TSTP Solution File: AGT038^1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : AGT038^1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.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 15:53:02 EDT 2023
% Result : CounterSatisfiable 36.26s 36.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : AGT038^1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.12 % Command : do_cvc5 %s %d
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun Aug 27 17:41:51 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.44 %----Proving TH0
% 0.17/0.45 %------------------------------------------------------------------------------
% 0.17/0.45 % File : AGT038^1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.17/0.45 % Domain : Agents
% 0.17/0.45 % Problem : Piotr possible likes pepsi
% 0.17/0.45 % Version : [Ben11] axioms.
% 0.17/0.45 % English :
% 0.17/0.45
% 0.17/0.45 % Refs : [Ben11] Benzmueller (2011), Email to Geoff Sutcliffe
% 0.17/0.45 % : [Ben11] Benzmueller (2011), Combining and Automating Classical
% 0.17/0.45 % Source : [Ben11]
% 0.17/0.45 % Names : Ex_12_8 [Ben11]
% 0.17/0.45
% 0.17/0.45 % Status : Theorem
% 0.17/0.45 % 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, 0.29 v5.5.0, 0.33 v5.4.0
% 0.17/0.45 % Syntax : Number of formulae : 118 ( 33 unt; 45 typ; 33 def)
% 0.17/0.45 % Number of atoms : 272 ( 38 equ; 0 cnn)
% 0.17/0.45 % Maximal formula atoms : 16 ( 3 avg)
% 0.17/0.45 % Number of connectives : 334 ( 4 ~; 4 |; 9 &; 307 @)
% 0.17/0.45 % ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% 0.17/0.45 % Maximal formula depth : 15 ( 3 avg)
% 0.17/0.45 % Number of types : 3 ( 1 usr)
% 0.17/0.45 % Number of type conns : 203 ( 203 >; 0 *; 0 +; 0 <<)
% 0.17/0.45 % Number of symbols : 55 ( 53 usr; 15 con; 0-3 aty)
% 0.17/0.45 % Number of variables : 109 ( 69 ^; 34 !; 6 ?; 109 :)
% 0.17/0.45 % SPC : TH0_THM_EQU_NAR
% 0.17/0.45
% 0.17/0.45 % Comments :
% 0.17/0.45 % Bugfixes : v5.4.0 - Added missing axioms for symmetry of B
% 0.17/0.45 %------------------------------------------------------------------------------
% 0.17/0.45 %----Include embedding of quantified multimodal logic in simple type theory
% 0.17/0.45 %------------------------------------------------------------------------------
% 0.17/0.45 %----Declaration of additional base type mu
% 0.17/0.45 thf(mu_type,type,
% 0.17/0.45 mu: $tType ).
% 0.17/0.45
% 0.17/0.45 %----Equality
% 0.17/0.45 thf(meq_ind_type,type,
% 0.17/0.45 meq_ind: mu > mu > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(meq_ind,definition,
% 0.17/0.45 ( meq_ind
% 0.17/0.45 = ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(meq_prop_type,type,
% 0.17/0.45 meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(meq_prop,definition,
% 0.17/0.45 ( meq_prop
% 0.17/0.45 = ( ^ [X: $i > $o,Y: $i > $o,W: $i] :
% 0.17/0.45 ( ( X @ W )
% 0.17/0.45 = ( Y @ W ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 %----Modal operators not, or, box, Pi
% 0.17/0.45 thf(mnot_type,type,
% 0.17/0.45 mnot: ( $i > $o ) > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mnot,definition,
% 0.17/0.45 ( mnot
% 0.17/0.45 = ( ^ [Phi: $i > $o,W: $i] :
% 0.17/0.45 ~ ( Phi @ W ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(mor_type,type,
% 0.17/0.45 mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mor,definition,
% 0.17/0.45 ( mor
% 0.17/0.45 = ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
% 0.17/0.45 ( ( Phi @ W )
% 0.17/0.45 | ( Psi @ W ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(mand_type,type,
% 0.17/0.45 mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mand,definition,
% 0.17/0.45 ( mand
% 0.17/0.45 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(mimplies_type,type,
% 0.17/0.45 mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mimplies,definition,
% 0.17/0.45 ( mimplies
% 0.17/0.45 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(mimplied_type,type,
% 0.17/0.45 mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mimplied,definition,
% 0.17/0.45 ( mimplied
% 0.17/0.45 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(mequiv_type,type,
