%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : AGT035^2 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 10:07:11 AM UTC 2026
% Result : Theorem 0.54s 0.34s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 50
% Syntax : Number of formulae : 248 ( 132 unt; 0 typ; 31 def)
% Number of atoms : 1639 ( 425 equ; 0 cnn)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 3013 ( 489 ~; 452 |; 8 &;2056 @)
% ( 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 : 52 ( 49 usr; 8 con; 0-4 aty)
% Number of variables : 761 ( 65 ^; 690 !; 6 ?; 761 :)
% 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_SY0,type,
sK1_SY0: $i ).
thf(tp_sK2_SY532,type,
sK2_SY532: $i > $i ).
thf(tp_sK3_SY533,type,
sK3_SY533: $i > $i ).
thf(tp_sK4_SY579,type,
sK4_SY579: mu > mu > $i > $i ).
thf(tp_sK5_SY584,type,
sK5_SY584: $i > mu > mu > $i > $i ).
thf(tp_sK6_SY585,type,
sK6_SY585: $i > mu > mu > $i > $i ).
thf(tp_sK7_SY585,type,
sK7_SY585: $i > mu > mu > $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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mbox) ).
thf(mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mcountersatisfiable) ).
thf(mdia,definition,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia) ).
thf(meq_ind,definition,
( meq_ind
= ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mexists_prop) ).
thf(mfalse,definition,
( mfalse
= ( mnot @ mtrue ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mfalse) ).
thf(mforall_ind,definition,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mfunctional) ).
thf(mimplied,definition,
( mimplied
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplied) ).
thf(mimplies,definition,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies) ).
thf(minvalid,definition,
( minvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minvalid) ).
thf(mnot,definition,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mpartially_functional) ).
thf(mreflexive,definition,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mreflexive) ).
thf(msatisfiable,definition,
( msatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msatisfiable) ).
thf(mserial,definition,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mtransitive) ).
thf(mtrue,definition,
( mtrue
= ( ^ [W: $i] : $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtrue) ).
thf(mvalid,definition,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mweakly_directed) ).
thf(mxor,definition,
( mxor
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_a3_4) ).
thf(7,axiom,
mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_3) ).
thf(8,axiom,
mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_2) ).
thf(9,axiom,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_a2_4) ).
thf(12,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_3) ).
thf(13,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ cola ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_2) ).
thf(14,axiom,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_a1_3) ).
thf(17,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a1_2) ).
thf(18,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a1_1) ).
thf(19,conjecture,
mvalid @ ( likes @ jan @ cola ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(20,negated_conjecture,
( ( mvalid @ ( likes @ jan @ cola ) )
= $false ),
inference(negate_conjecture,[status(cth)],[19]) ).
thf(21,plain,
( ( ! [SY0: $i] : ( likes @ jan @ cola @ SY0 ) )
= $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,
( ( ! [SY37: $i,SY38: mu,SY39: mu] :
( ~ ~ ! [SY40: $i] :
( ~ ( a3 @ SY37 @ SY40 )
| ~ ( likes @ SY38 @ SY39 @ SY40 ) )
| ( possibly_likes @ SY38 @ SY39 @ SY37 ) ) )
= $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(23,plain,
( ( ! [SY80: $i,SY81: mu,SY82: mu] :
( ~ ~ ! [SY83: $i] :
( ~ ( a2 @ SY80 @ SY83 )
| ~ ( likes @ SY81 @ SY82 @ SY83 ) )
| ( possibly_likes @ SY81 @ SY82 @ SY80 ) ) )
= $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(24,plain,
( ( ! [SY123: $i,SY124: mu,SY125: mu] :
( ~ ~ ! [SY126: $i] :
( ~ ( a1 @ SY123 @ SY126 )
| ~ ( likes @ SY124 @ SY125 @ SY126 ) )
| ( possibly_likes @ SY124 @ SY125 @ SY123 ) ) )
= $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(25,plain,
( ( ! [SY166: $i,SY167: mu,SY168: mu] :
( ~ ~ ! [SY169: $i] :
( ~ ( a3 @ SY166 @ SY169 )
| ~ ( very_much_likes @ SY167 @ SY168 @ SY169 ) )
| ( likes @ SY167 @ SY168 @ SY166 ) ) )
= $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(26,plain,
( ( ! [SY203: $i,SY204: mu,SY205: mu] :
( ~ ! [SY206: $i] :
( ~ ( a3 @ SY203 @ SY206 )
| ( very_much_likes @ SY204 @ SY205 @ SY206 ) )
| ( very_much_likes @ SY204 @ SY205 @ SY203 ) ) )
= $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(27,plain,
( ( ! [SY288: $i,SY289: mu,SY290: mu,SY291: $i] :
( ~ ( a3 @ SY288 @ SY291 )
| ~ ~ ( ~ ( likes @ SY289 @ SY290 @ SY291 )
| ~ ~ ( ~ ! [SY282: $i] :
( ~ ( a1 @ SY291 @ SY282 )
| ( likes @ SY289 @ SY290 @ SY282 ) )
| ~ ! [SY283: $i] :
( ~ ( a2 @ SY291 @ SY283 )
| ( likes @ SY289 @ SY290 @ SY283 ) ) ) )
| ( very_much_likes @ SY289 @ SY290 @ SY291 ) ) )
= $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(28,plain,
( ( ! [SY311: $i] :
~ ! [SY312: $i] :
( ~ ( a1 @ SY311 @ SY312 )
| ~ ( likes @ piotr @ beer @ SY312 ) ) )
= $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(29,plain,
( ( ! [SY326: $i] :
~ ! [SY327: $i] :
( ~ ( a3 @ SY326 @ SY327 )
| ~ ( likes @ piotr @ pepsi @ SY327 ) ) )
= $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(30,plain,
( ( ! [SY335: $i,SY336: $i] :
( ~ ( a3 @ SY335 @ SY336 )
| ( likes @ jan @ cola @ SY336 ) ) )
= $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(31,plain,
( ( ! [SY356: $i,SY357: mu,SY358: $i] :
( ~ ( a2 @ SY356 @ SY358 )
| ~ ( likes @ SY357 @ cola @ SY358 )
| ( likes @ SY357 @ pepsi @ SY358 ) ) )
= $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(32,plain,
( ( ! [SY379: $i,SY380: mu,SY381: $i] :
( ~ ( a2 @ SY379 @ SY381 )
| ~ ( likes @ SY380 @ pepsi @ SY381 )
| ( likes @ SY380 @ cola @ SY381 ) ) )
= $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(33,plain,
( ( ! [SY390: $i,SY391: $i] :
( ~ ( a1 @ SY390 @ SY391 )
| ( likes @ piotr @ beer @ SY391 ) ) )
= $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(34,plain,
( ( ! [SY399: $i,SY400: $i] :
( ~ ( a1 @ SY399 @ SY400 )
| ( likes @ piotr @ cola @ SY400 ) ) )
= $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(35,plain,
( ( ! [SY408: $i,SY409: $i] :
( ~ ( a2 @ SY408 @ SY409 )
| ( likes @ jan @ pepsi @ SY409 ) ) )
= $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(36,plain,
( ( ! [SY447: $i,SY448: mu,SY449: $i] :
( ~ ( a1 @ SY447 @ SY449 )
| ~ ~ ! [SY444: $i] :
( ~ ( a1 @ SY449 @ SY444 )
| ~ ( likes @ SY448 @ cola @ SY444 ) )
| ( likes @ SY448 @ pepsi @ SY449 ) ) )
= $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(37,plain,
( ( ! [SY490: $i,SY491: mu,SY492: $i] :
( ~ ( a1 @ SY490 @ SY492 )
| ~ ~ ! [SY487: $i] :
( ~ ( a1 @ SY492 @ SY487 )
| ~ ( likes @ SY491 @ pepsi @ SY487 ) )
| ( likes @ SY491 @ cola @ SY492 ) ) )
= $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(38,plain,
( ( ! [SY503: $i,SY504: $i] :
( ~ ( a1 @ SY503 @ SY504 )
| ( likes @ piotr @ pepsi @ SY504 ) ) )
= $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,
( ( ! [SY512: $i,SY513: $i] :
( ~ ( a1 @ SY512 @ SY513 )
| ( likes @ jan @ cola @ SY513 ) ) )
= $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,
( ( likes @ jan @ cola @ sK1_SY0 )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[21]) ).
