TSTP Solution File: NLP003^7 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NLP003^7 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 09:39:22 EDT 2023
% Result : Theorem 0.62s 0.85s
% Output : Proof 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : NLP003^7 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.16 % Command : do_cvc5 %s %d
% 0.16/0.37 % Computer : n001.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 24 13:16:56 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.53 %----Proving TH0
% 0.23/0.54 %------------------------------------------------------------------------------
% 0.23/0.54 % File : NLP003^7 : TPTP v8.1.2. Released v5.5.0.
% 0.23/0.54 % Domain : Natural Language Processing
% 0.23/0.54 % Problem : "The old dirty white Chevy" problem 3
% 0.23/0.54 % Version : [Ben12] axioms.
% 0.23/0.54 % English :
% 0.23/0.54
% 0.23/0.54 % Refs : [Bos00] Bos (2000), DORIS: Discourse Oriented Representation an
% 0.23/0.54 % : [Ben12] Benzmueller (2012), Email to Geoff Sutcliffe
% 0.23/0.54 % Source : [Ben12]
% 0.23/0.54 % Names : s4-cumul-NLP003+1 [Ben12]
% 0.23/0.54
% 0.23/0.54 % Status : CounterCounterSatisfiable
% 0.23/0.54 % Rating : 1.00 v8.1.0, 0.80 v7.4.0, 0.75 v7.2.0, 0.67 v5.5.0
% 0.23/0.54 % Syntax : Number of formulae : 188 ( 33 unt; 72 typ; 32 def)
% 0.23/0.54 % Number of atoms : 715 ( 36 equ; 0 cnn)
% 0.23/0.54 % Maximal formula atoms : 33 ( 6 avg)
% 0.23/0.54 % Number of connectives : 996 ( 5 ~; 5 |; 9 &; 967 @)
% 0.23/0.54 % ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% 0.23/0.54 % Maximal formula depth : 27 ( 8 avg)
% 0.23/0.54 % Number of types : 3 ( 1 usr)
% 0.23/0.54 % Number of type conns : 259 ( 259 >; 0 *; 0 +; 0 <<)
% 0.23/0.54 % Number of symbols : 81 ( 79 usr; 9 con; 0-4 aty)
% 0.23/0.54 % Number of variables : 245 ( 204 ^; 34 !; 7 ?; 245 :)
% 0.23/0.54 % SPC : TH0_CSA_EQU_NAR
% 0.23/0.54
% 0.23/0.54 % Comments :
% 0.23/0.54 %------------------------------------------------------------------------------
% 0.23/0.54 %----Include axioms for Modal logic S4 under cumulative domains
% 0.23/0.54 %------------------------------------------------------------------------------
% 0.23/0.54 %----Declaration of additional base type mu
% 0.23/0.54 thf(mu_type,type,
% 0.23/0.54 mu: $tType ).
% 0.23/0.54
% 0.23/0.54 %----Equality
% 0.23/0.54 thf(qmltpeq_type,type,
% 0.23/0.54 qmltpeq: mu > mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 % originale Definition
% 0.23/0.54 %thf(qmltpeq,definition,
% 0.23/0.54 % ( qmltpeq
% 0.23/0.54 % = ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) )).
% 0.23/0.54
% 0.23/0.54 % erweiterte Leibnitz-Definition
% 0.23/0.54 %thf(qmltpeq,definition,
% 0.23/0.54 % ( qmltpeq
% 0.23/0.54 % = ( ^ [X: mu,Y: mu,W: $i] : (![P: mu > $i > $o]: ( (P @ X @ W) <=> (P @ Y @ W) ) ) ) )).
% 0.23/0.54
% 0.23/0.54 % Leibnitz-Definition
% 0.23/0.54 %thf(qmltpeq,definition,
% 0.23/0.54 % ( qmltpeq
% 0.23/0.54 % = ( ^ [X: mu,Y: mu,W: $i] : (! [P: mu > $o]: ( (P @ X) <=> (P @ Y) ) ) ) )).
% 0.23/0.54
% 0.23/0.54 thf(meq_prop_type,type,
% 0.23/0.54 meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(meq_prop,definition,
% 0.23/0.54 ( meq_prop
% 0.23/0.54 = ( ^ [X: $i > $o,Y: $i > $o,W: $i] :
% 0.23/0.54 ( ( X @ W )
% 0.23/0.54 = ( Y @ W ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 %----Modal operators not, or, box, Pi
% 0.23/0.54 thf(mnot_type,type,
% 0.23/0.54 mnot: ( $i > $o ) > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mnot,definition,
% 0.23/0.54 ( mnot
% 0.23/0.54 = ( ^ [Phi: $i > $o,W: $i] :
% 0.23/0.54 ~ ( Phi @ W ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(mor_type,type,
% 0.23/0.54 mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mor,definition,
% 0.23/0.54 ( mor
% 0.23/0.54 = ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
% 0.23/0.54 ( ( Phi @ W )
% 0.23/0.54 | ( Psi @ W ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(mbox_type,type,
% 0.23/0.54 mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mbox,definition,
% 0.23/0.54 ( mbox
% 0.23/0.54 = ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
% 0.23/0.54 ! [V: $i] :
% 0.23/0.54 ( ~ ( R @ W @ V )
% 0.23/0.54 | ( Phi @ V ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(mforall_prop_type,type,
% 0.23/0.54 mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mforall_prop,definition,
% 0.23/0.54 ( mforall_prop
% 0.23/0.54 = ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
% 0.23/0.54 ! [P: $i > $o] : ( Phi @ P @ W ) ) ) ).
% 0.23/0.54
% 0.23/0.54 %----Further modal operators
% 0.23/0.54 thf(mtrue_type,type,
% 0.23/0.54 mtrue: $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mtrue,definition,
% 0.23/0.54 ( mtrue
% 0.23/0.54 = ( ^ [W: $i] : $true ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(mfalse_type,type,
% 0.23/0.54 mfalse: $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mfalse,definition,
% 0.23/0.54 ( mfalse
% 0.23/0.54 = ( mnot @ mtrue ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(mand_type,type,
% 0.23/0.54 mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mand,definition,
% 0.23/0.54 ( mand
% 0.23/0.54 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(mimplies_type,type,
% 0.23/0.54 mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mimplies,definition,
% 0.23/0.54 ( mimplies
% 0.23/0.54 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(mimplied_type,type,
% 0.23/0.54 mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mimplied,definition,
% 0.23/0.54 ( mimplied
% 0.23/0.54 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(mequiv_type,type,
% 0.23/0.54 mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mequiv,definition,
% 0.23/0.54 ( mequiv
% 0.23/0.54 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(mxor_type,type,
% 0.23/0.54 mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mxor,definition,
% 0.23/0.54 ( mxor
% 0.23/0.54 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(mdia_type,type,
% 0.23/0.54 mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mdia,definition,
% 0.23/0.54 ( mdia
% 0.23/0.54 = ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 %--- (new for cumulative)
% 0.23/0.54 %---Declaration of existence predicate for simulating cumulative domain
% 0.23/0.54 thf(exists_in_world_type,type,
% 0.23/0.54 exists_in_world: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 %----The domains are non-empty
% 0.23/0.54 thf(nonempty_ax,axiom,
% 0.23/0.54 ! [V: $i] :
% 0.23/0.54 ? [X: mu] : ( exists_in_world @ X @ V ) ).
% 0.23/0.54
% 0.23/0.54 thf(mforall_ind_type,type,
% 0.23/0.54 mforall_ind: ( mu > $i > $o ) > $i > $o ).
