%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : AGT031^1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:07:10 AM UTC 2026
% Result : Theorem 2.78s 0.73s
% Output : CNFRefutation 2.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 73
% Syntax : Number of formulae : 482 ( 261 unt; 0 typ; 33 def)
% Number of atoms : 2904 ( 758 equ; 0 cnn)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 4882 ( 886 ~; 722 |; 33 &;3195 @)
% ( 0 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 65 ( 65 >; 0 *; 0 +; 0 <<)
% Number of symbols : 57 ( 54 usr; 8 con; 0-4 aty)
% Number of variables : 1344 ( 73 ^;1259 !; 12 ?;1344 :)
% 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_SY812,type,
sK10_SY812: $i > mu > mu > $i > $i ).
thf(tp_sK1_SY22,type,
sK1_SY22: $i ).
thf(tp_sK2_SY713,type,
sK2_SY713: $i > $i ).
thf(tp_sK3_SY714,type,
sK3_SY714: $i > $i ).
thf(tp_sK4_SY753,type,
sK4_SY753: $i > $i ).
thf(tp_sK5_SY754,type,
sK5_SY754: $i > $i ).
thf(tp_sK6_SY764,type,
sK6_SY764: $i > $i ).
thf(tp_sK7_SY806,type,
sK7_SY806: mu > mu > $i > $i ).
thf(tp_sK8_SY811,type,
sK8_SY811: $i > mu > mu > $i > $i ).
thf(tp_sK9_SY812,type,
sK9_SY812: $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_def) ).
thf(mand,definition,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ~ ( R @ W @ V )
| ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox) ).
thf(mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mcountersatisfiable) ).
thf(mdia,definition,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia) ).
thf(meq_ind,definition,
( meq_ind
= ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meq_ind) ).
thf(meq_prop,definition,
( meq_prop
= ( ^ [X: $i > $o,Y: $i > $o,W: $i] :
( ( X @ W )
= ( Y @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meq_prop) ).
thf(mequiv,definition,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv) ).
thf(meuclidean,definition,
( meuclidean
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( R @ T @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meuclidean) ).
thf(mexists_ind,definition,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_ind) ).
thf(mexists_prop,definition,
( mexists_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o] :
( mnot
@ ( mforall_prop
@ ^ [P: $i > $o] : ( mnot @ ( Phi @ P ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_prop) ).
thf(mfalse,definition,
( mfalse
= ( mnot @ mtrue ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfalse) ).
thf(mforall_ind,definition,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind) ).
thf(mforall_prop,definition,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_prop) ).
thf(mfunctional,definition,
( mfunctional
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] :
( ( R @ S @ T )
& ! [U: $i] :
( ( R @ S @ U )
=> ( T = U ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfunctional) ).
thf(mimplied,definition,
( mimplied
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplied) ).
thf(mimplies,definition,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies) ).
thf(minvalid,definition,
( minvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minvalid) ).
thf(mnot,definition,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor) ).
thf(mpartially_functional,definition,
( mpartially_functional
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( T = U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mpartially_functional) ).
thf(mreflexive,definition,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mreflexive) ).
thf(msatisfiable,definition,
( msatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',msatisfiable) ).
thf(mserial,definition,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mserial) ).
thf(msymmetric,definition,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',msymmetric) ).
thf(mtransitive,definition,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtransitive) ).
thf(mtrue,definition,
( mtrue
= ( ^ [W: $i] : $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtrue) ).
thf(mvalid,definition,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid) ).
thf(mweakly_connected,definition,
( mweakly_connected
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( ( R @ T @ U )
| ( T = U )
| ( R @ U @ T ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_connected) ).
thf(mweakly_dense,definition,
( mweakly_dense
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( R @ S @ T )
=> ? [U: $i] :
( ( R @ S @ U )
& ( R @ U @ T ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_dense) ).
thf(mweakly_directed,definition,
( mweakly_directed
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ? [V: $i] :
( ( R @ T @ V )
& ( R @ U @ V ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mweakly_directed) ).
thf(mxor,definition,
( mxor
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mxor) ).
thf(subrel,definition,
( subrel
= ( ^ [R1: $i > $i > $o,R2: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R1 @ X @ Y )
=> ( R2 @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subrel_def) ).
thf(1,axiom,
meuclidean @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_5_a3) ).
thf(2,axiom,
meuclidean @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_5_a2) ).
thf(3,axiom,
meuclidean @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_5_a1) ).
thf(4,axiom,
cond4s @ a3 @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a3_a3) ).
thf(5,axiom,
cond4s @ a2 @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a3_a2) ).
thf(6,axiom,
cond4s @ a1 @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a3_a1) ).
thf(7,axiom,
cond4s @ a2 @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a2_a3) ).
thf(8,axiom,
cond4s @ a2 @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a2_a2) ).
thf(9,axiom,
cond4s @ a2 @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a2_a1) ).
thf(10,axiom,
cond4s @ a1 @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a1_a3) ).
thf(11,axiom,
cond4s @ a1 @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a1_a2) ).
thf(12,axiom,
cond4s @ a1 @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_Is_a1_a1) ).
thf(13,axiom,
subrel @ a2 @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_a2_a3) ).
thf(14,axiom,
subrel @ a1 @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_a1_a3) ).
thf(15,axiom,
subrel @ a1 @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_a1_a2) ).
thf(16,axiom,
mserial @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a3) ).
thf(17,axiom,
mserial @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a2) ).
thf(18,axiom,
mserial @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a1) ).
thf(19,axiom,
msymmetric @ a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a3) ).
thf(20,axiom,
msymmetric @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a2) ).
thf(21,axiom,
msymmetric @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a1) ).
thf(22,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mdia @ a3 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_5) ).
thf(23,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mdia @ a2 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_4) ).
thf(24,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mdia @ a1 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_3) ).
thf(25,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ X @ Y ) ) @ ( likes @ X @ Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_2) ).
thf(26,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mbox @ a3 @ ( very_much_likes @ X @ Y ) ) @ ( very_much_likes @ X @ Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_1) ).
thf(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
@ ( mexists_ind
@ ^ [X: mu] :
( mexists_ind
@ ^ [Y: mu] : ( very_much_likes @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(41,negated_conjecture,
( ( mvalid
@ ( mexists_ind
@ ^ [X: mu] :
( mexists_ind
@ ^ [Y: mu] : ( very_much_likes @ X @ Y ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[40]) ).
thf(42,plain,
( ( ! [SY22: $i] :
~ ! [SY23: mu] :
~ ~ ! [SY24: mu] :
~ ( very_much_likes @ SY23 @ SY24 @ SY22 ) )
= $false ),
inference(unfold_def,[status(thm)],[41,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(43,plain,
( ( ! [SY28: $i,SY29: $i,SY30: $i] :
( ( ( a3 @ SY28 @ SY29 )
& ( a3 @ SY28 @ SY30 ) )
=> ( a3 @ SY29 @ SY30 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(44,plain,
( ( ! [SY34: $i,SY35: $i,SY36: $i] :
( ( ( a2 @ SY34 @ SY35 )
& ( a2 @ SY34 @ SY36 ) )
=> ( a2 @ SY35 @ SY36 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(45,plain,
( ( ! [SY40: $i,SY41: $i,SY42: $i] :
( ( ( a1 @ SY40 @ SY41 )
& ( a1 @ SY40 @ SY42 ) )
=> ( a1 @ SY41 @ SY42 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(46,plain,
( ( ! [SY50: $i,SY51: $i,SY52: $i] :
( ( ( a3 @ SY50 @ SY51 )
& ( a3 @ SY51 @ SY52 ) )
=> ( a3 @ SY50 @ SY52 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(47,plain,
( ( ! [SY60: $i,SY61: $i,SY62: $i] :
( ( ( a2 @ SY60 @ SY61 )
& ( a2 @ SY61 @ SY62 ) )
=> ( a2 @ SY60 @ SY62 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(48,plain,
( ( ! [SY70: $i,SY71: $i,SY72: $i] :
( ( ( a1 @ SY70 @ SY71 )
& ( a1 @ SY71 @ SY72 ) )
=> ( a1 @ SY70 @ SY72 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(49,plain,
( ( ! [SY80: $i,SY81: $i,SY82: $i] :
( ( ( a2 @ SY80 @ SY81 )
& ( a3 @ SY81 @ SY82 ) )
=> ( a3 @ SY80 @ SY82 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(50,plain,
( ( ! [SY90: $i,SY91: $i,SY92: $i] :
( ( ( a2 @ SY90 @ SY91 )
& ( a2 @ SY91 @ SY92 ) )
=> ( a2 @ SY90 @ SY92 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(51,plain,
( ( ! [SY100: $i,SY101: $i,SY102: $i] :
( ( ( a2 @ SY100 @ SY101 )
& ( a1 @ SY101 @ SY102 ) )
=> ( a1 @ SY100 @ SY102 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(52,plain,
( ( ! [SY110: $i,SY111: $i,SY112: $i] :
( ( ( a1 @ SY110 @ SY111 )
& ( a3 @ SY111 @ SY112 ) )
=> ( a3 @ SY110 @ SY112 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(53,plain,
( ( ! [SY120: $i,SY121: $i,SY122: $i] :
( ( ( a1 @ SY120 @ SY121 )
& ( a2 @ SY121 @ SY122 ) )
=> ( a2 @ SY120 @ SY122 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(54,plain,
( ( ! [SY130: $i,SY131: $i,SY132: $i] :
( ( ( a1 @ SY130 @ SY131 )
& ( a1 @ SY131 @ SY132 ) )
=> ( a1 @ SY130 @ SY132 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(55,plain,
( ( ! [SY139: $i,SY140: $i] :
( ( a2 @ SY139 @ SY140 )
=> ( a3 @ SY139 @ SY140 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(56,plain,
( ( ! [SY146: $i,SY147: $i] :
( ( a1 @ SY146 @ SY147 )
=> ( a3 @ SY146 @ SY147 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(57,plain,
( ( ! [SY153: $i,SY154: $i] :
( ( a1 @ SY153 @ SY154 )
=> ( a2 @ SY153 @ SY154 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(58,plain,
( ( ! [SY157: $i] :
? [SY158: $i] : ( a3 @ SY157 @ SY158 ) )
= $true ),
inference(unfold_def,[status(thm)],[16,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(59,plain,
( ( ! [SY161: $i] :
? [SY162: $i] : ( a2 @ SY161 @ SY162 ) )
= $true ),
inference(unfold_def,[status(thm)],[17,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(60,plain,
( ( ! [SY165: $i] :
? [SY166: $i] : ( a1 @ SY165 @ SY166 ) )
= $true ),
inference(unfold_def,[status(thm)],[18,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(61,plain,
( ( ! [SY169: $i,SY170: $i] :
( ( a3 @ SY169 @ SY170 )
=> ( a3 @ SY170 @ SY169 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(62,plain,
( ( ! [SY173: $i,SY174: $i] :
( ( a2 @ SY173 @ SY174 )
=> ( a2 @ SY174 @ SY173 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(63,plain,
( ( ! [SY177: $i,SY178: $i] :
( ( a1 @ SY177 @ SY178 )
=> ( a1 @ SY178 @ SY177 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(64,plain,
( ( ! [SY216: $i,SY217: mu,SY218: mu] :
( ~ ~ ! [SY219: $i] :
( ~ ( a3 @ SY216 @ SY219 )
| ~ ( likes @ SY217 @ SY218 @ SY219 ) )
| ( possibly_likes @ SY217 @ SY218 @ SY216 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(65,plain,
( ( ! [SY259: $i,SY260: mu,SY261: mu] :
( ~ ~ ! [SY262: $i] :
( ~ ( a2 @ SY259 @ SY262 )
| ~ ( likes @ SY260 @ SY261 @ SY262 ) )
| ( possibly_likes @ SY260 @ SY261 @ SY259 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(66,plain,
( ( ! [SY302: $i,SY303: mu,SY304: mu] :
( ~ ~ ! [SY305: $i] :
( ~ ( a1 @ SY302 @ SY305 )
| ~ ( likes @ SY303 @ SY304 @ SY305 ) )
| ( possibly_likes @ SY303 @ SY304 @ SY302 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(67,plain,
( ( ! [SY345: $i,SY346: mu,SY347: mu] :
( ~ ~ ! [SY348: $i] :
( ~ ( a3 @ SY345 @ SY348 )
| ~ ( very_much_likes @ SY346 @ SY347 @ SY348 ) )
| ( likes @ SY346 @ SY347 @ SY345 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(68,plain,
( ( ! [SY382: $i,SY383: mu,SY384: mu] :
( ~ ! [SY385: $i] :
( ~ ( a3 @ SY382 @ SY385 )
| ( very_much_likes @ SY383 @ SY384 @ SY385 ) )
| ( very_much_likes @ SY383 @ SY384 @ SY382 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(69,plain,
( ( ! [SY467: $i,SY468: mu,SY469: mu,SY470: $i] :
( ~ ( a3 @ SY467 @ SY470 )
| ~ ~ ( ~ ( likes @ SY468 @ SY469 @ SY470 )
| ~ ~ ( ~ ! [SY461: $i] :
( ~ ( a1 @ SY470 @ SY461 )
| ( likes @ SY468 @ SY469 @ SY461 ) )
| ~ ! [SY462: $i] :
( ~ ( a2 @ SY470 @ SY462 )
| ( likes @ SY468 @ SY469 @ SY462 ) ) ) )
| ( very_much_likes @ SY468 @ SY469 @ SY470 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(70,plain,
( ( ! [SY490: $i] :
~ ! [SY491: $i] :
( ~ ( a1 @ SY490 @ SY491 )
| ~ ( likes @ piotr @ beer @ SY491 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(71,plain,
( ( ! [SY505: $i] :
~ ! [SY506: $i] :
( ~ ( a3 @ SY505 @ SY506 )
| ~ ( likes @ piotr @ pepsi @ SY506 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(72,plain,
( ( ! [SY514: $i,SY515: $i] :
( ~ ( a3 @ SY514 @ SY515 )
| ( likes @ jan @ cola @ SY515 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(73,plain,
( ( ! [SY535: $i,SY536: mu,SY537: $i] :
( ~ ( a2 @ SY535 @ SY537 )
| ~ ( likes @ SY536 @ cola @ SY537 )
| ( likes @ SY536 @ pepsi @ SY537 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(74,plain,
( ( ! [SY558: $i,SY559: mu,SY560: $i] :
( ~ ( a2 @ SY558 @ SY560 )
| ~ ( likes @ SY559 @ pepsi @ SY560 )
| ( likes @ SY559 @ cola @ SY560 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(75,plain,
( ( ! [SY569: $i,SY570: $i] :
( ~ ( a1 @ SY569 @ SY570 )
| ( likes @ piotr @ beer @ SY570 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(76,plain,
( ( ! [SY578: $i,SY579: $i] :
( ~ ( a1 @ SY578 @ SY579 )
| ( likes @ piotr @ cola @ SY579 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(77,plain,
( ( ! [SY587: $i,SY588: $i] :
( ~ ( a2 @ SY587 @ SY588 )
| ( likes @ jan @ pepsi @ SY588 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(78,plain,
( ( ! [SY626: $i,SY627: mu,SY628: $i] :
( ~ ( a1 @ SY626 @ SY628 )
| ~ ~ ! [SY623: $i] :
( ~ ( a1 @ SY628 @ SY623 )
| ~ ( likes @ SY627 @ cola @ SY623 ) )
| ( likes @ SY627 @ pepsi @ SY628 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(79,plain,
( ( ! [SY669: $i,SY670: mu,SY671: $i] :
( ~ ( a1 @ SY669 @ SY671 )
| ~ ~ ! [SY666: $i] :
( ~ ( a1 @ SY671 @ SY666 )
| ~ ( likes @ SY670 @ pepsi @ SY666 ) )
| ( likes @ SY670 @ cola @ SY671 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(80,plain,
( ( ! [SY682: $i,SY683: $i] :
( ~ ( a1 @ SY682 @ SY683 )
| ( likes @ piotr @ pepsi @ SY683 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(81,plain,
( ( ! [SY691: $i,SY692: $i] :
( ~ ( a1 @ SY691 @ SY692 )
| ( likes @ jan @ cola @ SY692 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(82,plain,
( ( ~ ! [SY695: mu] :
~ ~ ! [SY696: mu] :
~ ( very_much_likes @ SY695 @ SY696 @ sK1_SY22 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[42]) ).