thf(41,plain,
( ( ~ ( likes @ jan @ cola @ sK1_SY0 ) )
= $true ),
inference(polarity_switch,[status(thm)],[40]) ).
thf(42,plain,
( ( ! [SY512: $i,SY513: $i] :
( ~ ( a1 @ SY512 @ SY513 )
| ( likes @ jan @ cola @ SY513 ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(43,plain,
( ( ! [SY503: $i,SY504: $i] :
( ~ ( a1 @ SY503 @ SY504 )
| ( likes @ piotr @ pepsi @ SY504 ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(44,plain,
( ( ! [SY490: $i,SY491: mu,SY492: $i] :
( ~ ( a1 @ SY490 @ SY492 )
| ~ ~ ! [SY487: $i] :
( ~ ( a1 @ SY492 @ SY487 )
| ~ ( likes @ SY491 @ pepsi @ SY487 ) )
| ( likes @ SY491 @ cola @ SY492 ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(45,plain,
( ( ! [SY447: $i,SY448: mu,SY449: $i] :
( ~ ( a1 @ SY447 @ SY449 )
| ~ ~ ! [SY444: $i] :
( ~ ( a1 @ SY449 @ SY444 )
| ~ ( likes @ SY448 @ cola @ SY444 ) )
| ( likes @ SY448 @ pepsi @ SY449 ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(46,plain,
( ( ! [SY408: $i,SY409: $i] :
( ~ ( a2 @ SY408 @ SY409 )
| ( likes @ jan @ pepsi @ SY409 ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(47,plain,
( ( ! [SY399: $i,SY400: $i] :
( ~ ( a1 @ SY399 @ SY400 )
| ( likes @ piotr @ cola @ SY400 ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(48,plain,
( ( ! [SY390: $i,SY391: $i] :
( ~ ( a1 @ SY390 @ SY391 )
| ( likes @ piotr @ beer @ SY391 ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(49,plain,
( ( ! [SY379: $i,SY380: mu,SY381: $i] :
( ~ ( a2 @ SY379 @ SY381 )
| ~ ( likes @ SY380 @ pepsi @ SY381 )
| ( likes @ SY380 @ cola @ SY381 ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(50,plain,
( ( ! [SY356: $i,SY357: mu,SY358: $i] :
( ~ ( a2 @ SY356 @ SY358 )
| ~ ( likes @ SY357 @ cola @ SY358 )
| ( likes @ SY357 @ pepsi @ SY358 ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(51,plain,
( ( ! [SY335: $i,SY336: $i] :
( ~ ( a3 @ SY335 @ SY336 )
| ( likes @ jan @ cola @ SY336 ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(52,plain,
( ( ! [SY326: $i] :
~ ! [SY327: $i] :
( ~ ( a3 @ SY326 @ SY327 )
| ~ ( likes @ piotr @ pepsi @ SY327 ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(53,plain,
( ( ! [SY311: $i] :
~ ! [SY312: $i] :
( ~ ( a1 @ SY311 @ SY312 )
| ~ ( likes @ piotr @ beer @ SY312 ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(54,plain,
( ( ! [SY288: $i,SY289: mu,SY290: mu,SY291: $i] :
( ~ ( a3 @ SY288 @ SY291 )
| ~ ~ ( ~ ( likes @ SY289 @ SY290 @ SY291 )
| ~ ~ ( ~ ! [SY282: $i] :
( ~ ( a1 @ SY291 @ SY282 )
| ( likes @ SY289 @ SY290 @ SY282 ) )
| ~ ! [SY283: $i] :
( ~ ( a2 @ SY291 @ SY283 )
| ( likes @ SY289 @ SY290 @ SY283 ) ) ) )
| ( very_much_likes @ SY289 @ SY290 @ SY291 ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(55,plain,
( ( ! [SY203: $i,SY204: mu,SY205: mu] :
( ~ ! [SY206: $i] :
( ~ ( a3 @ SY203 @ SY206 )
| ( very_much_likes @ SY204 @ SY205 @ SY206 ) )
| ( very_much_likes @ SY204 @ SY205 @ SY203 ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(56,plain,
( ( ! [SY166: $i,SY167: mu,SY168: mu] :
( ~ ~ ! [SY169: $i] :
( ~ ( a3 @ SY166 @ SY169 )
| ~ ( very_much_likes @ SY167 @ SY168 @ SY169 ) )
| ( likes @ SY167 @ SY168 @ SY166 ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(57,plain,
( ( ! [SY123: $i,SY124: mu,SY125: mu] :
( ~ ~ ! [SY126: $i] :
( ~ ( a1 @ SY123 @ SY126 )
| ~ ( likes @ SY124 @ SY125 @ SY126 ) )
| ( possibly_likes @ SY124 @ SY125 @ SY123 ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(58,plain,
( ( ! [SY80: $i,SY81: mu,SY82: mu] :
( ~ ~ ! [SY83: $i] :
( ~ ( a2 @ SY80 @ SY83 )
| ~ ( likes @ SY81 @ SY82 @ SY83 ) )
| ( possibly_likes @ SY81 @ SY82 @ SY80 ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(59,plain,
( ( ! [SY37: $i,SY38: mu,SY39: mu] :
( ~ ~ ! [SY40: $i] :
( ~ ( a3 @ SY37 @ SY40 )
| ~ ( likes @ SY38 @ SY39 @ SY40 ) )
| ( possibly_likes @ SY38 @ SY39 @ SY37 ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(60,plain,
( ( ~ ( likes @ jan @ cola @ sK1_SY0 ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(61,plain,
! [SV1: $i] :
( ( ! [SY516: $i] :
( ~ ( a1 @ SV1 @ SY516 )
| ( likes @ jan @ cola @ SY516 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(62,plain,
! [SV2: $i] :
( ( ! [SY517: $i] :
( ~ ( a1 @ SV2 @ SY517 )
| ( likes @ piotr @ pepsi @ SY517 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(63,plain,
! [SV3: $i] :
( ( ! [SY518: mu,SY519: $i] :
( ~ ( a1 @ SV3 @ SY519 )
| ~ ~ ! [SY487: $i] :
( ~ ( a1 @ SY519 @ SY487 )
| ~ ( likes @ SY518 @ pepsi @ SY487 ) )
| ( likes @ SY518 @ cola @ SY519 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(64,plain,
! [SV4: $i] :
( ( ! [SY521: mu,SY522: $i] :
( ~ ( a1 @ SV4 @ SY522 )
| ~ ~ ! [SY444: $i] :
( ~ ( a1 @ SY522 @ SY444 )
| ~ ( likes @ SY521 @ cola @ SY444 ) )
| ( likes @ SY521 @ pepsi @ SY522 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(65,plain,
! [SV5: $i] :
( ( ! [SY524: $i] :
( ~ ( a2 @ SV5 @ SY524 )
| ( likes @ jan @ pepsi @ SY524 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(66,plain,
! [SV6: $i] :
( ( ! [SY525: $i] :
( ~ ( a1 @ SV6 @ SY525 )
| ( likes @ piotr @ cola @ SY525 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(67,plain,
! [SV7: $i] :
( ( ! [SY526: $i] :
( ~ ( a1 @ SV7 @ SY526 )
| ( likes @ piotr @ beer @ SY526 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(68,plain,
! [SV8: $i] :
( ( ! [SY527: mu,SY528: $i] :
( ~ ( a2 @ SV8 @ SY528 )
| ~ ( likes @ SY527 @ pepsi @ SY528 )
| ( likes @ SY527 @ cola @ SY528 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(69,plain,
! [SV9: $i] :
( ( ! [SY529: mu,SY530: $i] :
( ~ ( a2 @ SV9 @ SY530 )
| ~ ( likes @ SY529 @ cola @ SY530 )
| ( likes @ SY529 @ pepsi @ SY530 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(70,plain,
! [SV10: $i] :
( ( ! [SY531: $i] :
( ~ ( a3 @ SV10 @ SY531 )
| ( likes @ jan @ cola @ SY531 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(71,plain,
! [SV11: $i] :
( ( ~ ! [SY532: $i] :
( ~ ( a3 @ SV11 @ SY532 )
| ~ ( likes @ piotr @ pepsi @ SY532 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(72,plain,
! [SV12: $i] :
( ( ~ ! [SY533: $i] :
( ~ ( a1 @ SV12 @ SY533 )
| ~ ( likes @ piotr @ beer @ SY533 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(73,plain,
! [SV13: $i] :
( ( ! [SY534: mu,SY535: mu,SY536: $i] :
( ~ ( a3 @ SV13 @ SY536 )
| ~ ~ ( ~ ( likes @ SY534 @ SY535 @ SY536 )
| ~ ~ ( ~ ! [SY282: $i] :
( ~ ( a1 @ SY536 @ SY282 )
| ( likes @ SY534 @ SY535 @ SY282 ) )
| ~ ! [SY283: $i] :
( ~ ( a2 @ SY536 @ SY283 )
| ( likes @ SY534 @ SY535 @ SY283 ) ) ) )
| ( very_much_likes @ SY534 @ SY535 @ SY536 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(74,plain,
! [SV14: $i] :
( ( ! [SY539: mu,SY540: mu] :
( ~ ! [SY541: $i] :
( ~ ( a3 @ SV14 @ SY541 )
| ( very_much_likes @ SY539 @ SY540 @ SY541 ) )
