TSTP Solution File: AGT037^2 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : AGT037^2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 12:01:32 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 100
% Syntax : Number of formulae : 298 ( 132 unt; 50 typ; 31 def)
% Number of atoms : 1709 ( 425 equ; 0 cnn)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 2954 ( 436 ~; 418 |; 8 &;2084 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 200 ( 200 >; 0 *; 0 +; 0 <<)
% Number of symbols : 52 ( 49 usr; 8 con; 0-4 aty)
% Number of variables : 722 ( 81 ^ 635 !; 6 ?; 722 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mu,type,
mu: $tType ).
thf(tp_a1,type,
a1: $i > $i > $o ).
thf(tp_a2,type,
a2: $i > $i > $o ).
thf(tp_a3,type,
a3: $i > $i > $o ).
thf(tp_beer,type,
beer: mu ).
thf(tp_cola,type,
cola: mu ).
thf(tp_jan,type,
jan: mu ).
thf(tp_likes,type,
likes: mu > mu > $i > $o ).
thf(tp_mand,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mbox,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mcountersatisfiable,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(tp_mdia,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_meq_ind,type,
meq_ind: mu > mu > $i > $o ).
thf(tp_meq_prop,type,
meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mequiv,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_meuclidean,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(tp_mexists_ind,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(tp_mexists_prop,type,
mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(tp_mfalse,type,
mfalse: $i > $o ).
thf(tp_mforall_ind,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(tp_mforall_prop,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(tp_mfunctional,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(tp_mimplied,type,
mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mimplies,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_minvalid,type,
minvalid: ( $i > $o ) > $o ).
thf(tp_mnot,type,
mnot: ( $i > $o ) > $i > $o ).
thf(tp_mor,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mpartially_functional,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(tp_mreflexive,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(tp_msatisfiable,type,
msatisfiable: ( $i > $o ) > $o ).
thf(tp_mserial,type,
mserial: ( $i > $i > $o ) > $o ).
thf(tp_msymmetric,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(tp_mtransitive,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(tp_mtrue,type,
mtrue: $i > $o ).
thf(tp_mvalid,type,
mvalid: ( $i > $o ) > $o ).
thf(tp_mweakly_connected,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(tp_mweakly_dense,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(tp_mweakly_directed,type,
mweakly_directed: ( $i > $i > $o ) > $o ).
thf(tp_mxor,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_pepsi,type,
pepsi: mu ).
thf(tp_piotr,type,
piotr: mu ).
thf(tp_possibly_likes,type,
possibly_likes: mu > mu > $i > $o ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SY15,type,
sK2_SY15: $i > $i ).
thf(tp_sK3_SY37,type,
sK3_SY37: $i > $i ).
thf(tp_sK4_SY58,type,
sK4_SY58: mu > mu > $i > $i ).
thf(tp_sK5_SY68,type,
sK5_SY68: $i > mu > mu > $i > $i ).
thf(tp_sK6_SY69,type,
sK6_SY69: $i > mu > mu > $i > $i ).
thf(tp_sK7_SY69,type,
sK7_SY69: $i > mu > mu > $i > $i ).
thf(tp_very_much_likes,type,
very_much_likes: mu > mu > $i > $o ).
thf(mand,definition,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
file('/export/starexec/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(1,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(2,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(3,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(4,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ X @ Y ) ) @ ( likes @ X @ Y ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_user_communication_2) ).
thf(5,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mbox @ a3 @ ( very_much_likes @ X @ Y ) ) @ ( very_much_likes @ X @ Y ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_user_communication_1) ).
thf(6,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mbox @ a3 @ ( mimplies @ ( mand @ ( likes @ X @ Y ) @ ( mand @ ( mbox @ a1 @ ( likes @ X @ Y ) ) @ ( mbox @ a2 @ ( likes @ X @ Y ) ) ) ) @ ( very_much_likes @ X @ Y ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_4) ).
thf(7,axiom,
mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_3) ).
thf(8,axiom,
mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_2) ).
thf(9,axiom,
mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_1) ).
thf(10,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X @ cola ) @ ( likes @ X @ pepsi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_5) ).
thf(11,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X @ pepsi ) @ ( likes @ X @ cola ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_4) ).
thf(12,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_3) ).
thf(13,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ cola ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_2) ).
thf(14,axiom,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_1) ).
thf(15,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ a1 @ ( mimplies @ ( mdia @ a1 @ ( likes @ X @ cola ) ) @ ( likes @ X @ pepsi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a1_4) ).
thf(16,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ a1 @ ( mimplies @ ( mdia @ a1 @ ( likes @ X @ pepsi ) ) @ ( likes @ X @ cola ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a1_3) ).
thf(17,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a1_2) ).
thf(18,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a1_1) ).
thf(19,conjecture,
mvalid @ ( possibly_likes @ jan @ cola ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(20,negated_conjecture,
( ( mvalid @ ( possibly_likes @ jan @ cola ) )
= $false ),
inference(negate_conjecture,[status(cth)],[19]) ).
thf(21,plain,
( ( ~ ( mvalid @ ( possibly_likes @ jan @ cola ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[20]) ).
thf(22,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(23,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ piotr @ pepsi ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(24,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ a1 @ ( mimplies @ ( mdia @ a1 @ ( likes @ X @ pepsi ) ) @ ( likes @ X @ cola ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(25,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ a1 @ ( mimplies @ ( mdia @ a1 @ ( likes @ X @ cola ) ) @ ( likes @ X @ pepsi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(26,plain,
( ( mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(27,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ piotr @ cola ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(28,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ piotr @ beer ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(29,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X @ pepsi ) @ ( likes @ X @ cola ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(30,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X @ cola ) @ ( likes @ X @ pepsi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(31,plain,
( ( mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(32,plain,
( ( mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(33,plain,
( ( mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(34,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mbox @ a3 @ ( mimplies @ ( mand @ ( likes @ X @ Y ) @ ( mand @ ( mbox @ a1 @ ( likes @ X @ Y ) ) @ ( mbox @ a2 @ ( likes @ X @ Y ) ) ) ) @ ( very_much_likes @ X @ Y ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(35,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mbox @ a3 @ ( very_much_likes @ X @ Y ) ) @ ( very_much_likes @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(36,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ X @ Y ) ) @ ( likes @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(37,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mdia @ a1 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(38,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mdia @ a2 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(39,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [X: mu] :
( mforall_ind
@ ^ [Y: mu] : ( mimplies @ ( mdia @ a3 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(40,plain,
( ( ~ ( mvalid @ ( possibly_likes @ jan @ cola ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(41,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( a2 @ SX0 @ SX2 )
| ~ ( likes @ SX1 @ pepsi @ SX2 )
| ( likes @ SX1 @ cola @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(42,plain,
( ( ! [SX0: $i,SX1: mu,SX2: mu] :
( ~ ! [SX3: $i] :
( ~ ( a3 @ SX0 @ SX3 )
| ( very_much_likes @ SX1 @ SX2 @ SX3 ) )
| ( very_much_likes @ SX1 @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(43,plain,
( ( ! [SX0: $i,SX1: mu,SX2: mu] :
( ~ ~ ! [SX3: $i] :
( ~ ( a3 @ SX0 @ SX3 )
| ~ ( likes @ SX1 @ SX2 @ SX3 ) )
| ( possibly_likes @ SX1 @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(44,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a2 @ SX0 @ SX1 )
| ( likes @ jan @ pepsi @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(45,plain,
( ( ! [SX0: $i,SX1: mu,SX2: mu] :
( ~ ~ ! [SX3: $i] :
( ~ ( a3 @ SX0 @ SX3 )
| ~ ( very_much_likes @ SX1 @ SX2 @ SX3 ) )
| ( likes @ SX1 @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(46,plain,
( ( ! [SX0: $i,SX1: mu,SX2: mu] :
( ~ ~ ! [SX3: $i] :
( ~ ( a1 @ SX0 @ SX3 )
| ~ ( likes @ SX1 @ SX2 @ SX3 ) )
| ( possibly_likes @ SX1 @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(47,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
( ~ ( a1 @ SX0 @ SX1 )
| ~ ( likes @ piotr @ beer @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(48,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( a1 @ SX0 @ SX2 )
| ~ ~ ! [SX3: $i] :
( ~ ( a1 @ SX2 @ SX3 )
| ~ ( likes @ SX1 @ pepsi @ SX3 ) )
| ( likes @ SX1 @ cola @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(49,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a1 @ SX0 @ SX1 )
| ( likes @ piotr @ pepsi @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(50,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a1 @ SX0 @ SX1 )
| ( likes @ piotr @ beer @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(51,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a1 @ SX0 @ SX1 )
| ( likes @ jan @ cola @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(52,plain,
( ( ! [SX0: $i,SX1: mu,SX2: mu,SX3: $i] :
( ~ ( a3 @ SX0 @ SX3 )
| ~ ~ ( ~ ( likes @ SX1 @ SX2 @ SX3 )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( a1 @ SX3 @ SX4 )
| ( likes @ SX1 @ SX2 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( a2 @ SX3 @ SX4 )
| ( likes @ SX1 @ SX2 @ SX4 ) ) ) )
| ( very_much_likes @ SX1 @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(53,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a3 @ SX0 @ SX1 )
| ( likes @ jan @ cola @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(54,plain,
( ( ! [SX0: $i,SX1: mu,SX2: mu] :
( ~ ~ ! [SX3: $i] :
( ~ ( a2 @ SX0 @ SX3 )
| ~ ( likes @ SX1 @ SX2 @ SX3 ) )
| ( possibly_likes @ SX1 @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(55,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( a1 @ SX0 @ SX1 )
| ( likes @ piotr @ cola @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(56,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( a2 @ SX0 @ SX2 )
| ~ ( likes @ SX1 @ cola @ SX2 )
| ( likes @ SX1 @ pepsi @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(57,plain,
( ( ~ ! [SX0: $i] : ( possibly_likes @ jan @ cola @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[40,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(58,plain,
( ( ! [SX0: $i,SX1: mu,SX2: $i] :
( ~ ( a1 @ SX0 @ SX2 )
| ~ ~ ! [SX3: $i] :
( ~ ( a1 @ SX2 @ SX3 )
| ~ ( likes @ SX1 @ cola @ SX3 ) )
| ( likes @ SX1 @ pepsi @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(59,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
( ~ ( a3 @ SX0 @ SX1 )
| ~ ( likes @ piotr @ pepsi @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(60,plain,
! [SV1: $i] :
( ( ! [SY0: mu,SY1: $i] :
( ~ ( a2 @ SV1 @ SY1 )
| ~ ( likes @ SY0 @ pepsi @ SY1 )
| ( likes @ SY0 @ cola @ SY1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(61,plain,
! [SV2: $i] :
( ( ! [SY2: mu,SY3: mu] :
( ~ ! [SY4: $i] :
( ~ ( a3 @ SV2 @ SY4 )
| ( very_much_likes @ SY2 @ SY3 @ SY4 ) )
| ( very_much_likes @ SY2 @ SY3 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(62,plain,
! [SV3: $i] :
( ( ! [SY5: mu,SY6: mu] :
( ~ ~ ! [SY7: $i] :
( ~ ( a3 @ SV3 @ SY7 )
| ~ ( likes @ SY5 @ SY6 @ SY7 ) )
| ( possibly_likes @ SY5 @ SY6 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(63,plain,
! [SV4: $i] :
( ( ! [SY8: $i] :
( ~ ( a2 @ SV4 @ SY8 )
| ( likes @ jan @ pepsi @ SY8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(64,plain,
! [SV5: $i] :
( ( ! [SY9: mu,SY10: mu] :
( ~ ~ ! [SY11: $i] :
( ~ ( a3 @ SV5 @ SY11 )
| ~ ( very_much_likes @ SY9 @ SY10 @ SY11 ) )
| ( likes @ SY9 @ SY10 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(65,plain,
! [SV6: $i] :
( ( ! [SY12: mu,SY13: mu] :
( ~ ~ ! [SY14: $i] :
( ~ ( a1 @ SV6 @ SY14 )
| ~ ( likes @ SY12 @ SY13 @ SY14 ) )
| ( possibly_likes @ SY12 @ SY13 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(66,plain,
! [SV7: $i] :
( ( ~ ! [SY15: $i] :
( ~ ( a1 @ SV7 @ SY15 )
| ~ ( likes @ piotr @ beer @ SY15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(67,plain,
! [SV8: $i] :
( ( ! [SY16: mu,SY17: $i] :
( ~ ( a1 @ SV8 @ SY17 )
| ~ ~ ! [SX3: $i] :
( ~ ( a1 @ SY17 @ SX3 )
| ~ ( likes @ SY16 @ pepsi @ SX3 ) )
| ( likes @ SY16 @ cola @ SY17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(68,plain,
! [SV9: $i] :
( ( ! [SY19: $i] :
( ~ ( a1 @ SV9 @ SY19 )
| ( likes @ piotr @ pepsi @ SY19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(69,plain,