% 0.23/0.54
% 0.23/0.54 %--- (new for cumulative)
% 0.23/0.54 thf(mforall_ind,definition,
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 = ( ^ [Phi: mu > $i > $o,W: $i] :
% 0.23/0.54 ! [X: mu] :
% 0.23/0.54 ( ( exists_in_world @ X @ W )
% 0.23/0.54 => ( Phi @ X @ W ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 %thf(mforall_ind,definition,
% 0.23/0.54 % ( mforall_ind
% 0.23/0.54 % = ( ^ [Phi: mu > $i > $o,W: $i] :
% 0.23/0.54 % ! [X: mu] :
% 0.23/0.54 % ( Phi @ X @ W ) ) )).
% 0.23/0.54
% 0.23/0.54 thf(mexists_ind_type,type,
% 0.23/0.54 mexists_ind: ( mu > $i > $o ) > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mexists_ind,definition,
% 0.23/0.54 ( mexists_ind
% 0.23/0.54 = ( ^ [Phi: mu > $i > $o] :
% 0.23/0.54 ( mnot
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(mexists_prop_type,type,
% 0.23/0.54 mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mexists_prop,definition,
% 0.23/0.54 ( mexists_prop
% 0.23/0.54 = ( ^ [Phi: ( $i > $o ) > $i > $o] :
% 0.23/0.54 ( mnot
% 0.23/0.54 @ ( mforall_prop
% 0.23/0.54 @ ^ [P: $i > $o] : ( mnot @ ( Phi @ P ) ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 %----Definition of properties of accessibility relations
% 0.23/0.54 thf(mreflexive_type,type,
% 0.23/0.54 mreflexive: ( $i > $i > $o ) > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mreflexive,definition,
% 0.23/0.54 ( mreflexive
% 0.23/0.54 = ( ^ [R: $i > $i > $o] :
% 0.23/0.54 ! [S: $i] : ( R @ S @ S ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(msymmetric_type,type,
% 0.23/0.54 msymmetric: ( $i > $i > $o ) > $o ).
% 0.23/0.54
% 0.23/0.54 thf(msymmetric,definition,
% 0.23/0.54 ( msymmetric
% 0.23/0.54 = ( ^ [R: $i > $i > $o] :
% 0.23/0.54 ! [S: $i,T: $i] :
% 0.23/0.54 ( ( R @ S @ T )
% 0.23/0.54 => ( R @ T @ S ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(mserial_type,type,
% 0.23/0.54 mserial: ( $i > $i > $o ) > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mserial,definition,
% 0.23/0.54 ( mserial
% 0.23/0.54 = ( ^ [R: $i > $i > $o] :
% 0.23/0.54 ! [S: $i] :
% 0.23/0.54 ? [T: $i] : ( R @ S @ T ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(mtransitive_type,type,
% 0.23/0.54 mtransitive: ( $i > $i > $o ) > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mtransitive,definition,
% 0.23/0.54 ( mtransitive
% 0.23/0.54 = ( ^ [R: $i > $i > $o] :
% 0.23/0.54 ! [S: $i,T: $i,U: $i] :
% 0.23/0.54 ( ( ( R @ S @ T )
% 0.23/0.54 & ( R @ T @ U ) )
% 0.23/0.54 => ( R @ S @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(meuclidean_type,type,
% 0.23/0.54 meuclidean: ( $i > $i > $o ) > $o ).
% 0.23/0.54
% 0.23/0.54 thf(meuclidean,definition,
% 0.23/0.54 ( meuclidean
% 0.23/0.54 = ( ^ [R: $i > $i > $o] :
% 0.23/0.54 ! [S: $i,T: $i,U: $i] :
% 0.23/0.54 ( ( ( R @ S @ T )
% 0.23/0.54 & ( R @ S @ U ) )
% 0.23/0.54 => ( R @ T @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(mpartially_functional_type,type,
% 0.23/0.54 mpartially_functional: ( $i > $i > $o ) > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mpartially_functional,definition,
% 0.23/0.54 ( mpartially_functional
% 0.23/0.54 = ( ^ [R: $i > $i > $o] :
% 0.23/0.54 ! [S: $i,T: $i,U: $i] :
% 0.23/0.54 ( ( ( R @ S @ T )
% 0.23/0.54 & ( R @ S @ U ) )
% 0.23/0.54 => ( T = U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(mfunctional_type,type,
% 0.23/0.54 mfunctional: ( $i > $i > $o ) > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mfunctional,definition,
% 0.23/0.54 ( mfunctional
% 0.23/0.54 = ( ^ [R: $i > $i > $o] :
% 0.23/0.54 ! [S: $i] :
% 0.23/0.54 ? [T: $i] :
% 0.23/0.54 ( ( R @ S @ T )
% 0.23/0.54 & ! [U: $i] :
% 0.23/0.54 ( ( R @ S @ U )
% 0.23/0.54 => ( T = U ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(mweakly_dense_type,type,
% 0.23/0.54 mweakly_dense: ( $i > $i > $o ) > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mweakly_dense,definition,
% 0.23/0.54 ( mweakly_dense
% 0.23/0.54 = ( ^ [R: $i > $i > $o] :
% 0.23/0.54 ! [S: $i,T: $i,U: $i] :
% 0.23/0.54 ( ( R @ S @ T )
% 0.23/0.54 => ? [U: $i] :
% 0.23/0.54 ( ( R @ S @ U )
% 0.23/0.54 & ( R @ U @ T ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(mweakly_connected_type,type,
% 0.23/0.54 mweakly_connected: ( $i > $i > $o ) > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mweakly_connected,definition,
% 0.23/0.54 ( mweakly_connected
% 0.23/0.54 = ( ^ [R: $i > $i > $o] :
% 0.23/0.54 ! [S: $i,T: $i,U: $i] :
% 0.23/0.54 ( ( ( R @ S @ T )
% 0.23/0.54 & ( R @ S @ U ) )
% 0.23/0.54 => ( ( R @ T @ U )
% 0.23/0.54 | ( T = U )
% 0.23/0.54 | ( R @ U @ T ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(mweakly_directed_type,type,
% 0.23/0.54 mweakly_directed: ( $i > $i > $o ) > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mweakly_directed,definition,
% 0.23/0.54 ( mweakly_directed
% 0.23/0.54 = ( ^ [R: $i > $i > $o] :
% 0.23/0.54 ! [S: $i,T: $i,U: $i] :
% 0.23/0.54 ( ( ( R @ S @ T )
% 0.23/0.54 & ( R @ S @ U ) )
% 0.23/0.54 => ? [V: $i] :
% 0.23/0.54 ( ( R @ T @ V )
% 0.23/0.54 & ( R @ U @ V ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 %----Definition of validity
% 0.23/0.54 thf(mvalid_type,type,
% 0.23/0.54 mvalid: ( $i > $o ) > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mvalid,definition,
% 0.23/0.54 ( mvalid
% 0.23/0.54 = ( ^ [Phi: $i > $o] :
% 0.23/0.54 ! [W: $i] : ( Phi @ W ) ) ) ).
% 0.23/0.54
% 0.23/0.54 %----Definition of satisfiability
% 0.23/0.54 thf(msatisfiable_type,type,
% 0.23/0.54 msatisfiable: ( $i > $o ) > $o ).
% 0.23/0.54
% 0.23/0.54 thf(msatisfiable,definition,
% 0.23/0.54 ( msatisfiable
% 0.23/0.54 = ( ^ [Phi: $i > $o] :
% 0.23/0.54 ? [W: $i] : ( Phi @ W ) ) ) ).
