%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : AGT039^1 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:07:12 AM UTC 2026
% Result : Theorem 1.82s 0.58s
% Output : CNFRefutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 73
% Syntax : Number of formulae : 478 ( 257 unt; 0 typ; 33 def)
% Number of atoms : 2888 ( 754 equ; 0 cnn)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 4847 ( 867 ~; 722 |; 33 &;3179 @)
% ( 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 : 1322 ( 69 ^;1241 !; 12 ?;1322 :)
% 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_SY783,type,
sK10_SY783: $i > mu > mu > $i > $i ).
thf(tp_sK1_SY0,type,
sK1_SY0: $i ).
thf(tp_sK2_SY685,type,
sK2_SY685: $i > $i ).
thf(tp_sK3_SY686,type,
sK3_SY686: $i > $i ).
thf(tp_sK4_SY724,type,
sK4_SY724: $i > $i ).
thf(tp_sK5_SY725,type,
sK5_SY725: $i > $i ).
thf(tp_sK6_SY735,type,
sK6_SY735: $i > $i ).
thf(tp_sK7_SY777,type,
sK7_SY777: mu > mu > $i > $i ).
thf(tp_sK8_SY782,type,
sK8_SY782: $i > mu > mu > $i > $i ).
thf(tp_sK9_SY783,type,
sK9_SY783: $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/sandbox2/benchmark/theBenchmark.p',cond4s_def) ).
thf(mand,definition,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ~ ( R @ W @ V )
| ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox) ).
thf(mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mcountersatisfiable) ).
thf(mdia,definition,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia) ).
thf(meq_ind,definition,
( meq_ind
= ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meq_ind) ).
thf(meq_prop,definition,
( meq_prop
= ( ^ [X: $i > $o,Y: $i > $o,W: $i] :
( ( X @ W )
= ( Y @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meq_prop) ).
thf(mequiv,definition,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv) ).
thf(meuclidean,definition,
( meuclidean
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( R @ T @ U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meuclidean) ).
thf(mexists_ind,definition,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_ind) ).
thf(mexists_prop,definition,
( mexists_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o] :
( mnot
@ ( mforall_prop
@ ^ [P: $i > $o] : ( mnot @ ( Phi @ P ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_prop) ).
thf(mfalse,definition,
( mfalse
= ( mnot @ mtrue ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mfalse) ).
thf(mforall_ind,definition,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_ind) ).
thf(mforall_prop,definition,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_prop) ).
thf(mfunctional,definition,
( mfunctional
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] :
( ( R @ S @ T )
& ! [U: $i] :
( ( R @ S @ U )
=> ( T = U ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mfunctional) ).
thf(mimplied,definition,
( mimplied
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplied) ).
thf(mimplies,definition,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies) ).
thf(minvalid,definition,
( minvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minvalid) ).
thf(mnot,definition,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor) ).
thf(mpartially_functional,definition,
( mpartially_functional
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( T = U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mpartially_functional) ).
thf(mreflexive,definition,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mreflexive) ).
thf(msatisfiable,definition,
( msatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msatisfiable) ).
thf(mserial,definition,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mserial) ).
thf(msymmetric,definition,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msymmetric) ).
thf(mtransitive,definition,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtransitive) ).
thf(mtrue,definition,
( mtrue
= ( ^ [W: $i] : $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtrue) ).
thf(mvalid,definition,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid) ).
thf(mweakly_connected,definition,
( mweakly_connected
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( ( R @ T @ U )
| ( T = U )
| ( R @ U @ T ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mweakly_connected) ).
thf(mweakly_dense,definition,
( mweakly_dense
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( R @ S @ T )
=> ? [U: $i] :
( ( R @ S @ U )
& ( R @ U @ T ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mweakly_dense) ).
thf(mweakly_directed,definition,
( mweakly_directed
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ? [V: $i] :
( ( R @ T @ V )
& ( R @ U @ V ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mweakly_directed) ).
thf(mxor,definition,
( mxor
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mxor) ).
thf(subrel,definition,
( subrel
= ( ^ [R1: $i > $i > $o,R2: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R1 @ X @ Y )
=> ( R2 @ X @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subrel_def) ).
thf(1,axiom,
meuclidean @ a3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_5_a3) ).
thf(2,axiom,
meuclidean @ a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_5_a2) ).
thf(3,axiom,
meuclidean @ a1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_5_a1) ).
thf(4,axiom,
cond4s @ a3 @ a3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_Is_a3_a3) ).
thf(5,axiom,
cond4s @ a2 @ a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_Is_a3_a2) ).
thf(6,axiom,
cond4s @ a1 @ a1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_Is_a3_a1) ).
thf(7,axiom,
cond4s @ a2 @ a3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_Is_a2_a3) ).
thf(8,axiom,
cond4s @ a2 @ a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_Is_a2_a2) ).
thf(9,axiom,
cond4s @ a2 @ a1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_Is_a2_a1) ).
thf(10,axiom,
cond4s @ a1 @ a3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_Is_a1_a3) ).
thf(11,axiom,
cond4s @ a1 @ a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_Is_a1_a2) ).
thf(12,axiom,
cond4s @ a1 @ a1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_Is_a1_a1) ).
thf(13,axiom,
subrel @ a2 @ a3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_a2_a3) ).
thf(14,axiom,
subrel @ a1 @ a3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_a1_a3) ).
thf(15,axiom,
subrel @ a1 @ a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_a1_a2) ).
thf(16,axiom,
mserial @ a3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_D_a3) ).
thf(17,axiom,
mserial @ a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_D_a2) ).
thf(18,axiom,
mserial @ a1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_D_a1) ).
thf(19,axiom,
msymmetric @ a3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_B_a3) ).
thf(20,axiom,
msymmetric @ a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_B_a2) ).
thf(21,axiom,
msymmetric @ a1,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_a3_4) ).
thf(28,axiom,
mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_3) ).
thf(29,axiom,
mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_2) ).
thf(30,axiom,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_a2_4) ).
thf(33,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_3) ).
thf(34,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ cola ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_2) ).
thf(35,axiom,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_a1_3) ).
thf(38,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a1_2) ).
thf(39,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a1_1) ).
thf(40,conjecture,
mvalid @ ( possibly_likes @ jan @ pepsi ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(41,negated_conjecture,
( ( mvalid @ ( possibly_likes @ jan @ pepsi ) )
= $false ),
inference(negate_conjecture,[status(cth)],[40]) ).
thf(42,plain,
( ( ! [SY0: $i] : ( possibly_likes @ jan @ pepsi @ SY0 ) )
= $false ),
inference(unfold_def,[status(thm)],[41,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(43,plain,
( ( ! [SY2: $i,SY3: $i,SY4: $i] :
( ( ( a3 @ SY2 @ SY3 )
& ( a3 @ SY2 @ SY4 ) )
=> ( a3 @ SY3 @ SY4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(44,plain,
( ( ! [SY8: $i,SY9: $i,SY10: $i] :
( ( ( a2 @ SY8 @ SY9 )
& ( a2 @ SY8 @ SY10 ) )
=> ( a2 @ SY9 @ SY10 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2,cond4s,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor,subrel]) ).
thf(45,plain,
( ( ! [SY14: $i,SY15: $i,SY16: $i] :
( ( ( a1 @ SY14 @ SY15 )
& ( a1 @ SY14 @ SY16 ) )
=> ( a1 @ SY15 @ SY16 ) ) )
= $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,
( ( ! [SY24: $i,SY25: $i,SY26: $i] :
( ( ( a3 @ SY24 @ SY25 )
& ( a3 @ SY25 @ SY26 ) )
=> ( a3 @ SY24 @ SY26 ) ) )
= $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,
( ( ! [SY34: $i,SY35: $i,SY36: $i] :
( ( ( a2 @ SY34 @ SY35 )
& ( a2 @ SY35 @ SY36 ) )
=> ( a2 @ SY34 @ SY36 ) ) )
= $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,
( ( ! [SY44: $i,SY45: $i,SY46: $i] :
( ( ( a1 @ SY44 @ SY45 )
& ( a1 @ SY45 @ SY46 ) )
=> ( a1 @ SY44 @ SY46 ) ) )
= $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,
( ( ! [SY54: $i,SY55: $i,SY56: $i] :
( ( ( a2 @ SY54 @ SY55 )
& ( a3 @ SY55 @ SY56 ) )
=> ( a3 @ SY54 @ SY56 ) ) )
= $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,
( ( ! [SY64: $i,SY65: $i,SY66: $i] :
( ( ( a2 @ SY64 @ SY65 )
& ( a2 @ SY65 @ SY66 ) )
=> ( a2 @ SY64 @ SY66 ) ) )
= $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,
( ( ! [SY74: $i,SY75: $i,SY76: $i] :
( ( ( a2 @ SY74 @ SY75 )
& ( a1 @ SY75 @ SY76 ) )
=> ( a1 @ SY74 @ SY76 ) ) )
= $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,
( ( ! [SY84: $i,SY85: $i,SY86: $i] :
( ( ( a1 @ SY84 @ SY85 )
& ( a3 @ SY85 @ SY86 ) )
=> ( a3 @ SY84 @ SY86 ) ) )
= $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,
( ( ! [SY94: $i,SY95: $i,SY96: $i] :
( ( ( a1 @ SY94 @ SY95 )
& ( a2 @ SY95 @ SY96 ) )
=> ( a2 @ SY94 @ SY96 ) ) )
= $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,
( ( ! [SY104: $i,SY105: $i,SY106: $i] :
( ( ( a1 @ SY104 @ SY105 )
& ( a1 @ SY105 @ SY106 ) )
=> ( a1 @ SY104 @ SY106 ) ) )
= $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,
( ( ! [SY113: $i,SY114: $i] :
( ( a2 @ SY113 @ SY114 )
=> ( a3 @ SY113 @ SY114 ) ) )
= $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,
( ( ! [SY120: $i,SY121: $i] :
( ( a1 @ SY120 @ SY121 )
=> ( a3 @ SY120 @ SY121 ) ) )
= $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,
( ( ! [SY127: $i,SY128: $i] :
( ( a1 @ SY127 @ SY128 )
=> ( a2 @ SY127 @ SY128 ) ) )
= $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,
( ( ! [SY131: $i] :
? [SY132: $i] : ( a3 @ SY131 @ SY132 ) )
= $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,
( ( ! [SY135: $i] :
? [SY136: $i] : ( a2 @ SY135 @ SY136 ) )
= $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,
( ( ! [SY139: $i] :
? [SY140: $i] : ( a1 @ SY139 @ SY140 ) )
= $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,
( ( ! [SY143: $i,SY144: $i] :
( ( a3 @ SY143 @ SY144 )
=> ( a3 @ SY144 @ SY143 ) ) )
= $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,
( ( ! [SY147: $i,SY148: $i] :
( ( a2 @ SY147 @ SY148 )
=> ( a2 @ SY148 @ SY147 ) ) )
= $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,
( ( ! [SY151: $i,SY152: $i] :
( ( a1 @ SY151 @ SY152 )
=> ( a1 @ SY152 @ SY151 ) ) )
= $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,
( ( ! [SY190: $i,SY191: mu,SY192: mu] :
( ~ ~ ! [SY193: $i] :
( ~ ( a3 @ SY190 @ SY193 )
| ~ ( likes @ SY191 @ SY192 @ SY193 ) )
| ( possibly_likes @ SY191 @ SY192 @ SY190 ) ) )
= $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,
( ( ! [SY233: $i,SY234: mu,SY235: mu] :
( ~ ~ ! [SY236: $i] :
( ~ ( a2 @ SY233 @ SY236 )
| ~ ( likes @ SY234 @ SY235 @ SY236 ) )
| ( possibly_likes @ SY234 @ SY235 @ SY233 ) ) )
= $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,
( ( ! [SY276: $i,SY277: mu,SY278: mu] :
( ~ ~ ! [SY279: $i] :
( ~ ( a1 @ SY276 @ SY279 )
| ~ ( likes @ SY277 @ SY278 @ SY279 ) )
| ( possibly_likes @ SY277 @ SY278 @ SY276 ) ) )
= $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,
( ( ! [SY319: $i,SY320: mu,SY321: mu] :
( ~ ~ ! [SY322: $i] :
( ~ ( a3 @ SY319 @ SY322 )
| ~ ( very_much_likes @ SY320 @ SY321 @ SY322 ) )
| ( likes @ SY320 @ SY321 @ SY319 ) ) )
= $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,
( ( ! [SY356: $i,SY357: mu,SY358: mu] :
( ~ ! [SY359: $i] :
( ~ ( a3 @ SY356 @ SY359 )
| ( very_much_likes @ SY357 @ SY358 @ SY359 ) )
| ( very_much_likes @ SY357 @ SY358 @ SY356 ) ) )
= $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,
( ( ! [SY441: $i,SY442: mu,SY443: mu,SY444: $i] :
( ~ ( a3 @ SY441 @ SY444 )
| ~ ~ ( ~ ( likes @ SY442 @ SY443 @ SY444 )
| ~ ~ ( ~ ! [SY435: $i] :
( ~ ( a1 @ SY444 @ SY435 )
| ( likes @ SY442 @ SY443 @ SY435 ) )
| ~ ! [SY436: $i] :
( ~ ( a2 @ SY444 @ SY436 )
| ( likes @ SY442 @ SY443 @ SY436 ) ) ) )
| ( very_much_likes @ SY442 @ SY443 @ SY444 ) ) )
= $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,
( ( ! [SY464: $i] :
~ ! [SY465: $i] :
( ~ ( a1 @ SY464 @ SY465 )
| ~ ( likes @ piotr @ beer @ SY465 ) ) )
= $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,
( ( ! [SY479: $i] :
~ ! [SY480: $i] :
( ~ ( a3 @ SY479 @ SY480 )
| ~ ( likes @ piotr @ pepsi @ SY480 ) ) )
= $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,
( ( ! [SY488: $i,SY489: $i] :
( ~ ( a3 @ SY488 @ SY489 )
| ( likes @ jan @ cola @ SY489 ) ) )
= $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,
( ( ! [SY509: $i,SY510: mu,SY511: $i] :
( ~ ( a2 @ SY509 @ SY511 )
| ~ ( likes @ SY510 @ cola @ SY511 )
| ( likes @ SY510 @ pepsi @ SY511 ) ) )
= $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,
( ( ! [SY532: $i,SY533: mu,SY534: $i] :
( ~ ( a2 @ SY532 @ SY534 )
| ~ ( likes @ SY533 @ pepsi @ SY534 )
| ( likes @ SY533 @ cola @ SY534 ) ) )
= $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,
( ( ! [SY543: $i,SY544: $i] :
( ~ ( a1 @ SY543 @ SY544 )
| ( likes @ piotr @ beer @ SY544 ) ) )
= $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,
( ( ! [SY552: $i,SY553: $i] :
( ~ ( a1 @ SY552 @ SY553 )
| ( likes @ piotr @ cola @ SY553 ) ) )
= $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,
( ( ! [SY561: $i,SY562: $i] :
( ~ ( a2 @ SY561 @ SY562 )
| ( likes @ jan @ pepsi @ SY562 ) ) )
= $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,
( ( ! [SY600: $i,SY601: mu,SY602: $i] :
( ~ ( a1 @ SY600 @ SY602 )
| ~ ~ ! [SY597: $i] :
( ~ ( a1 @ SY602 @ SY597 )
| ~ ( likes @ SY601 @ cola @ SY597 ) )
| ( likes @ SY601 @ pepsi @ SY602 ) ) )
= $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,
( ( ! [SY643: $i,SY644: mu,SY645: $i] :
( ~ ( a1 @ SY643 @ SY645 )
| ~ ~ ! [SY640: $i] :
( ~ ( a1 @ SY645 @ SY640 )
| ~ ( likes @ SY644 @ pepsi @ SY640 ) )
| ( likes @ SY644 @ cola @ SY645 ) ) )
= $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,
( ( ! [SY656: $i,SY657: $i] :
( ~ ( a1 @ SY656 @ SY657 )
| ( likes @ piotr @ pepsi @ SY657 ) ) )
= $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,
( ( ! [SY665: $i,SY666: $i] :
( ~ ( a1 @ SY665 @ SY666 )
| ( likes @ jan @ cola @ SY666 ) ) )
= $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,
( ( possibly_likes @ jan @ pepsi @ sK1_SY0 )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[42]) ).