! [SV10: $i] :
( ( ! [SY20: $i] :
( ~ ( a1 @ SV10 @ SY20 )
| ( likes @ piotr @ beer @ SY20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(70,plain,
! [SV11: $i] :
( ( ! [SY21: $i] :
( ~ ( a1 @ SV11 @ SY21 )
| ( likes @ jan @ cola @ SY21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(71,plain,
! [SV12: $i] :
( ( ! [SY22: mu,SY23: mu,SY24: $i] :
( ~ ( a3 @ SV12 @ SY24 )
| ~ ~ ( ~ ( likes @ SY22 @ SY23 @ SY24 )
| ~ ~ ( ~ ! [SX4: $i] :
( ~ ( a1 @ SY24 @ SX4 )
| ( likes @ SY22 @ SY23 @ SX4 ) )
| ~ ! [SX4: $i] :
( ~ ( a2 @ SY24 @ SX4 )
| ( likes @ SY22 @ SY23 @ SX4 ) ) ) )
| ( very_much_likes @ SY22 @ SY23 @ SY24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(72,plain,
! [SV13: $i] :
( ( ! [SY27: $i] :
( ~ ( a3 @ SV13 @ SY27 )
| ( likes @ jan @ cola @ SY27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(73,plain,
! [SV14: $i] :
( ( ! [SY28: mu,SY29: mu] :
( ~ ~ ! [SY30: $i] :
( ~ ( a2 @ SV14 @ SY30 )
| ~ ( likes @ SY28 @ SY29 @ SY30 ) )
| ( possibly_likes @ SY28 @ SY29 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(74,plain,
! [SV15: $i] :
( ( ! [SY31: $i] :
( ~ ( a1 @ SV15 @ SY31 )
| ( likes @ piotr @ cola @ SY31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(75,plain,
! [SV16: $i] :
( ( ! [SY32: mu,SY33: $i] :
( ~ ( a2 @ SV16 @ SY33 )
| ~ ( likes @ SY32 @ cola @ SY33 )
| ( likes @ SY32 @ pepsi @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(76,plain,
( ( ! [SX0: $i] : ( possibly_likes @ jan @ cola @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(77,plain,
! [SV17: $i] :
( ( ! [SY34: mu,SY35: $i] :
( ~ ( a1 @ SV17 @ SY35 )
| ~ ~ ! [SX3: $i] :
( ~ ( a1 @ SY35 @ SX3 )
| ~ ( likes @ SY34 @ cola @ SX3 ) )
| ( likes @ SY34 @ pepsi @ SY35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(78,plain,
! [SV18: $i] :
( ( ~ ! [SY37: $i] :
( ~ ( a3 @ SV18 @ SY37 )
| ~ ( likes @ piotr @ pepsi @ SY37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(79,plain,
! [SV19: mu,SV1: $i] :
( ( ! [SY38: $i] :
( ~ ( a2 @ SV1 @ SY38 )
| ~ ( likes @ SV19 @ pepsi @ SY38 )
| ( likes @ SV19 @ cola @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(80,plain,
! [SV20: mu,SV2: $i] :
( ( ! [SY39: mu] :
( ~ ! [SY40: $i] :
( ~ ( a3 @ SV2 @ SY40 )
| ( very_much_likes @ SV20 @ SY39 @ SY40 ) )
| ( very_much_likes @ SV20 @ SY39 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(81,plain,
! [SV21: mu,SV3: $i] :
( ( ! [SY41: mu] :
( ~ ~ ! [SY42: $i] :
( ~ ( a3 @ SV3 @ SY42 )
| ~ ( likes @ SV21 @ SY41 @ SY42 ) )
| ( possibly_likes @ SV21 @ SY41 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(82,plain,
! [SV22: $i,SV4: $i] :
( ( ~ ( a2 @ SV4 @ SV22 )
| ( likes @ jan @ pepsi @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(83,plain,
! [SV23: mu,SV5: $i] :
( ( ! [SY43: mu] :
( ~ ~ ! [SY44: $i] :
( ~ ( a3 @ SV5 @ SY44 )
| ~ ( very_much_likes @ SV23 @ SY43 @ SY44 ) )
| ( likes @ SV23 @ SY43 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(84,plain,
! [SV24: mu,SV6: $i] :
( ( ! [SY45: mu] :
( ~ ~ ! [SY46: $i] :
( ~ ( a1 @ SV6 @ SY46 )
| ~ ( likes @ SV24 @ SY45 @ SY46 ) )
| ( possibly_likes @ SV24 @ SY45 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(85,plain,
! [SV7: $i] :
( ( ! [SY15: $i] :
( ~ ( a1 @ SV7 @ SY15 )
| ~ ( likes @ piotr @ beer @ SY15 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(86,plain,
! [SV25: mu,SV8: $i] :
( ( ! [SY47: $i] :
( ~ ( a1 @ SV8 @ SY47 )
| ~ ~ ! [SY48: $i] :
( ~ ( a1 @ SY47 @ SY48 )
| ~ ( likes @ SV25 @ pepsi @ SY48 ) )
| ( likes @ SV25 @ cola @ SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(87,plain,
! [SV26: $i,SV9: $i] :
( ( ~ ( a1 @ SV9 @ SV26 )
| ( likes @ piotr @ pepsi @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(88,plain,
! [SV27: $i,SV10: $i] :
( ( ~ ( a1 @ SV10 @ SV27 )
| ( likes @ piotr @ beer @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(89,plain,
! [SV28: $i,SV11: $i] :
( ( ~ ( a1 @ SV11 @ SV28 )
| ( likes @ jan @ cola @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(90,plain,
! [SV29: mu,SV12: $i] :
( ( ! [SY49: mu,SY50: $i] :
( ~ ( a3 @ SV12 @ SY50 )
| ~ ~ ( ~ ( likes @ SV29 @ SY49 @ SY50 )
| ~ ~ ( ~ ! [SY51: $i] :
( ~ ( a1 @ SY50 @ SY51 )
| ( likes @ SV29 @ SY49 @ SY51 ) )
| ~ ! [SY52: $i] :
( ~ ( a2 @ SY50 @ SY52 )
| ( likes @ SV29 @ SY49 @ SY52 ) ) ) )
| ( very_much_likes @ SV29 @ SY49 @ SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(91,plain,
! [SV30: $i,SV13: $i] :
( ( ~ ( a3 @ SV13 @ SV30 )
| ( likes @ jan @ cola @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(92,plain,
! [SV31: mu,SV14: $i] :
( ( ! [SY53: mu] :
( ~ ~ ! [SY54: $i] :
( ~ ( a2 @ SV14 @ SY54 )
| ~ ( likes @ SV31 @ SY53 @ SY54 ) )
| ( possibly_likes @ SV31 @ SY53 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(93,plain,
! [SV32: $i,SV15: $i] :
( ( ~ ( a1 @ SV15 @ SV32 )
| ( likes @ piotr @ cola @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(94,plain,
! [SV33: mu,SV16: $i] :
( ( ! [SY55: $i] :
( ~ ( a2 @ SV16 @ SY55 )
| ~ ( likes @ SV33 @ cola @ SY55 )
| ( likes @ SV33 @ pepsi @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(95,plain,
( ( possibly_likes @ jan @ cola @ sK1_SX0 )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[76]) ).
thf(96,plain,
! [SV34: mu,SV17: $i] :
( ( ! [SY56: $i] :
( ~ ( a1 @ SV17 @ SY56 )
| ~ ~ ! [SY57: $i] :
( ~ ( a1 @ SY56 @ SY57 )
| ~ ( likes @ SV34 @ cola @ SY57 ) )
| ( likes @ SV34 @ pepsi @ SY56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(97,plain,
! [SV18: $i] :
( ( ! [SY37: $i] :
( ~ ( a3 @ SV18 @ SY37 )
| ~ ( likes @ piotr @ pepsi @ SY37 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(98,plain,
! [SV19: mu,SV35: $i,SV1: $i] :
( ( ~ ( a2 @ SV1 @ SV35 )
| ~ ( likes @ SV19 @ pepsi @ SV35 )
| ( likes @ SV19 @ cola @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(99,plain,
! [SV36: mu,SV20: mu,SV2: $i] :
( ( ~ ! [SY58: $i] :
( ~ ( a3 @ SV2 @ SY58 )
| ( very_much_likes @ SV20 @ SV36 @ SY58 ) )
| ( very_much_likes @ SV20 @ SV36 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(100,plain,
! [SV37: mu,SV21: mu,SV3: $i] :
( ( ~ ~ ! [SY59: $i] :
( ~ ( a3 @ SV3 @ SY59 )
| ~ ( likes @ SV21 @ SV37 @ SY59 ) )
| ( possibly_likes @ SV21 @ SV37 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(101,plain,
! [SV22: $i,SV4: $i] :
( ( ( ~ ( a2 @ SV4 @ SV22 ) )
= $true )
| ( ( likes @ jan @ pepsi @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(102,plain,
! [SV38: mu,SV23: mu,SV5: $i] :
( ( ~ ~ ! [SY60: $i] :
( ~ ( a3 @ SV5 @ SY60 )
| ~ ( very_much_likes @ SV23 @ SV38 @ SY60 ) )
| ( likes @ SV23 @ SV38 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(103,plain,
! [SV39: mu,SV24: mu,SV6: $i] :
( ( ~ ~ ! [SY61: $i] :
( ~ ( a1 @ SV6 @ SY61 )
| ~ ( likes @ SV24 @ SV39 @ SY61 ) )
| ( possibly_likes @ SV24 @ SV39 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(104,plain,
! [SV7: $i] :
( ( ~ ( a1 @ SV7 @ ( sK2_SY15 @ SV7 ) )
| ~ ( likes @ piotr @ beer @ ( sK2_SY15 @ SV7 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[85]) ).