% 0.23/0.54
% 0.23/0.54 %----Definition of countersatisfiability
% 0.23/0.54 thf(mcountersatisfiable_type,type,
% 0.23/0.54 mcountersatisfiable: ( $i > $o ) > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mcountersatisfiable,definition,
% 0.23/0.54 ( mcountersatisfiable
% 0.23/0.54 = ( ^ [Phi: $i > $o] :
% 0.23/0.54 ? [W: $i] :
% 0.23/0.54 ~ ( Phi @ W ) ) ) ).
% 0.23/0.54
% 0.23/0.54 %----Definition of invalidity
% 0.23/0.54 thf(minvalid_type,type,
% 0.23/0.54 minvalid: ( $i > $o ) > $o ).
% 0.23/0.54
% 0.23/0.54 thf(minvalid,definition,
% 0.23/0.54 ( minvalid
% 0.23/0.54 = ( ^ [Phi: $i > $o] :
% 0.23/0.54 ! [W: $i] :
% 0.23/0.54 ~ ( Phi @ W ) ) ) ).
% 0.23/0.54
% 0.23/0.54 %------------------------------------------------------------------------------
% 0.23/0.54 %------------------------------------------------------------------------------
% 0.23/0.54 %----We reserve an accessibility relation constant rel_s4
% 0.23/0.54 thf(rel_s4_type,type,
% 0.23/0.54 rel_s4: $i > $i > $o ).
% 0.23/0.54
% 0.23/0.54 %----We define mbox_s4 and mdia_s4 based on rel_s4
% 0.23/0.54 thf(mbox_s4_type,type,
% 0.23/0.54 mbox_s4: ( $i > $o ) > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mbox_s4,definition,
% 0.23/0.54 ( mbox_s4
% 0.23/0.54 = ( ^ [Phi: $i > $o,W: $i] :
% 0.23/0.54 ! [V: $i] :
% 0.23/0.54 ( ~ ( rel_s4 @ W @ V )
% 0.23/0.54 | ( Phi @ V ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(mdia_s4_type,type,
% 0.23/0.54 mdia_s4: ( $i > $o ) > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(mdia_s4,definition,
% 0.23/0.54 ( mdia_s4
% 0.23/0.54 = ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_s4 @ ( mnot @ Phi ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 %----We have now two options for stating the B conditions:
% 0.23/0.54 %----We can (i) directly formulate conditions for the accessibility relation
% 0.23/0.54 %----constant or we can (ii) state corresponding axioms. We here prefer (i)
% 0.23/0.54 thf(a1,axiom,
% 0.23/0.54 mreflexive @ rel_s4 ).
% 0.23/0.54
% 0.23/0.54 thf(a2,axiom,
% 0.23/0.54 mtransitive @ rel_s4 ).
% 0.23/0.54
% 0.23/0.54 %------------------------------------------------------------------------------
% 0.23/0.54 %------------------------------------------------------------------------------
% 0.23/0.54 thf(cumulative_ax,axiom,
% 0.23/0.54 ! [X: mu,V: $i,W: $i] :
% 0.23/0.54 ( ( ( exists_in_world @ X @ V )
% 0.23/0.54 & ( rel_s4 @ V @ W ) )
% 0.23/0.54 => ( exists_in_world @ X @ W ) ) ).
% 0.23/0.54
% 0.23/0.54 %------------------------------------------------------------------------------
% 0.23/0.54 %------------------------------------------------------------------------------
% 0.23/0.54 thf(vehicle_type,type,
% 0.23/0.54 vehicle: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(transport_type,type,
% 0.23/0.54 transport: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(instrumentality_type,type,
% 0.23/0.54 instrumentality: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(artifact_type,type,
% 0.23/0.54 artifact: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(location_type,type,
% 0.23/0.54 location: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(object_type,type,
% 0.23/0.54 object: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(new_type,type,
% 0.23/0.54 new: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(eventuality_type,type,
% 0.23/0.54 eventuality: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(abstraction_type,type,
% 0.23/0.54 abstraction: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(man_type,type,
% 0.23/0.54 man: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(male_type,type,
% 0.23/0.54 male: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(female_type,type,
% 0.23/0.54 female: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(woman_type,type,
% 0.23/0.54 woman: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(proposition_type,type,
% 0.23/0.54 proposition: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(drs_type,type,
% 0.23/0.54 drs: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(entity_type,type,
% 0.23/0.54 entity: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(owner_type,type,
% 0.23/0.54 owner: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(human_type,type,
% 0.23/0.54 human: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(nonhuman_type,type,
% 0.23/0.54 nonhuman: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(have_type,type,
% 0.23/0.54 have: mu > mu > mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(of_type,type,
% 0.23/0.54 of: mu > mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(partof_type,type,
% 0.23/0.54 partof: mu > mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(in_type,type,
% 0.23/0.54 in: mu > mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(down_type,type,
% 0.23/0.54 down: mu > mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(barrel_type,type,
% 0.23/0.54 barrel: mu > mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(lonely_type,type,
% 0.23/0.54 lonely: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(way_type,type,
% 0.23/0.54 way: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(street_type,type,
% 0.23/0.54 street: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(old_type,type,
% 0.23/0.54 old: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(dirty_type,type,
% 0.23/0.54 dirty: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(white_type,type,
% 0.23/0.54 white: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(car_type,type,
% 0.23/0.54 car: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(chevy_type,type,
% 0.23/0.54 chevy: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(event_type,type,
% 0.23/0.54 event: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(city_type,type,
% 0.23/0.54 city: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(hollywood_type,type,
% 0.23/0.54 hollywood: mu > $i > $o ).
