TSTP Solution File: SYO903^10 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO903^10 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:09:39 EDT 2024
% Result : Theorem 0.21s 0.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 51
% Syntax : Number of formulae : 362 ( 61 unt; 17 typ; 0 def)
% Number of atoms : 4713 (1022 equ; 0 cnn)
% Maximal formula atoms : 16 ( 13 avg)
% Number of connectives : 6029 ( 354 ~; 949 |; 0 &;3852 @)
% ( 19 <=>; 479 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 186 ( 186 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 34 usr; 24 con; 0-3 aty)
% ( 376 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 1032 ( 664 ^ 368 !; 0 ?;1032 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mworld: $tType ).
thf(func_def_0,type,
mworld: $tType ).
thf(func_def_1,type,
mrel: mworld > mworld > $o ).
thf(func_def_2,type,
mactual: mworld ).
thf(func_def_3,type,
mlocal: ( mworld > $o ) > $o ).
thf(func_def_5,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(func_def_6,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_7,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_8,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_9,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_10,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(func_def_11,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(func_def_12,type,
v1: mworld > $o ).
thf(func_def_13,type,
v2: mworld > $o ).
thf(func_def_14,type,
v3: mworld > $o ).
thf(func_def_15,type,
v4: mworld > $o ).
thf(func_def_30,type,
sK1: mworld ).
thf(f1569,plain,
$false,
inference(avatar_sat_refutation,[],[f1199,f1219,f1263,f1277,f1279,f1286,f1288,f1291,f1297,f1300,f1309,f1316,f1331,f1338,f1359,f1381,f1406,f1447,f1453,f1472,f1477,f1480,f1525,f1562,f1568]) ).
thf(f1568,plain,
~ spl0_25,
inference(avatar_contradiction_clause,[],[f1567]) ).
thf(f1567,plain,
( $false
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f1564]) ).
thf(f1564,plain,
( ( $false = $true )
| ~ spl0_25 ),
inference(superposition,[],[f222,f1471]) ).
thf(f1471,plain,
( ( ( mrel @ mactual @ mactual )
= $false )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f1469]) ).
thf(f1469,plain,
( spl0_25
<=> ( ( mrel @ mactual @ mactual )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
thf(f222,plain,
! [X0: mworld] :
( ( mrel @ X0 @ X0 )
= $true ),
inference(cnf_transformation,[],[f142]) ).
thf(f142,plain,
! [X0: mworld] :
( ( mrel @ X0 @ X0 )
= $true ),
inference(fool_elimination,[],[f141]) ).
thf(f141,plain,
! [X0: mworld] : ( mrel @ X0 @ X0 ),
inference(rectify,[],[f9]) ).
thf(f9,axiom,
! [X2: mworld] : ( mrel @ X2 @ X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(f1562,plain,
( spl0_25
| spl0_15
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1561,f1240,f1228,f1469]) ).
thf(f1228,plain,
( spl0_15
<=> ( ( v4 @ mactual )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
thf(f1240,plain,
( spl0_18
<=> ! [X4: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( v4 @ X4 ) )
| ( ( mrel @ X1 @ X4 )
= $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
thf(f1561,plain,
( ( ( mrel @ mactual @ mactual )
= $false )
| spl0_15
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f1554,f1229]) ).
thf(f1229,plain,
( ( ( v4 @ mactual )
!= $true )
| spl0_15 ),
inference(avatar_component_clause,[],[f1228]) ).
thf(f1554,plain,
( ( ( v4 @ mactual )
= $true )
| ( ( mrel @ mactual @ mactual )
= $false )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1553]) ).
thf(f1553,plain,
( ( ( v4 @ mactual )
= $true )
| ( $false != $false )
| ( ( mrel @ mactual @ mactual )
= $false )
| ~ spl0_18 ),
inference(equality_factoring,[],[f1241]) ).
thf(f1241,plain,
( ! [X1: mworld,X4: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( v4 @ X4 ) )
| ( ( mrel @ X1 @ X4 )
= $false ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f1240]) ).
thf(f1525,plain,
( spl0_5
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1524]) ).
thf(f1524,plain,
( $false
| spl0_5
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f1518,f1190]) ).
thf(f1190,plain,
( ( $false
!= ( v3 @ mactual ) )
| spl0_5 ),
inference(avatar_component_clause,[],[f1189]) ).
thf(f1189,plain,
( spl0_5
<=> ( $false
= ( v3 @ mactual ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f1518,plain,
( ( $false
= ( v3 @ mactual ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f1517]) ).
thf(f1517,plain,
( ( $false
= ( v3 @ mactual ) )
| ( $false = $true )
| ~ spl0_23 ),
inference(superposition,[],[f222,f1266]) ).
thf(f1266,plain,
( ! [X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v3 @ X1 ) ) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f1265]) ).
thf(f1265,plain,
( spl0_23
<=> ! [X1: mworld] :
( ( $false
= ( v3 @ X1 ) )
| ( $false
= ( mrel @ mactual @ X1 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
thf(f1480,plain,
( spl0_25
| ~ spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f1479,f1236,f1204,f1469]) ).
thf(f1204,plain,
( spl0_9
<=> ! [X4: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v4 @ X4 ) )
| ( ( mrel @ X1 @ X4 )
= $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
thf(f1236,plain,
( spl0_17
<=> ( ( v4 @ mactual )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
thf(f1479,plain,
( ( ( mrel @ mactual @ mactual )
= $false )
| ~ spl0_9
| spl0_17 ),
inference(subsumption_resolution,[],[f1412,f1237]) ).
thf(f1237,plain,
( ( ( v4 @ mactual )
!= $false )
| spl0_17 ),
inference(avatar_component_clause,[],[f1236]) ).
thf(f1412,plain,
( ( ( v4 @ mactual )
= $false )
| ( ( mrel @ mactual @ mactual )
= $false )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f1411]) ).
thf(f1411,plain,
( ( ( v4 @ mactual )
= $false )
| ( $false != $false )
| ( ( mrel @ mactual @ mactual )
= $false )
| ~ spl0_9 ),
inference(equality_factoring,[],[f1205]) ).
thf(f1205,plain,
( ! [X1: mworld,X4: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v4 @ X4 ) )
| ( ( mrel @ X1 @ X4 )
= $false ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f1204]) ).
thf(f1477,plain,
( spl0_6
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1460,f1243,f1193]) ).
thf(f1193,plain,
( spl0_6
<=> ( ( v1 @ mactual )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f1243,plain,
( spl0_19
<=> ! [X3: mworld] :
( ( $false
= ( mrel @ mactual @ X3 ) )
| ( ( v1 @ X3 )
= $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
thf(f1460,plain,
( ( ( v1 @ mactual )
= $true )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f1457]) ).
thf(f1457,plain,
( ( $false = $true )
| ( ( v1 @ mactual )
= $true )
| ~ spl0_19 ),
inference(superposition,[],[f222,f1244]) ).
thf(f1244,plain,
( ! [X3: mworld] :
( ( $false
= ( mrel @ mactual @ X3 ) )
| ( ( v1 @ X3 )
= $true ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f1243]) ).
thf(f1472,plain,
( spl0_25
| spl0_12
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1430,f1212,f1216,f1469]) ).
thf(f1216,plain,
( spl0_12
<=> ( $false
= ( v1 @ mactual ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
thf(f1212,plain,
( spl0_11
<=> ! [X2: mworld,X3: mworld] :
( ( ( v1 @ X3 )
= $false )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( $false
= ( mrel @ X2 @ X3 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
thf(f1430,plain,
( ( $false
= ( v1 @ mactual ) )
| ( ( mrel @ mactual @ mactual )
= $false )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1425]) ).
thf(f1425,plain,
( ( $false
= ( v1 @ mactual ) )
| ( ( mrel @ mactual @ mactual )
= $false )
| ( $false != $false )
| ~ spl0_11 ),
inference(equality_factoring,[],[f1213]) ).
thf(f1213,plain,
( ! [X2: mworld,X3: mworld] :
( ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( v1 @ X3 )
= $false )
| ( $false
= ( mrel @ X2 @ X3 ) ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f1212]) ).
thf(f1453,plain,
( ~ spl0_1
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1452]) ).
thf(f1452,plain,
( $false
| ~ spl0_1
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f1448]) ).
thf(f1448,plain,
( ( $false = $true )
| ~ spl0_1
| ~ spl0_20 ),
inference(superposition,[],[f1177,f1249]) ).
thf(f1249,plain,
( ( ( v2 @ mactual )
= $false )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f1247]) ).
thf(f1247,plain,
( spl0_20
<=> ( ( v2 @ mactual )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
thf(f1177,plain,
( ( ( v2 @ mactual )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1175]) ).
thf(f1175,plain,
( spl0_1
<=> ( ( v2 @ mactual )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f1447,plain,
( spl0_19
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1441,f1232,f1243]) ).
thf(f1232,plain,
( spl0_16
<=> ! [X1: mworld,X3: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( mrel @ X1 @ X3 )
= $false )
| ( ( v1 @ X3 )
= $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
thf(f1441,plain,
( ! [X0: mworld] :
( ( ( v1 @ X0 )
= $true )
| ( ( mrel @ mactual @ X0 )
= $false ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f1435]) ).
thf(f1435,plain,
( ! [X0: mworld] :
( ( $false = $true )
| ( ( v1 @ X0 )
= $true )
| ( ( mrel @ mactual @ X0 )
= $false ) )
| ~ spl0_16 ),
inference(superposition,[],[f1233,f222]) ).
thf(f1233,plain,
( ! [X3: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v1 @ X3 )
= $true )
| ( ( mrel @ X1 @ X3 )
= $false ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f1232]) ).
