TSTP Solution File: ALG020^7 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ALG020^7 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 16:07:53 EDT 2023
% Result : Timeout 300.07s 290.58s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : ALG020^7 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.19/0.36 % Computer : n022.cluster.edu
% 0.19/0.36 % Model : x86_64 x86_64
% 0.19/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36 % Memory : 8042.1875MB
% 0.19/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Mon Aug 28 03:04:09 EDT 2023
% 0.19/0.36 % CPUTime :
% 0.22/0.51 %----Proving TH0
% 0.22/0.51 %------------------------------------------------------------------------------
% 0.22/0.51 % File : ALG020^7 : TPTP v8.1.2. Released v5.5.0.
% 0.22/0.51 % Domain : General Algebra
% 0.22/0.51 % Problem : Groups 4: REPRESENTATIVES-PAIRWISE-NOT-ISO-PROBLEM-1
% 0.22/0.51 % Version : [Ben12] axioms.
% 0.22/0.51 % English :
% 0.22/0.51
% 0.22/0.51 % Refs : [Goe69] Goedel (1969), An Interpretation of the Intuitionistic
% 0.22/0.51 % : [CM+04] Colton et al. (2004), Automatic Generation of Classifi
% 0.22/0.51 % : [Ben12] Benzmueller (2012), Email to Geoff Sutcliffe
% 0.22/0.51 % Source : [Ben12]
% 0.22/0.51 % Names : s4-cumul-GAL020+1 [Ben12]
% 0.22/0.51
% 0.22/0.51 % Status : Theorem
% 0.22/0.51 % Rating : 1.00 v5.5.0
% 0.22/0.51 % Syntax : Number of formulae : 111 ( 45 unt; 48 typ; 32 def)
% 0.22/0.51 % Number of atoms : 679 ( 36 equ; 0 cnn)
% 0.22/0.51 % Maximal formula atoms : 219 ( 10 avg)
% 0.22/0.51 % Number of connectives : 1378 ( 5 ~; 5 |; 9 &;1349 @)
% 0.22/0.51 % ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% 0.22/0.51 % Maximal formula depth : 51 ( 6 avg)
% 0.22/0.51 % Number of types : 3 ( 1 usr)
% 0.22/0.51 % Number of type conns : 186 ( 186 >; 0 *; 0 +; 0 <<)
% 0.22/0.51 % Number of symbols : 58 ( 56 usr; 18 con; 0-3 aty)
% 0.22/0.51 % Number of variables : 130 ( 71 ^; 52 !; 7 ?; 130 :)
% 0.22/0.51 % SPC : TH0_THM_EQU_NAR
% 0.22/0.51
% 0.22/0.51 % Comments : Goedel translation of ALG020+1
% 0.22/0.51 %------------------------------------------------------------------------------
% 0.22/0.51 %----Include axioms for Modal logic S4 under cumulative domains
% 0.22/0.51 %------------------------------------------------------------------------------
% 0.22/0.51 %----Declaration of additional base type mu
% 0.22/0.51 thf(mu_type,type,
% 0.22/0.51 mu: $tType ).
% 0.22/0.51
% 0.22/0.51 %----Equality
% 0.22/0.51 thf(qmltpeq_type,type,
% 0.22/0.51 qmltpeq: mu > mu > $i > $o ).
% 0.22/0.51
% 0.22/0.51 % originale Definition
% 0.22/0.51 %thf(qmltpeq,definition,
% 0.22/0.51 % ( qmltpeq
% 0.22/0.51 % = ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) )).
% 0.22/0.51
% 0.22/0.51 % erweiterte Leibnitz-Definition
% 0.22/0.51 %thf(qmltpeq,definition,
% 0.22/0.51 % ( qmltpeq
% 0.22/0.51 % = ( ^ [X: mu,Y: mu,W: $i] : (![P: mu > $i > $o]: ( (P @ X @ W) <=> (P @ Y @ W) ) ) ) )).
% 0.22/0.51
% 0.22/0.51 % Leibnitz-Definition
% 0.22/0.51 %thf(qmltpeq,definition,
% 0.22/0.51 % ( qmltpeq
% 0.22/0.51 % = ( ^ [X: mu,Y: mu,W: $i] : (! [P: mu > $o]: ( (P @ X) <=> (P @ Y) ) ) ) )).
% 0.22/0.51
% 0.22/0.51 thf(meq_prop_type,type,
% 0.22/0.51 meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.22/0.51
% 0.22/0.51 thf(meq_prop,definition,
% 0.22/0.51 ( meq_prop
% 0.22/0.51 = ( ^ [X: $i > $o,Y: $i > $o,W: $i] :
% 0.22/0.51 ( ( X @ W )
% 0.22/0.51 = ( Y @ W ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 %----Modal operators not, or, box, Pi
% 0.22/0.51 thf(mnot_type,type,
% 0.22/0.51 mnot: ( $i > $o ) > $i > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mnot,definition,
% 0.22/0.51 ( mnot
% 0.22/0.51 = ( ^ [Phi: $i > $o,W: $i] :
% 0.22/0.51 ~ ( Phi @ W ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(mor_type,type,
% 0.22/0.51 mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mor,definition,
% 0.22/0.51 ( mor
% 0.22/0.51 = ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
% 0.22/0.51 ( ( Phi @ W )
% 0.22/0.51 | ( Psi @ W ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(mbox_type,type,
% 0.22/0.51 mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mbox,definition,
% 0.22/0.51 ( mbox
% 0.22/0.51 = ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
% 0.22/0.51 ! [V: $i] :
% 0.22/0.51 ( ~ ( R @ W @ V )
% 0.22/0.51 | ( Phi @ V ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(mforall_prop_type,type,
% 0.22/0.51 mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mforall_prop,definition,
% 0.22/0.51 ( mforall_prop
% 0.22/0.51 = ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
% 0.22/0.51 ! [P: $i > $o] : ( Phi @ P @ W ) ) ) ).
% 0.22/0.51
% 0.22/0.51 %----Further modal operators
% 0.22/0.51 thf(mtrue_type,type,
% 0.22/0.51 mtrue: $i > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mtrue,definition,
% 0.22/0.51 ( mtrue
% 0.22/0.51 = ( ^ [W: $i] : $true ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(mfalse_type,type,
% 0.22/0.51 mfalse: $i > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mfalse,definition,
% 0.22/0.51 ( mfalse
% 0.22/0.51 = ( mnot @ mtrue ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(mand_type,type,
% 0.22/0.51 mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mand,definition,
% 0.22/0.51 ( mand
% 0.22/0.51 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(mimplies_type,type,
% 0.22/0.51 mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mimplies,definition,
% 0.22/0.51 ( mimplies
% 0.22/0.51 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(mimplied_type,type,
% 0.22/0.51 mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mimplied,definition,
% 0.22/0.51 ( mimplied
% 0.22/0.51 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(mequiv_type,type,
% 0.22/0.51 mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mequiv,definition,
% 0.22/0.51 ( mequiv
% 0.22/0.51 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(mxor_type,type,
% 0.22/0.51 mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mxor,definition,
% 0.22/0.51 ( mxor
% 0.22/0.51 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(mdia_type,type,
% 0.22/0.51 mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mdia,definition,
% 0.22/0.51 ( mdia
% 0.22/0.51 = ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 %--- (new for cumulative)
% 0.22/0.51 %---Declaration of existence predicate for simulating cumulative domain
% 0.22/0.51 thf(exists_in_world_type,type,
% 0.22/0.51 exists_in_world: mu > $i > $o ).