% 0.23/0.54
% 0.23/0.54 thf(reflexivity,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [X: mu] : ( qmltpeq @ X @ X ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(symmetry,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [X: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [Y: mu] : ( mimplies @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ X ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(transitivity,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [X: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [Y: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [Z: mu] : ( mimplies @ ( mand @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ Z ) ) @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(abstraction_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( abstraction @ A ) ) @ ( abstraction @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(artifact_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( artifact @ A ) ) @ ( artifact @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(barrel_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( barrel @ A @ C ) ) @ ( barrel @ B @ C ) ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(barrel_substitution_2,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( barrel @ C @ A ) ) @ ( barrel @ C @ B ) ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(car_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( car @ A ) ) @ ( car @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(chevy_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( chevy @ A ) ) @ ( chevy @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(city_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( city @ A ) ) @ ( city @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(dirty_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( dirty @ A ) ) @ ( dirty @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(down_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( down @ A @ C ) ) @ ( down @ B @ C ) ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(down_substitution_2,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( down @ C @ A ) ) @ ( down @ C @ B ) ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(drs_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( drs @ A ) ) @ ( drs @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(entity_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( entity @ A ) ) @ ( entity @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(event_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( event @ A ) ) @ ( event @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(eventuality_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( eventuality @ A ) ) @ ( eventuality @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(female_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( female @ A ) ) @ ( female @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(have_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [C: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [D: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( have @ A @ C @ D ) ) @ ( have @ B @ C @ D ) ) ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(have_substitution_2,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [C: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [D: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( have @ C @ A @ D ) ) @ ( have @ C @ B @ D ) ) ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(have_substitution_3,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [C: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [D: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( have @ C @ D @ A ) ) @ ( have @ C @ D @ B ) ) ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(hollywood_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( hollywood @ A ) ) @ ( hollywood @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(human_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( human @ A ) ) @ ( human @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(in_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ A @ C ) ) @ ( in @ B @ C ) ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(in_substitution_2,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ C @ A ) ) @ ( in @ C @ B ) ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(instrumentality_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( instrumentality @ A ) ) @ ( instrumentality @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(location_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( location @ A ) ) @ ( location @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(lonely_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( lonely @ A ) ) @ ( lonely @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(male_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( male @ A ) ) @ ( male @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(man_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( man @ A ) ) @ ( man @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(new_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( new @ A ) ) @ ( new @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(nonhuman_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( nonhuman @ A ) ) @ ( nonhuman @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(object_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( object @ A ) ) @ ( object @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(of_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( of @ A @ C ) ) @ ( of @ B @ C ) ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(of_substitution_2,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( of @ C @ A ) ) @ ( of @ C @ B ) ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(old_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( old @ A ) ) @ ( old @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(owner_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( owner @ A ) ) @ ( owner @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(partof_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( partof @ A @ C ) ) @ ( partof @ B @ C ) ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(partof_substitution_2,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [C: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( partof @ C @ A ) ) @ ( partof @ C @ B ) ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(proposition_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( proposition @ A ) ) @ ( proposition @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(street_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( street @ A ) ) @ ( street @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(transport_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( transport @ A ) ) @ ( transport @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(vehicle_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( vehicle @ A ) ) @ ( vehicle @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(way_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( way @ A ) ) @ ( way @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(white_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( white @ A ) ) @ ( white @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(woman_substitution_1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [A: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [B: mu] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( woman @ A ) ) @ ( woman @ B ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax1,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( chevy @ U ) @ ( car @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax2,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( car @ U ) @ ( vehicle @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax3,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( vehicle @ U ) @ ( transport @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax4,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( transport @ U ) @ ( instrumentality @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax5,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( instrumentality @ U ) @ ( artifact @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax6,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( instrumentality @ U ) @ ( mnot @ ( way @ U ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax7,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( street @ U ) @ ( way @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax8,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( way @ U ) @ ( artifact @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax9,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( artifact @ U ) @ ( object @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax10,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( artifact @ U ) @ ( mnot @ ( location @ U ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax11,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( event @ U ) @ ( eventuality @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax12,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( hollywood @ U ) @ ( city @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax13,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( city @ U ) @ ( location @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax14,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( location @ U ) @ ( object @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax15,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( object @ U ) @ ( entity @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax16,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( old @ U ) @ ( mnot @ ( new @ U ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax17,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( eventuality @ U ) @ ( mnot @ ( entity @ U ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax18,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( abstraction @ U ) @ ( mnot @ ( entity @ U ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax19,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( abstraction @ U ) @ ( mnot @ ( eventuality @ U ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax20,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( male @ U ) @ ( mnot @ ( female @ U ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax21,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( man @ U ) @ ( mnot @ ( woman @ U ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax22,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( man @ U ) @ ( male @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax23,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( male @ U ) @ ( human @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax24,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( female @ U ) @ ( human @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax25,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( woman @ U ) @ ( female @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax26,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mequiv @ ( drs @ U ) @ ( proposition @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax27,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( nonhuman @ U ) @ ( entity @ U ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax28,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] : ( mimplies @ ( human @ U ) @ ( mnot @ ( nonhuman @ U ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax29,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [V: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [W: mu] : ( mequiv @ ( mand @ ( have @ U @ V @ W ) @ ( human @ V ) ) @ ( mand @ ( owner @ V ) @ ( of @ V @ W ) ) ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax30,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [V: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [W: mu] : ( mimplies @ ( mand @ ( have @ U @ V @ W ) @ ( mand @ ( nonhuman @ V ) @ ( nonhuman @ W ) ) ) @ ( partof @ W @ V ) ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax31,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.54 @ ^ [U: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [V: mu] :
% 0.23/0.54 ( mforall_ind
% 0.23/0.54 @ ^ [W: mu] : ( mimplies @ ( mand @ ( event @ U ) @ ( have @ U @ V @ W ) ) @ ( of @ V @ W ) ) ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(ax32,axiom,
% 0.23/0.54 ( mvalid
% 0.23/0.54 @ ( mforall_ind
% 0.23/0.57 @ ^ [U: mu] :
% 0.23/0.57 ( mforall_ind
% 0.23/0.57 @ ^ [V: mu] :
% 0.23/0.57 ( mimplies @ ( of @ V @ U )
% 0.23/0.57 @ ( mexists_ind
% 0.23/0.57 @ ^ [W: mu] : ( mand @ ( event @ W ) @ ( have @ W @ U @ V ) ) ) ) ) ) ) ).
% 0.23/0.57
% 0.23/0.57 thf(ax33,axiom,
% 0.23/0.57 ( mvalid
% 0.23/0.57 @ ( mforall_ind
% 0.23/0.57 @ ^ [U: mu] :
% 0.23/0.57 ( mforall_ind
% 0.23/0.57 @ ^ [V: mu] :
% 0.23/0.57 ( mforall_ind
% 0.23/0.57 @ ^ [W: mu] : ( mimplies @ ( mand @ ( partof @ U @ V ) @ ( partof @ U @ W ) ) @ ( qmltpeq @ V @ W ) ) ) ) ) ) ).
% 0.23/0.57
% 0.23/0.57 thf(co1,conjecture,
% 0.23/0.57 ( mvalid
% 0.23/0.57 @ ( mnot
% 0.23/0.57 @ ( mexists_ind
% 0.23/0.57 @ ^ [U: mu] :
% 0.23/0.57 ( mexists_ind
% 0.23/0.57 @ ^ [V: mu] :
% 0.23/0.57 ( mexists_ind
% 0.23/0.57 @ ^ [W: mu] :
% 0.23/0.57 ( mexists_ind
% 0.23/0.57 @ ^ [X: mu] : ( mand @ ( hollywood @ U ) @ ( mand @ ( city @ U ) @ ( mand @ ( event @ V ) @ ( mand @ ( chevy @ W ) @ ( mand @ ( car @ W ) @ ( mand @ ( white @ W ) @ ( mand @ ( dirty @ W ) @ ( mand @ ( old @ W ) @ ( mand @ ( street @ X ) @ ( mand @ ( way @ X ) @ ( mand @ ( lonely @ X ) @ ( mand @ ( barrel @ V @ W ) @ ( mand @ ( down @ V @ X ) @ ( in @ V @ U ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.23/0.57
% 0.23/0.57 %------------------------------------------------------------------------------
% 0.23/0.57 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ZUIJSpzxtI/cvc5---1.0.5_26206.p...
