%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : AGT041^1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 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 : n019.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 10:07:13 AM UTC 2026
% Result : Theorem 2.00s 0.56s
% Output : CNFRefutation 2.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 72
% Syntax : Number of formulae : 412 ( 252 unt; 0 typ; 33 def)
% Number of atoms : 2208 ( 566 equ; 0 cnn)
% Maximal formula atoms : 9 ( 5 avg)
% Number of connectives : 3487 ( 479 ~; 523 |; 27 &;2430 @)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 65 ( 65 >; 0 *; 0 +; 0 <<)
% Number of symbols : 54 ( 51 usr; 8 con; 0-3 aty)
% Number of variables : 1038 ( 67 ^; 962 !; 9 ?;1038 :)
% 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_cond4s,type,
cond4s: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
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_SY62,type,
sK2_SY62: $i > $i ).
thf(tp_sK3_SY66,type,
sK3_SY66: $i > $i ).
thf(tp_sK4_SY238,type,
sK4_SY238: mu > mu > $i > $i ).
thf(tp_sK5_SY464,type,
sK5_SY464: $i > $i ).
thf(tp_sK6_SY526,type,
sK6_SY526: $i > $i ).
thf(tp_sK7_SY568,type,
sK7_SY568: $i > $i ).
thf(tp_subrel,type,
subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(tp_very_much_likes,type,
very_much_likes: mu > mu > $i > $o ).
thf(cond4s,definition,
( cond4s
= ( ^ [R1: $i > $i > $o,R2: $i > $i > $o] :
! [U: $i,V: $i,W: $i] :
( ( ( R1 @ U @ V )
& ( R2 @ V @ W ) )
=> ( R2 @ U @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cond4s_def) ).
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(subrel,definition,
( subrel
= ( ^ [R1: $i > $i > $o,R2: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R1 @ X @ Y )
=> ( R2 @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subrel_def) ).
thf(1,axiom,
meuclidean @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_5_a3) ).
thf(2,axiom,
meuclidean @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_5_a2) ).
thf(3,axiom,
meuclidean @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_5_a1) ).
thf(4,axiom,
cond4s @ a3 @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a3_a3) ).
thf(5,axiom,
cond4s @ a2 @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a3_a2) ).
thf(6,axiom,
cond4s @ a1 @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a3_a1) ).
thf(7,axiom,
cond4s @ a2 @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a2_a3) ).
thf(8,axiom,
cond4s @ a2 @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a2_a2) ).
thf(9,axiom,
cond4s @ a2 @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a2_a1) ).
thf(10,axiom,
cond4s @ a1 @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a1_a3) ).
thf(11,axiom,
cond4s @ a1 @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a1_a2) ).
thf(12,axiom,
cond4s @ a1 @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a1_a1) ).
thf(13,axiom,
subrel @ a2 @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_a2_a3) ).
thf(14,axiom,
subrel @ a1 @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_a1_a3) ).
thf(15,axiom,
subrel @ a1 @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_a1_a2) ).
thf(16,axiom,
mserial @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a3) ).
thf(17,axiom,
mserial @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a2) ).
thf(18,axiom,
mserial @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a1) ).
thf(19,axiom,
msymmetric @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a3) ).
thf(20,axiom,
msymmetric @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a2) ).
thf(21,axiom,
msymmetric @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a1) ).
thf(22,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(23,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(24,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(25,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(26,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(28,axiom,
mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_3) ).
thf(29,axiom,
mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_2) ).
thf(30,axiom,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_1) ).
thf(31,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(32,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(33,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_3) ).
thf(34,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ cola ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_2) ).
thf(35,axiom,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_1) ).
thf(36,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(37,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(38,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_2) ).
thf(39,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_1) ).
thf(40,conjecture,
mvalid @ ( possibly_likes @ piotr @ beer ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(41,negated_conjecture,
( ( mvalid @ ( possibly_likes @ piotr @ beer ) )
= $false ),
inference(negate_conjecture,[status(cth)],[40]) ).
thf(42,plain,
( ( ! [SY0: $i] : ( possibly_likes @ piotr @ beer @ SY0 ) )
= $false ),
inference(unfold_def,[status(thm)],[41,cond4s,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,subrel]) ).
thf(43,plain,
( ( ! [SY2: $i,SY3: $i,SY4: $i] :
( ( ( a3 @ SY2 @ SY3 )
& ( a3 @ SY2 @ SY4 ) )
=> ( a3 @ SY3 @ SY4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1,cond4s,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,subrel]) ).
thf(44,plain,
( ( ! [SY8: $i,SY9: $i,SY10: $i] :
( ( ( a2 @ SY8 @ SY9 )
& ( a2 @ SY8 @ SY10 ) )
=> ( a2 @ SY9 @ SY10 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2,cond4s,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,subrel]) ).
thf(45,plain,
( ( ! [SY18: $i,SY19: $i,SY20: $i] :
( ( ( a3 @ SY18 @ SY19 )
& ( a3 @ SY19 @ SY20 ) )
=> ( a3 @ SY18 @ SY20 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4,cond4s,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,subrel]) ).
thf(46,plain,
( ( ! [SY28: $i,SY29: $i,SY30: $i] :
( ( ( a2 @ SY28 @ SY29 )
& ( a2 @ SY29 @ SY30 ) )
=> ( a2 @ SY28 @ SY30 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5,cond4s,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,subrel]) ).
thf(47,plain,
( ( ! [SY38: $i,SY39: $i,SY40: $i] :
( ( ( a2 @ SY38 @ SY39 )
& ( a3 @ SY39 @ SY40 ) )
=> ( a3 @ SY38 @ SY40 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,cond4s,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,subrel]) ).
thf(48,plain,
( ( ! [SY48: $i,SY49: $i,SY50: $i] :
( ( ( a2 @ SY48 @ SY49 )
& ( a2 @ SY49 @ SY50 ) )
=> ( a2 @ SY48 @ SY50 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,cond4s,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,subrel]) ).
thf(49,plain,
( ( ! [SY57: $i,SY58: $i] :
( ( a2 @ SY57 @ SY58 )
=> ( a3 @ SY57 @ SY58 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,cond4s,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,subrel]) ).
thf(50,plain,
( ( ! [SY61: $i] :
? [SY62: $i] : ( a3 @ SY61 @ SY62 ) )
= $true ),
inference(unfold_def,[status(thm)],[16,cond4s,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,subrel]) ).
thf(51,plain,
( ( ! [SY65: $i] :
? [SY66: $i] : ( a2 @ SY65 @ SY66 ) )
= $true ),
inference(unfold_def,[status(thm)],[17,cond4s,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,subrel]) ).
thf(52,plain,
( ( ! [SY69: $i,SY70: $i] :
( ( a3 @ SY69 @ SY70 )
=> ( a3 @ SY70 @ SY69 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19,cond4s,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,subrel]) ).
thf(53,plain,
( ( ! [SY73: $i,SY74: $i] :
( ( a2 @ SY73 @ SY74 )
=> ( a2 @ SY74 @ SY73 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20,cond4s,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,subrel]) ).
thf(54,plain,
( ( ! [SY112: $i,SY113: mu,SY114: mu] :
( ~ ~ ! [SY115: $i] :
( ~ ( a3 @ SY112 @ SY115 )
| ~ ( likes @ SY113 @ SY114 @ SY115 ) )
| ( possibly_likes @ SY113 @ SY114 @ SY112 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22,cond4s,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,subrel]) ).
thf(55,plain,
( ( ! [SY155: $i,SY156: mu,SY157: mu] :
( ~ ~ ! [SY158: $i] :
( ~ ( a2 @ SY155 @ SY158 )
| ~ ( likes @ SY156 @ SY157 @ SY158 ) )
| ( possibly_likes @ SY156 @ SY157 @ SY155 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23,cond4s,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,subrel]) ).
thf(56,plain,
( ( ! [SY198: $i,SY199: mu,SY200: mu] :
( ~ ~ ! [SY201: $i] :
( ~ ( a3 @ SY198 @ SY201 )
| ~ ( very_much_likes @ SY199 @ SY200 @ SY201 ) )
| ( likes @ SY199 @ SY200 @ SY198 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25,cond4s,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,subrel]) ).
thf(57,plain,
( ( ! [SY235: $i,SY236: mu,SY237: mu] :
( ~ ! [SY238: $i] :
( ~ ( a3 @ SY235 @ SY238 )
| ( very_much_likes @ SY236 @ SY237 @ SY238 ) )
| ( very_much_likes @ SY236 @ SY237 @ SY235 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26,cond4s,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,subrel]) ).
thf(58,plain,
( ( ! [SY248: $i,SY249: $i] :
( ~ ( a3 @ SY248 @ SY249 )
| ( likes @ jan @ cola @ SY249 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30,cond4s,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,subrel]) ).
thf(59,plain,
( ( ! [SY269: $i,SY270: mu,SY271: $i] :
( ~ ( a2 @ SY269 @ SY271 )
| ~ ( likes @ SY270 @ cola @ SY271 )
| ( likes @ SY270 @ pepsi @ SY271 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31,cond4s,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,subrel]) ).
thf(60,plain,
( ( ! [SY292: $i,SY293: mu,SY294: $i] :
( ~ ( a2 @ SY292 @ SY294 )
| ~ ( likes @ SY293 @ pepsi @ SY294 )
| ( likes @ SY293 @ cola @ SY294 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32,cond4s,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,subrel]) ).
thf(61,plain,
( ( ! [SY303: $i,SY304: $i] :
( ~ ( a2 @ SY303 @ SY304 )
| ( likes @ jan @ pepsi @ SY304 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35,cond4s,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,subrel]) ).
thf(62,plain,
( ( ! [SY342: $i,SY343: mu,SY344: $i] :
( ~ ( a1 @ SY342 @ SY344 )
| ~ ~ ! [SY339: $i] :
( ~ ( a1 @ SY344 @ SY339 )
| ~ ( likes @ SY343 @ cola @ SY339 ) )
| ( likes @ SY343 @ pepsi @ SY344 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36,cond4s,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,subrel]) ).
thf(63,plain,
( ( ! [SY385: $i,SY386: mu,SY387: $i] :
( ~ ( a1 @ SY385 @ SY387 )
| ~ ~ ! [SY382: $i] :
( ~ ( a1 @ SY387 @ SY382 )
| ~ ( likes @ SY386 @ pepsi @ SY382 ) )
| ( likes @ SY386 @ cola @ SY387 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37,cond4s,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,subrel]) ).
thf(64,plain,
( ( ! [SY393: $i,SY394: $i,SY395: $i] :
( ( ( a1 @ SY393 @ SY394 )
& ( a1 @ SY393 @ SY395 ) )
=> ( a1 @ SY394 @ SY395 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3,cond4s,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,subrel]) ).
thf(65,plain,
( ( ! [SY403: $i,SY404: $i,SY405: $i] :
( ( ( a1 @ SY403 @ SY404 )
& ( a1 @ SY404 @ SY405 ) )
=> ( a1 @ SY403 @ SY405 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6,cond4s,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,subrel]) ).
thf(66,plain,
( ( ! [SY413: $i,SY414: $i,SY415: $i] :
( ( ( a2 @ SY413 @ SY414 )
& ( a1 @ SY414 @ SY415 ) )
=> ( a1 @ SY413 @ SY415 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,cond4s,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,subrel]) ).