thf(f1406,plain,
( spl0_23
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1402,f1197,f1265]) ).
thf(f1197,plain,
( spl0_7
<=> ! [X2: mworld,X1: mworld] :
( ( ( v3 @ X2 )
= $false )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X1 @ X2 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
thf(f1402,plain,
( ! [X0: mworld] :
( ( ( mrel @ mactual @ X0 )
= $false )
| ( ( v3 @ X0 )
= $false ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f1397]) ).
thf(f1397,plain,
( ! [X0: mworld] :
( ( $false = $true )
| ( ( v3 @ X0 )
= $false )
| ( ( mrel @ mactual @ X0 )
= $false ) )
| ~ spl0_7 ),
inference(superposition,[],[f222,f1198]) ).
thf(f1198,plain,
( ! [X2: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v3 @ X2 )
= $false )
| ( $false
= ( mrel @ X1 @ X2 ) ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f1197]) ).
thf(f1381,plain,
( spl0_10
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1376,f1179,f1208]) ).
thf(f1208,plain,
( spl0_10
<=> ! [X1: mworld] :
( ( $true
= ( v3 @ X1 ) )
| ( $false
= ( mrel @ mactual @ X1 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
thf(f1179,plain,
( spl0_2
<=> ! [X2: mworld,X5: mworld] :
( ( ( v3 @ X5 )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( mrel @ X2 @ X5 )
= $false ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f1376,plain,
( ! [X0: mworld] :
( ( ( mrel @ mactual @ X0 )
= $false )
| ( ( v3 @ X0 )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f1372]) ).
thf(f1372,plain,
( ! [X0: mworld] :
( ( ( mrel @ mactual @ X0 )
= $false )
| ( $false = $true )
| ( ( v3 @ X0 )
= $true ) )
| ~ spl0_2 ),
inference(superposition,[],[f222,f1180]) ).
thf(f1180,plain,
( ! [X2: mworld,X5: mworld] :
( ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( mrel @ X2 @ X5 )
= $false )
| ( ( v3 @ X5 )
= $true ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f1179]) ).
thf(f1359,plain,
( ~ spl0_10
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f1358]) ).
thf(f1358,plain,
( $false
| ~ spl0_10
| spl0_14 ),
inference(subsumption_resolution,[],[f1353,f1225]) ).
thf(f1225,plain,
( ( ( v3 @ mactual )
!= $true )
| spl0_14 ),
inference(avatar_component_clause,[],[f1224]) ).
thf(f1224,plain,
( spl0_14
<=> ( ( v3 @ mactual )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
thf(f1353,plain,
( ( ( v3 @ mactual )
= $true )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f1348]) ).
thf(f1348,plain,
( ( ( v3 @ mactual )
= $true )
| ( $false = $true )
| ~ spl0_10 ),
inference(superposition,[],[f1209,f222]) ).
thf(f1209,plain,
( ! [X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( v3 @ X1 ) ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f1208]) ).
thf(f1338,plain,
( ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1337]) ).
thf(f1337,plain,
( $false
| ~ spl0_15
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f1333]) ).
thf(f1333,plain,
( ( $false = $true )
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f1238,f1230]) ).
thf(f1230,plain,
( ( ( v4 @ mactual )
= $true )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f1228]) ).
thf(f1238,plain,
( ( ( v4 @ mactual )
= $false )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f1236]) ).
thf(f1331,plain,
( spl0_12
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1324,f1185,f1216]) ).
thf(f1185,plain,
( spl0_4
<=> ! [X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v1 @ X1 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f1324,plain,
( ( $false
= ( v1 @ mactual ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f1318]) ).
thf(f1318,plain,
( ( $false
= ( v1 @ mactual ) )
| ( $false = $true )
| ~ spl0_4 ),
inference(superposition,[],[f1186,f222]) ).
thf(f1186,plain,
( ! [X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v1 @ X1 ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f1185]) ).
thf(f1316,plain,
( ~ spl0_5
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1315]) ).
thf(f1315,plain,
( $false
| ~ spl0_5
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f1311]) ).
thf(f1311,plain,
( ( $false = $true )
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f1226,f1191]) ).
thf(f1191,plain,
( ( $false
= ( v3 @ mactual ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f1189]) ).
thf(f1226,plain,
( ( ( v3 @ mactual )
= $true )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f1224]) ).
thf(f1309,plain,
( ~ spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1308]) ).
thf(f1308,plain,
( $false
| ~ spl0_6
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1305]) ).
thf(f1305,plain,
( ( $false = $true )
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f1195,f1218]) ).
thf(f1218,plain,
( ( $false
= ( v1 @ mactual ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f1216]) ).
thf(f1195,plain,
( ( ( v1 @ mactual )
= $true )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f1193]) ).
thf(f1300,plain,
( spl0_10
| spl0_20
| spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f373,f1216,f1212,f1247,f1208]) ).
thf(f373,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( v1 @ X3 )
= $false )
| ( $true
= ( v3 @ X1 ) )
| ( $false
= ( v1 @ mactual ) )
| ( $false
= ( mrel @ X2 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v2 @ mactual )
= $false )
| ( $false
= ( mrel @ mactual @ X2 ) ) ),
inference(not_proxy_clausification,[],[f372]) ).
thf(f372,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $true
= ( v3 @ X1 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v2 @ mactual )
= $false )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( $false
= ( mrel @ X2 @ X3 ) )
| ( $false
= ( v1 @ mactual ) )
| ( ( ~ ( v1 @ X3 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f371]) ).
thf(f371,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( ( mrel @ X2 @ X3 )
=> ~ ( v1 @ X3 ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( v3 @ X1 ) )
| ( $false
= ( v1 @ mactual ) )
| ( $false
= ( mrel @ mactual @ X2 ) ) ),
inference(beta_eta_normalization,[],[f370]) ).
thf(f370,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( v2 @ mactual )
= $false )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v1 @ mactual ) )
| ( ( ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ~ ( v1 @ Y0 ) )
@ X3 )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( $true
= ( v3 @ X1 ) ) ),
inference(pi_clausification,[],[f369]) ).
thf(f369,plain,
! [X2: mworld,X1: mworld] :
( ( $true
= ( v3 @ X1 ) )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v2 @ mactual )
= $false )
| ( $false
= ( v1 @ mactual ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ~ ( v1 @ Y0 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f368]) ).
thf(f368,plain,
! [X2: mworld,X1: mworld] :
( ( ( v2 @ mactual )
= $false )
| ( $true
= ( v3 @ X1 ) )
| ( $false
= ( v1 @ mactual ) )
| ( ( ( mrel @ mactual @ X2 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ~ ( v1 @ Y0 ) ) ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(beta_eta_normalization,[],[f367]) ).
thf(f367,plain,
! [X2: mworld,X1: mworld] :
( ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) )
@ X2 )
= $true )
| ( $true
= ( v3 @ X1 ) )
| ( ( v2 @ mactual )
= $false )
| ( $false
= ( v1 @ mactual ) )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(pi_clausification,[],[f366]) ).
thf(f366,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v1 @ mactual ) )
| ( ( v2 @ mactual )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) ) )
= $true )
| ( $true
= ( v3 @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f365]) ).
thf(f365,plain,
! [X1: mworld] :
( ( ( ( mrel @ mactual @ X1 )
=> ( v3 @ X1 ) )
= $true )
| ( $false
= ( v1 @ mactual ) )
| ( ( v2 @ mactual )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f364]) ).
thf(f364,plain,
! [X1: mworld] :
( ( ( ~ ( v2 @ mactual ) )
= $true )
| ( $false
= ( v1 @ mactual ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) ) )
= $true )
| ( ( ( mrel @ mactual @ X1 )
=> ( v3 @ X1 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f363]) ).
thf(f363,plain,
! [X1: mworld] :
( ( ( ~ ( v2 @ mactual ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) ) )
= $true )
| ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v3 @ Y0 ) )
@ X1 )
= $true )
| ( $false
= ( v1 @ mactual ) ) ),
inference(pi_clausification,[],[f362]) ).
thf(f362,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v3 @ Y0 ) ) )
= $true )
| ( ( ~ ( v2 @ mactual ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) ) )
= $true )
| ( $false
= ( v1 @ mactual ) ) ),
inference(binary_proxy_clausification,[],[f361]) ).
thf(f361,plain,
( ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v3 @ Y0 ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) ) ) )
= $true )
| ( $false
= ( v1 @ mactual ) )
| ( ( ~ ( v2 @ mactual ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f360]) ).
thf(f360,plain,
( ( $false
= ( v1 @ mactual ) )
| ( ( ~ ( v2 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v3 @ Y0 ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f359]) ).
thf(f359,plain,
( ( $true
= ( ~ ( v1 @ mactual ) ) )
| ( ( ~ ( v2 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v3 @ Y0 ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f358]) ).
thf(f358,plain,
( ( ~ ( v1 @ mactual )
| ~ ( v2 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( v3 @ Y0 ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f274]) ).
thf(f274,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v1 )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v2 )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ v3 )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v1 ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f217,f214,f207,f212,f207,f212,f207,f220,f220,f220,f212]) ).
thf(f220,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f162]) ).
thf(f162,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f161]) ).
thf(f161,plain,
( mbox
= ( ^ [X0: mworld > $o,X1: mworld] :
! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f7,axiom,
( mbox
= ( ^ [X0: mworld > $o,X2: mworld] :
! [X4: mworld] :
( ( mrel @ X2 @ X4 )
=> ( X0 @ X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).
thf(f212,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f156]) ).
thf(f156,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f155]) ).
thf(f155,plain,
( mnot
= ( ^ [X0: mworld > $o,X1: mworld] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
( mnot
= ( ^ [X1: mworld > $o,X2: mworld] :
~ ( X1 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot_def) ).
