TSTP Solution File: NLP004^7 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NLP004^7 : TPTP v8.2.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 00:53:01 EDT 2024
% Result : Theorem 0.47s 0.62s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 67
% Syntax : Number of formulae : 192 ( 21 unt; 55 typ; 0 def)
% Number of atoms : 1601 ( 17 equ; 0 cnn)
% Maximal formula atoms : 292 ( 11 avg)
% Number of connectives : 6275 (1748 ~; 979 |; 82 &;3374 @)
% ( 4 <=>; 88 =>; 0 <=; 0 <~>)
% Maximal formula depth : 139 ( 18 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 150 ( 150 >; 0 *; 0 +; 0 <<)
% Number of symbols : 56 ( 54 usr; 2 con; 0-11 aty)
% Number of variables : 475 ( 78 ^ 397 !; 0 ?; 475 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mu: $tType ).
thf(decl_22,type,
qmltpeq: mu > mu > $i > $o ).
thf(decl_24,type,
mnot: ( $i > $o ) > $i > $o ).
thf(decl_25,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_30,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_31,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_36,type,
exists_in_world: mu > $i > $o ).
thf(decl_37,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(decl_38,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(decl_50,type,
mvalid: ( $i > $o ) > $o ).
thf(decl_57,type,
young: mu > $i > $o ).
thf(decl_58,type,
man: mu > $i > $o ).
thf(decl_59,type,
fellow: mu > $i > $o ).
thf(decl_60,type,
in: mu > mu > $i > $o ).
thf(decl_61,type,
down: mu > mu > $i > $o ).
thf(decl_62,type,
barrel: mu > mu > $i > $o ).
thf(decl_63,type,
old: mu > $i > $o ).
thf(decl_64,type,
dirty: mu > $i > $o ).
thf(decl_65,type,
white: mu > $i > $o ).
thf(decl_66,type,
car: mu > $i > $o ).
thf(decl_67,type,
chevy: mu > $i > $o ).
thf(decl_68,type,
lonely: mu > $i > $o ).
thf(decl_69,type,
way: mu > $i > $o ).
thf(decl_70,type,
street: mu > $i > $o ).
thf(decl_71,type,
event: mu > $i > $o ).
thf(decl_72,type,
city: mu > $i > $o ).
thf(decl_73,type,
hollywood: mu > $i > $o ).
thf(decl_74,type,
front: mu > $i > $o ).
thf(decl_75,type,
furniture: mu > $i > $o ).
thf(decl_76,type,
seat: mu > $i > $o ).
thf(decl_77,type,
epred1_11: $i > mu > mu > mu > mu > mu > mu > mu > mu > mu > mu > $o ).
thf(decl_78,type,
epred2_1: $i > $o ).
thf(decl_79,type,
epred3_11: $i > mu > mu > mu > mu > mu > mu > mu > mu > mu > mu > $o ).
thf(decl_80,type,
epred4_1: $i > $o ).
thf(decl_81,type,
esk1_0: $i ).
thf(decl_82,type,
esk2_1: $i > mu ).
thf(decl_83,type,
esk3_1: $i > mu ).
thf(decl_84,type,
esk4_1: $i > mu ).
thf(decl_85,type,
esk5_1: $i > mu ).
thf(decl_86,type,
esk6_1: $i > mu ).
thf(decl_87,type,
esk7_1: $i > mu ).
thf(decl_88,type,
esk8_1: $i > mu ).
thf(decl_89,type,
esk9_1: $i > mu ).
thf(decl_90,type,
esk10_1: $i > mu ).
thf(decl_91,type,
esk11_1: $i > mu ).
thf(decl_92,type,
esk12_1: $i > mu ).
thf(decl_93,type,
esk13_1: $i > mu ).
thf(decl_94,type,
esk14_1: $i > mu ).
thf(decl_95,type,
esk15_1: $i > mu ).
thf(decl_96,type,
esk16_1: $i > mu ).
thf(decl_97,type,
esk17_1: $i > mu ).
thf(decl_98,type,
esk18_1: $i > mu ).
thf(decl_99,type,
esk19_1: $i > mu ).
thf(decl_100,type,
esk20_1: $i > mu ).
thf(decl_101,type,
esk21_1: $i > mu ).
thf(mand,axiom,
( mand
= ( ^ [X4: $i > $o,X5: $i > $o] : ( mnot @ ( mor @ ( mnot @ X4 ) @ ( mnot @ X5 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mand) ).
thf(mor,axiom,
( mor
= ( ^ [X4: $i > $o,X5: $i > $o,X3: $i] :
( ( X4 @ X3 )
| ( X5 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mor) ).
thf(mnot,axiom,
( mnot
= ( ^ [X4: $i > $o,X3: $i] :
~ ( X4 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mnot) ).
thf(mexists_ind,axiom,
( mexists_ind
= ( ^ [X13: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X14: mu] : ( mnot @ ( X13 @ X14 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mexists_ind) ).
thf(mforall_ind,axiom,
( mforall_ind
= ( ^ [X11: mu > $i > $o,X3: $i] :
! [X12: mu] :
( ( exists_in_world @ X12 @ X3 )
=> ( X11 @ X12 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mforall_ind) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [X4: $i > $o,X5: $i > $o] : ( mor @ ( mnot @ X4 ) @ X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mimplies) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X4: $i > $o] :
! [X3: $i] : ( X4 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mvalid) ).
thf(co1,conjecture,
( mvalid
@ ( mand
@ ( mimplies
@ ( mexists_ind
@ ^ [X29: mu] :
( mexists_ind
@ ^ [X30: mu] :
( mexists_ind
@ ^ [X31: mu] :
( mexists_ind
@ ^ [X32: mu] :
( mexists_ind
@ ^ [X33: mu] :
( mexists_ind
@ ^ [X25: mu] :
( mexists_ind
@ ^ [X34: mu] :
( mexists_ind
@ ^ [X35: mu] :
( mexists_ind
@ ^ [X36: mu] :
( mexists_ind
@ ^ [X37: mu] : ( mand @ ( seat @ X29 ) @ ( mand @ ( furniture @ X29 ) @ ( mand @ ( front @ X29 ) @ ( mand @ ( seat @ X30 ) @ ( mand @ ( furniture @ X30 ) @ ( mand @ ( front @ X30 ) @ ( mand @ ( hollywood @ X31 ) @ ( mand @ ( city @ X31 ) @ ( mand @ ( event @ X32 ) @ ( mand @ ( street @ X33 ) @ ( mand @ ( way @ X33 ) @ ( mand @ ( lonely @ X33 ) @ ( mand @ ( chevy @ X25 ) @ ( mand @ ( car @ X25 ) @ ( mand @ ( white @ X25 ) @ ( mand @ ( dirty @ X25 ) @ ( mand @ ( old @ X25 ) @ ( mand @ ( barrel @ X32 @ X25 ) @ ( mand @ ( down @ X32 @ X33 ) @ ( mand @ ( in @ X32 @ X31 ) @ ( mand @ ( mnot @ ( qmltpeq @ X34 @ X35 ) ) @ ( mand @ ( fellow @ X34 ) @ ( mand @ ( man @ X34 ) @ ( mand @ ( young @ X34 ) @ ( mand @ ( fellow @ X35 ) @ ( mand @ ( man @ X35 ) @ ( mand @ ( young @ X35 ) @ ( mand @ ( qmltpeq @ X34 @ X36 ) @ ( mand @ ( in @ X36 @ X29 ) @ ( mand @ ( qmltpeq @ X35 @ X37 ) @ ( in @ X37 @ X30 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_ind
@ ^ [X38: mu] :
( mexists_ind
@ ^ [X39: mu] :
( mexists_ind
@ ^ [X40: mu] :
( mexists_ind
@ ^ [X41: mu] :
( mexists_ind
@ ^ [X42: mu] :
( mexists_ind
@ ^ [X43: mu] :
( mexists_ind
@ ^ [X44: mu] :
( mexists_ind
@ ^ [X45: mu] :
( mexists_ind
@ ^ [X46: mu] :
( mexists_ind
@ ^ [X47: mu] : ( mand @ ( seat @ X38 ) @ ( mand @ ( furniture @ X38 ) @ ( mand @ ( front @ X38 ) @ ( mand @ ( seat @ X39 ) @ ( mand @ ( furniture @ X39 ) @ ( mand @ ( front @ X39 ) @ ( mand @ ( hollywood @ X40 ) @ ( mand @ ( city @ X40 ) @ ( mand @ ( event @ X41 ) @ ( mand @ ( chevy @ X42 ) @ ( mand @ ( car @ X42 ) @ ( mand @ ( white @ X42 ) @ ( mand @ ( dirty @ X42 ) @ ( mand @ ( old @ X42 ) @ ( mand @ ( street @ X43 ) @ ( mand @ ( way @ X43 ) @ ( mand @ ( lonely @ X43 ) @ ( mand @ ( barrel @ X41 @ X42 ) @ ( mand @ ( down @ X41 @ X43 ) @ ( mand @ ( in @ X41 @ X40 ) @ ( mand @ ( mnot @ ( qmltpeq @ X44 @ X45 ) ) @ ( mand @ ( fellow @ X44 ) @ ( mand @ ( man @ X44 ) @ ( mand @ ( young @ X44 ) @ ( mand @ ( fellow @ X45 ) @ ( mand @ ( man @ X45 ) @ ( mand @ ( young @ X45 ) @ ( mand @ ( qmltpeq @ X44 @ X46 ) @ ( mand @ ( in @ X46 @ X38 ) @ ( mand @ ( qmltpeq @ X45 @ X47 ) @ ( in @ X47 @ X39 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mimplies
@ ( mexists_ind
@ ^ [X48: mu] :
( mexists_ind
@ ^ [X49: mu] :
( mexists_ind
@ ^ [X50: mu] :
( mexists_ind
@ ^ [X51: mu] :
( mexists_ind
@ ^ [X52: mu] :
( mexists_ind
@ ^ [X53: mu] :
( mexists_ind
@ ^ [X54: mu] :
( mexists_ind
@ ^ [X55: mu] :
( mexists_ind
@ ^ [X56: mu] :
( mexists_ind
@ ^ [X57: mu] : ( mand @ ( seat @ X48 ) @ ( mand @ ( furniture @ X48 ) @ ( mand @ ( front @ X48 ) @ ( mand @ ( seat @ X49 ) @ ( mand @ ( furniture @ X49 ) @ ( mand @ ( front @ X49 ) @ ( mand @ ( hollywood @ X50 ) @ ( mand @ ( city @ X50 ) @ ( mand @ ( event @ X51 ) @ ( mand @ ( chevy @ X52 ) @ ( mand @ ( car @ X52 ) @ ( mand @ ( white @ X52 ) @ ( mand @ ( dirty @ X52 ) @ ( mand @ ( old @ X52 ) @ ( mand @ ( street @ X53 ) @ ( mand @ ( way @ X53 ) @ ( mand @ ( lonely @ X53 ) @ ( mand @ ( barrel @ X51 @ X52 ) @ ( mand @ ( down @ X51 @ X53 ) @ ( mand @ ( in @ X51 @ X50 ) @ ( mand @ ( mnot @ ( qmltpeq @ X54 @ X55 ) ) @ ( mand @ ( fellow @ X54 ) @ ( mand @ ( man @ X54 ) @ ( mand @ ( young @ X54 ) @ ( mand @ ( fellow @ X55 ) @ ( mand @ ( man @ X55 ) @ ( mand @ ( young @ X55 ) @ ( mand @ ( qmltpeq @ X54 @ X56 ) @ ( mand @ ( in @ X56 @ X48 ) @ ( mand @ ( qmltpeq @ X55 @ X57 ) @ ( in @ X57 @ X49 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_ind
