TSTP Solution File: NLP004^7 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NLP004^7 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:39:23 EDT 2023
% Result : Theorem 0.55s 0.75s
% Output : Proof 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : NLP004^7 : TPTP v8.1.2. Released v5.5.0.
% 0.11/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 12:25:12 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 %----Proving TH0
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 % File : NLP004^7 : TPTP v8.1.2. Released v5.5.0.
% 0.21/0.50 % Domain : Natural Language Processing
% 0.21/0.50 % Problem : "The old dirty white Chevy" problem 4
% 0.21/0.50 % Version : [Ben12] axioms.
% 0.21/0.50 % English :
% 0.21/0.50
% 0.21/0.50 % Refs : [Bos00] Bos (2000), DORIS: Discourse Oriented Representation an
% 0.21/0.50 % : [Ben12] Benzmueller (2012), Email to Geoff Sutcliffe
% 0.21/0.50 % Source : [Ben12]
% 0.21/0.50 % Names : s4-cumul-NLP004+1 [Ben12]
% 0.21/0.50
% 0.21/0.50 % Status : Theorem
% 0.21/0.50 % Rating : 0.62 v8.1.0, 0.55 v7.5.0, 1.00 v7.4.0, 0.89 v7.2.0, 0.88 v7.1.0, 1.00 v5.5.0
% 0.21/0.50 % Syntax : Number of formulae : 119 ( 33 unt; 56 typ; 32 def)
% 0.21/0.50 % Number of atoms : 606 ( 36 equ; 0 cnn)
% 0.21/0.50 % Maximal formula atoms : 292 ( 9 avg)
% 0.21/0.50 % Number of connectives : 891 ( 5 ~; 5 |; 9 &; 862 @)
% 0.21/0.50 % ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% 0.21/0.50 % Maximal formula depth : 59 ( 7 avg)
% 0.21/0.50 % Number of types : 3 ( 1 usr)
% 0.21/0.50 % Number of type conns : 223 ( 223 >; 0 *; 0 +; 0 <<)
% 0.21/0.50 % Number of symbols : 64 ( 62 usr; 8 con; 0-3 aty)
% 0.21/0.50 % Number of variables : 188 ( 147 ^; 34 !; 7 ?; 188 :)
% 0.21/0.50 % SPC : TH0_THM_EQU_NAR
% 0.21/0.50
% 0.21/0.50 % Comments :
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 %----Include axioms for Modal logic S4 under cumulative domains
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 %----Declaration of additional base type mu
% 0.21/0.50 thf(mu_type,type,
% 0.21/0.50 mu: $tType ).
% 0.21/0.50
% 0.21/0.50 %----Equality
% 0.21/0.50 thf(qmltpeq_type,type,
% 0.21/0.50 qmltpeq: mu > mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 % originale Definition
% 0.21/0.50 %thf(qmltpeq,definition,
% 0.21/0.50 % ( qmltpeq
% 0.21/0.50 % = ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) )).
% 0.21/0.50
% 0.21/0.50 % erweiterte Leibnitz-Definition
% 0.21/0.50 %thf(qmltpeq,definition,
% 0.21/0.50 % ( qmltpeq
% 0.21/0.50 % = ( ^ [X: mu,Y: mu,W: $i] : (![P: mu > $i > $o]: ( (P @ X @ W) <=> (P @ Y @ W) ) ) ) )).
% 0.21/0.50
% 0.21/0.50 % Leibnitz-Definition
% 0.21/0.50 %thf(qmltpeq,definition,
% 0.21/0.50 % ( qmltpeq
% 0.21/0.50 % = ( ^ [X: mu,Y: mu,W: $i] : (! [P: mu > $o]: ( (P @ X) <=> (P @ Y) ) ) ) )).
% 0.21/0.50
% 0.21/0.50 thf(meq_prop_type,type,
% 0.21/0.50 meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(meq_prop,definition,
% 0.21/0.50 ( meq_prop
% 0.21/0.50 = ( ^ [X: $i > $o,Y: $i > $o,W: $i] :
% 0.21/0.50 ( ( X @ W )
% 0.21/0.50 = ( Y @ W ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 %----Modal operators not, or, box, Pi
% 0.21/0.50 thf(mnot_type,type,
% 0.21/0.50 mnot: ( $i > $o ) > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mnot,definition,
% 0.21/0.50 ( mnot
% 0.21/0.50 = ( ^ [Phi: $i > $o,W: $i] :
% 0.21/0.50 ~ ( Phi @ W ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(mor_type,type,
% 0.21/0.50 mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mor,definition,
% 0.21/0.50 ( mor
% 0.21/0.50 = ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
% 0.21/0.50 ( ( Phi @ W )
% 0.21/0.50 | ( Psi @ W ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(mbox_type,type,
% 0.21/0.50 mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mbox,definition,
% 0.21/0.50 ( mbox
% 0.21/0.50 = ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
% 0.21/0.50 ! [V: $i] :
% 0.21/0.50 ( ~ ( R @ W @ V )
% 0.21/0.50 | ( Phi @ V ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(mforall_prop_type,type,
% 0.21/0.50 mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mforall_prop,definition,
% 0.21/0.50 ( mforall_prop
% 0.21/0.50 = ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
% 0.21/0.50 ! [P: $i > $o] : ( Phi @ P @ W ) ) ) ).
% 0.21/0.50
% 0.21/0.50 %----Further modal operators
% 0.21/0.50 thf(mtrue_type,type,
% 0.21/0.50 mtrue: $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mtrue,definition,
% 0.21/0.50 ( mtrue
% 0.21/0.50 = ( ^ [W: $i] : $true ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(mfalse_type,type,
% 0.21/0.50 mfalse: $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mfalse,definition,
% 0.21/0.50 ( mfalse
% 0.21/0.50 = ( mnot @ mtrue ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(mand_type,type,
% 0.21/0.50 mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mand,definition,
% 0.21/0.50 ( mand
% 0.21/0.50 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(mimplies_type,type,
% 0.21/0.50 mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mimplies,definition,
% 0.21/0.50 ( mimplies
% 0.21/0.50 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(mimplied_type,type,
% 0.21/0.50 mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mimplied,definition,
% 0.21/0.50 ( mimplied
% 0.21/0.50 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(mequiv_type,type,
% 0.21/0.50 mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mequiv,definition,
% 0.21/0.50 ( mequiv
% 0.21/0.50 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(mxor_type,type,
% 0.21/0.50 mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mxor,definition,
% 0.21/0.50 ( mxor
% 0.21/0.50 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(mdia_type,type,
% 0.21/0.50 mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mdia,definition,
% 0.21/0.50 ( mdia
% 0.21/0.50 = ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 %--- (new for cumulative)
% 0.21/0.50 %---Declaration of existence predicate for simulating cumulative domain
% 0.21/0.50 thf(exists_in_world_type,type,
% 0.21/0.50 exists_in_world: mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 %----The domains are non-empty
% 0.21/0.50 thf(nonempty_ax,axiom,
% 0.21/0.50 ! [V: $i] :
% 0.21/0.50 ? [X: mu] : ( exists_in_world @ X @ V ) ).
% 0.21/0.50
% 0.21/0.50 thf(mforall_ind_type,type,
% 0.21/0.50 mforall_ind: ( mu > $i > $o ) > $i > $o ).
% 0.21/0.50
% 0.21/0.50 %--- (new for cumulative)
% 0.21/0.50 thf(mforall_ind,definition,
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 = ( ^ [Phi: mu > $i > $o,W: $i] :
% 0.21/0.50 ! [X: mu] :
% 0.21/0.50 ( ( exists_in_world @ X @ W )
% 0.21/0.50 => ( Phi @ X @ W ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 %thf(mforall_ind,definition,
% 0.21/0.50 % ( mforall_ind
% 0.21/0.50 % = ( ^ [Phi: mu > $i > $o,W: $i] :
% 0.21/0.50 % ! [X: mu] :
% 0.21/0.50 % ( Phi @ X @ W ) ) )).
% 0.21/0.50
% 0.21/0.50 thf(mexists_ind_type,type,
% 0.21/0.50 mexists_ind: ( mu > $i > $o ) > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mexists_ind,definition,
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 = ( ^ [Phi: mu > $i > $o] :
% 0.21/0.50 ( mnot
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(mexists_prop_type,type,
% 0.21/0.50 mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mexists_prop,definition,
% 0.21/0.50 ( mexists_prop
% 0.21/0.50 = ( ^ [Phi: ( $i > $o ) > $i > $o] :
% 0.21/0.50 ( mnot
% 0.21/0.50 @ ( mforall_prop
% 0.21/0.50 @ ^ [P: $i > $o] : ( mnot @ ( Phi @ P ) ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 %----Definition of properties of accessibility relations
% 0.21/0.50 thf(mreflexive_type,type,
% 0.21/0.50 mreflexive: ( $i > $i > $o ) > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mreflexive,definition,
% 0.21/0.50 ( mreflexive
% 0.21/0.50 = ( ^ [R: $i > $i > $o] :
% 0.21/0.50 ! [S: $i] : ( R @ S @ S ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(msymmetric_type,type,
% 0.21/0.50 msymmetric: ( $i > $i > $o ) > $o ).
% 0.21/0.50
% 0.21/0.50 thf(msymmetric,definition,
% 0.21/0.50 ( msymmetric
% 0.21/0.50 = ( ^ [R: $i > $i > $o] :
% 0.21/0.50 ! [S: $i,T: $i] :
% 0.21/0.50 ( ( R @ S @ T )
% 0.21/0.50 => ( R @ T @ S ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(mserial_type,type,
% 0.21/0.50 mserial: ( $i > $i > $o ) > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mserial,definition,
% 0.21/0.50 ( mserial
% 0.21/0.50 = ( ^ [R: $i > $i > $o] :
% 0.21/0.50 ! [S: $i] :
% 0.21/0.50 ? [T: $i] : ( R @ S @ T ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(mtransitive_type,type,
% 0.21/0.50 mtransitive: ( $i > $i > $o ) > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mtransitive,definition,
% 0.21/0.50 ( mtransitive
% 0.21/0.50 = ( ^ [R: $i > $i > $o] :
% 0.21/0.50 ! [S: $i,T: $i,U: $i] :
% 0.21/0.50 ( ( ( R @ S @ T )
% 0.21/0.50 & ( R @ T @ U ) )
% 0.21/0.50 => ( R @ S @ U ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(meuclidean_type,type,
% 0.21/0.50 meuclidean: ( $i > $i > $o ) > $o ).