thf(f207,plain,
( mor
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f106]) ).
thf(f106,plain,
( mor
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f105]) ).
thf(f105,plain,
( mor
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
( mor
= ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
( ( X3 @ X2 )
| ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor_def) ).
thf(f214,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f177]) ).
thf(f177,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f1,axiom,
( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
= mlocal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).
thf(f217,plain,
( ( mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mbox @ v3 ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f96]) ).
thf(f96,plain,
( ( mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mbox @ v3 ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f95]) ).
thf(f95,plain,
mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mbox @ v3 ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ),
inference(rectify,[],[f43]) ).
thf(f43,axiom,
mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mbox @ v3 ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat33) ).
thf(f1297,plain,
( spl0_2
| spl0_9
| spl0_17
| spl0_14 ),
inference(avatar_split_clause,[],[f433,f1224,f1236,f1204,f1179]) ).
thf(f433,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( ( v3 @ mactual )
= $true )
| ( $false
= ( v4 @ X4 ) )
| ( $false
= ( mrel @ mactual @ X3 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v3 @ X2 )
= $true )
| ( ( mrel @ X3 @ X4 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( $false
= ( mrel @ X1 @ X2 ) ) ),
inference(not_proxy_clausification,[],[f432]) ).
thf(f432,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( mrel @ X3 @ X4 )
= $false )
| ( ( v3 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X3 ) )
| ( $false
= ( mrel @ X1 @ X2 ) )
| ( ( v4 @ mactual )
= $false )
| ( ( ~ ( v4 @ X4 ) )
= $true )
| ( ( v3 @ X2 )
= $true ) ),
inference(binary_proxy_clausification,[],[f431]) ).
thf(f431,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( ( v3 @ X2 )
= $true )
| ( $false
= ( mrel @ mactual @ X3 ) )
| ( $true
= ( ( mrel @ X3 @ X4 )
=> ~ ( v4 @ X4 ) ) )
| ( ( v4 @ mactual )
= $false )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X1 @ X2 ) )
| ( ( v3 @ mactual )
= $true ) ),
inference(beta_eta_normalization,[],[f430]) ).
thf(f430,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( $false
= ( mrel @ mactual @ X3 ) )
| ( $false
= ( mrel @ X1 @ X2 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v3 @ mactual )
= $true )
| ( $true
= ( ^ [Y0: mworld] :
( ( mrel @ X3 @ Y0 )
=> ~ ( v4 @ Y0 ) )
@ X4 ) )
| ( ( v3 @ X2 )
= $true )
| ( ( v4 @ mactual )
= $false ) ),
inference(pi_clausification,[],[f429]) ).
thf(f429,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( v3 @ mactual )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X3 @ Y0 )
=> ~ ( v4 @ Y0 ) ) )
= $true )
| ( $false
= ( mrel @ X1 @ X2 ) )
| ( ( v4 @ mactual )
= $false )
| ( $false
= ( mrel @ mactual @ X3 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v3 @ X2 )
= $true ) ),
inference(binary_proxy_clausification,[],[f428]) ).
thf(f428,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v3 @ X2 )
= $true )
| ( $false
= ( mrel @ X1 @ X2 ) )
| ( ( ( mrel @ mactual @ X3 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X3 @ Y0 )
=> ~ ( v4 @ Y0 ) ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f427]) ).
thf(f427,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $false
= ( mrel @ X1 @ X2 ) )
| ( ( v3 @ X2 )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v4 @ Y1 ) ) ) )
@ X3 )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(pi_clausification,[],[f426]) ).
thf(f426,plain,
! [X2: mworld,X1: mworld] :
( ( ( v3 @ X2 )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v4 @ Y1 ) ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( $false
= ( mrel @ X1 @ X2 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v4 @ mactual )
= $false ) ),
inference(binary_proxy_clausification,[],[f425]) ).
thf(f425,plain,
! [X2: mworld,X1: mworld] :
( ( ( v3 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v4 @ mactual )
= $false )
| ( $true
= ( ( mrel @ X1 @ X2 )
=> ( v3 @ X2 ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v4 @ Y1 ) ) ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f424]) ).
thf(f424,plain,
! [X2: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v3 @ mactual )
= $true )
| ( ( ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( v3 @ Y0 ) )
@ X2 )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v4 @ Y1 ) ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false ) ),
inference(pi_clausification,[],[f423]) ).
thf(f423,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v4 @ mactual )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( v3 @ Y0 ) ) )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v4 @ Y1 ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f422]) ).
thf(f422,plain,
! [X1: mworld] :
( ( ( v3 @ mactual )
= $true )
| ( ( ( mrel @ mactual @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( v3 @ Y0 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v4 @ Y1 ) ) ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f421]) ).
thf(f421,plain,
! [X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v4 @ Y1 ) ) ) ) )
= $true )
| ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) )
@ X1 )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( v3 @ mactual )
= $true ) ),
inference(pi_clausification,[],[f420]) ).
thf(f420,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v4 @ Y1 ) ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(binary_proxy_clausification,[],[f419]) ).
thf(f419,plain,
( ( ( v3 @ mactual )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v4 @ Y1 ) ) ) ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f418]) ).
thf(f418,plain,
( ( ( ~ ( v4 @ mactual ) )
= $true )
| ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v4 @ Y1 ) ) ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(binary_proxy_clausification,[],[f417]) ).
thf(f417,plain,
( ( $true
= ( ~ ( v4 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v4 @ Y1 ) ) ) ) ) ) )
| ( ( v3 @ mactual )
= $true ) ),
inference(binary_proxy_clausification,[],[f416]) ).
thf(f416,plain,
( ( ( v3 @ mactual )
| ~ ( v4 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v4 @ Y1 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f295]) ).
thf(f295,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ v3
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v4 )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ v3 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v4 ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f242,f214,f207,f207,f212,f207,f220,f220,f220,f220,f212]) ).
thf(f242,plain,
( ( mlocal @ ( mor @ v3 @ ( mor @ ( mnot @ v4 ) @ ( mor @ ( mbox @ ( mbox @ v3 ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f100]) ).
thf(f100,plain,
( ( mlocal @ ( mor @ v3 @ ( mor @ ( mnot @ v4 ) @ ( mor @ ( mbox @ ( mbox @ v3 ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f99]) ).
thf(f99,plain,
mlocal @ ( mor @ v3 @ ( mor @ ( mnot @ v4 ) @ ( mor @ ( mbox @ ( mbox @ v3 ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
inference(rectify,[],[f36]) ).
thf(f36,axiom,
mlocal @ ( mor @ v3 @ ( mor @ ( mnot @ v4 ) @ ( mor @ ( mbox @ ( mbox @ v3 ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat26) ).
thf(f1291,plain,
( spl0_12
| spl0_5
| spl0_23
| spl0_18 ),
inference(avatar_split_clause,[],[f535,f1240,f1265,f1189,f1216]) ).
thf(f535,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $true
= ( v4 @ X3 ) )
| ( $false
= ( v3 @ mactual ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v1 @ mactual ) )
| ( $false
= ( v3 @ X1 ) )
| ( $false
= ( mrel @ X2 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f534]) ).
thf(f534,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v3 @ X1 ) )
| ( $false
= ( v1 @ mactual ) )
| ( $false
= ( v3 @ mactual ) )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( ( mrel @ X2 @ X3 )
=> ( v4 @ X3 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f533]) ).
thf(f533,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $false
= ( v1 @ mactual ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v4 @ Y0 ) )
@ X3 )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( $false
= ( v3 @ mactual ) )
| ( $false
= ( v3 @ X1 ) ) ),
inference(pi_clausification,[],[f532]) ).
thf(f532,plain,
! [X2: mworld,X1: mworld] :
( ( $false
= ( v3 @ mactual ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v4 @ Y0 ) ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v3 @ X1 ) )
| ( $false
= ( v1 @ mactual ) )
| ( $false
= ( mrel @ mactual @ X2 ) ) ),
inference(not_proxy_clausification,[],[f531]) ).
thf(f531,plain,
! [X2: mworld,X1: mworld] :
( ( $false
= ( v3 @ X1 ) )
| ( $true
= ( ~ ( v1 @ mactual ) ) )
| ( $false
= ( v3 @ mactual ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v4 @ Y0 ) ) )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f530]) ).
thf(f530,plain,
! [X2: mworld,X1: mworld] :
( ( $false
= ( v3 @ mactual ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( ( mrel @ mactual @ X2 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v4 @ Y0 ) ) ) )
= $true )
| ( $true
= ( ~ ( v1 @ mactual ) ) )
| ( $false
= ( v3 @ X1 ) ) ),
inference(beta_eta_normalization,[],[f529]) ).
thf(f529,plain,
! [X2: mworld,X1: mworld] :
( ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) )
@ X2 )
= $true )
| ( $true
= ( ~ ( v1 @ mactual ) ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v3 @ mactual ) )
| ( $false
= ( v3 @ X1 ) ) ),
inference(pi_clausification,[],[f528]) ).
thf(f528,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v3 @ mactual ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( $true
= ( ~ ( v1 @ mactual ) ) )
| ( $false
= ( v3 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f527]) ).
thf(f527,plain,
! [X1: mworld] :
( ( ( ~ ( v3 @ mactual ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v3 @ X1 ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( $true
= ( ~ ( v1 @ mactual ) ) ) ),
inference(not_proxy_clausification,[],[f526]) ).
thf(f526,plain,
! [X1: mworld] :
( ( ( ~ ( v3 @ X1 ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( ~ ( v1 @ mactual ) ) )
| ( ( ~ ( v3 @ mactual ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f525]) ).