% 0.22/0.51
% 0.22/0.51 %----The domains are non-empty
% 0.22/0.51 thf(nonempty_ax,axiom,
% 0.22/0.51 ! [V: $i] :
% 0.22/0.51 ? [X: mu] : ( exists_in_world @ X @ V ) ).
% 0.22/0.51
% 0.22/0.51 thf(mforall_ind_type,type,
% 0.22/0.51 mforall_ind: ( mu > $i > $o ) > $i > $o ).
% 0.22/0.51
% 0.22/0.51 %--- (new for cumulative)
% 0.22/0.51 thf(mforall_ind,definition,
% 0.22/0.51 ( mforall_ind
% 0.22/0.51 = ( ^ [Phi: mu > $i > $o,W: $i] :
% 0.22/0.51 ! [X: mu] :
% 0.22/0.51 ( ( exists_in_world @ X @ W )
% 0.22/0.51 => ( Phi @ X @ W ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 %thf(mforall_ind,definition,
% 0.22/0.51 % ( mforall_ind
% 0.22/0.51 % = ( ^ [Phi: mu > $i > $o,W: $i] :
% 0.22/0.51 % ! [X: mu] :
% 0.22/0.51 % ( Phi @ X @ W ) ) )).
% 0.22/0.51
% 0.22/0.51 thf(mexists_ind_type,type,
% 0.22/0.51 mexists_ind: ( mu > $i > $o ) > $i > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mexists_ind,definition,
% 0.22/0.51 ( mexists_ind
% 0.22/0.51 = ( ^ [Phi: mu > $i > $o] :
% 0.22/0.51 ( mnot
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(mexists_prop_type,type,
% 0.22/0.51 mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mexists_prop,definition,
% 0.22/0.51 ( mexists_prop
% 0.22/0.51 = ( ^ [Phi: ( $i > $o ) > $i > $o] :
% 0.22/0.51 ( mnot
% 0.22/0.51 @ ( mforall_prop
% 0.22/0.51 @ ^ [P: $i > $o] : ( mnot @ ( Phi @ P ) ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 %----Definition of properties of accessibility relations
% 0.22/0.51 thf(mreflexive_type,type,
% 0.22/0.51 mreflexive: ( $i > $i > $o ) > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mreflexive,definition,
% 0.22/0.51 ( mreflexive
% 0.22/0.51 = ( ^ [R: $i > $i > $o] :
% 0.22/0.51 ! [S: $i] : ( R @ S @ S ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(msymmetric_type,type,
% 0.22/0.51 msymmetric: ( $i > $i > $o ) > $o ).
% 0.22/0.51
% 0.22/0.51 thf(msymmetric,definition,
% 0.22/0.51 ( msymmetric
% 0.22/0.51 = ( ^ [R: $i > $i > $o] :
% 0.22/0.51 ! [S: $i,T: $i] :
% 0.22/0.51 ( ( R @ S @ T )
% 0.22/0.51 => ( R @ T @ S ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(mserial_type,type,
% 0.22/0.51 mserial: ( $i > $i > $o ) > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mserial,definition,
% 0.22/0.51 ( mserial
% 0.22/0.51 = ( ^ [R: $i > $i > $o] :
% 0.22/0.51 ! [S: $i] :
% 0.22/0.51 ? [T: $i] : ( R @ S @ T ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(mtransitive_type,type,
% 0.22/0.51 mtransitive: ( $i > $i > $o ) > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mtransitive,definition,
% 0.22/0.51 ( mtransitive
% 0.22/0.51 = ( ^ [R: $i > $i > $o] :
% 0.22/0.51 ! [S: $i,T: $i,U: $i] :
% 0.22/0.51 ( ( ( R @ S @ T )
% 0.22/0.51 & ( R @ T @ U ) )
% 0.22/0.51 => ( R @ S @ U ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(meuclidean_type,type,
% 0.22/0.51 meuclidean: ( $i > $i > $o ) > $o ).
% 0.22/0.51
% 0.22/0.51 thf(meuclidean,definition,
% 0.22/0.51 ( meuclidean
% 0.22/0.51 = ( ^ [R: $i > $i > $o] :
% 0.22/0.51 ! [S: $i,T: $i,U: $i] :
% 0.22/0.51 ( ( ( R @ S @ T )
% 0.22/0.51 & ( R @ S @ U ) )
% 0.22/0.51 => ( R @ T @ U ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(mpartially_functional_type,type,
% 0.22/0.51 mpartially_functional: ( $i > $i > $o ) > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mpartially_functional,definition,
% 0.22/0.51 ( mpartially_functional
% 0.22/0.51 = ( ^ [R: $i > $i > $o] :
% 0.22/0.51 ! [S: $i,T: $i,U: $i] :
% 0.22/0.51 ( ( ( R @ S @ T )
% 0.22/0.51 & ( R @ S @ U ) )
% 0.22/0.51 => ( T = U ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(mfunctional_type,type,
% 0.22/0.51 mfunctional: ( $i > $i > $o ) > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mfunctional,definition,
% 0.22/0.51 ( mfunctional
% 0.22/0.51 = ( ^ [R: $i > $i > $o] :
% 0.22/0.51 ! [S: $i] :
% 0.22/0.51 ? [T: $i] :
% 0.22/0.51 ( ( R @ S @ T )
% 0.22/0.51 & ! [U: $i] :
% 0.22/0.51 ( ( R @ S @ U )
% 0.22/0.51 => ( T = U ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(mweakly_dense_type,type,
% 0.22/0.51 mweakly_dense: ( $i > $i > $o ) > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mweakly_dense,definition,
% 0.22/0.51 ( mweakly_dense
% 0.22/0.51 = ( ^ [R: $i > $i > $o] :
% 0.22/0.51 ! [S: $i,T: $i,U: $i] :
% 0.22/0.51 ( ( R @ S @ T )
% 0.22/0.51 => ? [U: $i] :
% 0.22/0.51 ( ( R @ S @ U )
% 0.22/0.51 & ( R @ U @ T ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(mweakly_connected_type,type,
% 0.22/0.51 mweakly_connected: ( $i > $i > $o ) > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mweakly_connected,definition,
% 0.22/0.51 ( mweakly_connected
% 0.22/0.51 = ( ^ [R: $i > $i > $o] :
% 0.22/0.51 ! [S: $i,T: $i,U: $i] :
% 0.22/0.51 ( ( ( R @ S @ T )
% 0.22/0.51 & ( R @ S @ U ) )
% 0.22/0.51 => ( ( R @ T @ U )
% 0.22/0.51 | ( T = U )
% 0.22/0.51 | ( R @ U @ T ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(mweakly_directed_type,type,
% 0.22/0.51 mweakly_directed: ( $i > $i > $o ) > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mweakly_directed,definition,
% 0.22/0.51 ( mweakly_directed
% 0.22/0.51 = ( ^ [R: $i > $i > $o] :
% 0.22/0.51 ! [S: $i,T: $i,U: $i] :
% 0.22/0.51 ( ( ( R @ S @ T )
% 0.22/0.51 & ( R @ S @ U ) )
% 0.22/0.51 => ? [V: $i] :
% 0.22/0.51 ( ( R @ T @ V )
% 0.22/0.51 & ( R @ U @ V ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 %----Definition of validity
% 0.22/0.51 thf(mvalid_type,type,
% 0.22/0.51 mvalid: ( $i > $o ) > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mvalid,definition,
% 0.22/0.51 ( mvalid
% 0.22/0.51 = ( ^ [Phi: $i > $o] :
% 0.22/0.51 ! [W: $i] : ( Phi @ W ) ) ) ).
