TSTP Solution File: SWV445^1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV445^1 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n027.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 : Wed Jul 20 20:12:47 EDT 2022
% Result : Theorem 1.08s 1.27s
% Output : CNFRefutation 1.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 101
% Syntax : Number of formulae : 305 ( 96 unt; 60 typ; 34 def)
% Number of atoms : 2676 ( 719 equ; 0 cnn)
% Maximal formula atoms : 10 ( 10 avg)
% Number of connectives : 4503 ( 607 ~;1029 |; 2 &;2864 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 307 ( 307 >; 0 *; 0 +; 0 <<)
% Number of symbols : 62 ( 59 usr; 11 con; 0-6 aty)
% Number of variables : 1047 ( 51 ^ 992 !; 4 ?;1047 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_individuals,type,
individuals: $tType ).
thf(tp_bl_all,type,
bl_all: ( individuals > $i > $o ) > $i > $o ).
thf(tp_bl_and,type,
bl_and: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_bl_atom,type,
bl_atom: ( $i > $o ) > $i > $o ).
thf(tp_bl_false,type,
bl_false: $i > $o ).
thf(tp_bl_impl,type,
bl_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_bl_or,type,
bl_or: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_bl_princ,type,
bl_princ: ( $i > $o ) > $i > $o ).
thf(tp_bl_says,type,
bl_says: individuals > ( $i > $o ) > $i > $o ).
thf(tp_bl_true,type,
bl_true: $i > $o ).
thf(tp_bl_valid,type,
bl_valid: ( $i > $o ) > $o ).
thf(tp_cs4_all,type,
cs4_all: ( individuals > $i > $o ) > $i > $o ).
thf(tp_cs4_and,type,
cs4_and: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_cs4_atom,type,
cs4_atom: ( $i > $o ) > $i > $o ).
thf(tp_cs4_box,type,
cs4_box: ( $i > $o ) > $i > $o ).
thf(tp_cs4_false,type,
cs4_false: $i > $o ).
thf(tp_cs4_impl,type,
cs4_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_cs4_or,type,
cs4_or: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_cs4_true,type,
cs4_true: $i > $o ).
thf(tp_cs4_valid,type,
cs4_valid: ( $i > $o ) > $o ).
thf(tp_current_world,type,
current_world: $i ).
thf(tp_loca,type,
loca: individuals ).
thf(tp_mall,type,
mall: ( individuals > $i > $o ) > $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_mexists,type,
mexists: ( individuals > $i > $o ) > $i > $o ).
thf(tp_mfalse,type,
mfalse: $i > $o ).
thf(tp_miff,type,
miff: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mimpl,type,
mimpl: ( $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_msatisfiable,type,
msatisfiable: ( $i > $o ) > $o ).
thf(tp_mtrue,type,
mtrue: $i > $o ).
thf(tp_mvalid,type,
mvalid: ( $i > $o ) > $o ).
thf(tp_princ_inj,type,
princ_inj: individuals > $i > $o ).
thf(tp_prop_a,type,
prop_a: $i > $o ).
thf(tp_prop_b,type,
prop_b: $i > $o ).
thf(tp_prop_c,type,
prop_c: $i > $o ).
thf(tp_reli,type,
reli: $i > $i > $o ).
thf(tp_relr,type,
relr: $i > $i > $o ).
thf(tp_sK10_SY59,type,
sK10_SY59: $i ).
thf(tp_sK11_SY64,type,
sK11_SY64: $i > ( $i > $o ) > $i ).
thf(tp_sK12_SY66,type,
sK12_SY66: $i ).
thf(tp_sK13_SY83,type,
sK13_SY83: $i ).
thf(tp_sK14_SY96,type,
sK14_SY96: $i ).
thf(tp_sK15_SY97,type,
sK15_SY97: $i > $i > $i > $i ).
thf(tp_sK16_SY117,type,
sK16_SY117: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK17_SY119,type,
sK17_SY119: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK1_K,type,
sK1_K: individuals ).
thf(tp_sK2_SY0,type,
sK2_SY0: $i > $o ).
thf(tp_sK3_SX0,type,
sK3_SX0: $i ).
thf(tp_sK4_SY35,type,
sK4_SY35: $i ).
thf(tp_sK5_SY21,type,
sK5_SY21: ( $i > $o ) > $i > $i ).
thf(tp_sK6_SY22,type,
sK6_SY22: ( $i > $o ) > $i > $i ).
thf(tp_sK7_SY23,type,
sK7_SY23: ( $i > $o ) > $i > $i ).
thf(tp_sK8_SY26,type,
sK8_SY26: ( $i > $o ) > $i > $i ).
thf(tp_sK9_SY29,type,
sK9_SY29: ( $i > $o ) > $i > $i ).
thf(bl_all,definition,
( bl_all
= ( ^ [A: individuals > $i > $o] : ( cs4_all @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_all) ).
thf(bl_and,definition,
( bl_and
= ( ^ [A: $i > $o,B: $i > $o] : ( cs4_and @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_and) ).
thf(bl_atom,definition,
( bl_atom
= ( ^ [P: $i > $o] : ( cs4_atom @ P ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_atom) ).
thf(bl_false,definition,
bl_false = cs4_false,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_false) ).
thf(bl_impl,definition,
( bl_impl
= ( ^ [A: $i > $o,B: $i > $o] : ( cs4_impl @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_impl) ).
thf(bl_or,definition,
( bl_or
= ( ^ [A: $i > $o,B: $i > $o] : ( cs4_or @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_or) ).
thf(bl_princ,definition,
( bl_princ
= ( ^ [P: $i > $o] : ( cs4_atom @ P ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_princ) ).
thf(bl_says,definition,
( bl_says
= ( ^ [K: individuals,A: $i > $o] : ( cs4_box @ ( cs4_impl @ ( bl_princ @ ( princ_inj @ K ) ) @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_says) ).
thf(bl_true,definition,
bl_true = cs4_true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_true) ).
thf(bl_valid,definition,
bl_valid = mvalid,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_valid) ).
thf(cs4_all,definition,
( cs4_all
= ( ^ [A: individuals > $i > $o] : ( mbox @ reli @ ( mall @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_all) ).
thf(cs4_and,definition,
( cs4_and
= ( ^ [A: $i > $o,B: $i > $o] : ( mand @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_and) ).
thf(cs4_atom,definition,
( cs4_atom
= ( ^ [P: $i > $o] : ( mbox @ reli @ P ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_atom) ).
thf(cs4_box,definition,
( cs4_box
= ( ^ [A: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_box) ).
thf(cs4_false,definition,
cs4_false = mfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_false) ).
thf(cs4_impl,definition,
( cs4_impl
= ( ^ [A: $i > $o,B: $i > $o] : ( mbox @ reli @ ( mimpl @ A @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_impl) ).
thf(cs4_or,definition,
( cs4_or
= ( ^ [A: $i > $o,B: $i > $o] : ( mor @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_or) ).
thf(cs4_true,definition,
cs4_true = mtrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_true) ).
thf(cs4_valid,definition,
( cs4_valid
= ( ^ [A: $i > $o] : ( mvalid @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_valid) ).
thf(mall,definition,
( mall
= ( ^ [P: individuals > $i > $o,W: $i] :
! [X: individuals] : ( P @ X @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mall) ).
thf(mand,definition,
( mand
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox) ).
thf(mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [P: $i > $o] :
? [W: $i] :
~ ( P @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mcountersatisfiable) ).
thf(mdia,definition,
( mdia
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
? [Y: $i] :
( ( R @ X @ Y )
& ( P @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia) ).
thf(mexists,definition,
( mexists
= ( ^ [P: individuals > $i > $o,W: $i] :
? [X: individuals] : ( P @ X @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists) ).
thf(mfalse,definition,
( mfalse
= ( ^ [X: $i] : $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfalse) ).
thf(miff,definition,
( miff
= ( ^ [U: $i > $o,V: $i > $o] : ( mand @ ( mimpl @ U @ V ) @ ( mimpl @ V @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',miff) ).
thf(mimpl,definition,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimpl) ).
thf(minvalid,definition,
( minvalid
= ( ^ [P: $i > $o] :
! [W: $i] :
~ ( P @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minvalid) ).
thf(mnot,definition,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor) ).
thf(msatisfiable,definition,
( msatisfiable
= ( ^ [P: $i > $o] :
? [W: $i] : ( P @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',msatisfiable) ).
thf(mtrue,definition,
( mtrue
= ( ^ [X: $i] : $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtrue) ).
thf(mvalid,definition,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid) ).
thf(1,axiom,
( cs4_valid
@ ( cs4_all
@ ^ [K: individuals] : ( cs4_impl @ ( princ_inj @ K ) @ ( princ_inj @ loca ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',loca_strength) ).
thf(2,axiom,
! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ ( mbox @ relr @ A ) ) @ ( mbox @ relr @ ( mbox @ reli @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_i_r_commute) ).
thf(3,axiom,
! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ relr @ A ) @ ( mbox @ relr @ ( mbox @ relr @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_axiom_r) ).
thf(4,axiom,
! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ A ) @ ( mbox @ reli @ ( mbox @ reli @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_axiom_i) ).
thf(5,axiom,
! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ relr @ A ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom_r) ).
thf(6,axiom,
! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ A ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom_i) ).
thf(7,conjecture,
! [K: individuals,A: $i > $o] : ( bl_valid @ ( bl_impl @ ( bl_says @ K @ ( bl_says @ K @ ( bl_atom @ A ) ) ) @ ( bl_says @ K @ ( bl_atom @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_c4) ).
thf(8,negated_conjecture,
( ( ! [K: individuals,A: $i > $o] : ( bl_valid @ ( bl_impl @ ( bl_says @ K @ ( bl_says @ K @ ( bl_atom @ A ) ) ) @ ( bl_says @ K @ ( bl_atom @ A ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[7]) ).
thf(9,plain,
( ( ! [SY0: $i > $o] : ( bl_valid @ ( bl_impl @ ( bl_says @ sK1_K @ ( bl_says @ sK1_K @ ( bl_atom @ SY0 ) ) ) @ ( bl_says @ sK1_K @ ( bl_atom @ SY0 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[8]) ).
thf(10,plain,
( ( bl_valid @ ( bl_impl @ ( bl_says @ sK1_K @ ( bl_says @ sK1_K @ ( bl_atom @ sK2_SY0 ) ) ) @ ( bl_says @ sK1_K @ ( bl_atom @ sK2_SY0 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[9]) ).
thf(11,plain,
( ( ~ ( bl_valid @ ( bl_impl @ ( bl_says @ sK1_K @ ( bl_says @ sK1_K @ ( bl_atom @ sK2_SY0 ) ) ) @ ( bl_says @ sK1_K @ ( bl_atom @ sK2_SY0 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ A ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(13,plain,
( ( ! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ relr @ A ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(14,plain,
( ( ! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ A ) @ ( mbox @ reli @ ( mbox @ reli @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(15,plain,
( ( ! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ relr @ A ) @ ( mbox @ relr @ ( mbox @ relr @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(16,plain,
( ( ! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ ( mbox @ relr @ A ) ) @ ( mbox @ relr @ ( mbox @ reli @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(17,plain,
( ( cs4_valid
@ ( cs4_all
@ ^ [K: individuals] : ( cs4_impl @ ( princ_inj @ K ) @ ( princ_inj @ loca ) ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(18,plain,
( ( ~ ( bl_valid @ ( bl_impl @ ( bl_says @ sK1_K @ ( bl_says @ sK1_K @ ( bl_atom @ sK2_SY0 ) ) ) @ ( bl_says @ sK1_K @ ( bl_atom @ sK2_SY0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(19,plain,
( ( ! [SX0: $i > $o,SX1: $i] :
( ~ ! [SX2: $i] :
( ~ ( relr @ SX1 @ SX2 )
| ( SX0 @ SX2 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,bl_all,bl_and,bl_atom,bl_false,bl_impl,bl_or,bl_princ,bl_says,bl_true,bl_valid,cs4_all,cs4_and,cs4_atom,cs4_box,cs4_false,cs4_impl,cs4_or,cs4_true,cs4_valid,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid]) ).