thf(83,plain,
( ( ! [SY695: mu] :
~ ~ ! [SY696: mu] :
~ ( very_much_likes @ SY695 @ SY696 @ sK1_SY22 ) )
= $true ),
inference(polarity_switch,[status(thm)],[82]) ).
thf(84,plain,
( ( ! [SY691: $i,SY692: $i] :
( ~ ( a1 @ SY691 @ SY692 )
| ( likes @ jan @ cola @ SY692 ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(85,plain,
( ( ! [SY682: $i,SY683: $i] :
( ~ ( a1 @ SY682 @ SY683 )
| ( likes @ piotr @ pepsi @ SY683 ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(86,plain,
( ( ! [SY669: $i,SY670: mu,SY671: $i] :
( ~ ( a1 @ SY669 @ SY671 )
| ~ ~ ! [SY666: $i] :
( ~ ( a1 @ SY671 @ SY666 )
| ~ ( likes @ SY670 @ pepsi @ SY666 ) )
| ( likes @ SY670 @ cola @ SY671 ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(87,plain,
( ( ! [SY626: $i,SY627: mu,SY628: $i] :
( ~ ( a1 @ SY626 @ SY628 )
| ~ ~ ! [SY623: $i] :
( ~ ( a1 @ SY628 @ SY623 )
| ~ ( likes @ SY627 @ cola @ SY623 ) )
| ( likes @ SY627 @ pepsi @ SY628 ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(88,plain,
( ( ! [SY587: $i,SY588: $i] :
( ~ ( a2 @ SY587 @ SY588 )
| ( likes @ jan @ pepsi @ SY588 ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(89,plain,
( ( ! [SY578: $i,SY579: $i] :
( ~ ( a1 @ SY578 @ SY579 )
| ( likes @ piotr @ cola @ SY579 ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(90,plain,
( ( ! [SY569: $i,SY570: $i] :
( ~ ( a1 @ SY569 @ SY570 )
| ( likes @ piotr @ beer @ SY570 ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(91,plain,
( ( ! [SY558: $i,SY559: mu,SY560: $i] :
( ~ ( a2 @ SY558 @ SY560 )
| ~ ( likes @ SY559 @ pepsi @ SY560 )
| ( likes @ SY559 @ cola @ SY560 ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(92,plain,
( ( ! [SY535: $i,SY536: mu,SY537: $i] :
( ~ ( a2 @ SY535 @ SY537 )
| ~ ( likes @ SY536 @ cola @ SY537 )
| ( likes @ SY536 @ pepsi @ SY537 ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(93,plain,
( ( ! [SY514: $i,SY515: $i] :
( ~ ( a3 @ SY514 @ SY515 )
| ( likes @ jan @ cola @ SY515 ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(94,plain,
( ( ! [SY505: $i] :
~ ! [SY506: $i] :
( ~ ( a3 @ SY505 @ SY506 )
| ~ ( likes @ piotr @ pepsi @ SY506 ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(95,plain,
( ( ! [SY490: $i] :
~ ! [SY491: $i] :
( ~ ( a1 @ SY490 @ SY491 )
| ~ ( likes @ piotr @ beer @ SY491 ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(96,plain,
( ( ! [SY467: $i,SY468: mu,SY469: mu,SY470: $i] :
( ~ ( a3 @ SY467 @ SY470 )
| ~ ~ ( ~ ( likes @ SY468 @ SY469 @ SY470 )
| ~ ~ ( ~ ! [SY461: $i] :
( ~ ( a1 @ SY470 @ SY461 )
| ( likes @ SY468 @ SY469 @ SY461 ) )
| ~ ! [SY462: $i] :
( ~ ( a2 @ SY470 @ SY462 )
| ( likes @ SY468 @ SY469 @ SY462 ) ) ) )
| ( very_much_likes @ SY468 @ SY469 @ SY470 ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(97,plain,
( ( ! [SY382: $i,SY383: mu,SY384: mu] :
( ~ ! [SY385: $i] :
( ~ ( a3 @ SY382 @ SY385 )
| ( very_much_likes @ SY383 @ SY384 @ SY385 ) )
| ( very_much_likes @ SY383 @ SY384 @ SY382 ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(98,plain,
( ( ! [SY345: $i,SY346: mu,SY347: mu] :
( ~ ~ ! [SY348: $i] :
( ~ ( a3 @ SY345 @ SY348 )
| ~ ( very_much_likes @ SY346 @ SY347 @ SY348 ) )
| ( likes @ SY346 @ SY347 @ SY345 ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(99,plain,
( ( ! [SY302: $i,SY303: mu,SY304: mu] :
( ~ ~ ! [SY305: $i] :
( ~ ( a1 @ SY302 @ SY305 )
| ~ ( likes @ SY303 @ SY304 @ SY305 ) )
| ( possibly_likes @ SY303 @ SY304 @ SY302 ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(100,plain,
( ( ! [SY259: $i,SY260: mu,SY261: mu] :
( ~ ~ ! [SY262: $i] :
( ~ ( a2 @ SY259 @ SY262 )
| ~ ( likes @ SY260 @ SY261 @ SY262 ) )
| ( possibly_likes @ SY260 @ SY261 @ SY259 ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(101,plain,
( ( ! [SY216: $i,SY217: mu,SY218: mu] :
( ~ ~ ! [SY219: $i] :
( ~ ( a3 @ SY216 @ SY219 )
| ~ ( likes @ SY217 @ SY218 @ SY219 ) )
| ( possibly_likes @ SY217 @ SY218 @ SY216 ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(102,plain,
( ( ! [SY177: $i,SY178: $i] :
( ( a1 @ SY177 @ SY178 )
=> ( a1 @ SY178 @ SY177 ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(103,plain,
( ( ! [SY173: $i,SY174: $i] :
( ( a2 @ SY173 @ SY174 )
=> ( a2 @ SY174 @ SY173 ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(104,plain,
( ( ! [SY169: $i,SY170: $i] :
( ( a3 @ SY169 @ SY170 )
=> ( a3 @ SY170 @ SY169 ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(105,plain,
( ( ! [SY165: $i] :
? [SY166: $i] : ( a1 @ SY165 @ SY166 ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(106,plain,
( ( ! [SY161: $i] :
? [SY162: $i] : ( a2 @ SY161 @ SY162 ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(107,plain,
( ( ! [SY157: $i] :
? [SY158: $i] : ( a3 @ SY157 @ SY158 ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(108,plain,
( ( ! [SY153: $i,SY154: $i] :
( ( a1 @ SY153 @ SY154 )
=> ( a2 @ SY153 @ SY154 ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(109,plain,
( ( ! [SY146: $i,SY147: $i] :
( ( a1 @ SY146 @ SY147 )
=> ( a3 @ SY146 @ SY147 ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(110,plain,
( ( ! [SY139: $i,SY140: $i] :
( ( a2 @ SY139 @ SY140 )
=> ( a3 @ SY139 @ SY140 ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(111,plain,
( ( ! [SY130: $i,SY131: $i,SY132: $i] :
( ( ( a1 @ SY130 @ SY131 )
& ( a1 @ SY131 @ SY132 ) )
=> ( a1 @ SY130 @ SY132 ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(112,plain,
( ( ! [SY120: $i,SY121: $i,SY122: $i] :
( ( ( a1 @ SY120 @ SY121 )
& ( a2 @ SY121 @ SY122 ) )
=> ( a2 @ SY120 @ SY122 ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(113,plain,
( ( ! [SY110: $i,SY111: $i,SY112: $i] :
( ( ( a1 @ SY110 @ SY111 )
& ( a3 @ SY111 @ SY112 ) )
=> ( a3 @ SY110 @ SY112 ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(114,plain,
( ( ! [SY100: $i,SY101: $i,SY102: $i] :
( ( ( a2 @ SY100 @ SY101 )
& ( a1 @ SY101 @ SY102 ) )
=> ( a1 @ SY100 @ SY102 ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(115,plain,
( ( ! [SY90: $i,SY91: $i,SY92: $i] :
( ( ( a2 @ SY90 @ SY91 )
& ( a2 @ SY91 @ SY92 ) )
=> ( a2 @ SY90 @ SY92 ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(116,plain,
( ( ! [SY80: $i,SY81: $i,SY82: $i] :
( ( ( a2 @ SY80 @ SY81 )
& ( a3 @ SY81 @ SY82 ) )
=> ( a3 @ SY80 @ SY82 ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(117,plain,
( ( ! [SY70: $i,SY71: $i,SY72: $i] :
( ( ( a1 @ SY70 @ SY71 )
& ( a1 @ SY71 @ SY72 ) )
=> ( a1 @ SY70 @ SY72 ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(118,plain,
( ( ! [SY60: $i,SY61: $i,SY62: $i] :
( ( ( a2 @ SY60 @ SY61 )
& ( a2 @ SY61 @ SY62 ) )
=> ( a2 @ SY60 @ SY62 ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(119,plain,
( ( ! [SY50: $i,SY51: $i,SY52: $i] :
( ( ( a3 @ SY50 @ SY51 )
& ( a3 @ SY51 @ SY52 ) )
=> ( a3 @ SY50 @ SY52 ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(120,plain,
( ( ! [SY40: $i,SY41: $i,SY42: $i] :
( ( ( a1 @ SY40 @ SY41 )
& ( a1 @ SY40 @ SY42 ) )
=> ( a1 @ SY41 @ SY42 ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(121,plain,
( ( ! [SY34: $i,SY35: $i,SY36: $i] :
( ( ( a2 @ SY34 @ SY35 )
& ( a2 @ SY34 @ SY36 ) )
=> ( a2 @ SY35 @ SY36 ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(122,plain,
( ( ! [SY28: $i,SY29: $i,SY30: $i] :
( ( ( a3 @ SY28 @ SY29 )
& ( a3 @ SY28 @ SY30 ) )
=> ( a3 @ SY29 @ SY30 ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(123,plain,
( ( ! [SY695: mu] :
~ ~ ! [SY696: mu] :
~ ( very_much_likes @ SY695 @ SY696 @ sK1_SY22 ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(124,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a2 @ SX0 @ SX1 )
| ~ ( a2 @ SX1 @ SX2 ) )
| ( a2 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115,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(125,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a3 @ SX0 @ SX1 )
| ~ ( a3 @ SX1 @ SX2 ) )
| ( a3 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119,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(126,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a2 @ SX0 @ SX1 )
| ~ ( a1 @ SX1 @ SX2 ) )
| ( a1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(127,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a1 @ SX0 @ SX1 )
| ~ ( a1 @ SX0 @ SX2 ) )
| ( a1 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120,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(128,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a1 @ SX0 @ SX1 )
| ~ ( a2 @ SX1 @ SX2 ) )
| ( a2 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112,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(129,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a1 @ SX0 @ SX1 )
| ~ ( a3 @ SX1 @ SX2 ) )
| ( a3 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113,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(130,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a2 @ SX0 @ SX1 )
| ~ ( a3 @ SX1 @ SX2 ) )
| ( a3 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116,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(131,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a2 @ SX0 @ SX1 )
| ( a3 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110,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(132,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a1 @ SX0 @ SX1 )
| ~ ( a1 @ SX1 @ SX2 ) )
| ( a1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117,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(133,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( a3 @ SX0 @ SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[107,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(134,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( a1 @ SX0 @ SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[105,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(135,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a3 @ SX0 @ SX1 )
| ~ ( a3 @ SX0 @ SX2 ) )
| ( a3 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122,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(136,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a1 @ SX0 @ SX1 )
| ( a3 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109,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(137,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a2 @ SX0 @ SX1 )
| ~ ( a2 @ SX1 @ SX2 ) )
| ( a2 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(138,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a2 @ SX0 @ SX1 )
| ~ ( a2 @ SX0 @ SX2 ) )
| ( a2 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121,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(139,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( a1 @ SX0 @ SX1 )
| ~ ( a1 @ SX1 @ SX2 ) )
| ( a1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111,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(140,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
~ ( a2 @ SX0 @ SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[106,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(141,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a1 @ SX0 @ SX1 )
