TSTP Solution File: AGT033^2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : AGT033^2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 15:53:00 EDT 2023

% Result   : CounterSatisfiable 35.63s 36.19s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : AGT033^2 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun Aug 27 17:10:35 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TH0
% 0.21/0.49  %------------------------------------------------------------------------------
% 0.21/0.49  % File     : AGT033^2 : TPTP v8.1.2. Released v5.2.0.
% 0.21/0.49  % Domain   : Agents
% 0.21/0.49  % Problem  : Someone possibly likes someone else
% 0.21/0.49  % Version  : [Ben11] axioms : Reduced > Complete.
% 0.21/0.49  % English  :
% 0.21/0.49  
% 0.21/0.49  % Refs     : [Ben11] Benzmueller (2011), Email to Geoff Sutcliffe
% 0.21/0.49  %          : [Ben11] Benzmueller (2011), Combining and Automating Classical
% 0.21/0.49  % Source   : [Ben11]
% 0.21/0.49  % Names    : Ex_12_3_K [Ben11]
% 0.21/0.49  
% 0.21/0.49  % Status   : Theorem
% 0.21/0.49  % Rating   : 0.23 v8.1.0, 0.18 v7.5.0, 0.14 v7.4.0, 0.33 v7.2.0, 0.25 .0, 0.50 v7.0.0, 0.43 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.40 v5.3.0, 0.80 v5.2.0
% 0.21/0.49  % Syntax   : Number of formulae    :   93 (  31 unt;  43 typ;  31 def)
% 0.21/0.49  %            Number of atoms       :  216 (  36 equ;   0 cnn)
% 0.21/0.49  %            Maximal formula atoms :   16 (   4 avg)
% 0.21/0.49  %            Number of connectives :  290 (   4   ~;   4   |;   8   &; 266   @)
% 0.21/0.49  %                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
% 0.21/0.49  %            Maximal formula depth :   15 (   4 avg)
% 0.21/0.49  %            Number of types       :    3 (   1 usr)
% 0.21/0.49  %            Number of type conns  :  183 ( 183   >;   0   *;   0   +;   0  <<)
% 0.21/0.49  %            Number of symbols     :   51 (  49 usr;  13 con; 0-3 aty)
% 0.21/0.49  %            Number of variables   :  102 (  67   ^;  29   !;   6   ?; 102   :)
% 0.21/0.49  % SPC      : TH0_THM_EQU_NAR
% 0.21/0.49  
% 0.21/0.49  % Comments : 
% 0.21/0.49  %------------------------------------------------------------------------------
% 0.21/0.49  %----Include embedding of quantified multimodal logic in simple type theory
% 0.21/0.49  %------------------------------------------------------------------------------
% 0.21/0.49  %----Declaration of additional base type mu
% 0.21/0.49  thf(mu_type,type,
% 0.21/0.49      mu: $tType ).
% 0.21/0.49  
% 0.21/0.49  %----Equality
% 0.21/0.49  thf(meq_ind_type,type,
% 0.21/0.49      meq_ind: mu > mu > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(meq_ind,definition,
% 0.21/0.49      ( meq_ind
% 0.21/0.49      = ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(meq_prop_type,type,
% 0.21/0.49      meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(meq_prop,definition,
% 0.21/0.49      ( meq_prop
% 0.21/0.49      = ( ^ [X: $i > $o,Y: $i > $o,W: $i] :
% 0.21/0.49            ( ( X @ W )
% 0.21/0.49            = ( Y @ W ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  %----Modal operators not, or, box, Pi 
% 0.21/0.49  thf(mnot_type,type,
% 0.21/0.49      mnot: ( $i > $o ) > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mnot,definition,
% 0.21/0.49      ( mnot
% 0.21/0.49      = ( ^ [Phi: $i > $o,W: $i] :
% 0.21/0.49            ~ ( Phi @ W ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(mor_type,type,
% 0.21/0.49      mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mor,definition,
% 0.21/0.49      ( mor
% 0.21/0.49      = ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
% 0.21/0.49            ( ( Phi @ W )
% 0.21/0.49            | ( Psi @ W ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(mand_type,type,
