%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : AGT034^2 : TPTP v9.3.1. Released v5.2.0.
% 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 : n001.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 10:07:11 AM UTC 2026
% Result : Theorem 0.08s 0.29s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 47
% Syntax : Number of formulae : 212 ( 126 unt; 0 typ; 31 def)
% Number of atoms : 1366 ( 355 equ; 0 cnn)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 2854 ( 372 ~; 366 |; 18 &;2090 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 57 ( 57 >; 0 *; 0 +; 0 <<)
% Number of symbols : 51 ( 48 usr; 8 con; 0-4 aty)
% Number of variables : 564 ( 59 ^; 499 !; 6 ?; 564 :)
% 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_SY0,type,
sK1_SY0: $i ).
thf(tp_sK2_SY117,type,
sK2_SY117: $i > mu > mu > $i > $i ).
thf(tp_sK3_SY116,type,
sK3_SY116: $i > mu > mu > $i > $i ).
thf(tp_sK4_SY146,type,
sK4_SY146: $i > $i ).
thf(tp_sK5_SY161,type,
sK5_SY161: $i > $i ).
thf(tp_sK6_SY328,type,
sK6_SY328: 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(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 @ ( very_much_likes @ jan @ cola ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(20,negated_conjecture,
( ( mvalid @ ( very_much_likes @ jan @ cola ) )
= $false ),
inference(negate_conjecture,[status(cth)],[19]) ).
thf(21,plain,
( ( ! [SY0: $i] : ( very_much_likes @ jan @ cola @ SY0 ) )
= $false ),
inference(unfold_def,[status(thm)],[20,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(22,plain,
( ( ! [SY37: $i,SY38: mu,SY39: mu] :
( ~ ~ ! [SY40: $i] :
( ~ ( a3 @ SY37 @ SY40 )
| ~ ( very_much_likes @ SY38 @ SY39 @ SY40 ) )
| ( likes @ SY38 @ SY39 @ SY37 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4,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(23,plain,
( ( ! [SY122: $i,SY123: mu,SY124: mu,SY125: $i] :
( ~ ( a3 @ SY122 @ SY125 )
| ~ ~ ( ~ ( likes @ SY123 @ SY124 @ SY125 )
| ~ ~ ( ~ ! [SY116: $i] :
( ~ ( a1 @ SY125 @ SY116 )
| ( likes @ SY123 @ SY124 @ SY116 ) )
| ~ ! [SY117: $i] :
( ~ ( a2 @ SY125 @ SY117 )
| ( likes @ SY123 @ SY124 @ SY117 ) ) ) )
| ( very_much_likes @ SY123 @ SY124 @ SY125 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6,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(24,plain,
( ( ! [SY145: $i] :
~ ! [SY146: $i] :
( ~ ( a1 @ SY145 @ SY146 )
| ~ ( likes @ piotr @ beer @ SY146 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,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(25,plain,
( ( ! [SY160: $i] :
~ ! [SY161: $i] :
( ~ ( a3 @ SY160 @ SY161 )
| ~ ( likes @ piotr @ pepsi @ SY161 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,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(26,plain,
( ( ! [SY181: $i,SY182: mu,SY183: $i] :
( ~ ( a2 @ SY181 @ SY183 )
| ~ ( likes @ SY182 @ cola @ SY183 )
| ( likes @ SY182 @ pepsi @ SY183 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,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(27,plain,
( ( ! [SY204: $i,SY205: mu,SY206: $i] :
( ~ ( a2 @ SY204 @ SY206 )
| ~ ( likes @ SY205 @ pepsi @ SY206 )
| ( likes @ SY205 @ cola @ SY206 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11,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(28,plain,
( ( ! [SY245: $i,SY246: mu,SY247: $i] :
( ~ ( a1 @ SY245 @ SY247 )
| ~ ~ ! [SY242: $i] :
( ~ ( a1 @ SY247 @ SY242 )
| ~ ( likes @ SY246 @ cola @ SY242 ) )
| ( likes @ SY246 @ pepsi @ SY247 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15,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(29,plain,
( ( ! [SY288: $i,SY289: mu,SY290: $i] :
( ~ ( a1 @ SY288 @ SY290 )
| ~ ~ ! [SY285: $i] :
( ~ ( a1 @ SY290 @ SY285 )
| ~ ( likes @ SY289 @ pepsi @ SY285 ) )
| ( likes @ SY289 @ cola @ SY290 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16,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(30,plain,
( ( ! [SY325: $i,SY326: mu,SY327: mu] :
( ~ ! [SY328: $i] :
( ~ ( a3 @ SY325 @ SY328 )
| ( very_much_likes @ SY326 @ SY327 @ SY328 ) )
| ( very_much_likes @ SY326 @ SY327 @ SY325 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5,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(31,plain,
( ( ! [SY338: $i,SY339: $i] :
( ~ ( a1 @ SY338 @ SY339 )
| ( likes @ piotr @ beer @ SY339 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,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(32,plain,
( ( ! [SY347: $i,SY348: $i] :
( ~ ( a1 @ SY347 @ SY348 )
| ( likes @ piotr @ cola @ SY348 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,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(33,plain,
( ( ! [SY356: $i,SY357: $i] :
( ~ ( a2 @ SY356 @ SY357 )
| ( likes @ jan @ pepsi @ SY357 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14,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(34,plain,
( ( ! [SY365: $i,SY366: $i] :
( ~ ( a1 @ SY365 @ SY366 )
| ( likes @ piotr @ pepsi @ SY366 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17,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(35,plain,
( ( ! [SY374: $i,SY375: $i] :
( ~ ( a3 @ SY374 @ SY375 )
| ( likes @ jan @ cola @ SY375 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,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(36,plain,
( ( ! [SY383: $i,SY384: $i] :
( ~ ( a1 @ SY383 @ SY384 )
| ( likes @ jan @ cola @ SY384 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18,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(37,plain,
( ( very_much_likes @ jan @ cola @ sK1_SY0 )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[21]) ).
thf(38,plain,
( ( ~ ( very_much_likes @ jan @ cola @ sK1_SY0 ) )
= $true ),
inference(polarity_switch,[status(thm)],[37]) ).