@ ^ [X58: mu] :
( mexists_ind
@ ^ [X59: mu] :
( mexists_ind
@ ^ [X60: mu] :
( mexists_ind
@ ^ [X61: mu] :
( mexists_ind
@ ^ [X62: mu] :
( mexists_ind
@ ^ [X63: mu] :
( mexists_ind
@ ^ [X64: mu] :
( mexists_ind
@ ^ [X65: mu] :
( mexists_ind
@ ^ [X66: mu] :
( mexists_ind
@ ^ [X67: mu] : ( mand @ ( seat @ X58 ) @ ( mand @ ( furniture @ X58 ) @ ( mand @ ( front @ X58 ) @ ( mand @ ( seat @ X59 ) @ ( mand @ ( furniture @ X59 ) @ ( mand @ ( front @ X59 ) @ ( mand @ ( hollywood @ X60 ) @ ( mand @ ( city @ X60 ) @ ( mand @ ( event @ X61 ) @ ( mand @ ( street @ X62 ) @ ( mand @ ( way @ X62 ) @ ( mand @ ( lonely @ X62 ) @ ( mand @ ( chevy @ X63 ) @ ( mand @ ( car @ X63 ) @ ( mand @ ( white @ X63 ) @ ( mand @ ( dirty @ X63 ) @ ( mand @ ( old @ X63 ) @ ( mand @ ( barrel @ X61 @ X63 ) @ ( mand @ ( down @ X61 @ X62 ) @ ( mand @ ( in @ X61 @ X60 ) @ ( mand @ ( mnot @ ( qmltpeq @ X64 @ X65 ) ) @ ( mand @ ( fellow @ X64 ) @ ( mand @ ( man @ X64 ) @ ( mand @ ( young @ X64 ) @ ( mand @ ( fellow @ X65 ) @ ( mand @ ( man @ X65 ) @ ( mand @ ( young @ X65 ) @ ( mand @ ( qmltpeq @ X64 @ X66 ) @ ( mand @ ( in @ X66 @ X58 ) @ ( mand @ ( qmltpeq @ X65 @ X67 ) @ ( in @ X67 @ X59 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
thf(c_0_8,plain,
! [X82: mu,X86: mu,X87: mu,X85: mu,X84: mu,X83: mu,X88: mu,X89: mu,X90: mu,X91: mu,X112: $i] :
( ( epred1_11 @ X112 @ X91 @ X90 @ X83 @ X89 @ X84 @ X85 @ X86 @ X87 @ X88 @ X82 )
<=> ~ ~ ( ~ ( seat @ X91 @ X112 )
| ~ ~ ( ~ ( furniture @ X91 @ X112 )
| ~ ~ ( ~ ( front @ X91 @ X112 )
| ~ ~ ( ~ ( seat @ X90 @ X112 )
| ~ ~ ( ~ ( furniture @ X90 @ X112 )
| ~ ~ ( ~ ( front @ X90 @ X112 )
| ~ ~ ( ~ ( hollywood @ X89 @ X112 )
| ~ ~ ( ~ ( city @ X89 @ X112 )
| ~ ~ ( ~ ( event @ X88 @ X112 )
| ~ ~ ( ~ ( chevy @ X87 @ X112 )
| ~ ~ ( ~ ( car @ X87 @ X112 )
| ~ ~ ( ~ ( white @ X87 @ X112 )
| ~ ~ ( ~ ( dirty @ X87 @ X112 )
| ~ ~ ( ~ ( old @ X87 @ X112 )
| ~ ~ ( ~ ( street @ X86 @ X112 )
| ~ ~ ( ~ ( way @ X86 @ X112 )
| ~ ~ ( ~ ( lonely @ X86 @ X112 )
| ~ ~ ( ~ ( barrel @ X88 @ X87 @ X112 )
| ~ ~ ( ~ ( down @ X88 @ X86 @ X112 )
| ~ ~ ( ~ ( in @ X88 @ X89 @ X112 )
| ~ ~ ( ( qmltpeq @ X85 @ X84 @ X112 )
| ~ ~ ( ~ ( fellow @ X85 @ X112 )
| ~ ~ ( ~ ( man @ X85 @ X112 )
| ~ ~ ( ~ ( young @ X85 @ X112 )
| ~ ~ ( ~ ( fellow @ X84 @ X112 )
| ~ ~ ( ~ ( man @ X84 @ X112 )
| ~ ~ ( ~ ( young @ X84 @ X112 )
| ~ ~ ( ~ ( qmltpeq @ X85 @ X83 @ X112 )
| ~ ~ ( ~ ( in @ X83 @ X91 @ X112 )
| ~ ~ ( ~ ( qmltpeq @ X84 @ X82 @ X112 )
| ~ ( in @ X82 @ X90 @ X112 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_9,plain,
! [X112: $i] :
( ( epred2_1 @ X112 )
<=> ~ ( ~ ~ ! [X81: mu] :
( ( exists_in_world @ X81 @ X112 )
=> ~ ~ ! [X80: mu] :
( ( exists_in_world @ X80 @ X112 )
=> ~ ~ ! [X79: mu] :
( ( exists_in_world @ X79 @ X112 )
=> ~ ~ ! [X78: mu] :
( ( exists_in_world @ X78 @ X112 )
=> ~ ~ ! [X77: mu] :
( ( exists_in_world @ X77 @ X112 )
=> ~ ~ ! [X76: mu] :
( ( exists_in_world @ X76 @ X112 )
=> ~ ~ ! [X75: mu] :
( ( exists_in_world @ X75 @ X112 )
=> ~ ~ ! [X74: mu] :
( ( exists_in_world @ X74 @ X112 )
=> ~ ~ ! [X73: mu] :
( ( exists_in_world @ X73 @ X112 )
=> ~ ~ ! [X72: mu] :
( ( exists_in_world @ X72 @ X112 )
=> ~ ~ ( ~ ( seat @ X81 @ X112 )
| ~ ~ ( ~ ( furniture @ X81 @ X112 )
| ~ ~ ( ~ ( front @ X81 @ X112 )
| ~ ~ ( ~ ( seat @ X80 @ X112 )
| ~ ~ ( ~ ( furniture @ X80 @ X112 )
| ~ ~ ( ~ ( front @ X80 @ X112 )
| ~ ~ ( ~ ( hollywood @ X79 @ X112 )
| ~ ~ ( ~ ( city @ X79 @ X112 )
| ~ ~ ( ~ ( event @ X78 @ X112 )
| ~ ~ ( ~ ( street @ X77 @ X112 )
| ~ ~ ( ~ ( way @ X77 @ X112 )
| ~ ~ ( ~ ( lonely @ X77 @ X112 )
| ~ ~ ( ~ ( chevy @ X76 @ X112 )
| ~ ~ ( ~ ( car @ X76 @ X112 )
| ~ ~ ( ~ ( white @ X76 @ X112 )
| ~ ~ ( ~ ( dirty @ X76 @ X112 )
| ~ ~ ( ~ ( old @ X76 @ X112 )
| ~ ~ ( ~ ( barrel @ X78 @ X76 @ X112 )
| ~ ~ ( ~ ( down @ X78 @ X77 @ X112 )
| ~ ~ ( ~ ( in @ X78 @ X79 @ X112 )
| ~ ~ ( ( qmltpeq @ X75 @ X74 @ X112 )
| ~ ~ ( ~ ( fellow @ X75 @ X112 )
| ~ ~ ( ~ ( man @ X75 @ X112 )
| ~ ~ ( ~ ( young @ X75 @ X112 )
| ~ ~ ( ~ ( fellow @ X74 @ X112 )
| ~ ~ ( ~ ( man @ X74 @ X112 )
| ~ ~ ( ~ ( young @ X74 @ X112 )
| ~ ~ ( ~ ( qmltpeq @ X75 @ X73 @ X112 )
| ~ ~ ( ~ ( in @ X73 @ X81 @ X112 )
| ~ ~ ( ~ ( qmltpeq @ X74 @ X72 @ X112 )
| ~ ( in @ X72 @ X80 @ X112 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ! [X91: mu] :
( ( exists_in_world @ X91 @ X112 )
=> ~ ~ ! [X90: mu] :
( ( exists_in_world @ X90 @ X112 )
=> ~ ~ ! [X89: mu] :
( ( exists_in_world @ X89 @ X112 )
=> ~ ~ ! [X88: mu] :
( ( exists_in_world @ X88 @ X112 )
=> ~ ~ ! [X87: mu] :
( ( exists_in_world @ X87 @ X112 )
=> ~ ~ ! [X86: mu] :
( ( exists_in_world @ X86 @ X112 )
=> ~ ~ ! [X85: mu] :
( ( exists_in_world @ X85 @ X112 )
=> ~ ~ ! [X84: mu] :
( ( exists_in_world @ X84 @ X112 )
=> ~ ~ ! [X83: mu] :
( ( exists_in_world @ X83 @ X112 )
=> ~ ~ ! [X82: mu] :
( ( exists_in_world @ X82 @ X112 )
=> ~ ~ ( ~ ( seat @ X91 @ X112 )
| ~ ~ ( ~ ( furniture @ X91 @ X112 )
| ~ ~ ( ~ ( front @ X91 @ X112 )
| ~ ~ ( ~ ( seat @ X90 @ X112 )
| ~ ~ ( ~ ( furniture @ X90 @ X112 )
| ~ ~ ( ~ ( front @ X90 @ X112 )
| ~ ~ ( ~ ( hollywood @ X89 @ X112 )
| ~ ~ ( ~ ( city @ X89 @ X112 )
| ~ ~ ( ~ ( event @ X88 @ X112 )
| ~ ~ ( ~ ( chevy @ X87 @ X112 )
| ~ ~ ( ~ ( car @ X87 @ X112 )
| ~ ~ ( ~ ( white @ X87 @ X112 )
| ~ ~ ( ~ ( dirty @ X87 @ X112 )
| ~ ~ ( ~ ( old @ X87 @ X112 )
| ~ ~ ( ~ ( street @ X86 @ X112 )
| ~ ~ ( ~ ( way @ X86 @ X112 )
| ~ ~ ( ~ ( lonely @ X86 @ X112 )
| ~ ~ ( ~ ( barrel @ X88 @ X87 @ X112 )
| ~ ~ ( ~ ( down @ X88 @ X86 @ X112 )
| ~ ~ ( ~ ( in @ X88 @ X89 @ X112 )
| ~ ~ ( ( qmltpeq @ X85 @ X84 @ X112 )
| ~ ~ ( ~ ( fellow @ X85 @ X112 )
| ~ ~ ( ~ ( man @ X85 @ X112 )
| ~ ~ ( ~ ( young @ X85 @ X112 )
| ~ ~ ( ~ ( fellow @ X84 @ X112 )
| ~ ~ ( ~ ( man @ X84 @ X112 )
| ~ ~ ( ~ ( young @ X84 @ X112 )
| ~ ~ ( ~ ( qmltpeq @ X85 @ X83 @ X112 )
| ~ ~ ( ~ ( in @ X83 @ X91 @ X112 )
| ~ ~ ( ~ ( qmltpeq @ X84 @ X82 @ X112 )
| ~ ( in @ X82 @ X90 @ X112 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_10,plain,
! [X82: mu,X86: mu,X87: mu,X85: mu,X84: mu,X83: mu,X88: mu,X89: mu,X90: mu,X91: mu,X112: $i] :
( ( epred1_11 @ X112 @ X91 @ X90 @ X83 @ X89 @ X84 @ X85 @ X86 @ X87 @ X88 @ X82 )
=> ~ ~ ( ~ ( seat @ X91 @ X112 )
| ~ ~ ( ~ ( furniture @ X91 @ X112 )
| ~ ~ ( ~ ( front @ X91 @ X112 )
| ~ ~ ( ~ ( seat @ X90 @ X112 )
| ~ ~ ( ~ ( furniture @ X90 @ X112 )
| ~ ~ ( ~ ( front @ X90 @ X112 )
| ~ ~ ( ~ ( hollywood @ X89 @ X112 )
| ~ ~ ( ~ ( city @ X89 @ X112 )
| ~ ~ ( ~ ( event @ X88 @ X112 )
| ~ ~ ( ~ ( chevy @ X87 @ X112 )
| ~ ~ ( ~ ( car @ X87 @ X112 )
| ~ ~ ( ~ ( white @ X87 @ X112 )
| ~ ~ ( ~ ( dirty @ X87 @ X112 )
| ~ ~ ( ~ ( old @ X87 @ X112 )
| ~ ~ ( ~ ( street @ X86 @ X112 )
| ~ ~ ( ~ ( way @ X86 @ X112 )
| ~ ~ ( ~ ( lonely @ X86 @ X112 )
| ~ ~ ( ~ ( barrel @ X88 @ X87 @ X112 )
| ~ ~ ( ~ ( down @ X88 @ X86 @ X112 )
| ~ ~ ( ~ ( in @ X88 @ X89 @ X112 )
| ~ ~ ( ( qmltpeq @ X85 @ X84 @ X112 )
| ~ ~ ( ~ ( fellow @ X85 @ X112 )
| ~ ~ ( ~ ( man @ X85 @ X112 )
| ~ ~ ( ~ ( young @ X85 @ X112 )
| ~ ~ ( ~ ( fellow @ X84 @ X112 )
| ~ ~ ( ~ ( man @ X84 @ X112 )
| ~ ~ ( ~ ( young @ X84 @ X112 )
| ~ ~ ( ~ ( qmltpeq @ X85 @ X83 @ X112 )
| ~ ~ ( ~ ( in @ X83 @ X91 @ X112 )
| ~ ~ ( ~ ( qmltpeq @ X84 @ X82 @ X112 )
| ~ ( in @ X82 @ X90 @ X112 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_8]) ).
