TSTP Solution File: NLP006^7 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NLP006^7 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 09:39:25 EDT 2023
% Result : Timeout 299.99s 300.30s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NLP006^7 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 10:26:51 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.51 %----Proving TH0
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 % File : NLP006^7 : TPTP v8.1.2. Released v5.5.0.
% 0.21/0.52 % Domain : Natural Language Processing
% 0.21/0.52 % Problem : "The old dirty white Chevy" problem 6
% 0.21/0.52 % Version : [Ben12] axioms.
% 0.21/0.52 % English :
% 0.21/0.52
% 0.21/0.52 % Refs : [Goe69] Goedel (1969), An Interpretation of the Intuitionistic
% 0.21/0.52 % : [Bos00] Bos (2000), DORIS: Discourse Oriented Representation an
% 0.21/0.52 % : [Ben12] Benzmueller (2012), Email to Geoff Sutcliffe
% 0.21/0.52 % Source : [Ben12]
% 0.21/0.52 % Names : s4-cumul-GNL006+1 [Ben12]
% 0.21/0.52
% 0.21/0.52 % Status : CounterCounterSatisfiable
% 0.21/0.52 % Rating : 1.00 v8.1.0, 0.80 v7.4.0, 0.75 v7.2.0, 0.67 v5.5.0
% 0.21/0.52 % Syntax : Number of formulae : 119 ( 33 unt; 56 typ; 32 def)
% 0.21/0.52 % Number of atoms : 874 ( 36 equ; 0 cnn)
% 0.21/0.52 % Maximal formula atoms : 402 ( 13 avg)
% 0.21/0.52 % Number of connectives : 1153 ( 5 ~; 5 |; 9 &;1124 @)
% 0.21/0.52 % ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% 0.21/0.52 % Maximal formula depth : 61 ( 9 avg)
% 0.21/0.52 % Number of types : 3 ( 1 usr)
% 0.21/0.52 % Number of type conns : 223 ( 223 >; 0 *; 0 +; 0 <<)
% 0.21/0.52 % Number of symbols : 65 ( 63 usr; 9 con; 0-3 aty)
% 0.21/0.52 % Number of variables : 186 ( 145 ^; 34 !; 7 ?; 186 :)
% 0.21/0.52 % SPC : TH0_CSA_EQU_NAR
% 0.21/0.52
% 0.21/0.52 % Comments : Goedel translation of NLP006+1
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 %----Include axioms for Modal logic S4 under cumulative domains
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 %----Declaration of additional base type mu
% 0.21/0.52 thf(mu_type,type,
% 0.21/0.52 mu: $tType ).
% 0.21/0.52
% 0.21/0.52 %----Equality
% 0.21/0.52 thf(qmltpeq_type,type,
% 0.21/0.52 qmltpeq: mu > mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 % originale Definition
% 0.21/0.52 %thf(qmltpeq,definition,
% 0.21/0.52 % ( qmltpeq
% 0.21/0.52 % = ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) )).
% 0.21/0.52
% 0.21/0.52 % erweiterte Leibnitz-Definition
% 0.21/0.52 %thf(qmltpeq,definition,
% 0.21/0.52 % ( qmltpeq
% 0.21/0.52 % = ( ^ [X: mu,Y: mu,W: $i] : (![P: mu > $i > $o]: ( (P @ X @ W) <=> (P @ Y @ W) ) ) ) )).
% 0.21/0.52
% 0.21/0.52 % Leibnitz-Definition
% 0.21/0.52 %thf(qmltpeq,definition,
% 0.21/0.52 % ( qmltpeq
% 0.21/0.52 % = ( ^ [X: mu,Y: mu,W: $i] : (! [P: mu > $o]: ( (P @ X) <=> (P @ Y) ) ) ) )).
% 0.21/0.52
% 0.21/0.52 thf(meq_prop_type,type,
% 0.21/0.52 meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(meq_prop,definition,
% 0.21/0.52 ( meq_prop
% 0.21/0.52 = ( ^ [X: $i > $o,Y: $i > $o,W: $i] :
% 0.21/0.52 ( ( X @ W )
% 0.21/0.52 = ( Y @ W ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 %----Modal operators not, or, box, Pi
% 0.21/0.52 thf(mnot_type,type,
% 0.21/0.52 mnot: ( $i > $o ) > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mnot,definition,
% 0.21/0.52 ( mnot
% 0.21/0.52 = ( ^ [Phi: $i > $o,W: $i] :
% 0.21/0.52 ~ ( Phi @ W ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(mor_type,type,
% 0.21/0.52 mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mor,definition,
% 0.21/0.52 ( mor
% 0.21/0.52 = ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
% 0.21/0.52 ( ( Phi @ W )
% 0.21/0.52 | ( Psi @ W ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(mbox_type,type,
% 0.21/0.52 mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mbox,definition,
% 0.21/0.52 ( mbox
% 0.21/0.52 = ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
% 0.21/0.52 ! [V: $i] :
% 0.21/0.52 ( ~ ( R @ W @ V )
% 0.21/0.52 | ( Phi @ V ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(mforall_prop_type,type,
% 0.21/0.52 mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mforall_prop,definition,
% 0.21/0.52 ( mforall_prop
% 0.21/0.52 = ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
% 0.21/0.52 ! [P: $i > $o] : ( Phi @ P @ W ) ) ) ).