thf(20,plain,
( ( ! [SX0: $i > $o,SX1: $i] :
( ~ ! [SX2: $i] :
( ~ ( reli @ SX1 @ SX2 )
| ( SX0 @ SX2 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,bl_all,bl_and,bl_atom,bl_false,bl_impl,bl_or,bl_princ,bl_says,bl_true,bl_valid,cs4_all,cs4_and,cs4_atom,cs4_box,cs4_false,cs4_impl,cs4_or,cs4_true,cs4_valid,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid]) ).
thf(21,plain,
( ( ! [SX0: $i > $o,SX1: $i] :
( ~ ! [SX2: $i] :
( ~ ( relr @ SX1 @ SX2 )
| ( SX0 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( relr @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( relr @ SX2 @ SX3 )
| ( SX0 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15,bl_all,bl_and,bl_atom,bl_false,bl_impl,bl_or,bl_princ,bl_says,bl_true,bl_valid,cs4_all,cs4_and,cs4_atom,cs4_box,cs4_false,cs4_impl,cs4_or,cs4_true,cs4_valid,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid]) ).
thf(22,plain,
( ( ! [SX0: $i > $o,SX1: $i] :
( ~ ! [SX2: $i] :
( ~ ( reli @ SX1 @ SX2 )
| ( SX0 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( reli @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( reli @ SX2 @ SX3 )
| ( SX0 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14,bl_all,bl_and,bl_atom,bl_false,bl_impl,bl_or,bl_princ,bl_says,bl_true,bl_valid,cs4_all,cs4_and,cs4_atom,cs4_box,cs4_false,cs4_impl,cs4_or,cs4_true,cs4_valid,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid]) ).
thf(23,plain,
( ( ! [SX0: $i > $o,SX1: $i] :
( ~ ! [SX2: $i] :
( ~ ( reli @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( relr @ SX2 @ SX3 )
| ( SX0 @ SX3 ) ) )
| ! [SX2: $i] :
( ~ ( relr @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( reli @ SX2 @ SX3 )
| ( SX0 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16,bl_all,bl_and,bl_atom,bl_false,bl_impl,bl_or,bl_princ,bl_says,bl_true,bl_valid,cs4_all,cs4_and,cs4_atom,cs4_box,cs4_false,cs4_impl,cs4_or,cs4_true,cs4_valid,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid]) ).
thf(24,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( reli @ SX0 @ SX1 )
| ! [SX2: individuals,SX3: $i] :
( ~ ( reli @ SX1 @ SX3 )
| ~ ( princ_inj @ SX2 @ SX3 )
| ( princ_inj @ loca @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17,bl_all,bl_and,bl_atom,bl_false,bl_impl,bl_or,bl_princ,bl_says,bl_true,bl_valid,cs4_all,cs4_and,cs4_atom,cs4_box,cs4_false,cs4_impl,cs4_or,cs4_true,cs4_valid,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid]) ).
thf(25,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( reli @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( reli @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( relr @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( reli @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( relr @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) ) ) )
| ! [SX2: $i] :
( ~ ( reli @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( relr @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( reli @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( sK2_SY0 @ SX5 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18,bl_all,bl_and,bl_atom,bl_false,bl_impl,bl_or,bl_princ,bl_says,bl_true,bl_valid,cs4_all,cs4_and,cs4_atom,cs4_box,cs4_false,cs4_impl,cs4_or,cs4_true,cs4_valid,mall,mand,mbox,mcountersatisfiable,mdia,mexists,mfalse,miff,mimpl,minvalid,mnot,mor,msatisfiable,mtrue,mvalid]) ).
thf(26,plain,
! [SV1: $i > $o] :
( ( ! [SY1: $i] :
( ~ ! [SY2: $i] :
( ~ ( relr @ SY1 @ SY2 )
| ( SV1 @ SY2 ) )
| ( SV1 @ SY1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(27,plain,
! [SV2: $i > $o] :
( ( ! [SY3: $i] :
( ~ ! [SY4: $i] :
( ~ ( reli @ SY3 @ SY4 )
| ( SV2 @ SY4 ) )
| ( SV2 @ SY3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(28,plain,
! [SV3: $i > $o] :
( ( ! [SY5: $i] :
( ~ ! [SY6: $i] :
( ~ ( relr @ SY5 @ SY6 )
| ( SV3 @ SY6 ) )
| ! [SY7: $i] :
( ~ ( relr @ SY5 @ SY7 )
| ! [SY8: $i] :
( ~ ( relr @ SY7 @ SY8 )
| ( SV3 @ SY8 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(29,plain,
! [SV4: $i > $o] :
( ( ! [SY9: $i] :
( ~ ! [SY10: $i] :
( ~ ( reli @ SY9 @ SY10 )
| ( SV4 @ SY10 ) )
| ! [SY11: $i] :
( ~ ( reli @ SY9 @ SY11 )
| ! [SY12: $i] :
( ~ ( reli @ SY11 @ SY12 )
| ( SV4 @ SY12 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(30,plain,
! [SV5: $i > $o] :
( ( ! [SY13: $i] :
( ~ ! [SY14: $i] :
( ~ ( reli @ SY13 @ SY14 )
| ! [SY15: $i] :
( ~ ( relr @ SY14 @ SY15 )
| ( SV5 @ SY15 ) ) )
| ! [SY16: $i] :
( ~ ( relr @ SY13 @ SY16 )
| ! [SY17: $i] :
( ~ ( reli @ SY16 @ SY17 )
| ( SV5 @ SY17 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(31,plain,
! [SV6: $i] :
( ( ! [SY18: $i] :
( ~ ( reli @ SV6 @ SY18 )
| ! [SX2: individuals,SX3: $i] :
( ~ ( reli @ SY18 @ SX3 )
| ~ ( princ_inj @ SX2 @ SX3 )
| ( princ_inj @ loca @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(32,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( reli @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( reli @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( relr @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( reli @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( relr @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) ) ) )
| ! [SX2: $i] :
( ~ ( reli @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( relr @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( reli @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( sK2_SY0 @ SX5 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(33,plain,
! [SV1: $i > $o,SV7: $i] :
( ( ~ ! [SY21: $i] :
( ~ ( relr @ SV7 @ SY21 )
| ( SV1 @ SY21 ) )
| ( SV1 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(34,plain,
! [SV2: $i > $o,SV8: $i] :
( ( ~ ! [SY22: $i] :
( ~ ( reli @ SV8 @ SY22 )
| ( SV2 @ SY22 ) )
| ( SV2 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(35,plain,
! [SV3: $i > $o,SV9: $i] :
( ( ~ ! [SY23: $i] :
( ~ ( relr @ SV9 @ SY23 )
| ( SV3 @ SY23 ) )
| ! [SY24: $i] :
( ~ ( relr @ SV9 @ SY24 )
| ! [SY8: $i] :
( ~ ( relr @ SY24 @ SY8 )
| ( SV3 @ SY8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(36,plain,
! [SV4: $i > $o,SV10: $i] :
( ( ~ ! [SY26: $i] :
( ~ ( reli @ SV10 @ SY26 )
| ( SV4 @ SY26 ) )
| ! [SY27: $i] :
( ~ ( reli @ SV10 @ SY27 )
| ! [SY12: $i] :
( ~ ( reli @ SY27 @ SY12 )
| ( SV4 @ SY12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(37,plain,
! [SV5: $i > $o,SV11: $i] :
( ( ~ ! [SY29: $i] :
( ~ ( reli @ SV11 @ SY29 )
| ! [SY15: $i] :
( ~ ( relr @ SY29 @ SY15 )
| ( SV5 @ SY15 ) ) )
| ! [SY31: $i] :
( ~ ( relr @ SV11 @ SY31 )
| ! [SY17: $i] :
( ~ ( reli @ SY31 @ SY17 )
| ( SV5 @ SY17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(38,plain,
! [SV12: $i,SV6: $i] :
( ( ~ ( reli @ SV6 @ SV12 )
| ! [SY33: individuals,SY34: $i] :
( ~ ( reli @ SV12 @ SY34 )
| ~ ( princ_inj @ SY33 @ SY34 )
| ( princ_inj @ loca @ SY34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(39,plain,
( ( ! [SY35: $i] :
( ~ ( reli @ sK3_SX0 @ SY35 )
| ~ ! [SX2: $i] :
( ~ ( reli @ SY35 @ SX2 )
| ! [SX3: $i] :
( ~ ( relr @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( reli @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( relr @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) ) ) )
| ! [SX2: $i] :
( ~ ( reli @ SY35 @ SX2 )
| ! [SX3: $i] :
( ~ ( relr @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( reli @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( sK2_SY0 @ SX5 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[32]) ).
thf(40,plain,
! [SV1: $i > $o,SV7: $i] :
( ( ( ~ ! [SY21: $i] :
( ~ ( relr @ SV7 @ SY21 )
| ( SV1 @ SY21 ) ) )
= $true )
| ( ( SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(41,plain,
! [SV2: $i > $o,SV8: $i] :
( ( ( ~ ! [SY22: $i] :
( ~ ( reli @ SV8 @ SY22 )
| ( SV2 @ SY22 ) ) )
= $true )
| ( ( SV2 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(42,plain,
! [SV3: $i > $o,SV9: $i] :
( ( ( ~ ! [SY23: $i] :
( ~ ( relr @ SV9 @ SY23 )
| ( SV3 @ SY23 ) ) )
= $true )
| ( ( ! [SY24: $i] :
( ~ ( relr @ SV9 @ SY24 )
| ! [SY8: $i] :
( ~ ( relr @ SY24 @ SY8 )
| ( SV3 @ SY8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(43,plain,
! [SV4: $i > $o,SV10: $i] :
( ( ( ~ ! [SY26: $i] :
( ~ ( reli @ SV10 @ SY26 )
| ( SV4 @ SY26 ) ) )
= $true )
| ( ( ! [SY27: $i] :
( ~ ( reli @ SV10 @ SY27 )
| ! [SY12: $i] :
( ~ ( reli @ SY27 @ SY12 )
| ( SV4 @ SY12 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(44,plain,
! [SV5: $i > $o,SV11: $i] :
( ( ( ~ ! [SY29: $i] :
( ~ ( reli @ SV11 @ SY29 )
| ! [SY15: $i] :
( ~ ( relr @ SY29 @ SY15 )
| ( SV5 @ SY15 ) ) ) )
= $true )
| ( ( ! [SY31: $i] :
( ~ ( relr @ SV11 @ SY31 )
| ! [SY17: $i] :
( ~ ( reli @ SY31 @ SY17 )
| ( SV5 @ SY17 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(45,plain,
! [SV12: $i,SV6: $i] :
( ( ( ~ ( reli @ SV6 @ SV12 ) )
= $true )
| ( ( ! [SY33: individuals,SY34: $i] :
( ~ ( reli @ SV12 @ SY34 )
| ~ ( princ_inj @ SY33 @ SY34 )
| ( princ_inj @ loca @ SY34 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(46,plain,
( ( ~ ( reli @ sK3_SX0 @ sK4_SY35 )
| ~ ! [SY50: $i] :
( ~ ( reli @ sK4_SY35 @ SY50 )
| ! [SX3: $i] :
( ~ ( relr @ SY50 @ SX3 )
| ! [SX4: $i] :
( ~ ( reli @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( relr @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) ) ) )
| ! [SY59: $i] :
( ~ ( reli @ sK4_SY35 @ SY59 )
| ! [SX3: $i] :
( ~ ( relr @ SY59 @ SX3 )
| ! [SX4: $i] :
( ~ ( reli @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( sK2_SY0 @ SX5 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[39]) ).
