2368 @ X2369 )
| ~ ( mrel @ X2369 @ X2370 )
| ~ ( v6 @ X2370 )
| ~ ( mrel @ X2370 @ X2371 )
| ~ ( mrel @ X2371 @ X2372 )
| ~ ( mrel @ X2372 @ X2373 )
| ~ ( v3 @ X2373 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).
thf(c_0_47,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld] :
( ( epred30_1 @ X8 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( mrel @ X7 @ X8 ) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
thf(c_0_48,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld,X9: mworld,X10: mworld,X11: mworld,X12: mworld,X13: mworld,X14: mworld,X15: mworld,X16: mworld,X17: mworld,X18: mworld] :
( ( v28 @ X3 )
| ( v26 @ X6 )
| ( v14 @ X18 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( mrel @ X7 @ X8 )
| ~ ( mrel @ X8 @ X9 )
| ~ ( mrel @ X9 @ X10 )
| ~ ( mrel @ X10 @ X11 )
| ~ ( v21 @ X11 )
| ~ ( mrel @ X11 @ X12 )
| ~ ( mrel @ X12 @ X13 )
| ~ ( mrel @ X13 @ X14 )
| ~ ( mrel @ X14 @ X15 )
| ~ ( mrel @ X15 @ X16 )
| ~ ( mrel @ X16 @ X17 )
| ~ ( mrel @ X17 @ X18 ) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_49,plain,
! [X10: mworld,X9: mworld,X8: mworld,X7: mworld,X6: mworld,X5: mworld,X3: mworld] :
( ( v21 @ ( esk29_7 @ X3 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) )
| ~ ( mrel @ X9 @ X10 )
| ~ ( mrel @ X8 @ X9 )
| ~ ( mrel @ X7 @ X8 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_50,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld] :
( ( v23 @ X3 )
| ( v6 @ X5 )
| ( v3 @ X6 )
| ~ ( v26 @ X7 ) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
thf(c_0_51,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( v26 @ X3 )
| ~ ( v13 @ X5 )
| ~ ( v28 @ X6 ) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
thf(c_0_52,plain,
! [X18: mworld,X17: mworld,X16: mworld,X15: mworld,X14: mworld,X13: mworld,X12: mworld,X11: mworld,X10: mworld,X9: mworld,X8: mworld,X7: mworld,X6: mworld,X5: mworld,X3: mworld] :
( ( v13 @ ( esk17_15 @ X3 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 ) )
| ~ ( mrel @ X17 @ X18 )
| ~ ( mrel @ X16 @ X17 )
| ~ ( mrel @ X15 @ X16 )
| ~ ( mrel @ X14 @ X15 )
| ~ ( mrel @ X13 @ X14 )
| ~ ( mrel @ X12 @ X13 )
| ~ ( mrel @ X11 @ X12 )
| ~ ( mrel @ X10 @ X11 )
| ~ ( mrel @ X9 @ X10 )
| ~ ( mrel @ X8 @ X9 )
| ~ ( mrel @ X7 @ X8 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_53,plain,
! [X15: mworld,X14: mworld,X13: mworld,X12: mworld,X11: mworld,X10: mworld,X9: mworld,X8: mworld,X7: mworld,X6: mworld,X5: mworld,X3: mworld] :
( ~ ( v16 @ ( esk24_12 @ X3 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) )
| ~ ( mrel @ X14 @ X15 )
| ~ ( mrel @ X13 @ X14 )
| ~ ( mrel @ X12 @ X13 )
| ~ ( mrel @ X11 @ X12 )
| ~ ( mrel @ X10 @ X11 )
| ~ ( mrel @ X9 @ X10 )
| ~ ( mrel @ X8 @ X9 )
| ~ ( mrel @ X7 @ X8 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_54,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld,X9: mworld,X10: mworld,X11: mworld,X12: mworld,X13: mworld,X14: mworld,X15: mworld,X16: mworld,X17: mworld,X18: mworld,X19: mworld,X20: mworld,X21: mworld,X22: mworld,X23: mworld,X24: mworld,X25: mworld] :
( ( v16 @ X12 )
| ~ ( epred30_1 @ X3 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( mrel @ X7 @ X8 )
| ~ ( mrel @ X8 @ X9 )
| ~ ( mrel @ X9 @ X10 )
| ~ ( mrel @ X10 @ X11 )
| ~ ( mrel @ X11 @ X12 )
| ~ ( mrel @ X12 @ X13 )
| ~ ( mrel @ X13 @ X14 )
| ~ ( mrel @ X14 @ X15 )
| ~ ( mrel @ X15 @ X16 )
| ~ ( mrel @ X16 @ X17 )
| ~ ( mrel @ X17 @ X18 )
| ~ ( mrel @ X18 @ X19 )
| ~ ( v9 @ X19 )
| ~ ( mrel @ X19 @ X20 )
| ~ ( mrel @ X20 @ X21 )
| ~ ( mrel @ X21 @ X22 )
| ~ ( v6 @ X22 )
| ~ ( mrel @ X22 @ X23 )
| ~ ( mrel @ X23 @ X24 )
| ~ ( mrel @ X24 @ X25 )
| ~ ( v3 @ X25 ) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
thf(c_0_55,plain,
! [X3: mworld] : ( epred30_1 @ X3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_56,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld] :
( ( v28 @ X3 )
| ( v26 @ X5 )