thf(f525,plain,
! [X1: mworld] :
( ( ( ( mrel @ mactual @ X1 )
=> ~ ( v3 @ X1 ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( $true
= ( ~ ( v1 @ mactual ) ) )
| ( ( ~ ( v3 @ mactual ) )
= $true ) ),
inference(beta_eta_normalization,[],[f524]) ).
thf(f524,plain,
! [X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( $true
= ( ~ ( v1 @ mactual ) ) )
| ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v3 @ Y0 ) )
@ X1 )
= $true )
| ( ( ~ ( v3 @ mactual ) )
= $true ) ),
inference(pi_clausification,[],[f523]) ).
thf(f523,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v3 @ Y0 ) ) )
= $true )
| ( ( ~ ( v3 @ mactual ) )
= $true )
| ( $true
= ( ~ ( v1 @ mactual ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f522]) ).
thf(f522,plain,
( ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v3 @ Y0 ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) ) )
= $true )
| ( $true
= ( ~ ( v1 @ mactual ) ) )
| ( ( ~ ( v3 @ mactual ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f521]) ).
thf(f521,plain,
( ( ( ~ ( v3 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v3 @ Y0 ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) ) )
= $true )
| ( $true
= ( ~ ( v1 @ mactual ) ) ) ),
inference(binary_proxy_clausification,[],[f520]) ).
thf(f520,plain,
( ( ~ ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v3 @ Y0 ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f273]) ).
thf(f273,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v1 )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v3 )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v3 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ v4 ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f216,f214,f207,f212,f207,f212,f207,f220,f212,f220,f220]) ).
thf(f216,plain,
( ( mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mnot @ v3 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f76]) ).
thf(f76,plain,
( ( mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mnot @ v3 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f75]) ).
thf(f75,plain,
mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mnot @ v3 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ),
inference(rectify,[],[f45]) ).
thf(f45,axiom,
mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mnot @ v3 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat35) ).
thf(f1288,plain,
( spl0_20
| spl0_18
| spl0_16
| spl0_5 ),
inference(avatar_split_clause,[],[f579,f1189,f1232,f1240,f1247]) ).
thf(f579,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( $false
= ( mrel @ X1 @ X2 ) )
| ( $true
= ( v4 @ X4 ) )
| ( ( v1 @ X2 )
= $true )
| ( $false
= ( v3 @ mactual ) )
| ( $false
= ( mrel @ mactual @ X3 ) )
| ( ( mrel @ X3 @ X4 )
= $false )
| ( ( v2 @ mactual )
= $false )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f578]) ).
thf(f578,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( $false
= ( mrel @ X1 @ X2 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v2 @ mactual )
= $false )
| ( $false
= ( mrel @ mactual @ X3 ) )
| ( ( v1 @ X2 )
= $true )
| ( ( ( mrel @ X3 @ X4 )
=> ( v4 @ X4 ) )
= $true )
| ( $false
= ( v3 @ mactual ) ) ),
inference(binary_proxy_clausification,[],[f577]) ).
thf(f577,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( ( v2 @ mactual )
= $false )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ mactual @ X3 ) )
| ( ( ( mrel @ X1 @ X2 )
=> ( v1 @ X2 ) )
= $true )
| ( $false
= ( v3 @ mactual ) )
| ( ( ( mrel @ X3 @ X4 )
=> ( v4 @ X4 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f576]) ).
thf(f576,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( ( ^ [Y0: mworld] :
( ( mrel @ X3 @ Y0 )
=> ( v4 @ Y0 ) )
@ X4 )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ mactual @ X3 ) )
| ( ( ( mrel @ X1 @ X2 )
=> ( v1 @ X2 ) )
= $true )
| ( $false
= ( v3 @ mactual ) ) ),
inference(pi_clausification,[],[f575]) ).
thf(f575,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ mactual @ X3 ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X3 @ Y0 )
=> ( v4 @ Y0 ) ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( ( ( mrel @ X1 @ X2 )
=> ( v1 @ X2 ) )
= $true )
| ( $false
= ( v3 @ mactual ) ) ),
inference(binary_proxy_clausification,[],[f574]) ).
thf(f574,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $false
= ( v3 @ mactual ) )
| ( ( v2 @ mactual )
= $false )
| ( ( ( mrel @ mactual @ X3 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X3 @ Y0 )
=> ( v4 @ Y0 ) ) ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( ( mrel @ X1 @ X2 )
=> ( v1 @ X2 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f573]) ).
thf(f573,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( v2 @ mactual )
= $false )
| ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) )
@ X3 )
= $true )
| ( $false
= ( v3 @ mactual ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( ( mrel @ X1 @ X2 )
=> ( v1 @ X2 ) )
= $true ) ),
inference(pi_clausification,[],[f572]) ).
thf(f572,plain,
! [X2: mworld,X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( ( mrel @ X1 @ X2 )
=> ( v1 @ X2 ) )
= $true )
| ( $false
= ( v3 @ mactual ) )
| ( ( v2 @ mactual )
= $false ) ),
inference(beta_eta_normalization,[],[f571]) ).
thf(f571,plain,
! [X2: mworld,X1: mworld] :
( ( $true
= ( ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( v1 @ Y0 ) )
@ X2 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v3 @ mactual ) )
| ( ( v2 @ mactual )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true ) ),
inference(pi_clausification,[],[f570]) ).
thf(f570,plain,
! [X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( v1 @ Y0 ) ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v2 @ mactual )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( $false
= ( v3 @ mactual ) ) ),
inference(binary_proxy_clausification,[],[f569]) ).
thf(f569,plain,
! [X1: mworld] :
( ( ( ( mrel @ mactual @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( v1 @ Y0 ) ) ) )
= $true )
| ( $false
= ( v3 @ mactual ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false ) ),
inference(not_proxy_clausification,[],[f568]) ).
thf(f568,plain,
! [X1: mworld] :
( ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( ( ( mrel @ mactual @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( v1 @ Y0 ) ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f567]) ).
thf(f567,plain,
! [X1: mworld] :
( ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) )
@ X1 )
= $true )
| ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true ) ),
inference(pi_clausification,[],[f566]) ).
thf(f566,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false )
| ( ( ~ ( v3 @ mactual ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f565]) ).
thf(f565,plain,
( ( ( v2 @ mactual )
= $false )
| ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) ) )
= $true )
| ( ( ~ ( v3 @ mactual ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f564]) ).
thf(f564,plain,
( ( ( ~ ( v3 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $false ) ),
inference(not_proxy_clausification,[],[f563]) ).
thf(f563,plain,
( ( ( ~ ( v2 @ mactual ) )
= $true )
| ( ( ~ ( v3 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f562]) ).
thf(f562,plain,
( ( ~ ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v1 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f287]) ).
thf(f287,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v2 )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v3 )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ v1 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ v4 ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f234,f214,f207,f212,f207,f212,f207,f220,f220,f220,f220]) ).
thf(f234,plain,
( ( mlocal @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mbox @ v1 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f152]) ).
thf(f152,plain,
( ( mlocal @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mbox @ v1 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f151]) ).
thf(f151,plain,
mlocal @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mbox @ v1 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ),
inference(rectify,[],[f50]) ).
thf(f50,axiom,
mlocal @ ( mor @ ( mnot @ v2 ) @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mbox @ v1 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat40) ).
thf(f1286,plain,
( spl0_2
| spl0_6
| spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f616,f1240,f1224,f1193,f1179]) ).
thf(f616,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( $true
= ( v4 @ X4 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v3 @ X3 )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( mrel @ X1 @ X4 )
= $false )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( $false
= ( mrel @ X2 @ X3 ) )
| ( ( v1 @ mactual )
= $true ) ),
inference(binary_proxy_clausification,[],[f615]) ).
thf(f615,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( ( ( mrel @ X1 @ X4 )
=> ( v4 @ X4 ) )
= $true )
| ( ( v3 @ X3 )
= $true )
| ( $false
= ( mrel @ X2 @ X3 ) )
| ( ( v1 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v3 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) ) ),
inference(beta_eta_normalization,[],[f614]) ).
thf(f614,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( ( v1 @ mactual )
= $true )
| ( ( ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( v4 @ Y0 ) )
@ X4 )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v3 @ X3 )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( $false
= ( mrel @ X2 @ X3 ) ) ),
inference(pi_clausification,[],[f613]) ).
thf(f613,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( v4 @ Y0 ) ) )
= $true )
| ( $false
= ( mrel @ X2 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( v3 @ X3 )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(binary_proxy_clausification,[],[f612]) ).
thf(f612,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( v3 @ mactual )
= $true )
| ( ( ( mrel @ X2 @ X3 )
=> ( v3 @ X3 ) )
= $true )
| ( ( v1 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( v4 @ Y0 ) ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(beta_eta_normalization,[],[f611]) ).
thf(f611,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X2 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v1 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v3 @ Y0 ) )
@ X3 )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( v4 @ Y0 ) ) )
= $true ) ),
inference(pi_clausification,[],[f610]) ).
thf(f610,plain,
! [X2: mworld,X1: mworld] :
( ( ( v1 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v3 @ mactual )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v3 @ Y0 ) ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( v4 @ Y0 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f609]) ).
thf(f609,plain,
! [X2: mworld,X1: mworld] :
( ( ( ( mrel @ mactual @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( v4 @ Y0 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v3 @ Y0 ) ) )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f608]) ).
thf(f608,plain,
! [X2: mworld,X1: mworld] :
( ( ( ( mrel @ mactual @ X2 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v3 @ Y0 ) ) ) )
= $true )
| ( ( ( mrel @ mactual @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( v4 @ Y0 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true ) ),
inference(beta_eta_normalization,[],[f607]) ).