thf(39,plain,
( ( ! [SY37: $i,SY38: mu,SY39: mu] :
( ! [SY40: $i] :
( ~ ( a3 @ SY37 @ SY40 )
| ~ ( very_much_likes @ SY38 @ SY39 @ SY40 ) )
| ( likes @ SY38 @ SY39 @ SY37 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(40,plain,
( ( ! [SY122: $i,SY123: mu,SY124: mu,SY125: $i] :
( ~ ( a3 @ SY122 @ SY125 )
| ~ ( likes @ SY123 @ SY124 @ SY125 )
| ( ( a1 @ SY125 @ ( sK3_SY116 @ SY125 @ SY124 @ SY123 @ SY122 ) )
& ~ ( likes @ SY123 @ SY124 @ ( sK3_SY116 @ SY125 @ SY124 @ SY123 @ SY122 ) ) )
| ( ( a2 @ SY125 @ ( sK2_SY117 @ SY125 @ SY124 @ SY123 @ SY122 ) )
& ~ ( likes @ SY123 @ SY124 @ ( sK2_SY117 @ SY125 @ SY124 @ SY123 @ SY122 ) ) )
| ( very_much_likes @ SY123 @ SY124 @ SY125 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(41,plain,
( ( ! [SY145: $i] :
( ( a1 @ SY145 @ ( sK4_SY146 @ SY145 ) )
& ( likes @ piotr @ beer @ ( sK4_SY146 @ SY145 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(42,plain,
( ( ! [SY160: $i] :
( ( a3 @ SY160 @ ( sK5_SY161 @ SY160 ) )
& ( likes @ piotr @ pepsi @ ( sK5_SY161 @ SY160 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(43,plain,
( ( ! [SY245: $i,SY246: mu,SY247: $i] :
( ~ ( a1 @ SY245 @ SY247 )
| ! [SY242: $i] :
( ~ ( a1 @ SY247 @ SY242 )
| ~ ( likes @ SY246 @ cola @ SY242 ) )
| ( likes @ SY246 @ pepsi @ SY247 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(44,plain,
( ( ! [SY288: $i,SY289: mu,SY290: $i] :
( ~ ( a1 @ SY288 @ SY290 )
| ! [SY285: $i] :
( ~ ( a1 @ SY290 @ SY285 )
| ~ ( likes @ SY289 @ pepsi @ SY285 ) )
| ( likes @ SY289 @ cola @ SY290 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(45,plain,
( ( ! [SY325: $i,SY326: mu,SY327: mu] :
( ( ( a3 @ SY325 @ ( sK6_SY328 @ SY327 @ SY326 @ SY325 ) )
& ~ ( very_much_likes @ SY326 @ SY327 @ ( sK6_SY328 @ SY327 @ SY326 @ SY325 ) ) )
| ( very_much_likes @ SY326 @ SY327 @ SY325 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(46,plain,
( ( ! [SY383: $i,SY384: $i] :
( ~ ( a1 @ SY383 @ SY384 )
| ( likes @ jan @ cola @ SY384 ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(47,plain,
( ( ! [SY374: $i,SY375: $i] :
( ~ ( a3 @ SY374 @ SY375 )
| ( likes @ jan @ cola @ SY375 ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(48,plain,
( ( ! [SY365: $i,SY366: $i] :
( ~ ( a1 @ SY365 @ SY366 )
| ( likes @ piotr @ pepsi @ SY366 ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(49,plain,
( ( ! [SY356: $i,SY357: $i] :
( ~ ( a2 @ SY356 @ SY357 )
| ( likes @ jan @ pepsi @ SY357 ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(50,plain,
( ( ! [SY347: $i,SY348: $i] :
( ~ ( a1 @ SY347 @ SY348 )
| ( likes @ piotr @ cola @ SY348 ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(51,plain,
( ( ! [SY338: $i,SY339: $i] :
( ~ ( a1 @ SY338 @ SY339 )
| ( likes @ piotr @ beer @ SY339 ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(52,plain,
( ( ! [SY325: $i,SY326: mu,SY327: mu] :
( ( ( a3 @ SY325 @ ( sK6_SY328 @ SY327 @ SY326 @ SY325 ) )
& ~ ( very_much_likes @ SY326 @ SY327 @ ( sK6_SY328 @ SY327 @ SY326 @ SY325 ) ) )
| ( very_much_likes @ SY326 @ SY327 @ SY325 ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(53,plain,
( ( ! [SY288: $i,SY289: mu,SY290: $i] :
( ~ ( a1 @ SY288 @ SY290 )
| ! [SY285: $i] :
( ~ ( a1 @ SY290 @ SY285 )
| ~ ( likes @ SY289 @ pepsi @ SY285 ) )
| ( likes @ SY289 @ cola @ SY290 ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(54,plain,
( ( ! [SY245: $i,SY246: mu,SY247: $i] :
( ~ ( a1 @ SY245 @ SY247 )
| ! [SY242: $i] :
( ~ ( a1 @ SY247 @ SY242 )
| ~ ( likes @ SY246 @ cola @ SY242 ) )
| ( likes @ SY246 @ pepsi @ SY247 ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(55,plain,
( ( ! [SY204: $i,SY205: mu,SY206: $i] :
( ~ ( a2 @ SY204 @ SY206 )
| ~ ( likes @ SY205 @ pepsi @ SY206 )
| ( likes @ SY205 @ cola @ SY206 ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(56,plain,
( ( ! [SY181: $i,SY182: mu,SY183: $i] :
( ~ ( a2 @ SY181 @ SY183 )
| ~ ( likes @ SY182 @ cola @ SY183 )
| ( likes @ SY182 @ pepsi @ SY183 ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(57,plain,
( ( ! [SY160: $i] :
( ( a3 @ SY160 @ ( sK5_SY161 @ SY160 ) )
& ( likes @ piotr @ pepsi @ ( sK5_SY161 @ SY160 ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(58,plain,
( ( ! [SY145: $i] :
( ( a1 @ SY145 @ ( sK4_SY146 @ SY145 ) )
& ( likes @ piotr @ beer @ ( sK4_SY146 @ SY145 ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(59,plain,
( ( ! [SY122: $i,SY123: mu,SY124: mu,SY125: $i] :
( ~ ( a3 @ SY122 @ SY125 )
| ~ ( likes @ SY123 @ SY124 @ SY125 )
| ( ( a1 @ SY125 @ ( sK3_SY116 @ SY125 @ SY124 @ SY123 @ SY122 ) )
& ~ ( likes @ SY123 @ SY124 @ ( sK3_SY116 @ SY125 @ SY124 @ SY123 @ SY122 ) ) )