% 0.22/0.51
% 0.22/0.51 %----Definition of satisfiability
% 0.22/0.51 thf(msatisfiable_type,type,
% 0.22/0.51 msatisfiable: ( $i > $o ) > $o ).
% 0.22/0.51
% 0.22/0.51 thf(msatisfiable,definition,
% 0.22/0.51 ( msatisfiable
% 0.22/0.51 = ( ^ [Phi: $i > $o] :
% 0.22/0.51 ? [W: $i] : ( Phi @ W ) ) ) ).
% 0.22/0.51
% 0.22/0.51 %----Definition of countersatisfiability
% 0.22/0.51 thf(mcountersatisfiable_type,type,
% 0.22/0.51 mcountersatisfiable: ( $i > $o ) > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mcountersatisfiable,definition,
% 0.22/0.51 ( mcountersatisfiable
% 0.22/0.51 = ( ^ [Phi: $i > $o] :
% 0.22/0.51 ? [W: $i] :
% 0.22/0.51 ~ ( Phi @ W ) ) ) ).
% 0.22/0.51
% 0.22/0.51 %----Definition of invalidity
% 0.22/0.51 thf(minvalid_type,type,
% 0.22/0.51 minvalid: ( $i > $o ) > $o ).
% 0.22/0.51
% 0.22/0.51 thf(minvalid,definition,
% 0.22/0.51 ( minvalid
% 0.22/0.51 = ( ^ [Phi: $i > $o] :
% 0.22/0.51 ! [W: $i] :
% 0.22/0.51 ~ ( Phi @ W ) ) ) ).
% 0.22/0.51
% 0.22/0.51 %------------------------------------------------------------------------------
% 0.22/0.51 %------------------------------------------------------------------------------
% 0.22/0.51 %----We reserve an accessibility relation constant rel_s4
% 0.22/0.51 thf(rel_s4_type,type,
% 0.22/0.51 rel_s4: $i > $i > $o ).
% 0.22/0.51
% 0.22/0.51 %----We define mbox_s4 and mdia_s4 based on rel_s4
% 0.22/0.51 thf(mbox_s4_type,type,
% 0.22/0.51 mbox_s4: ( $i > $o ) > $i > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mbox_s4,definition,
% 0.22/0.51 ( mbox_s4
% 0.22/0.51 = ( ^ [Phi: $i > $o,W: $i] :
% 0.22/0.51 ! [V: $i] :
% 0.22/0.51 ( ~ ( rel_s4 @ W @ V )
% 0.22/0.51 | ( Phi @ V ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(mdia_s4_type,type,
% 0.22/0.51 mdia_s4: ( $i > $o ) > $i > $o ).
% 0.22/0.51
% 0.22/0.51 thf(mdia_s4,definition,
% 0.22/0.51 ( mdia_s4
% 0.22/0.51 = ( ^ [Phi: $i > $o] : ( mnot @ ( mbox_s4 @ ( mnot @ Phi ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 %----We have now two options for stating the B conditions:
% 0.22/0.51 %----We can (i) directly formulate conditions for the accessibility relation
% 0.22/0.51 %----constant or we can (ii) state corresponding axioms. We here prefer (i)
% 0.22/0.51 thf(a1,axiom,
% 0.22/0.51 mreflexive @ rel_s4 ).
% 0.22/0.51
% 0.22/0.51 thf(a2,axiom,
% 0.22/0.51 mtransitive @ rel_s4 ).
% 0.22/0.51
% 0.22/0.51 %------------------------------------------------------------------------------
% 0.22/0.51 %------------------------------------------------------------------------------
% 0.22/0.51 thf(cumulative_ax,axiom,
% 0.22/0.51 ! [X: mu,V: $i,W: $i] :
% 0.22/0.51 ( ( ( exists_in_world @ X @ V )
% 0.22/0.51 & ( rel_s4 @ V @ W ) )
% 0.22/0.51 => ( exists_in_world @ X @ W ) ) ).
% 0.22/0.51
% 0.22/0.51 %------------------------------------------------------------------------------
% 0.22/0.51 %------------------------------------------------------------------------------
% 0.22/0.51 thf(op2_type,type,
% 0.22/0.51 op2: mu > mu > mu ).
% 0.22/0.51
% 0.22/0.51 thf(existence_of_op2_ax,axiom,
% 0.22/0.51 ! [V: $i,V2: mu,V1: mu] : ( exists_in_world @ ( op2 @ V2 @ V1 ) @ V ) ).
% 0.22/0.51
% 0.22/0.51 thf(op1_type,type,
% 0.22/0.51 op1: mu > mu > mu ).
% 0.22/0.51
% 0.22/0.51 thf(existence_of_op1_ax,axiom,
% 0.22/0.51 ! [V: $i,V2: mu,V1: mu] : ( exists_in_world @ ( op1 @ V2 @ V1 ) @ V ) ).
% 0.22/0.51
% 0.22/0.51 thf(j_type,type,
% 0.22/0.51 j: mu > mu ).
% 0.22/0.51
% 0.22/0.51 thf(existence_of_j_ax,axiom,
% 0.22/0.51 ! [V: $i,V1: mu] : ( exists_in_world @ ( j @ V1 ) @ V ) ).
% 0.22/0.51
% 0.22/0.51 thf(e13_type,type,
% 0.22/0.51 e13: mu ).
% 0.22/0.51
% 0.22/0.51 thf(existence_of_e13_ax,axiom,
% 0.22/0.51 ! [V: $i] : ( exists_in_world @ e13 @ V ) ).
% 0.22/0.51
% 0.22/0.51 thf(e12_type,type,
% 0.22/0.51 e12: mu ).