% 0.21/0.50
% 0.21/0.50 thf(meuclidean,definition,
% 0.21/0.50 ( meuclidean
% 0.21/0.50 = ( ^ [R: $i > $i > $o] :
% 0.21/0.50 ! [S: $i,T: $i,U: $i] :
% 0.21/0.50 ( ( ( R @ S @ T )
% 0.21/0.50 & ( R @ S @ U ) )
% 0.21/0.50 => ( R @ T @ U ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(mpartially_functional_type,type,
% 0.21/0.50 mpartially_functional: ( $i > $i > $o ) > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mpartially_functional,definition,
% 0.21/0.50 ( mpartially_functional
% 0.21/0.50 = ( ^ [R: $i > $i > $o] :
% 0.21/0.50 ! [S: $i,T: $i,U: $i] :
% 0.21/0.50 ( ( ( R @ S @ T )
% 0.21/0.50 & ( R @ S @ U ) )
% 0.21/0.50 => ( T = U ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(mfunctional_type,type,
% 0.21/0.50 mfunctional: ( $i > $i > $o ) > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mfunctional,definition,
% 0.21/0.50 ( mfunctional
% 0.21/0.50 = ( ^ [R: $i > $i > $o] :
% 0.21/0.50 ! [S: $i] :
% 0.21/0.50 ? [T: $i] :
% 0.21/0.50 ( ( R @ S @ T )
% 0.21/0.50 & ! [U: $i] :
% 0.21/0.50 ( ( R @ S @ U )
% 0.21/0.50 => ( T = U ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(mweakly_dense_type,type,
% 0.21/0.50 mweakly_dense: ( $i > $i > $o ) > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mweakly_dense,definition,
% 0.21/0.50 ( mweakly_dense
% 0.21/0.50 = ( ^ [R: $i > $i > $o] :
% 0.21/0.50 ! [S: $i,T: $i,U: $i] :
% 0.21/0.50 ( ( R @ S @ T )
% 0.21/0.50 => ? [U: $i] :
% 0.21/0.50 ( ( R @ S @ U )
% 0.21/0.50 & ( R @ U @ T ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(mweakly_connected_type,type,
% 0.21/0.50 mweakly_connected: ( $i > $i > $o ) > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mweakly_connected,definition,
% 0.21/0.50 ( mweakly_connected
% 0.21/0.50 = ( ^ [R: $i > $i > $o] :
% 0.21/0.50 ! [S: $i,T: $i,U: $i] :
% 0.21/0.50 ( ( ( R @ S @ T )
% 0.21/0.50 & ( R @ S @ U ) )
% 0.21/0.50 => ( ( R @ T @ U )
% 0.21/0.50 | ( T = U )
% 0.21/0.50 | ( R @ U @ T ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(mweakly_directed_type,type,
% 0.21/0.50 mweakly_directed: ( $i > $i > $o ) > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mweakly_directed,definition,
% 0.21/0.50 ( mweakly_directed
% 0.21/0.50 = ( ^ [R: $i > $i > $o] :
% 0.21/0.50 ! [S: $i,T: $i,U: $i] :
% 0.21/0.50 ( ( ( R @ S @ T )
% 0.21/0.50 & ( R @ S @ U ) )
% 0.21/0.50 => ? [V: $i] :
% 0.21/0.50 ( ( R @ T @ V )
% 0.21/0.50 & ( R @ U @ V ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 %----Definition of validity
% 0.21/0.50 thf(mvalid_type,type,
% 0.21/0.50 mvalid: ( $i > $o ) > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mvalid,definition,
% 0.21/0.50 ( mvalid
% 0.21/0.50 = ( ^ [Phi: $i > $o] :
% 0.21/0.50 ! [W: $i] : ( Phi @ W ) ) ) ).
% 0.21/0.50
% 0.21/0.50 %----Definition of satisfiability
% 0.21/0.50 thf(msatisfiable_type,type,
% 0.21/0.50 msatisfiable: ( $i > $o ) > $o ).
% 0.21/0.50
% 0.21/0.50 thf(msatisfiable,definition,
% 0.21/0.50 ( msatisfiable
% 0.21/0.50 = ( ^ [Phi: $i > $o] :
% 0.21/0.50 ? [W: $i] : ( Phi @ W ) ) ) ).
% 0.21/0.50
% 0.21/0.50 %----Definition of countersatisfiability
% 0.21/0.50 thf(mcountersatisfiable_type,type,
% 0.21/0.50 mcountersatisfiable: ( $i > $o ) > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mcountersatisfiable,definition,
% 0.21/0.50 ( mcountersatisfiable
% 0.21/0.50 = ( ^ [Phi: $i > $o] :
% 0.21/0.50 ? [W: $i] :
% 0.21/0.50 ~ ( Phi @ W ) ) ) ).
% 0.21/0.50
% 0.21/0.50 %----Definition of invalidity
% 0.21/0.50 thf(minvalid_type,type,
% 0.21/0.50 minvalid: ( $i > $o ) > $o ).
% 0.21/0.50
% 0.21/0.50 thf(minvalid,definition,
% 0.21/0.50 ( minvalid
% 0.21/0.50 = ( ^ [Phi: $i > $o] :
% 0.21/0.50 ! [W: $i] :
% 0.21/0.50 ~ ( Phi @ W ) ) ) ).
% 0.21/0.50
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 %----We reserve an accessibility relation constant rel_s4
% 0.21/0.50 thf(rel_s4_type,type,
% 0.21/0.50 rel_s4: $i > $i > $o ).
% 0.21/0.50
% 0.21/0.50 %----We define mbox_s4 and mdia_s4 based on rel_s4
% 0.21/0.50 thf(mbox_s4_type,type,
% 0.21/0.50 mbox_s4: ( $i > $o ) > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mbox_s4,definition,
% 0.21/0.50 ( mbox_s4
% 0.21/0.50 = ( ^ [Phi: $i > $o,W: $i] :
% 0.21/0.50 ! [V: $i] :
% 0.21/0.50 ( ~ ( rel_s4 @ W @ V )
% 0.21/0.50 | ( Phi @ V ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(mdia_s4_type,type,
% 0.21/0.50 mdia_s4: ( $i > $o ) > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(mdia_s4,definition,
% 0.21/0.50 ( mdia_s4
% 0.21/0.50 = ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_s4 @ ( mnot @ Phi ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 %----We have now two options for stating the B conditions:
% 0.21/0.50 %----We can (i) directly formulate conditions for the accessibility relation
% 0.21/0.50 %----constant or we can (ii) state corresponding axioms. We here prefer (i)
% 0.21/0.50 thf(a1,axiom,
% 0.21/0.50 mreflexive @ rel_s4 ).
% 0.21/0.50
% 0.21/0.50 thf(a2,axiom,
% 0.21/0.50 mtransitive @ rel_s4 ).
% 0.21/0.50
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 thf(cumulative_ax,axiom,
% 0.21/0.50 ! [X: mu,V: $i,W: $i] :
% 0.21/0.50 ( ( ( exists_in_world @ X @ V )
% 0.21/0.50 & ( rel_s4 @ V @ W ) )
% 0.21/0.50 => ( exists_in_world @ X @ W ) ) ).
% 0.21/0.50
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 thf(young_type,type,
% 0.21/0.50 young: mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(man_type,type,
% 0.21/0.50 man: mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(fellow_type,type,
% 0.21/0.50 fellow: mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(in_type,type,
% 0.21/0.50 in: mu > mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(down_type,type,
% 0.21/0.50 down: mu > mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(barrel_type,type,
% 0.21/0.50 barrel: mu > mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(old_type,type,
% 0.21/0.50 old: mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(dirty_type,type,
% 0.21/0.50 dirty: mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(white_type,type,
% 0.21/0.50 white: mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(car_type,type,
% 0.21/0.50 car: mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(chevy_type,type,
% 0.21/0.50 chevy: mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(lonely_type,type,
% 0.21/0.50 lonely: mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(way_type,type,
% 0.21/0.50 way: mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(street_type,type,
% 0.21/0.50 street: mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(event_type,type,
% 0.21/0.50 event: mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(city_type,type,
% 0.21/0.50 city: mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(hollywood_type,type,
% 0.21/0.50 hollywood: mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(front_type,type,
% 0.21/0.50 front: mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(furniture_type,type,
% 0.21/0.50 furniture: mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(seat_type,type,
% 0.21/0.50 seat: mu > $i > $o ).