| ( very_much_likes @ SY539 @ SY540 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(75,plain,
! [SV15: $i] :
( ( ! [SY542: mu,SY543: mu] :
( ~ ~ ! [SY544: $i] :
( ~ ( a3 @ SV15 @ SY544 )
| ~ ( very_much_likes @ SY542 @ SY543 @ SY544 ) )
| ( likes @ SY542 @ SY543 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(76,plain,
! [SV16: $i] :
( ( ! [SY545: mu,SY546: mu] :
( ~ ~ ! [SY547: $i] :
( ~ ( a1 @ SV16 @ SY547 )
| ~ ( likes @ SY545 @ SY546 @ SY547 ) )
| ( possibly_likes @ SY545 @ SY546 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(77,plain,
! [SV17: $i] :
( ( ! [SY548: mu,SY549: mu] :
( ~ ~ ! [SY550: $i] :
( ~ ( a2 @ SV17 @ SY550 )
| ~ ( likes @ SY548 @ SY549 @ SY550 ) )
| ( possibly_likes @ SY548 @ SY549 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(78,plain,
! [SV18: $i] :
( ( ! [SY551: mu,SY552: mu] :
( ~ ~ ! [SY553: $i] :
( ~ ( a3 @ SV18 @ SY553 )
| ~ ( likes @ SY551 @ SY552 @ SY553 ) )
| ( possibly_likes @ SY551 @ SY552 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(79,plain,
( ( likes @ jan @ cola @ sK1_SY0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(80,plain,
! [SV19: $i,SV1: $i] :
( ( ~ ( a1 @ SV1 @ SV19 )
| ( likes @ jan @ cola @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(81,plain,
! [SV20: $i,SV2: $i] :
( ( ~ ( a1 @ SV2 @ SV20 )
| ( likes @ piotr @ pepsi @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(82,plain,
! [SV21: mu,SV3: $i] :
( ( ! [SY554: $i] :
( ~ ( a1 @ SV3 @ SY554 )
| ~ ~ ! [SY555: $i] :
( ~ ( a1 @ SY554 @ SY555 )
| ~ ( likes @ SV21 @ pepsi @ SY555 ) )
| ( likes @ SV21 @ cola @ SY554 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(83,plain,
! [SV22: mu,SV4: $i] :
( ( ! [SY556: $i] :
( ~ ( a1 @ SV4 @ SY556 )
| ~ ~ ! [SY557: $i] :
( ~ ( a1 @ SY556 @ SY557 )
| ~ ( likes @ SV22 @ cola @ SY557 ) )
| ( likes @ SV22 @ pepsi @ SY556 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(84,plain,
! [SV23: $i,SV5: $i] :
( ( ~ ( a2 @ SV5 @ SV23 )
| ( likes @ jan @ pepsi @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(85,plain,
! [SV24: $i,SV6: $i] :
( ( ~ ( a1 @ SV6 @ SV24 )
| ( likes @ piotr @ cola @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(86,plain,
! [SV25: $i,SV7: $i] :
( ( ~ ( a1 @ SV7 @ SV25 )
| ( likes @ piotr @ beer @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(87,plain,
! [SV26: mu,SV8: $i] :
( ( ! [SY558: $i] :
( ~ ( a2 @ SV8 @ SY558 )
| ~ ( likes @ SV26 @ pepsi @ SY558 )
| ( likes @ SV26 @ cola @ SY558 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(88,plain,
! [SV27: mu,SV9: $i] :
( ( ! [SY559: $i] :
( ~ ( a2 @ SV9 @ SY559 )
| ~ ( likes @ SV27 @ cola @ SY559 )
| ( likes @ SV27 @ pepsi @ SY559 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(89,plain,
! [SV28: $i,SV10: $i] :
( ( ~ ( a3 @ SV10 @ SV28 )
| ( likes @ jan @ cola @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(90,plain,
! [SV11: $i] :
( ( ! [SY532: $i] :
( ~ ( a3 @ SV11 @ SY532 )
| ~ ( likes @ piotr @ pepsi @ SY532 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(91,plain,
! [SV12: $i] :
( ( ! [SY533: $i] :
( ~ ( a1 @ SV12 @ SY533 )
| ~ ( likes @ piotr @ beer @ SY533 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(92,plain,
! [SV29: mu,SV13: $i] :
( ( ! [SY560: mu,SY561: $i] :
( ~ ( a3 @ SV13 @ SY561 )
| ~ ~ ( ~ ( likes @ SV29 @ SY560 @ SY561 )
| ~ ~ ( ~ ! [SY562: $i] :
( ~ ( a1 @ SY561 @ SY562 )
| ( likes @ SV29 @ SY560 @ SY562 ) )
| ~ ! [SY563: $i] :
( ~ ( a2 @ SY561 @ SY563 )
| ( likes @ SV29 @ SY560 @ SY563 ) ) ) )
| ( very_much_likes @ SV29 @ SY560 @ SY561 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(93,plain,
! [SV30: mu,SV14: $i] :
( ( ! [SY564: mu] :
( ~ ! [SY565: $i] :
( ~ ( a3 @ SV14 @ SY565 )
| ( very_much_likes @ SV30 @ SY564 @ SY565 ) )
| ( very_much_likes @ SV30 @ SY564 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(94,plain,
! [SV31: mu,SV15: $i] :
( ( ! [SY566: mu] :
( ~ ~ ! [SY567: $i] :
( ~ ( a3 @ SV15 @ SY567 )
| ~ ( very_much_likes @ SV31 @ SY566 @ SY567 ) )
| ( likes @ SV31 @ SY566 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(95,plain,
! [SV32: mu,SV16: $i] :
( ( ! [SY568: mu] :
( ~ ~ ! [SY569: $i] :
( ~ ( a1 @ SV16 @ SY569 )
| ~ ( likes @ SV32 @ SY568 @ SY569 ) )
| ( possibly_likes @ SV32 @ SY568 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(96,plain,
! [SV33: mu,SV17: $i] :
( ( ! [SY570: mu] :
( ~ ~ ! [SY571: $i] :
( ~ ( a2 @ SV17 @ SY571 )
| ~ ( likes @ SV33 @ SY570 @ SY571 ) )
| ( possibly_likes @ SV33 @ SY570 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(97,plain,
! [SV34: mu,SV18: $i] :
( ( ! [SY572: mu] :
( ~ ~ ! [SY573: $i] :
( ~ ( a3 @ SV18 @ SY573 )
| ~ ( likes @ SV34 @ SY572 @ SY573 ) )
| ( possibly_likes @ SV34 @ SY572 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(98,plain,
! [SV19: $i,SV1: $i] :
( ( ( ~ ( a1 @ SV1 @ SV19 ) )
= $true )
| ( ( likes @ jan @ cola @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(99,plain,
! [SV20: $i,SV2: $i] :
( ( ( ~ ( a1 @ SV2 @ SV20 ) )
= $true )
| ( ( likes @ piotr @ pepsi @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(100,plain,
! [SV21: mu,SV35: $i,SV3: $i] :
( ( ~ ( a1 @ SV3 @ SV35 )
| ~ ~ ! [SY574: $i] :
( ~ ( a1 @ SV35 @ SY574 )
| ~ ( likes @ SV21 @ pepsi @ SY574 ) )
| ( likes @ SV21 @ cola @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(101,plain,
! [SV22: mu,SV36: $i,SV4: $i] :
( ( ~ ( a1 @ SV4 @ SV36 )
| ~ ~ ! [SY575: $i] :
( ~ ( a1 @ SV36 @ SY575 )
| ~ ( likes @ SV22 @ cola @ SY575 ) )
| ( likes @ SV22 @ pepsi @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(102,plain,
! [SV23: $i,SV5: $i] :
( ( ( ~ ( a2 @ SV5 @ SV23 ) )
= $true )
| ( ( likes @ jan @ pepsi @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(103,plain,
! [SV24: $i,SV6: $i] :
( ( ( ~ ( a1 @ SV6 @ SV24 ) )
= $true )
| ( ( likes @ piotr @ cola @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(104,plain,
! [SV25: $i,SV7: $i] :
( ( ( ~ ( a1 @ SV7 @ SV25 ) )
= $true )
| ( ( likes @ piotr @ beer @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(105,plain,
! [SV26: mu,SV37: $i,SV8: $i] :
( ( ~ ( a2 @ SV8 @ SV37 )
| ~ ( likes @ SV26 @ pepsi @ SV37 )
| ( likes @ SV26 @ cola @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(106,plain,
! [SV27: mu,SV38: $i,SV9: $i] :
( ( ~ ( a2 @ SV9 @ SV38 )
| ~ ( likes @ SV27 @ cola @ SV38 )
| ( likes @ SV27 @ pepsi @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(107,plain,
! [SV28: $i,SV10: $i] :
( ( ( ~ ( a3 @ SV10 @ SV28 ) )
= $true )
| ( ( likes @ jan @ cola @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(108,plain,
! [SV11: $i] :
( ( ~ ( a3 @ SV11 @ ( sK2_SY532 @ SV11 ) )
| ~ ( likes @ piotr @ pepsi @ ( sK2_SY532 @ SV11 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[90]) ).
