%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : AGT031^2 : 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 : n005.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 0.51s 0.29s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 50
% Syntax : Number of formulae : 252 ( 136 unt; 0 typ; 31 def)
% Number of atoms : 1655 ( 429 equ; 0 cnn)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 3048 ( 508 ~; 452 |; 8 &;2072 @)
% ( 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 : 783 ( 69 ^; 708 !; 6 ?; 783 :)
% 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_SY560,type,
sK2_SY560: $i > $i ).
thf(tp_sK3_SY561,type,
sK3_SY561: $i > $i ).
thf(tp_sK4_SY608,type,
sK4_SY608: mu > mu > $i > $i ).
thf(tp_sK5_SY613,type,
sK5_SY613: $i > mu > mu > $i > $i ).
thf(tp_sK6_SY614,type,
sK6_SY614: $i > mu > mu > $i > $i ).
thf(tp_sK7_SY614,type,
sK7_SY614: $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/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] : ( very_much_likes @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(20,negated_conjecture,
( ( mvalid
@ ( mexists_ind
@ ^ [X: mu] :
( mexists_ind
@ ^ [Y: mu] : ( very_much_likes @ X @ Y ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[19]) ).
thf(21,plain,
( ( ! [SY22: $i] :
~ ! [SY23: mu] :
~ ~ ! [SY24: mu] :
~ ( very_much_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,
( ( ! [SY63: $i,SY64: mu,SY65: mu] :
( ~ ~ ! [SY66: $i] :
( ~ ( a3 @ SY63 @ SY66 )
| ~ ( likes @ SY64 @ SY65 @ SY66 ) )
| ( possibly_likes @ SY64 @ SY65 @ SY63 ) ) )
= $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,
( ( ! [SY106: $i,SY107: mu,SY108: mu] :
( ~ ~ ! [SY109: $i] :
( ~ ( a2 @ SY106 @ SY109 )
| ~ ( likes @ SY107 @ SY108 @ SY109 ) )
| ( possibly_likes @ SY107 @ SY108 @ SY106 ) ) )
= $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,
( ( ! [SY149: $i,SY150: mu,SY151: mu] :
( ~ ~ ! [SY152: $i] :
( ~ ( a1 @ SY149 @ SY152 )
| ~ ( likes @ SY150 @ SY151 @ SY152 ) )
| ( possibly_likes @ SY150 @ SY151 @ SY149 ) ) )
= $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,
( ( ! [SY192: $i,SY193: mu,SY194: mu] :
( ~ ~ ! [SY195: $i] :
( ~ ( a3 @ SY192 @ SY195 )
| ~ ( very_much_likes @ SY193 @ SY194 @ SY195 ) )
| ( likes @ SY193 @ SY194 @ SY192 ) ) )
= $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,
( ( ! [SY229: $i,SY230: mu,SY231: mu] :
( ~ ! [SY232: $i] :
( ~ ( a3 @ SY229 @ SY232 )
| ( very_much_likes @ SY230 @ SY231 @ SY232 ) )
| ( very_much_likes @ SY230 @ SY231 @ SY229 ) ) )
= $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,
( ( ! [SY314: $i,SY315: mu,SY316: mu,SY317: $i] :
( ~ ( a3 @ SY314 @ SY317 )
| ~ ~ ( ~ ( likes @ SY315 @ SY316 @ SY317 )
| ~ ~ ( ~ ! [SY308: $i] :
( ~ ( a1 @ SY317 @ SY308 )
| ( likes @ SY315 @ SY316 @ SY308 ) )
| ~ ! [SY309: $i] :
( ~ ( a2 @ SY317 @ SY309 )
| ( likes @ SY315 @ SY316 @ SY309 ) ) ) )
| ( very_much_likes @ SY315 @ SY316 @ SY317 ) ) )
= $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,
( ( ! [SY337: $i] :
~ ! [SY338: $i] :
( ~ ( a1 @ SY337 @ SY338 )
| ~ ( likes @ piotr @ beer @ SY338 ) ) )
= $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,
( ( ! [SY352: $i] :
~ ! [SY353: $i] :
( ~ ( a3 @ SY352 @ SY353 )
| ~ ( likes @ piotr @ pepsi @ SY353 ) ) )
= $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,
( ( ! [SY361: $i,SY362: $i] :
( ~ ( a3 @ SY361 @ SY362 )
| ( likes @ jan @ cola @ SY362 ) ) )
= $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,
( ( ! [SY382: $i,SY383: mu,SY384: $i] :
( ~ ( a2 @ SY382 @ SY384 )
| ~ ( likes @ SY383 @ cola @ SY384 )
| ( likes @ SY383 @ pepsi @ SY384 ) ) )
= $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,
( ( ! [SY405: $i,SY406: mu,SY407: $i] :
( ~ ( a2 @ SY405 @ SY407 )
| ~ ( likes @ SY406 @ pepsi @ SY407 )
| ( likes @ SY406 @ cola @ SY407 ) ) )
= $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,
( ( ! [SY416: $i,SY417: $i] :
( ~ ( a1 @ SY416 @ SY417 )
| ( likes @ piotr @ beer @ SY417 ) ) )
= $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,
( ( ! [SY425: $i,SY426: $i] :
( ~ ( a1 @ SY425 @ SY426 )
| ( likes @ piotr @ cola @ SY426 ) ) )
= $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,
( ( ! [SY434: $i,SY435: $i] :
( ~ ( a2 @ SY434 @ SY435 )
| ( likes @ jan @ pepsi @ SY435 ) ) )
= $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,
( ( ! [SY473: $i,SY474: mu,SY475: $i] :
( ~ ( a1 @ SY473 @ SY475 )
| ~ ~ ! [SY470: $i] :
( ~ ( a1 @ SY475 @ SY470 )
| ~ ( likes @ SY474 @ cola @ SY470 ) )
| ( likes @ SY474 @ pepsi @ SY475 ) ) )
= $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,
( ( ! [SY516: $i,SY517: mu,SY518: $i] :
( ~ ( a1 @ SY516 @ SY518 )
| ~ ~ ! [SY513: $i] :
( ~ ( a1 @ SY518 @ SY513 )
| ~ ( likes @ SY517 @ pepsi @ SY513 ) )
| ( likes @ SY517 @ cola @ SY518 ) ) )
= $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,
( ( ! [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] :
~ ( very_much_likes @ SY542 @ SY543 @ sK1_SY22 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[21]) ).
thf(41,plain,
( ( ! [SY542: mu] :
~ ~ ! [SY543: mu] :
~ ( very_much_likes @ SY542 @ SY543 @ sK1_SY22 ) )
= $true ),
inference(polarity_switch,[status(thm)],[40]) ).