% 0.21/0.52
% 0.21/0.52 %----Further modal operators
% 0.21/0.52 thf(mtrue_type,type,
% 0.21/0.52 mtrue: $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mtrue,definition,
% 0.21/0.52 ( mtrue
% 0.21/0.52 = ( ^ [W: $i] : $true ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(mfalse_type,type,
% 0.21/0.52 mfalse: $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mfalse,definition,
% 0.21/0.52 ( mfalse
% 0.21/0.52 = ( mnot @ mtrue ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(mand_type,type,
% 0.21/0.52 mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mand,definition,
% 0.21/0.52 ( mand
% 0.21/0.52 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(mimplies_type,type,
% 0.21/0.52 mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mimplies,definition,
% 0.21/0.52 ( mimplies
% 0.21/0.52 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(mimplied_type,type,
% 0.21/0.52 mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mimplied,definition,
% 0.21/0.52 ( mimplied
% 0.21/0.52 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(mequiv_type,type,
% 0.21/0.52 mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mequiv,definition,
% 0.21/0.52 ( mequiv
% 0.21/0.52 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(mxor_type,type,
% 0.21/0.52 mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mxor,definition,
% 0.21/0.52 ( mxor
% 0.21/0.52 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(mdia_type,type,
% 0.21/0.52 mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mdia,definition,
% 0.21/0.52 ( mdia
% 0.21/0.52 = ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 %--- (new for cumulative)
% 0.21/0.52 %---Declaration of existence predicate for simulating cumulative domain
% 0.21/0.52 thf(exists_in_world_type,type,
% 0.21/0.52 exists_in_world: mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 %----The domains are non-empty
% 0.21/0.52 thf(nonempty_ax,axiom,
% 0.21/0.52 ! [V: $i] :
% 0.21/0.52 ? [X: mu] : ( exists_in_world @ X @ V ) ).
% 0.21/0.52
% 0.21/0.52 thf(mforall_ind_type,type,
% 0.21/0.52 mforall_ind: ( mu > $i > $o ) > $i > $o ).
% 0.21/0.52
% 0.21/0.52 %--- (new for cumulative)
% 0.21/0.52 thf(mforall_ind,definition,
% 0.21/0.52 ( mforall_ind
% 0.21/0.52 = ( ^ [Phi: mu > $i > $o,W: $i] :
% 0.21/0.52 ! [X: mu] :
% 0.21/0.52 ( ( exists_in_world @ X @ W )
% 0.21/0.52 => ( Phi @ X @ W ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 %thf(mforall_ind,definition,
% 0.21/0.52 % ( mforall_ind
% 0.21/0.52 % = ( ^ [Phi: mu > $i > $o,W: $i] :
% 0.21/0.52 % ! [X: mu] :
% 0.21/0.52 % ( Phi @ X @ W ) ) )).
% 0.21/0.52
% 0.21/0.52 thf(mexists_ind_type,type,
% 0.21/0.52 mexists_ind: ( mu > $i > $o ) > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mexists_ind,definition,
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 = ( ^ [Phi: mu > $i > $o] :
% 0.21/0.52 ( mnot
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(mexists_prop_type,type,
% 0.21/0.52 mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mexists_prop,definition,
% 0.21/0.52 ( mexists_prop
% 0.21/0.52 = ( ^ [Phi: ( $i > $o ) > $i > $o] :
% 0.21/0.52 ( mnot
% 0.21/0.52 @ ( mforall_prop
% 0.21/0.52 @ ^ [P: $i > $o] : ( mnot @ ( Phi @ P ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 %----Definition of properties of accessibility relations
% 0.21/0.52 thf(mreflexive_type,type,
% 0.21/0.52 mreflexive: ( $i > $i > $o ) > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mreflexive,definition,
% 0.21/0.52 ( mreflexive
% 0.21/0.52 = ( ^ [R: $i > $i > $o] :
% 0.21/0.52 ! [S: $i] : ( R @ S @ S ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(msymmetric_type,type,
% 0.21/0.52 msymmetric: ( $i > $i > $o ) > $o ).
% 0.21/0.52
% 0.21/0.52 thf(msymmetric,definition,
% 0.21/0.52 ( msymmetric
% 0.21/0.52 = ( ^ [R: $i > $i > $o] :
% 0.21/0.52 ! [S: $i,T: $i] :
% 0.21/0.52 ( ( R @ S @ T )
% 0.21/0.52 => ( R @ T @ S ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(mserial_type,type,
% 0.21/0.52 mserial: ( $i > $i > $o ) > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mserial,definition,
% 0.21/0.52 ( mserial
% 0.21/0.52 = ( ^ [R: $i > $i > $o] :
% 0.21/0.52 ! [S: $i] :
% 0.21/0.52 ? [T: $i] : ( R @ S @ T ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(mtransitive_type,type,
% 0.21/0.52 mtransitive: ( $i > $i > $o ) > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mtransitive,definition,
% 0.21/0.52 ( mtransitive
% 0.21/0.52 = ( ^ [R: $i > $i > $o] :
% 0.21/0.52 ! [S: $i,T: $i,U: $i] :
% 0.21/0.52 ( ( ( R @ S @ T )
% 0.21/0.52 & ( R @ T @ U ) )
% 0.21/0.52 => ( R @ S @ U ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(meuclidean_type,type,
% 0.21/0.52 meuclidean: ( $i > $i > $o ) > $o ).