% 0.22/0.51
% 0.22/0.51 thf(existence_of_e12_ax,axiom,
% 0.22/0.51 ! [V: $i] : ( exists_in_world @ e12 @ V ) ).
% 0.22/0.51
% 0.22/0.51 thf(e11_type,type,
% 0.22/0.51 e11: mu ).
% 0.22/0.51
% 0.22/0.51 thf(existence_of_e11_ax,axiom,
% 0.22/0.51 ! [V: $i] : ( exists_in_world @ e11 @ V ) ).
% 0.22/0.51
% 0.22/0.51 thf(e23_type,type,
% 0.22/0.51 e23: mu ).
% 0.22/0.51
% 0.22/0.51 thf(existence_of_e23_ax,axiom,
% 0.22/0.51 ! [V: $i] : ( exists_in_world @ e23 @ V ) ).
% 0.22/0.51
% 0.22/0.51 thf(e22_type,type,
% 0.22/0.51 e22: mu ).
% 0.22/0.51
% 0.22/0.51 thf(existence_of_e22_ax,axiom,
% 0.22/0.51 ! [V: $i] : ( exists_in_world @ e22 @ V ) ).
% 0.22/0.51
% 0.22/0.51 thf(e21_type,type,
% 0.22/0.51 e21: mu ).
% 0.22/0.51
% 0.22/0.51 thf(existence_of_e21_ax,axiom,
% 0.22/0.51 ! [V: $i] : ( exists_in_world @ e21 @ V ) ).
% 0.22/0.51
% 0.22/0.51 thf(e20_type,type,
% 0.22/0.51 e20: mu ).
% 0.22/0.51
% 0.22/0.51 thf(existence_of_e20_ax,axiom,
% 0.22/0.51 ! [V: $i] : ( exists_in_world @ e20 @ V ) ).
% 0.22/0.51
% 0.22/0.51 thf(e10_type,type,
% 0.22/0.51 e10: mu ).
% 0.22/0.51
% 0.22/0.51 thf(existence_of_e10_ax,axiom,
% 0.22/0.51 ! [V: $i] : ( exists_in_world @ e10 @ V ) ).
% 0.22/0.51
% 0.22/0.51 thf(h_type,type,
% 0.22/0.51 h: mu > mu ).
% 0.22/0.51
% 0.22/0.51 thf(existence_of_h_ax,axiom,
% 0.22/0.51 ! [V: $i,V1: mu] : ( exists_in_world @ ( h @ V1 ) @ V ) ).
% 0.22/0.51
% 0.22/0.51 thf(reflexivity,axiom,
% 0.22/0.51 ( mvalid
% 0.22/0.51 @ ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [X: mu] : ( mbox_s4 @ ( qmltpeq @ X @ X ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(symmetry,axiom,
% 0.22/0.51 ( mvalid
% 0.22/0.51 @ ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [X: mu] :
% 0.22/0.51 ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [Y: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ X @ Y ) ) @ ( mbox_s4 @ ( qmltpeq @ Y @ X ) ) ) ) ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(transitivity,axiom,
% 0.22/0.51 ( mvalid
% 0.22/0.51 @ ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [X: mu] :
% 0.22/0.51 ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [Y: mu] :
% 0.22/0.51 ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [Z: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( qmltpeq @ X @ Y ) ) @ ( mbox_s4 @ ( qmltpeq @ Y @ Z ) ) ) @ ( mbox_s4 @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(h_substitution_1,axiom,
% 0.22/0.51 ( mvalid
% 0.22/0.51 @ ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [A: mu] :
% 0.22/0.51 ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h @ A ) @ ( h @ B ) ) ) ) ) ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(j_substitution_1,axiom,
% 0.22/0.51 ( mvalid
% 0.22/0.51 @ ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [A: mu] :
% 0.22/0.51 ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [B: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( qmltpeq @ ( j @ A ) @ ( j @ B ) ) ) ) ) ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(op1_substitution_1,axiom,
% 0.22/0.51 ( mvalid
% 0.22/0.51 @ ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [A: mu] :
% 0.22/0.51 ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [B: mu] :
% 0.22/0.51 ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ A @ C ) @ ( op1 @ B @ C ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(op1_substitution_2,axiom,
% 0.22/0.51 ( mvalid
% 0.22/0.51 @ ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [A: mu] :
% 0.22/0.51 ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [B: mu] :
% 0.22/0.51 ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ C @ A ) @ ( op1 @ C @ B ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(op2_substitution_1,axiom,
% 0.22/0.51 ( mvalid
% 0.22/0.51 @ ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [A: mu] :
% 0.22/0.51 ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [B: mu] :
% 0.22/0.51 ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ A @ C ) @ ( op2 @ B @ C ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(op2_substitution_2,axiom,
% 0.22/0.51 ( mvalid
% 0.22/0.51 @ ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [A: mu] :
% 0.22/0.51 ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [B: mu] :
% 0.22/0.51 ( mbox_s4
% 0.22/0.51 @ ( mforall_ind
% 0.22/0.51 @ ^ [C: mu] : ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ A @ B ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ C @ A ) @ ( op2 @ C @ B ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(ax1,axiom,
% 0.22/0.51 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 ) ) ) ) ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(ax2,axiom,
% 0.22/0.51 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 ) ) ) ) ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(ax3,axiom,
% 0.22/0.51 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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(ax4,axiom,
% 0.22/0.51 mvalid @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e10 ) @ e10 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e11 ) @ e11 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e12 ) @ e12 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e10 @ e13 ) @ e13 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e10 ) @ e11 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e11 ) @ e10 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e12 ) @ e13 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e11 @ e13 ) @ e12 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e10 ) @ e12 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e11 ) @ e13 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e12 ) @ e10 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e12 @ e13 ) @ e11 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e10 ) @ e13 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e11 ) @ e12 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e12 ) @ e11 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op1 @ e13 @ e13 ) @ e10 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(ax5,axiom,
% 0.22/0.51 mvalid @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e20 ) @ e20 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e21 ) @ e21 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e22 ) @ e22 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e20 @ e23 ) @ e23 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e20 ) @ e21 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e21 ) @ e23 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e22 ) @ e20 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e21 @ e23 ) @ e22 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e20 ) @ e22 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e21 ) @ e20 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e22 ) @ e23 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e22 @ e23 ) @ e21 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e20 ) @ e23 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e21 ) @ e22 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e22 ) @ e21 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op2 @ e23 @ e23 ) @ e20 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(co1,conjecture,