| ( ( a2 @ SY125 @ ( sK2_SY117 @ SY125 @ SY124 @ SY123 @ SY122 ) )
& ~ ( likes @ SY123 @ SY124 @ ( sK2_SY117 @ SY125 @ SY124 @ SY123 @ SY122 ) ) )
| ( very_much_likes @ SY123 @ SY124 @ SY125 ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(60,plain,
( ( ! [SY37: $i,SY38: mu,SY39: mu] :
( ! [SY40: $i] :
( ~ ( a3 @ SY37 @ SY40 )
| ~ ( very_much_likes @ SY38 @ SY39 @ SY40 ) )
| ( likes @ SY38 @ SY39 @ SY37 ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(61,plain,
( ( ~ ( very_much_likes @ jan @ cola @ sK1_SY0 ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(62,plain,
( ( ! [SX0: $i] :
~ ( ~ ( a3 @ SX0 @ ( sK5_SY161 @ SX0 ) )
| ~ ( likes @ piotr @ pepsi @ ( sK5_SY161 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57,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(63,plain,
( ( ! [SX0: $i] :
~ ( ~ ( a1 @ SX0 @ ( sK4_SY146 @ SX0 ) )
| ~ ( likes @ piotr @ beer @ ( sK4_SY146 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58,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(64,plain,
( ( ! [SX0: $i,SX1: mu,SX2: mu,SX3: $i] :
( ~ ( a3 @ SX0 @ SX3 )
| ~ ( likes @ SX1 @ SX2 @ SX3 )
| ~ ( ~ ( a1 @ SX3 @ ( sK3_SY116 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( likes @ SX1 @ SX2 @ ( sK3_SY116 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( ~ ( a2 @ SX3 @ ( sK2_SY117 @ SX3 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( likes @ SX1 @ SX2 @ ( sK2_SY117 @ SX3 @ SX2 @ SX1 @ SX0 ) ) )
| ( very_much_likes @ SX1 @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59,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(65,plain,
( ( ! [SX0: $i,SX1: mu,SX2: mu] :
( ~ ( ~ ( a3 @ SX0 @ ( sK6_SY328 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( very_much_likes @ SX1 @ SX2 @ ( sK6_SY328 @ SX2 @ SX1 @ SX0 ) ) )
| ( very_much_likes @ SX1 @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52,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(66,plain,
! [SV1: $i] :
( ( ! [SY387: $i] :
( ~ ( a1 @ SV1 @ SY387 )
| ( likes @ jan @ cola @ SY387 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(67,plain,
! [SV2: $i] :
( ( ! [SY388: $i] :
( ~ ( a3 @ SV2 @ SY388 )
| ( likes @ jan @ cola @ SY388 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(68,plain,
! [SV3: $i] :
( ( ! [SY389: $i] :
( ~ ( a1 @ SV3 @ SY389 )
| ( likes @ piotr @ pepsi @ SY389 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(69,plain,
! [SV4: $i] :
( ( ! [SY390: $i] :
( ~ ( a2 @ SV4 @ SY390 )
| ( likes @ jan @ pepsi @ SY390 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(70,plain,
! [SV5: $i] :
( ( ! [SY391: $i] :
( ~ ( a1 @ SV5 @ SY391 )
| ( likes @ piotr @ cola @ SY391 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(71,plain,
! [SV6: $i] :
( ( ! [SY392: $i] :
( ~ ( a1 @ SV6 @ SY392 )
| ( likes @ piotr @ beer @ SY392 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(72,plain,
! [SV7: $i] :
( ( ! [SY393: mu,SY394: $i] :
( ~ ( a1 @ SV7 @ SY394 )
| ! [SY285: $i] :
( ~ ( a1 @ SY394 @ SY285 )
| ~ ( likes @ SY393 @ pepsi @ SY285 ) )
| ( likes @ SY393 @ cola @ SY394 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(73,plain,
! [SV8: $i] :
( ( ! [SY396: mu,SY397: $i] :
( ~ ( a1 @ SV8 @ SY397 )
| ! [SY242: $i] :
( ~ ( a1 @ SY397 @ SY242 )
| ~ ( likes @ SY396 @ cola @ SY242 ) )
| ( likes @ SY396 @ pepsi @ SY397 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(74,plain,
! [SV9: $i] :
( ( ! [SY399: mu,SY400: $i] :
( ~ ( a2 @ SV9 @ SY400 )
| ~ ( likes @ SY399 @ pepsi @ SY400 )
| ( likes @ SY399 @ cola @ SY400 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(75,plain,
! [SV10: $i] :
( ( ! [SY401: mu,SY402: $i] :
( ~ ( a2 @ SV10 @ SY402 )
| ~ ( likes @ SY401 @ cola @ SY402 )
| ( likes @ SY401 @ pepsi @ SY402 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(76,plain,
! [SV11: $i] :
( ( ! [SY403: mu,SY404: mu] :
( ! [SY405: $i] :
( ~ ( a3 @ SV11 @ SY405 )
| ~ ( very_much_likes @ SY403 @ SY404 @ SY405 ) )
| ( likes @ SY403 @ SY404 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(77,plain,
( ( very_much_likes @ jan @ cola @ sK1_SY0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(78,plain,
! [SV12: $i] :
( ( ~ ( ~ ( a3 @ SV12 @ ( sK5_SY161 @ SV12 ) )
| ~ ( likes @ piotr @ pepsi @ ( sK5_SY161 @ SV12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(79,plain,
! [SV13: $i] :
( ( ~ ( ~ ( a1 @ SV13 @ ( sK4_SY146 @ SV13 ) )
| ~ ( likes @ piotr @ beer @ ( sK4_SY146 @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(80,plain,
! [SV14: $i] :
( ( ! [SY406: mu,SY407: mu,SY408: $i] :
( ~ ( a3 @ SV14 @ SY408 )
| ~ ( likes @ SY406 @ SY407 @ SY408 )
| ~ ( ~ ( a1 @ SY408 @ ( sK3_SY116 @ SY408 @ SY407 @ SY406 @ SV14 ) )
