TSTP Solution File: ALG016^7 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ALG016^7 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 : Wed Aug 30 16:07:52 EDT 2023
% Result : Timeout 299.75s 300.33s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.18 % Problem : ALG016^7 : TPTP v8.1.2. Released v5.5.0.
% 0.09/0.19 % Command : do_cvc5 %s %d
% 0.18/0.40 % Computer : n029.cluster.edu
% 0.18/0.40 % Model : x86_64 x86_64
% 0.18/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.40 % Memory : 8042.1875MB
% 0.18/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.40 % CPULimit : 300
% 0.18/0.40 % WCLimit : 300
% 0.18/0.40 % DateTime : Mon Aug 28 06:00:11 EDT 2023
% 0.18/0.40 % CPUTime :
% 0.25/0.58 %----Proving TH0
% 0.25/0.59 %------------------------------------------------------------------------------
% 0.25/0.59 % File : ALG016^7 : TPTP v8.1.2. Released v5.5.0.
% 0.25/0.59 % Domain : General Algebra
% 0.25/0.59 % Problem : Groups 4: CPROPS-ISO-COMPLETE-PROBLEM-2
% 0.25/0.59 % Version : [Ben12] axioms.
% 0.25/0.59 % English :
% 0.25/0.59
% 0.25/0.59 % Refs : [Goe69] Goedel (1969), An Interpretation of the Intuitionistic
% 0.25/0.59 % : [CM+04] Colton et al. (2004), Automatic Generation of Classifi
% 0.25/0.59 % : [Ben12] Benzmueller (2012), Email to Geoff Sutcliffe
% 0.25/0.59 % Source : [Ben12]
% 0.25/0.59 % Names : s4-cumul-GAL016+1 [Ben12]
% 0.25/0.59
% 0.25/0.59 % Status : Theorem
% 0.25/0.59 % Rating : 1.00 v5.5.0
% 0.25/0.59 % Syntax : Number of formulae : 151 ( 51 unt; 54 typ; 32 def)
% 0.25/0.59 % Number of atoms : 2742 ( 36 equ; 0 cnn)
% 0.25/0.59 % Maximal formula atoms : 384 ( 28 avg)
% 0.25/0.59 % Number of connectives : 6833 ( 5 ~; 5 |; 9 &;6804 @)
% 0.25/0.59 % ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% 0.25/0.59 % Maximal formula depth : 73 ( 11 avg)
% 0.25/0.59 % Number of types : 3 ( 1 usr)
% 0.25/0.59 % Number of type conns : 190 ( 190 >; 0 *; 0 +; 0 <<)
% 0.25/0.59 % Number of symbols : 64 ( 62 usr; 20 con; 0-3 aty)
% 0.25/0.59 % Number of variables : 148 ( 79 ^; 62 !; 7 ?; 148 :)
% 0.25/0.59 % SPC : TH0_THM_EQU_NAR
% 0.25/0.59
% 0.25/0.59 % Comments : Goedel translation of ALG016+1
% 0.25/0.59 %------------------------------------------------------------------------------
% 0.25/0.59 %----Include axioms for Modal logic S4 under cumulative domains
% 0.25/0.59 %------------------------------------------------------------------------------
% 0.25/0.59 %----Declaration of additional base type mu
% 0.25/0.59 thf(mu_type,type,
% 0.25/0.59 mu: $tType ).
% 0.25/0.59
% 0.25/0.59 %----Equality
% 0.25/0.59 thf(qmltpeq_type,type,
% 0.25/0.59 qmltpeq: mu > mu > $i > $o ).
% 0.25/0.59
% 0.25/0.59 % originale Definition
% 0.25/0.59 %thf(qmltpeq,definition,
% 0.25/0.59 % ( qmltpeq
% 0.25/0.59 % = ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) )).
% 0.25/0.59
% 0.25/0.59 % erweiterte Leibnitz-Definition
% 0.25/0.59 %thf(qmltpeq,definition,
% 0.25/0.59 % ( qmltpeq
% 0.25/0.59 % = ( ^ [X: mu,Y: mu,W: $i] : (![P: mu > $i > $o]: ( (P @ X @ W) <=> (P @ Y @ W) ) ) ) )).
% 0.25/0.59
% 0.25/0.59 % Leibnitz-Definition
% 0.25/0.59 %thf(qmltpeq,definition,
% 0.25/0.59 % ( qmltpeq
% 0.25/0.59 % = ( ^ [X: mu,Y: mu,W: $i] : (! [P: mu > $o]: ( (P @ X) <=> (P @ Y) ) ) ) )).
% 0.25/0.59
% 0.25/0.59 thf(meq_prop_type,type,
% 0.25/0.59 meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.25/0.59
% 0.25/0.59 thf(meq_prop,definition,
% 0.25/0.59 ( meq_prop
% 0.25/0.59 = ( ^ [X: $i > $o,Y: $i > $o,W: $i] :
% 0.25/0.59 ( ( X @ W )
% 0.25/0.59 = ( Y @ W ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 %----Modal operators not, or, box, Pi
% 0.25/0.59 thf(mnot_type,type,
% 0.25/0.59 mnot: ( $i > $o ) > $i > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mnot,definition,
% 0.25/0.59 ( mnot
% 0.25/0.59 = ( ^ [Phi: $i > $o,W: $i] :
% 0.25/0.59 ~ ( Phi @ W ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(mor_type,type,
% 0.25/0.59 mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mor,definition,
% 0.25/0.59 ( mor
% 0.25/0.59 = ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
% 0.25/0.59 ( ( Phi @ W )
% 0.25/0.59 | ( Psi @ W ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(mbox_type,type,
% 0.25/0.59 mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mbox,definition,
% 0.25/0.59 ( mbox
% 0.25/0.59 = ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
% 0.25/0.59 ! [V: $i] :
% 0.25/0.59 ( ~ ( R @ W @ V )
% 0.25/0.59 | ( Phi @ V ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(mforall_prop_type,type,
% 0.25/0.59 mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mforall_prop,definition,
% 0.25/0.59 ( mforall_prop
% 0.25/0.59 = ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
% 0.25/0.59 ! [P: $i > $o] : ( Phi @ P @ W ) ) ) ).
% 0.25/0.59
% 0.25/0.59 %----Further modal operators
% 0.25/0.59 thf(mtrue_type,type,
% 0.25/0.59 mtrue: $i > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mtrue,definition,
% 0.25/0.59 ( mtrue
% 0.25/0.59 = ( ^ [W: $i] : $true ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(mfalse_type,type,
% 0.25/0.59 mfalse: $i > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mfalse,definition,
% 0.25/0.59 ( mfalse
% 0.25/0.59 = ( mnot @ mtrue ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(mand_type,type,
% 0.25/0.59 mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mand,definition,
% 0.25/0.59 ( mand
% 0.25/0.59 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(mimplies_type,type,
% 0.25/0.59 mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mimplies,definition,
% 0.25/0.59 ( mimplies
% 0.25/0.59 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(mimplied_type,type,
% 0.25/0.59 mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mimplied,definition,
% 0.25/0.59 ( mimplied
% 0.25/0.59 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(mequiv_type,type,
% 0.25/0.59 mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mequiv,definition,
% 0.25/0.59 ( mequiv
% 0.25/0.59 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(mxor_type,type,
% 0.25/0.59 mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mxor,definition,
% 0.25/0.59 ( mxor
% 0.25/0.59 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(mdia_type,type,
% 0.25/0.59 mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mdia,definition,
% 0.25/0.59 ( mdia
% 0.25/0.59 = ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 %--- (new for cumulative)
% 0.25/0.59 %---Declaration of existence predicate for simulating cumulative domain
% 0.25/0.59 thf(exists_in_world_type,type,
% 0.25/0.59 exists_in_world: mu > $i > $o ).
% 0.25/0.59
% 0.25/0.59 %----The domains are non-empty
% 0.25/0.59 thf(nonempty_ax,axiom,
% 0.25/0.59 ! [V: $i] :
% 0.25/0.59 ? [X: mu] : ( exists_in_world @ X @ V ) ).
% 0.25/0.59
% 0.25/0.59 thf(mforall_ind_type,type,
% 0.25/0.59 mforall_ind: ( mu > $i > $o ) > $i > $o ).
% 0.25/0.59
% 0.25/0.59 %--- (new for cumulative)
% 0.25/0.59 thf(mforall_ind,definition,
% 0.25/0.59 ( mforall_ind
% 0.25/0.59 = ( ^ [Phi: mu > $i > $o,W: $i] :
% 0.25/0.59 ! [X: mu] :
% 0.25/0.59 ( ( exists_in_world @ X @ W )
% 0.25/0.59 => ( Phi @ X @ W ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 %thf(mforall_ind,definition,
% 0.25/0.59 % ( mforall_ind
% 0.25/0.59 % = ( ^ [Phi: mu > $i > $o,W: $i] :
% 0.25/0.59 % ! [X: mu] :
% 0.25/0.59 % ( Phi @ X @ W ) ) )).
% 0.25/0.59
% 0.25/0.59 thf(mexists_ind_type,type,
% 0.25/0.59 mexists_ind: ( mu > $i > $o ) > $i > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mexists_ind,definition,
% 0.25/0.59 ( mexists_ind
% 0.25/0.59 = ( ^ [Phi: mu > $i > $o] :
% 0.25/0.59 ( mnot
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(mexists_prop_type,type,
% 0.25/0.59 mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mexists_prop,definition,
% 0.25/0.59 ( mexists_prop
% 0.25/0.59 = ( ^ [Phi: ( $i > $o ) > $i > $o] :
% 0.25/0.59 ( mnot
% 0.25/0.59 @ ( mforall_prop
% 0.25/0.59 @ ^ [P: $i > $o] : ( mnot @ ( Phi @ P ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 %----Definition of properties of accessibility relations
% 0.25/0.59 thf(mreflexive_type,type,
% 0.25/0.59 mreflexive: ( $i > $i > $o ) > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mreflexive,definition,
% 0.25/0.59 ( mreflexive
% 0.25/0.59 = ( ^ [R: $i > $i > $o] :
% 0.25/0.59 ! [S: $i] : ( R @ S @ S ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(msymmetric_type,type,
% 0.25/0.59 msymmetric: ( $i > $i > $o ) > $o ).
% 0.25/0.59
% 0.25/0.59 thf(msymmetric,definition,
% 0.25/0.59 ( msymmetric
% 0.25/0.59 = ( ^ [R: $i > $i > $o] :
% 0.25/0.59 ! [S: $i,T: $i] :
% 0.25/0.59 ( ( R @ S @ T )
% 0.25/0.59 => ( R @ T @ S ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(mserial_type,type,
% 0.25/0.59 mserial: ( $i > $i > $o ) > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mserial,definition,
% 0.25/0.59 ( mserial
% 0.25/0.59 = ( ^ [R: $i > $i > $o] :
% 0.25/0.59 ! [S: $i] :
% 0.25/0.59 ? [T: $i] : ( R @ S @ T ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(mtransitive_type,type,
% 0.25/0.59 mtransitive: ( $i > $i > $o ) > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mtransitive,definition,
% 0.25/0.59 ( mtransitive
% 0.25/0.59 = ( ^ [R: $i > $i > $o] :
% 0.25/0.59 ! [S: $i,T: $i,U: $i] :
% 0.25/0.59 ( ( ( R @ S @ T )
% 0.25/0.59 & ( R @ T @ U ) )
% 0.25/0.59 => ( R @ S @ U ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(meuclidean_type,type,
% 0.25/0.59 meuclidean: ( $i > $i > $o ) > $o ).
% 0.25/0.59
% 0.25/0.59 thf(meuclidean,definition,
% 0.25/0.59 ( meuclidean
% 0.25/0.59 = ( ^ [R: $i > $i > $o] :
% 0.25/0.59 ! [S: $i,T: $i,U: $i] :
% 0.25/0.59 ( ( ( R @ S @ T )
% 0.25/0.59 & ( R @ S @ U ) )
% 0.25/0.59 => ( R @ T @ U ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(mpartially_functional_type,type,
% 0.25/0.59 mpartially_functional: ( $i > $i > $o ) > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mpartially_functional,definition,
% 0.25/0.59 ( mpartially_functional
% 0.25/0.59 = ( ^ [R: $i > $i > $o] :
% 0.25/0.59 ! [S: $i,T: $i,U: $i] :
% 0.25/0.59 ( ( ( R @ S @ T )
% 0.25/0.59 & ( R @ S @ U ) )
% 0.25/0.59 => ( T = U ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(mfunctional_type,type,
% 0.25/0.59 mfunctional: ( $i > $i > $o ) > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mfunctional,definition,
% 0.25/0.59 ( mfunctional
% 0.25/0.59 = ( ^ [R: $i > $i > $o] :
% 0.25/0.59 ! [S: $i] :
% 0.25/0.59 ? [T: $i] :
% 0.25/0.59 ( ( R @ S @ T )
% 0.25/0.59 & ! [U: $i] :
% 0.25/0.59 ( ( R @ S @ U )
% 0.25/0.59 => ( T = U ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(mweakly_dense_type,type,
% 0.25/0.59 mweakly_dense: ( $i > $i > $o ) > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mweakly_dense,definition,
% 0.25/0.59 ( mweakly_dense
% 0.25/0.59 = ( ^ [R: $i > $i > $o] :
% 0.25/0.59 ! [S: $i,T: $i,U: $i] :
% 0.25/0.59 ( ( R @ S @ T )
% 0.25/0.59 => ? [U: $i] :
% 0.25/0.59 ( ( R @ S @ U )
% 0.25/0.59 & ( R @ U @ T ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(mweakly_connected_type,type,
% 0.25/0.59 mweakly_connected: ( $i > $i > $o ) > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mweakly_connected,definition,
% 0.25/0.59 ( mweakly_connected
% 0.25/0.59 = ( ^ [R: $i > $i > $o] :
% 0.25/0.59 ! [S: $i,T: $i,U: $i] :
% 0.25/0.59 ( ( ( R @ S @ T )
% 0.25/0.59 & ( R @ S @ U ) )
% 0.25/0.59 => ( ( R @ T @ U )
% 0.25/0.59 | ( T = U )
% 0.25/0.59 | ( R @ U @ T ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(mweakly_directed_type,type,
% 0.25/0.59 mweakly_directed: ( $i > $i > $o ) > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mweakly_directed,definition,
% 0.25/0.59 ( mweakly_directed
% 0.25/0.59 = ( ^ [R: $i > $i > $o] :
% 0.25/0.59 ! [S: $i,T: $i,U: $i] :
% 0.25/0.59 ( ( ( R @ S @ T )
% 0.25/0.59 & ( R @ S @ U ) )
% 0.25/0.59 => ? [V: $i] :
% 0.25/0.59 ( ( R @ T @ V )
% 0.25/0.59 & ( R @ U @ V ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 %----Definition of validity
% 0.25/0.59 thf(mvalid_type,type,
% 0.25/0.59 mvalid: ( $i > $o ) > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mvalid,definition,
% 0.25/0.59 ( mvalid
% 0.25/0.59 = ( ^ [Phi: $i > $o] :
% 0.25/0.59 ! [W: $i] : ( Phi @ W ) ) ) ).
% 0.25/0.59
% 0.25/0.59 %----Definition of satisfiability
% 0.25/0.59 thf(msatisfiable_type,type,
% 0.25/0.59 msatisfiable: ( $i > $o ) > $o ).
% 0.25/0.59
% 0.25/0.59 thf(msatisfiable,definition,
% 0.25/0.59 ( msatisfiable
% 0.25/0.59 = ( ^ [Phi: $i > $o] :
% 0.25/0.59 ? [W: $i] : ( Phi @ W ) ) ) ).
% 0.25/0.59
% 0.25/0.59 %----Definition of countersatisfiability
% 0.25/0.59 thf(mcountersatisfiable_type,type,
% 0.25/0.59 mcountersatisfiable: ( $i > $o ) > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mcountersatisfiable,definition,
% 0.25/0.59 ( mcountersatisfiable
% 0.25/0.59 = ( ^ [Phi: $i > $o] :
% 0.25/0.59 ? [W: $i] :
% 0.25/0.59 ~ ( Phi @ W ) ) ) ).
% 0.25/0.59
% 0.25/0.59 %----Definition of invalidity
% 0.25/0.59 thf(minvalid_type,type,
% 0.25/0.59 minvalid: ( $i > $o ) > $o ).
% 0.25/0.59
% 0.25/0.59 thf(minvalid,definition,
% 0.25/0.59 ( minvalid
% 0.25/0.59 = ( ^ [Phi: $i > $o] :
% 0.25/0.59 ! [W: $i] :
% 0.25/0.59 ~ ( Phi @ W ) ) ) ).
% 0.25/0.59
% 0.25/0.59 %------------------------------------------------------------------------------
% 0.25/0.59 %------------------------------------------------------------------------------
% 0.25/0.59 %----We reserve an accessibility relation constant rel_s4
% 0.25/0.59 thf(rel_s4_type,type,
% 0.25/0.59 rel_s4: $i > $i > $o ).