| ( v14 @ X6 )
| ~ ( v21 @ X7 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_57,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld,X9: mworld,X10: mworld] : ( v21 @ ( esk29_7 @ X3 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_58,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld] :
( ( v3 @ X3 )
| ( v6 @ X5 )
| ( v23 @ X6 )
| ~ ( v13 @ X7 )
| ~ ( v28 @ X8 ) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
thf(c_0_59,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld,X9: mworld,X10: mworld,X11: mworld,X12: mworld,X13: mworld,X14: mworld,X15: mworld,X16: mworld,X17: mworld,X18: mworld] : ( v13 @ ( esk17_15 @ X3 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_60,plain,
! [X80: mworld] :
( ( mrel @ mactual @ X80 )
=> ( ( v28 @ X80 )
| ! [X79: mworld] :
( ( mrel @ X80 @ X79 )
=> ! [X78: mworld] :
( ( mrel @ X79 @ X78 )
=> ! [X77: mworld] :
( ( mrel @ X78 @ X77 )
=> ! [X76: mworld] :
( ( mrel @ X77 @ X76 )
=> ! [X75: mworld] :
( ( mrel @ X76 @ X75 )
=> ! [X74: mworld] :
( ( mrel @ X75 @ X74 )
=> ! [X73: mworld] :
( ( mrel @ X74 @ X73 )
=> ! [X72: mworld] :
( ( mrel @ X73 @ X72 )
=> ! [X71: mworld] :
( ( mrel @ X72 @ X71 )
=> ! [X70: mworld] :
( ( mrel @ X71 @ X70 )
=> ! [X69: mworld] :
( ( mrel @ X70 @ X69 )
=> ! [X68: mworld] :
( ( mrel @ X69 @ X68 )
=> ! [X67: mworld] :
( ( mrel @ X68 @ X67 )
=> ( ~ ( v15 @ X67 )
| ! [X66: mworld] :
( ( mrel @ X67 @ X66 )
=> ( ( v14 @ X66 )
| ! [X65: mworld] :
( ( mrel @ X66 @ X65 )
=> ! [X64: mworld] :
( ( mrel @ X65 @ X64 )
=> ! [X63: mworld] :
( ( mrel @ X64 @ X63 )
=> ! [X62: mworld] :
( ( mrel @ X63 @ X62 )
=> ! [X61: mworld] :
( ( mrel @ X62 @ X61 )
=> ( v9 @ X61 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[mod4,c_0_16]),c_0_17]),c_0_18]),c_0_19])]) ).
thf(c_0_61,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld,X9: mworld,X10: mworld,X11: mworld,X12: mworld,X13: mworld,X14: mworld,X15: mworld] :
~ ( v16 @ ( esk24_12 @ X3 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_62,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld] :
( ( v16 @ X3 )
| ~ ( v3 @ X5 )
| ~ ( v6 @ X6 )
| ~ ( v9 @ X7 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_63,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( v28 @ X3 )
| ( v26 @ X5 )
| ( v14 @ X6 ) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
thf(c_0_64,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld] :
( ( v23 @ X3 )
| ( v6 @ X5 )
| ( v3 @ X6 )
| ~ ( v28 @ X7 ) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
thf(c_0_65,plain,
! [X1272: mworld,X1273: mworld,X1274: mworld,X1275: mworld,X1276: mworld,X1277: mworld,X1278: mworld,X1279: mworld,X1280: mworld,X1281: mworld,X1282: mworld,X1283: mworld,X1284: mworld,X1285: mworld,X1286: mworld,X1287: mworld,X1288: mworld,X1289: mworld,X1290: mworld,X1291: mworld] :
( ~ ( mrel @ mactual @ X1272 )
| ( v28 @ X1272 )
| ~ ( mrel @ X1272 @ X1273 )
| ~ ( mrel @ X1273 @ X1274 )
| ~ ( mrel @ X1274 @ X1275 )
| ~ ( mrel @ X1275 @ X1276 )
| ~ ( mrel @ X1276 @ X1277 )
| ~ ( mrel @ X1277 @ X1278 )
| ~ ( mrel @ X1278 @ X1279 )
| ~ ( mrel @ X1279 @ X1280 )
| ~ ( mrel @ X1280 @ X1281 )
| ~ ( mrel @ X1281 @ X1282 )
| ~ ( mrel @ X1282 @ X1283 )
| ~ ( mrel @ X1283 @ X1284 )
| ~ ( mrel @ X1284 @ X1285 )
| ~ ( v15 @ X1285 )
| ~ ( mrel @ X1285 @ X1286 )
| ( v14 @ X1286 )
| ~ ( mrel @ X1286 @ X1287 )
| ~ ( mrel @ X1287 @ X1288 )
| ~ ( mrel @ X1288 @ X1289 )
| ~ ( mrel @ X1289 @ X1290 )
| ~ ( mrel @ X1290 @ X1291 )
| ( v9 @ X1291 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])]) ).
thf(c_0_66,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ~ ( v3 @ X3 )
| ~ ( v6 @ X5 )
| ~ ( v9 @ X6 ) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
thf(c_0_67,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld] :
( ( v14 @ X3 )
| ( v3 @ X5 )
| ( v6 @ X6 )
| ( v23 @ X7 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_63]),c_0_64]) ).