thf(109,plain,
! [SV12: $i] :
( ( ~ ( a1 @ SV12 @ ( sK3_SY533 @ SV12 ) )
| ~ ( likes @ piotr @ beer @ ( sK3_SY533 @ SV12 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[91]) ).
thf(110,plain,
! [SV39: mu,SV29: mu,SV13: $i] :
( ( ! [SY576: $i] :
( ~ ( a3 @ SV13 @ SY576 )
| ~ ~ ( ~ ( likes @ SV29 @ SV39 @ SY576 )
| ~ ~ ( ~ ! [SY577: $i] :
( ~ ( a1 @ SY576 @ SY577 )
| ( likes @ SV29 @ SV39 @ SY577 ) )
| ~ ! [SY578: $i] :
( ~ ( a2 @ SY576 @ SY578 )
| ( likes @ SV29 @ SV39 @ SY578 ) ) ) )
| ( very_much_likes @ SV29 @ SV39 @ SY576 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(111,plain,
! [SV40: mu,SV30: mu,SV14: $i] :
( ( ~ ! [SY579: $i] :
( ~ ( a3 @ SV14 @ SY579 )
| ( very_much_likes @ SV30 @ SV40 @ SY579 ) )
| ( very_much_likes @ SV30 @ SV40 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(112,plain,
! [SV41: mu,SV31: mu,SV15: $i] :
( ( ~ ~ ! [SY580: $i] :
( ~ ( a3 @ SV15 @ SY580 )
| ~ ( very_much_likes @ SV31 @ SV41 @ SY580 ) )
| ( likes @ SV31 @ SV41 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(113,plain,
! [SV42: mu,SV32: mu,SV16: $i] :
( ( ~ ~ ! [SY581: $i] :
( ~ ( a1 @ SV16 @ SY581 )
| ~ ( likes @ SV32 @ SV42 @ SY581 ) )
| ( possibly_likes @ SV32 @ SV42 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(114,plain,
! [SV43: mu,SV33: mu,SV17: $i] :
( ( ~ ~ ! [SY582: $i] :
( ~ ( a2 @ SV17 @ SY582 )
| ~ ( likes @ SV33 @ SV43 @ SY582 ) )
| ( possibly_likes @ SV33 @ SV43 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(115,plain,
! [SV44: mu,SV34: mu,SV18: $i] :
( ( ~ ~ ! [SY583: $i] :
( ~ ( a3 @ SV18 @ SY583 )
| ~ ( likes @ SV34 @ SV44 @ SY583 ) )
| ( possibly_likes @ SV34 @ SV44 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(116,plain,
! [SV19: $i,SV1: $i] :
( ( ( a1 @ SV1 @ SV19 )
= $false )
| ( ( likes @ jan @ cola @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(117,plain,
! [SV20: $i,SV2: $i] :
( ( ( a1 @ SV2 @ SV20 )
= $false )
| ( ( likes @ piotr @ pepsi @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(118,plain,
! [SV21: mu,SV35: $i,SV3: $i] :
( ( ( ~ ( a1 @ SV3 @ SV35 ) )
= $true )
| ( ( ~ ~ ! [SY574: $i] :
( ~ ( a1 @ SV35 @ SY574 )
| ~ ( likes @ SV21 @ pepsi @ SY574 ) )
| ( likes @ SV21 @ cola @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(119,plain,
! [SV22: mu,SV36: $i,SV4: $i] :
( ( ( ~ ( a1 @ SV4 @ SV36 ) )
= $true )
| ( ( ~ ~ ! [SY575: $i] :
( ~ ( a1 @ SV36 @ SY575 )
| ~ ( likes @ SV22 @ cola @ SY575 ) )
| ( likes @ SV22 @ pepsi @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(120,plain,
! [SV23: $i,SV5: $i] :
( ( ( a2 @ SV5 @ SV23 )
= $false )
| ( ( likes @ jan @ pepsi @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(121,plain,
! [SV24: $i,SV6: $i] :
( ( ( a1 @ SV6 @ SV24 )
= $false )
| ( ( likes @ piotr @ cola @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(122,plain,
! [SV25: $i,SV7: $i] :
( ( ( a1 @ SV7 @ SV25 )
= $false )
| ( ( likes @ piotr @ beer @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(123,plain,
! [SV26: mu,SV37: $i,SV8: $i] :
( ( ( ~ ( a2 @ SV8 @ SV37 ) )
= $true )
| ( ( ~ ( likes @ SV26 @ pepsi @ SV37 )
| ( likes @ SV26 @ cola @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(124,plain,
! [SV27: mu,SV38: $i,SV9: $i] :
( ( ( ~ ( a2 @ SV9 @ SV38 ) )
= $true )
| ( ( ~ ( likes @ SV27 @ cola @ SV38 )
| ( likes @ SV27 @ pepsi @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(125,plain,
! [SV28: $i,SV10: $i] :
( ( ( a3 @ SV10 @ SV28 )
= $false )
| ( ( likes @ jan @ cola @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(126,plain,
! [SV11: $i] :
( ( ~ ( a3 @ SV11 @ ( sK2_SY532 @ SV11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(127,plain,
! [SV11: $i] :
( ( ~ ( likes @ piotr @ pepsi @ ( sK2_SY532 @ SV11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(128,plain,
! [SV12: $i] :
( ( ~ ( a1 @ SV12 @ ( sK3_SY533 @ SV12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(129,plain,
! [SV12: $i] :
( ( ~ ( likes @ piotr @ beer @ ( sK3_SY533 @ SV12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(130,plain,
! [SV39: mu,SV29: mu,SV45: $i,SV13: $i] :
( ( ~ ( a3 @ SV13 @ SV45 )
| ~ ~ ( ~ ( likes @ SV29 @ SV39 @ SV45 )
| ~ ~ ( ~ ! [SY584: $i] :
( ~ ( a1 @ SV45 @ SY584 )
| ( likes @ SV29 @ SV39 @ SY584 ) )
| ~ ! [SY585: $i] :
( ~ ( a2 @ SV45 @ SY585 )
| ( likes @ SV29 @ SV39 @ SY585 ) ) ) )
| ( very_much_likes @ SV29 @ SV39 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(131,plain,
! [SV40: mu,SV30: mu,SV14: $i] :
( ( ( ~ ! [SY579: $i] :
( ~ ( a3 @ SV14 @ SY579 )
| ( very_much_likes @ SV30 @ SV40 @ SY579 ) ) )
= $true )
| ( ( very_much_likes @ SV30 @ SV40 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(132,plain,
! [SV41: mu,SV31: mu,SV15: $i] :
( ( ( ~ ~ ! [SY580: $i] :
( ~ ( a3 @ SV15 @ SY580 )
| ~ ( very_much_likes @ SV31 @ SV41 @ SY580 ) ) )
= $true )
| ( ( likes @ SV31 @ SV41 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(133,plain,
! [SV42: mu,SV32: mu,SV16: $i] :
( ( ( ~ ~ ! [SY581: $i] :
( ~ ( a1 @ SV16 @ SY581 )
| ~ ( likes @ SV32 @ SV42 @ SY581 ) ) )
= $true )
| ( ( possibly_likes @ SV32 @ SV42 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(134,plain,