% 0.21/0.49      mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mand,definition,
% 0.21/0.49      ( mand
% 0.21/0.49      = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(mimplies_type,type,
% 0.21/0.49      mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mimplies,definition,
% 0.21/0.49      ( mimplies
% 0.21/0.49      = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(mimplied_type,type,
% 0.21/0.49      mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mimplied,definition,
% 0.21/0.49      ( mimplied
% 0.21/0.49      = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(mequiv_type,type,
% 0.21/0.49      mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mequiv,definition,
% 0.21/0.49      ( mequiv
% 0.21/0.49      = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(mxor_type,type,
% 0.21/0.49      mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mxor,definition,
% 0.21/0.49      ( mxor
% 0.21/0.49      = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  %----Universal quantification: individuals
% 0.21/0.49  thf(mforall_ind_type,type,
% 0.21/0.49      mforall_ind: ( mu > $i > $o ) > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mforall_ind,definition,
% 0.21/0.49      ( mforall_ind
% 0.21/0.49      = ( ^ [Phi: mu > $i > $o,W: $i] :
% 0.21/0.49          ! [X: mu] : ( Phi @ X @ W ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(mforall_prop_type,type,
% 0.21/0.49      mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mforall_prop,definition,
% 0.21/0.49      ( mforall_prop
% 0.21/0.49      = ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
% 0.21/0.49          ! [P: $i > $o] : ( Phi @ P @ W ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(mexists_ind_type,type,
% 0.21/0.49      mexists_ind: ( mu > $i > $o ) > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mexists_ind,definition,
% 0.21/0.49      ( mexists_ind
% 0.21/0.49      = ( ^ [Phi: mu > $i > $o] :
% 0.21/0.49            ( mnot
% 0.21/0.49            @ ( mforall_ind
% 0.21/0.49              @ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(mexists_prop_type,type,
% 0.21/0.49      mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mexists_prop,definition,
% 0.21/0.49      ( mexists_prop
% 0.21/0.49      = ( ^ [Phi: ( $i > $o ) > $i > $o] :
% 0.21/0.49            ( mnot
% 0.21/0.49            @ ( mforall_prop
% 0.21/0.49              @ ^ [P: $i > $o] : ( mnot @ ( Phi @ P ) ) ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(mtrue_type,type,
% 0.21/0.49      mtrue: $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mtrue,definition,
% 0.21/0.49      ( mtrue
% 0.21/0.49      = ( ^ [W: $i] : $true ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(mfalse_type,type,
% 0.21/0.49      mfalse: $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mfalse,definition,
% 0.21/0.49      ( mfalse
% 0.21/0.49      = ( mnot @ mtrue ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(mbox_type,type,
% 0.21/0.49      mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mbox,definition,
% 0.21/0.49      ( mbox
% 0.21/0.49      = ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
% 0.21/0.49          ! [V: $i] :
% 0.21/0.49            ( ~ ( R @ W @ V )
% 0.21/0.49            | ( Phi @ V ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(mdia_type,type,
% 0.21/0.49      mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mdia,definition,
% 0.21/0.49      ( mdia
% 0.21/0.49      = ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  %----Definition of properties of accessibility relations
% 0.21/0.49  thf(mreflexive_type,type,
% 0.21/0.49      mreflexive: ( $i > $i > $o ) > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mreflexive,definition,