thf(c_0_11,plain,
! [X112: $i] :
( ( epred2_1 @ X112 )
=> ~ ( ~ ~ ! [X81: mu] :
( ( exists_in_world @ X81 @ X112 )
=> ~ ~ ! [X80: mu] :
( ( exists_in_world @ X80 @ X112 )
=> ~ ~ ! [X79: mu] :
( ( exists_in_world @ X79 @ X112 )
=> ~ ~ ! [X78: mu] :
( ( exists_in_world @ X78 @ X112 )
=> ~ ~ ! [X77: mu] :
( ( exists_in_world @ X77 @ X112 )
=> ~ ~ ! [X76: mu] :
( ( exists_in_world @ X76 @ X112 )
=> ~ ~ ! [X75: mu] :
( ( exists_in_world @ X75 @ X112 )
=> ~ ~ ! [X74: mu] :
( ( exists_in_world @ X74 @ X112 )
=> ~ ~ ! [X73: mu] :
( ( exists_in_world @ X73 @ X112 )
=> ~ ~ ! [X72: mu] :
( ( exists_in_world @ X72 @ X112 )
=> ~ ~ ( ~ ( seat @ X81 @ X112 )
| ~ ~ ( ~ ( furniture @ X81 @ X112 )
| ~ ~ ( ~ ( front @ X81 @ X112 )
| ~ ~ ( ~ ( seat @ X80 @ X112 )
| ~ ~ ( ~ ( furniture @ X80 @ X112 )
| ~ ~ ( ~ ( front @ X80 @ X112 )
| ~ ~ ( ~ ( hollywood @ X79 @ X112 )
| ~ ~ ( ~ ( city @ X79 @ X112 )
| ~ ~ ( ~ ( event @ X78 @ X112 )
| ~ ~ ( ~ ( street @ X77 @ X112 )
| ~ ~ ( ~ ( way @ X77 @ X112 )
| ~ ~ ( ~ ( lonely @ X77 @ X112 )
| ~ ~ ( ~ ( chevy @ X76 @ X112 )
| ~ ~ ( ~ ( car @ X76 @ X112 )
| ~ ~ ( ~ ( white @ X76 @ X112 )
| ~ ~ ( ~ ( dirty @ X76 @ X112 )
| ~ ~ ( ~ ( old @ X76 @ X112 )
| ~ ~ ( ~ ( barrel @ X78 @ X76 @ X112 )
| ~ ~ ( ~ ( down @ X78 @ X77 @ X112 )
| ~ ~ ( ~ ( in @ X78 @ X79 @ X112 )
| ~ ~ ( ( qmltpeq @ X75 @ X74 @ X112 )
| ~ ~ ( ~ ( fellow @ X75 @ X112 )
| ~ ~ ( ~ ( man @ X75 @ X112 )
| ~ ~ ( ~ ( young @ X75 @ X112 )
| ~ ~ ( ~ ( fellow @ X74 @ X112 )
| ~ ~ ( ~ ( man @ X74 @ X112 )
| ~ ~ ( ~ ( young @ X74 @ X112 )
| ~ ~ ( ~ ( qmltpeq @ X75 @ X73 @ X112 )
| ~ ~ ( ~ ( in @ X73 @ X81 @ X112 )
| ~ ~ ( ~ ( qmltpeq @ X74 @ X72 @ X112 )
| ~ ( in @ X72 @ X80 @ X112 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ! [X91: mu] :
( ( exists_in_world @ X91 @ X112 )
=> ~ ~ ! [X90: mu] :
( ( exists_in_world @ X90 @ X112 )
=> ~ ~ ! [X89: mu] :
( ( exists_in_world @ X89 @ X112 )
=> ~ ~ ! [X88: mu] :
( ( exists_in_world @ X88 @ X112 )
=> ~ ~ ! [X87: mu] :
( ( exists_in_world @ X87 @ X112 )
=> ~ ~ ! [X86: mu] :
( ( exists_in_world @ X86 @ X112 )
=> ~ ~ ! [X85: mu] :
( ( exists_in_world @ X85 @ X112 )
=> ~ ~ ! [X84: mu] :
( ( exists_in_world @ X84 @ X112 )
=> ~ ~ ! [X83: mu] :
( ( exists_in_world @ X83 @ X112 )
=> ~ ~ ! [X82: mu] :
( ( exists_in_world @ X82 @ X112 )
=> ( epred1_11 @ X112 @ X91 @ X90 @ X83 @ X89 @ X84 @ X85 @ X86 @ X87 @ X88 @ X82 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_9]),c_0_8]) ).
thf(c_0_12,plain,
! [X102: mu,X106: mu,X107: mu,X105: mu,X104: mu,X103: mu,X108: mu,X109: mu,X110: mu,X111: mu,X112: $i] :
( ( epred3_11 @ X112 @ X111 @ X110 @ X103 @ X109 @ X104 @ X105 @ X106 @ X107 @ X108 @ X102 )
<=> ~ ~ ( ~ ( seat @ X111 @ X112 )
| ~ ~ ( ~ ( furniture @ X111 @ X112 )
| ~ ~ ( ~ ( front @ X111 @ X112 )
| ~ ~ ( ~ ( seat @ X110 @ X112 )
| ~ ~ ( ~ ( furniture @ X110 @ X112 )
| ~ ~ ( ~ ( front @ X110 @ X112 )
| ~ ~ ( ~ ( hollywood @ X109 @ X112 )
| ~ ~ ( ~ ( city @ X109 @ X112 )
| ~ ~ ( ~ ( event @ X108 @ X112 )
| ~ ~ ( ~ ( street @ X107 @ X112 )
| ~ ~ ( ~ ( way @ X107 @ X112 )
| ~ ~ ( ~ ( lonely @ X107 @ X112 )
| ~ ~ ( ~ ( chevy @ X106 @ X112 )
| ~ ~ ( ~ ( car @ X106 @ X112 )
| ~ ~ ( ~ ( white @ X106 @ X112 )
| ~ ~ ( ~ ( dirty @ X106 @ X112 )
| ~ ~ ( ~ ( old @ X106 @ X112 )
| ~ ~ ( ~ ( barrel @ X108 @ X106 @ X112 )
| ~ ~ ( ~ ( down @ X108 @ X107 @ X112 )
| ~ ~ ( ~ ( in @ X108 @ X109 @ X112 )
| ~ ~ ( ( qmltpeq @ X105 @ X104 @ X112 )
| ~ ~ ( ~ ( fellow @ X105 @ X112 )
| ~ ~ ( ~ ( man @ X105 @ X112 )
| ~ ~ ( ~ ( young @ X105 @ X112 )
| ~ ~ ( ~ ( fellow @ X104 @ X112 )
| ~ ~ ( ~ ( man @ X104 @ X112 )
| ~ ~ ( ~ ( young @ X104 @ X112 )
| ~ ~ ( ~ ( qmltpeq @ X105 @ X103 @ X112 )
| ~ ~ ( ~ ( in @ X103 @ X111 @ X112 )
| ~ ~ ( ~ ( qmltpeq @ X104 @ X102 @ X112 )
| ~ ( in @ X102 @ X110 @ X112 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_13,plain,
! [X112: $i] :
( ( epred4_1 @ X112 )
<=> ~ ( ~ ~ ! [X101: mu] :
( ( exists_in_world @ X101 @ X112 )
=> ~ ~ ! [X100: mu] :
( ( exists_in_world @ X100 @ X112 )
=> ~ ~ ! [X99: mu] :
( ( exists_in_world @ X99 @ X112 )
=> ~ ~ ! [X98: mu] :
( ( exists_in_world @ X98 @ X112 )
=> ~ ~ ! [X97: mu] :
( ( exists_in_world @ X97 @ X112 )
=> ~ ~ ! [X96: mu] :
( ( exists_in_world @ X96 @ X112 )
=> ~ ~ ! [X95: mu] :
( ( exists_in_world @ X95 @ X112 )
=> ~ ~ ! [X94: mu] :
( ( exists_in_world @ X94 @ X112 )
=> ~ ~ ! [X93: mu] :
( ( exists_in_world @ X93 @ X112 )
=> ~ ~ ! [X92: mu] :
( ( exists_in_world @ X92 @ X112 )
=> ~ ~ ( ~ ( seat @ X101 @ X112 )
| ~ ~ ( ~ ( furniture @ X101 @ X112 )
| ~ ~ ( ~ ( front @ X101 @ X112 )
| ~ ~ ( ~ ( seat @ X100 @ X112 )
| ~ ~ ( ~ ( furniture @ X100 @ X112 )
| ~ ~ ( ~ ( front @ X100 @ X112 )
| ~ ~ ( ~ ( hollywood @ X99 @ X112 )
| ~ ~ ( ~ ( city @ X99 @ X112 )
| ~ ~ ( ~ ( event @ X98 @ X112 )
| ~ ~ ( ~ ( chevy @ X97 @ X112 )
| ~ ~ ( ~ ( car @ X97 @ X112 )
| ~ ~ ( ~ ( white @ X97 @ X112 )
| ~ ~ ( ~ ( dirty @ X97 @ X112 )
| ~ ~ ( ~ ( old @ X97 @ X112 )
| ~ ~ ( ~ ( street @ X96 @ X112 )
| ~ ~ ( ~ ( way @ X96 @ X112 )
| ~ ~ ( ~ ( lonely @ X96 @ X112 )
| ~ ~ ( ~ ( barrel @ X98 @ X97 @ X112 )
| ~ ~ ( ~ ( down @ X98 @ X96 @ X112 )
| ~ ~ ( ~ ( in @ X98 @ X99 @ X112 )
| ~ ~ ( ( qmltpeq @ X95 @ X94 @ X112 )
| ~ ~ ( ~ ( fellow @ X95 @ X112 )
| ~ ~ ( ~ ( man @ X95 @ X112 )
| ~ ~ ( ~ ( young @ X95 @ X112 )
| ~ ~ ( ~ ( fellow @ X94 @ X112 )
| ~ ~ ( ~ ( man @ X94 @ X112 )
| ~ ~ ( ~ ( young @ X94 @ X112 )
| ~ ~ ( ~ ( qmltpeq @ X95 @ X93 @ X112 )
| ~ ~ ( ~ ( in @ X93 @ X101 @ X112 )
| ~ ~ ( ~ ( qmltpeq @ X94 @ X92 @ X112 )
| ~ ( in @ X92 @ X100 @ X112 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ! [X111: mu] :
( ( exists_in_world @ X111 @ X112 )
=> ~ ~ ! [X110: mu] :
( ( exists_in_world @ X110 @ X112 )
=> ~ ~ ! [X109: mu] :
( ( exists_in_world @ X109 @ X112 )
=> ~ ~ ! [X108: mu] :
( ( exists_in_world @ X108 @ X112 )
=> ~ ~ ! [X107: mu] :
( ( exists_in_world @ X107 @ X112 )
=> ~ ~ ! [X106: mu] :
( ( exists_in_world @ X106 @ X112 )
=> ~ ~ ! [X105: mu] :
( ( exists_in_world @ X105 @ X112 )
=> ~ ~ ! [X104: mu] :
( ( exists_in_world @ X104 @ X112 )
=> ~ ~ ! [X103: mu] :
( ( exists_in_world @ X103 @ X112 )
=> ~ ~ ! [X102: mu] :
( ( exists_in_world @ X102 @ X112 )
=> ~ ~ ( ~ ( seat @ X111 @ X112 )
| ~ ~ ( ~ ( furniture @ X111 @ X112 )
| ~ ~ ( ~ ( front @ X111 @ X112 )
| ~ ~ ( ~ ( seat @ X110 @ X112 )
| ~ ~ ( ~ ( furniture @ X110 @ X112 )
| ~ ~ ( ~ ( front @ X110 @ X112 )
| ~ ~ ( ~ ( hollywood @ X109 @ X112 )
| ~ ~ ( ~ ( city @ X109 @ X112 )
| ~ ~ ( ~ ( event @ X108 @ X112 )
| ~ ~ ( ~ ( street @ X107 @ X112 )
| ~ ~ ( ~ ( way @ X107 @ X112 )
| ~ ~ ( ~ ( lonely @ X107 @ X112 )
| ~ ~ ( ~ ( chevy @ X106 @ X112 )
| ~ ~ ( ~ ( car @ X106 @ X112 )
| ~ ~ ( ~ ( white @ X106 @ X112 )
| ~ ~ ( ~ ( dirty @ X106 @ X112 )
| ~ ~ ( ~ ( old @ X106 @ X112 )
| ~ ~ ( ~ ( barrel @ X108 @ X106 @ X112 )
| ~ ~ ( ~ ( down @ X108 @ X107 @ X112 )
| ~ ~ ( ~ ( in @ X108 @ X109 @ X112 )
| ~ ~ ( ( qmltpeq @ X105 @ X104 @ X112 )
| ~ ~ ( ~ ( fellow @ X105 @ X112 )
| ~ ~ ( ~ ( man @ X105 @ X112 )
| ~ ~ ( ~ ( young @ X105 @ X112 )
| ~ ~ ( ~ ( fellow @ X104 @ X112 )
| ~ ~ ( ~ ( man @ X104 @ X112 )
| ~ ~ ( ~ ( young @ X104 @ X112 )
| ~ ~ ( ~ ( qmltpeq @ X105 @ X103 @ X112 )
| ~ ~ ( ~ ( in @ X103 @ X111 @ X112 )
| ~ ~ ( ~ ( qmltpeq @ X104 @ X102 @ X112 )
| ~ ( in @ X102 @ X110 @ X112 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_14,plain,
! [X114: mu,X115: mu,X116: mu,X117: mu,X118: mu,X119: mu,X120: mu,X121: mu,X122: mu,X123: mu,X124: $i] :
( ~ ( epred1_11 @ X124 @ X123 @ X122 @ X119 @ X121 @ X118 @ X117 @ X115 @ X116 @ X120 @ X114 )
| ~ ( seat @ X123 @ X124 )
| ~ ( furniture @ X123 @ X124 )
| ~ ( front @ X123 @ X124 )
| ~ ( seat @ X122 @ X124 )
| ~ ( furniture @ X122 @ X124 )
| ~ ( front @ X122 @ X124 )
| ~ ( hollywood @ X121 @ X124 )
| ~ ( city @ X121 @ X124 )
| ~ ( event @ X120 @ X124 )
| ~ ( chevy @ X116 @ X124 )
| ~ ( car @ X116 @ X124 )
| ~ ( white @ X116 @ X124 )
| ~ ( dirty @ X116 @ X124 )
| ~ ( old @ X116 @ X124 )
| ~ ( street @ X115 @ X124 )
| ~ ( way @ X115 @ X124 )
| ~ ( lonely @ X115 @ X124 )
| ~ ( barrel @ X120 @ X116 @ X124 )
| ~ ( down @ X120 @ X115 @ X124 )
| ~ ( in @ X120 @ X121 @ X124 )