thf(67,plain,
( ( ! [SY423: $i,SY424: $i,SY425: $i] :
( ( ( a1 @ SY423 @ SY424 )
& ( a3 @ SY424 @ SY425 ) )
=> ( a3 @ SY423 @ SY425 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,cond4s,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,subrel]) ).
thf(68,plain,
( ( ! [SY433: $i,SY434: $i,SY435: $i] :
( ( ( a1 @ SY433 @ SY434 )
& ( a2 @ SY434 @ SY435 ) )
=> ( a2 @ SY433 @ SY435 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11,cond4s,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,subrel]) ).
thf(69,plain,
( ( ! [SY443: $i,SY444: $i,SY445: $i] :
( ( ( a1 @ SY443 @ SY444 )
& ( a1 @ SY444 @ SY445 ) )
=> ( a1 @ SY443 @ SY445 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,cond4s,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,subrel]) ).
thf(70,plain,
( ( ! [SY452: $i,SY453: $i] :
( ( a1 @ SY452 @ SY453 )
=> ( a3 @ SY452 @ SY453 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14,cond4s,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,subrel]) ).
thf(71,plain,
( ( ! [SY459: $i,SY460: $i] :
( ( a1 @ SY459 @ SY460 )
=> ( a2 @ SY459 @ SY460 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15,cond4s,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,subrel]) ).
thf(72,plain,
( ( ! [SY463: $i] :
? [SY464: $i] : ( a1 @ SY463 @ SY464 ) )
= $true ),
inference(unfold_def,[status(thm)],[18,cond4s,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,subrel]) ).
thf(73,plain,
( ( ! [SY467: $i,SY468: $i] :
( ( a1 @ SY467 @ SY468 )
=> ( a1 @ SY468 @ SY467 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21,cond4s,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,subrel]) ).
thf(74,plain,
( ( ! [SY506: $i,SY507: mu,SY508: mu] :
( ~ ~ ! [SY509: $i] :
( ~ ( a1 @ SY506 @ SY509 )
| ~ ( likes @ SY507 @ SY508 @ SY509 ) )
| ( possibly_likes @ SY507 @ SY508 @ SY506 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24,cond4s,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,subrel]) ).
thf(75,plain,
( ( ! [SY525: $i] :
~ ! [SY526: $i] :
( ~ ( a3 @ SY525 @ SY526 )
| ~ ( likes @ piotr @ pepsi @ SY526 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29,cond4s,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,subrel]) ).
thf(76,plain,
( ( ! [SY534: $i,SY535: $i] :
( ~ ( a1 @ SY534 @ SY535 )
| ( likes @ piotr @ cola @ SY535 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34,cond4s,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,subrel]) ).
thf(77,plain,
( ( ! [SY543: $i,SY544: $i] :
( ~ ( a1 @ SY543 @ SY544 )
| ( likes @ piotr @ pepsi @ SY544 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38,cond4s,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,subrel]) ).
thf(78,plain,
( ( ! [SY552: $i,SY553: $i] :
( ~ ( a1 @ SY552 @ SY553 )
| ( likes @ jan @ cola @ SY553 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39,cond4s,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,subrel]) ).
thf(79,plain,
( ( ! [SY567: $i] :
~ ! [SY568: $i] :
( ~ ( a1 @ SY567 @ SY568 )
| ~ ( likes @ piotr @ beer @ SY568 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28,cond4s,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,subrel]) ).
thf(80,plain,
( ( ! [SY576: $i,SY577: $i] :
( ~ ( a1 @ SY576 @ SY577 )
| ( likes @ piotr @ beer @ SY577 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33,cond4s,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,subrel]) ).
thf(81,plain,
( ( possibly_likes @ piotr @ beer @ sK1_SY0 )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[42]) ).
thf(82,plain,
( ( ~ ( possibly_likes @ piotr @ beer @ sK1_SY0 ) )
= $true ),
inference(polarity_switch,[status(thm)],[81]) ).
thf(83,plain,
( ( ! [SY2: $i,SY3: $i,SY4: $i] :
( ~ ( a3 @ SY2 @ SY3 )
| ~ ( a3 @ SY2 @ SY4 )
| ( a3 @ SY3 @ SY4 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(84,plain,
( ( ! [SY8: $i,SY9: $i,SY10: $i] :
( ~ ( a2 @ SY8 @ SY9 )
| ~ ( a2 @ SY8 @ SY10 )
| ( a2 @ SY9 @ SY10 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(85,plain,
( ( ! [SY18: $i,SY19: $i,SY20: $i] :
( ~ ( a3 @ SY18 @ SY19 )
| ~ ( a3 @ SY19 @ SY20 )
| ( a3 @ SY18 @ SY20 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(86,plain,
( ( ! [SY28: $i,SY29: $i,SY30: $i] :
( ~ ( a2 @ SY28 @ SY29 )
| ~ ( a2 @ SY29 @ SY30 )
| ( a2 @ SY28 @ SY30 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(87,plain,
( ( ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ( a2 @ SY38 @ SY39 )
| ~ ( a3 @ SY39 @ SY40 )
| ( a3 @ SY38 @ SY40 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(88,plain,
( ( ! [SY48: $i,SY49: $i,SY50: $i] :
( ~ ( a2 @ SY48 @ SY49 )
| ~ ( a2 @ SY49 @ SY50 )
| ( a2 @ SY48 @ SY50 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(89,plain,
( ( ! [SY57: $i,SY58: $i] :
( ~ ( a2 @ SY57 @ SY58 )
| ( a3 @ SY57 @ SY58 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(90,plain,
( ( ! [SY61: $i] : ( a3 @ SY61 @ ( sK2_SY62 @ SY61 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(91,plain,
( ( ! [SY65: $i] : ( a2 @ SY65 @ ( sK3_SY66 @ SY65 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(92,plain,
( ( ! [SY69: $i,SY70: $i] :
( ~ ( a3 @ SY69 @ SY70 )
| ( a3 @ SY70 @ SY69 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(93,plain,
( ( ! [SY73: $i,SY74: $i] :
( ~ ( a2 @ SY73 @ SY74 )
| ( a2 @ SY74 @ SY73 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(94,plain,
( ( ! [SY112: $i,SY113: mu,SY114: mu] :
( ! [SY115: $i] :
( ~ ( a3 @ SY112 @ SY115 )
| ~ ( likes @ SY113 @ SY114 @ SY115 ) )
| ( possibly_likes @ SY113 @ SY114 @ SY112 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(95,plain,
( ( ! [SY155: $i,SY156: mu,SY157: mu] :
( ! [SY158: $i] :
( ~ ( a2 @ SY155 @ SY158 )
| ~ ( likes @ SY156 @ SY157 @ SY158 ) )
| ( possibly_likes @ SY156 @ SY157 @ SY155 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(96,plain,
( ( ! [SY198: $i,SY199: mu,SY200: mu] :
( ! [SY201: $i] :
( ~ ( a3 @ SY198 @ SY201 )
| ~ ( very_much_likes @ SY199 @ SY200 @ SY201 ) )
| ( likes @ SY199 @ SY200 @ SY198 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(97,plain,
( ( ! [SY235: $i,SY236: mu,SY237: mu] :
( ( ( a3 @ SY235 @ ( sK4_SY238 @ SY237 @ SY236 @ SY235 ) )
& ~ ( very_much_likes @ SY236 @ SY237 @ ( sK4_SY238 @ SY237 @ SY236 @ SY235 ) ) )
| ( very_much_likes @ SY236 @ SY237 @ SY235 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(98,plain,
( ( ! [SY342: $i,SY343: mu,SY344: $i] :
( ~ ( a1 @ SY342 @ SY344 )
| ! [SY339: $i] :
( ~ ( a1 @ SY344 @ SY339 )
| ~ ( likes @ SY343 @ cola @ SY339 ) )
| ( likes @ SY343 @ pepsi @ SY344 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(99,plain,
( ( ! [SY385: $i,SY386: mu,SY387: $i] :
( ~ ( a1 @ SY385 @ SY387 )
| ! [SY382: $i] :
( ~ ( a1 @ SY387 @ SY382 )
| ~ ( likes @ SY386 @ pepsi @ SY382 ) )
| ( likes @ SY386 @ cola @ SY387 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(100,plain,
( ( ! [SY393: $i,SY394: $i,SY395: $i] :
( ~ ( a1 @ SY393 @ SY394 )
| ~ ( a1 @ SY393 @ SY395 )
| ( a1 @ SY394 @ SY395 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(101,plain,
( ( ! [SY403: $i,SY404: $i,SY405: $i] :
( ~ ( a1 @ SY403 @ SY404 )
| ~ ( a1 @ SY404 @ SY405 )
| ( a1 @ SY403 @ SY405 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[65]) ).
thf(102,plain,
( ( ! [SY413: $i,SY414: $i,SY415: $i] :
( ~ ( a1 @ SY414 @ SY415 )
| ~ ( a2 @ SY413 @ SY414 )
| ( a1 @ SY413 @ SY415 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(103,plain,
( ( ! [SY423: $i,SY424: $i,SY425: $i] :
( ~ ( a1 @ SY423 @ SY424 )
| ~ ( a3 @ SY424 @ SY425 )
| ( a3 @ SY423 @ SY425 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(104,plain,
( ( ! [SY433: $i,SY434: $i,SY435: $i] :
( ~ ( a1 @ SY433 @ SY434 )
| ~ ( a2 @ SY434 @ SY435 )
| ( a2 @ SY433 @ SY435 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(105,plain,
( ( ! [SY443: $i,SY444: $i,SY445: $i] :
( ~ ( a1 @ SY443 @ SY444 )
| ~ ( a1 @ SY444 @ SY445 )
| ( a1 @ SY443 @ SY445 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[69]) ).
thf(106,plain,
( ( ! [SY452: $i,SY453: $i] :
( ~ ( a1 @ SY452 @ SY453 )
| ( a3 @ SY452 @ SY453 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(107,plain,
( ( ! [SY459: $i,SY460: $i] :
( ~ ( a1 @ SY459 @ SY460 )
| ( a2 @ SY459 @ SY460 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[71]) ).
thf(108,plain,
( ( ! [SY463: $i] : ( a1 @ SY463 @ ( sK5_SY464 @ SY463 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(109,plain,
( ( ! [SY467: $i,SY468: $i] :
( ~ ( a1 @ SY467 @ SY468 )
| ( a1 @ SY468 @ SY467 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(110,plain,
( ( ! [SY506: $i,SY507: mu,SY508: mu] :
( ! [SY509: $i] :
( ~ ( a1 @ SY506 @ SY509 )
| ~ ( likes @ SY507 @ SY508 @ SY509 ) )
| ( possibly_likes @ SY507 @ SY508 @ SY506 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(111,plain,
( ( ! [SY525: $i] :
( ( a3 @ SY525 @ ( sK6_SY526 @ SY525 ) )
& ( likes @ piotr @ pepsi @ ( sK6_SY526 @ SY525 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[75]) ).
thf(112,plain,
( ( ! [SY567: $i] :
( ( a1 @ SY567 @ ( sK7_SY568 @ SY567 ) )
& ( likes @ piotr @ beer @ ( sK7_SY568 @ SY567 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[79]) ).