thf(42,plain,
( ( ! [SY538: $i,SY539: $i] :
( ~ ( a1 @ SY538 @ SY539 )
| ( likes @ jan @ cola @ SY539 ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(43,plain,
( ( ! [SY529: $i,SY530: $i] :
( ~ ( a1 @ SY529 @ SY530 )
| ( likes @ piotr @ pepsi @ SY530 ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(44,plain,
( ( ! [SY516: $i,SY517: mu,SY518: $i] :
( ~ ( a1 @ SY516 @ SY518 )
| ~ ~ ! [SY513: $i] :
( ~ ( a1 @ SY518 @ SY513 )
| ~ ( likes @ SY517 @ pepsi @ SY513 ) )
| ( likes @ SY517 @ cola @ SY518 ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(45,plain,
( ( ! [SY473: $i,SY474: mu,SY475: $i] :
( ~ ( a1 @ SY473 @ SY475 )
| ~ ~ ! [SY470: $i] :
( ~ ( a1 @ SY475 @ SY470 )
| ~ ( likes @ SY474 @ cola @ SY470 ) )
| ( likes @ SY474 @ pepsi @ SY475 ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(46,plain,
( ( ! [SY434: $i,SY435: $i] :
( ~ ( a2 @ SY434 @ SY435 )
| ( likes @ jan @ pepsi @ SY435 ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(47,plain,
( ( ! [SY425: $i,SY426: $i] :
( ~ ( a1 @ SY425 @ SY426 )
| ( likes @ piotr @ cola @ SY426 ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(48,plain,
( ( ! [SY416: $i,SY417: $i] :
( ~ ( a1 @ SY416 @ SY417 )
| ( likes @ piotr @ beer @ SY417 ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(49,plain,
( ( ! [SY405: $i,SY406: mu,SY407: $i] :
( ~ ( a2 @ SY405 @ SY407 )
| ~ ( likes @ SY406 @ pepsi @ SY407 )
| ( likes @ SY406 @ cola @ SY407 ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(50,plain,
( ( ! [SY382: $i,SY383: mu,SY384: $i] :
( ~ ( a2 @ SY382 @ SY384 )
| ~ ( likes @ SY383 @ cola @ SY384 )
| ( likes @ SY383 @ pepsi @ SY384 ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(51,plain,
( ( ! [SY361: $i,SY362: $i] :
( ~ ( a3 @ SY361 @ SY362 )
| ( likes @ jan @ cola @ SY362 ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(52,plain,
( ( ! [SY352: $i] :
~ ! [SY353: $i] :
( ~ ( a3 @ SY352 @ SY353 )
| ~ ( likes @ piotr @ pepsi @ SY353 ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(53,plain,
( ( ! [SY337: $i] :
~ ! [SY338: $i] :
( ~ ( a1 @ SY337 @ SY338 )
| ~ ( likes @ piotr @ beer @ SY338 ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(54,plain,
( ( ! [SY314: $i,SY315: mu,SY316: mu,SY317: $i] :
( ~ ( a3 @ SY314 @ SY317 )
| ~ ~ ( ~ ( likes @ SY315 @ SY316 @ SY317 )
| ~ ~ ( ~ ! [SY308: $i] :
( ~ ( a1 @ SY317 @ SY308 )
| ( likes @ SY315 @ SY316 @ SY308 ) )
| ~ ! [SY309: $i] :
( ~ ( a2 @ SY317 @ SY309 )
| ( likes @ SY315 @ SY316 @ SY309 ) ) ) )
| ( very_much_likes @ SY315 @ SY316 @ SY317 ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(55,plain,
( ( ! [SY229: $i,SY230: mu,SY231: mu] :
( ~ ! [SY232: $i] :
( ~ ( a3 @ SY229 @ SY232 )
| ( very_much_likes @ SY230 @ SY231 @ SY232 ) )
| ( very_much_likes @ SY230 @ SY231 @ SY229 ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(56,plain,
( ( ! [SY192: $i,SY193: mu,SY194: mu] :
( ~ ~ ! [SY195: $i] :
( ~ ( a3 @ SY192 @ SY195 )
| ~ ( very_much_likes @ SY193 @ SY194 @ SY195 ) )
| ( likes @ SY193 @ SY194 @ SY192 ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(57,plain,
( ( ! [SY149: $i,SY150: mu,SY151: mu] :
( ~ ~ ! [SY152: $i] :
( ~ ( a1 @ SY149 @ SY152 )
| ~ ( likes @ SY150 @ SY151 @ SY152 ) )
| ( possibly_likes @ SY150 @ SY151 @ SY149 ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(58,plain,
( ( ! [SY106: $i,SY107: mu,SY108: mu] :
( ~ ~ ! [SY109: $i] :
( ~ ( a2 @ SY106 @ SY109 )
| ~ ( likes @ SY107 @ SY108 @ SY109 ) )
| ( possibly_likes @ SY107 @ SY108 @ SY106 ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(59,plain,
( ( ! [SY63: $i,SY64: mu,SY65: mu] :
( ~ ~ ! [SY66: $i] :
( ~ ( a3 @ SY63 @ SY66 )
| ~ ( likes @ SY64 @ SY65 @ SY66 ) )
| ( possibly_likes @ SY64 @ SY65 @ SY63 ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(60,plain,
( ( ! [SY542: mu] :
~ ~ ! [SY543: mu] :
~ ( very_much_likes @ SY542 @ SY543 @ sK1_SY22 ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(61,plain,
! [SV1: $i] :
( ( ! [SY544: $i] :
( ~ ( a1 @ SV1 @ SY544 )
| ( likes @ jan @ cola @ SY544 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(62,plain,
! [SV2: $i] :
( ( ! [SY545: $i] :
( ~ ( a1 @ SV2 @ SY545 )
| ( likes @ piotr @ pepsi @ SY545 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(63,plain,
! [SV3: $i] :
( ( ! [SY546: mu,SY547: $i] :
( ~ ( a1 @ SV3 @ SY547 )
| ~ ~ ! [SY513: $i] :
( ~ ( a1 @ SY547 @ SY513 )
| ~ ( likes @ SY546 @ pepsi @ SY513 ) )
| ( likes @ SY546 @ cola @ SY547 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(64,plain,
! [SV4: $i] :
( ( ! [SY549: mu,SY550: $i] :
( ~ ( a1 @ SV4 @ SY550 )
| ~ ~ ! [SY470: $i] :
( ~ ( a1 @ SY550 @ SY470 )
| ~ ( likes @ SY549 @ cola @ SY470 ) )
| ( likes @ SY549 @ pepsi @ SY550 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(65,plain,
! [SV5: $i] :
( ( ! [SY552: $i] :
( ~ ( a2 @ SV5 @ SY552 )
| ( likes @ jan @ pepsi @ SY552 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(66,plain,
! [SV6: $i] :
( ( ! [SY553: $i] :
( ~ ( a1 @ SV6 @ SY553 )
| ( likes @ piotr @ cola @ SY553 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(67,plain,
! [SV7: $i] :
( ( ! [SY554: $i] :
( ~ ( a1 @ SV7 @ SY554 )
| ( likes @ piotr @ beer @ SY554 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(68,plain,
! [SV8: $i] :
( ( ! [SY555: mu,SY556: $i] :
( ~ ( a2 @ SV8 @ SY556 )
| ~ ( likes @ SY555 @ pepsi @ SY556 )
| ( likes @ SY555 @ cola @ SY556 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(69,plain,
! [SV9: $i] :
( ( ! [SY557: mu,SY558: $i] :
( ~ ( a2 @ SV9 @ SY558 )
| ~ ( likes @ SY557 @ cola @ SY558 )
| ( likes @ SY557 @ pepsi @ SY558 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(70,plain,
! [SV10: $i] :
( ( ! [SY559: $i] :
( ~ ( a3 @ SV10 @ SY559 )
| ( likes @ jan @ cola @ SY559 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(71,plain,
! [SV11: $i] :
( ( ~ ! [SY560: $i] :
( ~ ( a3 @ SV11 @ SY560 )
| ~ ( likes @ piotr @ pepsi @ SY560 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(72,plain,
! [SV12: $i] :
( ( ~ ! [SY561: $i] :
( ~ ( a1 @ SV12 @ SY561 )
| ~ ( likes @ piotr @ beer @ SY561 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(73,plain,
! [SV13: $i] :
( ( ! [SY562: mu,SY563: mu,SY564: $i] :
( ~ ( a3 @ SV13 @ SY564 )
| ~ ~ ( ~ ( likes @ SY562 @ SY563 @ SY564 )
| ~ ~ ( ~ ! [SY308: $i] :
( ~ ( a1 @ SY564 @ SY308 )
| ( likes @ SY562 @ SY563 @ SY308 ) )
| ~ ! [SY309: $i] :
( ~ ( a2 @ SY564 @ SY309 )
| ( likes @ SY562 @ SY563 @ SY309 ) ) ) )
| ( very_much_likes @ SY562 @ SY563 @ SY564 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(74,plain,
! [SV14: $i] :
( ( ! [SY567: mu,SY568: mu] :
( ~ ! [SY569: $i] :
( ~ ( a3 @ SV14 @ SY569 )
| ( very_much_likes @ SY567 @ SY568 @ SY569 ) )
| ( very_much_likes @ SY567 @ SY568 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(75,plain,
! [SV15: $i] :