% 0.17/0.45 mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mequiv,definition,
% 0.17/0.45 ( mequiv
% 0.17/0.45 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(mxor_type,type,
% 0.17/0.45 mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mxor,definition,
% 0.17/0.45 ( mxor
% 0.17/0.45 = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 %----Universal quantification: individuals
% 0.17/0.45 thf(mforall_ind_type,type,
% 0.17/0.45 mforall_ind: ( mu > $i > $o ) > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mforall_ind,definition,
% 0.17/0.45 ( mforall_ind
% 0.17/0.45 = ( ^ [Phi: mu > $i > $o,W: $i] :
% 0.17/0.45 ! [X: mu] : ( Phi @ X @ W ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(mforall_prop_type,type,
% 0.17/0.45 mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mforall_prop,definition,
% 0.17/0.45 ( mforall_prop
% 0.17/0.45 = ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
% 0.17/0.45 ! [P: $i > $o] : ( Phi @ P @ W ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(mexists_ind_type,type,
% 0.17/0.45 mexists_ind: ( mu > $i > $o ) > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mexists_ind,definition,
% 0.17/0.45 ( mexists_ind
% 0.17/0.45 = ( ^ [Phi: mu > $i > $o] :
% 0.17/0.45 ( mnot
% 0.17/0.45 @ ( mforall_ind
% 0.17/0.45 @ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(mexists_prop_type,type,
% 0.17/0.45 mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mexists_prop,definition,
% 0.17/0.45 ( mexists_prop
% 0.17/0.45 = ( ^ [Phi: ( $i > $o ) > $i > $o] :
% 0.17/0.45 ( mnot
% 0.17/0.45 @ ( mforall_prop
% 0.17/0.45 @ ^ [P: $i > $o] : ( mnot @ ( Phi @ P ) ) ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(mtrue_type,type,
% 0.17/0.45 mtrue: $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mtrue,definition,
% 0.17/0.45 ( mtrue
% 0.17/0.45 = ( ^ [W: $i] : $true ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(mfalse_type,type,
% 0.17/0.45 mfalse: $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mfalse,definition,
% 0.17/0.45 ( mfalse
% 0.17/0.45 = ( mnot @ mtrue ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(mbox_type,type,
% 0.17/0.45 mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mbox,definition,
% 0.17/0.45 ( mbox
% 0.17/0.45 = ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
% 0.17/0.45 ! [V: $i] :
% 0.17/0.45 ( ~ ( R @ W @ V )
% 0.17/0.45 | ( Phi @ V ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(mdia_type,type,
% 0.17/0.45 mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mdia,definition,
% 0.17/0.45 ( mdia
% 0.17/0.45 = ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 %----Definition of properties of accessibility relations
% 0.17/0.45 thf(mreflexive_type,type,
% 0.17/0.45 mreflexive: ( $i > $i > $o ) > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mreflexive,definition,
% 0.17/0.45 ( mreflexive
% 0.17/0.45 = ( ^ [R: $i > $i > $o] :
% 0.17/0.45 ! [S: $i] : ( R @ S @ S ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(msymmetric_type,type,
% 0.17/0.45 msymmetric: ( $i > $i > $o ) > $o ).
% 0.17/0.45
% 0.17/0.45 thf(msymmetric,definition,
% 0.17/0.45 ( msymmetric
% 0.17/0.45 = ( ^ [R: $i > $i > $o] :
% 0.17/0.45 ! [S: $i,T: $i] :
% 0.17/0.45 ( ( R @ S @ T )
% 0.17/0.45 => ( R @ T @ S ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(mserial_type,type,
% 0.17/0.45 mserial: ( $i > $i > $o ) > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mserial,definition,
% 0.17/0.45 ( mserial
% 0.17/0.45 = ( ^ [R: $i > $i > $o] :
% 0.17/0.45 ! [S: $i] :
% 0.17/0.45 ? [T: $i] : ( R @ S @ T ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(mtransitive_type,type,
% 0.17/0.45 mtransitive: ( $i > $i > $o ) > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mtransitive,definition,
% 0.17/0.45 ( mtransitive
% 0.17/0.45 = ( ^ [R: $i > $i > $o] :
% 0.17/0.45 ! [S: $i,T: $i,U: $i] :
% 0.17/0.45 ( ( ( R @ S @ T )
% 0.17/0.45 & ( R @ T @ U ) )
% 0.17/0.45 => ( R @ S @ U ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(meuclidean_type,type,
% 0.17/0.45 meuclidean: ( $i > $i > $o ) > $o ).