% 0.23/0.57 (declare-sort $$unsorted 0)
% 0.23/0.57 (declare-sort tptp.mu 0)
% 0.23/0.57 (declare-fun tptp.qmltpeq (tptp.mu tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.meq_prop ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.23/0.57 (assert (= tptp.meq_prop (lambda ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool)) (W $$unsorted)) (= (@ X W) (@ Y W)))))
% 0.23/0.57 (declare-fun tptp.mnot ((-> $$unsorted Bool) $$unsorted) Bool)
% 0.23/0.57 (assert (= tptp.mnot (lambda ((Phi (-> $$unsorted Bool)) (W $$unsorted)) (not (@ Phi W)))))
% 0.23/0.57 (declare-fun tptp.mor ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.23/0.57 (assert (= tptp.mor (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (W $$unsorted)) (or (@ Phi W) (@ Psi W)))))
% 0.23/0.57 (declare-fun tptp.mbox ((-> $$unsorted $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.23/0.57 (assert (= tptp.mbox (lambda ((R (-> $$unsorted $$unsorted Bool)) (Phi (-> $$unsorted Bool)) (W $$unsorted)) (forall ((V $$unsorted)) (or (not (@ (@ R W) V)) (@ Phi V))))))
% 0.23/0.57 (declare-fun tptp.mforall_prop ((-> (-> $$unsorted Bool) $$unsorted Bool) $$unsorted) Bool)
% 0.23/0.57 (assert (= tptp.mforall_prop (lambda ((Phi (-> (-> $$unsorted Bool) $$unsorted Bool)) (W $$unsorted)) (forall ((P (-> $$unsorted Bool))) (@ (@ Phi P) W)))))
% 0.23/0.57 (declare-fun tptp.mtrue ($$unsorted) Bool)
% 0.23/0.57 (assert (= tptp.mtrue (lambda ((W $$unsorted)) true)))
% 0.23/0.57 (declare-fun tptp.mfalse ($$unsorted) Bool)
% 0.23/0.57 (assert (= tptp.mfalse (@ tptp.mnot tptp.mtrue)))
% 0.23/0.57 (declare-fun tptp.mand ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.23/0.57 (assert (= tptp.mand (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mor (@ tptp.mnot Phi)) (@ tptp.mnot Psi))) __flatten_var_0))))
% 0.23/0.57 (declare-fun tptp.mimplies ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.23/0.57 (assert (= tptp.mimplies (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mor (@ tptp.mnot Phi)) Psi) __flatten_var_0))))
% 0.23/0.57 (declare-fun tptp.mimplied ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.23/0.57 (assert (= tptp.mimplied (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mor (@ tptp.mnot Psi)) Phi) __flatten_var_0))))
% 0.23/0.57 (declare-fun tptp.mequiv ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.23/0.57 (assert (= tptp.mequiv (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mand (@ (@ tptp.mimplies Phi) Psi)) (@ (@ tptp.mimplies Psi) Phi)) __flatten_var_0))))
% 0.23/0.57 (declare-fun tptp.mxor ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.23/0.57 (assert (= tptp.mxor (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mequiv Phi) Psi)) __flatten_var_0))))
% 0.23/0.57 (declare-fun tptp.mdia ((-> $$unsorted $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.23/0.57 (assert (= tptp.mdia (lambda ((R (-> $$unsorted $$unsorted Bool)) (Phi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mbox R) (@ tptp.mnot Phi))) __flatten_var_0))))
% 0.23/0.57 (declare-fun tptp.exists_in_world (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (assert (forall ((V $$unsorted)) (exists ((X tptp.mu)) (@ (@ tptp.exists_in_world X) V))))
% 0.23/0.57 (declare-fun tptp.mforall_ind ((-> tptp.mu $$unsorted Bool) $$unsorted) Bool)
% 0.23/0.57 (assert (= tptp.mforall_ind (lambda ((Phi (-> tptp.mu $$unsorted Bool)) (W $$unsorted)) (forall ((X tptp.mu)) (=> (@ (@ tptp.exists_in_world X) W) (@ (@ Phi X) W))))))
% 0.23/0.57 (declare-fun tptp.mexists_ind ((-> tptp.mu $$unsorted Bool) $$unsorted) Bool)
% 0.23/0.57 (assert (= tptp.mexists_ind (lambda ((Phi (-> tptp.mu $$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))))
% 0.23/0.57 (declare-fun tptp.mexists_prop ((-> (-> $$unsorted Bool) $$unsorted Bool) $$unsorted) Bool)
% 0.23/0.57 (assert (= tptp.mexists_prop (lambda ((Phi (-> (-> $$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))))
% 0.23/0.57 (declare-fun tptp.mreflexive ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.23/0.57 (assert (= tptp.mreflexive (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (@ (@ R S) S)))))
% 0.23/0.57 (declare-fun tptp.msymmetric ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.23/0.57 (assert (= tptp.msymmetric (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted)) (=> (@ (@ R S) T) (@ (@ R T) S))))))
% 0.23/0.57 (declare-fun tptp.mserial ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.23/0.57 (assert (= tptp.mserial (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (exists ((T $$unsorted)) (@ (@ R S) T))))))
% 0.23/0.57 (declare-fun tptp.mtransitive ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.23/0.57 (assert (= tptp.mtransitive (lambda ((R (-> $$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)))))))
% 0.23/0.57 (declare-fun tptp.meuclidean ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.23/0.57 (assert (= tptp.meuclidean (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (@ (@ R T) U)))))))
% 0.23/0.57 (declare-fun tptp.mpartially_functional ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.23/0.57 (assert (= tptp.mpartially_functional (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (= T U)))))))
% 0.23/0.57 (declare-fun tptp.mfunctional ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.23/0.57 (assert (= tptp.mfunctional (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (exists ((T $$unsorted)) (and (@ (@ R S) T) (forall ((U $$unsorted)) (=> (@ (@ R S) U) (= T U)))))))))
% 0.23/0.57 (declare-fun tptp.mweakly_dense ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.23/0.57 (assert (= tptp.mweakly_dense (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (=> (@ (@ R S) T) (exists ((U $$unsorted)) (and (@ (@ R S) U) (@ (@ R U) T))))))))
% 0.23/0.57 (declare-fun tptp.mweakly_connected ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.23/0.57 (assert (= tptp.mweakly_connected (lambda ((R (-> $$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))))))))
% 0.23/0.57 (declare-fun tptp.mweakly_directed ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.23/0.57 (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)))))))))
% 0.23/0.57 (declare-fun tptp.mvalid ((-> $$unsorted Bool)) Bool)
% 0.23/0.57 (assert (= tptp.mvalid (lambda ((Phi (-> $$unsorted Bool))) (forall ((W $$unsorted)) (@ Phi W)))))
% 0.23/0.57 (declare-fun tptp.msatisfiable ((-> $$unsorted Bool)) Bool)
% 0.23/0.57 (assert (= tptp.msatisfiable (lambda ((Phi (-> $$unsorted Bool))) (exists ((W $$unsorted)) (@ Phi W)))))
% 0.23/0.57 (declare-fun tptp.mcountersatisfiable ((-> $$unsorted Bool)) Bool)
% 0.23/0.57 (assert (= tptp.mcountersatisfiable (lambda ((Phi (-> $$unsorted Bool))) (exists ((W $$unsorted)) (not (@ Phi W))))))
% 0.23/0.57 (declare-fun tptp.minvalid ((-> $$unsorted Bool)) Bool)
% 0.23/0.57 (assert (= tptp.minvalid (lambda ((Phi (-> $$unsorted Bool))) (forall ((W $$unsorted)) (not (@ Phi W))))))
% 0.23/0.57 (declare-fun tptp.rel_s4 ($$unsorted $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.mbox_s4 ((-> $$unsorted Bool) $$unsorted) Bool)
% 0.23/0.57 (assert (= tptp.mbox_s4 (lambda ((Phi (-> $$unsorted Bool)) (W $$unsorted)) (forall ((V $$unsorted)) (or (not (@ (@ tptp.rel_s4 W) V)) (@ Phi V))))))
% 0.23/0.57 (declare-fun tptp.mdia_s4 ((-> $$unsorted Bool) $$unsorted) Bool)
% 0.23/0.57 (assert (= tptp.mdia_s4 (lambda ((Phi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ tptp.mbox_s4 (@ tptp.mnot Phi))) __flatten_var_0))))
% 0.23/0.57 (assert (@ tptp.mreflexive tptp.rel_s4))
% 0.23/0.57 (assert (@ tptp.mtransitive tptp.rel_s4))
% 0.23/0.57 (assert (forall ((X tptp.mu) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (@ tptp.exists_in_world X))) (=> (and (@ _let_1 V) (@ (@ tptp.rel_s4 V) W)) (@ _let_1 W)))))
% 0.23/0.57 (declare-fun tptp.vehicle (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.transport (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.instrumentality (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.artifact (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.location (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.object (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.new (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.eventuality (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.abstraction (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.man (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.male (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.female (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.woman (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.proposition (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.drs (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.entity (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.owner (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.human (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.nonhuman (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.have (tptp.mu tptp.mu tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.of (tptp.mu tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.partof (tptp.mu tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.in (tptp.mu tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.down (tptp.mu tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.barrel (tptp.mu tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.lonely (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.way (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.street (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.old (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.dirty (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.white (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.car (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.chevy (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.event (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.city (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (declare-fun tptp.hollywood (tptp.mu $$unsorted) Bool)
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.qmltpeq X) X) __flatten_var_0)))))