% 0.21/0.52
% 0.21/0.52 thf(meuclidean,definition,
% 0.21/0.52 ( meuclidean
% 0.21/0.52 = ( ^ [R: $i > $i > $o] :
% 0.21/0.52 ! [S: $i,T: $i,U: $i] :
% 0.21/0.52 ( ( ( R @ S @ T )
% 0.21/0.52 & ( R @ S @ U ) )
% 0.21/0.52 => ( R @ T @ U ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(mpartially_functional_type,type,
% 0.21/0.52 mpartially_functional: ( $i > $i > $o ) > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mpartially_functional,definition,
% 0.21/0.52 ( mpartially_functional
% 0.21/0.52 = ( ^ [R: $i > $i > $o] :
% 0.21/0.52 ! [S: $i,T: $i,U: $i] :
% 0.21/0.52 ( ( ( R @ S @ T )
% 0.21/0.52 & ( R @ S @ U ) )
% 0.21/0.52 => ( T = U ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(mfunctional_type,type,
% 0.21/0.52 mfunctional: ( $i > $i > $o ) > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mfunctional,definition,
% 0.21/0.52 ( mfunctional
% 0.21/0.52 = ( ^ [R: $i > $i > $o] :
% 0.21/0.52 ! [S: $i] :
% 0.21/0.52 ? [T: $i] :
% 0.21/0.52 ( ( R @ S @ T )
% 0.21/0.52 & ! [U: $i] :
% 0.21/0.52 ( ( R @ S @ U )
% 0.21/0.52 => ( T = U ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(mweakly_dense_type,type,
% 0.21/0.52 mweakly_dense: ( $i > $i > $o ) > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mweakly_dense,definition,
% 0.21/0.52 ( mweakly_dense
% 0.21/0.52 = ( ^ [R: $i > $i > $o] :
% 0.21/0.52 ! [S: $i,T: $i,U: $i] :
% 0.21/0.52 ( ( R @ S @ T )
% 0.21/0.52 => ? [U: $i] :
% 0.21/0.52 ( ( R @ S @ U )
% 0.21/0.52 & ( R @ U @ T ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(mweakly_connected_type,type,
% 0.21/0.52 mweakly_connected: ( $i > $i > $o ) > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mweakly_connected,definition,
% 0.21/0.52 ( mweakly_connected
% 0.21/0.52 = ( ^ [R: $i > $i > $o] :
% 0.21/0.52 ! [S: $i,T: $i,U: $i] :
% 0.21/0.52 ( ( ( R @ S @ T )
% 0.21/0.52 & ( R @ S @ U ) )
% 0.21/0.52 => ( ( R @ T @ U )
% 0.21/0.52 | ( T = U )
% 0.21/0.52 | ( R @ U @ T ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(mweakly_directed_type,type,
% 0.21/0.52 mweakly_directed: ( $i > $i > $o ) > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mweakly_directed,definition,
% 0.21/0.52 ( mweakly_directed
% 0.21/0.52 = ( ^ [R: $i > $i > $o] :
% 0.21/0.52 ! [S: $i,T: $i,U: $i] :
% 0.21/0.52 ( ( ( R @ S @ T )
% 0.21/0.52 & ( R @ S @ U ) )
% 0.21/0.52 => ? [V: $i] :
% 0.21/0.52 ( ( R @ T @ V )
% 0.21/0.52 & ( R @ U @ V ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 %----Definition of validity
% 0.21/0.52 thf(mvalid_type,type,
% 0.21/0.52 mvalid: ( $i > $o ) > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mvalid,definition,
% 0.21/0.52 ( mvalid
% 0.21/0.52 = ( ^ [Phi: $i > $o] :
% 0.21/0.52 ! [W: $i] : ( Phi @ W ) ) ) ).
% 0.21/0.52
% 0.21/0.52 %----Definition of satisfiability
% 0.21/0.52 thf(msatisfiable_type,type,
% 0.21/0.52 msatisfiable: ( $i > $o ) > $o ).
% 0.21/0.52
% 0.21/0.52 thf(msatisfiable,definition,
% 0.21/0.52 ( msatisfiable
% 0.21/0.52 = ( ^ [Phi: $i > $o] :
% 0.21/0.52 ? [W: $i] : ( Phi @ W ) ) ) ).
% 0.21/0.52
% 0.21/0.52 %----Definition of countersatisfiability
% 0.21/0.52 thf(mcountersatisfiable_type,type,
% 0.21/0.52 mcountersatisfiable: ( $i > $o ) > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mcountersatisfiable,definition,
% 0.21/0.52 ( mcountersatisfiable
% 0.21/0.52 = ( ^ [Phi: $i > $o] :
% 0.21/0.52 ? [W: $i] :
% 0.21/0.52 ~ ( Phi @ W ) ) ) ).
% 0.21/0.52
% 0.21/0.52 %----Definition of invalidity
% 0.21/0.52 thf(minvalid_type,type,
% 0.21/0.52 minvalid: ( $i > $o ) > $o ).
% 0.21/0.52
% 0.21/0.52 thf(minvalid,definition,
% 0.21/0.52 ( minvalid
% 0.21/0.52 = ( ^ [Phi: $i > $o] :
% 0.21/0.52 ! [W: $i] :
% 0.21/0.52 ~ ( Phi @ W ) ) ) ).
% 0.21/0.52
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 %----We reserve an accessibility relation constant rel_s4
% 0.21/0.52 thf(rel_s4_type,type,
% 0.21/0.52 rel_s4: $i > $i > $o ).
% 0.21/0.52
% 0.21/0.52 %----We define mbox_s4 and mdia_s4 based on rel_s4
% 0.21/0.52 thf(mbox_s4_type,type,
% 0.21/0.52 mbox_s4: ( $i > $o ) > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mbox_s4,definition,
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 = ( ^ [Phi: $i > $o,W: $i] :
% 0.21/0.52 ! [V: $i] :
% 0.21/0.52 ( ~ ( rel_s4 @ W @ V )
% 0.21/0.52 | ( Phi @ V ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(mdia_s4_type,type,
% 0.21/0.52 mdia_s4: ( $i > $o ) > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(mdia_s4,definition,
% 0.21/0.52 ( mdia_s4
% 0.21/0.52 = ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_s4 @ ( mnot @ Phi ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 %----We have now two options for stating the B conditions:
% 0.21/0.52 %----We can (i) directly formulate conditions for the accessibility relation
% 0.21/0.52 %----constant or we can (ii) state corresponding axioms. We here prefer (i)
% 0.21/0.52 thf(a1,axiom,
% 0.21/0.52 mreflexive @ rel_s4 ).