% 0.21/0.50
% 0.21/0.50 thf(reflexivity,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [X: mu] : ( qmltpeq @ X @ X ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(symmetry,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [X: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [Y: mu] : ( mimplies @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ X ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(transitivity,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [X: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [Y: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [Z: mu] : ( mimplies @ ( mand @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ Z ) ) @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(barrel_substitution_1,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( barrel @ A @ C ) ) @ ( barrel @ B @ C ) ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(barrel_substitution_2,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( barrel @ C @ A ) ) @ ( barrel @ C @ B ) ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(car_substitution_1,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( car @ A ) ) @ ( car @ B ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(chevy_substitution_1,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( chevy @ A ) ) @ ( chevy @ B ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(city_substitution_1,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( city @ A ) ) @ ( city @ B ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(dirty_substitution_1,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( dirty @ A ) ) @ ( dirty @ B ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(down_substitution_1,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( down @ A @ C ) ) @ ( down @ B @ C ) ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(down_substitution_2,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( down @ C @ A ) ) @ ( down @ C @ B ) ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(event_substitution_1,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( event @ A ) ) @ ( event @ B ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(fellow_substitution_1,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( fellow @ A ) ) @ ( fellow @ B ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(front_substitution_1,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( front @ A ) ) @ ( front @ B ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(furniture_substitution_1,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( furniture @ A ) ) @ ( furniture @ B ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(hollywood_substitution_1,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( hollywood @ A ) ) @ ( hollywood @ B ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(in_substitution_1,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ A @ C ) ) @ ( in @ B @ C ) ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(in_substitution_2,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ C @ A ) ) @ ( in @ C @ B ) ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(lonely_substitution_1,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( lonely @ A ) ) @ ( lonely @ B ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(man_substitution_1,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( man @ A ) ) @ ( man @ B ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(old_substitution_1,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( old @ A ) ) @ ( old @ B ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(seat_substitution_1,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( seat @ A ) ) @ ( seat @ B ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(street_substitution_1,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( street @ A ) ) @ ( street @ B ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(way_substitution_1,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( way @ A ) ) @ ( way @ B ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(white_substitution_1,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( white @ A ) ) @ ( white @ B ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(young_substitution_1,axiom,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mforall_ind
% 0.21/0.50 @ ^ [A: mu] :
% 0.21/0.50 ( mforall_ind
% 0.21/0.50 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( young @ A ) ) @ ( young @ B ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 thf(co1,conjecture,
% 0.21/0.50 ( mvalid
% 0.21/0.50 @ ( mand
% 0.21/0.50 @ ( mimplies
% 0.21/0.50 @ ( mexists_ind
% 0.21/0.50 @ ^ [U: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [V: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [W: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [Y: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [Z: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X1: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X2: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X4: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X5: mu] : ( mand @ ( seat @ U ) @ ( mand @ ( furniture @ U ) @ ( mand @ ( front @ U ) @ ( mand @ ( seat @ V ) @ ( mand @ ( furniture @ V ) @ ( mand @ ( front @ V ) @ ( mand @ ( hollywood @ W ) @ ( mand @ ( city @ W ) @ ( mand @ ( event @ X ) @ ( mand @ ( street @ Y ) @ ( mand @ ( way @ Y ) @ ( mand @ ( lonely @ Y ) @ ( mand @ ( chevy @ Z ) @ ( mand @ ( car @ Z ) @ ( mand @ ( white @ Z ) @ ( mand @ ( dirty @ Z ) @ ( mand @ ( old @ Z ) @ ( mand @ ( barrel @ X @ Z ) @ ( mand @ ( down @ X @ Y ) @ ( mand @ ( in @ X @ W ) @ ( mand @ ( mnot @ ( qmltpeq @ X1 @ X2 ) ) @ ( mand @ ( fellow @ X1 ) @ ( mand @ ( man @ X1 ) @ ( mand @ ( young @ X1 ) @ ( mand @ ( fellow @ X2 ) @ ( mand @ ( man @ X2 ) @ ( mand @ ( young @ X2 ) @ ( mand @ ( qmltpeq @ X1 @ X4 ) @ ( mand @ ( in @ X4 @ U ) @ ( mand @ ( qmltpeq @ X2 @ X5 ) @ ( in @ X5 @ V ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.21/0.50 @ ( mexists_ind
% 0.21/0.50 @ ^ [X6: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X7: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X8: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X9: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X10: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X11: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X12: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X13: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X15: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X16: mu] : ( mand @ ( seat @ X6 ) @ ( mand @ ( furniture @ X6 ) @ ( mand @ ( front @ X6 ) @ ( mand @ ( seat @ X7 ) @ ( mand @ ( furniture @ X7 ) @ ( mand @ ( front @ X7 ) @ ( mand @ ( hollywood @ X8 ) @ ( mand @ ( city @ X8 ) @ ( mand @ ( event @ X9 ) @ ( mand @ ( chevy @ X10 ) @ ( mand @ ( car @ X10 ) @ ( mand @ ( white @ X10 ) @ ( mand @ ( dirty @ X10 ) @ ( mand @ ( old @ X10 ) @ ( mand @ ( street @ X11 ) @ ( mand @ ( way @ X11 ) @ ( mand @ ( lonely @ X11 ) @ ( mand @ ( barrel @ X9 @ X10 ) @ ( mand @ ( down @ X9 @ X11 ) @ ( mand @ ( in @ X9 @ X8 ) @ ( mand @ ( mnot @ ( qmltpeq @ X12 @ X13 ) ) @ ( mand @ ( fellow @ X12 ) @ ( mand @ ( man @ X12 ) @ ( mand @ ( young @ X12 ) @ ( mand @ ( fellow @ X13 ) @ ( mand @ ( man @ X13 ) @ ( mand @ ( young @ X13 ) @ ( mand @ ( qmltpeq @ X12 @ X15 ) @ ( mand @ ( in @ X15 @ X6 ) @ ( mand @ ( qmltpeq @ X13 @ X16 ) @ ( in @ X16 @ X7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.21/0.50 @ ( mimplies
% 0.21/0.50 @ ( mexists_ind
% 0.21/0.50 @ ^ [X17: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X18: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X19: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X20: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X21: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X22: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X23: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X24: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X26: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X27: mu] : ( mand @ ( seat @ X17 ) @ ( mand @ ( furniture @ X17 ) @ ( mand @ ( front @ X17 ) @ ( mand @ ( seat @ X18 ) @ ( mand @ ( furniture @ X18 ) @ ( mand @ ( front @ X18 ) @ ( mand @ ( hollywood @ X19 ) @ ( mand @ ( city @ X19 ) @ ( mand @ ( event @ X20 ) @ ( mand @ ( chevy @ X21 ) @ ( mand @ ( car @ X21 ) @ ( mand @ ( white @ X21 ) @ ( mand @ ( dirty @ X21 ) @ ( mand @ ( old @ X21 ) @ ( mand @ ( street @ X22 ) @ ( mand @ ( way @ X22 ) @ ( mand @ ( lonely @ X22 ) @ ( mand @ ( barrel @ X20 @ X21 ) @ ( mand @ ( down @ X20 @ X22 ) @ ( mand @ ( in @ X20 @ X19 ) @ ( mand @ ( mnot @ ( qmltpeq @ X23 @ X24 ) ) @ ( mand @ ( fellow @ X23 ) @ ( mand @ ( man @ X23 ) @ ( mand @ ( young @ X23 ) @ ( mand @ ( fellow @ X24 ) @ ( mand @ ( man @ X24 ) @ ( mand @ ( young @ X24 ) @ ( mand @ ( qmltpeq @ X23 @ X26 ) @ ( mand @ ( in @ X26 @ X17 ) @ ( mand @ ( qmltpeq @ X24 @ X27 ) @ ( in @ X27 @ X18 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.21/0.50 @ ( mexists_ind
% 0.21/0.50 @ ^ [X28: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X29: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X30: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X31: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X32: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X33: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X34: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X35: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X37: mu] :
% 0.21/0.50 ( mexists_ind
% 0.21/0.50 @ ^ [X38: mu] : ( mand @ ( seat @ X28 ) @ ( mand @ ( furniture @ X28 ) @ ( mand @ ( front @ X28 ) @ ( mand @ ( seat @ X29 ) @ ( mand @ ( furniture @ X29 ) @ ( mand @ ( front @ X29 ) @ ( mand @ ( hollywood @ X30 ) @ ( mand @ ( city @ X30 ) @ ( mand @ ( event @ X31 ) @ ( mand @ ( street @ X32 ) @ ( mand @ ( way @ X32 ) @ ( mand @ ( lonely @ X32 ) @ ( mand @ ( chevy @ X33 ) @ ( mand @ ( car @ X33 ) @ ( mand @ ( white @ X33 ) @ ( mand @ ( dirty @ X33 ) @ ( mand @ ( old @ X33 ) @ ( mand @ ( barrel @ X31 @ X33 ) @ ( mand @ ( down @ X31 @ X32 ) @ ( mand @ ( in @ X31 @ X30 ) @ ( 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 @ X37 ) @ ( mand @ ( in @ X37 @ X28 ) @ ( mand @ ( qmltpeq @ X35 @ X38 ) @ ( in @ X38 @ X29 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 %------------------------------------------------------------------------------
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ToIplQG4rn/cvc5---1.0.5_1950.p...
% 0.21/0.51 (declare-sort $$unsorted 0)
% 0.21/0.51 (declare-sort tptp.mu 0)
% 0.21/0.51 (declare-fun tptp.qmltpeq (tptp.mu tptp.mu $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.meq_prop ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.51 (assert (= tptp.meq_prop (lambda ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool)) (W $$unsorted)) (= (@ X W) (@ Y W)))))
% 0.21/0.51 (declare-fun tptp.mnot ((-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.51 (assert (= tptp.mnot (lambda ((Phi (-> $$unsorted Bool)) (W $$unsorted)) (not (@ Phi W)))))
% 0.21/0.51 (declare-fun tptp.mor ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.51 (assert (= tptp.mor (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (W $$unsorted)) (or (@ Phi W) (@ Psi W)))))
% 0.21/0.51 (declare-fun tptp.mbox ((-> $$unsorted $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.51 (assert (= tptp.mbox (lambda ((R (-> $$unsorted $$unsorted Bool)) (Phi (-> $$unsorted Bool)) (W $$unsorted)) (forall ((V $$unsorted)) (or (not (@ (@ R W) V)) (@ Phi V))))))
% 0.21/0.51 (declare-fun tptp.mforall_prop ((-> (-> $$unsorted Bool) $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.51 (assert (= tptp.mforall_prop (lambda ((Phi (-> (-> $$unsorted Bool) $$unsorted Bool)) (W $$unsorted)) (forall ((P (-> $$unsorted Bool))) (@ (@ Phi P) W)))))
% 0.21/0.51 (declare-fun tptp.mtrue ($$unsorted) Bool)
% 0.21/0.51 (assert (= tptp.mtrue (lambda ((W $$unsorted)) true)))
% 0.21/0.51 (declare-fun tptp.mfalse ($$unsorted) Bool)
% 0.21/0.51 (assert (= tptp.mfalse (@ tptp.mnot tptp.mtrue)))