| ( a1 @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102,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(142,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a2 @ SX0 @ SX1 )
| ( a2 @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103,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(143,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a3 @ SX0 @ SX1 )
| ( a3 @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104,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(144,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a1 @ SX0 @ SX1 )
| ( a2 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108,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(145,plain,
! [SV1: $i] :
( ( ! [SY697: $i] :
( ~ ( a1 @ SV1 @ SY697 )
| ( likes @ jan @ cola @ SY697 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(146,plain,
! [SV2: $i] :
( ( ! [SY698: $i] :
( ~ ( a1 @ SV2 @ SY698 )
| ( likes @ piotr @ pepsi @ SY698 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(147,plain,
! [SV3: $i] :
( ( ! [SY699: mu,SY700: $i] :
( ~ ( a1 @ SV3 @ SY700 )
| ~ ~ ! [SY666: $i] :
( ~ ( a1 @ SY700 @ SY666 )
| ~ ( likes @ SY699 @ pepsi @ SY666 ) )
| ( likes @ SY699 @ cola @ SY700 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(148,plain,
! [SV4: $i] :
( ( ! [SY702: mu,SY703: $i] :
( ~ ( a1 @ SV4 @ SY703 )
| ~ ~ ! [SY623: $i] :
( ~ ( a1 @ SY703 @ SY623 )
| ~ ( likes @ SY702 @ cola @ SY623 ) )
| ( likes @ SY702 @ pepsi @ SY703 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(149,plain,
! [SV5: $i] :
( ( ! [SY705: $i] :
( ~ ( a2 @ SV5 @ SY705 )
| ( likes @ jan @ pepsi @ SY705 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(150,plain,
! [SV6: $i] :
( ( ! [SY706: $i] :
( ~ ( a1 @ SV6 @ SY706 )
| ( likes @ piotr @ cola @ SY706 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(151,plain,
! [SV7: $i] :
( ( ! [SY707: $i] :
( ~ ( a1 @ SV7 @ SY707 )
| ( likes @ piotr @ beer @ SY707 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(152,plain,
! [SV8: $i] :
( ( ! [SY708: mu,SY709: $i] :
( ~ ( a2 @ SV8 @ SY709 )
| ~ ( likes @ SY708 @ pepsi @ SY709 )
| ( likes @ SY708 @ cola @ SY709 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(153,plain,
! [SV9: $i] :
( ( ! [SY710: mu,SY711: $i] :
( ~ ( a2 @ SV9 @ SY711 )
| ~ ( likes @ SY710 @ cola @ SY711 )
| ( likes @ SY710 @ pepsi @ SY711 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(154,plain,
! [SV10: $i] :
( ( ! [SY712: $i] :
( ~ ( a3 @ SV10 @ SY712 )
| ( likes @ jan @ cola @ SY712 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(155,plain,
! [SV11: $i] :
( ( ~ ! [SY713: $i] :
( ~ ( a3 @ SV11 @ SY713 )
| ~ ( likes @ piotr @ pepsi @ SY713 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(156,plain,
! [SV12: $i] :
( ( ~ ! [SY714: $i] :
( ~ ( a1 @ SV12 @ SY714 )
| ~ ( likes @ piotr @ beer @ SY714 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(157,plain,
! [SV13: $i] :
( ( ! [SY715: mu,SY716: mu,SY717: $i] :
( ~ ( a3 @ SV13 @ SY717 )
| ~ ~ ( ~ ( likes @ SY715 @ SY716 @ SY717 )
| ~ ~ ( ~ ! [SY461: $i] :
( ~ ( a1 @ SY717 @ SY461 )
| ( likes @ SY715 @ SY716 @ SY461 ) )
| ~ ! [SY462: $i] :
( ~ ( a2 @ SY717 @ SY462 )
| ( likes @ SY715 @ SY716 @ SY462 ) ) ) )
| ( very_much_likes @ SY715 @ SY716 @ SY717 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(158,plain,
! [SV14: $i] :
( ( ! [SY720: mu,SY721: mu] :
( ~ ! [SY722: $i] :
( ~ ( a3 @ SV14 @ SY722 )
| ( very_much_likes @ SY720 @ SY721 @ SY722 ) )
| ( very_much_likes @ SY720 @ SY721 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(159,plain,
! [SV15: $i] :
( ( ! [SY723: mu,SY724: mu] :
( ~ ~ ! [SY725: $i] :
( ~ ( a3 @ SV15 @ SY725 )
| ~ ( very_much_likes @ SY723 @ SY724 @ SY725 ) )
| ( likes @ SY723 @ SY724 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(160,plain,
! [SV16: $i] :
( ( ! [SY726: mu,SY727: mu] :
( ~ ~ ! [SY728: $i] :
( ~ ( a1 @ SV16 @ SY728 )
| ~ ( likes @ SY726 @ SY727 @ SY728 ) )
| ( possibly_likes @ SY726 @ SY727 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(161,plain,
! [SV17: $i] :
( ( ! [SY729: mu,SY730: mu] :
( ~ ~ ! [SY731: $i] :
( ~ ( a2 @ SV17 @ SY731 )
| ~ ( likes @ SY729 @ SY730 @ SY731 ) )
| ( possibly_likes @ SY729 @ SY730 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(162,plain,
! [SV18: $i] :
( ( ! [SY732: mu,SY733: mu] :
( ~ ~ ! [SY734: $i] :
( ~ ( a3 @ SV18 @ SY734 )
| ~ ( likes @ SY732 @ SY733 @ SY734 ) )
| ( possibly_likes @ SY732 @ SY733 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(163,plain,
! [SV19: mu] :
( ( ~ ~ ! [SY735: mu] :
~ ( very_much_likes @ SV19 @ SY735 @ sK1_SY22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(164,plain,
! [SV20: $i] :
( ( ! [SY736: $i,SY737: $i] :
( ~ ~ ( ~ ( a2 @ SV20 @ SY736 )
| ~ ( a2 @ SY736 @ SY737 ) )
| ( a2 @ SV20 @ SY737 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(165,plain,
! [SV21: $i] :
( ( ! [SY738: $i,SY739: $i] :
( ~ ~ ( ~ ( a3 @ SV21 @ SY738 )
| ~ ( a3 @ SY738 @ SY739 ) )
| ( a3 @ SV21 @ SY739 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(166,plain,
! [SV22: $i] :
( ( ! [SY740: $i,SY741: $i] :
( ~ ~ ( ~ ( a2 @ SV22 @ SY740 )
| ~ ( a1 @ SY740 @ SY741 ) )
| ( a1 @ SV22 @ SY741 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(167,plain,
! [SV23: $i] :
( ( ! [SY742: $i,SY743: $i] :
( ~ ~ ( ~ ( a1 @ SV23 @ SY742 )
| ~ ( a1 @ SV23 @ SY743 ) )
| ( a1 @ SY742 @ SY743 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(168,plain,
! [SV24: $i] :
( ( ! [SY744: $i,SY745: $i] :
( ~ ~ ( ~ ( a1 @ SV24 @ SY744 )
| ~ ( a2 @ SY744 @ SY745 ) )
| ( a2 @ SV24 @ SY745 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(169,plain,
! [SV25: $i] :
( ( ! [SY746: $i,SY747: $i] :
( ~ ~ ( ~ ( a1 @ SV25 @ SY746 )
| ~ ( a3 @ SY746 @ SY747 ) )
| ( a3 @ SV25 @ SY747 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(170,plain,
! [SV26: $i] :
( ( ! [SY748: $i,SY749: $i] :
( ~ ~ ( ~ ( a2 @ SV26 @ SY748 )
| ~ ( a3 @ SY748 @ SY749 ) )
| ( a3 @ SV26 @ SY749 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(171,plain,
! [SV27: $i] :
( ( ! [SY750: $i] :
( ~ ( a2 @ SV27 @ SY750 )
| ( a3 @ SV27 @ SY750 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(172,plain,
! [SV28: $i] :
( ( ! [SY751: $i,SY752: $i] :
( ~ ~ ( ~ ( a1 @ SV28 @ SY751 )
| ~ ( a1 @ SY751 @ SY752 ) )
| ( a1 @ SV28 @ SY752 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(173,plain,
! [SV29: $i] :
( ( ~ ! [SY753: $i] :
~ ( a3 @ SV29 @ SY753 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(174,plain,
! [SV30: $i] :
( ( ~ ! [SY754: $i] :
~ ( a1 @ SV30 @ SY754 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(175,plain,
! [SV31: $i] :
( ( ! [SY755: $i,SY756: $i] :
( ~ ~ ( ~ ( a3 @ SV31 @ SY755 )
| ~ ( a3 @ SV31 @ SY756 ) )
| ( a3 @ SY755 @ SY756 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(176,plain,
! [SV32: $i] :
( ( ! [SY757: $i] :
( ~ ( a1 @ SV32 @ SY757 )
| ( a3 @ SV32 @ SY757 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(177,plain,
! [SV33: $i] :
( ( ! [SY758: $i,SY759: $i] :
( ~ ~ ( ~ ( a2 @ SV33 @ SY758 )
| ~ ( a2 @ SY758 @ SY759 ) )
| ( a2 @ SV33 @ SY759 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(178,plain,
! [SV34: $i] :
( ( ! [SY760: $i,SY761: $i] :
( ~ ~ ( ~ ( a2 @ SV34 @ SY760 )
| ~ ( a2 @ SV34 @ SY761 ) )
| ( a2 @ SY760 @ SY761 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(179,plain,
! [SV35: $i] :
( ( ! [SY762: $i,SY763: $i] :
( ~ ~ ( ~ ( a1 @ SV35 @ SY762 )
| ~ ( a1 @ SY762 @ SY763 ) )
| ( a1 @ SV35 @ SY763 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(180,plain,
! [SV36: $i] :
( ( ~ ! [SY764: $i] :
~ ( a2 @ SV36 @ SY764 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(181,plain,
! [SV37: $i] :
( ( ! [SY765: $i] :
( ~ ( a1 @ SV37 @ SY765 )
| ( a1 @ SY765 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(182,plain,
! [SV38: $i] :
( ( ! [SY766: $i] :
( ~ ( a2 @ SV38 @ SY766 )
| ( a2 @ SY766 @ SV38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(183,plain,
! [SV39: $i] :
( ( ! [SY767: $i] :
( ~ ( a3 @ SV39 @ SY767 )
| ( a3 @ SY767 @ SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(184,plain,
! [SV40: $i] :
( ( ! [SY768: $i] :
( ~ ( a1 @ SV40 @ SY768 )
| ( a2 @ SV40 @ SY768 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(185,plain,
! [SV41: $i,SV1: $i] :
( ( ~ ( a1 @ SV1 @ SV41 )
| ( likes @ jan @ cola @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(186,plain,
! [SV42: $i,SV2: $i] :
( ( ~ ( a1 @ SV2 @ SV42 )
| ( likes @ piotr @ pepsi @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(187,plain,
! [SV43: mu,SV3: $i] :
( ( ! [SY769: $i] :
( ~ ( a1 @ SV3 @ SY769 )
| ~ ~ ! [SY770: $i] :
( ~ ( a1 @ SY769 @ SY770 )
| ~ ( likes @ SV43 @ pepsi @ SY770 ) )
| ( likes @ SV43 @ cola @ SY769 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(188,plain,
! [SV44: mu,SV4: $i] :
( ( ! [SY771: $i] :
( ~ ( a1 @ SV4 @ SY771 )
| ~ ~ ! [SY772: $i] :
( ~ ( a1 @ SY771 @ SY772 )
| ~ ( likes @ SV44 @ cola @ SY772 ) )
| ( likes @ SV44 @ pepsi @ SY771 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(189,plain,
! [SV45: $i,SV5: $i] :
( ( ~ ( a2 @ SV5 @ SV45 )
| ( likes @ jan @ pepsi @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(190,plain,
! [SV46: $i,SV6: $i] :
( ( ~ ( a1 @ SV6 @ SV46 )
| ( likes @ piotr @ cola @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(191,plain,
! [SV47: $i,SV7: $i] :
( ( ~ ( a1 @ SV7 @ SV47 )
| ( likes @ piotr @ beer @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(192,plain,
! [SV48: mu,SV8: $i] :
( ( ! [SY773: $i] :
( ~ ( a2 @ SV8 @ SY773 )
| ~ ( likes @ SV48 @ pepsi @ SY773 )
| ( likes @ SV48 @ cola @ SY773 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(193,plain,
! [SV49: mu,SV9: $i] :
( ( ! [SY774: $i] :
( ~ ( a2 @ SV9 @ SY774 )
| ~ ( likes @ SV49 @ cola @ SY774 )
| ( likes @ SV49 @ pepsi @ SY774 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(194,plain,
! [SV50: $i,SV10: $i] :
( ( ~ ( a3 @ SV10 @ SV50 )
| ( likes @ jan @ cola @ SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(195,plain,
! [SV11: $i] :
( ( ! [SY713: $i] :
( ~ ( a3 @ SV11 @ SY713 )
| ~ ( likes @ piotr @ pepsi @ SY713 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(196,plain,
! [SV12: $i] :
( ( ! [SY714: $i] :
( ~ ( a1 @ SV12 @ SY714 )
| ~ ( likes @ piotr @ beer @ SY714 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(197,plain,
! [SV51: mu,SV13: $i] :
( ( ! [SY775: mu,SY776: $i] :
( ~ ( a3 @ SV13 @ SY776 )
| ~ ~ ( ~ ( likes @ SV51 @ SY775 @ SY776 )
| ~ ~ ( ~ ! [SY777: $i] :
( ~ ( a1 @ SY776 @ SY777 )
| ( likes @ SV51 @ SY775 @ SY777 ) )
| ~ ! [SY778: $i] :
( ~ ( a2 @ SY776 @ SY778 )
| ( likes @ SV51 @ SY775 @ SY778 ) ) ) )
| ( very_much_likes @ SV51 @ SY775 @ SY776 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(198,plain,
! [SV52: mu,SV14: $i] :
( ( ! [SY779: mu] :
( ~ ! [SY780: $i] :
( ~ ( a3 @ SV14 @ SY780 )
| ( very_much_likes @ SV52 @ SY779 @ SY780 ) )
| ( very_much_likes @ SV52 @ SY779 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(199,plain,
! [SV53: mu,SV15: $i] :
( ( ! [SY781: mu] :
( ~ ~ ! [SY782: $i] :
( ~ ( a3 @ SV15 @ SY782 )