thf(113,plain,
( ( ! [SY576: $i,SY577: $i] :
( ~ ( a1 @ SY576 @ SY577 )
| ( likes @ piotr @ beer @ SY577 ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(114,plain,
( ( ! [SY567: $i] :
( ( a1 @ SY567 @ ( sK7_SY568 @ SY567 ) )
& ( likes @ piotr @ beer @ ( sK7_SY568 @ SY567 ) ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(115,plain,
( ( ! [SY552: $i,SY553: $i] :
( ~ ( a1 @ SY552 @ SY553 )
| ( likes @ jan @ cola @ SY553 ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(116,plain,
( ( ! [SY543: $i,SY544: $i] :
( ~ ( a1 @ SY543 @ SY544 )
| ( likes @ piotr @ pepsi @ SY544 ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(117,plain,
( ( ! [SY534: $i,SY535: $i] :
( ~ ( a1 @ SY534 @ SY535 )
| ( likes @ piotr @ cola @ SY535 ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(118,plain,
( ( ! [SY525: $i] :
( ( a3 @ SY525 @ ( sK6_SY526 @ SY525 ) )
& ( likes @ piotr @ pepsi @ ( sK6_SY526 @ SY525 ) ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(119,plain,
( ( ! [SY506: $i,SY507: mu,SY508: mu] :
( ! [SY509: $i] :
( ~ ( a1 @ SY506 @ SY509 )
| ~ ( likes @ SY507 @ SY508 @ SY509 ) )
| ( possibly_likes @ SY507 @ SY508 @ SY506 ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(120,plain,
( ( ! [SY467: $i,SY468: $i] :
( ~ ( a1 @ SY467 @ SY468 )
| ( a1 @ SY468 @ SY467 ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(121,plain,
( ( ! [SY463: $i] : ( a1 @ SY463 @ ( sK5_SY464 @ SY463 ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(122,plain,
( ( ! [SY459: $i,SY460: $i] :
( ~ ( a1 @ SY459 @ SY460 )
| ( a2 @ SY459 @ SY460 ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(123,plain,
( ( ! [SY452: $i,SY453: $i] :
( ~ ( a1 @ SY452 @ SY453 )
| ( a3 @ SY452 @ SY453 ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(124,plain,
( ( ! [SY443: $i,SY444: $i,SY445: $i] :
( ~ ( a1 @ SY443 @ SY444 )
| ~ ( a1 @ SY444 @ SY445 )
| ( a1 @ SY443 @ SY445 ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(125,plain,
( ( ! [SY433: $i,SY434: $i,SY435: $i] :
( ~ ( a1 @ SY433 @ SY434 )
| ~ ( a2 @ SY434 @ SY435 )
| ( a2 @ SY433 @ SY435 ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(126,plain,
( ( ! [SY423: $i,SY424: $i,SY425: $i] :
( ~ ( a1 @ SY423 @ SY424 )
| ~ ( a3 @ SY424 @ SY425 )
| ( a3 @ SY423 @ SY425 ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(127,plain,
( ( ! [SY413: $i,SY414: $i,SY415: $i] :
( ~ ( a1 @ SY414 @ SY415 )
| ~ ( a2 @ SY413 @ SY414 )
| ( a1 @ SY413 @ SY415 ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(128,plain,
( ( ! [SY403: $i,SY404: $i,SY405: $i] :
( ~ ( a1 @ SY403 @ SY404 )
| ~ ( a1 @ SY404 @ SY405 )
| ( a1 @ SY403 @ SY405 ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(129,plain,
( ( ! [SY393: $i,SY394: $i,SY395: $i] :
( ~ ( a1 @ SY393 @ SY394 )
| ~ ( a1 @ SY393 @ SY395 )
| ( a1 @ SY394 @ SY395 ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(130,plain,
( ( ! [SY385: $i,SY386: mu,SY387: $i] :
( ~ ( a1 @ SY385 @ SY387 )
| ! [SY382: $i] :
( ~ ( a1 @ SY387 @ SY382 )
| ~ ( likes @ SY386 @ pepsi @ SY382 ) )
| ( likes @ SY386 @ cola @ SY387 ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(131,plain,
( ( ! [SY342: $i,SY343: mu,SY344: $i] :
( ~ ( a1 @ SY342 @ SY344 )
| ! [SY339: $i] :
( ~ ( a1 @ SY344 @ SY339 )
| ~ ( likes @ SY343 @ cola @ SY339 ) )
| ( likes @ SY343 @ pepsi @ SY344 ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(132,plain,
( ( ! [SY303: $i,SY304: $i] :
( ~ ( a2 @ SY303 @ SY304 )
| ( likes @ jan @ pepsi @ SY304 ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(133,plain,
( ( ! [SY292: $i,SY293: mu,SY294: $i] :
( ~ ( a2 @ SY292 @ SY294 )
| ~ ( likes @ SY293 @ pepsi @ SY294 )
| ( likes @ SY293 @ cola @ SY294 ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(134,plain,
( ( ! [SY269: $i,SY270: mu,SY271: $i] :
( ~ ( a2 @ SY269 @ SY271 )
| ~ ( likes @ SY270 @ cola @ SY271 )
| ( likes @ SY270 @ pepsi @ SY271 ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(135,plain,
( ( ! [SY248: $i,SY249: $i] :
( ~ ( a3 @ SY248 @ SY249 )
| ( likes @ jan @ cola @ SY249 ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(136,plain,
( ( ! [SY235: $i,SY236: mu,SY237: mu] :
( ( ( a3 @ SY235 @ ( sK4_SY238 @ SY237 @ SY236 @ SY235 ) )
& ~ ( very_much_likes @ SY236 @ SY237 @ ( sK4_SY238 @ SY237 @ SY236 @ SY235 ) ) )
| ( very_much_likes @ SY236 @ SY237 @ SY235 ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(137,plain,
( ( ! [SY198: $i,SY199: mu,SY200: mu] :
( ! [SY201: $i] :
( ~ ( a3 @ SY198 @ SY201 )
| ~ ( very_much_likes @ SY199 @ SY200 @ SY201 ) )
| ( likes @ SY199 @ SY200 @ SY198 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(138,plain,
( ( ! [SY155: $i,SY156: mu,SY157: mu] :
( ! [SY158: $i] :
( ~ ( a2 @ SY155 @ SY158 )
| ~ ( likes @ SY156 @ SY157 @ SY158 ) )
| ( possibly_likes @ SY156 @ SY157 @ SY155 ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(139,plain,
( ( ! [SY112: $i,SY113: mu,SY114: mu] :
( ! [SY115: $i] :
( ~ ( a3 @ SY112 @ SY115 )
| ~ ( likes @ SY113 @ SY114 @ SY115 ) )
| ( possibly_likes @ SY113 @ SY114 @ SY112 ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(140,plain,
( ( ! [SY73: $i,SY74: $i] :
( ~ ( a2 @ SY73 @ SY74 )
| ( a2 @ SY74 @ SY73 ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(141,plain,
( ( ! [SY69: $i,SY70: $i] :
( ~ ( a3 @ SY69 @ SY70 )
| ( a3 @ SY70 @ SY69 ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(142,plain,
( ( ! [SY65: $i] : ( a2 @ SY65 @ ( sK3_SY66 @ SY65 ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(143,plain,
( ( ! [SY61: $i] : ( a3 @ SY61 @ ( sK2_SY62 @ SY61 ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(144,plain,
( ( ! [SY57: $i,SY58: $i] :
( ~ ( a2 @ SY57 @ SY58 )
| ( a3 @ SY57 @ SY58 ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(145,plain,
( ( ! [SY48: $i,SY49: $i,SY50: $i] :
( ~ ( a2 @ SY48 @ SY49 )
| ~ ( a2 @ SY49 @ SY50 )
| ( a2 @ SY48 @ SY50 ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(146,plain,
( ( ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ( a2 @ SY38 @ SY39 )
| ~ ( a3 @ SY39 @ SY40 )
| ( a3 @ SY38 @ SY40 ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(147,plain,
( ( ! [SY28: $i,SY29: $i,SY30: $i] :
( ~ ( a2 @ SY28 @ SY29 )
| ~ ( a2 @ SY29 @ SY30 )
| ( a2 @ SY28 @ SY30 ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(148,plain,
( ( ! [SY18: $i,SY19: $i,SY20: $i] :
( ~ ( a3 @ SY18 @ SY19 )
| ~ ( a3 @ SY19 @ SY20 )
| ( a3 @ SY18 @ SY20 ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(149,plain,
( ( ! [SY8: $i,SY9: $i,SY10: $i] :
( ~ ( a2 @ SY8 @ SY9 )
| ~ ( a2 @ SY8 @ SY10 )
| ( a2 @ SY9 @ SY10 ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(150,plain,
( ( ! [SY2: $i,SY3: $i,SY4: $i] :
( ~ ( a3 @ SY2 @ SY3 )
| ~ ( a3 @ SY2 @ SY4 )
| ( a3 @ SY3 @ SY4 ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(151,plain,
( ( ~ ( possibly_likes @ piotr @ beer @ sK1_SY0 ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(152,plain,
( ( ! [SX0: $i] :
~ ( ~ ( a1 @ SX0 @ ( sK7_SY568 @ SX0 ) )
| ~ ( likes @ piotr @ beer @ ( sK7_SY568 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114,cond4s,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,subrel]) ).
thf(153,plain,
( ( ! [SX0: $i] :
~ ( ~ ( a3 @ SX0 @ ( sK6_SY526 @ SX0 ) )
| ~ ( likes @ piotr @ pepsi @ ( sK6_SY526 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118,cond4s,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,subrel]) ).
thf(154,plain,
( ( ! [SX0: $i,SX1: mu,SX2: mu] :
( ~ ( ~ ( a3 @ SX0 @ ( sK4_SY238 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( very_much_likes @ SX1 @ SX2 @ ( sK4_SY238 @ SX2 @ SX1 @ SX0 ) ) )
| ( very_much_likes @ SX1 @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136,cond4s,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,subrel]) ).