% 0.17/0.45
% 0.17/0.45 thf(meuclidean,definition,
% 0.17/0.45 ( meuclidean
% 0.17/0.45 = ( ^ [R: $i > $i > $o] :
% 0.17/0.45 ! [S: $i,T: $i,U: $i] :
% 0.17/0.45 ( ( ( R @ S @ T )
% 0.17/0.45 & ( R @ S @ U ) )
% 0.17/0.45 => ( R @ T @ U ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(mpartially_functional_type,type,
% 0.17/0.45 mpartially_functional: ( $i > $i > $o ) > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mpartially_functional,definition,
% 0.17/0.45 ( mpartially_functional
% 0.17/0.45 = ( ^ [R: $i > $i > $o] :
% 0.17/0.45 ! [S: $i,T: $i,U: $i] :
% 0.17/0.45 ( ( ( R @ S @ T )
% 0.17/0.45 & ( R @ S @ U ) )
% 0.17/0.45 => ( T = U ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(mfunctional_type,type,
% 0.17/0.45 mfunctional: ( $i > $i > $o ) > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mfunctional,definition,
% 0.17/0.45 ( mfunctional
% 0.17/0.45 = ( ^ [R: $i > $i > $o] :
% 0.17/0.45 ! [S: $i] :
% 0.17/0.45 ? [T: $i] :
% 0.17/0.45 ( ( R @ S @ T )
% 0.17/0.45 & ! [U: $i] :
% 0.17/0.45 ( ( R @ S @ U )
% 0.17/0.45 => ( T = U ) ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(mweakly_dense_type,type,
% 0.17/0.45 mweakly_dense: ( $i > $i > $o ) > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mweakly_dense,definition,
% 0.17/0.45 ( mweakly_dense
% 0.17/0.45 = ( ^ [R: $i > $i > $o] :
% 0.17/0.45 ! [S: $i,T: $i,U: $i] :
% 0.17/0.45 ( ( R @ S @ T )
% 0.17/0.45 => ? [U: $i] :
% 0.17/0.45 ( ( R @ S @ U )
% 0.17/0.45 & ( R @ U @ T ) ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(mweakly_connected_type,type,
% 0.17/0.45 mweakly_connected: ( $i > $i > $o ) > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mweakly_connected,definition,
% 0.17/0.45 ( mweakly_connected
% 0.17/0.45 = ( ^ [R: $i > $i > $o] :
% 0.17/0.45 ! [S: $i,T: $i,U: $i] :
% 0.17/0.45 ( ( ( R @ S @ T )
% 0.17/0.45 & ( R @ S @ U ) )
% 0.17/0.45 => ( ( R @ T @ U )
% 0.17/0.45 | ( T = U )
% 0.17/0.45 | ( R @ U @ T ) ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(mweakly_directed_type,type,
% 0.17/0.45 mweakly_directed: ( $i > $i > $o ) > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mweakly_directed,definition,
% 0.17/0.45 ( mweakly_directed
% 0.17/0.45 = ( ^ [R: $i > $i > $o] :
% 0.17/0.45 ! [S: $i,T: $i,U: $i] :
% 0.17/0.45 ( ( ( R @ S @ T )
% 0.17/0.45 & ( R @ S @ U ) )
% 0.17/0.45 => ? [V: $i] :
% 0.17/0.45 ( ( R @ T @ V )
% 0.17/0.45 & ( R @ U @ V ) ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 %----Definition of validity
% 0.17/0.45 thf(mvalid_type,type,
% 0.17/0.45 mvalid: ( $i > $o ) > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mvalid,definition,
% 0.17/0.45 ( mvalid
% 0.17/0.45 = ( ^ [Phi: $i > $o] :
% 0.17/0.45 ! [W: $i] : ( Phi @ W ) ) ) ).
% 0.17/0.45
% 0.17/0.45 %----Definition of invalidity
% 0.17/0.45 thf(minvalid_type,type,
% 0.17/0.45 minvalid: ( $i > $o ) > $o ).
% 0.17/0.45
% 0.17/0.45 thf(minvalid,definition,
% 0.17/0.45 ( minvalid
% 0.17/0.45 = ( ^ [Phi: $i > $o] :
% 0.17/0.45 ! [W: $i] :
% 0.17/0.45 ~ ( Phi @ W ) ) ) ).
% 0.17/0.45
% 0.17/0.45 %----Definition of satisfiability
% 0.17/0.45 thf(msatisfiable_type,type,
% 0.17/0.45 msatisfiable: ( $i > $o ) > $o ).
% 0.17/0.45
% 0.17/0.45 thf(msatisfiable,definition,
% 0.17/0.45 ( msatisfiable
% 0.17/0.45 = ( ^ [Phi: $i > $o] :
% 0.17/0.45 ? [W: $i] : ( Phi @ W ) ) ) ).
% 0.17/0.45
% 0.17/0.45 %----Definition of countersatisfiability
% 0.17/0.45 thf(mcountersatisfiable_type,type,
% 0.17/0.45 mcountersatisfiable: ( $i > $o ) > $o ).
% 0.17/0.45
% 0.17/0.45 thf(mcountersatisfiable,definition,
% 0.17/0.45 ( mcountersatisfiable
% 0.17/0.45 = ( ^ [Phi: $i > $o] :
% 0.17/0.45 ? [W: $i] :
% 0.17/0.45 ~ ( Phi @ W ) ) ) ).
% 0.17/0.45
% 0.17/0.45 %------------------------------------------------------------------------------
% 0.17/0.45 %------------------------------------------------------------------------------
% 0.17/0.45 thf(a1,type,
% 0.17/0.45 a1: $i > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(a2,type,
% 0.17/0.45 a2: $i > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(a3,type,
% 0.17/0.45 a3: $i > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(jan,type,
% 0.17/0.45 jan: mu ).
% 0.17/0.45
% 0.17/0.45 thf(piotr,type,
% 0.17/0.45 piotr: mu ).
% 0.17/0.45
% 0.17/0.45 thf(cola,type,
% 0.17/0.45 cola: mu ).
% 0.17/0.45
% 0.17/0.45 thf(pepsi,type,
% 0.17/0.45 pepsi: mu ).
% 0.17/0.45
% 0.17/0.45 thf(beer,type,
% 0.17/0.45 beer: mu ).