| ~ ( very_much_likes @ SV53 @ SY781 @ SY782 ) )
| ( likes @ SV53 @ SY781 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(200,plain,
! [SV54: mu,SV16: $i] :
( ( ! [SY783: mu] :
( ~ ~ ! [SY784: $i] :
( ~ ( a1 @ SV16 @ SY784 )
| ~ ( likes @ SV54 @ SY783 @ SY784 ) )
| ( possibly_likes @ SV54 @ SY783 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(201,plain,
! [SV55: mu,SV17: $i] :
( ( ! [SY785: mu] :
( ~ ~ ! [SY786: $i] :
( ~ ( a2 @ SV17 @ SY786 )
| ~ ( likes @ SV55 @ SY785 @ SY786 ) )
| ( possibly_likes @ SV55 @ SY785 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(202,plain,
! [SV56: mu,SV18: $i] :
( ( ! [SY787: mu] :
( ~ ~ ! [SY788: $i] :
( ~ ( a3 @ SV18 @ SY788 )
| ~ ( likes @ SV56 @ SY787 @ SY788 ) )
| ( possibly_likes @ SV56 @ SY787 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(203,plain,
! [SV19: mu] :
( ( ~ ! [SY735: mu] :
~ ( very_much_likes @ SV19 @ SY735 @ sK1_SY22 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(204,plain,
! [SV57: $i,SV20: $i] :
( ( ! [SY789: $i] :
( ~ ~ ( ~ ( a2 @ SV20 @ SV57 )
| ~ ( a2 @ SV57 @ SY789 ) )
| ( a2 @ SV20 @ SY789 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(205,plain,
! [SV58: $i,SV21: $i] :
( ( ! [SY790: $i] :
( ~ ~ ( ~ ( a3 @ SV21 @ SV58 )
| ~ ( a3 @ SV58 @ SY790 ) )
| ( a3 @ SV21 @ SY790 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(206,plain,
! [SV59: $i,SV22: $i] :
( ( ! [SY791: $i] :
( ~ ~ ( ~ ( a2 @ SV22 @ SV59 )
| ~ ( a1 @ SV59 @ SY791 ) )
| ( a1 @ SV22 @ SY791 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(207,plain,
! [SV60: $i,SV23: $i] :
( ( ! [SY792: $i] :
( ~ ~ ( ~ ( a1 @ SV23 @ SV60 )
| ~ ( a1 @ SV23 @ SY792 ) )
| ( a1 @ SV60 @ SY792 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(208,plain,
! [SV61: $i,SV24: $i] :
( ( ! [SY793: $i] :
( ~ ~ ( ~ ( a1 @ SV24 @ SV61 )
| ~ ( a2 @ SV61 @ SY793 ) )
| ( a2 @ SV24 @ SY793 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(209,plain,
! [SV62: $i,SV25: $i] :
( ( ! [SY794: $i] :
( ~ ~ ( ~ ( a1 @ SV25 @ SV62 )
| ~ ( a3 @ SV62 @ SY794 ) )
| ( a3 @ SV25 @ SY794 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(210,plain,
! [SV63: $i,SV26: $i] :
( ( ! [SY795: $i] :
( ~ ~ ( ~ ( a2 @ SV26 @ SV63 )
| ~ ( a3 @ SV63 @ SY795 ) )
| ( a3 @ SV26 @ SY795 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(211,plain,
! [SV64: $i,SV27: $i] :
( ( ~ ( a2 @ SV27 @ SV64 )
| ( a3 @ SV27 @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(212,plain,
! [SV65: $i,SV28: $i] :
( ( ! [SY796: $i] :
( ~ ~ ( ~ ( a1 @ SV28 @ SV65 )
| ~ ( a1 @ SV65 @ SY796 ) )
| ( a1 @ SV28 @ SY796 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(213,plain,
! [SV29: $i] :
( ( ! [SY753: $i] :
~ ( a3 @ SV29 @ SY753 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(214,plain,
! [SV30: $i] :
( ( ! [SY754: $i] :
~ ( a1 @ SV30 @ SY754 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(215,plain,
! [SV66: $i,SV31: $i] :
( ( ! [SY797: $i] :
( ~ ~ ( ~ ( a3 @ SV31 @ SV66 )
| ~ ( a3 @ SV31 @ SY797 ) )
| ( a3 @ SV66 @ SY797 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(216,plain,
! [SV67: $i,SV32: $i] :
( ( ~ ( a1 @ SV32 @ SV67 )
| ( a3 @ SV32 @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(217,plain,
! [SV68: $i,SV33: $i] :
( ( ! [SY798: $i] :
( ~ ~ ( ~ ( a2 @ SV33 @ SV68 )
| ~ ( a2 @ SV68 @ SY798 ) )
| ( a2 @ SV33 @ SY798 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(218,plain,
! [SV69: $i,SV34: $i] :
( ( ! [SY799: $i] :
( ~ ~ ( ~ ( a2 @ SV34 @ SV69 )
| ~ ( a2 @ SV34 @ SY799 ) )
| ( a2 @ SV69 @ SY799 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(219,plain,
! [SV70: $i,SV35: $i] :
( ( ! [SY800: $i] :
( ~ ~ ( ~ ( a1 @ SV35 @ SV70 )
| ~ ( a1 @ SV70 @ SY800 ) )
| ( a1 @ SV35 @ SY800 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(220,plain,
! [SV36: $i] :
( ( ! [SY764: $i] :
~ ( a2 @ SV36 @ SY764 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(221,plain,
! [SV71: $i,SV37: $i] :
( ( ~ ( a1 @ SV37 @ SV71 )
| ( a1 @ SV71 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(222,plain,
! [SV72: $i,SV38: $i] :
( ( ~ ( a2 @ SV38 @ SV72 )
| ( a2 @ SV72 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(223,plain,
! [SV73: $i,SV39: $i] :
( ( ~ ( a3 @ SV39 @ SV73 )
| ( a3 @ SV73 @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(224,plain,
! [SV74: $i,SV40: $i] :
( ( ~ ( a1 @ SV40 @ SV74 )
| ( a2 @ SV40 @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(225,plain,
! [SV41: $i,SV1: $i] :
( ( ( ~ ( a1 @ SV1 @ SV41 ) )
= $true )
| ( ( likes @ jan @ cola @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(226,plain,
! [SV42: $i,SV2: $i] :
( ( ( ~ ( a1 @ SV2 @ SV42 ) )
= $true )
| ( ( likes @ piotr @ pepsi @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(227,plain,
! [SV43: mu,SV75: $i,SV3: $i] :
( ( ~ ( a1 @ SV3 @ SV75 )
| ~ ~ ! [SY801: $i] :
( ~ ( a1 @ SV75 @ SY801 )
| ~ ( likes @ SV43 @ pepsi @ SY801 ) )
| ( likes @ SV43 @ cola @ SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(228,plain,
! [SV44: mu,SV76: $i,SV4: $i] :
( ( ~ ( a1 @ SV4 @ SV76 )
| ~ ~ ! [SY802: $i] :
( ~ ( a1 @ SV76 @ SY802 )
| ~ ( likes @ SV44 @ cola @ SY802 ) )
| ( likes @ SV44 @ pepsi @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(229,plain,
! [SV45: $i,SV5: $i] :
( ( ( ~ ( a2 @ SV5 @ SV45 ) )
= $true )
| ( ( likes @ jan @ pepsi @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(230,plain,
! [SV46: $i,SV6: $i] :
( ( ( ~ ( a1 @ SV6 @ SV46 ) )
= $true )
| ( ( likes @ piotr @ cola @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(231,plain,
! [SV47: $i,SV7: $i] :
( ( ( ~ ( a1 @ SV7 @ SV47 ) )
= $true )
| ( ( likes @ piotr @ beer @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(232,plain,
! [SV48: mu,SV77: $i,SV8: $i] :
( ( ~ ( a2 @ SV8 @ SV77 )
| ~ ( likes @ SV48 @ pepsi @ SV77 )
| ( likes @ SV48 @ cola @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(233,plain,
! [SV49: mu,SV78: $i,SV9: $i] :
( ( ~ ( a2 @ SV9 @ SV78 )
| ~ ( likes @ SV49 @ cola @ SV78 )
| ( likes @ SV49 @ pepsi @ SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(234,plain,
! [SV50: $i,SV10: $i] :
( ( ( ~ ( a3 @ SV10 @ SV50 ) )
= $true )
| ( ( likes @ jan @ cola @ SV50 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(235,plain,
! [SV11: $i] :
( ( ~ ( a3 @ SV11 @ ( sK2_SY713 @ SV11 ) )
| ~ ( likes @ piotr @ pepsi @ ( sK2_SY713 @ SV11 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[195]) ).
thf(236,plain,
! [SV12: $i] :
( ( ~ ( a1 @ SV12 @ ( sK3_SY714 @ SV12 ) )
| ~ ( likes @ piotr @ beer @ ( sK3_SY714 @ SV12 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[196]) ).
thf(237,plain,
! [SV79: mu,SV51: mu,SV13: $i] :
( ( ! [SY803: $i] :
( ~ ( a3 @ SV13 @ SY803 )
| ~ ~ ( ~ ( likes @ SV51 @ SV79 @ SY803 )
| ~ ~ ( ~ ! [SY804: $i] :
( ~ ( a1 @ SY803 @ SY804 )
| ( likes @ SV51 @ SV79 @ SY804 ) )
| ~ ! [SY805: $i] :
( ~ ( a2 @ SY803 @ SY805 )
| ( likes @ SV51 @ SV79 @ SY805 ) ) ) )
| ( very_much_likes @ SV51 @ SV79 @ SY803 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(238,plain,
! [SV80: mu,SV52: mu,SV14: $i] :
( ( ~ ! [SY806: $i] :
( ~ ( a3 @ SV14 @ SY806 )
| ( very_much_likes @ SV52 @ SV80 @ SY806 ) )
| ( very_much_likes @ SV52 @ SV80 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(239,plain,
! [SV81: mu,SV53: mu,SV15: $i] :
( ( ~ ~ ! [SY807: $i] :
( ~ ( a3 @ SV15 @ SY807 )
| ~ ( very_much_likes @ SV53 @ SV81 @ SY807 ) )
| ( likes @ SV53 @ SV81 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(240,plain,
! [SV82: mu,SV54: mu,SV16: $i] :
( ( ~ ~ ! [SY808: $i] :
( ~ ( a1 @ SV16 @ SY808 )
| ~ ( likes @ SV54 @ SV82 @ SY808 ) )
| ( possibly_likes @ SV54 @ SV82 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(241,plain,
! [SV83: mu,SV55: mu,SV17: $i] :
( ( ~ ~ ! [SY809: $i] :
( ~ ( a2 @ SV17 @ SY809 )
| ~ ( likes @ SV55 @ SV83 @ SY809 ) )
| ( possibly_likes @ SV55 @ SV83 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(242,plain,
! [SV84: mu,SV56: mu,SV18: $i] :
( ( ~ ~ ! [SY810: $i] :
( ~ ( a3 @ SV18 @ SY810 )
| ~ ( likes @ SV56 @ SV84 @ SY810 ) )
| ( possibly_likes @ SV56 @ SV84 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(243,plain,
! [SV19: mu] :
( ( ! [SY735: mu] :
~ ( very_much_likes @ SV19 @ SY735 @ sK1_SY22 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(244,plain,
! [SV85: $i,SV57: $i,SV20: $i] :
( ( ~ ~ ( ~ ( a2 @ SV20 @ SV57 )
| ~ ( a2 @ SV57 @ SV85 ) )
| ( a2 @ SV20 @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(245,plain,
! [SV86: $i,SV58: $i,SV21: $i] :
( ( ~ ~ ( ~ ( a3 @ SV21 @ SV58 )
| ~ ( a3 @ SV58 @ SV86 ) )
| ( a3 @ SV21 @ SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(246,plain,
! [SV87: $i,SV59: $i,SV22: $i] :
( ( ~ ~ ( ~ ( a2 @ SV22 @ SV59 )
| ~ ( a1 @ SV59 @ SV87 ) )
| ( a1 @ SV22 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(247,plain,
! [SV88: $i,SV60: $i,SV23: $i] :
( ( ~ ~ ( ~ ( a1 @ SV23 @ SV60 )
| ~ ( a1 @ SV23 @ SV88 ) )
| ( a1 @ SV60 @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(248,plain,
! [SV89: $i,SV61: $i,SV24: $i] :
( ( ~ ~ ( ~ ( a1 @ SV24 @ SV61 )
| ~ ( a2 @ SV61 @ SV89 ) )
| ( a2 @ SV24 @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(249,plain,
! [SV90: $i,SV62: $i,SV25: $i] :
( ( ~ ~ ( ~ ( a1 @ SV25 @ SV62 )
| ~ ( a3 @ SV62 @ SV90 ) )
| ( a3 @ SV25 @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(250,plain,
! [SV91: $i,SV63: $i,SV26: $i] :
( ( ~ ~ ( ~ ( a2 @ SV26 @ SV63 )
| ~ ( a3 @ SV63 @ SV91 ) )
| ( a3 @ SV26 @ SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(251,plain,
! [SV64: $i,SV27: $i] :
( ( ( ~ ( a2 @ SV27 @ SV64 ) )
= $true )
| ( ( a3 @ SV27 @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(252,plain,
! [SV92: $i,SV65: $i,SV28: $i] :
( ( ~ ~ ( ~ ( a1 @ SV28 @ SV65 )
| ~ ( a1 @ SV65 @ SV92 ) )
| ( a1 @ SV28 @ SV92 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(253,plain,
! [SV29: $i] :
( ( ~ ( a3 @ SV29 @ ( sK4_SY753 @ SV29 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[213]) ).
thf(254,plain,
! [SV30: $i] :
( ( ~ ( a1 @ SV30 @ ( sK5_SY754 @ SV30 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[214]) ).
thf(255,plain,
! [SV93: $i,SV66: $i,SV31: $i] :
( ( ~ ~ ( ~ ( a3 @ SV31 @ SV66 )
| ~ ( a3 @ SV31 @ SV93 ) )
| ( a3 @ SV66 @ SV93 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(256,plain,
! [SV67: $i,SV32: $i] :
( ( ( ~ ( a1 @ SV32 @ SV67 ) )
= $true )
| ( ( a3 @ SV32 @ SV67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(257,plain,
! [SV94: $i,SV68: $i,SV33: $i] :
( ( ~ ~ ( ~ ( a2 @ SV33 @ SV68 )
| ~ ( a2 @ SV68 @ SV94 ) )
| ( a2 @ SV33 @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(258,plain,
! [SV95: $i,SV69: $i,SV34: $i] :
( ( ~ ~ ( ~ ( a2 @ SV34 @ SV69 )
| ~ ( a2 @ SV34 @ SV95 ) )
| ( a2 @ SV69 @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(259,plain,
! [SV96: $i,SV70: $i,SV35: $i] :
( ( ~ ~ ( ~ ( a1 @ SV35 @ SV70 )
| ~ ( a1 @ SV70 @ SV96 ) )
| ( a1 @ SV35 @ SV96 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(260,plain,
! [SV36: $i] :
( ( ~ ( a2 @ SV36 @ ( sK6_SY764 @ SV36 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[220]) ).