% 0.21/0.51 (declare-fun tptp.mand ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.51 (assert (= tptp.mand (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mor (@ tptp.mnot Phi)) (@ tptp.mnot Psi))) __flatten_var_0))))
% 0.21/0.51 (declare-fun tptp.mimplies ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.51 (assert (= tptp.mimplies (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mor (@ tptp.mnot Phi)) Psi) __flatten_var_0))))
% 0.21/0.51 (declare-fun tptp.mimplied ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.51 (assert (= tptp.mimplied (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mor (@ tptp.mnot Psi)) Phi) __flatten_var_0))))
% 0.21/0.51 (declare-fun tptp.mequiv ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.51 (assert (= tptp.mequiv (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mand (@ (@ tptp.mimplies Phi) Psi)) (@ (@ tptp.mimplies Psi) Phi)) __flatten_var_0))))
% 0.21/0.51 (declare-fun tptp.mxor ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.51 (assert (= tptp.mxor (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mequiv Phi) Psi)) __flatten_var_0))))
% 0.21/0.51 (declare-fun tptp.mdia ((-> $$unsorted $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.51 (assert (= tptp.mdia (lambda ((R (-> $$unsorted $$unsorted Bool)) (Phi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mbox R) (@ tptp.mnot Phi))) __flatten_var_0))))
% 0.21/0.51 (declare-fun tptp.exists_in_world (tptp.mu $$unsorted) Bool)
% 0.21/0.51 (assert (forall ((V $$unsorted)) (exists ((X tptp.mu)) (@ (@ tptp.exists_in_world X) V))))
% 0.21/0.51 (declare-fun tptp.mforall_ind ((-> tptp.mu $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.51 (assert (= tptp.mforall_ind (lambda ((Phi (-> tptp.mu $$unsorted Bool)) (W $$unsorted)) (forall ((X tptp.mu)) (=> (@ (@ tptp.exists_in_world X) W) (@ (@ Phi X) W))))))
% 0.21/0.51 (declare-fun tptp.mexists_ind ((-> tptp.mu $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.51 (assert (= tptp.mexists_ind (lambda ((Phi (-> tptp.mu $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ Phi X)) __flatten_var_0)))) __flatten_var_0))))
% 0.21/0.51 (declare-fun tptp.mexists_prop ((-> (-> $$unsorted Bool) $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.51 (assert (= tptp.mexists_prop (lambda ((Phi (-> (-> $$unsorted Bool) $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ tptp.mforall_prop (lambda ((P (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ Phi P)) __flatten_var_0)))) __flatten_var_0))))
% 0.21/0.51 (declare-fun tptp.mreflexive ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.51 (assert (= tptp.mreflexive (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (@ (@ R S) S)))))
% 0.21/0.51 (declare-fun tptp.msymmetric ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.51 (assert (= tptp.msymmetric (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted)) (=> (@ (@ R S) T) (@ (@ R T) S))))))
% 0.21/0.51 (declare-fun tptp.mserial ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.51 (assert (= tptp.mserial (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (exists ((T $$unsorted)) (@ (@ R S) T))))))
% 0.21/0.51 (declare-fun tptp.mtransitive ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.51 (assert (= tptp.mtransitive (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ (@ R T) U)) (@ _let_1 U)))))))
% 0.21/0.51 (declare-fun tptp.meuclidean ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.51 (assert (= tptp.meuclidean (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (@ (@ R T) U)))))))
% 0.21/0.51 (declare-fun tptp.mpartially_functional ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.51 (assert (= tptp.mpartially_functional (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (= T U)))))))
% 0.21/0.51 (declare-fun tptp.mfunctional ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.51 (assert (= tptp.mfunctional (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (exists ((T $$unsorted)) (and (@ (@ R S) T) (forall ((U $$unsorted)) (=> (@ (@ R S) U) (= T U)))))))))
% 0.21/0.51 (declare-fun tptp.mweakly_dense ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.51 (assert (= tptp.mweakly_dense (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (=> (@ (@ R S) T) (exists ((U $$unsorted)) (and (@ (@ R S) U) (@ (@ R U) T))))))))
% 0.21/0.51 (declare-fun tptp.mweakly_connected ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.51 (assert (= tptp.mweakly_connected (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (or (@ (@ R T) U) (= T U) (@ (@ R U) T))))))))
% 0.21/0.51 (declare-fun tptp.mweakly_directed ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.51 (assert (= tptp.mweakly_directed (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (exists ((V $$unsorted)) (and (@ (@ R T) V) (@ (@ R U) V)))))))))
% 0.21/0.51 (declare-fun tptp.mvalid ((-> $$unsorted Bool)) Bool)
% 0.21/0.51 (assert (= tptp.mvalid (lambda ((Phi (-> $$unsorted Bool))) (forall ((W $$unsorted)) (@ Phi W)))))
% 0.21/0.51 (declare-fun tptp.msatisfiable ((-> $$unsorted Bool)) Bool)
% 0.21/0.51 (assert (= tptp.msatisfiable (lambda ((Phi (-> $$unsorted Bool))) (exists ((W $$unsorted)) (@ Phi W)))))
% 0.21/0.51 (declare-fun tptp.mcountersatisfiable ((-> $$unsorted Bool)) Bool)
% 0.21/0.51 (assert (= tptp.mcountersatisfiable (lambda ((Phi (-> $$unsorted Bool))) (exists ((W $$unsorted)) (not (@ Phi W))))))
% 0.21/0.51 (declare-fun tptp.minvalid ((-> $$unsorted Bool)) Bool)
% 0.21/0.51 (assert (= tptp.minvalid (lambda ((Phi (-> $$unsorted Bool))) (forall ((W $$unsorted)) (not (@ Phi W))))))
% 0.21/0.51 (declare-fun tptp.rel_s4 ($$unsorted $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.mbox_s4 ((-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.51 (assert (= tptp.mbox_s4 (lambda ((Phi (-> $$unsorted Bool)) (W $$unsorted)) (forall ((V $$unsorted)) (or (not (@ (@ tptp.rel_s4 W) V)) (@ Phi V))))))
% 0.21/0.51 (declare-fun tptp.mdia_s4 ((-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.51 (assert (= tptp.mdia_s4 (lambda ((Phi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ tptp.mbox_s4 (@ tptp.mnot Phi))) __flatten_var_0))))
% 0.21/0.51 (assert (@ tptp.mreflexive tptp.rel_s4))
% 0.21/0.51 (assert (@ tptp.mtransitive tptp.rel_s4))
% 0.21/0.51 (assert (forall ((X tptp.mu) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (@ tptp.exists_in_world X))) (=> (and (@ _let_1 V) (@ (@ tptp.rel_s4 V) W)) (@ _let_1 W)))))
% 0.21/0.51 (declare-fun tptp.young (tptp.mu $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.man (tptp.mu $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.fellow (tptp.mu $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.in (tptp.mu tptp.mu $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.down (tptp.mu tptp.mu $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.barrel (tptp.mu tptp.mu $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.old (tptp.mu $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.dirty (tptp.mu $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.white (tptp.mu $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.car (tptp.mu $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.chevy (tptp.mu $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.lonely (tptp.mu $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.way (tptp.mu $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.street (tptp.mu $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.event (tptp.mu $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.city (tptp.mu $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.hollywood (tptp.mu $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.front (tptp.mu $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.furniture (tptp.mu $$unsorted) Bool)
% 0.21/0.51 (declare-fun tptp.seat (tptp.mu $$unsorted) Bool)
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.qmltpeq X) X) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((Y tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.qmltpeq X) Y)) (@ (@ tptp.qmltpeq Y) X)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((Y tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((Z tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq X))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ _let_1 Y)) (@ (@ tptp.qmltpeq Y) Z))) (@ _let_1 Z)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ (@ tptp.barrel A) C))) (@ (@ tptp.barrel B) C)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.barrel C))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ _let_1 A))) (@ _let_1 B)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.car A))) (@ tptp.car B)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.chevy A))) (@ tptp.chevy B)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.city A))) (@ tptp.city B)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.dirty A))) (@ tptp.dirty B)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ (@ tptp.down A) C))) (@ (@ tptp.down B) C)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.down C))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ _let_1 A))) (@ _let_1 B)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.event A))) (@ tptp.event B)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.fellow A))) (@ tptp.fellow B)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.front A))) (@ tptp.front B)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.furniture A))) (@ tptp.furniture B)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.hollywood A))) (@ tptp.hollywood B)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ (@ tptp.in A) C))) (@ (@ tptp.in B) C)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.in C))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ _let_1 A))) (@ _let_1 B)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.lonely A))) (@ tptp.lonely B)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.man A))) (@ tptp.man B)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.old A))) (@ tptp.old B)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.seat A))) (@ tptp.seat B)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.street A))) (@ tptp.street B)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.way A))) (@ tptp.way B)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.white A))) (@ tptp.white B)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.young A))) (@ tptp.young B)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.51 (assert (not (@ tptp.mvalid (@ (@ tptp.mand (@ (@ tptp.mimplies (@ tptp.mexists_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((V tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((W tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((Y tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((Z tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X1 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X2 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X4 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X5 tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq X1))) (@ (@ (@ tptp.mand (@ tptp.seat U)) (@ (@ tptp.mand (@ tptp.furniture U)) (@ (@ tptp.mand (@ tptp.front U)) (@ (@ tptp.mand (@ tptp.seat V)) (@ (@ tptp.mand (@ tptp.furniture V)) (@ (@ tptp.mand (@ tptp.front V)) (@ (@ tptp.mand (@ tptp.hollywood W)) (@ (@ tptp.mand (@ tptp.city W)) (@ (@ tptp.mand (@ tptp.event X)) (@ (@ tptp.mand (@ tptp.street Y)) (@ (@ tptp.mand (@ tptp.way Y)) (@ (@ tptp.mand (@ tptp.lonely Y)) (@ (@ tptp.mand (@ tptp.chevy Z)) (@ (@ tptp.mand (@ tptp.car Z)) (@ (@ tptp.mand (@ tptp.white Z)) (@ (@ tptp.mand (@ tptp.dirty Z)) (@ (@ tptp.mand (@ tptp.old Z)) (@ (@ tptp.mand (@ (@ tptp.barrel X) Z)) (@ (@ tptp.mand (@ (@ tptp.down X) Y)) (@ (@ tptp.mand (@ (@ tptp.in X) W)) (@ (@ tptp.mand (@ tptp.mnot (@ _let_1 X2))) (@ (@ tptp.mand (@ tptp.fellow X1)) (@ (@ tptp.mand (@ tptp.man X1)) (@ (@ tptp.mand (@ tptp.young X1)) (@ (@ tptp.mand (@ tptp.fellow X2)) (@ (@ tptp.mand (@ tptp.man X2)) (@ (@ tptp.mand (@ tptp.young X2)) (@ (@ tptp.mand (@ _let_1 X4)) (@ (@ tptp.mand (@ (@ tptp.in X4) U)) (@ (@ tptp.mand (@ (@ tptp.qmltpeq X2) X5)) (@ (@ tptp.in X5) V))))))))))))))))))))))))))))))) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mexists_ind (lambda ((X6 