% 0.21/0.49      ( mreflexive
% 0.21/0.49      = ( ^ [R: $i > $i > $o] :
% 0.21/0.49          ! [S: $i] : ( R @ S @ S ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(msymmetric_type,type,
% 0.21/0.49      msymmetric: ( $i > $i > $o ) > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(msymmetric,definition,
% 0.21/0.49      ( msymmetric
% 0.21/0.49      = ( ^ [R: $i > $i > $o] :
% 0.21/0.49          ! [S: $i,T: $i] :
% 0.21/0.49            ( ( R @ S @ T )
% 0.21/0.49           => ( R @ T @ S ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(mserial_type,type,
% 0.21/0.49      mserial: ( $i > $i > $o ) > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mserial,definition,
% 0.21/0.49      ( mserial
% 0.21/0.49      = ( ^ [R: $i > $i > $o] :
% 0.21/0.49          ! [S: $i] :
% 0.21/0.49          ? [T: $i] : ( R @ S @ T ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(mtransitive_type,type,
% 0.21/0.49      mtransitive: ( $i > $i > $o ) > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mtransitive,definition,
% 0.21/0.49      ( mtransitive
% 0.21/0.49      = ( ^ [R: $i > $i > $o] :
% 0.21/0.49          ! [S: $i,T: $i,U: $i] :
% 0.21/0.49            ( ( ( R @ S @ T )
% 0.21/0.49              & ( R @ T @ U ) )
% 0.21/0.49           => ( R @ S @ U ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(meuclidean_type,type,
% 0.21/0.49      meuclidean: ( $i > $i > $o ) > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(meuclidean,definition,
% 0.21/0.49      ( meuclidean
% 0.21/0.49      = ( ^ [R: $i > $i > $o] :
% 0.21/0.49          ! [S: $i,T: $i,U: $i] :
% 0.21/0.49            ( ( ( R @ S @ T )
% 0.21/0.49              & ( R @ S @ U ) )
% 0.21/0.49           => ( R @ T @ U ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(mpartially_functional_type,type,
% 0.21/0.49      mpartially_functional: ( $i > $i > $o ) > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mpartially_functional,definition,
% 0.21/0.49      ( mpartially_functional
% 0.21/0.49      = ( ^ [R: $i > $i > $o] :
% 0.21/0.49          ! [S: $i,T: $i,U: $i] :
% 0.21/0.49            ( ( ( R @ S @ T )
% 0.21/0.49              & ( R @ S @ U ) )
% 0.21/0.49           => ( T = U ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(mfunctional_type,type,
% 0.21/0.49      mfunctional: ( $i > $i > $o ) > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mfunctional,definition,
% 0.21/0.49      ( mfunctional
% 0.21/0.49      = ( ^ [R: $i > $i > $o] :
% 0.21/0.49          ! [S: $i] :
% 0.21/0.49          ? [T: $i] :
% 0.21/0.49            ( ( R @ S @ T )
% 0.21/0.49            & ! [U: $i] :
% 0.21/0.49                ( ( R @ S @ U )
% 0.21/0.49               => ( T = U ) ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(mweakly_dense_type,type,
% 0.21/0.49      mweakly_dense: ( $i > $i > $o ) > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mweakly_dense,definition,
% 0.21/0.49      ( mweakly_dense
% 0.21/0.49      = ( ^ [R: $i > $i > $o] :
% 0.21/0.49          ! [S: $i,T: $i,U: $i] :
% 0.21/0.49            ( ( R @ S @ T )
% 0.21/0.49           => ? [U: $i] :
% 0.21/0.49                ( ( R @ S @ U )
% 0.21/0.49                & ( R @ U @ T ) ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(mweakly_connected_type,type,
% 0.21/0.49      mweakly_connected: ( $i > $i > $o ) > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mweakly_connected,definition,
% 0.21/0.49      ( mweakly_connected
% 0.21/0.49      = ( ^ [R: $i > $i > $o] :
% 0.21/0.49          ! [S: $i,T: $i,U: $i] :
% 0.21/0.49            ( ( ( R @ S @ T )
% 0.21/0.49              & ( R @ S @ U ) )
% 0.21/0.49           => ( ( R @ T @ U )
% 0.21/0.49              | ( T = U )