% 0.21/0.52
% 0.21/0.52 thf(a2,axiom,
% 0.21/0.52 mtransitive @ rel_s4 ).
% 0.21/0.52
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 thf(cumulative_ax,axiom,
% 0.21/0.52 ! [X: mu,V: $i,W: $i] :
% 0.21/0.52 ( ( ( exists_in_world @ X @ V )
% 0.21/0.52 & ( rel_s4 @ V @ W ) )
% 0.21/0.52 => ( exists_in_world @ X @ W ) ) ).
% 0.21/0.52
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 thf(young_type,type,
% 0.21/0.52 young: mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(man_type,type,
% 0.21/0.52 man: mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(fellow_type,type,
% 0.21/0.52 fellow: mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(in_type,type,
% 0.21/0.52 in: mu > mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(down_type,type,
% 0.21/0.52 down: mu > mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(barrel_type,type,
% 0.21/0.52 barrel: mu > mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(lonely_type,type,
% 0.21/0.52 lonely: mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(way_type,type,
% 0.21/0.52 way: mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(street_type,type,
% 0.21/0.52 street: mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(old_type,type,
% 0.21/0.52 old: mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(dirty_type,type,
% 0.21/0.52 dirty: mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(white_type,type,
% 0.21/0.52 white: mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(car_type,type,
% 0.21/0.52 car: mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(chevy_type,type,
% 0.21/0.52 chevy: mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(event_type,type,
% 0.21/0.52 event: mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(city_type,type,
% 0.21/0.52 city: mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(hollywood_type,type,
% 0.21/0.52 hollywood: mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(front_type,type,
% 0.21/0.52 front: mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(furniture_type,type,
% 0.21/0.52 furniture: mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(seat_type,type,
% 0.21/0.52 seat: mu > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(reflexivity,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [X: mu] : ( mbox_s4 @ ( qmltpeq @ X @ X ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(symmetry,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [X: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [Y: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ X @ Y ) ) @ ( mbox_s4 @ ( qmltpeq @ Y @ X ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(transitivity,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [X: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [Y: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [Z: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X @ Y ) ) @ ( mbox_s4 @ ( qmltpeq @ Y @ Z ) ) ) @ ( mbox_s4 @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(barrel_substitution_1,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( barrel @ A @ C ) ) ) @ ( mbox_s4 @ ( barrel @ B @ C ) ) ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(barrel_substitution_2,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( barrel @ C @ A ) ) ) @ ( mbox_s4 @ ( barrel @ C @ B ) ) ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(car_substitution_1,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( car @ A ) ) ) @ ( mbox_s4 @ ( car @ B ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(chevy_substitution_1,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( chevy @ A ) ) ) @ ( mbox_s4 @ ( chevy @ B ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(city_substitution_1,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( city @ A ) ) ) @ ( mbox_s4 @ ( city @ B ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(dirty_substitution_1,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( dirty @ A ) ) ) @ ( mbox_s4 @ ( dirty @ B ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(down_substitution_1,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( down @ A @ C ) ) ) @ ( mbox_s4 @ ( down @ B @ C ) ) ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(down_substitution_2,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( down @ C @ A ) ) ) @ ( mbox_s4 @ ( down @ C @ B ) ) ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(event_substitution_1,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( event @ A ) ) ) @ ( mbox_s4 @ ( event @ B ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(fellow_substitution_1,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( fellow @ A ) ) ) @ ( mbox_s4 @ ( fellow @ B ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(front_substitution_1,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( front @ A ) ) ) @ ( mbox_s4 @ ( front @ B ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(furniture_substitution_1,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( furniture @ A ) ) ) @ ( mbox_s4 @ ( furniture @ B ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(hollywood_substitution_1,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( hollywood @ A ) ) ) @ ( mbox_s4 @ ( hollywood @ B ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(in_substitution_1,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( in @ A @ C ) ) ) @ ( mbox_s4 @ ( in @ B @ C ) ) ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(in_substitution_2,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( in @ C @ A ) ) ) @ ( mbox_s4 @ ( in @ C @ B ) ) ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(lonely_substitution_1,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( lonely @ A ) ) ) @ ( mbox_s4 @ ( lonely @ B ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(man_substitution_1,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( man @ A ) ) ) @ ( mbox_s4 @ ( man @ B ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(old_substitution_1,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( old @ A ) ) ) @ ( mbox_s4 @ ( old @ B ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(seat_substitution_1,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( seat @ A ) ) ) @ ( mbox_s4 @ ( seat @ B ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(street_substitution_1,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( street @ A ) ) ) @ ( mbox_s4 @ ( street @ B ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(way_substitution_1,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( way @ A ) ) ) @ ( mbox_s4 @ ( way @ B ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(white_substitution_1,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( white @ A ) ) ) @ ( mbox_s4 @ ( white @ B ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(young_substitution_1,axiom,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [A: mu] :
% 0.21/0.52 ( mbox_s4
% 0.21/0.52 @ ( mforall_ind
% 0.21/0.52 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( young @ A ) ) ) @ ( mbox_s4 @ ( young @ B ) ) ) ) ) ) ) ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(co1,conjecture,
% 0.21/0.52 ( mvalid
% 0.21/0.52 @ ( mand
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mimplies
% 0.21/0.52 @ ( mexists_ind