| ( qmltpeq @ X117 @ X118 @ X124 )
| ~ ( fellow @ X117 @ X124 )
| ~ ( man @ X117 @ X124 )
| ~ ( young @ X117 @ X124 )
| ~ ( fellow @ X118 @ X124 )
| ~ ( man @ X118 @ X124 )
| ~ ( young @ X118 @ X124 )
| ~ ( qmltpeq @ X117 @ X119 @ X124 )
| ~ ( in @ X119 @ X123 @ X124 )
| ~ ( qmltpeq @ X118 @ X114 @ X124 )
| ~ ( in @ X114 @ X122 @ X124 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
thf(c_0_15,plain,
! [X125: $i,X136: mu,X137: mu,X138: mu,X139: mu,X140: mu,X141: mu,X142: mu,X143: mu,X144: mu,X145: mu] :
( ( ( exists_in_world @ ( esk2_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( exists_in_world @ ( esk3_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( exists_in_world @ ( esk4_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( exists_in_world @ ( esk5_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( exists_in_world @ ( esk6_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( exists_in_world @ ( esk7_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( exists_in_world @ ( esk8_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( exists_in_world @ ( esk9_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( exists_in_world @ ( esk10_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( exists_in_world @ ( esk11_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( seat @ ( esk2_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( furniture @ ( esk2_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( front @ ( esk2_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( seat @ ( esk3_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( furniture @ ( esk3_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( front @ ( esk3_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( hollywood @ ( esk4_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( city @ ( esk4_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( event @ ( esk5_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( street @ ( esk6_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( way @ ( esk6_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( lonely @ ( esk6_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( chevy @ ( esk7_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( car @ ( esk7_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( white @ ( esk7_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( dirty @ ( esk7_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( old @ ( esk7_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( barrel @ ( esk5_1 @ X125 ) @ ( esk7_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( down @ ( esk5_1 @ X125 ) @ ( esk6_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( in @ ( esk5_1 @ X125 ) @ ( esk4_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ~ ( qmltpeq @ ( esk8_1 @ X125 ) @ ( esk9_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( fellow @ ( esk8_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( man @ ( esk8_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( young @ ( esk8_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( fellow @ ( esk9_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( man @ ( esk9_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( young @ ( esk9_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( qmltpeq @ ( esk8_1 @ X125 ) @ ( esk10_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( in @ ( esk10_1 @ X125 ) @ ( esk2_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( qmltpeq @ ( esk9_1 @ X125 ) @ ( esk11_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ( in @ ( esk11_1 @ X125 ) @ ( esk3_1 @ X125 ) @ X125 )
| ~ ( epred2_1 @ X125 ) )
& ( ~ ( exists_in_world @ X136 @ X125 )
| ~ ( exists_in_world @ X137 @ X125 )
| ~ ( exists_in_world @ X138 @ X125 )
| ~ ( exists_in_world @ X139 @ X125 )
| ~ ( exists_in_world @ X140 @ X125 )
| ~ ( exists_in_world @ X141 @ X125 )
| ~ ( exists_in_world @ X142 @ X125 )
| ~ ( exists_in_world @ X143 @ X125 )
| ~ ( exists_in_world @ X144 @ X125 )
| ~ ( exists_in_world @ X145 @ X125 )
| ( epred1_11 @ X125 @ X136 @ X137 @ X144 @ X138 @ X143 @ X142 @ X141 @ X140 @ X139 @ X145 )
| ~ ( epred2_1 @ X125 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])])]) ).
thf(c_0_16,plain,
! [X102: mu,X106: mu,X107: mu,X105: mu,X104: mu,X103: mu,X108: mu,X109: mu,X110: mu,X111: mu,X112: $i] :
( ( epred3_11 @ X112 @ X111 @ X110 @ X103 @ X109 @ X104 @ X105 @ X106 @ X107 @ X108 @ X102 )
=> ~ ~ ( ~ ( seat @ X111 @ X112 )
| ~ ~ ( ~ ( furniture @ X111 @ X112 )
| ~ ~ ( ~ ( front @ X111 @ X112 )
| ~ ~ ( ~ ( seat @ X110 @ X112 )
| ~ ~ ( ~ ( furniture @ X110 @ X112 )
| ~ ~ ( ~ ( front @ X110 @ X112 )
| ~ ~ ( ~ ( hollywood @ X109 @ X112 )
| ~ ~ ( ~ ( city @ X109 @ X112 )
| ~ ~ ( ~ ( event @ X108 @ X112 )
| ~ ~ ( ~ ( street @ X107 @ X112 )
| ~ ~ ( ~ ( way @ X107 @ X112 )
| ~ ~ ( ~ ( lonely @ X107 @ X112 )
| ~ ~ ( ~ ( chevy @ X106 @ X112 )
| ~ ~ ( ~ ( car @ X106 @ X112 )
| ~ ~ ( ~ ( white @ X106 @ X112 )
| ~ ~ ( ~ ( dirty @ X106 @ X112 )
| ~ ~ ( ~ ( old @ X106 @ X112 )
| ~ ~ ( ~ ( barrel @ X108 @ X106 @ X112 )
| ~ ~ ( ~ ( down @ X108 @ X107 @ X112 )
| ~ ~ ( ~ ( in @ X108 @ X109 @ X112 )
| ~ ~ ( ( qmltpeq @ X105 @ X104 @ X112 )
| ~ ~ ( ~ ( fellow @ X105 @ X112 )
| ~ ~ ( ~ ( man @ X105 @ X112 )
| ~ ~ ( ~ ( young @ X105 @ X112 )
| ~ ~ ( ~ ( fellow @ X104 @ X112 )
| ~ ~ ( ~ ( man @ X104 @ X112 )
| ~ ~ ( ~ ( young @ X104 @ X112 )
| ~ ~ ( ~ ( qmltpeq @ X105 @ X103 @ X112 )
| ~ ~ ( ~ ( in @ X103 @ X111 @ X112 )
| ~ ~ ( ~ ( qmltpeq @ X104 @ X102 @ X112 )
| ~ ( in @ X102 @ X110 @ X112 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_12]) ).
thf(c_0_17,plain,
! [X112: $i] :
( ( epred4_1 @ X112 )
=> ~ ( ~ ~ ! [X101: mu] :
( ( exists_in_world @ X101 @ X112 )
=> ~ ~ ! [X100: mu] :
( ( exists_in_world @ X100 @ X112 )
=> ~ ~ ! [X99: mu] :
( ( exists_in_world @ X99 @ X112 )
=> ~ ~ ! [X98: mu] :
( ( exists_in_world @ X98 @ X112 )
=> ~ ~ ! [X97: mu] :
( ( exists_in_world @ X97 @ X112 )
=> ~ ~ ! [X96: mu] :
( ( exists_in_world @ X96 @ X112 )
=> ~ ~ ! [X95: mu] :
( ( exists_in_world @ X95 @ X112 )
=> ~ ~ ! [X94: mu] :
( ( exists_in_world @ X94 @ X112 )
=> ~ ~ ! [X93: mu] :
( ( exists_in_world @ X93 @ X112 )
=> ~ ~ ! [X92: mu] :
( ( exists_in_world @ X92 @ X112 )
=> ~ ~ ( ~ ( seat @ X101 @ X112 )
| ~ ~ ( ~ ( furniture @ X101 @ X112 )
| ~ ~ ( ~ ( front @ X101 @ X112 )
| ~ ~ ( ~ ( seat @ X100 @ X112 )
| ~ ~ ( ~ ( furniture @ X100 @ X112 )
| ~ ~ ( ~ ( front @ X100 @ X112 )
| ~ ~ ( ~ ( hollywood @ X99 @ X112 )
| ~ ~ ( ~ ( city @ X99 @ X112 )
| ~ ~ ( ~ ( event @ X98 @ X112 )
| ~ ~ ( ~ ( chevy @ X97 @ X112 )
| ~ ~ ( ~ ( car @ X97 @ X112 )
| ~ ~ ( ~ ( white @ X97 @ X112 )
| ~ ~ ( ~ ( dirty @ X97 @ X112 )
| ~ ~ ( ~ ( old @ X97 @ X112 )
| ~ ~ ( ~ ( street @ X96 @ X112 )
| ~ ~ ( ~ ( way @ X96 @ X112 )
| ~ ~ ( ~ ( lonely @ X96 @ X112 )
| ~ ~ ( ~ ( barrel @ X98 @ X97 @ X112 )
| ~ ~ ( ~ ( down @ X98 @ X96 @ X112 )
| ~ ~ ( ~ ( in @ X98 @ X99 @ X112 )
| ~ ~ ( ( qmltpeq @ X95 @ X94 @ X112 )
| ~ ~ ( ~ ( fellow @ X95 @ X112 )
| ~ ~ ( ~ ( man @ X95 @ X112 )
| ~ ~ ( ~ ( young @ X95 @ X112 )
| ~ ~ ( ~ ( fellow @ X94 @ X112 )
| ~ ~ ( ~ ( man @ X94 @ X112 )
| ~ ~ ( ~ ( young @ X94 @ X112 )
| ~ ~ ( ~ ( qmltpeq @ X95 @ X93 @ X112 )
| ~ ~ ( ~ ( in @ X93 @ X101 @ X112 )
| ~ ~ ( ~ ( qmltpeq @ X94 @ X92 @ X112 )
| ~ ( in @ X92 @ X100 @ X112 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ! [X111: mu] :
( ( exists_in_world @ X111 @ X112 )
=> ~ ~ ! [X110: mu] :
( ( exists_in_world @ X110 @ X112 )
=> ~ ~ ! [X109: mu] :
( ( exists_in_world @ X109 @ X112 )
=> ~ ~ ! [X108: mu] :
( ( exists_in_world @ X108 @ X112 )
=> ~ ~ ! [X107: mu] :
( ( exists_in_world @ X107 @ X112 )
=> ~ ~ ! [X106: mu] :
( ( exists_in_world @ X106 @ X112 )
=> ~ ~ ! [X105: mu] :
( ( exists_in_world @ X105 @ X112 )
=> ~ ~ ! [X104: mu] :
( ( exists_in_world @ X104 @ X112 )
=> ~ ~ ! [X103: mu] :
( ( exists_in_world @ X103 @ X112 )
=> ~ ~ ! [X102: mu] :
( ( exists_in_world @ X102 @ X112 )
=> ( epred3_11 @ X112 @ X111 @ X110 @ X103 @ X109 @ X104 @ X105 @ X106 @ X107 @ X108 @ X102 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_13]),c_0_12]) ).