thf(83,plain,
( ( ~ ( possibly_likes @ jan @ pepsi @ sK1_SY0 ) )
= $true ),
inference(polarity_switch,[status(thm)],[82]) ).
thf(84,plain,
( ( ! [SY665: $i,SY666: $i] :
( ~ ( a1 @ SY665 @ SY666 )
| ( likes @ jan @ cola @ SY666 ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(85,plain,
( ( ! [SY656: $i,SY657: $i] :
( ~ ( a1 @ SY656 @ SY657 )
| ( likes @ piotr @ pepsi @ SY657 ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(86,plain,
( ( ! [SY643: $i,SY644: mu,SY645: $i] :
( ~ ( a1 @ SY643 @ SY645 )
| ~ ~ ! [SY640: $i] :
( ~ ( a1 @ SY645 @ SY640 )
| ~ ( likes @ SY644 @ pepsi @ SY640 ) )
| ( likes @ SY644 @ cola @ SY645 ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(87,plain,
( ( ! [SY600: $i,SY601: mu,SY602: $i] :
( ~ ( a1 @ SY600 @ SY602 )
| ~ ~ ! [SY597: $i] :
( ~ ( a1 @ SY602 @ SY597 )
| ~ ( likes @ SY601 @ cola @ SY597 ) )
| ( likes @ SY601 @ pepsi @ SY602 ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(88,plain,
( ( ! [SY561: $i,SY562: $i] :
( ~ ( a2 @ SY561 @ SY562 )
| ( likes @ jan @ pepsi @ SY562 ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(89,plain,
( ( ! [SY552: $i,SY553: $i] :
( ~ ( a1 @ SY552 @ SY553 )
| ( likes @ piotr @ cola @ SY553 ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(90,plain,
( ( ! [SY543: $i,SY544: $i] :
( ~ ( a1 @ SY543 @ SY544 )
| ( likes @ piotr @ beer @ SY544 ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(91,plain,
( ( ! [SY532: $i,SY533: mu,SY534: $i] :
( ~ ( a2 @ SY532 @ SY534 )
| ~ ( likes @ SY533 @ pepsi @ SY534 )
| ( likes @ SY533 @ cola @ SY534 ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(92,plain,
( ( ! [SY509: $i,SY510: mu,SY511: $i] :
( ~ ( a2 @ SY509 @ SY511 )
| ~ ( likes @ SY510 @ cola @ SY511 )
| ( likes @ SY510 @ pepsi @ SY511 ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(93,plain,
( ( ! [SY488: $i,SY489: $i] :
( ~ ( a3 @ SY488 @ SY489 )
| ( likes @ jan @ cola @ SY489 ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(94,plain,
( ( ! [SY479: $i] :
~ ! [SY480: $i] :
( ~ ( a3 @ SY479 @ SY480 )
| ~ ( likes @ piotr @ pepsi @ SY480 ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(95,plain,
( ( ! [SY464: $i] :
~ ! [SY465: $i] :
( ~ ( a1 @ SY464 @ SY465 )
| ~ ( likes @ piotr @ beer @ SY465 ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(96,plain,
( ( ! [SY441: $i,SY442: mu,SY443: mu,SY444: $i] :
( ~ ( a3 @ SY441 @ SY444 )
| ~ ~ ( ~ ( likes @ SY442 @ SY443 @ SY444 )
| ~ ~ ( ~ ! [SY435: $i] :
( ~ ( a1 @ SY444 @ SY435 )
| ( likes @ SY442 @ SY443 @ SY435 ) )
| ~ ! [SY436: $i] :
( ~ ( a2 @ SY444 @ SY436 )
| ( likes @ SY442 @ SY443 @ SY436 ) ) ) )
| ( very_much_likes @ SY442 @ SY443 @ SY444 ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(97,plain,
( ( ! [SY356: $i,SY357: mu,SY358: mu] :
( ~ ! [SY359: $i] :
( ~ ( a3 @ SY356 @ SY359 )
| ( very_much_likes @ SY357 @ SY358 @ SY359 ) )
| ( very_much_likes @ SY357 @ SY358 @ SY356 ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(98,plain,
( ( ! [SY319: $i,SY320: mu,SY321: mu] :
( ~ ~ ! [SY322: $i] :
( ~ ( a3 @ SY319 @ SY322 )
| ~ ( very_much_likes @ SY320 @ SY321 @ SY322 ) )
| ( likes @ SY320 @ SY321 @ SY319 ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(99,plain,
( ( ! [SY276: $i,SY277: mu,SY278: mu] :
( ~ ~ ! [SY279: $i] :
( ~ ( a1 @ SY276 @ SY279 )
| ~ ( likes @ SY277 @ SY278 @ SY279 ) )
| ( possibly_likes @ SY277 @ SY278 @ SY276 ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(100,plain,
( ( ! [SY233: $i,SY234: mu,SY235: mu] :
( ~ ~ ! [SY236: $i] :
( ~ ( a2 @ SY233 @ SY236 )
| ~ ( likes @ SY234 @ SY235 @ SY236 ) )
| ( possibly_likes @ SY234 @ SY235 @ SY233 ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(101,plain,
( ( ! [SY190: $i,SY191: mu,SY192: mu] :
( ~ ~ ! [SY193: $i] :
( ~ ( a3 @ SY190 @ SY193 )
| ~ ( likes @ SY191 @ SY192 @ SY193 ) )
| ( possibly_likes @ SY191 @ SY192 @ SY190 ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(102,plain,
( ( ! [SY151: $i,SY152: $i] :
( ( a1 @ SY151 @ SY152 )
=> ( a1 @ SY152 @ SY151 ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(103,plain,
( ( ! [SY147: $i,SY148: $i] :
( ( a2 @ SY147 @ SY148 )
=> ( a2 @ SY148 @ SY147 ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(104,plain,
( ( ! [SY143: $i,SY144: $i] :
( ( a3 @ SY143 @ SY144 )
=> ( a3 @ SY144 @ SY143 ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(105,plain,
( ( ! [SY139: $i] :
? [SY140: $i] : ( a1 @ SY139 @ SY140 ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(106,plain,
( ( ! [SY135: $i] :
? [SY136: $i] : ( a2 @ SY135 @ SY136 ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(107,plain,
( ( ! [SY131: $i] :
? [SY132: $i] : ( a3 @ SY131 @ SY132 ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(108,plain,
( ( ! [SY127: $i,SY128: $i] :
( ( a1 @ SY127 @ SY128 )
=> ( a2 @ SY127 @ SY128 ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(109,plain,
( ( ! [SY120: $i,SY121: $i] :
( ( a1 @ SY120 @ SY121 )
=> ( a3 @ SY120 @ SY121 ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(110,plain,
( ( ! [SY113: $i,SY114: $i] :
( ( a2 @ SY113 @ SY114 )
=> ( a3 @ SY113 @ SY114 ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(111,plain,
( ( ! [SY104: $i,SY105: $i,SY106: $i] :
( ( ( a1 @ SY104 @ SY105 )
& ( a1 @ SY105 @ SY106 ) )
=> ( a1 @ SY104 @ SY106 ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(112,plain,
( ( ! [SY94: $i,SY95: $i,SY96: $i] :
( ( ( a1 @ SY94 @ SY95 )
& ( a2 @ SY95 @ SY96 ) )
=> ( a2 @ SY94 @ SY96 ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(113,plain,
( ( ! [SY84: $i,SY85: $i,SY86: $i] :
( ( ( a1 @ SY84 @ SY85 )
& ( a3 @ SY85 @ SY86 ) )
=> ( a3 @ SY84 @ SY86 ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(114,plain,
( ( ! [SY74: $i,SY75: $i,SY76: $i] :
( ( ( a2 @ SY74 @ SY75 )
& ( a1 @ SY75 @ SY76 ) )
=> ( a1 @ SY74 @ SY76 ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(115,plain,
( ( ! [SY64: $i,SY65: $i,SY66: $i] :
( ( ( a2 @ SY64 @ SY65 )
& ( a2 @ SY65 @ SY66 ) )
=> ( a2 @ SY64 @ SY66 ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(116,plain,
( ( ! [SY54: $i,SY55: $i,SY56: $i] :
( ( ( a2 @ SY54 @ SY55 )
& ( a3 @ SY55 @ SY56 ) )
=> ( a3 @ SY54 @ SY56 ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(117,plain,
( ( ! [SY44: $i,SY45: $i,SY46: $i] :
( ( ( a1 @ SY44 @ SY45 )
& ( a1 @ SY45 @ SY46 ) )
=> ( a1 @ SY44 @ SY46 ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(118,plain,
( ( ! [SY34: $i,SY35: $i,SY36: $i] :
( ( ( a2 @ SY34 @ SY35 )
& ( a2 @ SY35 @ SY36 ) )
=> ( a2 @ SY34 @ SY36 ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(119,plain,
( ( ! [SY24: $i,SY25: $i,SY26: $i] :
( ( ( a3 @ SY24 @ SY25 )
& ( a3 @ SY25 @ SY26 ) )
=> ( a3 @ SY24 @ SY26 ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(120,plain,
( ( ! [SY14: $i,SY15: $i,SY16: $i] :
( ( ( a1 @ SY14 @ SY15 )
& ( a1 @ SY14 @ SY16 ) )
=> ( a1 @ SY15 @ SY16 ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(121,plain,
( ( ! [SY8: $i,SY9: $i,SY10: $i] :
( ( ( a2 @ SY8 @ SY9 )
& ( a2 @ SY8 @ SY10 ) )
=> ( a2 @ SY9 @ SY10 ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(122,plain,
( ( ! [SY2: $i,SY3: $i,SY4: $i] :
( ( ( a3 @ SY2 @ SY3 )
& ( a3 @ SY2 @ SY4 ) )
=> ( a3 @ SY3 @ SY4 ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(123,plain,
( ( ~ ( possibly_likes @ jan @ pepsi @ sK1_SY0 ) )
= $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] :
( ( ! [SY669: $i] :
( ~ ( a1 @ SV1 @ SY669 )
| ( likes @ jan @ cola @ SY669 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(146,plain,
! [SV2: $i] :
( ( ! [SY670: $i] :
( ~ ( a1 @ SV2 @ SY670 )
| ( likes @ piotr @ pepsi @ SY670 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(147,plain,
! [SV3: $i] :
( ( ! [SY671: mu,SY672: $i] :
( ~ ( a1 @ SV3 @ SY672 )
| ~ ~ ! [SY640: $i] :
( ~ ( a1 @ SY672 @ SY640 )
| ~ ( likes @ SY671 @ pepsi @ SY640 ) )
| ( likes @ SY671 @ cola @ SY672 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(148,plain,
! [SV4: $i] :
( ( ! [SY674: mu,SY675: $i] :
( ~ ( a1 @ SV4 @ SY675 )
| ~ ~ ! [SY597: $i] :
( ~ ( a1 @ SY675 @ SY597 )
| ~ ( likes @ SY674 @ cola @ SY597 ) )
| ( likes @ SY674 @ pepsi @ SY675 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(149,plain,
! [SV5: $i] :
( ( ! [SY677: $i] :
( ~ ( a2 @ SV5 @ SY677 )
| ( likes @ jan @ pepsi @ SY677 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(150,plain,
! [SV6: $i] :
( ( ! [SY678: $i] :
( ~ ( a1 @ SV6 @ SY678 )
| ( likes @ piotr @ cola @ SY678 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(151,plain,
! [SV7: $i] :
( ( ! [SY679: $i] :
( ~ ( a1 @ SV7 @ SY679 )
| ( likes @ piotr @ beer @ SY679 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(152,plain,
! [SV8: $i] :
( ( ! [SY680: mu,SY681: $i] :
( ~ ( a2 @ SV8 @ SY681 )
| ~ ( likes @ SY680 @ pepsi @ SY681 )
| ( likes @ SY680 @ cola @ SY681 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(153,plain,
! [SV9: $i] :
( ( ! [SY682: mu,SY683: $i] :
( ~ ( a2 @ SV9 @ SY683 )
| ~ ( likes @ SY682 @ cola @ SY683 )
| ( likes @ SY682 @ pepsi @ SY683 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(154,plain,
! [SV10: $i] :
( ( ! [SY684: $i] :
( ~ ( a3 @ SV10 @ SY684 )
| ( likes @ jan @ cola @ SY684 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(155,plain,
! [SV11: $i] :
( ( ~ ! [SY685: $i] :
( ~ ( a3 @ SV11 @ SY685 )
| ~ ( likes @ piotr @ pepsi @ SY685 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(156,plain,
! [SV12: $i] :
( ( ~ ! [SY686: $i] :
( ~ ( a1 @ SV12 @ SY686 )