thf(f607,plain,
! [X2: mworld,X1: mworld] :
( ( ( v3 @ mactual )
= $true )
| ( ( ( mrel @ mactual @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( v4 @ Y0 ) ) ) )
= $true )
| ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) )
@ X2 )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(pi_clausification,[],[f606]) ).
thf(f606,plain,
! [X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( ( mrel @ mactual @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ( v4 @ Y0 ) ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f605]) ).
thf(f605,plain,
! [X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) )
@ X1 )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(pi_clausification,[],[f604]) ).
thf(f604,plain,
( ( ( v1 @ mactual )
= $true )
| ( ( v3 @ mactual )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f603]) ).
thf(f603,plain,
( ( ( v3 @ mactual )
= $true )
| ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(binary_proxy_clausification,[],[f602]) ).
thf(f602,plain,
( ( $true
= ( ( v3 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) ) ) )
| ( ( v1 @ mactual )
= $true ) ),
inference(binary_proxy_clausification,[],[f601]) ).
thf(f601,plain,
( ( ( v1 @ mactual )
| ( v3 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v3 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f291]) ).
thf(f291,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ v1
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ v3
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ v3 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ v4 ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f238,f214,f207,f207,f207,f220,f220,f220,f220]) ).
thf(f238,plain,
( ( mlocal @ ( mor @ v1 @ ( mor @ v3 @ ( mor @ ( mbox @ ( mbox @ v3 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f90]) ).
thf(f90,plain,
( ( mlocal @ ( mor @ v1 @ ( mor @ v3 @ ( mor @ ( mbox @ ( mbox @ v3 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f89]) ).
thf(f89,plain,
mlocal @ ( mor @ v1 @ ( mor @ v3 @ ( mor @ ( mbox @ ( mbox @ v3 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ),
inference(rectify,[],[f15]) ).
thf(f15,axiom,
mlocal @ ( mor @ v1 @ ( mor @ v3 @ ( mor @ ( mbox @ ( mbox @ v3 ) ) @ ( mbox @ ( mbox @ v4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat5) ).
thf(f1279,plain,
( spl0_7
| spl0_9
| spl0_6
| spl0_17 ),
inference(avatar_split_clause,[],[f742,f1236,f1193,f1204,f1197]) ).
thf(f742,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v4 @ X3 ) )
| ( ( mrel @ X2 @ X4 )
= $false )
| ( ( v1 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( v3 @ X4 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( mrel @ X1 @ X3 )
= $false ) ),
inference(not_proxy_clausification,[],[f741]) ).
thf(f741,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( ( mrel @ X1 @ X3 )
= $false )
| ( $false
= ( v4 @ X3 ) )
| ( ( ~ ( v3 @ X4 ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v1 @ mactual )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( mrel @ X2 @ X4 )
= $false ) ),
inference(binary_proxy_clausification,[],[f740]) ).
thf(f740,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( $false
= ( mrel @ mactual @ X2 ) )
| ( $false
= ( v4 @ X3 ) )
| ( ( ( mrel @ X2 @ X4 )
=> ~ ( v3 @ X4 ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( mrel @ X1 @ X3 )
= $false )
| ( ( v4 @ mactual )
= $false )
| ( ( v1 @ mactual )
= $true ) ),
inference(beta_eta_normalization,[],[f739]) ).
thf(f739,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( ( v1 @ mactual )
= $true )
| ( ( ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ~ ( v3 @ Y0 ) )
@ X4 )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( mrel @ X1 @ X3 )
= $false )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v4 @ X3 ) )
| ( ( v4 @ mactual )
= $false ) ),
inference(pi_clausification,[],[f738]) ).
thf(f738,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( v4 @ mactual )
= $false )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v4 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( v1 @ mactual )
= $true )
| ( ( mrel @ X1 @ X3 )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ~ ( v3 @ Y0 ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f737]) ).
thf(f737,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( ~ ( v4 @ X3 ) )
= $true )
| ( ( v1 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ~ ( v3 @ Y0 ) ) )
= $true )
| ( ( mrel @ X1 @ X3 )
= $false )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( v4 @ mactual )
= $false ) ),
inference(binary_proxy_clausification,[],[f736]) ).
thf(f736,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v1 @ mactual )
= $true )
| ( ( ( mrel @ mactual @ X2 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ~ ( v3 @ Y0 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( ~ ( v4 @ X3 ) )
= $true )
| ( ( mrel @ X1 @ X3 )
= $false ) ),
inference(binary_proxy_clausification,[],[f735]) ).
thf(f735,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( ( mrel @ X1 @ X3 )
=> ~ ( v4 @ X3 ) )
= $true )
| ( ( v1 @ mactual )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( ( ( mrel @ mactual @ X2 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ~ ( v3 @ Y0 ) ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f734]) ).
thf(f734,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( ( mrel @ mactual @ X2 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ~ ( v3 @ Y0 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v1 @ mactual )
= $true )
| ( ( ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v4 @ Y0 ) )
@ X3 )
= $true ) ),
inference(pi_clausification,[],[f733]) ).
thf(f733,plain,
! [X2: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v1 @ mactual )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v4 @ Y0 ) ) )
= $true )
| ( ( ( mrel @ mactual @ X2 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ~ ( v3 @ Y0 ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $false ) ),
inference(not_proxy_clausification,[],[f732]) ).
thf(f732,plain,
! [X2: mworld,X1: mworld] :
( ( ( ~ ( v4 @ mactual ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v4 @ Y0 ) ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v1 @ mactual )
= $true )
| ( ( ( mrel @ mactual @ X2 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ~ ( v3 @ Y0 ) ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f731]) ).
thf(f731,plain,
! [X2: mworld,X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v4 @ Y0 ) ) )
= $true )
| ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) )
@ X2 )
= $true )
| ( ( v1 @ mactual )
= $true )
| ( ( ~ ( v4 @ mactual ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(pi_clausification,[],[f730]) ).
thf(f730,plain,
! [X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v4 @ Y0 ) ) )
= $true )
| ( ( ~ ( v4 @ mactual ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v1 @ mactual )
= $true ) ),
inference(binary_proxy_clausification,[],[f729]) ).
thf(f729,plain,
! [X1: mworld] :
( ( ( ( mrel @ mactual @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v4 @ Y0 ) ) ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) )
= $true )
| ( ( ~ ( v4 @ mactual ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(beta_eta_normalization,[],[f728]) ).
thf(f728,plain,
! [X1: mworld] :
( ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v4 @ Y1 ) ) ) )
@ X1 )
= $true )
| ( ( ~ ( v4 @ mactual ) )
= $true )
| ( ( v1 @ mactual )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) )
= $true ) ),
inference(pi_clausification,[],[f727]) ).
thf(f727,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v4 @ Y1 ) ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true )
| ( ( ~ ( v4 @ mactual ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f726]) ).
thf(f726,plain,
( ( ( v1 @ mactual )
= $true )
| ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v4 @ Y1 ) ) ) ) ) )
= $true )
| ( ( ~ ( v4 @ mactual ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f725]) ).
thf(f725,plain,
( ( ( ~ ( v4 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v4 @ Y1 ) ) ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(binary_proxy_clausification,[],[f724]) ).
thf(f724,plain,
( $true
= ( ( v1 @ mactual )
| ~ ( v4 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v4 @ Y1 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f276]) ).
thf(f276,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ v1
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v4 )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v3 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v4 ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f219,f214,f207,f207,f212,f207,f220,f220,f212,f220,f220,f212]) ).
thf(f219,plain,
( ( mlocal @ ( mor @ v1 @ ( mor @ ( mnot @ v4 ) @ ( mor @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f114]) ).
thf(f114,plain,
( ( mlocal @ ( mor @ v1 @ ( mor @ ( mnot @ v4 ) @ ( mor @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f113]) ).
thf(f113,plain,
mlocal @ ( mor @ v1 @ ( mor @ ( mnot @ v4 ) @ ( mor @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
inference(rectify,[],[f21]) ).
thf(f21,axiom,
mlocal @ ( mor @ v1 @ ( mor @ ( mnot @ v4 ) @ ( mor @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) @ ( mbox @ ( mbox @ ( mnot @ v4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat11) ).
thf(f1277,plain,
( spl0_18
| spl0_15
| spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f783,f1185,f1212,f1228,f1240]) ).
thf(f783,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld,X5: mworld] :
( ( $false
= ( mrel @ mactual @ X5 ) )
| ( ( mrel @ X1 @ X4 )
= $false )
| ( $false
= ( mrel @ X2 @ X3 ) )
| ( ( v4 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v1 @ X5 ) )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( $true
= ( v4 @ X3 ) )
| ( $false
= ( v1 @ X4 ) ) ),
inference(not_proxy_clausification,[],[f782]) ).
thf(f782,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld,X5: mworld] :
( ( $false
= ( mrel @ mactual @ X2 ) )
| ( $false
= ( mrel @ mactual @ X5 ) )
| ( $false
= ( v1 @ X5 ) )
| ( ( ~ ( v1 @ X4 ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v4 @ mactual )
= $true )
| ( $false
= ( mrel @ X2 @ X3 ) )
| ( ( mrel @ X1 @ X4 )
= $false )
| ( $true
= ( v4 @ X3 ) ) ),
inference(binary_proxy_clausification,[],[f781]) ).
thf(f781,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld,X5: mworld] :
( ( $false
= ( v1 @ X5 ) )
| ( $false
= ( mrel @ X2 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X5 ) )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( ( mrel @ X1 @ X4 )
=> ~ ( v1 @ X4 ) )
= $true )
| ( $true
= ( v4 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v4 @ mactual )
= $true ) ),
inference(not_proxy_clausification,[],[f780]) ).
