TSTP Solution File: AGT038^1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : AGT038^1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 12:01:32 EDT 2022
% Result : Theorem 0.40s 0.59s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 128
% Syntax : Number of formulae : 512 ( 236 unt; 55 typ; 33 def)
% Number of atoms : 2868 ( 733 equ; 0 cnn)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 4557 ( 814 ~; 688 |; 9 &;3036 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 223 ( 223 >; 0 *; 0 +; 0 <<)
% Number of symbols : 57 ( 54 usr; 8 con; 0-4 aty)
% Number of variables : 1175 ( 85 ^1084 !; 6 ?;1175 :)
% 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_sK10_SY114,type,
sK10_SY114: $i > mu > mu > $i > $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SY1,type,
sK2_SY1: $i > $i ).
thf(tp_sK3_SY5,type,
sK3_SY5: $i > $i ).
thf(tp_sK4_SY12,type,
sK4_SY12: $i > $i ).
thf(tp_sK5_SY13,type,
sK5_SY13: $i > $i ).
thf(tp_sK6_SY54,type,
sK6_SY54: $i > $i ).
thf(tp_sK7_SY112,type,
sK7_SY112: mu > mu > $i > $i ).
thf(tp_sK8_SY113,type,
sK8_SY113: $i > mu > mu > $i > $i ).
thf(tp_sK9_SY114,type,
sK9_SY114: $i > mu > mu > $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) ).
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) ).
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(27,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mbox @ a3 @ ( mimplies @ ( mand @ ( likes @ X @ Y ) @ ( mand @ ( mbox @ a1 @ ( likes @ X @ Y ) ) @ ( mbox @ a2 @ ( likes @ X @ Y ) ) ) ) @ ( very_much_likes @ X @ Y ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_4) ).
thf(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 @ pepsi ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(41,negated_conjecture,
( ( mvalid @ ( possibly_likes @ piotr @ pepsi ) )
= $false ),
inference(negate_conjecture,[status(cth)],[40]) ).
thf(42,plain,
( ( ~ ( mvalid @ ( possibly_likes @ piotr @ pepsi ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[41]) ).
thf(43,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(44,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ piotr @ pepsi ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(45,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ a1 @ ( mimplies @ ( mdia @ a1 @ ( likes @ X @ pepsi ) ) @ ( likes @ X @ cola ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(46,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ a1 @ ( mimplies @ ( mdia @ a1 @ ( likes @ X @ cola ) ) @ ( likes @ X @ pepsi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(47,plain,
( ( mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(48,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ piotr @ cola ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(49,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ piotr @ beer ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(50,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X @ pepsi ) @ ( likes @ X @ cola ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(51,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X @ cola ) @ ( likes @ X @ pepsi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(52,plain,
( ( mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(53,plain,
( ( mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(54,plain,
( ( mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(55,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mbox @ a3 @ ( mimplies @ ( mand @ ( likes @ X @ Y ) @ ( mand @ ( mbox @ a1 @ ( likes @ X @ Y ) ) @ ( mbox @ a2 @ ( likes @ X @ Y ) ) ) ) @ ( very_much_likes @ X @ Y ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(56,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mbox @ a3 @ ( very_much_likes @ X @ Y ) ) @ ( very_much_likes @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(57,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ X @ Y ) ) @ ( likes @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(58,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mdia @ a1 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(59,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mdia @ a2 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(60,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mdia @ a3 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(61,plain,
( ( msymmetric @ a1 )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(62,plain,
( ( msymmetric @ a2 )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(63,plain,
( ( msymmetric @ a3 )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(64,plain,
( ( mserial @ a1 )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(65,plain,
( ( mserial @ a2 )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(66,plain,
( ( mserial @ a3 )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(67,plain,
( ( subrel @ a1 @ a2 )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(68,plain,
( ( subrel @ a1 @ a3 )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(69,plain,
( ( subrel @ a2 @ a3 )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(70,plain,
( ( cond4s @ a1 @ a1 )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(71,plain,
( ( cond4s @ a1 @ a2 )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(72,plain,
( ( cond4s @ a1 @ a3 )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(73,plain,
( ( cond4s @ a2 @ a1 )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(74,plain,
( ( cond4s @ a2 @ a2 )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(75,plain,
( ( cond4s @ a2 @ a3 )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(76,plain,
( ( cond4s @ a1 @ a1 )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(77,plain,
( ( cond4s @ a2 @ a2 )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(78,plain,
( ( cond4s @ a3 @ a3 )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(79,plain,
( ( meuclidean @ a1 )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(80,plain,
( ( meuclidean @ a2 )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(81,plain,
( ( meuclidean @ a3 )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(82,plain,
( ( ~ ( mvalid @ ( possibly_likes @ piotr @ pepsi ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(83,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a1 @ SX0 @ SX1 )
| ( likes @ jan @ cola @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43,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(84,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( a3 @ SX0 @ SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[66,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(85,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( a1 @ SX0 @ SX2 )
| ~ ~ ! [SX3: $i] :
( ~ ( a1 @ SX2 @ SX3 )
| ~ ( likes @ SX1 @ cola @ SX3 ) )
| ( likes @ SX1 @ pepsi @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46,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(86,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( a1 @ SX0 @ SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[64,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(87,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a1 @ SX0 @ SX1 )
| ~ ( a3 @ SX1 @ SX2 ) )
| ( a3 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72,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(88,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a1 @ SX0 @ SX1 )
| ( likes @ piotr @ pepsi @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44,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(89,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a2 @ SX0 @ SX1 )
| ~ ( a1 @ SX1 @ SX2 ) )
| ( a1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73,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(90,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a2 @ SX0 @ SX1 )
| ( likes @ jan @ pepsi @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47,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(91,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( a2 @ SX0 @ SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[65,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(92,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
( ~ ( a3 @ SX0 @ SX1 )
| ~ ( likes @ piotr @ pepsi @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53,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(93,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a1 @ SX0 @ SX1 )
| ~ ( a2 @ SX1 @ SX2 ) )
| ( a2 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71,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(94,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a1 @ SX0 @ SX1 )
| ( likes @ piotr @ cola @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48,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(95,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a2 @ SX0 @ SX1 )
| ~ ( a3 @ SX1 @ SX2 ) )
| ( a3 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75,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(96,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a2 @ SX0 @ SX1 )
| ~ ( a2 @ SX1 @ SX2 ) )
| ( a2 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74,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(97,plain,
( ( ! [SX0: $i,SX1: mu,SX2: mu] :
( ~ ~ ! [SX3: $i] :
( ~ ( a1 @ SX0 @ SX3 )
| ~ ( likes @ SX1 @ SX2 @ SX3 ) )
| ( possibly_likes @ SX1 @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58,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(98,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a1 @ SX0 @ SX1 )
| ( a1 @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61,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(99,plain,
( ( ! [SX0: $i,SX1: mu,SX2: mu] :
( ~ ~ ! [SX3: $i] :
( ~ ( a2 @ SX0 @ SX3 )
| ~ ( likes @ SX1 @ SX2 @ SX3 ) )
| ( possibly_likes @ SX1 @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59,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(100,plain,
( ( ! [SX0: $i,SX1: mu,SX2: mu] :
( ~ ~ ! [SX3: $i] :
( ~ ( a3 @ SX0 @ SX3 )
| ~ ( likes @ SX1 @ SX2 @ SX3 ) )
| ( possibly_likes @ SX1 @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60,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(101,plain,
( ( ! [SX0: $i,SX1: mu,SX2: mu,SX3: $i] :
( ~ ( a3 @ SX0 @ SX3 )
| ~ ~ ( ~ ( likes @ SX1 @ SX2 @ SX3 )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( a1 @ SX3 @ SX4 )
| ( likes @ SX1 @ SX2 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( a2 @ SX3 @ SX4 )
| ( likes @ SX1 @ SX2 @ SX4 ) ) ) )
| ( very_much_likes @ SX1 @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55,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(102,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a1 @ SX0 @ SX1 )
| ( a2 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67,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(103,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( a2 @ SX0 @ SX2 )
| ~ ( likes @ SX1 @ cola @ SX2 )
| ( likes @ SX1 @ pepsi @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51,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(104,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a3 @ SX0 @ SX1 )
| ( a3 @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63,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(105,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a1 @ SX0 @ SX1 )
| ( a3 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68,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(106,plain,
( ( ! [SX0: $i,SX1: mu,SX2: mu] :
( ~ ~ ! [SX3: $i] :
( ~ ( a3 @ SX0 @ SX3 )
| ~ ( very_much_likes @ SX1 @ SX2 @ SX3 ) )