| ~ ( likes @ piotr @ beer @ SY686 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(157,plain,
! [SV13: $i] :
( ( ! [SY687: mu,SY688: mu,SY689: $i] :
( ~ ( a3 @ SV13 @ SY689 )
| ~ ~ ( ~ ( likes @ SY687 @ SY688 @ SY689 )
| ~ ~ ( ~ ! [SY435: $i] :
( ~ ( a1 @ SY689 @ SY435 )
| ( likes @ SY687 @ SY688 @ SY435 ) )
| ~ ! [SY436: $i] :
( ~ ( a2 @ SY689 @ SY436 )
| ( likes @ SY687 @ SY688 @ SY436 ) ) ) )
| ( very_much_likes @ SY687 @ SY688 @ SY689 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(158,plain,
! [SV14: $i] :
( ( ! [SY692: mu,SY693: mu] :
( ~ ! [SY694: $i] :
( ~ ( a3 @ SV14 @ SY694 )
| ( very_much_likes @ SY692 @ SY693 @ SY694 ) )
| ( very_much_likes @ SY692 @ SY693 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(159,plain,
! [SV15: $i] :
( ( ! [SY695: mu,SY696: mu] :
( ~ ~ ! [SY697: $i] :
( ~ ( a3 @ SV15 @ SY697 )
| ~ ( very_much_likes @ SY695 @ SY696 @ SY697 ) )
| ( likes @ SY695 @ SY696 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(160,plain,
! [SV16: $i] :
( ( ! [SY698: mu,SY699: mu] :
( ~ ~ ! [SY700: $i] :
( ~ ( a1 @ SV16 @ SY700 )
| ~ ( likes @ SY698 @ SY699 @ SY700 ) )
| ( possibly_likes @ SY698 @ SY699 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(161,plain,
! [SV17: $i] :
( ( ! [SY701: mu,SY702: mu] :
( ~ ~ ! [SY703: $i] :
( ~ ( a2 @ SV17 @ SY703 )
| ~ ( likes @ SY701 @ SY702 @ SY703 ) )
| ( possibly_likes @ SY701 @ SY702 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(162,plain,
! [SV18: $i] :
( ( ! [SY704: mu,SY705: mu] :
( ~ ~ ! [SY706: $i] :
( ~ ( a3 @ SV18 @ SY706 )
| ~ ( likes @ SY704 @ SY705 @ SY706 ) )
| ( possibly_likes @ SY704 @ SY705 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(163,plain,
( ( possibly_likes @ jan @ pepsi @ sK1_SY0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(164,plain,
! [SV19: $i] :
( ( ! [SY707: $i,SY708: $i] :
( ~ ~ ( ~ ( a2 @ SV19 @ SY707 )
| ~ ( a2 @ SY707 @ SY708 ) )
| ( a2 @ SV19 @ SY708 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(165,plain,
! [SV20: $i] :
( ( ! [SY709: $i,SY710: $i] :
( ~ ~ ( ~ ( a3 @ SV20 @ SY709 )
| ~ ( a3 @ SY709 @ SY710 ) )
| ( a3 @ SV20 @ SY710 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(166,plain,
! [SV21: $i] :
( ( ! [SY711: $i,SY712: $i] :
( ~ ~ ( ~ ( a2 @ SV21 @ SY711 )
| ~ ( a1 @ SY711 @ SY712 ) )
| ( a1 @ SV21 @ SY712 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(167,plain,
! [SV22: $i] :
( ( ! [SY713: $i,SY714: $i] :
( ~ ~ ( ~ ( a1 @ SV22 @ SY713 )
| ~ ( a1 @ SV22 @ SY714 ) )
| ( a1 @ SY713 @ SY714 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(168,plain,
! [SV23: $i] :
( ( ! [SY715: $i,SY716: $i] :
( ~ ~ ( ~ ( a1 @ SV23 @ SY715 )
| ~ ( a2 @ SY715 @ SY716 ) )
| ( a2 @ SV23 @ SY716 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(169,plain,
! [SV24: $i] :
( ( ! [SY717: $i,SY718: $i] :
( ~ ~ ( ~ ( a1 @ SV24 @ SY717 )
| ~ ( a3 @ SY717 @ SY718 ) )
| ( a3 @ SV24 @ SY718 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(170,plain,
! [SV25: $i] :
( ( ! [SY719: $i,SY720: $i] :
( ~ ~ ( ~ ( a2 @ SV25 @ SY719 )
| ~ ( a3 @ SY719 @ SY720 ) )
| ( a3 @ SV25 @ SY720 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(171,plain,
! [SV26: $i] :
( ( ! [SY721: $i] :
( ~ ( a2 @ SV26 @ SY721 )
| ( a3 @ SV26 @ SY721 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(172,plain,
! [SV27: $i] :
( ( ! [SY722: $i,SY723: $i] :
( ~ ~ ( ~ ( a1 @ SV27 @ SY722 )
| ~ ( a1 @ SY722 @ SY723 ) )
| ( a1 @ SV27 @ SY723 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(173,plain,
! [SV28: $i] :
( ( ~ ! [SY724: $i] :
~ ( a3 @ SV28 @ SY724 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(174,plain,
! [SV29: $i] :
( ( ~ ! [SY725: $i] :
~ ( a1 @ SV29 @ SY725 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(175,plain,
! [SV30: $i] :
( ( ! [SY726: $i,SY727: $i] :
( ~ ~ ( ~ ( a3 @ SV30 @ SY726 )
| ~ ( a3 @ SV30 @ SY727 ) )
| ( a3 @ SY726 @ SY727 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(176,plain,
! [SV31: $i] :
( ( ! [SY728: $i] :
( ~ ( a1 @ SV31 @ SY728 )
| ( a3 @ SV31 @ SY728 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(177,plain,
! [SV32: $i] :
( ( ! [SY729: $i,SY730: $i] :
( ~ ~ ( ~ ( a2 @ SV32 @ SY729 )
| ~ ( a2 @ SY729 @ SY730 ) )
| ( a2 @ SV32 @ SY730 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(178,plain,
! [SV33: $i] :
( ( ! [SY731: $i,SY732: $i] :
( ~ ~ ( ~ ( a2 @ SV33 @ SY731 )
| ~ ( a2 @ SV33 @ SY732 ) )
| ( a2 @ SY731 @ SY732 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(179,plain,
! [SV34: $i] :
( ( ! [SY733: $i,SY734: $i] :
( ~ ~ ( ~ ( a1 @ SV34 @ SY733 )
| ~ ( a1 @ SY733 @ SY734 ) )
| ( a1 @ SV34 @ SY734 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(180,plain,
! [SV35: $i] :
( ( ~ ! [SY735: $i] :
~ ( a2 @ SV35 @ SY735 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(181,plain,
! [SV36: $i] :
( ( ! [SY736: $i] :
( ~ ( a1 @ SV36 @ SY736 )
| ( a1 @ SY736 @ SV36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(182,plain,
! [SV37: $i] :
( ( ! [SY737: $i] :
( ~ ( a2 @ SV37 @ SY737 )
| ( a2 @ SY737 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(183,plain,
! [SV38: $i] :
( ( ! [SY738: $i] :
( ~ ( a3 @ SV38 @ SY738 )
| ( a3 @ SY738 @ SV38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(184,plain,
! [SV39: $i] :
( ( ! [SY739: $i] :
( ~ ( a1 @ SV39 @ SY739 )
| ( a2 @ SV39 @ SY739 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(185,plain,
! [SV40: $i,SV1: $i] :
( ( ~ ( a1 @ SV1 @ SV40 )
| ( likes @ jan @ cola @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(186,plain,
! [SV41: $i,SV2: $i] :
( ( ~ ( a1 @ SV2 @ SV41 )
| ( likes @ piotr @ pepsi @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(187,plain,
! [SV42: mu,SV3: $i] :
( ( ! [SY740: $i] :
( ~ ( a1 @ SV3 @ SY740 )
| ~ ~ ! [SY741: $i] :
( ~ ( a1 @ SY740 @ SY741 )
| ~ ( likes @ SV42 @ pepsi @ SY741 ) )
| ( likes @ SV42 @ cola @ SY740 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(188,plain,
! [SV43: mu,SV4: $i] :
( ( ! [SY742: $i] :
( ~ ( a1 @ SV4 @ SY742 )
| ~ ~ ! [SY743: $i] :
( ~ ( a1 @ SY742 @ SY743 )
| ~ ( likes @ SV43 @ cola @ SY743 ) )
| ( likes @ SV43 @ pepsi @ SY742 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(189,plain,
! [SV44: $i,SV5: $i] :
( ( ~ ( a2 @ SV5 @ SV44 )
| ( likes @ jan @ pepsi @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(190,plain,
! [SV45: $i,SV6: $i] :
( ( ~ ( a1 @ SV6 @ SV45 )
| ( likes @ piotr @ cola @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(191,plain,
! [SV46: $i,SV7: $i] :
( ( ~ ( a1 @ SV7 @ SV46 )
| ( likes @ piotr @ beer @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(192,plain,
! [SV47: mu,SV8: $i] :
( ( ! [SY744: $i] :
( ~ ( a2 @ SV8 @ SY744 )
| ~ ( likes @ SV47 @ pepsi @ SY744 )
| ( likes @ SV47 @ cola @ SY744 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(193,plain,
! [SV48: mu,SV9: $i] :
( ( ! [SY745: $i] :
( ~ ( a2 @ SV9 @ SY745 )
| ~ ( likes @ SV48 @ cola @ SY745 )
| ( likes @ SV48 @ pepsi @ SY745 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(194,plain,
! [SV49: $i,SV10: $i] :
( ( ~ ( a3 @ SV10 @ SV49 )
| ( likes @ jan @ cola @ SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(195,plain,
! [SV11: $i] :
( ( ! [SY685: $i] :
( ~ ( a3 @ SV11 @ SY685 )
| ~ ( likes @ piotr @ pepsi @ SY685 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(196,plain,
! [SV12: $i] :
( ( ! [SY686: $i] :
( ~ ( a1 @ SV12 @ SY686 )
| ~ ( likes @ piotr @ beer @ SY686 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(197,plain,
! [SV50: mu,SV13: $i] :
( ( ! [SY746: mu,SY747: $i] :
( ~ ( a3 @ SV13 @ SY747 )
| ~ ~ ( ~ ( likes @ SV50 @ SY746 @ SY747 )
| ~ ~ ( ~ ! [SY748: $i] :
( ~ ( a1 @ SY747 @ SY748 )
| ( likes @ SV50 @ SY746 @ SY748 ) )
| ~ ! [SY749: $i] :
( ~ ( a2 @ SY747 @ SY749 )
| ( likes @ SV50 @ SY746 @ SY749 ) ) ) )
| ( very_much_likes @ SV50 @ SY746 @ SY747 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(198,plain,
! [SV51: mu,SV14: $i] :
( ( ! [SY750: mu] :
( ~ ! [SY751: $i] :
( ~ ( a3 @ SV14 @ SY751 )
| ( very_much_likes @ SV51 @ SY750 @ SY751 ) )
| ( very_much_likes @ SV51 @ SY750 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(199,plain,
! [SV52: mu,SV15: $i] :
( ( ! [SY752: mu] :
( ~ ~ ! [SY753: $i] :
( ~ ( a3 @ SV15 @ SY753 )
| ~ ( very_much_likes @ SV52 @ SY752 @ SY753 ) )
| ( likes @ SV52 @ SY752 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(200,plain,
! [SV53: mu,SV16: $i] :
( ( ! [SY754: mu] :
( ~ ~ ! [SY755: $i] :
( ~ ( a1 @ SV16 @ SY755 )
| ~ ( likes @ SV53 @ SY754 @ SY755 ) )
| ( possibly_likes @ SV53 @ SY754 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(201,plain,
! [SV54: mu,SV17: $i] :
( ( ! [SY756: mu] :
( ~ ~ ! [SY757: $i] :
( ~ ( a2 @ SV17 @ SY757 )
| ~ ( likes @ SV54 @ SY756 @ SY757 ) )
| ( possibly_likes @ SV54 @ SY756 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(202,plain,
! [SV55: mu,SV18: $i] :
( ( ! [SY758: mu] :
( ~ ~ ! [SY759: $i] :
( ~ ( a3 @ SV18 @ SY759 )
| ~ ( likes @ SV55 @ SY758 @ SY759 ) )
| ( possibly_likes @ SV55 @ SY758 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(203,plain,
! [SV56: $i,SV19: $i] :
( ( ! [SY760: $i] :
( ~ ~ ( ~ ( a2 @ SV19 @ SV56 )
| ~ ( a2 @ SV56 @ SY760 ) )
| ( a2 @ SV19 @ SY760 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(204,plain,
! [SV57: $i,SV20: $i] :
( ( ! [SY761: $i] :
( ~ ~ ( ~ ( a3 @ SV20 @ SV57 )
| ~ ( a3 @ SV57 @ SY761 ) )
| ( a3 @ SV20 @ SY761 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(205,plain,
! [SV58: $i,SV21: $i] :
( ( ! [SY762: $i] :
( ~ ~ ( ~ ( a2 @ SV21 @ SV58 )