% 0.21/0.52 @ ^ [U: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [V: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [W: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [Y: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [Z: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X1: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X2: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X3: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X4: mu] : ( mand @ ( mbox_s4 @ ( seat @ U ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ U ) ) @ ( mand @ ( mbox_s4 @ ( front @ U ) ) @ ( mand @ ( mbox_s4 @ ( hollywood @ V ) ) @ ( mand @ ( mbox_s4 @ ( city @ V ) ) @ ( mand @ ( mbox_s4 @ ( event @ W ) ) @ ( mand @ ( mbox_s4 @ ( chevy @ X ) ) @ ( mand @ ( mbox_s4 @ ( car @ X ) ) @ ( mand @ ( mbox_s4 @ ( white @ X ) ) @ ( mand @ ( mbox_s4 @ ( dirty @ X ) ) @ ( mand @ ( mbox_s4 @ ( old @ X ) ) @ ( mand @ ( mbox_s4 @ ( street @ Y ) ) @ ( mand @ ( mbox_s4 @ ( way @ Y ) ) @ ( mand @ ( mbox_s4 @ ( lonely @ Y ) ) @ ( mand @ ( mbox_s4 @ ( barrel @ W @ X ) ) @ ( mand @ ( mbox_s4 @ ( down @ W @ Y ) ) @ ( mand @ ( mbox_s4 @ ( in @ W @ V ) ) @ ( mand @ ( mbox_s4 @ ( seat @ X2 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X2 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X2 ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ Z @ X1 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ Z ) ) @ ( mand @ ( mbox_s4 @ ( man @ Z ) ) @ ( mand @ ( mbox_s4 @ ( young @ Z ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X1 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X1 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ Z @ X3 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X3 @ U ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X1 @ X4 ) ) @ ( mbox_s4 @ ( in @ X4 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.21/0.52 @ ( mexists_ind
% 0.21/0.52 @ ^ [X5: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X6: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X7: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X8: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X9: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X10: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X11: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X13: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X14: mu] : ( mand @ ( mbox_s4 @ ( seat @ X5 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X5 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X5 ) ) @ ( mand @ ( mbox_s4 @ ( hollywood @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( city @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( event @ X7 ) ) @ ( mand @ ( mbox_s4 @ ( chevy @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( car @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( white @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( dirty @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( old @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( street @ X9 ) ) @ ( mand @ ( mbox_s4 @ ( way @ X9 ) ) @ ( mand @ ( mbox_s4 @ ( lonely @ X9 ) ) @ ( mand @ ( mbox_s4 @ ( barrel @ X7 @ X8 ) ) @ ( mand @ ( mbox_s4 @ ( down @ X7 @ X9 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X7 @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ X10 @ X11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X10 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X10 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X10 ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X11 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X11 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X11 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X10 @ X13 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X13 @ X5 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X11 @ X14 ) ) @ ( mbox_s4 @ ( in @ X14 @ X5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.21/0.52 @ ( mbox_s4
% 0.21/0.52 @ ( mimplies
% 0.21/0.52 @ ( mexists_ind
% 0.21/0.52 @ ^ [X15: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X16: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X17: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X18: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X19: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X20: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X21: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X23: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X24: mu] : ( mand @ ( mbox_s4 @ ( seat @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( hollywood @ X16 ) ) @ ( mand @ ( mbox_s4 @ ( city @ X16 ) ) @ ( mand @ ( mbox_s4 @ ( event @ X17 ) ) @ ( mand @ ( mbox_s4 @ ( chevy @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( car @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( white @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( dirty @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( old @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( street @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( way @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( lonely @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( barrel @ X17 @ X18 ) ) @ ( mand @ ( mbox_s4 @ ( down @ X17 @ X19 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X17 @ X16 ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ X20 @ X21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X20 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X20 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X20 ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X21 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X21 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X21 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X20 @ X23 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X23 @ X15 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X21 @ X24 ) ) @ ( mbox_s4 @ ( in @ X24 @ X15 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.21/0.52 @ ( mexists_ind
% 0.21/0.52 @ ^ [X25: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X26: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X27: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X28: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X29: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X30: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X31: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X32: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X33: mu] :
% 0.21/0.52 ( mexists_ind
% 0.21/0.52 @ ^ [X34: mu] : ( mand @ ( mbox_s4 @ ( seat @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( hollywood @ X26 ) ) @ ( mand @ ( mbox_s4 @ ( city @ X26 ) ) @ ( mand @ ( mbox_s4 @ ( event @ X27 ) ) @ ( mand @ ( mbox_s4 @ ( chevy @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( car @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( white @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( dirty @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( old @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( street @ X29 ) ) @ ( mand @ ( mbox_s4 @ ( way @ X29 ) ) @ ( mand @ ( mbox_s4 @ ( lonely @ X29 ) ) @ ( mand @ ( mbox_s4 @ ( barrel @ X27 @ X28 ) ) @ ( mand @ ( mbox_s4 @ ( down @ X27 @ X29 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X27 @ X26 ) ) @ ( mand @ ( mbox_s4 @ ( seat @ X32 ) ) @ ( mand @ ( mbox_s4 @ ( furniture @ X32 ) ) @ ( mand @ ( mbox_s4 @ ( front @ X32 ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ X30 @ X31 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X30 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X30 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X30 ) ) @ ( mand @ ( mbox_s4 @ ( fellow @ X31 ) ) @ ( mand @ ( mbox_s4 @ ( man @ X31 ) ) @ ( mand @ ( mbox_s4 @ ( young @ X31 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X30 @ X33 ) ) @ ( mand @ ( mbox_s4 @ ( in @ X33 @ X25 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X31 @ X34 ) ) @ ( mbox_s4 @ ( in @ X34 @ X32 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.21/0.55
% 0.21/0.55 %------------------------------------------------------------------------------
% 0.21/0.55 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.tZqv8G8qNc/cvc5---1.0.5_7166.p...