% 0.21/0.49              | ( R @ U @ T ) ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(mweakly_directed_type,type,
% 0.21/0.49      mweakly_directed: ( $i > $i > $o ) > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mweakly_directed,definition,
% 0.21/0.49      ( mweakly_directed
% 0.21/0.49      = ( ^ [R: $i > $i > $o] :
% 0.21/0.49          ! [S: $i,T: $i,U: $i] :
% 0.21/0.49            ( ( ( R @ S @ T )
% 0.21/0.49              & ( R @ S @ U ) )
% 0.21/0.49           => ? [V: $i] :
% 0.21/0.49                ( ( R @ T @ V )
% 0.21/0.49                & ( R @ U @ V ) ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  %----Definition of validity
% 0.21/0.49  thf(mvalid_type,type,
% 0.21/0.49      mvalid: ( $i > $o ) > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mvalid,definition,
% 0.21/0.49      ( mvalid
% 0.21/0.49      = ( ^ [Phi: $i > $o] :
% 0.21/0.49          ! [W: $i] : ( Phi @ W ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  %----Definition of invalidity
% 0.21/0.49  thf(minvalid_type,type,
% 0.21/0.49      minvalid: ( $i > $o ) > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(minvalid,definition,
% 0.21/0.49      ( minvalid
% 0.21/0.49      = ( ^ [Phi: $i > $o] :
% 0.21/0.49          ! [W: $i] :
% 0.21/0.49            ~ ( Phi @ W ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  %----Definition of satisfiability
% 0.21/0.49  thf(msatisfiable_type,type,
% 0.21/0.49      msatisfiable: ( $i > $o ) > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(msatisfiable,definition,
% 0.21/0.49      ( msatisfiable
% 0.21/0.49      = ( ^ [Phi: $i > $o] :
% 0.21/0.49          ? [W: $i] : ( Phi @ W ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  %----Definition of countersatisfiability
% 0.21/0.49  thf(mcountersatisfiable_type,type,
% 0.21/0.49      mcountersatisfiable: ( $i > $o ) > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(mcountersatisfiable,definition,
% 0.21/0.49      ( mcountersatisfiable
% 0.21/0.49      = ( ^ [Phi: $i > $o] :
% 0.21/0.49          ? [W: $i] :
% 0.21/0.49            ~ ( Phi @ W ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  %------------------------------------------------------------------------------
% 0.21/0.49  %------------------------------------------------------------------------------
% 0.21/0.49  thf(a1,type,
% 0.21/0.49      a1: $i > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(a2,type,
% 0.21/0.49      a2: $i > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(a3,type,
% 0.21/0.49      a3: $i > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(jan,type,
% 0.21/0.49      jan: mu ).
% 0.21/0.49  
% 0.21/0.49  thf(piotr,type,
% 0.21/0.49      piotr: mu ).
% 0.21/0.49  
% 0.21/0.49  thf(cola,type,
% 0.21/0.49      cola: mu ).
% 0.21/0.49  
% 0.21/0.49  thf(pepsi,type,
% 0.21/0.49      pepsi: mu ).
% 0.21/0.49  
% 0.21/0.49  thf(beer,type,
% 0.21/0.49      beer: mu ).
% 0.21/0.49  
% 0.21/0.49  thf(likes,type,
% 0.21/0.49      likes: mu > mu > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(very_much_likes,type,
% 0.21/0.49      very_much_likes: mu > mu > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(possibly_likes,type,
% 0.21/0.49      possibly_likes: mu > mu > $i > $o ).
% 0.21/0.49  
% 0.21/0.49  thf(axiom_a1_1,axiom,
% 0.21/0.49      mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(axiom_a1_2,axiom,
% 0.21/0.49      mvalid @ ( mbox @ a1 @ ( likes @ piotr @ pepsi ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(axiom_a1_3,axiom,
% 0.21/0.49      ( mvalid
% 0.21/0.49      @ ( mforall_ind
% 0.21/0.49        @ ^ [X: mu] : ( mbox @ a1 @ ( mimplies @ ( mdia @ a1 @ ( likes @ X @ pepsi ) ) @ ( likes @ X @ cola ) ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(axiom_a1_4,axiom,