| ~ ~ ( likes @ SY406 @ SY407 @ ( sK3_SY116 @ SY408 @ SY407 @ SY406 @ SV14 ) ) )
| ~ ( ~ ( a2 @ SY408 @ ( sK2_SY117 @ SY408 @ SY407 @ SY406 @ SV14 ) )
| ~ ~ ( likes @ SY406 @ SY407 @ ( sK2_SY117 @ SY408 @ SY407 @ SY406 @ SV14 ) ) )
| ( very_much_likes @ SY406 @ SY407 @ SY408 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(81,plain,
! [SV15: $i] :
( ( ! [SY409: mu,SY410: mu] :
( ~ ( ~ ( a3 @ SV15 @ ( sK6_SY328 @ SY410 @ SY409 @ SV15 ) )
| ~ ~ ( very_much_likes @ SY409 @ SY410 @ ( sK6_SY328 @ SY410 @ SY409 @ SV15 ) ) )
| ( very_much_likes @ SY409 @ SY410 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(82,plain,
! [SV16: $i,SV1: $i] :
( ( ~ ( a1 @ SV1 @ SV16 )
| ( likes @ jan @ cola @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(83,plain,
! [SV17: $i,SV2: $i] :
( ( ~ ( a3 @ SV2 @ SV17 )
| ( likes @ jan @ cola @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(84,plain,
! [SV18: $i,SV3: $i] :
( ( ~ ( a1 @ SV3 @ SV18 )
| ( likes @ piotr @ pepsi @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(85,plain,
! [SV19: $i,SV4: $i] :
( ( ~ ( a2 @ SV4 @ SV19 )
| ( likes @ jan @ pepsi @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(86,plain,
! [SV20: $i,SV5: $i] :
( ( ~ ( a1 @ SV5 @ SV20 )
| ( likes @ piotr @ cola @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(87,plain,
! [SV21: $i,SV6: $i] :
( ( ~ ( a1 @ SV6 @ SV21 )
| ( likes @ piotr @ beer @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(88,plain,
! [SV22: mu,SV7: $i] :
( ( ! [SY411: $i] :
( ~ ( a1 @ SV7 @ SY411 )
| ! [SY412: $i] :
( ~ ( a1 @ SY411 @ SY412 )
| ~ ( likes @ SV22 @ pepsi @ SY412 ) )
| ( likes @ SV22 @ cola @ SY411 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(89,plain,
! [SV23: mu,SV8: $i] :
( ( ! [SY413: $i] :
( ~ ( a1 @ SV8 @ SY413 )
| ! [SY414: $i] :
( ~ ( a1 @ SY413 @ SY414 )
| ~ ( likes @ SV23 @ cola @ SY414 ) )
| ( likes @ SV23 @ pepsi @ SY413 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(90,plain,
! [SV24: mu,SV9: $i] :
( ( ! [SY415: $i] :
( ~ ( a2 @ SV9 @ SY415 )
| ~ ( likes @ SV24 @ pepsi @ SY415 )
| ( likes @ SV24 @ cola @ SY415 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(91,plain,
! [SV25: mu,SV10: $i] :
( ( ! [SY416: $i] :
( ~ ( a2 @ SV10 @ SY416 )
| ~ ( likes @ SV25 @ cola @ SY416 )
| ( likes @ SV25 @ pepsi @ SY416 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(92,plain,
! [SV26: mu,SV11: $i] :
( ( ! [SY417: mu] :
( ! [SY418: $i] :
( ~ ( a3 @ SV11 @ SY418 )
| ~ ( very_much_likes @ SV26 @ SY417 @ SY418 ) )
| ( likes @ SV26 @ SY417 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(93,plain,
! [SV12: $i] :
( ( ~ ( a3 @ SV12 @ ( sK5_SY161 @ SV12 ) )
| ~ ( likes @ piotr @ pepsi @ ( sK5_SY161 @ SV12 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(94,plain,
! [SV13: $i] :
( ( ~ ( a1 @ SV13 @ ( sK4_SY146 @ SV13 ) )
| ~ ( likes @ piotr @ beer @ ( sK4_SY146 @ SV13 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(95,plain,
! [SV27: mu,SV14: $i] :
( ( ! [SY419: mu,SY420: $i] :
( ~ ( a3 @ SV14 @ SY420 )
| ~ ( likes @ SV27 @ SY419 @ SY420 )
| ~ ( ~ ( a1 @ SY420 @ ( sK3_SY116 @ SY420 @ SY419 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SY419 @ ( sK3_SY116 @ SY420 @ SY419 @ SV27 @ SV14 ) ) )
| ~ ( ~ ( a2 @ SY420 @ ( sK2_SY117 @ SY420 @ SY419 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SY419 @ ( sK2_SY117 @ SY420 @ SY419 @ SV27 @ SV14 ) ) )
| ( very_much_likes @ SV27 @ SY419 @ SY420 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(96,plain,
! [SV28: mu,SV15: $i] :
( ( ! [SY421: mu] :
( ~ ( ~ ( a3 @ SV15 @ ( sK6_SY328 @ SY421 @ SV28 @ SV15 ) )
| ~ ~ ( very_much_likes @ SV28 @ SY421 @ ( sK6_SY328 @ SY421 @ SV28 @ SV15 ) ) )
| ( very_much_likes @ SV28 @ SY421 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(97,plain,
! [SV16: $i,SV1: $i] :
( ( ( ~ ( a1 @ SV1 @ SV16 ) )
= $true )
| ( ( likes @ jan @ cola @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(98,plain,
! [SV17: $i,SV2: $i] :
( ( ( ~ ( a3 @ SV2 @ SV17 ) )
= $true )
| ( ( likes @ jan @ cola @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(99,plain,
! [SV18: $i,SV3: $i] :
( ( ( ~ ( a1 @ SV3 @ SV18 ) )
= $true )
| ( ( likes @ piotr @ pepsi @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(100,plain,
! [SV19: $i,SV4: $i] :
( ( ( ~ ( a2 @ SV4 @ SV19 ) )
= $true )
| ( ( likes @ jan @ pepsi @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(101,plain,
! [SV20: $i,SV5: $i] :
( ( ( ~ ( a1 @ SV5 @ SV20 ) )
= $true )
| ( ( likes @ piotr @ cola @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(102,plain,
! [SV21: $i,SV6: $i] :
( ( ( ~ ( a1 @ SV6 @ SV21 ) )
= $true )
| ( ( likes @ piotr @ beer @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(103,plain,
