%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : AGT032^2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:07:10 AM UTC 2026
% Result : Theorem 0.59s 0.32s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 50
% Syntax : Number of formulae : 251 ( 147 unt; 0 typ; 31 def)
% Number of atoms : 1616 ( 415 equ; 0 cnn)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 3306 ( 448 ~; 432 |; 18 &;2400 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 57 ( 57 >; 0 *; 0 +; 0 <<)
% Number of symbols : 51 ( 48 usr; 8 con; 0-4 aty)
% Number of variables : 722 ( 69 ^; 647 !; 6 ?; 722 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mu,type,
mu: $tType ).
thf(tp_a1,type,
a1: $i > $i > $o ).
thf(tp_a2,type,
a2: $i > $i > $o ).
thf(tp_a3,type,
a3: $i > $i > $o ).
thf(tp_beer,type,
beer: mu ).
thf(tp_cola,type,
cola: mu ).
thf(tp_jan,type,
jan: mu ).
thf(tp_likes,type,
likes: mu > mu > $i > $o ).
thf(tp_mand,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mbox,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mcountersatisfiable,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(tp_mdia,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_meq_ind,type,
meq_ind: mu > mu > $i > $o ).
thf(tp_meq_prop,type,
meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mequiv,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_meuclidean,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(tp_mexists_ind,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(tp_mexists_prop,type,
mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(tp_mfalse,type,
mfalse: $i > $o ).
thf(tp_mforall_ind,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(tp_mforall_prop,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(tp_mfunctional,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(tp_mimplied,type,
mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mimplies,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_minvalid,type,
minvalid: ( $i > $o ) > $o ).
thf(tp_mnot,type,
mnot: ( $i > $o ) > $i > $o ).
thf(tp_mor,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mpartially_functional,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(tp_mreflexive,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(tp_msatisfiable,type,
msatisfiable: ( $i > $o ) > $o ).
thf(tp_mserial,type,
mserial: ( $i > $i > $o ) > $o ).
thf(tp_msymmetric,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(tp_mtransitive,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(tp_mtrue,type,
mtrue: $i > $o ).
thf(tp_mvalid,type,
mvalid: ( $i > $o ) > $o ).
thf(tp_mweakly_connected,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(tp_mweakly_dense,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(tp_mweakly_directed,type,
mweakly_directed: ( $i > $i > $o ) > $o ).
thf(tp_mxor,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_pepsi,type,
pepsi: mu ).
thf(tp_piotr,type,
piotr: mu ).
thf(tp_possibly_likes,type,
possibly_likes: mu > mu > $i > $o ).
thf(tp_sK1_SY22,type,
sK1_SY22: $i ).
thf(tp_sK2_SY100,type,
sK2_SY100: $i > mu > mu > $i > $i ).
thf(tp_sK3_SY99,type,
sK3_SY99: $i > mu > mu > $i > $i ).
thf(tp_sK4_SY321,type,
sK4_SY321: mu > mu > $i > $i ).
thf(tp_sK5_SY470,type,
sK5_SY470: $i > $i ).
thf(tp_sK6_SY485,type,
sK6_SY485: $i > $i ).
thf(tp_very_much_likes,type,
very_much_likes: mu > mu > $i > $o ).
thf(mand,definition,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ~ ( R @ W @ V )
| ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox) ).
thf(mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mcountersatisfiable) ).
thf(mdia,definition,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia) ).
thf(meq_ind,definition,
( meq_ind
= ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meq_ind) ).
thf(meq_prop,definition,
( meq_prop
= ( ^ [X: $i > $o,Y: $i > $o,W: $i] :
( ( X @ W )
= ( Y @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meq_prop) ).
thf(mequiv,definition,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv) ).
thf(meuclidean,definition,
( meuclidean
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( R @ T @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meuclidean) ).
thf(mexists_ind,definition,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_ind) ).
thf(mexists_prop,definition,
( mexists_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o] :
( mnot
@ ( mforall_prop
@ ^ [P: $i > $o] : ( mnot @ ( Phi @ P ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_prop) ).
thf(mfalse,definition,
( mfalse
= ( mnot @ mtrue ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfalse) ).
thf(mforall_ind,definition,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind) ).
thf(mforall_prop,definition,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_prop) ).
thf(mfunctional,definition,
( mfunctional
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] :
( ( R @ S @ T )
& ! [U: $i] :
( ( R @ S @ U )
=> ( T = U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfunctional) ).
thf(mimplied,definition,
( mimplied
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplied) ).
thf(mimplies,definition,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies) ).
thf(minvalid,definition,
( minvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minvalid) ).
thf(mnot,definition,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor) ).
thf(mpartially_functional,definition,
( mpartially_functional
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( T = U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mpartially_functional) ).
thf(mreflexive,definition,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mreflexive) ).
thf(msatisfiable,definition,
( msatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',msatisfiable) ).
thf(mserial,definition,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mserial) ).
thf(msymmetric,definition,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',msymmetric) ).
thf(mtransitive,definition,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtransitive) ).
thf(mtrue,definition,
( mtrue
= ( ^ [W: $i] : $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtrue) ).
thf(mvalid,definition,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid) ).
thf(mweakly_connected,definition,
( mweakly_connected
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( ( R @ T @ U )
| ( T = U )
| ( R @ U @ T ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_connected) ).
thf(mweakly_dense,definition,
( mweakly_dense
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( R @ S @ T )
=> ? [U: $i] :
( ( R @ S @ U )
& ( R @ U @ T ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_dense) ).
thf(mweakly_directed,definition,
( mweakly_directed
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ? [V: $i] :
( ( R @ T @ V )
& ( R @ U @ V ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_directed) ).
thf(mxor,definition,
( mxor
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mxor) ).
thf(1,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mdia @ a3 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_5) ).
thf(2,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mdia @ a2 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_4) ).
thf(3,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mdia @ a1 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_3) ).
thf(4,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ X @ Y ) ) @ ( likes @ X @ Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_2) ).
thf(5,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mbox @ a3 @ ( very_much_likes @ X @ Y ) ) @ ( very_much_likes @ X @ Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_1) ).
thf(6,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [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 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_4) ).
thf(7,axiom,
mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_3) ).
thf(8,axiom,
mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_2) ).
thf(9,axiom,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_1) ).
thf(10,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X @ cola ) @ ( likes @ X @ pepsi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_5) ).
thf(11,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X @ pepsi ) @ ( likes @ X @ cola ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_4) ).
thf(12,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_3) ).
thf(13,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ cola ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_2) ).
thf(14,axiom,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_1) ).
thf(15,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ a1 @ ( mimplies @ ( mdia @ a1 @ ( likes @ X @ cola ) ) @ ( likes @ X @ pepsi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_4) ).
thf(16,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ a1 @ ( mimplies @ ( mdia @ a1 @ ( likes @ X @ pepsi ) ) @ ( likes @ X @ cola ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_3) ).
thf(17,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_2) ).
thf(18,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_1) ).
thf(19,conjecture,
( mvalid
@ ( mexists_ind
@ ^ [X: mu] :
( mexists_ind
@ ^ [Y: mu] : ( likes @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(20,negated_conjecture,
( ( mvalid
@ ( mexists_ind
@ ^ [X: mu] :
( mexists_ind
@ ^ [Y: mu] : ( likes @ X @ Y ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[19]) ).