thf(c_0_68,plain,
! [X25: mworld,X24: mworld,X23: mworld,X22: mworld,X21: mworld,X20: mworld,X19: mworld,X18: mworld,X17: mworld,X16: mworld,X15: mworld,X14: mworld,X13: mworld,X12: mworld,X11: mworld,X10: mworld,X9: mworld,X8: mworld,X7: mworld,X6: mworld,X5: mworld,X3: mworld] :
( ( v6 @ ( esk7_22 @ X3 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 ) )
| ~ ( mrel @ X24 @ X25 )
| ~ ( mrel @ X23 @ X24 )
| ~ ( mrel @ X22 @ X23 )
| ~ ( mrel @ X21 @ X22 )
| ~ ( mrel @ X20 @ X21 )
| ~ ( mrel @ X19 @ X20 )
| ~ ( mrel @ X18 @ X19 )
| ~ ( mrel @ X17 @ X18 )
| ~ ( mrel @ X16 @ X17 )
| ~ ( mrel @ X15 @ X16 )
| ~ ( mrel @ X14 @ X15 )
| ~ ( mrel @ X13 @ X14 )
| ~ ( mrel @ X12 @ X13 )
| ~ ( mrel @ X11 @ X12 )
| ~ ( mrel @ X10 @ X11 )
| ~ ( mrel @ X9 @ X10 )
| ~ ( mrel @ X8 @ X9 )
| ~ ( mrel @ X7 @ X8 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_69,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld,X9: mworld,X10: mworld,X11: mworld,X12: mworld,X13: mworld,X14: mworld,X15: mworld,X16: mworld,X17: mworld,X18: mworld,X19: mworld,X20: mworld,X21: mworld,X22: mworld,X23: mworld] :
( ( v28 @ X3 )
| ( v14 @ X18 )
| ( v9 @ X23 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( mrel @ X7 @ X8 )
| ~ ( mrel @ X8 @ X9 )
| ~ ( mrel @ X9 @ X10 )
| ~ ( mrel @ X10 @ X11 )
| ~ ( mrel @ X11 @ X12 )
| ~ ( mrel @ X12 @ X13 )
| ~ ( mrel @ X13 @ X14 )
| ~ ( mrel @ X14 @ X15 )
| ~ ( mrel @ X15 @ X16 )
| ~ ( mrel @ X16 @ X17 )
| ~ ( v15 @ X17 )
| ~ ( mrel @ X17 @ X18 )
| ~ ( mrel @ X18 @ X19 )
| ~ ( mrel @ X19 @ X20 )
| ~ ( mrel @ X20 @ X21 )
| ~ ( mrel @ X21 @ X22 )
| ~ ( mrel @ X22 @ X23 ) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
thf(c_0_70,plain,
! [X16: mworld,X15: mworld,X14: mworld,X13: mworld,X12: mworld,X11: mworld,X10: mworld,X9: mworld,X8: mworld,X7: mworld,X6: mworld,X5: mworld,X3: mworld] :
( ( v15 @ ( esk21_13 @ X3 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) )
| ~ ( mrel @ X15 @ X16 )
| ~ ( mrel @ X14 @ X15 )
| ~ ( mrel @ X13 @ X14 )
| ~ ( mrel @ X12 @ X13 )
| ~ ( mrel @ X11 @ X12 )
| ~ ( mrel @ X10 @ X11 )
| ~ ( mrel @ X9 @ X10 )
| ~ ( mrel @ X8 @ X9 )
| ~ ( mrel @ X7 @ X8 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_71,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld] :
( ( v23 @ X3 )
| ( v6 @ X5 )
| ( v14 @ X6 )
| ~ ( v6 @ X7 )
| ~ ( v9 @ X8 ) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
thf(c_0_72,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld,X9: mworld,X10: mworld,X11: mworld,X12: mworld,X13: mworld,X14: mworld,X15: mworld,X16: mworld,X17: mworld,X18: mworld,X19: mworld,X20: mworld,X21: mworld,X22: mworld,X23: mworld,X24: mworld,X25: mworld] : ( v6 @ ( esk7_22 @ X3 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_73,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld] :
( ( v28 @ X3 )
| ( v14 @ X5 )
| ( v9 @ X6 )
| ~ ( v15 @ X7 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_74,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld,X9: mworld,X10: mworld,X11: mworld,X12: mworld,X13: mworld,X14: mworld,X15: mworld,X16: mworld] : ( v15 @ ( esk21_13 @ X3 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_75,plain,
! [X531: mworld] :
( ( epred16_1 @ X531 )
<=> ! [X530: mworld] :