| ~ ( a1 @ SV58 @ SY762 ) )
| ( a1 @ SV21 @ SY762 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(206,plain,
! [SV59: $i,SV22: $i] :
( ( ! [SY763: $i] :
( ~ ~ ( ~ ( a1 @ SV22 @ SV59 )
| ~ ( a1 @ SV22 @ SY763 ) )
| ( a1 @ SV59 @ SY763 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(207,plain,
! [SV60: $i,SV23: $i] :
( ( ! [SY764: $i] :
( ~ ~ ( ~ ( a1 @ SV23 @ SV60 )
| ~ ( a2 @ SV60 @ SY764 ) )
| ( a2 @ SV23 @ SY764 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(208,plain,
! [SV61: $i,SV24: $i] :
( ( ! [SY765: $i] :
( ~ ~ ( ~ ( a1 @ SV24 @ SV61 )
| ~ ( a3 @ SV61 @ SY765 ) )
| ( a3 @ SV24 @ SY765 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(209,plain,
! [SV62: $i,SV25: $i] :
( ( ! [SY766: $i] :
( ~ ~ ( ~ ( a2 @ SV25 @ SV62 )
| ~ ( a3 @ SV62 @ SY766 ) )
| ( a3 @ SV25 @ SY766 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(210,plain,
! [SV63: $i,SV26: $i] :
( ( ~ ( a2 @ SV26 @ SV63 )
| ( a3 @ SV26 @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(211,plain,
! [SV64: $i,SV27: $i] :
( ( ! [SY767: $i] :
( ~ ~ ( ~ ( a1 @ SV27 @ SV64 )
| ~ ( a1 @ SV64 @ SY767 ) )
| ( a1 @ SV27 @ SY767 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(212,plain,
! [SV28: $i] :
( ( ! [SY724: $i] :
~ ( a3 @ SV28 @ SY724 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(213,plain,
! [SV29: $i] :
( ( ! [SY725: $i] :
~ ( a1 @ SV29 @ SY725 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(214,plain,
! [SV65: $i,SV30: $i] :
( ( ! [SY768: $i] :
( ~ ~ ( ~ ( a3 @ SV30 @ SV65 )
| ~ ( a3 @ SV30 @ SY768 ) )
| ( a3 @ SV65 @ SY768 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(215,plain,
! [SV66: $i,SV31: $i] :
( ( ~ ( a1 @ SV31 @ SV66 )
| ( a3 @ SV31 @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(216,plain,
! [SV67: $i,SV32: $i] :
( ( ! [SY769: $i] :
( ~ ~ ( ~ ( a2 @ SV32 @ SV67 )
| ~ ( a2 @ SV67 @ SY769 ) )
| ( a2 @ SV32 @ SY769 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(217,plain,
! [SV68: $i,SV33: $i] :
( ( ! [SY770: $i] :
( ~ ~ ( ~ ( a2 @ SV33 @ SV68 )
| ~ ( a2 @ SV33 @ SY770 ) )
| ( a2 @ SV68 @ SY770 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(218,plain,
! [SV69: $i,SV34: $i] :
( ( ! [SY771: $i] :
( ~ ~ ( ~ ( a1 @ SV34 @ SV69 )
| ~ ( a1 @ SV69 @ SY771 ) )
| ( a1 @ SV34 @ SY771 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(219,plain,
! [SV35: $i] :
( ( ! [SY735: $i] :
~ ( a2 @ SV35 @ SY735 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(220,plain,
! [SV70: $i,SV36: $i] :
( ( ~ ( a1 @ SV36 @ SV70 )
| ( a1 @ SV70 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(221,plain,
! [SV71: $i,SV37: $i] :
( ( ~ ( a2 @ SV37 @ SV71 )
| ( a2 @ SV71 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(222,plain,
! [SV72: $i,SV38: $i] :
( ( ~ ( a3 @ SV38 @ SV72 )
| ( a3 @ SV72 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(223,plain,
! [SV73: $i,SV39: $i] :
( ( ~ ( a1 @ SV39 @ SV73 )
| ( a2 @ SV39 @ SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(224,plain,
! [SV40: $i,SV1: $i] :
( ( ( ~ ( a1 @ SV1 @ SV40 ) )
= $true )
| ( ( likes @ jan @ cola @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(225,plain,
! [SV41: $i,SV2: $i] :
( ( ( ~ ( a1 @ SV2 @ SV41 ) )
= $true )
| ( ( likes @ piotr @ pepsi @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(226,plain,
! [SV42: mu,SV74: $i,SV3: $i] :
( ( ~ ( a1 @ SV3 @ SV74 )
| ~ ~ ! [SY772: $i] :
( ~ ( a1 @ SV74 @ SY772 )
| ~ ( likes @ SV42 @ pepsi @ SY772 ) )
| ( likes @ SV42 @ cola @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(227,plain,
! [SV43: mu,SV75: $i,SV4: $i] :
( ( ~ ( a1 @ SV4 @ SV75 )
| ~ ~ ! [SY773: $i] :
( ~ ( a1 @ SV75 @ SY773 )
| ~ ( likes @ SV43 @ cola @ SY773 ) )
| ( likes @ SV43 @ pepsi @ SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(228,plain,
! [SV44: $i,SV5: $i] :
( ( ( ~ ( a2 @ SV5 @ SV44 ) )
= $true )
| ( ( likes @ jan @ pepsi @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(229,plain,
! [SV45: $i,SV6: $i] :
( ( ( ~ ( a1 @ SV6 @ SV45 ) )
= $true )
| ( ( likes @ piotr @ cola @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(230,plain,
! [SV46: $i,SV7: $i] :
( ( ( ~ ( a1 @ SV7 @ SV46 ) )
= $true )
| ( ( likes @ piotr @ beer @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(231,plain,
! [SV47: mu,SV76: $i,SV8: $i] :
( ( ~ ( a2 @ SV8 @ SV76 )
| ~ ( likes @ SV47 @ pepsi @ SV76 )
| ( likes @ SV47 @ cola @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(232,plain,
! [SV48: mu,SV77: $i,SV9: $i] :
( ( ~ ( a2 @ SV9 @ SV77 )
| ~ ( likes @ SV48 @ cola @ SV77 )
| ( likes @ SV48 @ pepsi @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(233,plain,
! [SV49: $i,SV10: $i] :
( ( ( ~ ( a3 @ SV10 @ SV49 ) )
= $true )
| ( ( likes @ jan @ cola @ SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(234,plain,
! [SV11: $i] :
( ( ~ ( a3 @ SV11 @ ( sK2_SY685 @ SV11 ) )
| ~ ( likes @ piotr @ pepsi @ ( sK2_SY685 @ SV11 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[195]) ).
thf(235,plain,
! [SV12: $i] :
( ( ~ ( a1 @ SV12 @ ( sK3_SY686 @ SV12 ) )
| ~ ( likes @ piotr @ beer @ ( sK3_SY686 @ SV12 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[196]) ).
thf(236,plain,
! [SV78: mu,SV50: mu,SV13: $i] :
( ( ! [SY774: $i] :
( ~ ( a3 @ SV13 @ SY774 )
| ~ ~ ( ~ ( likes @ SV50 @ SV78 @ SY774 )
| ~ ~ ( ~ ! [SY775: $i] :
( ~ ( a1 @ SY774 @ SY775 )
| ( likes @ SV50 @ SV78 @ SY775 ) )
| ~ ! [SY776: $i] :
( ~ ( a2 @ SY774 @ SY776 )
| ( likes @ SV50 @ SV78 @ SY776 ) ) ) )
| ( very_much_likes @ SV50 @ SV78 @ SY774 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(237,plain,
! [SV79: mu,SV51: mu,SV14: $i] :
( ( ~ ! [SY777: $i] :
( ~ ( a3 @ SV14 @ SY777 )
| ( very_much_likes @ SV51 @ SV79 @ SY777 ) )
| ( very_much_likes @ SV51 @ SV79 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(238,plain,
! [SV80: mu,SV52: mu,SV15: $i] :
( ( ~ ~ ! [SY778: $i] :
( ~ ( a3 @ SV15 @ SY778 )
| ~ ( very_much_likes @ SV52 @ SV80 @ SY778 ) )
| ( likes @ SV52 @ SV80 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(239,plain,
! [SV81: mu,SV53: mu,SV16: $i] :
( ( ~ ~ ! [SY779: $i] :
( ~ ( a1 @ SV16 @ SY779 )
| ~ ( likes @ SV53 @ SV81 @ SY779 ) )
| ( possibly_likes @ SV53 @ SV81 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(240,plain,
! [SV82: mu,SV54: mu,SV17: $i] :
( ( ~ ~ ! [SY780: $i] :
( ~ ( a2 @ SV17 @ SY780 )
| ~ ( likes @ SV54 @ SV82 @ SY780 ) )
| ( possibly_likes @ SV54 @ SV82 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(241,plain,
! [SV83: mu,SV55: mu,SV18: $i] :
( ( ~ ~ ! [SY781: $i] :
( ~ ( a3 @ SV18 @ SY781 )
| ~ ( likes @ SV55 @ SV83 @ SY781 ) )
| ( possibly_likes @ SV55 @ SV83 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(242,plain,
! [SV84: $i,SV56: $i,SV19: $i] :
( ( ~ ~ ( ~ ( a2 @ SV19 @ SV56 )
| ~ ( a2 @ SV56 @ SV84 ) )
| ( a2 @ SV19 @ SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(243,plain,
! [SV85: $i,SV57: $i,SV20: $i] :
( ( ~ ~ ( ~ ( a3 @ SV20 @ SV57 )
| ~ ( a3 @ SV57 @ SV85 ) )
| ( a3 @ SV20 @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(244,plain,
! [SV86: $i,SV58: $i,SV21: $i] :
( ( ~ ~ ( ~ ( a2 @ SV21 @ SV58 )
| ~ ( a1 @ SV58 @ SV86 ) )
| ( a1 @ SV21 @ SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(245,plain,
! [SV87: $i,SV59: $i,SV22: $i] :
( ( ~ ~ ( ~ ( a1 @ SV22 @ SV59 )
| ~ ( a1 @ SV22 @ SV87 ) )
| ( a1 @ SV59 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(246,plain,
! [SV88: $i,SV60: $i,SV23: $i] :
( ( ~ ~ ( ~ ( a1 @ SV23 @ SV60 )
| ~ ( a2 @ SV60 @ SV88 ) )
| ( a2 @ SV23 @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(247,plain,
! [SV89: $i,SV61: $i,SV24: $i] :
( ( ~ ~ ( ~ ( a1 @ SV24 @ SV61 )
| ~ ( a3 @ SV61 @ SV89 ) )
| ( a3 @ SV24 @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(248,plain,
! [SV90: $i,SV62: $i,SV25: $i] :
( ( ~ ~ ( ~ ( a2 @ SV25 @ SV62 )
| ~ ( a3 @ SV62 @ SV90 ) )
| ( a3 @ SV25 @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(249,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ( a2 @ SV26 @ SV63 ) )
= $true )
| ( ( a3 @ SV26 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(250,plain,
! [SV91: $i,SV64: $i,SV27: $i] :
( ( ~ ~ ( ~ ( a1 @ SV27 @ SV64 )
| ~ ( a1 @ SV64 @ SV91 ) )
| ( a1 @ SV27 @ SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(251,plain,
! [SV28: $i] :
( ( ~ ( a3 @ SV28 @ ( sK4_SY724 @ SV28 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[212]) ).
thf(252,plain,
! [SV29: $i] :
( ( ~ ( a1 @ SV29 @ ( sK5_SY725 @ SV29 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[213]) ).
thf(253,plain,
! [SV92: $i,SV65: $i,SV30: $i] :
( ( ~ ~ ( ~ ( a3 @ SV30 @ SV65 )
| ~ ( a3 @ SV30 @ SV92 ) )
| ( a3 @ SV65 @ SV92 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(254,plain,
! [SV66: $i,SV31: $i] :
( ( ( ~ ( a1 @ SV31 @ SV66 ) )
= $true )
| ( ( a3 @ SV31 @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(255,plain,
! [SV93: $i,SV67: $i,SV32: $i] :
( ( ~ ~ ( ~ ( a2 @ SV32 @ SV67 )
| ~ ( a2 @ SV67 @ SV93 ) )
| ( a2 @ SV32 @ SV93 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(256,plain,
! [SV94: $i,SV68: $i,SV33: $i] :
( ( ~ ~ ( ~ ( a2 @ SV33 @ SV68 )
| ~ ( a2 @ SV33 @ SV94 ) )
| ( a2 @ SV68 @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(257,plain,
! [SV95: $i,SV69: $i,SV34: $i] :
( ( ~ ~ ( ~ ( a1 @ SV34 @ SV69 )
| ~ ( a1 @ SV69 @ SV95 ) )
| ( a1 @ SV34 @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(258,plain,
! [SV35: $i] :
( ( ~ ( a2 @ SV35 @ ( sK6_SY735 @ SV35 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[219]) ).