thf(155,plain,
! [SV1: $i] :
( ( ! [SY580: $i] :
( ~ ( a1 @ SV1 @ SY580 )
| ( likes @ piotr @ beer @ SY580 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(156,plain,
! [SV2: $i] :
( ( ! [SY581: $i] :
( ~ ( a1 @ SV2 @ SY581 )
| ( likes @ jan @ cola @ SY581 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(157,plain,
! [SV3: $i] :
( ( ! [SY582: $i] :
( ~ ( a1 @ SV3 @ SY582 )
| ( likes @ piotr @ pepsi @ SY582 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(158,plain,
! [SV4: $i] :
( ( ! [SY583: $i] :
( ~ ( a1 @ SV4 @ SY583 )
| ( likes @ piotr @ cola @ SY583 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(159,plain,
! [SV5: $i] :
( ( ! [SY584: mu,SY585: mu] :
( ! [SY586: $i] :
( ~ ( a1 @ SV5 @ SY586 )
| ~ ( likes @ SY584 @ SY585 @ SY586 ) )
| ( possibly_likes @ SY584 @ SY585 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(160,plain,
! [SV6: $i] :
( ( ! [SY587: $i] :
( ~ ( a1 @ SV6 @ SY587 )
| ( a1 @ SY587 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(161,plain,
! [SV7: $i] :
( ( a1 @ SV7 @ ( sK5_SY464 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(162,plain,
! [SV8: $i] :
( ( ! [SY588: $i] :
( ~ ( a1 @ SV8 @ SY588 )
| ( a2 @ SV8 @ SY588 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(163,plain,
! [SV9: $i] :
( ( ! [SY589: $i] :
( ~ ( a1 @ SV9 @ SY589 )
| ( a3 @ SV9 @ SY589 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(164,plain,
! [SV10: $i] :
( ( ! [SY590: $i,SY591: $i] :
( ~ ( a1 @ SV10 @ SY590 )
| ~ ( a1 @ SY590 @ SY591 )
| ( a1 @ SV10 @ SY591 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(165,plain,
! [SV11: $i] :
( ( ! [SY592: $i,SY593: $i] :
( ~ ( a1 @ SV11 @ SY592 )
| ~ ( a2 @ SY592 @ SY593 )
| ( a2 @ SV11 @ SY593 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(166,plain,
! [SV12: $i] :
( ( ! [SY594: $i,SY595: $i] :
( ~ ( a1 @ SV12 @ SY594 )
| ~ ( a3 @ SY594 @ SY595 )
| ( a3 @ SV12 @ SY595 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(167,plain,
! [SV13: $i] :
( ( ! [SY596: $i,SY597: $i] :
( ~ ( a1 @ SY596 @ SY597 )
| ~ ( a2 @ SV13 @ SY596 )
| ( a1 @ SV13 @ SY597 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(168,plain,
! [SV14: $i] :
( ( ! [SY598: $i,SY599: $i] :
( ~ ( a1 @ SV14 @ SY598 )
| ~ ( a1 @ SY598 @ SY599 )
| ( a1 @ SV14 @ SY599 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(169,plain,
! [SV15: $i] :
( ( ! [SY600: $i,SY601: $i] :
( ~ ( a1 @ SV15 @ SY600 )
| ~ ( a1 @ SV15 @ SY601 )
| ( a1 @ SY600 @ SY601 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(170,plain,
! [SV16: $i] :
( ( ! [SY602: mu,SY603: $i] :
( ~ ( a1 @ SV16 @ SY603 )
| ! [SY382: $i] :
( ~ ( a1 @ SY603 @ SY382 )
| ~ ( likes @ SY602 @ pepsi @ SY382 ) )
| ( likes @ SY602 @ cola @ SY603 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(171,plain,
! [SV17: $i] :
( ( ! [SY605: mu,SY606: $i] :
( ~ ( a1 @ SV17 @ SY606 )
| ! [SY339: $i] :
( ~ ( a1 @ SY606 @ SY339 )
| ~ ( likes @ SY605 @ cola @ SY339 ) )
| ( likes @ SY605 @ pepsi @ SY606 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(172,plain,
! [SV18: $i] :
( ( ! [SY608: $i] :
( ~ ( a2 @ SV18 @ SY608 )
| ( likes @ jan @ pepsi @ SY608 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(173,plain,
! [SV19: $i] :
( ( ! [SY609: mu,SY610: $i] :
( ~ ( a2 @ SV19 @ SY610 )
| ~ ( likes @ SY609 @ pepsi @ SY610 )
| ( likes @ SY609 @ cola @ SY610 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(174,plain,
! [SV20: $i] :
( ( ! [SY611: mu,SY612: $i] :
( ~ ( a2 @ SV20 @ SY612 )
| ~ ( likes @ SY611 @ cola @ SY612 )
| ( likes @ SY611 @ pepsi @ SY612 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(175,plain,
! [SV21: $i] :
( ( ! [SY613: $i] :
( ~ ( a3 @ SV21 @ SY613 )
| ( likes @ jan @ cola @ SY613 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(176,plain,
! [SV22: $i] :
( ( ! [SY614: mu,SY615: mu] :
( ! [SY616: $i] :
( ~ ( a3 @ SV22 @ SY616 )
| ~ ( very_much_likes @ SY614 @ SY615 @ SY616 ) )
| ( likes @ SY614 @ SY615 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(177,plain,
! [SV23: $i] :
( ( ! [SY617: mu,SY618: mu] :
( ! [SY619: $i] :
( ~ ( a2 @ SV23 @ SY619 )
| ~ ( likes @ SY617 @ SY618 @ SY619 ) )
| ( possibly_likes @ SY617 @ SY618 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(178,plain,
! [SV24: $i] :
( ( ! [SY620: mu,SY621: mu] :
( ! [SY622: $i] :
( ~ ( a3 @ SV24 @ SY622 )
| ~ ( likes @ SY620 @ SY621 @ SY622 ) )
| ( possibly_likes @ SY620 @ SY621 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(179,plain,
! [SV25: $i] :
( ( ! [SY623: $i] :
( ~ ( a2 @ SV25 @ SY623 )
| ( a2 @ SY623 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(180,plain,
! [SV26: $i] :
( ( ! [SY624: $i] :
( ~ ( a3 @ SV26 @ SY624 )
| ( a3 @ SY624 @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(181,plain,
! [SV27: $i] :
( ( a2 @ SV27 @ ( sK3_SY66 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(182,plain,
! [SV28: $i] :
( ( a3 @ SV28 @ ( sK2_SY62 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(183,plain,
! [SV29: $i] :
( ( ! [SY625: $i] :
( ~ ( a2 @ SV29 @ SY625 )
| ( a3 @ SV29 @ SY625 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(184,plain,
! [SV30: $i] :
( ( ! [SY626: $i,SY627: $i] :
( ~ ( a2 @ SV30 @ SY626 )
| ~ ( a2 @ SY626 @ SY627 )
| ( a2 @ SV30 @ SY627 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(185,plain,
! [SV31: $i] :
( ( ! [SY628: $i,SY629: $i] :
( ~ ( a2 @ SV31 @ SY628 )
| ~ ( a3 @ SY628 @ SY629 )
| ( a3 @ SV31 @ SY629 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(186,plain,
! [SV32: $i] :
( ( ! [SY630: $i,SY631: $i] :
( ~ ( a2 @ SV32 @ SY630 )
| ~ ( a2 @ SY630 @ SY631 )
| ( a2 @ SV32 @ SY631 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(187,plain,
! [SV33: $i] :
( ( ! [SY632: $i,SY633: $i] :
( ~ ( a3 @ SV33 @ SY632 )
| ~ ( a3 @ SY632 @ SY633 )
| ( a3 @ SV33 @ SY633 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(188,plain,
! [SV34: $i] :
( ( ! [SY634: $i,SY635: $i] :
( ~ ( a2 @ SV34 @ SY634 )
| ~ ( a2 @ SV34 @ SY635 )
| ( a2 @ SY634 @ SY635 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(189,plain,
! [SV35: $i] :
( ( ! [SY636: $i,SY637: $i] :
( ~ ( a3 @ SV35 @ SY636 )
| ~ ( a3 @ SV35 @ SY637 )
| ( a3 @ SY636 @ SY637 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(190,plain,
( ( possibly_likes @ piotr @ beer @ sK1_SY0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(191,plain,
! [SV36: $i] :
( ( ~ ( ~ ( a1 @ SV36 @ ( sK7_SY568 @ SV36 ) )
| ~ ( likes @ piotr @ beer @ ( sK7_SY568 @ SV36 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(192,plain,
! [SV37: $i] :
( ( ~ ( ~ ( a3 @ SV37 @ ( sK6_SY526 @ SV37 ) )
| ~ ( likes @ piotr @ pepsi @ ( sK6_SY526 @ SV37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(193,plain,
! [SV38: $i] :
( ( ! [SY638: mu,SY639: mu] :
( ~ ( ~ ( a3 @ SV38 @ ( sK4_SY238 @ SY639 @ SY638 @ SV38 ) )
| ~ ~ ( very_much_likes @ SY638 @ SY639 @ ( sK4_SY238 @ SY639 @ SY638 @ SV38 ) ) )
| ( very_much_likes @ SY638 @ SY639 @ SV38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(194,plain,
! [SV39: $i,SV1: $i] :
( ( ~ ( a1 @ SV1 @ SV39 )
| ( likes @ piotr @ beer @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(195,plain,
! [SV40: $i,SV2: $i] :
( ( ~ ( a1 @ SV2 @ SV40 )
| ( likes @ jan @ cola @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(196,plain,
! [SV41: $i,SV3: $i] :
( ( ~ ( a1 @ SV3 @ SV41 )
| ( likes @ piotr @ pepsi @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(197,plain,
! [SV42: $i,SV4: $i] :
( ( ~ ( a1 @ SV4 @ SV42 )
| ( likes @ piotr @ cola @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(198,plain,
! [SV43: mu,SV5: $i] :
( ( ! [SY640: mu] :
( ! [SY641: $i] :
( ~ ( a1 @ SV5 @ SY641 )
| ~ ( likes @ SV43 @ SY640 @ SY641 ) )
| ( possibly_likes @ SV43 @ SY640 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(199,plain,
! [SV44: $i,SV6: $i] :
( ( ~ ( a1 @ SV6 @ SV44 )
| ( a1 @ SV44 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(200,plain,
! [SV45: $i,SV8: $i] :
( ( ~ ( a1 @ SV8 @ SV45 )
| ( a2 @ SV8 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(201,plain,
! [SV46: $i,SV9: $i] :
( ( ~ ( a1 @ SV9 @ SV46 )
| ( a3 @ SV9 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(202,plain,
! [SV47: $i,SV10: $i] :
( ( ! [SY642: $i] :
( ~ ( a1 @ SV10 @ SV47 )
| ~ ( a1 @ SV47 @ SY642 )
| ( a1 @ SV10 @ SY642 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(203,plain,
! [SV48: $i,SV11: $i] :
( ( ! [SY643: $i] :
( ~ ( a1 @ SV11 @ SV48 )
| ~ ( a2 @ SV48 @ SY643 )
| ( a2 @ SV11 @ SY643 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(204,plain,
! [SV49: $i,SV12: $i] :
( ( ! [SY644: $i] :
( ~ ( a1 @ SV12 @ SV49 )
| ~ ( a3 @ SV49 @ SY644 )