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X7 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X8 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X9 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X10 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X11 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X12 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X13 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X15 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X16 tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq X12))) (@ (@ (@ tptp.mand (@ tptp.seat X6)) (@ (@ tptp.mand (@ tptp.furniture X6)) (@ (@ tptp.mand (@ tptp.front X6)) (@ (@ tptp.mand (@ tptp.seat X7)) (@ (@ tptp.mand (@ tptp.furniture X7)) (@ (@ tptp.mand (@ tptp.front X7)) (@ (@ tptp.mand (@ tptp.hollywood X8)) (@ (@ tptp.mand (@ tptp.city X8)) (@ (@ tptp.mand (@ tptp.event X9)) (@ (@ tptp.mand (@ tptp.chevy X10)) (@ (@ tptp.mand (@ tptp.car X10)) (@ (@ tptp.mand (@ tptp.white X10)) (@ (@ tptp.mand (@ tptp.dirty X10)) (@ (@ tptp.mand (@ tptp.old X10)) (@ (@ tptp.mand (@ tptp.street X11)) (@ (@ tptp.mand (@ tptp.way X11)) (@ (@ tptp.mand (@ tptp.lonely X11)) (@ (@ tptp.mand (@ (@ tptp.barrel X9) X10)) (@ (@ tptp.mand (@ (@ tptp.down X9) X11)) (@ (@ tptp.mand (@ (@ tptp.in X9) X8)) (@ (@ tptp.mand (@ tptp.mnot (@ _let_1 X13))) (@ (@ tptp.mand (@ tptp.fellow X12)) (@ (@ tptp.mand (@ tptp.man X12)) (@ (@ tptp.mand (@ tptp.young X12)) (@ (@ tptp.mand (@ tptp.fellow X13)) (@ (@ tptp.mand (@ tptp.man X13)) (@ (@ tptp.mand (@ tptp.young X13)) (@ (@ tptp.mand (@ _let_1 X15)) (@ (@ tptp.mand (@ (@ tptp.in X15) X6)) (@ (@ tptp.mand (@ (@ tptp.qmltpeq X13) X16)) (@ (@ tptp.in X16) X7))))))))))))))))))))))))))))))) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))))) (@ (@ tptp.mimplies (@ tptp.mexists_ind (lambda ((X17 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X18 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X19 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X20 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X21 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X22 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X23 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X24 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X26 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X27 tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq X23))) (@ (@ (@ tptp.mand (@ tptp.seat X17)) (@ (@ tptp.mand (@ tptp.furniture X17)) (@ (@ tptp.mand (@ tptp.front X17)) (@ (@ tptp.mand (@ tptp.seat X18)) (@ (@ tptp.mand (@ tptp.furniture X18)) (@ (@ tptp.mand (@ tptp.front X18)) (@ (@ tptp.mand (@ tptp.hollywood X19)) (@ (@ tptp.mand (@ tptp.city X19)) (@ (@ tptp.mand (@ tptp.event X20)) (@ (@ tptp.mand (@ tptp.chevy X21)) (@ (@ tptp.mand (@ tptp.car X21)) (@ (@ tptp.mand (@ tptp.white X21)) (@ (@ tptp.mand (@ tptp.dirty X21)) (@ (@ tptp.mand (@ tptp.old X21)) (@ (@ tptp.mand (@ tptp.street X22)) (@ (@ tptp.mand (@ tptp.way X22)) (@ (@ tptp.mand (@ tptp.lonely X22)) (@ (@ tptp.mand (@ (@ tptp.barrel X20) X21)) (@ (@ tptp.mand (@ (@ tptp.down X20) X22)) (@ (@ tptp.mand (@ (@ tptp.in X20) X19)) (@ (@ tptp.mand (@ tptp.mnot (@ _let_1 X24))) (@ (@ tptp.mand (@ tptp.fellow X23)) (@ (@ tptp.mand (@ tptp.man X23)) (@ (@ tptp.mand (@ tptp.young X23)) (@ (@ tptp.mand (@ tptp.fellow X24)) (@ (@ tptp.mand (@ tptp.man X24)) (@ (@ tptp.mand (@ tptp.young X24)) (@ (@ tptp.mand (@ _let_1 X26)) (@ (@ tptp.mand (@ (@ tptp.in X26) X17)) (@ (@ tptp.mand (@ (@ tptp.qmltpeq X24) X27)) (@ (@ tptp.in X27) X18))))))))))))))))))))))))))))))) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mexists_ind (lambda ((X28 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X29 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X30 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X31 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X32 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X33 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X34 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X35 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X37 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X38 tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq X34))) (@ (@ (@ tptp.mand (@ tptp.seat X28)) (@ (@ tptp.mand (@ tptp.furniture X28)) (@ (@ tptp.mand (@ tptp.front X28)) (@ (@ tptp.mand (@ tptp.seat X29)) (@ (@ tptp.mand (@ tptp.furniture X29)) (@ (@ tptp.mand (@ tptp.front X29)) (@ (@ tptp.mand (@ tptp.hollywood X30)) (@ (@ tptp.mand (@ tptp.city X30)) (@ (@ tptp.mand (@ tptp.event X31)) (@ (@ tptp.mand (@ tptp.street X32)) (@ (@ tptp.mand (@ tptp.way X32)) (@ (@ tptp.mand (@ tptp.lonely X32)) (@ (@ tptp.mand (@ tptp.chevy X33)) (@ (@ tptp.mand (@ tptp.car X33)) (@ (@ tptp.mand (@ tptp.white X33)) (@ (@ tptp.mand (@ tptp.dirty X33)) (@ (@ tptp.mand (@ tptp.old X33)) (@ (@ tptp.mand (@ (@ tptp.barrel X31) X33)) (@ (@ tptp.mand (@ (@ tptp.down X31) X32)) (@ (@ tptp.mand (@ (@ tptp.in X31) X30)) (@ (@ tptp.mand (@ tptp.mnot (@ _let_1 X35))) (@ (@ tptp.mand (@ tptp.fellow X34)) (@ (@ tptp.mand (@ tptp.man X34)) (@ (@ tptp.mand (@ tptp.young X34)) (@ (@ tptp.mand (@ tptp.fellow X35)) (@ (@ tptp.mand (@ tptp.man X35)) (@ (@ tptp.mand (@ tptp.young X35)) (@ (@ tptp.mand (@ _let_1 X37)) (@ (@ tptp.mand (@ (@ tptp.in X37) X28)) (@ (@ tptp.mand (@ (@ tptp.qmltpeq X35) X38)) (@ (@ tptp.in X38) X29))))))))))))))))))))))))))))))) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))))))))
% 0.55/0.75 (set-info :filename cvc5---1.0.5_1950)
% 0.55/0.75 (check-sat-assuming ( true ))
% 0.55/0.75 ------- get file name : TPTP file name is NLP004^7
% 0.55/0.75 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1950.smt2...
% 0.55/0.75 --- Run --ho-elim --full-saturate-quant at 10...
% 0.55/0.75 % SZS status Theorem for NLP004^7
% 0.55/0.75 % SZS output start Proof for NLP004^7
% 0.55/0.75 (
% 0.55/0.75 (let ((_let_1 (not (@ tptp.mvalid (@ (@ tptp.mand (@ (@ tptp.mimplies (@ tptp.mexists_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((V tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((W tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((Y tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((Z tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X1 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X2 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X4 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X5 tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq X1))) (@ (@ (@ tptp.mand (@ tptp.seat U)) (@ (@ tptp.mand (@ tptp.furniture U)) (@ (@ tptp.mand (@ tptp.front U)) (@ (@ tptp.mand (@ tptp.seat V)) (@ (@ tptp.mand (@ tptp.furniture V)) (@ (@ tptp.mand (@ tptp.front V)) (@ (@ tptp.mand (@ tptp.hollywood W)) (@ (@ tptp.mand (@ tptp.city W)) (@ (@ tptp.mand (@ tptp.event X)) (@ (@ tptp.mand (@ tptp.street Y)) (@ (@ tptp.mand (@ tptp.way Y)) (@ (@ tptp.mand (@ tptp.lonely Y)) (@ (@ tptp.mand (@ tptp.chevy Z)) (@ (@ tptp.mand (@ tptp.car Z)) (@ (@ tptp.mand (@ tptp.white Z)) (@ (@ tptp.mand (@ tptp.dirty Z)) (@ (@ tptp.mand (@ tptp.old Z)) (@ (@ tptp.mand (@ (@ tptp.barrel X) Z)) (@ (@ tptp.mand (@ (@ tptp.down X) Y)) (@ (@ tptp.mand (@ (@ tptp.in X) W)) (@ (@ tptp.mand (@ tptp.mnot (@ _let_1 X2))) (@ (@ tptp.mand (@ tptp.fellow X1)) (@ (@ tptp.mand (@ tptp.man X1)) (@ (@ tptp.mand (@ tptp.young X1)) (@ (@ tptp.mand (@ tptp.fellow X2)) (@ (@ tptp.mand (@ tptp.man X2)) (@ (@ tptp.mand (@ tptp.young X2)) (@ (@ tptp.mand (@ _let_1 X4)) (@ (@ tptp.mand (@ (@ tptp.in X4) U)) (@ (@ tptp.mand (@ (@ tptp.qmltpeq X2) X5)) (@ (@ tptp.in X5) V))))))))))))))))))))))))))))))) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mexists_ind (lambda ((X6 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X7 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X8 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X9 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X10 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X11 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X12 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X13 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X15 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X16 tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq X12))) (@ (@ (@ tptp.mand (@ tptp.seat X6)) (@ (@ tptp.mand (@ tptp.furniture X6)) (@ (@ tptp.mand (@ tptp.front X6)) (@ (@ tptp.mand (@ tptp.seat X7)) (@ (@ tptp.mand (@ tptp.furniture X7)) (@ (@ tptp.mand (@ tptp.front X7)) (@ (@ tptp.mand (@ tptp.hollywood X8)) (@ (@ tptp.mand (@ tptp.city X8)) (@ (@ tptp.mand (@ tptp.event X9)) (@ (@ tptp.mand (@ tptp.chevy X10)) (@ (@ tptp.mand (@ tptp.car X10)) (@ (@ tptp.mand (@ tptp.white X10)) (@ (@ tptp.mand (@ tptp.dirty X10)) (@ (@ tptp.mand (@ tptp.old X10)) (@ (@ tptp.mand (@ tptp.street X11)) (@ (@ tptp.mand (@ tptp.way X11)) (@ (@ tptp.mand (@ tptp.lonely X11)) (@ (@ tptp.mand (@ (@ tptp.barrel X9) X10)) (@ (@ tptp.mand (@ (@ tptp.down X9) X11)) (@ (@ tptp.mand (@ (@ tptp.in X9) X8)) (@ (@ tptp.mand (@ tptp.mnot (@ _let_1 X13))) (@ (@ tptp.mand (@ tptp.fellow X12)) (@ (@ tptp.mand (@ tptp.man X12)) (@ (@ tptp.mand (@ tptp.young X12)) (@ (@ tptp.mand (@ tptp.fellow X13)) (@ (@ tptp.mand (@ tptp.man X13)) (@ (@ tptp.mand (@ tptp.young X13)) (@ (@ tptp.mand (@ _let_1 X15)) (@ (@ tptp.mand (@ (@ tptp.in X15) X6)) (@ (@ tptp.mand (@ (@ tptp.qmltpeq X13) X16)) (@ (@ tptp.in X16) X7))))))))))))))))))))))))))))))) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))))) (@ (@ tptp.mimplies (@ tptp.mexists_ind (lambda ((X17 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X18 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X19 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X20 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X21 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X22 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X23 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X24 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X26 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X27 tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq X23))) (@ (@ (@ tptp.mand (@ tptp.seat X17)) (@ (@ tptp.mand (@ tptp.furniture X17)) (@ (@ tptp.mand (@ tptp.front X17)) (@ (@ tptp.mand (@ tptp.seat X18)) (@ (@ tptp.mand (@ tptp.furniture X18)) (@ (@ tptp.mand (@ tptp.front X18)) (@ (@ tptp.mand (@ tptp.hollywood X19)) (@ (@ tptp.mand (@ tptp.city X19)) (@ (@ tptp.mand (@ tptp.event X20)) (@ (@ tptp.mand (@ tptp.chevy X21)) (@ (@ tptp.mand (@ tptp.car X21)) (@ (@ tptp.mand (@ tptp.white X21)) (@ (@ tptp.mand (@ tptp.dirty X21)) (@ (@ tptp.mand (@ tptp.old X21)) (@ (@ tptp.mand (@ tptp.street X22)) (@ (@ tptp.mand (@ tptp.way X22)) (@ (@ tptp.mand (@ tptp.lonely X22)) (@ (@ tptp.mand (@ (@ tptp.barrel X20) X21)) (@ (@ tptp.mand (@ (@ tptp.down X20) X22)) (@ (@ tptp.mand (@ (@ tptp.in X20) X19)) (@ (@ tptp.mand (@ tptp.mnot (@ _let_1 X24))) (@ (@ tptp.mand (@ tptp.fellow X23)) (@ (@ tptp.mand (@ tptp.man X23)) (@ (@ tptp.mand (@ tptp.young X23)) (@ (@ tptp.mand (@ tptp.fellow X24)) (@ (@ tptp.mand (@ tptp.man X24)) (@ (@ tptp.mand (@ tptp.young X24)) (@ (@ tptp.mand (@ _let_1 X26)) (@ (@ tptp.mand (@ (@ tptp.in X26) X17)) (@ (@ tptp.mand (@ (@ tptp.qmltpeq X24) X27)) (@ (@ tptp.in X27) X18))))))))))))))))))))))))))))))) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mexists_ind (lambda ((X28 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X29 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X30 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X31 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X32 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X33 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X34 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X35 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X37 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X38 tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq X34))) (@ (@ (@ tptp.mand (@ tptp.seat X28)) (@ (@ tptp.mand (@ tptp.furniture X28)) (@ (@ tptp.mand (@ tptp.front X28)) (@ (@ tptp.mand (@ tptp.seat X29)) (@ (@ tptp.mand (@ tptp.furniture X29)) (@ (@ tptp.mand (@ tptp.front X29)) (@ (@ tptp.mand (@ tptp.hollywood X30)) (@ (@ tptp.mand (@ tptp.city X30)) (@ (@ tptp.mand (@ tptp.event X31)) (@ (@ tptp.mand (@ tptp.street X32)) (@ (@ tptp.mand (@ tptp.way X32)) (@ (@ tptp.mand (@ tptp.lonely X32)) (@ (@ tptp.mand (@ tptp.chevy X33)) (@ (@ tptp.mand (@ tptp.car X33)) (@ (@ tptp.mand (@ tptp.white X33)) (@ (@ tptp.mand (@ tptp.dirty X33)) (@ (@ tptp.mand (@ tptp.old X33)) (@ (@ tptp.mand (@ (@ tptp.barrel X31) X33)) (@ (@ tptp.mand (@ (@ tptp.down X31) X32)) (@ (@ tptp.mand (@ (@ tptp.in X31) X30)) (@ (@ tptp.mand (@ tptp.mnot (@ _let_1 X35))) (@ (@ tptp.mand (@ tptp.fellow X34)) (@ (@ tptp.mand (@ tptp.man X34)) (@ (@ tptp.mand (@ tptp.young X34)) (@ (@ tptp.mand (@ tptp.fellow X35)) (@ (@ tptp.mand (@ tptp.man X35)) (@ (@ tptp.mand (@ tptp.young X35)) (@ (@ tptp.mand (@ _let_1 X37)) (@ (@ tptp.mand (@ (@ tptp.in X37) X28)) (@ (@ tptp.mand (@ (@ tptp.qmltpeq X35) X38)) (@ (@ tptp.in X38) X29))))))))))))))))))))))))))))))) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))))))))) (let ((_let_2 (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.qmltpeq X) X) __flatten_var_0)))))) (let ((_let_3 (= tptp.mdia_s4 (lambda ((Phi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ tptp.mbox_s4 (@ tptp.mnot Phi))) __flatten_var_0))))) (let ((_let_4 (= tptp.mbox_s4 (lambda ((Phi (-> $$unsorted Bool)) (W $$unsorted)) (forall ((V $$unsorted)) (or (not (@ (@ tptp.rel_s4 W) V)) (@ Phi V))))))) (let ((_let_5 (= tptp.minvalid (lambda ((Phi (-> $$unsorted Bool))) (forall ((W $$unsorted)) (not (@ Phi W))))))) (let ((_let_6 (= tptp.mcountersatisfiable (lambda ((Phi (-> $$unsorted Bool))) (exists ((W $$unsorted)) (not (@ Phi W))))))) (let ((_let_7 (= tptp.msatisfiable (lambda ((Phi (-> $$unsorted Bool))) (exists ((W $$unsorted)) (@ Phi W)))))) (let ((_let_8 (= tptp.mvalid (lambda ((Phi (-> $$unsorted Bool))) (forall ((W $$unsorted)) (@ Phi W)))))) (let ((_let_9 (= tptp.mweakly_directed (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (exists ((V $$unsorted)) (and (@ (@ R T) V) (@ (@ R U) V)))))))))) (let ((_let_10 (= tptp.mweakly_connected (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (or (@ (@ R T) U) (= T U) (@ (@ R U) T))))))))) (let ((_let_11 (= tptp.mweakly_dense (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (=> (@ (@ R S) T) (exists ((U $$unsorted)) (and (@ (@ R S) U) (@ (@ R U) T))))))))) (let ((_let_12 (= tptp.mfunctional (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (exists ((T $$unsorted)) (and (@ (@ R S) T) (forall ((U $$unsorted)) (=> (@ (@ R S) U) (= T U)))))))))) (let ((_let_13 (= tptp.mpartially_functional (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (= T U)))))))) (let ((_let_14 (= tptp.meuclidean (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (@ (@ R T) U)))))))) (let ((_let_15 (= tptp.mtransitive (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ (@ R T) U)) (@ _let_1 U)))))))) (let ((_let_16 (= tptp.mserial (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (exists ((T $$unsorted)) (@ (@ R S) T))))))) (let ((_let_17 (= tptp.msymmetric (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted)) (=> (@ (@ R S) T) (@ (@ R T) S))))))) (let ((_let_18 (= tptp.mreflexive (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (@ (@ R S) S)))))) (let ((_let_19 (= tptp.mexists_prop (lambda ((Phi (-> (-> $$unsorted Bool) $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ tptp.mforall_prop (lambda ((P (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ Phi P)) __flatten_var_0)))) __flatten_var_0))))) (let ((_let_20 (= tptp.mexists_ind (lambda ((Phi (-> tptp.mu $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ Phi X)) __flatten_var_0)))) __flatten_var_0))))) (let ((_let_21 (= tptp.mforall_ind (lambda ((Phi (-> tptp.mu $$unsorted Bool)) (W $$unsorted)) (forall ((X tptp.mu)) (=> (@ (@ tptp.exists_in_world X) W) (@ (@ Phi X) W))))))) (let ((_let_22 (= tptp.mdia (lambda ((R (-> $$unsorted $$unsorted Bool)) (Phi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mbox R) (@ tptp.mnot Phi))) __flatten_var_0))))) (let ((_let_23 (= tptp.mxor (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mequiv Phi) Psi)) __flatten_var_0))))) (let ((_let_24 (= tptp.mequiv (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mand (@ (@ tptp.mimplies Phi) Psi)) (@ (@ tptp.mimplies Psi) Phi)) __flatten_var_0))))) (let ((_let_25 (= tptp.mimplied (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mor (@ tptp.mnot Psi)) Phi) __flatten_var_0))))) (let ((_let_26 (= tptp.mimplies (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mor (@ tptp.mnot Phi)) Psi) __flatten_var_0))))) (let ((_let_27 (= tptp.mand (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mor (@ tptp.mnot Phi)) (@ tptp.mnot Psi))) __flatten_var_0))))) (let ((_let_28 (= tptp.mfalse (@ tptp.mnot tptp.mtrue)))) (let ((_let_29 (= tptp.mtrue (lambda ((W $$unsorted)) true)))) (let ((_let_30 (= tptp.mforall_prop (lambda ((Phi (-> (-> $$unsorted Bool) $$unsorted Bool)) (W $$unsorted)) (forall ((P (-> $$unsorted Bool))) (@ (@ Phi P) W)))))) (let ((_let_31 (= tptp.mbox (lambda ((R (-> $$unsorted $$unsorted Bool)) (Phi (-> $$unsorted Bool)) (W $$unsorted)) (forall ((V $$unsorted)) (or (not (@ (@ R W) V)) (@ Phi V))))))) (let ((_let_32 (= tptp.mor (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (W $$unsorted)) (or (@ Phi W) (@ Psi W)))))) (let ((_let_33 (= tptp.mnot (lambda ((Phi (-> $$unsorted Bool)) (W $$unsorted)) (not (@ Phi W)))))) (let ((_let_34 (= tptp.meq_prop (lambda ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool)) (W $$unsorted)) (= (@ X W) (@ Y W)))))) (let ((_let_35 (forall ((W $$unsorted) (X tptp.mu)) (or (not (ho_4 (ho_3 k_2 X) W)) (ho_4 (ho_3 (ho_8 k_7 X) X) W))))) (let ((_let_36 (ho_8 k_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45))) (let ((_let_37 (ho_4 (ho_3 _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42))) (let ((_let_38 (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37))) (let ((_let_41 (ASSUME :args (_let_34)))) (let ((_let_42 (ASSUME :args (_let_33)))) (let ((_let_43 (ASSUME :args (_let_32)))) (let ((_let_44 (ASSUME :args (_let_31)))) (let ((_let_45 (ASSUME :args (_let_30)))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_46 _let_45 _let_44 _let_43 _let_42 _let_41) :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41) :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41) :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41) :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41) :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41) :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_52 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41) :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41) :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_55 _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41) :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (ASSUME :args (_let_18)))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (ASSUME :args (_let_8)))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (ASSUME :args (_let_5)))) (let ((_let_71 (ASSUME :args (_let_4)))) (let ((_let_72 (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_71 _let_70 _let_69 _let_68 _let_67 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41) :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) _let_71 _let_70 _let_69 _let_68 _let_67 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO _let_72 :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((W $$unsorted) (X tptp.mu)) (or (not (@ (@ tptp.exists_in_world X) W)) (@ (@ (@ tptp.qmltpeq X) X) W))) _let_35))))))) (let ((_let_74 (not _let_40))) (let ((_let_75 (or (and (not (forall ((BOUND_VARIABLE_16887 tptp.mu)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_16887) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_25 BOUND_VARIABLE_16887) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_26 BOUND_VARIABLE_16887) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_21 BOUND_VARIABLE_16887) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 (ho_8 k_14 BOUND_VARIABLE_16887) BOUND_VARIABLE_16887) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42))))) (not (forall ((BOUND_VARIABLE_17066 tptp.mu) (BOUND_VARIABLE_16913 tptp.mu)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_17066) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_15 BOUND_VARIABLE_17066) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_17066) BOUND_VARIABLE_17066) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_16913) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_11 BOUND_VARIABLE_16913) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_10 BOUND_VARIABLE_16913) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_27 BOUND_VARIABLE_16913) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_13 BOUND_VARIABLE_16913) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_23 BOUND_VARIABLE_16913) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 (ho_8 k_9 BOUND_VARIABLE_17066) BOUND_VARIABLE_16913) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42))))) (not (forall ((BOUND_VARIABLE_17220 tptp.mu)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_17220) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_19 BOUND_VARIABLE_17220) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_12 BOUND_VARIABLE_17220) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42))))) (not (forall ((BOUND_VARIABLE_17403 tptp.mu) (BOUND_VARIABLE_17241 tptp.mu) (BOUND_VARIABLE_17239 tptp.mu)) (let ((_let_1 (ho_8 k_7 BOUND_VARIABLE_17239))) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_17403) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_24 BOUND_VARIABLE_17403) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_18 BOUND_VARIABLE_17403) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_17 BOUND_VARIABLE_17403) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_17239) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (ho_4 (ho_3 _let_1 BOUND_VARIABLE_17239) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42) (not (ho_4 (ho_3 k_16 BOUND_VARIABLE_17239) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_22 BOUND_VARIABLE_17239) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_28 BOUND_VARIABLE_17239) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_17241) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 _let_1 BOUND_VARIABLE_17241) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_17241) BOUND_VARIABLE_17403) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)))))) (not (forall ((X tptp.mu) (BOUND_VARIABLE_17430 tptp.mu) (BOUND_VARIABLE_17428 tptp.mu)) (or (not (ho_4 (ho_3 k_2 X) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_24 X) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_18 X) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_17 X) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_17428) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_16 BOUND_VARIABLE_17428) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_22 BOUND_VARIABLE_17428) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_28 BOUND_VARIABLE_17428) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_17430) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 (ho_8 k_7 BOUND_VARIABLE_17428) BOUND_VARIABLE_17430) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_17430) X) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)))))) (not (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 (ho_8 k_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 (ho_8 k_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 (ho_8 k_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) _let_39 _let_37 (not (ho_4 (ho_3 k_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 (ho_8 k_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 (ho_8 k_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) (not (ho_4 (ho_3 (ho_8 k_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42))))) (let ((_let_76 (forall ((BOUND_VARIABLE_18285 $$unsorted) (BOUND_VARIABLE_18744 tptp.mu) (BOUND_VARIABLE_18742 tptp.mu) (BOUND_VARIABLE_18702 tptp.mu) (BOUND_VARIABLE_18700 tptp.mu) (BOUND_VARIABLE_18698 tptp.mu) (BOUND_VARIABLE_18686 