thf(21,plain,
( ( ! [SY22: $i] :
~ ! [SY23: mu] :
~ ~ ! [SY24: mu] :
~ ( likes @ SY23 @ SY24 @ SY22 ) )
= $false ),
inference(unfold_def,[status(thm)],[20,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(22,plain,
( ( ! [SY105: $i,SY106: mu,SY107: mu,SY108: $i] :
( ~ ( a3 @ SY105 @ SY108 )
| ~ ~ ( ~ ( likes @ SY106 @ SY107 @ SY108 )
| ~ ~ ( ~ ! [SY99: $i] :
( ~ ( a1 @ SY108 @ SY99 )
| ( likes @ SY106 @ SY107 @ SY99 ) )
| ~ ! [SY100: $i] :
( ~ ( a2 @ SY108 @ SY100 )
| ( likes @ SY106 @ SY107 @ SY100 ) ) ) )
| ( very_much_likes @ SY106 @ SY107 @ SY108 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(23,plain,
( ( ! [SY152: $i,SY153: mu,SY154: mu] :
( ~ ~ ! [SY155: $i] :
( ~ ( a3 @ SY152 @ SY155 )
| ~ ( likes @ SY153 @ SY154 @ SY155 ) )
| ( possibly_likes @ SY153 @ SY154 @ SY152 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(24,plain,
( ( ! [SY195: $i,SY196: mu,SY197: mu] :
( ~ ~ ! [SY198: $i] :
( ~ ( a2 @ SY195 @ SY198 )
| ~ ( likes @ SY196 @ SY197 @ SY198 ) )
| ( possibly_likes @ SY196 @ SY197 @ SY195 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(25,plain,
( ( ! [SY238: $i,SY239: mu,SY240: mu] :
( ~ ~ ! [SY241: $i] :
( ~ ( a1 @ SY238 @ SY241 )
| ~ ( likes @ SY239 @ SY240 @ SY241 ) )
| ( possibly_likes @ SY239 @ SY240 @ SY238 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(26,plain,
( ( ! [SY281: $i,SY282: mu,SY283: mu] :
( ~ ~ ! [SY284: $i] :
( ~ ( a3 @ SY281 @ SY284 )
| ~ ( very_much_likes @ SY282 @ SY283 @ SY284 ) )
| ( likes @ SY282 @ SY283 @ SY281 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(27,plain,
( ( ! [SY318: $i,SY319: mu,SY320: mu] :
( ~ ! [SY321: $i] :
( ~ ( a3 @ SY318 @ SY321 )
| ( very_much_likes @ SY319 @ SY320 @ SY321 ) )
| ( very_much_likes @ SY319 @ SY320 @ SY318 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(28,plain,
( ( ! [SY343: $i,SY344: mu,SY345: $i] :
( ~ ( a2 @ SY343 @ SY345 )
| ~ ( likes @ SY344 @ cola @ SY345 )
| ( likes @ SY344 @ pepsi @ SY345 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(29,plain,
( ( ! [SY366: $i,SY367: mu,SY368: $i] :
( ~ ( a2 @ SY366 @ SY368 )
| ~ ( likes @ SY367 @ pepsi @ SY368 )
| ( likes @ SY367 @ cola @ SY368 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(30,plain,
( ( ! [SY407: $i,SY408: mu,SY409: $i] :
( ~ ( a1 @ SY407 @ SY409 )
| ~ ~ ! [SY404: $i] :
( ~ ( a1 @ SY409 @ SY404 )
| ~ ( likes @ SY408 @ cola @ SY404 ) )
| ( likes @ SY408 @ pepsi @ SY409 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(31,plain,
( ( ! [SY450: $i,SY451: mu,SY452: $i] :
( ~ ( a1 @ SY450 @ SY452 )
| ~ ~ ! [SY447: $i] :
( ~ ( a1 @ SY452 @ SY447 )
| ~ ( likes @ SY451 @ pepsi @ SY447 ) )
| ( likes @ SY451 @ cola @ SY452 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(32,plain,
( ( ! [SY469: $i] :
~ ! [SY470: $i] :
( ~ ( a1 @ SY469 @ SY470 )
| ~ ( likes @ piotr @ beer @ SY470 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(33,plain,
( ( ! [SY484: $i] :
~ ! [SY485: $i] :
( ~ ( a3 @ SY484 @ SY485 )
| ~ ( likes @ piotr @ pepsi @ SY485 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(34,plain,
( ( ! [SY493: $i,SY494: $i] :
( ~ ( a3 @ SY493 @ SY494 )
| ( likes @ jan @ cola @ SY494 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(35,plain,
( ( ! [SY502: $i,SY503: $i] :
( ~ ( a1 @ SY502 @ SY503 )
| ( likes @ piotr @ beer @ SY503 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(36,plain,
( ( ! [SY511: $i,SY512: $i] :
( ~ ( a1 @ SY511 @ SY512 )
| ( likes @ piotr @ cola @ SY512 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(37,plain,
( ( ! [SY520: $i,SY521: $i] :
( ~ ( a2 @ SY520 @ SY521 )
| ( likes @ jan @ pepsi @ SY521 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(38,plain,
( ( ! [SY529: $i,SY530: $i] :
( ~ ( a1 @ SY529 @ SY530 )
| ( likes @ piotr @ pepsi @ SY530 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(39,plain,
( ( ! [SY538: $i,SY539: $i] :
( ~ ( a1 @ SY538 @ SY539 )
| ( likes @ jan @ cola @ SY539 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(40,plain,
( ( ~ ! [SY542: mu] :
~ ~ ! [SY543: mu] :
~ ( likes @ SY542 @ SY543 @ sK1_SY22 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[21]) ).
thf(41,plain,
( ( ! [SY542: mu] :
~ ~ ! [SY543: mu] :
~ ( likes @ SY542 @ SY543 @ sK1_SY22 ) )
= $true ),
inference(polarity_switch,[status(thm)],[40]) ).
thf(42,plain,
( ( ! [SY542: mu,SY543: mu] :
~ ( likes @ SY542 @ SY543 @ sK1_SY22 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(43,plain,
( ( ! [SY105: $i,SY106: mu,SY107: mu,SY108: $i] :
( ~ ( a3 @ SY105 @ SY108 )
| ~ ( likes @ SY106 @ SY107 @ SY108 )
| ( ( a1 @ SY108 @ ( sK3_SY99 @ SY108 @ SY107 @ SY106 @ SY105 ) )
& ~ ( likes @ SY106 @ SY107 @ ( sK3_SY99 @ SY108 @ SY107 @ SY106 @ SY105 ) ) )
| ( ( a2 @ SY108 @ ( sK2_SY100 @ SY108 @ SY107 @ SY106 @ SY105 ) )
& ~ ( likes @ SY106 @ SY107 @ ( sK2_SY100 @ SY108 @ SY107 @ SY106 @ SY105 ) ) )
| ( very_much_likes @ SY106 @ SY107 @ SY108 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(44,plain,
( ( ! [SY152: $i,SY153: mu,SY154: mu] :
( ! [SY155: $i] :
( ~ ( a3 @ SY152 @ SY155 )
| ~ ( likes @ SY153 @ SY154 @ SY155 ) )
| ( possibly_likes @ SY153 @ SY154 @ SY152 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(45,plain,
( ( ! [SY195: $i,SY196: mu,SY197: mu] :
( ! [SY198: $i] :
( ~ ( a2 @ SY195 @ SY198 )
| ~ ( likes @ SY196 @ SY197 @ SY198 ) )
| ( possibly_likes @ SY196 @ SY197 @ SY195 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(46,plain,
( ( ! [SY238: $i,SY239: mu,SY240: mu] :
( ! [SY241: $i] :
( ~ ( a1 @ SY238 @ SY241 )
| ~ ( likes @ SY239 @ SY240 @ SY241 ) )
| ( possibly_likes @ SY239 @ SY240 @ SY238 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(47,plain,
( ( ! [SY281: $i,SY282: mu,SY283: mu] :
( ! [SY284: $i] :
( ~ ( a3 @ SY281 @ SY284 )
| ~ ( very_much_likes @ SY282 @ SY283 @ SY284 ) )
| ( likes @ SY282 @ SY283 @ SY281 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(48,plain,
( ( ! [SY318: $i,SY319: mu,SY320: mu] :
( ( ( a3 @ SY318 @ ( sK4_SY321 @ SY320 @ SY319 @ SY318 ) )
& ~ ( very_much_likes @ SY319 @ SY320 @ ( sK4_SY321 @ SY320 @ SY319 @ SY318 ) ) )
| ( very_much_likes @ SY319 @ SY320 @ SY318 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(49,plain,
( ( ! [SY407: $i,SY408: mu,SY409: $i] :
( ~ ( a1 @ SY407 @ SY409 )
| ! [SY404: $i] :
( ~ ( a1 @ SY409 @ SY404 )
| ~ ( likes @ SY408 @ cola @ SY404 ) )
| ( likes @ SY408 @ pepsi @ SY409 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(50,plain,
( ( ! [SY450: $i,SY451: mu,SY452: $i] :
( ~ ( a1 @ SY450 @ SY452 )
| ! [SY447: $i] :
( ~ ( a1 @ SY452 @ SY447 )