| ( likes @ SX1 @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57,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(107,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a1 @ SX0 @ SX1 )
| ~ ( a1 @ SX1 @ SX2 ) )
| ( a1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76,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(108,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a1 @ SX0 @ SX1 )
| ~ ( a1 @ SX1 @ SX2 ) )
| ( a1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70,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(109,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a2 @ SX0 @ SX1 )
| ~ ( a2 @ SX1 @ SX2 ) )
| ( a2 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77,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(110,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a3 @ SX0 @ SX1 )
| ~ ( a3 @ SX0 @ SX2 ) )
| ( a3 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81,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(111,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a3 @ SX0 @ SX1 )
| ~ ( a3 @ SX1 @ SX2 ) )
| ( a3 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78,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(112,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
( ~ ( a1 @ SX0 @ SX1 )
| ~ ( likes @ piotr @ beer @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54,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(113,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( a1 @ SX0 @ SX2 )
| ~ ~ ! [SX3: $i] :
( ~ ( a1 @ SX2 @ SX3 )
| ~ ( likes @ SX1 @ pepsi @ SX3 ) )
| ( likes @ SX1 @ cola @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45,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(114,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a2 @ SX0 @ SX1 )
| ( a3 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69,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(115,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a1 @ SX0 @ SX1 )
| ~ ( a1 @ SX0 @ SX2 ) )
| ( a1 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79,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(116,plain,
( ( ! [SX0: $i,SX1: mu,SX2: mu] :
( ~ ! [SX3: $i] :
( ~ ( a3 @ SX0 @ SX3 )
| ( very_much_likes @ SX1 @ SX2 @ SX3 ) )
| ( very_much_likes @ SX1 @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56,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(117,plain,
( ( ~ ! [SX0: $i] : ( possibly_likes @ piotr @ pepsi @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[82,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(118,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a2 @ SX0 @ SX1 )
| ( a2 @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62,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(119,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a3 @ SX0 @ SX1 )
| ( likes @ jan @ cola @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52,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(120,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a1 @ SX0 @ SX1 )
| ( likes @ piotr @ beer @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49,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(121,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a2 @ SX0 @ SX1 )
| ~ ( a2 @ SX0 @ SX2 ) )
| ( a2 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80,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(122,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( a2 @ SX0 @ SX2 )
| ~ ( likes @ SX1 @ pepsi @ SX2 )
| ( likes @ SX1 @ cola @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50,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(123,plain,
! [SV1: $i] :
( ( ! [SY0: $i] :
( ~ ( a1 @ SV1 @ SY0 )
| ( likes @ jan @ cola @ SY0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(124,plain,
! [SV2: $i] :
( ( ~ ! [SY1: $i] :
~ ( a3 @ SV2 @ SY1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(125,plain,
! [SV3: $i] :
( ( ! [SY2: mu,SY3: $i] :
( ~ ( a1 @ SV3 @ SY3 )
| ~ ~ ! [SX3: $i] :
( ~ ( a1 @ SY3 @ SX3 )
| ~ ( likes @ SY2 @ cola @ SX3 ) )
| ( likes @ SY2 @ pepsi @ SY3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(126,plain,
! [SV4: $i] :
( ( ~ ! [SY5: $i] :
~ ( a1 @ SV4 @ SY5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(127,plain,
! [SV5: $i] :
( ( ! [SY6: $i,SY7: $i] :
( ~ ~ ( ~ ( a1 @ SV5 @ SY6 )
| ~ ( a3 @ SY6 @ SY7 ) )
| ( a3 @ SV5 @ SY7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(128,plain,
! [SV6: $i] :
( ( ! [SY8: $i] :
( ~ ( a1 @ SV6 @ SY8 )
| ( likes @ piotr @ pepsi @ SY8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(129,plain,
! [SV7: $i] :
( ( ! [SY9: $i,SY10: $i] :
( ~ ~ ( ~ ( a2 @ SV7 @ SY9 )
| ~ ( a1 @ SY9 @ SY10 ) )
| ( a1 @ SV7 @ SY10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(130,plain,
! [SV8: $i] :
( ( ! [SY11: $i] :
( ~ ( a2 @ SV8 @ SY11 )
| ( likes @ jan @ pepsi @ SY11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(131,plain,
! [SV9: $i] :
( ( ~ ! [SY12: $i] :
~ ( a2 @ SV9 @ SY12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(132,plain,
! [SV10: $i] :
( ( ~ ! [SY13: $i] :
( ~ ( a3 @ SV10 @ SY13 )
| ~ ( likes @ piotr @ pepsi @ SY13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(133,plain,
! [SV11: $i] :
( ( ! [SY14: $i,SY15: $i] :
( ~ ~ ( ~ ( a1 @ SV11 @ SY14 )
| ~ ( a2 @ SY14 @ SY15 ) )
| ( a2 @ SV11 @ SY15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(134,plain,
! [SV12: $i] :
( ( ! [SY16: $i] :
( ~ ( a1 @ SV12 @ SY16 )
| ( likes @ piotr @ cola @ SY16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(135,plain,
! [SV13: $i] :
( ( ! [SY17: $i,SY18: $i] :
( ~ ~ ( ~ ( a2 @ SV13 @ SY17 )
| ~ ( a3 @ SY17 @ SY18 ) )
| ( a3 @ SV13 @ SY18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(136,plain,
! [SV14: $i] :
( ( ! [SY19: $i,SY20: $i] :
( ~ ~ ( ~ ( a2 @ SV14 @ SY19 )
| ~ ( a2 @ SY19 @ SY20 ) )
| ( a2 @ SV14 @ SY20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(137,plain,
! [SV15: $i] :
( ( ! [SY21: mu,SY22: mu] :
( ~ ~ ! [SY23: $i] :
( ~ ( a1 @ SV15 @ SY23 )
| ~ ( likes @ SY21 @ SY22 @ SY23 ) )
| ( possibly_likes @ SY21 @ SY22 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(138,plain,
! [SV16: $i] :
( ( ! [SY24: $i] :
( ~ ( a1 @ SV16 @ SY24 )
| ( a1 @ SY24 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(139,plain,
! [SV17: $i] :
( ( ! [SY25: mu,SY26: mu] :
( ~ ~ ! [SY27: $i] :
( ~ ( a2 @ SV17 @ SY27 )
| ~ ( likes @ SY25 @ SY26 @ SY27 ) )
| ( possibly_likes @ SY25 @ SY26 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(140,plain,
! [SV18: $i] :
( ( ! [SY28: mu,SY29: mu] :
( ~ ~ ! [SY30: $i] :
( ~ ( a3 @ SV18 @ SY30 )
| ~ ( likes @ SY28 @ SY29 @ SY30 ) )
| ( possibly_likes @ SY28 @ SY29 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(141,plain,
! [SV19: $i] :
( ( ! [SY31: mu,SY32: mu,SY33: $i] :
( ~ ( a3 @ SV19 @ SY33 )
| ~ ~ ( ~ ( likes @ SY31 @ SY32 @ SY33 )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( a1 @ SY33 @ SX4 )
| ( likes @ SY31 @ SY32 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( a2 @ SY33 @ SX4 )
| ( likes @ SY31 @ SY32 @ SX4 ) ) ) )
| ( very_much_likes @ SY31 @ SY32 @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(142,plain,
! [SV20: $i] :
( ( ! [SY36: $i] :
( ~ ( a1 @ SV20 @ SY36 )
| ( a2 @ SV20 @ SY36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(143,plain,
! [SV21: $i] :
( ( ! [SY37: mu,SY38: $i] :
( ~ ( a2 @ SV21 @ SY38 )
| ~ ( likes @ SY37 @ cola @ SY38 )
| ( likes @ SY37 @ pepsi @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(144,plain,
! [SV22: $i] :
( ( ! [SY39: $i] :
( ~ ( a3 @ SV22 @ SY39 )
| ( a3 @ SY39 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(145,plain,
! [SV23: $i] :
( ( ! [SY40: $i] :
( ~ ( a1 @ SV23 @ SY40 )
| ( a3 @ SV23 @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(146,plain,
! [SV24: $i] :
( ( ! [SY41: mu,SY42: mu] :
( ~ ~ ! [SY43: $i] :
( ~ ( a3 @ SV24 @ SY43 )
| ~ ( very_much_likes @ SY41 @ SY42 @ SY43 ) )
| ( likes @ SY41 @ SY42 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(147,plain,
! [SV25: $i] :
( ( ! [SY44: $i,SY45: $i] :
( ~ ~ ( ~ ( a1 @ SV25 @ SY44 )
| ~ ( a1 @ SY44 @ SY45 ) )
| ( a1 @ SV25 @ SY45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(148,plain,
! [SV26: $i] :
( ( ! [SY46: $i,SY47: $i] :
( ~ ~ ( ~ ( a1 @ SV26 @ SY46 )
| ~ ( a1 @ SY46 @ SY47 ) )
| ( a1 @ SV26 @ SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(149,plain,
! [SV27: $i] :
( ( ! [SY48: $i,SY49: $i] :
( ~ ~ ( ~ ( a2 @ SV27 @ SY48 )
| ~ ( a2 @ SY48 @ SY49 ) )
| ( a2 @ SV27 @ SY49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(150,plain,
! [SV28: $i] :
( ( ! [SY50: $i,SY51: $i] :
( ~ ~ ( ~ ( a3 @ SV28 @ SY50 )
| ~ ( a3 @ SV28 @ SY51 ) )
| ( a3 @ SY50 @ SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(151,plain,
! [SV29: $i] :
( ( ! [SY52: $i,SY53: $i] :
( ~ ~ ( ~ ( a3 @ SV29 @ SY52 )
| ~ ( a3 @ SY52 @ SY53 ) )
| ( a3 @ SV29 @ SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(152,plain,
! [SV30: $i] :
( ( ~ ! [SY54: $i] :
( ~ ( a1 @ SV30 @ SY54 )
| ~ ( likes @ piotr @ beer @ SY54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(153,plain,
! [SV31: $i] :
( ( ! [SY55: mu,SY56: $i] :
( ~ ( a1 @ SV31 @ SY56 )
| ~ ~ ! [SX3: $i] :
( ~ ( a1 @ SY56 @ SX3 )
| ~ ( likes @ SY55 @ pepsi @ SX3 ) )
| ( likes @ SY55 @ cola @ SY56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(154,plain,
! [SV32: $i] :
( ( ! [SY58: $i] :
( ~ ( a2 @ SV32 @ SY58 )
| ( a3 @ SV32 @ SY58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(155,plain,
! [SV33: $i] :
( ( ! [SY59: $i,SY60: $i] :
( ~ ~ ( ~ ( a1 @ SV33 @ SY59 )
| ~ ( a1 @ SV33 @ SY60 ) )
| ( a1 @ SY59 @ SY60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(156,plain,
! [SV34: $i] :
( ( ! [SY61: mu,SY62: mu] :
( ~ ! [SY63: $i] :
( ~ ( a3 @ SV34 @ SY63 )
| ( very_much_likes @ SY61 @ SY62 @ SY63 ) )
| ( very_much_likes @ SY61 @ SY62 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(157,plain,
( ( ! [SX0: $i] : ( possibly_likes @ piotr @ pepsi @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(158,plain,
! [SV35: $i] :
( ( ! [SY64: $i] :
( ~ ( a2 @ SV35 @ SY64 )
| ( a2 @ SY64 @ SV35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(159,plain,
! [SV36: $i] :
( ( ! [SY65: $i] :
( ~ ( a3 @ SV36 @ SY65 )
| ( likes @ jan @ cola @ SY65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(160,plain,
! [SV37: $i] :
( ( ! [SY66: $i] :
( ~ ( a1 @ SV37 @ SY66 )
| ( likes @ piotr @ beer @ SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(161,plain,
! [SV38: $i] :
( ( ! [SY67: $i,SY68: $i] :
( ~ ~ ( ~ ( a2 @ SV38 @ SY67 )
| ~ ( a2 @ SV38 @ SY68 ) )
| ( a2 @ SY67 @ SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(162,plain,
! [SV39: $i] :
( ( ! [SY69: mu,SY70: $i] :
( ~ ( a2 @ SV39 @ SY70 )
| ~ ( likes @ SY69 @ pepsi @ SY70 )
| ( likes @ SY69 @ cola @ SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(163,plain,
! [SV40: $i,SV1: $i] :
( ( ~ ( a1 @ SV1 @ SV40 )
| ( likes @ jan @ cola @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(164,plain,
! [SV2: $i] :
( ( ! [SY1: $i] :
~ ( a3 @ SV2 @ SY1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(165,plain,
! [SV41: mu,SV3: $i] :
( ( ! [SY71: $i] :
( ~ ( a1 @ SV3 @ SY71 )
| ~ ~ ! [SY72: $i] :
( ~ ( a1 @ SY71 @ SY72 )
| ~ ( likes @ SV41 @ cola @ SY72 ) )
| ( likes @ SV41 @ pepsi @ SY71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(166,plain,
! [SV4: $i] :
( ( ! [SY5: $i] :
~ ( a1 @ SV4 @ SY5 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(167,plain,
! [SV42: $i,SV5: $i] :
( ( ! [SY73: $i] :
( ~ ~ ( ~ ( a1 @ SV5 @ SV42 )
| ~ ( a3 @ SV42 @ SY73 ) )
| ( a3 @ SV5 @ SY73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(168,plain,
! [SV43: $i,SV6: $i] :
( ( ~ ( a1 @ SV6 @ SV43 )