thf(f780,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld,X5: mworld] :
( ( ( ~ ( v1 @ X5 ) )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( v4 @ mactual )
= $true )
| ( $true
= ( v4 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X5 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X2 @ X3 ) )
| ( ( ( mrel @ X1 @ X4 )
=> ~ ( v1 @ X4 ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f779]) ).
thf(f779,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld,X5: mworld] :
( ( $false
= ( mrel @ X2 @ X3 ) )
| ( $true
= ( v4 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( ( mrel @ mactual @ X5 )
=> ~ ( v1 @ X5 ) )
= $true )
| ( ( ( mrel @ X1 @ X4 )
=> ~ ( v1 @ X4 ) )
= $true )
| ( ( v4 @ mactual )
= $true ) ),
inference(beta_eta_normalization,[],[f778]) ).
thf(f778,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld,X5: mworld] :
( ( ( ( mrel @ X1 @ X4 )
=> ~ ( v1 @ X4 ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v1 @ Y0 ) )
@ X5 )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( $true
= ( v4 @ X3 ) )
| ( $false
= ( mrel @ X2 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(pi_clausification,[],[f777]) ).
thf(f777,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( ( v4 @ mactual )
= $true )
| ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v1 @ Y0 ) ) ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( v4 @ X3 ) )
| ( ( ( mrel @ X1 @ X4 )
=> ~ ( v1 @ X4 ) )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( $false
= ( mrel @ X2 @ X3 ) ) ),
inference(beta_eta_normalization,[],[f776]) ).
thf(f776,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( $true
= ( v4 @ X3 ) )
| ( ( ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v1 @ Y0 ) )
@ X4 )
= $true )
| ( $false
= ( mrel @ X2 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( v4 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v1 @ Y0 ) ) ) ) ),
inference(pi_clausification,[],[f775]) ).
thf(f775,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v4 @ mactual )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v1 @ Y0 ) ) )
= $true )
| ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v1 @ Y0 ) ) ) )
| ( $false
= ( mrel @ X2 @ X3 ) )
| ( $true
= ( v4 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X2 ) ) ),
inference(binary_proxy_clausification,[],[f774]) ).
thf(f774,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( v4 @ mactual )
= $true )
| ( ( ( mrel @ X2 @ X3 )
=> ( v4 @ X3 ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v1 @ Y0 ) ) )
= $true )
| ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v1 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f773]) ).
thf(f773,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v1 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v1 @ Y0 ) ) )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v4 @ Y0 ) )
@ X3 )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v4 @ mactual )
= $true ) ),
inference(pi_clausification,[],[f772]) ).
thf(f772,plain,
! [X2: mworld,X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v4 @ Y0 ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v1 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v1 @ Y0 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f771]) ).
thf(f771,plain,
! [X2: mworld,X1: mworld] :
( ( ( ( mrel @ mactual @ X2 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ( v4 @ Y0 ) ) ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v1 @ Y0 ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v1 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f770]) ).
thf(f770,plain,
! [X2: mworld,X1: mworld] :
( ( ( v4 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v1 @ Y0 ) ) )
= $true )
| ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) )
@ X2 )
= $true )
| ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v1 @ Y0 ) ) ) ) ),
inference(pi_clausification,[],[f769]) ).
thf(f769,plain,
! [X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v4 @ mactual )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v1 @ Y0 ) ) )
= $true )
| ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v1 @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f768]) ).
thf(f768,plain,
! [X1: mworld] :
( ( ( ( mrel @ mactual @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v1 @ Y0 ) ) ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v1 @ Y0 ) ) ) )
| ( ( v4 @ mactual )
= $true ) ),
inference(beta_eta_normalization,[],[f767]) ).
thf(f767,plain,
! [X1: mworld] :
( ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) )
@ X1 )
= $true )
| ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v1 @ Y0 ) ) ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true ) ),
inference(pi_clausification,[],[f766]) ).
thf(f766,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( ( v4 @ mactual )
= $true )
| ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v1 @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f765]) ).
thf(f765,plain,
( ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) ) ) )
= $true )
| ( $true
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v1 @ Y0 ) ) ) )
| ( ( v4 @ mactual )
= $true ) ),
inference(binary_proxy_clausification,[],[f764]) ).
thf(f764,plain,
( ( ( v4 @ mactual )
= $true )
| ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v1 @ Y0 ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f763]) ).
thf(f763,plain,
( ( ( v4 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ~ ( v1 @ Y0 ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f270]) ).
thf(f270,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ v4
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v1 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ v4 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v1 ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f210,f214,f207,f207,f220,f212,f207,f220,f220,f220,f220,f212]) ).
thf(f210,plain,
( ( mlocal @ ( mor @ v4 @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mor @ ( mbox @ ( mbox @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f146]) ).
thf(f146,plain,
( ( mlocal @ ( mor @ v4 @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mor @ ( mbox @ ( mbox @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f145]) ).
thf(f145,plain,
mlocal @ ( mor @ v4 @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mor @ ( mbox @ ( mbox @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ),
inference(rectify,[],[f42]) ).
thf(f42,axiom,
mlocal @ ( mor @ v4 @ ( mor @ ( mbox @ ( mnot @ v1 ) ) @ ( mor @ ( mbox @ ( mbox @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat32) ).
thf(f1263,plain,
( spl0_7
| spl0_18
| spl0_12
| spl0_1 ),
inference(avatar_split_clause,[],[f906,f1175,f1216,f1240,f1197]) ).
thf(f906,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( ( v3 @ X2 )
= $false )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v1 @ mactual ) )
| ( $true
= ( v4 @ X4 ) )
| ( $false
= ( mrel @ X1 @ X2 ) )
| ( $false
= ( mrel @ mactual @ X3 ) )
| ( ( v2 @ mactual )
= $true )
| ( ( mrel @ X3 @ X4 )
= $false ) ),
inference(binary_proxy_clausification,[],[f905]) ).
thf(f905,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( ( ( mrel @ X3 @ X4 )
=> ( v4 @ X4 ) )
= $true )
| ( $false
= ( v1 @ mactual ) )
| ( $false
= ( mrel @ X1 @ X2 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v2 @ mactual )
= $true )
| ( ( v3 @ X2 )
= $false )
| ( $false
= ( mrel @ mactual @ X3 ) ) ),
inference(beta_eta_normalization,[],[f904]) ).
thf(f904,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( $false
= ( v1 @ mactual ) )
| ( ( v2 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X1 @ X2 ) )
| ( ( v3 @ X2 )
= $false )
| ( ( ^ [Y0: mworld] :
( ( mrel @ X3 @ Y0 )
=> ( v4 @ Y0 ) )
@ X4 )
= $true )
| ( $false
= ( mrel @ mactual @ X3 ) ) ),
inference(pi_clausification,[],[f903]) ).
thf(f903,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $false
= ( mrel @ X1 @ X2 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v2 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X3 ) )
| ( ( v3 @ X2 )
= $false )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X3 @ Y0 )
=> ( v4 @ Y0 ) ) )
= $true )
| ( $false
= ( v1 @ mactual ) ) ),
inference(binary_proxy_clausification,[],[f902]) ).
thf(f902,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $false
= ( v1 @ mactual ) )
| ( ( v3 @ X2 )
= $false )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X1 @ X2 ) )
| ( ( v2 @ mactual )
= $true )
| ( ( ( mrel @ mactual @ X3 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X3 @ Y0 )
=> ( v4 @ Y0 ) ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f901]) ).
thf(f901,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( ~ ( v3 @ X2 ) )
= $true )
| ( $false
= ( mrel @ X1 @ X2 ) )
| ( ( ( mrel @ mactual @ X3 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X3 @ Y0 )
=> ( v4 @ Y0 ) ) ) )
= $true )
| ( $false
= ( v1 @ mactual ) )
| ( ( v2 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(beta_eta_normalization,[],[f900]) ).
thf(f900,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $false
= ( mrel @ X1 @ X2 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v1 @ mactual ) )
| ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) )
@ X3 )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( ~ ( v3 @ X2 ) )
= $true ) ),
inference(pi_clausification,[],[f899]) ).
thf(f899,plain,
! [X2: mworld,X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( ( ~ ( v3 @ X2 ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X1 @ X2 ) )
| ( $false
= ( v1 @ mactual ) )
| ( ( v2 @ mactual )
= $true ) ),
inference(binary_proxy_clausification,[],[f898]) ).
thf(f898,plain,
! [X2: mworld,X1: mworld] :
( ( $false
= ( v1 @ mactual ) )
| ( ( ( mrel @ X1 @ X2 )
=> ~ ( v3 @ X2 ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true ) ),
inference(beta_eta_normalization,[],[f897]) ).
thf(f897,plain,
! [X2: mworld,X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( ( ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v3 @ Y0 ) )
@ X2 )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( $false
= ( v1 @ mactual ) )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(pi_clausification,[],[f896]) ).
thf(f896,plain,
! [X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v3 @ Y0 ) ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( $false
= ( v1 @ mactual ) )
| ( ( v2 @ mactual )
= $true ) ),
inference(binary_proxy_clausification,[],[f895]) ).
thf(f895,plain,
! [X1: mworld] :
( ( ( ( mrel @ mactual @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v3 @ Y0 ) ) ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( $false
= ( v1 @ mactual ) ) ),
inference(beta_eta_normalization,[],[f894]) ).
thf(f894,plain,
! [X1: mworld] :
( ( ( v2 @ mactual )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) )
@ X1 )
= $true )
| ( $false
= ( v1 @ mactual ) ) ),
inference(pi_clausification,[],[f893]) ).
thf(f893,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) )
= $true )
| ( $false
= ( v1 @ mactual ) )
| ( ( v2 @ mactual )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f892]) ).