thf(105,plain,
! [SV25: mu,SV40: $i,SV8: $i] :
( ( ~ ( a1 @ SV8 @ SV40 )
| ~ ~ ! [SY62: $i] :
( ~ ( a1 @ SV40 @ SY62 )
| ~ ( likes @ SV25 @ pepsi @ SY62 ) )
| ( likes @ SV25 @ cola @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(106,plain,
! [SV26: $i,SV9: $i] :
( ( ( ~ ( a1 @ SV9 @ SV26 ) )
= $true )
| ( ( likes @ piotr @ pepsi @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(107,plain,
! [SV27: $i,SV10: $i] :
( ( ( ~ ( a1 @ SV10 @ SV27 ) )
= $true )
| ( ( likes @ piotr @ beer @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(108,plain,
! [SV28: $i,SV11: $i] :
( ( ( ~ ( a1 @ SV11 @ SV28 ) )
= $true )
| ( ( likes @ jan @ cola @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(109,plain,
! [SV41: mu,SV29: mu,SV12: $i] :
( ( ! [SY63: $i] :
( ~ ( a3 @ SV12 @ SY63 )
| ~ ~ ( ~ ( likes @ SV29 @ SV41 @ SY63 )
| ~ ~ ( ~ ! [SY64: $i] :
( ~ ( a1 @ SY63 @ SY64 )
| ( likes @ SV29 @ SV41 @ SY64 ) )
| ~ ! [SY65: $i] :
( ~ ( a2 @ SY63 @ SY65 )
| ( likes @ SV29 @ SV41 @ SY65 ) ) ) )
| ( very_much_likes @ SV29 @ SV41 @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(110,plain,
! [SV30: $i,SV13: $i] :
( ( ( ~ ( a3 @ SV13 @ SV30 ) )
= $true )
| ( ( likes @ jan @ cola @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(111,plain,
! [SV42: mu,SV31: mu,SV14: $i] :
( ( ~ ~ ! [SY66: $i] :
( ~ ( a2 @ SV14 @ SY66 )
| ~ ( likes @ SV31 @ SV42 @ SY66 ) )
| ( possibly_likes @ SV31 @ SV42 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(112,plain,
! [SV32: $i,SV15: $i] :
( ( ( ~ ( a1 @ SV15 @ SV32 ) )
= $true )
| ( ( likes @ piotr @ cola @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(113,plain,
! [SV33: mu,SV43: $i,SV16: $i] :
( ( ~ ( a2 @ SV16 @ SV43 )
| ~ ( likes @ SV33 @ cola @ SV43 )
| ( likes @ SV33 @ pepsi @ SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(114,plain,
! [SV34: mu,SV44: $i,SV17: $i] :
( ( ~ ( a1 @ SV17 @ SV44 )
| ~ ~ ! [SY67: $i] :
( ~ ( a1 @ SV44 @ SY67 )
| ~ ( likes @ SV34 @ cola @ SY67 ) )
| ( likes @ SV34 @ pepsi @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(115,plain,
! [SV18: $i] :
( ( ~ ( a3 @ SV18 @ ( sK3_SY37 @ SV18 ) )
| ~ ( likes @ piotr @ pepsi @ ( sK3_SY37 @ SV18 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[97]) ).
thf(116,plain,
! [SV19: mu,SV35: $i,SV1: $i] :
( ( ( ~ ( a2 @ SV1 @ SV35 ) )
= $true )
| ( ( ~ ( likes @ SV19 @ pepsi @ SV35 )
| ( likes @ SV19 @ cola @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(117,plain,
! [SV36: mu,SV20: mu,SV2: $i] :
( ( ( ~ ! [SY58: $i] :
( ~ ( a3 @ SV2 @ SY58 )
| ( very_much_likes @ SV20 @ SV36 @ SY58 ) ) )
= $true )
| ( ( very_much_likes @ SV20 @ SV36 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(118,plain,
! [SV37: mu,SV21: mu,SV3: $i] :
( ( ( ~ ~ ! [SY59: $i] :
( ~ ( a3 @ SV3 @ SY59 )
| ~ ( likes @ SV21 @ SV37 @ SY59 ) ) )
= $true )
| ( ( possibly_likes @ SV21 @ SV37 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(119,plain,
! [SV22: $i,SV4: $i] :
( ( ( a2 @ SV4 @ SV22 )
= $false )
| ( ( likes @ jan @ pepsi @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(120,plain,
! [SV38: mu,SV23: mu,SV5: $i] :
( ( ( ~ ~ ! [SY60: $i] :
( ~ ( a3 @ SV5 @ SY60 )
| ~ ( very_much_likes @ SV23 @ SV38 @ SY60 ) ) )
= $true )
| ( ( likes @ SV23 @ SV38 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(121,plain,
! [SV39: mu,SV24: mu,SV6: $i] :
( ( ( ~ ~ ! [SY61: $i] :
( ~ ( a1 @ SV6 @ SY61 )
| ~ ( likes @ SV24 @ SV39 @ SY61 ) ) )
= $true )
| ( ( possibly_likes @ SV24 @ SV39 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(122,plain,
! [SV7: $i] :
( ( ~ ( a1 @ SV7 @ ( sK2_SY15 @ SV7 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(123,plain,
! [SV7: $i] :
( ( ~ ( likes @ piotr @ beer @ ( sK2_SY15 @ SV7 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(124,plain,
! [SV25: mu,SV40: $i,SV8: $i] :
( ( ( ~ ( a1 @ SV8 @ SV40 ) )
= $true )
| ( ( ~ ~ ! [SY62: $i] :
( ~ ( a1 @ SV40 @ SY62 )
| ~ ( likes @ SV25 @ pepsi @ SY62 ) )
| ( likes @ SV25 @ cola @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(125,plain,
! [SV26: $i,SV9: $i] :
( ( ( a1 @ SV9 @ SV26 )
= $false )
| ( ( likes @ piotr @ pepsi @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(126,plain,
! [SV27: $i,SV10: $i] :
( ( ( a1 @ SV10 @ SV27 )
= $false )
| ( ( likes @ piotr @ beer @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(127,plain,
! [SV28: $i,SV11: $i] :
( ( ( a1 @ SV11 @ SV28 )
= $false )
| ( ( likes @ jan @ cola @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(128,plain,
! [SV41: mu,SV29: mu,SV45: $i,SV12: $i] :
( ( ~ ( a3 @ SV12 @ SV45 )
| ~ ~ ( ~ ( likes @ SV29 @ SV41 @ SV45 )
| ~ ~ ( ~ ! [SY68: $i] :
( ~ ( a1 @ SV45 @ SY68 )
| ( likes @ SV29 @ SV41 @ SY68 ) )
| ~ ! [SY69: $i] :
( ~ ( a2 @ SV45 @ SY69 )
| ( likes @ SV29 @ SV41 @ SY69 ) ) ) )
| ( very_much_likes @ SV29 @ SV41 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(129,plain,
! [SV30: $i,SV13: $i] :
( ( ( a3 @ SV13 @ SV30 )
= $false )
| ( ( likes @ jan @ cola @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(130,plain,
! [SV42: mu,SV31: mu,SV14: $i] :
( ( ( ~ ~ ! [SY66: $i] :
( ~ ( a2 @ SV14 @ SY66 )
| ~ ( likes @ SV31 @ SV42 @ SY66 ) ) )
= $true )
| ( ( possibly_likes @ SV31 @ SV42 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(131,plain,
! [SV32: $i,SV15: $i] :
( ( ( a1 @ SV15 @ SV32 )
= $false )
| ( ( likes @ piotr @ cola @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(132,plain,
! [SV33: mu,SV43: $i,SV16: $i] :
( ( ( ~ ( a2 @ SV16 @ SV43 ) )
= $true )
| ( ( ~ ( likes @ SV33 @ cola @ SV43 )
| ( likes @ SV33 @ pepsi @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(133,plain,
! [SV34: mu,SV44: $i,SV17: $i] :
( ( ( ~ ( a1 @ SV17 @ SV44 ) )