tptp.mu) (BOUND_VARIABLE_18657 tptp.mu) (BOUND_VARIABLE_18746 tptp.mu) (BOUND_VARIABLE_18655 tptp.mu) (BOUND_VARIABLE_18630 tptp.mu)) (let ((_let_1 (ho_8 k_7 BOUND_VARIABLE_18702))) (or (and (not (forall ((BOUND_VARIABLE_16887 tptp.mu)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_16887) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_25 BOUND_VARIABLE_16887) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_26 BOUND_VARIABLE_16887) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_21 BOUND_VARIABLE_16887) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 (ho_8 k_14 BOUND_VARIABLE_16887) BOUND_VARIABLE_16887) BOUND_VARIABLE_18285))))) (not (forall ((BOUND_VARIABLE_17066 tptp.mu) (BOUND_VARIABLE_16913 tptp.mu)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_17066) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_15 BOUND_VARIABLE_17066) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_17066) BOUND_VARIABLE_17066) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_16913) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_11 BOUND_VARIABLE_16913) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_10 BOUND_VARIABLE_16913) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_27 BOUND_VARIABLE_16913) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_13 BOUND_VARIABLE_16913) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_23 BOUND_VARIABLE_16913) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 (ho_8 k_9 BOUND_VARIABLE_17066) BOUND_VARIABLE_16913) BOUND_VARIABLE_18285))))) (not (forall ((BOUND_VARIABLE_17220 tptp.mu)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_17220) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_19 BOUND_VARIABLE_17220) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_12 BOUND_VARIABLE_17220) BOUND_VARIABLE_18285))))) (not (forall ((BOUND_VARIABLE_17403 tptp.mu) (BOUND_VARIABLE_17241 tptp.mu) (BOUND_VARIABLE_17239 tptp.mu)) (let ((_let_1 (ho_8 k_7 BOUND_VARIABLE_17239))) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_17403) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_24 BOUND_VARIABLE_17403) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_18 BOUND_VARIABLE_17403) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_17 BOUND_VARIABLE_17403) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_17239) BOUND_VARIABLE_18285)) (ho_4 (ho_3 _let_1 BOUND_VARIABLE_17239) BOUND_VARIABLE_18285) (not (ho_4 (ho_3 k_16 BOUND_VARIABLE_17239) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_22 BOUND_VARIABLE_17239) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_28 BOUND_VARIABLE_17239) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_17241) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 _let_1 BOUND_VARIABLE_17241) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_17241) BOUND_VARIABLE_17403) BOUND_VARIABLE_18285)))))) (not (forall ((X tptp.mu) (BOUND_VARIABLE_17430 tptp.mu) (BOUND_VARIABLE_17428 tptp.mu)) (or (not (ho_4 (ho_3 k_2 X) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_24 X) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_18 X) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_17 X) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_17428) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_16 BOUND_VARIABLE_17428) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_22 BOUND_VARIABLE_17428) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_28 BOUND_VARIABLE_17428) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_17430) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 (ho_8 k_7 BOUND_VARIABLE_17428) BOUND_VARIABLE_17430) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_17430) X) BOUND_VARIABLE_18285)))))) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_18630) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_11 BOUND_VARIABLE_18630) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_10 BOUND_VARIABLE_18630) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_27 BOUND_VARIABLE_18630) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_13 BOUND_VARIABLE_18630) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_23 BOUND_VARIABLE_18630) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 (ho_8 k_9 BOUND_VARIABLE_18630) BOUND_VARIABLE_18630) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_18655) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_15 BOUND_VARIABLE_18655) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_18655) BOUND_VARIABLE_18655) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_18657) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_25 BOUND_VARIABLE_18657) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_26 BOUND_VARIABLE_18657) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_21 BOUND_VARIABLE_18657) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 (ho_8 k_14 BOUND_VARIABLE_18655) BOUND_VARIABLE_18657) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_18686) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_19 BOUND_VARIABLE_18686) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_12 BOUND_VARIABLE_18686) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_18698) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_24 BOUND_VARIABLE_18698) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_18 BOUND_VARIABLE_18698) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_17 BOUND_VARIABLE_18698) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_18702) BOUND_VARIABLE_18285)) (ho_4 (ho_3 _let_1 BOUND_VARIABLE_18702) BOUND_VARIABLE_18285) (not (ho_4 (ho_3 k_16 BOUND_VARIABLE_18702) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_22 BOUND_VARIABLE_18702) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_28 BOUND_VARIABLE_18702) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_18700) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 _let_1 BOUND_VARIABLE_18700) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_18700) BOUND_VARIABLE_18698) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_18742) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_24 BOUND_VARIABLE_18742) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_18 BOUND_VARIABLE_18742) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_17 BOUND_VARIABLE_18742) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_18746) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_16 BOUND_VARIABLE_18746) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_22 BOUND_VARIABLE_18746) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_28 BOUND_VARIABLE_18746) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_18744) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 (ho_8 k_7 BOUND_VARIABLE_18746) BOUND_VARIABLE_18744) BOUND_VARIABLE_18285)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_18744) BOUND_VARIABLE_18742) BOUND_VARIABLE_18285))))))) (let ((_let_77 (not _let_75))) (let ((_let_78 (forall ((BOUND_VARIABLE_18100 $$unsorted) (BOUND_VARIABLE_18587 tptp.mu) (BOUND_VARIABLE_18585 tptp.mu) (BOUND_VARIABLE_18543 tptp.mu) (BOUND_VARIABLE_18541 tptp.mu) (BOUND_VARIABLE_18539 tptp.mu) (BOUND_VARIABLE_18527 tptp.mu) (BOUND_VARIABLE_18583 tptp.mu) (BOUND_VARIABLE_18492 tptp.mu) (BOUND_VARIABLE_18490 tptp.mu) (BOUND_VARIABLE_18471 tptp.mu)) (let ((_let_1 (ho_8 k_7 BOUND_VARIABLE_18543))) (or (and (not (forall ((BOUND_VARIABLE_12300 tptp.mu)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12300) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_11 BOUND_VARIABLE_12300) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_10 BOUND_VARIABLE_12300) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_27 BOUND_VARIABLE_12300) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_13 BOUND_VARIABLE_12300) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_23 BOUND_VARIABLE_12300) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 (ho_8 k_9 BOUND_VARIABLE_12300) BOUND_VARIABLE_12300) BOUND_VARIABLE_18100))))) (not (forall ((BOUND_VARIABLE_12479 tptp.mu) (BOUND_VARIABLE_12332 tptp.mu)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12479) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_15 BOUND_VARIABLE_12479) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_12479) BOUND_VARIABLE_12479) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12332) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_25 BOUND_VARIABLE_12332) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_26 BOUND_VARIABLE_12332) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_21 BOUND_VARIABLE_12332) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 (ho_8 k_14 BOUND_VARIABLE_12479) BOUND_VARIABLE_12332) BOUND_VARIABLE_18100))))) (not (forall ((BOUND_VARIABLE_12633 tptp.mu)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12633) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_19 BOUND_VARIABLE_12633) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_12 BOUND_VARIABLE_12633) BOUND_VARIABLE_18100))))) (not (forall ((BOUND_VARIABLE_12816 tptp.mu) (BOUND_VARIABLE_12654 tptp.mu) (BOUND_VARIABLE_12652 tptp.mu)) (let ((_let_1 (ho_8 k_7 BOUND_VARIABLE_12652))) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12816) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_24 BOUND_VARIABLE_12816) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_18 BOUND_VARIABLE_12816) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_17 BOUND_VARIABLE_12816) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12652) BOUND_VARIABLE_18100)) (ho_4 (ho_3 _let_1 BOUND_VARIABLE_12652) BOUND_VARIABLE_18100) (not (ho_4 (ho_3 k_16 BOUND_VARIABLE_12652) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_22 BOUND_VARIABLE_12652) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_28 BOUND_VARIABLE_12652) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12654) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 _let_1 BOUND_VARIABLE_12654) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_12654) BOUND_VARIABLE_12816) BOUND_VARIABLE_18100)))))) (not (forall ((X tptp.mu) (BOUND_VARIABLE_12843 tptp.mu) (BOUND_VARIABLE_12841 tptp.mu)) (or (not (ho_4 (ho_3 k_2 X) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_24 X) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_18 X) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_17 X) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12841) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_16 BOUND_VARIABLE_12841) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_22 BOUND_VARIABLE_12841) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_28 BOUND_VARIABLE_12841) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12843) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 (ho_8 k_7 BOUND_VARIABLE_12841) BOUND_VARIABLE_12843) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_12843) X) BOUND_VARIABLE_18100)))))) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_18471) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_25 BOUND_VARIABLE_18471) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_26 BOUND_VARIABLE_18471) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_21 BOUND_VARIABLE_18471) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 (ho_8 k_14 BOUND_VARIABLE_18471) BOUND_VARIABLE_18471) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_18490) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_15 BOUND_VARIABLE_18490) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_18490) BOUND_VARIABLE_18490) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_18492) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_11 BOUND_VARIABLE_18492) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_10 BOUND_VARIABLE_18492) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_27 BOUND_VARIABLE_18492) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_13 BOUND_VARIABLE_18492) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_23 BOUND_VARIABLE_18492) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 (ho_8 k_9 BOUND_VARIABLE_18490) BOUND_VARIABLE_18492) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_18527) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_19 BOUND_VARIABLE_18527) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_12 