| ( likes @ piotr @ pepsi @ SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(169,plain,
! [SV44: $i,SV7: $i] :
( ( ! [SY74: $i] :
( ~ ~ ( ~ ( a2 @ SV7 @ SV44 )
| ~ ( a1 @ SV44 @ SY74 ) )
| ( a1 @ SV7 @ SY74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(170,plain,
! [SV45: $i,SV8: $i] :
( ( ~ ( a2 @ SV8 @ SV45 )
| ( likes @ jan @ pepsi @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(171,plain,
! [SV9: $i] :
( ( ! [SY12: $i] :
~ ( a2 @ SV9 @ SY12 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(172,plain,
! [SV10: $i] :
( ( ! [SY13: $i] :
( ~ ( a3 @ SV10 @ SY13 )
| ~ ( likes @ piotr @ pepsi @ SY13 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(173,plain,
! [SV46: $i,SV11: $i] :
( ( ! [SY75: $i] :
( ~ ~ ( ~ ( a1 @ SV11 @ SV46 )
| ~ ( a2 @ SV46 @ SY75 ) )
| ( a2 @ SV11 @ SY75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(174,plain,
! [SV47: $i,SV12: $i] :
( ( ~ ( a1 @ SV12 @ SV47 )
| ( likes @ piotr @ cola @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(175,plain,
! [SV48: $i,SV13: $i] :
( ( ! [SY76: $i] :
( ~ ~ ( ~ ( a2 @ SV13 @ SV48 )
| ~ ( a3 @ SV48 @ SY76 ) )
| ( a3 @ SV13 @ SY76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(176,plain,
! [SV49: $i,SV14: $i] :
( ( ! [SY77: $i] :
( ~ ~ ( ~ ( a2 @ SV14 @ SV49 )
| ~ ( a2 @ SV49 @ SY77 ) )
| ( a2 @ SV14 @ SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(177,plain,
! [SV50: mu,SV15: $i] :
( ( ! [SY78: mu] :
( ~ ~ ! [SY79: $i] :
( ~ ( a1 @ SV15 @ SY79 )
| ~ ( likes @ SV50 @ SY78 @ SY79 ) )
| ( possibly_likes @ SV50 @ SY78 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(178,plain,
! [SV51: $i,SV16: $i] :
( ( ~ ( a1 @ SV16 @ SV51 )
| ( a1 @ SV51 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(179,plain,
! [SV52: mu,SV17: $i] :
( ( ! [SY80: mu] :
( ~ ~ ! [SY81: $i] :
( ~ ( a2 @ SV17 @ SY81 )
| ~ ( likes @ SV52 @ SY80 @ SY81 ) )
| ( possibly_likes @ SV52 @ SY80 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(180,plain,
! [SV53: mu,SV18: $i] :
( ( ! [SY82: mu] :
( ~ ~ ! [SY83: $i] :
( ~ ( a3 @ SV18 @ SY83 )
| ~ ( likes @ SV53 @ SY82 @ SY83 ) )
| ( possibly_likes @ SV53 @ SY82 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(181,plain,
! [SV54: mu,SV19: $i] :
( ( ! [SY84: mu,SY85: $i] :
( ~ ( a3 @ SV19 @ SY85 )
| ~ ~ ( ~ ( likes @ SV54 @ SY84 @ SY85 )
| ~ ~ ( ~ ! [SY86: $i] :
( ~ ( a1 @ SY85 @ SY86 )
| ( likes @ SV54 @ SY84 @ SY86 ) )
| ~ ! [SY87: $i] :
( ~ ( a2 @ SY85 @ SY87 )
| ( likes @ SV54 @ SY84 @ SY87 ) ) ) )
| ( very_much_likes @ SV54 @ SY84 @ SY85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(182,plain,
! [SV55: $i,SV20: $i] :
( ( ~ ( a1 @ SV20 @ SV55 )
| ( a2 @ SV20 @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(183,plain,
! [SV56: mu,SV21: $i] :
( ( ! [SY88: $i] :
( ~ ( a2 @ SV21 @ SY88 )
| ~ ( likes @ SV56 @ cola @ SY88 )
| ( likes @ SV56 @ pepsi @ SY88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(184,plain,
! [SV57: $i,SV22: $i] :
( ( ~ ( a3 @ SV22 @ SV57 )
| ( a3 @ SV57 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(185,plain,
! [SV58: $i,SV23: $i] :
( ( ~ ( a1 @ SV23 @ SV58 )
| ( a3 @ SV23 @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(186,plain,
! [SV59: mu,SV24: $i] :
( ( ! [SY89: mu] :
( ~ ~ ! [SY90: $i] :
( ~ ( a3 @ SV24 @ SY90 )
| ~ ( very_much_likes @ SV59 @ SY89 @ SY90 ) )
| ( likes @ SV59 @ SY89 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(187,plain,
! [SV60: $i,SV25: $i] :
( ( ! [SY91: $i] :
( ~ ~ ( ~ ( a1 @ SV25 @ SV60 )
| ~ ( a1 @ SV60 @ SY91 ) )
| ( a1 @ SV25 @ SY91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(188,plain,
! [SV61: $i,SV26: $i] :
( ( ! [SY92: $i] :
( ~ ~ ( ~ ( a1 @ SV26 @ SV61 )
| ~ ( a1 @ SV61 @ SY92 ) )
| ( a1 @ SV26 @ SY92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(189,plain,
! [SV62: $i,SV27: $i] :
( ( ! [SY93: $i] :
( ~ ~ ( ~ ( a2 @ SV27 @ SV62 )
| ~ ( a2 @ SV62 @ SY93 ) )
| ( a2 @ SV27 @ SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(190,plain,
! [SV63: $i,SV28: $i] :
( ( ! [SY94: $i] :
( ~ ~ ( ~ ( a3 @ SV28 @ SV63 )
| ~ ( a3 @ SV28 @ SY94 ) )
| ( a3 @ SV63 @ SY94 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(191,plain,
! [SV64: $i,SV29: $i] :
( ( ! [SY95: $i] :
( ~ ~ ( ~ ( a3 @ SV29 @ SV64 )
| ~ ( a3 @ SV64 @ SY95 ) )
| ( a3 @ SV29 @ SY95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(192,plain,
! [SV30: $i] :
( ( ! [SY54: $i] :
( ~ ( a1 @ SV30 @ SY54 )
| ~ ( likes @ piotr @ beer @ SY54 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(193,plain,
! [SV65: mu,SV31: $i] :
( ( ! [SY96: $i] :
( ~ ( a1 @ SV31 @ SY96 )
| ~ ~ ! [SY97: $i] :
( ~ ( a1 @ SY96 @ SY97 )
| ~ ( likes @ SV65 @ pepsi @ SY97 ) )
| ( likes @ SV65 @ cola @ SY96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(194,plain,
! [SV66: $i,SV32: $i] :
( ( ~ ( a2 @ SV32 @ SV66 )
| ( a3 @ SV32 @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(195,plain,
! [SV67: $i,SV33: $i] :
( ( ! [SY98: $i] :
( ~ ~ ( ~ ( a1 @ SV33 @ SV67 )
| ~ ( a1 @ SV33 @ SY98 ) )
| ( a1 @ SV67 @ SY98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(196,plain,
! [SV68: mu,SV34: $i] :
( ( ! [SY99: mu] :
( ~ ! [SY100: $i] :
( ~ ( a3 @ SV34 @ SY100 )
| ( very_much_likes @ SV68 @ SY99 @ SY100 ) )
| ( very_much_likes @ SV68 @ SY99 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(197,plain,
( ( possibly_likes @ piotr @ pepsi @ sK1_SX0 )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[157]) ).
thf(198,plain,
! [SV69: $i,SV35: $i] :
( ( ~ ( a2 @ SV35 @ SV69 )
| ( a2 @ SV69 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(199,plain,
! [SV70: $i,SV36: $i] :
( ( ~ ( a3 @ SV36 @ SV70 )
| ( likes @ jan @ cola @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(200,plain,
! [SV71: $i,SV37: $i] :
( ( ~ ( a1 @ SV37 @ SV71 )
| ( likes @ piotr @ beer @ SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(201,plain,
! [SV72: $i,SV38: $i] :
( ( ! [SY101: $i] :
( ~ ~ ( ~ ( a2 @ SV38 @ SV72 )
| ~ ( a2 @ SV38 @ SY101 ) )
| ( a2 @ SV72 @ SY101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(202,plain,
! [SV73: mu,SV39: $i] :
( ( ! [SY102: $i] :
( ~ ( a2 @ SV39 @ SY102 )
| ~ ( likes @ SV73 @ pepsi @ SY102 )
| ( likes @ SV73 @ cola @ SY102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(203,plain,
! [SV40: $i,SV1: $i] :
( ( ( ~ ( a1 @ SV1 @ SV40 ) )
= $true )
| ( ( likes @ jan @ cola @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(204,plain,
! [SV2: $i] :
( ( ~ ( a3 @ SV2 @ ( sK2_SY1 @ SV2 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[164]) ).
thf(205,plain,
! [SV41: mu,SV74: $i,SV3: $i] :
( ( ~ ( a1 @ SV3 @ SV74 )
| ~ ~ ! [SY103: $i] :
( ~ ( a1 @ SV74 @ SY103 )
| ~ ( likes @ SV41 @ cola @ SY103 ) )
| ( likes @ SV41 @ pepsi @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(206,plain,
! [SV4: $i] :
( ( ~ ( a1 @ SV4 @ ( sK3_SY5 @ SV4 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[166]) ).
thf(207,plain,
! [SV75: $i,SV42: $i,SV5: $i] :
( ( ~ ~ ( ~ ( a1 @ SV5 @ SV42 )
| ~ ( a3 @ SV42 @ SV75 ) )
| ( a3 @ SV5 @ SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(208,plain,
! [SV43: $i,SV6: $i] :
( ( ( ~ ( a1 @ SV6 @ SV43 ) )
= $true )
| ( ( likes @ piotr @ pepsi @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(209,plain,
! [SV76: $i,SV44: $i,SV7: $i] :
( ( ~ ~ ( ~ ( a2 @ SV7 @ SV44 )
| ~ ( a1 @ SV44 @ SV76 ) )
| ( a1 @ SV7 @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(210,plain,
! [SV45: $i,SV8: $i] :
( ( ( ~ ( a2 @ SV8 @ SV45 ) )
= $true )
| ( ( likes @ jan @ pepsi @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(211,plain,
! [SV9: $i] :
( ( ~ ( a2 @ SV9 @ ( sK4_SY12 @ SV9 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[171]) ).
thf(212,plain,
! [SV10: $i] :
( ( ~ ( a3 @ SV10 @ ( sK5_SY13 @ SV10 ) )
| ~ ( likes @ piotr @ pepsi @ ( sK5_SY13 @ SV10 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[172]) ).
thf(213,plain,
! [SV77: $i,SV46: $i,SV11: $i] :
( ( ~ ~ ( ~ ( a1 @ SV11 @ SV46 )
| ~ ( a2 @ SV46 @ SV77 ) )
| ( a2 @ SV11 @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(214,plain,
! [SV47: $i,SV12: $i] :
( ( ( ~ ( a1 @ SV12 @ SV47 ) )
= $true )
| ( ( likes @ piotr @ cola @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(215,plain,
! [SV78: $i,SV48: $i,SV13: $i] :
( ( ~ ~ ( ~ ( a2 @ SV13 @ SV48 )
| ~ ( a3 @ SV48 @ SV78 ) )
| ( a3 @ SV13 @ SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(216,plain,
! [SV79: $i,SV49: $i,SV14: $i] :
( ( ~ ~ ( ~ ( a2 @ SV14 @ SV49 )
| ~ ( a2 @ SV49 @ SV79 ) )
| ( a2 @ SV14 @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(217,plain,
! [SV80: mu,SV50: mu,SV15: $i] :
( ( ~ ~ ! [SY104: $i] :
( ~ ( a1 @ SV15 @ SY104 )
| ~ ( likes @ SV50 @ SV80 @ SY104 ) )
| ( possibly_likes @ SV50 @ SV80 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(218,plain,
! [SV51: $i,SV16: $i] :
( ( ( ~ ( a1 @ SV16 @ SV51 ) )
= $true )
| ( ( a1 @ SV51 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(219,plain,
! [SV81: mu,SV52: mu,SV17: $i] :
( ( ~ ~ ! [SY105: $i] :
( ~ ( a2 @ SV17 @ SY105 )
| ~ ( likes @ SV52 @ SV81 @ SY105 ) )
| ( possibly_likes @ SV52 @ SV81 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(220,plain,
! [SV82: mu,SV53: mu,SV18: $i] :
( ( ~ ~ ! [SY106: $i] :
( ~ ( a3 @ SV18 @ SY106 )
| ~ ( likes @ SV53 @ SV82 @ SY106 ) )
| ( possibly_likes @ SV53 @ SV82 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(221,plain,
! [SV83: mu,SV54: mu,SV19: $i] :
( ( ! [SY107: $i] :
( ~ ( a3 @ SV19 @ SY107 )
| ~ ~ ( ~ ( likes @ SV54 @ SV83 @ SY107 )
| ~ ~ ( ~ ! [SY108: $i] :
( ~ ( a1 @ SY107 @ SY108 )
| ( likes @ SV54 @ SV83 @ SY108 ) )
| ~ ! [SY109: $i] :
( ~ ( a2 @ SY107 @ SY109 )
| ( likes @ SV54 @ SV83 @ SY109 ) ) ) )
| ( very_much_likes @ SV54 @ SV83 @ SY107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(222,plain,
! [SV55: $i,SV20: $i] :
( ( ( ~ ( a1 @ SV20 @ SV55 ) )
= $true )
| ( ( a2 @ SV20 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(223,plain,
! [SV56: mu,SV84: $i,SV21: $i] :
( ( ~ ( a2 @ SV21 @ SV84 )
| ~ ( likes @ SV56 @ cola @ SV84 )
| ( likes @ SV56 @ pepsi @ SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(224,plain,
! [SV57: $i,SV22: $i] :
( ( ( ~ ( a3 @ SV22 @ SV57 ) )
= $true )
| ( ( a3 @ SV57 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(225,plain,
! [SV58: $i,SV23: $i] :
( ( ( ~ ( a1 @ SV23 @ SV58 ) )
= $true )
| ( ( a3 @ SV23 @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(226,plain,
! [SV85: mu,SV59: mu,SV24: $i] :
( ( ~ ~ ! [SY110: $i] :
( ~ ( a3 @ SV24 @ SY110 )
| ~ ( very_much_likes @ SV59 @ SV85 @ SY110 ) )
| ( likes @ SV59 @ SV85 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(227,plain,
! [SV86: $i,SV60: $i,SV25: $i] :
( ( ~ ~ ( ~ ( a1 @ SV25 @ SV60 )
| ~ ( a1 @ SV60 @ SV86 ) )
| ( a1 @ SV25 @ SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(228,plain,
! [SV87: $i,SV61: $i,SV26: $i] :
( ( ~ ~ ( ~ ( a1 @ SV26 @ SV61 )
| ~ ( a1 @ SV61 @ SV87 ) )
| ( a1 @ SV26 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(229,plain,
! [SV88: $i,SV62: $i,SV27: $i] :
( ( ~ ~ ( ~ ( a2 @ SV27 @ SV62 )
| ~ ( a2 @ SV62 @ SV88 ) )
| ( a2 @ SV27 @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(230,plain,
! [SV89: $i,SV63: $i,SV28: $i] :
( ( ~ ~ ( ~ ( a3 @ SV28 @ SV63 )
| ~ ( a3 @ SV28 @ SV89 ) )
| ( a3 @ SV63 @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(231,plain,
! [SV90: $i,SV64: $i,SV29: $i] :
( ( ~ ~ ( ~ ( a3 @ SV29 @ SV64 )
| ~ ( a3 @ SV64 @ SV90 ) )
| ( a3 @ SV29 @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(232,plain,
! [SV30: $i] :
( ( ~ ( a1 @ SV30 @ ( sK6_SY54 @ SV30 ) )
| ~ ( likes @ piotr @ beer @ ( sK6_SY54 @ SV30 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[192]) ).