thf(259,plain,
! [SV70: $i,SV36: $i] :
( ( ( ~ ( a1 @ SV36 @ SV70 ) )
= $true )
| ( ( a1 @ SV70 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(260,plain,
! [SV71: $i,SV37: $i] :
( ( ( ~ ( a2 @ SV37 @ SV71 ) )
= $true )
| ( ( a2 @ SV71 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(261,plain,
! [SV72: $i,SV38: $i] :
( ( ( ~ ( a3 @ SV38 @ SV72 ) )
= $true )
| ( ( a3 @ SV72 @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(262,plain,
! [SV73: $i,SV39: $i] :
( ( ( ~ ( a1 @ SV39 @ SV73 ) )
= $true )
| ( ( a2 @ SV39 @ SV73 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(263,plain,
! [SV40: $i,SV1: $i] :
( ( ( a1 @ SV1 @ SV40 )
= $false )
| ( ( likes @ jan @ cola @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(264,plain,
! [SV41: $i,SV2: $i] :
( ( ( a1 @ SV2 @ SV41 )
= $false )
| ( ( likes @ piotr @ pepsi @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(265,plain,
! [SV42: mu,SV74: $i,SV3: $i] :
( ( ( ~ ( a1 @ SV3 @ SV74 ) )
= $true )
| ( ( ~ ~ ! [SY772: $i] :
( ~ ( a1 @ SV74 @ SY772 )
| ~ ( likes @ SV42 @ pepsi @ SY772 ) )
| ( likes @ SV42 @ cola @ SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(266,plain,
! [SV43: mu,SV75: $i,SV4: $i] :
( ( ( ~ ( a1 @ SV4 @ SV75 ) )
= $true )
| ( ( ~ ~ ! [SY773: $i] :
( ~ ( a1 @ SV75 @ SY773 )
| ~ ( likes @ SV43 @ cola @ SY773 ) )
| ( likes @ SV43 @ pepsi @ SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(267,plain,
! [SV44: $i,SV5: $i] :
( ( ( a2 @ SV5 @ SV44 )
= $false )
| ( ( likes @ jan @ pepsi @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(268,plain,
! [SV45: $i,SV6: $i] :
( ( ( a1 @ SV6 @ SV45 )
= $false )
| ( ( likes @ piotr @ cola @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(269,plain,
! [SV46: $i,SV7: $i] :
( ( ( a1 @ SV7 @ SV46 )
= $false )
| ( ( likes @ piotr @ beer @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(270,plain,
! [SV47: mu,SV76: $i,SV8: $i] :
( ( ( ~ ( a2 @ SV8 @ SV76 ) )
= $true )
| ( ( ~ ( likes @ SV47 @ pepsi @ SV76 )
| ( likes @ SV47 @ cola @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(271,plain,
! [SV48: mu,SV77: $i,SV9: $i] :
( ( ( ~ ( a2 @ SV9 @ SV77 ) )
= $true )
| ( ( ~ ( likes @ SV48 @ cola @ SV77 )
| ( likes @ SV48 @ pepsi @ SV77 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(272,plain,
! [SV49: $i,SV10: $i] :
( ( ( a3 @ SV10 @ SV49 )
= $false )
| ( ( likes @ jan @ cola @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(273,plain,
! [SV11: $i] :
( ( ~ ( a3 @ SV11 @ ( sK2_SY685 @ SV11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(274,plain,
! [SV11: $i] :
( ( ~ ( likes @ piotr @ pepsi @ ( sK2_SY685 @ SV11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(275,plain,
! [SV12: $i] :
( ( ~ ( a1 @ SV12 @ ( sK3_SY686 @ SV12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(276,plain,
! [SV12: $i] :
( ( ~ ( likes @ piotr @ beer @ ( sK3_SY686 @ SV12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(277,plain,
! [SV78: mu,SV50: mu,SV96: $i,SV13: $i] :
( ( ~ ( a3 @ SV13 @ SV96 )
| ~ ~ ( ~ ( likes @ SV50 @ SV78 @ SV96 )
| ~ ~ ( ~ ! [SY782: $i] :
( ~ ( a1 @ SV96 @ SY782 )
| ( likes @ SV50 @ SV78 @ SY782 ) )
| ~ ! [SY783: $i] :
( ~ ( a2 @ SV96 @ SY783 )
| ( likes @ SV50 @ SV78 @ SY783 ) ) ) )
| ( very_much_likes @ SV50 @ SV78 @ SV96 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(278,plain,
! [SV79: mu,SV51: mu,SV14: $i] :
( ( ( ~ ! [SY777: $i] :
( ~ ( a3 @ SV14 @ SY777 )
| ( very_much_likes @ SV51 @ SV79 @ SY777 ) ) )
= $true )
| ( ( very_much_likes @ SV51 @ SV79 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(279,plain,
! [SV80: mu,SV52: mu,SV15: $i] :
( ( ( ~ ~ ! [SY778: $i] :
( ~ ( a3 @ SV15 @ SY778 )
| ~ ( very_much_likes @ SV52 @ SV80 @ SY778 ) ) )
= $true )
| ( ( likes @ SV52 @ SV80 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(280,plain,
! [SV81: mu,SV53: mu,SV16: $i] :
( ( ( ~ ~ ! [SY779: $i] :
( ~ ( a1 @ SV16 @ SY779 )
| ~ ( likes @ SV53 @ SV81 @ SY779 ) ) )
= $true )
| ( ( possibly_likes @ SV53 @ SV81 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(281,plain,
! [SV82: mu,SV54: mu,SV17: $i] :
( ( ( ~ ~ ! [SY780: $i] :
( ~ ( a2 @ SV17 @ SY780 )
| ~ ( likes @ SV54 @ SV82 @ SY780 ) ) )
= $true )
| ( ( possibly_likes @ SV54 @ SV82 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(282,plain,
! [SV83: mu,SV55: mu,SV18: $i] :
( ( ( ~ ~ ! [SY781: $i] :
( ~ ( a3 @ SV18 @ SY781 )
| ~ ( likes @ SV55 @ SV83 @ SY781 ) ) )
= $true )
| ( ( possibly_likes @ SV55 @ SV83 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(283,plain,
! [SV84: $i,SV56: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ( a2 @ SV19 @ SV56 )
| ~ ( a2 @ SV56 @ SV84 ) ) )
= $true )
| ( ( a2 @ SV19 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(284,plain,
! [SV85: $i,SV57: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( a3 @ SV20 @ SV57 )
| ~ ( a3 @ SV57 @ SV85 ) ) )
= $true )
| ( ( a3 @ SV20 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(285,plain,
! [SV86: $i,SV58: $i,SV21: $i] :
( ( ( ~ ~ ( ~ ( a2 @ SV21 @ SV58 )
| ~ ( a1 @ SV58 @ SV86 ) ) )
= $true )
| ( ( a1 @ SV21 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(286,plain,
! [SV87: $i,SV59: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ( a1 @ SV22 @ SV59 )
| ~ ( a1 @ SV22 @ SV87 ) ) )
= $true )
| ( ( a1 @ SV59 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(287,plain,
! [SV88: $i,SV60: $i,SV23: $i] :
( ( ( ~ ~ ( ~ ( a1 @ SV23 @ SV60 )
| ~ ( a2 @ SV60 @ SV88 ) ) )
= $true )
| ( ( a2 @ SV23 @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(288,plain,
! [SV89: $i,SV61: $i,SV24: $i] :
( ( ( ~ ~ ( ~ ( a1 @ SV24 @ SV61 )
| ~ ( a3 @ SV61 @ SV89 ) ) )
= $true )
| ( ( a3 @ SV24 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(289,plain,
! [SV90: $i,SV62: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ( a2 @ SV25 @ SV62 )
| ~ ( a3 @ SV62 @ SV90 ) ) )
= $true )
| ( ( a3 @ SV25 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(290,plain,
! [SV63: $i,SV26: $i] :
( ( ( a2 @ SV26 @ SV63 )
= $false )
| ( ( a3 @ SV26 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(291,plain,
! [SV91: $i,SV64: $i,SV27: $i] :
( ( ( ~ ~ ( ~ ( a1 @ SV27 @ SV64 )
| ~ ( a1 @ SV64 @ SV91 ) ) )
= $true )
| ( ( a1 @ SV27 @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(292,plain,
! [SV28: $i] :
( ( a3 @ SV28 @ ( sK4_SY724 @ SV28 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(293,plain,
! [SV29: $i] :
( ( a1 @ SV29 @ ( sK5_SY725 @ SV29 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(294,plain,
! [SV92: $i,SV65: $i,SV30: $i] :
( ( ( ~ ~ ( ~ ( a3 @ SV30 @ SV65 )
| ~ ( a3 @ SV30 @ SV92 ) ) )
= $true )
| ( ( a3 @ SV65 @ SV92 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(295,plain,
! [SV66: $i,SV31: $i] :
( ( ( a1 @ SV31 @ SV66 )
= $false )
| ( ( a3 @ SV31 @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(296,plain,
! [SV93: $i,SV67: $i,SV32: $i] :
( ( ( ~ ~ ( ~ ( a2 @ SV32 @ SV67 )
| ~ ( a2 @ SV67 @ SV93 ) ) )
= $true )
| ( ( a2 @ SV32 @ SV93 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(297,plain,
! [SV94: $i,SV68: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( a2 @ SV33 @ SV68 )
| ~ ( a2 @ SV33 @ SV94 ) ) )
= $true )
| ( ( a2 @ SV68 @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(298,plain,
! [SV95: $i,SV69: $i,SV34: $i] :
( ( ( ~ ~ ( ~ ( a1 @ SV34 @ SV69 )
| ~ ( a1 @ SV69 @ SV95 ) ) )
= $true )
| ( ( a1 @ SV34 @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(299,plain,
! [SV35: $i] :
( ( a2 @ SV35 @ ( sK6_SY735 @ SV35 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(300,plain,
! [SV70: $i,SV36: $i] :
( ( ( a1 @ SV36 @ SV70 )
= $false )
| ( ( a1 @ SV70 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(301,plain,
! [SV71: $i,SV37: $i] :
( ( ( a2 @ SV37 @ SV71 )
= $false )
| ( ( a2 @ SV71 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(302,plain,
! [SV72: $i,SV38: $i] :
( ( ( a3 @ SV38 @ SV72 )
= $false )
| ( ( a3 @ SV72 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(303,plain,
! [SV73: $i,SV39: $i] :
( ( ( a1 @ SV39 @ SV73 )
= $false )
| ( ( a2 @ SV39 @ SV73 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(304,plain,
! [SV42: mu,SV74: $i,SV3: $i] :
( ( ( a1 @ SV3 @ SV74 )
= $false )
| ( ( ~ ~ ! [SY772: $i] :
( ~ ( a1 @ SV74 @ SY772 )
| ~ ( likes @ SV42 @ pepsi @ SY772 ) )
| ( likes @ SV42 @ cola @ SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(305,plain,
! [SV43: mu,SV75: $i,SV4: $i] :
( ( ( a1 @ SV4 @ SV75 )
= $false )
| ( ( ~ ~ ! [SY773: $i] :
( ~ ( a1 @ SV75 @ SY773 )
| ~ ( likes @ SV43 @ cola @ SY773 ) )
| ( likes @ SV43 @ pepsi @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(306,plain,
! [SV47: mu,SV76: $i,SV8: $i] :
( ( ( a2 @ SV8 @ SV76 )
= $false )
| ( ( ~ ( likes @ SV47 @ pepsi @ SV76 )
| ( likes @ SV47 @ cola @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(307,plain,
! [SV48: mu,SV77: $i,SV9: $i] :
( ( ( a2 @ SV9 @ SV77 )
= $false )
| ( ( ~ ( likes @ SV48 @ cola @ SV77 )
| ( likes @ SV48 @ pepsi @ SV77 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(308,plain,
! [SV11: $i] :
( ( a3 @ SV11 @ ( sK2_SY685 @ SV11 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(309,plain,
! [SV11: $i] :
( ( likes @ piotr @ pepsi @ ( sK2_SY685 @ SV11 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(310,plain,
! [SV12: $i] :
( ( a1 @ SV12 @ ( sK3_SY686 @ SV12 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(311,plain,
! [SV12: $i] :
( ( likes @ piotr @ beer @ ( sK3_SY686 @ SV12 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(312,plain,
! [SV78: mu,SV50: mu,SV96: $i,SV13: $i] :
( ( ( ~ ( a3 @ SV13 @ SV96 ) )
= $true )
| ( ( ~ ~ ( ~ ( likes @ SV50 @ SV78 @ SV96 )
| ~ ~ ( ~ ! [SY782: $i] :
( ~ ( a1 @ SV96 @ SY782 )
| ( likes @ SV50 @ SV78 @ SY782 ) )
| ~ ! [SY783: $i] :
( ~ ( a2 @ SV96 @ SY783 )
| ( likes @ SV50 @ SV78 @ SY783 ) ) ) )
| ( very_much_likes @ SV50 @ SV78 @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(313,plain,
! [SV79: mu,SV51: mu,SV14: $i] :
( ( ( ! [SY777: $i] :
( ~ ( a3 @ SV14 @ SY777 )
| ( very_much_likes @ SV51 @ SV79 @ SY777 ) ) )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(314,plain,
! [SV80: mu,SV52: mu,SV15: $i] :
( ( ( ~ ! [SY778: $i] :
( ~ ( a3 @ SV15 @ SY778 )
| ~ ( very_much_likes @ SV52 @ SV80 @ SY778 ) ) )
= $false )
| ( ( likes @ SV52 @ SV80 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(315,plain,
! [SV81: mu,SV53: mu,SV16: $i] :
( ( ( ~ ! [SY779: $i] :
( ~ ( a1 @ SV16 @ SY779 )
| ~ ( likes @ SV53 @ SV81 @ SY779 ) ) )
= $false )
| ( ( possibly_likes @ SV53 @ SV81 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(316,plain,
! [SV82: mu,SV54: mu,SV17: $i] :
( ( ( ~ ! [SY780: $i] :
( ~ ( a2 @ SV17 @ SY780 )
| ~ ( likes @ SV54 @ SV82 @ SY780 ) ) )
= $false )
| ( ( possibly_likes @ SV54 @ SV82 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(317,plain,
! [SV83: mu,SV55: mu,SV18: $i] :
( ( ( ~ ! [SY781: $i] :
( ~ ( a3 @ SV18 @ SY781 )
| ~ ( likes @ SV55 @ SV83 @ SY781 ) ) )
= $false )
| ( ( possibly_likes @ SV55 @ SV83 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(318,plain,
! [SV84: $i,SV56: $i,SV19: $i] :
( ( ( ~ ( ~ ( a2 @ SV19 @ SV56 )
| ~ ( a2 @ SV56 @ SV84 ) ) )
= $false )
| ( ( a2 @ SV19 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(319,plain,
! [SV85: $i,SV57: $i,SV20: $i] :
( ( ( ~ ( ~ ( a3 @ SV20 @ SV57 )
| ~ ( a3 @ SV57 @ SV85 ) ) )
= $false )
| ( ( a3 @ SV20 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(320,plain,
! [SV86: $i,SV58: $i,SV21: $i] :
( ( ( ~ ( ~ ( a2 @ SV21 @ SV58 )
| ~ ( a1 @ SV58 @ SV86 ) ) )
= $false )
| ( ( a1 @ SV21 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(321,plain,
! [SV87: $i,SV59: $i,SV22: $i] :
( ( ( ~ ( ~ ( a1 @ SV22 @ SV59 )
| ~ ( a1 @ SV22 @ SV87 ) ) )
= $false )
| ( ( a1 @ SV59 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(322,plain,
! [SV88: $i,SV60: $i,SV23: $i] :
( ( ( ~ ( ~ ( a1 @ SV23 @ SV60 )
| ~ ( a2 @ SV60 @ SV88 ) ) )
= $false )
| ( ( a2 @ SV23 @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(323,plain,
! [SV89: $i,SV61: $i,SV24: $i] :
( ( ( ~ ( ~ ( a1 @ SV24 @ SV61 )
| ~ ( a3 @ SV61 @ SV89 ) ) )
= $false )
| ( ( a3 @ SV24 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(324,plain,
! [SV90: $i,SV62: $i,SV25: $i] :
( ( ( ~ ( ~ ( a2 @ SV25 @ SV62 )
| ~ ( a3 @ SV62 @ SV90 ) ) )
= $false )
| ( ( a3 @ SV25 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(325,plain,
! [SV91: $i,SV64: $i,SV27: $i] :
( ( ( ~ ( ~ ( a1 @ SV27 @ SV64 )
| ~ ( a1 @ SV64 @ SV91 ) ) )
= $false )
| ( ( a1 @ SV27 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(326,plain,
! [SV92: $i,SV65: $i,SV30: $i] :
( ( ( ~ ( ~ ( a3 @ SV30 @ SV65 )
| ~ ( a3 @ SV30 @ SV92 ) ) )
= $false )
| ( ( a3 @ SV65 @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(327,plain,
! [SV93: $i,SV67: $i,SV32: $i] :
( ( ( ~ ( ~ ( a2 @ SV32 @ SV67 )
| ~ ( a2 @ SV67 @ SV93 ) ) )
= $false )
| ( ( a2 @ SV32 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(328,plain,
! [SV94: $i,SV68: $i,SV33: $i] :
( ( ( ~ ( ~ ( a2 @ SV33 @ SV68 )
| ~ ( a2 @ SV33 @ SV94 ) ) )
= $false )
| ( ( a2 @ SV68 @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(329,plain,
! [SV95: $i,SV69: $i,SV34: $i] :
( ( ( ~ ( ~ ( a1 @ SV34 @ SV69 )
| ~ ( a1 @ SV69 @ SV95 ) ) )
= $false )
| ( ( a1 @ SV34 @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(330,plain,
! [SV3: $i,SV42: mu,SV74: $i] :
( ( ( ~ ~ ! [SY772: $i] :
( ~ ( a1 @ SV74 @ SY772 )
| ~ ( likes @ SV42 @ pepsi @ SY772 ) ) )
= $true )
| ( ( likes @ SV42 @ cola @ SV74 )
= $true )
| ( ( a1 @ SV3 @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(331,plain,
! [SV4: $i,SV43: mu,SV75: $i] :
( ( ( ~ ~ ! [SY773: $i] :
( ~ ( a1 @ SV75 @ SY773 )
| ~ ( likes @ SV43 @ cola @ SY773 ) ) )
= $true )
| ( ( likes @ SV43 @ pepsi @ SV75 )
= $true )
| ( ( a1 @ SV4 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(332,plain,
! [SV8: $i,SV76: $i,SV47: mu] :
( ( ( ~ ( likes @ SV47 @ pepsi @ SV76 ) )
= $true )
| ( ( likes @ SV47 @ cola @ SV76 )
= $true )
| ( ( a2 @ SV8 @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(333,plain,
! [SV9: $i,SV77: $i,SV48: mu] :
( ( ( ~ ( likes @ SV48 @ cola @ SV77 ) )
= $true )
| ( ( likes @ SV48 @ pepsi @ SV77 )
= $true )
| ( ( a2 @ SV9 @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(334,plain,
! [SV78: mu,SV50: mu,SV96: $i,SV13: $i] :
( ( ( a3 @ SV13 @ SV96 )
= $false )
| ( ( ~ ~ ( ~ ( likes @ SV50 @ SV78 @ SV96 )
| ~ ~ ( ~ ! [SY782: $i] :
( ~ ( a1 @ SV96 @ SY782 )
| ( likes @ SV50 @ SV78 @ SY782 ) )
| ~ ! [SY783: $i] :
( ~ ( a2 @ SV96 @ SY783 )
| ( likes @ SV50 @ SV78 @ SY783 ) ) ) )
| ( very_much_likes @ SV50 @ SV78 @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(335,plain,
! [SV51: mu,SV79: mu,SV14: $i] :
( ( ( ~ ( a3 @ SV14 @ ( sK7_SY777 @ SV79 @ SV51 @ SV14 ) )
| ( very_much_likes @ SV51 @ SV79 @ ( sK7_SY777 @ SV79 @ SV51 @ SV14 ) ) )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV14 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[313]) ).