% 0.22/0.51 mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h @ e10 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h @ e10 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h @ e10 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h @ e10 ) @ e23 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h @ e11 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h @ e11 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h @ e11 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h @ e11 ) @ e23 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h @ e12 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h @ e12 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h @ e12 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h @ e12 ) @ e23 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h @ e13 ) @ e20 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h @ e13 ) @ e21 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( h @ e13 ) @ e22 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( h @ e13 ) @ e23 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( j @ e20 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( j @ e20 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( j @ e20 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( j @ e20 ) @ e13 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( j @ e21 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( j @ e21 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( j @ e21 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( j @ e21 ) @ e13 ) ) ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( j @ e22 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( j @ e22 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( j @ e22 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( j @ e22 ) @ e13 ) ) ) ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( j @ e23 ) @ e10 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( j @ e23 ) @ e11 ) ) @ ( mor @ ( mbox_s4 @ ( qmltpeq @ ( j @ e23 ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( j @ e23 ) @ e13 ) ) ) ) ) ) ) ) ) ) ) ) @ ( mbox_s4 @ ( mnot @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h @ ( op1 @ e10 @ e10 ) ) @ ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h @ ( op1 @ e10 @ e11 ) ) @ ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h @ ( op1 @ e10 @ e12 ) ) @ ( op2 @ ( h @ e10 ) @ ( h @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h @ ( op1 @ e10 @ e13 ) ) @ ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h @ ( op1 @ e11 @ e10 ) ) @ ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h @ ( op1 @ e11 @ e11 ) ) @ ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h @ ( op1 @ e11 @ e12 ) ) @ ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h @ ( op1 @ e11 @ e13 ) ) @ ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h @ ( op1 @ e12 @ e10 ) ) @ ( op2 @ ( h @ e12 ) @ ( h @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h @ ( op1 @ e12 @ e11 ) ) @ ( op2 @ ( h @ e12 ) @ ( h @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h @ ( op1 @ e12 @ e12 ) ) @ ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h @ ( op1 @ e12 @ e13 ) ) @ ( op2 @ ( h @ e12 ) @ ( h @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h @ ( op1 @ e13 @ e10 ) ) @ ( op2 @ ( h @ e13 ) @ ( h @ e10 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h @ ( op1 @ e13 @ e11 ) ) @ ( op2 @ ( h @ e13 ) @ ( h @ e11 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h @ ( op1 @ e13 @ e12 ) ) @ ( op2 @ ( h @ e13 ) @ ( h @ e12 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h @ ( op1 @ e13 @ e13 ) ) @ ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( j @ ( op2 @ e20 @ e20 ) ) @ ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( j @ ( op2 @ e20 @ e21 ) ) @ ( op1 @ ( j @ e20 ) @ ( j @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( j @ ( op2 @ e20 @ e22 ) ) @ ( op1 @ ( j @ e20 ) @ ( j @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( j @ ( op2 @ e20 @ e23 ) ) @ ( op1 @ ( j @ e20 ) @ ( j @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( j @ ( op2 @ e21 @ e20 ) ) @ ( op1 @ ( j @ e21 ) @ ( j @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( j @ ( op2 @ e21 @ e21 ) ) @ ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( j @ ( op2 @ e21 @ e22 ) ) @ ( op1 @ ( j @ e21 ) @ ( j @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( j @ ( op2 @ e21 @ e23 ) ) @ ( op1 @ ( j @ e21 ) @ ( j @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( j @ ( op2 @ e22 @ e20 ) ) @ ( op1 @ ( j @ e22 ) @ ( j @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( j @ ( op2 @ e22 @ e21 ) ) @ ( op1 @ ( j @ e22 ) @ ( j @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( j @ ( op2 @ e22 @ e22 ) ) @ ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( j @ ( op2 @ e22 @ e23 ) ) @ ( op1 @ ( j @ e22 ) @ ( j @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( j @ ( op2 @ e23 @ e20 ) ) @ ( op1 @ ( j @ e23 ) @ ( j @ e20 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( j @ ( op2 @ e23 @ e21 ) ) @ ( op1 @ ( j @ e23 ) @ ( j @ e21 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( j @ ( op2 @ e23 @ e22 ) ) @ ( op1 @ ( j @ e23 ) @ ( j @ e22 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( j @ ( op2 @ e23 @ e23 ) ) @ ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h @ ( j @ e20 ) ) @ e20 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h @ ( j @ e21 ) ) @ e21 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h @ ( j @ e22 ) ) @ e22 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( h @ ( j @ e23 ) ) @ e23 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( j @ ( h @ e10 ) ) @ e10 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( j @ ( h @ e11 ) ) @ e11 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( j @ ( h @ e12 ) ) @ e12 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( j @ ( h @ e13 ) ) @ e13 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.22/0.55
% 0.22/0.55 %------------------------------------------------------------------------------
% 0.22/0.55 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.tQkQ1EW4MP/cvc5---1.0.5_31637.p...
% 0.22/0.55 (declare-sort $$unsorted 0)
% 0.22/0.55 (declare-sort tptp.mu 0)
% 0.22/0.55 (declare-fun tptp.qmltpeq (tptp.mu tptp.mu $$unsorted) Bool)
% 0.22/0.55 (declare-fun tptp.meq_prop ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.22/0.55 (assert (= tptp.meq_prop (lambda ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool)) (W $$unsorted)) (= (@ X W) (@ Y W)))))
% 0.22/0.55 (declare-fun tptp.mnot ((-> $$unsorted Bool) $$unsorted) Bool)
% 0.22/0.55 (assert (= tptp.mnot (lambda ((Phi (-> $$unsorted Bool)) (W $$unsorted)) (not (@ Phi W)))))
% 0.22/0.55 (declare-fun tptp.mor ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.22/0.55 (assert (= tptp.mor (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (W $$unsorted)) (or (@ Phi W) (@ Psi W)))))
% 0.22/0.55 (declare-fun tptp.mbox ((-> $$unsorted $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.22/0.55 (assert (= tptp.mbox (lambda ((R (-> $$unsorted $$unsorted Bool)) (Phi (-> $$unsorted Bool)) (W $$unsorted)) (forall ((V $$unsorted)) (or (not (@ (@ R W) V)) (@ Phi V))))))