thf(c_0_18,plain,
! [X19: mu,X20: mu,X14: mu,X23: mu,X22: mu,X24: mu,X25: mu,X21: mu,X12: mu,X10: mu,X3: $i] :
( ( qmltpeq @ X21 @ X20 @ X3 )
| ~ ( epred1_11 @ X3 @ X10 @ X12 @ X14 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 )
| ~ ( seat @ X10 @ X3 )
| ~ ( furniture @ X10 @ X3 )
| ~ ( front @ X10 @ X3 )
| ~ ( seat @ X12 @ X3 )
| ~ ( furniture @ X12 @ X3 )
| ~ ( front @ X12 @ X3 )
| ~ ( hollywood @ X19 @ X3 )
| ~ ( city @ X19 @ X3 )
| ~ ( event @ X24 @ X3 )
| ~ ( chevy @ X23 @ X3 )
| ~ ( car @ X23 @ X3 )
| ~ ( white @ X23 @ X3 )
| ~ ( dirty @ X23 @ X3 )
| ~ ( old @ X23 @ X3 )
| ~ ( street @ X22 @ X3 )
| ~ ( way @ X22 @ X3 )
| ~ ( lonely @ X22 @ X3 )
| ~ ( barrel @ X24 @ X23 @ X3 )
| ~ ( down @ X24 @ X22 @ X3 )
| ~ ( in @ X24 @ X19 @ X3 )
| ~ ( fellow @ X21 @ X3 )
| ~ ( man @ X21 @ X3 )
| ~ ( young @ X21 @ X3 )
| ~ ( fellow @ X20 @ X3 )
| ~ ( man @ X20 @ X3 )
| ~ ( young @ X20 @ X3 )
| ~ ( qmltpeq @ X21 @ X14 @ X3 )
| ~ ( in @ X14 @ X10 @ X3 )
| ~ ( qmltpeq @ X20 @ X25 @ X3 )
| ~ ( in @ X25 @ X12 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_19,plain,
! [X12: mu,X14: mu,X19: mu,X20: mu,X21: mu,X22: mu,X23: mu,X24: mu,X25: mu,X10: mu,X3: $i] :
( ( epred1_11 @ X3 @ X10 @ X12 @ X24 @ X14 @ X23 @ X22 @ X21 @ X20 @ X19 @ X25 )
| ~ ( exists_in_world @ X10 @ X3 )
| ~ ( exists_in_world @ X12 @ X3 )
| ~ ( exists_in_world @ X14 @ X3 )
| ~ ( exists_in_world @ X19 @ X3 )
| ~ ( exists_in_world @ X20 @ X3 )
| ~ ( exists_in_world @ X21 @ X3 )
| ~ ( exists_in_world @ X22 @ X3 )
| ~ ( exists_in_world @ X23 @ X3 )
| ~ ( exists_in_world @ X24 @ X3 )
| ~ ( exists_in_world @ X25 @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_20,plain,
! [X146: mu,X147: mu,X148: mu,X149: mu,X150: mu,X151: mu,X152: mu,X153: mu,X154: mu,X155: mu,X156: $i] :
( ~ ( epred3_11 @ X156 @ X155 @ X154 @ X151 @ X153 @ X150 @ X149 @ X147 @ X148 @ X152 @ X146 )
| ~ ( seat @ X155 @ X156 )
| ~ ( furniture @ X155 @ X156 )
| ~ ( front @ X155 @ X156 )
| ~ ( seat @ X154 @ X156 )
| ~ ( furniture @ X154 @ X156 )
| ~ ( front @ X154 @ X156 )
| ~ ( hollywood @ X153 @ X156 )
| ~ ( city @ X153 @ X156 )
| ~ ( event @ X152 @ X156 )
| ~ ( street @ X148 @ X156 )
| ~ ( way @ X148 @ X156 )
| ~ ( lonely @ X148 @ X156 )
| ~ ( chevy @ X147 @ X156 )
| ~ ( car @ X147 @ X156 )
| ~ ( white @ X147 @ X156 )
| ~ ( dirty @ X147 @ X156 )
| ~ ( old @ X147 @ X156 )
| ~ ( barrel @ X152 @ X147 @ X156 )
| ~ ( down @ X152 @ X148 @ X156 )
| ~ ( in @ X152 @ X153 @ X156 )
| ( qmltpeq @ X149 @ X150 @ X156 )
| ~ ( fellow @ X149 @ X156 )
| ~ ( man @ X149 @ X156 )
| ~ ( young @ X149 @ X156 )
| ~ ( fellow @ X150 @ X156 )
| ~ ( man @ X150 @ X156 )
| ~ ( young @ X150 @ X156 )
| ~ ( qmltpeq @ X149 @ X151 @ X156 )
| ~ ( in @ X151 @ X155 @ X156 )
| ~ ( qmltpeq @ X150 @ X146 @ X156 )
| ~ ( in @ X146 @ X154 @ X156 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
thf(c_0_21,plain,
! [X157: $i,X168: mu,X169: mu,X170: mu,X171: mu,X172: mu,X173: mu,X174: mu,X175: mu,X176: mu,X177: mu] :
( ( ( exists_in_world @ ( esk12_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( exists_in_world @ ( esk13_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( exists_in_world @ ( esk14_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( exists_in_world @ ( esk15_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( exists_in_world @ ( esk16_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( exists_in_world @ ( esk17_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( exists_in_world @ ( esk18_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( exists_in_world @ ( esk19_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( exists_in_world @ ( esk20_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( exists_in_world @ ( esk21_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( seat @ ( esk12_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( furniture @ ( esk12_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( front @ ( esk12_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( seat @ ( esk13_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( furniture @ ( esk13_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( front @ ( esk13_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( hollywood @ ( esk14_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( city @ ( esk14_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( event @ ( esk15_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( chevy @ ( esk16_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( car @ ( esk16_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( white @ ( esk16_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( dirty @ ( esk16_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( old @ ( esk16_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( street @ ( esk17_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( way @ ( esk17_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( lonely @ ( esk17_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( barrel @ ( esk15_1 @ X157 ) @ ( esk16_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( down @ ( esk15_1 @ X157 ) @ ( esk17_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( in @ ( esk15_1 @ X157 ) @ ( esk14_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ~ ( qmltpeq @ ( esk18_1 @ X157 ) @ ( esk19_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( fellow @ ( esk18_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( man @ ( esk18_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( young @ ( esk18_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( fellow @ ( esk19_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( man @ ( esk19_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( young @ ( esk19_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( qmltpeq @ ( esk18_1 @ X157 ) @ ( esk20_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( in @ ( esk20_1 @ X157 ) @ ( esk12_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( qmltpeq @ ( esk19_1 @ X157 ) @ ( esk21_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ( in @ ( esk21_1 @ X157 ) @ ( esk13_1 @ X157 ) @ X157 )
| ~ ( epred4_1 @ X157 ) )
& ( ~ ( exists_in_world @ X168 @ X157 )
| ~ ( exists_in_world @ X169 @ X157 )
| ~ ( exists_in_world @ X170 @ X157 )
| ~ ( exists_in_world @ X171 @ X157 )
| ~ ( exists_in_world @ X172 @ X157 )
| ~ ( exists_in_world @ X173 @ X157 )
| ~ ( exists_in_world @ X174 @ X157 )
| ~ ( exists_in_world @ X175 @ X157 )
| ~ ( exists_in_world @ X176 @ X157 )
| ~ ( exists_in_world @ X177 @ X157 )
| ( epred3_11 @ X157 @ X168 @ X169 @ X176 @ X170 @ X175 @ X174 @ X173 @ X172 @ X171 @ X177 )
| ~ ( epred4_1 @ X157 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])])]) ).