% 0.21/0.49      ( mvalid
% 0.21/0.49      @ ( mforall_ind
% 0.21/0.49        @ ^ [X: mu] : ( mbox @ a1 @ ( mimplies @ ( mdia @ a1 @ ( likes @ X @ cola ) ) @ ( likes @ X @ pepsi ) ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(axiom_a2_1,axiom,
% 0.21/0.49      mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(axiom_a2_2,axiom,
% 0.21/0.49      mvalid @ ( mbox @ a1 @ ( likes @ piotr @ cola ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(axiom_a2_3,axiom,
% 0.21/0.49      mvalid @ ( mbox @ a1 @ ( likes @ piotr @ beer ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(axiom_a2_4,axiom,
% 0.21/0.49      ( mvalid
% 0.21/0.49      @ ( mforall_ind
% 0.21/0.49        @ ^ [X: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X @ pepsi ) @ ( likes @ X @ cola ) ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(axiom_a2_5,axiom,
% 0.21/0.49      ( mvalid
% 0.21/0.49      @ ( mforall_ind
% 0.21/0.49        @ ^ [X: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X @ cola ) @ ( likes @ X @ pepsi ) ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(axiom_a3_1,axiom,
% 0.21/0.49      mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(axiom_a3_2,axiom,
% 0.21/0.49      mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(axiom_a3_3,axiom,
% 0.21/0.49      mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(axiom_a3_4,axiom,
% 0.21/0.49      ( mvalid
% 0.21/0.49      @ ( mforall_ind
% 0.21/0.49        @ ^ [X: mu] :
% 0.21/0.49            ( mforall_ind
% 0.21/0.49            @ ^ [Y: mu] : ( mbox @ a3 @ ( mimplies @ ( mand @ ( likes @ X @ Y ) @ ( mand @ ( mbox @ a1 @ ( likes @ X @ Y ) ) @ ( mbox @ a2 @ ( likes @ X @ Y ) ) ) ) @ ( very_much_likes @ X @ Y ) ) ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(axiom_user_communication_1,axiom,
% 0.21/0.49      ( mvalid
% 0.21/0.49      @ ( mforall_ind
% 0.21/0.49        @ ^ [X: mu] :
% 0.21/0.49            ( mforall_ind
% 0.21/0.49            @ ^ [Y: mu] : ( mimplies @ ( mbox @ a3 @ ( very_much_likes @ X @ Y ) ) @ ( very_much_likes @ X @ Y ) ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(axiom_user_communication_2,axiom,
% 0.21/0.49      ( mvalid
% 0.21/0.49      @ ( mforall_ind
% 0.21/0.49        @ ^ [X: mu] :
% 0.21/0.49            ( mforall_ind
% 0.21/0.49            @ ^ [Y: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ X @ Y ) ) @ ( likes @ X @ Y ) ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(axiom_user_communication_3,axiom,
% 0.21/0.49      ( mvalid
% 0.21/0.49      @ ( mforall_ind
% 0.21/0.49        @ ^ [X: mu] :
% 0.21/0.49            ( mforall_ind
% 0.21/0.49            @ ^ [Y: mu] : ( mimplies @ ( mdia @ a1 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(axiom_user_communication_4,axiom,
% 0.21/0.49      ( mvalid
% 0.21/0.49      @ ( mforall_ind
% 0.21/0.49        @ ^ [X: mu] :
% 0.21/0.49            ( mforall_ind
% 0.21/0.49            @ ^ [Y: mu] : ( mimplies @ ( mdia @ a2 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(axiom_user_communication_5,axiom,
% 0.21/0.49      ( mvalid
% 0.21/0.49      @ ( mforall_ind
% 0.21/0.49        @ ^ [X: mu] :
% 0.21/0.49            ( mforall_ind
% 0.21/0.49            @ ^ [Y: mu] : ( mimplies @ ( mdia @ a3 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) ) ).
% 0.21/0.49  
% 0.21/0.49  thf(conj,conjecture,
% 0.21/0.49      ( mvalid
% 0.21/0.49      @ ( mexists_ind
% 0.21/0.49        @ ^ [X: mu] :
% 0.21/0.50            ( mexists_ind
% 0.21/0.50            @ ^ [Y: mu] : ( possibly_likes @ X @ Y ) ) ) ) ).
% 0.21/0.50  
% 0.21/0.50  %------------------------------------------------------------------------------
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Jg39Lnz7Wj/cvc5---1.0.5_12113.p...