( ( ! [SY570: mu,SY571: mu] :
( ~ ~ ! [SY572: $i] :
( ~ ( a3 @ SV15 @ SY572 )
| ~ ( very_much_likes @ SY570 @ SY571 @ SY572 ) )
| ( likes @ SY570 @ SY571 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(76,plain,
! [SV16: $i] :
( ( ! [SY573: mu,SY574: mu] :
( ~ ~ ! [SY575: $i] :
( ~ ( a1 @ SV16 @ SY575 )
| ~ ( likes @ SY573 @ SY574 @ SY575 ) )
| ( possibly_likes @ SY573 @ SY574 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(77,plain,
! [SV17: $i] :
( ( ! [SY576: mu,SY577: mu] :
( ~ ~ ! [SY578: $i] :
( ~ ( a2 @ SV17 @ SY578 )
| ~ ( likes @ SY576 @ SY577 @ SY578 ) )
| ( possibly_likes @ SY576 @ SY577 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(78,plain,
! [SV18: $i] :
( ( ! [SY579: mu,SY580: mu] :
( ~ ~ ! [SY581: $i] :
( ~ ( a3 @ SV18 @ SY581 )
| ~ ( likes @ SY579 @ SY580 @ SY581 ) )
| ( possibly_likes @ SY579 @ SY580 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(79,plain,
! [SV19: mu] :
( ( ~ ~ ! [SY582: mu] :
~ ( very_much_likes @ SV19 @ SY582 @ sK1_SY22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(80,plain,
! [SV20: $i,SV1: $i] :
( ( ~ ( a1 @ SV1 @ SV20 )
| ( likes @ jan @ cola @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(81,plain,
! [SV21: $i,SV2: $i] :
( ( ~ ( a1 @ SV2 @ SV21 )
| ( likes @ piotr @ pepsi @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(82,plain,
! [SV22: mu,SV3: $i] :
( ( ! [SY583: $i] :
( ~ ( a1 @ SV3 @ SY583 )
| ~ ~ ! [SY584: $i] :
( ~ ( a1 @ SY583 @ SY584 )
| ~ ( likes @ SV22 @ pepsi @ SY584 ) )
| ( likes @ SV22 @ cola @ SY583 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(83,plain,
! [SV23: mu,SV4: $i] :
( ( ! [SY585: $i] :
( ~ ( a1 @ SV4 @ SY585 )
| ~ ~ ! [SY586: $i] :
( ~ ( a1 @ SY585 @ SY586 )
| ~ ( likes @ SV23 @ cola @ SY586 ) )
| ( likes @ SV23 @ pepsi @ SY585 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(84,plain,
! [SV24: $i,SV5: $i] :
( ( ~ ( a2 @ SV5 @ SV24 )
| ( likes @ jan @ pepsi @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(85,plain,
! [SV25: $i,SV6: $i] :
( ( ~ ( a1 @ SV6 @ SV25 )
| ( likes @ piotr @ cola @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(86,plain,
! [SV26: $i,SV7: $i] :
( ( ~ ( a1 @ SV7 @ SV26 )
| ( likes @ piotr @ beer @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(87,plain,
! [SV27: mu,SV8: $i] :
( ( ! [SY587: $i] :
( ~ ( a2 @ SV8 @ SY587 )
| ~ ( likes @ SV27 @ pepsi @ SY587 )
| ( likes @ SV27 @ cola @ SY587 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(88,plain,
! [SV28: mu,SV9: $i] :
( ( ! [SY588: $i] :
( ~ ( a2 @ SV9 @ SY588 )
| ~ ( likes @ SV28 @ cola @ SY588 )
| ( likes @ SV28 @ pepsi @ SY588 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(89,plain,
! [SV29: $i,SV10: $i] :
( ( ~ ( a3 @ SV10 @ SV29 )
| ( likes @ jan @ cola @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(90,plain,
! [SV11: $i] :
( ( ! [SY560: $i] :
( ~ ( a3 @ SV11 @ SY560 )
| ~ ( likes @ piotr @ pepsi @ SY560 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(91,plain,
! [SV12: $i] :
( ( ! [SY561: $i] :
( ~ ( a1 @ SV12 @ SY561 )
| ~ ( likes @ piotr @ beer @ SY561 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(92,plain,
! [SV30: mu,SV13: $i] :
( ( ! [SY589: mu,SY590: $i] :
( ~ ( a3 @ SV13 @ SY590 )
| ~ ~ ( ~ ( likes @ SV30 @ SY589 @ SY590 )
| ~ ~ ( ~ ! [SY591: $i] :
( ~ ( a1 @ SY590 @ SY591 )
| ( likes @ SV30 @ SY589 @ SY591 ) )
| ~ ! [SY592: $i] :
( ~ ( a2 @ SY590 @ SY592 )
| ( likes @ SV30 @ SY589 @ SY592 ) ) ) )
| ( very_much_likes @ SV30 @ SY589 @ SY590 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(93,plain,
! [SV31: mu,SV14: $i] :
( ( ! [SY593: mu] :
( ~ ! [SY594: $i] :
( ~ ( a3 @ SV14 @ SY594 )
| ( very_much_likes @ SV31 @ SY593 @ SY594 ) )
| ( very_much_likes @ SV31 @ SY593 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(94,plain,
! [SV32: mu,SV15: $i] :
( ( ! [SY595: mu] :
( ~ ~ ! [SY596: $i] :
( ~ ( a3 @ SV15 @ SY596 )
| ~ ( very_much_likes @ SV32 @ SY595 @ SY596 ) )
| ( likes @ SV32 @ SY595 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(95,plain,
! [SV33: mu,SV16: $i] :
( ( ! [SY597: mu] :
( ~ ~ ! [SY598: $i] :
( ~ ( a1 @ SV16 @ SY598 )
| ~ ( likes @ SV33 @ SY597 @ SY598 ) )
| ( possibly_likes @ SV33 @ SY597 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(96,plain,
! [SV34: mu,SV17: $i] :
( ( ! [SY599: mu] :
( ~ ~ ! [SY600: $i] :
( ~ ( a2 @ SV17 @ SY600 )
| ~ ( likes @ SV34 @ SY599 @ SY600 ) )
| ( possibly_likes @ SV34 @ SY599 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(97,plain,
! [SV35: mu,SV18: $i] :
( ( ! [SY601: mu] :
( ~ ~ ! [SY602: $i] :
( ~ ( a3 @ SV18 @ SY602 )
| ~ ( likes @ SV35 @ SY601 @ SY602 ) )
| ( possibly_likes @ SV35 @ SY601 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(98,plain,
! [SV19: mu] :
( ( ~ ! [SY582: mu] :
~ ( very_much_likes @ SV19 @ SY582 @ sK1_SY22 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(99,plain,
! [SV20: $i,SV1: $i] :
( ( ( ~ ( a1 @ SV1 @ SV20 ) )
= $true )
| ( ( likes @ jan @ cola @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(100,plain,
! [SV21: $i,SV2: $i] :
( ( ( ~ ( a1 @ SV2 @ SV21 ) )
= $true )
| ( ( likes @ piotr @ pepsi @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(101,plain,
! [SV22: mu,SV36: $i,SV3: $i] :
( ( ~ ( a1 @ SV3 @ SV36 )
| ~ ~ ! [SY603: $i] :
( ~ ( a1 @ SV36 @ SY603 )
| ~ ( likes @ SV22 @ pepsi @ SY603 ) )
| ( likes @ SV22 @ cola @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(102,plain,
! [SV23: mu,SV37: $i,SV4: $i] :
( ( ~ ( a1 @ SV4 @ SV37 )
| ~ ~ ! [SY604: $i] :
( ~ ( a1 @ SV37 @ SY604 )
| ~ ( likes @ SV23 @ cola @ SY604 ) )
| ( likes @ SV23 @ pepsi @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(103,plain,
! [SV24: $i,SV5: $i] :
( ( ( ~ ( a2 @ SV5 @ SV24 ) )
= $true )
| ( ( likes @ jan @ pepsi @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(104,plain,
! [SV25: $i,SV6: $i] :
( ( ( ~ ( a1 @ SV6 @ SV25 ) )
= $true )
| ( ( likes @ piotr @ cola @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(105,plain,
! [SV26: $i,SV7: $i] :
( ( ( ~ ( a1 @ SV7 @ SV26 ) )
= $true )
| ( ( likes @ piotr @ beer @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(106,plain,
! [SV27: mu,SV38: $i,SV8: $i] :
( ( ~ ( a2 @ SV8 @ SV38 )
| ~ ( likes @ SV27 @ pepsi @ SV38 )
| ( likes @ SV27 @ cola @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(107,plain,
! [SV28: mu,SV39: $i,SV9: $i] :
( ( ~ ( a2 @ SV9 @ SV39 )
| ~ ( likes @ SV28 @ cola @ SV39 )
| ( likes @ SV28 @ pepsi @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(108,plain,
! [SV29: $i,SV10: $i] :
( ( ( ~ ( a3 @ SV10 @ SV29 ) )
= $true )
| ( ( likes @ jan @ cola @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(109,plain,
! [SV11: $i] :
( ( ~ ( a3 @ SV11 @ ( sK2_SY560 @ SV11 ) )
| ~ ( likes @ piotr @ pepsi @ ( sK2_SY560 @ SV11 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[90]) ).