! [SV22: mu,SV29: $i,SV7: $i] :
( ( ~ ( a1 @ SV7 @ SV29 )
| ! [SY422: $i] :
( ~ ( a1 @ SV29 @ SY422 )
| ~ ( likes @ SV22 @ pepsi @ SY422 ) )
| ( likes @ SV22 @ cola @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(104,plain,
! [SV23: mu,SV30: $i,SV8: $i] :
( ( ~ ( a1 @ SV8 @ SV30 )
| ! [SY423: $i] :
( ~ ( a1 @ SV30 @ SY423 )
| ~ ( likes @ SV23 @ cola @ SY423 ) )
| ( likes @ SV23 @ pepsi @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(105,plain,
! [SV24: mu,SV31: $i,SV9: $i] :
( ( ~ ( a2 @ SV9 @ SV31 )
| ~ ( likes @ SV24 @ pepsi @ SV31 )
| ( likes @ SV24 @ cola @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(106,plain,
! [SV25: mu,SV32: $i,SV10: $i] :
( ( ~ ( a2 @ SV10 @ SV32 )
| ~ ( likes @ SV25 @ cola @ SV32 )
| ( likes @ SV25 @ pepsi @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(107,plain,
! [SV33: mu,SV26: mu,SV11: $i] :
( ( ! [SY424: $i] :
( ~ ( a3 @ SV11 @ SY424 )
| ~ ( very_much_likes @ SV26 @ SV33 @ SY424 ) )
| ( likes @ SV26 @ SV33 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(108,plain,
! [SV12: $i] :
( ( ~ ( a3 @ SV12 @ ( sK5_SY161 @ SV12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(109,plain,
! [SV12: $i] :
( ( ~ ( likes @ piotr @ pepsi @ ( sK5_SY161 @ SV12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(110,plain,
! [SV13: $i] :
( ( ~ ( a1 @ SV13 @ ( sK4_SY146 @ SV13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(111,plain,
! [SV13: $i] :
( ( ~ ( likes @ piotr @ beer @ ( sK4_SY146 @ SV13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(112,plain,
! [SV34: mu,SV27: mu,SV14: $i] :
( ( ! [SY425: $i] :
( ~ ( a3 @ SV14 @ SY425 )
| ~ ( likes @ SV27 @ SV34 @ SY425 )
| ~ ( ~ ( a1 @ SY425 @ ( sK3_SY116 @ SY425 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK3_SY116 @ SY425 @ SV34 @ SV27 @ SV14 ) ) )
| ~ ( ~ ( a2 @ SY425 @ ( sK2_SY117 @ SY425 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SY425 @ SV34 @ SV27 @ SV14 ) ) )
| ( very_much_likes @ SV27 @ SV34 @ SY425 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(113,plain,
! [SV28: mu,SV35: mu,SV15: $i] :
( ( ~ ( ~ ( a3 @ SV15 @ ( sK6_SY328 @ SV35 @ SV28 @ SV15 ) )
| ~ ~ ( very_much_likes @ SV28 @ SV35 @ ( sK6_SY328 @ SV35 @ SV28 @ SV15 ) ) )
| ( very_much_likes @ SV28 @ SV35 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(114,plain,
! [SV16: $i,SV1: $i] :
( ( ( a1 @ SV1 @ SV16 )
= $false )
| ( ( likes @ jan @ cola @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(115,plain,
! [SV17: $i,SV2: $i] :
( ( ( a3 @ SV2 @ SV17 )
= $false )
| ( ( likes @ jan @ cola @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(116,plain,
! [SV18: $i,SV3: $i] :
( ( ( a1 @ SV3 @ SV18 )
= $false )
| ( ( likes @ piotr @ pepsi @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(117,plain,
! [SV19: $i,SV4: $i] :
( ( ( a2 @ SV4 @ SV19 )
= $false )
| ( ( likes @ jan @ pepsi @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(118,plain,
! [SV20: $i,SV5: $i] :
( ( ( a1 @ SV5 @ SV20 )
= $false )
| ( ( likes @ piotr @ cola @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(119,plain,
! [SV21: $i,SV6: $i] :
( ( ( a1 @ SV6 @ SV21 )
= $false )
| ( ( likes @ piotr @ beer @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(120,plain,
! [SV22: mu,SV29: $i,SV7: $i] :
( ( ( ~ ( a1 @ SV7 @ SV29 ) )
= $true )
| ( ( ! [SY422: $i] :
( ~ ( a1 @ SV29 @ SY422 )
| ~ ( likes @ SV22 @ pepsi @ SY422 ) )
| ( likes @ SV22 @ cola @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(121,plain,
! [SV23: mu,SV30: $i,SV8: $i] :
( ( ( ~ ( a1 @ SV8 @ SV30 ) )
= $true )
| ( ( ! [SY423: $i] :
( ~ ( a1 @ SV30 @ SY423 )
| ~ ( likes @ SV23 @ cola @ SY423 ) )
| ( likes @ SV23 @ pepsi @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(122,plain,
! [SV24: mu,SV31: $i,SV9: $i] :
( ( ( ~ ( a2 @ SV9 @ SV31 ) )
= $true )
| ( ( ~ ( likes @ SV24 @ pepsi @ SV31 )
| ( likes @ SV24 @ cola @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(123,plain,
! [SV25: mu,SV32: $i,SV10: $i] :
( ( ( ~ ( a2 @ SV10 @ SV32 ) )
= $true )
| ( ( ~ ( likes @ SV25 @ cola @ SV32 )
| ( likes @ SV25 @ pepsi @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(124,plain,
! [SV33: mu,SV26: mu,SV11: $i] :
( ( ( ! [SY424: $i] :
( ~ ( a3 @ SV11 @ SY424 )
| ~ ( very_much_likes @ SV26 @ SV33 @ SY424 ) ) )
= $true )
| ( ( likes @ SV26 @ SV33 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(125,plain,
! [SV12: $i] :
( ( a3 @ SV12 @ ( sK5_SY161 @ SV12 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(126,plain,
! [SV12: $i] :
( ( likes @ piotr @ pepsi @ ( sK5_SY161 @ SV12 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(127,plain,
! [SV13: $i] :