thf(47,plain,
! [SV1: $i > $o,SV7: $i] :
( ( ( ! [SY21: $i] :
( ~ ( relr @ SV7 @ SY21 )
| ( SV1 @ SY21 ) ) )
= $false )
| ( ( SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(48,plain,
! [SV2: $i > $o,SV8: $i] :
( ( ( ! [SY22: $i] :
( ~ ( reli @ SV8 @ SY22 )
| ( SV2 @ SY22 ) ) )
= $false )
| ( ( SV2 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(49,plain,
! [SV3: $i > $o,SV9: $i] :
( ( ( ! [SY23: $i] :
( ~ ( relr @ SV9 @ SY23 )
| ( SV3 @ SY23 ) ) )
= $false )
| ( ( ! [SY24: $i] :
( ~ ( relr @ SV9 @ SY24 )
| ! [SY8: $i] :
( ~ ( relr @ SY24 @ SY8 )
| ( SV3 @ SY8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(50,plain,
! [SV4: $i > $o,SV10: $i] :
( ( ( ! [SY26: $i] :
( ~ ( reli @ SV10 @ SY26 )
| ( SV4 @ SY26 ) ) )
= $false )
| ( ( ! [SY27: $i] :
( ~ ( reli @ SV10 @ SY27 )
| ! [SY12: $i] :
( ~ ( reli @ SY27 @ SY12 )
| ( SV4 @ SY12 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(51,plain,
! [SV5: $i > $o,SV11: $i] :
( ( ( ! [SY29: $i] :
( ~ ( reli @ SV11 @ SY29 )
| ! [SY15: $i] :
( ~ ( relr @ SY29 @ SY15 )
| ( SV5 @ SY15 ) ) ) )
= $false )
| ( ( ! [SY31: $i] :
( ~ ( relr @ SV11 @ SY31 )
| ! [SY17: $i] :
( ~ ( reli @ SY31 @ SY17 )
| ( SV5 @ SY17 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(52,plain,
! [SV12: $i,SV6: $i] :
( ( ( reli @ SV6 @ SV12 )
= $false )
| ( ( ! [SY33: individuals,SY34: $i] :
( ~ ( reli @ SV12 @ SY34 )
| ~ ( princ_inj @ SY33 @ SY34 )
| ( princ_inj @ loca @ SY34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(53,plain,
( ( ~ ( reli @ sK3_SX0 @ sK4_SY35 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(54,plain,
( ( ~ ! [SY50: $i] :
( ~ ( reli @ sK4_SY35 @ SY50 )
| ! [SX3: $i] :
( ~ ( relr @ SY50 @ SX3 )
| ! [SX4: $i] :
( ~ ( reli @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( relr @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) ) ) )
| ! [SY59: $i] :
( ~ ( reli @ sK4_SY35 @ SY59 )
| ! [SX3: $i] :
( ~ ( relr @ SY59 @ SX3 )
| ! [SX4: $i] :
( ~ ( reli @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( sK2_SY0 @ SX5 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[46]) ).
thf(55,plain,
! [SV1: $i > $o,SV7: $i] :
( ( ( ~ ( relr @ SV7 @ ( sK5_SY21 @ SV1 @ SV7 ) )
| ( SV1 @ ( sK5_SY21 @ SV1 @ SV7 ) ) )
= $false )
| ( ( SV1 @ SV7 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[47]) ).
thf(56,plain,
! [SV2: $i > $o,SV8: $i] :
( ( ( ~ ( reli @ SV8 @ ( sK6_SY22 @ SV2 @ SV8 ) )
| ( SV2 @ ( sK6_SY22 @ SV2 @ SV8 ) ) )
= $false )
| ( ( SV2 @ SV8 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[48]) ).
thf(57,plain,
! [SV3: $i > $o,SV9: $i] :
( ( ( ~ ( relr @ SV9 @ ( sK7_SY23 @ SV3 @ SV9 ) )
| ( SV3 @ ( sK7_SY23 @ SV3 @ SV9 ) ) )
= $false )
| ( ( ! [SY24: $i] :
( ~ ( relr @ SV9 @ SY24 )
| ! [SY8: $i] :
( ~ ( relr @ SY24 @ SY8 )
| ( SV3 @ SY8 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[49]) ).
thf(58,plain,
! [SV4: $i > $o,SV10: $i] :
( ( ( ~ ( reli @ SV10 @ ( sK8_SY26 @ SV4 @ SV10 ) )
| ( SV4 @ ( sK8_SY26 @ SV4 @ SV10 ) ) )
= $false )
| ( ( ! [SY27: $i] :
( ~ ( reli @ SV10 @ SY27 )
| ! [SY12: $i] :
( ~ ( reli @ SY27 @ SY12 )
| ( SV4 @ SY12 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[50]) ).
thf(59,plain,
! [SV5: $i > $o,SV11: $i] :
( ( ( ~ ( reli @ SV11 @ ( sK9_SY29 @ SV5 @ SV11 ) )
| ! [SY64: $i] :
( ~ ( relr @ ( sK9_SY29 @ SV5 @ SV11 ) @ SY64 )
| ( SV5 @ SY64 ) ) )
= $false )
| ( ( ! [SY31: $i] :
( ~ ( relr @ SV11 @ SY31 )
| ! [SY17: $i] :
( ~ ( reli @ SY31 @ SY17 )
| ( SV5 @ SY17 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[51]) ).
thf(60,plain,
! [SV6: $i,SV13: individuals,SV12: $i] :
( ( ( ! [SY65: $i] :
( ~ ( reli @ SV12 @ SY65 )
| ~ ( princ_inj @ SV13 @ SY65 )
| ( princ_inj @ loca @ SY65 ) ) )
= $true )
| ( ( reli @ SV6 @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(61,plain,
( ( reli @ sK3_SX0 @ sK4_SY35 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(62,plain,
( ( ~ ! [SY50: $i] :
( ~ ( reli @ sK4_SY35 @ SY50 )
| ! [SX3: $i] :
( ~ ( relr @ SY50 @ SX3 )
| ! [SX4: $i] :
( ~ ( reli @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( relr @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(63,plain,
( ( ! [SY59: $i] :
( ~ ( reli @ sK4_SY35 @ SY59 )
| ! [SX3: $i] :
( ~ ( relr @ SY59 @ SX3 )
| ! [SX4: $i] :
( ~ ( reli @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( sK2_SY0 @ SX5 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(64,plain,
! [SV1: $i > $o,SV7: $i] :
( ( ( ~ ( relr @ SV7 @ ( sK5_SY21 @ SV1 @ SV7 ) ) )
= $false )
| ( ( SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(65,plain,
! [SV7: $i,SV1: $i > $o] :
( ( ( SV1 @ ( sK5_SY21 @ SV1 @ SV7 ) )
= $false )
| ( ( SV1 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(66,plain,
! [SV2: $i > $o,SV8: $i] :
( ( ( ~ ( reli @ SV8 @ ( sK6_SY22 @ SV2 @ SV8 ) ) )
= $false )
| ( ( SV2 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(67,plain,
! [SV8: $i,SV2: $i > $o] :
( ( ( SV2 @ ( sK6_SY22 @ SV2 @ SV8 ) )
= $false )
| ( ( SV2 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(68,plain,
! [SV3: $i > $o,SV9: $i] :
( ( ( ~ ( relr @ SV9 @ ( sK7_SY23 @ SV3 @ SV9 ) ) )
= $false )
| ( ( ! [SY24: $i] :
( ~ ( relr @ SV9 @ SY24 )
| ! [SY8: $i] :
( ~ ( relr @ SY24 @ SY8 )
| ( SV3 @ SY8 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(69,plain,
! [SV9: $i,SV3: $i > $o] :
( ( ( SV3 @ ( sK7_SY23 @ SV3 @ SV9 ) )
= $false )
| ( ( ! [SY24: $i] :
( ~ ( relr @ SV9 @ SY24 )
| ! [SY8: $i] :
( ~ ( relr @ SY24 @ SY8 )
| ( SV3 @ SY8 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[57]) ).
thf(70,plain,
! [SV4: $i > $o,SV10: $i] :
( ( ( ~ ( reli @ SV10 @ ( sK8_SY26 @ SV4 @ SV10 ) ) )
= $false )
| ( ( ! [SY27: $i] :
( ~ ( reli @ SV10 @ SY27 )
| ! [SY12: $i] :
( ~ ( reli @ SY27 @ SY12 )
| ( SV4 @ SY12 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(71,plain,
! [SV10: $i,SV4: $i > $o] :
( ( ( SV4 @ ( sK8_SY26 @ SV4 @ SV10 ) )
= $false )
| ( ( ! [SY27: $i] :
( ~ ( reli @ SV10 @ SY27 )
| ! [SY12: $i] :
( ~ ( reli @ SY27 @ SY12 )
| ( SV4 @ SY12 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(72,plain,
! [SV5: $i > $o,SV11: $i] :
( ( ( ~ ( reli @ SV11 @ ( sK9_SY29 @ SV5 @ SV11 ) ) )
= $false )
| ( ( ! [SY31: $i] :
( ~ ( relr @ SV11 @ SY31 )
| ! [SY17: $i] :
( ~ ( reli @ SY31 @ SY17 )
| ( SV5 @ SY17 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(73,plain,
! [SV11: $i,SV5: $i > $o] :
( ( ( ! [SY64: $i] :
( ~ ( relr @ ( sK9_SY29 @ SV5 @ SV11 ) @ SY64 )
| ( SV5 @ SY64 ) ) )
= $false )
| ( ( ! [SY31: $i] :
( ~ ( relr @ SV11 @ SY31 )
| ! [SY17: $i] :
( ~ ( reli @ SY31 @ SY17 )
| ( SV5 @ SY17 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(74,plain,
! [SV6: $i,SV13: individuals,SV14: $i,SV12: $i] :
( ( ( ~ ( reli @ SV12 @ SV14 )
| ~ ( princ_inj @ SV13 @ SV14 )
| ( princ_inj @ loca @ SV14 ) )
= $true )
| ( ( reli @ SV6 @ SV12 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(75,plain,
( ( ! [SY50: $i] :
( ~ ( reli @ sK4_SY35 @ SY50 )
| ! [SX3: $i] :
( ~ ( relr @ SY50 @ SX3 )
| ! [SX4: $i] :
( ~ ( reli @ SX3 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( relr @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(76,plain,
( ( ~ ( reli @ sK4_SY35 @ sK10_SY59 )
| ! [SY66: $i] :
( ~ ( relr @ sK10_SY59 @ SY66 )
| ! [SX4: $i] :
( ~ ( reli @ SY66 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( sK2_SY0 @ SX5 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[63]) ).