thf(110,plain,
! [SV12: $i] :
( ( ~ ( a1 @ SV12 @ ( sK3_SY561 @ SV12 ) )
| ~ ( likes @ piotr @ beer @ ( sK3_SY561 @ SV12 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[91]) ).
thf(111,plain,
! [SV40: mu,SV30: mu,SV13: $i] :
( ( ! [SY605: $i] :
( ~ ( a3 @ SV13 @ SY605 )
| ~ ~ ( ~ ( likes @ SV30 @ SV40 @ SY605 )
| ~ ~ ( ~ ! [SY606: $i] :
( ~ ( a1 @ SY605 @ SY606 )
| ( likes @ SV30 @ SV40 @ SY606 ) )
| ~ ! [SY607: $i] :
( ~ ( a2 @ SY605 @ SY607 )
| ( likes @ SV30 @ SV40 @ SY607 ) ) ) )
| ( very_much_likes @ SV30 @ SV40 @ SY605 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(112,plain,
! [SV41: mu,SV31: mu,SV14: $i] :
( ( ~ ! [SY608: $i] :
( ~ ( a3 @ SV14 @ SY608 )
| ( very_much_likes @ SV31 @ SV41 @ SY608 ) )
| ( very_much_likes @ SV31 @ SV41 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(113,plain,
! [SV42: mu,SV32: mu,SV15: $i] :
( ( ~ ~ ! [SY609: $i] :
( ~ ( a3 @ SV15 @ SY609 )
| ~ ( very_much_likes @ SV32 @ SV42 @ SY609 ) )
| ( likes @ SV32 @ SV42 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(114,plain,
! [SV43: mu,SV33: mu,SV16: $i] :
( ( ~ ~ ! [SY610: $i] :
( ~ ( a1 @ SV16 @ SY610 )
| ~ ( likes @ SV33 @ SV43 @ SY610 ) )
| ( possibly_likes @ SV33 @ SV43 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(115,plain,
! [SV44: mu,SV34: mu,SV17: $i] :
( ( ~ ~ ! [SY611: $i] :
( ~ ( a2 @ SV17 @ SY611 )
| ~ ( likes @ SV34 @ SV44 @ SY611 ) )
| ( possibly_likes @ SV34 @ SV44 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(116,plain,
! [SV45: mu,SV35: mu,SV18: $i] :
( ( ~ ~ ! [SY612: $i] :
( ~ ( a3 @ SV18 @ SY612 )
| ~ ( likes @ SV35 @ SV45 @ SY612 ) )
| ( possibly_likes @ SV35 @ SV45 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(117,plain,
! [SV19: mu] :
( ( ! [SY582: mu] :
~ ( very_much_likes @ SV19 @ SY582 @ sK1_SY22 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(118,plain,
! [SV20: $i,SV1: $i] :
( ( ( a1 @ SV1 @ SV20 )
= $false )
| ( ( likes @ jan @ cola @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(119,plain,
! [SV21: $i,SV2: $i] :
( ( ( a1 @ SV2 @ SV21 )
= $false )
| ( ( likes @ piotr @ pepsi @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(120,plain,
! [SV22: mu,SV36: $i,SV3: $i] :
( ( ( ~ ( a1 @ SV3 @ SV36 ) )
= $true )
| ( ( ~ ~ ! [SY603: $i] :
( ~ ( a1 @ SV36 @ SY603 )
| ~ ( likes @ SV22 @ pepsi @ SY603 ) )
| ( likes @ SV22 @ cola @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(121,plain,
! [SV23: mu,SV37: $i,SV4: $i] :
( ( ( ~ ( a1 @ SV4 @ SV37 ) )
= $true )
| ( ( ~ ~ ! [SY604: $i] :
( ~ ( a1 @ SV37 @ SY604 )
| ~ ( likes @ SV23 @ cola @ SY604 ) )
| ( likes @ SV23 @ pepsi @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(122,plain,
! [SV24: $i,SV5: $i] :
( ( ( a2 @ SV5 @ SV24 )
= $false )
| ( ( likes @ jan @ pepsi @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(123,plain,
! [SV25: $i,SV6: $i] :
( ( ( a1 @ SV6 @ SV25 )
= $false )
| ( ( likes @ piotr @ cola @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(124,plain,
! [SV26: $i,SV7: $i] :
( ( ( a1 @ SV7 @ SV26 )
= $false )
| ( ( likes @ piotr @ beer @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(125,plain,
! [SV27: mu,SV38: $i,SV8: $i] :
( ( ( ~ ( a2 @ SV8 @ SV38 ) )
= $true )
| ( ( ~ ( likes @ SV27 @ pepsi @ SV38 )
| ( likes @ SV27 @ cola @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(126,plain,
! [SV28: mu,SV39: $i,SV9: $i] :
( ( ( ~ ( a2 @ SV9 @ SV39 ) )
= $true )
| ( ( ~ ( likes @ SV28 @ cola @ SV39 )
| ( likes @ SV28 @ pepsi @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(127,plain,
! [SV29: $i,SV10: $i] :
( ( ( a3 @ SV10 @ SV29 )
= $false )
| ( ( likes @ jan @ cola @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(128,plain,
! [SV11: $i] :
( ( ~ ( a3 @ SV11 @ ( sK2_SY560 @ SV11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(129,plain,
! [SV11: $i] :
( ( ~ ( likes @ piotr @ pepsi @ ( sK2_SY560 @ SV11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(130,plain,
! [SV12: $i] :
( ( ~ ( a1 @ SV12 @ ( sK3_SY561 @ SV12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[110]) ).
thf(131,plain,
! [SV12: $i] :
( ( ~ ( likes @ piotr @ beer @ ( sK3_SY561 @ SV12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[110]) ).