% 0.23/0.57 (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)))))
% 0.23/0.57 (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 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq X))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ _let_1 Y)) (@ (@ tptp.qmltpeq Y) Z))) (@ _let_1 Z)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.abstraction A))) (@ tptp.abstraction B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.artifact A))) (@ tptp.artifact B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$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)))))
% 0.23/0.57 (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 $$unsorted)) (let ((_let_1 (@ tptp.barrel C))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ _let_1 A))) (@ _let_1 B)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.car A))) (@ tptp.car B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.chevy A))) (@ tptp.chevy B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.city A))) (@ tptp.city B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.dirty A))) (@ tptp.dirty B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$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)))))
% 0.23/0.57 (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 $$unsorted)) (let ((_let_1 (@ tptp.down C))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ _let_1 A))) (@ _let_1 B)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.drs A))) (@ tptp.drs B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.entity A))) (@ tptp.entity B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.event A))) (@ tptp.event B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.eventuality A))) (@ tptp.eventuality B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.female A))) (@ tptp.female B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((D tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ (@ (@ tptp.have A) C) D))) (@ (@ (@ tptp.have B) C) D)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((D tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.have C))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ (@ _let_1 A) D))) (@ (@ _let_1 B) D)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((D tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ (@ tptp.have C) D))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ _let_1 A))) (@ _let_1 B)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.hollywood A))) (@ tptp.hollywood B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.human A))) (@ tptp.human B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$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)))))
% 0.23/0.57 (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 $$unsorted)) (let ((_let_1 (@ tptp.in C))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ _let_1 A))) (@ _let_1 B)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.instrumentality A))) (@ tptp.instrumentality B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.location A))) (@ tptp.location B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.lonely A))) (@ tptp.lonely B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.male A))) (@ tptp.male B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.man A))) (@ tptp.man B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.new A))) (@ tptp.new B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.nonhuman A))) (@ tptp.nonhuman B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.object A))) (@ tptp.object B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$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.of A) C))) (@ (@ tptp.of B) C)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (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 $$unsorted)) (let ((_let_1 (@ tptp.of C))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ _let_1 A))) (@ _let_1 B)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.old A))) (@ tptp.old B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.owner A))) (@ tptp.owner B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$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.partof A) C))) (@ (@ tptp.partof B) C)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (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 $$unsorted)) (let ((_let_1 (@ tptp.partof C))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ _let_1 A))) (@ _let_1 B)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.proposition A))) (@ tptp.proposition B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.street A))) (@ tptp.street B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.transport A))) (@ tptp.transport B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.vehicle A))) (@ tptp.vehicle B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.way A))) (@ tptp.way B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.white A))) (@ tptp.white B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.woman A))) (@ tptp.woman B)) __flatten_var_0))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.chevy U)) (@ tptp.car U)) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.car U)) (@ tptp.vehicle U)) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.vehicle U)) (@ tptp.transport U)) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.transport U)) (@ tptp.instrumentality U)) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.instrumentality U)) (@ tptp.artifact U)) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.instrumentality U)) (@ tptp.mnot (@ tptp.way U))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.street U)) (@ tptp.way U)) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.way U)) (@ tptp.artifact U)) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.artifact U)) (@ tptp.object U)) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.artifact U)) (@ tptp.mnot (@ tptp.location U))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.event U)) (@ tptp.eventuality U)) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.hollywood U)) (@ tptp.city U)) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.city U)) (@ tptp.location U)) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.location U)) (@ tptp.object U)) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.object U)) (@ tptp.entity U)) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.old U)) (@ tptp.mnot (@ tptp.new U))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.eventuality U)) (@ tptp.mnot (@ tptp.entity U))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.abstraction U)) (@ tptp.mnot (@ tptp.entity U))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.abstraction U)) (@ tptp.mnot (@ tptp.eventuality U))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.male U)) (@ tptp.mnot (@ tptp.female U))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.man U)) (@ tptp.mnot (@ tptp.woman U))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.man U)) (@ tptp.male U)) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.male U)) (@ tptp.human U)) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.female U)) (@ tptp.human U)) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.woman U)) (@ tptp.female U)) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mequiv (@ tptp.drs U)) (@ tptp.proposition U)) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.nonhuman U)) (@ tptp.entity U)) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.human U)) (@ tptp.mnot (@ tptp.nonhuman U))) __flatten_var_0)))))
% 0.23/0.57 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((V tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((W tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mequiv (@ (@ tptp.mand (@ (@ (@ tptp.have U) V) W)) (@ tptp.human V))) (@ (@ tptp.mand (@ tptp.owner V)) (@ (@ tptp.of V) W))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))))
% 0.62/0.85 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((V tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((W tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ (@ tptp.have U) V) W)) (@ (@ tptp.mand (@ tptp.nonhuman V)) (@ tptp.nonhuman W)))) (@ (@ tptp.partof W) V)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))))
% 0.62/0.85 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((V tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((W tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.event U)) (@ (@ (@ tptp.have U) V) W))) (@ (@ tptp.of V) W)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))))
% 0.62/0.85 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((V tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.of V) U)) (@ tptp.mexists_ind (lambda ((W tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mand (@ tptp.event W)) (@ (@ (@ tptp.have W) U) V)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))))
% 0.62/0.85 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((V tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((W tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.partof U))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ _let_1 V)) (@ _let_1 W))) (@ (@ tptp.qmltpeq V) W)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))))
% 0.62/0.85 (assert (not (@ tptp.mvalid (@ tptp.mnot (@ 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.mand (@ tptp.hollywood U)) (@ (@ tptp.mand (@ tptp.city U)) (@ (@ tptp.mand (@ tptp.event V)) (@ (@ tptp.mand (@ tptp.chevy W)) (@ (@ tptp.mand (@ tptp.car W)) (@ (@ tptp.mand (@ tptp.white W)) (@ (@ tptp.mand (@ tptp.dirty W)) (@ (@ tptp.mand (@ tptp.old W)) (@ (@ tptp.mand (@ tptp.street X)) (@ (@ tptp.mand (@ tptp.way X)) (@ (@ tptp.mand (@ tptp.lonely X)) (@ (@ tptp.mand (@ (@ tptp.barrel V) W)) (@ (@ tptp.mand (@ (@ tptp.down V) X)) (@ (@ tptp.in V) U)))))))))))))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))))))
% 0.62/0.85 (set-info :filename cvc5---1.0.5_26206)
% 0.62/0.85 (check-sat-assuming ( true ))
% 0.62/0.85 ------- get file name : TPTP file name is NLP003^7
% 0.62/0.85 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26206.smt2...