thf(c_0_22,plain,
! [X12: mu,X14: mu,X19: mu,X20: mu,X22: mu,X21: mu,X25: mu,X24: mu,X23: mu,X10: mu,X3: $i] :
( ( qmltpeq @ X10 @ X12 @ X3 )
| ~ ( qmltpeq @ X10 @ X14 @ X3 )
| ~ ( qmltpeq @ X12 @ X19 @ X3 )
| ~ ( in @ X19 @ X20 @ X3 )
| ~ ( in @ X21 @ X22 @ X3 )
| ~ ( in @ X14 @ X23 @ X3 )
| ~ ( down @ X21 @ X24 @ X3 )
| ~ ( barrel @ X21 @ X25 @ X3 )
| ~ ( young @ X10 @ X3 )
| ~ ( young @ X12 @ X3 )
| ~ ( man @ X10 @ X3 )
| ~ ( man @ X12 @ X3 )
| ~ ( fellow @ X10 @ X3 )
| ~ ( fellow @ X12 @ X3 )
| ~ ( old @ X25 @ X3 )
| ~ ( dirty @ X25 @ X3 )
| ~ ( white @ X25 @ X3 )
| ~ ( car @ X25 @ X3 )
| ~ ( chevy @ X25 @ X3 )
| ~ ( lonely @ X24 @ X3 )
| ~ ( way @ X24 @ X3 )
| ~ ( street @ X24 @ X3 )
| ~ ( event @ X21 @ X3 )
| ~ ( city @ X22 @ X3 )
| ~ ( hollywood @ X22 @ X3 )
| ~ ( front @ X20 @ X3 )
| ~ ( front @ X23 @ X3 )
| ~ ( furniture @ X20 @ X3 )
| ~ ( furniture @ X23 @ X3 )
| ~ ( seat @ X20 @ X3 )
| ~ ( seat @ X23 @ X3 )
| ~ ( exists_in_world @ X19 @ X3 )
| ~ ( exists_in_world @ X14 @ X3 )
| ~ ( exists_in_world @ X12 @ X3 )
| ~ ( exists_in_world @ X10 @ X3 )
| ~ ( exists_in_world @ X24 @ X3 )
| ~ ( exists_in_world @ X25 @ X3 )
| ~ ( exists_in_world @ X21 @ X3 )
| ~ ( exists_in_world @ X22 @ X3 )
| ~ ( exists_in_world @ X20 @ X3 )
| ~ ( exists_in_world @ X23 @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_23,plain,
! [X3: $i] :
( ( in @ ( esk11_1 @ X3 ) @ ( esk3_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_24,plain,
! [X3: $i] :
( ( exists_in_world @ ( esk3_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_25,plain,
! [X3: $i] :
( ( exists_in_world @ ( esk11_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_26,plain,
! [X3: $i] :
( ( seat @ ( esk3_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_27,plain,
! [X3: $i] :
( ( furniture @ ( esk3_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_28,plain,
! [X3: $i] :
( ( front @ ( esk3_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_29,plain,
! [X19: mu,X20: mu,X14: mu,X23: mu,X22: mu,X24: mu,X25: mu,X21: mu,X12: mu,X10: mu,X3: $i] :
( ( qmltpeq @ X21 @ X20 @ X3 )
| ~ ( epred3_11 @ X3 @ X10 @ X12 @ X14 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 )
| ~ ( seat @ X10 @ X3 )
| ~ ( furniture @ X10 @ X3 )
| ~ ( front @ X10 @ X3 )
| ~ ( seat @ X12 @ X3 )
| ~ ( furniture @ X12 @ X3 )
| ~ ( front @ X12 @ X3 )
| ~ ( hollywood @ X19 @ X3 )
| ~ ( city @ X19 @ X3 )
| ~ ( event @ X24 @ X3 )
| ~ ( street @ X23 @ X3 )
| ~ ( way @ X23 @ X3 )
| ~ ( lonely @ X23 @ X3 )
| ~ ( chevy @ X22 @ X3 )
| ~ ( car @ X22 @ X3 )
| ~ ( white @ X22 @ X3 )
| ~ ( dirty @ X22 @ X3 )
| ~ ( old @ X22 @ X3 )
| ~ ( barrel @ X24 @ X22 @ X3 )
| ~ ( down @ X24 @ X23 @ X3 )
| ~ ( in @ X24 @ X19 @ X3 )
| ~ ( fellow @ X21 @ X3 )
| ~ ( man @ X21 @ X3 )
| ~ ( young @ X21 @ X3 )
| ~ ( fellow @ X20 @ X3 )
| ~ ( man @ X20 @ X3 )
| ~ ( young @ X20 @ X3 )
| ~ ( qmltpeq @ X21 @ X14 @ X3 )
| ~ ( in @ X14 @ X10 @ X3 )
| ~ ( qmltpeq @ X20 @ X25 @ X3 )
| ~ ( in @ X25 @ X12 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_30,plain,
! [X12: mu,X14: mu,X19: mu,X20: mu,X21: mu,X22: mu,X23: mu,X24: mu,X25: mu,X10: mu,X3: $i] :
( ( epred3_11 @ X3 @ X10 @ X12 @ X24 @ X14 @ X23 @ X22 @ X21 @ X20 @ X19 @ X25 )
| ~ ( exists_in_world @ X10 @ X3 )
| ~ ( exists_in_world @ X12 @ X3 )
| ~ ( exists_in_world @ X14 @ X3 )
| ~ ( exists_in_world @ X19 @ X3 )
| ~ ( exists_in_world @ X20 @ X3 )
| ~ ( exists_in_world @ X21 @ X3 )
| ~ ( exists_in_world @ X22 @ X3 )
| ~ ( exists_in_world @ X23 @ X3 )
| ~ ( exists_in_world @ X24 @ X3 )
| ~ ( exists_in_world @ X25 @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_31,plain,
! [X12: mu,X14: mu,X19: mu,X20: mu,X23: mu,X22: mu,X21: mu,X10: mu,X3: $i] :
( ( qmltpeq @ X10 @ X12 @ X3 )
| ~ ( qmltpeq @ X12 @ ( esk11_1 @ X3 ) @ X3 )
| ~ ( qmltpeq @ X10 @ X14 @ X3 )
| ~ ( in @ X19 @ X20 @ X3 )
| ~ ( in @ X14 @ X21 @ X3 )
| ~ ( down @ X19 @ X22 @ X3 )
| ~ ( barrel @ X19 @ X23 @ X3 )
| ~ ( young @ X10 @ X3 )
| ~ ( young @ X12 @ X3 )
| ~ ( man @ X10 @ X3 )
| ~ ( man @ X12 @ X3 )
| ~ ( fellow @ X10 @ X3 )
| ~ ( fellow @ X12 @ X3 )
| ~ ( old @ X23 @ X3 )
| ~ ( dirty @ X23 @ X3 )
| ~ ( white @ X23 @ X3 )
| ~ ( car @ X23 @ X3 )
| ~ ( chevy @ X23 @ X3 )
| ~ ( lonely @ X22 @ X3 )
| ~ ( way @ X22 @ X3 )
| ~ ( street @ X22 @ X3 )
| ~ ( event @ X19 @ X3 )
| ~ ( city @ X20 @ X3 )
| ~ ( hollywood @ X20 @ X3 )
| ~ ( front @ X21 @ X3 )
| ~ ( furniture @ X21 @ X3 )
| ~ ( seat @ X21 @ X3 )
| ~ ( exists_in_world @ X14 @ X3 )
| ~ ( exists_in_world @ X12 @ X3 )
| ~ ( exists_in_world @ X10 @ X3 )
| ~ ( exists_in_world @ X22 @ X3 )
| ~ ( exists_in_world @ X23 @ X3 )
| ~ ( exists_in_world @ X19 @ X3 )
| ~ ( exists_in_world @ X20 @ X3 )
| ~ ( exists_in_world @ X21 @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]) ).
thf(c_0_32,plain,
! [X3: $i] :
( ( qmltpeq @ ( esk9_1 @ X3 ) @ ( esk11_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_33,plain,
! [X3: $i] :
( ( exists_in_world @ ( esk9_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_34,plain,
! [X3: $i] :
( ( fellow @ ( esk9_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_35,plain,
! [X3: $i] :
( ( man @ ( esk9_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_36,plain,
! [X3: $i] :
( ( young @ ( esk9_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_37,plain,
! [X12: mu,X14: mu,X19: mu,X20: mu,X22: mu,X21: mu,X25: mu,X24: mu,X23: mu,X10: mu,X3: $i] :
( ( qmltpeq @ X10 @ X12 @ X3 )
| ~ ( qmltpeq @ X10 @ X14 @ X3 )
| ~ ( qmltpeq @ X12 @ X19 @ X3 )
| ~ ( in @ X19 @ X20 @ X3 )
| ~ ( in @ X21 @ X22 @ X3 )
| ~ ( in @ X14 @ X23 @ X3 )
| ~ ( down @ X21 @ X24 @ X3 )
| ~ ( barrel @ X21 @ X25 @ X3 )
| ~ ( young @ X10 @ X3 )
| ~ ( young @ X12 @ X3 )
| ~ ( man @ X10 @ X3 )
| ~ ( man @ X12 @ X3 )
| ~ ( fellow @ X10 @ X3 )
| ~ ( fellow @ X12 @ X3 )
| ~ ( old @ X25 @ X3 )
| ~ ( dirty @ X25 @ X3 )
| ~ ( white @ X25 @ X3 )
| ~ ( car @ X25 @ X3 )
| ~ ( chevy @ X25 @ X3 )
| ~ ( lonely @ X24 @ X3 )
| ~ ( way @ X24 @ X3 )
| ~ ( street @ X24 @ X3 )
| ~ ( event @ X21 @ X3 )
| ~ ( city @ X22 @ X3 )
| ~ ( hollywood @ X22 @ X3 )
| ~ ( front @ X20 @ X3 )
| ~ ( front @ X23 @ X3 )
| ~ ( furniture @ X20 @ X3 )
| ~ ( furniture @ X23 @ X3 )
| ~ ( seat @ X20 @ X3 )
| ~ ( seat @ X23 @ X3 )
| ~ ( exists_in_world @ X19 @ X3 )
| ~ ( exists_in_world @ X14 @ X3 )
| ~ ( exists_in_world @ X12 @ X3 )
| ~ ( exists_in_world @ X10 @ X3 )
| ~ ( exists_in_world @ X25 @ X3 )
| ~ ( exists_in_world @ X24 @ X3 )
| ~ ( exists_in_world @ X21 @ X3 )
| ~ ( exists_in_world @ X22 @ X3 )
| ~ ( exists_in_world @ X20 @ X3 )
| ~ ( exists_in_world @ X23 @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_38,plain,
! [X3: $i] :
( ( in @ ( esk21_1 @ X3 ) @ ( esk13_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_39,plain,
! [X3: $i] :
( ( exists_in_world @ ( esk13_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_40,plain,
! [X3: $i] :
( ( exists_in_world @ ( esk21_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_41,plain,
! [X3: $i] :
( ( seat @ ( esk13_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_42,plain,
! [X3: $i] :
( ( furniture @ ( esk13_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_43,plain,
! [X3: $i] :
( ( front @ ( esk13_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_44,plain,
! [X12: mu,X14: mu,X19: mu,X22: mu,X21: mu,X20: mu,X10: mu,X3: $i] :
( ( qmltpeq @ X10 @ ( esk9_1 @ X3 ) @ X3 )
| ~ ( qmltpeq @ X10 @ X12 @ X3 )
| ~ ( in @ X14 @ X19 @ X3 )
| ~ ( in @ X12 @ X20 @ X3 )
| ~ ( down @ X14 @ X21 @ X3 )
| ~ ( barrel @ X14 @ X22 @ X3 )
| ~ ( young @ X10 @ X3 )
| ~ ( man @ X10 @ X3 )
| ~ ( fellow @ X10 @ X3 )
| ~ ( old @ X22 @ X3 )
| ~ ( dirty @ X22 @ X3 )
| ~ ( white @ X22 @ X3 )
| ~ ( car @ X22 @ X3 )
| ~ ( chevy @ X22 @ X3 )
| ~ ( lonely @ X21 @ X3 )
| ~ ( way @ X21 @ X3 )
| ~ ( street @ X21 @ X3 )
| ~ ( event @ X14 @ X3 )
| ~ ( city @ X19 @ X3 )
| ~ ( hollywood @ X19 @ X3 )
| ~ ( front @ X20 @ X3 )
| ~ ( furniture @ X20 @ X3 )
| ~ ( seat @ X20 @ X3 )
| ~ ( exists_in_world @ X12 @ X3 )
| ~ ( exists_in_world @ X10 @ X3 )
| ~ ( exists_in_world @ X21 @ X3 )
| ~ ( exists_in_world @ X22 @ X3 )
| ~ ( exists_in_world @ X14 @ X3 )
| ~ ( exists_in_world @ X19 @ X3 )
| ~ ( exists_in_world @ X20 @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]) ).
thf(c_0_45,plain,
! [X3: $i] :
( ( in @ ( esk5_1 @ X3 ) @ ( esk4_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_46,plain,
! [X3: $i] :
( ( exists_in_world @ ( esk4_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_47,plain,
! [X3: $i] :
( ( exists_in_world @ ( esk5_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_48,plain,
! [X3: $i] :
( ( hollywood @ ( esk4_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_49,plain,
! [X3: $i] :
( ( city @ ( esk4_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_50,plain,
! [X3: $i] :
( ( event @ ( esk5_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_51,plain,
! [X12: mu,X14: mu,X19: mu,X20: mu,X23: mu,X22: mu,X21: mu,X10: mu,X3: $i] :
( ( qmltpeq @ X10 @ X12 @ X3 )
| ~ ( qmltpeq @ X12 @ ( esk21_1 @ X3 ) @ X3 )
| ~ ( qmltpeq @ X10 @ X14 @ X3 )
| ~ ( in @ X19 @ X20 @ X3 )
| ~ ( in @ X14 @ X21 @ X3 )
| ~ ( down @ X19 @ X22 @ X3 )
| ~ ( barrel @ X19 @ X23 @ X3 )
| ~ ( young @ X10 @ X3 )
| ~ ( young @ X12 @ X3 )
| ~ ( man @ X10 @ X3 )
| ~ ( man @ X12 @ X3 )
| ~ ( fellow @ X10 @ X3 )
| ~ ( fellow @ X12 @ X3 )
| ~ ( old @ X23 @ X3 )
| ~ ( dirty @ X23 @ X3 )
| ~ ( white @ X23 @ X3 )
| ~ ( car @ X23 @ X3 )
| ~ ( chevy @ X23 @ X3 )
| ~ ( lonely @ X22 @ X3 )
| ~ ( way @ X22 @ X3 )
| ~ ( street @ X22 @ X3 )
| ~ ( event @ X19 @ X3 )
| ~ ( city @ X20 @ X3 )
| ~ ( hollywood @ X20 @ X3 )
| ~ ( front @ X21 @ X3 )
| ~ ( furniture @ X21 @ X3 )
| ~ ( seat @ X21 @ X3 )
| ~ ( exists_in_world @ X14 @ X3 )
| ~ ( exists_in_world @ X12 @ X3 )
| ~ ( exists_in_world @ X10 @ X3 )
| ~ ( exists_in_world @ X23 @ X3 )
| ~ ( exists_in_world @ X22 @ X3 )
| ~ ( exists_in_world @ X19 @ X3 )
| ~ ( exists_in_world @ X20 @ X3 )
| ~ ( exists_in_world @ X21 @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43]) ).