thf(233,plain,
! [SV65: mu,SV91: $i,SV31: $i] :
( ( ~ ( a1 @ SV31 @ SV91 )
| ~ ~ ! [SY111: $i] :
( ~ ( a1 @ SV91 @ SY111 )
| ~ ( likes @ SV65 @ pepsi @ SY111 ) )
| ( likes @ SV65 @ cola @ SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(234,plain,
! [SV66: $i,SV32: $i] :
( ( ( ~ ( a2 @ SV32 @ SV66 ) )
= $true )
| ( ( a3 @ SV32 @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(235,plain,
! [SV92: $i,SV67: $i,SV33: $i] :
( ( ~ ~ ( ~ ( a1 @ SV33 @ SV67 )
| ~ ( a1 @ SV33 @ SV92 ) )
| ( a1 @ SV67 @ SV92 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(236,plain,
! [SV93: mu,SV68: mu,SV34: $i] :
( ( ~ ! [SY112: $i] :
( ~ ( a3 @ SV34 @ SY112 )
| ( very_much_likes @ SV68 @ SV93 @ SY112 ) )
| ( very_much_likes @ SV68 @ SV93 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(237,plain,
! [SV69: $i,SV35: $i] :
( ( ( ~ ( a2 @ SV35 @ SV69 ) )
= $true )
| ( ( a2 @ SV69 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(238,plain,
! [SV70: $i,SV36: $i] :
( ( ( ~ ( a3 @ SV36 @ SV70 ) )
= $true )
| ( ( likes @ jan @ cola @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(239,plain,
! [SV71: $i,SV37: $i] :
( ( ( ~ ( a1 @ SV37 @ SV71 ) )
= $true )
| ( ( likes @ piotr @ beer @ SV71 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(240,plain,
! [SV94: $i,SV72: $i,SV38: $i] :
( ( ~ ~ ( ~ ( a2 @ SV38 @ SV72 )
| ~ ( a2 @ SV38 @ SV94 ) )
| ( a2 @ SV72 @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(241,plain,
! [SV73: mu,SV95: $i,SV39: $i] :
( ( ~ ( a2 @ SV39 @ SV95 )
| ~ ( likes @ SV73 @ pepsi @ SV95 )
| ( likes @ SV73 @ cola @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(242,plain,
! [SV40: $i,SV1: $i] :
( ( ( a1 @ SV1 @ SV40 )
= $false )
| ( ( likes @ jan @ cola @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(243,plain,
! [SV2: $i] :
( ( a3 @ SV2 @ ( sK2_SY1 @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(244,plain,
! [SV41: mu,SV74: $i,SV3: $i] :
( ( ( ~ ( a1 @ SV3 @ SV74 ) )
= $true )
| ( ( ~ ~ ! [SY103: $i] :
( ~ ( a1 @ SV74 @ SY103 )
| ~ ( likes @ SV41 @ cola @ SY103 ) )
| ( likes @ SV41 @ pepsi @ SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(245,plain,
! [SV4: $i] :
( ( a1 @ SV4 @ ( sK3_SY5 @ SV4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(246,plain,
! [SV75: $i,SV42: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( a1 @ SV5 @ SV42 )
| ~ ( a3 @ SV42 @ SV75 ) ) )
= $true )
| ( ( a3 @ SV5 @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(247,plain,
! [SV43: $i,SV6: $i] :
( ( ( a1 @ SV6 @ SV43 )
= $false )
| ( ( likes @ piotr @ pepsi @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(248,plain,
! [SV76: $i,SV44: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( a2 @ SV7 @ SV44 )
| ~ ( a1 @ SV44 @ SV76 ) ) )
= $true )
| ( ( a1 @ SV7 @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(249,plain,
! [SV45: $i,SV8: $i] :
( ( ( a2 @ SV8 @ SV45 )
= $false )
| ( ( likes @ jan @ pepsi @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(250,plain,
! [SV9: $i] :
( ( a2 @ SV9 @ ( sK4_SY12 @ SV9 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(251,plain,
! [SV10: $i] :
( ( ~ ( a3 @ SV10 @ ( sK5_SY13 @ SV10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(252,plain,
! [SV10: $i] :
( ( ~ ( likes @ piotr @ pepsi @ ( sK5_SY13 @ SV10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[212]) ).
thf(253,plain,
! [SV77: $i,SV46: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( a1 @ SV11 @ SV46 )
| ~ ( a2 @ SV46 @ SV77 ) ) )
= $true )
| ( ( a2 @ SV11 @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(254,plain,
! [SV47: $i,SV12: $i] :
( ( ( a1 @ SV12 @ SV47 )
= $false )
| ( ( likes @ piotr @ cola @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(255,plain,
! [SV78: $i,SV48: $i,SV13: $i] :
( ( ( ~ ~ ( ~ ( a2 @ SV13 @ SV48 )
| ~ ( a3 @ SV48 @ SV78 ) ) )
= $true )
| ( ( a3 @ SV13 @ SV78 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(256,plain,
! [SV79: $i,SV49: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( a2 @ SV14 @ SV49 )
| ~ ( a2 @ SV49 @ SV79 ) ) )
= $true )
| ( ( a2 @ SV14 @ SV79 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(257,plain,
! [SV80: mu,SV50: mu,SV15: $i] :
( ( ( ~ ~ ! [SY104: $i] :
( ~ ( a1 @ SV15 @ SY104 )
| ~ ( likes @ SV50 @ SV80 @ SY104 ) ) )
= $true )
| ( ( possibly_likes @ SV50 @ SV80 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(258,plain,
! [SV51: $i,SV16: $i] :
( ( ( a1 @ SV16 @ SV51 )
= $false )
| ( ( a1 @ SV51 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(259,plain,
! [SV81: mu,SV52: mu,SV17: $i] :
( ( ( ~ ~ ! [SY105: $i] :
( ~ ( a2 @ SV17 @ SY105 )
| ~ ( likes @ SV52 @ SV81 @ SY105 ) ) )
= $true )
| ( ( possibly_likes @ SV52 @ SV81 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(260,plain,
! [SV82: mu,SV53: mu,SV18: $i] :
( ( ( ~ ~ ! [SY106: $i] :
( ~ ( a3 @ SV18 @ SY106 )
| ~ ( likes @ SV53 @ SV82 @ SY106 ) ) )
= $true )
| ( ( possibly_likes @ SV53 @ SV82 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(261,plain,
! [SV83: mu,SV54: mu,SV96: $i,SV19: $i] :
( ( ~ ( a3 @ SV19 @ SV96 )
| ~ ~ ( ~ ( likes @ SV54 @ SV83 @ SV96 )
| ~ ~ ( ~ ! [SY113: $i] :
( ~ ( a1 @ SV96 @ SY113 )
| ( likes @ SV54 @ SV83 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( a2 @ SV96 @ SY114 )
| ( likes @ SV54 @ SV83 @ SY114 ) ) ) )
| ( very_much_likes @ SV54 @ SV83 @ SV96 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(262,plain,
! [SV55: $i,SV20: $i] :
( ( ( a1 @ SV20 @ SV55 )
= $false )
| ( ( a2 @ SV20 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(263,plain,
! [SV56: mu,SV84: $i,SV21: $i] :
( ( ( ~ ( a2 @ SV21 @ SV84 ) )
= $true )
| ( ( ~ ( likes @ SV56 @ cola @ SV84 )
| ( likes @ SV56 @ pepsi @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(264,plain,
! [SV57: $i,SV22: $i] :
( ( ( a3 @ SV22 @ SV57 )
= $false )
| ( ( a3 @ SV57 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(265,plain,
! [SV58: $i,SV23: $i] :
( ( ( a1 @ SV23 @ SV58 )
= $false )
| ( ( a3 @ SV23 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(266,plain,
! [SV85: mu,SV59: mu,SV24: $i] :
( ( ( ~ ~ ! [SY110: $i] :
( ~ ( a3 @ SV24 @ SY110 )
| ~ ( very_much_likes @ SV59 @ SV85 @ SY110 ) ) )
= $true )
| ( ( likes @ SV59 @ SV85 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(267,plain,
! [SV86: $i,SV60: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ( a1 @ SV25 @ SV60 )
| ~ ( a1 @ SV60 @ SV86 ) ) )
= $true )
| ( ( a1 @ SV25 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(268,plain,
! [SV87: $i,SV61: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( a1 @ SV26 @ SV61 )
| ~ ( a1 @ SV61 @ SV87 ) ) )
= $true )
| ( ( a1 @ SV26 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(269,plain,
! [SV88: $i,SV62: $i,SV27: $i] :
( ( ( ~ ~ ( ~ ( a2 @ SV27 @ SV62 )
| ~ ( a2 @ SV62 @ SV88 ) ) )
= $true )
| ( ( a2 @ SV27 @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(270,plain,
! [SV89: $i,SV63: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( a3 @ SV28 @ SV63 )
| ~ ( a3 @ SV28 @ SV89 ) ) )
= $true )
| ( ( a3 @ SV63 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(271,plain,
! [SV90: $i,SV64: $i,SV29: $i] :
( ( ( ~ ~ ( ~ ( a3 @ SV29 @ SV64 )
| ~ ( a3 @ SV64 @ SV90 ) ) )
= $true )
| ( ( a3 @ SV29 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(272,plain,
! [SV30: $i] :
( ( ~ ( a1 @ SV30 @ ( sK6_SY54 @ SV30 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(273,plain,
! [SV30: $i] :
( ( ~ ( likes @ piotr @ beer @ ( sK6_SY54 @ SV30 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(274,plain,
! [SV65: mu,SV91: $i,SV31: $i] :
( ( ( ~ ( a1 @ SV31 @ SV91 ) )
= $true )
| ( ( ~ ~ ! [SY111: $i] :
( ~ ( a1 @ SV91 @ SY111 )
| ~ ( likes @ SV65 @ pepsi @ SY111 ) )
| ( likes @ SV65 @ cola @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(275,plain,
! [SV66: $i,SV32: $i] :
( ( ( a2 @ SV32 @ SV66 )
= $false )
| ( ( a3 @ SV32 @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(276,plain,
! [SV92: $i,SV67: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( a1 @ SV33 @ SV67 )
| ~ ( a1 @ SV33 @ SV92 ) ) )
= $true )
| ( ( a1 @ SV67 @ SV92 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(277,plain,
! [SV93: mu,SV68: mu,SV34: $i] :
( ( ( ~ ! [SY112: $i] :
( ~ ( a3 @ SV34 @ SY112 )
| ( very_much_likes @ SV68 @ SV93 @ SY112 ) ) )
= $true )
| ( ( very_much_likes @ SV68 @ SV93 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(278,plain,
! [SV69: $i,SV35: $i] :
( ( ( a2 @ SV35 @ SV69 )
= $false )
| ( ( a2 @ SV69 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(279,plain,
! [SV70: $i,SV36: $i] :
( ( ( a3 @ SV36 @ SV70 )
= $false )
| ( ( likes @ jan @ cola @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(280,plain,
! [SV71: $i,SV37: $i] :
( ( ( a1 @ SV37 @ SV71 )
= $false )
| ( ( likes @ piotr @ beer @ SV71 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(281,plain,
! [SV94: $i,SV72: $i,SV38: $i] :
( ( ( ~ ~ ( ~ ( a2 @ SV38 @ SV72 )
| ~ ( a2 @ SV38 @ SV94 ) ) )
= $true )
| ( ( a2 @ SV72 @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(282,plain,
! [SV73: mu,SV95: $i,SV39: $i] :
( ( ( ~ ( a2 @ SV39 @ SV95 ) )
= $true )
| ( ( ~ ( likes @ SV73 @ pepsi @ SV95 )
| ( likes @ SV73 @ cola @ SV95 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(283,plain,
! [SV41: mu,SV74: $i,SV3: $i] :
( ( ( a1 @ SV3 @ SV74 )
= $false )
| ( ( ~ ~ ! [SY103: $i] :
( ~ ( a1 @ SV74 @ SY103 )
| ~ ( likes @ SV41 @ cola @ SY103 ) )
| ( likes @ SV41 @ pepsi @ SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(284,plain,