thf(336,plain,
! [SV80: mu,SV52: mu,SV15: $i] :
( ( ( ! [SY778: $i] :
( ~ ( a3 @ SV15 @ SY778 )
| ~ ( very_much_likes @ SV52 @ SV80 @ SY778 ) ) )
= $true )
| ( ( likes @ SV52 @ SV80 @ SV15 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(337,plain,
! [SV81: mu,SV53: mu,SV16: $i] :
( ( ( ! [SY779: $i] :
( ~ ( a1 @ SV16 @ SY779 )
| ~ ( likes @ SV53 @ SV81 @ SY779 ) ) )
= $true )
| ( ( possibly_likes @ SV53 @ SV81 @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(338,plain,
! [SV82: mu,SV54: mu,SV17: $i] :
( ( ( ! [SY780: $i] :
( ~ ( a2 @ SV17 @ SY780 )
| ~ ( likes @ SV54 @ SV82 @ SY780 ) ) )
= $true )
| ( ( possibly_likes @ SV54 @ SV82 @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(339,plain,
! [SV83: mu,SV55: mu,SV18: $i] :
( ( ( ! [SY781: $i] :
( ~ ( a3 @ SV18 @ SY781 )
| ~ ( likes @ SV55 @ SV83 @ SY781 ) ) )
= $true )
| ( ( possibly_likes @ SV55 @ SV83 @ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(340,plain,
! [SV84: $i,SV56: $i,SV19: $i] :
( ( ( ~ ( a2 @ SV19 @ SV56 )
| ~ ( a2 @ SV56 @ SV84 ) )
= $true )
| ( ( a2 @ SV19 @ SV84 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(341,plain,
! [SV85: $i,SV57: $i,SV20: $i] :
( ( ( ~ ( a3 @ SV20 @ SV57 )
| ~ ( a3 @ SV57 @ SV85 ) )
= $true )
| ( ( a3 @ SV20 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(342,plain,
! [SV86: $i,SV58: $i,SV21: $i] :
( ( ( ~ ( a2 @ SV21 @ SV58 )
| ~ ( a1 @ SV58 @ SV86 ) )
= $true )
| ( ( a1 @ SV21 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(343,plain,
! [SV87: $i,SV59: $i,SV22: $i] :
( ( ( ~ ( a1 @ SV22 @ SV59 )
| ~ ( a1 @ SV22 @ SV87 ) )
= $true )
| ( ( a1 @ SV59 @ SV87 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(344,plain,
! [SV88: $i,SV60: $i,SV23: $i] :
( ( ( ~ ( a1 @ SV23 @ SV60 )
| ~ ( a2 @ SV60 @ SV88 ) )
= $true )
| ( ( a2 @ SV23 @ SV88 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(345,plain,
! [SV89: $i,SV61: $i,SV24: $i] :
( ( ( ~ ( a1 @ SV24 @ SV61 )
| ~ ( a3 @ SV61 @ SV89 ) )
= $true )
| ( ( a3 @ SV24 @ SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(346,plain,
! [SV90: $i,SV62: $i,SV25: $i] :
( ( ( ~ ( a2 @ SV25 @ SV62 )
| ~ ( a3 @ SV62 @ SV90 ) )
= $true )
| ( ( a3 @ SV25 @ SV90 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(347,plain,
! [SV91: $i,SV64: $i,SV27: $i] :
( ( ( ~ ( a1 @ SV27 @ SV64 )
| ~ ( a1 @ SV64 @ SV91 ) )
= $true )
| ( ( a1 @ SV27 @ SV91 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(348,plain,
! [SV92: $i,SV65: $i,SV30: $i] :
( ( ( ~ ( a3 @ SV30 @ SV65 )
| ~ ( a3 @ SV30 @ SV92 ) )
= $true )
| ( ( a3 @ SV65 @ SV92 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(349,plain,
! [SV93: $i,SV67: $i,SV32: $i] :
( ( ( ~ ( a2 @ SV32 @ SV67 )
| ~ ( a2 @ SV67 @ SV93 ) )
= $true )
| ( ( a2 @ SV32 @ SV93 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(350,plain,
! [SV94: $i,SV68: $i,SV33: $i] :
( ( ( ~ ( a2 @ SV33 @ SV68 )
| ~ ( a2 @ SV33 @ SV94 ) )
= $true )
| ( ( a2 @ SV68 @ SV94 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(351,plain,
! [SV95: $i,SV69: $i,SV34: $i] :
( ( ( ~ ( a1 @ SV34 @ SV69 )
| ~ ( a1 @ SV69 @ SV95 ) )
= $true )
| ( ( a1 @ SV34 @ SV95 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(352,plain,
! [SV3: $i,SV42: mu,SV74: $i] :
( ( ( ~ ! [SY772: $i] :
( ~ ( a1 @ SV74 @ SY772 )
| ~ ( likes @ SV42 @ pepsi @ SY772 ) ) )
= $false )
| ( ( likes @ SV42 @ cola @ SV74 )
= $true )
| ( ( a1 @ SV3 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(353,plain,
! [SV4: $i,SV43: mu,SV75: $i] :
( ( ( ~ ! [SY773: $i] :
( ~ ( a1 @ SV75 @ SY773 )
| ~ ( likes @ SV43 @ cola @ SY773 ) ) )
= $false )
| ( ( likes @ SV43 @ pepsi @ SV75 )
= $true )
| ( ( a1 @ SV4 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(354,plain,
! [SV8: $i,SV76: $i,SV47: mu] :
( ( ( likes @ SV47 @ pepsi @ SV76 )
= $false )
| ( ( likes @ SV47 @ cola @ SV76 )
= $true )
| ( ( a2 @ SV8 @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(355,plain,
! [SV9: $i,SV77: $i,SV48: mu] :
( ( ( likes @ SV48 @ cola @ SV77 )
= $false )
| ( ( likes @ SV48 @ pepsi @ SV77 )
= $true )
| ( ( a2 @ SV9 @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(356,plain,
! [SV13: $i,SV96: $i,SV78: mu,SV50: mu] :
( ( ( ~ ~ ( ~ ( likes @ SV50 @ SV78 @ SV96 )
| ~ ~ ( ~ ! [SY782: $i] :
( ~ ( a1 @ SV96 @ SY782 )
| ( likes @ SV50 @ SV78 @ SY782 ) )
| ~ ! [SY783: $i] :
( ~ ( a2 @ SV96 @ SY783 )
| ( likes @ SV50 @ SV78 @ SY783 ) ) ) ) )
= $true )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(357,plain,
! [SV51: mu,SV79: mu,SV14: $i] :
( ( ( ~ ( a3 @ SV14 @ ( sK7_SY777 @ SV79 @ SV51 @ SV14 ) ) )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(358,plain,
! [SV14: $i,SV79: mu,SV51: mu] :
( ( ( very_much_likes @ SV51 @ SV79 @ ( sK7_SY777 @ SV79 @ SV51 @ SV14 ) )
= $false )
| ( ( very_much_likes @ SV51 @ SV79 @ SV14 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[335]) ).
thf(359,plain,
! [SV80: mu,SV52: mu,SV97: $i,SV15: $i] :
( ( ( ~ ( a3 @ SV15 @ SV97 )
| ~ ( very_much_likes @ SV52 @ SV80 @ SV97 ) )
= $true )
| ( ( likes @ SV52 @ SV80 @ SV15 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(360,plain,
! [SV81: mu,SV53: mu,SV98: $i,SV16: $i] :
( ( ( ~ ( a1 @ SV16 @ SV98 )
| ~ ( likes @ SV53 @ SV81 @ SV98 ) )
= $true )
| ( ( possibly_likes @ SV53 @ SV81 @ SV16 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(361,plain,
! [SV82: mu,SV54: mu,SV99: $i,SV17: $i] :
( ( ( ~ ( a2 @ SV17 @ SV99 )
| ~ ( likes @ SV54 @ SV82 @ SV99 ) )
= $true )
| ( ( possibly_likes @ SV54 @ SV82 @ SV17 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(362,plain,
! [SV83: mu,SV55: mu,SV100: $i,SV18: $i] :
( ( ( ~ ( a3 @ SV18 @ SV100 )
| ~ ( likes @ SV55 @ SV83 @ SV100 ) )
= $true )
| ( ( possibly_likes @ SV55 @ SV83 @ SV18 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(363,plain,
! [SV84: $i,SV56: $i,SV19: $i] :
( ( ( ~ ( a2 @ SV19 @ SV56 ) )
= $true )
| ( ( ~ ( a2 @ SV56 @ SV84 ) )
= $true )
| ( ( a2 @ SV19 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(364,plain,
! [SV85: $i,SV57: $i,SV20: $i] :
( ( ( ~ ( a3 @ SV20 @ SV57 ) )
= $true )
| ( ( ~ ( a3 @ SV57 @ SV85 ) )
= $true )
| ( ( a3 @ SV20 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(365,plain,
! [SV86: $i,SV58: $i,SV21: $i] :
( ( ( ~ ( a2 @ SV21 @ SV58 ) )
= $true )
| ( ( ~ ( a1 @ SV58 @ SV86 ) )
= $true )
| ( ( a1 @ SV21 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(366,plain,
! [SV87: $i,SV59: $i,SV22: $i] :
( ( ( ~ ( a1 @ SV22 @ SV59 ) )
= $true )
| ( ( ~ ( a1 @ SV22 @ SV87 ) )
= $true )
| ( ( a1 @ SV59 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(367,plain,
! [SV88: $i,SV60: $i,SV23: $i] :
( ( ( ~ ( a1 @ SV23 @ SV60 ) )
= $true )
| ( ( ~ ( a2 @ SV60 @ SV88 ) )
= $true )
| ( ( a2 @ SV23 @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(368,plain,
! [SV89: $i,SV61: $i,SV24: $i] :
( ( ( ~ ( a1 @ SV24 @ SV61 ) )
= $true )
| ( ( ~ ( a3 @ SV61 @ SV89 ) )
= $true )
| ( ( a3 @ SV24 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(369,plain,
! [SV90: $i,SV62: $i,SV25: $i] :
( ( ( ~ ( a2 @ SV25 @ SV62 ) )
= $true )
| ( ( ~ ( a3 @ SV62 @ SV90 ) )
= $true )
| ( ( a3 @ SV25 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(370,plain,
! [SV91: $i,SV64: $i,SV27: $i] :
( ( ( ~ ( a1 @ SV27 @ SV64 ) )
= $true )
| ( ( ~ ( a1 @ SV64 @ SV91 ) )
= $true )
| ( ( a1 @ SV27 @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(371,plain,
! [SV92: $i,SV65: $i,SV30: $i] :
( ( ( ~ ( a3 @ SV30 @ SV65 ) )
= $true )
| ( ( ~ ( a3 @ SV30 @ SV92 ) )
= $true )
| ( ( a3 @ SV65 @ SV92 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(372,plain,
! [SV93: $i,SV67: $i,SV32: $i] :
( ( ( ~ ( a2 @ SV32 @ SV67 ) )
= $true )
| ( ( ~ ( a2 @ SV67 @ SV93 ) )
= $true )
| ( ( a2 @ SV32 @ SV93 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(373,plain,
! [SV94: $i,SV68: $i,SV33: $i] :
( ( ( ~ ( a2 @ SV33 @ SV68 ) )
= $true )
| ( ( ~ ( a2 @ SV33 @ SV94 ) )
= $true )
| ( ( a2 @ SV68 @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(374,plain,
! [SV95: $i,SV69: $i,SV34: $i] :
( ( ( ~ ( a1 @ SV34 @ SV69 ) )
= $true )
| ( ( ~ ( a1 @ SV69 @ SV95 ) )
= $true )
| ( ( a1 @ SV34 @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(375,plain,
! [SV3: $i,SV42: mu,SV74: $i] :
( ( ( ! [SY772: $i] :
( ~ ( a1 @ SV74 @ SY772 )
| ~ ( likes @ SV42 @ pepsi @ SY772 ) ) )
= $true )
| ( ( likes @ SV42 @ cola @ SV74 )
= $true )
| ( ( a1 @ SV3 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(376,plain,
! [SV4: $i,SV43: mu,SV75: $i] :
( ( ( ! [SY773: $i] :
( ~ ( a1 @ SV75 @ SY773 )
| ~ ( likes @ SV43 @ cola @ SY773 ) ) )
= $true )
| ( ( likes @ SV43 @ pepsi @ SV75 )
= $true )
| ( ( a1 @ SV4 @ SV75 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(377,plain,
! [SV13: $i,SV96: $i,SV78: mu,SV50: mu] :
( ( ( ~ ( ~ ( likes @ SV50 @ SV78 @ SV96 )
| ~ ~ ( ~ ! [SY782: $i] :
( ~ ( a1 @ SV96 @ SY782 )
| ( likes @ SV50 @ SV78 @ SY782 ) )
| ~ ! [SY783: $i] :
( ~ ( a2 @ SV96 @ SY783 )
| ( likes @ SV50 @ SV78 @ SY783 ) ) ) ) )
= $false )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(378,plain,
! [SV51: mu,SV79: mu,SV14: $i] :
( ( ( a3 @ SV14 @ ( sK7_SY777 @ SV79 @ SV51 @ SV14 ) )
= $true )
| ( ( very_much_likes @ SV51 @ SV79 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(379,plain,
! [SV80: mu,SV52: mu,SV97: $i,SV15: $i] :
( ( ( ~ ( a3 @ SV15 @ SV97 ) )
= $true )
| ( ( ~ ( very_much_likes @ SV52 @ SV80 @ SV97 ) )
= $true )
| ( ( likes @ SV52 @ SV80 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(380,plain,
! [SV81: mu,SV53: mu,SV98: $i,SV16: $i] :
( ( ( ~ ( a1 @ SV16 @ SV98 ) )
= $true )
| ( ( ~ ( likes @ SV53 @ SV81 @ SV98 ) )
= $true )
| ( ( possibly_likes @ SV53 @ SV81 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[360]) ).