thf(261,plain,
! [SV71: $i,SV37: $i] :
( ( ( ~ ( a1 @ SV37 @ SV71 ) )
= $true )
| ( ( a1 @ SV71 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(262,plain,
! [SV72: $i,SV38: $i] :
( ( ( ~ ( a2 @ SV38 @ SV72 ) )
= $true )
| ( ( a2 @ SV72 @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(263,plain,
! [SV73: $i,SV39: $i] :
( ( ( ~ ( a3 @ SV39 @ SV73 ) )
= $true )
| ( ( a3 @ SV73 @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(264,plain,
! [SV74: $i,SV40: $i] :
( ( ( ~ ( a1 @ SV40 @ SV74 ) )
= $true )
| ( ( a2 @ SV40 @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(265,plain,
! [SV41: $i,SV1: $i] :
( ( ( a1 @ SV1 @ SV41 )
= $false )
| ( ( likes @ jan @ cola @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(266,plain,
! [SV42: $i,SV2: $i] :
( ( ( a1 @ SV2 @ SV42 )
= $false )
| ( ( likes @ piotr @ pepsi @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(267,plain,
! [SV43: mu,SV75: $i,SV3: $i] :
( ( ( ~ ( a1 @ SV3 @ SV75 ) )
= $true )
| ( ( ~ ~ ! [SY801: $i] :
( ~ ( a1 @ SV75 @ SY801 )
| ~ ( likes @ SV43 @ pepsi @ SY801 ) )
| ( likes @ SV43 @ cola @ SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(268,plain,
! [SV44: mu,SV76: $i,SV4: $i] :
( ( ( ~ ( a1 @ SV4 @ SV76 ) )
= $true )
| ( ( ~ ~ ! [SY802: $i] :
( ~ ( a1 @ SV76 @ SY802 )
| ~ ( likes @ SV44 @ cola @ SY802 ) )
| ( likes @ SV44 @ pepsi @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(269,plain,
! [SV45: $i,SV5: $i] :
( ( ( a2 @ SV5 @ SV45 )
= $false )
| ( ( likes @ jan @ pepsi @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(270,plain,
! [SV46: $i,SV6: $i] :
( ( ( a1 @ SV6 @ SV46 )
= $false )
| ( ( likes @ piotr @ cola @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(271,plain,
! [SV47: $i,SV7: $i] :
( ( ( a1 @ SV7 @ SV47 )
= $false )
| ( ( likes @ piotr @ beer @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(272,plain,
! [SV48: mu,SV77: $i,SV8: $i] :
( ( ( ~ ( a2 @ SV8 @ SV77 ) )
= $true )
| ( ( ~ ( likes @ SV48 @ pepsi @ SV77 )
| ( likes @ SV48 @ cola @ SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(273,plain,
! [SV49: mu,SV78: $i,SV9: $i] :
( ( ( ~ ( a2 @ SV9 @ SV78 ) )
= $true )
| ( ( ~ ( likes @ SV49 @ cola @ SV78 )
| ( likes @ SV49 @ pepsi @ SV78 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(274,plain,
! [SV50: $i,SV10: $i] :
( ( ( a3 @ SV10 @ SV50 )
= $false )
| ( ( likes @ jan @ cola @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(275,plain,
! [SV11: $i] :
( ( ~ ( a3 @ SV11 @ ( sK2_SY713 @ SV11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(276,plain,
! [SV11: $i] :
( ( ~ ( likes @ piotr @ pepsi @ ( sK2_SY713 @ SV11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(277,plain,
! [SV12: $i] :
( ( ~ ( a1 @ SV12 @ ( sK3_SY714 @ SV12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(278,plain,
! [SV12: $i] :
( ( ~ ( likes @ piotr @ beer @ ( sK3_SY714 @ SV12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(279,plain,
! [SV79: mu,SV51: mu,SV97: $i,SV13: $i] :
( ( ~ ( a3 @ SV13 @ SV97 )
| ~ ~ ( ~ ( likes @ SV51 @ SV79 @ SV97 )
| ~ ~ ( ~ ! [SY811: $i] :
( ~ ( a1 @ SV97 @ SY811 )
| ( likes @ SV51 @ SV79 @ SY811 ) )
| ~ ! [SY812: $i] :
( ~ ( a2 @ SV97 @ SY812 )
| ( likes @ SV51 @ SV79 @ SY812 ) ) ) )
| ( very_much_likes @ SV51 @ SV79 @ SV97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(280,plain,
! [SV80: mu,SV52: mu,SV14: $i] :
( ( ( ~ ! [SY806: $i] :
( ~ ( a3 @ SV14 @ SY806 )
| ( very_much_likes @ SV52 @ SV80 @ SY806 ) ) )
= $true )
| ( ( very_much_likes @ SV52 @ SV80 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(281,plain,
! [SV81: mu,SV53: mu,SV15: $i] :
( ( ( ~ ~ ! [SY807: $i] :
( ~ ( a3 @ SV15 @ SY807 )
| ~ ( very_much_likes @ SV53 @ SV81 @ SY807 ) ) )
= $true )
| ( ( likes @ SV53 @ SV81 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(282,plain,
! [SV82: mu,SV54: mu,SV16: $i] :
( ( ( ~ ~ ! [SY808: $i] :
( ~ ( a1 @ SV16 @ SY808 )
| ~ ( likes @ SV54 @ SV82 @ SY808 ) ) )
= $true )
| ( ( possibly_likes @ SV54 @ SV82 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(283,plain,
! [SV83: mu,SV55: mu,SV17: $i] :
( ( ( ~ ~ ! [SY809: $i] :
( ~ ( a2 @ SV17 @ SY809 )
| ~ ( likes @ SV55 @ SV83 @ SY809 ) ) )
= $true )
| ( ( possibly_likes @ SV55 @ SV83 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(284,plain,
! [SV84: mu,SV56: mu,SV18: $i] :
( ( ( ~ ~ ! [SY810: $i] :
( ~ ( a3 @ SV18 @ SY810 )
| ~ ( likes @ SV56 @ SV84 @ SY810 ) ) )
= $true )
| ( ( possibly_likes @ SV56 @ SV84 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(285,plain,
! [SV98: mu,SV19: mu] :
( ( ~ ( very_much_likes @ SV19 @ SV98 @ sK1_SY22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(286,plain,
! [SV85: $i,SV57: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( a2 @ SV20 @ SV57 )
| ~ ( a2 @ SV57 @ SV85 ) ) )
= $true )
| ( ( a2 @ SV20 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(287,plain,
! [SV86: $i,SV58: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ( a3 @ SV21 @ SV58 )
| ~ ( a3 @ SV58 @ SV86 ) ) )
= $true )
| ( ( a3 @ SV21 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(288,plain,
! [SV87: $i,SV59: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ( a2 @ SV22 @ SV59 )
| ~ ( a1 @ SV59 @ SV87 ) ) )
= $true )
| ( ( a1 @ SV22 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(289,plain,
! [SV88: $i,SV60: $i,SV23: $i] :
( ( ( ~ ~ ( ~ ( a1 @ SV23 @ SV60 )
| ~ ( a1 @ SV23 @ SV88 ) ) )
= $true )
| ( ( a1 @ SV60 @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(290,plain,
! [SV89: $i,SV61: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ( a1 @ SV24 @ SV61 )
| ~ ( a2 @ SV61 @ SV89 ) ) )
= $true )
| ( ( a2 @ SV24 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(291,plain,
! [SV90: $i,SV62: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ( a1 @ SV25 @ SV62 )
| ~ ( a3 @ SV62 @ SV90 ) ) )
= $true )
| ( ( a3 @ SV25 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(292,plain,
! [SV91: $i,SV63: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( a2 @ SV26 @ SV63 )
| ~ ( a3 @ SV63 @ SV91 ) ) )
= $true )
| ( ( a3 @ SV26 @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(293,plain,
! [SV64: $i,SV27: $i] :
( ( ( a2 @ SV27 @ SV64 )
= $false )
| ( ( a3 @ SV27 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(294,plain,
! [SV92: $i,SV65: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( a1 @ SV28 @ SV65 )
| ~ ( a1 @ SV65 @ SV92 ) ) )
= $true )
| ( ( a1 @ SV28 @ SV92 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(295,plain,
! [SV29: $i] :
( ( a3 @ SV29 @ ( sK4_SY753 @ SV29 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(296,plain,
! [SV30: $i] :
( ( a1 @ SV30 @ ( sK5_SY754 @ SV30 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(297,plain,
! [SV93: $i,SV66: $i,SV31: $i] :
( ( ( ~ ~ ( ~ ( a3 @ SV31 @ SV66 )
| ~ ( a3 @ SV31 @ SV93 ) ) )
= $true )
| ( ( a3 @ SV66 @ SV93 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(298,plain,
! [SV67: $i,SV32: $i] :
( ( ( a1 @ SV32 @ SV67 )
= $false )
| ( ( a3 @ SV32 @ SV67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(299,plain,
! [SV94: $i,SV68: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( a2 @ SV33 @ SV68 )
| ~ ( a2 @ SV68 @ SV94 ) ) )
= $true )
| ( ( a2 @ SV33 @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(300,plain,
! [SV95: $i,SV69: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ( a2 @ SV34 @ SV69 )
| ~ ( a2 @ SV34 @ SV95 ) ) )
= $true )
| ( ( a2 @ SV69 @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(301,plain,
! [SV96: $i,SV70: $i,SV35: $i] :
( ( ( ~ ~ ( ~ ( a1 @ SV35 @ SV70 )
| ~ ( a1 @ SV70 @ SV96 ) ) )
= $true )
| ( ( a1 @ SV35 @ SV96 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(302,plain,
! [SV36: $i] :
( ( a2 @ SV36 @ ( sK6_SY764 @ SV36 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(303,plain,
! [SV71: $i,SV37: $i] :
( ( ( a1 @ SV37 @ SV71 )
= $false )
| ( ( a1 @ SV71 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(304,plain,
! [SV72: $i,SV38: $i] :
( ( ( a2 @ SV38 @ SV72 )
= $false )
| ( ( a2 @ SV72 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(305,plain,
! [SV73: $i,SV39: $i] :
( ( ( a3 @ SV39 @ SV73 )
= $false )
| ( ( a3 @ SV73 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(306,plain,
! [SV74: $i,SV40: $i] :
( ( ( a1 @ SV40 @ SV74 )
= $false )
| ( ( a2 @ SV40 @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(307,plain,
! [SV43: mu,SV75: $i,SV3: $i] :
( ( ( a1 @ SV3 @ SV75 )
= $false )
| ( ( ~ ~ ! [SY801: $i] :
( ~ ( a1 @ SV75 @ SY801 )
| ~ ( likes @ SV43 @ pepsi @ SY801 ) )
| ( likes @ SV43 @ cola @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(308,plain,
! [SV44: mu,SV76: $i,SV4: $i] :
( ( ( a1 @ SV4 @ SV76 )
= $false )
| ( ( ~ ~ ! [SY802: $i] :
( ~ ( a1 @ SV76 @ SY802 )
| ~ ( likes @ SV44 @ cola @ SY802 ) )
| ( likes @ SV44 @ pepsi @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(309,plain,
! [SV48: mu,SV77: $i,SV8: $i] :
( ( ( a2 @ SV8 @ SV77 )
= $false )
| ( ( ~ ( likes @ SV48 @ pepsi @ SV77 )
| ( likes @ SV48 @ cola @ SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(310,plain,
! [SV49: mu,SV78: $i,SV9: $i] :
( ( ( a2 @ SV9 @ SV78 )
= $false )
| ( ( ~ ( likes @ SV49 @ cola @ SV78 )
| ( likes @ SV49 @ pepsi @ SV78 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(311,plain,
! [SV11: $i] :
( ( a3 @ SV11 @ ( sK2_SY713 @ SV11 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(312,plain,
! [SV11: $i] :
( ( likes @ piotr @ pepsi @ ( sK2_SY713 @ SV11 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(313,plain,
! [SV12: $i] :
( ( a1 @ SV12 @ ( sK3_SY714 @ SV12 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(314,plain,
! [SV12: $i] :
( ( likes @ piotr @ beer @ ( sK3_SY714 @ SV12 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(315,plain,
! [SV79: mu,SV51: mu,SV97: $i,SV13: $i] :
( ( ( ~ ( a3 @ SV13 @ SV97 ) )
= $true )
| ( ( ~ ~ ( ~ ( likes @ SV51 @ SV79 @ SV97 )
| ~ ~ ( ~ ! [SY811: $i] :
( ~ ( a1 @ SV97 @ SY811 )
| ( likes @ SV51 @ SV79 @ SY811 ) )
| ~ ! [SY812: $i] :
( ~ ( a2 @ SV97 @ SY812 )
| ( likes @ SV51 @ SV79 @ SY812 ) ) ) )
| ( very_much_likes @ SV51 @ SV79 @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(316,plain,
! [SV80: mu,SV52: mu,SV14: $i] :
( ( ( ! [SY806: $i] :
( ~ ( a3 @ SV14 @ SY806 )
| ( very_much_likes @ SV52 @ SV80 @ SY806 ) ) )
= $false )
| ( ( very_much_likes @ SV52 @ SV80 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(317,plain,
! [SV81: mu,SV53: mu,SV15: $i] :
( ( ( ~ ! [SY807: $i] :
( ~ ( a3 @ SV15 @ SY807 )
| ~ ( very_much_likes @ SV53 @ SV81 @ SY807 ) ) )
= $false )
| ( ( likes @ SV53 @ SV81 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(318,plain,
! [SV82: mu,SV54: mu,SV16: $i] :
( ( ( ~ ! [SY808: $i] :
( ~ ( a1 @ SV16 @ SY808 )
| ~ ( likes @ SV54 @ SV82 @ SY808 ) ) )
= $false )
| ( ( possibly_likes @ SV54 @ SV82 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(319,plain,
! [SV83: mu,SV55: mu,SV17: $i] :
( ( ( ~ ! [SY809: $i] :
( ~ ( a2 @ SV17 @ SY809 )
| ~ ( likes @ SV55 @ SV83 @ SY809 ) ) )
= $false )
| ( ( possibly_likes @ SV55 @ SV83 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(320,plain,
! [SV84: mu,SV56: mu,SV18: $i] :
( ( ( ~ ! [SY810: $i] :
( ~ ( a3 @ SV18 @ SY810 )
| ~ ( likes @ SV56 @ SV84 @ SY810 ) ) )
= $false )
| ( ( possibly_likes @ SV56 @ SV84 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(321,plain,
! [SV98: mu,SV19: mu] :
( ( very_much_likes @ SV19 @ SV98 @ sK1_SY22 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(322,plain,
! [SV85: $i,SV57: $i,SV20: $i] :
( ( ( ~ ( ~ ( a2 @ SV20 @ SV57 )
| ~ ( a2 @ SV57 @ SV85 ) ) )
= $false )
| ( ( a2 @ SV20 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(323,plain,
! [SV86: $i,SV58: $i,SV21: $i] :