| ( a3 @ SV12 @ SY644 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(205,plain,
! [SV13: $i,SV50: $i] :
( ( ! [SY645: $i] :
( ~ ( a1 @ SV50 @ SY645 )
| ~ ( a2 @ SV13 @ SV50 )
| ( a1 @ SV13 @ SY645 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(206,plain,
! [SV51: $i,SV14: $i] :
( ( ! [SY646: $i] :
( ~ ( a1 @ SV14 @ SV51 )
| ~ ( a1 @ SV51 @ SY646 )
| ( a1 @ SV14 @ SY646 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(207,plain,
! [SV52: $i,SV15: $i] :
( ( ! [SY647: $i] :
( ~ ( a1 @ SV15 @ SV52 )
| ~ ( a1 @ SV15 @ SY647 )
| ( a1 @ SV52 @ SY647 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(208,plain,
! [SV53: mu,SV16: $i] :
( ( ! [SY648: $i] :
( ~ ( a1 @ SV16 @ SY648 )
| ! [SY649: $i] :
( ~ ( a1 @ SY648 @ SY649 )
| ~ ( likes @ SV53 @ pepsi @ SY649 ) )
| ( likes @ SV53 @ cola @ SY648 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(209,plain,
! [SV54: mu,SV17: $i] :
( ( ! [SY650: $i] :
( ~ ( a1 @ SV17 @ SY650 )
| ! [SY651: $i] :
( ~ ( a1 @ SY650 @ SY651 )
| ~ ( likes @ SV54 @ cola @ SY651 ) )
| ( likes @ SV54 @ pepsi @ SY650 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(210,plain,
! [SV55: $i,SV18: $i] :
( ( ~ ( a2 @ SV18 @ SV55 )
| ( likes @ jan @ pepsi @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(211,plain,
! [SV56: mu,SV19: $i] :
( ( ! [SY652: $i] :
( ~ ( a2 @ SV19 @ SY652 )
| ~ ( likes @ SV56 @ pepsi @ SY652 )
| ( likes @ SV56 @ cola @ SY652 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(212,plain,
! [SV57: mu,SV20: $i] :
( ( ! [SY653: $i] :
( ~ ( a2 @ SV20 @ SY653 )
| ~ ( likes @ SV57 @ cola @ SY653 )
| ( likes @ SV57 @ pepsi @ SY653 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(213,plain,
! [SV58: $i,SV21: $i] :
( ( ~ ( a3 @ SV21 @ SV58 )
| ( likes @ jan @ cola @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(214,plain,
! [SV59: mu,SV22: $i] :
( ( ! [SY654: mu] :
( ! [SY655: $i] :
( ~ ( a3 @ SV22 @ SY655 )
| ~ ( very_much_likes @ SV59 @ SY654 @ SY655 ) )
| ( likes @ SV59 @ SY654 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(215,plain,
! [SV60: mu,SV23: $i] :
( ( ! [SY656: mu] :
( ! [SY657: $i] :
( ~ ( a2 @ SV23 @ SY657 )
| ~ ( likes @ SV60 @ SY656 @ SY657 ) )
| ( possibly_likes @ SV60 @ SY656 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(216,plain,
! [SV61: mu,SV24: $i] :
( ( ! [SY658: mu] :
( ! [SY659: $i] :
( ~ ( a3 @ SV24 @ SY659 )
| ~ ( likes @ SV61 @ SY658 @ SY659 ) )
| ( possibly_likes @ SV61 @ SY658 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(217,plain,
! [SV62: $i,SV25: $i] :
( ( ~ ( a2 @ SV25 @ SV62 )
| ( a2 @ SV62 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(218,plain,
! [SV63: $i,SV26: $i] :
( ( ~ ( a3 @ SV26 @ SV63 )
| ( a3 @ SV63 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(219,plain,
! [SV64: $i,SV29: $i] :
( ( ~ ( a2 @ SV29 @ SV64 )
| ( a3 @ SV29 @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(220,plain,
! [SV65: $i,SV30: $i] :
( ( ! [SY660: $i] :
( ~ ( a2 @ SV30 @ SV65 )
| ~ ( a2 @ SV65 @ SY660 )
| ( a2 @ SV30 @ SY660 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(221,plain,
! [SV66: $i,SV31: $i] :
( ( ! [SY661: $i] :
( ~ ( a2 @ SV31 @ SV66 )
| ~ ( a3 @ SV66 @ SY661 )
| ( a3 @ SV31 @ SY661 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(222,plain,
! [SV67: $i,SV32: $i] :
( ( ! [SY662: $i] :
( ~ ( a2 @ SV32 @ SV67 )
| ~ ( a2 @ SV67 @ SY662 )
| ( a2 @ SV32 @ SY662 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(223,plain,
! [SV68: $i,SV33: $i] :
( ( ! [SY663: $i] :
( ~ ( a3 @ SV33 @ SV68 )
| ~ ( a3 @ SV68 @ SY663 )
| ( a3 @ SV33 @ SY663 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(224,plain,
! [SV69: $i,SV34: $i] :
( ( ! [SY664: $i] :
( ~ ( a2 @ SV34 @ SV69 )
| ~ ( a2 @ SV34 @ SY664 )
| ( a2 @ SV69 @ SY664 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(225,plain,
! [SV70: $i,SV35: $i] :
( ( ! [SY665: $i] :
( ~ ( a3 @ SV35 @ SV70 )
| ~ ( a3 @ SV35 @ SY665 )
| ( a3 @ SV70 @ SY665 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(226,plain,
! [SV36: $i] :
( ( ~ ( a1 @ SV36 @ ( sK7_SY568 @ SV36 ) )
| ~ ( likes @ piotr @ beer @ ( sK7_SY568 @ SV36 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(227,plain,
! [SV37: $i] :
( ( ~ ( a3 @ SV37 @ ( sK6_SY526 @ SV37 ) )
| ~ ( likes @ piotr @ pepsi @ ( sK6_SY526 @ SV37 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(228,plain,
! [SV71: mu,SV38: $i] :
( ( ! [SY666: mu] :
( ~ ( ~ ( a3 @ SV38 @ ( sK4_SY238 @ SY666 @ SV71 @ SV38 ) )
| ~ ~ ( very_much_likes @ SV71 @ SY666 @ ( sK4_SY238 @ SY666 @ SV71 @ SV38 ) ) )
| ( very_much_likes @ SV71 @ SY666 @ SV38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(229,plain,
! [SV39: $i,SV1: $i] :
( ( ( ~ ( a1 @ SV1 @ SV39 ) )
= $true )
| ( ( likes @ piotr @ beer @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(230,plain,
! [SV40: $i,SV2: $i] :
( ( ( ~ ( a1 @ SV2 @ SV40 ) )
= $true )
| ( ( likes @ jan @ cola @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(231,plain,
! [SV41: $i,SV3: $i] :
( ( ( ~ ( a1 @ SV3 @ SV41 ) )
= $true )
| ( ( likes @ piotr @ pepsi @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(232,plain,
! [SV42: $i,SV4: $i] :
( ( ( ~ ( a1 @ SV4 @ SV42 ) )
= $true )
| ( ( likes @ piotr @ cola @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(233,plain,
! [SV72: mu,SV43: mu,SV5: $i] :
( ( ! [SY667: $i] :
( ~ ( a1 @ SV5 @ SY667 )
| ~ ( likes @ SV43 @ SV72 @ SY667 ) )
| ( possibly_likes @ SV43 @ SV72 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(234,plain,
! [SV44: $i,SV6: $i] :
( ( ( ~ ( a1 @ SV6 @ SV44 ) )
= $true )
| ( ( a1 @ SV44 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(235,plain,
! [SV45: $i,SV8: $i] :
( ( ( ~ ( a1 @ SV8 @ SV45 ) )
= $true )
| ( ( a2 @ SV8 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(236,plain,
! [SV46: $i,SV9: $i] :
( ( ( ~ ( a1 @ SV9 @ SV46 ) )
= $true )
| ( ( a3 @ SV9 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(237,plain,
! [SV73: $i,SV47: $i,SV10: $i] :
( ( ~ ( a1 @ SV10 @ SV47 )
| ~ ( a1 @ SV47 @ SV73 )
| ( a1 @ SV10 @ SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(238,plain,
! [SV74: $i,SV48: $i,SV11: $i] :
( ( ~ ( a1 @ SV11 @ SV48 )
| ~ ( a2 @ SV48 @ SV74 )
| ( a2 @ SV11 @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(239,plain,
! [SV75: $i,SV49: $i,SV12: $i] :
( ( ~ ( a1 @ SV12 @ SV49 )
| ~ ( a3 @ SV49 @ SV75 )
| ( a3 @ SV12 @ SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(240,plain,
! [SV13: $i,SV76: $i,SV50: $i] :
( ( ~ ( a1 @ SV50 @ SV76 )
| ~ ( a2 @ SV13 @ SV50 )
| ( a1 @ SV13 @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(241,plain,
! [SV77: $i,SV51: $i,SV14: $i] :
( ( ~ ( a1 @ SV14 @ SV51 )
| ~ ( a1 @ SV51 @ SV77 )
| ( a1 @ SV14 @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(242,plain,
! [SV78: $i,SV52: $i,SV15: $i] :
( ( ~ ( a1 @ SV15 @ SV52 )
| ~ ( a1 @ SV15 @ SV78 )
| ( a1 @ SV52 @ SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(243,plain,
! [SV53: mu,SV79: $i,SV16: $i] :
( ( ~ ( a1 @ SV16 @ SV79 )
| ! [SY668: $i] :
( ~ ( a1 @ SV79 @ SY668 )
| ~ ( likes @ SV53 @ pepsi @ SY668 ) )
| ( likes @ SV53 @ cola @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(244,plain,
! [SV54: mu,SV80: $i,SV17: $i] :
( ( ~ ( a1 @ SV17 @ SV80 )
| ! [SY669: $i] :
( ~ ( a1 @ SV80 @ SY669 )
| ~ ( likes @ SV54 @ cola @ SY669 ) )
| ( likes @ SV54 @ pepsi @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(245,plain,
! [SV55: $i,SV18: $i] :
( ( ( ~ ( a2 @ SV18 @ SV55 ) )
= $true )
| ( ( likes @ jan @ pepsi @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(246,plain,
! [SV56: mu,SV81: $i,SV19: $i] :
( ( ~ ( a2 @ SV19 @ SV81 )
| ~ ( likes @ SV56 @ pepsi @ SV81 )
| ( likes @ SV56 @ cola @ SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(247,plain,
! [SV57: mu,SV82: $i,SV20: $i] :
( ( ~ ( a2 @ SV20 @ SV82 )
| ~ ( likes @ SV57 @ cola @ SV82 )
| ( likes @ SV57 @ pepsi @ SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(248,plain,
! [SV58: $i,SV21: $i] :
( ( ( ~ ( a3 @ SV21 @ SV58 ) )
= $true )
| ( ( likes @ jan @ cola @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(249,plain,
! [SV83: mu,SV59: mu,SV22: $i] :
( ( ! [SY670: $i] :
( ~ ( a3 @ SV22 @ SY670 )
| ~ ( very_much_likes @ SV59 @ SV83 @ SY670 ) )
| ( likes @ SV59 @ SV83 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(250,plain,
! [SV84: mu,SV60: mu,SV23: $i] :
( ( ! [SY671: $i] :
( ~ ( a2 @ SV23 @ SY671 )
| ~ ( likes @ SV60 @ SV84 @ SY671 ) )
| ( possibly_likes @ SV60 @ SV84 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(251,plain,
! [SV85: mu,SV61: mu,SV24: $i] :
( ( ! [SY672: $i] :
( ~ ( a3 @ SV24 @ SY672 )
| ~ ( likes @ SV61 @ SV85 @ SY672 ) )