= $true )
| ( ( ~ ~ ! [SY67: $i] :
( ~ ( a1 @ SV44 @ SY67 )
| ~ ( likes @ SV34 @ cola @ SY67 ) )
| ( likes @ SV34 @ pepsi @ SV44 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(134,plain,
! [SV18: $i] :
( ( ~ ( a3 @ SV18 @ ( sK3_SY37 @ SV18 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(135,plain,
! [SV18: $i] :
( ( ~ ( likes @ piotr @ pepsi @ ( sK3_SY37 @ SV18 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(136,plain,
! [SV19: mu,SV35: $i,SV1: $i] :
( ( ( a2 @ SV1 @ SV35 )
= $false )
| ( ( ~ ( likes @ SV19 @ pepsi @ SV35 )
| ( likes @ SV19 @ cola @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(137,plain,
! [SV36: mu,SV20: mu,SV2: $i] :
( ( ( ! [SY58: $i] :
( ~ ( a3 @ SV2 @ SY58 )
| ( very_much_likes @ SV20 @ SV36 @ SY58 ) ) )
= $false )
| ( ( very_much_likes @ SV20 @ SV36 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(138,plain,
! [SV37: mu,SV21: mu,SV3: $i] :
( ( ( ~ ! [SY59: $i] :
( ~ ( a3 @ SV3 @ SY59 )
| ~ ( likes @ SV21 @ SV37 @ SY59 ) ) )
= $false )
| ( ( possibly_likes @ SV21 @ SV37 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(139,plain,
! [SV38: mu,SV23: mu,SV5: $i] :
( ( ( ~ ! [SY60: $i] :
( ~ ( a3 @ SV5 @ SY60 )
| ~ ( very_much_likes @ SV23 @ SV38 @ SY60 ) ) )
= $false )
| ( ( likes @ SV23 @ SV38 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(140,plain,
! [SV39: mu,SV24: mu,SV6: $i] :
( ( ( ~ ! [SY61: $i] :
( ~ ( a1 @ SV6 @ SY61 )
| ~ ( likes @ SV24 @ SV39 @ SY61 ) ) )
= $false )
| ( ( possibly_likes @ SV24 @ SV39 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(141,plain,
! [SV7: $i] :
( ( a1 @ SV7 @ ( sK2_SY15 @ SV7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(142,plain,
! [SV7: $i] :
( ( likes @ piotr @ beer @ ( sK2_SY15 @ SV7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(143,plain,
! [SV25: mu,SV40: $i,SV8: $i] :
( ( ( a1 @ SV8 @ SV40 )
= $false )
| ( ( ~ ~ ! [SY62: $i] :
( ~ ( a1 @ SV40 @ SY62 )
| ~ ( likes @ SV25 @ pepsi @ SY62 ) )
| ( likes @ SV25 @ cola @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(144,plain,
! [SV41: mu,SV29: mu,SV45: $i,SV12: $i] :
( ( ( ~ ( a3 @ SV12 @ SV45 ) )
= $true )
| ( ( ~ ~ ( ~ ( likes @ SV29 @ SV41 @ SV45 )
| ~ ~ ( ~ ! [SY68: $i] :
( ~ ( a1 @ SV45 @ SY68 )
| ( likes @ SV29 @ SV41 @ SY68 ) )
| ~ ! [SY69: $i] :
( ~ ( a2 @ SV45 @ SY69 )
| ( likes @ SV29 @ SV41 @ SY69 ) ) ) )
| ( very_much_likes @ SV29 @ SV41 @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(145,plain,
! [SV42: mu,SV31: mu,SV14: $i] :
( ( ( ~ ! [SY66: $i] :
( ~ ( a2 @ SV14 @ SY66 )
| ~ ( likes @ SV31 @ SV42 @ SY66 ) ) )
= $false )
| ( ( possibly_likes @ SV31 @ SV42 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(146,plain,
! [SV33: mu,SV43: $i,SV16: $i] :
( ( ( a2 @ SV16 @ SV43 )
= $false )
| ( ( ~ ( likes @ SV33 @ cola @ SV43 )
| ( likes @ SV33 @ pepsi @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(147,plain,
! [SV34: mu,SV44: $i,SV17: $i] :
( ( ( a1 @ SV17 @ SV44 )
= $false )
| ( ( ~ ~ ! [SY67: $i] :
( ~ ( a1 @ SV44 @ SY67 )
| ~ ( likes @ SV34 @ cola @ SY67 ) )
| ( likes @ SV34 @ pepsi @ SV44 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(148,plain,
! [SV18: $i] :
( ( a3 @ SV18 @ ( sK3_SY37 @ SV18 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(149,plain,
! [SV18: $i] :
( ( likes @ piotr @ pepsi @ ( sK3_SY37 @ SV18 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(150,plain,
! [SV1: $i,SV35: $i,SV19: mu] :
( ( ( ~ ( likes @ SV19 @ pepsi @ SV35 ) )
= $true )
| ( ( likes @ SV19 @ cola @ SV35 )
= $true )
| ( ( a2 @ SV1 @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(151,plain,
! [SV20: mu,SV36: mu,SV2: $i] :
( ( ( ~ ( a3 @ SV2 @ ( sK4_SY58 @ SV36 @ SV20 @ SV2 ) )
| ( very_much_likes @ SV20 @ SV36 @ ( sK4_SY58 @ SV36 @ SV20 @ SV2 ) ) )
= $false )
| ( ( very_much_likes @ SV20 @ SV36 @ SV2 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[137]) ).
thf(152,plain,
! [SV37: mu,SV21: mu,SV3: $i] :
( ( ( ! [SY59: $i] :
( ~ ( a3 @ SV3 @ SY59 )
| ~ ( likes @ SV21 @ SV37 @ SY59 ) ) )
= $true )
| ( ( possibly_likes @ SV21 @ SV37 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(153,plain,
! [SV38: mu,SV23: mu,SV5: $i] :
( ( ( ! [SY60: $i] :
( ~ ( a3 @ SV5 @ SY60 )
| ~ ( very_much_likes @ SV23 @ SV38 @ SY60 ) ) )
= $true )
| ( ( likes @ SV23 @ SV38 @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(154,plain,
! [SV39: mu,SV24: mu,SV6: $i] :
( ( ( ! [SY61: $i] :
( ~ ( a1 @ SV6 @ SY61 )
| ~ ( likes @ SV24 @ SV39 @ SY61 ) ) )
= $true )
| ( ( possibly_likes @ SV24 @ SV39 @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(155,plain,
! [SV8: $i,SV25: mu,SV40: $i] :
( ( ( ~ ~ ! [SY62: $i] :
( ~ ( a1 @ SV40 @ SY62 )
| ~ ( likes @ SV25 @ pepsi @ SY62 ) ) )
= $true )
| ( ( likes @ SV25 @ cola @ SV40 )
= $true )
| ( ( a1 @ SV8 @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(156,plain,
! [SV41: mu,SV29: mu,SV45: $i,SV12: $i] :
( ( ( a3 @ SV12 @ SV45 )
= $false )
| ( ( ~ ~ ( ~ ( likes @ SV29 @ SV41 @ SV45 )
| ~ ~ ( ~ ! [SY68: $i] :
( ~ ( a1 @ SV45 @ SY68 )
| ( likes @ SV29 @ SV41 @ SY68 ) )
| ~ ! [SY69: $i] :
( ~ ( a2 @ SV45 @ SY69 )
| ( likes @ SV29 @ SV41 @ SY69 ) ) ) )
| ( very_much_likes @ SV29 @ SV41 @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(157,plain,
! [SV42: mu,SV31: mu,SV14: $i] :
( ( ( ! [SY66: $i] :
( ~ ( a2 @ SV14 @ SY66 )
| ~ ( likes @ SV31 @ SV42 @ SY66 ) ) )
= $true )
| ( ( possibly_likes @ SV31 @ SV42 @ SV14 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(158,plain,
! [SV16: $i,SV43: $i,SV33: mu] :
( ( ( ~ ( likes @ SV33 @ cola @ SV43 ) )
= $true )
| ( ( likes @ SV33 @ pepsi @ SV43 )
= $true )
| ( ( a2 @ SV16 @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(159,plain,