thf(77,plain,
! [SV1: $i > $o,SV7: $i] :
( ( ( relr @ SV7 @ ( sK5_SY21 @ SV1 @ SV7 ) )
= $true )
| ( ( SV1 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(78,plain,
! [SV2: $i > $o,SV8: $i] :
( ( ( reli @ SV8 @ ( sK6_SY22 @ SV2 @ SV8 ) )
= $true )
| ( ( SV2 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(79,plain,
! [SV3: $i > $o,SV9: $i] :
( ( ( relr @ SV9 @ ( sK7_SY23 @ SV3 @ SV9 ) )
= $true )
| ( ( ! [SY24: $i] :
( ~ ( relr @ SV9 @ SY24 )
| ! [SY8: $i] :
( ~ ( relr @ SY24 @ SY8 )
| ( SV3 @ SY8 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(80,plain,
! [SV3: $i > $o,SV15: $i,SV9: $i] :
( ( ( ~ ( relr @ SV9 @ SV15 )
| ! [SY70: $i] :
( ~ ( relr @ SV15 @ SY70 )
| ( SV3 @ SY70 ) ) )
= $true )
| ( ( SV3 @ ( sK7_SY23 @ SV3 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(81,plain,
! [SV4: $i > $o,SV10: $i] :
( ( ( reli @ SV10 @ ( sK8_SY26 @ SV4 @ SV10 ) )
= $true )
| ( ( ! [SY27: $i] :
( ~ ( reli @ SV10 @ SY27 )
| ! [SY12: $i] :
( ~ ( reli @ SY27 @ SY12 )
| ( SV4 @ SY12 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(82,plain,
! [SV4: $i > $o,SV16: $i,SV10: $i] :
( ( ( ~ ( reli @ SV10 @ SV16 )
| ! [SY71: $i] :
( ~ ( reli @ SV16 @ SY71 )
| ( SV4 @ SY71 ) ) )
= $true )
| ( ( SV4 @ ( sK8_SY26 @ SV4 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(83,plain,
! [SV5: $i > $o,SV11: $i] :
( ( ( reli @ SV11 @ ( sK9_SY29 @ SV5 @ SV11 ) )
= $true )
| ( ( ! [SY31: $i] :
( ~ ( relr @ SV11 @ SY31 )
| ! [SY17: $i] :
( ~ ( reli @ SY31 @ SY17 )
| ( SV5 @ SY17 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(84,plain,
! [SV11: $i,SV5: $i > $o] :
( ( ( ~ ( relr @ ( sK9_SY29 @ SV5 @ SV11 ) @ ( sK11_SY64 @ SV11 @ SV5 ) )
| ( SV5 @ ( sK11_SY64 @ SV11 @ SV5 ) ) )
= $false )
| ( ( ! [SY31: $i] :
( ~ ( relr @ SV11 @ SY31 )
| ! [SY17: $i] :
( ~ ( reli @ SY31 @ SY17 )
| ( SV5 @ SY17 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[73]) ).
thf(85,plain,
! [SV6: $i,SV13: individuals,SV14: $i,SV12: $i] :
( ( ( ~ ( reli @ SV12 @ SV14 ) )
= $true )
| ( ( ~ ( princ_inj @ SV13 @ SV14 )
| ( princ_inj @ loca @ SV14 ) )
= $true )
| ( ( reli @ SV6 @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(86,plain,
! [SV17: $i] :
( ( ~ ( reli @ sK4_SY35 @ SV17 )
| ! [SY72: $i] :
( ~ ( relr @ SV17 @ SY72 )
| ! [SX4: $i] :
( ~ ( reli @ SY72 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( relr @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(87,plain,
( ( ~ ( reli @ sK4_SY35 @ sK10_SY59 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(88,plain,
( ( ! [SY66: $i] :
( ~ ( relr @ sK10_SY59 @ SY66 )
| ! [SX4: $i] :
( ~ ( reli @ SY66 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( sK2_SY0 @ SX5 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(89,plain,
! [SV3: $i > $o,SV18: $i,SV9: $i] :
( ( ( ~ ( relr @ SV9 @ SV18 )
| ! [SY80: $i] :
( ~ ( relr @ SV18 @ SY80 )
| ( SV3 @ SY80 ) ) )
= $true )
| ( ( relr @ SV9 @ ( sK7_SY23 @ SV3 @ SV9 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(90,plain,
! [SV3: $i > $o,SV15: $i,SV9: $i] :
( ( ( ~ ( relr @ SV9 @ SV15 ) )
= $true )
| ( ( ! [SY70: $i] :
( ~ ( relr @ SV15 @ SY70 )
| ( SV3 @ SY70 ) ) )
= $true )
| ( ( SV3 @ ( sK7_SY23 @ SV3 @ SV9 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(91,plain,
! [SV4: $i > $o,SV19: $i,SV10: $i] :
( ( ( ~ ( reli @ SV10 @ SV19 )
| ! [SY81: $i] :
( ~ ( reli @ SV19 @ SY81 )
| ( SV4 @ SY81 ) ) )
= $true )
| ( ( reli @ SV10 @ ( sK8_SY26 @ SV4 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(92,plain,
! [SV4: $i > $o,SV16: $i,SV10: $i] :
( ( ( ~ ( reli @ SV10 @ SV16 ) )
= $true )
| ( ( ! [SY71: $i] :
( ~ ( reli @ SV16 @ SY71 )
| ( SV4 @ SY71 ) ) )
= $true )
| ( ( SV4 @ ( sK8_SY26 @ SV4 @ SV10 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(93,plain,
! [SV5: $i > $o,SV20: $i,SV11: $i] :
( ( ( ~ ( relr @ SV11 @ SV20 )
| ! [SY82: $i] :
( ~ ( reli @ SV20 @ SY82 )
| ( SV5 @ SY82 ) ) )
= $true )
| ( ( reli @ SV11 @ ( sK9_SY29 @ SV5 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(94,plain,
! [SV11: $i,SV5: $i > $o] :
( ( ( ~ ( relr @ ( sK9_SY29 @ SV5 @ SV11 ) @ ( sK11_SY64 @ SV11 @ SV5 ) ) )
= $false )
| ( ( ! [SY31: $i] :
( ~ ( relr @ SV11 @ SY31 )
| ! [SY17: $i] :
( ~ ( reli @ SY31 @ SY17 )
| ( SV5 @ SY17 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(95,plain,
! [SV11: $i,SV5: $i > $o] :
( ( ( SV5 @ ( sK11_SY64 @ SV11 @ SV5 ) )
= $false )
| ( ( ! [SY31: $i] :
( ~ ( relr @ SV11 @ SY31 )
| ! [SY17: $i] :
( ~ ( reli @ SY31 @ SY17 )
| ( SV5 @ SY17 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[84]) ).
thf(96,plain,
! [SV6: $i,SV13: individuals,SV14: $i,SV12: $i] :
( ( ( reli @ SV12 @ SV14 )
= $false )
| ( ( ~ ( princ_inj @ SV13 @ SV14 )
| ( princ_inj @ loca @ SV14 ) )
= $true )
| ( ( reli @ SV6 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(97,plain,
! [SV17: $i] :
( ( ( ~ ( reli @ sK4_SY35 @ SV17 ) )
= $true )
| ( ( ! [SY72: $i] :
( ~ ( relr @ SV17 @ SY72 )
| ! [SX4: $i] :
( ~ ( reli @ SY72 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( relr @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(98,plain,
( ( reli @ sK4_SY35 @ sK10_SY59 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(99,plain,
( ( ~ ( relr @ sK10_SY59 @ sK12_SY66 )
| ! [SY83: $i] :
( ~ ( reli @ sK12_SY66 @ SY83 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SY83 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SY83 @ SX5 )
| ( sK2_SY0 @ SX5 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[88]) ).