% 0.25/0.59
% 0.25/0.59 %----We define mbox_s4 and mdia_s4 based on rel_s4
% 0.25/0.59 thf(mbox_s4_type,type,
% 0.25/0.59 mbox_s4: ( $i > $o ) > $i > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mbox_s4,definition,
% 0.25/0.59 ( mbox_s4
% 0.25/0.59 = ( ^ [Phi: $i > $o,W: $i] :
% 0.25/0.59 ! [V: $i] :
% 0.25/0.59 ( ~ ( rel_s4 @ W @ V )
% 0.25/0.59 | ( Phi @ V ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(mdia_s4_type,type,
% 0.25/0.59 mdia_s4: ( $i > $o ) > $i > $o ).
% 0.25/0.59
% 0.25/0.59 thf(mdia_s4,definition,
% 0.25/0.59 ( mdia_s4
% 0.25/0.59 = ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_s4 @ ( mnot @ Phi ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 %----We have now two options for stating the B conditions:
% 0.25/0.59 %----We can (i) directly formulate conditions for the accessibility relation
% 0.25/0.59 %----constant or we can (ii) state corresponding axioms. We here prefer (i)
% 0.25/0.59 thf(a1,axiom,
% 0.25/0.59 mreflexive @ rel_s4 ).
% 0.25/0.59
% 0.25/0.59 thf(a2,axiom,
% 0.25/0.59 mtransitive @ rel_s4 ).
% 0.25/0.59
% 0.25/0.59 %------------------------------------------------------------------------------
% 0.25/0.59 %------------------------------------------------------------------------------
% 0.25/0.59 thf(cumulative_ax,axiom,
% 0.25/0.59 ! [X: mu,V: $i,W: $i] :
% 0.25/0.59 ( ( ( exists_in_world @ X @ V )
% 0.25/0.59 & ( rel_s4 @ V @ W ) )
% 0.25/0.59 => ( exists_in_world @ X @ W ) ) ).
% 0.25/0.59
% 0.25/0.59 %------------------------------------------------------------------------------
% 0.25/0.59 %------------------------------------------------------------------------------
% 0.25/0.59 thf(unit1_type,type,
% 0.25/0.59 unit1: mu ).
% 0.25/0.59
% 0.25/0.59 thf(existence_of_unit1_ax,axiom,
% 0.25/0.59 ! [V: $i] : ( exists_in_world @ unit1 @ V ) ).
% 0.25/0.59
% 0.25/0.59 thf(inv1_type,type,
% 0.25/0.59 inv1: mu > mu ).
% 0.25/0.59
% 0.25/0.59 thf(existence_of_inv1_ax,axiom,
% 0.25/0.59 ! [V: $i,V1: mu] : ( exists_in_world @ ( inv1 @ V1 ) @ V ) ).
% 0.25/0.59
% 0.25/0.59 thf(unit2_type,type,
% 0.25/0.59 unit2: mu ).
% 0.25/0.59
% 0.25/0.59 thf(existence_of_unit2_ax,axiom,
% 0.25/0.59 ! [V: $i] : ( exists_in_world @ unit2 @ V ) ).
% 0.25/0.59
% 0.25/0.59 thf(inv2_type,type,
% 0.25/0.59 inv2: mu > mu ).
% 0.25/0.59
% 0.25/0.59 thf(existence_of_inv2_ax,axiom,
% 0.25/0.59 ! [V: $i,V1: mu] : ( exists_in_world @ ( inv2 @ V1 ) @ V ) ).
% 0.25/0.59
% 0.25/0.59 thf(h4_type,type,
% 0.25/0.59 h4: mu > mu ).
% 0.25/0.59
% 0.25/0.59 thf(existence_of_h4_ax,axiom,
% 0.25/0.59 ! [V: $i,V1: mu] : ( exists_in_world @ ( h4 @ V1 ) @ V ) ).
% 0.25/0.59
% 0.25/0.59 thf(h3_type,type,
% 0.25/0.59 h3: mu > mu ).
% 0.25/0.59
% 0.25/0.59 thf(existence_of_h3_ax,axiom,
% 0.25/0.59 ! [V: $i,V1: mu] : ( exists_in_world @ ( h3 @ V1 ) @ V ) ).
% 0.25/0.59
% 0.25/0.59 thf(h2_type,type,
% 0.25/0.59 h2: mu > mu ).
% 0.25/0.59
% 0.25/0.59 thf(existence_of_h2_ax,axiom,
% 0.25/0.59 ! [V: $i,V1: mu] : ( exists_in_world @ ( h2 @ V1 ) @ V ) ).
% 0.25/0.59
% 0.25/0.59 thf(e23_type,type,
% 0.25/0.59 e23: mu ).
% 0.25/0.59
% 0.25/0.59 thf(existence_of_e23_ax,axiom,
% 0.25/0.59 ! [V: $i] : ( exists_in_world @ e23 @ V ) ).
% 0.25/0.59
% 0.25/0.59 thf(e22_type,type,
% 0.25/0.59 e22: mu ).
% 0.25/0.59
% 0.25/0.59 thf(existence_of_e22_ax,axiom,
% 0.25/0.59 ! [V: $i] : ( exists_in_world @ e22 @ V ) ).
% 0.25/0.59
% 0.25/0.59 thf(e21_type,type,
% 0.25/0.59 e21: mu ).
% 0.25/0.59
% 0.25/0.59 thf(existence_of_e21_ax,axiom,
% 0.25/0.59 ! [V: $i] : ( exists_in_world @ e21 @ V ) ).
% 0.25/0.59
% 0.25/0.59 thf(e20_type,type,
% 0.25/0.59 e20: mu ).
% 0.25/0.59
% 0.25/0.59 thf(existence_of_e20_ax,axiom,
% 0.25/0.59 ! [V: $i] : ( exists_in_world @ e20 @ V ) ).
% 0.25/0.59
% 0.25/0.59 thf(e13_type,type,
% 0.25/0.59 e13: mu ).
% 0.25/0.59
% 0.25/0.59 thf(existence_of_e13_ax,axiom,
% 0.25/0.59 ! [V: $i] : ( exists_in_world @ e13 @ V ) ).
% 0.25/0.59
% 0.25/0.59 thf(e12_type,type,
% 0.25/0.59 e12: mu ).
% 0.25/0.59
% 0.25/0.59 thf(existence_of_e12_ax,axiom,
% 0.25/0.59 ! [V: $i] : ( exists_in_world @ e12 @ V ) ).
% 0.25/0.59
% 0.25/0.59 thf(e11_type,type,
% 0.25/0.59 e11: mu ).
% 0.25/0.59
% 0.25/0.59 thf(existence_of_e11_ax,axiom,
% 0.25/0.59 ! [V: $i] : ( exists_in_world @ e11 @ V ) ).
% 0.25/0.59
% 0.25/0.59 thf(op2_type,type,
% 0.25/0.59 op2: mu > mu > mu ).
% 0.25/0.59
% 0.25/0.59 thf(existence_of_op2_ax,axiom,
% 0.25/0.59 ! [V: $i,V2: mu,V1: mu] : ( exists_in_world @ ( op2 @ V2 @ V1 ) @ V ) ).
% 0.25/0.59
% 0.25/0.59 thf(e10_type,type,
% 0.25/0.59 e10: mu ).
% 0.25/0.59
% 0.25/0.59 thf(existence_of_e10_ax,axiom,
% 0.25/0.59 ! [V: $i] : ( exists_in_world @ e10 @ V ) ).
% 0.25/0.59
% 0.25/0.59 thf(op1_type,type,
% 0.25/0.59 op1: mu > mu > mu ).
% 0.25/0.59
% 0.25/0.59 thf(existence_of_op1_ax,axiom,
% 0.25/0.59 ! [V: $i,V2: mu,V1: mu] : ( exists_in_world @ ( op1 @ V2 @ V1 ) @ V ) ).
% 0.25/0.59
% 0.25/0.59 thf(h1_type,type,
% 0.25/0.59 h1: mu > mu ).
% 0.25/0.59
% 0.25/0.59 thf(existence_of_h1_ax,axiom,
% 0.25/0.59 ! [V: $i,V1: mu] : ( exists_in_world @ ( h1 @ V1 ) @ V ) ).
% 0.25/0.59
% 0.25/0.59 thf(reflexivity,axiom,
% 0.25/0.59 ( mvalid
% 0.25/0.59 @ ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [X: mu] : ( mbox_s4 @ ( qmltpeq @ X @ X ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(symmetry,axiom,
% 0.25/0.59 ( mvalid
% 0.25/0.59 @ ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [X: mu] :
% 0.25/0.59 ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [Y: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ X @ Y ) ) @ ( mbox_s4 @ ( qmltpeq @ Y @ X ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(transitivity,axiom,
% 0.25/0.59 ( mvalid
% 0.25/0.59 @ ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [X: mu] :
% 0.25/0.59 ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [Y: mu] :
% 0.25/0.59 ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [Z: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X @ Y ) ) @ ( mbox_s4 @ ( qmltpeq @ Y @ Z ) ) ) @ ( mbox_s4 @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(h1_substitution_1,axiom,
% 0.25/0.59 ( mvalid
% 0.25/0.59 @ ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [A: mu] :
% 0.25/0.59 ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ A ) @ ( h1 @ B ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(h2_substitution_1,axiom,
% 0.25/0.59 ( mvalid
% 0.25/0.59 @ ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [A: mu] :
% 0.25/0.59 ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ A ) @ ( h2 @ B ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(h3_substitution_1,axiom,
% 0.25/0.59 ( mvalid
% 0.25/0.59 @ ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [A: mu] :
% 0.25/0.59 ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ A ) @ ( h3 @ B ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(h4_substitution_1,axiom,
% 0.25/0.59 ( mvalid
% 0.25/0.59 @ ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [A: mu] :
% 0.25/0.59 ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ A ) @ ( h4 @ B ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(inv1_substitution_1,axiom,
% 0.25/0.59 ( mvalid
% 0.25/0.59 @ ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [A: mu] :
% 0.25/0.59 ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ A ) @ ( inv1 @ B ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(inv2_substitution_1,axiom,
% 0.25/0.59 ( mvalid
% 0.25/0.59 @ ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [A: mu] :
% 0.25/0.59 ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ A ) @ ( inv2 @ B ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(op1_substitution_1,axiom,
% 0.25/0.59 ( mvalid
% 0.25/0.59 @ ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [A: mu] :
% 0.25/0.59 ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [B: mu] :
% 0.25/0.59 ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ A @ C ) @ ( op1 @ B @ C ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(op1_substitution_2,axiom,
% 0.25/0.59 ( mvalid
% 0.25/0.59 @ ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [A: mu] :
% 0.25/0.59 ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [B: mu] :
% 0.25/0.59 ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ C @ A ) @ ( op1 @ C @ B ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(op2_substitution_1,axiom,
% 0.25/0.59 ( mvalid
% 0.25/0.59 @ ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [A: mu] :
% 0.25/0.59 ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [B: mu] :
% 0.25/0.59 ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ A @ C ) @ ( op2 @ B @ C ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(op2_substitution_2,axiom,
% 0.25/0.59 ( mvalid
% 0.25/0.59 @ ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [A: mu] :
% 0.25/0.59 ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [B: mu] :
% 0.25/0.59 ( mbox_s4
% 0.25/0.59 @ ( mforall_ind
% 0.25/0.59 @ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ C @ A ) @ ( op2 @ C @ B ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax1,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e10 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e10 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e10 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e10 ) @ e13 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e11 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e11 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e11 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e11 ) @ e13 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e12 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e12 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e12 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e12 ) @ e13 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e13 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e13 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e13 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e13 ) @ e13 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e10 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e10 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e10 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e10 ) @ e13 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e11 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e11 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e11 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e11 ) @ e13 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e12 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e12 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e12 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e12 ) @ e13 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e13 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e13 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e13 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e13 ) @ e13 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e10 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e10 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e10 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e10 ) @ e13 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e11 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e11 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e11 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e11 ) @ e13 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e12 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e12 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e12 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e12 ) @ e13 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e13 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e13 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e13 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e13 ) @ e13 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e10 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e10 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e10 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e10 ) @ e13 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e11 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e11 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e11 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e11 ) @ e13 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e12 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e12 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e12 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e12 ) @ e13 ) ) ) ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e13 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e13 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e13 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e13 ) @ e13 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax2,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e10 @ e10 ) @ e10 ) @ ( op1 @ e10 @ ( op1 @ e10 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e10 @ e10 ) @ e11 ) @ ( op1 @ e10 @ ( op1 @ e10 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e10 @ e10 ) @ e12 ) @ ( op1 @ e10 @ ( op1 @ e10 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e10 @ e10 ) @ e13 ) @ ( op1 @ e10 @ ( op1 @ e10 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e10 @ e11 ) @ e10 ) @ ( op1 @ e10 @ ( op1 @ e11 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e10 @ e11 ) @ e11 ) @ ( op1 @ e10 @ ( op1 @ e11 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e10 @ e11 ) @ e12 ) @ ( op1 @ e10 @ ( op1 @ e11 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e10 @ e11 ) @ e13 ) @ ( op1 @ e10 @ ( op1 @ e11 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e10 @ e12 ) @ e10 ) @ ( op1 @ e10 @ ( op1 @ e12 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e10 @ e12 ) @ e11 ) @ ( op1 @ e10 @ ( op1 @ e12 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e10 @ e12 ) @ e12 ) @ ( op1 @ e10 @ ( op1 @ e12 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e10 @ e12 ) @ e13 ) @ ( op1 @ e10 @ ( op1 @ e12 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e10 @ e13 ) @ e10 ) @ ( op1 @ e10 @ ( op1 @ e13 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e10 @ e13 ) @ e11 ) @ ( op1 @ e10 @ ( op1 @ e13 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e10 @ e13 ) @ e12 ) @ ( op1 @ e10 @ ( op1 @ e13 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e10 @ e13 ) @ e13 ) @ ( op1 @ e10 @ ( op1 @ e13 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e11 @ e10 ) @ e10 ) @ ( op1 @ e11 @ ( op1 @ e10 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e11 @ e10 ) @ e11 ) @ ( op1 @ e11 @ ( op1 @ e10 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e11 @ e10 ) @ e12 ) @ ( op1 @ e11 @ ( op1 @ e10 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e11 @ e10 ) @ e13 ) @ ( op1 @ e11 @ ( op1 @ e10 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e11 @ e11 ) @ e10 ) @ ( op1 @ e11 @ ( op1 @ e11 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e11 @ e11 ) @ e11 ) @ ( op1 @ e11 @ ( op1 @ e11 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e11 @ e11 ) @ e12 ) @ ( op1 @ e11 @ ( op1 @ e11 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e11 @ e11 ) @ e13 ) @ ( op1 @ e11 @ ( op1 @ e11 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e11 @ e12 ) @ e10 ) @ ( op1 @ e11 @ ( op1 @ e12 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e11 @ e12 ) @ e11 ) @ ( op1 @ e11 @ ( op1 @ e12 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e11 @ e12 ) @ e12 ) @ ( op1 @ e11 @ ( op1 @ e12 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e11 @ e12 ) @ e13 ) @ ( op1 @ e11 @ ( op1 @ e12 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e11 @ e13 ) @ e10 ) @ ( op1 @ e11 @ ( op1 @ e13 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e11 @ e13 ) @ e11 ) @ ( op1 @ e11 @ ( op1 @ e13 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e11 @ e13 ) @ e12 ) @ ( op1 @ e11 @ ( op1 @ e13 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e11 @ e13 ) @ e13 ) @ ( op1 @ e11 @ ( op1 @ e13 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e12 @ e10 ) @ e10 ) @ ( op1 @ e12 @ ( op1 @ e10 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e12 @ e10 ) @ e11 ) @ ( op1 @ e12 @ ( op1 @ e10 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e12 @ e10 ) @ e12 ) @ ( op1 @ e12 @ ( op1 @ e10 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e12 @ e10 ) @ e13 ) @ ( op1 @ e12 @ ( op1 @ e10 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e12 @ e11 ) @ e10 ) @ ( op1 @ e12 @ ( op1 @ e11 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e12 @ e11 ) @ e11 ) @ ( op1 @ e12 @ ( op1 @ e11 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e12 @ e11 ) @ e12 ) @ ( op1 @ e12 @ ( op1 @ e11 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e12 @ e11 ) @ e13 ) @ ( op1 @ e12 @ ( op1 @ e11 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e12 @ e12 ) @ e10 ) @ ( op1 @ e12 @ ( op1 @ e12 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e12 @ e12 ) @ e11 ) @ ( op1 @ e12 @ ( op1 @ e12 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e12 @ e12 ) @ e12 ) @ ( op1 @ e12 @ ( op1 @ e12 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e12 @ e12 ) @ e13 ) @ ( op1 @ e12 @ ( op1 @ e12 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e12 @ e13 ) @ e10 ) @ ( op1 @ e12 @ ( op1 @ e13 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e12 @ e13 ) @ e11 ) @ ( op1 @ e12 @ ( op1 @ e13 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e12 @ e13 ) @ e12 ) @ ( op1 @ e12 @ ( op1 @ e13 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e12 @ e13 ) @ e13 ) @ ( op1 @ e12 @ ( op1 @ e13 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e13 @ e10 ) @ e10 ) @ ( op1 @ e13 @ ( op1 @ e10 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e13 @ e10 ) @ e11 ) @ ( op1 @ e13 @ ( op1 @ e10 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e13 @ e10 ) @ e12 ) @ ( op1 @ e13 @ ( op1 @ e10 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e13 @ e10 ) @ e13 ) @ ( op1 @ e13 @ ( op1 @ e10 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e13 @ e11 ) @ e10 ) @ ( op1 @ e13 @ ( op1 @ e11 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e13 @ e11 ) @ e11 ) @ ( op1 @ e13 @ ( op1 @ e11 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e13 @ e11 ) @ e12 ) @ ( op1 @ e13 @ ( op1 @ e11 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e13 @ e11 ) @ e13 ) @ ( op1 @ e13 @ ( op1 @ e11 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e13 @ e12 ) @ e10 ) @ ( op1 @ e13 @ ( op1 @ e12 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e13 @ e12 ) @ e11 ) @ ( op1 @ e13 @ ( op1 @ e12 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e13 @ e12 ) @ e12 ) @ ( op1 @ e13 @ ( op1 @ e12 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e13 @ e12 ) @ e13 ) @ ( op1 @ e13 @ ( op1 @ e12 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e13 @ e13 ) @ e10 ) @ ( op1 @ e13 @ ( op1 @ e13 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e13 @ e13 ) @ e11 ) @ ( op1 @ e13 @ ( op1 @ e13 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e13 @ e13 ) @ e12 ) @ ( op1 @ e13 @ ( op1 @ e13 @ e12 ) ) ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( op1 @ e13 @ e13 ) @ e13 ) @ ( op1 @ e13 @ ( op1 @ e13 @ e13 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax3,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ unit1 @ e10 ) @ e10 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ unit1 ) @ e10 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ unit1 @ e11 ) @ e11 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ unit1 ) @ e11 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ unit1 @ e12 ) @ e12 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ unit1 ) @ e12 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ unit1 @ e13 ) @ e13 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ unit1 ) @ e13 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ unit1 @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ unit1 @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ unit1 @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ unit1 @ e13 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax4,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ ( inv1 @ e10 ) ) @ unit1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( inv1 @ e10 ) @ e10 ) @ unit1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ ( inv1 @ e11 ) ) @ unit1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( inv1 @ e11 ) @ e11 ) @ unit1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ ( inv1 @ e12 ) ) @ unit1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( inv1 @ e12 ) @ e12 ) @ unit1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ ( inv1 @ e13 ) ) @ unit1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ ( inv1 @ e13 ) @ e13 ) @ unit1 ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e10 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e10 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e10 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e10 ) @ e13 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e11 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e11 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e11 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e11 ) @ e13 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e12 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e12 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e12 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e12 ) @ e13 ) ) ) ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e13 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e13 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e13 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e13 ) @ e13 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax5,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e20 