%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : LCL960^12 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 10:31:10 AM UTC 2026
% Result : Theorem 0.53s 0.36s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 13
% Syntax : Number of formulae : 169 ( 53 unt; 0 typ; 10 def)
% Number of atoms : 3198 ( 804 equ; 0 cnn)
% Maximal formula atoms : 38 ( 18 avg)
% Number of connectives : 6606 ( 984 ~;1245 |; 24 &;4261 @)
% ( 1 <=>; 91 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 25 usr; 6 con; 0-6 aty)
% Number of variables : 1134 ( 33 ^;1087 !; 14 ?;1134 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mworld,type,
mworld: $tType ).
thf(tp_eiw_di,type,
eiw_di: $i > mworld > $o ).
thf(tp_f,type,
f: $i > $i > mworld > $o ).
thf(tp_mactual,type,
mactual: mworld ).
thf(tp_mand,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mbox,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(tp_mdia,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(tp_mequiv,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mexists_di,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(tp_mforall_di,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(tp_mimplies,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mlocal,type,
mlocal: ( mworld > $o ) > $o ).
thf(tp_mnot,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(tp_mor,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(tp_mrel,type,
mrel: mworld > mworld > $o ).
thf(tp_sK10_SY434,type,
sK10_SY434: mworld > mworld > $i > mworld > $i > mworld > mworld ).
thf(tp_sK11_SY435,type,
sK11_SY435: $i > mworld > mworld > mworld > $i > mworld > mworld ).
thf(tp_sK1_SY288,type,
sK1_SY288: mworld ).
thf(tp_sK2_SX0,type,
sK2_SX0: mworld ).
thf(tp_sK3_SY369,type,
sK3_SY369: mworld > $i ).
thf(tp_sK4_SY370,type,
sK4_SY370: $i ).
thf(tp_sK5_SY374,type,
sK5_SY374: $i > mworld > $i ).
thf(tp_sK6_SY426,type,
sK6_SY426: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK7_SY430,type,
sK7_SY430: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK8_SY431,type,
sK8_SY431: mworld > mworld > $i > $i > mworld > mworld ).
thf(tp_sK9_SY431,type,
sK9_SY431: $i > mworld > mworld > $i > mworld > mworld ).
thf(mand,definition,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def) ).
thf(mbox,definition,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).
thf(mdia,definition,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( mrel @ W @ V )
& ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia_def) ).
thf(mequiv,definition,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mequiv_def) ).
thf(mexists_di,definition,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] :
( ( eiw_di @ X @ W )
& ( A @ X @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di_def) ).
thf(mforall_di,definition,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] :
( ( eiw_di @ X @ W )
=> ( A @ X @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di_def) ).
thf(mimplies,definition,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def) ).
thf(mlocal,definition,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).
thf(mnot,definition,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot_def) ).
thf(mor,definition,
( mor
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
| ( B @ W ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor_def) ).
thf(1,axiom,
! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_nonempty) ).
thf(2,axiom,
! [W: mworld,V: mworld] : ( mrel @ W @ V ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal) ).
thf(3,conjecture,
( mlocal
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mforall_di
@ ^ [Z: $i] :
( mexists_di
@ ^ [Y: $i] :
( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( f @ X @ Y ) ) @ ( mand @ ( mbox @ ( f @ X @ Z ) ) @ ( mbox @ ( mnot @ ( mbox @ ( f @ X @ X ) ) ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( f @ X @ Z ) ) @ ( mbox @ ( mnot @ ( mbox @ ( f @ X @ X ) ) ) ) ) @ ( mbox @ ( f @ X @ Y ) ) ) ) ) ) ) ) ) )
@ ( mbox
@ ( mnot
@ ( mexists_di
@ ^ [V: $i] :
( mbox
@ ( mforall_di
@ ^ [U: $i] : ( mbox @ ( f @ U @ V ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish256) ).
thf(4,negated_conjecture,
( ( mlocal
@ ( mbox
@ ( mimplies
@ ( mbox
@ ( mforall_di
@ ^ [Z: $i] :
( mexists_di
@ ^ [Y: $i] :
( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( f @ X @ Y ) ) @ ( mand @ ( mbox @ ( f @ X @ Z ) ) @ ( mbox @ ( mnot @ ( mbox @ ( f @ X @ X ) ) ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( f @ X @ Z ) ) @ ( mbox @ ( mnot @ ( mbox @ ( f @ X @ X ) ) ) ) ) @ ( mbox @ ( f @ X @ Y ) ) ) ) ) ) ) ) ) )
@ ( mbox
@ ( mnot
@ ( mexists_di
@ ^ [V: $i] :
( mbox
@ ( mforall_di
@ ^ [U: $i] : ( mbox @ ( f @ U @ V ) ) ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,plain,
( ( ! [SY288: mworld] :
( ( mrel @ mactual @ SY288 )
=> ( ! [SY268: mworld] :
( ( mrel @ SY288 @ SY268 )
=> ! [SY181: $i] :
( ( eiw_di @ SY181 @ SY268 )
=> ? [SY182: $i] :
( ( eiw_di @ SY182 @ SY268 )
& ! [SY183: mworld] :
( ( mrel @ SY268 @ SY183 )
=> ! [SY155: $i] :
( ( eiw_di @ SY155 @ SY183 )
=> ( ! [SY156: mworld] :
( ( mrel @ SY183 @ SY156 )
=> ( ! [SY129: mworld] :
( ( mrel @ SY156 @ SY129 )
=> ( f @ SY155 @ SY182 @ SY129 ) )
=> ( ! [SY158: mworld] :
( ( mrel @ SY156 @ SY158 )
=> ( f @ SY155 @ SY181 @ SY158 ) )
& ! [SY93: mworld] :
( ( mrel @ SY156 @ SY93 )
=> ~ ! [SY94: mworld] :
( ( mrel @ SY93 @ SY94 )
=> ( f @ SY155 @ SY155 @ SY94 ) ) ) ) ) )
& ! [SY161: mworld] :
( ( mrel @ SY183 @ SY161 )
=> ( ( ! [SY162: mworld] :
( ( mrel @ SY161 @ SY162 )
=> ( f @ SY155 @ SY181 @ SY162 ) )
& ! [SY97: mworld] :
( ( mrel @ SY161 @ SY97 )
=> ~ ! [SY98: mworld] :
( ( mrel @ SY97 @ SY98 )
=> ( f @ SY155 @ SY155 @ SY98 ) ) ) )
=> ! [SY137: mworld] :
( ( mrel @ SY161 @ SY137 )
=> ( f @ SY155 @ SY182 @ SY137 ) ) ) ) ) ) ) ) ) )
=> ! [SY283: mworld] :
( ( mrel @ SY288 @ SY283 )
=> ~ ? [SY241: $i] :
( ( eiw_di @ SY241 @ SY283 )
& ! [SY242: mworld] :
( ( mrel @ SY283 @ SY242 )
=> ! [SY229: $i] :
( ( eiw_di @ SY229 @ SY242 )
=> ! [SY230: mworld] :
( ( mrel @ SY242 @ SY230 )
=> ( f @ SY229 @ SY241 @ SY230 ) ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[4,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(6,plain,
( ( ! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ) )
= $true ),
inference(unfold_def,[status(thm)],[1,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(7,plain,
( ( ! [W: mworld,V: mworld] : ( mrel @ W @ V ) )
= $true ),
inference(unfold_def,[status(thm)],[2,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(8,plain,
( ( ( mrel @ mactual @ sK1_SY288 )
=> ( ! [SY334: mworld] :
( ( mrel @ sK1_SY288 @ SY334 )
=> ! [SY181: $i] :
( ( eiw_di @ SY181 @ SY334 )
=> ? [SY182: $i] :
( ( eiw_di @ SY182 @ SY334 )
& ! [SY183: mworld] :
( ( mrel @ SY334 @ SY183 )
=> ! [SY155: $i] :
( ( eiw_di @ SY155 @ SY183 )
=> ( ! [SY156: mworld] :
( ( mrel @ SY183 @ SY156 )
=> ( ! [SY129: mworld] :
( ( mrel @ SY156 @ SY129 )
=> ( f @ SY155 @ SY182 @ SY129 ) )
=> ( ! [SY158: mworld] :
( ( mrel @ SY156 @ SY158 )
=> ( f @ SY155 @ SY181 @ SY158 ) )
& ! [SY93: mworld] :
( ( mrel @ SY156 @ SY93 )
=> ~ ! [SY94: mworld] :
( ( mrel @ SY93 @ SY94 )
=> ( f @ SY155 @ SY155 @ SY94 ) ) ) ) ) )
& ! [SY161: mworld] :
( ( mrel @ SY183 @ SY161 )
=> ( ( ! [SY162: mworld] :
( ( mrel @ SY161 @ SY162 )
=> ( f @ SY155 @ SY181 @ SY162 ) )
& ! [SY97: mworld] :
( ( mrel @ SY161 @ SY97 )
=> ~ ! [SY98: mworld] :
( ( mrel @ SY97 @ SY98 )
=> ( f @ SY155 @ SY155 @ SY98 ) ) ) )
=> ! [SY137: mworld] :
( ( mrel @ SY161 @ SY137 )
=> ( f @ SY155 @ SY182 @ SY137 ) ) ) ) ) ) ) ) ) )
=> ! [SY349: mworld] :
( ( mrel @ sK1_SY288 @ SY349 )
=> ~ ? [SY241: $i] :
( ( eiw_di @ SY241 @ SY349 )
& ! [SY242: mworld] :
( ( mrel @ SY349 @ SY242 )
=> ! [SY229: $i] :
( ( eiw_di @ SY229 @ SY242 )
=> ! [SY230: mworld] :
( ( mrel @ SY242 @ SY230 )
=> ( f @ SY229 @ SY241 @ SY230 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(9,plain,
( ( mrel @ mactual @ sK1_SY288 )
= $true ),
inference(standard_cnf,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [SY334: mworld] :
( ( mrel @ sK1_SY288 @ SY334 )
=> ! [SY181: $i] :
( ( eiw_di @ SY181 @ SY334 )
=> ? [SY182: $i] :
( ( eiw_di @ SY182 @ SY334 )
& ! [SY183: mworld] :
( ( mrel @ SY334 @ SY183 )
=> ! [SY155: $i] :
( ( eiw_di @ SY155 @ SY183 )
=> ( ! [SY156: mworld] :
( ( mrel @ SY183 @ SY156 )
=> ( ! [SY129: mworld] :
( ( mrel @ SY156 @ SY129 )
=> ( f @ SY155 @ SY182 @ SY129 ) )
=> ( ! [SY158: mworld] :
( ( mrel @ SY156 @ SY158 )
=> ( f @ SY155 @ SY181 @ SY158 ) )
& ! [SY93: mworld] :
( ( mrel @ SY156 @ SY93 )
=> ~ ! [SY94: mworld] :
( ( mrel @ SY93 @ SY94 )
=> ( f @ SY155 @ SY155 @ SY94 ) ) ) ) ) )
& ! [SY161: mworld] :
( ( mrel @ SY183 @ SY161 )
=> ( ( ! [SY162: mworld] :
( ( mrel @ SY161 @ SY162 )
=> ( f @ SY155 @ SY181 @ SY162 ) )
& ! [SY97: mworld] :
( ( mrel @ SY161 @ SY97 )
=> ~ ! [SY98: mworld] :
( ( mrel @ SY97 @ SY98 )
=> ( f @ SY155 @ SY155 @ SY98 ) ) ) )
=> ! [SY137: mworld] :
( ( mrel @ SY161 @ SY137 )
=> ( f @ SY155 @ SY182 @ SY137 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[8]) ).