! [SV43: mu,SV33: mu,SV17: $i] :
( ( ( ~ ~ ! [SY582: $i] :
( ~ ( a2 @ SV17 @ SY582 )
| ~ ( likes @ SV33 @ SV43 @ SY582 ) ) )
= $true )
| ( ( possibly_likes @ SV33 @ SV43 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(135,plain,
! [SV44: mu,SV34: mu,SV18: $i] :
( ( ( ~ ~ ! [SY583: $i] :
( ~ ( a3 @ SV18 @ SY583 )
| ~ ( likes @ SV34 @ SV44 @ SY583 ) ) )
= $true )
| ( ( possibly_likes @ SV34 @ SV44 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(136,plain,
! [SV21: mu,SV35: $i,SV3: $i] :
( ( ( a1 @ SV3 @ SV35 )
= $false )
| ( ( ~ ~ ! [SY574: $i] :
( ~ ( a1 @ SV35 @ SY574 )
| ~ ( likes @ SV21 @ pepsi @ SY574 ) )
| ( likes @ SV21 @ cola @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(137,plain,
! [SV22: mu,SV36: $i,SV4: $i] :
( ( ( a1 @ SV4 @ SV36 )
= $false )
| ( ( ~ ~ ! [SY575: $i] :
( ~ ( a1 @ SV36 @ SY575 )
| ~ ( likes @ SV22 @ cola @ SY575 ) )
| ( likes @ SV22 @ pepsi @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(138,plain,
! [SV26: mu,SV37: $i,SV8: $i] :
( ( ( a2 @ SV8 @ SV37 )
= $false )
| ( ( ~ ( likes @ SV26 @ pepsi @ SV37 )
| ( likes @ SV26 @ cola @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(139,plain,
! [SV27: mu,SV38: $i,SV9: $i] :
( ( ( a2 @ SV9 @ SV38 )
= $false )
| ( ( ~ ( likes @ SV27 @ cola @ SV38 )
| ( likes @ SV27 @ pepsi @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(140,plain,
! [SV11: $i] :
( ( a3 @ SV11 @ ( sK2_SY532 @ SV11 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(141,plain,
! [SV11: $i] :
( ( likes @ piotr @ pepsi @ ( sK2_SY532 @ SV11 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[127]) ).
thf(142,plain,
! [SV12: $i] :
( ( a1 @ SV12 @ ( sK3_SY533 @ SV12 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(143,plain,
! [SV12: $i] :
( ( likes @ piotr @ beer @ ( sK3_SY533 @ SV12 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(144,plain,
! [SV39: mu,SV29: mu,SV45: $i,SV13: $i] :
( ( ( ~ ( a3 @ SV13 @ SV45 ) )
= $true )
| ( ( ~ ~ ( ~ ( likes @ SV29 @ SV39 @ SV45 )
| ~ ~ ( ~ ! [SY584: $i] :
( ~ ( a1 @ SV45 @ SY584 )
| ( likes @ SV29 @ SV39 @ SY584 ) )
| ~ ! [SY585: $i] :
( ~ ( a2 @ SV45 @ SY585 )
| ( likes @ SV29 @ SV39 @ SY585 ) ) ) )
| ( very_much_likes @ SV29 @ SV39 @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(145,plain,
! [SV40: mu,SV30: mu,SV14: $i] :
( ( ( ! [SY579: $i] :
( ~ ( a3 @ SV14 @ SY579 )
| ( very_much_likes @ SV30 @ SV40 @ SY579 ) ) )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(146,plain,
! [SV41: mu,SV31: mu,SV15: $i] :
( ( ( ~ ! [SY580: $i] :
( ~ ( a3 @ SV15 @ SY580 )
| ~ ( very_much_likes @ SV31 @ SV41 @ SY580 ) ) )
= $false )
| ( ( likes @ SV31 @ SV41 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(147,plain,
! [SV42: mu,SV32: mu,SV16: $i] :
( ( ( ~ ! [SY581: $i] :
( ~ ( a1 @ SV16 @ SY581 )
| ~ ( likes @ SV32 @ SV42 @ SY581 ) ) )
= $false )
| ( ( possibly_likes @ SV32 @ SV42 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(148,plain,
! [SV43: mu,SV33: mu,SV17: $i] :
( ( ( ~ ! [SY582: $i] :
( ~ ( a2 @ SV17 @ SY582 )
| ~ ( likes @ SV33 @ SV43 @ SY582 ) ) )
= $false )
| ( ( possibly_likes @ SV33 @ SV43 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(149,plain,
! [SV44: mu,SV34: mu,SV18: $i] :
( ( ( ~ ! [SY583: $i] :
( ~ ( a3 @ SV18 @ SY583 )
| ~ ( likes @ SV34 @ SV44 @ SY583 ) ) )
= $false )
| ( ( possibly_likes @ SV34 @ SV44 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(150,plain,
! [SV3: $i,SV21: mu,SV35: $i] :
( ( ( ~ ~ ! [SY574: $i] :
( ~ ( a1 @ SV35 @ SY574 )
| ~ ( likes @ SV21 @ pepsi @ SY574 ) ) )
= $true )
| ( ( likes @ SV21 @ cola @ SV35 )
= $true )
| ( ( a1 @ SV3 @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(151,plain,
! [SV4: $i,SV22: mu,SV36: $i] :
( ( ( ~ ~ ! [SY575: $i] :
( ~ ( a1 @ SV36 @ SY575 )
| ~ ( likes @ SV22 @ cola @ SY575 ) ) )
= $true )
| ( ( likes @ SV22 @ pepsi @ SV36 )
= $true )
| ( ( a1 @ SV4 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(152,plain,
! [SV8: $i,SV37: $i,SV26: mu] :
( ( ( ~ ( likes @ SV26 @ pepsi @ SV37 ) )
= $true )
| ( ( likes @ SV26 @ cola @ SV37 )
= $true )
| ( ( a2 @ SV8 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(153,plain,
! [SV9: $i,SV38: $i,SV27: mu] :
( ( ( ~ ( likes @ SV27 @ cola @ SV38 ) )
= $true )
| ( ( likes @ SV27 @ pepsi @ SV38 )
= $true )
| ( ( a2 @ SV9 @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(154,plain,
! [SV39: mu,SV29: mu,SV45: $i,SV13: $i] :
( ( ( a3 @ SV13 @ SV45 )
= $false )
| ( ( ~ ~ ( ~ ( likes @ SV29 @ SV39 @ SV45 )
| ~ ~ ( ~ ! [SY584: $i] :
( ~ ( a1 @ SV45 @ SY584 )
| ( likes @ SV29 @ SV39 @ SY584 ) )
| ~ ! [SY585: $i] :
( ~ ( a2 @ SV45 @ SY585 )
| ( likes @ SV29 @ SV39 @ SY585 ) ) ) )
| ( very_much_likes @ SV29 @ SV39 @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(155,plain,
! [SV30: mu,SV40: mu,SV14: $i] :
( ( ( ~ ( a3 @ SV14 @ ( sK4_SY579 @ SV40 @ SV30 @ SV14 ) )
| ( very_much_likes @ SV30 @ SV40 @ ( sK4_SY579 @ SV40 @ SV30 @ SV14 ) ) )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV14 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[145]) ).