! [SV75: $i,SV42: $i,SV5: $i] :
( ( ( ~ ( ~ ( a1 @ SV5 @ SV42 )
| ~ ( a3 @ SV42 @ SV75 ) ) )
= $false )
| ( ( a3 @ SV5 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(285,plain,
! [SV76: $i,SV44: $i,SV7: $i] :
( ( ( ~ ( ~ ( a2 @ SV7 @ SV44 )
| ~ ( a1 @ SV44 @ SV76 ) ) )
= $false )
| ( ( a1 @ SV7 @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(286,plain,
! [SV10: $i] :
( ( a3 @ SV10 @ ( sK5_SY13 @ SV10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(287,plain,
! [SV10: $i] :
( ( likes @ piotr @ pepsi @ ( sK5_SY13 @ SV10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(288,plain,
! [SV77: $i,SV46: $i,SV11: $i] :
( ( ( ~ ( ~ ( a1 @ SV11 @ SV46 )
| ~ ( a2 @ SV46 @ SV77 ) ) )
= $false )
| ( ( a2 @ SV11 @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(289,plain,
! [SV78: $i,SV48: $i,SV13: $i] :
( ( ( ~ ( ~ ( a2 @ SV13 @ SV48 )
| ~ ( a3 @ SV48 @ SV78 ) ) )
= $false )
| ( ( a3 @ SV13 @ SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(290,plain,
! [SV79: $i,SV49: $i,SV14: $i] :
( ( ( ~ ( ~ ( a2 @ SV14 @ SV49 )
| ~ ( a2 @ SV49 @ SV79 ) ) )
= $false )
| ( ( a2 @ SV14 @ SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(291,plain,
! [SV80: mu,SV50: mu,SV15: $i] :
( ( ( ~ ! [SY104: $i] :
( ~ ( a1 @ SV15 @ SY104 )
| ~ ( likes @ SV50 @ SV80 @ SY104 ) ) )
= $false )
| ( ( possibly_likes @ SV50 @ SV80 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(292,plain,
! [SV81: mu,SV52: mu,SV17: $i] :
( ( ( ~ ! [SY105: $i] :
( ~ ( a2 @ SV17 @ SY105 )
| ~ ( likes @ SV52 @ SV81 @ SY105 ) ) )
= $false )
| ( ( possibly_likes @ SV52 @ SV81 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(293,plain,
! [SV82: mu,SV53: mu,SV18: $i] :
( ( ( ~ ! [SY106: $i] :
( ~ ( a3 @ SV18 @ SY106 )
| ~ ( likes @ SV53 @ SV82 @ SY106 ) ) )
= $false )
| ( ( possibly_likes @ SV53 @ SV82 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(294,plain,
! [SV83: mu,SV54: mu,SV96: $i,SV19: $i] :
( ( ( ~ ( a3 @ SV19 @ SV96 ) )
= $true )
| ( ( ~ ~ ( ~ ( likes @ SV54 @ SV83 @ SV96 )
| ~ ~ ( ~ ! [SY113: $i] :
( ~ ( a1 @ SV96 @ SY113 )
| ( likes @ SV54 @ SV83 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( a2 @ SV96 @ SY114 )
| ( likes @ SV54 @ SV83 @ SY114 ) ) ) )
| ( very_much_likes @ SV54 @ SV83 @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(295,plain,
! [SV56: mu,SV84: $i,SV21: $i] :
( ( ( a2 @ SV21 @ SV84 )
= $false )
| ( ( ~ ( likes @ SV56 @ cola @ SV84 )
| ( likes @ SV56 @ pepsi @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(296,plain,
! [SV85: mu,SV59: mu,SV24: $i] :
( ( ( ~ ! [SY110: $i] :
( ~ ( a3 @ SV24 @ SY110 )
| ~ ( very_much_likes @ SV59 @ SV85 @ SY110 ) ) )
= $false )
| ( ( likes @ SV59 @ SV85 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(297,plain,
! [SV86: $i,SV60: $i,SV25: $i] :
( ( ( ~ ( ~ ( a1 @ SV25 @ SV60 )
| ~ ( a1 @ SV60 @ SV86 ) ) )
= $false )
| ( ( a1 @ SV25 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(298,plain,
! [SV87: $i,SV61: $i,SV26: $i] :
( ( ( ~ ( ~ ( a1 @ SV26 @ SV61 )
| ~ ( a1 @ SV61 @ SV87 ) ) )
= $false )
| ( ( a1 @ SV26 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(299,plain,
! [SV88: $i,SV62: $i,SV27: $i] :
( ( ( ~ ( ~ ( a2 @ SV27 @ SV62 )
| ~ ( a2 @ SV62 @ SV88 ) ) )
= $false )
| ( ( a2 @ SV27 @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(300,plain,
! [SV89: $i,SV63: $i,SV28: $i] :
( ( ( ~ ( ~ ( a3 @ SV28 @ SV63 )
| ~ ( a3 @ SV28 @ SV89 ) ) )
= $false )
| ( ( a3 @ SV63 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(301,plain,
! [SV90: $i,SV64: $i,SV29: $i] :
( ( ( ~ ( ~ ( a3 @ SV29 @ SV64 )
| ~ ( a3 @ SV64 @ SV90 ) ) )
= $false )
| ( ( a3 @ SV29 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(302,plain,
! [SV30: $i] :
( ( a1 @ SV30 @ ( sK6_SY54 @ SV30 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(303,plain,
! [SV30: $i] :
( ( likes @ piotr @ beer @ ( sK6_SY54 @ SV30 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(304,plain,
! [SV65: mu,SV91: $i,SV31: $i] :
( ( ( a1 @ SV31 @ SV91 )
= $false )
| ( ( ~ ~ ! [SY111: $i] :
( ~ ( a1 @ SV91 @ SY111 )
| ~ ( likes @ SV65 @ pepsi @ SY111 ) )
| ( likes @ SV65 @ cola @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(305,plain,
! [SV92: $i,SV67: $i,SV33: $i] :
( ( ( ~ ( ~ ( a1 @ SV33 @ SV67 )
| ~ ( a1 @ SV33 @ SV92 ) ) )
= $false )
| ( ( a1 @ SV67 @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(306,plain,
! [SV93: mu,SV68: mu,SV34: $i] :
( ( ( ! [SY112: $i] :
( ~ ( a3 @ SV34 @ SY112 )
| ( very_much_likes @ SV68 @ SV93 @ SY112 ) ) )
= $false )
| ( ( very_much_likes @ SV68 @ SV93 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(307,plain,
! [SV94: $i,SV72: $i,SV38: $i] :
( ( ( ~ ( ~ ( a2 @ SV38 @ SV72 )
| ~ ( a2 @ SV38 @ SV94 ) ) )
= $false )
| ( ( a2 @ SV72 @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(308,plain,
! [SV73: mu,SV95: $i,SV39: $i] :
( ( ( a2 @ SV39 @ SV95 )
= $false )
| ( ( ~ ( likes @ SV73 @ pepsi @ SV95 )
| ( likes @ SV73 @ cola @ SV95 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(309,plain,
! [SV3: $i,SV41: mu,SV74: $i] :
( ( ( ~ ~ ! [SY103: $i] :
( ~ ( a1 @ SV74 @ SY103 )
| ~ ( likes @ SV41 @ cola @ SY103 ) ) )
= $true )
| ( ( likes @ SV41 @ pepsi @ SV74 )
= $true )
| ( ( a1 @ SV3 @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(310,plain,
! [SV75: $i,SV42: $i,SV5: $i] :
( ( ( ~ ( a1 @ SV5 @ SV42 )
| ~ ( a3 @ SV42 @ SV75 ) )
= $true )
| ( ( a3 @ SV5 @ SV75 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(311,plain,
! [SV76: $i,SV44: $i,SV7: $i] :
( ( ( ~ ( a2 @ SV7 @ SV44 )
| ~ ( a1 @ SV44 @ SV76 ) )
= $true )
| ( ( a1 @ SV7 @ SV76 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(312,plain,
! [SV77: $i,SV46: $i,SV11: $i] :
( ( ( ~ ( a1 @ SV11 @ SV46 )
| ~ ( a2 @ SV46 @ SV77 ) )
= $true )
| ( ( a2 @ SV11 @ SV77 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(313,plain,
! [SV78: $i,SV48: $i,SV13: $i] :
( ( ( ~ ( a2 @ SV13 @ SV48 )
| ~ ( a3 @ SV48 @ SV78 ) )
= $true )
| ( ( a3 @ SV13 @ SV78 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(314,plain,
! [SV79: $i,SV49: $i,SV14: $i] :
( ( ( ~ ( a2 @ SV14 @ SV49 )
| ~ ( a2 @ SV49 @ SV79 ) )
= $true )
| ( ( a2 @ SV14 @ SV79 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(315,plain,
! [SV80: mu,SV50: mu,SV15: $i] :
( ( ( ! [SY104: $i] :
( ~ ( a1 @ SV15 @ SY104 )
| ~ ( likes @ SV50 @ SV80 @ SY104 ) ) )
= $true )
| ( ( possibly_likes @ SV50 @ SV80 @ SV15 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(316,plain,
! [SV81: mu,SV52: mu,SV17: $i] :
( ( ( ! [SY105: $i] :
( ~ ( a2 @ SV17 @ SY105 )
| ~ ( likes @ SV52 @ SV81 @ SY105 ) ) )
= $true )
| ( ( possibly_likes @ SV52 @ SV81 @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(317,plain,
! [SV82: mu,SV53: mu,SV18: $i] :
( ( ( ! [SY106: $i] :
( ~ ( a3 @ SV18 @ SY106 )
| ~ ( likes @ SV53 @ SV82 @ SY106 ) ) )
= $true )
| ( ( possibly_likes @ SV53 @ SV82 @ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(318,plain,
! [SV83: mu,SV54: mu,SV96: $i,SV19: $i] :
( ( ( a3 @ SV19 @ SV96 )
= $false )
| ( ( ~ ~ ( ~ ( likes @ SV54 @ SV83 @ SV96 )
| ~ ~ ( ~ ! [SY113: $i] :
( ~ ( a1 @ SV96 @ SY113 )
| ( likes @ SV54 @ SV83 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( a2 @ SV96 @ SY114 )
| ( likes @ SV54 @ SV83 @ SY114 ) ) ) )
| ( very_much_likes @ SV54 @ SV83 @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(319,plain,
! [SV21: $i,SV84: $i,SV56: mu] :
( ( ( ~ ( likes @ SV56 @ cola @ SV84 ) )
= $true )
| ( ( likes @ SV56 @ pepsi @ SV84 )
= $true )
| ( ( a2 @ SV21 @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(320,plain,
! [SV85: mu,SV59: mu,SV24: $i] :
( ( ( ! [SY110: $i] :
( ~ ( a3 @ SV24 @ SY110 )
| ~ ( very_much_likes @ SV59 @ SV85 @ SY110 ) ) )
= $true )
| ( ( likes @ SV59 @ SV85 @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(321,plain,
! [SV86: $i,SV60: $i,SV25: $i] :
( ( ( ~ ( a1 @ SV25 @ SV60 )
| ~ ( a1 @ SV60 @ SV86 ) )
= $true )
| ( ( a1 @ SV25 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(322,plain,
! [SV87: $i,SV61: $i,SV26: $i] :
( ( ( ~ ( a1 @ SV26 @ SV61 )
| ~ ( a1 @ SV61 @ SV87 ) )
= $true )
| ( ( a1 @ SV26 @ SV87 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(323,plain,
! [SV88: $i,SV62: $i,SV27: $i] :
( ( ( ~ ( a2 @ SV27 @ SV62 )
| ~ ( a2 @ SV62 @ SV88 ) )
= $true )
| ( ( a2 @ SV27 @ SV88 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(324,plain,
! [SV89: $i,SV63: $i,SV28: $i] :
( ( ( ~ ( a3 @ SV28 @ SV63 )
| ~ ( a3 @ SV28 @ SV89 ) )
= $true )
| ( ( a3 @ SV63 @ SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(325,plain,
! [SV90: $i,SV64: $i,SV29: $i] :
( ( ( ~ ( a3 @ SV29 @ SV64 )
| ~ ( a3 @ SV64 @ SV90 ) )
= $true )
| ( ( a3 @ SV29 @ SV90 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(326,plain,
! [SV31: $i,SV65: mu,SV91: $i] :
( ( ( ~ ~ ! [SY111: $i] :
( ~ ( a1 @ SV91 @ SY111 )
| ~ ( likes @ SV65 @ pepsi @ SY111 ) ) )
= $true )
| ( ( likes @ SV65 @ cola @ SV91 )
= $true )
| ( ( a1 @ SV31 @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(327,plain,
! [SV92: $i,SV67: $i,SV33: $i] :
( ( ( ~ ( a1 @ SV33 @ SV67 )
| ~ ( a1 @ SV33 @ SV92 ) )
= $true )
| ( ( a1 @ SV67 @ SV92 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(328,plain,
! [SV68: mu,SV93: mu,SV34: $i] :
( ( ( ~ ( a3 @ SV34 @ ( sK7_SY112 @ SV93 @ SV68 @ SV34 ) )
| ( very_much_likes @ SV68 @ SV93 @ ( sK7_SY112 @ SV93 @ SV68 @ SV34 ) ) )
= $false )
| ( ( very_much_likes @ SV68 @ SV93 @ SV34 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[306]) ).