! [SV17: $i,SV34: mu,SV44: $i] :
( ( ( ~ ~ ! [SY67: $i] :
( ~ ( a1 @ SV44 @ SY67 )
| ~ ( likes @ SV34 @ cola @ SY67 ) ) )
= $true )
| ( ( likes @ SV34 @ pepsi @ SV44 )
= $true )
| ( ( a1 @ SV17 @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(160,plain,
! [SV1: $i,SV35: $i,SV19: mu] :
( ( ( likes @ SV19 @ pepsi @ SV35 )
= $false )
| ( ( likes @ SV19 @ cola @ SV35 )
= $true )
| ( ( a2 @ SV1 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(161,plain,
! [SV20: mu,SV36: mu,SV2: $i] :
( ( ( ~ ( a3 @ SV2 @ ( sK4_SY58 @ SV36 @ SV20 @ SV2 ) ) )
= $false )
| ( ( very_much_likes @ SV20 @ SV36 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(162,plain,
! [SV2: $i,SV36: mu,SV20: mu] :
( ( ( very_much_likes @ SV20 @ SV36 @ ( sK4_SY58 @ SV36 @ SV20 @ SV2 ) )
= $false )
| ( ( very_much_likes @ SV20 @ SV36 @ SV2 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(163,plain,
! [SV37: mu,SV21: mu,SV46: $i,SV3: $i] :
( ( ( ~ ( a3 @ SV3 @ SV46 )
| ~ ( likes @ SV21 @ SV37 @ SV46 ) )
= $true )
| ( ( possibly_likes @ SV21 @ SV37 @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(164,plain,
! [SV38: mu,SV23: mu,SV47: $i,SV5: $i] :
( ( ( ~ ( a3 @ SV5 @ SV47 )
| ~ ( very_much_likes @ SV23 @ SV38 @ SV47 ) )
= $true )
| ( ( likes @ SV23 @ SV38 @ SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(165,plain,
! [SV39: mu,SV24: mu,SV48: $i,SV6: $i] :
( ( ( ~ ( a1 @ SV6 @ SV48 )
| ~ ( likes @ SV24 @ SV39 @ SV48 ) )
= $true )
| ( ( possibly_likes @ SV24 @ SV39 @ SV6 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(166,plain,
! [SV8: $i,SV25: mu,SV40: $i] :
( ( ( ~ ! [SY62: $i] :
( ~ ( a1 @ SV40 @ SY62 )
| ~ ( likes @ SV25 @ pepsi @ SY62 ) ) )
= $false )
| ( ( likes @ SV25 @ cola @ SV40 )
= $true )
| ( ( a1 @ SV8 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(167,plain,
! [SV12: $i,SV45: $i,SV41: mu,SV29: mu] :
( ( ( ~ ~ ( ~ ( likes @ SV29 @ SV41 @ SV45 )
| ~ ~ ( ~ ! [SY68: $i] :
( ~ ( a1 @ SV45 @ SY68 )
| ( likes @ SV29 @ SV41 @ SY68 ) )
| ~ ! [SY69: $i] :
( ~ ( a2 @ SV45 @ SY69 )
| ( likes @ SV29 @ SV41 @ SY69 ) ) ) ) )
= $true )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(168,plain,
! [SV42: mu,SV31: mu,SV49: $i,SV14: $i] :
( ( ( ~ ( a2 @ SV14 @ SV49 )
| ~ ( likes @ SV31 @ SV42 @ SV49 ) )
= $true )
| ( ( possibly_likes @ SV31 @ SV42 @ SV14 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(169,plain,
! [SV16: $i,SV43: $i,SV33: mu] :
( ( ( likes @ SV33 @ cola @ SV43 )
= $false )
| ( ( likes @ SV33 @ pepsi @ SV43 )
= $true )
| ( ( a2 @ SV16 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(170,plain,
! [SV17: $i,SV34: mu,SV44: $i] :
( ( ( ~ ! [SY67: $i] :
( ~ ( a1 @ SV44 @ SY67 )
| ~ ( likes @ SV34 @ cola @ SY67 ) ) )
= $false )
| ( ( likes @ SV34 @ pepsi @ SV44 )
= $true )
| ( ( a1 @ SV17 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(171,plain,
! [SV20: mu,SV36: mu,SV2: $i] :
( ( ( a3 @ SV2 @ ( sK4_SY58 @ SV36 @ SV20 @ SV2 ) )
= $true )
| ( ( very_much_likes @ SV20 @ SV36 @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(172,plain,
! [SV37: mu,SV21: mu,SV46: $i,SV3: $i] :
( ( ( ~ ( a3 @ SV3 @ SV46 ) )
= $true )
| ( ( ~ ( likes @ SV21 @ SV37 @ SV46 ) )
= $true )
| ( ( possibly_likes @ SV21 @ SV37 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(173,plain,
! [SV38: mu,SV23: mu,SV47: $i,SV5: $i] :
( ( ( ~ ( a3 @ SV5 @ SV47 ) )
= $true )
| ( ( ~ ( very_much_likes @ SV23 @ SV38 @ SV47 ) )
= $true )
| ( ( likes @ SV23 @ SV38 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(174,plain,
! [SV39: mu,SV24: mu,SV48: $i,SV6: $i] :
( ( ( ~ ( a1 @ SV6 @ SV48 ) )
= $true )
| ( ( ~ ( likes @ SV24 @ SV39 @ SV48 ) )
= $true )
| ( ( possibly_likes @ SV24 @ SV39 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(175,plain,
! [SV8: $i,SV25: mu,SV40: $i] :
( ( ( ! [SY62: $i] :
( ~ ( a1 @ SV40 @ SY62 )
| ~ ( likes @ SV25 @ pepsi @ SY62 ) ) )
= $true )
| ( ( likes @ SV25 @ cola @ SV40 )
= $true )
| ( ( a1 @ SV8 @ SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(176,plain,
! [SV12: $i,SV45: $i,SV41: mu,SV29: mu] :
( ( ( ~ ( ~ ( likes @ SV29 @ SV41 @ SV45 )
| ~ ~ ( ~ ! [SY68: $i] :
( ~ ( a1 @ SV45 @ SY68 )
| ( likes @ SV29 @ SV41 @ SY68 ) )
| ~ ! [SY69: $i] :
( ~ ( a2 @ SV45 @ SY69 )
| ( likes @ SV29 @ SV41 @ SY69 ) ) ) ) )
= $false )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(177,plain,
! [SV42: mu,SV31: mu,SV49: $i,SV14: $i] :
( ( ( ~ ( a2 @ SV14 @ SV49 ) )
= $true )
| ( ( ~ ( likes @ SV31 @ SV42 @ SV49 ) )
= $true )
| ( ( possibly_likes @ SV31 @ SV42 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(178,plain,
! [SV17: $i,SV34: mu,SV44: $i] :
( ( ( ! [SY67: $i] :
( ~ ( a1 @ SV44 @ SY67 )
| ~ ( likes @ SV34 @ cola @ SY67 ) ) )
= $true )
| ( ( likes @ SV34 @ pepsi @ SV44 )
= $true )
| ( ( a1 @ SV17 @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(179,plain,
! [SV37: mu,SV21: mu,SV46: $i,SV3: $i] :
( ( ( a3 @ SV3 @ SV46 )
= $false )
| ( ( ~ ( likes @ SV21 @ SV37 @ SV46 ) )
= $true )
| ( ( possibly_likes @ SV21 @ SV37 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(180,plain,
! [SV38: mu,SV23: mu,SV47: $i,SV5: $i] :
( ( ( a3 @ SV5 @ SV47 )
= $false )
| ( ( ~ ( very_much_likes @ SV23 @ SV38 @ SV47 ) )
= $true )
| ( ( likes @ SV23 @ SV38 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(181,plain,
! [SV39: mu,SV24: mu,SV48: $i,SV6: $i] :
( ( ( a1 @ SV6 @ SV48 )
= $false )
| ( ( ~ ( likes @ SV24 @ SV39 @ SV48 ) )
= $true )
| ( ( possibly_likes @ SV24 @ SV39 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(182,plain,
! [SV8: $i,SV25: mu,SV50: $i,SV40: $i] :
( ( ( ~ ( a1 @ SV40 @ SV50 )
| ~ ( likes @ SV25 @ pepsi @ SV50 ) )
= $true )
| ( ( likes @ SV25 @ cola @ SV40 )
= $true )