% 0.21/0.55 (declare-sort $$unsorted 0)
% 0.21/0.55 (declare-sort tptp.mu 0)
% 0.21/0.55 (declare-fun tptp.qmltpeq (tptp.mu tptp.mu $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.meq_prop ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.55 (assert (= tptp.meq_prop (lambda ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool)) (W $$unsorted)) (= (@ X W) (@ Y W)))))
% 0.21/0.55 (declare-fun tptp.mnot ((-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.55 (assert (= tptp.mnot (lambda ((Phi (-> $$unsorted Bool)) (W $$unsorted)) (not (@ Phi W)))))
% 0.21/0.55 (declare-fun tptp.mor ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.55 (assert (= tptp.mor (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (W $$unsorted)) (or (@ Phi W) (@ Psi W)))))
% 0.21/0.55 (declare-fun tptp.mbox ((-> $$unsorted $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.55 (assert (= tptp.mbox (lambda ((R (-> $$unsorted $$unsorted Bool)) (Phi (-> $$unsorted Bool)) (W $$unsorted)) (forall ((V $$unsorted)) (or (not (@ (@ R W) V)) (@ Phi V))))))
% 0.21/0.55 (declare-fun tptp.mforall_prop ((-> (-> $$unsorted Bool) $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.55 (assert (= tptp.mforall_prop (lambda ((Phi (-> (-> $$unsorted Bool) $$unsorted Bool)) (W $$unsorted)) (forall ((P (-> $$unsorted Bool))) (@ (@ Phi P) W)))))
% 0.21/0.55 (declare-fun tptp.mtrue ($$unsorted) Bool)
% 0.21/0.55 (assert (= tptp.mtrue (lambda ((W $$unsorted)) true)))
% 0.21/0.55 (declare-fun tptp.mfalse ($$unsorted) Bool)
% 0.21/0.55 (assert (= tptp.mfalse (@ tptp.mnot tptp.mtrue)))
% 0.21/0.55 (declare-fun tptp.mand ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.55 (assert (= tptp.mand (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mor (@ tptp.mnot Phi)) (@ tptp.mnot Psi))) __flatten_var_0))))
% 0.21/0.55 (declare-fun tptp.mimplies ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.55 (assert (= tptp.mimplies (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mor (@ tptp.mnot Phi)) Psi) __flatten_var_0))))
% 0.21/0.55 (declare-fun tptp.mimplied ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.55 (assert (= tptp.mimplied (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mor (@ tptp.mnot Psi)) Phi) __flatten_var_0))))
% 0.21/0.55 (declare-fun tptp.mequiv ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.55 (assert (= tptp.mequiv (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mand (@ (@ tptp.mimplies Phi) Psi)) (@ (@ tptp.mimplies Psi) Phi)) __flatten_var_0))))
% 0.21/0.55 (declare-fun tptp.mxor ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.55 (assert (= tptp.mxor (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mequiv Phi) Psi)) __flatten_var_0))))
% 0.21/0.55 (declare-fun tptp.mdia ((-> $$unsorted $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.55 (assert (= tptp.mdia (lambda ((R (-> $$unsorted $$unsorted Bool)) (Phi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mbox R) (@ tptp.mnot Phi))) __flatten_var_0))))
% 0.21/0.55 (declare-fun tptp.exists_in_world (tptp.mu $$unsorted) Bool)
% 0.21/0.55 (assert (forall ((V $$unsorted)) (exists ((X tptp.mu)) (@ (@ tptp.exists_in_world X) V))))
% 0.21/0.55 (declare-fun tptp.mforall_ind ((-> tptp.mu $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.55 (assert (= tptp.mforall_ind (lambda ((Phi (-> tptp.mu $$unsorted Bool)) (W $$unsorted)) (forall ((X tptp.mu)) (=> (@ (@ tptp.exists_in_world X) W) (@ (@ Phi X) W))))))
% 0.21/0.55 (declare-fun tptp.mexists_ind ((-> tptp.mu $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.55 (assert (= tptp.mexists_ind (lambda ((Phi (-> tptp.mu $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ Phi X)) __flatten_var_0)))) __flatten_var_0))))
% 0.21/0.55 (declare-fun tptp.mexists_prop ((-> (-> $$unsorted Bool) $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.55 (assert (= tptp.mexists_prop (lambda ((Phi (-> (-> $$unsorted Bool) $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ tptp.mforall_prop (lambda ((P (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ Phi P)) __flatten_var_0)))) __flatten_var_0))))
% 0.21/0.55 (declare-fun tptp.mreflexive ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.55 (assert (= tptp.mreflexive (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (@ (@ R S) S)))))
% 0.21/0.55 (declare-fun tptp.msymmetric ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.55 (assert (= tptp.msymmetric (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted)) (=> (@ (@ R S) T) (@ (@ R T) S))))))
% 0.21/0.55 (declare-fun tptp.mserial ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.55 (assert (= tptp.mserial (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (exists ((T $$unsorted)) (@ (@ R S) T))))))
% 0.21/0.55 (declare-fun tptp.mtransitive ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.55 (assert (= tptp.mtransitive (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ (@ R T) U)) (@ _let_1 U)))))))
% 0.21/0.55 (declare-fun tptp.meuclidean ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.55 (assert (= tptp.meuclidean (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (@ (@ R T) U)))))))
% 0.21/0.55 (declare-fun tptp.mpartially_functional ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.55 (assert (= tptp.mpartially_functional (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (= T U)))))))
% 0.21/0.55 (declare-fun tptp.mfunctional ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.55 (assert (= tptp.mfunctional (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (exists ((T $$unsorted)) (and (@ (@ R S) T) (forall ((U $$unsorted)) (=> (@ (@ R S) U) (= T U)))))))))
% 0.21/0.55 (declare-fun tptp.mweakly_dense ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.55 (assert (= tptp.mweakly_dense (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (=> (@ (@ R S) T) (exists ((U $$unsorted)) (and (@ (@ R S) U) (@ (@ R U) T))))))))
% 0.21/0.55 (declare-fun tptp.mweakly_connected ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.55 (assert (= tptp.mweakly_connected (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (or (@ (@ R T) U) (= T U) (@ (@ R U) T))))))))
% 0.21/0.55 (declare-fun tptp.mweakly_directed ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.55 (assert (= tptp.mweakly_directed (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (exists ((V $$unsorted)) (and (@ (@ R T) V) (@ (@ R U) V)))))))))
% 0.21/0.55 (declare-fun tptp.mvalid ((-> $$unsorted Bool)) Bool)
% 0.21/0.55 (assert (= tptp.mvalid (lambda ((Phi (-> $$unsorted Bool))) (forall ((W $$unsorted)) (@ Phi W)))))
% 0.21/0.55 (declare-fun tptp.msatisfiable ((-> $$unsorted Bool)) Bool)
% 0.21/0.55 (assert (= tptp.msatisfiable (lambda ((Phi (-> $$unsorted Bool))) (exists ((W $$unsorted)) (@ Phi W)))))
% 0.21/0.55 (declare-fun tptp.mcountersatisfiable ((-> $$unsorted Bool)) Bool)
% 0.21/0.55 (assert (= tptp.mcountersatisfiable (lambda ((Phi (-> $$unsorted Bool))) (exists ((W $$unsorted)) (not (@ Phi W))))))
% 0.21/0.55 (declare-fun tptp.minvalid ((-> $$unsorted Bool)) Bool)
% 0.21/0.55 (assert (= tptp.minvalid (lambda ((Phi (-> $$unsorted Bool))) (forall ((W $$unsorted)) (not (@ Phi W))))))
% 0.21/0.55 (declare-fun tptp.rel_s4 ($$unsorted $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.mbox_s4 ((-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.55 (assert (= tptp.mbox_s4 (lambda ((Phi (-> $$unsorted Bool)) (W $$unsorted)) (forall ((V $$unsorted)) (or (not (@ (@ tptp.rel_s4 W) V)) (@ Phi V))))))
% 0.21/0.55 (declare-fun tptp.mdia_s4 ((-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.55 (assert (= tptp.mdia_s4 (lambda ((Phi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ tptp.mbox_s4 (@ tptp.mnot Phi))) __flatten_var_0))))
% 0.21/0.55 (assert (@ tptp.mreflexive tptp.rel_s4))
% 0.21/0.55 (assert (@ tptp.mtransitive tptp.rel_s4))
% 0.21/0.55 (assert (forall ((X tptp.mu) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (@ tptp.exists_in_world X))) (=> (and (@ _let_1 V) (@ (@ tptp.rel_s4 V) W)) (@ _let_1 W)))))