thf(329,plain,
! [SV94: $i,SV72: $i,SV38: $i] :
( ( ( ~ ( a2 @ SV38 @ SV72 )
| ~ ( a2 @ SV38 @ SV94 ) )
= $true )
| ( ( a2 @ SV72 @ SV94 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(330,plain,
! [SV39: $i,SV95: $i,SV73: mu] :
( ( ( ~ ( likes @ SV73 @ pepsi @ SV95 ) )
= $true )
| ( ( likes @ SV73 @ cola @ SV95 )
= $true )
| ( ( a2 @ SV39 @ SV95 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(331,plain,
! [SV3: $i,SV41: mu,SV74: $i] :
( ( ( ~ ! [SY103: $i] :
( ~ ( a1 @ SV74 @ SY103 )
| ~ ( likes @ SV41 @ cola @ SY103 ) ) )
= $false )
| ( ( likes @ SV41 @ pepsi @ SV74 )
= $true )
| ( ( a1 @ SV3 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(332,plain,
! [SV75: $i,SV42: $i,SV5: $i] :
( ( ( ~ ( a1 @ SV5 @ SV42 ) )
= $true )
| ( ( ~ ( a3 @ SV42 @ SV75 ) )
= $true )
| ( ( a3 @ SV5 @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(333,plain,
! [SV76: $i,SV44: $i,SV7: $i] :
( ( ( ~ ( a2 @ SV7 @ SV44 ) )
= $true )
| ( ( ~ ( a1 @ SV44 @ SV76 ) )
= $true )
| ( ( a1 @ SV7 @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(334,plain,
! [SV77: $i,SV46: $i,SV11: $i] :
( ( ( ~ ( a1 @ SV11 @ SV46 ) )
= $true )
| ( ( ~ ( a2 @ SV46 @ SV77 ) )
= $true )
| ( ( a2 @ SV11 @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(335,plain,
! [SV78: $i,SV48: $i,SV13: $i] :
( ( ( ~ ( a2 @ SV13 @ SV48 ) )
= $true )
| ( ( ~ ( a3 @ SV48 @ SV78 ) )
= $true )
| ( ( a3 @ SV13 @ SV78 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(336,plain,
! [SV79: $i,SV49: $i,SV14: $i] :
( ( ( ~ ( a2 @ SV14 @ SV49 ) )
= $true )
| ( ( ~ ( a2 @ SV49 @ SV79 ) )
= $true )
| ( ( a2 @ SV14 @ SV79 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(337,plain,
! [SV80: mu,SV50: mu,SV97: $i,SV15: $i] :
( ( ( ~ ( a1 @ SV15 @ SV97 )
| ~ ( likes @ SV50 @ SV80 @ SV97 ) )
= $true )
| ( ( possibly_likes @ SV50 @ SV80 @ SV15 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(338,plain,
! [SV81: mu,SV52: mu,SV98: $i,SV17: $i] :
( ( ( ~ ( a2 @ SV17 @ SV98 )
| ~ ( likes @ SV52 @ SV81 @ SV98 ) )
= $true )
| ( ( possibly_likes @ SV52 @ SV81 @ SV17 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(339,plain,
! [SV82: mu,SV53: mu,SV99: $i,SV18: $i] :
( ( ( ~ ( a3 @ SV18 @ SV99 )
| ~ ( likes @ SV53 @ SV82 @ SV99 ) )
= $true )
| ( ( possibly_likes @ SV53 @ SV82 @ SV18 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(340,plain,
! [SV19: $i,SV96: $i,SV83: mu,SV54: mu] :
( ( ( ~ ~ ( ~ ( likes @ SV54 @ SV83 @ SV96 )
| ~ ~ ( ~ ! [SY113: $i] :
( ~ ( a1 @ SV96 @ SY113 )
| ( likes @ SV54 @ SV83 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( a2 @ SV96 @ SY114 )
| ( likes @ SV54 @ SV83 @ SY114 ) ) ) ) )
= $true )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(341,plain,
! [SV21: $i,SV84: $i,SV56: mu] :
( ( ( likes @ SV56 @ cola @ SV84 )
= $false )
| ( ( likes @ SV56 @ pepsi @ SV84 )
= $true )
| ( ( a2 @ SV21 @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(342,plain,
! [SV85: mu,SV59: mu,SV100: $i,SV24: $i] :
( ( ( ~ ( a3 @ SV24 @ SV100 )
| ~ ( very_much_likes @ SV59 @ SV85 @ SV100 ) )
= $true )
| ( ( likes @ SV59 @ SV85 @ SV24 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(343,plain,
! [SV86: $i,SV60: $i,SV25: $i] :
( ( ( ~ ( a1 @ SV25 @ SV60 ) )
= $true )
| ( ( ~ ( a1 @ SV60 @ SV86 ) )
= $true )
| ( ( a1 @ SV25 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(344,plain,
! [SV87: $i,SV61: $i,SV26: $i] :
( ( ( ~ ( a1 @ SV26 @ SV61 ) )
= $true )
| ( ( ~ ( a1 @ SV61 @ SV87 ) )
= $true )
| ( ( a1 @ SV26 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(345,plain,
! [SV88: $i,SV62: $i,SV27: $i] :
( ( ( ~ ( a2 @ SV27 @ SV62 ) )
= $true )
| ( ( ~ ( a2 @ SV62 @ SV88 ) )
= $true )
| ( ( a2 @ SV27 @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(346,plain,
! [SV89: $i,SV63: $i,SV28: $i] :
( ( ( ~ ( a3 @ SV28 @ SV63 ) )
= $true )
| ( ( ~ ( a3 @ SV28 @ SV89 ) )
= $true )
| ( ( a3 @ SV63 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(347,plain,
! [SV90: $i,SV64: $i,SV29: $i] :
( ( ( ~ ( a3 @ SV29 @ SV64 ) )
= $true )
| ( ( ~ ( a3 @ SV64 @ SV90 ) )
= $true )
| ( ( a3 @ SV29 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(348,plain,
! [SV31: $i,SV65: mu,SV91: $i] :
( ( ( ~ ! [SY111: $i] :
( ~ ( a1 @ SV91 @ SY111 )
| ~ ( likes @ SV65 @ pepsi @ SY111 ) ) )
= $false )
| ( ( likes @ SV65 @ cola @ SV91 )
= $true )
| ( ( a1 @ SV31 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(349,plain,
! [SV92: $i,SV67: $i,SV33: $i] :
( ( ( ~ ( a1 @ SV33 @ SV67 ) )
= $true )
| ( ( ~ ( a1 @ SV33 @ SV92 ) )
= $true )
| ( ( a1 @ SV67 @ SV92 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(350,plain,
! [SV68: mu,SV93: mu,SV34: $i] :
( ( ( ~ ( a3 @ SV34 @ ( sK7_SY112 @ SV93 @ SV68 @ SV34 ) ) )
= $false )
| ( ( very_much_likes @ SV68 @ SV93 @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(351,plain,
! [SV34: $i,SV93: mu,SV68: mu] :
( ( ( very_much_likes @ SV68 @ SV93 @ ( sK7_SY112 @ SV93 @ SV68 @ SV34 ) )
= $false )
| ( ( very_much_likes @ SV68 @ SV93 @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[328]) ).