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e20 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e20 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e20 ) @ e23 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e21 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e21 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e21 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e21 ) @ e23 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e22 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e22 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e22 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e22 ) @ e23 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e23 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e23 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e23 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e23 ) @ e23 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e20 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e20 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e20 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e20 ) @ e23 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e21 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e21 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e21 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e21 ) @ e23 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e22 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e22 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e22 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e22 ) @ e23 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e23 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e23 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e23 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e23 ) @ e23 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e20 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e20 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e20 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e20 ) @ e23 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e21 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e21 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e21 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e21 ) @ e23 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e22 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e22 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e22 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e22 ) @ e23 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e23 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e23 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e23 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e23 ) @ e23 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e20 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e20 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e20 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e20 ) @ e23 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e21 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e21 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e21 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e21 ) @ e23 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e22 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e22 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e22 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e22 ) @ e23 ) ) ) ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e23 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e23 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e23 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e23 ) @ e23 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax6,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e20 @ e20 ) @ e20 ) @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e20 @ e20 ) @ e21 ) @ ( op2 @ e20 @ ( op2 @ e20 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e20 @ e20 ) @ e22 ) @ ( op2 @ e20 @ ( op2 @ e20 @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e20 @ e20 ) @ e23 ) @ ( op2 @ e20 @ ( op2 @ e20 @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e20 @ e21 ) @ e20 ) @ ( op2 @ e20 @ ( op2 @ e21 @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e20 @ e21 ) @ e21 ) @ ( op2 @ e20 @ ( op2 @ e21 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e20 @ e21 ) @ e22 ) @ ( op2 @ e20 @ ( op2 @ e21 @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e20 @ e21 ) @ e23 ) @ ( op2 @ e20 @ ( op2 @ e21 @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e20 @ e22 ) @ e20 ) @ ( op2 @ e20 @ ( op2 @ e22 @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e20 @ e22 ) @ e21 ) @ ( op2 @ e20 @ ( op2 @ e22 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e20 @ e22 ) @ e22 ) @ ( op2 @ e20 @ ( op2 @ e22 @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e20 @ e22 ) @ e23 ) @ ( op2 @ e20 @ ( op2 @ e22 @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e20 @ e23 ) @ e20 ) @ ( op2 @ e20 @ ( op2 @ e23 @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e20 @ e23 ) @ e21 ) @ ( op2 @ e20 @ ( op2 @ e23 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e20 @ e23 ) @ e22 ) @ ( op2 @ e20 @ ( op2 @ e23 @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e20 @ e23 ) @ e23 ) @ ( op2 @ e20 @ ( op2 @ e23 @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e21 @ e20 ) @ e20 ) @ ( op2 @ e21 @ ( op2 @ e20 @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e21 @ e20 ) @ e21 ) @ ( op2 @ e21 @ ( op2 @ e20 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e21 @ e20 ) @ e22 ) @ ( op2 @ e21 @ ( op2 @ e20 @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e21 @ e20 ) @ e23 ) @ ( op2 @ e21 @ ( op2 @ e20 @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e21 @ e21 ) @ e20 ) @ ( op2 @ e21 @ ( op2 @ e21 @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e21 @ e21 ) @ e21 ) @ ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e21 @ e21 ) @ e22 ) @ ( op2 @ e21 @ ( op2 @ e21 @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e21 @ e21 ) @ e23 ) @ ( op2 @ e21 @ ( op2 @ e21 @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e21 @ e22 ) @ e20 ) @ ( op2 @ e21 @ ( op2 @ e22 @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e21 @ e22 ) @ e21 ) @ ( op2 @ e21 @ ( op2 @ e22 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e21 @ e22 ) @ e22 ) @ ( op2 @ e21 @ ( op2 @ e22 @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e21 @ e22 ) @ e23 ) @ ( op2 @ e21 @ ( op2 @ e22 @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e21 @ e23 ) @ e20 ) @ ( op2 @ e21 @ ( op2 @ e23 @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e21 @ e23 ) @ e21 ) @ ( op2 @ e21 @ ( op2 @ e23 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e21 @ e23 ) @ e22 ) @ ( op2 @ e21 @ ( op2 @ e23 @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e21 @ e23 ) @ e23 ) @ ( op2 @ e21 @ ( op2 @ e23 @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e22 @ e20 ) @ e20 ) @ ( op2 @ e22 @ ( op2 @ e20 @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e22 @ e20 ) @ e21 ) @ ( op2 @ e22 @ ( op2 @ e20 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e22 @ e20 ) @ e22 ) @ ( op2 @ e22 @ ( op2 @ e20 @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e22 @ e20 ) @ e23 ) @ ( op2 @ e22 @ ( op2 @ e20 @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e22 @ e21 ) @ e20 ) @ ( op2 @ e22 @ ( op2 @ e21 @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e22 @ e21 ) @ e21 ) @ ( op2 @ e22 @ ( op2 @ e21 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e22 @ e21 ) @ e22 ) @ ( op2 @ e22 @ ( op2 @ e21 @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e22 @ e21 ) @ e23 ) @ ( op2 @ e22 @ ( op2 @ e21 @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e22 @ e22 ) @ e20 ) @ ( op2 @ e22 @ ( op2 @ e22 @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e22 @ e22 ) @ e21 ) @ ( op2 @ e22 @ ( op2 @ e22 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e22 @ e22 ) @ e22 ) @ ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e22 @ e22 ) @ e23 ) @ ( op2 @ e22 @ ( op2 @ e22 @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e22 @ e23 ) @ e20 ) @ ( op2 @ e22 @ ( op2 @ e23 @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e22 @ e23 ) @ e21 ) @ ( op2 @ e22 @ ( op2 @ e23 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e22 @ e23 ) @ e22 ) @ ( op2 @ e22 @ ( op2 @ e23 @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e22 @ e23 ) @ e23 ) @ ( op2 @ e22 @ ( op2 @ e23 @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e23 @ e20 ) @ e20 ) @ ( op2 @ e23 @ ( op2 @ e20 @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e23 @ e20 ) @ e21 ) @ ( op2 @ e23 @ ( op2 @ e20 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e23 @ e20 ) @ e22 ) @ ( op2 @ e23 @ ( op2 @ e20 @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e23 @ e20 ) @ e23 ) @ ( op2 @ e23 @ ( op2 @ e20 @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e23 @ e21 ) @ e20 ) @ ( op2 @ e23 @ ( op2 @ e21 @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e23 @ e21 ) @ e21 ) @ ( op2 @ e23 @ ( op2 @ e21 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e23 @ e21 ) @ e22 ) @ ( op2 @ e23 @ ( op2 @ e21 @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e23 @ e21 ) @ e23 ) @ ( op2 @ e23 @ ( op2 @ e21 @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e23 @ e22 ) @ e20 ) @ ( op2 @ e23 @ ( op2 @ e22 @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e23 @ e22 ) @ e21 ) @ ( op2 @ e23 @ ( op2 @ e22 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e23 @ e22 ) @ e22 ) @ ( op2 @ e23 @ ( op2 @ e22 @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e23 @ e22 ) @ e23 ) @ ( op2 @ e23 @ ( op2 @ e22 @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e23 @ e23 ) @ e20 ) @ ( op2 @ e23 @ ( op2 @ e23 @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e23 @ e23 ) @ e21 ) @ ( op2 @ e23 @ ( op2 @ e23 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e23 @ e23 ) @ e22 ) @ ( op2 @ e23 @ ( op2 @ e23 @ e22 ) ) ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( op2 @ e23 @ e23 ) @ e23 ) @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax7,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ unit2 @ e20 ) @ e20 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ unit2 ) @ e20 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ unit2 @ e21 ) @ e21 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ unit2 ) @ e21 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ unit2 @ e22 ) @ e22 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ unit2 ) @ e22 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ unit2 @ e23 ) @ e23 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ unit2 ) @ e23 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ unit2 @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ unit2 @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ unit2 @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ unit2 @ e23 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax8,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ ( inv2 @ e20 ) ) @ unit2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( inv2 @ e20 ) @ e20 ) @ unit2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ ( inv2 @ e21 ) ) @ unit2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( inv2 @ e21 ) @ e21 ) @ unit2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ ( inv2 @ e22 ) ) @ unit2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( inv2 @ e22 ) @ e22 ) @ unit2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ ( inv2 @ e23 ) ) @ unit2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ ( inv2 @ e23 ) @ e23 ) @ unit2 ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e20 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e20 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e20 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e20 ) @ e23 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e21 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e21 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e21 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e21 ) @ e23 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e22 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e22 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e22 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e22 ) @ e23 ) ) ) ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e23 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e23 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e23 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e23 ) @ e23 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax9,axiom,
% 0.25/0.59 mvalid @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ unit1 ) @ unit1 ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax10,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ ( inv1 @ e10 ) ) @ e10 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ ( inv1 @ e11 ) ) @ e11 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ ( inv1 @ e12 ) ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ ( inv1 @ e13 ) ) @ e13 ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax11,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e10 ) @ e10 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e10 ) @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e10 ) @ e11 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e11 ) @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e10 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e12 ) @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e10 ) @ e13 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e13 ) @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e11 ) @ e10 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e10 ) @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e11 ) @ e11 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e11 ) @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e11 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e12 ) @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e11 ) @ e13 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e13 ) @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e12 ) @ e10 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e10 ) @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e12 ) @ e11 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e11 ) @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e12 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e12 ) @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e12 ) @ e13 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e13 ) @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e13 ) @ e10 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e10 ) @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e13 ) @ e11 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e11 ) @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e13 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e12 ) @ e13 ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e13 ) @ e13 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e13 ) @ e13 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax12,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e10 ) @ ( inv1 @ e11 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e10 ) @ ( inv1 @ e12 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e10 ) @ ( inv1 @ e13 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e11 ) @ ( inv1 @ e12 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e11 ) @ ( inv1 @ e13 ) ) ) ) ) @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( inv1 @ e12 ) @ ( inv1 @ e13 ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax13,axiom,
% 0.25/0.59 mvalid @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ unit2 ) @ unit2 ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax14,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ ( inv2 @ e20 ) ) @ e20 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ ( inv2 @ e21 ) ) @ e21 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ ( inv2 @ e22 ) ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ ( inv2 @ e23 ) ) @ e23 ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax15,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e20 ) @ e20 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e20 ) @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e20 ) @ e21 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e21 ) @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e20 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e22 ) @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e20 ) @ e23 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e23 ) @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e21 ) @ e20 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e20 ) @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e21 ) @ e21 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e21 ) @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e21 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e22 ) @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e21 ) @ e23 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e23 ) @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e22 ) @ e20 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e20 ) @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e22 ) @ e21 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e21 ) @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e22 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e22 ) @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e22 ) @ e23 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e23 ) @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e23 ) @ e20 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e20 ) @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e23 ) @ e21 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e21 ) @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e23 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e22 ) @ e23 ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e23 ) @ e23 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e23 ) @ e23 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax16,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e20 ) @ ( inv2 @ e21 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e20 ) @ ( inv2 @ e22 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e20 ) @ ( inv2 @ e23 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e21 ) @ ( inv2 @ e22 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e21 ) @ ( inv2 @ e23 ) ) ) ) ) @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( inv2 @ e22 ) @ ( inv2 @ e23 ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax17,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e10 ) @ ( op1 @ e11 @ e10 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e10 ) @ ( op1 @ e12 @ e10 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e10 ) @ ( op1 @ e13 @ e10 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e10 ) @ ( op1 @ e12 @ e10 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e10 ) @ ( op1 @ e13 @ e10 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e10 ) @ ( op1 @ e13 @ e10 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e11 ) @ ( op1 @ e11 @ e11 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e11 ) @ ( op1 @ e12 @ e11 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e11 ) @ ( op1 @ e13 @ e11 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e11 ) @ ( op1 @ e12 @ e11 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e11 ) @ ( op1 @ e13 @ e11 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e11 ) @ ( op1 @ e13 @ e11 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e12 ) @ ( op1 @ e11 @ e12 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e12 ) @ ( op1 @ e12 @ e12 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e12 ) @ ( op1 @ e13 @ e12 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e12 ) @ ( op1 @ e12 @ e12 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e12 ) @ ( op1 @ e13 @ e12 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e12 ) @ ( op1 @ e13 @ e12 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e13 ) @ ( op1 @ e11 @ e13 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e13 ) @ ( op1 @ e12 @ e13 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e13 ) @ ( op1 @ e13 @ e13 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e13 ) @ ( op1 @ e12 @ e13 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e13 ) @ ( op1 @ e13 @ e13 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e13 ) @ ( op1 @ e13 @ e13 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e11 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e12 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e10 ) @ ( op1 @ e10 @ e13 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e12 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e11 ) @ ( op1 @ e10 @ e13 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e12 ) @ ( op1 @ e10 @ e13 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e10 ) @ ( op1 @ e11 @ e11 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e10 ) @ ( op1 @ e11 @ e12 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e10 ) @ ( op1 @ e11 @ e13 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e12 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e11 ) @ ( op1 @ e11 @ e13 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e12 ) @ ( op1 @ e11 @ e13 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e11 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e12 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e10 ) @ ( op1 @ e12 @ e13 