| ~ ( likes @ SY451 @ pepsi @ SY447 ) )
| ( likes @ SY451 @ cola @ SY452 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(51,plain,
( ( ! [SY469: $i] :
( ( a1 @ SY469 @ ( sK5_SY470 @ SY469 ) )
& ( likes @ piotr @ beer @ ( sK5_SY470 @ SY469 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(52,plain,
( ( ! [SY484: $i] :
( ( a3 @ SY484 @ ( sK6_SY485 @ SY484 ) )
& ( likes @ piotr @ pepsi @ ( sK6_SY485 @ SY484 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(53,plain,
( ( ! [SY538: $i,SY539: $i] :
( ~ ( a1 @ SY538 @ SY539 )
| ( likes @ jan @ cola @ SY539 ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(54,plain,
( ( ! [SY529: $i,SY530: $i] :
( ~ ( a1 @ SY529 @ SY530 )
| ( likes @ piotr @ pepsi @ SY530 ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(55,plain,
( ( ! [SY520: $i,SY521: $i] :
( ~ ( a2 @ SY520 @ SY521 )
| ( likes @ jan @ pepsi @ SY521 ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(56,plain,
( ( ! [SY511: $i,SY512: $i] :
( ~ ( a1 @ SY511 @ SY512 )
| ( likes @ piotr @ cola @ SY512 ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(57,plain,
( ( ! [SY502: $i,SY503: $i] :
( ~ ( a1 @ SY502 @ SY503 )
| ( likes @ piotr @ beer @ SY503 ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(58,plain,
( ( ! [SY493: $i,SY494: $i] :
( ~ ( a3 @ SY493 @ SY494 )
| ( likes @ jan @ cola @ SY494 ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(59,plain,
( ( ! [SY484: $i] :
( ( a3 @ SY484 @ ( sK6_SY485 @ SY484 ) )
& ( likes @ piotr @ pepsi @ ( sK6_SY485 @ SY484 ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(60,plain,
( ( ! [SY469: $i] :
( ( a1 @ SY469 @ ( sK5_SY470 @ SY469 ) )
& ( likes @ piotr @ beer @ ( sK5_SY470 @ SY469 ) ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(61,plain,
( ( ! [SY450: $i,SY451: mu,SY452: $i] :
( ~ ( a1 @ SY450 @ SY452 )
| ! [SY447: $i] :
( ~ ( a1 @ SY452 @ SY447 )
| ~ ( likes @ SY451 @ pepsi @ SY447 ) )
| ( likes @ SY451 @ cola @ SY452 ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(62,plain,
( ( ! [SY407: $i,SY408: mu,SY409: $i] :
( ~ ( a1 @ SY407 @ SY409 )
| ! [SY404: $i] :
( ~ ( a1 @ SY409 @ SY404 )
| ~ ( likes @ SY408 @ cola @ SY404 ) )
| ( likes @ SY408 @ pepsi @ SY409 ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(63,plain,
( ( ! [SY366: $i,SY367: mu,SY368: $i] :
( ~ ( a2 @ SY366 @ SY368 )
| ~ ( likes @ SY367 @ pepsi @ SY368 )
| ( likes @ SY367 @ cola @ SY368 ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(64,plain,
( ( ! [SY343: $i,SY344: mu,SY345: $i] :
( ~ ( a2 @ SY343 @ SY345 )
| ~ ( likes @ SY344 @ cola @ SY345 )
| ( likes @ SY344 @ pepsi @ SY345 ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(65,plain,
( ( ! [SY318: $i,SY319: mu,SY320: mu] :
( ( ( a3 @ SY318 @ ( sK4_SY321 @ SY320 @ SY319 @ SY318 ) )
& ~ ( very_much_likes @ SY319 @ SY320 @ ( sK4_SY321 @ SY320 @ SY319 @ SY318 ) ) )
| ( very_much_likes @ SY319 @ SY320 @ SY318 ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(66,plain,
( ( ! [SY281: $i,SY282: mu,SY283: mu] :
( ! [SY284: $i] :
( ~ ( a3 @ SY281 @ SY284 )
| ~ ( very_much_likes @ SY282 @ SY283 @ SY284 ) )
| ( likes @ SY282 @ SY283 @ SY281 ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(67,plain,
( ( ! [SY238: $i,SY239: mu,SY240: mu] :
( ! [SY241: $i] :
( ~ ( a1 @ SY238 @ SY241 )
| ~ ( likes @ SY239 @ SY240 @ SY241 ) )
| ( possibly_likes @ SY239 @ SY240 @ SY238 ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(68,plain,
( ( ! [SY195: $i,SY196: mu,SY197: mu] :
( ! [SY198: $i] :
( ~ ( a2 @ SY195 @ SY198 )
| ~ ( likes @ SY196 @ SY197 @ SY198 ) )
| ( possibly_likes @ SY196 @ SY197 @ SY195 ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(69,plain,
( ( ! [SY152: $i,SY153: mu,SY154: mu] :
( ! [SY155: $i] :
( ~ ( a3 @ SY152 @ SY155 )
| ~ ( likes @ SY153 @ SY154 @ SY155 ) )
| ( possibly_likes @ SY153 @ SY154 @ SY152 ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(70,plain,
( ( ! [SY105: $i,SY106: mu,SY107: mu,SY108: $i] :
( ~ ( a3 @ SY105 @ SY108 )
| ~ ( likes @ SY106 @ SY107 @ SY108 )
| ( ( a1 @ SY108 @ ( sK3_SY99 @ SY108 @ SY107 @ SY106 @ SY105 ) )
& ~ ( likes @ SY106 @ SY107 @ ( sK3_SY99 @ SY108 @ SY107 @ SY106 @ SY105 ) ) )
| ( ( a2 @ SY108 @ ( sK2_SY100 @ SY108 @ SY107 @ SY106 @ SY105 ) )
& ~ ( likes @ SY106 @ SY107 @ ( sK2_SY100 @ SY108 @ SY107 @ SY106 @ SY105 ) ) )
| ( very_much_likes @ SY106 @ SY107 @ SY108 ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(71,plain,
( ( ! [SY542: mu,SY543: mu] :
~ ( likes @ SY542 @ SY543 @ sK1_SY22 ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(72,plain,
( ( ! [SX0: $i,SX1: mu,SX2: mu] :
( ~ ( ~ ( a3 @ SX0 @ ( sK4_SY321 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( very_much_likes @ SX1 @ SX2 @ ( sK4_SY321 @ SX2 @ SX1 @ SX0 ) ) )
| ( very_much_likes @ SX1 @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(73,plain,
( ( ! [SX0: $i] :
~ ( ~ ( a3 @ SX0 @ ( sK6_SY485 @ SX0 ) )
| ~ ( likes @ piotr @ pepsi @ ( sK6_SY485 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(74,plain,
( ( ! [SX0: $i] :
~ ( ~ ( a1 @ SX0 @ ( sK5_SY470 @ SX0 ) )
| ~ ( likes @ piotr @ beer @ ( sK5_SY470 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(75,plain,
( ( ! [SX0: $i,SX1: mu,SX2: mu,SX3: $i] :
( ~ ( a3 @ SX0 @ SX3 )
| ~ ( likes @ SX1 @ SX2 @ SX3 )
| ~ ( ~ ( a1 @ SX3 @ ( sK3_SY99 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( likes @ SX1 @ SX2 @ ( sK3_SY99 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( a2 @ SX3 @ ( sK2_SY100 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( likes @ SX1 @ SX2 @ ( sK2_SY100 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ( very_much_likes @ SX1 @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(76,plain,
! [SV1: $i] :
( ( ! [SY544: $i] :
( ~ ( a1 @ SV1 @ SY544 )
| ( likes @ jan @ cola @ SY544 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(77,plain,
! [SV2: $i] :
( ( ! [SY545: $i] :
( ~ ( a1 @ SV2 @ SY545 )
| ( likes @ piotr @ pepsi @ SY545 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(78,plain,
! [SV3: $i] :
( ( ! [SY546: $i] :
( ~ ( a2 @ SV3 @ SY546 )
| ( likes @ jan @ pepsi @ SY546 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(79,plain,
! [SV4: $i] :
( ( ! [SY547: $i] :
( ~ ( a1 @ SV4 @ SY547 )
| ( likes @ piotr @ cola @ SY547 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(80,plain,
! [SV5: $i] :
( ( ! [SY548: $i] :
( ~ ( a1 @ SV5 @ SY548 )
| ( likes @ piotr @ beer @ SY548 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(81,plain,
! [SV6: $i] :
( ( ! [SY549: $i] :
( ~ ( a3 @ SV6 @ SY549 )