| ( possibly_likes @ SV61 @ SV85 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(252,plain,
! [SV62: $i,SV25: $i] :
( ( ( ~ ( a2 @ SV25 @ SV62 ) )
= $true )
| ( ( a2 @ SV62 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(253,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ( a3 @ SV26 @ SV63 ) )
= $true )
| ( ( a3 @ SV63 @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(254,plain,
! [SV64: $i,SV29: $i] :
( ( ( ~ ( a2 @ SV29 @ SV64 ) )
= $true )
| ( ( a3 @ SV29 @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(255,plain,
! [SV86: $i,SV65: $i,SV30: $i] :
( ( ~ ( a2 @ SV30 @ SV65 )
| ~ ( a2 @ SV65 @ SV86 )
| ( a2 @ SV30 @ SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(256,plain,
! [SV87: $i,SV66: $i,SV31: $i] :
( ( ~ ( a2 @ SV31 @ SV66 )
| ~ ( a3 @ SV66 @ SV87 )
| ( a3 @ SV31 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(257,plain,
! [SV88: $i,SV67: $i,SV32: $i] :
( ( ~ ( a2 @ SV32 @ SV67 )
| ~ ( a2 @ SV67 @ SV88 )
| ( a2 @ SV32 @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(258,plain,
! [SV89: $i,SV68: $i,SV33: $i] :
( ( ~ ( a3 @ SV33 @ SV68 )
| ~ ( a3 @ SV68 @ SV89 )
| ( a3 @ SV33 @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(259,plain,
! [SV90: $i,SV69: $i,SV34: $i] :
( ( ~ ( a2 @ SV34 @ SV69 )
| ~ ( a2 @ SV34 @ SV90 )
| ( a2 @ SV69 @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(260,plain,
! [SV91: $i,SV70: $i,SV35: $i] :
( ( ~ ( a3 @ SV35 @ SV70 )
| ~ ( a3 @ SV35 @ SV91 )
| ( a3 @ SV70 @ SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(261,plain,
! [SV36: $i] :
( ( ~ ( a1 @ SV36 @ ( sK7_SY568 @ SV36 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(262,plain,
! [SV36: $i] :
( ( ~ ( likes @ piotr @ beer @ ( sK7_SY568 @ SV36 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(263,plain,
! [SV37: $i] :
( ( ~ ( a3 @ SV37 @ ( sK6_SY526 @ SV37 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(264,plain,
! [SV37: $i] :
( ( ~ ( likes @ piotr @ pepsi @ ( sK6_SY526 @ SV37 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(265,plain,
! [SV71: mu,SV92: mu,SV38: $i] :
( ( ~ ( ~ ( a3 @ SV38 @ ( sK4_SY238 @ SV92 @ SV71 @ SV38 ) )
| ~ ~ ( very_much_likes @ SV71 @ SV92 @ ( sK4_SY238 @ SV92 @ SV71 @ SV38 ) ) )
| ( very_much_likes @ SV71 @ SV92 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(266,plain,
! [SV39: $i,SV1: $i] :
( ( ( a1 @ SV1 @ SV39 )
= $false )
| ( ( likes @ piotr @ beer @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(267,plain,
! [SV40: $i,SV2: $i] :
( ( ( a1 @ SV2 @ SV40 )
= $false )
| ( ( likes @ jan @ cola @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(268,plain,
! [SV41: $i,SV3: $i] :
( ( ( a1 @ SV3 @ SV41 )
= $false )
| ( ( likes @ piotr @ pepsi @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(269,plain,
! [SV42: $i,SV4: $i] :
( ( ( a1 @ SV4 @ SV42 )
= $false )
| ( ( likes @ piotr @ cola @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(270,plain,
! [SV72: mu,SV43: mu,SV5: $i] :
( ( ( ! [SY667: $i] :
( ~ ( a1 @ SV5 @ SY667 )
| ~ ( likes @ SV43 @ SV72 @ SY667 ) ) )
= $true )
| ( ( possibly_likes @ SV43 @ SV72 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(271,plain,
! [SV44: $i,SV6: $i] :
( ( ( a1 @ SV6 @ SV44 )
= $false )
| ( ( a1 @ SV44 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(272,plain,
! [SV45: $i,SV8: $i] :
( ( ( a1 @ SV8 @ SV45 )
= $false )
| ( ( a2 @ SV8 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(273,plain,
! [SV46: $i,SV9: $i] :
( ( ( a1 @ SV9 @ SV46 )
= $false )
| ( ( a3 @ SV9 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(274,plain,
! [SV73: $i,SV47: $i,SV10: $i] :
( ( ( ~ ( a1 @ SV10 @ SV47 )
| ~ ( a1 @ SV47 @ SV73 ) )
= $true )
| ( ( a1 @ SV10 @ SV73 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(275,plain,
! [SV74: $i,SV48: $i,SV11: $i] :
( ( ( ~ ( a1 @ SV11 @ SV48 )
| ~ ( a2 @ SV48 @ SV74 ) )
= $true )
| ( ( a2 @ SV11 @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(276,plain,
! [SV75: $i,SV49: $i,SV12: $i] :
( ( ( ~ ( a1 @ SV12 @ SV49 )
| ~ ( a3 @ SV49 @ SV75 ) )
= $true )
| ( ( a3 @ SV12 @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(277,plain,
! [SV13: $i,SV76: $i,SV50: $i] :
( ( ( ~ ( a1 @ SV50 @ SV76 )
| ~ ( a2 @ SV13 @ SV50 ) )
= $true )
| ( ( a1 @ SV13 @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(278,plain,
! [SV77: $i,SV51: $i,SV14: $i] :
( ( ( ~ ( a1 @ SV14 @ SV51 )
| ~ ( a1 @ SV51 @ SV77 ) )
= $true )
| ( ( a1 @ SV14 @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(279,plain,
! [SV78: $i,SV52: $i,SV15: $i] :
( ( ( ~ ( a1 @ SV15 @ SV52 )
| ~ ( a1 @ SV15 @ SV78 ) )
= $true )
| ( ( a1 @ SV52 @ SV78 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(280,plain,
! [SV53: mu,SV79: $i,SV16: $i] :
( ( ( ~ ( a1 @ SV16 @ SV79 ) )
= $true )
| ( ( ! [SY668: $i] :
( ~ ( a1 @ SV79 @ SY668 )
| ~ ( likes @ SV53 @ pepsi @ SY668 ) )
| ( likes @ SV53 @ cola @ SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(281,plain,
! [SV54: mu,SV80: $i,SV17: $i] :
( ( ( ~ ( a1 @ SV17 @ SV80 ) )
= $true )
| ( ( ! [SY669: $i] :
( ~ ( a1 @ SV80 @ SY669 )
| ~ ( likes @ SV54 @ cola @ SY669 ) )
| ( likes @ SV54 @ pepsi @ SV80 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(282,plain,
! [SV55: $i,SV18: $i] :
( ( ( a2 @ SV18 @ SV55 )
= $false )
| ( ( likes @ jan @ pepsi @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(283,plain,
! [SV56: mu,SV81: $i,SV19: $i] :
( ( ( ~ ( a2 @ SV19 @ SV81 ) )
= $true )
| ( ( ~ ( likes @ SV56 @ pepsi @ SV81 )
| ( likes @ SV56 @ cola @ SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(284,plain,
! [SV57: mu,SV82: $i,SV20: $i] :
( ( ( ~ ( a2 @ SV20 @ SV82 ) )
= $true )
| ( ( ~ ( likes @ SV57 @ cola @ SV82 )
| ( likes @ SV57 @ pepsi @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(285,plain,
! [SV58: $i,SV21: $i] :
( ( ( a3 @ SV21 @ SV58 )
= $false )
| ( ( likes @ jan @ cola @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(286,plain,
! [SV83: mu,SV59: mu,SV22: $i] :
( ( ( ! [SY670: $i] :
( ~ ( a3 @ SV22 @ SY670 )
| ~ ( very_much_likes @ SV59 @ SV83 @ SY670 ) ) )
= $true )
| ( ( likes @ SV59 @ SV83 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(287,plain,
! [SV84: mu,SV60: mu,SV23: $i] :
( ( ( ! [SY671: $i] :
( ~ ( a2 @ SV23 @ SY671 )
| ~ ( likes @ SV60 @ SV84 @ SY671 ) ) )
= $true )
| ( ( possibly_likes @ SV60 @ SV84 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(288,plain,
! [SV85: mu,SV61: mu,SV24: $i] :
( ( ( ! [SY672: $i] :
( ~ ( a3 @ SV24 @ SY672 )
| ~ ( likes @ SV61 @ SV85 @ SY672 ) ) )
= $true )
| ( ( possibly_likes @ SV61 @ SV85 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(289,plain,
! [SV62: $i,SV25: $i] :
( ( ( a2 @ SV25 @ SV62 )
= $false )
| ( ( a2 @ SV62 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(290,plain,
! [SV63: $i,SV26: $i] :
( ( ( a3 @ SV26 @ SV63 )
= $false )
| ( ( a3 @ SV63 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(291,plain,
! [SV64: $i,SV29: $i] :
( ( ( a2 @ SV29 @ SV64 )
= $false )
| ( ( a3 @ SV29 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(292,plain,
! [SV86: $i,SV65: $i,SV30: $i] :
( ( ( ~ ( a2 @ SV30 @ SV65 )
| ~ ( a2 @ SV65 @ SV86 ) )
= $true )
| ( ( a2 @ SV30 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(293,plain,
! [SV87: $i,SV66: $i,SV31: $i] :
( ( ( ~ ( a2 @ SV31 @ SV66 )
| ~ ( a3 @ SV66 @ SV87 ) )
= $true )
| ( ( a3 @ SV31 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(294,plain,
! [SV88: $i,SV67: $i,SV32: $i] :
( ( ( ~ ( a2 @ SV32 @ SV67 )
| ~ ( a2 @ SV67 @ SV88 ) )
= $true )
| ( ( a2 @ SV32 @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(295,plain,
! [SV89: $i,SV68: $i,SV33: $i] :
( ( ( ~ ( a3 @ SV33 @ SV68 )
| ~ ( a3 @ SV68 @ SV89 ) )
= $true )
| ( ( a3 @ SV33 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(296,plain,
! [SV90: $i,SV69: $i,SV34: $i] :
( ( ( ~ ( a2 @ SV34 @ SV69 )
| ~ ( a2 @ SV34 @ SV90 ) )
= $true )
| ( ( a2 @ SV69 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(297,plain,
! [SV91: $i,SV70: $i,SV35: $i] :
( ( ( ~ ( a3 @ SV35 @ SV70 )
| ~ ( a3 @ SV35 @ SV91 ) )
= $true )
| ( ( a3 @ SV70 @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(298,plain,
! [SV36: $i] :
( ( a1 @ SV36 @ ( sK7_SY568 @ SV36 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(299,plain,
! [SV36: $i] :
( ( likes @ piotr @ beer @ ( sK7_SY568 @ SV36 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(300,plain,
! [SV37: $i] :
( ( a3 @ SV37 @ ( sK6_SY526 @ SV37 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[263]) ).
thf(301,plain,
! [SV37: $i] :
( ( likes @ piotr @ pepsi @ ( sK6_SY526 @ SV37 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[264]) ).