( ( ( ~ ( ~ ( a3 @ SV21 @ SV58 )
| ~ ( a3 @ SV58 @ SV86 ) ) )
= $false )
| ( ( a3 @ SV21 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(324,plain,
! [SV87: $i,SV59: $i,SV22: $i] :
( ( ( ~ ( ~ ( a2 @ SV22 @ SV59 )
| ~ ( a1 @ SV59 @ SV87 ) ) )
= $false )
| ( ( a1 @ SV22 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(325,plain,
! [SV88: $i,SV60: $i,SV23: $i] :
( ( ( ~ ( ~ ( a1 @ SV23 @ SV60 )
| ~ ( a1 @ SV23 @ SV88 ) ) )
= $false )
| ( ( a1 @ SV60 @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(326,plain,
! [SV89: $i,SV61: $i,SV24: $i] :
( ( ( ~ ( ~ ( a1 @ SV24 @ SV61 )
| ~ ( a2 @ SV61 @ SV89 ) ) )
= $false )
| ( ( a2 @ SV24 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(327,plain,
! [SV90: $i,SV62: $i,SV25: $i] :
( ( ( ~ ( ~ ( a1 @ SV25 @ SV62 )
| ~ ( a3 @ SV62 @ SV90 ) ) )
= $false )
| ( ( a3 @ SV25 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(328,plain,
! [SV91: $i,SV63: $i,SV26: $i] :
( ( ( ~ ( ~ ( a2 @ SV26 @ SV63 )
| ~ ( a3 @ SV63 @ SV91 ) ) )
= $false )
| ( ( a3 @ SV26 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(329,plain,
! [SV92: $i,SV65: $i,SV28: $i] :
( ( ( ~ ( ~ ( a1 @ SV28 @ SV65 )
| ~ ( a1 @ SV65 @ SV92 ) ) )
= $false )
| ( ( a1 @ SV28 @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(330,plain,
! [SV93: $i,SV66: $i,SV31: $i] :
( ( ( ~ ( ~ ( a3 @ SV31 @ SV66 )
| ~ ( a3 @ SV31 @ SV93 ) ) )
= $false )
| ( ( a3 @ SV66 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(331,plain,
! [SV94: $i,SV68: $i,SV33: $i] :
( ( ( ~ ( ~ ( a2 @ SV33 @ SV68 )
| ~ ( a2 @ SV68 @ SV94 ) ) )
= $false )
| ( ( a2 @ SV33 @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(332,plain,
! [SV95: $i,SV69: $i,SV34: $i] :
( ( ( ~ ( ~ ( a2 @ SV34 @ SV69 )
| ~ ( a2 @ SV34 @ SV95 ) ) )
= $false )
| ( ( a2 @ SV69 @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(333,plain,
! [SV96: $i,SV70: $i,SV35: $i] :
( ( ( ~ ( ~ ( a1 @ SV35 @ SV70 )
| ~ ( a1 @ SV70 @ SV96 ) ) )
= $false )
| ( ( a1 @ SV35 @ SV96 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(334,plain,
! [SV3: $i,SV43: mu,SV75: $i] :
( ( ( ~ ~ ! [SY801: $i] :
( ~ ( a1 @ SV75 @ SY801 )
| ~ ( likes @ SV43 @ pepsi @ SY801 ) ) )
= $true )
| ( ( likes @ SV43 @ cola @ SV75 )
= $true )
| ( ( a1 @ SV3 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(335,plain,
! [SV4: $i,SV44: mu,SV76: $i] :
( ( ( ~ ~ ! [SY802: $i] :
( ~ ( a1 @ SV76 @ SY802 )
| ~ ( likes @ SV44 @ cola @ SY802 ) ) )
= $true )
| ( ( likes @ SV44 @ pepsi @ SV76 )
= $true )
| ( ( a1 @ SV4 @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(336,plain,
! [SV8: $i,SV77: $i,SV48: mu] :
( ( ( ~ ( likes @ SV48 @ pepsi @ SV77 ) )
= $true )
| ( ( likes @ SV48 @ cola @ SV77 )
= $true )
| ( ( a2 @ SV8 @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(337,plain,
! [SV9: $i,SV78: $i,SV49: mu] :
( ( ( ~ ( likes @ SV49 @ cola @ SV78 ) )
= $true )
| ( ( likes @ SV49 @ pepsi @ SV78 )
= $true )
| ( ( a2 @ SV9 @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(338,plain,
! [SV79: mu,SV51: mu,SV97: $i,SV13: $i] :
( ( ( a3 @ SV13 @ SV97 )
= $false )
| ( ( ~ ~ ( ~ ( likes @ SV51 @ SV79 @ SV97 )
| ~ ~ ( ~ ! [SY811: $i] :
( ~ ( a1 @ SV97 @ SY811 )
| ( likes @ SV51 @ SV79 @ SY811 ) )
| ~ ! [SY812: $i] :
( ~ ( a2 @ SV97 @ SY812 )
| ( likes @ SV51 @ SV79 @ SY812 ) ) ) )
| ( very_much_likes @ SV51 @ SV79 @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(339,plain,
! [SV52: mu,SV80: mu,SV14: $i] :
( ( ( ~ ( a3 @ SV14 @ ( sK7_SY806 @ SV80 @ SV52 @ SV14 ) )
| ( very_much_likes @ SV52 @ SV80 @ ( sK7_SY806 @ SV80 @ SV52 @ SV14 ) ) )
= $false )
| ( ( very_much_likes @ SV52 @ SV80 @ SV14 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[316]) ).
thf(340,plain,
! [SV81: mu,SV53: mu,SV15: $i] :
( ( ( ! [SY807: $i] :
( ~ ( a3 @ SV15 @ SY807 )
| ~ ( very_much_likes @ SV53 @ SV81 @ SY807 ) ) )
= $true )
| ( ( likes @ SV53 @ SV81 @ SV15 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(341,plain,
! [SV82: mu,SV54: mu,SV16: $i] :
( ( ( ! [SY808: $i] :
( ~ ( a1 @ SV16 @ SY808 )
| ~ ( likes @ SV54 @ SV82 @ SY808 ) ) )
= $true )
| ( ( possibly_likes @ SV54 @ SV82 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(342,plain,
! [SV83: mu,SV55: mu,SV17: $i] :
( ( ( ! [SY809: $i] :
( ~ ( a2 @ SV17 @ SY809 )
| ~ ( likes @ SV55 @ SV83 @ SY809 ) ) )
= $true )
| ( ( possibly_likes @ SV55 @ SV83 @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(343,plain,
! [SV84: mu,SV56: mu,SV18: $i] :
( ( ( ! [SY810: $i] :
( ~ ( a3 @ SV18 @ SY810 )
| ~ ( likes @ SV56 @ SV84 @ SY810 ) ) )
= $true )
| ( ( possibly_likes @ SV56 @ SV84 @ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(344,plain,
! [SV85: $i,SV57: $i,SV20: $i] :
( ( ( ~ ( a2 @ SV20 @ SV57 )
| ~ ( a2 @ SV57 @ SV85 ) )
= $true )
| ( ( a2 @ SV20 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(345,plain,
! [SV86: $i,SV58: $i,SV21: $i] :
( ( ( ~ ( a3 @ SV21 @ SV58 )
| ~ ( a3 @ SV58 @ SV86 ) )
= $true )
| ( ( a3 @ SV21 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(346,plain,
! [SV87: $i,SV59: $i,SV22: $i] :
( ( ( ~ ( a2 @ SV22 @ SV59 )
| ~ ( a1 @ SV59 @ SV87 ) )
= $true )
| ( ( a1 @ SV22 @ SV87 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(347,plain,
! [SV88: $i,SV60: $i,SV23: $i] :
( ( ( ~ ( a1 @ SV23 @ SV60 )
| ~ ( a1 @ SV23 @ SV88 ) )
= $true )
| ( ( a1 @ SV60 @ SV88 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(348,plain,
! [SV89: $i,SV61: $i,SV24: $i] :
( ( ( ~ ( a1 @ SV24 @ SV61 )
| ~ ( a2 @ SV61 @ SV89 ) )
= $true )
| ( ( a2 @ SV24 @ SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(349,plain,
! [SV90: $i,SV62: $i,SV25: $i] :
( ( ( ~ ( a1 @ SV25 @ SV62 )
| ~ ( a3 @ SV62 @ SV90 ) )
= $true )
| ( ( a3 @ SV25 @ SV90 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(350,plain,
! [SV91: $i,SV63: $i,SV26: $i] :
( ( ( ~ ( a2 @ SV26 @ SV63 )
| ~ ( a3 @ SV63 @ SV91 ) )
= $true )
| ( ( a3 @ SV26 @ SV91 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(351,plain,
! [SV92: $i,SV65: $i,SV28: $i] :
( ( ( ~ ( a1 @ SV28 @ SV65 )
| ~ ( a1 @ SV65 @ SV92 ) )
= $true )
| ( ( a1 @ SV28 @ SV92 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(352,plain,
! [SV93: $i,SV66: $i,SV31: $i] :
( ( ( ~ ( a3 @ SV31 @ SV66 )
| ~ ( a3 @ SV31 @ SV93 ) )
= $true )
| ( ( a3 @ SV66 @ SV93 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(353,plain,
! [SV94: $i,SV68: $i,SV33: $i] :
( ( ( ~ ( a2 @ SV33 @ SV68 )
| ~ ( a2 @ SV68 @ SV94 ) )
= $true )
| ( ( a2 @ SV33 @ SV94 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(354,plain,
! [SV95: $i,SV69: $i,SV34: $i] :
( ( ( ~ ( a2 @ SV34 @ SV69 )
| ~ ( a2 @ SV34 @ SV95 ) )
= $true )
| ( ( a2 @ SV69 @ SV95 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(355,plain,
! [SV96: $i,SV70: $i,SV35: $i] :
( ( ( ~ ( a1 @ SV35 @ SV70 )
| ~ ( a1 @ SV70 @ SV96 ) )
= $true )
| ( ( a1 @ SV35 @ SV96 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(356,plain,
! [SV3: $i,SV43: mu,SV75: $i] :
( ( ( ~ ! [SY801: $i] :
( ~ ( a1 @ SV75 @ SY801 )
| ~ ( likes @ SV43 @ pepsi @ SY801 ) ) )
= $false )
| ( ( likes @ SV43 @ cola @ SV75 )
= $true )
| ( ( a1 @ SV3 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(357,plain,
! [SV4: $i,SV44: mu,SV76: $i] :
( ( ( ~ ! [SY802: $i] :
( ~ ( a1 @ SV76 @ SY802 )
| ~ ( likes @ SV44 @ cola @ SY802 ) ) )
= $false )
| ( ( likes @ SV44 @ pepsi @ SV76 )
= $true )
| ( ( a1 @ SV4 @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(358,plain,
! [SV8: $i,SV77: $i,SV48: mu] :
( ( ( likes @ SV48 @ pepsi @ SV77 )
= $false )
| ( ( likes @ SV48 @ cola @ SV77 )
= $true )
| ( ( a2 @ SV8 @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(359,plain,
! [SV9: $i,SV78: $i,SV49: mu] :
( ( ( likes @ SV49 @ cola @ SV78 )
= $false )
| ( ( likes @ SV49 @ pepsi @ SV78 )
= $true )
| ( ( a2 @ SV9 @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(360,plain,
! [SV13: $i,SV97: $i,SV79: mu,SV51: mu] :
( ( ( ~ ~ ( ~ ( likes @ SV51 @ SV79 @ SV97 )
| ~ ~ ( ~ ! [SY811: $i] :
( ~ ( a1 @ SV97 @ SY811 )
| ( likes @ SV51 @ SV79 @ SY811 ) )
| ~ ! [SY812: $i] :
( ~ ( a2 @ SV97 @ SY812 )
| ( likes @ SV51 @ SV79 @ SY812 ) ) ) ) )
= $true )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(361,plain,
! [SV52: mu,SV80: mu,SV14: $i] :
( ( ( ~ ( a3 @ SV14 @ ( sK7_SY806 @ SV80 @ SV52 @ SV14 ) ) )
= $false )
| ( ( very_much_likes @ SV52 @ SV80 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(362,plain,
! [SV14: $i,SV80: mu,SV52: mu] :
( ( ( very_much_likes @ SV52 @ SV80 @ ( sK7_SY806 @ SV80 @ SV52 @ SV14 ) )
= $false )
| ( ( very_much_likes @ SV52 @ SV80 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(363,plain,
! [SV81: mu,SV53: mu,SV99: $i,SV15: $i] :
( ( ( ~ ( a3 @ SV15 @ SV99 )
| ~ ( very_much_likes @ SV53 @ SV81 @ SV99 ) )
= $true )
| ( ( likes @ SV53 @ SV81 @ SV15 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(364,plain,
! [SV82: mu,SV54: mu,SV100: $i,SV16: $i] :
( ( ( ~ ( a1 @ SV16 @ SV100 )
| ~ ( likes @ SV54 @ SV82 @ SV100 ) )
= $true )
| ( ( possibly_likes @ SV54 @ SV82 @ SV16 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[341]) ).
thf(365,plain,
! [SV83: mu,SV55: mu,SV101: $i,SV17: $i] :
( ( ( ~ ( a2 @ SV17 @ SV101 )
| ~ ( likes @ SV55 @ SV83 @ SV101 ) )
= $true )
| ( ( possibly_likes @ SV55 @ SV83 @ SV17 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(366,plain,
! [SV84: mu,SV56: mu,SV102: $i,SV18: $i] :
( ( ( ~ ( a3 @ SV18 @ SV102 )
| ~ ( likes @ SV56 @ SV84 @ SV102 ) )
= $true )
| ( ( possibly_likes @ SV56 @ SV84 @ SV18 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(367,plain,
! [SV85: $i,SV57: $i,SV20: $i] :
( ( ( ~ ( a2 @ SV20 @ SV57 ) )
= $true )
| ( ( ~ ( a2 @ SV57 @ SV85 ) )
= $true )
| ( ( a2 @ SV20 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(368,plain,
! [SV86: $i,SV58: $i,SV21: $i] :
( ( ( ~ ( a3 @ SV21 @ SV58 ) )
= $true )
| ( ( ~ ( a3 @ SV58 @ SV86 ) )
= $true )
| ( ( a3 @ SV21 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(369,plain,
! [SV87: $i,SV59: $i,SV22: $i] :
( ( ( ~ ( a2 @ SV22 @ SV59 ) )
= $true )
| ( ( ~ ( a1 @ SV59 @ SV87 ) )
= $true )
| ( ( a1 @ SV22 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(370,plain,
! [SV88: $i,SV60: $i,SV23: $i] :
( ( ( ~ ( a1 @ SV23 @ SV60 ) )
= $true )
| ( ( ~ ( a1 @ SV23 @ SV88 ) )
= $true )
| ( ( a1 @ SV60 @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(371,plain,
! [SV89: $i,SV61: $i,SV24: $i] :
( ( ( ~ ( a1 @ SV24 @ SV61 ) )
= $true )
| ( ( ~ ( a2 @ SV61 @ SV89 ) )
= $true )
| ( ( a2 @ SV24 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(372,plain,
! [SV90: $i,SV62: $i,SV25: $i] :
( ( ( ~ ( a1 @ SV25 @ SV62 ) )
= $true )
| ( ( ~ ( a3 @ SV62 @ SV90 ) )
= $true )
| ( ( a3 @ SV25 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(373,plain,
! [SV91: $i,SV63: $i,SV26: $i] :
( ( ( ~ ( a2 @ SV26 @ SV63 ) )
= $true )
| ( ( ~ ( a3 @ SV63 @ SV91 ) )
= $true )
| ( ( a3 @ SV26 @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(374,plain,
! [SV92: $i,SV65: $i,SV28: $i] :
( ( ( ~ ( a1 @ SV28 @ SV65 ) )
= $true )
| ( ( ~ ( a1 @ SV65 @ SV92 ) )
= $true )
| ( ( a1 @ SV28 @ SV92 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(375,plain,
! [SV93: $i,SV66: $i,SV31: $i] :
( ( ( ~ ( a3 @ SV31 @ SV66 ) )
= $true )
| ( ( ~ ( a3 @ SV31 @ SV93 ) )
= $true )
| ( ( a3 @ SV66 @ SV93 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(376,plain,
! [SV94: $i,SV68: $i,SV33: $i] :
( ( ( ~ ( a2 @ SV33 @ SV68 ) )
= $true )
| ( ( ~ ( a2 @ SV68 @ SV94 ) )
= $true )
| ( ( a2 @ SV33 @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(377,plain,
! [SV95: $i,SV69: $i,SV34: $i] :
( ( ( ~ ( a2 @ SV34 @ SV69 ) )
= $true )
| ( ( ~ ( a2 @ SV34 @ SV95 ) )
= $true )
| ( ( a2 @ SV69 @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[354]) ).