% 0.21/0.55 (declare-fun tptp.young (tptp.mu $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.man (tptp.mu $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.fellow (tptp.mu $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.in (tptp.mu tptp.mu $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.down (tptp.mu tptp.mu $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.barrel (tptp.mu tptp.mu $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.lonely (tptp.mu $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.way (tptp.mu $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.street (tptp.mu $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.old (tptp.mu $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.dirty (tptp.mu $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.white (tptp.mu $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.car (tptp.mu $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.chevy (tptp.mu $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.event (tptp.mu $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.city (tptp.mu $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.hollywood (tptp.mu $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.front (tptp.mu $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.furniture (tptp.mu $$unsorted) Bool)
% 0.21/0.55 (declare-fun tptp.seat (tptp.mu $$unsorted) Bool)
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq X) X)) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((Y tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq X) Y))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq Y) X)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((Y tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((Z tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq X))) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_1 Y))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq Y) Z)))) (@ tptp.mbox_s4 (@ _let_1 Z)))) __flatten_var_0))))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ (@ tptp.barrel A) C)))) (@ tptp.mbox_s4 (@ (@ tptp.barrel B) C)))) __flatten_var_0)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.barrel C))) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ _let_1 A)))) (@ tptp.mbox_s4 (@ _let_1 B)))) __flatten_var_0))))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ tptp.car A)))) (@ tptp.mbox_s4 (@ tptp.car B)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ tptp.chevy A)))) (@ tptp.mbox_s4 (@ tptp.chevy B)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ tptp.city A)))) (@ tptp.mbox_s4 (@ tptp.city B)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ tptp.dirty A)))) (@ tptp.mbox_s4 (@ tptp.dirty B)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ (@ tptp.down A) C)))) (@ tptp.mbox_s4 (@ (@ tptp.down B) C)))) __flatten_var_0)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.down C))) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ _let_1 A)))) (@ tptp.mbox_s4 (@ _let_1 B)))) __flatten_var_0))))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ tptp.event A)))) (@ tptp.mbox_s4 (@ tptp.event B)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ tptp.fellow A)))) (@ tptp.mbox_s4 (@ tptp.fellow B)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ tptp.front A)))) (@ tptp.mbox_s4 (@ tptp.front B)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ tptp.furniture A)))) (@ tptp.mbox_s4 (@ tptp.furniture B)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ tptp.hollywood A)))) (@ tptp.mbox_s4 (@ tptp.hollywood B)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ (@ tptp.in A) C)))) (@ tptp.mbox_s4 (@ (@ tptp.in B) C)))) __flatten_var_0)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.in C))) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ _let_1 A)))) (@ tptp.mbox_s4 (@ _let_1 B)))) __flatten_var_0))))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ tptp.lonely A)))) (@ tptp.mbox_s4 (@ tptp.lonely B)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ tptp.man A)))) (@ tptp.mbox_s4 (@ tptp.man B)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ tptp.old A)))) (@ tptp.mbox_s4 (@ tptp.old B)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ tptp.seat A)))) (@ tptp.mbox_s4 (@ tptp.seat B)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ tptp.street A)))) (@ tptp.mbox_s4 (@ tptp.street B)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ tptp.way A)))) (@ tptp.mbox_s4 (@ tptp.way B)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ tptp.white A)))) (@ tptp.mbox_s4 (@ tptp.white B)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ tptp.young A)))) (@ tptp.mbox_s4 (@ tptp.young B)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.21/0.55 (assert (not (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ tptp.mexists_ind (lambda ((U tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((V tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((W tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((Y tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((Z tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X1 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X2 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X3 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X4 tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq Z))) (@ (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.seat U))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.furniture U))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.front U))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.hollywood V))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.city V))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.event W))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.chevy X))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.car X))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.white X))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.dirty X))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.old X))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.street Y))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.way Y))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.lonely Y))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.barrel W) X))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.down W) Y))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.in W) V))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.seat X2))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.furniture X2))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.front X2))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_1 X1))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.fellow Z))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.man Z))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.young Z))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.fellow X1))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.man X1))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.young X1))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_1 X3))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.in X3) U))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq X1) X4))) (@ tptp.mbox_s4 (@ (@ tptp.in X4) X2)))))))))))))))))))))))))))))))) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mexists_ind (lambda ((X5 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X6 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X7 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X8 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X9 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X10 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X11 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X13 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X14 tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq X10))) (@ (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.seat X5))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.furniture X5))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.front X5))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.hollywood X6))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.city X6))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.event