% 0.17/0.45
% 0.17/0.45 thf(likes,type,
% 0.17/0.45 likes: mu > mu > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(very_much_likes,type,
% 0.17/0.45 very_much_likes: mu > mu > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(possibly_likes,type,
% 0.17/0.45 possibly_likes: mu > mu > $i > $o ).
% 0.17/0.45
% 0.17/0.45 thf(axiom_a1_1,axiom,
% 0.17/0.45 mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(axiom_a1_2,axiom,
% 0.17/0.45 mvalid @ ( mbox @ a1 @ ( likes @ piotr @ pepsi ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(axiom_a1_3,axiom,
% 0.17/0.45 ( mvalid
% 0.17/0.45 @ ( mforall_ind
% 0.17/0.45 @ ^ [X: mu] : ( mbox @ a1 @ ( mimplies @ ( mdia @ a1 @ ( likes @ X @ pepsi ) ) @ ( likes @ X @ cola ) ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(axiom_a1_4,axiom,
% 0.17/0.45 ( mvalid
% 0.17/0.45 @ ( mforall_ind
% 0.17/0.45 @ ^ [X: mu] : ( mbox @ a1 @ ( mimplies @ ( mdia @ a1 @ ( likes @ X @ cola ) ) @ ( likes @ X @ pepsi ) ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(axiom_a2_1,axiom,
% 0.17/0.45 mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(axiom_a2_2,axiom,
% 0.17/0.45 mvalid @ ( mbox @ a1 @ ( likes @ piotr @ cola ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(axiom_a2_3,axiom,
% 0.17/0.45 mvalid @ ( mbox @ a1 @ ( likes @ piotr @ beer ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(axiom_a2_4,axiom,
% 0.17/0.45 ( mvalid
% 0.17/0.45 @ ( mforall_ind
% 0.17/0.45 @ ^ [X: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X @ pepsi ) @ ( likes @ X @ cola ) ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(axiom_a2_5,axiom,
% 0.17/0.45 ( mvalid
% 0.17/0.45 @ ( mforall_ind
% 0.17/0.45 @ ^ [X: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X @ cola ) @ ( likes @ X @ pepsi ) ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(axiom_a3_1,axiom,
% 0.17/0.45 mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(axiom_a3_2,axiom,
% 0.17/0.45 mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(axiom_a3_3,axiom,
% 0.17/0.45 mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(axiom_a3_4,axiom,
% 0.17/0.45 ( mvalid
% 0.17/0.45 @ ( mforall_ind
% 0.17/0.45 @ ^ [X: mu] :
% 0.17/0.45 ( mforall_ind
% 0.17/0.45 @ ^ [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 ) ) ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(axiom_user_communication_1,axiom,
% 0.17/0.45 ( mvalid
% 0.17/0.45 @ ( mforall_ind
% 0.17/0.45 @ ^ [X: mu] :
% 0.17/0.45 ( mforall_ind
% 0.17/0.45 @ ^ [Y: mu] : ( mimplies @ ( mbox @ a3 @ ( very_much_likes @ X @ Y ) ) @ ( very_much_likes @ X @ Y ) ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(axiom_user_communication_2,axiom,
% 0.17/0.45 ( mvalid
% 0.17/0.45 @ ( mforall_ind
% 0.17/0.45 @ ^ [X: mu] :
% 0.17/0.45 ( mforall_ind
% 0.17/0.45 @ ^ [Y: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ X @ Y ) ) @ ( likes @ X @ Y ) ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(axiom_user_communication_3,axiom,
% 0.17/0.45 ( mvalid
% 0.17/0.45 @ ( mforall_ind
% 0.17/0.45 @ ^ [X: mu] :
% 0.17/0.45 ( mforall_ind
% 0.17/0.45 @ ^ [Y: mu] : ( mimplies @ ( mdia @ a1 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(axiom_user_communication_4,axiom,
% 0.17/0.45 ( mvalid
% 0.17/0.45 @ ( mforall_ind
% 0.17/0.45 @ ^ [X: mu] :
% 0.17/0.45 ( mforall_ind
% 0.17/0.45 @ ^ [Y: mu] : ( mimplies @ ( mdia @ a2 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(axiom_user_communication_5,axiom,
% 0.17/0.45 ( mvalid
% 0.17/0.45 @ ( mforall_ind
% 0.17/0.45 @ ^ [X: mu] :
% 0.17/0.45 ( mforall_ind
% 0.17/0.45 @ ^ [Y: mu] : ( mimplies @ ( mdia @ a3 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) ) ).
% 0.17/0.45
% 0.17/0.45 thf(axioms_B_a1,axiom,
% 0.17/0.45 msymmetric @ a1 ).
% 0.17/0.45
% 0.17/0.45 thf(axioms_B_a2,axiom,
% 0.17/0.46 msymmetric @ a2 ).
% 0.17/0.46
% 0.17/0.46 thf(axioms_B_a3,axiom,
% 0.17/0.46 msymmetric @ a3 ).
% 0.17/0.46
% 0.17/0.46 thf(axioms_D_a1,axiom,
% 0.17/0.46 mserial @ a1 ).