thf(11,plain,
( ( ! [SY349: mworld] :
( ( mrel @ sK1_SY288 @ SY349 )
=> ~ ? [SY241: $i] :
( ( eiw_di @ SY241 @ SY349 )
& ! [SY242: mworld] :
( ( mrel @ SY349 @ SY242 )
=> ! [SY229: $i] :
( ( eiw_di @ SY229 @ SY242 )
=> ! [SY230: mworld] :
( ( mrel @ SY242 @ SY230 )
=> ( f @ SY229 @ SY241 @ SY230 ) ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ! [SY349: mworld] :
( ( mrel @ sK1_SY288 @ SY349 )
=> ~ ? [SY241: $i] :
( ( eiw_di @ SY241 @ SY349 )
& ! [SY242: mworld] :
( ( mrel @ SY349 @ SY242 )
=> ! [SY229: $i] :
( ( eiw_di @ SY229 @ SY242 )
=> ! [SY230: mworld] :
( ( mrel @ SY242 @ SY230 )
=> ( f @ SY229 @ SY241 @ SY230 ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[11]) ).
thf(13,plain,
( ( ! [W: mworld,V: mworld] : ( mrel @ W @ V ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(14,plain,
( ( ! [W: mworld] :
? [X: $i] : ( eiw_di @ X @ W ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(15,plain,
( ( ! [SY334: mworld] :
( ( mrel @ sK1_SY288 @ SY334 )
=> ! [SY181: $i] :
( ( eiw_di @ SY181 @ SY334 )
=> ? [SY182: $i] :
( ( eiw_di @ SY182 @ SY334 )
& ! [SY183: mworld] :
( ( mrel @ SY334 @ SY183 )
=> ! [SY155: $i] :
( ( eiw_di @ SY155 @ SY183 )
=> ( ! [SY156: mworld] :
( ( mrel @ SY183 @ SY156 )
=> ( ! [SY129: mworld] :
( ( mrel @ SY156 @ SY129 )
=> ( f @ SY155 @ SY182 @ SY129 ) )
=> ( ! [SY158: mworld] :
( ( mrel @ SY156 @ SY158 )
=> ( f @ SY155 @ SY181 @ SY158 ) )
& ! [SY93: mworld] :
( ( mrel @ SY156 @ SY93 )
=> ~ ! [SY94: mworld] :
( ( mrel @ SY93 @ SY94 )
=> ( f @ SY155 @ SY155 @ SY94 ) ) ) ) ) )
& ! [SY161: mworld] :
( ( mrel @ SY183 @ SY161 )
=> ( ( ! [SY162: mworld] :
( ( mrel @ SY161 @ SY162 )
=> ( f @ SY155 @ SY181 @ SY162 ) )
& ! [SY97: mworld] :
( ( mrel @ SY161 @ SY97 )
=> ~ ! [SY98: mworld] :
( ( mrel @ SY97 @ SY98 )
=> ( f @ SY155 @ SY155 @ SY98 ) ) ) )
=> ! [SY137: mworld] :
( ( mrel @ SY161 @ SY137 )
=> ( f @ SY155 @ SY182 @ SY137 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(16,plain,
( ( mrel @ mactual @ sK1_SY288 )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(17,plain,
( ( ~ ! [SY349: mworld] :
( ( mrel @ sK1_SY288 @ SY349 )
=> ~ ? [SY241: $i] :
( ( eiw_di @ SY241 @ SY349 )
& ! [SY242: mworld] :
( ( mrel @ SY349 @ SY242 )
=> ! [SY229: $i] :
( ( eiw_di @ SY229 @ SY242 )
=> ! [SY230: mworld] :
( ( mrel @ SY242 @ SY230 )
=> ( f @ SY229 @ SY241 @ SY230 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(18,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ sK1_SY288 @ SX0 )
| ! [SX1: $i] :
( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( eiw_di @ SX2 @ SX0 )
| ~ ! [SX3: mworld] :
( ~ ( mrel @ SX0 @ SX3 )
| ! [SX4: $i] :
( ~ ( eiw_di @ SX4 @ SX3 )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SX3 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( f @ SX4 @ SX2 @ SX6 ) )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( f @ SX4 @ SX1 @ SX6 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX4 @ SX4 @ SX7 ) ) ) ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SX3 @ SX5 )
| ~ ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( f @ SX4 @ SX1 @ SX6 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX4 @ SX4 @ SX7 ) ) ) )
| ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( f @ SX4 @ SX2 @ SX6 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(19,plain,
( ( ! [SX0: mworld] :
~ ! [SX1: $i] :
~ ( eiw_di @ SX1 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[14,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(20,plain,
( ( ~ ! [SX0: mworld] :
( ~ ( mrel @ sK1_SY288 @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX1 @ SX4 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).
thf(21,plain,
! [SV1: mworld] :
( ( ! [SY354: mworld] : ( mrel @ SV1 @ SY354 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(22,plain,
! [SV2: mworld] :
( ( ~ ( mrel @ sK1_SY288 @ SV2 )
| ! [SY355: $i] :
( ~ ( eiw_di @ SY355 @ SV2 )
| ~ ! [SY356: $i] :
~ ~ ( ~ ( eiw_di @ SY356 @ SV2 )
| ~ ! [SY357: mworld] :
( ~ ( mrel @ SV2 @ SY357 )
| ! [SX4: $i] :
( ~ ( eiw_di @ SX4 @ SY357 )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY357 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( f @ SX4 @ SY356 @ SX6 ) )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( f @ SX4 @ SY355 @ SX6 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX4 @ SX4 @ SX7 ) ) ) ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SY357 @ SX5 )
| ~ ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( f @ SX4 @ SY355 @ SX6 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX4 @ SX4 @ SX7 ) ) ) )
| ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( f @ SX4 @ SY356 @ SX6 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(23,plain,
! [SV3: mworld] :
( ( ~ ! [SY369: $i] :
~ ( eiw_di @ SY369 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
( ( ! [SX0: mworld] :
( ~ ( mrel @ sK1_SY288 @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( eiw_di @ SX1 @ SX0 )
| ~ ! [SX2: mworld] :
( ~ ( mrel @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SX2 )
| ! [SX4: mworld] :
( ~ ( mrel @ SX2 @ SX4 )
| ( f @ SX3 @ SX1 @ SX4 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(25,plain,
! [SV4: mworld,SV1: mworld] :
( ( mrel @ SV1 @ SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(26,plain,
! [SV2: mworld] :
( ( ( ~ ( mrel @ sK1_SY288 @ SV2 ) )
= $true )
| ( ( ! [SY355: $i] :
( ~ ( eiw_di @ SY355 @ SV2 )
| ~ ! [SY356: $i] :
~ ~ ( ~ ( eiw_di @ SY356 @ SV2 )
| ~ ! [SY357: mworld] :
( ~ ( mrel @ SV2 @ SY357 )
| ! [SX4: $i] :
( ~ ( eiw_di @ SX4 @ SY357 )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY357 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( f @ SX4 @ SY356 @ SX6 ) )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( f @ SX4 @ SY355 @ SX6 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX4 @ SX4 @ SX7 ) ) ) ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SY357 @ SX5 )
| ~ ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( f @ SX4 @ SY355 @ SX6 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX4 @ SX4 @ SX7 ) ) ) )
| ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( f @ SX4 @ SY356 @ SX6 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(27,plain,
! [SV3: mworld] :
( ( ! [SY369: $i] :
~ ( eiw_di @ SY369 @ SV3 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ( mrel @ sK1_SY288 @ sK2_SX0 )
| ~ ~ ! [SY370: $i] :
~ ~ ( ~ ( eiw_di @ SY370 @ sK2_SX0 )
| ~ ! [SY371: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY371 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY371 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY371 @ SX4 )
| ( f @ SX3 @ SY370 @ SX4 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[24]) ).
thf(29,plain,
! [SV2: mworld] :
( ( ( mrel @ sK1_SY288 @ SV2 )
= $false )
| ( ( ! [SY355: $i] :
( ~ ( eiw_di @ SY355 @ SV2 )
| ~ ! [SY356: $i] :
~ ~ ( ~ ( eiw_di @ SY356 @ SV2 )
| ~ ! [SY357: mworld] :
( ~ ( mrel @ SV2 @ SY357 )
| ! [SX4: $i] :
( ~ ( eiw_di @ SX4 @ SY357 )
| ~ ( ~ ! [SX5: mworld] :
( ~ ( mrel @ SY357 @ SX5 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( f @ SX4 @ SY356 @ SX6 ) )
| ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( f @ SX4 @ SY355 @ SX6 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX4 @ SX4 @ SX7 ) ) ) ) )
| ~ ! [SX5: mworld] :
( ~ ( mrel @ SY357 @ SX5 )
| ~ ~ ( ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( f @ SX4 @ SY355 @ SX6 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SX4 @ SX4 @ SX7 ) ) ) )
| ! [SX6: mworld] :
( ~ ( mrel @ SX5 @ SX6 )
| ( f @ SX4 @ SY356 @ SX6 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(30,plain,
! [SV3: mworld] :
( ( ~ ( eiw_di @ ( sK3_SY369 @ SV3 ) @ SV3 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[27]) ).