( ( a1 @ SV13 @ ( sK4_SY146 @ SV13 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(128,plain,
! [SV13: $i] :
( ( likes @ piotr @ beer @ ( sK4_SY146 @ SV13 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(129,plain,
! [SV34: mu,SV27: mu,SV36: $i,SV14: $i] :
( ( ~ ( a3 @ SV14 @ SV36 )
| ~ ( likes @ SV27 @ SV34 @ SV36 )
| ~ ( ~ ( a1 @ SV36 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
| ~ ( ~ ( a2 @ SV36 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
| ( very_much_likes @ SV27 @ SV34 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(130,plain,
! [SV28: mu,SV35: mu,SV15: $i] :
( ( ( ~ ( ~ ( a3 @ SV15 @ ( sK6_SY328 @ SV35 @ SV28 @ SV15 ) )
| ~ ~ ( very_much_likes @ SV28 @ SV35 @ ( sK6_SY328 @ SV35 @ SV28 @ SV15 ) ) ) )
= $true )
| ( ( very_much_likes @ SV28 @ SV35 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(131,plain,
! [SV22: mu,SV29: $i,SV7: $i] :
( ( ( a1 @ SV7 @ SV29 )
= $false )
| ( ( ! [SY422: $i] :
( ~ ( a1 @ SV29 @ SY422 )
| ~ ( likes @ SV22 @ pepsi @ SY422 ) )
| ( likes @ SV22 @ cola @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(132,plain,
! [SV23: mu,SV30: $i,SV8: $i] :
( ( ( a1 @ SV8 @ SV30 )
= $false )
| ( ( ! [SY423: $i] :
( ~ ( a1 @ SV30 @ SY423 )
| ~ ( likes @ SV23 @ cola @ SY423 ) )
| ( likes @ SV23 @ pepsi @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(133,plain,
! [SV24: mu,SV31: $i,SV9: $i] :
( ( ( a2 @ SV9 @ SV31 )
= $false )
| ( ( ~ ( likes @ SV24 @ pepsi @ SV31 )
| ( likes @ SV24 @ cola @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(134,plain,
! [SV25: mu,SV32: $i,SV10: $i] :
( ( ( a2 @ SV10 @ SV32 )
= $false )
| ( ( ~ ( likes @ SV25 @ cola @ SV32 )
| ( likes @ SV25 @ pepsi @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(135,plain,
! [SV33: mu,SV26: mu,SV37: $i,SV11: $i] :
( ( ( ~ ( a3 @ SV11 @ SV37 )
| ~ ( very_much_likes @ SV26 @ SV33 @ SV37 ) )
= $true )
| ( ( likes @ SV26 @ SV33 @ SV11 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(136,plain,
! [SV34: mu,SV27: mu,SV36: $i,SV14: $i] :
( ( ( ~ ( a3 @ SV14 @ SV36 ) )
= $true )
| ( ( ~ ( likes @ SV27 @ SV34 @ SV36 )
| ~ ( ~ ( a1 @ SV36 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
| ~ ( ~ ( a2 @ SV36 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
| ( very_much_likes @ SV27 @ SV34 @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(137,plain,
! [SV28: mu,SV35: mu,SV15: $i] :
( ( ( ~ ( a3 @ SV15 @ ( sK6_SY328 @ SV35 @ SV28 @ SV15 ) )
| ~ ~ ( very_much_likes @ SV28 @ SV35 @ ( sK6_SY328 @ SV35 @ SV28 @ SV15 ) ) )
= $false )
| ( ( very_much_likes @ SV28 @ SV35 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(138,plain,
! [SV7: $i,SV22: mu,SV29: $i] :
( ( ( ! [SY422: $i] :
( ~ ( a1 @ SV29 @ SY422 )
| ~ ( likes @ SV22 @ pepsi @ SY422 ) ) )
= $true )
| ( ( likes @ SV22 @ cola @ SV29 )
= $true )
| ( ( a1 @ SV7 @ SV29 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(139,plain,
! [SV8: $i,SV23: mu,SV30: $i] :
( ( ( ! [SY423: $i] :
( ~ ( a1 @ SV30 @ SY423 )
| ~ ( likes @ SV23 @ cola @ SY423 ) ) )
= $true )
| ( ( likes @ SV23 @ pepsi @ SV30 )
= $true )
| ( ( a1 @ SV8 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(140,plain,
! [SV9: $i,SV31: $i,SV24: mu] :
( ( ( ~ ( likes @ SV24 @ pepsi @ SV31 ) )
= $true )
| ( ( likes @ SV24 @ cola @ SV31 )
= $true )
| ( ( a2 @ SV9 @ SV31 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(141,plain,
! [SV10: $i,SV32: $i,SV25: mu] :
( ( ( ~ ( likes @ SV25 @ cola @ SV32 ) )
= $true )
| ( ( likes @ SV25 @ pepsi @ SV32 )
= $true )
| ( ( a2 @ SV10 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(142,plain,
! [SV33: mu,SV26: mu,SV37: $i,SV11: $i] :
( ( ( ~ ( a3 @ SV11 @ SV37 ) )
= $true )
| ( ( ~ ( very_much_likes @ SV26 @ SV33 @ SV37 ) )
= $true )
| ( ( likes @ SV26 @ SV33 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(143,plain,
! [SV34: mu,SV27: mu,SV36: $i,SV14: $i] :
( ( ( a3 @ SV14 @ SV36 )
= $false )
| ( ( ~ ( likes @ SV27 @ SV34 @ SV36 )
| ~ ( ~ ( a1 @ SV36 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
| ~ ( ~ ( a2 @ SV36 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
| ( very_much_likes @ SV27 @ SV34 @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(144,plain,
! [SV28: mu,SV35: mu,SV15: $i] :
( ( ( ~ ( a3 @ SV15 @ ( sK6_SY328 @ SV35 @ SV28 @ SV15 ) ) )
= $false )
| ( ( very_much_likes @ SV28 @ SV35 @ SV15 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[137]) ).
thf(145,plain,
! [SV15: $i,SV35: mu,SV28: mu] :
( ( ( ~ ~ ( very_much_likes @ SV28 @ SV35 @ ( sK6_SY328 @ SV35 @ SV28 @ SV15 ) ) )
= $false )
| ( ( very_much_likes @ SV28 @ SV35 @ SV15 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[137]) ).