thf(352,plain,
! [SV94: $i,SV72: $i,SV38: $i] :
( ( ( ~ ( a2 @ SV38 @ SV72 ) )
= $true )
| ( ( ~ ( a2 @ SV38 @ SV94 ) )
= $true )
| ( ( a2 @ SV72 @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(353,plain,
! [SV39: $i,SV95: $i,SV73: mu] :
( ( ( likes @ SV73 @ pepsi @ SV95 )
= $false )
| ( ( likes @ SV73 @ cola @ SV95 )
= $true )
| ( ( a2 @ SV39 @ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(354,plain,
! [SV3: $i,SV41: mu,SV74: $i] :
( ( ( ! [SY103: $i] :
( ~ ( a1 @ SV74 @ SY103 )
| ~ ( likes @ SV41 @ cola @ SY103 ) ) )
= $true )
| ( ( likes @ SV41 @ pepsi @ SV74 )
= $true )
| ( ( a1 @ SV3 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(355,plain,
! [SV75: $i,SV42: $i,SV5: $i] :
( ( ( a1 @ SV5 @ SV42 )
= $false )
| ( ( ~ ( a3 @ SV42 @ SV75 ) )
= $true )
| ( ( a3 @ SV5 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(356,plain,
! [SV76: $i,SV44: $i,SV7: $i] :
( ( ( a2 @ SV7 @ SV44 )
= $false )
| ( ( ~ ( a1 @ SV44 @ SV76 ) )
= $true )
| ( ( a1 @ SV7 @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(357,plain,
! [SV77: $i,SV46: $i,SV11: $i] :
( ( ( a1 @ SV11 @ SV46 )
= $false )
| ( ( ~ ( a2 @ SV46 @ SV77 ) )
= $true )
| ( ( a2 @ SV11 @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(358,plain,
! [SV78: $i,SV48: $i,SV13: $i] :
( ( ( a2 @ SV13 @ SV48 )
= $false )
| ( ( ~ ( a3 @ SV48 @ SV78 ) )
= $true )
| ( ( a3 @ SV13 @ SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(359,plain,
! [SV79: $i,SV49: $i,SV14: $i] :
( ( ( a2 @ SV14 @ SV49 )
= $false )
| ( ( ~ ( a2 @ SV49 @ SV79 ) )
= $true )
| ( ( a2 @ SV14 @ SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(360,plain,
! [SV80: mu,SV50: mu,SV97: $i,SV15: $i] :
( ( ( ~ ( a1 @ SV15 @ SV97 ) )
= $true )
| ( ( ~ ( likes @ SV50 @ SV80 @ SV97 ) )
= $true )
| ( ( possibly_likes @ SV50 @ SV80 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(361,plain,
! [SV81: mu,SV52: mu,SV98: $i,SV17: $i] :
( ( ( ~ ( a2 @ SV17 @ SV98 ) )
= $true )
| ( ( ~ ( likes @ SV52 @ SV81 @ SV98 ) )
= $true )
| ( ( possibly_likes @ SV52 @ SV81 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(362,plain,
! [SV82: mu,SV53: mu,SV99: $i,SV18: $i] :
( ( ( ~ ( a3 @ SV18 @ SV99 ) )
= $true )
| ( ( ~ ( likes @ SV53 @ SV82 @ SV99 ) )
= $true )
| ( ( possibly_likes @ SV53 @ SV82 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(363,plain,
! [SV19: $i,SV96: $i,SV83: mu,SV54: mu] :
( ( ( ~ ( ~ ( likes @ SV54 @ SV83 @ SV96 )
| ~ ~ ( ~ ! [SY113: $i] :
( ~ ( a1 @ SV96 @ SY113 )
| ( likes @ SV54 @ SV83 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( a2 @ SV96 @ SY114 )
| ( likes @ SV54 @ SV83 @ SY114 ) ) ) ) )
= $false )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(364,plain,
! [SV85: mu,SV59: mu,SV100: $i,SV24: $i] :
( ( ( ~ ( a3 @ SV24 @ SV100 ) )
= $true )
| ( ( ~ ( very_much_likes @ SV59 @ SV85 @ SV100 ) )
= $true )
| ( ( likes @ SV59 @ SV85 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(365,plain,
! [SV86: $i,SV60: $i,SV25: $i] :
( ( ( a1 @ SV25 @ SV60 )
= $false )
| ( ( ~ ( a1 @ SV60 @ SV86 ) )
= $true )
| ( ( a1 @ SV25 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(366,plain,
! [SV87: $i,SV61: $i,SV26: $i] :
( ( ( a1 @ SV26 @ SV61 )
= $false )
| ( ( ~ ( a1 @ SV61 @ SV87 ) )
= $true )
| ( ( a1 @ SV26 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(367,plain,
! [SV88: $i,SV62: $i,SV27: $i] :
( ( ( a2 @ SV27 @ SV62 )
= $false )
| ( ( ~ ( a2 @ SV62 @ SV88 ) )
= $true )
| ( ( a2 @ SV27 @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(368,plain,
! [SV89: $i,SV63: $i,SV28: $i] :
( ( ( a3 @ SV28 @ SV63 )
= $false )
| ( ( ~ ( a3 @ SV28 @ SV89 ) )
= $true )
| ( ( a3 @ SV63 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(369,plain,
! [SV90: $i,SV64: $i,SV29: $i] :
( ( ( a3 @ SV29 @ SV64 )
= $false )
| ( ( ~ ( a3 @ SV64 @ SV90 ) )
= $true )
| ( ( a3 @ SV29 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(370,plain,
! [SV31: $i,SV65: mu,SV91: $i] :
( ( ( ! [SY111: $i] :
( ~ ( a1 @ SV91 @ SY111 )
| ~ ( likes @ SV65 @ pepsi @ SY111 ) ) )
= $true )
| ( ( likes @ SV65 @ cola @ SV91 )
= $true )
| ( ( a1 @ SV31 @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(371,plain,
! [SV92: $i,SV67: $i,SV33: $i] :
( ( ( a1 @ SV33 @ SV67 )
= $false )
| ( ( ~ ( a1 @ SV33 @ SV92 ) )
= $true )
| ( ( a1 @ SV67 @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(372,plain,
! [SV68: mu,SV93: mu,SV34: $i] :
( ( ( a3 @ SV34 @ ( sK7_SY112 @ SV93 @ SV68 @ SV34 ) )
= $true )
| ( ( very_much_likes @ SV68 @ SV93 @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(373,plain,
! [SV94: $i,SV72: $i,SV38: $i] :
( ( ( a2 @ SV38 @ SV72 )
= $false )
| ( ( ~ ( a2 @ SV38 @ SV94 ) )
= $true )
| ( ( a2 @ SV72 @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(374,plain,
! [SV3: $i,SV41: mu,SV101: $i,SV74: $i] :
( ( ( ~ ( a1 @ SV74 @ SV101 )
| ~ ( likes @ SV41 @ cola @ SV101 ) )
= $true )
| ( ( likes @ SV41 @ pepsi @ SV74 )
= $true )
| ( ( a1 @ SV3 @ SV74 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(375,plain,
! [SV5: $i,SV75: $i,SV42: $i] :
( ( ( a3 @ SV42 @ SV75 )
= $false )
| ( ( a1 @ SV5 @ SV42 )
= $false )
| ( ( a3 @ SV5 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(376,plain,
! [SV7: $i,SV76: $i,SV44: $i] :
( ( ( a1 @ SV44 @ SV76 )
= $false )
| ( ( a2 @ SV7 @ SV44 )
= $false )
| ( ( a1 @ SV7 @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(377,plain,
! [SV11: $i,SV77: $i,SV46: $i] :
( ( ( a2 @ SV46 @ SV77 )
= $false )
| ( ( a1 @ SV11 @ SV46 )
= $false )
| ( ( a2 @ SV11 @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(378,plain,
! [SV13: $i,SV78: $i,SV48: $i] :
( ( ( a3 @ SV48 @ SV78 )
= $false )
| ( ( a2 @ SV13 @ SV48 )
= $false )
| ( ( a3 @ SV13 @ SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(379,plain,
! [SV14: $i,SV79: $i,SV49: $i] :
( ( ( a2 @ SV49 @ SV79 )
= $false )
| ( ( a2 @ SV14 @ SV49 )
= $false )
| ( ( a2 @ SV14 @ SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(380,plain,
! [SV80: mu,SV50: mu,SV97: $i,SV15: $i] :
( ( ( a1 @ SV15 @ SV97 )
= $false )
| ( ( ~ ( likes @ SV50 @ SV80 @ SV97 ) )
= $true )
| ( ( possibly_likes @ SV50 @ SV80 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(381,plain,
! [SV81: mu,SV52: mu,SV98: $i,SV17: $i] :
( ( ( a2 @ SV17 @ SV98 )
= $false )
| ( ( ~ ( likes @ SV52 @ SV81 @ SV98 ) )
= $true )
| ( ( possibly_likes @ SV52 @ SV81 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(382,plain,
! [SV82: mu,SV53: mu,SV99: $i,SV18: $i] :
( ( ( a3 @ SV18 @ SV99 )
= $false )
| ( ( ~ ( likes @ SV53 @ SV82 @ SV99 ) )
= $true )
| ( ( possibly_likes @ SV53 @ SV82 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(383,plain,
! [SV19: $i,SV96: $i,SV83: mu,SV54: mu] :
( ( ( ~ ( likes @ SV54 @ SV83 @ SV96 )
| ~ ~ ( ~ ! [SY113: $i] :
( ~ ( a1 @ SV96 @ SY113 )
| ( likes @ SV54 @ SV83 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( a2 @ SV96 @ SY114 )
| ( likes @ SV54 @ SV83 @ SY114 ) ) ) )
= $true )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(384,plain,
! [SV85: mu,SV59: mu,SV100: $i,SV24: $i] :
( ( ( a3 @ SV24 @ SV100 )
= $false )
| ( ( ~ ( very_much_likes @ SV59 @ SV85 @ SV100 ) )
= $true )
| ( ( likes @ SV59 @ SV85 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(385,plain,
! [SV25: $i,SV86: $i,SV60: $i] :
( ( ( a1 @ SV60 @ SV86 )
= $false )
| ( ( a1 @ SV25 @ SV60 )
= $false )
| ( ( a1 @ SV25 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(386,plain,
! [SV26: $i,SV87: $i,SV61: $i] :
( ( ( a1 @ SV61 @ SV87 )
= $false )
| ( ( a1 @ SV26 @ SV61 )
= $false )
| ( ( a1 @ SV26 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(387,plain,
! [SV27: $i,SV88: $i,SV62: $i] :
( ( ( a2 @ SV62 @ SV88 )
= $false )
| ( ( a2 @ SV27 @ SV62 )
= $false )
| ( ( a2 @ SV27 @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(388,plain,
! [SV63: $i,SV89: $i,SV28: $i] :
( ( ( a3 @ SV28 @ SV89 )
= $false )
| ( ( a3 @ SV28 @ SV63 )
= $false )
| ( ( a3 @ SV63 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(389,plain,
! [SV29: $i,SV90: $i,SV64: $i] :
( ( ( a3 @ SV64 @ SV90 )
= $false )
| ( ( a3 @ SV29 @ SV64 )
= $false )
| ( ( a3 @ SV29 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(390,plain,
! [SV31: $i,SV65: mu,SV102: $i,SV91: $i] :
( ( ( ~ ( a1 @ SV91 @ SV102 )
| ~ ( likes @ SV65 @ pepsi @ SV102 ) )
= $true )
| ( ( likes @ SV65 @ cola @ SV91 )
= $true )
| ( ( a1 @ SV31 @ SV91 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(391,plain,
! [SV67: $i,SV92: $i,SV33: $i] :
( ( ( a1 @ SV33 @ SV92 )
= $false )
| ( ( a1 @ SV33 @ SV67 )
= $false )
| ( ( a1 @ SV67 @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(392,plain,
! [SV72: $i,SV94: $i,SV38: $i] :
( ( ( a2 @ SV38 @ SV94 )
= $false )
| ( ( a2 @ SV38 @ SV72 )
= $false )
| ( ( a2 @ SV72 @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(393,plain,
! [SV3: $i,SV41: mu,SV101: $i,SV74: $i] :
( ( ( ~ ( a1 @ SV74 @ SV101 ) )
= $true )
| ( ( ~ ( likes @ SV41 @ cola @ SV101 ) )
= $true )
| ( ( likes @ SV41 @ pepsi @ SV74 )
= $true )
| ( ( a1 @ SV3 @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[374]) ).
thf(394,plain,
! [SV15: $i,SV97: $i,SV80: mu,SV50: mu] :
( ( ( likes @ SV50 @ SV80 @ SV97 )
= $false )
| ( ( a1 @ SV15 @ SV97 )
= $false )
| ( ( possibly_likes @ SV50 @ SV80 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(395,plain,
! [SV17: $i,SV98: $i,SV81: mu,SV52: mu] :
( ( ( likes @ SV52 @ SV81 @ SV98 )
= $false )
| ( ( a2 @ SV17 @ SV98 )
= $false )
| ( ( possibly_likes @ SV52 @ SV81 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(396,plain,
! [SV18: $i,SV99: $i,SV82: mu,SV53: mu] :
( ( ( likes @ SV53 @ SV82 @ SV99 )
= $false )
| ( ( a3 @ SV18 @ SV99 )
= $false )
| ( ( possibly_likes @ SV53 @ SV82 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(397,plain,
! [SV19: $i,SV96: $i,SV83: mu,SV54: mu] :
( ( ( ~ ( likes @ SV54 @ SV83 @ SV96 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY113: $i] :
( ~ ( a1 @ SV96 @ SY113 )
| ( likes @ SV54 @ SV83 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( a2 @ SV96 @ SY114 )
| ( likes @ SV54 @ SV83 @ SY114 ) ) ) )
= $true )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(398,plain,
! [SV24: $i,SV100: $i,SV85: mu,SV59: mu] :
( ( ( very_much_likes @ SV59 @ SV85 @ SV100 )
= $false )
| ( ( a3 @ SV24 @ SV100 )
= $false )
| ( ( likes @ SV59 @ SV85 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(399,plain,
! [SV31: $i,SV65: mu,SV102: $i,SV91: $i] :
( ( ( ~ ( a1 @ SV91 @ SV102 ) )
= $true )
| ( ( ~ ( likes @ SV65 @ pepsi @ SV102 ) )
= $true )
| ( ( likes @ SV65 @ cola @ SV91 )
= $true )
| ( ( a1 @ SV31 @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(400,plain,
! [SV3: $i,SV41: mu,SV101: $i,SV74: $i] :
( ( ( a1 @ SV74 @ SV101 )
= $false )
| ( ( ~ ( likes @ SV41 @ cola @ SV101 ) )
= $true )
| ( ( likes @ SV41 @ pepsi @ SV74 )
= $true )
| ( ( a1 @ SV3 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(401,plain,
! [SV19: $i,SV96: $i,SV83: mu,SV54: mu] :
( ( ( likes @ SV54 @ SV83 @ SV96 )
= $false )
| ( ( ~ ~ ( ~ ! [SY113: $i] :
( ~ ( a1 @ SV96 @ SY113 )
| ( likes @ SV54 @ SV83 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( a2 @ SV96 @ SY114 )
| ( likes @ SV54 @ SV83 @ SY114 ) ) ) )
= $true )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(402,plain,
! [SV31: $i,SV65: mu,SV102: $i,SV91: $i] :
( ( ( a1 @ SV91 @ SV102 )
= $false )
| ( ( ~ ( likes @ SV65 @ pepsi @ SV102 ) )
= $true )
| ( ( likes @ SV65 @ cola @ SV91 )
= $true )
| ( ( a1 @ SV31 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(403,plain,
! [SV3: $i,SV74: $i,SV101: $i,SV41: mu] :
( ( ( likes @ SV41 @ cola @ SV101 )
= $false )
| ( ( a1 @ SV74 @ SV101 )
= $false )
| ( ( likes @ SV41 @ pepsi @ SV74 )
= $true )
| ( ( a1 @ SV3 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(404,plain,
! [SV19: $i,SV83: mu,SV54: mu,SV96: $i] :
( ( ( ~ ( ~ ! [SY113: $i] :
( ~ ( a1 @ SV96 @ SY113 )
| ( likes @ SV54 @ SV83 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( a2 @ SV96 @ SY114 )
| ( likes @ SV54 @ SV83 @ SY114 ) ) ) )
= $false )
| ( ( likes @ SV54 @ SV83 @ SV96 )
= $false )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(405,plain,
! [SV31: $i,SV91: $i,SV102: $i,SV65: mu] :
( ( ( likes @ SV65 @ pepsi @ SV102 )
= $false )
| ( ( a1 @ SV91 @ SV102 )
= $false )
| ( ( likes @ SV65 @ cola @ SV91 )
= $true )
| ( ( a1 @ SV31 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(406,plain,
! [SV19: $i,SV83: mu,SV54: mu,SV96: $i] :
( ( ( ~ ! [SY113: $i] :
( ~ ( a1 @ SV96 @ SY113 )
| ( likes @ SV54 @ SV83 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( a2 @ SV96 @ SY114 )
| ( likes @ SV54 @ SV83 @ SY114 ) ) )
= $true )
| ( ( likes @ SV54 @ SV83 @ SV96 )
= $false )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[404]) ).