( ( mrel @ X531 @ X530 )
=> ( ~ ( v26 @ X530 )
| ! [X529: mworld] :
( ( mrel @ X530 @ X529 )
=> ! [X528: mworld] :
( ( mrel @ X529 @ X528 )
=> ! [X527: mworld] :
( ( mrel @ X528 @ X527 )
=> ! [X526: mworld] :
( ( mrel @ X527 @ X526 )
=> ! [X525: mworld] :
( ( mrel @ X526 @ X525 )
=> ! [X524: mworld] :
( ( mrel @ X525 @ X524 )
=> ! [X523: mworld] :
( ( mrel @ X524 @ X523 )
=> ! [X522: mworld] :
( ( mrel @ X523 @ X522 )
=> ( ~ ( v18 @ X522 )
| ! [X521: mworld] :
( ( mrel @ X522 @ X521 )
=> ! [X520: mworld] :
( ( mrel @ X521 @ X520 )
=> ! [X519: mworld] :
( ( mrel @ X520 @ X519 )
=> ! [X518: mworld] :
( ( mrel @ X519 @ X518 )
=> ! [X517: mworld] :
( ( mrel @ X518 @ X517 )
=> ! [X516: mworld] :
( ( mrel @ X517 @ X516 )
=> ! [X515: mworld] :
( ( mrel @ X516 @ X515 )
=> ! [X514: mworld] :
( ( mrel @ X515 @ X514 )
=> ! [X513: mworld] :
( ( mrel @ X514 @ X513 )
=> ! [X512: mworld] :
( ( mrel @ X513 @ X512 )
=> ! [X511: mworld] :
( ( mrel @ X512 @ X511 )
=> ( ~ ( v7 @ X511 )
| ! [X510: mworld] :
( ( mrel @ X511 @ X510 )
=> ~ ( v6 @ X510 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_76,plain,
! [X155: mworld] :
( ( mrel @ mactual @ X155 )
=> ( ~ ( v28 @ X155 )
| ! [X154: mworld] :
( ( mrel @ X155 @ X154 )
=> ! [X153: mworld] :
( ( mrel @ X154 @ X153 )
=> ! [X152: mworld] :
( ( mrel @ X153 @ X152 )
=> ! [X151: mworld] :
( ( mrel @ X152 @ X151 )
=> ( ~ ( v24 @ X151 )
| ! [X150: mworld] :
( ( mrel @ X151 @ X150 )
=> ! [X149: mworld] :
( ( mrel @ X150 @ X149 )
=> ( ( v22 @ X149 )
| ! [X148: mworld] :
( ( mrel @ X149 @ X148 )
=> ! [X147: mworld] :
( ( mrel @ X148 @ X147 )
=> ! [X146: mworld] :
( ( mrel @ X147 @ X146 )
=> ! [X145: mworld] :
( ( mrel @ X146 @ X145 )
=> ( v18 @ X145 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[mod8,c_0_16]),c_0_17]),c_0_18]),c_0_19])]) ).
thf(c_0_77,plain,
! [X8: mworld,X7: mworld,X6: mworld,X5: mworld,X3: mworld] :
( ~ ( v23 @ ( esk34_5 @ X3 @ X5 @ X6 @ X7 @ X8 ) )
| ~ ( mrel @ X7 @ X8 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_78,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld] :
( ( v14 @ X3 )
| ( v6 @ X5 )
| ( v23 @ X6 )
| ~ ( v9 @ X7 ) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
thf(c_0_79,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( v28 @ X3 )
| ( v14 @ X5 )
| ( v9 @ X6 ) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
thf(c_0_80,plain,
! [X532: mworld] :
( ( mrel @ mactual @ X532 )
=> ! [X531: mworld] :
( ( mrel @ X532 @ X531 )
=> ( epred16_1 @ X531 ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[mod24,c_0_16]),c_0_17]),c_0_18]),c_0_19])]),c_0_75]) ).
thf(c_0_81,plain,
! [X1312: mworld,X1313: mworld,X1314: mworld,X1315: mworld,X1316: mworld,X1317: mworld,X1318: mworld,X1319: mworld,X1320: mworld,X1321: mworld,X1322: mworld] :
( ~ ( mrel @ mactual @ X1312 )
| ~ ( v28 @ X1312 )
| ~ ( mrel @ X1312 @ X1313 )
| ~ ( mrel @ X1313 @ X1314 )
| ~ ( mrel @ X1314 @ X1315 )
| ~ ( mrel @ X1315 @ X1316 )
| ~ ( v24 @ X1316 )
| ~ ( mrel @ X1316 @ X1317 )
| ~ ( mrel @ X1317 @ X1318 )
| ( v22 @ X1318 )
| ~ ( mrel @ X1318 @ X1319 )
| ~ ( mrel @ X1319 @ X1320 )
| ~ ( mrel @ X1320 @ X1321 )
| ~ ( mrel @ X1321 @ X1322 )
| ( v18 @ X1322 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])])]) ).