thf(100,plain,
! [SV3: $i > $o,SV18: $i,SV9: $i] :
( ( ( ~ ( relr @ SV9 @ SV18 ) )
= $true )
| ( ( ! [SY80: $i] :
( ~ ( relr @ SV18 @ SY80 )
| ( SV3 @ SY80 ) ) )
= $true )
| ( ( relr @ SV9 @ ( sK7_SY23 @ SV3 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(101,plain,
! [SV3: $i > $o,SV15: $i,SV9: $i] :
( ( ( relr @ SV9 @ SV15 )
= $false )
| ( ( ! [SY70: $i] :
( ~ ( relr @ SV15 @ SY70 )
| ( SV3 @ SY70 ) ) )
= $true )
| ( ( SV3 @ ( sK7_SY23 @ SV3 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(102,plain,
! [SV4: $i > $o,SV19: $i,SV10: $i] :
( ( ( ~ ( reli @ SV10 @ SV19 ) )
= $true )
| ( ( ! [SY81: $i] :
( ~ ( reli @ SV19 @ SY81 )
| ( SV4 @ SY81 ) ) )
= $true )
| ( ( reli @ SV10 @ ( sK8_SY26 @ SV4 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(103,plain,
! [SV4: $i > $o,SV16: $i,SV10: $i] :
( ( ( reli @ SV10 @ SV16 )
= $false )
| ( ( ! [SY71: $i] :
( ~ ( reli @ SV16 @ SY71 )
| ( SV4 @ SY71 ) ) )
= $true )
| ( ( SV4 @ ( sK8_SY26 @ SV4 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(104,plain,
! [SV5: $i > $o,SV20: $i,SV11: $i] :
( ( ( ~ ( relr @ SV11 @ SV20 ) )
= $true )
| ( ( ! [SY82: $i] :
( ~ ( reli @ SV20 @ SY82 )
| ( SV5 @ SY82 ) ) )
= $true )
| ( ( reli @ SV11 @ ( sK9_SY29 @ SV5 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(105,plain,
! [SV11: $i,SV5: $i > $o] :
( ( ( relr @ ( sK9_SY29 @ SV5 @ SV11 ) @ ( sK11_SY64 @ SV11 @ SV5 ) )
= $true )
| ( ( ! [SY31: $i] :
( ~ ( relr @ SV11 @ SY31 )
| ! [SY17: $i] :
( ~ ( reli @ SY31 @ SY17 )
| ( SV5 @ SY17 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(106,plain,
! [SV5: $i > $o,SV21: $i,SV11: $i] :
( ( ( ~ ( relr @ SV11 @ SV21 )
| ! [SY86: $i] :
( ~ ( reli @ SV21 @ SY86 )
| ( SV5 @ SY86 ) ) )
= $true )
| ( ( SV5 @ ( sK11_SY64 @ SV11 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(107,plain,
! [SV6: $i,SV12: $i,SV14: $i,SV13: individuals] :
( ( ( ~ ( princ_inj @ SV13 @ SV14 ) )
= $true )
| ( ( princ_inj @ loca @ SV14 )
= $true )
| ( ( reli @ SV12 @ SV14 )
= $false )
| ( ( reli @ SV6 @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(108,plain,
! [SV17: $i] :
( ( ( reli @ sK4_SY35 @ SV17 )
= $false )
| ( ( ! [SY72: $i] :
( ~ ( relr @ SV17 @ SY72 )
| ! [SX4: $i] :
( ~ ( reli @ SY72 @ SX4 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SX4 @ SX5 )
| ! [SX6: $i] :
( ~ ( relr @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(109,plain,
( ( ~ ( relr @ sK10_SY59 @ sK12_SY66 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(110,plain,
( ( ! [SY83: $i] :
( ~ ( reli @ sK12_SY66 @ SY83 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SY83 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SY83 @ SX5 )
| ( sK2_SY0 @ SX5 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(111,plain,
! [SV3: $i > $o,SV18: $i,SV9: $i] :
( ( ( relr @ SV9 @ SV18 )
= $false )
| ( ( ! [SY80: $i] :
( ~ ( relr @ SV18 @ SY80 )
| ( SV3 @ SY80 ) ) )
= $true )
| ( ( relr @ SV9 @ ( sK7_SY23 @ SV3 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(112,plain,
! [SV9: $i,SV3: $i > $o,SV22: $i,SV15: $i] :
( ( ( ~ ( relr @ SV15 @ SV22 )
| ( SV3 @ SV22 ) )
= $true )
| ( ( relr @ SV9 @ SV15 )
= $false )
| ( ( SV3 @ ( sK7_SY23 @ SV3 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(113,plain,
! [SV4: $i > $o,SV19: $i,SV10: $i] :
( ( ( reli @ SV10 @ SV19 )
= $false )
| ( ( ! [SY81: $i] :
( ~ ( reli @ SV19 @ SY81 )
| ( SV4 @ SY81 ) ) )
= $true )
| ( ( reli @ SV10 @ ( sK8_SY26 @ SV4 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(114,plain,
! [SV10: $i,SV4: $i > $o,SV23: $i,SV16: $i] :
( ( ( ~ ( reli @ SV16 @ SV23 )
| ( SV4 @ SV23 ) )
= $true )
| ( ( reli @ SV10 @ SV16 )
= $false )
| ( ( SV4 @ ( sK8_SY26 @ SV4 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(115,plain,
! [SV5: $i > $o,SV20: $i,SV11: $i] :
( ( ( relr @ SV11 @ SV20 )
= $false )
| ( ( ! [SY82: $i] :
( ~ ( reli @ SV20 @ SY82 )
| ( SV5 @ SY82 ) ) )
= $true )
| ( ( reli @ SV11 @ ( sK9_SY29 @ SV5 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(116,plain,
! [SV5: $i > $o,SV24: $i,SV11: $i] :
( ( ( ~ ( relr @ SV11 @ SV24 )
| ! [SY87: $i] :
( ~ ( reli @ SV24 @ SY87 )
| ( SV5 @ SY87 ) ) )
= $true )
| ( ( relr @ ( sK9_SY29 @ SV5 @ SV11 ) @ ( sK11_SY64 @ SV11 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(117,plain,
! [SV5: $i > $o,SV21: $i,SV11: $i] :
( ( ( ~ ( relr @ SV11 @ SV21 ) )
= $true )
| ( ( ! [SY86: $i] :
( ~ ( reli @ SV21 @ SY86 )
| ( SV5 @ SY86 ) ) )
= $true )
| ( ( SV5 @ ( sK11_SY64 @ SV11 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(118,plain,
! [SV6: $i,SV12: $i,SV14: $i,SV13: individuals] :
( ( ( princ_inj @ SV13 @ SV14 )
= $false )
| ( ( princ_inj @ loca @ SV14 )
= $true )
| ( ( reli @ SV12 @ SV14 )
= $false )
| ( ( reli @ SV6 @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(119,plain,
! [SV25: $i,SV17: $i] :
( ( ( ~ ( relr @ SV17 @ SV25 )
| ! [SY88: $i] :
( ~ ( reli @ SV25 @ SY88 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SY88 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SY88 @ SX5 )
| ! [SX6: $i] :
( ~ ( relr @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) ) )
= $true )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(120,plain,
( ( relr @ sK10_SY59 @ sK12_SY66 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(121,plain,
( ( ~ ( reli @ sK12_SY66 @ sK13_SY83 )
| ~ ! [SY95: $i] :
( ~ ( reli @ sK13_SY83 @ SY95 )
| ( princ_inj @ sK1_K @ SY95 ) )
| ! [SY96: $i] :
( ~ ( reli @ sK13_SY83 @ SY96 )
| ( sK2_SY0 @ SY96 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[110]) ).
thf(122,plain,
! [SV9: $i,SV3: $i > $o,SV26: $i,SV18: $i] :
( ( ( ~ ( relr @ SV18 @ SV26 )
| ( SV3 @ SV26 ) )
= $true )
| ( ( relr @ SV9 @ SV18 )
= $false )
| ( ( relr @ SV9 @ ( sK7_SY23 @ SV3 @ SV9 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(123,plain,
! [SV9: $i,SV3: $i > $o,SV22: $i,SV15: $i] :
( ( ( ~ ( relr @ SV15 @ SV22 ) )
= $true )
| ( ( SV3 @ SV22 )
= $true )
| ( ( relr @ SV9 @ SV15 )
= $false )
| ( ( SV3 @ ( sK7_SY23 @ SV3 @ SV9 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(124,plain,
! [SV10: $i,SV4: $i > $o,SV27: $i,SV19: $i] :
( ( ( ~ ( reli @ SV19 @ SV27 )
| ( SV4 @ SV27 ) )
= $true )
| ( ( reli @ SV10 @ SV19 )
= $false )
| ( ( reli @ SV10 @ ( sK8_SY26 @ SV4 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(125,plain,
! [SV10: $i,SV4: $i > $o,SV23: $i,SV16: $i] :
( ( ( ~ ( reli @ SV16 @ SV23 ) )
= $true )
| ( ( SV4 @ SV23 )
= $true )
| ( ( reli @ SV10 @ SV16 )
= $false )
| ( ( SV4 @ ( sK8_SY26 @ SV4 @ SV10 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(126,plain,
! [SV11: $i,SV5: $i > $o,SV28: $i,SV20: $i] :
( ( ( ~ ( reli @ SV20 @ SV28 )
| ( SV5 @ SV28 ) )
= $true )
| ( ( relr @ SV11 @ SV20 )
= $false )
| ( ( reli @ SV11 @ ( sK9_SY29 @ SV5 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(127,plain,
! [SV5: $i > $o,SV24: $i,SV11: $i] :
( ( ( ~ ( relr @ SV11 @ SV24 ) )
= $true )
| ( ( ! [SY87: $i] :
( ~ ( reli @ SV24 @ SY87 )
| ( SV5 @ SY87 ) ) )
= $true )
| ( ( relr @ ( sK9_SY29 @ SV5 @ SV11 ) @ ( sK11_SY64 @ SV11 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(128,plain,
! [SV5: $i > $o,SV21: $i,SV11: $i] :
( ( ( relr @ SV11 @ SV21 )
= $false )
| ( ( ! [SY86: $i] :
( ~ ( reli @ SV21 @ SY86 )
| ( SV5 @ SY86 ) ) )
= $true )
| ( ( SV5 @ ( sK11_SY64 @ SV11 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(129,plain,
! [SV25: $i,SV17: $i] :
( ( ( ~ ( relr @ SV17 @ SV25 ) )
= $true )
| ( ( ! [SY88: $i] :
( ~ ( reli @ SV25 @ SY88 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SY88 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SY88 @ SX5 )
| ! [SX6: $i] :
( ~ ( relr @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) ) )
= $true )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(130,plain,
( ( ~ ( reli @ sK12_SY66 @ sK13_SY83 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(131,plain,
( ( ~ ! [SY95: $i] :
( ~ ( reli @ sK13_SY83 @ SY95 )
| ( princ_inj @ sK1_K @ SY95 ) )
| ! [SY96: $i] :
( ~ ( reli @ sK13_SY83 @ SY96 )
| ( sK2_SY0 @ SY96 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(132,plain,
! [SV9: $i,SV3: $i > $o,SV26: $i,SV18: $i] :
( ( ( ~ ( relr @ SV18 @ SV26 ) )
= $true )
| ( ( SV3 @ SV26 )
= $true )
| ( ( relr @ SV9 @ SV18 )
= $false )
| ( ( relr @ SV9 @ ( sK7_SY23 @ SV3 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(133,plain,
! [SV9: $i,SV3: $i > $o,SV22: $i,SV15: $i] :
( ( ( relr @ SV15 @ SV22 )
= $false )
| ( ( SV3 @ SV22 )
= $true )
| ( ( relr @ SV9 @ SV15 )
= $false )
| ( ( SV3 @ ( sK7_SY23 @ SV3 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(134,plain,
! [SV10: $i,SV4: $i > $o,SV27: $i,SV19: $i] :
( ( ( ~ ( reli @ SV19 @ SV27 ) )
= $true )
| ( ( SV4 @ SV27 )
= $true )
| ( ( reli @ SV10 @ SV19 )
= $false )
| ( ( reli @ SV10 @ ( sK8_SY26 @ SV4 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(135,plain,
! [SV10: $i,SV4: $i > $o,SV23: $i,SV16: $i] :
( ( ( reli @ SV16 @ SV23 )
= $false )
| ( ( SV4 @ SV23 )
= $true )
| ( ( reli @ SV10 @ SV16 )
= $false )
| ( ( SV4 @ ( sK8_SY26 @ SV4 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(136,plain,
! [SV11: $i,SV5: $i > $o,SV28: $i,SV20: $i] :
( ( ( ~ ( reli @ SV20 @ SV28 ) )
= $true )
| ( ( SV5 @ SV28 )
= $true )
| ( ( relr @ SV11 @ SV20 )
= $false )
| ( ( reli @ SV11 @ ( sK9_SY29 @ SV5 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(137,plain,
! [SV5: $i > $o,SV24: $i,SV11: $i] :
( ( ( relr @ SV11 @ SV24 )
= $false )
| ( ( ! [SY87: $i] :
( ~ ( reli @ SV24 @ SY87 )
| ( SV5 @ SY87 ) ) )
= $true )
| ( ( relr @ ( sK9_SY29 @ SV5 @ SV11 ) @ ( sK11_SY64 @ SV11 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(138,plain,
! [SV11: $i,SV5: $i > $o,SV29: $i,SV21: $i] :
( ( ( ~ ( reli @ SV21 @ SV29 )
| ( SV5 @ SV29 ) )
= $true )
| ( ( relr @ SV11 @ SV21 )
= $false )
| ( ( SV5 @ ( sK11_SY64 @ SV11 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(139,plain,
! [SV25: $i,SV17: $i] :
( ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( ! [SY88: $i] :
( ~ ( reli @ SV25 @ SY88 )
| ~ ! [SX5: $i] :
( ~ ( reli @ SY88 @ SX5 )
| ( princ_inj @ sK1_K @ SX5 ) )
| ! [SX5: $i] :
( ~ ( reli @ SY88 @ SX5 )
| ! [SX6: $i] :
( ~ ( relr @ SX5 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) ) )
= $true )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(140,plain,
( ( reli @ sK12_SY66 @ sK13_SY83 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(141,plain,
( ( ~ ! [SY95: $i] :
( ~ ( reli @ sK13_SY83 @ SY95 )
| ( princ_inj @ sK1_K @ SY95 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(142,plain,
( ( ! [SY96: $i] :
( ~ ( reli @ sK13_SY83 @ SY96 )
| ( sK2_SY0 @ SY96 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(143,plain,
! [SV9: $i,SV3: $i > $o,SV26: $i,SV18: $i] :
( ( ( relr @ SV18 @ SV26 )
= $false )
| ( ( SV3 @ SV26 )
= $true )
| ( ( relr @ SV9 @ SV18 )
= $false )
| ( ( relr @ SV9 @ ( sK7_SY23 @ SV3 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(144,plain,
! [SV10: $i,SV4: $i > $o,SV27: $i,SV19: $i] :
( ( ( reli @ SV19 @ SV27 )
= $false )
| ( ( SV4 @ SV27 )
= $true )
| ( ( reli @ SV10 @ SV19 )
= $false )
| ( ( reli @ SV10 @ ( sK8_SY26 @ SV4 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(145,plain,
! [SV11: $i,SV5: $i > $o,SV28: $i,SV20: $i] :
( ( ( reli @ SV20 @ SV28 )
= $false )
| ( ( SV5 @ SV28 )
= $true )
| ( ( relr @ SV11 @ SV20 )
= $false )
| ( ( reli @ SV11 @ ( sK9_SY29 @ SV5 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(146,plain,
! [SV11: $i,SV5: $i > $o,SV30: $i,SV24: $i] :
( ( ( ~ ( reli @ SV24 @ SV30 )
| ( SV5 @ SV30 ) )
= $true )
| ( ( relr @ SV11 @ SV24 )
= $false )
| ( ( relr @ ( sK9_SY29 @ SV5 @ SV11 ) @ ( sK11_SY64 @ SV11 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(147,plain,
! [SV11: $i,SV5: $i > $o,SV29: $i,SV21: $i] :
( ( ( ~ ( reli @ SV21 @ SV29 ) )
= $true )
| ( ( SV5 @ SV29 )
= $true )
| ( ( relr @ SV11 @ SV21 )
= $false )
| ( ( SV5 @ ( sK11_SY64 @ SV11 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(148,plain,
! [SV17: $i,SV31: $i,SV25: $i] :
( ( ( ~ ( reli @ SV25 @ SV31 )
| ~ ! [SY97: $i] :
( ~ ( reli @ SV31 @ SY97 )
| ( princ_inj @ sK1_K @ SY97 ) )
| ! [SY98: $i] :
( ~ ( reli @ SV31 @ SY98 )
| ! [SX6: $i] :
( ~ ( relr @ SY98 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) )
= $true )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(149,plain,
( ( ! [SY95: $i] :
( ~ ( reli @ sK13_SY83 @ SY95 )
| ( princ_inj @ sK1_K @ SY95 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(150,plain,
( ( ~ ( reli @ sK13_SY83 @ sK14_SY96 )
| ( sK2_SY0 @ sK14_SY96 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[142]) ).