% 0.21/0.50  (declare-sort $$unsorted 0)
% 0.21/0.50  (declare-sort tptp.mu 0)
% 0.21/0.50  (declare-fun tptp.meq_ind (tptp.mu tptp.mu $$unsorted) Bool)
% 0.21/0.50  (assert (= tptp.meq_ind (lambda ((X tptp.mu) (Y tptp.mu) (W $$unsorted)) (= X Y))))
% 0.21/0.50  (declare-fun tptp.meq_prop ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.50  (assert (= tptp.meq_prop (lambda ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool)) (W $$unsorted)) (= (@ X W) (@ Y W)))))
% 0.21/0.50  (declare-fun tptp.mnot ((-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.50  (assert (= tptp.mnot (lambda ((Phi (-> $$unsorted Bool)) (W $$unsorted)) (not (@ Phi W)))))
% 0.21/0.50  (declare-fun tptp.mor ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.50  (assert (= tptp.mor (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (W $$unsorted)) (or (@ Phi W) (@ Psi W)))))
% 0.21/0.50  (declare-fun tptp.mand ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.50  (assert (= tptp.mand (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mor (@ tptp.mnot Phi)) (@ tptp.mnot Psi))) __flatten_var_0))))
% 0.21/0.50  (declare-fun tptp.mimplies ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.50  (assert (= tptp.mimplies (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mor (@ tptp.mnot Phi)) Psi) __flatten_var_0))))
% 0.21/0.50  (declare-fun tptp.mimplied ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.50  (assert (= tptp.mimplied (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mor (@ tptp.mnot Psi)) Phi) __flatten_var_0))))
% 0.21/0.50  (declare-fun tptp.mequiv ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.50  (assert (= tptp.mequiv (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mand (@ (@ tptp.mimplies Phi) Psi)) (@ (@ tptp.mimplies Psi) Phi)) __flatten_var_0))))
% 0.21/0.50  (declare-fun tptp.mxor ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.50  (assert (= tptp.mxor (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mequiv Phi) Psi)) __flatten_var_0))))
% 0.21/0.50  (declare-fun tptp.mforall_ind ((-> tptp.mu $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.50  (assert (= tptp.mforall_ind (lambda ((Phi (-> tptp.mu $$unsorted Bool)) (W $$unsorted)) (forall ((X tptp.mu)) (@ (@ Phi X) W)))))
% 0.21/0.50  (declare-fun tptp.mforall_prop ((-> (-> $$unsorted Bool) $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.50  (assert (= tptp.mforall_prop (lambda ((Phi (-> (-> $$unsorted Bool) $$unsorted Bool)) (W $$unsorted)) (forall ((P (-> $$unsorted Bool))) (@ (@ Phi P) W)))))
% 0.21/0.50  (declare-fun tptp.mexists_ind ((-> tptp.mu $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.50  (assert (= tptp.mexists_ind (lambda ((Phi (-> tptp.mu $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ Phi X)) __flatten_var_0)))) __flatten_var_0))))
% 0.21/0.50  (declare-fun tptp.mexists_prop ((-> (-> $$unsorted Bool) $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.50  (assert (= tptp.mexists_prop (lambda ((Phi (-> (-> $$unsorted Bool) $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ tptp.mforall_prop (lambda ((P (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ Phi P)) __flatten_var_0)))) __flatten_var_0))))
% 0.21/0.50  (declare-fun tptp.mtrue ($$unsorted) Bool)
% 0.21/0.50  (assert (= tptp.mtrue (lambda ((W $$unsorted)) true)))
% 0.21/0.50  (declare-fun tptp.mfalse ($$unsorted) Bool)
% 0.21/0.50  (assert (= tptp.mfalse (@ tptp.mnot tptp.mtrue)))
% 0.21/0.50  (declare-fun tptp.mbox ((-> $$unsorted $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.50  (assert (= tptp.mbox (lambda ((R (-> $$unsorted $$unsorted Bool)) (Phi (-> $$unsorted Bool)) (W $$unsorted)) (forall ((V $$unsorted)) (or (not (@ (@ R W) V)) (@ Phi V))))))
% 0.21/0.50  (declare-fun tptp.mdia ((-> $$unsorted $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.21/0.50  (assert (= tptp.mdia (lambda ((R (-> $$unsorted $$unsorted Bool)) (Phi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mbox R) (@ tptp.mnot Phi))) __flatten_var_0))))