thf(c_0_82,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld] :
~ ( v23 @ ( esk34_5 @ X3 @ X5 @ X6 @ X7 @ X8 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_83,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld] :
( ( v14 @ X3 )
| ( v28 @ X5 )
| ( v23 @ X6 )
| ( v6 @ X7 )
| ( v14 @ X8 ) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
thf(c_0_84,plain,
! [X531: mworld] :
( ( epred16_1 @ X531 )
=> ! [X530: mworld] :
( ( mrel @ X531 @ X530 )
=> ( ~ ( v26 @ X530 )
| ! [X529: mworld] :
( ( mrel @ X530 @ X529 )
=> ! [X528: mworld] :
( ( mrel @ X529 @ X528 )
=> ! [X527: mworld] :
( ( mrel @ X528 @ X527 )
=> ! [X526: mworld] :
( ( mrel @ X527 @ X526 )
=> ! [X525: mworld] :
( ( mrel @ X526 @ X525 )
=> ! [X524: mworld] :
( ( mrel @ X525 @ X524 )
=> ! [X523: mworld] :
( ( mrel @ X524 @ X523 )
=> ! [X522: mworld] :
( ( mrel @ X523 @ X522 )
=> ( ~ ( v18 @ X522 )
| ! [X521: mworld] :
( ( mrel @ X522 @ X521 )
=> ! [X520: mworld] :
( ( mrel @ X521 @ X520 )
=> ! [X519: mworld] :
( ( mrel @ X520 @ X519 )
=> ! [X518: mworld] :
( ( mrel @ X519 @ X518 )
=> ! [X517: mworld] :
( ( mrel @ X518 @ X517 )
=> ! [X516: mworld] :
( ( mrel @ X517 @ X516 )
=> ! [X515: mworld] :
( ( mrel @ X516 @ X515 )
=> ! [X514: mworld] :
( ( mrel @ X515 @ X514 )
=> ! [X513: mworld] :
( ( mrel @ X514 @ X513 )
=> ! [X512: mworld] :
( ( mrel @ X513 @ X512 )
=> ! [X511: mworld] :
( ( mrel @ X512 @ X511 )
=> ( ~ ( v7 @ X511 )
| ! [X510: mworld] :
( ( mrel @ X511 @ X510 )
=> ~ ( v6 @ X510 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_75]) ).
thf(c_0_85,plain,
! [X1395: mworld,X1396: mworld] :
( ~ ( mrel @ mactual @ X1395 )
| ~ ( mrel @ X1395 @ X1396 )
| ( epred16_1 @ X1396 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])])])]) ).
thf(c_0_86,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld,X9: mworld,X10: mworld,X11: mworld,X12: mworld,X13: mworld,X14: mworld] :
( ( v22 @ X10 )
| ( v18 @ X14 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( v28 @ X3 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( mrel @ X7 @ X8 )
| ~ ( v24 @ X8 )
| ~ ( mrel @ X8 @ X9 )
| ~ ( mrel @ X9 @ X10 )
| ~ ( mrel @ X10 @ X11 )
| ~ ( mrel @ X11 @ X12 )
| ~ ( mrel @ X12 @ X13 )
| ~ ( mrel @ X13 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
thf(c_0_87,plain,
! [X7: mworld,X6: mworld,X5: mworld,X3: mworld] :
( ( v24 @ ( esk35_4 @ X3 @ X5 @ X6 @ X7 ) )
| ~ ( mrel @ X6 @ X7 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_88,plain,
! [X17: mworld,X16: mworld,X15: mworld,X14: mworld,X13: mworld,X12: mworld,X11: mworld,X10: mworld,X9: mworld,X8: mworld,X7: mworld,X6: mworld,X5: mworld,X3: mworld] :
( ~ ( v14 @ ( esk20_14 @ X3 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) )
| ~ ( mrel @ X16 @ X17 )
| ~ ( mrel @ X15 @ X16 )
| ~ ( mrel @ X14 @ X15 )
| ~ ( mrel @ X13 @ X14 )
| ~ ( mrel @ X12 @ X13 )
| ~ ( mrel @ X11 @ X12 )
| ~ ( mrel @ X10 @ X11 )
| ~ ( mrel @ X9 @ X10 )
| ~ ( mrel @ X8 @ X9 )
| ~ ( mrel @ X7 @ X8 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_89,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld] :
( ( v14 @ X3 )
| ( v6 @ X5 )
| ( v28 @ X6 )
| ( v14 @ X7 ) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
thf(c_0_90,plain,
! [X2042: mworld,X2043: mworld,X2044: mworld,X2045: mworld,X2046: mworld,X2047: mworld,X2048: mworld,X2049: mworld,X2050: mworld,X2051: mworld,X2052: mworld,X2053: mworld,X2054: mworld,X2055: mworld,X2056: mworld,X2057: mworld,X2058: mworld,X2059: mworld,X2060: mworld,X2061: mworld,X2062: mworld,X2063: mworld] :
( ~ ( epred16_1 @ X2042 )
| ~ ( mrel @ X2042 @ X2043 )
| ~ ( v26 @ X2043 )
| ~ ( mrel @ X2043 @ X2044 )
| ~ ( mrel @ X2044 @ X2045 )
| ~ ( mrel @ X2045 @ X2046 )
| ~ ( mrel @ X2046 @ X2047 )
| ~ ( mrel @ X2047 @ X2048 )
| ~ ( mrel @ X2048 @ X2049 )
| ~ ( mrel @ X2049 @ X2050 )
| ~ ( mrel @ X2050 @ X2051 )
| ~ ( v18 @ X2051 )
| ~ ( mrel @ X2051 @ X2052 )
| ~ ( mrel @ X2052 @ X2053 )
| ~ ( mrel @ X2053 @ X2054 )
| ~ ( mrel @ X2054 @ X2055 )
| ~ ( mrel @ X2055 @ X2056 )
| ~ ( mrel @ X2056 @ X2057 )
| ~ ( mrel @ X2057 @ X2058 )
| ~ ( mrel @ X2058 @ X2059 )
| ~ ( mrel @ X2059 @ X2060 )
| ~ ( mrel @ X2060 @ X2061 )
| ~ ( mrel @ X2061 @ X2062 )
| ~ ( v7 @ X2062 )
| ~ ( mrel @ X2062 @ X2063 )
| ~ ( v6 @ X2063 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_84])])])]) ).