BOUND_VARIABLE_18527) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_18539) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_24 BOUND_VARIABLE_18539) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_18 BOUND_VARIABLE_18539) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_17 BOUND_VARIABLE_18539) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_18543) BOUND_VARIABLE_18100)) (ho_4 (ho_3 _let_1 BOUND_VARIABLE_18543) BOUND_VARIABLE_18100) (not (ho_4 (ho_3 k_16 BOUND_VARIABLE_18543) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_22 BOUND_VARIABLE_18543) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_28 BOUND_VARIABLE_18543) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_18541) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 _let_1 BOUND_VARIABLE_18541) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_18541) BOUND_VARIABLE_18539) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_18583) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_24 BOUND_VARIABLE_18583) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_18 BOUND_VARIABLE_18583) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_17 BOUND_VARIABLE_18583) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_18587) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_16 BOUND_VARIABLE_18587) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_22 BOUND_VARIABLE_18587) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_28 BOUND_VARIABLE_18587) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_18585) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 (ho_8 k_7 BOUND_VARIABLE_18587) BOUND_VARIABLE_18585) BOUND_VARIABLE_18100)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_18585) BOUND_VARIABLE_18583) BOUND_VARIABLE_18100))))))) (let ((_let_79 (not _let_76))) (let ((_let_80 (ho_8 k_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_81 (ho_4 (ho_3 _let_80 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_82 (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or (and (not (forall ((BOUND_VARIABLE_12300 tptp.mu)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12300) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_11 BOUND_VARIABLE_12300) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_10 BOUND_VARIABLE_12300) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_27 BOUND_VARIABLE_12300) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_13 BOUND_VARIABLE_12300) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_23 BOUND_VARIABLE_12300) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 (ho_8 k_9 BOUND_VARIABLE_12300) BOUND_VARIABLE_12300) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))))) (not (forall ((BOUND_VARIABLE_12479 tptp.mu) (BOUND_VARIABLE_12332 tptp.mu)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12479) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_15 BOUND_VARIABLE_12479) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_12479) BOUND_VARIABLE_12479) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12332) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_25 BOUND_VARIABLE_12332) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_26 BOUND_VARIABLE_12332) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_21 BOUND_VARIABLE_12332) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 (ho_8 k_14 BOUND_VARIABLE_12479) BOUND_VARIABLE_12332) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))))) (not (forall ((BOUND_VARIABLE_12633 tptp.mu)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12633) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_19 BOUND_VARIABLE_12633) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_12 BOUND_VARIABLE_12633) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))))) (not (forall ((BOUND_VARIABLE_12816 tptp.mu) (BOUND_VARIABLE_12654 tptp.mu) (BOUND_VARIABLE_12652 tptp.mu)) (let ((_let_1 (ho_8 k_7 BOUND_VARIABLE_12652))) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12816) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_24 BOUND_VARIABLE_12816) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_18 BOUND_VARIABLE_12816) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_17 BOUND_VARIABLE_12816) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12652) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (ho_4 (ho_3 _let_1 BOUND_VARIABLE_12652) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29) (not (ho_4 (ho_3 k_16 BOUND_VARIABLE_12652) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_22 BOUND_VARIABLE_12652) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_28 BOUND_VARIABLE_12652) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12654) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 _let_1 BOUND_VARIABLE_12654) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_12654) BOUND_VARIABLE_12816) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)))))) (not (forall ((X tptp.mu) (BOUND_VARIABLE_12843 tptp.mu) (BOUND_VARIABLE_12841 tptp.mu)) (or (not (ho_4 (ho_3 k_2 X) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_24 X) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_18 X) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_17 X) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12841) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_16 BOUND_VARIABLE_12841) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_22 BOUND_VARIABLE_12841) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_28 BOUND_VARIABLE_12841) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_12843) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 (ho_8 k_7 BOUND_VARIABLE_12841) BOUND_VARIABLE_12843) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 (ho_8 k_20 BOUND_VARIABLE_12843) X) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)))))) (not (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 (ho_8 k_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 (ho_8 k_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38) 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(ho_3 k_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) _let_83 _let_81 (not (ho_4 (ho_3 k_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 _let_80 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (ho_4 (ho_3 (ho_8 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(not (@ (@ tptp.exists_in_world BOUND_VARIABLE_18702) BOUND_VARIABLE_18285)) (@ (@ _let_1 BOUND_VARIABLE_18702) BOUND_VARIABLE_18285) (not (@ (@ tptp.fellow BOUND_VARIABLE_18702) BOUND_VARIABLE_18285)) (not (@ (@ tptp.man BOUND_VARIABLE_18702) BOUND_VARIABLE_18285)) (not (@ (@ tptp.young BOUND_VARIABLE_18702) BOUND_VARIABLE_18285)) (not (@ (@ tptp.exists_in_world BOUND_VARIABLE_18700) BOUND_VARIABLE_18285)) (not (@ (@ _let_1 BOUND_VARIABLE_18700) BOUND_VARIABLE_18285)) (not (@ (@ (@ tptp.in BOUND_VARIABLE_18700) BOUND_VARIABLE_18698) BOUND_VARIABLE_18285)) (not (@ (@ tptp.exists_in_world BOUND_VARIABLE_18742) BOUND_VARIABLE_18285)) (not (@ (@ tptp.seat BOUND_VARIABLE_18742) BOUND_VARIABLE_18285)) (not (@ (@ tptp.furniture BOUND_VARIABLE_18742) BOUND_VARIABLE_18285)) (not (@ (@ tptp.front BOUND_VARIABLE_18742) BOUND_VARIABLE_18285)) (not (@ (@ tptp.exists_in_world BOUND_VARIABLE_18746) BOUND_VARIABLE_18285)) (not (@ (@ tptp.fellow BOUND_VARIABLE_18746) BOUND_VARIABLE_18285)) (not (@ (@ tptp.man BOUND_VARIABLE_18746) BOUND_VARIABLE_18285)) (not (@ (@ tptp.young BOUND_VARIABLE_18746) BOUND_VARIABLE_18285)) (not (@ (@ tptp.exists_in_world BOUND_VARIABLE_18744) BOUND_VARIABLE_18285)) (not (@ (@ (@ tptp.qmltpeq BOUND_VARIABLE_18746) BOUND_VARIABLE_18744) BOUND_VARIABLE_18285)) (not (@ (@ (@ tptp.in BOUND_VARIABLE_18744) BOUND_VARIABLE_18742) BOUND_VARIABLE_18285))))))) (not (and _let_78 _let_76)))))))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_89)) :args _let_89)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_78))) (REFL :args ((not _let_84))) :args _let_86)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_83 _let_81 (not _let_85)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_87)) _let_73 :args (_let_85 false _let_35)) (CNF_OR_NEG :args (_let_84 24)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_84 23)) (CONG (REFL :args (_let_84)) (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_82))) :args _let_86)) :args ((or _let_82 _let_84))) :args (_let_84 false _let_85 true _let_81 false _let_82)) :args (_let_78 false _let_84)) :args (_let_79 false _let_78)) :args (_let_77 true _let_76)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_87)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_37 _let_74))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_75 23)) (CONG (REFL :args (_let_75)) (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_86)) :args ((or _let_38 _let_75))) _let_91 :args (_let_38 true _let_75)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_75 24)) _let_91 :args ((not _let_37) true _let_75)) :args (_let_74 false _let_38 true _let_37)) _let_73 :args (false true _let_40 false _let_35)) :args (_let_34 _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 (forall ((V $$unsorted)) (exists ((X tptp.mu)) (@ (@ tptp.exists_in_world X) V))) _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 (@ tptp.mreflexive tptp.rel_s4) (@ tptp.mtransitive tptp.rel_s4) (forall ((X tptp.mu) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (@ tptp.exists_in_world X))) (=> (and (@ _let_1 V) (@ (@ tptp.rel_s4 V) W)) (@ _let_1 W)))) _let_2 (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((Y tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.qmltpeq X) Y)) (@ (@ tptp.qmltpeq Y) X)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((Y tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((Z tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq X))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ _let_1 Y)) (@ (@ tptp.qmltpeq Y) Z))) (@ _let_1 Z)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ (@ tptp.barrel A) C))) (@ (@ tptp.barrel B) C)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.barrel C))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ _let_1 A))) (@ _let_1 B)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.car A))) (@ tptp.car B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.chevy A))) (@ tptp.chevy B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.city A))) (@ tptp.city B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.dirty A))) (@ tptp.dirty B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ (@ tptp.down A) C))) (@ (@ tptp.down B) C)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.down C))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ _let_1 A))) (@ _let_1 B)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.event A))) (@ tptp.event B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.fellow A))) (@ tptp.fellow B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.front A))) (@ tptp.front B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.furniture A))) (@ tptp.furniture B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.hollywood A))) (@ tptp.hollywood B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ (@ tptp.in A) C))) (@ (@ tptp.in B) C)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.in C))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ _let_1 A))) (@ _let_1 B)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.lonely A))) (@ tptp.lonely B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.man A))) (@ tptp.man B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.old A))) (@ tptp.old B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.seat A))) (@ tptp.seat B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.street A))) (@ tptp.street B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.way A))) (@ tptp.way B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.white A))) (@ tptp.white B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.young A))) (@ tptp.young B)) __flatten_var_0))) __flatten_var_0)))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.55/0.76 )
% 0.55/0.76 % SZS output end Proof for NLP004^7
% 0.55/0.76 % cvc5---1.0.5 exiting
% 0.55/0.76 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------