| ( ( a1 @ SV8 @ SV40 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(183,plain,
! [SV12: $i,SV45: $i,SV41: mu,SV29: mu] :
( ( ( ~ ( likes @ SV29 @ SV41 @ SV45 )
| ~ ~ ( ~ ! [SY68: $i] :
( ~ ( a1 @ SV45 @ SY68 )
| ( likes @ SV29 @ SV41 @ SY68 ) )
| ~ ! [SY69: $i] :
( ~ ( a2 @ SV45 @ SY69 )
| ( likes @ SV29 @ SV41 @ SY69 ) ) ) )
= $true )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(184,plain,
! [SV42: mu,SV31: mu,SV49: $i,SV14: $i] :
( ( ( a2 @ SV14 @ SV49 )
= $false )
| ( ( ~ ( likes @ SV31 @ SV42 @ SV49 ) )
= $true )
| ( ( possibly_likes @ SV31 @ SV42 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(185,plain,
! [SV17: $i,SV34: mu,SV51: $i,SV44: $i] :
( ( ( ~ ( a1 @ SV44 @ SV51 )
| ~ ( likes @ SV34 @ cola @ SV51 ) )
= $true )
| ( ( likes @ SV34 @ pepsi @ SV44 )
= $true )
| ( ( a1 @ SV17 @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(186,plain,
! [SV3: $i,SV46: $i,SV37: mu,SV21: mu] :
( ( ( likes @ SV21 @ SV37 @ SV46 )
= $false )
| ( ( a3 @ SV3 @ SV46 )
= $false )
| ( ( possibly_likes @ SV21 @ SV37 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(187,plain,
! [SV5: $i,SV47: $i,SV38: mu,SV23: mu] :
( ( ( very_much_likes @ SV23 @ SV38 @ SV47 )
= $false )
| ( ( a3 @ SV5 @ SV47 )
= $false )
| ( ( likes @ SV23 @ SV38 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(188,plain,
! [SV6: $i,SV48: $i,SV39: mu,SV24: mu] :
( ( ( likes @ SV24 @ SV39 @ SV48 )
= $false )
| ( ( a1 @ SV6 @ SV48 )
= $false )
| ( ( possibly_likes @ SV24 @ SV39 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(189,plain,
! [SV8: $i,SV25: mu,SV50: $i,SV40: $i] :
( ( ( ~ ( a1 @ SV40 @ SV50 ) )
= $true )
| ( ( ~ ( likes @ SV25 @ pepsi @ SV50 ) )
= $true )
| ( ( likes @ SV25 @ cola @ SV40 )
= $true )
| ( ( a1 @ SV8 @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(190,plain,
! [SV12: $i,SV45: $i,SV41: mu,SV29: mu] :
( ( ( ~ ( likes @ SV29 @ SV41 @ SV45 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY68: $i] :
( ~ ( a1 @ SV45 @ SY68 )
| ( likes @ SV29 @ SV41 @ SY68 ) )
| ~ ! [SY69: $i] :
( ~ ( a2 @ SV45 @ SY69 )
| ( likes @ SV29 @ SV41 @ SY69 ) ) ) )
= $true )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(191,plain,
! [SV14: $i,SV49: $i,SV42: mu,SV31: mu] :
( ( ( likes @ SV31 @ SV42 @ SV49 )
= $false )
| ( ( a2 @ SV14 @ SV49 )
= $false )
| ( ( possibly_likes @ SV31 @ SV42 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(192,plain,
! [SV17: $i,SV34: mu,SV51: $i,SV44: $i] :
( ( ( ~ ( a1 @ SV44 @ SV51 ) )
= $true )
| ( ( ~ ( likes @ SV34 @ cola @ SV51 ) )
= $true )
| ( ( likes @ SV34 @ pepsi @ SV44 )
= $true )
| ( ( a1 @ SV17 @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(193,plain,
! [SV8: $i,SV25: mu,SV50: $i,SV40: $i] :
( ( ( a1 @ SV40 @ SV50 )
= $false )
| ( ( ~ ( likes @ SV25 @ pepsi @ SV50 ) )
= $true )
| ( ( likes @ SV25 @ cola @ SV40 )
= $true )
| ( ( a1 @ SV8 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(194,plain,
! [SV12: $i,SV45: $i,SV41: mu,SV29: mu] :
( ( ( likes @ SV29 @ SV41 @ SV45 )
= $false )
| ( ( ~ ~ ( ~ ! [SY68: $i] :
( ~ ( a1 @ SV45 @ SY68 )
| ( likes @ SV29 @ SV41 @ SY68 ) )
| ~ ! [SY69: $i] :
( ~ ( a2 @ SV45 @ SY69 )
| ( likes @ SV29 @ SV41 @ SY69 ) ) ) )
= $true )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(195,plain,
! [SV17: $i,SV34: mu,SV51: $i,SV44: $i] :
( ( ( a1 @ SV44 @ SV51 )
= $false )
| ( ( ~ ( likes @ SV34 @ cola @ SV51 ) )
= $true )
| ( ( likes @ SV34 @ pepsi @ SV44 )
= $true )
| ( ( a1 @ SV17 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(196,plain,
! [SV8: $i,SV40: $i,SV50: $i,SV25: mu] :
( ( ( likes @ SV25 @ pepsi @ SV50 )
= $false )
| ( ( a1 @ SV40 @ SV50 )
= $false )
| ( ( likes @ SV25 @ cola @ SV40 )
= $true )
| ( ( a1 @ SV8 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(197,plain,
! [SV12: $i,SV41: mu,SV29: mu,SV45: $i] :
( ( ( ~ ( ~ ! [SY68: $i] :
( ~ ( a1 @ SV45 @ SY68 )
| ( likes @ SV29 @ SV41 @ SY68 ) )
| ~ ! [SY69: $i] :
( ~ ( a2 @ SV45 @ SY69 )
| ( likes @ SV29 @ SV41 @ SY69 ) ) ) )
= $false )
| ( ( likes @ SV29 @ SV41 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(198,plain,
! [SV17: $i,SV44: $i,SV51: $i,SV34: mu] :
( ( ( likes @ SV34 @ cola @ SV51 )
= $false )
| ( ( a1 @ SV44 @ SV51 )
= $false )
| ( ( likes @ SV34 @ pepsi @ SV44 )
= $true )
| ( ( a1 @ SV17 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(199,plain,
! [SV12: $i,SV41: mu,SV29: mu,SV45: $i] :
( ( ( ~ ! [SY68: $i] :
( ~ ( a1 @ SV45 @ SY68 )
| ( likes @ SV29 @ SV41 @ SY68 ) )
| ~ ! [SY69: $i] :
( ~ ( a2 @ SV45 @ SY69 )
| ( likes @ SV29 @ SV41 @ SY69 ) ) )
= $true )
| ( ( likes @ SV29 @ SV41 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(200,plain,
! [SV12: $i,SV41: mu,SV29: mu,SV45: $i] :
( ( ( ~ ! [SY68: $i] :
( ~ ( a1 @ SV45 @ SY68 )
| ( likes @ SV29 @ SV41 @ SY68 ) ) )
= $true )
| ( ( ~ ! [SY69: $i] :
( ~ ( a2 @ SV45 @ SY69 )
| ( likes @ SV29 @ SV41 @ SY69 ) ) )
= $true )
| ( ( likes @ SV29 @ SV41 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(201,plain,
! [SV12: $i,SV41: mu,SV29: mu,SV45: $i] :
( ( ( ! [SY68: $i] :
( ~ ( a1 @ SV45 @ SY68 )
| ( likes @ SV29 @ SV41 @ SY68 ) ) )
= $false )
| ( ( ~ ! [SY69: $i] :
( ~ ( a2 @ SV45 @ SY69 )
| ( likes @ SV29 @ SV41 @ SY69 ) ) )
= $true )
| ( ( likes @ SV29 @ SV41 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(202,plain,
! [SV29: mu,SV41: mu,SV12: $i,SV45: $i] :
( ( ( ~ ( a1 @ SV45 @ ( sK5_SY68 @ SV12 @ SV41 @ SV29 @ SV45 ) )
| ( likes @ SV29 @ SV41 @ ( sK5_SY68 @ SV12 @ SV41 @ SV29 @ SV45 ) ) )
= $false )
| ( ( ~ ! [SY69: $i] :
( ~ ( a2 @ SV45 @ SY69 )
| ( likes @ SV29 @ SV41 @ SY69 ) ) )
= $true )
| ( ( likes @ SV29 @ SV41 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[201]) ).