thf(156,plain,
! [SV41: mu,SV31: mu,SV15: $i] :
( ( ( ! [SY580: $i] :
( ~ ( a3 @ SV15 @ SY580 )
| ~ ( very_much_likes @ SV31 @ SV41 @ SY580 ) ) )
= $true )
| ( ( likes @ SV31 @ SV41 @ SV15 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(157,plain,
! [SV42: mu,SV32: mu,SV16: $i] :
( ( ( ! [SY581: $i] :
( ~ ( a1 @ SV16 @ SY581 )
| ~ ( likes @ SV32 @ SV42 @ SY581 ) ) )
= $true )
| ( ( possibly_likes @ SV32 @ SV42 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(158,plain,
! [SV43: mu,SV33: mu,SV17: $i] :
( ( ( ! [SY582: $i] :
( ~ ( a2 @ SV17 @ SY582 )
| ~ ( likes @ SV33 @ SV43 @ SY582 ) ) )
= $true )
| ( ( possibly_likes @ SV33 @ SV43 @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(159,plain,
! [SV44: mu,SV34: mu,SV18: $i] :
( ( ( ! [SY583: $i] :
( ~ ( a3 @ SV18 @ SY583 )
| ~ ( likes @ SV34 @ SV44 @ SY583 ) ) )
= $true )
| ( ( possibly_likes @ SV34 @ SV44 @ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(160,plain,
! [SV3: $i,SV21: mu,SV35: $i] :
( ( ( ~ ! [SY574: $i] :
( ~ ( a1 @ SV35 @ SY574 )
| ~ ( likes @ SV21 @ pepsi @ SY574 ) ) )
= $false )
| ( ( likes @ SV21 @ cola @ SV35 )
= $true )
| ( ( a1 @ SV3 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(161,plain,
! [SV4: $i,SV22: mu,SV36: $i] :
( ( ( ~ ! [SY575: $i] :
( ~ ( a1 @ SV36 @ SY575 )
| ~ ( likes @ SV22 @ cola @ SY575 ) ) )
= $false )
| ( ( likes @ SV22 @ pepsi @ SV36 )
= $true )
| ( ( a1 @ SV4 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(162,plain,
! [SV8: $i,SV37: $i,SV26: mu] :
( ( ( likes @ SV26 @ pepsi @ SV37 )
= $false )
| ( ( likes @ SV26 @ cola @ SV37 )
= $true )
| ( ( a2 @ SV8 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(163,plain,
! [SV9: $i,SV38: $i,SV27: mu] :
( ( ( likes @ SV27 @ cola @ SV38 )
= $false )
| ( ( likes @ SV27 @ pepsi @ SV38 )
= $true )
| ( ( a2 @ SV9 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(164,plain,
! [SV13: $i,SV45: $i,SV39: mu,SV29: mu] :
( ( ( ~ ~ ( ~ ( likes @ SV29 @ SV39 @ SV45 )
| ~ ~ ( ~ ! [SY584: $i] :
( ~ ( a1 @ SV45 @ SY584 )
| ( likes @ SV29 @ SV39 @ SY584 ) )
| ~ ! [SY585: $i] :
( ~ ( a2 @ SV45 @ SY585 )
| ( likes @ SV29 @ SV39 @ SY585 ) ) ) ) )
= $true )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(165,plain,
! [SV30: mu,SV40: mu,SV14: $i] :
( ( ( ~ ( a3 @ SV14 @ ( sK4_SY579 @ SV40 @ SV30 @ SV14 ) ) )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(166,plain,
! [SV14: $i,SV40: mu,SV30: mu] :
( ( ( very_much_likes @ SV30 @ SV40 @ ( sK4_SY579 @ SV40 @ SV30 @ SV14 ) )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(167,plain,
! [SV41: mu,SV31: mu,SV46: $i,SV15: $i] :
( ( ( ~ ( a3 @ SV15 @ SV46 )
| ~ ( very_much_likes @ SV31 @ SV41 @ SV46 ) )
= $true )
| ( ( likes @ SV31 @ SV41 @ SV15 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(168,plain,
! [SV42: mu,SV32: mu,SV47: $i,SV16: $i] :
( ( ( ~ ( a1 @ SV16 @ SV47 )
| ~ ( likes @ SV32 @ SV42 @ SV47 ) )
= $true )
| ( ( possibly_likes @ SV32 @ SV42 @ SV16 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(169,plain,
! [SV43: mu,SV33: mu,SV48: $i,SV17: $i] :
( ( ( ~ ( a2 @ SV17 @ SV48 )
| ~ ( likes @ SV33 @ SV43 @ SV48 ) )
= $true )
| ( ( possibly_likes @ SV33 @ SV43 @ SV17 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(170,plain,
! [SV44: mu,SV34: mu,SV49: $i,SV18: $i] :
( ( ( ~ ( a3 @ SV18 @ SV49 )
| ~ ( likes @ SV34 @ SV44 @ SV49 ) )
= $true )
| ( ( possibly_likes @ SV34 @ SV44 @ SV18 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(171,plain,
! [SV3: $i,SV21: mu,SV35: $i] :
( ( ( ! [SY574: $i] :
( ~ ( a1 @ SV35 @ SY574 )
| ~ ( likes @ SV21 @ pepsi @ SY574 ) ) )
= $true )
| ( ( likes @ SV21 @ cola @ SV35 )
= $true )
| ( ( a1 @ SV3 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(172,plain,
! [SV4: $i,SV22: mu,SV36: $i] :
( ( ( ! [SY575: $i] :
( ~ ( a1 @ SV36 @ SY575 )
| ~ ( likes @ SV22 @ cola @ SY575 ) ) )
= $true )
| ( ( likes @ SV22 @ pepsi @ SV36 )
= $true )
| ( ( a1 @ SV4 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(173,plain,
! [SV13: $i,SV45: $i,SV39: mu,SV29: mu] :
( ( ( ~ ( ~ ( likes @ SV29 @ SV39 @ SV45 )
| ~ ~ ( ~ ! [SY584: $i] :
( ~ ( a1 @ SV45 @ SY584 )
| ( likes @ SV29 @ SV39 @ SY584 ) )
| ~ ! [SY585: $i] :
( ~ ( a2 @ SV45 @ SY585 )
| ( likes @ SV29 @ SV39 @ SY585 ) ) ) ) )
= $false )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(174,plain,
! [SV30: mu,SV40: mu,SV14: $i] :
( ( ( a3 @ SV14 @ ( sK4_SY579 @ SV40 @ SV30 @ SV14 ) )
= $true )
| ( ( very_much_likes @ SV30 @ SV40 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(175,plain,
! [SV41: mu,SV31: mu,SV46: $i,SV15: $i] :
( ( ( ~ ( a3 @ SV15 @ SV46 ) )
= $true )
| ( ( ~ ( very_much_likes @ SV31 @ SV41 @ SV46 ) )
= $true )
| ( ( likes @ SV31 @ SV41 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(176,plain,
! [SV42: mu,SV32: mu,SV47: $i,SV16: $i] :
( ( ( ~ ( a1 @ SV16 @ SV47 ) )
= $true )
| ( ( ~ ( likes @ SV32 @ SV42 @ SV47 ) )
= $true )
| ( ( possibly_likes @ SV32 @ SV42 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(177,plain,
! [SV43: mu,SV33: mu,SV48: $i,SV17: $i] :
( ( ( ~ ( a2 @ SV17 @ SV48 ) )
= $true )
| ( ( ~ ( likes @ SV33 @ SV43 @ SV48 ) )
= $true )
| ( ( possibly_likes @ SV33 @ SV43 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(178,plain,
! [SV44: mu,SV34: mu,SV49: $i,SV18: $i] :
( ( ( ~ ( a3 @ SV18 @ SV49 ) )
= $true )
| ( ( ~ ( likes @ SV34 @ SV44 @ SV49 ) )
= $true )
| ( ( possibly_likes @ SV34 @ SV44 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(179,plain,
! [SV3: $i,SV21: mu,SV50: $i,SV35: $i] :
( ( ( ~ ( a1 @ SV35 @ SV50 )
| ~ ( likes @ SV21 @ pepsi @ SV50 ) )
= $true )
| ( ( likes @ SV21 @ cola @ SV35 )
= $true )
| ( ( a1 @ SV3 @ SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(180,plain,
! [SV4: $i,SV22: mu,SV51: $i,SV36: $i] :
( ( ( ~ ( a1 @ SV36 @ SV51 )
| ~ ( likes @ SV22 @ cola @ SV51 ) )
= $true )
| ( ( likes @ SV22 @ pepsi @ SV36 )
= $true )
| ( ( a1 @ SV4 @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(181,plain,
! [SV13: $i,SV45: $i,SV39: mu,SV29: mu] :
( ( ( ~ ( likes @ SV29 @ SV39 @ SV45 )