X7))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.chevy X8))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.car X8))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.white X8))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.dirty X8))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.old X8))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.street X9))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.way X9))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.lonely X9))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.barrel X7) X8))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.down X7) X9))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.in X7) X6))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_1 X11))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.fellow X10))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.man X10))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.young X10))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.fellow X11))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.man X11))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.young X11))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_1 X13))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.in X13) X5))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq X11) X14))) (@ tptp.mbox_s4 (@ (@ tptp.in X14) X5))))))))))))))))))))))))))))) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))))) (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ tptp.mexists_ind (lambda ((X15 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X16 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X17 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X18 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X19 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X20 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X21 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X23 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X24 tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq X20))) (@ (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.seat X15))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.furniture X15))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.front X15))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.hollywood X16))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.city X16))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.event X17))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.chevy X18))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.car X18))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.white X18))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.dirty X18))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.old X18))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.street X19))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.way X19))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.lonely X19))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.barrel X17) X18))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.down X17) X19))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.in X17) X16))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_1 X21))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.fellow X20))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.man X20))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.young X20))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.fellow X21))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.man X21))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.young X21))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_1 X23))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.in X23) X15))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq X21) X24))) (@ tptp.mbox_s4 (@ (@ tptp.in X24) X15))))))))))))))))))))))))))))) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))) (@ tptp.mexists_ind (lambda ((X25 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X26 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X27 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X28 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X29 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X30 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X31 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X32 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X33 tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((X34 tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq X30))) (@ (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.seat X25))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.furniture X25))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.front X25))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.hollywood X26))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.city X26))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.event X27))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.chevy X28))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.car X28))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.white X28))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.dirty X28))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.old X28))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.street X29))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.way X29))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.lonely X29))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.barrel X27) X28))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.down X27) X29))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.in X27) X26))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.seat X32))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.furniture X32))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.front X32))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_1 X31))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.fellow X30))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.man X30))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.young X30))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.fellow X31))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.man X31))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.young X31))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_1 X33))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.in X33) X25))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq X31) X34))) (@ tptp.mbox_s4 (@ (@ tptp.in X34) X32)))))))))))))))))))))))))))))))) __flatten_var_0)))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0))) __flatten_var_0)))))))))
% 0.21/0.56 (set-info :filename cvc5---1.0.5_7166)
% 0.21/0.56 (check-sat-assuming ( true ))
% 0.21/0.56 ------- get file name : TPTP file name is NLP006^7
% 0.21/0.56 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7166.smt2...
% 0.21/0.56 --- Run --ho-elim --full-/export/starexec/sandbox2/solver/bin/do_THM_THF: line 35: 7704 Alarm clock ( read result; case "$result" in
% 299.99/300.30 unsat)
% 299.99/300.30 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.99/300.30 ;;
% 299.99/300.30 sat)
% 299.99/300.30 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.99/300.30 ;;
% 299.99/300.30 esac; exit 1 )
% 299.99/300.31 saturate-quant at 10...
% 299.99/300.31 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 299.99/300.31 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 299.99/300.31 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 299.99/300.31 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 299.99/300.31 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 299.99/300.31 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
% 299.99/300.31 --- Run --ho-elim --full-saturate-quant --enum-inst-interleave at 10...
% 299.99/300.31 --- Run --no-ho-matching --full-saturate-quant --ho-elim-store-ax at 10...
% 299.99/300.31 --- Run --ho-elim --no-ho-elim-store-ax --full-saturate-quant...
% 299.99/300.31 % cvc5---1.0.5 exiting
% 299.99/300.31 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------