thf(31,plain,
( ( ~ ( mrel @ sK1_SY288 @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(32,plain,
( ( ~ ~ ! [SY370: $i] :
~ ~ ( ~ ( eiw_di @ SY370 @ sK2_SX0 )
| ~ ! [SY371: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY371 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY371 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY371 @ SX4 )
| ( f @ SX3 @ SY370 @ SX4 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(33,plain,
! [SV2: mworld,SV5: $i] :
( ( ( ~ ( eiw_di @ SV5 @ SV2 )
| ~ ! [SY374: $i] :
~ ~ ( ~ ( eiw_di @ SY374 @ SV2 )
| ~ ! [SY375: mworld] :
( ~ ( mrel @ SV2 @ SY375 )
| ! [SY376: $i] :
( ~ ( eiw_di @ SY376 @ SY375 )
| ~ ( ~ ! [SY377: mworld] :
( ~ ( mrel @ SY375 @ SY377 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY377 @ SX6 )
| ( f @ SY376 @ SY374 @ SX6 ) )
| ~ ( ~ ! [SY379: mworld] :
( ~ ( mrel @ SY377 @ SY379 )
| ( f @ SY376 @ SV5 @ SY379 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY377 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY376 @ SY376 @ SX7 ) ) ) ) )
| ~ ! [SY382: mworld] :
( ~ ( mrel @ SY375 @ SY382 )
| ~ ~ ( ~ ! [SY383: mworld] :
( ~ ( mrel @ SY382 @ SY383 )
| ( f @ SY376 @ SV5 @ SY383 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY382 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY376 @ SY376 @ SX7 ) ) ) )
| ! [SX6: mworld] :
( ~ ( mrel @ SY382 @ SX6 )
| ( f @ SY376 @ SY374 @ SX6 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(34,plain,
! [SV3: mworld] :
( ( eiw_di @ ( sK3_SY369 @ SV3 ) @ SV3 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(35,plain,
( ( mrel @ sK1_SY288 @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(36,plain,
( ( ~ ! [SY370: $i] :
~ ~ ( ~ ( eiw_di @ SY370 @ sK2_SX0 )
| ~ ! [SY371: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY371 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY371 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY371 @ SX4 )
| ( f @ SX3 @ SY370 @ SX4 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(37,plain,
! [SV2: mworld,SV5: $i] :
( ( ( ~ ( eiw_di @ SV5 @ SV2 ) )
= $true )
| ( ( ~ ! [SY374: $i] :
~ ~ ( ~ ( eiw_di @ SY374 @ SV2 )
| ~ ! [SY375: mworld] :
( ~ ( mrel @ SV2 @ SY375 )
| ! [SY376: $i] :
( ~ ( eiw_di @ SY376 @ SY375 )
| ~ ( ~ ! [SY377: mworld] :
( ~ ( mrel @ SY375 @ SY377 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY377 @ SX6 )
| ( f @ SY376 @ SY374 @ SX6 ) )
| ~ ( ~ ! [SY379: mworld] :
( ~ ( mrel @ SY377 @ SY379 )
| ( f @ SY376 @ SV5 @ SY379 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY377 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY376 @ SY376 @ SX7 ) ) ) ) )
| ~ ! [SY382: mworld] :
( ~ ( mrel @ SY375 @ SY382 )
| ~ ~ ( ~ ! [SY383: mworld] :
( ~ ( mrel @ SY382 @ SY383 )
| ( f @ SY376 @ SV5 @ SY383 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY382 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY376 @ SY376 @ SX7 ) ) ) )
| ! [SX6: mworld] :
( ~ ( mrel @ SY382 @ SX6 )
| ( f @ SY376 @ SY374 @ SX6 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(38,plain,
( ( ! [SY370: $i] :
~ ~ ( ~ ( eiw_di @ SY370 @ sK2_SX0 )
| ~ ! [SY371: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY371 )
| ! [SX3: $i] :
( ~ ( eiw_di @ SX3 @ SY371 )
| ! [SX4: mworld] :
( ~ ( mrel @ SY371 @ SX4 )
| ( f @ SX3 @ SY370 @ SX4 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(39,plain,
! [SV2: mworld,SV5: $i] :
( ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( ~ ! [SY374: $i] :
~ ~ ( ~ ( eiw_di @ SY374 @ SV2 )
| ~ ! [SY375: mworld] :
( ~ ( mrel @ SV2 @ SY375 )
| ! [SY376: $i] :
( ~ ( eiw_di @ SY376 @ SY375 )
| ~ ( ~ ! [SY377: mworld] :
( ~ ( mrel @ SY375 @ SY377 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY377 @ SX6 )
| ( f @ SY376 @ SY374 @ SX6 ) )
| ~ ( ~ ! [SY379: mworld] :
( ~ ( mrel @ SY377 @ SY379 )
| ( f @ SY376 @ SV5 @ SY379 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY377 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY376 @ SY376 @ SX7 ) ) ) ) )
| ~ ! [SY382: mworld] :
( ~ ( mrel @ SY375 @ SY382 )
| ~ ~ ( ~ ! [SY383: mworld] :
( ~ ( mrel @ SY382 @ SY383 )
| ( f @ SY376 @ SV5 @ SY383 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY382 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY376 @ SY376 @ SX7 ) ) ) )
| ! [SX6: mworld] :
( ~ ( mrel @ SY382 @ SX6 )
| ( f @ SY376 @ SY374 @ SX6 ) ) ) ) ) ) ) )
= $true )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(40,plain,
( ( ~ ~ ( ~ ( eiw_di @ sK4_SY370 @ sK2_SX0 )
| ~ ! [SY387: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY387 )
| ! [SY388: $i] :
( ~ ( eiw_di @ SY388 @ SY387 )
| ! [SY389: mworld] :
( ~ ( mrel @ SY387 @ SY389 )
| ( f @ SY388 @ sK4_SY370 @ SY389 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[38]) ).
thf(41,plain,
! [SV5: $i,SV2: mworld] :
( ( ( ! [SY374: $i] :
~ ~ ( ~ ( eiw_di @ SY374 @ SV2 )
| ~ ! [SY375: mworld] :
( ~ ( mrel @ SV2 @ SY375 )
| ! [SY376: $i] :
( ~ ( eiw_di @ SY376 @ SY375 )
| ~ ( ~ ! [SY377: mworld] :
( ~ ( mrel @ SY375 @ SY377 )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY377 @ SX6 )
| ( f @ SY376 @ SY374 @ SX6 ) )
| ~ ( ~ ! [SY379: mworld] :
( ~ ( mrel @ SY377 @ SY379 )
| ( f @ SY376 @ SV5 @ SY379 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY377 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY376 @ SY376 @ SX7 ) ) ) ) )
| ~ ! [SY382: mworld] :
( ~ ( mrel @ SY375 @ SY382 )
| ~ ~ ( ~ ! [SY383: mworld] :
( ~ ( mrel @ SY382 @ SY383 )
| ( f @ SY376 @ SV5 @ SY383 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY382 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY376 @ SY376 @ SX7 ) ) ) )
| ! [SX6: mworld] :
( ~ ( mrel @ SY382 @ SX6 )
| ( f @ SY376 @ SY374 @ SX6 ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(42,plain,
( ( ~ ( ~ ( eiw_di @ sK4_SY370 @ sK2_SX0 )
| ~ ! [SY387: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY387 )
| ! [SY388: $i] :
( ~ ( eiw_di @ SY388 @ SY387 )
| ! [SY389: mworld] :
( ~ ( mrel @ SY387 @ SY389 )
| ( f @ SY388 @ sK4_SY370 @ SY389 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(43,plain,
! [SV2: mworld,SV5: $i] :
( ( ( ~ ~ ( ~ ( eiw_di @ ( sK5_SY374 @ SV5 @ SV2 ) @ SV2 )
| ~ ! [SY390: mworld] :
( ~ ( mrel @ SV2 @ SY390 )
| ! [SY391: $i] :
( ~ ( eiw_di @ SY391 @ SY390 )
| ~ ( ~ ! [SY392: mworld] :
( ~ ( mrel @ SY390 @ SY392 )
| ~ ! [SY393: mworld] :
( ~ ( mrel @ SY392 @ SY393 )
| ( f @ SY391 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY393 ) )
| ~ ( ~ ! [SY379: mworld] :
( ~ ( mrel @ SY392 @ SY379 )
| ( f @ SY391 @ SV5 @ SY379 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY392 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY391 @ SY391 @ SX7 ) ) ) ) )
| ~ ! [SY397: mworld] :
( ~ ( mrel @ SY390 @ SY397 )
| ~ ~ ( ~ ! [SY383: mworld] :
( ~ ( mrel @ SY397 @ SY383 )
| ( f @ SY391 @ SV5 @ SY383 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY397 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY391 @ SY391 @ SX7 ) ) ) )
| ! [SY401: mworld] :
( ~ ( mrel @ SY397 @ SY401 )
| ( f @ SY391 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY401 ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[41]) ).