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e12 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e11 ) @ ( op1 @ e12 @ e13 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e12 ) @ ( op1 @ e12 @ e13 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e11 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e12 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e10 ) @ ( op1 @ e13 @ e13 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e11 ) @ ( op1 @ e13 @ e12 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e11 ) @ ( op1 @ e13 @ e13 ) ) ) ) ) @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e12 ) @ ( op1 @ e13 @ e13 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax18,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e20 ) @ ( op2 @ e21 @ e20 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e20 ) @ ( op2 @ e22 @ e20 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e20 ) @ ( op2 @ e23 @ e20 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e20 ) @ ( op2 @ e22 @ e20 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e20 ) @ ( op2 @ e23 @ e20 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e20 ) @ ( op2 @ e23 @ e20 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e21 ) @ ( op2 @ e21 @ e21 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e21 ) @ ( op2 @ e22 @ e21 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e21 ) @ ( op2 @ e23 @ e21 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e21 ) @ ( op2 @ e22 @ e21 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e21 ) @ ( op2 @ e23 @ e21 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e21 ) @ ( op2 @ e23 @ e21 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e22 ) @ ( op2 @ e21 @ e22 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e22 ) @ ( op2 @ e22 @ e22 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e22 ) @ ( op2 @ e23 @ e22 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e22 ) @ ( op2 @ e22 @ e22 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e22 ) @ ( op2 @ e23 @ e22 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e22 ) @ ( op2 @ e23 @ e22 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e23 ) @ ( op2 @ e21 @ e23 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e23 ) @ ( op2 @ e22 @ e23 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e23 ) @ ( op2 @ e22 @ e23 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e23 ) @ ( op2 @ e23 @ e23 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e21 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e22 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e20 ) @ ( op2 @ e20 @ e23 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e21 ) @ ( op2 @ e20 @ e22 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e21 ) @ ( op2 @ e20 @ e23 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e22 ) @ ( op2 @ e20 @ e23 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e21 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e22 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e20 ) @ ( op2 @ e21 @ e23 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e22 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e21 ) @ ( op2 @ e21 @ e23 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e22 ) @ ( op2 @ e21 @ e23 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e21 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e22 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e20 ) @ ( op2 @ e22 @ e23 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e21 ) @ ( op2 @ e22 @ e22 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e21 ) @ ( op2 @ e22 @ e23 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e22 ) @ ( op2 @ e22 @ e23 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e21 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e22 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e20 ) @ ( op2 @ e23 @ e23 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e22 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e21 ) @ ( op2 @ e23 @ e23 ) ) ) ) ) @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e22 ) @ ( op2 @ e23 @ e23 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax19,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e10 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e10 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e10 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e11 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e11 @ e13 ) ) ) ) @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e12 @ e13 ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax20,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e20 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e20 @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e20 @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e21 @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e21 @ e23 ) ) ) ) @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e22 @ e23 ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax21,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e10 @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e10 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e10 @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e10 @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e11 @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e11 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e11 @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e11 @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e12 @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e12 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e12 @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e12 @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e13 @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e13 @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e13 @ e22 ) ) ) ) @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ ( qmltpeq @ e13 @ e23 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax22,axiom,
% 0.25/0.59 mvalid @ ( mbox_s4 @ ( mnot @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e10 ) @ e10 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e11 ) @ e10 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e12 ) @ e10 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e13 ) @ e10 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e10 ) @ e11 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e11 ) @ e11 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e12 ) @ e11 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e13 ) @ e11 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e10 ) @ e12 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e11 ) @ e12 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e12 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e13 ) @ e12 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e10 ) @ e13 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e11 ) @ e13 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e12 ) @ e13 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e13 ) @ e13 ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax23,axiom,
% 0.25/0.59 mvalid @ ( mbox_s4 @ ( mnot @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e20 ) @ e20 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e21 ) @ e20 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e22 ) @ e20 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e23 ) @ e20 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e20 ) @ e21 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e21 ) @ e21 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e22 ) @ e21 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e23 ) @ e21 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e20 ) @ e22 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e21 ) @ e22 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e22 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e23 ) @ e22 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e20 ) @ e23 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e21 ) @ e23 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e22 ) @ e23 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e23 ) @ e23 ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax24,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( qmltpeq @ e10 @ ( op1 @ ( op1 @ e12 @ ( op1 @ e12 @ e12 ) ) @ e12 ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ e11 @ ( op1 @ e12 @ ( op1 @ e12 @ e12 ) ) ) ) @ ( mbox_s4 @ ( qmltpeq @ e13 @ ( op1 @ e12 @ e12 ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax25,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( qmltpeq @ e20 @ ( op2 @ ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) @ e22 ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ e21 @ ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ) ) @ ( mbox_s4 @ ( qmltpeq @ e23 @ ( op2 @ e22 @ e22 ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax26,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ e12 ) @ e20 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ e10 ) @ ( op2 @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) @ e20 ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ e11 ) @ ( op2 @ e20 @ ( op2 @ e20 @ e20 ) ) ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ e13 ) @ ( op2 @ e20 @ e20 ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax27,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ e12 ) @ e21 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ e10 ) @ ( op2 @ ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) @ e21 ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ e11 ) @ ( op2 @ e21 @ ( op2 @ e21 @ e21 ) ) ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ e13 ) @ ( op2 @ e21 @ e21 ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax28,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ e12 ) @ e22 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ e10 ) @ ( op2 @ ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) @ e22 ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ e11 ) @ ( op2 @ e22 @ ( op2 @ e22 @ e22 ) ) ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ e13 ) @ ( op2 @ e22 @ e22 ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(ax29,axiom,
% 0.25/0.59 mvalid @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ e12 ) @ e23 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ e10 ) @ ( op2 @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) @ e23 ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ e11 ) @ ( op2 @ e23 @ ( op2 @ e23 @ e23 ) ) ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ e13 ) @ ( op2 @ e23 @ e23 ) ) ) ) ) ) ).
% 0.25/0.59
% 0.25/0.59 thf(co1,conjecture,
% 0.25/0.59 mvalid @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ ( op1 @ e10 @ e10 ) ) @ ( op2 @ ( h1 @ e10 ) @ ( h1 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ ( op1 @ e10 @ e11 ) ) @ ( op2 @ ( h1 @ e10 ) @ ( h1 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ ( op1 @ e10 @ e12 ) ) @ ( op2 @ ( h1 @ e10 ) @ ( h1 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ ( op1 @ e10 @ e13 ) ) @ ( op2 @ ( h1 @ e10 ) @ ( h1 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ ( op1 @ e11 @ e10 ) ) @ ( op2 @ ( h1 @ e11 ) @ ( h1 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ ( op1 @ e11 @ e11 ) ) @ ( op2 @ ( h1 @ e11 ) @ ( h1 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ ( op1 @ e11 @ e12 ) ) @ ( op2 @ ( h1 @ e11 ) @ ( h1 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ ( op1 @ e11 @ e13 ) ) @ ( op2 @ ( h1 @ e11 ) @ ( h1 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ ( op1 @ e12 @ e10 ) ) @ ( op2 @ ( h1 @ e12 ) @ ( h1 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ ( op1 @ e12 @ e11 ) ) @ ( op2 @ ( h1 @ e12 ) @ ( h1 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ ( op1 @ e12 @ e12 ) ) @ ( op2 @ ( h1 @ e12 ) @ ( h1 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ ( op1 @ e12 @ e13 ) ) @ ( op2 @ ( h1 @ e12 ) @ ( h1 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ ( op1 @ e13 @ e10 ) ) @ ( op2 @ ( h1 @ e13 ) @ ( h1 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ ( op1 @ e13 @ e11 ) ) @ ( op2 @ ( h1 @ e13 ) @ ( h1 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ ( op1 @ e13 @ e12 ) ) @ ( op2 @ ( h1 @ e13 ) @ ( h1 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ ( op1 @ e13 @ e13 ) ) @ ( op2 @ ( h1 @ e13 ) @ ( h1 @ e13 ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ e10 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ e11 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ e12 ) @ e20 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ e13 ) @ e20 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ e10 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ e11 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ e12 ) @ e21 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ e13 ) @ e21 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ e10 ) @ e22 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ e11 ) @ e22 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ e12 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ e13 ) @ e22 ) ) ) ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ e10 ) @ e23 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ e11 ) @ e23 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ e12 ) @ e23 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h1 @ e13 ) @ e23 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ ( op1 @ e10 @ e10 ) ) @ ( op2 @ ( h2 @ e10 ) @ ( h2 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ ( op1 @ e10 @ e11 ) ) @ ( op2 @ ( h2 @ e10 ) @ ( h2 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ ( op1 @ e10 @ e12 ) ) @ ( op2 @ ( h2 @ e10 ) @ ( h2 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ ( op1 @ e10 @ e13 ) ) @ ( op2 @ ( h2 @ e10 ) @ ( h2 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ ( op1 @ e11 @ e10 ) ) @ ( op2 @ ( h2 @ e11 ) @ ( h2 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ ( op1 @ e11 @ e11 ) ) @ ( op2 @ ( h2 @ e11 ) @ ( h2 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ ( op1 @ e11 @ e12 ) ) @ ( op2 @ ( h2 @ e11 ) @ ( h2 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ ( op1 @ e11 @ e13 ) ) @ ( op2 @ ( h2 @ e11 ) @ ( h2 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ ( op1 @ e12 @ e10 ) ) @ ( op2 @ ( h2 @ e12 ) @ ( h2 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ ( op1 @ e12 @ e11 ) ) @ ( op2 @ ( h2 @ e12 ) @ ( h2 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ ( op1 @ e12 @ e12 ) ) @ ( op2 @ ( h2 @ e12 ) @ ( h2 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ ( op1 @ e12 @ e13 ) ) @ ( op2 @ ( h2 @ e12 ) @ ( h2 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ ( op1 @ e13 @ e10 ) ) @ ( op2 @ ( h2 @ e13 ) @ ( h2 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ ( op1 @ e13 @ e11 ) ) @ ( op2 @ ( h2 @ e13 ) @ ( h2 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ ( op1 @ e13 @ e12 ) ) @ ( op2 @ ( h2 @ e13 ) @ ( h2 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ ( op1 @ e13 @ e13 ) ) @ ( op2 @ ( h2 @ e13 ) @ ( h2 @ e13 ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ e10 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ e11 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ e12 ) @ e20 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ e13 ) @ e20 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ e10 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ e11 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ e12 ) @ e21 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ e13 ) @ e21 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ e10 ) @ e22 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ e11 ) @ e22 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ e12 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ e13 ) @ e22 ) ) ) ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ e10 ) @ e23 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ e11 ) @ e23 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ e12 ) @ e23 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h2 @ e13 ) @ e23 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ ( op1 @ e10 @ e10 ) ) @ ( op2 @ ( h3 @ e10 ) @ ( h3 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ ( op1 @ e10 @ e11 ) ) @ ( op2 @ ( h3 @ e10 ) @ ( h3 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ ( op1 @ e10 @ e12 ) ) @ ( op2 @ ( h3 @ e10 ) @ ( h3 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ ( op1 @ e10 @ e13 ) ) @ ( op2 @ ( h3 @ e10 ) @ ( h3 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ ( op1 @ e11 @ e10 ) ) @ ( op2 @ ( h3 @ e11 ) @ ( h3 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ ( op1 @ e11 @ e11 ) ) @ ( op2 @ ( h3 @ e11 ) @ ( h3 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ ( op1 @ e11 @ e12 ) ) @ ( op2 @ ( h3 @ e11 ) @ ( h3 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ ( op1 @ e11 @ e13 ) ) @ ( op2 @ ( h3 @ e11 ) @ ( h3 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ ( op1 @ e12 @ e10 ) ) @ ( op2 @ ( h3 @ e12 ) @ ( h3 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ ( op1 @ e12 @ e11 ) ) @ ( op2 @ ( h3 @ e12 ) @ ( h3 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ ( op1 @ e12 @ e12 ) ) @ ( op2 @ ( h3 @ e12 ) @ ( h3 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ ( op1 @ e12 @ e13 ) ) @ ( op2 @ ( h3 @ e12 ) @ ( h3 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ ( op1 @ e13 @ e10 ) ) @ ( op2 @ ( h3 @ e13 ) @ ( h3 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ ( op1 @ e13 @ e11 ) ) @ ( op2 @ ( h3 @ e13 ) @ ( h3 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ ( op1 @ e13 @ e12 ) ) @ ( op2 @ ( h3 @ e13 ) @ ( h3 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ ( op1 @ e13 @ e13 ) ) @ ( op2 @ ( h3 @ e13 ) @ ( h3 @ e13 ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ e10 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ e11 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ e12 ) @ e20 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ e13 ) @ e20 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ e10 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ e11 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ e12 ) @ e21 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ e13 ) @ e21 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ e10 ) @ e22 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ e11 ) @ e22 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ e12 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ e13 ) @ e22 ) ) ) ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ e10 ) @ e23 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ e11 ) @ e23 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ e12 ) @ e23 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h3 @ e13 ) @ e23 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ ( op1 @ e10 @ e10 ) ) @ ( op2 @ ( h4 @ e10 ) @ ( h4 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ ( op1 @ e10 @ e11 ) ) @ ( op2 @ ( h4 @ e10 ) @ ( h4 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ ( op1 @ e10 @ e12 ) ) @ ( op2 @ ( h4 @ e10 ) @ ( h4 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ ( op1 @ e10 @ e13 ) ) @ ( op2 @ ( h4 @ e10 ) @ ( h4 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ ( op1 @ e11 @ e10 ) ) @ ( op2 @ ( h4 @ e11 ) @ ( h4 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ ( op1 @ e11 @ e11 ) ) @ ( op2 @ ( h4 @ e11 ) @ ( h4 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ ( op1 @ e11 @ e12 ) ) @ ( op2 @ ( h4 @ e11 ) @ ( h4 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ ( op1 @ e11 @ e13 ) ) @ ( op2 @ ( h4 @ e11 ) @ ( h4 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ ( op1 @ e12 @ e10 ) ) @ ( op2 @ ( h4 @ e12 ) @ ( h4 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ ( op1 @ e12 @ e11 ) ) @ ( op2 @ ( h4 @ e12 ) @ ( h4 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ ( op1 @ e12 @ e12 ) ) @ ( op2 @ ( h4 @ e12 ) @ ( h4 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ ( op1 @ e12 @ e13 ) ) @ ( op2 @ ( h4 @ e12 ) @ ( h4 @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ ( op1 @ e13 @ e10 ) ) @ ( op2 @ ( h4 @ e13 ) @ ( h4 @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ ( op1 @ e13 @ e11 ) ) @ ( op2 @ ( h4 @ e13 ) @ ( h4 @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ ( op1 @ e13 @ e12 ) ) @ ( op2 @ ( h4 @ e13 ) @ ( h4 @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ ( op1 @ e13 @ e13 ) ) @ ( op2 @ ( h4 @ e13 ) @ ( h4 @ e13 ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ e10 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ e11 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ e12 ) @ e20 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ e13 ) @ e20 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ e10 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ e11 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ e12 ) @ e21 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ e13 ) @ e21 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ e10 ) @ e22 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ e11 ) @ e22 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ e12 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ e13 ) @ e22 ) ) ) ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ e10 ) @ e23 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ e11 ) @ e23 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ e12 ) @ e23 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h4 @ e13 ) @ e23 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.25/0.68
% 0.25/0.68 %------------------------------------------------------------------------------
% 0.25/0.68 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.dtfI8oNCoe/cvc5---1.0.5_2858.p...