thf(f892,plain,
( ( $true
= ( ~ ( v1 @ mactual ) ) )
| ( ( v2 @ mactual )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f891]) ).
thf(f891,plain,
( ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) ) )
= $true )
| ( $true
= ( ~ ( v1 @ mactual ) ) )
| ( ( v2 @ mactual )
= $true ) ),
inference(binary_proxy_clausification,[],[f890]) ).
thf(f890,plain,
( ( ( v2 @ mactual )
= $true )
| ( $true
= ( ~ ( v1 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f889]) ).
thf(f889,plain,
( ( ( v2 @ mactual )
| ~ ( v1 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ( v4 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f300]) ).
thf(f300,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ v2
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v1 )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ v4 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v3 ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f248,f214,f207,f207,f212,f207,f220,f220,f220,f220,f212]) ).
thf(f248,plain,
( ( mlocal @ ( mor @ v2 @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mbox @ ( mbox @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f124]) ).
thf(f124,plain,
( ( mlocal @ ( mor @ v2 @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mbox @ ( mbox @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f123]) ).
thf(f123,plain,
mlocal @ ( mor @ v2 @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mbox @ ( mbox @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) ) ) ),
inference(rectify,[],[f27]) ).
thf(f27,axiom,
mlocal @ ( mor @ v2 @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mbox @ ( mbox @ v4 ) ) @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat17) ).
thf(f1219,plain,
( spl0_7
| spl0_5
| spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f1083,f1216,f1212,f1189,f1197]) ).
thf(f1083,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( $false
= ( v3 @ mactual ) )
| ( ( v3 @ X4 )
= $false )
| ( ( v1 @ X3 )
= $false )
| ( $false
= ( v1 @ mactual ) )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( $false
= ( mrel @ X2 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( mrel @ X1 @ X4 )
= $false ) ),
inference(not_proxy_clausification,[],[f1082]) ).
thf(f1082,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( ( mrel @ X1 @ X4 )
= $false )
| ( ( ~ ( v3 @ X4 ) )
= $true )
| ( $false
= ( v3 @ mactual ) )
| ( $false
= ( v1 @ mactual ) )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( v1 @ X3 )
= $false )
| ( $false
= ( mrel @ X2 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(binary_proxy_clausification,[],[f1081]) ).
thf(f1081,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( ( ( mrel @ X1 @ X4 )
=> ~ ( v3 @ X4 ) )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( v1 @ X3 )
= $false )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v3 @ mactual ) )
| ( $false
= ( mrel @ X2 @ X3 ) )
| ( $false
= ( v1 @ mactual ) ) ),
inference(beta_eta_normalization,[],[f1080]) ).
thf(f1080,plain,
! [X2: mworld,X3: mworld,X1: mworld,X4: mworld] :
( ( $true
= ( ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v3 @ Y0 ) )
@ X4 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v1 @ mactual ) )
| ( $false
= ( mrel @ X2 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( v1 @ X3 )
= $false )
| ( $false
= ( v3 @ mactual ) ) ),
inference(pi_clausification,[],[f1079]) ).
thf(f1079,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( v1 @ X3 )
= $false )
| ( $false
= ( mrel @ X2 @ X3 ) )
| ( $false
= ( v1 @ mactual ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v3 @ mactual ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v3 @ Y0 ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f1078]) ).
thf(f1078,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $false
= ( v1 @ mactual ) )
| ( $false
= ( v3 @ mactual ) )
| ( $false
= ( mrel @ X2 @ X3 ) )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( ~ ( v1 @ X3 ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v3 @ Y0 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f1077]) ).
thf(f1077,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( ( mrel @ X2 @ X3 )
=> ~ ( v1 @ X3 ) )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( $false
= ( v3 @ mactual ) )
| ( $false
= ( v1 @ mactual ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v3 @ Y0 ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f1076]) ).
thf(f1076,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( $false
= ( v1 @ mactual ) )
| ( ( ( mrel @ mactual @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v3 @ Y0 ) ) ) )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( $false
= ( v3 @ mactual ) )
| ( ( ( mrel @ X2 @ X3 )
=> ~ ( v1 @ X3 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f1075]) ).
thf(f1075,plain,
! [X2: mworld,X3: mworld,X1: mworld] :
( ( ( ( mrel @ mactual @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v3 @ Y0 ) ) ) )
= $true )
| ( $false
= ( v3 @ mactual ) )
| ( $false
= ( v1 @ mactual ) )
| ( ( ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ~ ( v1 @ Y0 ) )
@ X3 )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) ) ),
inference(pi_clausification,[],[f1074]) ).
thf(f1074,plain,
! [X2: mworld,X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ~ ( v1 @ Y0 ) ) )
= $true )
| ( ( ( mrel @ mactual @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v3 @ Y0 ) ) ) )
= $true )
| ( $false
= ( v1 @ mactual ) )
| ( $false
= ( v3 @ mactual ) )
| ( $false
= ( mrel @ mactual @ X2 ) ) ),
inference(not_proxy_clausification,[],[f1073]) ).
thf(f1073,plain,
! [X2: mworld,X1: mworld] :
( ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ~ ( v1 @ Y0 ) ) )
= $true )
| ( $false
= ( mrel @ mactual @ X2 ) )
| ( ( ( mrel @ mactual @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v3 @ Y0 ) ) ) )
= $true )
| ( $false
= ( v1 @ mactual ) ) ),
inference(binary_proxy_clausification,[],[f1072]) ).
thf(f1072,plain,
! [X2: mworld,X1: mworld] :
( ( ( ( mrel @ mactual @ X2 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X2 @ Y0 )
=> ~ ( v1 @ Y0 ) ) ) )
= $true )
| ( ( ( mrel @ mactual @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v3 @ Y0 ) ) ) )
= $true )
| ( $false
= ( v1 @ mactual ) )
| ( ( ~ ( v3 @ mactual ) )
= $true ) ),
inference(beta_eta_normalization,[],[f1071]) ).
thf(f1071,plain,
! [X2: mworld,X1: mworld] :
( ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) )
@ X2 )
= $true )
| ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( ( mrel @ mactual @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v3 @ Y0 ) ) ) )
= $true )
| ( $false
= ( v1 @ mactual ) ) ),
inference(pi_clausification,[],[f1070]) ).
thf(f1070,plain,
! [X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) ) )
= $true )
| ( ( ~ ( v3 @ mactual ) )
= $true )
| ( $false
= ( v1 @ mactual ) )
| ( ( ( mrel @ mactual @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v3 @ Y0 ) ) ) )
= $true ) ),
inference(beta_eta_normalization,[],[f1069]) ).
thf(f1069,plain,
! [X1: mworld] :
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) ) )
= $true )
| ( $false
= ( v1 @ mactual ) )
| ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) )
@ X1 )
= $true ) ),
inference(pi_clausification,[],[f1068]) ).
thf(f1068,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) ) )
= $true )
| ( ( ~ ( v3 @ mactual ) )
= $true )
| ( $false
= ( v1 @ mactual ) ) ),
inference(binary_proxy_clausification,[],[f1067]) ).
thf(f1067,plain,
( ( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) ) )
= $true )
| ( ( ~ ( v3 @ mactual ) )
= $true )
| ( $false
= ( v1 @ mactual ) ) ),
inference(binary_proxy_clausification,[],[f1066]) ).
thf(f1066,plain,
( ( $true
= ( ~ ( v3 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) ) ) )
| ( $false
= ( v1 @ mactual ) ) ),
inference(not_proxy_clausification,[],[f1065]) ).
thf(f1065,plain,
( ( $true
= ( ~ ( v1 @ mactual ) ) )
| ( $true
= ( ~ ( v3 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f1064]) ).
thf(f1064,plain,
( ( ~ ( v1 @ mactual )
| ~ ( v3 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v1 @ Y1 ) ) ) ) )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f277]) ).
thf(f277,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v1 )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v3 )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v1 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v3 ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f221,f214,f207,f212,f207,f212,f207,f220,f220,f212,f220,f220,f212]) ).
thf(f221,plain,
( ( mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f104]) ).
thf(f104,plain,
( ( mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f103]) ).
thf(f103,plain,
mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) ) ) ),
inference(rectify,[],[f46]) ).
thf(f46,axiom,
mlocal @ ( mor @ ( mnot @ v1 ) @ ( mor @ ( mnot @ v3 ) @ ( mor @ ( mbox @ ( mbox @ ( mnot @ v1 ) ) ) @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat36) ).
thf(f1199,plain,
( spl0_1
| spl0_5
| spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f1152,f1197,f1193,f1189,f1175]) ).
thf(f1152,plain,
! [X2: mworld,X1: mworld] :
( ( ( v3 @ X2 )
= $false )
| ( ( v1 @ mactual )
= $true )
| ( $false
= ( mrel @ X1 @ X2 ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( v3 @ mactual ) )
| ( ( v2 @ mactual )
= $true ) ),
inference(not_proxy_clausification,[],[f1151]) ).
thf(f1151,plain,
! [X2: mworld,X1: mworld] :
( ( ( ~ ( v3 @ X2 ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( $false
= ( mrel @ X1 @ X2 ) )
| ( ( v1 @ mactual )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( $false
= ( v3 @ mactual ) ) ),
inference(binary_proxy_clausification,[],[f1150]) ).
thf(f1150,plain,
! [X2: mworld,X1: mworld] :
( ( $false
= ( v3 @ mactual ) )
| ( ( v2 @ mactual )
= $true )
| ( ( ( mrel @ X1 @ X2 )
=> ~ ( v3 @ X2 ) )
= $true )
| ( ( v1 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) ) ),
inference(beta_eta_normalization,[],[f1149]) ).