thf(151,plain,
! [SV11: $i,SV5: $i > $o,SV30: $i,SV24: $i] :
( ( ( ~ ( reli @ SV24 @ SV30 ) )
= $true )
| ( ( SV5 @ SV30 )
= $true )
| ( ( relr @ SV11 @ SV24 )
= $false )
| ( ( relr @ ( sK9_SY29 @ SV5 @ SV11 ) @ ( sK11_SY64 @ SV11 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(152,plain,
! [SV11: $i,SV5: $i > $o,SV29: $i,SV21: $i] :
( ( ( reli @ SV21 @ SV29 )
= $false )
| ( ( SV5 @ SV29 )
= $true )
| ( ( relr @ SV11 @ SV21 )
= $false )
| ( ( SV5 @ ( sK11_SY64 @ SV11 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(153,plain,
! [SV17: $i,SV31: $i,SV25: $i] :
( ( ( ~ ( reli @ SV25 @ SV31 ) )
= $true )
| ( ( ~ ! [SY97: $i] :
( ~ ( reli @ SV31 @ SY97 )
| ( princ_inj @ sK1_K @ SY97 ) )
| ! [SY98: $i] :
( ~ ( reli @ SV31 @ SY98 )
| ! [SX6: $i] :
( ~ ( relr @ SY98 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) )
= $true )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(154,plain,
! [SV32: $i] :
( ( ~ ( reli @ sK13_SY83 @ SV32 )
| ( princ_inj @ sK1_K @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(155,plain,
( ( ~ ( reli @ sK13_SY83 @ sK14_SY96 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(156,plain,
( ( sK2_SY0 @ sK14_SY96 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(157,plain,
! [SV11: $i,SV5: $i > $o,SV30: $i,SV24: $i] :
( ( ( reli @ SV24 @ SV30 )
= $false )
| ( ( SV5 @ SV30 )
= $true )
| ( ( relr @ SV11 @ SV24 )
= $false )
| ( ( relr @ ( sK9_SY29 @ SV5 @ SV11 ) @ ( sK11_SY64 @ SV11 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(158,plain,
! [SV17: $i,SV31: $i,SV25: $i] :
( ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( ~ ! [SY97: $i] :
( ~ ( reli @ SV31 @ SY97 )
| ( princ_inj @ sK1_K @ SY97 ) )
| ! [SY98: $i] :
( ~ ( reli @ SV31 @ SY98 )
| ! [SX6: $i] :
( ~ ( relr @ SY98 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) )
= $true )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(159,plain,
! [SV32: $i] :
( ( ( ~ ( reli @ sK13_SY83 @ SV32 ) )
= $true )
| ( ( princ_inj @ sK1_K @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(160,plain,
( ( reli @ sK13_SY83 @ sK14_SY96 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(161,plain,
! [SV17: $i,SV25: $i,SV31: $i] :
( ( ( ~ ! [SY97: $i] :
( ~ ( reli @ SV31 @ SY97 )
| ( princ_inj @ sK1_K @ SY97 ) ) )
= $true )
| ( ( ! [SY98: $i] :
( ~ ( reli @ SV31 @ SY98 )
| ! [SX6: $i] :
( ~ ( relr @ SY98 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(162,plain,
! [SV32: $i] :
( ( ( reli @ sK13_SY83 @ SV32 )
= $false )
| ( ( princ_inj @ sK1_K @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(163,plain,
! [SV17: $i,SV25: $i,SV31: $i] :
( ( ( ! [SY97: $i] :
( ~ ( reli @ SV31 @ SY97 )
| ( princ_inj @ sK1_K @ SY97 ) ) )
= $false )
| ( ( ! [SY98: $i] :
( ~ ( reli @ SV31 @ SY98 )
| ! [SX6: $i] :
( ~ ( relr @ SY98 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(164,plain,
! [SV25: $i,SV17: $i,SV31: $i] :
( ( ( ~ ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
| ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) ) )
= $false )
| ( ( ! [SY98: $i] :
( ~ ( reli @ SV31 @ SY98 )
| ! [SX6: $i] :
( ~ ( relr @ SY98 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[163]) ).
thf(165,plain,
! [SV25: $i,SV17: $i,SV31: $i] :
( ( ( ~ ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) ) )
= $false )
| ( ( ! [SY98: $i] :
( ~ ( reli @ SV31 @ SY98 )
| ! [SX6: $i] :
( ~ ( relr @ SY98 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(166,plain,
! [SV31: $i,SV25: $i,SV17: $i] :
( ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( ! [SY98: $i] :
( ~ ( reli @ SV31 @ SY98 )
| ! [SX6: $i] :
( ~ ( relr @ SY98 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(167,plain,
! [SV25: $i,SV17: $i,SV31: $i] :
( ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( ! [SY98: $i] :
( ~ ( reli @ SV31 @ SY98 )
| ! [SX6: $i] :
( ~ ( relr @ SY98 @ SX6 )
| ! [SX7: $i] :
( ~ ( reli @ SX6 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(168,plain,
! [SV25: $i,SV17: $i,SV33: $i,SV31: $i] :
( ( ( ~ ( reli @ SV31 @ SV33 )
| ! [SY103: $i] :
( ~ ( relr @ SV33 @ SY103 )
| ! [SX7: $i] :
( ~ ( reli @ SY103 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) )
= $true )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(169,plain,
! [SV25: $i,SV17: $i,SV34: $i,SV31: $i] :
( ( ( ~ ( reli @ SV31 @ SV34 )
| ! [SY107: $i] :
( ~ ( relr @ SV34 @ SY107 )
| ! [SX7: $i] :
( ~ ( reli @ SY107 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) )
= $true )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(170,plain,
! [SV25: $i,SV17: $i,SV33: $i,SV31: $i] :
( ( ( ~ ( reli @ SV31 @ SV33 ) )
= $true )
| ( ( ! [SY103: $i] :
( ~ ( relr @ SV33 @ SY103 )
| ! [SX7: $i] :
( ~ ( reli @ SY103 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) )
= $true )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(171,plain,
! [SV25: $i,SV17: $i,SV34: $i,SV31: $i] :
( ( ( ~ ( reli @ SV31 @ SV34 ) )
= $true )
| ( ( ! [SY107: $i] :
( ~ ( relr @ SV34 @ SY107 )
| ! [SX7: $i] :
( ~ ( reli @ SY107 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) )
= $true )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(172,plain,
! [SV25: $i,SV17: $i,SV33: $i,SV31: $i] :
( ( ( reli @ SV31 @ SV33 )
= $false )
| ( ( ! [SY103: $i] :
( ~ ( relr @ SV33 @ SY103 )
| ! [SX7: $i] :
( ~ ( reli @ SY103 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) )
= $true )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(173,plain,
! [SV25: $i,SV17: $i,SV34: $i,SV31: $i] :
( ( ( reli @ SV31 @ SV34 )
= $false )
| ( ( ! [SY107: $i] :
( ~ ( relr @ SV34 @ SY107 )
| ! [SX7: $i] :
( ~ ( reli @ SY107 @ SX7 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SX7 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) ) )
= $true )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(174,plain,
! [SV25: $i,SV17: $i,SV31: $i,SV35: $i,SV33: $i] :
( ( ( ~ ( relr @ SV33 @ SV35 )
| ! [SY111: $i] :
( ~ ( reli @ SV35 @ SY111 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SY111 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SY111 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) )
= $true )
| ( ( reli @ SV31 @ SV33 )
= $false )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(175,plain,
! [SV25: $i,SV17: $i,SV31: $i,SV36: $i,SV34: $i] :
( ( ( ~ ( relr @ SV34 @ SV36 )
| ! [SY114: $i] :
( ~ ( reli @ SV36 @ SY114 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SY114 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SY114 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) )
= $true )
| ( ( reli @ SV31 @ SV34 )
= $false )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(176,plain,
! [SV25: $i,SV17: $i,SV31: $i,SV35: $i,SV33: $i] :
( ( ( ~ ( relr @ SV33 @ SV35 ) )
= $true )
| ( ( ! [SY111: $i] :
( ~ ( reli @ SV35 @ SY111 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SY111 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SY111 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) )
= $true )
| ( ( reli @ SV31 @ SV33 )
= $false )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(177,plain,
! [SV25: $i,SV17: $i,SV31: $i,SV36: $i,SV34: $i] :
( ( ( ~ ( relr @ SV34 @ SV36 ) )
= $true )
| ( ( ! [SY114: $i] :