| ( likes @ jan @ cola @ SY549 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(82,plain,
! [SV7: $i] :
( ( ! [SY550: mu,SY551: $i] :
( ~ ( a1 @ SV7 @ SY551 )
| ! [SY447: $i] :
( ~ ( a1 @ SY551 @ SY447 )
| ~ ( likes @ SY550 @ pepsi @ SY447 ) )
| ( likes @ SY550 @ cola @ SY551 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(83,plain,
! [SV8: $i] :
( ( ! [SY553: mu,SY554: $i] :
( ~ ( a1 @ SV8 @ SY554 )
| ! [SY404: $i] :
( ~ ( a1 @ SY554 @ SY404 )
| ~ ( likes @ SY553 @ cola @ SY404 ) )
| ( likes @ SY553 @ pepsi @ SY554 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(84,plain,
! [SV9: $i] :
( ( ! [SY556: mu,SY557: $i] :
( ~ ( a2 @ SV9 @ SY557 )
| ~ ( likes @ SY556 @ pepsi @ SY557 )
| ( likes @ SY556 @ cola @ SY557 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(85,plain,
! [SV10: $i] :
( ( ! [SY558: mu,SY559: $i] :
( ~ ( a2 @ SV10 @ SY559 )
| ~ ( likes @ SY558 @ cola @ SY559 )
| ( likes @ SY558 @ pepsi @ SY559 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(86,plain,
! [SV11: $i] :
( ( ! [SY560: mu,SY561: mu] :
( ! [SY562: $i] :
( ~ ( a3 @ SV11 @ SY562 )
| ~ ( very_much_likes @ SY560 @ SY561 @ SY562 ) )
| ( likes @ SY560 @ SY561 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(87,plain,
! [SV12: $i] :
( ( ! [SY563: mu,SY564: mu] :
( ! [SY565: $i] :
( ~ ( a1 @ SV12 @ SY565 )
| ~ ( likes @ SY563 @ SY564 @ SY565 ) )
| ( possibly_likes @ SY563 @ SY564 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(88,plain,
! [SV13: $i] :
( ( ! [SY566: mu,SY567: mu] :
( ! [SY568: $i] :
( ~ ( a2 @ SV13 @ SY568 )
| ~ ( likes @ SY566 @ SY567 @ SY568 ) )
| ( possibly_likes @ SY566 @ SY567 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(89,plain,
! [SV14: $i] :
( ( ! [SY569: mu,SY570: mu] :
( ! [SY571: $i] :
( ~ ( a3 @ SV14 @ SY571 )
| ~ ( likes @ SY569 @ SY570 @ SY571 ) )
| ( possibly_likes @ SY569 @ SY570 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(90,plain,
! [SV15: mu] :
( ( ! [SY572: mu] :
~ ( likes @ SV15 @ SY572 @ sK1_SY22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(91,plain,
! [SV16: $i] :
( ( ! [SY573: mu,SY574: mu] :
( ~ ( ~ ( a3 @ SV16 @ ( sK4_SY321 @ SY574 @ SY573 @ SV16 ) )
| ~ ~ ( very_much_likes @ SY573 @ SY574 @ ( sK4_SY321 @ SY574 @ SY573 @ SV16 ) ) )
| ( very_much_likes @ SY573 @ SY574 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(92,plain,
! [SV17: $i] :
( ( ~ ( ~ ( a3 @ SV17 @ ( sK6_SY485 @ SV17 ) )
| ~ ( likes @ piotr @ pepsi @ ( sK6_SY485 @ SV17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(93,plain,
! [SV18: $i] :
( ( ~ ( ~ ( a1 @ SV18 @ ( sK5_SY470 @ SV18 ) )
| ~ ( likes @ piotr @ beer @ ( sK5_SY470 @ SV18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(94,plain,
! [SV19: $i] :
( ( ! [SY575: mu,SY576: mu,SY577: $i] :
( ~ ( a3 @ SV19 @ SY577 )
| ~ ( likes @ SY575 @ SY576 @ SY577 )
| ~ ( ~ ( a1 @ SY577 @ ( sK3_SY99 @ SY577 @ SY576 @ SY575 @ SV19 ) )
| ~ ~ ( likes @ SY575 @ SY576 @ ( sK3_SY99 @ SY577 @ SY576 @ SY575 @ SV19 ) ) )
| ~ ( ~ ( a2 @ SY577 @ ( sK2_SY100 @ SY577 @ SY576 @ SY575 @ SV19 ) )
| ~ ~ ( likes @ SY575 @ SY576 @ ( sK2_SY100 @ SY577 @ SY576 @ SY575 @ SV19 ) ) )
| ( very_much_likes @ SY575 @ SY576 @ SY577 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(95,plain,
! [SV20: $i,SV1: $i] :
( ( ~ ( a1 @ SV1 @ SV20 )
| ( likes @ jan @ cola @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(96,plain,
! [SV21: $i,SV2: $i] :
( ( ~ ( a1 @ SV2 @ SV21 )
| ( likes @ piotr @ pepsi @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(97,plain,
! [SV22: $i,SV3: $i] :
( ( ~ ( a2 @ SV3 @ SV22 )
| ( likes @ jan @ pepsi @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(98,plain,
! [SV23: $i,SV4: $i] :
( ( ~ ( a1 @ SV4 @ SV23 )
| ( likes @ piotr @ cola @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(99,plain,
! [SV24: $i,SV5: $i] :
( ( ~ ( a1 @ SV5 @ SV24 )
| ( likes @ piotr @ beer @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(100,plain,
! [SV25: $i,SV6: $i] :
( ( ~ ( a3 @ SV6 @ SV25 )
| ( likes @ jan @ cola @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(101,plain,
! [SV26: mu,SV7: $i] :
( ( ! [SY578: $i] :
( ~ ( a1 @ SV7 @ SY578 )
| ! [SY579: $i] :
( ~ ( a1 @ SY578 @ SY579 )
| ~ ( likes @ SV26 @ pepsi @ SY579 ) )
| ( likes @ SV26 @ cola @ SY578 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(102,plain,
! [SV27: mu,SV8: $i] :
( ( ! [SY580: $i] :
( ~ ( a1 @ SV8 @ SY580 )
| ! [SY581: $i] :
( ~ ( a1 @ SY580 @ SY581 )
| ~ ( likes @ SV27 @ cola @ SY581 ) )
| ( likes @ SV27 @ pepsi @ SY580 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(103,plain,
! [SV28: mu,SV9: $i] :
( ( ! [SY582: $i] :
( ~ ( a2 @ SV9 @ SY582 )
| ~ ( likes @ SV28 @ pepsi @ SY582 )
| ( likes @ SV28 @ cola @ SY582 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(104,plain,
! [SV29: mu,SV10: $i] :
( ( ! [SY583: $i] :
( ~ ( a2 @ SV10 @ SY583 )
| ~ ( likes @ SV29 @ cola @ SY583 )
| ( likes @ SV29 @ pepsi @ SY583 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(105,plain,
! [SV30: mu,SV11: $i] :
( ( ! [SY584: mu] :
( ! [SY585: $i] :
( ~ ( a3 @ SV11 @ SY585 )
| ~ ( very_much_likes @ SV30 @ SY584 @ SY585 ) )
| ( likes @ SV30 @ SY584 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(106,plain,
! [SV31: mu,SV12: $i] :
( ( ! [SY586: mu] :
( ! [SY587: $i] :
( ~ ( a1 @ SV12 @ SY587 )
| ~ ( likes @ SV31 @ SY586 @ SY587 ) )
| ( possibly_likes @ SV31 @ SY586 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(107,plain,
! [SV32: mu,SV13: $i] :
( ( ! [SY588: mu] :
( ! [SY589: $i] :
( ~ ( a2 @ SV13 @ SY589 )
| ~ ( likes @ SV32 @ SY588 @ SY589 ) )
| ( possibly_likes @ SV32 @ SY588 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(108,plain,
! [SV33: mu,SV14: $i] :
( ( ! [SY590: mu] :
( ! [SY591: $i] :
( ~ ( a3 @ SV14 @ SY591 )
| ~ ( likes @ SV33 @ SY590 @ SY591 ) )
| ( possibly_likes @ SV33 @ SY590 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(109,plain,
! [SV34: mu,SV15: mu] :
( ( ~ ( likes @ SV15 @ SV34 @ sK1_SY22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(110,plain,
! [SV35: mu,SV16: $i] :
( ( ! [SY592: mu] :
( ~ ( ~ ( a3 @ SV16 @ ( sK4_SY321 @ SY592 @ SV35 @ SV16 ) )
| ~ ~ ( very_much_likes @ SV35 @ SY592 @ ( sK4_SY321 @ SY592 @ SV35 @ SV16 ) ) )
| ( very_much_likes @ SV35 @ SY592 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(111,plain,
! [SV17: $i] :
( ( ~ ( a3 @ SV17 @ ( sK6_SY485 @ SV17 ) )
| ~ ( likes @ piotr @ pepsi @ ( sK6_SY485 @ SV17 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(112,plain,
! [SV18: $i] :
( ( ~ ( a1 @ SV18 @ ( sK5_SY470 @ SV18 ) )