thf(132,plain,
! [SV40: mu,SV30: mu,SV46: $i,SV13: $i] :
( ( ~ ( a3 @ SV13 @ SV46 )
| ~ ~ ( ~ ( likes @ SV30 @ SV40 @ SV46 )
| ~ ~ ( ~ ! [SY613: $i] :
( ~ ( a1 @ SV46 @ SY613 )
| ( likes @ SV30 @ SV40 @ SY613 ) )
| ~ ! [SY614: $i] :
( ~ ( a2 @ SV46 @ SY614 )
| ( likes @ SV30 @ SV40 @ SY614 ) ) ) )
| ( very_much_likes @ SV30 @ SV40 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(133,plain,
! [SV41: mu,SV31: mu,SV14: $i] :
( ( ( ~ ! [SY608: $i] :
( ~ ( a3 @ SV14 @ SY608 )
| ( very_much_likes @ SV31 @ SV41 @ SY608 ) ) )
= $true )
| ( ( very_much_likes @ SV31 @ SV41 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(134,plain,
! [SV42: mu,SV32: mu,SV15: $i] :
( ( ( ~ ~ ! [SY609: $i] :
( ~ ( a3 @ SV15 @ SY609 )
| ~ ( very_much_likes @ SV32 @ SV42 @ SY609 ) ) )
= $true )
| ( ( likes @ SV32 @ SV42 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(135,plain,
! [SV43: mu,SV33: mu,SV16: $i] :
( ( ( ~ ~ ! [SY610: $i] :
( ~ ( a1 @ SV16 @ SY610 )
| ~ ( likes @ SV33 @ SV43 @ SY610 ) ) )
= $true )
| ( ( possibly_likes @ SV33 @ SV43 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(136,plain,
! [SV44: mu,SV34: mu,SV17: $i] :
( ( ( ~ ~ ! [SY611: $i] :
( ~ ( a2 @ SV17 @ SY611 )
| ~ ( likes @ SV34 @ SV44 @ SY611 ) ) )
= $true )
| ( ( possibly_likes @ SV34 @ SV44 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(137,plain,
! [SV45: mu,SV35: mu,SV18: $i] :
( ( ( ~ ~ ! [SY612: $i] :
( ~ ( a3 @ SV18 @ SY612 )
| ~ ( likes @ SV35 @ SV45 @ SY612 ) ) )
= $true )
| ( ( possibly_likes @ SV35 @ SV45 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(138,plain,
! [SV47: mu,SV19: mu] :
( ( ~ ( very_much_likes @ SV19 @ SV47 @ sK1_SY22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(139,plain,
! [SV22: mu,SV36: $i,SV3: $i] :
( ( ( a1 @ SV3 @ SV36 )
= $false )
| ( ( ~ ~ ! [SY603: $i] :
( ~ ( a1 @ SV36 @ SY603 )
| ~ ( likes @ SV22 @ pepsi @ SY603 ) )
| ( likes @ SV22 @ cola @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(140,plain,
! [SV23: mu,SV37: $i,SV4: $i] :
( ( ( a1 @ SV4 @ SV37 )
= $false )
| ( ( ~ ~ ! [SY604: $i] :
( ~ ( a1 @ SV37 @ SY604 )
| ~ ( likes @ SV23 @ cola @ SY604 ) )
| ( likes @ SV23 @ pepsi @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(141,plain,
! [SV27: mu,SV38: $i,SV8: $i] :
( ( ( a2 @ SV8 @ SV38 )
= $false )
| ( ( ~ ( likes @ SV27 @ pepsi @ SV38 )
| ( likes @ SV27 @ cola @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(142,plain,
! [SV28: mu,SV39: $i,SV9: $i] :
( ( ( a2 @ SV9 @ SV39 )
= $false )
| ( ( ~ ( likes @ SV28 @ cola @ SV39 )
| ( likes @ SV28 @ pepsi @ SV39 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(143,plain,
! [SV11: $i] :
( ( a3 @ SV11 @ ( sK2_SY560 @ SV11 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(144,plain,
! [SV11: $i] :
( ( likes @ piotr @ pepsi @ ( sK2_SY560 @ SV11 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(145,plain,
! [SV12: $i] :
( ( a1 @ SV12 @ ( sK3_SY561 @ SV12 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(146,plain,
! [SV12: $i] :
( ( likes @ piotr @ beer @ ( sK3_SY561 @ SV12 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(147,plain,
! [SV40: mu,SV30: mu,SV46: $i,SV13: $i] :
( ( ( ~ ( a3 @ SV13 @ SV46 ) )
= $true )
| ( ( ~ ~ ( ~ ( likes @ SV30 @ SV40 @ SV46 )
| ~ ~ ( ~ ! [SY613: $i] :
( ~ ( a1 @ SV46 @ SY613 )
| ( likes @ SV30 @ SV40 @ SY613 ) )
| ~ ! [SY614: $i] :
( ~ ( a2 @ SV46 @ SY614 )
| ( likes @ SV30 @ SV40 @ SY614 ) ) ) )
| ( very_much_likes @ SV30 @ SV40 @ SV46 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(148,plain,
! [SV41: mu,SV31: mu,SV14: $i] :
( ( ( ! [SY608: $i] :
( ~ ( a3 @ SV14 @ SY608 )
| ( very_much_likes @ SV31 @ SV41 @ SY608 ) ) )
= $false )
| ( ( very_much_likes @ SV31 @ SV41 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(149,plain,
! [SV42: mu,SV32: mu,SV15: $i] :
( ( ( ~ ! [SY609: $i] :
( ~ ( a3 @ SV15 @ SY609 )
| ~ ( very_much_likes @ SV32 @ SV42 @ SY609 ) ) )
= $false )
| ( ( likes @ SV32 @ SV42 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(150,plain,
! [SV43: mu,SV33: mu,SV16: $i] :
( ( ( ~ ! [SY610: $i] :
( ~ ( a1 @ SV16 @ SY610 )
| ~ ( likes @ SV33 @ SV43 @ SY610 ) ) )
= $false )
| ( ( possibly_likes @ SV33 @ SV43 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(151,plain,
! [SV44: mu,SV34: mu,SV17: $i] :
( ( ( ~ ! [SY611: $i] :
( ~ ( a2 @ SV17 @ SY611 )
| ~ ( likes @ SV34 @ SV44 @ SY611 ) ) )
= $false )
| ( ( possibly_likes @ SV34 @ SV44 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(152,plain,
! [SV45: mu,SV35: mu,SV18: $i] :
( ( ( ~ ! [SY612: $i] :
( ~ ( a3 @ SV18 @ SY612 )
| ~ ( likes @ SV35 @ SV45 @ SY612 ) ) )
= $false )
| ( ( possibly_likes @ SV35 @ SV45 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(153,plain,
! [SV47: mu,SV19: mu] :
( ( very_much_likes @ SV19 @ SV47 @ sK1_SY22 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(154,plain,
! [SV3: $i,SV22: mu,SV36: $i] :
( ( ( ~ ~ ! [SY603: $i] :
( ~ ( a1 @ SV36 @ SY603 )
| ~ ( likes @ SV22 @ pepsi @ SY603 ) ) )
= $true )
| ( ( likes @ SV22 @ cola @ SV36 )
= $true )
| ( ( a1 @ SV3 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(155,plain,
! [SV4: $i,SV23: mu,SV37: $i] :
( ( ( ~ ~ ! [SY604: $i] :
( ~ ( a1 @ SV37 @ SY604 )
| ~ ( likes @ SV23 @ cola @ SY604 ) ) )
= $true )
| ( ( likes @ SV23 @ pepsi @ SV37 )
= $true )
| ( ( a1 @ SV4 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(156,plain,
! [SV8: $i,SV38: $i,SV27: mu] :
( ( ( ~ ( likes @ SV27 @ pepsi @ SV38 ) )
= $true )
| ( ( likes @ SV27 @ cola @ SV38 )
= $true )
| ( ( a2 @ SV8 @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(157,plain,
! [SV9: $i,SV39: $i,SV28: mu] :
( ( ( ~ ( likes @ SV28 @ cola @ SV39 ) )
= $true )
| ( ( likes @ SV28 @ pepsi @ SV39 )
= $true )
| ( ( a2 @ SV9 @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(158,plain,
! [SV40: mu,SV30: mu,SV46: $i,SV13: $i] :
( ( ( a3 @ SV13 @ SV46 )
= $false )
| ( ( ~ ~ ( ~ ( likes @ SV30 @ SV40 @ SV46 )
| ~ ~ ( ~ ! [SY613: $i] :
( ~ ( a1 @ SV46 @ SY613 )
| ( likes @ SV30 @ SV40 @ SY613 ) )
| ~ ! [SY614: $i] :
( ~ ( a2 @ SV46 @ SY614 )
| ( likes @ SV30 @ SV40 @ SY614 ) ) ) )
| ( very_much_likes @ SV30 @ SV40 @ SV46 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(159,plain,
! [SV31: mu,SV41: mu,SV14: $i] :
( ( ( ~ ( a3 @ SV14 @ ( sK4_SY608 @ SV41 @ SV31 @ SV14 ) )
| ( very_much_likes @ SV31 @ SV41 @ ( sK4_SY608 @ SV41 @ SV31 @ SV14 ) ) )
= $false )
| ( ( very_much_likes @ SV31 @ SV41 @ SV14 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[148]) ).