% 0.25/0.68 (declare-sort $$unsorted 0)
% 0.25/0.68 (declare-sort tptp.mu 0)
% 0.25/0.68 (declare-fun tptp.qmltpeq (tptp.mu tptp.mu $$unsorted) Bool)
% 0.25/0.68 (declare-fun tptp.meq_prop ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.25/0.68 (assert (= tptp.meq_prop (lambda ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool)) (W $$unsorted)) (= (@ X W) (@ Y W)))))
% 0.25/0.68 (declare-fun tptp.mnot ((-> $$unsorted Bool) $$unsorted) Bool)
% 0.25/0.68 (assert (= tptp.mnot (lambda ((Phi (-> $$unsorted Bool)) (W $$unsorted)) (not (@ Phi W)))))
% 0.25/0.68 (declare-fun tptp.mor ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.25/0.68 (assert (= tptp.mor (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (W $$unsorted)) (or (@ Phi W) (@ Psi W)))))
% 0.25/0.68 (declare-fun tptp.mbox ((-> $$unsorted $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.25/0.68 (assert (= tptp.mbox (lambda ((R (-> $$unsorted $$unsorted Bool)) (Phi (-> $$unsorted Bool)) (W $$unsorted)) (forall ((V $$unsorted)) (or (not (@ (@ R W) V)) (@ Phi V))))))
% 0.25/0.68 (declare-fun tptp.mforall_prop ((-> (-> $$unsorted Bool) $$unsorted Bool) $$unsorted) Bool)
% 0.25/0.68 (assert (= tptp.mforall_prop (lambda ((Phi (-> (-> $$unsorted Bool) $$unsorted Bool)) (W $$unsorted)) (forall ((P (-> $$unsorted Bool))) (@ (@ Phi P) W)))))
% 0.25/0.68 (declare-fun tptp.mtrue ($$unsorted) Bool)
% 0.25/0.68 (assert (= tptp.mtrue (lambda ((W $$unsorted)) true)))
% 0.25/0.68 (declare-fun tptp.mfalse ($$unsorted) Bool)
% 0.25/0.68 (assert (= tptp.mfalse (@ tptp.mnot tptp.mtrue)))
% 0.25/0.68 (declare-fun tptp.mand ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.25/0.68 (assert (= tptp.mand (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mor (@ tptp.mnot Phi)) (@ tptp.mnot Psi))) __flatten_var_0))))
% 0.25/0.68 (declare-fun tptp.mimplies ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.25/0.68 (assert (= tptp.mimplies (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mor (@ tptp.mnot Phi)) Psi) __flatten_var_0))))
% 0.25/0.68 (declare-fun tptp.mimplied ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.25/0.68 (assert (= tptp.mimplied (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mor (@ tptp.mnot Psi)) Phi) __flatten_var_0))))
% 0.25/0.68 (declare-fun tptp.mequiv ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.25/0.68 (assert (= tptp.mequiv (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mand (@ (@ tptp.mimplies Phi) Psi)) (@ (@ tptp.mimplies Psi) Phi)) __flatten_var_0))))
% 0.25/0.68 (declare-fun tptp.mxor ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.25/0.68 (assert (= tptp.mxor (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mequiv Phi) Psi)) __flatten_var_0))))
% 0.25/0.68 (declare-fun tptp.mdia ((-> $$unsorted $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.25/0.68 (assert (= tptp.mdia (lambda ((R (-> $$unsorted $$unsorted Bool)) (Phi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mbox R) (@ tptp.mnot Phi))) __flatten_var_0))))
% 0.25/0.68 (declare-fun tptp.exists_in_world (tptp.mu $$unsorted) Bool)
% 0.25/0.68 (assert (forall ((V $$unsorted)) (exists ((X tptp.mu)) (@ (@ tptp.exists_in_world X) V))))
% 0.25/0.68 (declare-fun tptp.mforall_ind ((-> tptp.mu $$unsorted Bool) $$unsorted) Bool)
% 0.25/0.68 (assert (= tptp.mforall_ind (lambda ((Phi (-> tptp.mu $$unsorted Bool)) (W $$unsorted)) (forall ((X tptp.mu)) (=> (@ (@ tptp.exists_in_world X) W) (@ (@ Phi X) W))))))
% 0.25/0.68 (declare-fun tptp.mexists_ind ((-> tptp.mu $$unsorted Bool) $$unsorted) Bool)
% 0.25/0.68 (assert (= tptp.mexists_ind (lambda ((Phi (-> tptp.mu $$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))))
% 0.25/0.68 (declare-fun tptp.mexists_prop ((-> (-> $$unsorted Bool) $$unsorted Bool) $$unsorted) Bool)
% 0.25/0.68 (assert (= tptp.mexists_prop (lambda ((Phi (-> (-> $$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))))
% 0.25/0.68 (declare-fun tptp.mreflexive ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.25/0.68 (assert (= tptp.mreflexive (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (@ (@ R S) S)))))
% 0.25/0.68 (declare-fun tptp.msymmetric ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.25/0.68 (assert (= tptp.msymmetric (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted)) (=> (@ (@ R S) T) (@ (@ R T) S))))))
% 0.25/0.68 (declare-fun tptp.mserial ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.25/0.68 (assert (= tptp.mserial (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (exists ((T $$unsorted)) (@ (@ R S) T))))))
% 0.25/0.68 (declare-fun tptp.mtransitive ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.25/0.68 (assert (= tptp.mtransitive (lambda ((R (-> $$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)))))))
% 0.25/0.68 (declare-fun tptp.meuclidean ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.25/0.68 (assert (= tptp.meuclidean (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (@ (@ R T) U)))))))
% 0.25/0.68 (declare-fun tptp.mpartially_functional ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.25/0.68 (assert (= tptp.mpartially_functional (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (= T U)))))))
% 0.25/0.68 (declare-fun tptp.mfunctional ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.25/0.68 (assert (= tptp.mfunctional (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (exists ((T $$unsorted)) (and (@ (@ R S) T) (forall ((U $$unsorted)) (=> (@ (@ R S) U) (= T U)))))))))
% 0.25/0.68 (declare-fun tptp.mweakly_dense ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.25/0.68 (assert (= tptp.mweakly_dense (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (=> (@ (@ R S) T) (exists ((U $$unsorted)) (and (@ (@ R S) U) (@ (@ R U) T))))))))
% 0.25/0.68 (declare-fun tptp.mweakly_connected ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.25/0.68 (assert (= tptp.mweakly_connected (lambda ((R (-> $$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))))))))
% 0.25/0.68 (declare-fun tptp.mweakly_directed ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.25/0.68 (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)))))))))
% 0.25/0.68 (declare-fun tptp.mvalid ((-> $$unsorted Bool)) Bool)
% 0.25/0.68 (assert (= tptp.mvalid (lambda ((Phi (-> $$unsorted Bool))) (forall ((W $$unsorted)) (@ Phi W)))))
% 0.25/0.68 (declare-fun tptp.msatisfiable ((-> $$unsorted Bool)) Bool)
% 0.25/0.68 (assert (= tptp.msatisfiable (lambda ((Phi (-> $$unsorted Bool))) (exists ((W $$unsorted)) (@ Phi W)))))
% 0.25/0.68 (declare-fun tptp.mcountersatisfiable ((-> $$unsorted Bool)) Bool)
% 0.25/0.68 (assert (= tptp.mcountersatisfiable (lambda ((Phi (-> $$unsorted Bool))) (exists ((W $$unsorted)) (not (@ Phi W))))))
% 0.25/0.68 (declare-fun tptp.minvalid ((-> $$unsorted Bool)) Bool)
% 0.25/0.68 (assert (= tptp.minvalid (lambda ((Phi (-> $$unsorted Bool))) (forall ((W $$unsorted)) (not (@ Phi W))))))
% 0.25/0.68 (declare-fun tptp.rel_s4 ($$unsorted $$unsorted) Bool)
% 0.25/0.68 (declare-fun tptp.mbox_s4 ((-> $$unsorted Bool) $$unsorted) Bool)
% 0.25/0.68 (assert (= tptp.mbox_s4 (lambda ((Phi (-> $$unsorted Bool)) (W $$unsorted)) (forall ((V $$unsorted)) (or (not (@ (@ tptp.rel_s4 W) V)) (@ Phi V))))))
% 0.25/0.68 (declare-fun tptp.mdia_s4 ((-> $$unsorted Bool) $$unsorted) Bool)
% 0.25/0.68 (assert (= tptp.mdia_s4 (lambda ((Phi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ tptp.mbox_s4 (@ tptp.mnot Phi))) __flatten_var_0))))
% 0.25/0.68 (assert (@ tptp.mreflexive tptp.rel_s4))
% 0.25/0.68 (assert (@ tptp.mtransitive tptp.rel_s4))
% 0.25/0.68 (assert (forall ((X tptp.mu) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (@ tptp.exists_in_world X))) (=> (and (@ _let_1 V) (@ (@ tptp.rel_s4 V) W)) (@ _let_1 W)))))
% 0.25/0.68 (declare-fun tptp.unit1 () tptp.mu)
% 0.25/0.68 (assert (forall ((V $$unsorted)) (@ (@ tptp.exists_in_world tptp.unit1) V)))
% 0.25/0.68 (declare-fun tptp.inv1 (tptp.mu) tptp.mu)
% 0.25/0.68 (assert (forall ((V $$unsorted) (V1 tptp.mu)) (@ (@ tptp.exists_in_world (@ tptp.inv1 V1)) V)))
% 0.25/0.68 (declare-fun tptp.unit2 () tptp.mu)
% 0.25/0.68 (assert (forall ((V $$unsorted)) (@ (@ tptp.exists_in_world tptp.unit2) V)))
% 0.25/0.68 (declare-fun tptp.inv2 (tptp.mu) tptp.mu)
% 0.25/0.68 (assert (forall ((V $$unsorted) (V1 tptp.mu)) (@ (@ tptp.exists_in_world (@ tptp.inv2 V1)) V)))
% 0.25/0.68 (declare-fun tptp.h4 (tptp.mu) tptp.mu)
% 0.25/0.68 (assert (forall ((V $$unsorted) (V1 tptp.mu)) (@ (@ tptp.exists_in_world (@ tptp.h4 V1)) V)))
% 0.25/0.68 (declare-fun tptp.h3 (tptp.mu) tptp.mu)
% 0.25/0.68 (assert (forall ((V $$unsorted) (V1 tptp.mu)) (@ (@ tptp.exists_in_world (@ tptp.h3 V1)) V)))
% 0.25/0.68 (declare-fun tptp.h2 (tptp.mu) tptp.mu)
% 0.25/0.68 (assert (forall ((V $$unsorted) (V1 tptp.mu)) (@ (@ tptp.exists_in_world (@ tptp.h2 V1)) V)))
% 0.25/0.68 (declare-fun tptp.e23 () tptp.mu)
% 0.25/0.68 (assert (forall ((V $$unsorted)) (@ (@ tptp.exists_in_world tptp.e23) V)))
% 0.25/0.68 (declare-fun tptp.e22 () tptp.mu)
% 0.25/0.68 (assert (forall ((V $$unsorted)) (@ (@ tptp.exists_in_world tptp.e22) V)))
% 0.25/0.68 (declare-fun tptp.e21 () tptp.mu)
% 0.25/0.68 (assert (forall ((V $$unsorted)) (@ (@ tptp.exists_in_world tptp.e21) V)))
% 0.25/0.68 (declare-fun tptp.e20 () tptp.mu)
% 0.25/0.68 (assert (forall ((V $$unsorted)) (@ (@ tptp.exists_in_world tptp.e20) V)))
% 0.25/0.68 (declare-fun tptp.e13 () tptp.mu)
% 0.25/0.68 (assert (forall ((V $$unsorted)) (@ (@ tptp.exists_in_world tptp.e13) V)))
% 0.25/0.68 (declare-fun tptp.e12 () tptp.mu)
% 0.25/0.68 (assert (forall ((V $$unsorted)) (@ (@ tptp.exists_in_world tptp.e12) V)))
% 0.25/0.68 (declare-fun tptp.e11 () tptp.mu)
% 0.25/0.68 (assert (forall ((V $$unsorted)) (@ (@ tptp.exists_in_world tptp.e11) V)))
% 0.25/0.68 (declare-fun tptp.op2 (tptp.mu tptp.mu) tptp.mu)
% 0.25/0.68 (assert (forall ((V $$unsorted) (V2 tptp.mu) (V1 tptp.mu)) (@ (@ tptp.exists_in_world (@ (@ tptp.op2 V2) V1)) V)))
% 0.25/0.68 (declare-fun tptp.e10 () tptp.mu)
% 0.25/0.68 (assert (forall ((V $$unsorted)) (@ (@ tptp.exists_in_world tptp.e10) V)))
% 0.25/0.68 (declare-fun tptp.op1 (tptp.mu tptp.mu) tptp.mu)
% 0.25/0.68 (assert (forall ((V $$unsorted) (V2 tptp.mu) (V1 tptp.mu)) (@ (@ tptp.exists_in_world (@ (@ tptp.op1 V2) V1)) V)))
% 0.25/0.68 (declare-fun tptp.h1 (tptp.mu) tptp.mu)
% 0.25/0.68 (assert (forall ((V $$unsorted) (V1 tptp.mu)) (@ (@ tptp.exists_in_world (@ tptp.h1 V1)) V)))
% 0.25/0.68 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq X) X)) __flatten_var_0))))))
% 0.25/0.68 (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))))))
% 0.25/0.68 (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 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq X))) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_1 Y))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq Y) Z)))) (@ tptp.mbox_s4 (@ _let_1 Z)))) __flatten_var_0))))) __flatten_var_0)))) __flatten_var_0))))))
% 0.25/0.68 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 A)) (@ tptp.h1 B))))) __flatten_var_0)))) __flatten_var_0))))))
% 0.25/0.68 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 A)) (@ tptp.h2 B))))) __flatten_var_0)))) __flatten_var_0))))))
% 0.25/0.68 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 A)) (@ tptp.h3 B))))) __flatten_var_0)))) __flatten_var_0))))))
% 0.25/0.68 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h4 A)) (@ tptp.h4 B))))) __flatten_var_0)))) __flatten_var_0))))))
% 0.25/0.68 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.inv1 A)) (@ tptp.inv1 B))))) __flatten_var_0)))) __flatten_var_0))))))
% 0.25/0.68 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.inv2 A)) (@ tptp.inv2 B))))) __flatten_var_0)))) __flatten_var_0))))))
% 0.25/0.68 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$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.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op1 A) C)) (@ (@ tptp.op1 B) C))))) __flatten_var_0)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.25/0.68 (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 $$unsorted)) (let ((_let_1 (@ tptp.op1 C))) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_1 A)) (@ _let_1 B))))) __flatten_var_0))))) __flatten_var_0)))) __flatten_var_0))))))
% 0.25/0.68 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$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.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op2 A) C)) (@ (@ tptp.op2 B) C))))) __flatten_var_0)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.25/0.68 (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.op2 C))) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_1 A)) (@ _let_1 B))))) __flatten_var_0))))) __flatten_var_0)))) __flatten_var_0))))))
% 0.25/0.68 (assert (let ((_let_1 (@ tptp.op1 tptp.e13))) (let ((_let_2 (@ tptp.qmltpeq (@ _let_1 tptp.e13)))) (let ((_let_3 (@ tptp.qmltpeq (@ _let_1 tptp.e12)))) (let ((_let_4 (@ tptp.qmltpeq (@ _let_1 tptp.e11)))) (let ((_let_5 (@ tptp.qmltpeq (@ _let_1 tptp.e10)))) (let ((_let_6 (@ tptp.op1 tptp.e12))) (let ((_let_7 (@ tptp.qmltpeq (@ _let_6 tptp.e13)))) (let ((_let_8 (@ tptp.qmltpeq (@ _let_6 tptp.e12)))) (let ((_let_9 (@ tptp.qmltpeq (@ _let_6 tptp.e11)))) (let ((_let_10 (@ tptp.qmltpeq (@ _let_6 tptp.e10)))) (let ((_let_11 (@ tptp.op1 tptp.e11))) (let ((_let_12 (@ tptp.qmltpeq (@ _let_11 tptp.e13)))) (let ((_let_13 (@ tptp.qmltpeq (@ _let_11 tptp.e12)))) (let ((_let_14 (@ tptp.qmltpeq (@ _let_11 tptp.e11)))) (let ((_let_15 (@ tptp.qmltpeq (@ _let_11 tptp.e10)))) (let ((_let_16 (@ tptp.op1 tptp.e10))) (let ((_let_17 (@ tptp.qmltpeq (@ _let_16 tptp.e13)))) (let ((_let_18 (@ tptp.qmltpeq (@ _let_16 tptp.e12)))) (let ((_let_19 (@ tptp.qmltpeq (@ _let_16 tptp.e11)))) (let ((_let_20 (@ tptp.qmltpeq (@ _let_16 tptp.e10)))) (@ tptp.mvalid (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_20 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_20 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_20 tptp.e12))) (@ tptp.mbox_s4 (@ _let_20 tptp.e13)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_19 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_19 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_19 tptp.e12))) (@ tptp.mbox_s4 (@ _let_19 tptp.e13)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_18 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_18 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_18 tptp.e12))) (@ tptp.mbox_s4 (@ _let_18 tptp.e13)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_17 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_17 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_17 tptp.e12))) (@ tptp.mbox_s4 (@ _let_17 tptp.e13)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_15 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_15 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_15 tptp.e12))) (@ tptp.mbox_s4 (@ _let_15 tptp.e13)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_14 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_14 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_14 tptp.e12))) (@ tptp.mbox_s4 (@ _let_14 tptp.e13)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_13 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_13 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_13 tptp.e12))) (@ tptp.mbox_s4 (@ _let_13 tptp.e13)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_12 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_12 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_12 tptp.e12))) (@ tptp.mbox_s4 (@ _let_12 tptp.e13)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_10 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_10 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_10 tptp.e12))) (@ tptp.mbox_s4 (@ _let_10 tptp.e13)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_9 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_9 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_9 tptp.e12))) (@ tptp.mbox_s4 (@ _let_9 tptp.e13)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_8 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_8 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_8 tptp.e12))) (@ tptp.mbox_s4 (@ _let_8 tptp.e13)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_7 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_7 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_7 tptp.e12))) (@ tptp.mbox_s4 (@ _let_7 tptp.e13)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_5 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_5 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_5 tptp.e12))) (@ tptp.mbox_s4 (@ _let_5 tptp.e13)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_4 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_4 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_4 tptp.e12))) (@ tptp.mbox_s4 (@ _let_4 tptp.e13)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_3 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_3 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_3 tptp.e12))) (@ tptp.mbox_s4 (@ _let_3 tptp.e13)))))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_2 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_2 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_2 tptp.e12))) (@ tptp.mbox_s4 (@ _let_2 tptp.e13))))))))))))))))))))))))))))))))))))))))))