| ~ ( likes @ piotr @ beer @ ( sK5_SY470 @ SV18 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(113,plain,
! [SV36: mu,SV19: $i] :
( ( ! [SY593: mu,SY594: $i] :
( ~ ( a3 @ SV19 @ SY594 )
| ~ ( likes @ SV36 @ SY593 @ SY594 )
| ~ ( ~ ( a1 @ SY594 @ ( sK3_SY99 @ SY594 @ SY593 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SY593 @ ( sK3_SY99 @ SY594 @ SY593 @ SV36 @ SV19 ) ) )
| ~ ( ~ ( a2 @ SY594 @ ( sK2_SY100 @ SY594 @ SY593 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SY593 @ ( sK2_SY100 @ SY594 @ SY593 @ SV36 @ SV19 ) ) )
| ( very_much_likes @ SV36 @ SY593 @ SY594 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(114,plain,
! [SV20: $i,SV1: $i] :
( ( ( ~ ( a1 @ SV1 @ SV20 ) )
= $true )
| ( ( likes @ jan @ cola @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(115,plain,
! [SV21: $i,SV2: $i] :
( ( ( ~ ( a1 @ SV2 @ SV21 ) )
= $true )
| ( ( likes @ piotr @ pepsi @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(116,plain,
! [SV22: $i,SV3: $i] :
( ( ( ~ ( a2 @ SV3 @ SV22 ) )
= $true )
| ( ( likes @ jan @ pepsi @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(117,plain,
! [SV23: $i,SV4: $i] :
( ( ( ~ ( a1 @ SV4 @ SV23 ) )
= $true )
| ( ( likes @ piotr @ cola @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(118,plain,
! [SV24: $i,SV5: $i] :
( ( ( ~ ( a1 @ SV5 @ SV24 ) )
= $true )
| ( ( likes @ piotr @ beer @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(119,plain,
! [SV25: $i,SV6: $i] :
( ( ( ~ ( a3 @ SV6 @ SV25 ) )
= $true )
| ( ( likes @ jan @ cola @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(120,plain,
! [SV26: mu,SV37: $i,SV7: $i] :
( ( ~ ( a1 @ SV7 @ SV37 )
| ! [SY595: $i] :
( ~ ( a1 @ SV37 @ SY595 )
| ~ ( likes @ SV26 @ pepsi @ SY595 ) )
| ( likes @ SV26 @ cola @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(121,plain,
! [SV27: mu,SV38: $i,SV8: $i] :
( ( ~ ( a1 @ SV8 @ SV38 )
| ! [SY596: $i] :
( ~ ( a1 @ SV38 @ SY596 )
| ~ ( likes @ SV27 @ cola @ SY596 ) )
| ( likes @ SV27 @ pepsi @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(122,plain,
! [SV28: mu,SV39: $i,SV9: $i] :
( ( ~ ( a2 @ SV9 @ SV39 )
| ~ ( likes @ SV28 @ pepsi @ SV39 )
| ( likes @ SV28 @ cola @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(123,plain,
! [SV29: mu,SV40: $i,SV10: $i] :
( ( ~ ( a2 @ SV10 @ SV40 )
| ~ ( likes @ SV29 @ cola @ SV40 )
| ( likes @ SV29 @ pepsi @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(124,plain,
! [SV41: mu,SV30: mu,SV11: $i] :
( ( ! [SY597: $i] :
( ~ ( a3 @ SV11 @ SY597 )
| ~ ( very_much_likes @ SV30 @ SV41 @ SY597 ) )
| ( likes @ SV30 @ SV41 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(125,plain,
! [SV42: mu,SV31: mu,SV12: $i] :
( ( ! [SY598: $i] :
( ~ ( a1 @ SV12 @ SY598 )
| ~ ( likes @ SV31 @ SV42 @ SY598 ) )
| ( possibly_likes @ SV31 @ SV42 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(126,plain,
! [SV43: mu,SV32: mu,SV13: $i] :
( ( ! [SY599: $i] :
( ~ ( a2 @ SV13 @ SY599 )
| ~ ( likes @ SV32 @ SV43 @ SY599 ) )
| ( possibly_likes @ SV32 @ SV43 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(127,plain,
! [SV44: mu,SV33: mu,SV14: $i] :
( ( ! [SY600: $i] :
( ~ ( a3 @ SV14 @ SY600 )
| ~ ( likes @ SV33 @ SV44 @ SY600 ) )
| ( possibly_likes @ SV33 @ SV44 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(128,plain,
! [SV34: mu,SV15: mu] :
( ( likes @ SV15 @ SV34 @ sK1_SY22 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(129,plain,
! [SV35: mu,SV45: mu,SV16: $i] :
( ( ~ ( ~ ( a3 @ SV16 @ ( sK4_SY321 @ SV45 @ SV35 @ SV16 ) )
| ~ ~ ( very_much_likes @ SV35 @ SV45 @ ( sK4_SY321 @ SV45 @ SV35 @ SV16 ) ) )
| ( very_much_likes @ SV35 @ SV45 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(130,plain,
! [SV17: $i] :
( ( ~ ( a3 @ SV17 @ ( sK6_SY485 @ SV17 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(131,plain,
! [SV17: $i] :
( ( ~ ( likes @ piotr @ pepsi @ ( sK6_SY485 @ SV17 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(132,plain,
! [SV18: $i] :
( ( ~ ( a1 @ SV18 @ ( sK5_SY470 @ SV18 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(133,plain,
! [SV18: $i] :
( ( ~ ( likes @ piotr @ beer @ ( sK5_SY470 @ SV18 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(134,plain,
! [SV46: mu,SV36: mu,SV19: $i] :
( ( ! [SY601: $i] :
( ~ ( a3 @ SV19 @ SY601 )
| ~ ( likes @ SV36 @ SV46 @ SY601 )
| ~ ( ~ ( a1 @ SY601 @ ( sK3_SY99 @ SY601 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK3_SY99 @ SY601 @ SV46 @ SV36 @ SV19 ) ) )
| ~ ( ~ ( a2 @ SY601 @ ( sK2_SY100 @ SY601 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SY601 @ SV46 @ SV36 @ SV19 ) ) )
| ( very_much_likes @ SV36 @ SV46 @ SY601 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(135,plain,
! [SV20: $i,SV1: $i] :
( ( ( a1 @ SV1 @ SV20 )
= $false )
| ( ( likes @ jan @ cola @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(136,plain,
! [SV21: $i,SV2: $i] :
( ( ( a1 @ SV2 @ SV21 )
= $false )
| ( ( likes @ piotr @ pepsi @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(137,plain,
! [SV22: $i,SV3: $i] :
( ( ( a2 @ SV3 @ SV22 )
= $false )
| ( ( likes @ jan @ pepsi @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(138,plain,
! [SV23: $i,SV4: $i] :
( ( ( a1 @ SV4 @ SV23 )
= $false )
| ( ( likes @ piotr @ cola @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(139,plain,
! [SV24: $i,SV5: $i] :
( ( ( a1 @ SV5 @ SV24 )
= $false )
| ( ( likes @ piotr @ beer @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(140,plain,
! [SV25: $i,SV6: $i] :
( ( ( a3 @ SV6 @ SV25 )
= $false )
| ( ( likes @ jan @ cola @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(141,plain,
! [SV26: mu,SV37: $i,SV7: $i] :
( ( ( ~ ( a1 @ SV7 @ SV37 ) )
= $true )
| ( ( ! [SY595: $i] :
( ~ ( a1 @ SV37 @ SY595 )
| ~ ( likes @ SV26 @ pepsi @ SY595 ) )
| ( likes @ SV26 @ cola @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(142,plain,
! [SV27: mu,SV38: $i,SV8: $i] :
( ( ( ~ ( a1 @ SV8 @ SV38 ) )
= $true )
| ( ( ! [SY596: $i] :
( ~ ( a1 @ SV38 @ SY596 )
| ~ ( likes @ SV27 @ cola @ SY596 ) )
| ( likes @ SV27 @ pepsi @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(143,plain,
! [SV28: mu,SV39: $i,SV9: $i] :
( ( ( ~ ( a2 @ SV9 @ SV39 ) )
= $true )
| ( ( ~ ( likes @ SV28 @ pepsi @ SV39 )
| ( likes @ SV28 @ cola @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(144,plain,
! [SV29: mu,SV40: $i,SV10: $i] :
( ( ( ~ ( a2 @ SV10 @ SV40 ) )
= $true )
| ( ( ~ ( likes @ SV29 @ cola @ SV40 )
| ( likes @ SV29 @ pepsi @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(145,plain,
! [SV41: mu,SV30: mu,SV11: $i] :
( ( ( ! [SY597: $i] :