thf(c_0_91,plain,
! [X3: mworld,X5: mworld] :
( ( epred16_1 @ X5 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ X3 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
thf(c_0_92,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld] :
( ( v22 @ X3 )
| ( v18 @ X5 )
| ~ ( v24 @ X6 )
| ~ ( v28 @ X7 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_93,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld] : ( v24 @ ( esk35_4 @ X3 @ X5 @ X6 @ X7 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_94,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld,X9: mworld,X10: mworld,X11: mworld,X12: mworld,X13: mworld,X14: mworld,X15: mworld,X16: mworld,X17: mworld] :
~ ( v14 @ ( esk20_14 @ X3 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_95,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( v14 @ X3 )
| ( v28 @ X5 )
| ( v6 @ X6 ) ),
inference(ef,[status(thm)],[c_0_89]) ).
thf(c_0_96,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld,X9: mworld,X10: mworld,X11: mworld,X12: mworld,X13: mworld,X14: mworld,X15: mworld,X16: mworld,X17: mworld,X18: mworld,X19: mworld,X20: mworld,X21: mworld,X22: mworld,X23: mworld,X24: mworld,X25: mworld] :
( ~ ( epred16_1 @ X3 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( v26 @ X5 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( mrel @ X7 @ X8 )
| ~ ( mrel @ X8 @ X9 )
| ~ ( mrel @ X9 @ X10 )
| ~ ( mrel @ X10 @ X11 )
| ~ ( mrel @ X11 @ X12 )
| ~ ( mrel @ X12 @ X13 )
| ~ ( v18 @ X13 )
| ~ ( mrel @ X13 @ X14 )
| ~ ( mrel @ X14 @ X15 )
| ~ ( mrel @ X15 @ X16 )
| ~ ( mrel @ X16 @ X17 )
| ~ ( mrel @ X17 @ X18 )
| ~ ( mrel @ X18 @ X19 )
| ~ ( mrel @ X19 @ X20 )
| ~ ( mrel @ X20 @ X21 )
| ~ ( mrel @ X21 @ X22 )
| ~ ( mrel @ X22 @ X23 )
| ~ ( mrel @ X23 @ X24 )
| ~ ( v7 @ X24 )
| ~ ( mrel @ X24 @ X25 )
| ~ ( v6 @ X25 ) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
thf(c_0_97,plain,
! [X3: mworld] : ( epred16_1 @ X3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_35]),c_0_35])]) ).
thf(c_0_98,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( v22 @ X3 )
| ( v18 @ X5 )
| ~ ( v28 @ X6 ) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
thf(c_0_99,plain,
! [X3: mworld,X5: mworld] :
( ( v6 @ X3 )
| ( v28 @ X5 ) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
thf(c_0_100,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld] :
( ~ ( v6 @ X3 )
| ~ ( v7 @ X5 )
| ~ ( v18 @ X6 )
| ~ ( v26 @ X7 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_97]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_101,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( v6 @ X3 )
| ( v18 @ X5 )
| ( v22 @ X6 ) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
thf(c_0_102,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld] :
( ( v22 @ X3 )
| ( v6 @ X5 )
| ~ ( v6 @ X6 )
| ~ ( v7 @ X7 )
| ~ ( v26 @ X8 ) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
thf(c_0_103,plain,
! [X24: mworld,X23: mworld,X22: mworld,X21: mworld,X20: mworld,X19: mworld,X18: mworld,X17: mworld,X16: mworld,X15: mworld,X14: mworld,X13: mworld,X12: mworld,X11: mworld,X10: mworld,X9: mworld,X8: mworld,X7: mworld,X6: mworld,X5: mworld,X3: mworld] :
( ( v7 @ ( esk9_21 @ X3 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 ) )
| ~ ( mrel @ X23 @ X24 )
| ~ ( mrel @ X22 @ X23 )
| ~ ( mrel @ X21 @ X22 )
| ~ ( mrel @ X20 @ X21 )
| ~ ( mrel @ X19 @ X20 )
| ~ ( mrel @ X18 @ X19 )
| ~ ( mrel @ X17 @ X18 )
| ~ ( mrel @ X16 @ X17 )
| ~ ( mrel @ X15 @ X16 )
| ~ ( mrel @ X14 @ X15 )
| ~ ( mrel @ X13 @ X14 )
| ~ ( mrel @ X12 @ X13 )
| ~ ( mrel @ X11 @ X12 )
| ~ ( mrel @ X10 @ X11 )
| ~ ( mrel @ X9 @ X10 )
| ~ ( mrel @ X8 @ X9 )
| ~ ( mrel @ X7 @ X8 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_104,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld] :
( ( v6 @ X3 )
| ( v22 @ X5 )
| ~ ( v7 @ X6 )
| ~ ( v26 @ X7 ) ),
inference(spm,[status(thm)],[c_0_102,c_0_72]) ).