% 0.22/0.55 (declare-fun tptp.mforall_prop ((-> (-> $$unsorted Bool) $$unsorted Bool) $$unsorted) Bool)
% 0.22/0.55 (assert (= tptp.mforall_prop (lambda ((Phi (-> (-> $$unsorted Bool) $$unsorted Bool)) (W $$unsorted)) (forall ((P (-> $$unsorted Bool))) (@ (@ Phi P) W)))))
% 0.22/0.55 (declare-fun tptp.mtrue ($$unsorted) Bool)
% 0.22/0.55 (assert (= tptp.mtrue (lambda ((W $$unsorted)) true)))
% 0.22/0.55 (declare-fun tptp.mfalse ($$unsorted) Bool)
% 0.22/0.55 (assert (= tptp.mfalse (@ tptp.mnot tptp.mtrue)))
% 0.22/0.55 (declare-fun tptp.mand ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.22/0.55 (assert (= tptp.mand (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mor (@ tptp.mnot Phi)) (@ tptp.mnot Psi))) __flatten_var_0))))
% 0.22/0.55 (declare-fun tptp.mimplies ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.22/0.55 (assert (= tptp.mimplies (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mor (@ tptp.mnot Phi)) Psi) __flatten_var_0))))
% 0.22/0.55 (declare-fun tptp.mimplied ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.22/0.55 (assert (= tptp.mimplied (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mor (@ tptp.mnot Psi)) Phi) __flatten_var_0))))
% 0.22/0.55 (declare-fun tptp.mequiv ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.22/0.55 (assert (= tptp.mequiv (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mand (@ (@ tptp.mimplies Phi) Psi)) (@ (@ tptp.mimplies Psi) Phi)) __flatten_var_0))))
% 0.22/0.55 (declare-fun tptp.mxor ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.22/0.55 (assert (= tptp.mxor (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mequiv Phi) Psi)) __flatten_var_0))))
% 0.22/0.55 (declare-fun tptp.mdia ((-> $$unsorted $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.22/0.55 (assert (= tptp.mdia (lambda ((R (-> $$unsorted $$unsorted Bool)) (Phi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mbox R) (@ tptp.mnot Phi))) __flatten_var_0))))
% 0.22/0.55 (declare-fun tptp.exists_in_world (tptp.mu $$unsorted) Bool)
% 0.22/0.55 (assert (forall ((V $$unsorted)) (exists ((X tptp.mu)) (@ (@ tptp.exists_in_world X) V))))
% 0.22/0.55 (declare-fun tptp.mforall_ind ((-> tptp.mu $$unsorted Bool) $$unsorted) Bool)
% 0.22/0.55 (assert (= tptp.mforall_ind (lambda ((Phi (-> tptp.mu $$unsorted Bool)) (W $$unsorted)) (forall ((X tptp.mu)) (=> (@ (@ tptp.exists_in_world X) W) (@ (@ Phi X) W))))))
% 0.22/0.55 (declare-fun tptp.mexists_ind ((-> tptp.mu $$unsorted Bool) $$unsorted) Bool)
% 0.22/0.55 (assert (= tptp.mexists_ind (lambda ((Phi (-> tptp.mu $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ Phi X)) __flatten_var_0)))) __flatten_var_0))))
% 0.22/0.55 (declare-fun tptp.mexists_prop ((-> (-> $$unsorted Bool) $$unsorted Bool) $$unsorted) Bool)
% 0.22/0.55 (assert (= tptp.mexists_prop (lambda ((Phi (-> (-> $$unsorted Bool) $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ tptp.mforall_prop (lambda ((P (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ Phi P)) __flatten_var_0)))) __flatten_var_0))))
% 0.22/0.55 (declare-fun tptp.mreflexive ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.22/0.55 (assert (= tptp.mreflexive (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (@ (@ R S) S)))))
% 0.22/0.55 (declare-fun tptp.msymmetric ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.22/0.55 (assert (= tptp.msymmetric (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted)) (=> (@ (@ R S) T) (@ (@ R T) S))))))
% 0.22/0.55 (declare-fun tptp.mserial ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.22/0.55 (assert (= tptp.mserial (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (exists ((T $$unsorted)) (@ (@ R S) T))))))
% 0.22/0.55 (declare-fun tptp.mtransitive ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.22/0.55 (assert (= tptp.mtransitive (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ (@ R T) U)) (@ _let_1 U)))))))
% 0.22/0.55 (declare-fun tptp.meuclidean ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.22/0.55 (assert (= tptp.meuclidean (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (@ (@ R T) U)))))))
% 0.22/0.55 (declare-fun tptp.mpartially_functional ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.22/0.55 (assert (= tptp.mpartially_functional (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (= T U)))))))
% 0.22/0.55 (declare-fun tptp.mfunctional ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.22/0.55 (assert (= tptp.mfunctional (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (exists ((T $$unsorted)) (and (@ (@ R S) T) (forall ((U $$unsorted)) (=> (@ (@ R S) U) (= T U)))))))))
% 0.22/0.55 (declare-fun tptp.mweakly_dense ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.22/0.55 (assert (= tptp.mweakly_dense (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (=> (@ (@ R S) T) (exists ((U $$unsorted)) (and (@ (@ R S) U) (@ (@ R U) T))))))))
% 0.22/0.55 (declare-fun tptp.mweakly_connected ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.22/0.55 (assert (= tptp.mweakly_connected (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (or (@ (@ R T) U) (= T U) (@ (@ R U) T))))))))
% 0.22/0.55 (declare-fun tptp.mweakly_directed ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.22/0.55 (assert (= tptp.mweakly_directed (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (exists ((V $$unsorted)) (and (@ (@ R T) V) (@ (@ R U) V)))))))))
% 0.22/0.55 (declare-fun tptp.mvalid ((-> $$unsorted Bool)) Bool)
% 0.22/0.55 (assert (= tptp.mvalid (lambda ((Phi (-> $$unsorted Bool))) (forall ((W $$unsorted)) (@ Phi W)))))
% 0.22/0.55 (declare-fun tptp.msatisfiable ((-> $$unsorted Bool)) Bool)
% 0.22/0.55 (assert (= tptp.msatisfiable (lambda ((Phi (-> $$unsorted Bool))) (exists ((W $$unsorted)) (@ Phi W)))))
% 0.22/0.55 (declare-fun tptp.mcountersatisfiable ((-> $$unsorted Bool)) Bool)
% 0.22/0.55 (assert (= tptp.mcountersatisfiable (lambda ((Phi (-> $$unsorted Bool))) (exists ((W $$unsorted)) (not (@ Phi W))))))
% 0.22/0.55 (declare-fun tptp.minvalid ((-> $$unsorted Bool)) Bool)
% 0.22/0.55 (assert (= tptp.minvalid (lambda ((Phi (-> $$unsorted Bool))) (forall ((W $$unsorted)) (not (@ Phi W))))))
% 0.22/0.55 (declare-fun tptp.rel_s4 ($$unsorted $$unsorted) Bool)
% 0.22/0.55 (declare-fun tptp.mbox_s4 ((-> $$unsorted Bool) $$unsorted) Bool)
% 0.22/0.55 (assert (= tptp.mbox_s4 (lambda ((Phi (-> $$unsorted Bool)) (W $$unsorted)) (forall ((V $$unsorted)) (or (not (@ (@ tptp.rel_s4 W) V)) (@ Phi V))))))
% 0.22/0.55 (declare-fun tptp.mdia_s4 ((-> $$unsorted Bool) $$unsorted) Bool)
% 0.22/0.55 (assert (= tptp.mdia_s4 (lambda ((Phi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ tptp.mbox_s4 (@ tptp.mnot Phi))) __flatten_var_0))))
% 0.22/0.55 (assert (@ tptp.mreflexive tptp.rel_s4))
% 0.22/0.55 (assert (@ tptp.mtransitive tptp.rel_s4))
% 0.22/0.55 (assert (forall ((X tptp.mu) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (@ tptp.exists_in_world X))) (=> (and (@ _let_1 V) (@ (@ tptp.rel_s4 V) W)) (@ _let_1 W)))))
% 0.22/0.55 (declare-fun tptp.op2 (tptp.mu tptp.mu) tptp.mu)
% 0.22/0.55 (assert (forall ((V $$unsorted) (V2 tptp.mu) (V1 tptp.mu)) (@ (@ tptp.exists_in_world (@ (@ tptp.op2 V2) V1)) V)))