% 0.21/0.50  (declare-fun tptp.mreflexive ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.50  (assert (= tptp.mreflexive (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (@ (@ R S) S)))))
% 0.21/0.50  (declare-fun tptp.msymmetric ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.50  (assert (= tptp.msymmetric (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted)) (=> (@ (@ R S) T) (@ (@ R T) S))))))
% 0.21/0.50  (declare-fun tptp.mserial ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.50  (assert (= tptp.mserial (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (exists ((T $$unsorted)) (@ (@ R S) T))))))
% 0.21/0.50  (declare-fun tptp.mtransitive ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.50  (assert (= tptp.mtransitive (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ (@ R T) U)) (@ _let_1 U)))))))
% 0.21/0.50  (declare-fun tptp.meuclidean ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.50  (assert (= tptp.meuclidean (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (@ (@ R T) U)))))))
% 0.21/0.50  (declare-fun tptp.mpartially_functional ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.50  (assert (= tptp.mpartially_functional (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (= T U)))))))
% 0.21/0.50  (declare-fun tptp.mfunctional ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.50  (assert (= tptp.mfunctional (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (exists ((T $$unsorted)) (and (@ (@ R S) T) (forall ((U $$unsorted)) (=> (@ (@ R S) U) (= T U)))))))))
% 0.21/0.50  (declare-fun tptp.mweakly_dense ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.50  (assert (= tptp.mweakly_dense (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (=> (@ (@ R S) T) (exists ((U $$unsorted)) (and (@ (@ R S) U) (@ (@ R U) T))))))))
% 0.21/0.50  (declare-fun tptp.mweakly_connected ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.50  (assert (= tptp.mweakly_connected (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (or (@ (@ R T) U) (= T U) (@ (@ R U) T))))))))
% 0.21/0.50  (declare-fun tptp.mweakly_directed ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.21/0.50  (assert (= tptp.mweakly_directed (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (exists ((V $$unsorted)) (and (@ (@ R T) V) (@ (@ R U) V)))))))))
% 0.21/0.50  (declare-fun tptp.mvalid ((-> $$unsorted Bool)) Bool)
% 0.21/0.50  (assert (= tptp.mvalid (lambda ((Phi (-> $$unsorted Bool))) (forall ((W $$unsorted)) (@ Phi W)))))
% 0.21/0.50  (declare-fun tptp.minvalid ((-> $$unsorted Bool)) Bool)
% 0.21/0.50  (assert (= tptp.minvalid (lambda ((Phi (-> $$unsorted Bool))) (forall ((W $$unsorted)) (not (@ Phi W))))))
% 0.21/0.50  (declare-fun tptp.msatisfiable ((-> $$unsorted Bool)) Bool)
% 0.21/0.50  (assert (= tptp.msatisfiable (lambda ((Phi (-> $$unsorted Bool))) (exists ((W $$unsorted)) (@ Phi W)))))
% 0.21/0.50  (declare-fun tptp.mcountersatisfiable ((-> $$unsorted Bool)) Bool)
% 0.21/0.50  (assert (= tptp.mcountersatisfiable (lambda ((Phi (-> $$unsorted Bool))) (exists ((W $$unsorted)) (not (@ Phi W))))))
% 0.21/0.50  (declare-fun tptp.a1 ($$unsorted $$unsorted) Bool)
% 0.21/0.50  (declare-fun tptp.a2 ($$unsorted $$unsorted) Bool)
% 0.21/0.50  (declare-fun tptp.a3 ($$unsorted $$unsorted) Bool)
% 0.21/0.50  (declare-fun tptp.jan () tptp.mu)
% 0.21/0.50  (declare-fun tptp.piotr () tptp.mu)
% 0.21/0.50  (declare-fun tptp.cola () tptp.mu)
% 0.21/0.50  (declare-fun tptp.pepsi () tptp.mu)
% 0.21/0.50  (declare-fun tptp.beer () tptp.mu)
% 0.21/0.50  (declare-fun tptp.likes (tptp.mu tptp.mu $$unsorted) Bool)
% 0.21/0.50  (declare-fun tptp.very_much_likes (tptp.mu tptp.mu $$unsorted) Bool)
% 0.21/0.50  (declare-fun tptp.possibly_likes (tptp.mu tptp.mu $$unsorted) Bool)
% 0.21/0.50  (assert (@ tptp.mvalid (@ (@ tptp.mbox tptp.a1) (@ (@ tptp.likes tptp.jan) tptp.cola))))
% 0.21/0.50  (assert (@ tptp.mvalid (@ (@ tptp.mbox tptp.a1) (@ (@ tptp.likes tptp.piotr) tptp.pepsi))))