thf(407,plain,
! [SV19: $i,SV83: mu,SV54: mu,SV96: $i] :
( ( ( ~ ! [SY113: $i] :
( ~ ( a1 @ SV96 @ SY113 )
| ( likes @ SV54 @ SV83 @ SY113 ) ) )
= $true )
| ( ( ~ ! [SY114: $i] :
( ~ ( a2 @ SV96 @ SY114 )
| ( likes @ SV54 @ SV83 @ SY114 ) ) )
= $true )
| ( ( likes @ SV54 @ SV83 @ SV96 )
= $false )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[406]) ).
thf(408,plain,
! [SV19: $i,SV83: mu,SV54: mu,SV96: $i] :
( ( ( ! [SY113: $i] :
( ~ ( a1 @ SV96 @ SY113 )
| ( likes @ SV54 @ SV83 @ SY113 ) ) )
= $false )
| ( ( ~ ! [SY114: $i] :
( ~ ( a2 @ SV96 @ SY114 )
| ( likes @ SV54 @ SV83 @ SY114 ) ) )
= $true )
| ( ( likes @ SV54 @ SV83 @ SV96 )
= $false )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(409,plain,
! [SV54: mu,SV83: mu,SV19: $i,SV96: $i] :
( ( ( ~ ( a1 @ SV96 @ ( sK8_SY113 @ SV19 @ SV83 @ SV54 @ SV96 ) )
| ( likes @ SV54 @ SV83 @ ( sK8_SY113 @ SV19 @ SV83 @ SV54 @ SV96 ) ) )
= $false )
| ( ( ~ ! [SY114: $i] :
( ~ ( a2 @ SV96 @ SY114 )
| ( likes @ SV54 @ SV83 @ SY114 ) ) )
= $true )
| ( ( likes @ SV54 @ SV83 @ SV96 )
= $false )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[408]) ).
thf(410,plain,
! [SV54: mu,SV83: mu,SV19: $i,SV96: $i] :
( ( ( ~ ( a1 @ SV96 @ ( sK8_SY113 @ SV19 @ SV83 @ SV54 @ SV96 ) ) )
= $false )
| ( ( ~ ! [SY114: $i] :
( ~ ( a2 @ SV96 @ SY114 )
| ( likes @ SV54 @ SV83 @ SY114 ) ) )
= $true )
| ( ( likes @ SV54 @ SV83 @ SV96 )
= $false )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[409]) ).
thf(411,plain,
! [SV96: $i,SV19: $i,SV83: mu,SV54: mu] :
( ( ( likes @ SV54 @ SV83 @ ( sK8_SY113 @ SV19 @ SV83 @ SV54 @ SV96 ) )
= $false )
| ( ( ~ ! [SY114: $i] :
( ~ ( a2 @ SV96 @ SY114 )
| ( likes @ SV54 @ SV83 @ SY114 ) ) )
= $true )
| ( ( likes @ SV54 @ SV83 @ SV96 )
= $false )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[409]) ).
thf(412,plain,
! [SV54: mu,SV83: mu,SV19: $i,SV96: $i] :
( ( ( a1 @ SV96 @ ( sK8_SY113 @ SV19 @ SV83 @ SV54 @ SV96 ) )
= $true )
| ( ( ~ ! [SY114: $i] :
( ~ ( a2 @ SV96 @ SY114 )
| ( likes @ SV54 @ SV83 @ SY114 ) ) )
= $true )
| ( ( likes @ SV54 @ SV83 @ SV96 )
= $false )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(413,plain,
! [SV19: $i,SV83: mu,SV54: mu,SV96: $i] :
( ( ( ! [SY114: $i] :
( ~ ( a2 @ SV96 @ SY114 )
| ( likes @ SV54 @ SV83 @ SY114 ) ) )
= $false )
| ( ( likes @ SV54 @ SV83 @ ( sK8_SY113 @ SV19 @ SV83 @ SV54 @ SV96 ) )
= $false )
| ( ( likes @ SV54 @ SV83 @ SV96 )
= $false )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(414,plain,
! [SV19: $i,SV83: mu,SV54: mu,SV96: $i] :
( ( ( ! [SY114: $i] :
( ~ ( a2 @ SV96 @ SY114 )
| ( likes @ SV54 @ SV83 @ SY114 ) ) )
= $false )
| ( ( a1 @ SV96 @ ( sK8_SY113 @ SV19 @ SV83 @ SV54 @ SV96 ) )
= $true )
| ( ( likes @ SV54 @ SV83 @ SV96 )
= $false )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(415,plain,
! [SV54: mu,SV83: mu,SV19: $i,SV96: $i] :
( ( ( ~ ( a2 @ SV96 @ ( sK9_SY114 @ SV19 @ SV83 @ SV54 @ SV96 ) )
| ( likes @ SV54 @ SV83 @ ( sK9_SY114 @ SV19 @ SV83 @ SV54 @ SV96 ) ) )
= $false )
| ( ( likes @ SV54 @ SV83 @ ( sK8_SY113 @ SV19 @ SV83 @ SV54 @ SV96 ) )
= $false )
| ( ( likes @ SV54 @ SV83 @ SV96 )
= $false )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[413]) ).
thf(416,plain,
! [SV54: mu,SV83: mu,SV19: $i,SV96: $i] :
( ( ( ~ ( a2 @ SV96 @ ( sK10_SY114 @ SV19 @ SV83 @ SV54 @ SV96 ) )
| ( likes @ SV54 @ SV83 @ ( sK10_SY114 @ SV19 @ SV83 @ SV54 @ SV96 ) ) )
= $false )
| ( ( a1 @ SV96 @ ( sK8_SY113 @ SV19 @ SV83 @ SV54 @ SV96 ) )
= $true )
| ( ( likes @ SV54 @ SV83 @ SV96 )
= $false )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[414]) ).
thf(417,plain,
! [SV54: mu,SV83: mu,SV19: $i,SV96: $i] :
( ( ( ~ ( a2 @ SV96 @ ( sK9_SY114 @ SV19 @ SV83 @ SV54 @ SV96 ) ) )
= $false )
| ( ( likes @ SV54 @ SV83 @ ( sK8_SY113 @ SV19 @ SV83 @ SV54 @ SV96 ) )
= $false )
| ( ( likes @ SV54 @ SV83 @ SV96 )
= $false )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(418,plain,
! [SV96: $i,SV19: $i,SV83: mu,SV54: mu] :
( ( ( likes @ SV54 @ SV83 @ ( sK9_SY114 @ SV19 @ SV83 @ SV54 @ SV96 ) )
= $false )
| ( ( likes @ SV54 @ SV83 @ ( sK8_SY113 @ SV19 @ SV83 @ SV54 @ SV96 ) )
= $false )
| ( ( likes @ SV54 @ SV83 @ SV96 )
= $false )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(419,plain,
! [SV54: mu,SV83: mu,SV19: $i,SV96: $i] :
( ( ( ~ ( a2 @ SV96 @ ( sK10_SY114 @ SV19 @ SV83 @ SV54 @ SV96 ) ) )
= $false )
| ( ( a1 @ SV96 @ ( sK8_SY113 @ SV19 @ SV83 @ SV54 @ SV96 ) )
= $true )
| ( ( likes @ SV54 @ SV83 @ SV96 )
= $false )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(420,plain,
! [SV96: $i,SV19: $i,SV83: mu,SV54: mu] :
( ( ( likes @ SV54 @ SV83 @ ( sK10_SY114 @ SV19 @ SV83 @ SV54 @ SV96 ) )
= $false )
| ( ( a1 @ SV96 @ ( sK8_SY113 @ SV19 @ SV83 @ SV54 @ SV96 ) )
= $true )
| ( ( likes @ SV54 @ SV83 @ SV96 )
= $false )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(421,plain,
! [SV54: mu,SV83: mu,SV19: $i,SV96: $i] :
( ( ( a2 @ SV96 @ ( sK9_SY114 @ SV19 @ SV83 @ SV54 @ SV96 ) )
= $true )
| ( ( likes @ SV54 @ SV83 @ ( sK8_SY113 @ SV19 @ SV83 @ SV54 @ SV96 ) )
= $false )
| ( ( likes @ SV54 @ SV83 @ SV96 )
= $false )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(422,plain,
! [SV54: mu,SV83: mu,SV19: $i,SV96: $i] :
( ( ( a2 @ SV96 @ ( sK10_SY114 @ SV19 @ SV83 @ SV54 @ SV96 ) )
= $true )
| ( ( a1 @ SV96 @ ( sK8_SY113 @ SV19 @ SV83 @ SV54 @ SV96 ) )
= $true )
| ( ( likes @ SV54 @ SV83 @ SV96 )
= $false )
| ( ( very_much_likes @ SV54 @ SV83 @ SV96 )
= $true )
| ( ( a3 @ SV19 @ SV96 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[419]) ).
thf(423,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[197,422,421,420,418,405,403,398,396,395,394,392,391,389,388,387,386,385,379,378,377,376,375,372,353,351,341,303,302,287,286,280,279,278,275,265,264,262,258,254,250,249,247,245,243,242]) ).
thf(424,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[423]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : AGT038^1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 4 05:09:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.36
% 0.19/0.36 No.of.Axioms: 39
% 0.19/0.36
% 0.19/0.36 Length.of.Defs: 5677
% 0.19/0.36
% 0.19/0.36 Contains.Choice.Funs: false
% 0.19/0.38 (rf:0,axioms:39,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:41,loop_count:0,foatp_calls:0,translation:fof_full)....................
% 0.40/0.59
% 0.40/0.59 ********************************
% 0.40/0.59 * All subproblems solved! *
% 0.40/0.59 ********************************
% 0.40/0.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:39,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:423,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.45/0.64
% 0.45/0.64 %**** Beginning of derivation protocol ****
% 0.45/0.64 % SZS output start CNFRefutation
% See solution above
% 0.45/0.65
% 0.45/0.65 %**** End of derivation protocol ****
% 0.45/0.65 %**** no. of clauses in derivation: 424 ****
% 0.45/0.65 %**** clause counter: 423 ****
% 0.45/0.65
% 0.45/0.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:39,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:423,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------