% 0.22/0.55 (declare-fun tptp.op1 (tptp.mu tptp.mu) tptp.mu)
% 0.22/0.55 (assert (forall ((V $$unsorted) (V2 tptp.mu) (V1 tptp.mu)) (@ (@ tptp.exists_in_world (@ (@ tptp.op1 V2) V1)) V)))
% 0.22/0.55 (declare-fun tptp.j (tptp.mu) tptp.mu)
% 0.22/0.55 (assert (forall ((V $$unsorted) (V1 tptp.mu)) (@ (@ tptp.exists_in_world (@ tptp.j V1)) V)))
% 0.22/0.55 (declare-fun tptp.e13 () tptp.mu)
% 0.22/0.55 (assert (forall ((V $$unsorted)) (@ (@ tptp.exists_in_world tptp.e13) V)))
% 0.22/0.55 (declare-fun tptp.e12 () tptp.mu)
% 0.22/0.55 (assert (forall ((V $$unsorted)) (@ (@ tptp.exists_in_world tptp.e12) V)))
% 0.22/0.55 (declare-fun tptp.e11 () tptp.mu)
% 0.22/0.55 (assert (forall ((V $$unsorted)) (@ (@ tptp.exists_in_world tptp.e11) V)))
% 0.22/0.55 (declare-fun tptp.e23 () tptp.mu)
% 0.22/0.55 (assert (forall ((V $$unsorted)) (@ (@ tptp.exists_in_world tptp.e23) V)))
% 0.22/0.55 (declare-fun tptp.e22 () tptp.mu)
% 0.22/0.55 (assert (forall ((V $$unsorted)) (@ (@ tptp.exists_in_world tptp.e22) V)))
% 0.22/0.55 (declare-fun tptp.e21 () tptp.mu)
% 0.22/0.55 (assert (forall ((V $$unsorted)) (@ (@ tptp.exists_in_world tptp.e21) V)))
% 0.22/0.55 (declare-fun tptp.e20 () tptp.mu)
% 0.22/0.55 (assert (forall ((V $$unsorted)) (@ (@ tptp.exists_in_world tptp.e20) V)))
% 0.22/0.55 (declare-fun tptp.e10 () tptp.mu)
% 0.22/0.55 (assert (forall ((V $$unsorted)) (@ (@ tptp.exists_in_world tptp.e10) V)))
% 0.22/0.55 (declare-fun tptp.h (tptp.mu) tptp.mu)
% 0.22/0.55 (assert (forall ((V $$unsorted) (V1 tptp.mu)) (@ (@ tptp.exists_in_world (@ tptp.h V1)) V)))
% 0.22/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq X) X)) __flatten_var_0))))))
% 0.22/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((Y tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq X) Y))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq Y) X)))) __flatten_var_0)))) __flatten_var_0))))))
% 0.22/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((Y tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((Z tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.qmltpeq X))) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ tptp.mbox_s4 (@ _let_1 Y))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq Y) Z)))) (@ tptp.mbox_s4 (@ _let_1 Z)))) __flatten_var_0))))) __flatten_var_0)))) __flatten_var_0))))))
% 0.22/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h A)) (@ tptp.h B))))) __flatten_var_0)))) __flatten_var_0))))))
% 0.22/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j A)) (@ tptp.j B))))) __flatten_var_0)))) __flatten_var_0))))))
% 0.22/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ tptp.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))))))
% 0.22/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.op1 C))) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq A) B))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_1 A)) (@ _let_1 B))))) __flatten_var_0))))) __flatten_var_0)))) __flatten_var_0))))))
% 0.22/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ tptp.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))))))
% 0.22/0.55 (assert (@ tptp.mvalid (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((A tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((B tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mbox_s4 (@ tptp.mforall_ind (lambda ((C tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.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))))))
% 0.22/0.55 (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)))))))))))))
% 0.22/0.55 (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)))))))))))))
% 0.22/0.55 (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)))))))))))))))))))))))))
% 0.22/0.55 (assert (let ((_let_1 (@ tptp.op1 tptp.e13))) (let ((_let_2 (@ tptp.op1 tptp.e12))) (let ((_let_3 (@ tptp.op1 tptp.e11))) (let ((_let_4 (@ tptp.op1 tptp.e10))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_4 tptp.e10)) tptp.e10))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_4 tptp.e11)) tptp.e11))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_4 tptp.e12)) tptp.e12))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_4 tptp.e13)) tptp.e13))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_3 tptp.e10)) tptp.e11))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_3 tptp.e11)) tptp.e10))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_3 tptp.e12)) tptp.e13))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_3 tptp.e13)) tptp.e12))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_2 tptp.e10)) tptp.e12))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_2 tptp.e11)) tptp.e13))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_2 tptp.e12)) tptp.e10))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_2 tptp.e13)) tptp.e11))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_1 tptp.e10)) tptp.e13))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_1 tptp.e11)) tptp.e12))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_1 tptp.e12)) tptp.e11))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_1 tptp.e13)) tptp.e10)))))))))))))))))))))))
% 0.22/0.55 (assert (let ((_let_1 (@ tptp.op2 tptp.e23))) (let ((_let_2 (@ tptp.op2 tptp.e22))) (let ((_let_3 (@ tptp.op2 tptp.e21))) (let ((_let_4 (@ tptp.op2 tptp.e20))) (@ tptp.mvalid (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_4 tptp.e20)) tptp.e20))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_4 tptp.e21)) tptp.e21))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_4 tptp.e22)) tptp.e22))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_4 tptp.e23)) tptp.e23))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_3 tptp.e20)) tptp.e21))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_3 tptp.e21)) tptp.e23))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_3 tptp.e22)) tptp.e20))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_3 tptp.e23)) tptp.e22))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_2 tptp.e20)) tptp.e22))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_2 tptp.e21)) tptp.e20))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_2 tptp.e22)) tptp.e23))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_2 tptp.e23)) tptp.e21))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_1 tptp.e20)) tptp.e23))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_1 tptp.e21)) tptp.e22))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_1 tptp.e22)) tptp.e21))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ _let_1 tptp.e23)) tptp.e20)))))))))))))))))))))))