% 0.62/0.85 --- Run --ho-elim --full-saturate-quant at 10...
% 0.62/0.85 % SZS status Theorem for NLP003^7
% 0.62/0.85 % SZS output start Proof for NLP003^7
% 0.62/0.85 (
% 0.62/0.85 (let ((_let_1 (not (@ tptp.mvalid (@ tptp.mnot (@ 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.mand (@ tptp.hollywood U)) (@ (@ tptp.mand (@ tptp.city U)) (@ (@ tptp.mand (@ tptp.event V)) (@ (@ tptp.mand (@ tptp.chevy W)) (@ (@ tptp.mand (@ tptp.car W)) (@ (@ tptp.mand (@ tptp.white W)) (@ (@ tptp.mand (@ tptp.dirty W)) (@ (@ tptp.mand (@ tptp.old W)) (@ (@ tptp.mand (@ tptp.street X)) (@ (@ tptp.mand (@ tptp.way X)) (@ (@ tptp.mand (@ tptp.lonely X)) (@ (@ tptp.mand (@ (@ tptp.barrel V) W)) (@ (@ tptp.mand (@ (@ tptp.down V) X)) (@ (@ tptp.in V) U)))))))))))))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))))))) (let ((_let_2 (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.city U)) (@ tptp.location U)) __flatten_var_0)))))) (let ((_let_3 (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.artifact U)) (@ tptp.mnot (@ tptp.location U))) __flatten_var_0)))))) (let ((_let_4 (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.way U)) (@ tptp.artifact U)) __flatten_var_0)))))) (let ((_let_5 (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ tptp.way A))) (@ tptp.way B)) __flatten_var_0))) __flatten_var_0)))))) (let ((_let_6 (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.qmltpeq X) X) __flatten_var_0)))))) (let ((_let_7 (= tptp.mdia_s4 (lambda ((Phi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ tptp.mbox_s4 (@ tptp.mnot Phi))) __flatten_var_0))))) (let ((_let_8 (= tptp.mbox_s4 (lambda ((Phi (-> $$unsorted Bool)) (W $$unsorted)) (forall ((V $$unsorted)) (or (not (@ (@ tptp.rel_s4 W) V)) (@ Phi V))))))) (let ((_let_9 (= tptp.minvalid (lambda ((Phi (-> $$unsorted Bool))) (forall ((W $$unsorted)) (not (@ Phi W))))))) (let ((_let_10 (= tptp.mcountersatisfiable (lambda ((Phi (-> $$unsorted Bool))) (exists ((W $$unsorted)) (not (@ Phi W))))))) (let ((_let_11 (= tptp.msatisfiable (lambda ((Phi (-> $$unsorted Bool))) (exists ((W $$unsorted)) (@ Phi W)))))) (let ((_let_12 (= tptp.mvalid (lambda ((Phi (-> $$unsorted Bool))) (forall ((W $$unsorted)) (@ Phi W)))))) (let ((_let_13 (= tptp.mweakly_directed (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (exists ((V $$unsorted)) (and (@ (@ R T) V) (@ (@ R U) V)))))))))) (let ((_let_14 (= tptp.mweakly_connected (lambda ((R (-> $$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_15 (= 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_16 (= tptp.mfunctional (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (exists ((T $$unsorted)) (and (@ (@ R S) T) (forall ((U $$unsorted)) (=> (@ (@ R S) U) (= T U)))))))))) (let ((_let_17 (= tptp.mpartially_functional (lambda ((R (-> $$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_18 (= tptp.meuclidean (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (@ (@ R T) U)))))))) (let ((_let_19 (= tptp.mtransitive (lambda ((R (-> $$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_20 (= tptp.mserial (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (exists ((T $$unsorted)) (@ (@ R S) T))))))) (let ((_let_21 (= tptp.msymmetric (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted)) (=> (@ (@ R S) T) (@ (@ R T) S))))))) (let ((_let_22 (= tptp.mreflexive (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (@ (@ R S) S)))))) (let ((_let_23 (= tptp.mexists_prop (lambda ((Phi (-> (-> $$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_24 (= 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 $$unsorted)) (@ (@ tptp.mnot (@ Phi X)) __flatten_var_0)))) __flatten_var_0))))) (let ((_let_25 (= tptp.mforall_ind (lambda ((Phi (-> tptp.mu $$unsorted Bool)) (W $$unsorted)) (forall ((X tptp.mu)) (=> (@ (@ tptp.exists_in_world X) W) (@ (@ Phi X) W))))))) (let ((_let_26 (= tptp.mdia (lambda ((R (-> $$unsorted $$unsorted Bool)) (Phi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mbox R) (@ tptp.mnot Phi))) __flatten_var_0))))) (let ((_let_27 (= tptp.mxor (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mequiv Phi) Psi)) __flatten_var_0))))) (let ((_let_28 (= tptp.mequiv (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mand (@ (@ tptp.mimplies Phi) Psi)) (@ (@ tptp.mimplies Psi) Phi)) __flatten_var_0))))) (let ((_let_29 (= tptp.mimplied (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mor (@ tptp.mnot Psi)) Phi) __flatten_var_0))))) (let ((_let_30 (= tptp.mimplies (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mor (@ tptp.mnot Phi)) Psi) __flatten_var_0))))) (let ((_let_31 (= tptp.mand (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mor (@ tptp.mnot Phi)) (@ tptp.mnot Psi))) __flatten_var_0))))) (let ((_let_32 (= tptp.mfalse (@ tptp.mnot tptp.mtrue)))) (let ((_let_33 (= tptp.mtrue (lambda ((W $$unsorted)) true)))) (let ((_let_34 (= tptp.mforall_prop (lambda ((Phi (-> (-> $$unsorted Bool) $$unsorted Bool)) (W $$unsorted)) (forall ((P (-> $$unsorted Bool))) (@ (@ Phi P) W)))))) (let ((_let_35 (= tptp.mbox (lambda ((R (-> $$unsorted $$unsorted Bool)) (Phi (-> $$unsorted Bool)) (W $$unsorted)) (forall ((V $$unsorted)) (or (not (@ (@ R W) V)) (@ Phi V))))))) (let ((_let_36 (= tptp.mor (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (W $$unsorted)) (or (@ Phi W) (@ Psi W)))))) (let ((_let_37 (= tptp.mnot (lambda ((Phi (-> $$unsorted Bool)) (W $$unsorted)) (not (@ Phi W)))))) (let ((_let_38 (= tptp.meq_prop (lambda ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool)) (W $$unsorted)) (= (@ X W) (@ Y W)))))) (let ((_let_39 (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))) (let ((_let_40 (ho_4 (ho_3 k_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))) (let ((_let_41 (ho_4 (ho_3 k_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))) (let ((_let_42 (not _let_41))) (let ((_let_43 (not _let_39))) (let ((_let_44 (or _let_43 _let_42 _let_40))) (let ((_let_45 (ho_4 (ho_3 k_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))) (let ((_let_46 (not _let_45))) (let ((_let_47 (ho_4 (ho_3 k_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))) (let ((_let_48 (not _let_47))) (let ((_let_49 (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or (not (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46)) (not (ho_4 (ho_3 k_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46)) (not (ho_4 (ho_3 k_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46)) (not (ho_4 (ho_3 k_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46)) (not (ho_4 (ho_3 k_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46)) (not (ho_4 (ho_3 k_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46)) (not (ho_4 (ho_3 (ho_8 k_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46)) (not (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46)) (not (ho_4 (ho_3 k_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46)) (not (ho_4 (ho_3 (ho_8 k_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46)) _let_50 (not (ho_4 (ho_3 k_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46)) _let_48 (not (ho_4 (ho_3 k_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46)) (not (ho_4 (ho_3 (ho_8 k_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46)) _let_43 (not (ho_4 (ho_3 k_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46)) _let_46))) (let ((_let_52 (forall ((W $$unsorted) (BOUND_VARIABLE_16689 tptp.mu) (BOUND_VARIABLE_16660 tptp.mu) (BOUND_VARIABLE_16658 tptp.mu) (BOUND_VARIABLE_16633 tptp.mu)) (or (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_16633) W)) (not (ho_4 (ho_3 k_13 BOUND_VARIABLE_16633) W)) (not (ho_4 (ho_3 k_12 BOUND_VARIABLE_16633) W)) (not (ho_4 (ho_3 k_42 BOUND_VARIABLE_16633) W)) (not (ho_4 (ho_3 k_15 BOUND_VARIABLE_16633) W)) (not (ho_4 (ho_3 k_34 BOUND_VARIABLE_16633) W)) (not (ho_4 (ho_3 (ho_8 k_11 BOUND_VARIABLE_16633) BOUND_VARIABLE_16633) W)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_16658) W)) (not (ho_4 (ho_3 k_19 BOUND_VARIABLE_16658) W)) (not (ho_4 (ho_3 (ho_8 k_24 BOUND_VARIABLE_16658) BOUND_VARIABLE_16658) W)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_16660) W)) (not (ho_4 (ho_3 k_38 BOUND_VARIABLE_16660) W)) (not (ho_4 (ho_3 k_41 BOUND_VARIABLE_16660) W)) (not (ho_4 (ho_3 k_27 BOUND_VARIABLE_16660) W)) (not (ho_4 (ho_3 (ho_8 k_16 BOUND_VARIABLE_16658) BOUND_VARIABLE_16660) W)) (not (ho_4 (ho_3 k_2 BOUND_VARIABLE_16689) W)) (not (ho_4 (ho_3 k_22 BOUND_VARIABLE_16689) W)) (not (ho_4 (ho_3 k_14 BOUND_VARIABLE_16689) W)))))) (let ((_let_53 (not _let_51))) (let ((_let_54 (not _let_52))) (let ((_let_55 (ASSUME :args (_let_38)))) (let ((_let_56 (ASSUME :args (_let_37)))) (let ((_let_57 (ASSUME :args (_let_36)))) (let ((_let_58 (ASSUME :args (_let_35)))) (let ((_let_59 (ASSUME :args (_let_34)))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_60 _let_59 _let_58 _let_57 _let_56 _let_55) :args (_let_32 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55) :args (_let_31 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55) :args (_let_30 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55) :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55) :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55) :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55) :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO (AND_INTRO _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) :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO (AND_INTRO _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) :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (ASSUME :args (_let_22)))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (ASSUME :args (_let_12)))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (ASSUME :args (_let_9)))) (let ((_let_85 (ASSUME :args (_let_8)))) (let ((_let_86 (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_85 _let_84 _let_83 _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 _let_76 _let_75 _let_74 _let_73 _let_72 _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) :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) _let_85 _let_84 _let_83 _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 _let_76 _let_75 _let_74 _let_73 _let_72 _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 ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO _let_86 :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((W $$unsorted) (BOUND_VARIABLE_16689 tptp.mu) (BOUND_VARIABLE_16660 tptp.mu) (BOUND_VARIABLE_16658 tptp.mu) (BOUND_VARIABLE_16633 tptp.mu)) (or (not (@ (@ tptp.exists_in_world BOUND_VARIABLE_16633) W)) (not (@ (@ tptp.chevy BOUND_VARIABLE_16633) W)) (not (@ (@ 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__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.location A))) (@ tptp.location 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.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.male A))) (@ tptp.male 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.new A))) (@ tptp.new 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.nonhuman A))) (@ tptp.nonhuman 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.object A))) (@ tptp.object 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 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ (@ tptp.of A) C))) (@ (@ tptp.of B) C)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$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.of 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.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.owner A))) (@ tptp.owner 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 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.qmltpeq A) B)) (@ (@ tptp.partof A) C))) (@ (@ tptp.partof B) C)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$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.partof 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.proposition A))) (@ tptp.proposition 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.transport A))) (@ tptp.transport 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.vehicle A))) (@ tptp.vehicle B)) __flatten_var_0))) __flatten_var_0)))) _let_5 (@ 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.woman A))) (@ tptp.woman B)) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.chevy U)) (@ tptp.car U)) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.car U)) (@ tptp.vehicle U)) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.vehicle U)) (@ tptp.transport U)) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.transport U)) (@ tptp.instrumentality U)) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.instrumentality U)) (@ tptp.artifact U)) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.instrumentality U)) (@ tptp.mnot (@ tptp.way U))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.street U)) (@ tptp.way U)) __flatten_var_0)))) _let_4 (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.artifact U)) (@ tptp.object U)) __flatten_var_0)))) _let_3 (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.event U)) (@ tptp.eventuality U)) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.hollywood U)) (@ tptp.city U)) __flatten_var_0)))) _let_2 (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.location U)) (@ tptp.object U)) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.object U)) (@ tptp.entity U)) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.old U)) (@ tptp.mnot (@ tptp.new U))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.eventuality U)) (@ tptp.mnot (@ tptp.entity U))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.abstraction U)) (@ tptp.mnot (@ tptp.entity U))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.abstraction U)) (@ tptp.mnot (@ tptp.eventuality U))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.male U)) (@ tptp.mnot (@ tptp.female U))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.man U)) (@ tptp.mnot (@ tptp.woman U))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.man U)) (@ tptp.male U)) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.male U)) (@ tptp.human U)) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.female U)) (@ tptp.human U)) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.woman U)) (@ tptp.female U)) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mequiv (@ tptp.drs U)) (@ tptp.proposition U)) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.nonhuman U)) (@ tptp.entity U)) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ tptp.human U)) (@ tptp.mnot (@ tptp.nonhuman U))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((V tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((W tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mequiv (@ (@ tptp.mand (@ (@ (@ tptp.have U) V) W)) (@ tptp.human V))) (@ (@ tptp.mand (@ tptp.owner V)) (@ (@ tptp.of V) W))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((V tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((W tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ (@ tptp.have U) V) W)) (@ (@ tptp.mand (@ tptp.nonhuman V)) (@ tptp.nonhuman W)))) (@ (@ tptp.partof W) V)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((V tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((W tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.event U)) (@ (@ (@ tptp.have U) V) W))) (@ (@ tptp.of V) W)) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((V tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.of V) U)) (@ tptp.mexists_ind (lambda ((W tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mand (@ tptp.event W)) (@ (@ (@ tptp.have W) U) V)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((V tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((W tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.partof U))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mand (@ _let_1 V)) (@ _let_1 W))) (@ (@ tptp.qmltpeq V) W)) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0)))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.62/0.86 )
% 0.62/0.86 % SZS output end Proof for NLP003^7
% 0.62/0.86 % cvc5---1.0.5 exiting
% 0.62/0.86 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------