thf(c_0_52,plain,
! [X3: $i] :
( ( qmltpeq @ ( esk19_1 @ X3 ) @ ( esk21_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_53,plain,
! [X3: $i] :
( ( exists_in_world @ ( esk19_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_54,plain,
! [X3: $i] :
( ( fellow @ ( esk19_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_55,plain,
! [X3: $i] :
( ( man @ ( esk19_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_56,plain,
! [X3: $i] :
( ( young @ ( esk19_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_57,plain,
( mand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
~ ( ~ ( Z0 @ Z2 )
| ~ ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mand]) ).
thf(c_0_58,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
thf(c_0_59,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_60,plain,
( mexists_ind
= ( ^ [Z0: mu > $i > $o,Z1: $i] :
~ ! [X69: mu] :
( ( exists_in_world @ X69 @ Z1 )
=> ~ ( Z0 @ X69 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[mexists_ind]) ).
thf(c_0_61,plain,
( mforall_ind
= ( ^ [Z0: mu > $i > $o,Z1: $i] :
! [X12: mu] :
( ( exists_in_world @ X12 @ Z1 )
=> ( Z0 @ X12 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[mforall_ind]) ).
thf(c_0_62,plain,
( mimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies]) ).
thf(c_0_63,plain,
! [X12: mu,X14: mu,X19: mu,X20: mu,X10: mu,X3: $i] :
( ( qmltpeq @ X10 @ ( esk9_1 @ X3 ) @ X3 )
| ~ ( down @ ( esk5_1 @ X3 ) @ X12 @ X3 )
| ~ ( barrel @ ( esk5_1 @ X3 ) @ X14 @ X3 )
| ~ ( qmltpeq @ X10 @ X19 @ X3 )
| ~ ( in @ X19 @ X20 @ X3 )
| ~ ( young @ X10 @ X3 )
| ~ ( man @ X10 @ X3 )
| ~ ( fellow @ X10 @ X3 )
| ~ ( old @ X14 @ X3 )
| ~ ( dirty @ X14 @ X3 )
| ~ ( white @ X14 @ X3 )
| ~ ( car @ X14 @ X3 )
| ~ ( chevy @ X14 @ X3 )
| ~ ( lonely @ X12 @ X3 )
| ~ ( way @ X12 @ X3 )
| ~ ( street @ X12 @ X3 )
| ~ ( front @ X20 @ X3 )
| ~ ( furniture @ X20 @ X3 )
| ~ ( seat @ X20 @ X3 )
| ~ ( exists_in_world @ X19 @ X3 )
| ~ ( exists_in_world @ X10 @ X3 )
| ~ ( exists_in_world @ X12 @ X3 )
| ~ ( exists_in_world @ X14 @ X3 )
| ~ ( exists_in_world @ X20 @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]) ).
thf(c_0_64,plain,
! [X3: $i] :
( ( down @ ( esk5_1 @ X3 ) @ ( esk6_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_65,plain,
! [X3: $i] :
( ( exists_in_world @ ( esk6_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_66,plain,
! [X3: $i] :
( ( street @ ( esk6_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_67,plain,
! [X3: $i] :
( ( way @ ( esk6_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_68,plain,
! [X3: $i] :
( ( lonely @ ( esk6_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_69,plain,
! [X12: mu,X14: mu,X19: mu,X22: mu,X21: mu,X20: mu,X10: mu,X3: $i] :
( ( qmltpeq @ X10 @ ( esk19_1 @ X3 ) @ X3 )
| ~ ( qmltpeq @ X10 @ X12 @ X3 )
| ~ ( in @ X14 @ X19 @ X3 )
| ~ ( in @ X12 @ X20 @ X3 )
| ~ ( down @ X14 @ X21 @ X3 )
| ~ ( barrel @ X14 @ X22 @ X3 )
| ~ ( young @ X10 @ X3 )
| ~ ( man @ X10 @ X3 )
| ~ ( fellow @ X10 @ X3 )
| ~ ( old @ X22 @ X3 )
| ~ ( dirty @ X22 @ X3 )
| ~ ( white @ X22 @ X3 )
| ~ ( car @ X22 @ X3 )
| ~ ( chevy @ X22 @ X3 )
| ~ ( lonely @ X21 @ X3 )
| ~ ( way @ X21 @ X3 )
| ~ ( street @ X21 @ X3 )
| ~ ( event @ X14 @ X3 )
| ~ ( city @ X19 @ X3 )
| ~ ( hollywood @ X19 @ X3 )
| ~ ( front @ X20 @ X3 )
| ~ ( furniture @ X20 @ X3 )
| ~ ( seat @ X20 @ X3 )
| ~ ( exists_in_world @ X12 @ X3 )
| ~ ( exists_in_world @ X10 @ X3 )
| ~ ( exists_in_world @ X22 @ X3 )
| ~ ( exists_in_world @ X21 @ X3 )
| ~ ( exists_in_world @ X14 @ X3 )
| ~ ( exists_in_world @ X19 @ X3 )
| ~ ( exists_in_world @ X20 @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56]) ).
thf(c_0_70,plain,
! [X3: $i] :
( ( in @ ( esk15_1 @ X3 ) @ ( esk14_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_71,plain,
! [X3: $i] :
( ( exists_in_world @ ( esk14_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_72,plain,
! [X3: $i] :
( ( exists_in_world @ ( esk15_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_73,plain,
! [X3: $i] :
( ( hollywood @ ( esk14_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_74,plain,
! [X3: $i] :
( ( city @ ( esk14_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_75,plain,
! [X3: $i] :
( ( event @ ( esk15_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_76,plain,
( mand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
~ ( ~ ( Z0 @ Z2 )
| ~ ( Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).
thf(c_0_77,plain,
( mexists_ind
= ( ^ [Z0: mu > $i > $o,Z1: $i] :
~ ! [X69: mu] :
( ( exists_in_world @ X69 @ Z1 )
=> ~ ( Z0 @ X69 @ Z1 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_60,c_0_61]),c_0_59]) ).
thf(c_0_78,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X3: $i] : ( Z0 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_79,plain,
( mimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_62,c_0_58]),c_0_59]) ).
thf(c_0_80,plain,
! [X12: mu,X14: mu,X19: mu,X10: mu,X3: $i] :
( ( qmltpeq @ X10 @ ( esk9_1 @ X3 ) @ X3 )
| ~ ( barrel @ ( esk5_1 @ X3 ) @ X12 @ X3 )
| ~ ( qmltpeq @ X10 @ X14 @ X3 )
| ~ ( in @ X14 @ X19 @ X3 )
| ~ ( young @ X10 @ X3 )
| ~ ( man @ X10 @ X3 )
| ~ ( fellow @ X10 @ X3 )
| ~ ( old @ X12 @ X3 )
| ~ ( dirty @ X12 @ X3 )
| ~ ( white @ X12 @ X3 )
| ~ ( car @ X12 @ X3 )
| ~ ( chevy @ X12 @ X3 )
| ~ ( front @ X19 @ X3 )
| ~ ( furniture @ X19 @ X3 )
| ~ ( seat @ X19 @ X3 )
| ~ ( exists_in_world @ X14 @ X3 )
| ~ ( exists_in_world @ X10 @ X3 )
| ~ ( exists_in_world @ X12 @ X3 )
| ~ ( exists_in_world @ X19 @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),c_0_66]),c_0_67]),c_0_68]) ).
thf(c_0_81,plain,
! [X3: $i] :
( ( barrel @ ( esk5_1 @ X3 ) @ ( esk7_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_82,plain,
! [X3: $i] :
( ( exists_in_world @ ( esk7_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_83,plain,
! [X3: $i] :
( ( chevy @ ( esk7_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_84,plain,
! [X3: $i] :
( ( car @ ( esk7_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_85,plain,
! [X3: $i] :
( ( white @ ( esk7_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_86,plain,
! [X3: $i] :
( ( dirty @ ( esk7_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_87,plain,
! [X3: $i] :
( ( old @ ( esk7_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_88,plain,
! [X12: mu,X19: mu,X14: mu,X20: mu,X10: mu,X3: $i] :
( ( qmltpeq @ X10 @ ( esk19_1 @ X3 ) @ X3 )
| ~ ( down @ ( esk15_1 @ X3 ) @ X12 @ X3 )
| ~ ( barrel @ ( esk15_1 @ X3 ) @ X14 @ X3 )
| ~ ( qmltpeq @ X10 @ X19 @ X3 )
| ~ ( in @ X19 @ X20 @ X3 )
| ~ ( young @ X10 @ X3 )
| ~ ( man @ X10 @ X3 )
| ~ ( fellow @ X10 @ X3 )
| ~ ( old @ X14 @ X3 )
| ~ ( dirty @ X14 @ X3 )
| ~ ( white @ X14 @ X3 )
| ~ ( car @ X14 @ X3 )
| ~ ( chevy @ X14 @ X3 )
| ~ ( lonely @ X12 @ X3 )
| ~ ( way @ X12 @ X3 )
| ~ ( street @ X12 @ X3 )
| ~ ( front @ X20 @ X3 )
| ~ ( furniture @ X20 @ X3 )
| ~ ( seat @ X20 @ X3 )
| ~ ( exists_in_world @ X19 @ X3 )
| ~ ( exists_in_world @ X10 @ X3 )
| ~ ( exists_in_world @ X14 @ X3 )
| ~ ( exists_in_world @ X12 @ X3 )
| ~ ( exists_in_world @ X20 @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]),c_0_72]),c_0_73]),c_0_74]),c_0_75]) ).
thf(c_0_89,plain,
! [X3: $i] :
( ( down @ ( esk15_1 @ X3 ) @ ( esk17_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_90,plain,
! [X3: $i] :
( ( exists_in_world @ ( esk17_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_91,plain,
! [X3: $i] :
( ( street @ ( esk17_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_92,plain,
! [X3: $i] :
( ( way @ ( esk17_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_93,plain,
! [X3: $i] :
( ( lonely @ ( esk17_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_94,negated_conjecture,
~ ! [X112: $i] :
~ ( ( epred2_1 @ X112 )
| ( epred4_1 @ X112 ) ),
inference(apply_def,[status(thm)],[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)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]),c_0_76]),c_0_77]),c_0_78]),c_0_79]),c_0_59])]),c_0_9]),c_0_13]) ).
thf(c_0_95,plain,
! [X12: mu,X14: mu,X10: mu,X3: $i] :
( ( qmltpeq @ X10 @ ( esk9_1 @ X3 ) @ X3 )
| ~ ( qmltpeq @ X10 @ X12 @ X3 )
| ~ ( in @ X12 @ X14 @ X3 )
| ~ ( young @ X10 @ X3 )
| ~ ( man @ X10 @ X3 )
| ~ ( fellow @ X10 @ X3 )
| ~ ( front @ X14 @ X3 )
| ~ ( furniture @ X14 @ X3 )
| ~ ( seat @ X14 @ X3 )
| ~ ( exists_in_world @ X12 @ X3 )
| ~ ( exists_in_world @ X10 @ X3 )
| ~ ( exists_in_world @ X14 @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_87]) ).
thf(c_0_96,plain,
! [X3: $i] :
( ( in @ ( esk10_1 @ X3 ) @ ( esk2_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_97,plain,
! [X3: $i] :
( ( exists_in_world @ ( esk2_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_98,plain,
! [X3: $i] :
( ( exists_in_world @ ( esk10_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_99,plain,
! [X3: $i] :
( ( seat @ ( esk2_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_100,plain,
! [X3: $i] :
( ( furniture @ ( esk2_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_101,plain,
! [X3: $i] :
( ( front @ ( esk2_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_102,plain,
! [X12: mu,X14: mu,X19: mu,X10: mu,X3: $i] :
( ( qmltpeq @ X10 @ ( esk19_1 @ X3 ) @ X3 )
| ~ ( barrel @ ( esk15_1 @ X3 ) @ X12 @ X3 )
| ~ ( qmltpeq @ X10 @ X14 @ X3 )
| ~ ( in @ X14 @ X19 @ X3 )
| ~ ( young @ X10 @ X3 )
| ~ ( man @ X10 @ X3 )
| ~ ( fellow @ X10 @ X3 )
| ~ ( old @ X12 @ X3 )
| ~ ( dirty @ X12 @ X3 )
| ~ ( white @ X12 @ X3 )
| ~ ( car @ X12 @ X3 )
| ~ ( chevy @ X12 @ X3 )
| ~ ( front @ X19 @ X3 )
| ~ ( furniture @ X19 @ X3 )
| ~ ( seat @ X19 @ X3 )
| ~ ( exists_in_world @ X14 @ X3 )
| ~ ( exists_in_world @ X10 @ X3 )
| ~ ( exists_in_world @ X12 @ X3 )
| ~ ( exists_in_world @ X19 @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_93]) ).