thf(378,plain,
! [SV96: $i,SV70: $i,SV35: $i] :
( ( ( ~ ( a1 @ SV35 @ SV70 ) )
= $true )
| ( ( ~ ( a1 @ SV70 @ SV96 ) )
= $true )
| ( ( a1 @ SV35 @ SV96 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(379,plain,
! [SV3: $i,SV43: mu,SV75: $i] :
( ( ( ! [SY801: $i] :
( ~ ( a1 @ SV75 @ SY801 )
| ~ ( likes @ SV43 @ pepsi @ SY801 ) ) )
= $true )
| ( ( likes @ SV43 @ cola @ SV75 )
= $true )
| ( ( a1 @ SV3 @ SV75 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(380,plain,
! [SV4: $i,SV44: mu,SV76: $i] :
( ( ( ! [SY802: $i] :
( ~ ( a1 @ SV76 @ SY802 )
| ~ ( likes @ SV44 @ cola @ SY802 ) ) )
= $true )
| ( ( likes @ SV44 @ pepsi @ SV76 )
= $true )
| ( ( a1 @ SV4 @ SV76 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(381,plain,
! [SV13: $i,SV97: $i,SV79: mu,SV51: mu] :
( ( ( ~ ( ~ ( likes @ SV51 @ SV79 @ SV97 )
| ~ ~ ( ~ ! [SY811: $i] :
( ~ ( a1 @ SV97 @ SY811 )
| ( likes @ SV51 @ SV79 @ SY811 ) )
| ~ ! [SY812: $i] :
( ~ ( a2 @ SV97 @ SY812 )
| ( likes @ SV51 @ SV79 @ SY812 ) ) ) ) )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(382,plain,
! [SV52: mu,SV80: mu,SV14: $i] :
( ( ( a3 @ SV14 @ ( sK7_SY806 @ SV80 @ SV52 @ SV14 ) )
= $true )
| ( ( very_much_likes @ SV52 @ SV80 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(383,plain,
! [SV81: mu,SV53: mu,SV99: $i,SV15: $i] :
( ( ( ~ ( a3 @ SV15 @ SV99 ) )
= $true )
| ( ( ~ ( very_much_likes @ SV53 @ SV81 @ SV99 ) )
= $true )
| ( ( likes @ SV53 @ SV81 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(384,plain,
! [SV82: mu,SV54: mu,SV100: $i,SV16: $i] :
( ( ( ~ ( a1 @ SV16 @ SV100 ) )
= $true )
| ( ( ~ ( likes @ SV54 @ SV82 @ SV100 ) )
= $true )
| ( ( possibly_likes @ SV54 @ SV82 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(385,plain,
! [SV83: mu,SV55: mu,SV101: $i,SV17: $i] :
( ( ( ~ ( a2 @ SV17 @ SV101 ) )
= $true )
| ( ( ~ ( likes @ SV55 @ SV83 @ SV101 ) )
= $true )
| ( ( possibly_likes @ SV55 @ SV83 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(386,plain,
! [SV84: mu,SV56: mu,SV102: $i,SV18: $i] :
( ( ( ~ ( a3 @ SV18 @ SV102 ) )
= $true )
| ( ( ~ ( likes @ SV56 @ SV84 @ SV102 ) )
= $true )
| ( ( possibly_likes @ SV56 @ SV84 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(387,plain,
! [SV85: $i,SV57: $i,SV20: $i] :
( ( ( a2 @ SV20 @ SV57 )
= $false )
| ( ( ~ ( a2 @ SV57 @ SV85 ) )
= $true )
| ( ( a2 @ SV20 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(388,plain,
! [SV86: $i,SV58: $i,SV21: $i] :
( ( ( a3 @ SV21 @ SV58 )
= $false )
| ( ( ~ ( a3 @ SV58 @ SV86 ) )
= $true )
| ( ( a3 @ SV21 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(389,plain,
! [SV87: $i,SV59: $i,SV22: $i] :
( ( ( a2 @ SV22 @ SV59 )
= $false )
| ( ( ~ ( a1 @ SV59 @ SV87 ) )
= $true )
| ( ( a1 @ SV22 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(390,plain,
! [SV88: $i,SV60: $i,SV23: $i] :
( ( ( a1 @ SV23 @ SV60 )
= $false )
| ( ( ~ ( a1 @ SV23 @ SV88 ) )
= $true )
| ( ( a1 @ SV60 @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(391,plain,
! [SV89: $i,SV61: $i,SV24: $i] :
( ( ( a1 @ SV24 @ SV61 )
= $false )
| ( ( ~ ( a2 @ SV61 @ SV89 ) )
= $true )
| ( ( a2 @ SV24 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(392,plain,
! [SV90: $i,SV62: $i,SV25: $i] :
( ( ( a1 @ SV25 @ SV62 )
= $false )
| ( ( ~ ( a3 @ SV62 @ SV90 ) )
= $true )
| ( ( a3 @ SV25 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(393,plain,
! [SV91: $i,SV63: $i,SV26: $i] :
( ( ( a2 @ SV26 @ SV63 )
= $false )
| ( ( ~ ( a3 @ SV63 @ SV91 ) )
= $true )
| ( ( a3 @ SV26 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(394,plain,
! [SV92: $i,SV65: $i,SV28: $i] :
( ( ( a1 @ SV28 @ SV65 )
= $false )
| ( ( ~ ( a1 @ SV65 @ SV92 ) )
= $true )
| ( ( a1 @ SV28 @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(395,plain,
! [SV93: $i,SV66: $i,SV31: $i] :
( ( ( a3 @ SV31 @ SV66 )
= $false )
| ( ( ~ ( a3 @ SV31 @ SV93 ) )
= $true )
| ( ( a3 @ SV66 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(396,plain,
! [SV94: $i,SV68: $i,SV33: $i] :
( ( ( a2 @ SV33 @ SV68 )
= $false )
| ( ( ~ ( a2 @ SV68 @ SV94 ) )
= $true )
| ( ( a2 @ SV33 @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(397,plain,
! [SV95: $i,SV69: $i,SV34: $i] :
( ( ( a2 @ SV34 @ SV69 )
= $false )
| ( ( ~ ( a2 @ SV34 @ SV95 ) )
= $true )
| ( ( a2 @ SV69 @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(398,plain,
! [SV96: $i,SV70: $i,SV35: $i] :
( ( ( a1 @ SV35 @ SV70 )
= $false )
| ( ( ~ ( a1 @ SV70 @ SV96 ) )
= $true )
| ( ( a1 @ SV35 @ SV96 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(399,plain,
! [SV3: $i,SV43: mu,SV103: $i,SV75: $i] :
( ( ( ~ ( a1 @ SV75 @ SV103 )
| ~ ( likes @ SV43 @ pepsi @ SV103 ) )
= $true )
| ( ( likes @ SV43 @ cola @ SV75 )
= $true )
| ( ( a1 @ SV3 @ SV75 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(400,plain,
! [SV4: $i,SV44: mu,SV104: $i,SV76: $i] :
( ( ( ~ ( a1 @ SV76 @ SV104 )
| ~ ( likes @ SV44 @ cola @ SV104 ) )
= $true )
| ( ( likes @ SV44 @ pepsi @ SV76 )
= $true )
| ( ( a1 @ SV4 @ SV76 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(401,plain,
! [SV13: $i,SV97: $i,SV79: mu,SV51: mu] :
( ( ( ~ ( likes @ SV51 @ SV79 @ SV97 )
| ~ ~ ( ~ ! [SY811: $i] :
( ~ ( a1 @ SV97 @ SY811 )
| ( likes @ SV51 @ SV79 @ SY811 ) )
| ~ ! [SY812: $i] :
( ~ ( a2 @ SV97 @ SY812 )
| ( likes @ SV51 @ SV79 @ SY812 ) ) ) )
= $true )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(402,plain,
! [SV81: mu,SV53: mu,SV99: $i,SV15: $i] :
( ( ( a3 @ SV15 @ SV99 )
= $false )
| ( ( ~ ( very_much_likes @ SV53 @ SV81 @ SV99 ) )
= $true )
| ( ( likes @ SV53 @ SV81 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(403,plain,
! [SV82: mu,SV54: mu,SV100: $i,SV16: $i] :
( ( ( a1 @ SV16 @ SV100 )
= $false )
| ( ( ~ ( likes @ SV54 @ SV82 @ SV100 ) )
= $true )
| ( ( possibly_likes @ SV54 @ SV82 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(404,plain,
! [SV83: mu,SV55: mu,SV101: $i,SV17: $i] :
( ( ( a2 @ SV17 @ SV101 )
= $false )
| ( ( ~ ( likes @ SV55 @ SV83 @ SV101 ) )
= $true )
| ( ( possibly_likes @ SV55 @ SV83 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(405,plain,
! [SV84: mu,SV56: mu,SV102: $i,SV18: $i] :
( ( ( a3 @ SV18 @ SV102 )
= $false )
| ( ( ~ ( likes @ SV56 @ SV84 @ SV102 ) )
= $true )
| ( ( possibly_likes @ SV56 @ SV84 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(406,plain,
! [SV20: $i,SV85: $i,SV57: $i] :
( ( ( a2 @ SV57 @ SV85 )
= $false )
| ( ( a2 @ SV20 @ SV57 )
= $false )
| ( ( a2 @ SV20 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(407,plain,
! [SV21: $i,SV86: $i,SV58: $i] :
( ( ( a3 @ SV58 @ SV86 )
= $false )
| ( ( a3 @ SV21 @ SV58 )
= $false )
| ( ( a3 @ SV21 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(408,plain,
! [SV22: $i,SV87: $i,SV59: $i] :
( ( ( a1 @ SV59 @ SV87 )
= $false )
| ( ( a2 @ SV22 @ SV59 )
= $false )
| ( ( a1 @ SV22 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(409,plain,
! [SV60: $i,SV88: $i,SV23: $i] :
( ( ( a1 @ SV23 @ SV88 )
= $false )
| ( ( a1 @ SV23 @ SV60 )
= $false )
| ( ( a1 @ SV60 @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(410,plain,
! [SV24: $i,SV89: $i,SV61: $i] :
( ( ( a2 @ SV61 @ SV89 )
= $false )
| ( ( a1 @ SV24 @ SV61 )
= $false )
| ( ( a2 @ SV24 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(411,plain,
! [SV25: $i,SV90: $i,SV62: $i] :
( ( ( a3 @ SV62 @ SV90 )
= $false )
| ( ( a1 @ SV25 @ SV62 )
= $false )
| ( ( a3 @ SV25 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(412,plain,
! [SV26: $i,SV91: $i,SV63: $i] :
( ( ( a3 @ SV63 @ SV91 )
= $false )
| ( ( a2 @ SV26 @ SV63 )
= $false )
| ( ( a3 @ SV26 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(413,plain,
! [SV28: $i,SV92: $i,SV65: $i] :
( ( ( a1 @ SV65 @ SV92 )
= $false )
| ( ( a1 @ SV28 @ SV65 )
= $false )
| ( ( a1 @ SV28 @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(414,plain,
! [SV66: $i,SV93: $i,SV31: $i] :
( ( ( a3 @ SV31 @ SV93 )
= $false )
| ( ( a3 @ SV31 @ SV66 )
= $false )
| ( ( a3 @ SV66 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(415,plain,
! [SV33: $i,SV94: $i,SV68: $i] :
( ( ( a2 @ SV68 @ SV94 )
= $false )
| ( ( a2 @ SV33 @ SV68 )
= $false )
| ( ( a2 @ SV33 @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(416,plain,
! [SV69: $i,SV95: $i,SV34: $i] :
( ( ( a2 @ SV34 @ SV95 )
= $false )
| ( ( a2 @ SV34 @ SV69 )
= $false )
| ( ( a2 @ SV69 @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(417,plain,
! [SV35: $i,SV96: $i,SV70: $i] :
( ( ( a1 @ SV70 @ SV96 )
= $false )
| ( ( a1 @ SV35 @ SV70 )
= $false )
| ( ( a1 @ SV35 @ SV96 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(418,plain,
! [SV3: $i,SV43: mu,SV103: $i,SV75: $i] :
( ( ( ~ ( a1 @ SV75 @ SV103 ) )
= $true )
| ( ( ~ ( likes @ SV43 @ pepsi @ SV103 ) )
= $true )
| ( ( likes @ SV43 @ cola @ SV75 )
= $true )
| ( ( a1 @ SV3 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(419,plain,
! [SV4: $i,SV44: mu,SV104: $i,SV76: $i] :
( ( ( ~ ( a1 @ SV76 @ SV104 ) )
= $true )
| ( ( ~ ( likes @ SV44 @ cola @ SV104 ) )
= $true )
| ( ( likes @ SV44 @ pepsi @ SV76 )
= $true )
| ( ( a1 @ SV4 @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(420,plain,
! [SV13: $i,SV97: $i,SV79: mu,SV51: mu] :
( ( ( ~ ( likes @ SV51 @ SV79 @ SV97 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY811: $i] :
( ~ ( a1 @ SV97 @ SY811 )
| ( likes @ SV51 @ SV79 @ SY811 ) )
| ~ ! [SY812: $i] :
( ~ ( a2 @ SV97 @ SY812 )
| ( likes @ SV51 @ SV79 @ SY812 ) ) ) )
= $true )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[401]) ).