% 0.22/0.55 (assert (let ((_let_1 (@ tptp.h tptp.e13))) (let ((_let_2 (@ tptp.h tptp.e12))) (let ((_let_3 (@ tptp.h tptp.e11))) (let ((_let_4 (@ tptp.h tptp.e10))) (let ((_let_5 (@ tptp.j tptp.e23))) (let ((_let_6 (@ tptp.j tptp.e22))) (let ((_let_7 (@ tptp.j tptp.e21))) (let ((_let_8 (@ tptp.j tptp.e20))) (let ((_let_9 (@ tptp.op1 _let_5))) (let ((_let_10 (@ tptp.op2 tptp.e23))) (let ((_let_11 (@ tptp.op1 _let_6))) (let ((_let_12 (@ tptp.op2 tptp.e22))) (let ((_let_13 (@ tptp.op1 _let_7))) (let ((_let_14 (@ tptp.op2 tptp.e21))) (let ((_let_15 (@ tptp.op1 _let_8))) (let ((_let_16 (@ tptp.op2 tptp.e20))) (let ((_let_17 (@ tptp.op2 _let_1))) (let ((_let_18 (@ tptp.op1 tptp.e13))) (let ((_let_19 (@ tptp.op2 _let_2))) (let ((_let_20 (@ tptp.op1 tptp.e12))) (let ((_let_21 (@ tptp.op2 _let_3))) (let ((_let_22 (@ tptp.op1 tptp.e11))) (let ((_let_23 (@ tptp.op2 _let_4))) (let ((_let_24 (@ tptp.op1 tptp.e10))) (let ((_let_25 (@ tptp.qmltpeq _let_5))) (let ((_let_26 (@ tptp.qmltpeq _let_6))) (let ((_let_27 (@ tptp.qmltpeq _let_7))) (let ((_let_28 (@ tptp.qmltpeq _let_8))) (let ((_let_29 (@ tptp.qmltpeq _let_1))) (let ((_let_30 (@ tptp.qmltpeq _let_2))) (let ((_let_31 (@ tptp.qmltpeq _let_3))) (let ((_let_32 (@ tptp.qmltpeq _let_4))) (not (@ tptp.mvalid (@ tptp.mbox_s4 (@ (@ tptp.mimplies (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_32 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_32 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_32 tptp.e22))) (@ tptp.mbox_s4 (@ _let_32 tptp.e23)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_31 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_31 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_31 tptp.e22))) (@ tptp.mbox_s4 (@ _let_31 tptp.e23)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_30 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_30 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_30 tptp.e22))) (@ tptp.mbox_s4 (@ _let_30 tptp.e23)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_29 tptp.e20))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_29 tptp.e21))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_29 tptp.e22))) (@ tptp.mbox_s4 (@ _let_29 tptp.e23)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_28 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_28 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_28 tptp.e12))) (@ tptp.mbox_s4 (@ _let_28 tptp.e13)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_27 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_27 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_27 tptp.e12))) (@ tptp.mbox_s4 (@ _let_27 tptp.e13)))))) (@ (@ tptp.mand (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_26 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_26 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_26 tptp.e12))) (@ tptp.mbox_s4 (@ _let_26 tptp.e13)))))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_25 tptp.e10))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_25 tptp.e11))) (@ (@ tptp.mor (@ tptp.mbox_s4 (@ _let_25 tptp.e12))) (@ tptp.mbox_s4 (@ _let_25 tptp.e13))))))))))))) (@ tptp.mbox_s4 (@ tptp.mnot (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h (@ _let_24 tptp.e10))) (@ _let_23 _let_4)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h (@ _let_24 tptp.e11))) (@ _let_23 _let_3)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h (@ _let_24 tptp.e12))) (@ _let_23 _let_2)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h (@ _let_24 tptp.e13))) (@ _let_23 _let_1)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h (@ _let_22 tptp.e10))) (@ _let_21 _let_4)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h (@ _let_22 tptp.e11))) (@ _let_21 _let_3)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h (@ _let_22 tptp.e12))) (@ _let_21 _let_2)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h (@ _let_22 tptp.e13))) (@ _let_21 _let_1)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h (@ _let_20 tptp.e10))) (@ _let_19 _let_4)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h (@ _let_20 tptp.e11))) (@ _let_19 _let_3)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h (@ _let_20 tptp.e12))) (@ _let_19 _let_2)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h (@ _let_20 tptp.e13))) (@ _let_19 _let_1)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h (@ _let_18 tptp.e10))) (@ _let_17 _let_4)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h (@ _let_18 tptp.e11))) (@ _let_17 _let_3)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h (@ _let_18 tptp.e12))) (@ _let_17 _let_2)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h (@ _let_18 tptp.e13))) (@ _let_17 _let_1)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j (@ _let_16 tptp.e20))) (@ _let_15 _let_8)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j (@ _let_16 tptp.e21))) (@ _let_15 _let_7)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j (@ _let_16 tptp.e22))) (@ _let_15 _let_6)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j (@ _let_16 tptp.e23))) (@ _let_15 _let_5)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j (@ _let_14 tptp.e20))) (@ _let_13 _let_8)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j (@ _let_14 tptp.e21))) (@ _let_13 _let_7)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j (@ _let_14 tptp.e22))) (@ _let_13 _let_6)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j (@ _let_14 tptp.e23))) (@ _let_13 _let_5)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j (@ _let_12 tptp.e20))) (@ _let_11 _let_8)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j (@ _let_12 tptp.e21))) (@ _let_11 _let_7)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j (@ _let_12 tptp.e22))) (@ _let_11 _let_6)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j (@ _let_12 tptp.e23))) (@ _let_11 _let_5)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j (@ _let_10 tptp.e20))) (@ _let_9 _let_8)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j (@ _let_10 tptp.e21))) (@ _let_9 _let_7)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j (@ _let_10 tptp.e22))) (@ _let_9 _let_6)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j (@ _let_10 tptp.e23))) (@ _let_9 _let_5)))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h _let_8)) tptp.e20))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h _let_7)) tptp.e21))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h _let_6)) tptp.e22))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.h _let_5)) tptp.e23))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j _let_4)) tptp.e10))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j _let_3)) tptp.e11))) (@ (@ tptp.mand (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j _let_2)) tptp.e12))) (@ tptp.mbox_s4 (@ (@ tptp.qmltpeq (@ tptp.j _let_1)) tptp.e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.17/10.59 (set-info :filename cvc5---1.0.5_31637)
% 10.17/10.59 (check-sat-assuming ( true ))
% 10.17/10.59 ------- get file name : TPTP file name is ALG020^7
% 10.17/10.59 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31637.smt2...
% 10.17/10.59 --- Run --ho-elim --full-saturate-quant at 10...
% 10.17/10.59 --- Run --ho-elim --no-e-matching --full-scvc5 interrupted by timeout.
% 300.07/290.58 /export/starexec/sandbox2/solver/bin/do_THM_THF: line 35: 2320 CPU time limit exceeded (core dumped) ( read result; case "$result" in
% 300.07/290.58 unsat)
% 300.07/290.58 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 300.07/290.58 ;;
% 300.07/290.58 sat)
% 300.07/290.58 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 300.07/290.58 ;;
% 300.07/290.58 esac; exit 1 )
% 300.07/290.59 Cputime limit exceeded (core dumped) (core dumped)
% 300.07/290.59 % cvc5---1.0.5 exiting
% 300.07/290.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------