( ~ ( a3 @ SV11 @ SY597 )
| ~ ( very_much_likes @ SV30 @ SV41 @ SY597 ) ) )
= $true )
| ( ( likes @ SV30 @ SV41 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(146,plain,
! [SV42: mu,SV31: mu,SV12: $i] :
( ( ( ! [SY598: $i] :
( ~ ( a1 @ SV12 @ SY598 )
| ~ ( likes @ SV31 @ SV42 @ SY598 ) ) )
= $true )
| ( ( possibly_likes @ SV31 @ SV42 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(147,plain,
! [SV43: mu,SV32: mu,SV13: $i] :
( ( ( ! [SY599: $i] :
( ~ ( a2 @ SV13 @ SY599 )
| ~ ( likes @ SV32 @ SV43 @ SY599 ) ) )
= $true )
| ( ( possibly_likes @ SV32 @ SV43 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(148,plain,
! [SV44: mu,SV33: mu,SV14: $i] :
( ( ( ! [SY600: $i] :
( ~ ( a3 @ SV14 @ SY600 )
| ~ ( likes @ SV33 @ SV44 @ SY600 ) ) )
= $true )
| ( ( possibly_likes @ SV33 @ SV44 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(149,plain,
! [SV35: mu,SV45: mu,SV16: $i] :
( ( ( ~ ( ~ ( a3 @ SV16 @ ( sK4_SY321 @ SV45 @ SV35 @ SV16 ) )
| ~ ~ ( very_much_likes @ SV35 @ SV45 @ ( sK4_SY321 @ SV45 @ SV35 @ SV16 ) ) ) )
= $true )
| ( ( very_much_likes @ SV35 @ SV45 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(150,plain,
! [SV17: $i] :
( ( a3 @ SV17 @ ( sK6_SY485 @ SV17 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(151,plain,
! [SV17: $i] :
( ( likes @ piotr @ pepsi @ ( sK6_SY485 @ SV17 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(152,plain,
! [SV18: $i] :
( ( a1 @ SV18 @ ( sK5_SY470 @ SV18 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(153,plain,
! [SV18: $i] :
( ( likes @ piotr @ beer @ ( sK5_SY470 @ SV18 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(154,plain,
! [SV46: mu,SV36: mu,SV47: $i,SV19: $i] :
( ( ~ ( a3 @ SV19 @ SV47 )
| ~ ( likes @ SV36 @ SV46 @ SV47 )
| ~ ( ~ ( a1 @ SV47 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
| ~ ( ~ ( a2 @ SV47 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
| ( very_much_likes @ SV36 @ SV46 @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(155,plain,
! [SV26: mu,SV37: $i,SV7: $i] :
( ( ( a1 @ SV7 @ SV37 )
= $false )
| ( ( ! [SY595: $i] :
( ~ ( a1 @ SV37 @ SY595 )
| ~ ( likes @ SV26 @ pepsi @ SY595 ) )
| ( likes @ SV26 @ cola @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(156,plain,
! [SV27: mu,SV38: $i,SV8: $i] :
( ( ( a1 @ SV8 @ SV38 )
= $false )
| ( ( ! [SY596: $i] :
( ~ ( a1 @ SV38 @ SY596 )
| ~ ( likes @ SV27 @ cola @ SY596 ) )
| ( likes @ SV27 @ pepsi @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(157,plain,
! [SV28: mu,SV39: $i,SV9: $i] :
( ( ( a2 @ SV9 @ SV39 )
= $false )
| ( ( ~ ( likes @ SV28 @ pepsi @ SV39 )
| ( likes @ SV28 @ cola @ SV39 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(158,plain,
! [SV29: mu,SV40: $i,SV10: $i] :
( ( ( a2 @ SV10 @ SV40 )
= $false )
| ( ( ~ ( likes @ SV29 @ cola @ SV40 )
| ( likes @ SV29 @ pepsi @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(159,plain,
! [SV41: mu,SV30: mu,SV48: $i,SV11: $i] :
( ( ( ~ ( a3 @ SV11 @ SV48 )
| ~ ( very_much_likes @ SV30 @ SV41 @ SV48 ) )
= $true )
| ( ( likes @ SV30 @ SV41 @ SV11 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(160,plain,
! [SV42: mu,SV31: mu,SV49: $i,SV12: $i] :
( ( ( ~ ( a1 @ SV12 @ SV49 )
| ~ ( likes @ SV31 @ SV42 @ SV49 ) )
= $true )
| ( ( possibly_likes @ SV31 @ SV42 @ SV12 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(161,plain,
! [SV43: mu,SV32: mu,SV50: $i,SV13: $i] :
( ( ( ~ ( a2 @ SV13 @ SV50 )
| ~ ( likes @ SV32 @ SV43 @ SV50 ) )
= $true )
| ( ( possibly_likes @ SV32 @ SV43 @ SV13 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(162,plain,
! [SV44: mu,SV33: mu,SV51: $i,SV14: $i] :
( ( ( ~ ( a3 @ SV14 @ SV51 )
| ~ ( likes @ SV33 @ SV44 @ SV51 ) )
= $true )
| ( ( possibly_likes @ SV33 @ SV44 @ SV14 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(163,plain,
! [SV35: mu,SV45: mu,SV16: $i] :
( ( ( ~ ( a3 @ SV16 @ ( sK4_SY321 @ SV45 @ SV35 @ SV16 ) )
| ~ ~ ( very_much_likes @ SV35 @ SV45 @ ( sK4_SY321 @ SV45 @ SV35 @ SV16 ) ) )
= $false )
| ( ( very_much_likes @ SV35 @ SV45 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(164,plain,
! [SV46: mu,SV36: mu,SV47: $i,SV19: $i] :
( ( ( ~ ( a3 @ SV19 @ SV47 ) )
= $true )
| ( ( ~ ( likes @ SV36 @ SV46 @ SV47 )
| ~ ( ~ ( a1 @ SV47 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
| ~ ( ~ ( a2 @ SV47 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
| ( very_much_likes @ SV36 @ SV46 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(165,plain,
! [SV7: $i,SV26: mu,SV37: $i] :
( ( ( ! [SY595: $i] :
( ~ ( a1 @ SV37 @ SY595 )
| ~ ( likes @ SV26 @ pepsi @ SY595 ) ) )
= $true )
| ( ( likes @ SV26 @ cola @ SV37 )
= $true )
| ( ( a1 @ SV7 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(166,plain,
! [SV8: $i,SV27: mu,SV38: $i] :
( ( ( ! [SY596: $i] :
( ~ ( a1 @ SV38 @ SY596 )
| ~ ( likes @ SV27 @ cola @ SY596 ) ) )
= $true )
| ( ( likes @ SV27 @ pepsi @ SV38 )
= $true )
| ( ( a1 @ SV8 @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(167,plain,
! [SV9: $i,SV39: $i,SV28: mu] :
( ( ( ~ ( likes @ SV28 @ pepsi @ SV39 ) )
= $true )
| ( ( likes @ SV28 @ cola @ SV39 )
= $true )
| ( ( a2 @ SV9 @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(168,plain,
! [SV10: $i,SV40: $i,SV29: mu] :
( ( ( ~ ( likes @ SV29 @ cola @ SV40 ) )
= $true )
| ( ( likes @ SV29 @ pepsi @ SV40 )
= $true )
| ( ( a2 @ SV10 @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(169,plain,
! [SV41: mu,SV30: mu,SV48: $i,SV11: $i] :
( ( ( ~ ( a3 @ SV11 @ SV48 ) )
= $true )
| ( ( ~ ( very_much_likes @ SV30 @ SV41 @ SV48 ) )
= $true )
| ( ( likes @ SV30 @ SV41 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(170,plain,
! [SV42: mu,SV31: mu,SV49: $i,SV12: $i] :
( ( ( ~ ( a1 @ SV12 @ SV49 ) )
= $true )
| ( ( ~ ( likes @ SV31 @ SV42 @ SV49 ) )
= $true )
| ( ( possibly_likes @ SV31 @ SV42 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(171,plain,
! [SV43: mu,SV32: mu,SV50: $i,SV13: $i] :
( ( ( ~ ( a2 @ SV13 @ SV50 ) )
= $true )
| ( ( ~ ( likes @ SV32 @ SV43 @ SV50 ) )
= $true )
| ( ( possibly_likes @ SV32 @ SV43 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(172,plain,
! [SV44: mu,SV33: mu,SV51: $i,SV14: $i] :
( ( ( ~ ( a3 @ SV14 @ SV51 ) )
= $true )
| ( ( ~ ( likes @ SV33 @ SV44 @ SV51 ) )
= $true )
| ( ( possibly_likes @ SV33 @ SV44 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(173,plain,
! [SV35: mu,SV45: mu,SV16: $i] :
( ( ( ~ ( a3 @ SV16 @ ( sK4_SY321 @ SV45 @ SV35 @ SV16 ) ) )
= $false )
| ( ( very_much_likes @ SV35 @ SV45 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[163]) ).