thf(421,plain,
! [SV15: $i,SV99: $i,SV81: mu,SV53: mu] :
( ( ( very_much_likes @ SV53 @ SV81 @ SV99 )
= $false )
| ( ( a3 @ SV15 @ SV99 )
= $false )
| ( ( likes @ SV53 @ SV81 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(422,plain,
! [SV16: $i,SV100: $i,SV82: mu,SV54: mu] :
( ( ( likes @ SV54 @ SV82 @ SV100 )
= $false )
| ( ( a1 @ SV16 @ SV100 )
= $false )
| ( ( possibly_likes @ SV54 @ SV82 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(423,plain,
! [SV17: $i,SV101: $i,SV83: mu,SV55: mu] :
( ( ( likes @ SV55 @ SV83 @ SV101 )
= $false )
| ( ( a2 @ SV17 @ SV101 )
= $false )
| ( ( possibly_likes @ SV55 @ SV83 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(424,plain,
! [SV18: $i,SV102: $i,SV84: mu,SV56: mu] :
( ( ( likes @ SV56 @ SV84 @ SV102 )
= $false )
| ( ( a3 @ SV18 @ SV102 )
= $false )
| ( ( possibly_likes @ SV56 @ SV84 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(425,plain,
! [SV3: $i,SV43: mu,SV103: $i,SV75: $i] :
( ( ( a1 @ SV75 @ SV103 )
= $false )
| ( ( ~ ( likes @ SV43 @ pepsi @ SV103 ) )
= $true )
| ( ( likes @ SV43 @ cola @ SV75 )
= $true )
| ( ( a1 @ SV3 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(426,plain,
! [SV4: $i,SV44: mu,SV104: $i,SV76: $i] :
( ( ( a1 @ SV76 @ SV104 )
= $false )
| ( ( ~ ( likes @ SV44 @ cola @ SV104 ) )
= $true )
| ( ( likes @ SV44 @ pepsi @ SV76 )
= $true )
| ( ( a1 @ SV4 @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(427,plain,
! [SV13: $i,SV97: $i,SV79: mu,SV51: mu] :
( ( ( likes @ SV51 @ SV79 @ SV97 )
= $false )
| ( ( ~ ~ ( ~ ! [SY811: $i] :
( ~ ( a1 @ SV97 @ SY811 )
| ( likes @ SV51 @ SV79 @ SY811 ) )
| ~ ! [SY812: $i] :
( ~ ( a2 @ SV97 @ SY812 )
| ( likes @ SV51 @ SV79 @ SY812 ) ) ) )
= $true )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(428,plain,
! [SV3: $i,SV75: $i,SV103: $i,SV43: mu] :
( ( ( likes @ SV43 @ pepsi @ SV103 )
= $false )
| ( ( a1 @ SV75 @ SV103 )
= $false )
| ( ( likes @ SV43 @ cola @ SV75 )
= $true )
| ( ( a1 @ SV3 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(429,plain,
! [SV4: $i,SV76: $i,SV104: $i,SV44: mu] :
( ( ( likes @ SV44 @ cola @ SV104 )
= $false )
| ( ( a1 @ SV76 @ SV104 )
= $false )
| ( ( likes @ SV44 @ pepsi @ SV76 )
= $true )
| ( ( a1 @ SV4 @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(430,plain,
! [SV13: $i,SV79: mu,SV51: mu,SV97: $i] :
( ( ( ~ ( ~ ! [SY811: $i] :
( ~ ( a1 @ SV97 @ SY811 )
| ( likes @ SV51 @ SV79 @ SY811 ) )
| ~ ! [SY812: $i] :
( ~ ( a2 @ SV97 @ SY812 )
| ( likes @ SV51 @ SV79 @ SY812 ) ) ) )
= $false )
| ( ( likes @ SV51 @ SV79 @ SV97 )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(431,plain,
! [SV13: $i,SV79: mu,SV51: mu,SV97: $i] :
( ( ( ~ ! [SY811: $i] :
( ~ ( a1 @ SV97 @ SY811 )
| ( likes @ SV51 @ SV79 @ SY811 ) )
| ~ ! [SY812: $i] :
( ~ ( a2 @ SV97 @ SY812 )
| ( likes @ SV51 @ SV79 @ SY812 ) ) )
= $true )
| ( ( likes @ SV51 @ SV79 @ SV97 )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(432,plain,
! [SV13: $i,SV79: mu,SV51: mu,SV97: $i] :
( ( ( ~ ! [SY811: $i] :
( ~ ( a1 @ SV97 @ SY811 )
| ( likes @ SV51 @ SV79 @ SY811 ) ) )
= $true )
| ( ( ~ ! [SY812: $i] :
( ~ ( a2 @ SV97 @ SY812 )
| ( likes @ SV51 @ SV79 @ SY812 ) ) )
= $true )
| ( ( likes @ SV51 @ SV79 @ SV97 )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[431]) ).
thf(433,plain,
! [SV13: $i,SV79: mu,SV51: mu,SV97: $i] :
( ( ( ! [SY811: $i] :
( ~ ( a1 @ SV97 @ SY811 )
| ( likes @ SV51 @ SV79 @ SY811 ) ) )
= $false )
| ( ( ~ ! [SY812: $i] :
( ~ ( a2 @ SV97 @ SY812 )
| ( likes @ SV51 @ SV79 @ SY812 ) ) )
= $true )
| ( ( likes @ SV51 @ SV79 @ SV97 )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(434,plain,
! [SV51: mu,SV79: mu,SV13: $i,SV97: $i] :
( ( ( ~ ( a1 @ SV97 @ ( sK8_SY811 @ SV13 @ SV79 @ SV51 @ SV97 ) )
| ( likes @ SV51 @ SV79 @ ( sK8_SY811 @ SV13 @ SV79 @ SV51 @ SV97 ) ) )
= $false )
| ( ( ~ ! [SY812: $i] :
( ~ ( a2 @ SV97 @ SY812 )
| ( likes @ SV51 @ SV79 @ SY812 ) ) )
= $true )
| ( ( likes @ SV51 @ SV79 @ SV97 )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[433]) ).
thf(435,plain,
! [SV51: mu,SV79: mu,SV13: $i,SV97: $i] :
( ( ( ~ ( a1 @ SV97 @ ( sK8_SY811 @ SV13 @ SV79 @ SV51 @ SV97 ) ) )
= $false )
| ( ( ~ ! [SY812: $i] :
( ~ ( a2 @ SV97 @ SY812 )
| ( likes @ SV51 @ SV79 @ SY812 ) ) )
= $true )
| ( ( likes @ SV51 @ SV79 @ SV97 )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[434]) ).
thf(436,plain,
! [SV97: $i,SV13: $i,SV79: mu,SV51: mu] :
( ( ( likes @ SV51 @ SV79 @ ( sK8_SY811 @ SV13 @ SV79 @ SV51 @ SV97 ) )
= $false )
| ( ( ~ ! [SY812: $i] :
( ~ ( a2 @ SV97 @ SY812 )
| ( likes @ SV51 @ SV79 @ SY812 ) ) )
= $true )
| ( ( likes @ SV51 @ SV79 @ SV97 )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[434]) ).
thf(437,plain,
! [SV51: mu,SV79: mu,SV13: $i,SV97: $i] :
( ( ( a1 @ SV97 @ ( sK8_SY811 @ SV13 @ SV79 @ SV51 @ SV97 ) )
= $true )
| ( ( ~ ! [SY812: $i] :
( ~ ( a2 @ SV97 @ SY812 )
| ( likes @ SV51 @ SV79 @ SY812 ) ) )
= $true )
| ( ( likes @ SV51 @ SV79 @ SV97 )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(438,plain,
! [SV13: $i,SV79: mu,SV51: mu,SV97: $i] :
( ( ( ! [SY812: $i] :
( ~ ( a2 @ SV97 @ SY812 )
| ( likes @ SV51 @ SV79 @ SY812 ) ) )
= $false )
| ( ( likes @ SV51 @ SV79 @ ( sK8_SY811 @ SV13 @ SV79 @ SV51 @ SV97 ) )
= $false )
| ( ( likes @ SV51 @ SV79 @ SV97 )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(439,plain,
! [SV13: $i,SV79: mu,SV51: mu,SV97: $i] :
( ( ( ! [SY812: $i] :
( ~ ( a2 @ SV97 @ SY812 )
| ( likes @ SV51 @ SV79 @ SY812 ) ) )
= $false )
| ( ( a1 @ SV97 @ ( sK8_SY811 @ SV13 @ SV79 @ SV51 @ SV97 ) )
= $true )
| ( ( likes @ SV51 @ SV79 @ SV97 )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(440,plain,
! [SV51: mu,SV79: mu,SV13: $i,SV97: $i] :
( ( ( ~ ( a2 @ SV97 @ ( sK9_SY812 @ SV13 @ SV79 @ SV51 @ SV97 ) )
| ( likes @ SV51 @ SV79 @ ( sK9_SY812 @ SV13 @ SV79 @ SV51 @ SV97 ) ) )
= $false )
| ( ( likes @ SV51 @ SV79 @ ( sK8_SY811 @ SV13 @ SV79 @ SV51 @ SV97 ) )
= $false )
| ( ( likes @ SV51 @ SV79 @ SV97 )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[438]) ).
thf(441,plain,
! [SV51: mu,SV79: mu,SV13: $i,SV97: $i] :
( ( ( ~ ( a2 @ SV97 @ ( sK10_SY812 @ SV13 @ SV79 @ SV51 @ SV97 ) )
| ( likes @ SV51 @ SV79 @ ( sK10_SY812 @ SV13 @ SV79 @ SV51 @ SV97 ) ) )
= $false )
| ( ( a1 @ SV97 @ ( sK8_SY811 @ SV13 @ SV79 @ SV51 @ SV97 ) )
= $true )
| ( ( likes @ SV51 @ SV79 @ SV97 )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[439]) ).
thf(442,plain,
! [SV51: mu,SV79: mu,SV13: $i,SV97: $i] :
( ( ( ~ ( a2 @ SV97 @ ( sK9_SY812 @ SV13 @ SV79 @ SV51 @ SV97 ) ) )
= $false )
| ( ( likes @ SV51 @ SV79 @ ( sK8_SY811 @ SV13 @ SV79 @ SV51 @ SV97 ) )
= $false )
| ( ( likes @ SV51 @ SV79 @ SV97 )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(443,plain,
! [SV97: $i,SV13: $i,SV79: mu,SV51: mu] :
( ( ( likes @ SV51 @ SV79 @ ( sK9_SY812 @ SV13 @ SV79 @ SV51 @ SV97 ) )
= $false )
| ( ( likes @ SV51 @ SV79 @ ( sK8_SY811 @ SV13 @ SV79 @ SV51 @ SV97 ) )
= $false )
| ( ( likes @ SV51 @ SV79 @ SV97 )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(444,plain,
! [SV51: mu,SV79: mu,SV13: $i,SV97: $i] :
( ( ( ~ ( a2 @ SV97 @ ( sK10_SY812 @ SV13 @ SV79 @ SV51 @ SV97 ) ) )
= $false )
| ( ( a1 @ SV97 @ ( sK8_SY811 @ SV13 @ SV79 @ SV51 @ SV97 ) )
= $true )
| ( ( likes @ SV51 @ SV79 @ SV97 )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(445,plain,
! [SV97: $i,SV13: $i,SV79: mu,SV51: mu] :
( ( ( likes @ SV51 @ SV79 @ ( sK10_SY812 @ SV13 @ SV79 @ SV51 @ SV97 ) )
= $false )
| ( ( a1 @ SV97 @ ( sK8_SY811 @ SV13 @ SV79 @ SV51 @ SV97 ) )
= $true )
| ( ( likes @ SV51 @ SV79 @ SV97 )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[441]) ).
thf(446,plain,
! [SV51: mu,SV79: mu,SV13: $i,SV97: $i] :
( ( ( a2 @ SV97 @ ( sK9_SY812 @ SV13 @ SV79 @ SV51 @ SV97 ) )
= $true )
| ( ( likes @ SV51 @ SV79 @ ( sK8_SY811 @ SV13 @ SV79 @ SV51 @ SV97 ) )
= $false )
| ( ( likes @ SV51 @ SV79 @ SV97 )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[442]) ).
thf(447,plain,
! [SV51: mu,SV79: mu,SV13: $i,SV97: $i] :
( ( ( a2 @ SV97 @ ( sK10_SY812 @ SV13 @ SV79 @ SV51 @ SV97 ) )
= $true )
| ( ( a1 @ SV97 @ ( sK8_SY811 @ SV13 @ SV79 @ SV51 @ SV97 ) )
= $true )
| ( ( likes @ SV51 @ SV79 @ SV97 )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV97 )
= $true )
| ( ( a3 @ SV13 @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(448,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[265,447,446,445,443,429,428,424,423,422,421,417,416,415,414,413,412,411,410,409,408,407,406,382,362,359,358,321,314,313,312,311,306,305,304,303,302,298,296,295,293,274,271,270,269,266]) ).
thf(449,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[448]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : AGT031^1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.23 % Computer : n015.cluster.edu
% 0.11/0.23 % Model : x86_64 x86_64
% 0.11/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23 % Memory : 8046.5625MB
% 0.11/0.23 % OS : Linux 6.8.0-71-generic
% 0.11/0.23 % CPULimit : 300
% 0.11/0.23 % WCLimit : 300
% 0.11/0.23 % DateTime : Tue Oct 6 18:03:19 UTC 2026
% 0.11/0.23 % CPUTime :
% 0.11/0.23 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.78/0.73
% 2.78/0.73 No.of.Axioms: 39
% 2.78/0.73
% 2.78/0.73 Length.of.Defs: 5685
% 2.78/0.73
% 2.78/0.73 Contains.Choice.Funs: false
% 2.78/0.73 ...................
% 2.78/0.73
% 2.78/0.73 ********************************
% 2.78/0.73 * All subproblems solved! *
% 2.78/0.73 ********************************
% 2.78/0.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:39,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:448,loop_count:0,foatp_calls:1,translation:fof_full)
% 2.78/0.73
% 2.78/0.73 %**** Beginning of derivation protocol ****
% 2.78/0.73 % SZS output start CNFRefutation
% See solution above
% 2.78/0.74
% 2.78/0.74 %**** End of derivation protocol ****
% 2.78/0.74 %**** no. of clauses in derivation: 449 ****
% 2.78/0.74 %**** clause counter: 448 ****
% 2.78/0.74
% 2.78/0.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:39,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:448,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------