thf(302,plain,
! [SV71: mu,SV92: mu,SV38: $i] :
( ( ( ~ ( ~ ( a3 @ SV38 @ ( sK4_SY238 @ SV92 @ SV71 @ SV38 ) )
| ~ ~ ( very_much_likes @ SV71 @ SV92 @ ( sK4_SY238 @ SV92 @ SV71 @ SV38 ) ) ) )
= $true )
| ( ( very_much_likes @ SV71 @ SV92 @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(303,plain,
! [SV72: mu,SV43: mu,SV93: $i,SV5: $i] :
( ( ( ~ ( a1 @ SV5 @ SV93 )
| ~ ( likes @ SV43 @ SV72 @ SV93 ) )
= $true )
| ( ( possibly_likes @ SV43 @ SV72 @ SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(304,plain,
! [SV73: $i,SV47: $i,SV10: $i] :
( ( ( ~ ( a1 @ SV10 @ SV47 ) )
= $true )
| ( ( ~ ( a1 @ SV47 @ SV73 ) )
= $true )
| ( ( a1 @ SV10 @ SV73 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(305,plain,
! [SV74: $i,SV48: $i,SV11: $i] :
( ( ( ~ ( a1 @ SV11 @ SV48 ) )
= $true )
| ( ( ~ ( a2 @ SV48 @ SV74 ) )
= $true )
| ( ( a2 @ SV11 @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(306,plain,
! [SV75: $i,SV49: $i,SV12: $i] :
( ( ( ~ ( a1 @ SV12 @ SV49 ) )
= $true )
| ( ( ~ ( a3 @ SV49 @ SV75 ) )
= $true )
| ( ( a3 @ SV12 @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(307,plain,
! [SV13: $i,SV76: $i,SV50: $i] :
( ( ( ~ ( a1 @ SV50 @ SV76 ) )
= $true )
| ( ( ~ ( a2 @ SV13 @ SV50 ) )
= $true )
| ( ( a1 @ SV13 @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(308,plain,
! [SV77: $i,SV51: $i,SV14: $i] :
( ( ( ~ ( a1 @ SV14 @ SV51 ) )
= $true )
| ( ( ~ ( a1 @ SV51 @ SV77 ) )
= $true )
| ( ( a1 @ SV14 @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(309,plain,
! [SV78: $i,SV52: $i,SV15: $i] :
( ( ( ~ ( a1 @ SV15 @ SV52 ) )
= $true )
| ( ( ~ ( a1 @ SV15 @ SV78 ) )
= $true )
| ( ( a1 @ SV52 @ SV78 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(310,plain,
! [SV53: mu,SV79: $i,SV16: $i] :
( ( ( a1 @ SV16 @ SV79 )
= $false )
| ( ( ! [SY668: $i] :
( ~ ( a1 @ SV79 @ SY668 )
| ~ ( likes @ SV53 @ pepsi @ SY668 ) )
| ( likes @ SV53 @ cola @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(311,plain,
! [SV54: mu,SV80: $i,SV17: $i] :
( ( ( a1 @ SV17 @ SV80 )
= $false )
| ( ( ! [SY669: $i] :
( ~ ( a1 @ SV80 @ SY669 )
| ~ ( likes @ SV54 @ cola @ SY669 ) )
| ( likes @ SV54 @ pepsi @ SV80 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(312,plain,
! [SV56: mu,SV81: $i,SV19: $i] :
( ( ( a2 @ SV19 @ SV81 )
= $false )
| ( ( ~ ( likes @ SV56 @ pepsi @ SV81 )
| ( likes @ SV56 @ cola @ SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(313,plain,
! [SV57: mu,SV82: $i,SV20: $i] :
( ( ( a2 @ SV20 @ SV82 )
= $false )
| ( ( ~ ( likes @ SV57 @ cola @ SV82 )
| ( likes @ SV57 @ pepsi @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(314,plain,
! [SV83: mu,SV59: mu,SV94: $i,SV22: $i] :
( ( ( ~ ( a3 @ SV22 @ SV94 )
| ~ ( very_much_likes @ SV59 @ SV83 @ SV94 ) )
= $true )
| ( ( likes @ SV59 @ SV83 @ SV22 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(315,plain,
! [SV84: mu,SV60: mu,SV95: $i,SV23: $i] :
( ( ( ~ ( a2 @ SV23 @ SV95 )
| ~ ( likes @ SV60 @ SV84 @ SV95 ) )
= $true )
| ( ( possibly_likes @ SV60 @ SV84 @ SV23 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(316,plain,
! [SV85: mu,SV61: mu,SV96: $i,SV24: $i] :
( ( ( ~ ( a3 @ SV24 @ SV96 )
| ~ ( likes @ SV61 @ SV85 @ SV96 ) )
= $true )
| ( ( possibly_likes @ SV61 @ SV85 @ SV24 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(317,plain,
! [SV86: $i,SV65: $i,SV30: $i] :
( ( ( ~ ( a2 @ SV30 @ SV65 ) )
= $true )
| ( ( ~ ( a2 @ SV65 @ SV86 ) )
= $true )
| ( ( a2 @ SV30 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(318,plain,
! [SV87: $i,SV66: $i,SV31: $i] :
( ( ( ~ ( a2 @ SV31 @ SV66 ) )
= $true )
| ( ( ~ ( a3 @ SV66 @ SV87 ) )
= $true )
| ( ( a3 @ SV31 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(319,plain,
! [SV88: $i,SV67: $i,SV32: $i] :
( ( ( ~ ( a2 @ SV32 @ SV67 ) )
= $true )
| ( ( ~ ( a2 @ SV67 @ SV88 ) )
= $true )
| ( ( a2 @ SV32 @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(320,plain,
! [SV89: $i,SV68: $i,SV33: $i] :
( ( ( ~ ( a3 @ SV33 @ SV68 ) )
= $true )
| ( ( ~ ( a3 @ SV68 @ SV89 ) )
= $true )
| ( ( a3 @ SV33 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(321,plain,
! [SV90: $i,SV69: $i,SV34: $i] :
( ( ( ~ ( a2 @ SV34 @ SV69 ) )
= $true )
| ( ( ~ ( a2 @ SV34 @ SV90 ) )
= $true )
| ( ( a2 @ SV69 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(322,plain,
! [SV91: $i,SV70: $i,SV35: $i] :
( ( ( ~ ( a3 @ SV35 @ SV70 ) )
= $true )
| ( ( ~ ( a3 @ SV35 @ SV91 ) )
= $true )
| ( ( a3 @ SV70 @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(323,plain,
! [SV71: mu,SV92: mu,SV38: $i] :
( ( ( ~ ( a3 @ SV38 @ ( sK4_SY238 @ SV92 @ SV71 @ SV38 ) )
| ~ ~ ( very_much_likes @ SV71 @ SV92 @ ( sK4_SY238 @ SV92 @ SV71 @ SV38 ) ) )
= $false )
| ( ( very_much_likes @ SV71 @ SV92 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(324,plain,
! [SV72: mu,SV43: mu,SV93: $i,SV5: $i] :
( ( ( ~ ( a1 @ SV5 @ SV93 ) )
= $true )
| ( ( ~ ( likes @ SV43 @ SV72 @ SV93 ) )
= $true )
| ( ( possibly_likes @ SV43 @ SV72 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(325,plain,
! [SV73: $i,SV47: $i,SV10: $i] :
( ( ( a1 @ SV10 @ SV47 )
= $false )
| ( ( ~ ( a1 @ SV47 @ SV73 ) )
= $true )
| ( ( a1 @ SV10 @ SV73 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(326,plain,
! [SV74: $i,SV48: $i,SV11: $i] :
( ( ( a1 @ SV11 @ SV48 )
= $false )
| ( ( ~ ( a2 @ SV48 @ SV74 ) )
= $true )
| ( ( a2 @ SV11 @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(327,plain,
! [SV75: $i,SV49: $i,SV12: $i] :
( ( ( a1 @ SV12 @ SV49 )
= $false )
| ( ( ~ ( a3 @ SV49 @ SV75 ) )
= $true )
| ( ( a3 @ SV12 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(328,plain,
! [SV13: $i,SV76: $i,SV50: $i] :
( ( ( a1 @ SV50 @ SV76 )
= $false )
| ( ( ~ ( a2 @ SV13 @ SV50 ) )
= $true )
| ( ( a1 @ SV13 @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(329,plain,
! [SV77: $i,SV51: $i,SV14: $i] :
( ( ( a1 @ SV14 @ SV51 )
= $false )
| ( ( ~ ( a1 @ SV51 @ SV77 ) )
= $true )
| ( ( a1 @ SV14 @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(330,plain,
! [SV78: $i,SV52: $i,SV15: $i] :
( ( ( a1 @ SV15 @ SV52 )
= $false )
| ( ( ~ ( a1 @ SV15 @ SV78 ) )
= $true )
| ( ( a1 @ SV52 @ SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(331,plain,
! [SV16: $i,SV53: mu,SV79: $i] :
( ( ( ! [SY668: $i] :
( ~ ( a1 @ SV79 @ SY668 )
| ~ ( likes @ SV53 @ pepsi @ SY668 ) ) )
= $true )
| ( ( likes @ SV53 @ cola @ SV79 )
= $true )
| ( ( a1 @ SV16 @ SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(332,plain,
! [SV17: $i,SV54: mu,SV80: $i] :
( ( ( ! [SY669: $i] :
( ~ ( a1 @ SV80 @ SY669 )
| ~ ( likes @ SV54 @ cola @ SY669 ) ) )
= $true )
| ( ( likes @ SV54 @ pepsi @ SV80 )
= $true )
| ( ( a1 @ SV17 @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(333,plain,
! [SV19: $i,SV81: $i,SV56: mu] :
( ( ( ~ ( likes @ SV56 @ pepsi @ SV81 ) )
= $true )
| ( ( likes @ SV56 @ cola @ SV81 )
= $true )
| ( ( a2 @ SV19 @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(334,plain,
! [SV20: $i,SV82: $i,SV57: mu] :
( ( ( ~ ( likes @ SV57 @ cola @ SV82 ) )
= $true )
| ( ( likes @ SV57 @ pepsi @ SV82 )
= $true )
| ( ( a2 @ SV20 @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(335,plain,
! [SV83: mu,SV59: mu,SV94: $i,SV22: $i] :
( ( ( ~ ( a3 @ SV22 @ SV94 ) )
= $true )
| ( ( ~ ( very_much_likes @ SV59 @ SV83 @ SV94 ) )
= $true )
| ( ( likes @ SV59 @ SV83 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(336,plain,
! [SV84: mu,SV60: mu,SV95: $i,SV23: $i] :
( ( ( ~ ( a2 @ SV23 @ SV95 ) )
= $true )
| ( ( ~ ( likes @ SV60 @ SV84 @ SV95 ) )
= $true )
| ( ( possibly_likes @ SV60 @ SV84 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(337,plain,
! [SV85: mu,SV61: mu,SV96: $i,SV24: $i] :
( ( ( ~ ( a3 @ SV24 @ SV96 ) )
= $true )
| ( ( ~ ( likes @ SV61 @ SV85 @ SV96 ) )
= $true )
| ( ( possibly_likes @ SV61 @ SV85 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(338,plain,
! [SV86: $i,SV65: $i,SV30: $i] :
( ( ( a2 @ SV30 @ SV65 )
= $false )
| ( ( ~ ( a2 @ SV65 @ SV86 ) )
= $true )
| ( ( a2 @ SV30 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(339,plain,
! [SV87: $i,SV66: $i,SV31: $i] :
( ( ( a2 @ SV31 @ SV66 )
= $false )
| ( ( ~ ( a3 @ SV66 @ SV87 ) )
= $true )
| ( ( a3 @ SV31 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(340,plain,
! [SV88: $i,SV67: $i,SV32: $i] :
( ( ( a2 @ SV32 @ SV67 )
= $false )
| ( ( ~ ( a2 @ SV67 @ SV88 ) )
= $true )
| ( ( a2 @ SV32 @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(341,plain,
! [SV89: $i,SV68: $i,SV33: $i] :
( ( ( a3 @ SV33 @ SV68 )
= $false )
| ( ( ~ ( a3 @ SV68 @ SV89 ) )
= $true )
| ( ( a3 @ SV33 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(342,plain,
! [SV90: $i,SV69: $i,SV34: $i] :
( ( ( a2 @ SV34 @ SV69 )
= $false )
| ( ( ~ ( a2 @ SV34 @ SV90 ) )
= $true )
| ( ( a2 @ SV69 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(343,plain,
! [SV91: $i,SV70: $i,SV35: $i] :
( ( ( a3 @ SV35 @ SV70 )
= $false )
| ( ( ~ ( a3 @ SV35 @ SV91 ) )
= $true )
| ( ( a3 @ SV70 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(344,plain,
! [SV71: mu,SV92: mu,SV38: $i] :
( ( ( ~ ( a3 @ SV38 @ ( sK4_SY238 @ SV92 @ SV71 @ SV38 ) ) )
= $false )