thf(381,plain,
! [SV82: mu,SV54: mu,SV99: $i,SV17: $i] :
( ( ( ~ ( a2 @ SV17 @ SV99 ) )
= $true )
| ( ( ~ ( likes @ SV54 @ SV82 @ SV99 ) )
= $true )
| ( ( possibly_likes @ SV54 @ SV82 @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(382,plain,
! [SV83: mu,SV55: mu,SV100: $i,SV18: $i] :
( ( ( ~ ( a3 @ SV18 @ SV100 ) )
= $true )
| ( ( ~ ( likes @ SV55 @ SV83 @ SV100 ) )
= $true )
| ( ( possibly_likes @ SV55 @ SV83 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(383,plain,
! [SV84: $i,SV56: $i,SV19: $i] :
( ( ( a2 @ SV19 @ SV56 )
= $false )
| ( ( ~ ( a2 @ SV56 @ SV84 ) )
= $true )
| ( ( a2 @ SV19 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(384,plain,
! [SV85: $i,SV57: $i,SV20: $i] :
( ( ( a3 @ SV20 @ SV57 )
= $false )
| ( ( ~ ( a3 @ SV57 @ SV85 ) )
= $true )
| ( ( a3 @ SV20 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(385,plain,
! [SV86: $i,SV58: $i,SV21: $i] :
( ( ( a2 @ SV21 @ SV58 )
= $false )
| ( ( ~ ( a1 @ SV58 @ SV86 ) )
= $true )
| ( ( a1 @ SV21 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(386,plain,
! [SV87: $i,SV59: $i,SV22: $i] :
( ( ( a1 @ SV22 @ SV59 )
= $false )
| ( ( ~ ( a1 @ SV22 @ SV87 ) )
= $true )
| ( ( a1 @ SV59 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(387,plain,
! [SV88: $i,SV60: $i,SV23: $i] :
( ( ( a1 @ SV23 @ SV60 )
= $false )
| ( ( ~ ( a2 @ SV60 @ SV88 ) )
= $true )
| ( ( a2 @ SV23 @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(388,plain,
! [SV89: $i,SV61: $i,SV24: $i] :
( ( ( a1 @ SV24 @ SV61 )
= $false )
| ( ( ~ ( a3 @ SV61 @ SV89 ) )
= $true )
| ( ( a3 @ SV24 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(389,plain,
! [SV90: $i,SV62: $i,SV25: $i] :
( ( ( a2 @ SV25 @ SV62 )
= $false )
| ( ( ~ ( a3 @ SV62 @ SV90 ) )
= $true )
| ( ( a3 @ SV25 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(390,plain,
! [SV91: $i,SV64: $i,SV27: $i] :
( ( ( a1 @ SV27 @ SV64 )
= $false )
| ( ( ~ ( a1 @ SV64 @ SV91 ) )
= $true )
| ( ( a1 @ SV27 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(391,plain,
! [SV92: $i,SV65: $i,SV30: $i] :
( ( ( a3 @ SV30 @ SV65 )
= $false )
| ( ( ~ ( a3 @ SV30 @ SV92 ) )
= $true )
| ( ( a3 @ SV65 @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(392,plain,
! [SV93: $i,SV67: $i,SV32: $i] :
( ( ( a2 @ SV32 @ SV67 )
= $false )
| ( ( ~ ( a2 @ SV67 @ SV93 ) )
= $true )
| ( ( a2 @ SV32 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(393,plain,
! [SV94: $i,SV68: $i,SV33: $i] :
( ( ( a2 @ SV33 @ SV68 )
= $false )
| ( ( ~ ( a2 @ SV33 @ SV94 ) )
= $true )
| ( ( a2 @ SV68 @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(394,plain,
! [SV95: $i,SV69: $i,SV34: $i] :
( ( ( a1 @ SV34 @ SV69 )
= $false )
| ( ( ~ ( a1 @ SV69 @ SV95 ) )
= $true )
| ( ( a1 @ SV34 @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(395,plain,
! [SV3: $i,SV42: mu,SV101: $i,SV74: $i] :
( ( ( ~ ( a1 @ SV74 @ SV101 )
| ~ ( likes @ SV42 @ pepsi @ SV101 ) )
= $true )
| ( ( likes @ SV42 @ cola @ SV74 )
= $true )
| ( ( a1 @ SV3 @ SV74 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(396,plain,
! [SV4: $i,SV43: mu,SV102: $i,SV75: $i] :
( ( ( ~ ( a1 @ SV75 @ SV102 )
| ~ ( likes @ SV43 @ cola @ SV102 ) )
= $true )
| ( ( likes @ SV43 @ pepsi @ SV75 )
= $true )
| ( ( a1 @ SV4 @ SV75 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(397,plain,
! [SV13: $i,SV96: $i,SV78: mu,SV50: mu] :
( ( ( ~ ( likes @ SV50 @ SV78 @ SV96 )
| ~ ~ ( ~ ! [SY782: $i] :
( ~ ( a1 @ SV96 @ SY782 )
| ( likes @ SV50 @ SV78 @ SY782 ) )
| ~ ! [SY783: $i] :
( ~ ( a2 @ SV96 @ SY783 )
| ( likes @ SV50 @ SV78 @ SY783 ) ) ) )
= $true )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(398,plain,
! [SV80: mu,SV52: mu,SV97: $i,SV15: $i] :
( ( ( a3 @ SV15 @ SV97 )
= $false )
| ( ( ~ ( very_much_likes @ SV52 @ SV80 @ SV97 ) )
= $true )
| ( ( likes @ SV52 @ SV80 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(399,plain,
! [SV81: mu,SV53: mu,SV98: $i,SV16: $i] :
( ( ( a1 @ SV16 @ SV98 )
= $false )
| ( ( ~ ( likes @ SV53 @ SV81 @ SV98 ) )
= $true )
| ( ( possibly_likes @ SV53 @ SV81 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(400,plain,
! [SV82: mu,SV54: mu,SV99: $i,SV17: $i] :
( ( ( a2 @ SV17 @ SV99 )
= $false )
| ( ( ~ ( likes @ SV54 @ SV82 @ SV99 ) )
= $true )
| ( ( possibly_likes @ SV54 @ SV82 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(401,plain,
! [SV83: mu,SV55: mu,SV100: $i,SV18: $i] :
( ( ( a3 @ SV18 @ SV100 )
= $false )
| ( ( ~ ( likes @ SV55 @ SV83 @ SV100 ) )
= $true )
| ( ( possibly_likes @ SV55 @ SV83 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(402,plain,
! [SV19: $i,SV84: $i,SV56: $i] :
( ( ( a2 @ SV56 @ SV84 )
= $false )
| ( ( a2 @ SV19 @ SV56 )
= $false )
| ( ( a2 @ SV19 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(403,plain,
! [SV20: $i,SV85: $i,SV57: $i] :
( ( ( a3 @ SV57 @ SV85 )
= $false )
| ( ( a3 @ SV20 @ SV57 )
= $false )
| ( ( a3 @ SV20 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(404,plain,
! [SV21: $i,SV86: $i,SV58: $i] :
( ( ( a1 @ SV58 @ SV86 )
= $false )
| ( ( a2 @ SV21 @ SV58 )
= $false )
| ( ( a1 @ SV21 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(405,plain,
! [SV59: $i,SV87: $i,SV22: $i] :
( ( ( a1 @ SV22 @ SV87 )
= $false )
| ( ( a1 @ SV22 @ SV59 )
= $false )
| ( ( a1 @ SV59 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(406,plain,
! [SV23: $i,SV88: $i,SV60: $i] :
( ( ( a2 @ SV60 @ SV88 )
= $false )
| ( ( a1 @ SV23 @ SV60 )
= $false )
| ( ( a2 @ SV23 @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(407,plain,
! [SV24: $i,SV89: $i,SV61: $i] :
( ( ( a3 @ SV61 @ SV89 )
= $false )
| ( ( a1 @ SV24 @ SV61 )
= $false )
| ( ( a3 @ SV24 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(408,plain,
! [SV25: $i,SV90: $i,SV62: $i] :
( ( ( a3 @ SV62 @ SV90 )
= $false )
| ( ( a2 @ SV25 @ SV62 )
= $false )
| ( ( a3 @ SV25 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(409,plain,
! [SV27: $i,SV91: $i,SV64: $i] :
( ( ( a1 @ SV64 @ SV91 )
= $false )
| ( ( a1 @ SV27 @ SV64 )
= $false )
| ( ( a1 @ SV27 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(410,plain,
! [SV65: $i,SV92: $i,SV30: $i] :
( ( ( a3 @ SV30 @ SV92 )
= $false )
| ( ( a3 @ SV30 @ SV65 )
= $false )
| ( ( a3 @ SV65 @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(411,plain,
! [SV32: $i,SV93: $i,SV67: $i] :
( ( ( a2 @ SV67 @ SV93 )
= $false )
| ( ( a2 @ SV32 @ SV67 )
= $false )
| ( ( a2 @ SV32 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(412,plain,
! [SV68: $i,SV94: $i,SV33: $i] :
( ( ( a2 @ SV33 @ SV94 )
= $false )
| ( ( a2 @ SV33 @ SV68 )
= $false )
| ( ( a2 @ SV68 @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(413,plain,
! [SV34: $i,SV95: $i,SV69: $i] :
( ( ( a1 @ SV69 @ SV95 )
= $false )
| ( ( a1 @ SV34 @ SV69 )
= $false )
| ( ( a1 @ SV34 @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(414,plain,
! [SV3: $i,SV42: mu,SV101: $i,SV74: $i] :
( ( ( ~ ( a1 @ SV74 @ SV101 ) )
= $true )
| ( ( ~ ( likes @ SV42 @ pepsi @ SV101 ) )
= $true )
| ( ( likes @ SV42 @ cola @ SV74 )
= $true )
| ( ( a1 @ SV3 @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(415,plain,
! [SV4: $i,SV43: mu,SV102: $i,SV75: $i] :
( ( ( ~ ( a1 @ SV75 @ SV102 ) )
= $true )
| ( ( ~ ( likes @ SV43 @ cola @ SV102 ) )
= $true )
| ( ( likes @ SV43 @ pepsi @ SV75 )
= $true )
| ( ( a1 @ SV4 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[396]) ).