( ~ ( reli @ SV36 @ SY114 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SY114 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SY114 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) )
= $true )
| ( ( reli @ SV31 @ SV34 )
= $false )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(178,plain,
! [SV25: $i,SV17: $i,SV31: $i,SV35: $i,SV33: $i] :
( ( ( relr @ SV33 @ SV35 )
= $false )
| ( ( ! [SY111: $i] :
( ~ ( reli @ SV35 @ SY111 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SY111 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SY111 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) )
= $true )
| ( ( reli @ SV31 @ SV33 )
= $false )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(179,plain,
! [SV25: $i,SV17: $i,SV31: $i,SV36: $i,SV34: $i] :
( ( ( relr @ SV34 @ SV36 )
= $false )
| ( ( ! [SY114: $i] :
( ~ ( reli @ SV36 @ SY114 )
| ~ ! [SX8: $i] :
( ~ ( reli @ SY114 @ SX8 )
| ( princ_inj @ sK1_K @ SX8 ) )
| ! [SX8: $i] :
( ~ ( reli @ SY114 @ SX8 )
| ( sK2_SY0 @ SX8 ) ) ) )
= $true )
| ( ( reli @ SV31 @ SV34 )
= $false )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(180,plain,
! [SV25: $i,SV17: $i,SV31: $i,SV33: $i,SV37: $i,SV35: $i] :
( ( ( ~ ( reli @ SV35 @ SV37 )
| ~ ! [SY117: $i] :
( ~ ( reli @ SV37 @ SY117 )
| ( princ_inj @ sK1_K @ SY117 ) )
| ! [SY118: $i] :
( ~ ( reli @ SV37 @ SY118 )
| ( sK2_SY0 @ SY118 ) ) )
= $true )
| ( ( relr @ SV33 @ SV35 )
= $false )
| ( ( reli @ SV31 @ SV33 )
= $false )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(181,plain,
! [SV25: $i,SV17: $i,SV31: $i,SV34: $i,SV38: $i,SV36: $i] :
( ( ( ~ ( reli @ SV36 @ SV38 )
| ~ ! [SY119: $i] :
( ~ ( reli @ SV38 @ SY119 )
| ( princ_inj @ sK1_K @ SY119 ) )
| ! [SY120: $i] :
( ~ ( reli @ SV38 @ SY120 )
| ( sK2_SY0 @ SY120 ) ) )
= $true )
| ( ( relr @ SV34 @ SV36 )
= $false )
| ( ( reli @ SV31 @ SV34 )
= $false )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(182,plain,
! [SV25: $i,SV17: $i,SV31: $i,SV33: $i,SV37: $i,SV35: $i] :
( ( ( ~ ( reli @ SV35 @ SV37 ) )
= $true )
| ( ( ~ ! [SY117: $i] :
( ~ ( reli @ SV37 @ SY117 )
| ( princ_inj @ sK1_K @ SY117 ) )
| ! [SY118: $i] :
( ~ ( reli @ SV37 @ SY118 )
| ( sK2_SY0 @ SY118 ) ) )
= $true )
| ( ( relr @ SV33 @ SV35 )
= $false )
| ( ( reli @ SV31 @ SV33 )
= $false )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(183,plain,
! [SV25: $i,SV17: $i,SV31: $i,SV34: $i,SV38: $i,SV36: $i] :
( ( ( ~ ( reli @ SV36 @ SV38 ) )
= $true )
| ( ( ~ ! [SY119: $i] :
( ~ ( reli @ SV38 @ SY119 )
| ( princ_inj @ sK1_K @ SY119 ) )
| ! [SY120: $i] :
( ~ ( reli @ SV38 @ SY120 )
| ( sK2_SY0 @ SY120 ) ) )
= $true )
| ( ( relr @ SV34 @ SV36 )
= $false )
| ( ( reli @ SV31 @ SV34 )
= $false )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(184,plain,
! [SV25: $i,SV17: $i,SV31: $i,SV33: $i,SV37: $i,SV35: $i] :
( ( ( reli @ SV35 @ SV37 )
= $false )
| ( ( ~ ! [SY117: $i] :
( ~ ( reli @ SV37 @ SY117 )
| ( princ_inj @ sK1_K @ SY117 ) )
| ! [SY118: $i] :
( ~ ( reli @ SV37 @ SY118 )
| ( sK2_SY0 @ SY118 ) ) )
= $true )
| ( ( relr @ SV33 @ SV35 )
= $false )
| ( ( reli @ SV31 @ SV33 )
= $false )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(185,plain,
! [SV25: $i,SV17: $i,SV31: $i,SV34: $i,SV38: $i,SV36: $i] :
( ( ( reli @ SV36 @ SV38 )
= $false )
| ( ( ~ ! [SY119: $i] :
( ~ ( reli @ SV38 @ SY119 )
| ( princ_inj @ sK1_K @ SY119 ) )
| ! [SY120: $i] :
( ~ ( reli @ SV38 @ SY120 )
| ( sK2_SY0 @ SY120 ) ) )
= $true )
| ( ( relr @ SV34 @ SV36 )
= $false )
| ( ( reli @ SV31 @ SV34 )
= $false )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(186,plain,
! [SV25: $i,SV17: $i,SV31: $i,SV33: $i,SV35: $i,SV37: $i] :
( ( ( ~ ! [SY117: $i] :
( ~ ( reli @ SV37 @ SY117 )
| ( princ_inj @ sK1_K @ SY117 ) ) )
= $true )
| ( ( ! [SY118: $i] :
( ~ ( reli @ SV37 @ SY118 )
| ( sK2_SY0 @ SY118 ) ) )
= $true )
| ( ( reli @ SV35 @ SV37 )
= $false )
| ( ( relr @ SV33 @ SV35 )
= $false )
| ( ( reli @ SV31 @ SV33 )
= $false )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(187,plain,
! [SV25: $i,SV17: $i,SV31: $i,SV34: $i,SV36: $i,SV38: $i] :
( ( ( ~ ! [SY119: $i] :
( ~ ( reli @ SV38 @ SY119 )
| ( princ_inj @ sK1_K @ SY119 ) ) )
= $true )
| ( ( ! [SY120: $i] :
( ~ ( reli @ SV38 @ SY120 )
| ( sK2_SY0 @ SY120 ) ) )
= $true )
| ( ( reli @ SV36 @ SV38 )
= $false )
| ( ( relr @ SV34 @ SV36 )
= $false )
| ( ( reli @ SV31 @ SV34 )
= $false )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(188,plain,
! [SV25: $i,SV17: $i,SV31: $i,SV33: $i,SV35: $i,SV37: $i] :
( ( ( ! [SY117: $i] :
( ~ ( reli @ SV37 @ SY117 )
| ( princ_inj @ sK1_K @ SY117 ) ) )
= $false )
| ( ( ! [SY118: $i] :
( ~ ( reli @ SV37 @ SY118 )
| ( sK2_SY0 @ SY118 ) ) )
= $true )
| ( ( reli @ SV35 @ SV37 )
= $false )
| ( ( relr @ SV33 @ SV35 )
= $false )
| ( ( reli @ SV31 @ SV33 )
= $false )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(189,plain,
! [SV25: $i,SV17: $i,SV31: $i,SV34: $i,SV36: $i,SV38: $i] :
( ( ( ! [SY119: $i] :
( ~ ( reli @ SV38 @ SY119 )
| ( princ_inj @ sK1_K @ SY119 ) ) )
= $false )
| ( ( ! [SY120: $i] :
( ~ ( reli @ SV38 @ SY120 )
| ( sK2_SY0 @ SY120 ) ) )
= $true )
| ( ( reli @ SV36 @ SV38 )
= $false )
| ( ( relr @ SV34 @ SV36 )
= $false )
| ( ( reli @ SV31 @ SV34 )
= $false )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(190,plain,
! [SV35: $i,SV33: $i,SV31: $i,SV17: $i,SV25: $i,SV37: $i] :
( ( ( ~ ( reli @ SV37 @ ( sK16_SY117 @ SV25 @ SV17 @ SV31 @ SV33 @ SV35 @ SV37 ) )
| ( princ_inj @ sK1_K @ ( sK16_SY117 @ SV25 @ SV17 @ SV31 @ SV33 @ SV35 @ SV37 ) ) )
= $false )
| ( ( ! [SY118: $i] :
( ~ ( reli @ SV37 @ SY118 )
| ( sK2_SY0 @ SY118 ) ) )
= $true )
| ( ( reli @ SV35 @ SV37 )
= $false )
| ( ( relr @ SV33 @ SV35 )
= $false )
| ( ( reli @ SV31 @ SV33 )
= $false )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[188]) ).
thf(191,plain,
! [SV36: $i,SV34: $i,SV31: $i,SV17: $i,SV25: $i,SV38: $i] :
( ( ( ~ ( reli @ SV38 @ ( sK17_SY119 @ SV25 @ SV17 @ SV31 @ SV34 @ SV36 @ SV38 ) )
| ( princ_inj @ sK1_K @ ( sK17_SY119 @ SV25 @ SV17 @ SV31 @ SV34 @ SV36 @ SV38 ) ) )
= $false )
| ( ( ! [SY120: $i] :
( ~ ( reli @ SV38 @ SY120 )
| ( sK2_SY0 @ SY120 ) ) )
= $true )
| ( ( reli @ SV36 @ SV38 )
= $false )
| ( ( relr @ SV34 @ SV36 )
= $false )
| ( ( reli @ SV31 @ SV34 )
= $false )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[189]) ).
thf(192,plain,
! [SV35: $i,SV33: $i,SV31: $i,SV17: $i,SV25: $i,SV37: $i] :
( ( ( ~ ( reli @ SV37 @ ( sK16_SY117 @ SV25 @ SV17 @ SV31 @ SV33 @ SV35 @ SV37 ) ) )
= $false )
| ( ( ! [SY118: $i] :
( ~ ( reli @ SV37 @ SY118 )
| ( sK2_SY0 @ SY118 ) ) )
= $true )
| ( ( reli @ SV35 @ SV37 )
= $false )
| ( ( relr @ SV33 @ SV35 )
= $false )
| ( ( reli @ SV31 @ SV33 )
= $false )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(193,plain,
! [SV37: $i,SV35: $i,SV33: $i,SV31: $i,SV17: $i,SV25: $i] :
( ( ( princ_inj @ sK1_K @ ( sK16_SY117 @ SV25 @ SV17 @ SV31 @ SV33 @ SV35 @ SV37 ) )
= $false )
| ( ( ! [SY118: $i] :
( ~ ( reli @ SV37 @ SY118 )
| ( sK2_SY0 @ SY118 ) ) )
= $true )
| ( ( reli @ SV35 @ SV37 )
= $false )
| ( ( relr @ SV33 @ SV35 )
= $false )
| ( ( reli @ SV31 @ SV33 )
= $false )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[190]) ).