thf(44,plain,
( ( ~ ( eiw_di @ sK4_SY370 @ sK2_SX0 )
| ~ ! [SY387: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY387 )
| ! [SY388: $i] :
( ~ ( eiw_di @ SY388 @ SY387 )
| ! [SY389: mworld] :
( ~ ( mrel @ SY387 @ SY389 )
| ( f @ SY388 @ sK4_SY370 @ SY389 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(45,plain,
! [SV2: mworld,SV5: $i] :
( ( ( ~ ( ~ ( eiw_di @ ( sK5_SY374 @ SV5 @ SV2 ) @ SV2 )
| ~ ! [SY390: mworld] :
( ~ ( mrel @ SV2 @ SY390 )
| ! [SY391: $i] :
( ~ ( eiw_di @ SY391 @ SY390 )
| ~ ( ~ ! [SY392: mworld] :
( ~ ( mrel @ SY390 @ SY392 )
| ~ ! [SY393: mworld] :
( ~ ( mrel @ SY392 @ SY393 )
| ( f @ SY391 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY393 ) )
| ~ ( ~ ! [SY379: mworld] :
( ~ ( mrel @ SY392 @ SY379 )
| ( f @ SY391 @ SV5 @ SY379 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY392 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY391 @ SY391 @ SX7 ) ) ) ) )
| ~ ! [SY397: mworld] :
( ~ ( mrel @ SY390 @ SY397 )
| ~ ~ ( ~ ! [SY383: mworld] :
( ~ ( mrel @ SY397 @ SY383 )
| ( f @ SY391 @ SV5 @ SY383 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY397 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY391 @ SY391 @ SX7 ) ) ) )
| ! [SY401: mworld] :
( ~ ( mrel @ SY397 @ SY401 )
| ( f @ SY391 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY401 ) ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(46,plain,
( ( ~ ( eiw_di @ sK4_SY370 @ sK2_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(47,plain,
( ( ~ ! [SY387: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY387 )
| ! [SY388: $i] :
( ~ ( eiw_di @ SY388 @ SY387 )
| ! [SY389: mworld] :
( ~ ( mrel @ SY387 @ SY389 )
| ( f @ SY388 @ sK4_SY370 @ SY389 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(48,plain,
! [SV2: mworld,SV5: $i] :
( ( ( ~ ( eiw_di @ ( sK5_SY374 @ SV5 @ SV2 ) @ SV2 )
| ~ ! [SY390: mworld] :
( ~ ( mrel @ SV2 @ SY390 )
| ! [SY391: $i] :
( ~ ( eiw_di @ SY391 @ SY390 )
| ~ ( ~ ! [SY392: mworld] :
( ~ ( mrel @ SY390 @ SY392 )
| ~ ! [SY393: mworld] :
( ~ ( mrel @ SY392 @ SY393 )
| ( f @ SY391 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY393 ) )
| ~ ( ~ ! [SY379: mworld] :
( ~ ( mrel @ SY392 @ SY379 )
| ( f @ SY391 @ SV5 @ SY379 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY392 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY391 @ SY391 @ SX7 ) ) ) ) )
| ~ ! [SY397: mworld] :
( ~ ( mrel @ SY390 @ SY397 )
| ~ ~ ( ~ ! [SY383: mworld] :
( ~ ( mrel @ SY397 @ SY383 )
| ( f @ SY391 @ SV5 @ SY383 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY397 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY391 @ SY391 @ SX7 ) ) ) )
| ! [SY401: mworld] :
( ~ ( mrel @ SY397 @ SY401 )
| ( f @ SY391 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY401 ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(49,plain,
( ( eiw_di @ sK4_SY370 @ sK2_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(50,plain,
( ( ! [SY387: mworld] :
( ~ ( mrel @ sK2_SX0 @ SY387 )
| ! [SY388: $i] :
( ~ ( eiw_di @ SY388 @ SY387 )
| ! [SY389: mworld] :
( ~ ( mrel @ SY387 @ SY389 )
| ( f @ SY388 @ sK4_SY370 @ SY389 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(51,plain,
! [SV2: mworld,SV5: $i] :
( ( ( ~ ( eiw_di @ ( sK5_SY374 @ SV5 @ SV2 ) @ SV2 ) )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(52,plain,
! [SV5: $i,SV2: mworld] :
( ( ( ~ ! [SY390: mworld] :
( ~ ( mrel @ SV2 @ SY390 )
| ! [SY391: $i] :
( ~ ( eiw_di @ SY391 @ SY390 )
| ~ ( ~ ! [SY392: mworld] :
( ~ ( mrel @ SY390 @ SY392 )
| ~ ! [SY393: mworld] :
( ~ ( mrel @ SY392 @ SY393 )
| ( f @ SY391 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY393 ) )
| ~ ( ~ ! [SY379: mworld] :
( ~ ( mrel @ SY392 @ SY379 )
| ( f @ SY391 @ SV5 @ SY379 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY392 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY391 @ SY391 @ SX7 ) ) ) ) )
| ~ ! [SY397: mworld] :
( ~ ( mrel @ SY390 @ SY397 )
| ~ ~ ( ~ ! [SY383: mworld] :
( ~ ( mrel @ SY397 @ SY383 )
| ( f @ SY391 @ SV5 @ SY383 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY397 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY391 @ SY391 @ SX7 ) ) ) )
| ! [SY401: mworld] :
( ~ ( mrel @ SY397 @ SY401 )
| ( f @ SY391 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY401 ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(53,plain,
! [SV6: mworld] :
( ( ~ ( mrel @ sK2_SX0 @ SV6 )
| ! [SY402: $i] :
( ~ ( eiw_di @ SY402 @ SV6 )
| ! [SY403: mworld] :
( ~ ( mrel @ SV6 @ SY403 )
| ( f @ SY402 @ sK4_SY370 @ SY403 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(54,plain,
! [SV2: mworld,SV5: $i] :
( ( ( eiw_di @ ( sK5_SY374 @ SV5 @ SV2 ) @ SV2 )
= $true )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(55,plain,
! [SV5: $i,SV2: mworld] :
( ( ( ! [SY390: mworld] :
( ~ ( mrel @ SV2 @ SY390 )
| ! [SY391: $i] :
( ~ ( eiw_di @ SY391 @ SY390 )
| ~ ( ~ ! [SY392: mworld] :
( ~ ( mrel @ SY390 @ SY392 )
| ~ ! [SY393: mworld] :
( ~ ( mrel @ SY392 @ SY393 )
| ( f @ SY391 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY393 ) )
| ~ ( ~ ! [SY379: mworld] :
( ~ ( mrel @ SY392 @ SY379 )
| ( f @ SY391 @ SV5 @ SY379 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY392 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY391 @ SY391 @ SX7 ) ) ) ) )
| ~ ! [SY397: mworld] :
( ~ ( mrel @ SY390 @ SY397 )
| ~ ~ ( ~ ! [SY383: mworld] :
( ~ ( mrel @ SY397 @ SY383 )
| ( f @ SY391 @ SV5 @ SY383 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY397 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY391 @ SY391 @ SX7 ) ) ) )
| ! [SY401: mworld] :
( ~ ( mrel @ SY397 @ SY401 )
| ( f @ SY391 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY401 ) ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(56,plain,
! [SV6: mworld] :
( ( ( ~ ( mrel @ sK2_SX0 @ SV6 ) )
= $true )
| ( ( ! [SY402: $i] :
( ~ ( eiw_di @ SY402 @ SV6 )
| ! [SY403: mworld] :
( ~ ( mrel @ SV6 @ SY403 )
| ( f @ SY402 @ sK4_SY370 @ SY403 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(57,plain,
! [SV5: $i,SV7: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV7 )
| ! [SY404: $i] :
( ~ ( eiw_di @ SY404 @ SV7 )
| ~ ( ~ ! [SY405: mworld] :
( ~ ( mrel @ SV7 @ SY405 )
| ~ ! [SY393: mworld] :
( ~ ( mrel @ SY405 @ SY393 )
| ( f @ SY404 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY393 ) )
| ~ ( ~ ! [SY379: mworld] :
( ~ ( mrel @ SY405 @ SY379 )
| ( f @ SY404 @ SV5 @ SY379 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY405 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY404 @ SY404 @ SX7 ) ) ) ) )
| ~ ! [SY410: mworld] :
( ~ ( mrel @ SV7 @ SY410 )
| ~ ~ ( ~ ! [SY383: mworld] :
( ~ ( mrel @ SY410 @ SY383 )
| ( f @ SY404 @ SV5 @ SY383 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY410 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY404 @ SY404 @ SX7 ) ) ) )
| ! [SY401: mworld] :
( ~ ( mrel @ SY410 @ SY401 )
| ( f @ SY404 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY401 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(58,plain,
! [SV6: mworld] :
( ( ( mrel @ sK2_SX0 @ SV6 )
= $false )
| ( ( ! [SY402: $i] :
( ~ ( eiw_di @ SY402 @ SV6 )
| ! [SY403: mworld] :
( ~ ( mrel @ SV6 @ SY403 )
| ( f @ SY402 @ sK4_SY370 @ SY403 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(59,plain,
! [SV5: $i,SV7: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ SV2 @ SV7 ) )
= $true )
| ( ( ! [SY404: $i] :
( ~ ( eiw_di @ SY404 @ SV7 )
| ~ ( ~ ! [SY405: mworld] :
( ~ ( mrel @ SV7 @ SY405 )
| ~ ! [SY393: mworld] :
( ~ ( mrel @ SY405 @ SY393 )
| ( f @ SY404 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY393 ) )
| ~ ( ~ ! [SY379: mworld] :
( ~ ( mrel @ SY405 @ SY379 )
| ( f @ SY404 @ SV5 @ SY379 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY405 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY404 @ SY404 @ SX7 ) ) ) ) )
| ~ ! [SY410: mworld] :
( ~ ( mrel @ SV7 @ SY410 )
| ~ ~ ( ~ ! [SY383: mworld] :
( ~ ( mrel @ SY410 @ SY383 )
| ( f @ SY404 @ SV5 @ SY383 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY410 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY404 @ SY404 @ SX7 ) ) ) )
| ! [SY401: mworld] :
( ~ ( mrel @ SY410 @ SY401 )
| ( f @ SY404 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY401 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(60,plain,
! [SV6: mworld,SV8: $i] :
( ( ( ~ ( eiw_di @ SV8 @ SV6 )
| ! [SY415: mworld] :
( ~ ( mrel @ SV6 @ SY415 )
| ( f @ SV8 @ sK4_SY370 @ SY415 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(61,plain,
! [SV5: $i,SV7: mworld,SV2: mworld] :
( ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( ! [SY404: $i] :
( ~ ( eiw_di @ SY404 @ SV7 )
| ~ ( ~ ! [SY405: mworld] :
( ~ ( mrel @ SV7 @ SY405 )
| ~ ! [SY393: mworld] :
( ~ ( mrel @ SY405 @ SY393 )
| ( f @ SY404 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY393 ) )
| ~ ( ~ ! [SY379: mworld] :
( ~ ( mrel @ SY405 @ SY379 )
| ( f @ SY404 @ SV5 @ SY379 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY405 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY404 @ SY404 @ SX7 ) ) ) ) )
| ~ ! [SY410: mworld] :
( ~ ( mrel @ SV7 @ SY410 )
| ~ ~ ( ~ ! [SY383: mworld] :
( ~ ( mrel @ SY410 @ SY383 )
| ( f @ SY404 @ SV5 @ SY383 ) )
| ~ ! [SX6: mworld] :
( ~ ( mrel @ SY410 @ SX6 )
| ~ ! [SX7: mworld] :
( ~ ( mrel @ SX6 @ SX7 )
| ( f @ SY404 @ SY404 @ SX7 ) ) ) )
| ! [SY401: mworld] :
( ~ ( mrel @ SY410 @ SY401 )
| ( f @ SY404 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY401 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(62,plain,
! [SV6: mworld,SV8: $i] :
( ( ( ~ ( eiw_di @ SV8 @ SV6 ) )
= $true )
| ( ( ! [SY415: mworld] :
( ~ ( mrel @ SV6 @ SY415 )
| ( f @ SV8 @ sK4_SY370 @ SY415 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(63,plain,
! [SV2: mworld,SV5: $i,SV7: mworld,SV9: $i] :
( ( ( ~ ( eiw_di @ SV9 @ SV7 )
| ~ ( ~ ! [SY416: mworld] :
( ~ ( mrel @ SV7 @ SY416 )
| ~ ! [SY417: mworld] :
( ~ ( mrel @ SY416 @ SY417 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY417 ) )
| ~ ( ~ ! [SY418: mworld] :
( ~ ( mrel @ SY416 @ SY418 )
| ( f @ SV9 @ SV5 @ SY418 ) )
| ~ ! [SY419: mworld] :
( ~ ( mrel @ SY416 @ SY419 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY419 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) ) )
| ~ ! [SY421: mworld] :
( ~ ( mrel @ SV7 @ SY421 )
| ~ ~ ( ~ ! [SY422: mworld] :
( ~ ( mrel @ SY421 @ SY422 )
| ( f @ SV9 @ SV5 @ SY422 ) )
| ~ ! [SY423: mworld] :
( ~ ( mrel @ SY421 @ SY423 )
| ~ ! [SY424: mworld] :
( ~ ( mrel @ SY423 @ SY424 )
| ( f @ SV9 @ SV9 @ SY424 ) ) ) )
| ! [SY425: mworld] :
( ~ ( mrel @ SY421 @ SY425 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY425 ) ) ) ) )
= $true )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(64,plain,
! [SV6: mworld,SV8: $i] :
( ( ( eiw_di @ SV8 @ SV6 )
= $false )
| ( ( ! [SY415: mworld] :
( ~ ( mrel @ SV6 @ SY415 )
| ( f @ SV8 @ sK4_SY370 @ SY415 ) ) )
= $true )
| ( ( mrel @ sK2_SX0 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(65,plain,
! [SV2: mworld,SV5: $i,SV7: mworld,SV9: $i] :
( ( ( ~ ( eiw_di @ SV9 @ SV7 ) )
= $true )
| ( ( ~ ( ~ ! [SY416: mworld] :
( ~ ( mrel @ SV7 @ SY416 )
| ~ ! [SY417: mworld] :
( ~ ( mrel @ SY416 @ SY417 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY417 ) )
| ~ ( ~ ! [SY418: mworld] :
( ~ ( mrel @ SY416 @ SY418 )
| ( f @ SV9 @ SV5 @ SY418 ) )
| ~ ! [SY419: mworld] :
( ~ ( mrel @ SY416 @ SY419 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY419 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) ) )
| ~ ! [SY421: mworld] :
( ~ ( mrel @ SV7 @ SY421 )
| ~ ~ ( ~ ! [SY422: mworld] :
( ~ ( mrel @ SY421 @ SY422 )
| ( f @ SV9 @ SV5 @ SY422 ) )
| ~ ! [SY423: mworld] :
( ~ ( mrel @ SY421 @ SY423 )
| ~ ! [SY424: mworld] :
( ~ ( mrel @ SY423 @ SY424 )
| ( f @ SV9 @ SV9 @ SY424 ) ) ) )
| ! [SY425: mworld] :
( ~ ( mrel @ SY421 @ SY425 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY425 ) ) ) ) )
= $true )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(66,plain,
! [SV8: $i,SV10: mworld,SV6: mworld] :
( ( ( ~ ( mrel @ SV6 @ SV10 )
| ( f @ SV8 @ sK4_SY370 @ SV10 ) )
= $true )
| ( ( eiw_di @ SV8 @ SV6 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV6 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(67,plain,
! [SV2: mworld,SV5: $i,SV7: mworld,SV9: $i] :
( ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( ~ ( ~ ! [SY416: mworld] :
( ~ ( mrel @ SV7 @ SY416 )
| ~ ! [SY417: mworld] :
( ~ ( mrel @ SY416 @ SY417 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY417 ) )
| ~ ( ~ ! [SY418: mworld] :
( ~ ( mrel @ SY416 @ SY418 )
| ( f @ SV9 @ SV5 @ SY418 ) )
| ~ ! [SY419: mworld] :
( ~ ( mrel @ SY416 @ SY419 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY419 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) ) )
| ~ ! [SY421: mworld] :
( ~ ( mrel @ SV7 @ SY421 )
| ~ ~ ( ~ ! [SY422: mworld] :
( ~ ( mrel @ SY421 @ SY422 )
| ( f @ SV9 @ SV5 @ SY422 ) )
| ~ ! [SY423: mworld] :
( ~ ( mrel @ SY421 @ SY423 )
| ~ ! [SY424: mworld] :
( ~ ( mrel @ SY423 @ SY424 )
| ( f @ SV9 @ SV9 @ SY424 ) ) ) )
| ! [SY425: mworld] :
( ~ ( mrel @ SY421 @ SY425 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY425 ) ) ) ) )
= $true )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(68,plain,
! [SV8: $i,SV10: mworld,SV6: mworld] :
( ( ( ~ ( mrel @ SV6 @ SV10 ) )
= $true )
| ( ( f @ SV8 @ sK4_SY370 @ SV10 )
= $true )
| ( ( eiw_di @ SV8 @ SV6 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(69,plain,
! [SV2: mworld,SV5: $i,SV9: $i,SV7: mworld] :
( ( ( ~ ! [SY416: mworld] :
( ~ ( mrel @ SV7 @ SY416 )
| ~ ! [SY417: mworld] :
( ~ ( mrel @ SY416 @ SY417 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY417 ) )
| ~ ( ~ ! [SY418: mworld] :
( ~ ( mrel @ SY416 @ SY418 )
| ( f @ SV9 @ SV5 @ SY418 ) )
| ~ ! [SY419: mworld] :
( ~ ( mrel @ SY416 @ SY419 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY419 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) ) )
| ~ ! [SY421: mworld] :
( ~ ( mrel @ SV7 @ SY421 )
| ~ ~ ( ~ ! [SY422: mworld] :
( ~ ( mrel @ SY421 @ SY422 )
| ( f @ SV9 @ SV5 @ SY422 ) )
| ~ ! [SY423: mworld] :
( ~ ( mrel @ SY421 @ SY423 )
| ~ ! [SY424: mworld] :
( ~ ( mrel @ SY423 @ SY424 )
| ( f @ SV9 @ SV9 @ SY424 ) ) ) )
| ! [SY425: mworld] :
( ~ ( mrel @ SY421 @ SY425 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY425 ) ) ) )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(70,plain,
! [SV8: $i,SV10: mworld,SV6: mworld] :
( ( ( mrel @ SV6 @ SV10 )
= $false )
| ( ( f @ SV8 @ sK4_SY370 @ SV10 )
= $true )
| ( ( eiw_di @ SV8 @ SV6 )
= $false )
| ( ( mrel @ sK2_SX0 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(71,plain,
! [SV2: mworld,SV5: $i,SV9: $i,SV7: mworld] :
( ( ( ~ ! [SY416: mworld] :
( ~ ( mrel @ SV7 @ SY416 )
| ~ ! [SY417: mworld] :
( ~ ( mrel @ SY416 @ SY417 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY417 ) )
| ~ ( ~ ! [SY418: mworld] :
( ~ ( mrel @ SY416 @ SY418 )
| ( f @ SV9 @ SV5 @ SY418 ) )
| ~ ! [SY419: mworld] :
( ~ ( mrel @ SY416 @ SY419 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY419 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) ) ) )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(72,plain,
! [SV2: mworld,SV5: $i,SV9: $i,SV7: mworld] :
( ( ( ~ ! [SY421: mworld] :
( ~ ( mrel @ SV7 @ SY421 )
| ~ ~ ( ~ ! [SY422: mworld] :
( ~ ( mrel @ SY421 @ SY422 )
| ( f @ SV9 @ SV5 @ SY422 ) )
| ~ ! [SY423: mworld] :
( ~ ( mrel @ SY421 @ SY423 )
| ~ ! [SY424: mworld] :
( ~ ( mrel @ SY423 @ SY424 )
| ( f @ SV9 @ SV9 @ SY424 ) ) ) )
| ! [SY425: mworld] :
( ~ ( mrel @ SY421 @ SY425 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY425 ) ) ) )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(73,plain,
! [SV2: mworld,SV5: $i,SV9: $i,SV7: mworld] :
( ( ( ! [SY416: mworld] :
( ~ ( mrel @ SV7 @ SY416 )
| ~ ! [SY417: mworld] :
( ~ ( mrel @ SY416 @ SY417 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY417 ) )
| ~ ( ~ ! [SY418: mworld] :
( ~ ( mrel @ SY416 @ SY418 )
| ( f @ SV9 @ SV5 @ SY418 ) )
| ~ ! [SY419: mworld] :
( ~ ( mrel @ SY416 @ SY419 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY419 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) ) ) )
= $true )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(74,plain,
! [SV2: mworld,SV5: $i,SV9: $i,SV7: mworld] :
( ( ( ! [SY421: mworld] :
( ~ ( mrel @ SV7 @ SY421 )
| ~ ~ ( ~ ! [SY422: mworld] :
( ~ ( mrel @ SY421 @ SY422 )
| ( f @ SV9 @ SV5 @ SY422 ) )
| ~ ! [SY423: mworld] :
( ~ ( mrel @ SY421 @ SY423 )
| ~ ! [SY424: mworld] :
( ~ ( mrel @ SY423 @ SY424 )
| ( f @ SV9 @ SV9 @ SY424 ) ) ) )
| ! [SY425: mworld] :
( ~ ( mrel @ SY421 @ SY425 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY425 ) ) ) )
= $true )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(75,plain,
! [SV2: mworld,SV5: $i,SV9: $i,SV11: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ SV7 @ SV11 )
| ~ ! [SY426: mworld] :
( ~ ( mrel @ SV11 @ SY426 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY426 ) )
| ~ ( ~ ! [SY427: mworld] :
( ~ ( mrel @ SV11 @ SY427 )
| ( f @ SV9 @ SV5 @ SY427 ) )
| ~ ! [SY428: mworld] :