thf(174,plain,
! [SV16: $i,SV45: mu,SV35: mu] :
( ( ( ~ ~ ( very_much_likes @ SV35 @ SV45 @ ( sK4_SY321 @ SV45 @ SV35 @ SV16 ) ) )
= $false )
| ( ( very_much_likes @ SV35 @ SV45 @ SV16 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[163]) ).
thf(175,plain,
! [SV46: mu,SV36: mu,SV47: $i,SV19: $i] :
( ( ( a3 @ SV19 @ SV47 )
= $false )
| ( ( ~ ( likes @ SV36 @ SV46 @ SV47 )
| ~ ( ~ ( a1 @ SV47 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
| ~ ( ~ ( a2 @ SV47 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
| ( very_much_likes @ SV36 @ SV46 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(176,plain,
! [SV7: $i,SV26: mu,SV52: $i,SV37: $i] :
( ( ( ~ ( a1 @ SV37 @ SV52 )
| ~ ( likes @ SV26 @ pepsi @ SV52 ) )
= $true )
| ( ( likes @ SV26 @ cola @ SV37 )
= $true )
| ( ( a1 @ SV7 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(177,plain,
! [SV8: $i,SV27: mu,SV53: $i,SV38: $i] :
( ( ( ~ ( a1 @ SV38 @ SV53 )
| ~ ( likes @ SV27 @ cola @ SV53 ) )
= $true )
| ( ( likes @ SV27 @ pepsi @ SV38 )
= $true )
| ( ( a1 @ SV8 @ SV38 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(178,plain,
! [SV9: $i,SV39: $i,SV28: mu] :
( ( ( likes @ SV28 @ pepsi @ SV39 )
= $false )
| ( ( likes @ SV28 @ cola @ SV39 )
= $true )
| ( ( a2 @ SV9 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(179,plain,
! [SV10: $i,SV40: $i,SV29: mu] :
( ( ( likes @ SV29 @ cola @ SV40 )
= $false )
| ( ( likes @ SV29 @ pepsi @ SV40 )
= $true )
| ( ( a2 @ SV10 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(180,plain,
! [SV41: mu,SV30: mu,SV48: $i,SV11: $i] :
( ( ( a3 @ SV11 @ SV48 )
= $false )
| ( ( ~ ( very_much_likes @ SV30 @ SV41 @ SV48 ) )
= $true )
| ( ( likes @ SV30 @ SV41 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(181,plain,
! [SV42: mu,SV31: mu,SV49: $i,SV12: $i] :
( ( ( a1 @ SV12 @ SV49 )
= $false )
| ( ( ~ ( likes @ SV31 @ SV42 @ SV49 ) )
= $true )
| ( ( possibly_likes @ SV31 @ SV42 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(182,plain,
! [SV43: mu,SV32: mu,SV50: $i,SV13: $i] :
( ( ( a2 @ SV13 @ SV50 )
= $false )
| ( ( ~ ( likes @ SV32 @ SV43 @ SV50 ) )
= $true )
| ( ( possibly_likes @ SV32 @ SV43 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(183,plain,
! [SV44: mu,SV33: mu,SV51: $i,SV14: $i] :
( ( ( a3 @ SV14 @ SV51 )
= $false )
| ( ( ~ ( likes @ SV33 @ SV44 @ SV51 ) )
= $true )
| ( ( possibly_likes @ SV33 @ SV44 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(184,plain,
! [SV35: mu,SV45: mu,SV16: $i] :
( ( ( a3 @ SV16 @ ( sK4_SY321 @ SV45 @ SV35 @ SV16 ) )
= $true )
| ( ( very_much_likes @ SV35 @ SV45 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(185,plain,
! [SV16: $i,SV45: mu,SV35: mu] :
( ( ( ~ ( very_much_likes @ SV35 @ SV45 @ ( sK4_SY321 @ SV45 @ SV35 @ SV16 ) ) )
= $true )
| ( ( very_much_likes @ SV35 @ SV45 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(186,plain,
! [SV19: $i,SV47: $i,SV46: mu,SV36: mu] :
( ( ( ~ ( likes @ SV36 @ SV46 @ SV47 )
| ~ ( ~ ( a1 @ SV47 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
| ~ ( ~ ( a2 @ SV47 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) ) )
= $true )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(187,plain,
! [SV7: $i,SV26: mu,SV52: $i,SV37: $i] :
( ( ( ~ ( a1 @ SV37 @ SV52 ) )
= $true )
| ( ( ~ ( likes @ SV26 @ pepsi @ SV52 ) )
= $true )
| ( ( likes @ SV26 @ cola @ SV37 )
= $true )
| ( ( a1 @ SV7 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(188,plain,
! [SV8: $i,SV27: mu,SV53: $i,SV38: $i] :
( ( ( ~ ( a1 @ SV38 @ SV53 ) )
= $true )
| ( ( ~ ( likes @ SV27 @ cola @ SV53 ) )
= $true )
| ( ( likes @ SV27 @ pepsi @ SV38 )
= $true )
| ( ( a1 @ SV8 @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(189,plain,
! [SV11: $i,SV48: $i,SV41: mu,SV30: mu] :
( ( ( very_much_likes @ SV30 @ SV41 @ SV48 )
= $false )
| ( ( a3 @ SV11 @ SV48 )
= $false )
| ( ( likes @ SV30 @ SV41 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(190,plain,
! [SV12: $i,SV49: $i,SV42: mu,SV31: mu] :
( ( ( likes @ SV31 @ SV42 @ SV49 )
= $false )
| ( ( a1 @ SV12 @ SV49 )
= $false )
| ( ( possibly_likes @ SV31 @ SV42 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(191,plain,
! [SV13: $i,SV50: $i,SV43: mu,SV32: mu] :
( ( ( likes @ SV32 @ SV43 @ SV50 )
= $false )
| ( ( a2 @ SV13 @ SV50 )
= $false )
| ( ( possibly_likes @ SV32 @ SV43 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(192,plain,
! [SV14: $i,SV51: $i,SV44: mu,SV33: mu] :
( ( ( likes @ SV33 @ SV44 @ SV51 )
= $false )
| ( ( a3 @ SV14 @ SV51 )
= $false )
| ( ( possibly_likes @ SV33 @ SV44 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(193,plain,
! [SV16: $i,SV45: mu,SV35: mu] :
( ( ( very_much_likes @ SV35 @ SV45 @ ( sK4_SY321 @ SV45 @ SV35 @ SV16 ) )
= $false )
| ( ( very_much_likes @ SV35 @ SV45 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(194,plain,
! [SV19: $i,SV47: $i,SV46: mu,SV36: mu] :
( ( ( ~ ( likes @ SV36 @ SV46 @ SV47 ) )
= $true )
| ( ( ~ ( ~ ( a1 @ SV47 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
| ~ ( ~ ( a2 @ SV47 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) ) )
= $true )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(195,plain,
! [SV7: $i,SV26: mu,SV52: $i,SV37: $i] :
( ( ( a1 @ SV37 @ SV52 )
= $false )
| ( ( ~ ( likes @ SV26 @ pepsi @ SV52 ) )
= $true )
| ( ( likes @ SV26 @ cola @ SV37 )
= $true )
| ( ( a1 @ SV7 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(196,plain,
! [SV8: $i,SV27: mu,SV53: $i,SV38: $i] :
( ( ( a1 @ SV38 @ SV53 )
= $false )
| ( ( ~ ( likes @ SV27 @ cola @ SV53 ) )
= $true )
| ( ( likes @ SV27 @ pepsi @ SV38 )
= $true )
| ( ( a1 @ SV8 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(197,plain,
! [SV19: $i,SV47: $i,SV46: mu,SV36: mu] :
( ( ( likes @ SV36 @ SV46 @ SV47 )
= $false )
| ( ( ~ ( ~ ( a1 @ SV47 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
| ~ ( ~ ( a2 @ SV47 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) ) )
= $true )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(198,plain,
! [SV7: $i,SV37: $i,SV52: $i,SV26: mu] :
( ( ( likes @ SV26 @ pepsi @ SV52 )
= $false )
| ( ( a1 @ SV37 @ SV52 )
= $false )
| ( ( likes @ SV26 @ cola @ SV37 )
= $true )
| ( ( a1 @ SV7 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(199,plain,
! [SV8: $i,SV38: $i,SV53: $i,SV27: mu] :
( ( ( likes @ SV27 @ cola @ SV53 )
= $false )
| ( ( a1 @ SV38 @ SV53 )
= $false )
| ( ( likes @ SV27 @ pepsi @ SV38 )
= $true )
| ( ( a1 @ SV8 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(200,plain,
! [SV19: $i,SV36: mu,SV46: mu,SV47: $i] :
( ( ( ~ ( ~ ( a1 @ SV47 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) ) ) )
= $true )
| ( ( ~ ( ~ ( a2 @ SV47 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) ) )
= $true )
| ( ( likes @ SV36 @ SV46 @ SV47 )
= $false )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(201,plain,
! [SV19: $i,SV36: mu,SV46: mu,SV47: $i] :
( ( ( ~ ( a1 @ SV47 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
= $false )
| ( ( ~ ( ~ ( a2 @ SV47 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) ) )
= $true )
| ( ( likes @ SV36 @ SV46 @ SV47 )