% 0.25/0.68 (assert (let ((_let_1 (@ tptp.op1 tptp.e13))) (let ((_let_2 (@ _let_1 tptp.e13))) (let ((_let_3 (@ tptp.op1 _let_2))) (let ((_let_4 (@ _let_1 tptp.e12))) (let ((_let_5 (@ _let_1 tptp.e11))) (let ((_let_6 (@ _let_1 tptp.e10))) (let ((_let_7 (@ tptp.op1 tptp.e12))) (let ((_let_8 (@ _let_7 tptp.e13))) (let ((_let_9 (@ tptp.op1 _let_4))) (let ((_let_10 (@ _let_7 tptp.e12))) (let ((_let_11 (@ _let_7 tptp.e11))) (let ((_let_12 (@ _let_7 tptp.e10))) (let ((_let_13 (@ tptp.op1 tptp.e11))) (let ((_let_14 (@ _let_13 tptp.e13))) (let ((_let_15 (@ tptp.op1 _let_5))) (let ((_let_16 (@ _let_13 tptp.e12))) (let ((_let_17 (@ _let_13 tptp.e11))) (let ((_let_18 (@ _let_13 tptp.e10))) (let ((_let_19 (@ tptp.op1 tptp.e10))) (let ((_let_20 (@ _let_19 tptp.e13))) (let ((_let_21 (@ tptp.op1 _let_6))) (let ((_let_22 (@ _let_19 tptp.e12))) (let ((_let_23 (@ _let_19 tptp.e11))) (let ((_let_24 (@ _let_19 tptp.e10))) (let ((_let_25 (@ tptp.op1 _let_8))) (let ((_let_26 (@ tptp.op1 _let_10))) (let ((_let_27 (@ tptp.op1 _let_11))) (let ((_let_28 (@ tptp.op1 _let_12))) (let ((_let_29 (@ tptp.op1 _let_14))) (let ((_let_30 (@ tptp.op1 _let_16))) (let ((_let_31 (@ tptp.op1 _let_17))) (let ((_let_32 (@ tptp.op1 _let_18))) (let ((_let_33 (@ tptp.op1 _let_20))) (let ((_let_34 (@ tptp.op1 _let_22))) (let ((_let_35 (@ tptp.op1 _let_23))) (let ((_let_36 (@ tptp.op1 _let_24))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_36 tptp.e10)) (@ _let_19 _let_24)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_36 tptp.e11)) (@ _let_19 _let_23)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_36 tptp.e12)) (@ _let_19 _let_22)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_36 tptp.e13)) (@ _let_19 _let_20)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_35 tptp.e10)) (@ _let_19 _let_18)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_35 tptp.e11)) (@ _let_19 _let_17)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_35 tptp.e12)) (@ _let_19 _let_16)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_35 tptp.e13)) (@ _let_19 _let_14)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_34 tptp.e10)) (@ _let_19 _let_12)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_34 tptp.e11)) (@ _let_19 _let_11)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_34 tptp.e12)) (@ _let_19 _let_10)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_34 tptp.e13)) (@ _let_19 _let_8)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_33 tptp.e10)) (@ _let_19 _let_6)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_33 tptp.e11)) (@ _let_19 _let_5)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_33 tptp.e12)) (@ _let_19 _let_4)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_33 tptp.e13)) (@ _let_19 _let_2)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_32 tptp.e10)) (@ _let_13 _let_24)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_32 tptp.e11)) (@ _let_13 _let_23)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_32 tptp.e12)) (@ _let_13 _let_22)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_32 tptp.e13)) (@ _let_13 _let_20)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_31 tptp.e10)) (@ _let_13 _let_18)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_31 tptp.e11)) (@ _let_13 _let_17)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_31 tptp.e12)) (@ _let_13 _let_16)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_31 tptp.e13)) (@ _let_13 _let_14)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_30 tptp.e10)) (@ _let_13 _let_12)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_30 tptp.e11)) (@ _let_13 _let_11)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_30 tptp.e12)) (@ _let_13 _let_10)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_30 tptp.e13)) (@ _let_13 _let_8)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_29 tptp.e10)) (@ _let_13 _let_6)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_29 tptp.e11)) (@ _let_13 _let_5)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_29 tptp.e12)) (@ _let_13 _let_4)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_29 tptp.e13)) (@ _let_13 _let_2)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_28 tptp.e10)) (@ _let_7 _let_24)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_28 tptp.e11)) (@ _let_7 _let_23)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_28 tptp.e12)) (@ _let_7 _let_22)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_28 tptp.e13)) (@ _let_7 _let_20)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_27 tptp.e10)) (@ _let_7 _let_18)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_27 tptp.e11)) (@ _let_7 _let_17)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_27 tptp.e12)) (@ _let_7 _let_16)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_27 tptp.e13)) (@ _let_7 _let_14)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_26 tptp.e10)) (@ _let_7 _let_12)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_26 tptp.e11)) (@ _let_7 _let_11)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_26 tptp.e12)) (@ _let_7 _let_10)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_26 tptp.e13)) (@ _let_7 _let_8)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_25 tptp.e10)) (@ _let_7 _let_6)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_25 tptp.e11)) (@ _let_7 _let_5)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_25 tptp.e12)) (@ _let_7 _let_4)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_25 tptp.e13)) (@ _let_7 _let_2)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_21 tptp.e10)) (@ _let_1 _let_24)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_21 tptp.e11)) (@ _let_1 _let_23)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_21 tptp.e12)) (@ _let_1 _let_22)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_21 tptp.e13)) (@ _let_1 _let_20)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_15 tptp.e10)) (@ _let_1 _let_18)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_15 tptp.e11)) (@ _let_1 _let_17)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_15 tptp.e12)) (@ _let_1 _let_16)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_15 tptp.e13)) (@ _let_1 _let_14)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_9 tptp.e10)) (@ _let_1 _let_12)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_9 tptp.e11)) (@ _let_1 _let_11)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_9 tptp.e12)) (@ _let_1 _let_10)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_9 tptp.e13)) (@ _let_1 _let_8)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_3 tptp.e10)) (@ _let_1 _let_6)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_3 tptp.e11)) (@ _let_1 _let_5)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_3 tptp.e12)) (@ _let_1 _let_4)))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_3 tptp.e13)) (@ _let_1 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.25/0.68 (assert (let ((_let_1 (@ tptp.qmltpeq tptp.unit1))) (let ((_let_2 (@ tptp.op1 tptp.unit1))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_2 tptp.e10)) tptp.e10))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op1 tptp.e10) tptp.unit1)) tptp.e10))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_2 tptp.e11)) tptp.e11))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op1 tptp.e11) tptp.unit1)) tptp.e11))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_2 tptp.e12)) tptp.e12))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op1 tptp.e12) tptp.unit1)) tptp.e12))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_2 tptp.e13)) tptp.e13))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op1 tptp.e13) tptp.unit1)) tptp.e13))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_1 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_1 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_1 tptp.e12))) (@ tptp.mbox_s4 (@ _let_1 tptp.e13)))))))))))))))))
% 0.25/0.68 (assert (let ((_let_1 (@ tptp.inv1 tptp.e13))) (let ((_let_2 (@ tptp.qmltpeq _let_1))) (let ((_let_3 (@ tptp.inv1 tptp.e12))) (let ((_let_4 (@ tptp.qmltpeq _let_3))) (let ((_let_5 (@ tptp.inv1 tptp.e11))) (let ((_let_6 (@ tptp.qmltpeq _let_5))) (let ((_let_7 (@ tptp.inv1 tptp.e10))) (let ((_let_8 (@ tptp.qmltpeq _let_7))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op1 tptp.e10) _let_7)) tptp.unit1))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op1 _let_7) tptp.e10)) tptp.unit1))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op1 tptp.e11) _let_5)) tptp.unit1))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op1 _let_5) tptp.e11)) tptp.unit1))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op1 tptp.e12) _let_3)) tptp.unit1))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op1 _let_3) tptp.e12)) tptp.unit1))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op1 tptp.e13) _let_1)) tptp.unit1))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op1 _let_1) tptp.e13)) tptp.unit1))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_8 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_8 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_8 tptp.e12))) (@ tptp.mbox_s4 (@ _let_8 tptp.e13)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_6 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_6 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_6 tptp.e12))) (@ tptp.mbox_s4 (@ _let_6 tptp.e13)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_4 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_4 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_4 tptp.e12))) (@ tptp.mbox_s4 (@ _let_4 tptp.e13)))))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_2 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_2 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_2 tptp.e12))) (@ tptp.mbox_s4 (@ _let_2 tptp.e13))))))))))))))))))))))))))
% 0.25/0.68 (assert (let ((_let_1 (@ tptp.op2 tptp.e23))) (let ((_let_2 (@ tptp.qmltpeq (@ _let_1 tptp.e23)))) (let ((_let_3 (@ tptp.qmltpeq (@ _let_1 tptp.e22)))) (let ((_let_4 (@ tptp.qmltpeq (@ _let_1 tptp.e21)))) (let ((_let_5 (@ tptp.qmltpeq (@ _let_1 tptp.e20)))) (let ((_let_6 (@ tptp.op2 tptp.e22))) (let ((_let_7 (@ tptp.qmltpeq (@ _let_6 tptp.e23)))) (let ((_let_8 (@ tptp.qmltpeq (@ _let_6 tptp.e22)))) (let ((_let_9 (@ tptp.qmltpeq (@ _let_6 tptp.e21)))) (let ((_let_10 (@ tptp.qmltpeq (@ _let_6 tptp.e20)))) (let ((_let_11 (@ tptp.op2 tptp.e21))) (let ((_let_12 (@ tptp.qmltpeq (@ _let_11 tptp.e23)))) (let ((_let_13 (@ tptp.qmltpeq (@ _let_11 tptp.e22)))) (let ((_let_14 (@ tptp.qmltpeq (@ _let_11 tptp.e21)))) (let ((_let_15 (@ tptp.qmltpeq (@ _let_11 tptp.e20)))) (let ((_let_16 (@ tptp.op2 tptp.e20))) (let ((_let_17 (@ tptp.qmltpeq (@ _let_16 tptp.e23)))) (let ((_let_18 (@ tptp.qmltpeq (@ _let_16 tptp.e22)))) (let ((_let_19 (@ tptp.qmltpeq (@ _let_16 tptp.e21)))) (let ((_let_20 (@ tptp.qmltpeq (@ _let_16 tptp.e20)))) (@ tptp.mvalid (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_20 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_20 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_20 tptp.e22))) (@ tptp.mbox_s4 (@ _let_20 tptp.e23)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_19 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_19 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_19 tptp.e22))) (@ tptp.mbox_s4 (@ _let_19 tptp.e23)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_18 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_18 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_18 tptp.e22))) (@ tptp.mbox_s4 (@ _let_18 tptp.e23)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_17 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_17 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_17 tptp.e22))) (@ tptp.mbox_s4 (@ _let_17 tptp.e23)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_15 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_15 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_15 tptp.e22))) (@ tptp.mbox_s4 (@ _let_15 tptp.e23)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_14 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_14 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_14 tptp.e22))) (@ tptp.mbox_s4 (@ _let_14 tptp.e23)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_13 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_13 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_13 tptp.e22))) (@ tptp.mbox_s4 (@ _let_13 tptp.e23)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_12 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_12 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_12 tptp.e22))) (@ tptp.mbox_s4 (@ _let_12 tptp.e23)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_10 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_10 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_10 tptp.e22))) (@ tptp.mbox_s4 (@ _let_10 tptp.e23)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_9 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_9 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_9 tptp.e22))) (@ tptp.mbox_s4 (@ _let_9 tptp.e23)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_8 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_8 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_8 tptp.e22))) (@ tptp.mbox_s4 (@ _let_8 tptp.e23)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_7 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_7 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_7 tptp.e22))) (@ tptp.mbox_s4 (@ _let_7 tptp.e23)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_5 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_5 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_5 tptp.e22))) (@ tptp.mbox_s4 (@ _let_5 tptp.e23)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_4 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_4 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_4 tptp.e22))) (@ tptp.mbox_s4 (@ _let_4 tptp.e23)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_3 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_3 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_3 tptp.e22))) (@ tptp.mbox_s4 (@ _let_3 tptp.e23)))))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_2 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_2 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_2 tptp.e22))) (@ tptp.mbox_s4 (@ _let_2 tptp.e23))))))))))))))))))))))))))))))))))))))))))
% 0.25/0.68 (assert (let ((_let_1 (@ tptp.op2 tptp.e23))) (let ((_let_2 (@ _let_1 tptp.e23))) (let ((_let_3 (@ tptp.op2 _let_2))) (let ((_let_4 (@ _let_1 tptp.e22))) (let ((_let_5 (@ _let_1 tptp.e21))) (let ((_let_6 (@ _let_1 tptp.e20))) (let ((_let_7 (@ tptp.op2 tptp.e22))) (let ((_let_8 (@ _let_7 tptp.e23))) (let ((_let_9 (@ tptp.op2 _let_4))) (let ((_let_10 (@ _let_7 tptp.e22))) (let ((_let_11 (@ _let_7 tptp.e21))) (let ((_let_12 (@ _let_7 tptp.e20))) (let ((_let_13 (@ tptp.op2 tptp.e21))) (let ((_let_14 (@ _let_13 tptp.e23))) (let ((_let_15 (@ tptp.op2 _let_5))) (let ((_let_16 (@ _let_13 tptp.e22))) (let ((_let_17 (@ _let_13 tptp.e21))) (let ((_let_18 (@ _let_13 tptp.e20))) (let ((_let_19 (@ tptp.op2 tptp.e20))) (let ((_let_20 (@ _let_19 tptp.e23))) (let ((_let_21 (@ tptp.op2 _let_6))) (let ((_let_22 (@ _let_19 tptp.e22))) (let ((_let_23 (@ _let_19 tptp.e21))) (let ((_let_24 (@ _let_19 tptp.e20))) (let ((_let_25 (@ tptp.op2 _let_8))) (let ((_let_26 (@ tptp.op2 _let_10))) (let ((_let_27 (@ tptp.op2 _let_11))) (let ((_let_28 (@ tptp.op2 _let_12))) (let ((_let_29 (@ tptp.op2 _let_14))) (let ((_let_30 (@ tptp.op2 _let_16))) (let ((_let_31 (@ tptp.op2 _let_17))) (let ((_let_32 (@ tptp.op2 _let_18))) (let ((_let_33 (@ tptp.op2 _let_20))) (let ((_let_34 (@ tptp.op2 _let_22))) (let ((_let_35 (@ tptp.op2 _let_23))) (let ((_let_36 (@ tptp.op2 _let_24))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_36 tptp.e20)) (@ _let_19 _let_24)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_36 tptp.e21)) (@ _let_19 _let_23)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_36 tptp.e22)) (@ _let_19 _let_22)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_36 tptp.e23)) (@ _let_19 _let_20)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_35 tptp.e20)) (@ _let_19 _let_18)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_35 tptp.e21)) (@ _let_19 _let_17)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_35 tptp.e22)) (@ _let_19 _let_16)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_35 tptp.e23)) (@ _let_19 _let_14)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_34 tptp.e20)) (@ _let_19 _let_12)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_34 tptp.e21)) (@ _let_19 _let_11)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_34 tptp.e22)) (@ _let_19 _let_10)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_34 tptp.e23)) (@ _let_19 _let_8)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_33 tptp.e20)) (@ _let_19 _let_6)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_33 tptp.e21)) (@ _let_19 _let_5)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_33 tptp.e22)) (@ _let_19 _let_4)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_33 tptp.e23)) (@ _let_19 _let_2)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_32 tptp.e20)) (@ _let_13 _let_24)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_32 tptp.e21)) (@ _let_13 _let_23)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_32 tptp.e22)) (@ _let_13 _let_22)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_32 tptp.e23)) (@ _let_13 _let_20)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_31 tptp.e20)) (@ _let_13 _let_18)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_31 tptp.e21)) (@ _let_13 _let_17)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_31 tptp.e22)) (@ _let_13 _let_16)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_31 tptp.e23)) (@ _let_13 _let_14)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_30 tptp.e20)) (@ _let_13 _let_12)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_30 tptp.e21)) (@ _let_13 _let_11)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_30 tptp.e22)) (@ _let_13 _let_10)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_30 tptp.e23)) (@ _let_13 _let_8)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_29 tptp.e20)) (@ _let_13 _let_6)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_29 tptp.e21)) (@ _let_13 _let_5)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_29 tptp.e22)) (@ _let_13 _let_4)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_29 tptp.e23)) (@ _let_13 _let_2)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_28 tptp.e20)) (@ _let_7 _let_24)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_28 tptp.e21)) (@ _let_7 _let_23)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_28 tptp.e22)) (@ _let_7 _let_22)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_28 tptp.e23)) (@ _let_7 _let_20)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_27 tptp.e20)) (@ _let_7 _let_18)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_27 tptp.e21)) (@ _let_7 _let_17)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_27 tptp.e22)) (@ _let_7 _let_16)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_27 tptp.e23)) (@ _let_7 _let_14)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_26 tptp.e20)) (@ _let_7 _let_12)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_26 tptp.e21)) (@ _let_7 _let_11)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_26 tptp.e22)) (@ _let_7 _let_10)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_26 tptp.e23)) (@ _let_7 _let_8)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_25 tptp.e20)) (@ _let_7 _let_6)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_25 tptp.e21)) (@ _let_7 _let_5)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_25 tptp.e22)) (@ _let_7 _let_4)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_25 tptp.e23)) (@ _let_7 _let_2)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_21 tptp.e20)) (@ _let_1 _let_24)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_21 tptp.e21)) (@ _let_1 _let_23)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_21 tptp.e22)) (@ _let_1 _let_22)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_21 tptp.e23)) (@ _let_1 _let_20)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_15 tptp.e20)) (@ _let_1 _let_18)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_15 tptp.e21)) (@ _let_1 _let_17)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_15 tptp.e22)) (@ _let_1 _let_16)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_15 tptp.e23)) (@ _let_1 _let_14)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_9 tptp.e20)) (@ _let_1 _let_12)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_9 tptp.e21)) (@ _let_1 _let_11)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_9 tptp.e22)) (@ _let_1 _let_10)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_9 tptp.e23)) (@ _let_1 _let_8)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_3 tptp.e20)) (@ _let_1 _let_6)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_3 tptp.e21)) (@ _let_1 _let_5)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_3 tptp.e22)) (@ _let_1 _let_4)))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_3 tptp.e23)) (@ _let_1 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.25/0.68 (assert (let ((_let_1 (@ tptp.qmltpeq tptp.unit2))) (let ((_let_2 (@ tptp.op2 tptp.unit2))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_2 tptp.e20)) tptp.e20))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op2 tptp.e20) tptp.unit2)) tptp.e20))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_2 tptp.e21)) tptp.e21))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op2 tptp.e21) tptp.unit2)) tptp.e21))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_2 tptp.e22)) tptp.e22))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op2 tptp.e22) tptp.unit2)) tptp.e22))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_2 tptp.e23)) tptp.e23))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op2 tptp.e23) tptp.unit2)) tptp.e23))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_1 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_1 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_1 tptp.e22))) (@ tptp.mbox_s4 (@ _let_1 tptp.e23)))))))))))))))))