% 0.17/0.46
% 0.17/0.46 thf(axioms_D_a2,axiom,
% 0.17/0.46 mserial @ a2 ).
% 0.17/0.46
% 0.17/0.46 thf(axioms_D_a3,axiom,
% 0.17/0.46 mserial @ a3 ).
% 0.17/0.46
% 0.17/0.46 thf(subrel,type,
% 0.17/0.46 subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
% 0.17/0.46
% 0.17/0.46 thf(subrel_def,definition,
% 0.17/0.46 ( subrel
% 0.17/0.46 = ( ^ [R1: $i > $i > $o,R2: $i > $i > $o] :
% 0.17/0.46 ! [X: $i,Y: $i] :
% 0.17/0.46 ( ( R1 @ X @ Y )
% 0.17/0.46 => ( R2 @ X @ Y ) ) ) ) ).
% 0.17/0.46
% 0.17/0.46 thf(axiom_I_a1_a2,axiom,
% 0.17/0.46 subrel @ a1 @ a2 ).
% 0.17/0.46
% 0.17/0.46 thf(axiom_I_a1_a3,axiom,
% 0.17/0.46 subrel @ a1 @ a3 ).
% 0.17/0.46
% 0.17/0.46 thf(axiom_I_a2_a3,axiom,
% 0.17/0.46 subrel @ a2 @ a3 ).
% 0.17/0.46
% 0.17/0.46 thf(cond4s,type,
% 0.17/0.46 cond4s: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
% 0.17/0.46
% 0.17/0.46 thf(cond4s_def,definition,
% 0.17/0.46 ( cond4s
% 0.17/0.46 = ( ^ [R1: $i > $i > $o,R2: $i > $i > $o] :
% 0.17/0.46 ! [U: $i,V: $i,W: $i] :
% 0.17/0.46 ( ( ( R1 @ U @ V )
% 0.17/0.46 & ( R2 @ V @ W ) )
% 0.17/0.46 => ( R2 @ U @ W ) ) ) ) ).
% 0.17/0.46
% 0.17/0.46 thf(axioms_Is_a1_a1,axiom,
% 0.17/0.46 cond4s @ a1 @ a1 ).
% 0.17/0.46
% 0.17/0.46 thf(axioms_Is_a1_a2,axiom,
% 0.17/0.46 cond4s @ a1 @ a2 ).
% 0.17/0.46
% 0.17/0.46 thf(axioms_Is_a1_a3,axiom,
% 0.17/0.46 cond4s @ a1 @ a3 ).
% 0.17/0.46
% 0.17/0.46 thf(axioms_Is_a2_a1,axiom,
% 0.17/0.46 cond4s @ a2 @ a1 ).
% 0.17/0.46
% 0.17/0.46 thf(axioms_Is_a2_a2,axiom,
% 0.17/0.46 cond4s @ a2 @ a2 ).
% 0.17/0.46
% 0.17/0.46 thf(axioms_Is_a2_a3,axiom,
% 0.17/0.46 cond4s @ a2 @ a3 ).
% 0.17/0.46
% 0.17/0.46 thf(axioms_Is_a3_a1,axiom,
% 0.17/0.46 cond4s @ a1 @ a1 ).
% 0.17/0.46
% 0.17/0.46 thf(axioms_Is_a3_a2,axiom,
% 0.17/0.46 cond4s @ a2 @ a2 ).
% 0.17/0.46
% 0.17/0.46 thf(axioms_Is_a3_a3,axiom,
% 0.17/0.46 cond4s @ a3 @ a3 ).
% 0.17/0.46
% 0.17/0.46 thf(axioms_5_a1,axiom,
% 0.17/0.46 meuclidean @ a1 ).
% 0.17/0.46
% 0.17/0.46 thf(axioms_5_a2,axiom,
% 0.17/0.46 meuclidean @ a2 ).
% 0.17/0.46
% 0.17/0.46 thf(axioms_5_a3,axiom,
% 0.17/0.46 meuclidean @ a3 ).
% 0.17/0.46
% 0.17/0.46 thf(conj,conjecture,
% 0.17/0.46 mvalid @ ( possibly_likes @ piotr @ pepsi ) ).
% 0.17/0.46
% 0.17/0.46 %------------------------------------------------------------------------------
% 0.17/0.46 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.N0rn7sMs2O/cvc5---1.0.5_14213.p...