= $false )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(202,plain,
! [SV19: $i,SV36: mu,SV46: mu,SV47: $i] :
( ( ( ~ ( a1 @ SV47 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
= $false )
| ( ( ~ ( ~ ( a2 @ SV47 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) ) )
= $true )
| ( ( likes @ SV36 @ SV46 @ SV47 )
= $false )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(203,plain,
! [SV19: $i,SV47: $i,SV46: mu,SV36: mu] :
( ( ( ~ ~ ( likes @ SV36 @ SV46 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
= $false )
| ( ( ~ ( ~ ( a2 @ SV47 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) ) )
= $true )
| ( ( likes @ SV36 @ SV46 @ SV47 )
= $false )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(204,plain,
! [SV19: $i,SV36: mu,SV46: mu,SV47: $i] :
( ( ( a1 @ SV47 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
= $true )
| ( ( ~ ( ~ ( a2 @ SV47 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) ) )
= $true )
| ( ( likes @ SV36 @ SV46 @ SV47 )
= $false )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(205,plain,
! [SV19: $i,SV47: $i,SV46: mu,SV36: mu] :
( ( ( ~ ( likes @ SV36 @ SV46 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
= $true )
| ( ( ~ ( ~ ( a2 @ SV47 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) ) )
= $true )
| ( ( likes @ SV36 @ SV46 @ SV47 )
= $false )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(206,plain,
! [SV19: $i,SV36: mu,SV46: mu,SV47: $i] :
( ( ( ~ ( a2 @ SV47 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
= $false )
| ( ( a1 @ SV47 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
= $true )
| ( ( likes @ SV36 @ SV46 @ SV47 )
= $false )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(207,plain,
! [SV19: $i,SV47: $i,SV46: mu,SV36: mu] :
( ( ( likes @ SV36 @ SV46 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
= $false )
| ( ( ~ ( ~ ( a2 @ SV47 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) ) )
= $true )
| ( ( likes @ SV36 @ SV46 @ SV47 )
= $false )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(208,plain,
! [SV19: $i,SV36: mu,SV46: mu,SV47: $i] :
( ( ( ~ ( a2 @ SV47 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
= $false )
| ( ( a1 @ SV47 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
= $true )
| ( ( likes @ SV36 @ SV46 @ SV47 )
= $false )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(209,plain,
! [SV19: $i,SV47: $i,SV46: mu,SV36: mu] :
( ( ( ~ ~ ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
= $false )
| ( ( a1 @ SV47 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
= $true )
| ( ( likes @ SV36 @ SV46 @ SV47 )
= $false )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(210,plain,
! [SV19: $i,SV36: mu,SV46: mu,SV47: $i] :
( ( ( ~ ( a2 @ SV47 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) )
| ~ ~ ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
= $false )
| ( ( likes @ SV36 @ SV46 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
= $false )
| ( ( likes @ SV36 @ SV46 @ SV47 )
= $false )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(211,plain,
! [SV19: $i,SV36: mu,SV46: mu,SV47: $i] :
( ( ( a2 @ SV47 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) )
= $true )
| ( ( a1 @ SV47 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
= $true )
| ( ( likes @ SV36 @ SV46 @ SV47 )
= $false )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(212,plain,
! [SV19: $i,SV47: $i,SV46: mu,SV36: mu] :
( ( ( ~ ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
= $true )
| ( ( a1 @ SV47 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
= $true )
| ( ( likes @ SV36 @ SV46 @ SV47 )
= $false )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(213,plain,
! [SV19: $i,SV36: mu,SV46: mu,SV47: $i] :
( ( ( ~ ( a2 @ SV47 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
= $false )
| ( ( likes @ SV36 @ SV46 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
= $false )
| ( ( likes @ SV36 @ SV46 @ SV47 )
= $false )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(214,plain,
! [SV19: $i,SV47: $i,SV46: mu,SV36: mu] :
( ( ( ~ ~ ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
= $false )
| ( ( likes @ SV36 @ SV46 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
= $false )
| ( ( likes @ SV36 @ SV46 @ SV47 )
= $false )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(215,plain,
! [SV19: $i,SV47: $i,SV46: mu,SV36: mu] :
( ( ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) )
= $false )
| ( ( a1 @ SV47 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
= $true )
| ( ( likes @ SV36 @ SV46 @ SV47 )
= $false )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(216,plain,
! [SV19: $i,SV36: mu,SV46: mu,SV47: $i] :
( ( ( a2 @ SV47 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) )
= $true )
| ( ( likes @ SV36 @ SV46 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
= $false )
| ( ( likes @ SV36 @ SV46 @ SV47 )
= $false )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(217,plain,
! [SV19: $i,SV47: $i,SV46: mu,SV36: mu] :
( ( ( ~ ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) ) )
= $true )
| ( ( likes @ SV36 @ SV46 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
= $false )
| ( ( likes @ SV36 @ SV46 @ SV47 )
= $false )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(218,plain,
! [SV19: $i,SV47: $i,SV46: mu,SV36: mu] :
( ( ( likes @ SV36 @ SV46 @ ( sK2_SY100 @ SV47 @ SV46 @ SV36 @ SV19 ) )
= $false )
| ( ( likes @ SV36 @ SV46 @ ( sK3_SY99 @ SV47 @ SV46 @ SV36 @ SV19 ) )
= $false )
| ( ( likes @ SV36 @ SV46 @ SV47 )
= $false )
| ( ( very_much_likes @ SV36 @ SV46 @ SV47 )
= $true )
| ( ( a3 @ SV19 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(219,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[128,218,216,215,211,199,198,193,192,191,190,189,184,179,178,153,152,151,150,140,139,138,137,136,135]) ).
thf(220,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT032^2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.17 % Computer : n006.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Oct 6 17:59:22 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.32
% 0.59/0.32 No.of.Axioms: 18
% 0.59/0.32
% 0.59/0.32 Length.of.Defs: 5293
% 0.59/0.32
% 0.59/0.32 Contains.Choice.Funs: false
% 0.59/0.32 ..............
% 0.59/0.32
% 0.59/0.32 ********************************
% 0.59/0.32 * All subproblems solved! *
% 0.59/0.32 ********************************
% 0.59/0.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:18,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:219,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 0.59/0.32
% 0.59/0.32 %**** Beginning of derivation protocol ****
% 0.59/0.32 % SZS output start CNFRefutation
% See solution above
% 0.59/0.32
% 0.59/0.32 %**** End of derivation protocol ****
% 0.59/0.32 %**** no. of clauses in derivation: 220 ****
% 0.59/0.32 %**** clause counter: 219 ****
% 0.59/0.32
% 0.59/0.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:18,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:219,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------