% 0.25/0.68 (assert (let ((_let_1 (@ tptp.inv2 tptp.e23))) (let ((_let_2 (@ tptp.qmltpeq _let_1))) (let ((_let_3 (@ tptp.inv2 tptp.e22))) (let ((_let_4 (@ tptp.qmltpeq _let_3))) (let ((_let_5 (@ tptp.inv2 tptp.e21))) (let ((_let_6 (@ tptp.qmltpeq _let_5))) (let ((_let_7 (@ tptp.inv2 tptp.e20))) (let ((_let_8 (@ tptp.qmltpeq _let_7))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op2 tptp.e20) _let_7)) tptp.unit2))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op2 _let_7) tptp.e20)) tptp.unit2))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op2 tptp.e21) _let_5)) tptp.unit2))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op2 _let_5) tptp.e21)) tptp.unit2))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op2 tptp.e22) _let_3)) tptp.unit2))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op2 _let_3) tptp.e22)) tptp.unit2))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op2 tptp.e23) _let_1)) tptp.unit2))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ (@ tptp.op2 _let_1) tptp.e23)) tptp.unit2))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_8 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_8 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_8 tptp.e22))) (@ tptp.mbox_s4 (@ _let_8 tptp.e23)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_6 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_6 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_6 tptp.e22))) (@ tptp.mbox_s4 (@ _let_6 tptp.e23)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_4 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_4 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_4 tptp.e22))) (@ tptp.mbox_s4 (@ _let_4 tptp.e23)))))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_2 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_2 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_2 tptp.e22))) (@ tptp.mbox_s4 (@ _let_2 tptp.e23))))))))))))))))))))))))))
% 0.25/0.68 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.inv1 tptp.unit1)) tptp.unit1))))
% 0.25/0.68 (assert (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.inv1 (@ tptp.inv1 tptp.e10))) tptp.e10))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.inv1 (@ tptp.inv1 tptp.e11))) tptp.e11))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.inv1 (@ tptp.inv1 tptp.e12))) tptp.e12))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.inv1 (@ tptp.inv1 tptp.e13))) tptp.e13)))))))
% 0.25/0.68 (assert (let ((_let_1 (@ tptp.qmltpeq (@ tptp.inv1 tptp.e13)))) (let ((_let_2 (@ tptp.mbox_s4 (@ _let_1 tptp.e13)))) (let ((_let_3 (@ tptp.qmltpeq (@ tptp.inv1 tptp.e12)))) (let ((_let_4 (@ tptp.mbox_s4 (@ _let_3 tptp.e13)))) (let ((_let_5 (@ tptp.mbox_s4 (@ _let_1 tptp.e12)))) (let ((_let_6 (@ tptp.qmltpeq (@ tptp.inv1 tptp.e11)))) (let ((_let_7 (@ tptp.mbox_s4 (@ _let_6 tptp.e13)))) (let ((_let_8 (@ tptp.mbox_s4 (@ _let_1 tptp.e11)))) (let ((_let_9 (@ tptp.qmltpeq (@ tptp.inv1 tptp.e10)))) (let ((_let_10 (@ tptp.mbox_s4 (@ _let_9 tptp.e13)))) (let ((_let_11 (@ tptp.mbox_s4 (@ _let_1 tptp.e10)))) (let ((_let_12 (@ tptp.mbox_s4 (@ _let_3 tptp.e12)))) (let ((_let_13 (@ tptp.mbox_s4 (@ _let_6 tptp.e12)))) (let ((_let_14 (@ tptp.mbox_s4 (@ _let_3 tptp.e11)))) (let ((_let_15 (@ tptp.mbox_s4 (@ _let_9 tptp.e12)))) (let ((_let_16 (@ tptp.mbox_s4 (@ _let_3 tptp.e10)))) (let ((_let_17 (@ tptp.mbox_s4 (@ _let_6 tptp.e11)))) (let ((_let_18 (@ tptp.mbox_s4 (@ _let_9 tptp.e11)))) (let ((_let_19 (@ tptp.mbox_s4 (@ _let_6 tptp.e10)))) (let ((_let_20 (@ tptp.mbox_s4 (@ _let_9 tptp.e10)))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_20) _let_20))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_18) _let_19))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_15) _let_16))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_10) _let_11))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_19) _let_18))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_17) _let_17))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_13) _let_14))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_7) _let_8))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_16) _let_15))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_14) _let_13))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_12) _let_12))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_4) _let_5))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_11) _let_10))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_8) _let_7))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_5) _let_4))) (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_2) _let_2)))))))))))))))))))))))))))))))))))))))
% 0.25/0.68 (assert (let ((_let_1 (@ tptp.inv1 tptp.e13))) (let ((_let_2 (@ tptp.inv1 tptp.e12))) (let ((_let_3 (@ tptp.inv1 tptp.e11))) (let ((_let_4 (@ tptp.qmltpeq _let_3))) (let ((_let_5 (@ tptp.qmltpeq (@ tptp.inv1 tptp.e10)))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_5 _let_3))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_5 _let_2))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_5 _let_1))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_4 _let_2))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_4 _let_1))))) (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq _let_2) _let_1))))))))))))))))
% 0.25/0.68 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.inv2 tptp.unit2)) tptp.unit2))))
% 0.25/0.68 (assert (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.inv2 (@ tptp.inv2 tptp.e20))) tptp.e20))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.inv2 (@ tptp.inv2 tptp.e21))) tptp.e21))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.inv2 (@ tptp.inv2 tptp.e22))) tptp.e22))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.inv2 (@ tptp.inv2 tptp.e23))) tptp.e23)))))))
% 0.25/0.68 (assert (let ((_let_1 (@ tptp.qmltpeq (@ tptp.inv2 tptp.e23)))) (let ((_let_2 (@ tptp.mbox_s4 (@ _let_1 tptp.e23)))) (let ((_let_3 (@ tptp.qmltpeq (@ tptp.inv2 tptp.e22)))) (let ((_let_4 (@ tptp.mbox_s4 (@ _let_3 tptp.e23)))) (let ((_let_5 (@ tptp.mbox_s4 (@ _let_1 tptp.e22)))) (let ((_let_6 (@ tptp.qmltpeq (@ tptp.inv2 tptp.e21)))) (let ((_let_7 (@ tptp.mbox_s4 (@ _let_6 tptp.e23)))) (let ((_let_8 (@ tptp.mbox_s4 (@ _let_1 tptp.e21)))) (let ((_let_9 (@ tptp.qmltpeq (@ tptp.inv2 tptp.e20)))) (let ((_let_10 (@ tptp.mbox_s4 (@ _let_9 tptp.e23)))) (let ((_let_11 (@ tptp.mbox_s4 (@ _let_1 tptp.e20)))) (let ((_let_12 (@ tptp.mbox_s4 (@ _let_3 tptp.e22)))) (let ((_let_13 (@ tptp.mbox_s4 (@ _let_6 tptp.e22)))) (let ((_let_14 (@ tptp.mbox_s4 (@ _let_3 tptp.e21)))) (let ((_let_15 (@ tptp.mbox_s4 (@ _let_9 tptp.e22)))) (let ((_let_16 (@ tptp.mbox_s4 (@ _let_3 tptp.e20)))) (let ((_let_17 (@ tptp.mbox_s4 (@ _let_6 tptp.e21)))) (let ((_let_18 (@ tptp.mbox_s4 (@ _let_9 tptp.e21)))) (let ((_let_19 (@ tptp.mbox_s4 (@ _let_6 tptp.e20)))) (let ((_let_20 (@ tptp.mbox_s4 (@ _let_9 tptp.e20)))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_20) _let_20))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_18) _let_19))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_15) _let_16))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_10) _let_11))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_19) _let_18))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_17) _let_17))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_13) _let_14))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_7) _let_8))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_16) _let_15))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_14) _let_13))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_12) _let_12))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_4) _let_5))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_11) _let_10))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_8) _let_7))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_5) _let_4))) (@ tptp.mbox_s4 (@ (@ tptp.mimplies _let_2) _let_2)))))))))))))))))))))))))))))))))))))))
% 0.25/0.68 (assert (let ((_let_1 (@ tptp.inv2 tptp.e23))) (let ((_let_2 (@ tptp.inv2 tptp.e22))) (let ((_let_3 (@ tptp.inv2 tptp.e21))) (let ((_let_4 (@ tptp.qmltpeq _let_3))) (let ((_let_5 (@ tptp.qmltpeq (@ tptp.inv2 tptp.e20)))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_5 _let_3))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_5 _let_2))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_5 _let_1))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_4 _let_2))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_4 _let_1))))) (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq _let_2) _let_1))))))))))))))))
% 0.25/0.68 (assert (let ((_let_1 (@ tptp.op1 tptp.e13))) (let ((_let_2 (@ _let_1 tptp.e13))) (let ((_let_3 (@ _let_1 tptp.e12))) (let ((_let_4 (@ _let_1 tptp.e11))) (let ((_let_5 (@ tptp.qmltpeq _let_4))) (let ((_let_6 (@ _let_1 tptp.e10))) (let ((_let_7 (@ tptp.qmltpeq _let_6))) (let ((_let_8 (@ tptp.op1 tptp.e12))) (let ((_let_9 (@ _let_8 tptp.e13))) (let ((_let_10 (@ _let_8 tptp.e12))) (let ((_let_11 (@ tptp.qmltpeq _let_10))) (let ((_let_12 (@ _let_8 tptp.e11))) (let ((_let_13 (@ tptp.qmltpeq _let_12))) (let ((_let_14 (@ _let_8 tptp.e10))) (let ((_let_15 (@ tptp.qmltpeq _let_14))) (let ((_let_16 (@ tptp.op1 tptp.e11))) (let ((_let_17 (@ _let_16 tptp.e13))) (let ((_let_18 (@ _let_16 tptp.e12))) (let ((_let_19 (@ tptp.qmltpeq _let_18))) (let ((_let_20 (@ _let_16 tptp.e11))) (let ((_let_21 (@ tptp.qmltpeq _let_20))) (let ((_let_22 (@ _let_16 tptp.e10))) (let ((_let_23 (@ tptp.qmltpeq _let_22))) (let ((_let_24 (@ tptp.op1 tptp.e10))) (let ((_let_25 (@ _let_24 tptp.e13))) (let ((_let_26 (@ _let_24 tptp.e12))) (let ((_let_27 (@ tptp.qmltpeq _let_26))) (let ((_let_28 (@ _let_24 tptp.e11))) (let ((_let_29 (@ tptp.qmltpeq _let_28))) (let ((_let_30 (@ tptp.qmltpeq (@ _let_24 tptp.e10)))) (let ((_let_31 (@ tptp.qmltpeq _let_17))) (let ((_let_32 (@ tptp.qmltpeq _let_25))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_30 _let_22))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_30 _let_14))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_30 _let_6))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_23 _let_14))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_23 _let_6))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_15 _let_6))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_29 _let_20))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_29 _let_12))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_29 _let_4))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_21 _let_12))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_21 _let_4))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_13 _let_4))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_27 _let_18))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_27 _let_10))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_27 _let_3))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_19 _let_10))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_19 _let_3))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_11 _let_3))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_32 _let_17))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_32 _let_9))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_32 _let_2))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_31 _let_9))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_31 _let_2))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq _let_9) _let_2))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_30 _let_28))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_30 _let_26))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_30 _let_25))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_29 _let_26))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_29 _let_25))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_27 _let_25))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_23 _let_20))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_23 _let_18))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_23 _let_17))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_21 _let_18))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_21 _let_17))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_19 _let_17))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_15 _let_12))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_15 _let_10))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_15 _let_9))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_13 _let_10))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_13 _let_9))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_11 _let_9))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_7 _let_4))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_7 _let_3))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_7 _let_2))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_5 _let_3))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_5 _let_2))))) (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq _let_3) _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.25/0.68 (assert (let ((_let_1 (@ tptp.op2 tptp.e23))) (let ((_let_2 (@ _let_1 tptp.e23))) (let ((_let_3 (@ _let_1 tptp.e22))) (let ((_let_4 (@ _let_1 tptp.e21))) (let ((_let_5 (@ tptp.qmltpeq _let_4))) (let ((_let_6 (@ _let_1 tptp.e20))) (let ((_let_7 (@ tptp.qmltpeq _let_6))) (let ((_let_8 (@ tptp.op2 tptp.e22))) (let ((_let_9 (@ _let_8 tptp.e23))) (let ((_let_10 (@ _let_8 tptp.e22))) (let ((_let_11 (@ tptp.qmltpeq _let_10))) (let ((_let_12 (@ _let_8 tptp.e21))) (let ((_let_13 (@ tptp.qmltpeq _let_12))) (let ((_let_14 (@ _let_8 tptp.e20))) (let ((_let_15 (@ tptp.qmltpeq _let_14))) (let ((_let_16 (@ tptp.op2 tptp.e21))) (let ((_let_17 (@ _let_16 tptp.e23))) (let ((_let_18 (@ _let_16 tptp.e22))) (let ((_let_19 (@ tptp.qmltpeq _let_18))) (let ((_let_20 (@ _let_16 tptp.e21))) (let ((_let_21 (@ tptp.qmltpeq _let_20))) (let ((_let_22 (@ _let_16 tptp.e20))) (let ((_let_23 (@ tptp.qmltpeq _let_22))) (let ((_let_24 (@ tptp.op2 tptp.e20))) (let ((_let_25 (@ _let_24 tptp.e23))) (let ((_let_26 (@ _let_24 tptp.e22))) (let ((_let_27 (@ tptp.qmltpeq _let_26))) (let ((_let_28 (@ _let_24 tptp.e21))) (let ((_let_29 (@ tptp.qmltpeq _let_28))) (let ((_let_30 (@ tptp.qmltpeq (@ _let_24 tptp.e20)))) (let ((_let_31 (@ tptp.qmltpeq _let_17))) (let ((_let_32 (@ tptp.qmltpeq _let_25))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_30 _let_22))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_30 _let_14))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_30 _let_6))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_23 _let_14))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_23 _let_6))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_15 _let_6))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_29 _let_20))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_29 _let_12))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_29 _let_4))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_21 _let_12))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_21 _let_4))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_13 _let_4))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_27 _let_18))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_27 _let_10))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_27 _let_3))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_19 _let_10))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_19 _let_3))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_11 _let_3))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_32 _let_17))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_32 _let_9))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_32 _let_2))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_31 _let_9))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_31 _let_2))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq _let_9) _let_2))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_30 _let_28))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_30 _let_26))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_30 _let_25))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_29 _let_26))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_29 _let_25))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_27 _let_25))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_23 _let_20))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_23 _let_18))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_23 _let_17))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_21 _let_18))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_21 _let_17))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_19 _let_17))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_15 _let_12))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_15 _let_10))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_15 _let_9))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_13 _let_10))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_13 _let_9))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_11 _let_9))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_7 _let_4))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_7 _let_3))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_7 _let_2))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_5 _let_3))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_5 _let_2))))) (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq _let_3) _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.25/0.68 (assert (let ((_let_1 (@ tptp.qmltpeq tptp.e11))) (let ((_let_2 (@ tptp.qmltpeq tptp.e10))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_2 tptp.e11))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_2 tptp.e12))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_2 tptp.e13))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_1 tptp.e12))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_1 tptp.e13))))) (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq tptp.e12) tptp.e13)))))))))))))