thf(160,plain,
! [SV42: mu,SV32: mu,SV15: $i] :
( ( ( ! [SY609: $i] :
( ~ ( a3 @ SV15 @ SY609 )
| ~ ( very_much_likes @ SV32 @ SV42 @ SY609 ) ) )
= $true )
| ( ( likes @ SV32 @ SV42 @ SV15 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(161,plain,
! [SV43: mu,SV33: mu,SV16: $i] :
( ( ( ! [SY610: $i] :
( ~ ( a1 @ SV16 @ SY610 )
| ~ ( likes @ SV33 @ SV43 @ SY610 ) ) )
= $true )
| ( ( possibly_likes @ SV33 @ SV43 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(162,plain,
! [SV44: mu,SV34: mu,SV17: $i] :
( ( ( ! [SY611: $i] :
( ~ ( a2 @ SV17 @ SY611 )
| ~ ( likes @ SV34 @ SV44 @ SY611 ) ) )
= $true )
| ( ( possibly_likes @ SV34 @ SV44 @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(163,plain,
! [SV45: mu,SV35: mu,SV18: $i] :
( ( ( ! [SY612: $i] :
( ~ ( a3 @ SV18 @ SY612 )
| ~ ( likes @ SV35 @ SV45 @ SY612 ) ) )
= $true )
| ( ( possibly_likes @ SV35 @ SV45 @ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(164,plain,
! [SV3: $i,SV22: mu,SV36: $i] :
( ( ( ~ ! [SY603: $i] :
( ~ ( a1 @ SV36 @ SY603 )
| ~ ( likes @ SV22 @ pepsi @ SY603 ) ) )
= $false )
| ( ( likes @ SV22 @ cola @ SV36 )
= $true )
| ( ( a1 @ SV3 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(165,plain,
! [SV4: $i,SV23: mu,SV37: $i] :
( ( ( ~ ! [SY604: $i] :
( ~ ( a1 @ SV37 @ SY604 )
| ~ ( likes @ SV23 @ cola @ SY604 ) ) )
= $false )
| ( ( likes @ SV23 @ pepsi @ SV37 )
= $true )
| ( ( a1 @ SV4 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(166,plain,
! [SV8: $i,SV38: $i,SV27: mu] :
( ( ( likes @ SV27 @ pepsi @ SV38 )
= $false )
| ( ( likes @ SV27 @ cola @ SV38 )
= $true )
| ( ( a2 @ SV8 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(167,plain,
! [SV9: $i,SV39: $i,SV28: mu] :
( ( ( likes @ SV28 @ cola @ SV39 )
= $false )
| ( ( likes @ SV28 @ pepsi @ SV39 )
= $true )
| ( ( a2 @ SV9 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(168,plain,
! [SV13: $i,SV46: $i,SV40: mu,SV30: mu] :
( ( ( ~ ~ ( ~ ( likes @ SV30 @ SV40 @ SV46 )
| ~ ~ ( ~ ! [SY613: $i] :
( ~ ( a1 @ SV46 @ SY613 )
| ( likes @ SV30 @ SV40 @ SY613 ) )
| ~ ! [SY614: $i] :
( ~ ( a2 @ SV46 @ SY614 )
| ( likes @ SV30 @ SV40 @ SY614 ) ) ) ) )
= $true )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(169,plain,
! [SV31: mu,SV41: mu,SV14: $i] :
( ( ( ~ ( a3 @ SV14 @ ( sK4_SY608 @ SV41 @ SV31 @ SV14 ) ) )
= $false )
| ( ( very_much_likes @ SV31 @ SV41 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(170,plain,
! [SV14: $i,SV41: mu,SV31: mu] :
( ( ( very_much_likes @ SV31 @ SV41 @ ( sK4_SY608 @ SV41 @ SV31 @ SV14 ) )
= $false )
| ( ( very_much_likes @ SV31 @ SV41 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(171,plain,
! [SV42: mu,SV32: mu,SV48: $i,SV15: $i] :
( ( ( ~ ( a3 @ SV15 @ SV48 )
| ~ ( very_much_likes @ SV32 @ SV42 @ SV48 ) )
= $true )
| ( ( likes @ SV32 @ SV42 @ SV15 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(172,plain,
! [SV43: mu,SV33: mu,SV49: $i,SV16: $i] :
( ( ( ~ ( a1 @ SV16 @ SV49 )
| ~ ( likes @ SV33 @ SV43 @ SV49 ) )
= $true )
| ( ( possibly_likes @ SV33 @ SV43 @ SV16 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(173,plain,
! [SV44: mu,SV34: mu,SV50: $i,SV17: $i] :
( ( ( ~ ( a2 @ SV17 @ SV50 )
| ~ ( likes @ SV34 @ SV44 @ SV50 ) )
= $true )
| ( ( possibly_likes @ SV34 @ SV44 @ SV17 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(174,plain,
! [SV45: mu,SV35: mu,SV51: $i,SV18: $i] :
( ( ( ~ ( a3 @ SV18 @ SV51 )
| ~ ( likes @ SV35 @ SV45 @ SV51 ) )
= $true )
| ( ( possibly_likes @ SV35 @ SV45 @ SV18 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(175,plain,
! [SV3: $i,SV22: mu,SV36: $i] :
( ( ( ! [SY603: $i] :
( ~ ( a1 @ SV36 @ SY603 )
| ~ ( likes @ SV22 @ pepsi @ SY603 ) ) )
= $true )
| ( ( likes @ SV22 @ cola @ SV36 )
= $true )
| ( ( a1 @ SV3 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(176,plain,
! [SV4: $i,SV23: mu,SV37: $i] :
( ( ( ! [SY604: $i] :
( ~ ( a1 @ SV37 @ SY604 )
| ~ ( likes @ SV23 @ cola @ SY604 ) ) )
= $true )
| ( ( likes @ SV23 @ pepsi @ SV37 )
= $true )
| ( ( a1 @ SV4 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(177,plain,
! [SV13: $i,SV46: $i,SV40: mu,SV30: mu] :
( ( ( ~ ( ~ ( likes @ SV30 @ SV40 @ SV46 )
| ~ ~ ( ~ ! [SY613: $i] :
( ~ ( a1 @ SV46 @ SY613 )
| ( likes @ SV30 @ SV40 @ SY613 ) )
| ~ ! [SY614: $i] :
( ~ ( a2 @ SV46 @ SY614 )
| ( likes @ SV30 @ SV40 @ SY614 ) ) ) ) )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(178,plain,
! [SV31: mu,SV41: mu,SV14: $i] :
( ( ( a3 @ SV14 @ ( sK4_SY608 @ SV41 @ SV31 @ SV14 ) )
= $true )
| ( ( very_much_likes @ SV31 @ SV41 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(179,plain,
! [SV42: mu,SV32: mu,SV48: $i,SV15: $i] :
( ( ( ~ ( a3 @ SV15 @ SV48 ) )
= $true )
| ( ( ~ ( very_much_likes @ SV32 @ SV42 @ SV48 ) )
= $true )
| ( ( likes @ SV32 @ SV42 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(180,plain,
! [SV43: mu,SV33: mu,SV49: $i,SV16: $i] :
( ( ( ~ ( a1 @ SV16 @ SV49 ) )
= $true )
| ( ( ~ ( likes @ SV33 @ SV43 @ SV49 ) )
= $true )
| ( ( possibly_likes @ SV33 @ SV43 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(181,plain,
! [SV44: mu,SV34: mu,SV50: $i,SV17: $i] :
( ( ( ~ ( a2 @ SV17 @ SV50 ) )
= $true )
| ( ( ~ ( likes @ SV34 @ SV44 @ SV50 ) )
= $true )
| ( ( possibly_likes @ SV34 @ SV44 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(182,plain,
! [SV45: mu,SV35: mu,SV51: $i,SV18: $i] :
( ( ( ~ ( a3 @ SV18 @ SV51 ) )
= $true )
| ( ( ~ ( likes @ SV35 @ SV45 @ SV51 ) )
= $true )
| ( ( possibly_likes @ SV35 @ SV45 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(183,plain,
! [SV3: $i,SV22: mu,SV52: $i,SV36: $i] :
( ( ( ~ ( a1 @ SV36 @ SV52 )
| ~ ( likes @ SV22 @ pepsi @ SV52 ) )
= $true )
| ( ( likes @ SV22 @ cola @ SV36 )
= $true )
| ( ( a1 @ SV3 @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(184,plain,
! [SV4: $i,SV23: mu,SV53: $i,SV37: $i] :
( ( ( ~ ( a1 @ SV37 @ SV53 )
| ~ ( likes @ SV23 @ cola @ SV53 ) )
= $true )
| ( ( likes @ SV23 @ pepsi @ SV37 )
= $true )
| ( ( a1 @ SV4 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(185,plain,
! [SV13: $i,SV46: $i,SV40: mu,SV30: mu] :