thf(c_0_105,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld,X9: mworld,X10: mworld,X11: mworld,X12: mworld,X13: mworld,X14: mworld,X15: mworld,X16: mworld,X17: mworld,X18: mworld,X19: mworld,X20: mworld,X21: mworld,X22: mworld,X23: mworld,X24: mworld] : ( v7 @ ( esk9_21 @ X3 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_106,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( v22 @ X3 )
| ( v6 @ X5 )
| ~ ( v26 @ X6 ) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
thf(c_0_107,plain,
! [X9: mworld,X8: mworld,X7: mworld,X6: mworld,X5: mworld,X3: mworld] :
( ~ ( v22 @ ( esk32_6 @ X3 @ X5 @ X6 @ X7 @ X8 @ X9 ) )
| ~ ( mrel @ X8 @ X9 )
| ~ ( mrel @ X7 @ X8 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_108,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( v6 @ X3 )
| ( v22 @ X5 )
| ~ ( v13 @ X6 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_51]),c_0_99]) ).
thf(c_0_109,plain,
! [X25: mworld,X24: mworld,X23: mworld,X22: mworld,X21: mworld,X20: mworld,X19: mworld,X18: mworld,X17: mworld,X16: mworld,X15: mworld,X14: mworld,X13: mworld,X12: mworld,X11: mworld,X10: mworld,X9: mworld,X8: mworld,X7: mworld,X6: mworld,X5: mworld,X3: mworld] :
( ~ ( v6 @ ( esk8_22 @ X3 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 ) )
| ~ ( mrel @ X24 @ X25 )
| ~ ( mrel @ X23 @ X24 )
| ~ ( mrel @ X22 @ X23 )
| ~ ( mrel @ X21 @ X22 )
| ~ ( mrel @ X20 @ X21 )
| ~ ( mrel @ X19 @ X20 )
| ~ ( mrel @ X18 @ X19 )
| ~ ( mrel @ X17 @ X18 )
| ~ ( mrel @ X16 @ X17 )
| ~ ( mrel @ X15 @ X16 )
| ~ ( mrel @ X14 @ X15 )
| ~ ( mrel @ X13 @ X14 )
| ~ ( mrel @ X12 @ X13 )
| ~ ( mrel @ X11 @ X12 )
| ~ ( mrel @ X10 @ X11 )
| ~ ( mrel @ X9 @ X10 )
| ~ ( mrel @ X8 @ X9 )
| ~ ( mrel @ X7 @ X8 )
| ~ ( mrel @ X6 @ X7 )
| ~ ( mrel @ X5 @ X6 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
thf(c_0_110,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld,X9: mworld] :
~ ( v22 @ ( esk32_6 @ X3 @ X5 @ X6 @ X7 @ X8 @ X9 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_111,plain,
! [X3: mworld,X5: mworld] :
( ( v22 @ X3 )
| ( v6 @ X5 ) ),
inference(spm,[status(thm)],[c_0_108,c_0_59]) ).
thf(c_0_112,plain,
! [X3: mworld,X5: mworld,X6: mworld,X7: mworld,X8: mworld,X9: mworld,X10: mworld,X11: mworld,X12: mworld,X13: mworld,X14: mworld,X15: mworld,X16: mworld,X17: mworld,X18: mworld,X19: mworld,X20: mworld,X21: mworld,X22: mworld,X23: mworld,X24: mworld,X25: mworld] :
~ ( v6 @ ( esk8_22 @ X3 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
thf(c_0_113,plain,
! [X3: mworld] : ( v6 @ X3 ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
thf(c_0_114,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_113])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO904^12 : TPTP v8.2.0. Released v8.1.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon May 20 09:29:53 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.19/0.46 Running higher-order theorem proving
% 0.19/0.46 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
% 0.62/0.61 # Version: 3.1.0-ho
% 0.62/0.61 # Preprocessing class: HSLSSMSSMLLNHSN.
% 0.62/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.62/0.61 # Starting almost_fo_3 with 1500s (5) cores
% 0.62/0.61 # Starting sh10 with 300s (1) cores
% 0.62/0.61 # Starting new_ho_16 with 300s (1) cores
% 0.62/0.61 # Starting post_as_ho11 with 300s (1) cores
% 0.62/0.61 # new_ho_16 with pid 12997 completed with status 8
% 0.62/0.61 # almost_fo_3 with pid 12995 completed with status 0
% 0.62/0.61 # Result found by almost_fo_3
% 0.62/0.61 # Preprocessing class: HSLSSMSSMLLNHSN.
% 0.62/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.62/0.61 # Starting almost_fo_3 with 1500s (5) cores
% 0.62/0.61 # No SInE strategy applied
% 0.62/0.61 # Search class: HGHNF-FSLF33-SHSSMFNN
% 0.62/0.61 # partial match(1): HGHNS-FSLF33-SHSSMFNN
% 0.62/0.61 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.62/0.61 # Starting new_ho_15 with 811s (1) cores
% 0.62/0.61 # Starting almost_fo_3 with 151s (1) cores
% 0.62/0.61 # Starting sh5l with 136s (1) cores
% 0.62/0.61 # Starting ehoh_best8_lambda with 136s (1) cores
% 0.62/0.61 # Starting new_bool_3 with 136s (1) cores
% 0.62/0.61 # almost_fo_3 with pid 13013 completed with status 0
% 0.62/0.61 # Result found by almost_fo_3
% 0.62/0.61 # Preprocessing class: HSLSSMSSMLLNHSN.