% 0.25/0.68 (assert (let ((_let_1 (@ tptp.qmltpeq tptp.e21))) (let ((_let_2 (@ tptp.qmltpeq tptp.e20))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_2 tptp.e21))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_2 tptp.e22))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_2 tptp.e23))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_1 tptp.e22))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_1 tptp.e23))))) (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq tptp.e22) tptp.e23)))))))))))))
% 0.25/0.68 (assert (let ((_let_1 (@ tptp.qmltpeq tptp.e13))) (let ((_let_2 (@ tptp.qmltpeq tptp.e12))) (let ((_let_3 (@ tptp.qmltpeq tptp.e11))) (let ((_let_4 (@ tptp.qmltpeq tptp.e10))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_4 tptp.e20))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_4 tptp.e21))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_4 tptp.e22))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_4 tptp.e23))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_3 tptp.e20))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_3 tptp.e21))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_3 tptp.e22))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_3 tptp.e23))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_2 tptp.e20))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_2 tptp.e21))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_2 tptp.e22))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_2 tptp.e23))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_1 tptp.e20))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_1 tptp.e21))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_1 tptp.e22))))) (@ tptp.mbox_s4 (@ tptp.mnot (@ tptp.mbox_s4 (@ _let_1 tptp.e23)))))))))))))))))))))))))
% 0.25/0.69 (assert (let ((_let_1 (@ tptp.qmltpeq (@ (@ tptp.op1 tptp.e13) tptp.e13)))) (let ((_let_2 (@ tptp.qmltpeq (@ (@ tptp.op1 tptp.e12) tptp.e12)))) (let ((_let_3 (@ tptp.qmltpeq (@ (@ tptp.op1 tptp.e11) tptp.e11)))) (let ((_let_4 (@ tptp.qmltpeq (@ (@ tptp.op1 tptp.e10) tptp.e10)))) (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mnot (@ (@ tptp.mor (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_4 tptp.e10))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_3 tptp.e10))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_2 tptp.e10))) (@ tptp.mbox_s4 (@ _let_1 tptp.e10)))))) (@ (@ tptp.mor (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_4 tptp.e11))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_3 tptp.e11))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_2 tptp.e11))) (@ tptp.mbox_s4 (@ _let_1 tptp.e11)))))) (@ (@ tptp.mor (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_4 tptp.e12))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_3 tptp.e12))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_2 tptp.e12))) (@ tptp.mbox_s4 (@ _let_1 tptp.e12)))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_4 tptp.e13))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_3 tptp.e13))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_2 tptp.e13))) (@ tptp.mbox_s4 (@ _let_1 tptp.e13))))))))))))))))
% 0.25/0.69 (assert (let ((_let_1 (@ tptp.qmltpeq (@ (@ tptp.op2 tptp.e23) tptp.e23)))) (let ((_let_2 (@ tptp.qmltpeq (@ (@ tptp.op2 tptp.e22) tptp.e22)))) (let ((_let_3 (@ tptp.qmltpeq (@ (@ tptp.op2 tptp.e21) tptp.e21)))) (let ((_let_4 (@ tptp.qmltpeq (@ (@ tptp.op2 tptp.e20) tptp.e20)))) (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mnot (@ (@ tptp.mor (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_4 tptp.e20))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_3 tptp.e20))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_2 tptp.e20))) (@ tptp.mbox_s4 (@ _let_1 tptp.e20)))))) (@ (@ tptp.mor (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_4 tptp.e21))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_3 tptp.e21))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_2 tptp.e21))) (@ tptp.mbox_s4 (@ _let_1 tptp.e21)))))) (@ (@ tptp.mor (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_4 tptp.e22))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_3 tptp.e22))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_2 tptp.e22))) (@ tptp.mbox_s4 (@ _let_1 tptp.e22)))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_4 tptp.e23))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_3 tptp.e23))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_2 tptp.e23))) (@ tptp.mbox_s4 (@ _let_1 tptp.e23))))))))))))))))
% 0.25/0.69 (assert (let ((_let_1 (@ tptp.op1 tptp.e12))) (let ((_let_2 (@ _let_1 tptp.e12))) (let ((_let_3 (@ _let_1 _let_2))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq tptp.e10) (@ (@ tptp.op1 _let_3) tptp.e12)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq tptp.e11) _let_3))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq tptp.e13) _let_2)))))))))
% 0.25/0.69 (assert (let ((_let_1 (@ tptp.op2 tptp.e22))) (let ((_let_2 (@ _let_1 tptp.e22))) (let ((_let_3 (@ _let_1 _let_2))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq tptp.e20) (@ (@ tptp.op2 _let_3) tptp.e22)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq tptp.e21) _let_3))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq tptp.e23) _let_2)))))))))
% 0.25/0.69 (assert (let ((_let_1 (@ tptp.op2 tptp.e20))) (let ((_let_2 (@ _let_1 tptp.e20))) (let ((_let_3 (@ _let_1 _let_2))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 tptp.e12)) tptp.e20))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 tptp.e10)) (@ (@ tptp.op2 _let_3) tptp.e20)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 tptp.e11)) _let_3))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 tptp.e13)) _let_2))))))))))
% 0.25/0.69 (assert (let ((_let_1 (@ tptp.op2 tptp.e21))) (let ((_let_2 (@ _let_1 tptp.e21))) (let ((_let_3 (@ _let_1 _let_2))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 tptp.e12)) tptp.e21))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 tptp.e10)) (@ (@ tptp.op2 _let_3) tptp.e21)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 tptp.e11)) _let_3))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 tptp.e13)) _let_2))))))))))
% 0.25/0.69 (assert (let ((_let_1 (@ tptp.op2 tptp.e22))) (let ((_let_2 (@ _let_1 tptp.e22))) (let ((_let_3 (@ _let_1 _let_2))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 tptp.e12)) tptp.e22))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 tptp.e10)) (@ (@ tptp.op2 _let_3) tptp.e22)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 tptp.e11)) _let_3))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 tptp.e13)) _let_2))))))))))
% 0.25/0.69 (assert (let ((_let_1 (@ tptp.op2 tptp.e23))) (let ((_let_2 (@ _let_1 tptp.e23))) (let ((_let_3 (@ _let_1 _let_2))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h4 tptp.e12)) tptp.e23))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h4 tptp.e10)) (@ (@ tptp.op2 _let_3) tptp.e23)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h4 tptp.e11)) _let_3))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h4 tptp.e13)) _let_2))))))))))
% 0.25/0.69 (assert (let ((_let_1 (@ tptp.h4 tptp.e13))) (let ((_let_2 (@ tptp.qmltpeq _let_1))) (let ((_let_3 (@ tptp.h4 tptp.e12))) (let ((_let_4 (@ tptp.qmltpeq _let_3))) (let ((_let_5 (@ tptp.h4 tptp.e11))) (let ((_let_6 (@ tptp.qmltpeq _let_5))) (let ((_let_7 (@ tptp.h4 tptp.e10))) (let ((_let_8 (@ tptp.qmltpeq _let_7))) (let ((_let_9 (@ tptp.op2 _let_1))) (let ((_let_10 (@ tptp.op1 tptp.e13))) (let ((_let_11 (@ _let_10 tptp.e13))) (let ((_let_12 (@ _let_10 tptp.e12))) (let ((_let_13 (@ _let_10 tptp.e11))) (let ((_let_14 (@ _let_10 tptp.e10))) (let ((_let_15 (@ tptp.op2 _let_3))) (let ((_let_16 (@ tptp.op1 tptp.e12))) (let ((_let_17 (@ _let_16 tptp.e13))) (let ((_let_18 (@ _let_16 tptp.e12))) (let ((_let_19 (@ _let_16 tptp.e11))) (let ((_let_20 (@ _let_16 tptp.e10))) (let ((_let_21 (@ tptp.op2 _let_5))) (let ((_let_22 (@ tptp.op1 tptp.e11))) (let ((_let_23 (@ _let_22 tptp.e13))) (let ((_let_24 (@ _let_22 tptp.e12))) (let ((_let_25 (@ _let_22 tptp.e11))) (let ((_let_26 (@ _let_22 tptp.e10))) (let ((_let_27 (@ tptp.op2 _let_7))) (let ((_let_28 (@ tptp.op1 tptp.e10))) (let ((_let_29 (@ _let_28 tptp.e13))) (let ((_let_30 (@ _let_28 tptp.e12))) (let ((_let_31 (@ _let_28 tptp.e11))) (let ((_let_32 (@ _let_28 tptp.e10))) (let ((_let_33 (@ tptp.h3 tptp.e13))) (let ((_let_34 (@ tptp.qmltpeq _let_33))) (let ((_let_35 (@ tptp.h3 tptp.e12))) (let ((_let_36 (@ tptp.qmltpeq _let_35))) (let ((_let_37 (@ tptp.h3 tptp.e11))) (let ((_let_38 (@ tptp.qmltpeq _let_37))) (let ((_let_39 (@ tptp.h3 tptp.e10))) (let ((_let_40 (@ tptp.qmltpeq _let_39))) (let ((_let_41 (@ tptp.op2 _let_33))) (let ((_let_42 (@ tptp.op2 _let_35))) (let ((_let_43 (@ tptp.op2 _let_37))) (let ((_let_44 (@ tptp.op2 _let_39))) (let ((_let_45 (@ tptp.h2 tptp.e13))) (let ((_let_46 (@ tptp.qmltpeq _let_45))) (let ((_let_47 (@ tptp.h2 tptp.e12))) (let ((_let_48 (@ tptp.qmltpeq _let_47))) (let ((_let_49 (@ tptp.h2 tptp.e11))) (let ((_let_50 (@ tptp.qmltpeq _let_49))) (let ((_let_51 (@ tptp.h2 tptp.e10))) (let ((_let_52 (@ tptp.qmltpeq _let_51))) (let ((_let_53 (@ tptp.op2 _let_45))) (let ((_let_54 (@ tptp.op2 _let_47))) (let ((_let_55 (@ tptp.op2 _let_49))) (let ((_let_56 (@ tptp.op2 _let_51))) (let ((_let_57 (@ tptp.h1 tptp.e13))) (let ((_let_58 (@ tptp.qmltpeq _let_57))) (let ((_let_59 (@ tptp.h1 tptp.e12))) (let ((_let_60 (@ tptp.qmltpeq _let_59))) (let ((_let_61 (@ tptp.h1 tptp.e11))) (let ((_let_62 (@ tptp.qmltpeq _let_61))) (let ((_let_63 (@ tptp.h1 tptp.e10))) (let ((_let_64 (@ tptp.qmltpeq _let_63))) (let ((_let_65 (@ tptp.op2 _let_57))) (let ((_let_66 (@ tptp.op2 _let_59))) (let ((_let_67 (@ tptp.op2 _let_61))) (let ((_let_68 (@ tptp.op2 _let_63))) (not (@ tptp.mvalid (@ (@ tptp.mor (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 _let_32)) (@ _let_68 _let_63)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 _let_31)) (@ _let_68 _let_61)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 _let_30)) (@ _let_68 _let_59)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 _let_29)) (@ _let_68 _let_57)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 _let_26)) (@ _let_67 _let_63)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 _let_25)) (@ _let_67 _let_61)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 _let_24)) (@ _let_67 _let_59)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 _let_23)) (@ _let_67 _let_57)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 _let_20)) (@ _let_66 _let_63)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 _let_19)) (@ _let_66 _let_61)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 _let_18)) (@ _let_66 _let_59)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 _let_17)) (@ _let_66 _let_57)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 _let_14)) (@ _let_65 _let_63)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 _let_13)) (@ _let_65 _let_61)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 _let_12)) (@ _let_65 _let_59)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h1 _let_11)) (@ _let_65 _let_57)))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_64 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_62 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_60 tptp.e20))) (@ tptp.mbox_s4 (@ _let_58 tptp.e20)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_64 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_62 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_60 tptp.e21))) (@ tptp.mbox_s4 (@ _let_58 tptp.e21)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_64 tptp.e22))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_62 tptp.e22))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_60 tptp.e22))) (@ tptp.mbox_s4 (@ _let_58 tptp.e22)))))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_64 tptp.e23))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_62 tptp.e23))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_60 tptp.e23))) (@ tptp.mbox_s4 (@ _let_58 tptp.e23))))))))))))))))))))))))) (@ (@ tptp.mor (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 _let_32)) (@ _let_56 _let_51)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 _let_31)) (@ _let_56 _let_49)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 _let_30)) (@ _let_56 _let_47)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 _let_29)) (@ _let_56 _let_45)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 _let_26)) (@ _let_55 _let_51)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 _let_25)) (@ _let_55 _let_49)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 _let_24)) (@ _let_55 _let_47)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 _let_23)) (@ _let_55 _let_45)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 _let_20)) (@ _let_54 _let_51)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 _let_19)) (@ _let_54 _let_49)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 _let_18)) (@ _let_54 _let_47)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 _let_17)) (@ _let_54 _let_45)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 _let_14)) (@ _let_53 _let_51)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 _let_13)) (@ _let_53 _let_49)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 _let_12)) (@ _let_53 _let_47)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h2 _let_11)) (@ _let_53 _let_45)))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_52 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_50 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_48 tptp.e20))) (@ tptp.mbox_s4 (@ _let_46 tptp.e20)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_52 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_50 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_48 tptp.e21))) (@ tptp.mbox_s4 (@ _let_46 tptp.e21)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_52 tptp.e22))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_50 tptp.e22))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_48 tptp.e22))) (@ tptp.mbox_s4 (@ _let_46 tptp.e22)))))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_52 tptp.e23))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_50 tptp.e23))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_48 tptp.e23))) (@ tptp.mbox_s4 (@ _let_46 tptp.e23))))))))))))))))))))))))) (@ (@ tptp.mor (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 _let_32)) (@ _let_44 _let_39)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 _let_31)) (@ _let_44 _let_37)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 _let_30)) (@ _let_44 _let_35)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 _let_29)) (@ _let_44 _let_33)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 _let_26)) (@ _let_43 _let_39)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 _let_25)) (@ _let_43 _let_37)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 _let_24)) (@ _let_43 _let_35)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 _let_23)) (@ _let_43 _let_33)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 _let_20)) (@ _let_42 _let_39)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 _let_19)) (@ _let_42 _let_37)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 _let_18)) (@ _let_42 _let_35)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 _let_17)) (@ _let_42 _let_33)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 _let_14)) (@ _let_41 _let_39)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 _let_13)) (@ _let_41 _let_37)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 _let_12)) (@ _let_41 _let_35)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h3 _let_11)) (@ _let_41 _let_33)))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_40 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_38 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_36 tptp.e20))) (@ tptp.mbox_s4 (@ _let_34 tptp.e20)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_40 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_38 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_36 tptp.e21))) (@ tptp.mbox_s4 (@ _let_34 tptp.e21)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_40 tptp.e22))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_38 tptp.e22))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_36 tptp.e22))) (@ tptp.mbox_s4 (@ _let_34 tptp.e22)))))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_40 tptp.e23))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_38 tptp.e23))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_36 tptp.e23))) (@ tptp.mbox_s4 (@ _let_34 tptp.e23))))))))))))))))))))))))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h4 _let_32)) (@ _let_27 _let_7)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h4 _let_31)) (@ _let_27 _let_5)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h4 _let_30)) (@ _let_27 _let_3)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h4 _let_29)) (@ _let_27 _let_1)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h4 _let_26)) (@ _let_21 _let_7)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h4 _let_25)) (@ _let_21 _let_5)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h4 _let_24)) (@ _let_21 _let_3)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h4 _let_23)) (@ _let_21 _let_1)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h4 _let_20)) (@ _let_15 _let_7)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h4 _let_19)) (@ _let_15 _let_5)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h4 _let_18)) (@ _let_15 _let_3)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h4 _let_17)) (@ _let_15 _let_1)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h4 _let_14)) (@ _let_9 _let_7)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h4 _let_13)) (@ _let_9 _let_5)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h4 _let_12)) (@ _let_9 _let_3)))) (@ (@ tptp.mand (@ tpt/export/starexec/sandbox/solver/bin/do_THM_THF: line 35: 6747 Alarm clock ( read result; case "$result" in
% 299.75/300.33 unsat)
% 299.75/300.33 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.75/300.33 ;;
% 299.75/300.33 sat)
% 299.75/300.33 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.75/300.33 ;;
% 299.75/300.33 esac; exit 1 )
% 299.75/300.34 Alarm clock
% 299.75/300.34 % cvc5---1.0.5 exiting
% 299.75/300.34 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------