( ~ ( mrel @ SV11 @ SY428 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY428 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(76,plain,
! [SV2: mworld,SV5: $i,SV9: $i,SV12: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ SV7 @ SV12 )
| ~ ~ ( ~ ! [SY430: mworld] :
( ~ ( mrel @ SV12 @ SY430 )
| ( f @ SV9 @ SV5 @ SY430 ) )
| ~ ! [SY431: mworld] :
( ~ ( mrel @ SV12 @ SY431 )
| ~ ! [SY424: mworld] :
( ~ ( mrel @ SY431 @ SY424 )
| ( f @ SV9 @ SV9 @ SY424 ) ) ) )
| ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(77,plain,
! [SV2: mworld,SV5: $i,SV9: $i,SV11: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ SV7 @ SV11 ) )
= $true )
| ( ( ~ ! [SY426: mworld] :
( ~ ( mrel @ SV11 @ SY426 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY426 ) )
| ~ ( ~ ! [SY427: mworld] :
( ~ ( mrel @ SV11 @ SY427 )
| ( f @ SV9 @ SV5 @ SY427 ) )
| ~ ! [SY428: mworld] :
( ~ ( mrel @ SV11 @ SY428 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY428 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(78,plain,
! [SV2: mworld,SV5: $i,SV9: $i,SV12: mworld,SV7: mworld] :
( ( ( ~ ( mrel @ SV7 @ SV12 ) )
= $true )
| ( ( ~ ~ ( ~ ! [SY430: mworld] :
( ~ ( mrel @ SV12 @ SY430 )
| ( f @ SV9 @ SV5 @ SY430 ) )
| ~ ! [SY431: mworld] :
( ~ ( mrel @ SV12 @ SY431 )
| ~ ! [SY424: mworld] :
( ~ ( mrel @ SY431 @ SY424 )
| ( f @ SV9 @ SV9 @ SY424 ) ) ) )
| ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(79,plain,
! [SV2: mworld,SV5: $i,SV9: $i,SV11: mworld,SV7: mworld] :
( ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( ~ ! [SY426: mworld] :
( ~ ( mrel @ SV11 @ SY426 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY426 ) )
| ~ ( ~ ! [SY427: mworld] :
( ~ ( mrel @ SV11 @ SY427 )
| ( f @ SV9 @ SV5 @ SY427 ) )
| ~ ! [SY428: mworld] :
( ~ ( mrel @ SV11 @ SY428 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY428 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) ) )
= $true )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(80,plain,
! [SV2: mworld,SV5: $i,SV9: $i,SV12: mworld,SV7: mworld] :
( ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( ~ ~ ( ~ ! [SY430: mworld] :
( ~ ( mrel @ SV12 @ SY430 )
| ( f @ SV9 @ SV5 @ SY430 ) )
| ~ ! [SY431: mworld] :
( ~ ( mrel @ SV12 @ SY431 )
| ~ ! [SY424: mworld] :
( ~ ( mrel @ SY431 @ SY424 )
| ( f @ SV9 @ SV9 @ SY424 ) ) ) )
| ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(81,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV11: mworld] :
( ( ( ~ ! [SY426: mworld] :
( ~ ( mrel @ SV11 @ SY426 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY426 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY427: mworld] :
( ~ ( mrel @ SV11 @ SY427 )
| ( f @ SV9 @ SV5 @ SY427 ) )
| ~ ! [SY428: mworld] :
( ~ ( mrel @ SV11 @ SY428 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY428 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(82,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV12: mworld] :
( ( ( ~ ~ ( ~ ! [SY430: mworld] :
( ~ ( mrel @ SV12 @ SY430 )
| ( f @ SV9 @ SV5 @ SY430 ) )
| ~ ! [SY431: mworld] :
( ~ ( mrel @ SV12 @ SY431 )
| ~ ! [SY424: mworld] :
( ~ ( mrel @ SY431 @ SY424 )
| ( f @ SV9 @ SV9 @ SY424 ) ) ) ) )
= $true )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(83,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV11: mworld] :
( ( ( ! [SY426: mworld] :
( ~ ( mrel @ SV11 @ SY426 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY426 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY427: mworld] :
( ~ ( mrel @ SV11 @ SY427 )
| ( f @ SV9 @ SV5 @ SY427 ) )
| ~ ! [SY428: mworld] :
( ~ ( mrel @ SV11 @ SY428 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY428 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(84,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV12: mworld] :
( ( ( ~ ( ~ ! [SY430: mworld] :
( ~ ( mrel @ SV12 @ SY430 )
| ( f @ SV9 @ SV5 @ SY430 ) )
| ~ ! [SY431: mworld] :
( ~ ( mrel @ SV12 @ SY431 )
| ~ ! [SY424: mworld] :
( ~ ( mrel @ SY431 @ SY424 )
| ( f @ SV9 @ SV9 @ SY424 ) ) ) ) )
= $false )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(85,plain,
! [SV9: $i,SV5: $i,SV2: mworld,SV7: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY427: mworld] :
( ~ ( mrel @ SV11 @ SY427 )
| ( f @ SV9 @ SV5 @ SY427 ) )
| ~ ! [SY428: mworld] :
( ~ ( mrel @ SV11 @ SY428 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY428 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[83]) ).
thf(86,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV12: mworld] :
( ( ( ~ ! [SY430: mworld] :
( ~ ( mrel @ SV12 @ SY430 )
| ( f @ SV9 @ SV5 @ SY430 ) )
| ~ ! [SY431: mworld] :
( ~ ( mrel @ SV12 @ SY431 )
| ~ ! [SY424: mworld] :
( ~ ( mrel @ SY431 @ SY424 )
| ( f @ SV9 @ SV9 @ SY424 ) ) ) )
= $true )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(87,plain,
! [SV9: $i,SV5: $i,SV2: mworld,SV7: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY427: mworld] :
( ~ ( mrel @ SV11 @ SY427 )
| ( f @ SV9 @ SV5 @ SY427 ) )
| ~ ! [SY428: mworld] :
( ~ ( mrel @ SV11 @ SY428 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY428 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(88,plain,
! [SV11: mworld,SV7: mworld,SV2: mworld,SV5: $i,SV9: $i] :
( ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $false )
| ( ( ~ ( ~ ! [SY427: mworld] :
( ~ ( mrel @ SV11 @ SY427 )
| ( f @ SV9 @ SV5 @ SY427 ) )
| ~ ! [SY428: mworld] :
( ~ ( mrel @ SV11 @ SY428 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY428 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(89,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV12: mworld] :
( ( ( ~ ! [SY430: mworld] :
( ~ ( mrel @ SV12 @ SY430 )
| ( f @ SV9 @ SV5 @ SY430 ) ) )
= $true )
| ( ( ~ ! [SY431: mworld] :
( ~ ( mrel @ SV12 @ SY431 )
| ~ ! [SY424: mworld] :
( ~ ( mrel @ SY431 @ SY424 )
| ( f @ SV9 @ SV9 @ SY424 ) ) ) )
= $true )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(90,plain,
! [SV9: $i,SV5: $i,SV2: mworld,SV7: mworld,SV11: mworld] :
( ( ( mrel @ SV11 @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ! [SY427: mworld] :
( ~ ( mrel @ SV11 @ SY427 )
| ( f @ SV9 @ SV5 @ SY427 ) )
| ~ ! [SY428: mworld] :
( ~ ( mrel @ SV11 @ SY428 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY428 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(91,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV11: mworld] :
( ( ( ~ ! [SY427: mworld] :
( ~ ( mrel @ SV11 @ SY427 )
| ( f @ SV9 @ SV5 @ SY427 ) )
| ~ ! [SY428: mworld] :
( ~ ( mrel @ SV11 @ SY428 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY428 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) )
= $false )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $false )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(92,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV12: mworld] :
( ( ( ! [SY430: mworld] :
( ~ ( mrel @ SV12 @ SY430 )
| ( f @ SV9 @ SV5 @ SY430 ) ) )
= $false )
| ( ( ~ ! [SY431: mworld] :
( ~ ( mrel @ SV12 @ SY431 )
| ~ ! [SY424: mworld] :
( ~ ( mrel @ SY431 @ SY424 )
| ( f @ SV9 @ SV9 @ SY424 ) ) ) )
= $true )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(93,plain,
! [SV2: mworld,SV7: mworld,SV5: $i,SV9: $i,SV11: mworld] :
( ( ( ~ ! [SY427: mworld] :
( ~ ( mrel @ SV11 @ SY427 )
| ( f @ SV9 @ SV5 @ SY427 ) )
| ~ ! [SY428: mworld] :
( ~ ( mrel @ SV11 @ SY428 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY428 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) )
= $false )
| ( ( mrel @ SV11 @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(94,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV11: mworld] :
( ( ( ~ ! [SY427: mworld] :
( ~ ( mrel @ SV11 @ SY427 )
| ( f @ SV9 @ SV5 @ SY427 ) ) )
= $false )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $false )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(95,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV11: mworld] :
( ( ( ~ ! [SY428: mworld] :
( ~ ( mrel @ SV11 @ SY428 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY428 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) )
= $false )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $false )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(96,plain,
! [SV9: $i,SV5: $i,SV2: mworld,SV7: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
| ( f @ SV9 @ SV5 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) ) )
= $false )
| ( ( ~ ! [SY431: mworld] :
( ~ ( mrel @ SV12 @ SY431 )
| ~ ! [SY424: mworld] :
( ~ ( mrel @ SY431 @ SY424 )
| ( f @ SV9 @ SV9 @ SY424 ) ) ) )
= $true )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[92]) ).