% 0.62/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.62/0.61 # Starting almost_fo_3 with 1500s (5) cores
% 0.62/0.61 # No SInE strategy applied
% 0.62/0.61 # Search class: HGHNF-FSLF33-SHSSMFNN
% 0.62/0.61 # partial match(1): HGHNS-FSLF33-SHSSMFNN
% 0.62/0.61 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.62/0.61 # Starting new_ho_15 with 811s (1) cores
% 0.62/0.61 # Starting almost_fo_3 with 151s (1) cores
% 0.62/0.61 # Preprocessing time : 0.005 s
% 0.62/0.61 # Presaturation interreduction done
% 0.62/0.61
% 0.62/0.61 # Proof found!
% 0.62/0.61 # SZS status ContradictoryAxioms
% 0.62/0.61 # SZS output start CNFRefutation
% See solution above
% 0.62/0.62 # Parsed axioms : 100
% 0.62/0.62 # Removed by relevancy pruning/SinE : 0
% 0.62/0.62 # Initial clauses : 205
% 0.62/0.62 # Removed in clause preprocessing : 56
% 0.62/0.62 # Initial clauses in saturation : 149
% 0.62/0.62 # Processed clauses : 343
% 0.62/0.62 # ...of these trivial : 39
% 0.62/0.62 # ...subsumed : 0
% 0.62/0.62 # ...remaining for further processing : 304
% 0.62/0.62 # Other redundant clauses eliminated : 0
% 0.62/0.62 # Clauses deleted for lack of memory : 0
% 0.62/0.62 # Backward-subsumed : 47
% 0.62/0.62 # Backward-rewritten : 22
% 0.62/0.62 # Generated clauses : 125
% 0.62/0.62 # ...of the previous two non-redundant : 131
% 0.62/0.62 # ...aggressively subsumed : 0
% 0.62/0.62 # Contextual simplify-reflections : 4
% 0.62/0.62 # Paramodulations : 123
% 0.62/0.62 # Factorizations : 2
% 0.62/0.62 # NegExts : 0
% 0.62/0.62 # Equation resolutions : 0
% 0.62/0.62 # Disequality decompositions : 0
% 0.62/0.62 # Total rewrite steps : 2092
% 0.62/0.62 # ...of those cached : 1967
% 0.62/0.62 # Propositional unsat checks : 0
% 0.62/0.62 # Propositional check models : 0
% 0.62/0.62 # Propositional check unsatisfiable : 0
% 0.62/0.62 # Propositional clauses : 0
% 0.62/0.62 # Propositional clauses after purity: 0
% 0.62/0.62 # Propositional unsat core size : 0
% 0.62/0.62 # Propositional preprocessing time : 0.000
% 0.62/0.62 # Propositional encoding time : 0.000
% 0.62/0.62 # Propositional solver time : 0.000
% 0.62/0.62 # Success case prop preproc time : 0.000
% 0.62/0.62 # Success case prop encoding time : 0.000
% 0.62/0.62 # Success case prop solver time : 0.000
% 0.62/0.62 # Current number of processed clauses : 126
% 0.62/0.62 # Positive orientable unit clauses : 38
% 0.62/0.62 # Positive unorientable unit clauses: 0
% 0.62/0.62 # Negative unit clauses : 11
% 0.62/0.62 # Non-unit-clauses : 77
% 0.62/0.62 # Current number of unprocessed clauses: 36
% 0.62/0.62 # ...number of literals in the above : 213
% 0.62/0.62 # Current number of archived formulas : 0
% 0.62/0.62 # Current number of archived clauses : 178
% 0.62/0.62 # Clause-clause subsumption calls (NU) : 8349
% 0.62/0.62 # Rec. Clause-clause subsumption calls : 2476
% 0.62/0.62 # Non-unit clause-clause subsumptions : 51
% 0.62/0.62 # Unit Clause-clause subsumption calls : 397
% 0.62/0.62 # Rewrite failures with RHS unbound : 0
% 0.62/0.62 # BW rewrite match attempts : 7
% 0.62/0.62 # BW rewrite match successes : 7
% 0.62/0.62 # Condensation attempts : 0
% 0.62/0.62 # Condensation successes : 0
% 0.62/0.62 # Termbank termtop insertions : 96271
% 0.62/0.62 # Search garbage collected termcells : 47583
% 0.62/0.62
% 0.62/0.62 # -------------------------------------------------
% 0.62/0.62 # User time : 0.124 s
% 0.62/0.62 # System time : 0.013 s
% 0.62/0.62 # Total time : 0.136 s
% 0.62/0.62 # Maximum resident set size: 8856 pages
% 0.62/0.62
% 0.62/0.62 # -------------------------------------------------
% 0.62/0.62 # User time : 0.211 s
% 0.62/0.62 # System time : 0.039 s
% 0.62/0.62 # Total time : 0.250 s
% 0.62/0.62 # Maximum resident set size: 2052 pages
% 0.62/0.62 % E---3.1 exiting
% 0.62/0.62 % E exiting
%------------------------------------------------------------------------------