% 0.21/0.50  (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.likes X))) (@ (@ (@ tptp.mbox tptp.a1) (@ (@ tptp.mimplies (@ (@ tptp.mdia tptp.a1) (@ _let_1 tptp.pepsi))) (@ _let_1 tptp.cola))) __flatten_var_0))))))
% 0.21/0.50  (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.likes X))) (@ (@ (@ tptp.mbox tptp.a1) (@ (@ tptp.mimplies (@ (@ tptp.mdia tptp.a1) (@ _let_1 tptp.cola))) (@ _let_1 tptp.pepsi))) __flatten_var_0))))))
% 0.21/0.50  (assert (@ tptp.mvalid (@ (@ tptp.mbox tptp.a2) (@ (@ tptp.likes tptp.jan) tptp.pepsi))))
% 0.21/0.50  (assert (@ tptp.mvalid (@ (@ tptp.mbox tptp.a1) (@ (@ tptp.likes tptp.piotr) tptp.cola))))
% 0.21/0.50  (assert (@ tptp.mvalid (@ (@ tptp.mbox tptp.a1) (@ (@ tptp.likes tptp.piotr) tptp.beer))))
% 0.21/0.50  (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.likes X))) (@ (@ (@ tptp.mbox tptp.a2) (@ (@ tptp.mimplies (@ _let_1 tptp.pepsi)) (@ _let_1 tptp.cola))) __flatten_var_0))))))
% 0.21/0.50  (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.likes X))) (@ (@ (@ tptp.mbox tptp.a2) (@ (@ tptp.mimplies (@ _let_1 tptp.cola)) (@ _let_1 tptp.pepsi))) __flatten_var_0))))))
% 0.21/0.50  (assert (@ tptp.mvalid (@ (@ tptp.mbox tptp.a3) (@ (@ tptp.likes tptp.jan) tptp.cola))))
% 0.21/0.50  (assert (@ tptp.mvalid (@ (@ tptp.mdia tptp.a3) (@ (@ tptp.likes tptp.piotr) tptp.pepsi))))
% 0.21/0.50  (assert (@ tptp.mvalid (@ (@ tptp.mdia tptp.a1) (@ (@ tptp.likes tptp.piotr) tptp.beer))))
% 0.21/0.50  (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((Y tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ (@ tptp.likes X) Y))) (@ (@ (@ tptp.mbox tptp.a3) (@ (@ tptp.mimplies (@ (@ tptp.mand _let_1) (@ (@ tptp.mand (@ (@ tptp.mbox tptp.a1) _let_1)) (@ (@ tptp.mbox tptp.a2) _let_1)))) (@ (@ tptp.very_much_likes X) Y))) __flatten_var_0)))) __flatten_var_0)))))
% 0.21/0.50  (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((Y tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ (@ tptp.very_much_likes X) Y))) (@ (@ (@ tptp.mimplies (@ (@ tptp.mbox tptp.a3) _let_1)) _let_1) __flatten_var_0)))) __flatten_var_0)))))
% 0.21/0.50  (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((Y tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mdia tptp.a3) (@ (@ tptp.very_much_likes X) Y))) (@ (@ tptp.likes X) Y)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.50  (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((Y tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mdia tptp.a1) (@ (@ tptp.likes X) Y))) (@ (@ tptp.possibly_likes X) Y)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.50  (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((Y tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mdia tptp.a2) (@ (@ tptp.likes X) Y))) (@ (@ tptp.possibly_likes X) Y)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.50  (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mforall_ind (lambda ((Y tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mimplies (@ (@ tptp.mdia tptp.a3) (@ (@ tptp.likes X) Y))) (@ (@ tptp.possibly_likes X) Y)) __flatten_var_0))) __flatten_var_0)))))
% 0.21/0.50  (assert (not (@ tptp.mvalid (@ tptp.mexists_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mexists_ind (lambda ((Y tptp.mu) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.possibly_likes X) Y) __flatten_var_0))) __flatten_var_0))))))
% 0.21/0.50  (set-info :filename cvc5---1.0.5_12113)
% 0.21/0.50  (check-sat-assuming ( true ))
% 35.63/36.19  ------- get file name : TPTP file name is AGT033^2
% 35.63/36.19  ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12113.smt2...
% 35.63/36.19  --- Run --ho-elim --full-saturate-quant at 10...
% 35.63/36.19  --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 35.63/36.19  --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 35.63/36.19  --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 35.63/36.19  --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 35.63/36.19  % SZS status CounterSatisfiable for AGT033^2
% 35.63/36.19  % cvc5---1.0.5 exiting
% 35.63/36.19  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------