| ( ( very_much_likes @ SV71 @ SV92 @ SV38 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(345,plain,
! [SV38: $i,SV92: mu,SV71: mu] :
( ( ( ~ ~ ( very_much_likes @ SV71 @ SV92 @ ( sK4_SY238 @ SV92 @ SV71 @ SV38 ) ) )
= $false )
| ( ( very_much_likes @ SV71 @ SV92 @ SV38 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(346,plain,
! [SV72: mu,SV43: mu,SV93: $i,SV5: $i] :
( ( ( a1 @ SV5 @ SV93 )
= $false )
| ( ( ~ ( likes @ SV43 @ SV72 @ SV93 ) )
= $true )
| ( ( possibly_likes @ SV43 @ SV72 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(347,plain,
! [SV10: $i,SV73: $i,SV47: $i] :
( ( ( a1 @ SV47 @ SV73 )
= $false )
| ( ( a1 @ SV10 @ SV47 )
= $false )
| ( ( a1 @ SV10 @ SV73 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(348,plain,
! [SV11: $i,SV74: $i,SV48: $i] :
( ( ( a2 @ SV48 @ SV74 )
= $false )
| ( ( a1 @ SV11 @ SV48 )
= $false )
| ( ( a2 @ SV11 @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(349,plain,
! [SV12: $i,SV75: $i,SV49: $i] :
( ( ( a3 @ SV49 @ SV75 )
= $false )
| ( ( a1 @ SV12 @ SV49 )
= $false )
| ( ( a3 @ SV12 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(350,plain,
! [SV76: $i,SV50: $i,SV13: $i] :
( ( ( a2 @ SV13 @ SV50 )
= $false )
| ( ( a1 @ SV50 @ SV76 )
= $false )
| ( ( a1 @ SV13 @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(351,plain,
! [SV14: $i,SV77: $i,SV51: $i] :
( ( ( a1 @ SV51 @ SV77 )
= $false )
| ( ( a1 @ SV14 @ SV51 )
= $false )
| ( ( a1 @ SV14 @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(352,plain,
! [SV52: $i,SV78: $i,SV15: $i] :
( ( ( a1 @ SV15 @ SV78 )
= $false )
| ( ( a1 @ SV15 @ SV52 )
= $false )
| ( ( a1 @ SV52 @ SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(353,plain,
! [SV16: $i,SV53: mu,SV97: $i,SV79: $i] :
( ( ( ~ ( a1 @ SV79 @ SV97 )
| ~ ( likes @ SV53 @ pepsi @ SV97 ) )
= $true )
| ( ( likes @ SV53 @ cola @ SV79 )
= $true )
| ( ( a1 @ SV16 @ SV79 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(354,plain,
! [SV17: $i,SV54: mu,SV98: $i,SV80: $i] :
( ( ( ~ ( a1 @ SV80 @ SV98 )
| ~ ( likes @ SV54 @ cola @ SV98 ) )
= $true )
| ( ( likes @ SV54 @ pepsi @ SV80 )
= $true )
| ( ( a1 @ SV17 @ SV80 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(355,plain,
! [SV19: $i,SV81: $i,SV56: mu] :
( ( ( likes @ SV56 @ pepsi @ SV81 )
= $false )
| ( ( likes @ SV56 @ cola @ SV81 )
= $true )
| ( ( a2 @ SV19 @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(356,plain,
! [SV20: $i,SV82: $i,SV57: mu] :
( ( ( likes @ SV57 @ cola @ SV82 )
= $false )
| ( ( likes @ SV57 @ pepsi @ SV82 )
= $true )
| ( ( a2 @ SV20 @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(357,plain,
! [SV83: mu,SV59: mu,SV94: $i,SV22: $i] :
( ( ( a3 @ SV22 @ SV94 )
= $false )
| ( ( ~ ( very_much_likes @ SV59 @ SV83 @ SV94 ) )
= $true )
| ( ( likes @ SV59 @ SV83 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(358,plain,
! [SV84: mu,SV60: mu,SV95: $i,SV23: $i] :
( ( ( a2 @ SV23 @ SV95 )
= $false )
| ( ( ~ ( likes @ SV60 @ SV84 @ SV95 ) )
= $true )
| ( ( possibly_likes @ SV60 @ SV84 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(359,plain,
! [SV85: mu,SV61: mu,SV96: $i,SV24: $i] :
( ( ( a3 @ SV24 @ SV96 )
= $false )
| ( ( ~ ( likes @ SV61 @ SV85 @ SV96 ) )
= $true )
| ( ( possibly_likes @ SV61 @ SV85 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(360,plain,
! [SV30: $i,SV86: $i,SV65: $i] :
( ( ( a2 @ SV65 @ SV86 )
= $false )
| ( ( a2 @ SV30 @ SV65 )
= $false )
| ( ( a2 @ SV30 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(361,plain,
! [SV31: $i,SV87: $i,SV66: $i] :
( ( ( a3 @ SV66 @ SV87 )
= $false )
| ( ( a2 @ SV31 @ SV66 )
= $false )
| ( ( a3 @ SV31 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(362,plain,
! [SV32: $i,SV88: $i,SV67: $i] :
( ( ( a2 @ SV67 @ SV88 )
= $false )
| ( ( a2 @ SV32 @ SV67 )
= $false )
| ( ( a2 @ SV32 @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(363,plain,
! [SV33: $i,SV89: $i,SV68: $i] :
( ( ( a3 @ SV68 @ SV89 )
= $false )
| ( ( a3 @ SV33 @ SV68 )
= $false )
| ( ( a3 @ SV33 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(364,plain,
! [SV69: $i,SV90: $i,SV34: $i] :
( ( ( a2 @ SV34 @ SV90 )
= $false )
| ( ( a2 @ SV34 @ SV69 )
= $false )
| ( ( a2 @ SV69 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(365,plain,
! [SV70: $i,SV91: $i,SV35: $i] :
( ( ( a3 @ SV35 @ SV91 )
= $false )
| ( ( a3 @ SV35 @ SV70 )
= $false )
| ( ( a3 @ SV70 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(366,plain,
! [SV71: mu,SV92: mu,SV38: $i] :
( ( ( a3 @ SV38 @ ( sK4_SY238 @ SV92 @ SV71 @ SV38 ) )
= $true )
| ( ( very_much_likes @ SV71 @ SV92 @ SV38 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(367,plain,
! [SV38: $i,SV92: mu,SV71: mu] :
( ( ( ~ ( very_much_likes @ SV71 @ SV92 @ ( sK4_SY238 @ SV92 @ SV71 @ SV38 ) ) )
= $true )
| ( ( very_much_likes @ SV71 @ SV92 @ SV38 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(368,plain,
! [SV5: $i,SV93: $i,SV72: mu,SV43: mu] :
( ( ( likes @ SV43 @ SV72 @ SV93 )
= $false )
| ( ( a1 @ SV5 @ SV93 )
= $false )
| ( ( possibly_likes @ SV43 @ SV72 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(369,plain,
! [SV16: $i,SV53: mu,SV97: $i,SV79: $i] :
( ( ( ~ ( a1 @ SV79 @ SV97 ) )
= $true )
| ( ( ~ ( likes @ SV53 @ pepsi @ SV97 ) )
= $true )
| ( ( likes @ SV53 @ cola @ SV79 )
= $true )
| ( ( a1 @ SV16 @ SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(370,plain,
! [SV17: $i,SV54: mu,SV98: $i,SV80: $i] :
( ( ( ~ ( a1 @ SV80 @ SV98 ) )
= $true )
| ( ( ~ ( likes @ SV54 @ cola @ SV98 ) )
= $true )
| ( ( likes @ SV54 @ pepsi @ SV80 )
= $true )
| ( ( a1 @ SV17 @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[354]) ).
thf(371,plain,
! [SV22: $i,SV94: $i,SV83: mu,SV59: mu] :
( ( ( very_much_likes @ SV59 @ SV83 @ SV94 )
= $false )
| ( ( a3 @ SV22 @ SV94 )
= $false )
| ( ( likes @ SV59 @ SV83 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(372,plain,
! [SV23: $i,SV95: $i,SV84: mu,SV60: mu] :
( ( ( likes @ SV60 @ SV84 @ SV95 )
= $false )
| ( ( a2 @ SV23 @ SV95 )
= $false )
| ( ( possibly_likes @ SV60 @ SV84 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(373,plain,
! [SV24: $i,SV96: $i,SV85: mu,SV61: mu] :
( ( ( likes @ SV61 @ SV85 @ SV96 )
= $false )
| ( ( a3 @ SV24 @ SV96 )
= $false )
| ( ( possibly_likes @ SV61 @ SV85 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(374,plain,
! [SV38: $i,SV92: mu,SV71: mu] :
( ( ( very_much_likes @ SV71 @ SV92 @ ( sK4_SY238 @ SV92 @ SV71 @ SV38 ) )
= $false )
| ( ( very_much_likes @ SV71 @ SV92 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(375,plain,
! [SV16: $i,SV53: mu,SV97: $i,SV79: $i] :
( ( ( a1 @ SV79 @ SV97 )
= $false )
| ( ( ~ ( likes @ SV53 @ pepsi @ SV97 ) )
= $true )
| ( ( likes @ SV53 @ cola @ SV79 )
= $true )
| ( ( a1 @ SV16 @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(376,plain,
! [SV17: $i,SV54: mu,SV98: $i,SV80: $i] :
( ( ( a1 @ SV80 @ SV98 )
= $false )
| ( ( ~ ( likes @ SV54 @ cola @ SV98 ) )
= $true )
| ( ( likes @ SV54 @ pepsi @ SV80 )
= $true )
| ( ( a1 @ SV17 @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(377,plain,
! [SV16: $i,SV79: $i,SV97: $i,SV53: mu] :
( ( ( likes @ SV53 @ pepsi @ SV97 )
= $false )
| ( ( a1 @ SV79 @ SV97 )
= $false )
| ( ( likes @ SV53 @ cola @ SV79 )
= $true )
| ( ( a1 @ SV16 @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(378,plain,
! [SV17: $i,SV80: $i,SV98: $i,SV54: mu] :
( ( ( likes @ SV54 @ cola @ SV98 )
= $false )
| ( ( a1 @ SV80 @ SV98 )
= $false )
| ( ( likes @ SV54 @ pepsi @ SV80 )
= $true )
| ( ( a1 @ SV17 @ SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(379,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[161,378,377,374,373,372,371,368,366,365,364,363,362,361,360,356,355,352,351,350,349,348,347,301,300,299,298,291,290,289,285,282,273,272,271,269,268,267,266,190,182,181]) ).
thf(380,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[379]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT041^1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 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
% 0.08/0.16 % Computer : n019.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Tue Oct 6 18:00:01 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.00/0.56
% 2.00/0.56 No.of.Axioms: 39
% 2.00/0.56
% 2.00/0.56 Length.of.Defs: 5685
% 2.00/0.56
% 2.00/0.56 Contains.Choice.Funs: false
% 2.00/0.56 ................
% 2.00/0.56
% 2.00/0.56 ********************************
% 2.00/0.56 * All subproblems solved! *
% 2.00/0.56 ********************************
% 2.00/0.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:38,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:379,loop_count:0,foatp_calls:1,translation:fof_full)
% 2.00/0.56
% 2.00/0.56 %**** Beginning of derivation protocol ****
% 2.00/0.56 % SZS output start CNFRefutation
% See solution above
% 2.00/0.56
% 2.00/0.56 %**** End of derivation protocol ****
% 2.00/0.56 %**** no. of clauses in derivation: 379 ****
% 2.00/0.56 %**** clause counter: 379 ****
% 2.00/0.56
% 2.00/0.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:38,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:379,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------