% 0.17/0.46 (declare-sort $$unsorted 0)
% 0.17/0.46 (declare-sort tptp.mu 0)
% 0.17/0.46 (declare-fun tptp.meq_ind (tptp.mu tptp.mu $$unsorted) Bool)
% 0.17/0.46 (assert (= tptp.meq_ind (lambda ((X tptp.mu) (Y tptp.mu) (W $$unsorted)) (= X Y))))
% 0.17/0.46 (declare-fun tptp.meq_prop ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.17/0.46 (assert (= tptp.meq_prop (lambda ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool)) (W $$unsorted)) (= (@ X W) (@ Y W)))))
% 0.17/0.46 (declare-fun tptp.mnot ((-> $$unsorted Bool) $$unsorted) Bool)
% 0.17/0.46 (assert (= tptp.mnot (lambda ((Phi (-> $$unsorted Bool)) (W $$unsorted)) (not (@ Phi W)))))
% 0.17/0.46 (declare-fun tptp.mor ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.17/0.46 (assert (= tptp.mor (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (W $$unsorted)) (or (@ Phi W) (@ Psi W)))))
% 0.17/0.46 (declare-fun tptp.mand ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.17/0.46 (assert (= tptp.mand (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mor (@ tptp.mnot Phi)) (@ tptp.mnot Psi))) __flatten_var_0))))
% 0.17/0.46 (declare-fun tptp.mimplies ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.17/0.46 (assert (= tptp.mimplies (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mor (@ tptp.mnot Phi)) Psi) __flatten_var_0))))
% 0.17/0.46 (declare-fun tptp.mimplied ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.17/0.46 (assert (= tptp.mimplied (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mor (@ tptp.mnot Psi)) Phi) __flatten_var_0))))
% 0.17/0.46 (declare-fun tptp.mequiv ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.17/0.46 (assert (= tptp.mequiv (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ (@ tptp.mand (@ (@ tptp.mimplies Phi) Psi)) (@ (@ tptp.mimplies Psi) Phi)) __flatten_var_0))))
% 0.17/0.46 (declare-fun tptp.mxor ((-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.17/0.46 (assert (= tptp.mxor (lambda ((Phi (-> $$unsorted Bool)) (Psi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mequiv Phi) Psi)) __flatten_var_0))))
% 0.17/0.46 (declare-fun tptp.mforall_ind ((-> tptp.mu $$unsorted Bool) $$unsorted) Bool)
% 0.17/0.46 (assert (= tptp.mforall_ind (lambda ((Phi (-> tptp.mu $$unsorted Bool)) (W $$unsorted)) (forall ((X tptp.mu)) (@ (@ Phi X) W)))))
% 0.17/0.46 (declare-fun tptp.mforall_prop ((-> (-> $$unsorted Bool) $$unsorted Bool) $$unsorted) Bool)
% 0.17/0.46 (assert (= tptp.mforall_prop (lambda ((Phi (-> (-> $$unsorted Bool) $$unsorted Bool)) (W $$unsorted)) (forall ((P (-> $$unsorted Bool))) (@ (@ Phi P) W)))))
% 0.17/0.46 (declare-fun tptp.mexists_ind ((-> tptp.mu $$unsorted Bool) $$unsorted) Bool)
% 0.17/0.46 (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 $$unsorted)) (@ (@ tptp.mnot (@ Phi X)) __flatten_var_0)))) __flatten_var_0))))
% 0.17/0.46 (declare-fun tptp.mexists_prop ((-> (-> $$unsorted Bool) $$unsorted Bool) $$unsorted) Bool)
% 0.17/0.46 (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 $$unsorted)) (@ (@ tptp.mnot (@ Phi P)) __flatten_var_0)))) __flatten_var_0))))
% 0.17/0.46 (declare-fun tptp.mtrue ($$unsorted) Bool)
% 0.17/0.46 (assert (= tptp.mtrue (lambda ((W $$unsorted)) true)))
% 0.17/0.46 (declare-fun tptp.mfalse ($$unsorted) Bool)
% 0.17/0.46 (assert (= tptp.mfalse (@ tptp.mnot tptp.mtrue)))
% 0.17/0.46 (declare-fun tptp.mbox ((-> $$unsorted $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.17/0.46 (assert (= tptp.mbox (lambda ((R (-> $$unsorted $$unsorted Bool)) (Phi (-> $$unsorted Bool)) (W $$unsorted)) (forall ((V $$unsorted)) (or (not (@ (@ R W) V)) (@ Phi V))))))
% 0.17/0.46 (declare-fun tptp.mdia ((-> $$unsorted $$unsorted Bool) (-> $$unsorted Bool) $$unsorted) Bool)
% 0.17/0.46 (assert (= tptp.mdia (lambda ((R (-> $$unsorted $$unsorted Bool)) (Phi (-> $$unsorted Bool)) (__flatten_var_0 $$unsorted)) (@ (@ tptp.mnot (@ (@ tptp.mbox R) (@ tptp.mnot Phi))) __flatten_var_0))))
% 0.17/0.46 (declare-fun tptp.mreflexive ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.17/0.46 (assert (= tptp.mreflexive (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (@ (@ R S) S)))))