thf(194,plain,
! [SV36: $i,SV34: $i,SV31: $i,SV17: $i,SV25: $i,SV38: $i] :
( ( ( ~ ( reli @ SV38 @ ( sK17_SY119 @ SV25 @ SV17 @ SV31 @ SV34 @ SV36 @ SV38 ) ) )
= $false )
| ( ( ! [SY120: $i] :
( ~ ( reli @ SV38 @ SY120 )
| ( sK2_SY0 @ SY120 ) ) )
= $true )
| ( ( reli @ SV36 @ SV38 )
= $false )
| ( ( relr @ SV34 @ SV36 )
= $false )
| ( ( reli @ SV31 @ SV34 )
= $false )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(195,plain,
! [SV38: $i,SV36: $i,SV34: $i,SV31: $i,SV17: $i,SV25: $i] :
( ( ( princ_inj @ sK1_K @ ( sK17_SY119 @ SV25 @ SV17 @ SV31 @ SV34 @ SV36 @ SV38 ) )
= $false )
| ( ( ! [SY120: $i] :
( ~ ( reli @ SV38 @ SY120 )
| ( sK2_SY0 @ SY120 ) ) )
= $true )
| ( ( reli @ SV36 @ SV38 )
= $false )
| ( ( relr @ SV34 @ SV36 )
= $false )
| ( ( reli @ SV31 @ SV34 )
= $false )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(196,plain,
! [SV35: $i,SV33: $i,SV31: $i,SV17: $i,SV25: $i,SV37: $i] :
( ( ( reli @ SV37 @ ( sK16_SY117 @ SV25 @ SV17 @ SV31 @ SV33 @ SV35 @ SV37 ) )
= $true )
| ( ( ! [SY118: $i] :
( ~ ( reli @ SV37 @ SY118 )
| ( sK2_SY0 @ SY118 ) ) )
= $true )
| ( ( reli @ SV35 @ SV37 )
= $false )
| ( ( relr @ SV33 @ SV35 )
= $false )
| ( ( reli @ SV31 @ SV33 )
= $false )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(197,plain,
! [SV35: $i,SV33: $i,SV31: $i,SV17: $i,SV25: $i,SV39: $i,SV37: $i] :
( ( ( ~ ( reli @ SV37 @ SV39 )
| ( sK2_SY0 @ SV39 ) )
= $true )
| ( ( princ_inj @ sK1_K @ ( sK16_SY117 @ SV25 @ SV17 @ SV31 @ SV33 @ SV35 @ SV37 ) )
= $false )
| ( ( reli @ SV35 @ SV37 )
= $false )
| ( ( relr @ SV33 @ SV35 )
= $false )
| ( ( reli @ SV31 @ SV33 )
= $false )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(198,plain,
! [SV36: $i,SV34: $i,SV31: $i,SV17: $i,SV25: $i,SV38: $i] :
( ( ( reli @ SV38 @ ( sK17_SY119 @ SV25 @ SV17 @ SV31 @ SV34 @ SV36 @ SV38 ) )
= $true )
| ( ( ! [SY120: $i] :
( ~ ( reli @ SV38 @ SY120 )
| ( sK2_SY0 @ SY120 ) ) )
= $true )
| ( ( reli @ SV36 @ SV38 )
= $false )
| ( ( relr @ SV34 @ SV36 )
= $false )
| ( ( reli @ SV31 @ SV34 )
= $false )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(199,plain,
! [SV36: $i,SV34: $i,SV31: $i,SV17: $i,SV25: $i,SV40: $i,SV38: $i] :
( ( ( ~ ( reli @ SV38 @ SV40 )
| ( sK2_SY0 @ SV40 ) )
= $true )
| ( ( princ_inj @ sK1_K @ ( sK17_SY119 @ SV25 @ SV17 @ SV31 @ SV34 @ SV36 @ SV38 ) )
= $false )
| ( ( reli @ SV36 @ SV38 )
= $false )
| ( ( relr @ SV34 @ SV36 )
= $false )
| ( ( reli @ SV31 @ SV34 )
= $false )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(200,plain,
! [SV35: $i,SV33: $i,SV31: $i,SV17: $i,SV25: $i,SV41: $i,SV37: $i] :
( ( ( ~ ( reli @ SV37 @ SV41 )
| ( sK2_SY0 @ SV41 ) )
= $true )
| ( ( reli @ SV37 @ ( sK16_SY117 @ SV25 @ SV17 @ SV31 @ SV33 @ SV35 @ SV37 ) )
= $true )
| ( ( reli @ SV35 @ SV37 )
= $false )
| ( ( relr @ SV33 @ SV35 )
= $false )
| ( ( reli @ SV31 @ SV33 )
= $false )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(201,plain,
! [SV35: $i,SV33: $i,SV31: $i,SV17: $i,SV25: $i,SV39: $i,SV37: $i] :
( ( ( ~ ( reli @ SV37 @ SV39 ) )
= $true )
| ( ( sK2_SY0 @ SV39 )
= $true )
| ( ( princ_inj @ sK1_K @ ( sK16_SY117 @ SV25 @ SV17 @ SV31 @ SV33 @ SV35 @ SV37 ) )
= $false )
| ( ( reli @ SV35 @ SV37 )
= $false )
| ( ( relr @ SV33 @ SV35 )
= $false )
| ( ( reli @ SV31 @ SV33 )
= $false )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(202,plain,
! [SV36: $i,SV34: $i,SV31: $i,SV17: $i,SV25: $i,SV42: $i,SV38: $i] :
( ( ( ~ ( reli @ SV38 @ SV42 )
| ( sK2_SY0 @ SV42 ) )
= $true )
| ( ( reli @ SV38 @ ( sK17_SY119 @ SV25 @ SV17 @ SV31 @ SV34 @ SV36 @ SV38 ) )
= $true )
| ( ( reli @ SV36 @ SV38 )
= $false )
| ( ( relr @ SV34 @ SV36 )
= $false )
| ( ( reli @ SV31 @ SV34 )
= $false )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(203,plain,
! [SV36: $i,SV34: $i,SV31: $i,SV17: $i,SV25: $i,SV40: $i,SV38: $i] :
( ( ( ~ ( reli @ SV38 @ SV40 ) )
= $true )
| ( ( sK2_SY0 @ SV40 )
= $true )
| ( ( princ_inj @ sK1_K @ ( sK17_SY119 @ SV25 @ SV17 @ SV31 @ SV34 @ SV36 @ SV38 ) )
= $false )
| ( ( reli @ SV36 @ SV38 )
= $false )
| ( ( relr @ SV34 @ SV36 )
= $false )
| ( ( reli @ SV31 @ SV34 )
= $false )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(204,plain,
! [SV35: $i,SV33: $i,SV31: $i,SV17: $i,SV25: $i,SV41: $i,SV37: $i] :
( ( ( ~ ( reli @ SV37 @ SV41 ) )
= $true )
| ( ( sK2_SY0 @ SV41 )
= $true )
| ( ( reli @ SV37 @ ( sK16_SY117 @ SV25 @ SV17 @ SV31 @ SV33 @ SV35 @ SV37 ) )
= $true )
| ( ( reli @ SV35 @ SV37 )
= $false )
| ( ( relr @ SV33 @ SV35 )
= $false )
| ( ( reli @ SV31 @ SV33 )
= $false )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(205,plain,
! [SV35: $i,SV33: $i,SV31: $i,SV17: $i,SV25: $i,SV39: $i,SV37: $i] :
( ( ( reli @ SV37 @ SV39 )
= $false )
| ( ( sK2_SY0 @ SV39 )
= $true )
| ( ( princ_inj @ sK1_K @ ( sK16_SY117 @ SV25 @ SV17 @ SV31 @ SV33 @ SV35 @ SV37 ) )
= $false )
| ( ( reli @ SV35 @ SV37 )
= $false )
| ( ( relr @ SV33 @ SV35 )
= $false )
| ( ( reli @ SV31 @ SV33 )
= $false )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(206,plain,
! [SV36: $i,SV34: $i,SV31: $i,SV17: $i,SV25: $i,SV42: $i,SV38: $i] :
( ( ( ~ ( reli @ SV38 @ SV42 ) )
= $true )
| ( ( sK2_SY0 @ SV42 )
= $true )
| ( ( reli @ SV38 @ ( sK17_SY119 @ SV25 @ SV17 @ SV31 @ SV34 @ SV36 @ SV38 ) )
= $true )
| ( ( reli @ SV36 @ SV38 )
= $false )
| ( ( relr @ SV34 @ SV36 )
= $false )
| ( ( reli @ SV31 @ SV34 )
= $false )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(207,plain,
! [SV36: $i,SV34: $i,SV31: $i,SV17: $i,SV25: $i,SV40: $i,SV38: $i] :
( ( ( reli @ SV38 @ SV40 )
= $false )
| ( ( sK2_SY0 @ SV40 )
= $true )
| ( ( princ_inj @ sK1_K @ ( sK17_SY119 @ SV25 @ SV17 @ SV31 @ SV34 @ SV36 @ SV38 ) )
= $false )
| ( ( reli @ SV36 @ SV38 )
= $false )
| ( ( relr @ SV34 @ SV36 )
= $false )
| ( ( reli @ SV31 @ SV34 )
= $false )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(208,plain,
! [SV35: $i,SV33: $i,SV31: $i,SV17: $i,SV25: $i,SV41: $i,SV37: $i] :
( ( ( reli @ SV37 @ SV41 )
= $false )
| ( ( sK2_SY0 @ SV41 )
= $true )
| ( ( reli @ SV37 @ ( sK16_SY117 @ SV25 @ SV17 @ SV31 @ SV33 @ SV35 @ SV37 ) )
= $true )
| ( ( reli @ SV35 @ SV37 )
= $false )
| ( ( relr @ SV33 @ SV35 )
= $false )
| ( ( reli @ SV31 @ SV33 )
= $false )
| ( ( princ_inj @ sK1_K @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $false )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(209,plain,
! [SV36: $i,SV34: $i,SV31: $i,SV17: $i,SV25: $i,SV42: $i,SV38: $i] :
( ( ( reli @ SV38 @ SV42 )
= $false )
| ( ( sK2_SY0 @ SV42 )
= $true )
| ( ( reli @ SV38 @ ( sK17_SY119 @ SV25 @ SV17 @ SV31 @ SV34 @ SV36 @ SV38 ) )
= $true )
| ( ( reli @ SV36 @ SV38 )
= $false )
| ( ( relr @ SV34 @ SV36 )
= $false )
| ( ( reli @ SV31 @ SV34 )
= $false )
| ( ( reli @ SV31 @ ( sK15_SY97 @ SV17 @ SV25 @ SV31 ) )
= $true )
| ( ( reli @ SV25 @ SV31 )
= $false )
| ( ( relr @ SV17 @ SV25 )
= $false )
| ( ( reli @ sK4_SY35 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(210,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[61,209,208,207,205,162,160,157,156,152,145,144,143,140,135,133,120,118,98,78,77,67,65]) ).
thf(211,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV445^1 : TPTP v8.1.0. Released v3.7.0.
% 0.07/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 23:07:48 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37
% 0.14/0.37 No.of.Axioms: 6
% 0.14/0.37
% 0.14/0.37 Length.of.Defs: 4838
% 0.14/0.37
% 0.14/0.37 Contains.Choice.Funs: false
% 0.14/0.37 (rf:0,axioms:6,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:8,loop_count:0,foatp_calls:0,translation:fof_full)...................
% 1.08/1.27
% 1.08/1.27 ********************************
% 1.08/1.27 * All subproblems solved! *
% 1.08/1.27 ********************************
% 1.08/1.27 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:6,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:210,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.08/1.30
% 1.08/1.30 %**** Beginning of derivation protocol ****
% 1.08/1.30 % SZS output start CNFRefutation
% See solution above
% 1.08/1.30
% 1.08/1.30 %**** End of derivation protocol ****
% 1.08/1.30 %**** no. of clauses in derivation: 211 ****
% 1.08/1.30 %**** clause counter: 210 ****
% 1.08/1.30
% 1.08/1.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:6,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:210,loop_count:0,foatp_calls:1,translation:fof_full)
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