thf(146,plain,
! [SV7: $i,SV22: mu,SV38: $i,SV29: $i] :
( ( ( ~ ( a1 @ SV29 @ SV38 )
| ~ ( likes @ SV22 @ pepsi @ SV38 ) )
= $true )
| ( ( likes @ SV22 @ cola @ SV29 )
= $true )
| ( ( a1 @ SV7 @ SV29 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(147,plain,
! [SV8: $i,SV23: mu,SV39: $i,SV30: $i] :
( ( ( ~ ( a1 @ SV30 @ SV39 )
| ~ ( likes @ SV23 @ cola @ SV39 ) )
= $true )
| ( ( likes @ SV23 @ pepsi @ SV30 )
= $true )
| ( ( a1 @ SV8 @ SV30 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(148,plain,
! [SV9: $i,SV31: $i,SV24: mu] :
( ( ( likes @ SV24 @ pepsi @ SV31 )
= $false )
| ( ( likes @ SV24 @ cola @ SV31 )
= $true )
| ( ( a2 @ SV9 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(149,plain,
! [SV10: $i,SV32: $i,SV25: mu] :
( ( ( likes @ SV25 @ cola @ SV32 )
= $false )
| ( ( likes @ SV25 @ pepsi @ SV32 )
= $true )
| ( ( a2 @ SV10 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(150,plain,
! [SV33: mu,SV26: mu,SV37: $i,SV11: $i] :
( ( ( a3 @ SV11 @ SV37 )
= $false )
| ( ( ~ ( very_much_likes @ SV26 @ SV33 @ SV37 ) )
= $true )
| ( ( likes @ SV26 @ SV33 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(151,plain,
! [SV14: $i,SV36: $i,SV34: mu,SV27: mu] :
( ( ( ~ ( likes @ SV27 @ SV34 @ SV36 )
| ~ ( ~ ( a1 @ SV36 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
| ~ ( ~ ( a2 @ SV36 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) ) )
= $true )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(152,plain,
! [SV28: mu,SV35: mu,SV15: $i] :
( ( ( a3 @ SV15 @ ( sK6_SY328 @ SV35 @ SV28 @ SV15 ) )
= $true )
| ( ( very_much_likes @ SV28 @ SV35 @ SV15 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(153,plain,
! [SV15: $i,SV35: mu,SV28: mu] :
( ( ( ~ ( very_much_likes @ SV28 @ SV35 @ ( sK6_SY328 @ SV35 @ SV28 @ SV15 ) ) )
= $true )
| ( ( very_much_likes @ SV28 @ SV35 @ SV15 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(154,plain,
! [SV7: $i,SV22: mu,SV38: $i,SV29: $i] :
( ( ( ~ ( a1 @ SV29 @ SV38 ) )
= $true )
| ( ( ~ ( likes @ SV22 @ pepsi @ SV38 ) )
= $true )
| ( ( likes @ SV22 @ cola @ SV29 )
= $true )
| ( ( a1 @ SV7 @ SV29 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(155,plain,
! [SV8: $i,SV23: mu,SV39: $i,SV30: $i] :
( ( ( ~ ( a1 @ SV30 @ SV39 ) )
= $true )
| ( ( ~ ( likes @ SV23 @ cola @ SV39 ) )
= $true )
| ( ( likes @ SV23 @ pepsi @ SV30 )
= $true )
| ( ( a1 @ SV8 @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(156,plain,
! [SV11: $i,SV37: $i,SV33: mu,SV26: mu] :
( ( ( very_much_likes @ SV26 @ SV33 @ SV37 )
= $false )
| ( ( a3 @ SV11 @ SV37 )
= $false )
| ( ( likes @ SV26 @ SV33 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(157,plain,
! [SV14: $i,SV36: $i,SV34: mu,SV27: mu] :
( ( ( ~ ( likes @ SV27 @ SV34 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ( a1 @ SV36 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
| ~ ( ~ ( a2 @ SV36 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) ) )
= $true )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(158,plain,
! [SV15: $i,SV35: mu,SV28: mu] :
( ( ( very_much_likes @ SV28 @ SV35 @ ( sK6_SY328 @ SV35 @ SV28 @ SV15 ) )
= $false )
| ( ( very_much_likes @ SV28 @ SV35 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(159,plain,
! [SV7: $i,SV22: mu,SV38: $i,SV29: $i] :
( ( ( a1 @ SV29 @ SV38 )
= $false )
| ( ( ~ ( likes @ SV22 @ pepsi @ SV38 ) )
= $true )
| ( ( likes @ SV22 @ cola @ SV29 )
= $true )
| ( ( a1 @ SV7 @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(160,plain,
! [SV8: $i,SV23: mu,SV39: $i,SV30: $i] :
( ( ( a1 @ SV30 @ SV39 )
= $false )
| ( ( ~ ( likes @ SV23 @ cola @ SV39 ) )
= $true )
| ( ( likes @ SV23 @ pepsi @ SV30 )
= $true )
| ( ( a1 @ SV8 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(161,plain,
! [SV14: $i,SV36: $i,SV34: mu,SV27: mu] :
( ( ( likes @ SV27 @ SV34 @ SV36 )
= $false )
| ( ( ~ ( ~ ( a1 @ SV36 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
| ~ ( ~ ( a2 @ SV36 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) ) )
= $true )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(162,plain,
! [SV7: $i,SV29: $i,SV38: $i,SV22: mu] :
( ( ( likes @ SV22 @ pepsi @ SV38 )
= $false )
| ( ( a1 @ SV29 @ SV38 )
= $false )
| ( ( likes @ SV22 @ cola @ SV29 )
= $true )
| ( ( a1 @ SV7 @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(163,plain,
! [SV8: $i,SV30: $i,SV39: $i,SV23: mu] :
( ( ( likes @ SV23 @ cola @ SV39 )
= $false )
| ( ( a1 @ SV30 @ SV39 )
= $false )
| ( ( likes @ SV23 @ pepsi @ SV30 )
= $true )
| ( ( a1 @ SV8 @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(164,plain,
! [SV14: $i,SV27: mu,SV34: mu,SV36: $i] :
( ( ( ~ ( ~ ( a1 @ SV36 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) ) ) )
= $true )
| ( ( ~ ( ~ ( a2 @ SV36 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) ) )
= $true )
| ( ( likes @ SV27 @ SV34 @ SV36 )
= $false )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(165,plain,
! [SV14: $i,SV27: mu,SV34: mu,SV36: $i] :
( ( ( ~ ( a1 @ SV36 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
= $false )
| ( ( ~ ( ~ ( a2 @ SV36 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) ) )
= $true )
| ( ( likes @ SV27 @ SV34 @ SV36 )
= $false )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(166,plain,
! [SV14: $i,SV27: mu,SV34: mu,SV36: $i] :
( ( ( ~ ( a1 @ SV36 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
= $false )
| ( ( ~ ( ~ ( a2 @ SV36 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) ) )
= $true )
| ( ( likes @ SV27 @ SV34 @ SV36 )
= $false )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(167,plain,
! [SV14: $i,SV36: $i,SV34: mu,SV27: mu] :
( ( ( ~ ~ ( likes @ SV27 @ SV34 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
= $false )
| ( ( ~ ( ~ ( a2 @ SV36 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) ) )
= $true )
| ( ( likes @ SV27 @ SV34 @ SV36 )
= $false )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(168,plain,
! [SV14: $i,SV27: mu,SV34: mu,SV36: $i] :
( ( ( a1 @ SV36 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
= $true )
| ( ( ~ ( ~ ( a2 @ SV36 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) ) )
= $true )