( ( ( ~ ( likes @ SV30 @ SV40 @ SV46 )
| ~ ~ ( ~ ! [SY613: $i] :
( ~ ( a1 @ SV46 @ SY613 )
| ( likes @ SV30 @ SV40 @ SY613 ) )
| ~ ! [SY614: $i] :
( ~ ( a2 @ SV46 @ SY614 )
| ( likes @ SV30 @ SV40 @ SY614 ) ) ) )
= $true )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(186,plain,
! [SV42: mu,SV32: mu,SV48: $i,SV15: $i] :
( ( ( a3 @ SV15 @ SV48 )
= $false )
| ( ( ~ ( very_much_likes @ SV32 @ SV42 @ SV48 ) )
= $true )
| ( ( likes @ SV32 @ SV42 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(187,plain,
! [SV43: mu,SV33: mu,SV49: $i,SV16: $i] :
( ( ( a1 @ SV16 @ SV49 )
= $false )
| ( ( ~ ( likes @ SV33 @ SV43 @ SV49 ) )
= $true )
| ( ( possibly_likes @ SV33 @ SV43 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(188,plain,
! [SV44: mu,SV34: mu,SV50: $i,SV17: $i] :
( ( ( a2 @ SV17 @ SV50 )
= $false )
| ( ( ~ ( likes @ SV34 @ SV44 @ SV50 ) )
= $true )
| ( ( possibly_likes @ SV34 @ SV44 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(189,plain,
! [SV45: mu,SV35: mu,SV51: $i,SV18: $i] :
( ( ( a3 @ SV18 @ SV51 )
= $false )
| ( ( ~ ( likes @ SV35 @ SV45 @ SV51 ) )
= $true )
| ( ( possibly_likes @ SV35 @ SV45 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(190,plain,
! [SV3: $i,SV22: mu,SV52: $i,SV36: $i] :
( ( ( ~ ( a1 @ SV36 @ SV52 ) )
= $true )
| ( ( ~ ( likes @ SV22 @ pepsi @ SV52 ) )
= $true )
| ( ( likes @ SV22 @ cola @ SV36 )
= $true )
| ( ( a1 @ SV3 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(191,plain,
! [SV4: $i,SV23: mu,SV53: $i,SV37: $i] :
( ( ( ~ ( a1 @ SV37 @ SV53 ) )
= $true )
| ( ( ~ ( likes @ SV23 @ cola @ SV53 ) )
= $true )
| ( ( likes @ SV23 @ pepsi @ SV37 )
= $true )
| ( ( a1 @ SV4 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(192,plain,
! [SV13: $i,SV46: $i,SV40: mu,SV30: mu] :
( ( ( ~ ( likes @ SV30 @ SV40 @ SV46 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY613: $i] :
( ~ ( a1 @ SV46 @ SY613 )
| ( likes @ SV30 @ SV40 @ SY613 ) )
| ~ ! [SY614: $i] :
( ~ ( a2 @ SV46 @ SY614 )
| ( likes @ SV30 @ SV40 @ SY614 ) ) ) )
= $true )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(193,plain,
! [SV15: $i,SV48: $i,SV42: mu,SV32: mu] :
( ( ( very_much_likes @ SV32 @ SV42 @ SV48 )
= $false )
| ( ( a3 @ SV15 @ SV48 )
= $false )
| ( ( likes @ SV32 @ SV42 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(194,plain,
! [SV16: $i,SV49: $i,SV43: mu,SV33: mu] :
( ( ( likes @ SV33 @ SV43 @ SV49 )
= $false )
| ( ( a1 @ SV16 @ SV49 )
= $false )
| ( ( possibly_likes @ SV33 @ SV43 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(195,plain,
! [SV17: $i,SV50: $i,SV44: mu,SV34: mu] :
( ( ( likes @ SV34 @ SV44 @ SV50 )
= $false )
| ( ( a2 @ SV17 @ SV50 )
= $false )
| ( ( possibly_likes @ SV34 @ SV44 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(196,plain,
! [SV18: $i,SV51: $i,SV45: mu,SV35: mu] :
( ( ( likes @ SV35 @ SV45 @ SV51 )
= $false )
| ( ( a3 @ SV18 @ SV51 )
= $false )
| ( ( possibly_likes @ SV35 @ SV45 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(197,plain,
! [SV3: $i,SV22: mu,SV52: $i,SV36: $i] :
( ( ( a1 @ SV36 @ SV52 )
= $false )
| ( ( ~ ( likes @ SV22 @ pepsi @ SV52 ) )
= $true )
| ( ( likes @ SV22 @ cola @ SV36 )
= $true )
| ( ( a1 @ SV3 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(198,plain,
! [SV4: $i,SV23: mu,SV53: $i,SV37: $i] :
( ( ( a1 @ SV37 @ SV53 )
= $false )
| ( ( ~ ( likes @ SV23 @ cola @ SV53 ) )
= $true )
| ( ( likes @ SV23 @ pepsi @ SV37 )
= $true )
| ( ( a1 @ SV4 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(199,plain,
! [SV13: $i,SV46: $i,SV40: mu,SV30: mu] :
( ( ( likes @ SV30 @ SV40 @ SV46 )
= $false )
| ( ( ~ ~ ( ~ ! [SY613: $i] :
( ~ ( a1 @ SV46 @ SY613 )
| ( likes @ SV30 @ SV40 @ SY613 ) )
| ~ ! [SY614: $i] :
( ~ ( a2 @ SV46 @ SY614 )
| ( likes @ SV30 @ SV40 @ SY614 ) ) ) )
= $true )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(200,plain,
! [SV3: $i,SV36: $i,SV52: $i,SV22: mu] :
( ( ( likes @ SV22 @ pepsi @ SV52 )
= $false )
| ( ( a1 @ SV36 @ SV52 )
= $false )
| ( ( likes @ SV22 @ cola @ SV36 )
= $true )
| ( ( a1 @ SV3 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(201,plain,
! [SV4: $i,SV37: $i,SV53: $i,SV23: mu] :
( ( ( likes @ SV23 @ cola @ SV53 )
= $false )
| ( ( a1 @ SV37 @ SV53 )
= $false )
| ( ( likes @ SV23 @ pepsi @ SV37 )
= $true )
| ( ( a1 @ SV4 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(202,plain,
! [SV13: $i,SV40: mu,SV30: mu,SV46: $i] :
( ( ( ~ ( ~ ! [SY613: $i] :
( ~ ( a1 @ SV46 @ SY613 )
| ( likes @ SV30 @ SV40 @ SY613 ) )
| ~ ! [SY614: $i] :
( ~ ( a2 @ SV46 @ SY614 )
| ( likes @ SV30 @ SV40 @ SY614 ) ) ) )
= $false )
| ( ( likes @ SV30 @ SV40 @ SV46 )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(203,plain,
! [SV13: $i,SV40: mu,SV30: mu,SV46: $i] :
( ( ( ~ ! [SY613: $i] :
( ~ ( a1 @ SV46 @ SY613 )
| ( likes @ SV30 @ SV40 @ SY613 ) )
| ~ ! [SY614: $i] :
( ~ ( a2 @ SV46 @ SY614 )
| ( likes @ SV30 @ SV40 @ SY614 ) ) )
= $true )
| ( ( likes @ SV30 @ SV40 @ SV46 )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(204,plain,
! [SV13: $i,SV40: mu,SV30: mu,SV46: $i] :
( ( ( ~ ! [SY613: $i] :
( ~ ( a1 @ SV46 @ SY613 )
| ( likes @ SV30 @ SV40 @ SY613 ) ) )
= $true )
| ( ( ~ ! [SY614: $i] :
( ~ ( a2 @ SV46 @ SY614 )
| ( likes @ SV30 @ SV40 @ SY614 ) ) )
= $true )
| ( ( likes @ SV30 @ SV40 @ SV46 )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(205,plain,
! [SV13: $i,SV40: mu,SV30: mu,SV46: $i] :
( ( ( ! [SY613: $i] :
( ~ ( a1 @ SV46 @ SY613 )
| ( likes @ SV30 @ SV40 @ SY613 ) ) )
= $false )
| ( ( ~ ! [SY614: $i] :
( ~ ( a2 @ SV46 @ SY614 )
| ( likes @ SV30 @ SV40 @ SY614 ) ) )
= $true )
| ( ( likes @ SV30 @ SV40 @ SV46 )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(206,plain,
! [SV30: mu,SV40: mu,SV13: $i,SV46: $i] :
( ( ( ~ ( a1 @ SV46 @ ( sK5_SY613 @ SV13 @ SV40 @ SV30 @ SV46 ) )
| ( likes @ SV30 @ SV40 @ ( sK5_SY613 @ SV13 @ SV40 @ SV30 @ SV46 ) ) )
= $false )
| ( ( ~ ! [SY614: $i] :
( ~ ( a2 @ SV46 @ SY614 )
| ( likes @ SV30 @ SV40 @ SY614 ) ) )
= $true )
| ( ( likes @ SV30 @ SV40 @ SV46 )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[205]) ).