% 0.17/0.46 (declare-fun tptp.msymmetric ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.17/0.46 (assert (= tptp.msymmetric (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted)) (=> (@ (@ R S) T) (@ (@ R T) S))))))
% 0.17/0.46 (declare-fun tptp.mserial ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.17/0.46 (assert (= tptp.mserial (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (exists ((T $$unsorted)) (@ (@ R S) T))))))
% 0.17/0.46 (declare-fun tptp.mtransitive ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.17/0.46 (assert (= tptp.mtransitive (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ (@ R T) U)) (@ _let_1 U)))))))
% 0.17/0.46 (declare-fun tptp.meuclidean ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.17/0.46 (assert (= tptp.meuclidean (lambda ((R (-> $$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)))))))
% 0.17/0.46 (declare-fun tptp.mpartially_functional ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.17/0.46 (assert (= tptp.mpartially_functional (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (= T U)))))))
% 0.17/0.46 (declare-fun tptp.mfunctional ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.17/0.46 (assert (= tptp.mfunctional (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted)) (exists ((T $$unsorted)) (and (@ (@ R S) T) (forall ((U $$unsorted)) (=> (@ (@ R S) U) (= T U)))))))))
% 0.17/0.46 (declare-fun tptp.mweakly_dense ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.17/0.46 (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))))))))
% 0.17/0.46 (declare-fun tptp.mweakly_connected ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.17/0.46 (assert (= tptp.mweakly_connected (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (or (@ (@ R T) U) (= T U) (@ (@ R U) T))))))))
% 0.17/0.46 (declare-fun tptp.mweakly_directed ((-> $$unsorted $$unsorted Bool)) Bool)
% 0.17/0.46 (assert (= tptp.mweakly_directed (lambda ((R (-> $$unsorted $$unsorted Bool))) (forall ((S $$unsorted) (T $$unsorted) (U $$unsorted)) (let ((_let_1 (@ R S))) (=> (and (@ _let_1 T) (@ _let_1 U)) (exists ((V $$unsorted)) (and (@ (@ R T) V) (@ (@ R U) V)))))))))
% 0.17/0.46 (declare-fun tptp.mvalid ((-> $$unsorted Bool)) Bool)
% 0.17/0.46 (assert (= tptp.mvalid (lambda ((Phi (-> $$unsorted Bool))) (forall ((W $$unsorted)) (@ Phi W)))))
% 0.17/0.46 (declare-fun tptp.minvalid ((-> $$unsorted Bool)) Bool)
% 0.17/0.46 (assert (= tptp.minvalid (lambda ((Phi (-> $$unsorted Bool))) (forall ((W $$unsorted)) (not (@ Phi W))))))
% 0.17/0.46 (declare-fun tptp.msatisfiable ((-> $$unsorted Bool)) Bool)
% 0.17/0.46 (assert (= tptp.msatisfiable (lambda ((Phi (-> $$unsorted Bool))) (exists ((W $$unsorted)) (@ Phi W)))))
% 0.17/0.46 (declare-fun tptp.mcountersatisfiable ((-> $$unsorted Bool)) Bool)
% 0.17/0.46 (assert (= tptp.mcountersatisfiable (lambda ((Phi (-> $$unsorted Bool))) (exists ((W $$unsorted)) (not (@ Phi W))))))
% 0.17/0.46 (declare-fun tptp.a1 ($$unsorted $$unsorted) Bool)
% 0.17/0.46 (declare-fun tptp.a2 ($$unsorted $$unsorted) Bool)
% 0.17/0.46 (declare-fun tptp.a3 ($$unsorted $$unsorted) Bool)
% 0.17/0.46 (declare-fun tptp.jan () tptp.mu)
% 0.17/0.46 (declare-fun tptp.piotr () tptp.mu)
% 0.17/0.46 (declare-fun tptp.cola () tptp.mu)
% 0.17/0.46 (declare-fun tptp.pepsi () tptp.mu)
% 0.17/0.46 (declare-fun tptp.beer () tptp.mu)
% 0.17/0.46 (declare-fun tptp.likes (tptp.mu tptp.mu $$unsorted) Bool)
% 0.17/0.46 (declare-fun tptp.very_much_likes (tptp.mu tptp.mu $$unsorted) Bool)
% 0.17/0.46 (declare-fun tptp.possibly_likes (tptp.mu tptp.mu $$unsorted) Bool)
% 0.17/0.46 (assert (@ tptp.mvalid (@ (@ tptp.mbox tptp.a1) (@ (@ tptp.likes tptp.jan) tptp.cola))))
% 0.17/0.46 (assert (@ tptp.mvalid (@ (@ tptp.mbox tptp.a1) (@ (@ tptp.likes tptp.piotr) tptp.pepsi))))
% 0.17/0.46 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.likes X))) (@ (@ (@ tptp.mbox tptp.a1) (@ (@ tptp.mimplies (@ (@ tptp.mdia tptp.a1) (@ _let_1 tptp.pepsi))) (@ _let_1 tptp.cola))) __flatten_var_0))))))
% 0.17/0.46 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$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))))))