| ( ( likes @ SV27 @ SV34 @ SV36 )
= $false )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(169,plain,
! [SV14: $i,SV36: $i,SV34: mu,SV27: mu] :
( ( ( ~ ( likes @ SV27 @ SV34 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
= $true )
| ( ( ~ ( ~ ( a2 @ SV36 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) ) )
= $true )
| ( ( likes @ SV27 @ SV34 @ SV36 )
= $false )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(170,plain,
! [SV14: $i,SV27: mu,SV34: mu,SV36: $i] :
( ( ( ~ ( a2 @ SV36 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
= $false )
| ( ( a1 @ SV36 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
= $true )
| ( ( likes @ SV27 @ SV34 @ SV36 )
= $false )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(171,plain,
! [SV14: $i,SV36: $i,SV34: mu,SV27: mu] :
( ( ( likes @ SV27 @ SV34 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
= $false )
| ( ( ~ ( ~ ( a2 @ SV36 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) ) )
= $true )
| ( ( likes @ SV27 @ SV34 @ SV36 )
= $false )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(172,plain,
! [SV14: $i,SV27: mu,SV34: mu,SV36: $i] :
( ( ( ~ ( a2 @ SV36 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
= $false )
| ( ( a1 @ SV36 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
= $true )
| ( ( likes @ SV27 @ SV34 @ SV36 )
= $false )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(173,plain,
! [SV14: $i,SV36: $i,SV34: mu,SV27: mu] :
( ( ( ~ ~ ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
= $false )
| ( ( a1 @ SV36 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
= $true )
| ( ( likes @ SV27 @ SV34 @ SV36 )
= $false )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(174,plain,
! [SV14: $i,SV27: mu,SV34: mu,SV36: $i] :
( ( ( ~ ( a2 @ SV36 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) )
| ~ ~ ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
= $false )
| ( ( likes @ SV27 @ SV34 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
= $false )
| ( ( likes @ SV27 @ SV34 @ SV36 )
= $false )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(175,plain,
! [SV14: $i,SV27: mu,SV34: mu,SV36: $i] :
( ( ( a2 @ SV36 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) )
= $true )
| ( ( a1 @ SV36 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
= $true )
| ( ( likes @ SV27 @ SV34 @ SV36 )
= $false )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(176,plain,
! [SV14: $i,SV36: $i,SV34: mu,SV27: mu] :
( ( ( ~ ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
= $true )
| ( ( a1 @ SV36 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
= $true )
| ( ( likes @ SV27 @ SV34 @ SV36 )
= $false )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(177,plain,
! [SV14: $i,SV27: mu,SV34: mu,SV36: $i] :
( ( ( ~ ( a2 @ SV36 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
= $false )
| ( ( likes @ SV27 @ SV34 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
= $false )
| ( ( likes @ SV27 @ SV34 @ SV36 )
= $false )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(178,plain,
! [SV14: $i,SV36: $i,SV34: mu,SV27: mu] :
( ( ( ~ ~ ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
= $false )
| ( ( likes @ SV27 @ SV34 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
= $false )
| ( ( likes @ SV27 @ SV34 @ SV36 )
= $false )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(179,plain,
! [SV14: $i,SV36: $i,SV34: mu,SV27: mu] :
( ( ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) )
= $false )
| ( ( a1 @ SV36 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
= $true )
| ( ( likes @ SV27 @ SV34 @ SV36 )
= $false )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(180,plain,
! [SV14: $i,SV27: mu,SV34: mu,SV36: $i] :
( ( ( a2 @ SV36 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) )
= $true )
| ( ( likes @ SV27 @ SV34 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
= $false )
| ( ( likes @ SV27 @ SV34 @ SV36 )
= $false )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(181,plain,
! [SV14: $i,SV36: $i,SV34: mu,SV27: mu] :
( ( ( ~ ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) ) )
= $true )
| ( ( likes @ SV27 @ SV34 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
= $false )
| ( ( likes @ SV27 @ SV34 @ SV36 )
= $false )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(182,plain,
! [SV14: $i,SV36: $i,SV34: mu,SV27: mu] :
( ( ( likes @ SV27 @ SV34 @ ( sK2_SY117 @ SV36 @ SV34 @ SV27 @ SV14 ) )
= $false )
| ( ( likes @ SV27 @ SV34 @ ( sK3_SY116 @ SV36 @ SV34 @ SV27 @ SV14 ) )
= $false )
| ( ( likes @ SV27 @ SV34 @ SV36 )
= $false )
| ( ( very_much_likes @ SV27 @ SV34 @ SV36 )
= $true )
| ( ( a3 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(183,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[77,182,180,179,175,163,162,158,156,152,149,148,128,127,126,125,119,118,117,116,115,114]) ).
thf(184,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT034^2 : TPTP v9.3.1. Released v5.2.0.
% 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
% 0.08/0.16 % Computer : n001.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Oct 6 18:05:54 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.29
% 0.08/0.29 No.of.Axioms: 18
% 0.08/0.29
% 0.08/0.29 Length.of.Defs: 5324
% 0.08/0.29
% 0.08/0.29 Contains.Choice.Funs: false
% 0.08/0.29 ...........
% 0.08/0.29
% 0.08/0.29 ********************************
% 0.08/0.29 * All subproblems solved! *
% 0.08/0.29 ********************************
% 0.08/0.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:15,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:183,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.08/0.29
% 0.08/0.29 %**** Beginning of derivation protocol ****
% 0.08/0.29 % SZS output start CNFRefutation
% See solution above
% 1.42/0.29
% 1.42/0.29 %**** End of derivation protocol ****
% 1.42/0.29 %**** no. of clauses in derivation: 181 ****
% 1.42/0.29 %**** clause counter: 183 ****
% 1.42/0.29
% 1.42/0.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:15,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:183,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------