| ~ ~ ( ~ ! [SY584: $i] :
( ~ ( a1 @ SV45 @ SY584 )
| ( likes @ SV29 @ SV39 @ SY584 ) )
| ~ ! [SY585: $i] :
( ~ ( a2 @ SV45 @ SY585 )
| ( likes @ SV29 @ SV39 @ SY585 ) ) ) )
= $true )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(182,plain,
! [SV41: mu,SV31: mu,SV46: $i,SV15: $i] :
( ( ( a3 @ SV15 @ SV46 )
= $false )
| ( ( ~ ( very_much_likes @ SV31 @ SV41 @ SV46 ) )
= $true )
| ( ( likes @ SV31 @ SV41 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(183,plain,
! [SV42: mu,SV32: mu,SV47: $i,SV16: $i] :
( ( ( a1 @ SV16 @ SV47 )
= $false )
| ( ( ~ ( likes @ SV32 @ SV42 @ SV47 ) )
= $true )
| ( ( possibly_likes @ SV32 @ SV42 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(184,plain,
! [SV43: mu,SV33: mu,SV48: $i,SV17: $i] :
( ( ( a2 @ SV17 @ SV48 )
= $false )
| ( ( ~ ( likes @ SV33 @ SV43 @ SV48 ) )
= $true )
| ( ( possibly_likes @ SV33 @ SV43 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(185,plain,
! [SV44: mu,SV34: mu,SV49: $i,SV18: $i] :
( ( ( a3 @ SV18 @ SV49 )
= $false )
| ( ( ~ ( likes @ SV34 @ SV44 @ SV49 ) )
= $true )
| ( ( possibly_likes @ SV34 @ SV44 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(186,plain,
! [SV3: $i,SV21: mu,SV50: $i,SV35: $i] :
( ( ( ~ ( a1 @ SV35 @ SV50 ) )
= $true )
| ( ( ~ ( likes @ SV21 @ pepsi @ SV50 ) )
= $true )
| ( ( likes @ SV21 @ cola @ SV35 )
= $true )
| ( ( a1 @ SV3 @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(187,plain,
! [SV4: $i,SV22: mu,SV51: $i,SV36: $i] :
( ( ( ~ ( a1 @ SV36 @ SV51 ) )
= $true )
| ( ( ~ ( likes @ SV22 @ cola @ SV51 ) )
= $true )
| ( ( likes @ SV22 @ pepsi @ SV36 )
= $true )
| ( ( a1 @ SV4 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(188,plain,
! [SV13: $i,SV45: $i,SV39: mu,SV29: mu] :
( ( ( ~ ( likes @ SV29 @ SV39 @ SV45 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY584: $i] :
( ~ ( a1 @ SV45 @ SY584 )
| ( likes @ SV29 @ SV39 @ SY584 ) )
| ~ ! [SY585: $i] :
( ~ ( a2 @ SV45 @ SY585 )
| ( likes @ SV29 @ SV39 @ SY585 ) ) ) )
= $true )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(189,plain,
! [SV15: $i,SV46: $i,SV41: mu,SV31: mu] :
( ( ( very_much_likes @ SV31 @ SV41 @ SV46 )
= $false )
| ( ( a3 @ SV15 @ SV46 )
= $false )
| ( ( likes @ SV31 @ SV41 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(190,plain,
! [SV16: $i,SV47: $i,SV42: mu,SV32: mu] :
( ( ( likes @ SV32 @ SV42 @ SV47 )
= $false )
| ( ( a1 @ SV16 @ SV47 )
= $false )
| ( ( possibly_likes @ SV32 @ SV42 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(191,plain,
! [SV17: $i,SV48: $i,SV43: mu,SV33: mu] :
( ( ( likes @ SV33 @ SV43 @ SV48 )
= $false )
| ( ( a2 @ SV17 @ SV48 )
= $false )
| ( ( possibly_likes @ SV33 @ SV43 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(192,plain,
! [SV18: $i,SV49: $i,SV44: mu,SV34: mu] :
( ( ( likes @ SV34 @ SV44 @ SV49 )
= $false )
| ( ( a3 @ SV18 @ SV49 )
= $false )
| ( ( possibly_likes @ SV34 @ SV44 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(193,plain,
! [SV3: $i,SV21: mu,SV50: $i,SV35: $i] :
( ( ( a1 @ SV35 @ SV50 )
= $false )
| ( ( ~ ( likes @ SV21 @ pepsi @ SV50 ) )
= $true )
| ( ( likes @ SV21 @ cola @ SV35 )
= $true )
| ( ( a1 @ SV3 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(194,plain,
! [SV4: $i,SV22: mu,SV51: $i,SV36: $i] :
( ( ( a1 @ SV36 @ SV51 )
= $false )
| ( ( ~ ( likes @ SV22 @ cola @ SV51 ) )
= $true )
| ( ( likes @ SV22 @ pepsi @ SV36 )
= $true )
| ( ( a1 @ SV4 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(195,plain,
! [SV13: $i,SV45: $i,SV39: mu,SV29: mu] :
( ( ( likes @ SV29 @ SV39 @ SV45 )
= $false )
| ( ( ~ ~ ( ~ ! [SY584: $i] :
( ~ ( a1 @ SV45 @ SY584 )
| ( likes @ SV29 @ SV39 @ SY584 ) )
| ~ ! [SY585: $i] :
( ~ ( a2 @ SV45 @ SY585 )
| ( likes @ SV29 @ SV39 @ SY585 ) ) ) )
= $true )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(196,plain,
! [SV3: $i,SV35: $i,SV50: $i,SV21: mu] :
( ( ( likes @ SV21 @ pepsi @ SV50 )
= $false )
| ( ( a1 @ SV35 @ SV50 )
= $false )
| ( ( likes @ SV21 @ cola @ SV35 )
= $true )
| ( ( a1 @ SV3 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(197,plain,
! [SV4: $i,SV36: $i,SV51: $i,SV22: mu] :
( ( ( likes @ SV22 @ cola @ SV51 )
= $false )
| ( ( a1 @ SV36 @ SV51 )
= $false )
| ( ( likes @ SV22 @ pepsi @ SV36 )
= $true )
| ( ( a1 @ SV4 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(198,plain,
! [SV13: $i,SV39: mu,SV29: mu,SV45: $i] :
( ( ( ~ ( ~ ! [SY584: $i] :
( ~ ( a1 @ SV45 @ SY584 )
| ( likes @ SV29 @ SV39 @ SY584 ) )
| ~ ! [SY585: $i] :
( ~ ( a2 @ SV45 @ SY585 )
| ( likes @ SV29 @ SV39 @ SY585 ) ) ) )
= $false )
| ( ( likes @ SV29 @ SV39 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(199,plain,
! [SV13: $i,SV39: mu,SV29: mu,SV45: $i] :
( ( ( ~ ! [SY584: $i] :
( ~ ( a1 @ SV45 @ SY584 )
| ( likes @ SV29 @ SV39 @ SY584 ) )
| ~ ! [SY585: $i] :
( ~ ( a2 @ SV45 @ SY585 )
| ( likes @ SV29 @ SV39 @ SY585 ) ) )
= $true )
| ( ( likes @ SV29 @ SV39 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(200,plain,
! [SV13: $i,SV39: mu,SV29: mu,SV45: $i] :
( ( ( ~ ! [SY584: $i] :
( ~ ( a1 @ SV45 @ SY584 )
| ( likes @ SV29 @ SV39 @ SY584 ) ) )
= $true )
| ( ( ~ ! [SY585: $i] :
( ~ ( a2 @ SV45 @ SY585 )
| ( likes @ SV29 @ SV39 @ SY585 ) ) )
= $true )
| ( ( likes @ SV29 @ SV39 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(201,plain,
! [SV13: $i,SV39: mu,SV29: mu,SV45: $i] :
( ( ( ! [SY584: $i] :
( ~ ( a1 @ SV45 @ SY584 )
| ( likes @ SV29 @ SV39 @ SY584 ) ) )
= $false )
| ( ( ~ ! [SY585: $i] :
( ~ ( a2 @ SV45 @ SY585 )
| ( likes @ SV29 @ SV39 @ SY585 ) ) )
= $true )
| ( ( likes @ SV29 @ SV39 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(202,plain,
! [SV29: mu,SV39: mu,SV13: $i,SV45: $i] :
( ( ( ~ ( a1 @ SV45 @ ( sK5_SY584 @ SV13 @ SV39 @ SV29 @ SV45 ) )
| ( likes @ SV29 @ SV39 @ ( sK5_SY584 @ SV13 @ SV39 @ SV29 @ SV45 ) ) )
= $false )
| ( ( ~ ! [SY585: $i] :
( ~ ( a2 @ SV45 @ SY585 )
| ( likes @ SV29 @ SV39 @ SY585 ) ) )
= $true )
| ( ( likes @ SV29 @ SV39 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[201]) ).