% 0.17/0.46 (assert (@ tptp.mvalid (@ (@ tptp.mbox tptp.a2) (@ (@ tptp.likes tptp.jan) tptp.pepsi))))
% 0.17/0.46 (assert (@ tptp.mvalid (@ (@ tptp.mbox tptp.a1) (@ (@ tptp.likes tptp.piotr) tptp.cola))))
% 0.17/0.46 (assert (@ tptp.mvalid (@ (@ tptp.mbox tptp.a1) (@ (@ tptp.likes tptp.piotr) tptp.beer))))
% 0.17/0.46 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.likes X))) (@ (@ (@ tptp.mbox tptp.a2) (@ (@ tptp.mimplies (@ _let_1 tptp.pepsi)) (@ _let_1 tptp.cola))) __flatten_var_0))))))
% 0.17/0.46 (assert (@ tptp.mvalid (@ tptp.mforall_ind (lambda ((X tptp.mu) (__flatten_var_0 $$unsorted)) (let ((_let_1 (@ tptp.likes X))) (@ (@ (@ tptp.mbox tptp.a2) (@ (@ tptp.mimplies (@ _let_1 tptp.cola)) (@ _let_1 tptp.pepsi))) __flatten_var_0))))))
% 0.17/0.46 (assert (@ tptp.mvalid (@ (@ tptp.mbox tptp.a3) (@ (@ tptp.likes tptp.jan) tptp.cola))))
% 0.17/0.46 (assert (@ tptp.mvalid (@ (@ tptp.mdia tptp.a3) (@ (@ tptp.likes tptp.piotr) tptp.pepsi))))
% 0.17/0.46 (assert (@ tptp.mvalid (@ (@ tptp.mdia tptp.a1) (@ (@ tptp.likes tptp.piotr) tptp.beer))))
% 0.17/0.46 (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)))))
% 0.17/0.46 (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)))))
% 0.17/0.46 (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)))))
% 36.26/36.59 (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)))))
% 36.26/36.59 (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)))))
% 36.26/36.59 (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)))))
% 36.26/36.59 (assert (@ tptp.msymmetric tptp.a1))
% 36.26/36.59 (assert (@ tptp.msymmetric tptp.a2))
% 36.26/36.59 (assert (@ tptp.msymmetric tptp.a3))
% 36.26/36.59 (assert (@ tptp.mserial tptp.a1))
% 36.26/36.59 (assert (@ tptp.mserial tptp.a2))
% 36.26/36.59 (assert (@ tptp.mserial tptp.a3))
% 36.26/36.59 (declare-fun tptp.subrel ((-> $$unsorted $$unsorted Bool) (-> $$unsorted $$unsorted Bool)) Bool)
% 36.26/36.59 (assert (= tptp.subrel (lambda ((R1 (-> $$unsorted $$unsorted Bool)) (R2 (-> $$unsorted $$unsorted Bool))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (@ (@ R1 X) Y) (@ (@ R2 X) Y))))))
% 36.26/36.59 (assert (@ (@ tptp.subrel tptp.a1) tptp.a2))
% 36.26/36.59 (assert (@ (@ tptp.subrel tptp.a1) tptp.a3))
% 36.26/36.59 (assert (@ (@ tptp.subrel tptp.a2) tptp.a3))
% 36.26/36.59 (declare-fun tptp.cond4s ((-> $$unsorted $$unsorted Bool) (-> $$unsorted $$unsorted Bool)) Bool)
% 36.26/36.59 (assert (= tptp.cond4s (lambda ((R1 (-> $$unsorted $$unsorted Bool)) (R2 (-> $$unsorted $$unsorted Bool))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (@ (@ R1 U) V) (@ (@ R2 V) W)) (@ (@ R2 U) W))))))
% 36.26/36.59 (assert (@ (@ tptp.cond4s tptp.a1) tptp.a1))
% 36.26/36.59 (assert (@ (@ tptp.cond4s tptp.a1) tptp.a2))
% 36.26/36.59 (assert (@ (@ tptp.cond4s tptp.a1) tptp.a3))
% 36.26/36.59 (assert (@ (@ tptp.cond4s tptp.a2) tptp.a1))
% 36.26/36.59 (assert (@ (@ tptp.cond4s tptp.a2) tptp.a2))
% 36.26/36.59 (assert (@ (@ tptp.cond4s tptp.a2) tptp.a3))
% 36.26/36.59 (assert (@ (@ tptp.cond4s tptp.a1) tptp.a1))
% 36.26/36.59 (assert (@ (@ tptp.cond4s tptp.a2) tptp.a2))
% 36.26/36.59 (assert (@ (@ tptp.cond4s tptp.a3) tptp.a3))
% 36.26/36.59 (assert (@ tptp.meuclidean tptp.a1))
% 36.26/36.59 (assert (@ tptp.meuclidean tptp.a2))
% 36.26/36.59 (assert (@ tptp.meuclidean tptp.a3))
% 36.26/36.59 (assert (not (@ tptp.mvalid (@ (@ tptp.possibly_likes tptp.piotr) tptp.pepsi))))
% 36.26/36.59 (set-info :filename cvc5---1.0.5_14213)
% 36.26/36.59 (check-sat-assuming ( true ))
% 36.26/36.59 ------- get file name : TPTP file name is AGT038^1
% 36.26/36.59 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14213.smt2...
% 36.26/36.59 --- Run --ho-elim --full-saturate-quant at 10...
% 36.26/36.59 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 36.26/36.59 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 36.26/36.59 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 36.26/36.59 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 36.26/36.59 % SZS status CounterSatisfiable for AGT038^1
% 36.26/36.59 % cvc5---1.0.5 exiting
% 36.26/36.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------