thf(97,plain,
! [SV2: mworld,SV7: mworld,SV5: $i,SV9: $i,SV11: mworld] :
( ( ( ~ ! [SY427: mworld] :
( ~ ( mrel @ SV11 @ SY427 )
| ( f @ SV9 @ SV5 @ SY427 ) ) )
= $false )
| ( ( mrel @ SV11 @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(98,plain,
! [SV5: $i,SV2: mworld,SV7: mworld,SV9: $i,SV11: mworld] :
( ( ( ~ ! [SY428: mworld] :
( ~ ( mrel @ SV11 @ SY428 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY428 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) )
= $false )
| ( ( mrel @ SV11 @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(99,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV11: mworld] :
( ( ( ! [SY427: mworld] :
( ~ ( mrel @ SV11 @ SY427 )
| ( f @ SV9 @ SV5 @ SY427 ) ) )
= $true )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $false )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(100,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV11: mworld] :
( ( ( ! [SY428: mworld] :
( ~ ( mrel @ SV11 @ SY428 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY428 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) )
= $true )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $false )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(101,plain,
! [SV9: $i,SV5: $i,SV2: mworld,SV7: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) ) )
= $false )
| ( ( ~ ! [SY431: mworld] :
( ~ ( mrel @ SV12 @ SY431 )
| ~ ! [SY424: mworld] :
( ~ ( mrel @ SY431 @ SY424 )
| ( f @ SV9 @ SV9 @ SY424 ) ) ) )
= $true )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(102,plain,
! [SV12: mworld,SV2: mworld,SV7: mworld,SV5: $i,SV9: $i] :
( ( ( f @ SV9 @ SV5 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $false )
| ( ( ~ ! [SY431: mworld] :
( ~ ( mrel @ SV12 @ SY431 )
| ~ ! [SY424: mworld] :
( ~ ( mrel @ SY431 @ SY424 )
| ( f @ SV9 @ SV9 @ SY424 ) ) ) )
= $true )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(103,plain,
! [SV2: mworld,SV7: mworld,SV5: $i,SV9: $i,SV11: mworld] :
( ( ( ! [SY427: mworld] :
( ~ ( mrel @ SV11 @ SY427 )
| ( f @ SV9 @ SV5 @ SY427 ) ) )
= $true )
| ( ( mrel @ SV11 @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(104,plain,
! [SV5: $i,SV2: mworld,SV7: mworld,SV9: $i,SV11: mworld] :
( ( ( ! [SY428: mworld] :
( ~ ( mrel @ SV11 @ SY428 )
| ~ ! [SY420: mworld] :
( ~ ( mrel @ SY428 @ SY420 )
| ( f @ SV9 @ SV9 @ SY420 ) ) ) )
= $true )
| ( ( mrel @ SV11 @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(105,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV13: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV13 )
| ( f @ SV9 @ SV5 @ SV13 ) )
= $true )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $false )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(106,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV14: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV14 )
| ~ ! [SY434: mworld] :
( ~ ( mrel @ SV14 @ SY434 )
| ( f @ SV9 @ SV9 @ SY434 ) ) )
= $true )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $false )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(107,plain,
! [SV9: $i,SV5: $i,SV2: mworld,SV7: mworld,SV12: mworld] :
( ( ( mrel @ SV12 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( ~ ! [SY431: mworld] :
( ~ ( mrel @ SV12 @ SY431 )
| ~ ! [SY424: mworld] :
( ~ ( mrel @ SY431 @ SY424 )
| ( f @ SV9 @ SV9 @ SY424 ) ) ) )
= $true )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(108,plain,
! [SV2: mworld,SV7: mworld,SV5: $i,SV9: $i,SV12: mworld] :
( ( ( ! [SY431: mworld] :
( ~ ( mrel @ SV12 @ SY431 )
| ~ ! [SY424: mworld] :
( ~ ( mrel @ SY431 @ SY424 )
| ( f @ SV9 @ SV9 @ SY424 ) ) ) )
= $false )
| ( ( f @ SV9 @ SV5 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $false )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(109,plain,
! [SV2: mworld,SV7: mworld,SV5: $i,SV9: $i,SV15: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV15 )
| ( f @ SV9 @ SV5 @ SV15 ) )
= $true )
| ( ( mrel @ SV11 @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(110,plain,
! [SV5: $i,SV2: mworld,SV7: mworld,SV9: $i,SV16: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV16 )
| ~ ! [SY435: mworld] :
( ~ ( mrel @ SV16 @ SY435 )
| ( f @ SV9 @ SV9 @ SY435 ) ) )
= $true )
| ( ( mrel @ SV11 @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(111,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV13: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV13 ) )
= $true )
| ( ( f @ SV9 @ SV5 @ SV13 )
= $true )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $false )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(112,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV14: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV14 ) )
= $true )
| ( ( ~ ! [SY434: mworld] :
( ~ ( mrel @ SV14 @ SY434 )
| ( f @ SV9 @ SV9 @ SY434 ) ) )
= $true )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $false )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(113,plain,
! [SV5: $i,SV2: mworld,SV7: mworld,SV9: $i,SV12: mworld] :
( ( ( ! [SY431: mworld] :
( ~ ( mrel @ SV12 @ SY431 )
| ~ ! [SY424: mworld] :
( ~ ( mrel @ SY431 @ SY424 )
| ( f @ SV9 @ SV9 @ SY424 ) ) ) )
= $false )
| ( ( mrel @ SV12 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(114,plain,
! [SV9: $i,SV5: $i,SV7: mworld,SV2: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ ( sK8_SY431 @ SV2 @ SV7 @ SV5 @ SV9 @ SV12 ) )
| ~ ! [SY436: mworld] :
( ~ ( mrel @ ( sK8_SY431 @ SV2 @ SV7 @ SV5 @ SV9 @ SV12 ) @ SY436 )
| ( f @ SV9 @ SV9 @ SY436 ) ) )
= $false )
| ( ( f @ SV9 @ SV5 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $false )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[108]) ).
thf(115,plain,
! [SV2: mworld,SV7: mworld,SV5: $i,SV9: $i,SV15: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV15 ) )
= $true )
| ( ( f @ SV9 @ SV5 @ SV15 )
= $true )
| ( ( mrel @ SV11 @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(116,plain,
! [SV5: $i,SV2: mworld,SV7: mworld,SV9: $i,SV16: mworld,SV11: mworld] :
( ( ( ~ ( mrel @ SV11 @ SV16 ) )
= $true )
| ( ( ~ ! [SY435: mworld] :
( ~ ( mrel @ SV16 @ SY435 )
| ( f @ SV9 @ SV9 @ SY435 ) ) )
= $true )
| ( ( mrel @ SV11 @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(117,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV13: mworld,SV11: mworld] :
( ( ( mrel @ SV11 @ SV13 )
= $false )
| ( ( f @ SV9 @ SV5 @ SV13 )
= $true )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $false )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(118,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV14: mworld,SV11: mworld] :
( ( ( mrel @ SV11 @ SV14 )
= $false )
| ( ( ~ ! [SY434: mworld] :
( ~ ( mrel @ SV14 @ SY434 )
| ( f @ SV9 @ SV9 @ SY434 ) ) )
= $true )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $false )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(119,plain,
! [SV9: $i,SV7: mworld,SV2: mworld,SV5: $i,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ ( sK9_SY431 @ SV5 @ SV2 @ SV7 @ SV9 @ SV12 ) )
| ~ ! [SY437: mworld] :
( ~ ( mrel @ ( sK9_SY431 @ SV5 @ SV2 @ SV7 @ SV9 @ SV12 ) @ SY437 )
| ( f @ SV9 @ SV9 @ SY437 ) ) )
= $false )
| ( ( mrel @ SV12 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[113]) ).
thf(120,plain,
! [SV9: $i,SV5: $i,SV7: mworld,SV2: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ ( sK8_SY431 @ SV2 @ SV7 @ SV5 @ SV9 @ SV12 ) ) )
= $false )
| ( ( f @ SV9 @ SV5 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $false )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(121,plain,
! [SV12: mworld,SV9: $i,SV5: $i,SV7: mworld,SV2: mworld] :
( ( ( ~ ! [SY436: mworld] :
( ~ ( mrel @ ( sK8_SY431 @ SV2 @ SV7 @ SV5 @ SV9 @ SV12 ) @ SY436 )
| ( f @ SV9 @ SV9 @ SY436 ) ) )
= $false )
| ( ( f @ SV9 @ SV5 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $false )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(122,plain,
! [SV2: mworld,SV7: mworld,SV5: $i,SV9: $i,SV15: mworld,SV11: mworld] :
( ( ( mrel @ SV11 @ SV15 )
= $false )
| ( ( f @ SV9 @ SV5 @ SV15 )
= $true )
| ( ( mrel @ SV11 @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(123,plain,
! [SV5: $i,SV2: mworld,SV7: mworld,SV9: $i,SV16: mworld,SV11: mworld] :
( ( ( mrel @ SV11 @ SV16 )
= $false )
| ( ( ~ ! [SY435: mworld] :
( ~ ( mrel @ SV16 @ SY435 )
| ( f @ SV9 @ SV9 @ SY435 ) ) )
= $true )
| ( ( mrel @ SV11 @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(124,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV11: mworld,SV9: $i,SV14: mworld] :
( ( ( ! [SY434: mworld] :
( ~ ( mrel @ SV14 @ SY434 )
| ( f @ SV9 @ SV9 @ SY434 ) ) )
= $false )
| ( ( mrel @ SV11 @ SV14 )
= $false )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $false )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(125,plain,
! [SV9: $i,SV7: mworld,SV2: mworld,SV5: $i,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ ( sK9_SY431 @ SV5 @ SV2 @ SV7 @ SV9 @ SV12 ) ) )
= $false )
| ( ( mrel @ SV12 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(126,plain,
! [SV12: mworld,SV9: $i,SV7: mworld,SV2: mworld,SV5: $i] :
( ( ( ~ ! [SY437: mworld] :
( ~ ( mrel @ ( sK9_SY431 @ SV5 @ SV2 @ SV7 @ SV9 @ SV12 ) @ SY437 )
| ( f @ SV9 @ SV9 @ SY437 ) ) )
= $false )
| ( ( mrel @ SV12 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(127,plain,
! [SV9: $i,SV5: $i,SV7: mworld,SV2: mworld,SV12: mworld] :
( ( ( mrel @ SV12 @ ( sK8_SY431 @ SV2 @ SV7 @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( f @ SV9 @ SV5 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $false )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(128,plain,
! [SV12: mworld,SV9: $i,SV5: $i,SV7: mworld,SV2: mworld] :
( ( ( ! [SY436: mworld] :
( ~ ( mrel @ ( sK8_SY431 @ SV2 @ SV7 @ SV5 @ SV9 @ SV12 ) @ SY436 )
| ( f @ SV9 @ SV9 @ SY436 ) ) )
= $true )
| ( ( f @ SV9 @ SV5 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $false )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(129,plain,
! [SV5: $i,SV2: mworld,SV7: mworld,SV11: mworld,SV9: $i,SV16: mworld] :
( ( ( ! [SY435: mworld] :
( ~ ( mrel @ SV16 @ SY435 )
| ( f @ SV9 @ SV9 @ SY435 ) ) )
= $false )
| ( ( mrel @ SV11 @ SV16 )
= $false )
| ( ( mrel @ SV11 @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(130,plain,
! [SV9: $i,SV11: mworld,SV5: $i,SV2: mworld,SV7: mworld,SV14: mworld] :
( ( ( ~ ( mrel @ SV14 @ ( sK10_SY434 @ SV7 @ SV2 @ SV5 @ SV11 @ SV9 @ SV14 ) )
| ( f @ SV9 @ SV9 @ ( sK10_SY434 @ SV7 @ SV2 @ SV5 @ SV11 @ SV9 @ SV14 ) ) )
= $false )
| ( ( mrel @ SV11 @ SV14 )
= $false )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $false )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[124]) ).
thf(131,plain,
! [SV9: $i,SV7: mworld,SV2: mworld,SV5: $i,SV12: mworld] :
( ( ( mrel @ SV12 @ ( sK9_SY431 @ SV5 @ SV2 @ SV7 @ SV9 @ SV12 ) )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(132,plain,
! [SV12: mworld,SV9: $i,SV7: mworld,SV2: mworld,SV5: $i] :
( ( ( ! [SY437: mworld] :
( ~ ( mrel @ ( sK9_SY431 @ SV5 @ SV2 @ SV7 @ SV9 @ SV12 ) @ SY437 )
| ( f @ SV9 @ SV9 @ SY437 ) ) )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(133,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV17: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV17 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SV17 ) )
= $true )
| ( ( f @ SV9 @ SV5 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $false )
| ( ( mrel @ SV12 @ ( sK8_SY431 @ SV2 @ SV7 @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(134,plain,
! [SV18: mworld,SV12: mworld,SV9: $i,SV5: $i,SV7: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY431 @ SV2 @ SV7 @ SV5 @ SV9 @ SV12 ) @ SV18 )
| ( f @ SV9 @ SV9 @ SV18 ) )
= $true )
| ( ( f @ SV9 @ SV5 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $false )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(135,plain,
! [SV9: $i,SV11: mworld,SV7: mworld,SV2: mworld,SV5: $i,SV16: mworld] :
( ( ( ~ ( mrel @ SV16 @ ( sK11_SY435 @ SV5 @ SV2 @ SV7 @ SV11 @ SV9 @ SV16 ) )
| ( f @ SV9 @ SV9 @ ( sK11_SY435 @ SV5 @ SV2 @ SV7 @ SV11 @ SV9 @ SV16 ) ) )
= $false )
| ( ( mrel @ SV11 @ SV16 )
= $false )
| ( ( mrel @ SV11 @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[129]) ).