thf(203,plain,
! [SV29: mu,SV39: mu,SV13: $i,SV45: $i] :
( ( ( ~ ( a1 @ SV45 @ ( sK5_SY584 @ SV13 @ SV39 @ SV29 @ SV45 ) ) )
= $false )
| ( ( ~ ! [SY585: $i] :
( ~ ( a2 @ SV45 @ SY585 )
| ( likes @ SV29 @ SV39 @ SY585 ) ) )
= $true )
| ( ( likes @ SV29 @ SV39 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(204,plain,
! [SV45: $i,SV13: $i,SV39: mu,SV29: mu] :
( ( ( likes @ SV29 @ SV39 @ ( sK5_SY584 @ SV13 @ SV39 @ SV29 @ SV45 ) )
= $false )
| ( ( ~ ! [SY585: $i] :
( ~ ( a2 @ SV45 @ SY585 )
| ( likes @ SV29 @ SV39 @ SY585 ) ) )
= $true )
| ( ( likes @ SV29 @ SV39 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(205,plain,
! [SV29: mu,SV39: mu,SV13: $i,SV45: $i] :
( ( ( a1 @ SV45 @ ( sK5_SY584 @ SV13 @ SV39 @ SV29 @ SV45 ) )
= $true )
| ( ( ~ ! [SY585: $i] :
( ~ ( a2 @ SV45 @ SY585 )
| ( likes @ SV29 @ SV39 @ SY585 ) ) )
= $true )
| ( ( likes @ SV29 @ SV39 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(206,plain,
! [SV13: $i,SV39: mu,SV29: mu,SV45: $i] :
( ( ( ! [SY585: $i] :
( ~ ( a2 @ SV45 @ SY585 )
| ( likes @ SV29 @ SV39 @ SY585 ) ) )
= $false )
| ( ( likes @ SV29 @ SV39 @ ( sK5_SY584 @ SV13 @ SV39 @ SV29 @ SV45 ) )
= $false )
| ( ( likes @ SV29 @ SV39 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(207,plain,
! [SV13: $i,SV39: mu,SV29: mu,SV45: $i] :
( ( ( ! [SY585: $i] :
( ~ ( a2 @ SV45 @ SY585 )
| ( likes @ SV29 @ SV39 @ SY585 ) ) )
= $false )
| ( ( a1 @ SV45 @ ( sK5_SY584 @ SV13 @ SV39 @ SV29 @ SV45 ) )
= $true )
| ( ( likes @ SV29 @ SV39 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(208,plain,
! [SV29: mu,SV39: mu,SV13: $i,SV45: $i] :
( ( ( ~ ( a2 @ SV45 @ ( sK6_SY585 @ SV13 @ SV39 @ SV29 @ SV45 ) )
| ( likes @ SV29 @ SV39 @ ( sK6_SY585 @ SV13 @ SV39 @ SV29 @ SV45 ) ) )
= $false )
| ( ( likes @ SV29 @ SV39 @ ( sK5_SY584 @ SV13 @ SV39 @ SV29 @ SV45 ) )
= $false )
| ( ( likes @ SV29 @ SV39 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[206]) ).
thf(209,plain,
! [SV29: mu,SV39: mu,SV13: $i,SV45: $i] :
( ( ( ~ ( a2 @ SV45 @ ( sK7_SY585 @ SV13 @ SV39 @ SV29 @ SV45 ) )
| ( likes @ SV29 @ SV39 @ ( sK7_SY585 @ SV13 @ SV39 @ SV29 @ SV45 ) ) )
= $false )
| ( ( a1 @ SV45 @ ( sK5_SY584 @ SV13 @ SV39 @ SV29 @ SV45 ) )
= $true )
| ( ( likes @ SV29 @ SV39 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[207]) ).
thf(210,plain,
! [SV29: mu,SV39: mu,SV13: $i,SV45: $i] :
( ( ( ~ ( a2 @ SV45 @ ( sK6_SY585 @ SV13 @ SV39 @ SV29 @ SV45 ) ) )
= $false )
| ( ( likes @ SV29 @ SV39 @ ( sK5_SY584 @ SV13 @ SV39 @ SV29 @ SV45 ) )
= $false )
| ( ( likes @ SV29 @ SV39 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[208]) ).
thf(211,plain,
! [SV45: $i,SV13: $i,SV39: mu,SV29: mu] :
( ( ( likes @ SV29 @ SV39 @ ( sK6_SY585 @ SV13 @ SV39 @ SV29 @ SV45 ) )
= $false )
| ( ( likes @ SV29 @ SV39 @ ( sK5_SY584 @ SV13 @ SV39 @ SV29 @ SV45 ) )
= $false )
| ( ( likes @ SV29 @ SV39 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[208]) ).
thf(212,plain,
! [SV29: mu,SV39: mu,SV13: $i,SV45: $i] :
( ( ( ~ ( a2 @ SV45 @ ( sK7_SY585 @ SV13 @ SV39 @ SV29 @ SV45 ) ) )
= $false )
| ( ( a1 @ SV45 @ ( sK5_SY584 @ SV13 @ SV39 @ SV29 @ SV45 ) )
= $true )
| ( ( likes @ SV29 @ SV39 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(213,plain,
! [SV45: $i,SV13: $i,SV39: mu,SV29: mu] :
( ( ( likes @ SV29 @ SV39 @ ( sK7_SY585 @ SV13 @ SV39 @ SV29 @ SV45 ) )
= $false )
| ( ( a1 @ SV45 @ ( sK5_SY584 @ SV13 @ SV39 @ SV29 @ SV45 ) )
= $true )
| ( ( likes @ SV29 @ SV39 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(214,plain,
! [SV29: mu,SV39: mu,SV13: $i,SV45: $i] :
( ( ( a2 @ SV45 @ ( sK6_SY585 @ SV13 @ SV39 @ SV29 @ SV45 ) )
= $true )
| ( ( likes @ SV29 @ SV39 @ ( sK5_SY584 @ SV13 @ SV39 @ SV29 @ SV45 ) )
= $false )
| ( ( likes @ SV29 @ SV39 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(215,plain,
! [SV29: mu,SV39: mu,SV13: $i,SV45: $i] :
( ( ( a2 @ SV45 @ ( sK7_SY585 @ SV13 @ SV39 @ SV29 @ SV45 ) )
= $true )
| ( ( a1 @ SV45 @ ( sK5_SY584 @ SV13 @ SV39 @ SV29 @ SV45 ) )
= $true )
| ( ( likes @ SV29 @ SV39 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV39 @ SV45 )
= $true )
| ( ( a3 @ SV13 @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(216,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[79,215,214,213,211,197,196,192,191,190,189,174,166,163,162,143,142,141,140,125,122,121,120,117,116]) ).
thf(217,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT035^2 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.19 % Computer : n008.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 18:00:24 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.34
% 0.54/0.34 No.of.Axioms: 18
% 0.54/0.34
% 0.54/0.34 Length.of.Defs: 5324
% 0.54/0.34
% 0.54/0.34 Contains.Choice.Funs: false
% 0.54/0.34 ...........
% 0.54/0.34
% 0.54/0.34 ********************************
% 0.54/0.34 * All subproblems solved! *
% 0.54/0.34 ********************************
% 0.54/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:18,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:216,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.54/0.34
% 0.54/0.34 %**** Beginning of derivation protocol ****
% 0.54/0.34 % SZS output start CNFRefutation
% See solution above
% 0.54/0.34
% 0.54/0.34 %**** End of derivation protocol ****
% 0.54/0.34 %**** no. of clauses in derivation: 217 ****
% 0.54/0.34 %**** clause counter: 216 ****
% 0.54/0.34
% 0.54/0.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:18,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:216,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------