thf(416,plain,
! [SV13: $i,SV96: $i,SV78: mu,SV50: mu] :
( ( ( ~ ( likes @ SV50 @ SV78 @ SV96 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY782: $i] :
( ~ ( a1 @ SV96 @ SY782 )
| ( likes @ SV50 @ SV78 @ SY782 ) )
| ~ ! [SY783: $i] :
( ~ ( a2 @ SV96 @ SY783 )
| ( likes @ SV50 @ SV78 @ SY783 ) ) ) )
= $true )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(417,plain,
! [SV15: $i,SV97: $i,SV80: mu,SV52: mu] :
( ( ( very_much_likes @ SV52 @ SV80 @ SV97 )
= $false )
| ( ( a3 @ SV15 @ SV97 )
= $false )
| ( ( likes @ SV52 @ SV80 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(418,plain,
! [SV16: $i,SV98: $i,SV81: mu,SV53: mu] :
( ( ( likes @ SV53 @ SV81 @ SV98 )
= $false )
| ( ( a1 @ SV16 @ SV98 )
= $false )
| ( ( possibly_likes @ SV53 @ SV81 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(419,plain,
! [SV17: $i,SV99: $i,SV82: mu,SV54: mu] :
( ( ( likes @ SV54 @ SV82 @ SV99 )
= $false )
| ( ( a2 @ SV17 @ SV99 )
= $false )
| ( ( possibly_likes @ SV54 @ SV82 @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(420,plain,
! [SV18: $i,SV100: $i,SV83: mu,SV55: mu] :
( ( ( likes @ SV55 @ SV83 @ SV100 )
= $false )
| ( ( a3 @ SV18 @ SV100 )
= $false )
| ( ( possibly_likes @ SV55 @ SV83 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(421,plain,
! [SV3: $i,SV42: mu,SV101: $i,SV74: $i] :
( ( ( a1 @ SV74 @ SV101 )
= $false )
| ( ( ~ ( likes @ SV42 @ pepsi @ SV101 ) )
= $true )
| ( ( likes @ SV42 @ cola @ SV74 )
= $true )
| ( ( a1 @ SV3 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(422,plain,
! [SV4: $i,SV43: mu,SV102: $i,SV75: $i] :
( ( ( a1 @ SV75 @ SV102 )
= $false )
| ( ( ~ ( likes @ SV43 @ cola @ SV102 ) )
= $true )
| ( ( likes @ SV43 @ pepsi @ SV75 )
= $true )
| ( ( a1 @ SV4 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(423,plain,
! [SV13: $i,SV96: $i,SV78: mu,SV50: mu] :
( ( ( likes @ SV50 @ SV78 @ SV96 )
= $false )
| ( ( ~ ~ ( ~ ! [SY782: $i] :
( ~ ( a1 @ SV96 @ SY782 )
| ( likes @ SV50 @ SV78 @ SY782 ) )
| ~ ! [SY783: $i] :
( ~ ( a2 @ SV96 @ SY783 )
| ( likes @ SV50 @ SV78 @ SY783 ) ) ) )
= $true )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(424,plain,
! [SV3: $i,SV74: $i,SV101: $i,SV42: mu] :
( ( ( likes @ SV42 @ pepsi @ SV101 )
= $false )
| ( ( a1 @ SV74 @ SV101 )
= $false )
| ( ( likes @ SV42 @ cola @ SV74 )
= $true )
| ( ( a1 @ SV3 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(425,plain,
! [SV4: $i,SV75: $i,SV102: $i,SV43: mu] :
( ( ( likes @ SV43 @ cola @ SV102 )
= $false )
| ( ( a1 @ SV75 @ SV102 )
= $false )
| ( ( likes @ SV43 @ pepsi @ SV75 )
= $true )
| ( ( a1 @ SV4 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(426,plain,
! [SV13: $i,SV78: mu,SV50: mu,SV96: $i] :
( ( ( ~ ( ~ ! [SY782: $i] :
( ~ ( a1 @ SV96 @ SY782 )
| ( likes @ SV50 @ SV78 @ SY782 ) )
| ~ ! [SY783: $i] :
( ~ ( a2 @ SV96 @ SY783 )
| ( likes @ SV50 @ SV78 @ SY783 ) ) ) )
= $false )
| ( ( likes @ SV50 @ SV78 @ SV96 )
= $false )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(427,plain,
! [SV13: $i,SV78: mu,SV50: mu,SV96: $i] :
( ( ( ~ ! [SY782: $i] :
( ~ ( a1 @ SV96 @ SY782 )
| ( likes @ SV50 @ SV78 @ SY782 ) )
| ~ ! [SY783: $i] :
( ~ ( a2 @ SV96 @ SY783 )
| ( likes @ SV50 @ SV78 @ SY783 ) ) )
= $true )
| ( ( likes @ SV50 @ SV78 @ SV96 )
= $false )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(428,plain,
! [SV13: $i,SV78: mu,SV50: mu,SV96: $i] :
( ( ( ~ ! [SY782: $i] :
( ~ ( a1 @ SV96 @ SY782 )
| ( likes @ SV50 @ SV78 @ SY782 ) ) )
= $true )
| ( ( ~ ! [SY783: $i] :
( ~ ( a2 @ SV96 @ SY783 )
| ( likes @ SV50 @ SV78 @ SY783 ) ) )
= $true )
| ( ( likes @ SV50 @ SV78 @ SV96 )
= $false )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[427]) ).
thf(429,plain,
! [SV13: $i,SV78: mu,SV50: mu,SV96: $i] :
( ( ( ! [SY782: $i] :
( ~ ( a1 @ SV96 @ SY782 )
| ( likes @ SV50 @ SV78 @ SY782 ) ) )
= $false )
| ( ( ~ ! [SY783: $i] :
( ~ ( a2 @ SV96 @ SY783 )
| ( likes @ SV50 @ SV78 @ SY783 ) ) )
= $true )
| ( ( likes @ SV50 @ SV78 @ SV96 )
= $false )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(430,plain,
! [SV50: mu,SV78: mu,SV13: $i,SV96: $i] :
( ( ( ~ ( a1 @ SV96 @ ( sK8_SY782 @ SV13 @ SV78 @ SV50 @ SV96 ) )
| ( likes @ SV50 @ SV78 @ ( sK8_SY782 @ SV13 @ SV78 @ SV50 @ SV96 ) ) )
= $false )
| ( ( ~ ! [SY783: $i] :
( ~ ( a2 @ SV96 @ SY783 )
| ( likes @ SV50 @ SV78 @ SY783 ) ) )
= $true )
| ( ( likes @ SV50 @ SV78 @ SV96 )
= $false )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[429]) ).
thf(431,plain,
! [SV50: mu,SV78: mu,SV13: $i,SV96: $i] :
( ( ( ~ ( a1 @ SV96 @ ( sK8_SY782 @ SV13 @ SV78 @ SV50 @ SV96 ) ) )
= $false )
| ( ( ~ ! [SY783: $i] :
( ~ ( a2 @ SV96 @ SY783 )
| ( likes @ SV50 @ SV78 @ SY783 ) ) )
= $true )
| ( ( likes @ SV50 @ SV78 @ SV96 )
= $false )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(432,plain,
! [SV96: $i,SV13: $i,SV78: mu,SV50: mu] :
( ( ( likes @ SV50 @ SV78 @ ( sK8_SY782 @ SV13 @ SV78 @ SV50 @ SV96 ) )
= $false )
| ( ( ~ ! [SY783: $i] :
( ~ ( a2 @ SV96 @ SY783 )
| ( likes @ SV50 @ SV78 @ SY783 ) ) )
= $true )
| ( ( likes @ SV50 @ SV78 @ SV96 )
= $false )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(433,plain,
! [SV50: mu,SV78: mu,SV13: $i,SV96: $i] :
( ( ( a1 @ SV96 @ ( sK8_SY782 @ SV13 @ SV78 @ SV50 @ SV96 ) )
= $true )
| ( ( ~ ! [SY783: $i] :
( ~ ( a2 @ SV96 @ SY783 )
| ( likes @ SV50 @ SV78 @ SY783 ) ) )
= $true )
| ( ( likes @ SV50 @ SV78 @ SV96 )
= $false )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(434,plain,
! [SV13: $i,SV78: mu,SV50: mu,SV96: $i] :
( ( ( ! [SY783: $i] :
( ~ ( a2 @ SV96 @ SY783 )
| ( likes @ SV50 @ SV78 @ SY783 ) ) )
= $false )
| ( ( likes @ SV50 @ SV78 @ ( sK8_SY782 @ SV13 @ SV78 @ SV50 @ SV96 ) )
= $false )
| ( ( likes @ SV50 @ SV78 @ SV96 )
= $false )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(435,plain,
! [SV13: $i,SV78: mu,SV50: mu,SV96: $i] :
( ( ( ! [SY783: $i] :
( ~ ( a2 @ SV96 @ SY783 )
| ( likes @ SV50 @ SV78 @ SY783 ) ) )
= $false )
| ( ( a1 @ SV96 @ ( sK8_SY782 @ SV13 @ SV78 @ SV50 @ SV96 ) )
= $true )
| ( ( likes @ SV50 @ SV78 @ SV96 )
= $false )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(436,plain,
! [SV50: mu,SV78: mu,SV13: $i,SV96: $i] :
( ( ( ~ ( a2 @ SV96 @ ( sK9_SY783 @ SV13 @ SV78 @ SV50 @ SV96 ) )
| ( likes @ SV50 @ SV78 @ ( sK9_SY783 @ SV13 @ SV78 @ SV50 @ SV96 ) ) )
= $false )
| ( ( likes @ SV50 @ SV78 @ ( sK8_SY782 @ SV13 @ SV78 @ SV50 @ SV96 ) )
= $false )
| ( ( likes @ SV50 @ SV78 @ SV96 )
= $false )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[434]) ).
thf(437,plain,
! [SV50: mu,SV78: mu,SV13: $i,SV96: $i] :
( ( ( ~ ( a2 @ SV96 @ ( sK10_SY783 @ SV13 @ SV78 @ SV50 @ SV96 ) )
| ( likes @ SV50 @ SV78 @ ( sK10_SY783 @ SV13 @ SV78 @ SV50 @ SV96 ) ) )
= $false )
| ( ( a1 @ SV96 @ ( sK8_SY782 @ SV13 @ SV78 @ SV50 @ SV96 ) )
= $true )
| ( ( likes @ SV50 @ SV78 @ SV96 )
= $false )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[435]) ).
thf(438,plain,
! [SV50: mu,SV78: mu,SV13: $i,SV96: $i] :
( ( ( ~ ( a2 @ SV96 @ ( sK9_SY783 @ SV13 @ SV78 @ SV50 @ SV96 ) ) )
= $false )
| ( ( likes @ SV50 @ SV78 @ ( sK8_SY782 @ SV13 @ SV78 @ SV50 @ SV96 ) )
= $false )
| ( ( likes @ SV50 @ SV78 @ SV96 )
= $false )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[436]) ).
thf(439,plain,
! [SV96: $i,SV13: $i,SV78: mu,SV50: mu] :
( ( ( likes @ SV50 @ SV78 @ ( sK9_SY783 @ SV13 @ SV78 @ SV50 @ SV96 ) )
= $false )
| ( ( likes @ SV50 @ SV78 @ ( sK8_SY782 @ SV13 @ SV78 @ SV50 @ SV96 ) )
= $false )
| ( ( likes @ SV50 @ SV78 @ SV96 )
= $false )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[436]) ).
thf(440,plain,
! [SV50: mu,SV78: mu,SV13: $i,SV96: $i] :
( ( ( ~ ( a2 @ SV96 @ ( sK10_SY783 @ SV13 @ SV78 @ SV50 @ SV96 ) ) )
= $false )
| ( ( a1 @ SV96 @ ( sK8_SY782 @ SV13 @ SV78 @ SV50 @ SV96 ) )
= $true )
| ( ( likes @ SV50 @ SV78 @ SV96 )
= $false )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[437]) ).
thf(441,plain,
! [SV96: $i,SV13: $i,SV78: mu,SV50: mu] :
( ( ( likes @ SV50 @ SV78 @ ( sK10_SY783 @ SV13 @ SV78 @ SV50 @ SV96 ) )
= $false )
| ( ( a1 @ SV96 @ ( sK8_SY782 @ SV13 @ SV78 @ SV50 @ SV96 ) )
= $true )
| ( ( likes @ SV50 @ SV78 @ SV96 )
= $false )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[437]) ).
thf(442,plain,
! [SV50: mu,SV78: mu,SV13: $i,SV96: $i] :
( ( ( a2 @ SV96 @ ( sK9_SY783 @ SV13 @ SV78 @ SV50 @ SV96 ) )
= $true )
| ( ( likes @ SV50 @ SV78 @ ( sK8_SY782 @ SV13 @ SV78 @ SV50 @ SV96 ) )
= $false )
| ( ( likes @ SV50 @ SV78 @ SV96 )
= $false )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(443,plain,
! [SV50: mu,SV78: mu,SV13: $i,SV96: $i] :
( ( ( a2 @ SV96 @ ( sK10_SY783 @ SV13 @ SV78 @ SV50 @ SV96 ) )
= $true )
| ( ( a1 @ SV96 @ ( sK8_SY782 @ SV13 @ SV78 @ SV50 @ SV96 ) )
= $true )
| ( ( likes @ SV50 @ SV78 @ SV96 )
= $false )
| ( ( very_much_likes @ SV50 @ SV78 @ SV96 )
= $true )
| ( ( a3 @ SV13 @ SV96 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[440]) ).
thf(444,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[163,443,442,441,439,425,424,420,419,418,417,413,412,411,410,409,408,407,406,405,404,403,402,378,358,355,354,311,310,309,308,303,302,301,300,299,295,293,292,290,272,269,268,267,264,263]) ).
thf(445,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[444]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT039^1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n008.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 18:00:39 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.82/0.58
% 1.82/0.58 No.of.Axioms: 39
% 1.82/0.58
% 1.82/0.58 Length.of.Defs: 5718
% 1.82/0.58
% 1.82/0.58 Contains.Choice.Funs: false
% 1.82/0.58 ...................
% 1.82/0.58
% 1.82/0.58 ********************************
% 1.82/0.58 * All subproblems solved! *
% 1.82/0.58 ********************************
% 1.82/0.58 % SZS status Theorem for /export/starexec/sandbox2/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:444,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.82/0.58
% 1.82/0.58 %**** Beginning of derivation protocol ****
% 1.82/0.58 % SZS output start CNFRefutation
% See solution above
% 1.54/0.58
% 1.54/0.58 %**** End of derivation protocol ****
% 1.54/0.58 %**** no. of clauses in derivation: 445 ****
% 1.54/0.58 %**** clause counter: 444 ****
% 1.54/0.58
% 1.54/0.58 % SZS status Theorem for /export/starexec/sandbox2/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:444,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------