thf(207,plain,
! [SV30: mu,SV40: mu,SV13: $i,SV46: $i] :
( ( ( ~ ( a1 @ SV46 @ ( sK5_SY613 @ SV13 @ SV40 @ SV30 @ SV46 ) ) )
= $false )
| ( ( ~ ! [SY614: $i] :
( ~ ( a2 @ SV46 @ SY614 )
| ( likes @ SV30 @ SV40 @ SY614 ) ) )
= $true )
| ( ( likes @ SV30 @ SV40 @ SV46 )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(208,plain,
! [SV46: $i,SV13: $i,SV40: mu,SV30: mu] :
( ( ( likes @ SV30 @ SV40 @ ( sK5_SY613 @ SV13 @ SV40 @ SV30 @ SV46 ) )
= $false )
| ( ( ~ ! [SY614: $i] :
( ~ ( a2 @ SV46 @ SY614 )
| ( likes @ SV30 @ SV40 @ SY614 ) ) )
= $true )
| ( ( likes @ SV30 @ SV40 @ SV46 )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(209,plain,
! [SV30: mu,SV40: mu,SV13: $i,SV46: $i] :
( ( ( a1 @ SV46 @ ( sK5_SY613 @ SV13 @ SV40 @ SV30 @ SV46 ) )
= $true )
| ( ( ~ ! [SY614: $i] :
( ~ ( a2 @ SV46 @ SY614 )
| ( likes @ SV30 @ SV40 @ SY614 ) ) )
= $true )
| ( ( likes @ SV30 @ SV40 @ SV46 )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(210,plain,
! [SV13: $i,SV40: mu,SV30: mu,SV46: $i] :
( ( ( ! [SY614: $i] :
( ~ ( a2 @ SV46 @ SY614 )
| ( likes @ SV30 @ SV40 @ SY614 ) ) )
= $false )
| ( ( likes @ SV30 @ SV40 @ ( sK5_SY613 @ SV13 @ SV40 @ SV30 @ SV46 ) )
= $false )
| ( ( likes @ SV30 @ SV40 @ SV46 )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(211,plain,
! [SV13: $i,SV40: mu,SV30: mu,SV46: $i] :
( ( ( ! [SY614: $i] :
( ~ ( a2 @ SV46 @ SY614 )
| ( likes @ SV30 @ SV40 @ SY614 ) ) )
= $false )
| ( ( a1 @ SV46 @ ( sK5_SY613 @ SV13 @ SV40 @ SV30 @ SV46 ) )
= $true )
| ( ( likes @ SV30 @ SV40 @ SV46 )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(212,plain,
! [SV30: mu,SV40: mu,SV13: $i,SV46: $i] :
( ( ( ~ ( a2 @ SV46 @ ( sK6_SY614 @ SV13 @ SV40 @ SV30 @ SV46 ) )
| ( likes @ SV30 @ SV40 @ ( sK6_SY614 @ SV13 @ SV40 @ SV30 @ SV46 ) ) )
= $false )
| ( ( likes @ SV30 @ SV40 @ ( sK5_SY613 @ SV13 @ SV40 @ SV30 @ SV46 ) )
= $false )
| ( ( likes @ SV30 @ SV40 @ SV46 )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[210]) ).
thf(213,plain,
! [SV30: mu,SV40: mu,SV13: $i,SV46: $i] :
( ( ( ~ ( a2 @ SV46 @ ( sK7_SY614 @ SV13 @ SV40 @ SV30 @ SV46 ) )
| ( likes @ SV30 @ SV40 @ ( sK7_SY614 @ SV13 @ SV40 @ SV30 @ SV46 ) ) )
= $false )
| ( ( a1 @ SV46 @ ( sK5_SY613 @ SV13 @ SV40 @ SV30 @ SV46 ) )
= $true )
| ( ( likes @ SV30 @ SV40 @ SV46 )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[211]) ).
thf(214,plain,
! [SV30: mu,SV40: mu,SV13: $i,SV46: $i] :
( ( ( ~ ( a2 @ SV46 @ ( sK6_SY614 @ SV13 @ SV40 @ SV30 @ SV46 ) ) )
= $false )
| ( ( likes @ SV30 @ SV40 @ ( sK5_SY613 @ SV13 @ SV40 @ SV30 @ SV46 ) )
= $false )
| ( ( likes @ SV30 @ SV40 @ SV46 )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(215,plain,
! [SV46: $i,SV13: $i,SV40: mu,SV30: mu] :
( ( ( likes @ SV30 @ SV40 @ ( sK6_SY614 @ SV13 @ SV40 @ SV30 @ SV46 ) )
= $false )
| ( ( likes @ SV30 @ SV40 @ ( sK5_SY613 @ SV13 @ SV40 @ SV30 @ SV46 ) )
= $false )
| ( ( likes @ SV30 @ SV40 @ SV46 )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(216,plain,
! [SV30: mu,SV40: mu,SV13: $i,SV46: $i] :
( ( ( ~ ( a2 @ SV46 @ ( sK7_SY614 @ SV13 @ SV40 @ SV30 @ SV46 ) ) )
= $false )
| ( ( a1 @ SV46 @ ( sK5_SY613 @ SV13 @ SV40 @ SV30 @ SV46 ) )
= $true )
| ( ( likes @ SV30 @ SV40 @ SV46 )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(217,plain,
! [SV46: $i,SV13: $i,SV40: mu,SV30: mu] :
( ( ( likes @ SV30 @ SV40 @ ( sK7_SY614 @ SV13 @ SV40 @ SV30 @ SV46 ) )
= $false )
| ( ( a1 @ SV46 @ ( sK5_SY613 @ SV13 @ SV40 @ SV30 @ SV46 ) )
= $true )
| ( ( likes @ SV30 @ SV40 @ SV46 )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(218,plain,
! [SV30: mu,SV40: mu,SV13: $i,SV46: $i] :
( ( ( a2 @ SV46 @ ( sK6_SY614 @ SV13 @ SV40 @ SV30 @ SV46 ) )
= $true )
| ( ( likes @ SV30 @ SV40 @ ( sK5_SY613 @ SV13 @ SV40 @ SV30 @ SV46 ) )
= $false )
| ( ( likes @ SV30 @ SV40 @ SV46 )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(219,plain,
! [SV30: mu,SV40: mu,SV13: $i,SV46: $i] :
( ( ( a2 @ SV46 @ ( sK7_SY614 @ SV13 @ SV40 @ SV30 @ SV46 ) )
= $true )
| ( ( a1 @ SV46 @ ( sK5_SY613 @ SV13 @ SV40 @ SV30 @ SV46 ) )
= $true )
| ( ( likes @ SV30 @ SV40 @ SV46 )
= $false )
| ( ( very_much_likes @ SV30 @ SV40 @ SV46 )
= $true )
| ( ( a3 @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(220,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[118,219,218,217,215,201,200,196,195,194,193,178,170,167,166,153,146,145,144,143,127,124,123,122,119]) ).
thf(221,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT031^2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % 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 : n005.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 17:59:30 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.29
% 0.51/0.29 No.of.Axioms: 18
% 0.51/0.29
% 0.51/0.29 Length.of.Defs: 5293
% 0.51/0.29
% 0.51/0.29 Contains.Choice.Funs: false
% 0.51/0.29 ............
% 0.51/0.29
% 0.51/0.29 ********************************
% 0.51/0.29 * All subproblems solved! *
% 0.51/0.29 ********************************
% 0.51/0.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:18,ps:0,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:220,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.51/0.29
% 0.51/0.29 %**** Beginning of derivation protocol ****
% 0.51/0.29 % SZS output start CNFRefutation
% See solution above
% 0.51/0.30
% 0.51/0.30 %**** End of derivation protocol ****
% 0.51/0.30 %**** no. of clauses in derivation: 221 ****
% 0.51/0.30 %**** clause counter: 220 ****
% 0.51/0.30
% 0.51/0.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:18,ps:0,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:220,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------