thf(136,plain,
! [SV9: $i,SV11: mworld,SV5: $i,SV2: mworld,SV7: mworld,SV14: mworld] :
( ( ( ~ ( mrel @ SV14 @ ( sK10_SY434 @ SV7 @ SV2 @ SV5 @ SV11 @ SV9 @ SV14 ) ) )
= $false )
| ( ( mrel @ SV11 @ SV14 )
= $false )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $false )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(137,plain,
! [SV14: mworld,SV11: mworld,SV5: $i,SV2: mworld,SV7: mworld,SV9: $i] :
( ( ( f @ SV9 @ SV9 @ ( sK10_SY434 @ SV7 @ SV2 @ SV5 @ SV11 @ SV9 @ SV14 ) )
= $false )
| ( ( mrel @ SV11 @ SV14 )
= $false )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $false )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(138,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV19: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV19 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SV19 ) )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( mrel @ SV12 @ ( sK9_SY431 @ SV5 @ SV2 @ SV7 @ SV9 @ SV12 ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(139,plain,
! [SV20: mworld,SV12: mworld,SV9: $i,SV7: mworld,SV2: mworld,SV5: $i] :
( ( ( ~ ( mrel @ ( sK9_SY431 @ SV5 @ SV2 @ SV7 @ SV9 @ SV12 ) @ SV20 )
| ( f @ SV9 @ SV9 @ SV20 ) )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(140,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV17: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV17 ) )
= $true )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SV17 )
= $true )
| ( ( f @ SV9 @ SV5 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $false )
| ( ( mrel @ SV12 @ ( sK8_SY431 @ SV2 @ SV7 @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(141,plain,
! [SV18: mworld,SV12: mworld,SV9: $i,SV5: $i,SV7: mworld,SV2: mworld] :
( ( ( ~ ( mrel @ ( sK8_SY431 @ SV2 @ SV7 @ SV5 @ SV9 @ SV12 ) @ SV18 ) )
= $true )
| ( ( f @ SV9 @ SV9 @ SV18 )
= $true )
| ( ( f @ SV9 @ SV5 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $false )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(142,plain,
! [SV9: $i,SV11: mworld,SV7: mworld,SV2: mworld,SV5: $i,SV16: mworld] :
( ( ( ~ ( mrel @ SV16 @ ( sK11_SY435 @ SV5 @ SV2 @ SV7 @ SV11 @ SV9 @ SV16 ) ) )
= $false )
| ( ( mrel @ SV11 @ SV16 )
= $false )
| ( ( mrel @ SV11 @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(143,plain,
! [SV16: mworld,SV11: mworld,SV7: mworld,SV2: mworld,SV5: $i,SV9: $i] :
( ( ( f @ SV9 @ SV9 @ ( sK11_SY435 @ SV5 @ SV2 @ SV7 @ SV11 @ SV9 @ SV16 ) )
= $false )
| ( ( mrel @ SV11 @ SV16 )
= $false )
| ( ( mrel @ SV11 @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(144,plain,
! [SV9: $i,SV11: mworld,SV5: $i,SV2: mworld,SV7: mworld,SV14: mworld] :
( ( ( mrel @ SV14 @ ( sK10_SY434 @ SV7 @ SV2 @ SV5 @ SV11 @ SV9 @ SV14 ) )
= $true )
| ( ( mrel @ SV11 @ SV14 )
= $false )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $false )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(145,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV19: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV19 ) )
= $true )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SV19 )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( mrel @ SV12 @ ( sK9_SY431 @ SV5 @ SV2 @ SV7 @ SV9 @ SV12 ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(146,plain,
! [SV20: mworld,SV12: mworld,SV9: $i,SV7: mworld,SV2: mworld,SV5: $i] :
( ( ( ~ ( mrel @ ( sK9_SY431 @ SV5 @ SV2 @ SV7 @ SV9 @ SV12 ) @ SV20 ) )
= $true )
| ( ( f @ SV9 @ SV9 @ SV20 )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(147,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV17: mworld,SV12: mworld] :
( ( ( mrel @ SV12 @ SV17 )
= $false )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SV17 )
= $true )
| ( ( f @ SV9 @ SV5 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $false )
| ( ( mrel @ SV12 @ ( sK8_SY431 @ SV2 @ SV7 @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(148,plain,
! [SV18: mworld,SV12: mworld,SV9: $i,SV5: $i,SV7: mworld,SV2: mworld] :
( ( ( mrel @ ( sK8_SY431 @ SV2 @ SV7 @ SV5 @ SV9 @ SV12 ) @ SV18 )
= $false )
| ( ( f @ SV9 @ SV9 @ SV18 )
= $true )
| ( ( f @ SV9 @ SV5 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $false )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(149,plain,
! [SV9: $i,SV11: mworld,SV7: mworld,SV2: mworld,SV5: $i,SV16: mworld] :
( ( ( mrel @ SV16 @ ( sK11_SY435 @ SV5 @ SV2 @ SV7 @ SV11 @ SV9 @ SV16 ) )
= $true )
| ( ( mrel @ SV11 @ SV16 )
= $false )
| ( ( mrel @ SV11 @ ( sK6_SY426 @ SV7 @ SV2 @ SV5 @ SV9 @ SV11 ) )
= $true )
| ( ( mrel @ SV7 @ SV11 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(150,plain,
! [SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV19: mworld,SV12: mworld] :
( ( ( mrel @ SV12 @ SV19 )
= $false )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SV19 )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( mrel @ SV12 @ ( sK9_SY431 @ SV5 @ SV2 @ SV7 @ SV9 @ SV12 ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(151,plain,
! [SV20: mworld,SV12: mworld,SV9: $i,SV7: mworld,SV2: mworld,SV5: $i] :
( ( ( mrel @ ( sK9_SY431 @ SV5 @ SV2 @ SV7 @ SV9 @ SV12 ) @ SV20 )
= $false )
| ( ( f @ SV9 @ SV9 @ SV20 )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( ! [SY433: mworld] :
( ~ ( mrel @ SV12 @ SY433 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SY433 ) ) )
= $true )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(152,plain,
! [SV18: mworld,SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV21: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV21 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SV21 ) )
= $true )
| ( ( f @ SV9 @ SV5 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $false )
| ( ( f @ SV9 @ SV9 @ SV18 )
= $true )
| ( ( mrel @ ( sK8_SY431 @ SV2 @ SV7 @ SV5 @ SV9 @ SV12 ) @ SV18 )
= $false )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(153,plain,
! [SV20: mworld,SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV22: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV22 )
| ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SV22 ) )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( f @ SV9 @ SV9 @ SV20 )
= $true )
| ( ( mrel @ ( sK9_SY431 @ SV5 @ SV2 @ SV7 @ SV9 @ SV12 ) @ SV20 )
= $false )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(154,plain,
! [SV18: mworld,SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV21: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV21 ) )
= $true )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SV21 )
= $true )
| ( ( f @ SV9 @ SV5 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $false )
| ( ( f @ SV9 @ SV9 @ SV18 )
= $true )
| ( ( mrel @ ( sK8_SY431 @ SV2 @ SV7 @ SV5 @ SV9 @ SV12 ) @ SV18 )
= $false )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(155,plain,
! [SV20: mworld,SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV22: mworld,SV12: mworld] :
( ( ( ~ ( mrel @ SV12 @ SV22 ) )
= $true )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SV22 )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( f @ SV9 @ SV9 @ SV20 )
= $true )
| ( ( mrel @ ( sK9_SY431 @ SV5 @ SV2 @ SV7 @ SV9 @ SV12 ) @ SV20 )
= $false )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(156,plain,
! [SV18: mworld,SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV21: mworld,SV12: mworld] :
( ( ( mrel @ SV12 @ SV21 )
= $false )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SV21 )
= $true )
| ( ( f @ SV9 @ SV5 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $false )
| ( ( f @ SV9 @ SV9 @ SV18 )
= $true )
| ( ( mrel @ ( sK8_SY431 @ SV2 @ SV7 @ SV5 @ SV9 @ SV12 ) @ SV18 )
= $false )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(157,plain,
! [SV20: mworld,SV7: mworld,SV2: mworld,SV5: $i,SV9: $i,SV22: mworld,SV12: mworld] :
( ( ( mrel @ SV12 @ SV22 )
= $false )
| ( ( f @ SV9 @ ( sK5_SY374 @ SV5 @ SV2 ) @ SV22 )
= $true )
| ( ( mrel @ SV12 @ ( sK7_SY430 @ SV7 @ SV2 @ SV5 @ SV9 @ SV12 ) )
= $true )
| ( ( f @ SV9 @ SV9 @ SV20 )
= $true )
| ( ( mrel @ ( sK9_SY431 @ SV5 @ SV2 @ SV7 @ SV9 @ SV12 ) @ SV20 )
= $false )
| ( ( mrel @ SV7 @ SV12 )
= $false )
| ( ( eiw_di @ SV9 @ SV7 )
= $false )
| ( ( mrel @ SV2 @ SV7 )
= $false )
| ( ( eiw_di @ SV5 @ SV2 )
= $false )
| ( ( mrel @ sK1_SY288 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(158,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[16,157,156,150,149,147,144,143,137,122,117,70,54,49,35,34,25]) ).
thf(159,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL960^12 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.18 % Computer : n003.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Oct 6 12:39:39 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.36
% 0.53/0.36 No.of.Axioms: 2
% 0.53/0.36
% 0.53/0.36 Length.of.Defs: 1653
% 0.53/0.36
% 0.53/0.36 Contains.Choice.Funs: false
% 0.53/0.36 ............
% 0.53/0.36
% 0.53/0.36 ********************************
% 0.53/0.36 * All subproblems solved! *
% 0.53/0.36 ********************************
% 0.53/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:4,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:158,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.53/0.36
% 0.53/0.36 %**** Beginning of derivation protocol ****
% 0.53/0.36 % SZS output start CNFRefutation
% See solution above
% 0.53/0.37
% 0.53/0.37 %**** End of derivation protocol ****
% 0.53/0.37 %**** no. of clauses in derivation: 159 ****
% 0.53/0.37 %**** clause counter: 158 ****
% 0.53/0.37
% 0.53/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:4,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:158,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------