thf(c_0_103,plain,
! [X3: $i] :
( ( barrel @ ( esk15_1 @ X3 ) @ ( esk16_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_104,plain,
! [X3: $i] :
( ( exists_in_world @ ( esk16_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_105,plain,
! [X3: $i] :
( ( chevy @ ( esk16_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_106,plain,
! [X3: $i] :
( ( car @ ( esk16_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_107,plain,
! [X3: $i] :
( ( white @ ( esk16_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_108,plain,
! [X3: $i] :
( ( dirty @ ( esk16_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_109,plain,
! [X3: $i] :
( ( old @ ( esk16_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_110,negated_conjecture,
( ( epred2_1 @ esk1_0 )
| ( epred4_1 @ esk1_0 ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_94])])]) ).
thf(c_0_111,plain,
! [X10: mu,X3: $i] :
( ( qmltpeq @ X10 @ ( esk9_1 @ X3 ) @ X3 )
| ~ ( qmltpeq @ X10 @ ( esk10_1 @ X3 ) @ X3 )
| ~ ( young @ X10 @ X3 )
| ~ ( man @ X10 @ X3 )
| ~ ( fellow @ X10 @ X3 )
| ~ ( exists_in_world @ X10 @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]),c_0_98]),c_0_99]),c_0_100]),c_0_101]) ).
thf(c_0_112,plain,
! [X3: $i] :
( ( qmltpeq @ ( esk8_1 @ X3 ) @ ( esk10_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_113,plain,
! [X3: $i] :
( ( exists_in_world @ ( esk8_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_114,plain,
! [X3: $i] :
( ( fellow @ ( esk8_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_115,plain,
! [X3: $i] :
( ( man @ ( esk8_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_116,plain,
! [X3: $i] :
( ( young @ ( esk8_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_117,plain,
! [X3: $i] :
( ~ ( qmltpeq @ ( esk8_1 @ X3 ) @ ( esk9_1 @ X3 ) @ X3 )
| ~ ( epred2_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_118,plain,
! [X12: mu,X14: mu,X10: mu,X3: $i] :
( ( qmltpeq @ X10 @ ( esk19_1 @ X3 ) @ X3 )
| ~ ( qmltpeq @ X10 @ X12 @ X3 )
| ~ ( in @ X12 @ X14 @ X3 )
| ~ ( young @ X10 @ X3 )
| ~ ( man @ X10 @ X3 )
| ~ ( fellow @ X10 @ X3 )
| ~ ( front @ X14 @ X3 )
| ~ ( furniture @ X14 @ X3 )
| ~ ( seat @ X14 @ X3 )
| ~ ( exists_in_world @ X12 @ X3 )
| ~ ( exists_in_world @ X10 @ X3 )
| ~ ( exists_in_world @ X14 @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]),c_0_105]),c_0_106]),c_0_107]),c_0_108]),c_0_109]) ).
thf(c_0_119,plain,
! [X3: $i] :
( ( in @ ( esk20_1 @ X3 ) @ ( esk12_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_120,plain,
! [X3: $i] :
( ( exists_in_world @ ( esk12_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_121,plain,
! [X3: $i] :
( ( exists_in_world @ ( esk20_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_122,plain,
! [X3: $i] :
( ( seat @ ( esk12_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_123,plain,
! [X3: $i] :
( ( furniture @ ( esk12_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_124,plain,
! [X3: $i] :
( ( front @ ( esk12_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_125,negated_conjecture,
( ( epred2_1 @ esk1_0 )
| ( epred4_1 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
thf(c_0_126,plain,
! [X3: $i] :
~ ( epred2_1 @ X3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),c_0_114]),c_0_115]),c_0_116]),c_0_117]) ).
thf(c_0_127,plain,
! [X10: mu,X3: $i] :
( ( qmltpeq @ X10 @ ( esk19_1 @ X3 ) @ X3 )
| ~ ( qmltpeq @ X10 @ ( esk20_1 @ X3 ) @ X3 )
| ~ ( young @ X10 @ X3 )
| ~ ( man @ X10 @ X3 )
| ~ ( fellow @ X10 @ X3 )
| ~ ( exists_in_world @ X10 @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]),c_0_121]),c_0_122]),c_0_123]),c_0_124]) ).
thf(c_0_128,plain,
! [X3: $i] :
( ( qmltpeq @ ( esk18_1 @ X3 ) @ ( esk20_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_129,plain,
! [X3: $i] :
( ( exists_in_world @ ( esk18_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_130,plain,
! [X3: $i] :
( ( fellow @ ( esk18_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_131,plain,
! [X3: $i] :
( ( man @ ( esk18_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_132,plain,
! [X3: $i] :
( ( young @ ( esk18_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_133,plain,
! [X3: $i] :
( ~ ( qmltpeq @ ( esk18_1 @ X3 ) @ ( esk19_1 @ X3 ) @ X3 )
| ~ ( epred4_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_134,negated_conjecture,
epred4_1 @ esk1_0,
inference(sr,[status(thm)],[c_0_125,c_0_126]) ).
thf(c_0_135,plain,
! [X3: $i] :
~ ( epred4_1 @ X3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]),c_0_130]),c_0_131]),c_0_132]),c_0_133]) ).
thf(c_0_136,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_134,c_0_135]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NLP004^7 : TPTP v8.2.0. Released v5.5.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 22:13:53 EDT 2024
% 0.13/0.34 % 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
% 0.47/0.62 # Version: 3.1.0-ho
% 0.47/0.62 # Preprocessing class: HSLSSMSSMLLNHSN.
% 0.47/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.47/0.62 # Starting almost_fo_3 with 1500s (5) cores
% 0.47/0.62 # Starting sh10 with 300s (1) cores
% 0.47/0.62 # Starting new_ho_16 with 300s (1) cores
% 0.47/0.62 # Starting post_as_ho11 with 300s (1) cores
% 0.47/0.62 # new_ho_16 with pid 2927 completed with status 0
% 0.47/0.62 # Result found by new_ho_16
% 0.47/0.62 # Preprocessing class: HSLSSMSSMLLNHSN.
% 0.47/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.47/0.62 # Starting almost_fo_3 with 1500s (5) cores
% 0.47/0.62 # Starting sh10 with 300s (1) cores
% 0.47/0.62 # Starting new_ho_16 with 300s (1) cores
% 0.47/0.62 # SinE strategy is LambdaDef
% 0.47/0.62 # Search class: HGHNF-FFMF11-SHSSMFNN
% 0.47/0.62 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.47/0.62 # Starting new_ho_10_cnf2 with 163s (1) cores
% 0.47/0.62 # new_ho_10_cnf2 with pid 2929 completed with status 0
% 0.47/0.62 # Result found by new_ho_10_cnf2
% 0.47/0.62 # Preprocessing class: HSLSSMSSMLLNHSN.
% 0.47/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.47/0.62 # Starting almost_fo_3 with 1500s (5) cores
% 0.47/0.62 # Starting sh10 with 300s (1) cores
% 0.47/0.62 # Starting new_ho_16 with 300s (1) cores
% 0.47/0.62 # SinE strategy is LambdaDef
% 0.47/0.62 # Search class: HGHNF-FFMF11-SHSSMFNN
% 0.47/0.62 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.47/0.62 # Starting new_ho_10_cnf2 with 163s (1) cores
% 0.47/0.62 # Preprocessing time : 0.003 s
% 0.47/0.62 # Presaturation interreduction done
% 0.47/0.62
% 0.47/0.62 # Proof found!
% 0.47/0.62 # SZS status Theorem
% 0.47/0.62 # SZS output start CNFRefutation
% See solution above
% 0.47/0.62 # Parsed axioms : 119
% 0.47/0.62 # Removed by relevancy pruning/SinE : 86
% 0.47/0.62 # Initial clauses : 87
% 0.47/0.62 # Removed in clause preprocessing : 0
% 0.47/0.62 # Initial clauses in saturation : 87
% 0.47/0.62 # Processed clauses : 229
% 0.47/0.62 # ...of these trivial : 0
% 0.47/0.62 # ...subsumed : 6
% 0.47/0.62 # ...remaining for further processing : 223
% 0.47/0.62 # Other redundant clauses eliminated : 0
% 0.47/0.62 # Clauses deleted for lack of memory : 0
% 0.47/0.62 # Backward-subsumed : 130
% 0.47/0.62 # Backward-rewritten : 0
% 0.47/0.62 # Generated clauses : 82
% 0.47/0.62 # ...of the previous two non-redundant : 80
% 0.47/0.62 # ...aggressively subsumed : 0
% 0.47/0.62 # Contextual simplify-reflections : 185
% 0.47/0.62 # Paramodulations : 80
% 0.47/0.62 # Factorizations : 0
% 0.47/0.62 # NegExts : 0
% 0.47/0.62 # Equation resolutions : 0
% 0.47/0.62 # Disequality decompositions : 0
% 0.47/0.62 # Total rewrite steps : 0
% 0.47/0.62 # ...of those cached : 0
% 0.47/0.62 # Propositional unsat checks : 0
% 0.47/0.62 # Propositional check models : 0
% 0.47/0.62 # Propositional check unsatisfiable : 0
% 0.47/0.62 # Propositional clauses : 0
% 0.47/0.62 # Propositional clauses after purity: 0
% 0.47/0.62 # Propositional unsat core size : 0
% 0.47/0.62 # Propositional preprocessing time : 0.000
% 0.47/0.62 # Propositional encoding time : 0.000
% 0.47/0.62 # Propositional solver time : 0.000
% 0.47/0.62 # Success case prop preproc time : 0.000
% 0.47/0.62 # Success case prop encoding time : 0.000
% 0.47/0.62 # Success case prop solver time : 0.000
% 0.47/0.62 # Current number of processed clauses : 4
% 0.47/0.62 # Positive orientable unit clauses : 0
% 0.47/0.62 # Positive unorientable unit clauses: 0
% 0.47/0.62 # Negative unit clauses : 2
% 0.47/0.62 # Non-unit-clauses : 2
% 0.47/0.62 # Current number of unprocessed clauses: 2
% 0.47/0.62 # ...number of literals in the above : 31
% 0.47/0.62 # Current number of archived formulas : 0
% 0.47/0.62 # Current number of archived clauses : 219
% 0.47/0.62 # Clause-clause subsumption calls (NU) : 38939
% 0.47/0.62 # Rec. Clause-clause subsumption calls : 3734
% 0.47/0.62 # Non-unit clause-clause subsumptions : 212
% 0.47/0.62 # Unit Clause-clause subsumption calls : 171
% 0.47/0.62 # Rewrite failures with RHS unbound : 0
% 0.47/0.62 # BW rewrite match attempts : 0
% 0.47/0.62 # BW rewrite match successes : 0
% 0.47/0.62 # Condensation attempts : 229
% 0.47/0.62 # Condensation successes : 0
% 0.47/0.62 # Termbank termtop insertions : 172630
% 0.47/0.62 # Search garbage collected termcells : 23138
% 0.47/0.62
% 0.47/0.62 # -------------------------------------------------
% 0.47/0.62 # User time : 0.135 s
% 0.47/0.62 # System time : 0.006 s
% 0.47/0.62 # Total time : 0.141 s
% 0.47/0.62 # Maximum resident set size: 5252 pages
% 0.47/0.62
% 0.47/0.62 # -------------------------------------------------
% 0.47/0.62 # User time : 0.139 s
% 0.47/0.62 # System time : 0.008 s
% 0.47/0.62 # Total time : 0.147 s
% 0.47/0.62 # Maximum resident set size: 1920 pages
% 0.47/0.62 % E---3.1 exiting
% 0.47/0.62 % E exiting
%------------------------------------------------------------------------------