thf(203,plain,
! [SV29: mu,SV41: mu,SV12: $i,SV45: $i] :
( ( ( ~ ( a1 @ SV45 @ ( sK5_SY68 @ SV12 @ SV41 @ SV29 @ SV45 ) ) )
= $false )
| ( ( ~ ! [SY69: $i] :
( ~ ( a2 @ SV45 @ SY69 )
| ( likes @ SV29 @ SV41 @ SY69 ) ) )
= $true )
| ( ( likes @ SV29 @ SV41 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(204,plain,
! [SV45: $i,SV12: $i,SV41: mu,SV29: mu] :
( ( ( likes @ SV29 @ SV41 @ ( sK5_SY68 @ SV12 @ SV41 @ SV29 @ SV45 ) )
= $false )
| ( ( ~ ! [SY69: $i] :
( ~ ( a2 @ SV45 @ SY69 )
| ( likes @ SV29 @ SV41 @ SY69 ) ) )
= $true )
| ( ( likes @ SV29 @ SV41 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(205,plain,
! [SV29: mu,SV41: mu,SV12: $i,SV45: $i] :
( ( ( a1 @ SV45 @ ( sK5_SY68 @ SV12 @ SV41 @ SV29 @ SV45 ) )
= $true )
| ( ( ~ ! [SY69: $i] :
( ~ ( a2 @ SV45 @ SY69 )
| ( likes @ SV29 @ SV41 @ SY69 ) ) )
= $true )
| ( ( likes @ SV29 @ SV41 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(206,plain,
! [SV12: $i,SV41: mu,SV29: mu,SV45: $i] :
( ( ( ! [SY69: $i] :
( ~ ( a2 @ SV45 @ SY69 )
| ( likes @ SV29 @ SV41 @ SY69 ) ) )
= $false )
| ( ( likes @ SV29 @ SV41 @ ( sK5_SY68 @ SV12 @ SV41 @ SV29 @ SV45 ) )
= $false )
| ( ( likes @ SV29 @ SV41 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(207,plain,
! [SV12: $i,SV41: mu,SV29: mu,SV45: $i] :
( ( ( ! [SY69: $i] :
( ~ ( a2 @ SV45 @ SY69 )
| ( likes @ SV29 @ SV41 @ SY69 ) ) )
= $false )
| ( ( a1 @ SV45 @ ( sK5_SY68 @ SV12 @ SV41 @ SV29 @ SV45 ) )
= $true )
| ( ( likes @ SV29 @ SV41 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(208,plain,
! [SV29: mu,SV41: mu,SV12: $i,SV45: $i] :
( ( ( ~ ( a2 @ SV45 @ ( sK6_SY69 @ SV12 @ SV41 @ SV29 @ SV45 ) )
| ( likes @ SV29 @ SV41 @ ( sK6_SY69 @ SV12 @ SV41 @ SV29 @ SV45 ) ) )
= $false )
| ( ( likes @ SV29 @ SV41 @ ( sK5_SY68 @ SV12 @ SV41 @ SV29 @ SV45 ) )
= $false )
| ( ( likes @ SV29 @ SV41 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[206]) ).
thf(209,plain,
! [SV29: mu,SV41: mu,SV12: $i,SV45: $i] :
( ( ( ~ ( a2 @ SV45 @ ( sK7_SY69 @ SV12 @ SV41 @ SV29 @ SV45 ) )
| ( likes @ SV29 @ SV41 @ ( sK7_SY69 @ SV12 @ SV41 @ SV29 @ SV45 ) ) )
= $false )
| ( ( a1 @ SV45 @ ( sK5_SY68 @ SV12 @ SV41 @ SV29 @ SV45 ) )
= $true )
| ( ( likes @ SV29 @ SV41 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[207]) ).
thf(210,plain,
! [SV29: mu,SV41: mu,SV12: $i,SV45: $i] :
( ( ( ~ ( a2 @ SV45 @ ( sK6_SY69 @ SV12 @ SV41 @ SV29 @ SV45 ) ) )
= $false )
| ( ( likes @ SV29 @ SV41 @ ( sK5_SY68 @ SV12 @ SV41 @ SV29 @ SV45 ) )
= $false )
| ( ( likes @ SV29 @ SV41 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[208]) ).
thf(211,plain,
! [SV45: $i,SV12: $i,SV41: mu,SV29: mu] :
( ( ( likes @ SV29 @ SV41 @ ( sK6_SY69 @ SV12 @ SV41 @ SV29 @ SV45 ) )
= $false )
| ( ( likes @ SV29 @ SV41 @ ( sK5_SY68 @ SV12 @ SV41 @ SV29 @ SV45 ) )
= $false )
| ( ( likes @ SV29 @ SV41 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[208]) ).
thf(212,plain,
! [SV29: mu,SV41: mu,SV12: $i,SV45: $i] :
( ( ( ~ ( a2 @ SV45 @ ( sK7_SY69 @ SV12 @ SV41 @ SV29 @ SV45 ) ) )
= $false )
| ( ( a1 @ SV45 @ ( sK5_SY68 @ SV12 @ SV41 @ SV29 @ SV45 ) )
= $true )
| ( ( likes @ SV29 @ SV41 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(213,plain,
! [SV45: $i,SV12: $i,SV41: mu,SV29: mu] :
( ( ( likes @ SV29 @ SV41 @ ( sK7_SY69 @ SV12 @ SV41 @ SV29 @ SV45 ) )
= $false )
| ( ( a1 @ SV45 @ ( sK5_SY68 @ SV12 @ SV41 @ SV29 @ SV45 ) )
= $true )
| ( ( likes @ SV29 @ SV41 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(214,plain,
! [SV29: mu,SV41: mu,SV12: $i,SV45: $i] :
( ( ( a2 @ SV45 @ ( sK6_SY69 @ SV12 @ SV41 @ SV29 @ SV45 ) )
= $true )
| ( ( likes @ SV29 @ SV41 @ ( sK5_SY68 @ SV12 @ SV41 @ SV29 @ SV45 ) )
= $false )
| ( ( likes @ SV29 @ SV41 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(215,plain,
! [SV29: mu,SV41: mu,SV12: $i,SV45: $i] :
( ( ( a2 @ SV45 @ ( sK7_SY69 @ SV12 @ SV41 @ SV29 @ SV45 ) )
= $true )
| ( ( a1 @ SV45 @ ( sK5_SY68 @ SV12 @ SV41 @ SV29 @ SV45 ) )
= $true )
| ( ( likes @ SV29 @ SV41 @ SV45 )
= $false )
| ( ( very_much_likes @ SV29 @ SV41 @ SV45 )
= $true )
| ( ( a3 @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(216,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[95,215,214,213,211,198,196,191,188,187,186,171,169,162,160,149,148,142,141,131,129,127,126,125,119]) ).
thf(217,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : AGT037^2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 4 03:36:17 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.37
% 0.13/0.37 No.of.Axioms: 18
% 0.13/0.37
% 0.13/0.37 Length.of.Defs: 5324
% 0.13/0.37
% 0.13/0.37 Contains.Choice.Funs: false
% 0.13/0.38 (rf:0,axioms:18,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:20,loop_count:0,foatp_calls:0,translation:fof_full)............
% 0.20/0.53
% 0.20/0.53 ********************************
% 0.20/0.53 * All subproblems solved! *
% 0.20/0.53 ********************************
% 0.20/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:18,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:216,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.34/0.54
% 0.34/0.54 %**** Beginning of derivation protocol ****
% 0.34/0.54 % SZS output start CNFRefutation
% See solution above
% 0.34/0.54
% 0.34/0.54 %**** End of derivation protocol ****
% 0.34/0.54 %**** no. of clauses in derivation: 217 ****
% 0.34/0.54 %**** clause counter: 216 ****
% 0.34/0.54
% 0.34/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:18,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:216,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------