thf(f1149,plain,
! [X2: mworld,X1: mworld] :
( ( ( v1 @ mactual )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v3 @ Y0 ) )
@ X2 )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( $false
= ( v3 @ mactual ) ) ),
inference(pi_clausification,[],[f1148]) ).
thf(f1148,plain,
! [X1: mworld] :
( ( ( v2 @ mactual )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v3 @ Y0 ) ) )
= $true )
| ( $false
= ( v3 @ mactual ) )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v1 @ mactual )
= $true ) ),
inference(not_proxy_clausification,[],[f1147]) ).
thf(f1147,plain,
! [X1: mworld] :
( ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v3 @ Y0 ) ) )
= $true )
| ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( v1 @ mactual )
= $true ) ),
inference(binary_proxy_clausification,[],[f1146]) ).
thf(f1146,plain,
! [X1: mworld] :
( ( ( v2 @ mactual )
= $true )
| ( ( ( mrel @ mactual @ X1 )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ X1 @ Y0 )
=> ~ ( v3 @ Y0 ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true )
| ( ( ~ ( v3 @ mactual ) )
= $true ) ),
inference(beta_eta_normalization,[],[f1145]) ).
thf(f1145,plain,
! [X1: mworld] :
( ( ( v1 @ mactual )
= $true )
| ( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) )
@ X1 )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( ~ ( v3 @ mactual ) )
= $true ) ),
inference(pi_clausification,[],[f1144]) ).
thf(f1144,plain,
( ( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) )
= $true )
| ( ( ~ ( v3 @ mactual ) )
= $true )
| ( ( v2 @ mactual )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(binary_proxy_clausification,[],[f1143]) ).
thf(f1143,plain,
( ( ( v2 @ mactual )
= $true )
| ( ( ~ ( v3 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(binary_proxy_clausification,[],[f1142]) ).
thf(f1142,plain,
( ( ( ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) ) )
= $true )
| ( ( v1 @ mactual )
= $true ) ),
inference(binary_proxy_clausification,[],[f1141]) ).
thf(f1141,plain,
( ( ( v1 @ mactual )
| ( v2 @ mactual )
| ~ ( v3 @ mactual )
| ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ Y0 @ Y1 )
=> ~ ( v3 @ Y1 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f258]) ).
thf(f258,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ v1
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ v2
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v3 )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ v3 ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f196,f214,f207,f207,f207,f212,f220,f220,f212]) ).
thf(f196,plain,
( ( mlocal @ ( mor @ v1 @ ( mor @ v2 @ ( mor @ ( mnot @ v3 ) @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f140]) ).
thf(f140,plain,
( ( mlocal @ ( mor @ v1 @ ( mor @ v2 @ ( mor @ ( mnot @ v3 ) @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f139]) ).
thf(f139,plain,
mlocal @ ( mor @ v1 @ ( mor @ v2 @ ( mor @ ( mnot @ v3 ) @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) ) ) ),
inference(rectify,[],[f12]) ).
thf(f12,axiom,
mlocal @ ( mor @ v1 @ ( mor @ v2 @ ( mor @ ( mnot @ v3 ) @ ( mbox @ ( mbox @ ( mnot @ v3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',persat2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYO903^10 : TPTP v8.2.0. Released v8.1.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 08:42:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_CAX_EQU_NAR problem
% 0.15/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39 % (12144)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.39 % (12143)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.39 % (12142)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.21/0.39 % (12144)Instruction limit reached!
% 0.21/0.39 % (12144)------------------------------
% 0.21/0.39 % (12144)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (12144)Termination reason: Unknown
% 0.21/0.39 % (12144)Termination phase: shuffling
% 0.21/0.39
% 0.21/0.39 % (12144)Memory used [KB]: 1023
% 0.21/0.39 % (12144)Time elapsed: 0.003 s
% 0.21/0.39 % (12144)Instructions burned: 3 (million)
% 0.21/0.39 % (12144)------------------------------
% 0.21/0.39 % (12144)------------------------------
% 0.21/0.39 % (12142)Refutation not found, incomplete strategy
% 0.21/0.39 % (12142)------------------------------
% 0.21/0.39 % (12142)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (12142)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.39
% 0.21/0.39
% 0.21/0.39 % (12142)Memory used [KB]: 5500
% 0.21/0.39 % (12142)Time elapsed: 0.008 s
% 0.21/0.39 % (12142)Instructions burned: 15 (million)
% 0.21/0.39 % (12142)------------------------------
% 0.21/0.39 % (12142)------------------------------
% 0.21/0.39 % (12143)Instruction limit reached!
% 0.21/0.39 % (12143)------------------------------
% 0.21/0.39 % (12143)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (12143)Termination reason: Unknown
% 0.21/0.39 % (12143)Termination phase: Function definition elimination
% 0.21/0.39
% 0.21/0.39 % (12143)Memory used [KB]: 1023
% 0.21/0.39 % (12143)Time elapsed: 0.010 s
% 0.21/0.39 % (12143)Instructions burned: 19 (million)
% 0.21/0.39 % (12143)------------------------------
% 0.21/0.39 % (12143)------------------------------
% 0.21/0.39 % (12141)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.40 % (12141)Instruction limit reached!
% 0.21/0.40 % (12141)------------------------------
% 0.21/0.40 % (12141)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (12141)Termination reason: Unknown
% 0.21/0.40 % (12141)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (12141)Memory used [KB]: 1023
% 0.21/0.40 % (12141)Time elapsed: 0.003 s
% 0.21/0.40 % (12141)Instructions burned: 3 (million)
% 0.21/0.40 % (12141)------------------------------
% 0.21/0.40 % (12141)------------------------------
% 0.21/0.40 % (12139)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.21/0.40 % (12140)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.40 % (12140)Instruction limit reached!
% 0.21/0.40 % (12140)------------------------------
% 0.21/0.40 % (12140)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (12140)Termination reason: Unknown
% 0.21/0.40 % (12140)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (12140)Memory used [KB]: 1023
% 0.21/0.40 % (12140)Time elapsed: 0.002 s
% 0.21/0.40 % (12140)Instructions burned: 2 (million)
% 0.21/0.40 % (12140)------------------------------
% 0.21/0.40 % (12140)------------------------------
% 0.21/0.40 % (12138)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.40 % (12137)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.40 % (12145)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.40 % (12138)Instruction limit reached!
% 0.21/0.40 % (12138)------------------------------
% 0.21/0.40 % (12138)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (12138)Termination reason: Unknown
% 0.21/0.40 % (12138)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (12138)Memory used [KB]: 1023
% 0.21/0.40 % (12138)Time elapsed: 0.004 s
% 0.21/0.40 % (12138)Instructions burned: 5 (million)
% 0.21/0.40 % (12138)------------------------------
% 0.21/0.40 % (12138)------------------------------
% 0.21/0.41 % (12146)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.41 % (12147)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.41 % (12147)Instruction limit reached!
% 0.21/0.41 % (12147)------------------------------
% 0.21/0.41 % (12147)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (12147)Termination reason: Unknown
% 0.21/0.41 % (12147)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (12147)Memory used [KB]: 1023
% 0.21/0.41 % (12147)Time elapsed: 0.003 s
% 0.21/0.41 % (12147)Instructions burned: 3 (million)
% 0.21/0.41 % (12147)------------------------------
% 0.21/0.41 % (12147)------------------------------
% 0.21/0.41 % (12148)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.21/0.41 % (12139)Instruction limit reached!
% 0.21/0.41 % (12139)------------------------------
% 0.21/0.41 % (12139)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (12139)Termination reason: Unknown
% 0.21/0.41 % (12139)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (12139)Memory used [KB]: 1023
% 0.21/0.41 % (12139)Time elapsed: 0.017 s
% 0.21/0.41 % (12139)Instructions burned: 28 (million)
% 0.21/0.41 % (12139)------------------------------
% 0.21/0.41 % (12139)------------------------------
% 0.21/0.41 % (12146)Instruction limit reached!
% 0.21/0.41 % (12146)------------------------------
% 0.21/0.41 % (12146)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (12146)Termination reason: Unknown
% 0.21/0.41 % (12146)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (12146)Memory used [KB]: 1023
% 0.21/0.41 % (12146)Time elapsed: 0.009 s
% 0.21/0.41 % (12146)Instructions burned: 17 (million)
% 0.21/0.41 % (12146)------------------------------
% 0.21/0.41 % (12146)------------------------------
% 0.21/0.41 % (12150)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.42 % (12145)Instruction limit reached!
% 0.21/0.42 % (12145)------------------------------
% 0.21/0.42 % (12145)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (12145)Termination reason: Unknown
% 0.21/0.42 % (12145)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (12145)Memory used [KB]: 5628
% 0.21/0.42 % (12145)Time elapsed: 0.017 s
% 0.21/0.42 % (12145)Instructions burned: 38 (million)
% 0.21/0.42 % (12145)------------------------------
% 0.21/0.42 % (12145)------------------------------
% 0.21/0.42 % (12149)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.42 % (12149)Instruction limit reached!
% 0.21/0.42 % (12149)------------------------------
% 0.21/0.42 % (12149)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (12149)Termination reason: Unknown
% 0.21/0.42 % (12149)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (12149)Memory used [KB]: 1023
% 0.21/0.42 % (12149)Time elapsed: 0.005 s
% 0.21/0.42 % (12149)Instructions burned: 8 (million)
% 0.21/0.42 % (12149)------------------------------
% 0.21/0.42 % (12149)------------------------------
% 0.21/0.42 % (12150)Instruction limit reached!
% 0.21/0.42 % (12150)------------------------------
% 0.21/0.42 % (12150)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (12150)Termination reason: Unknown
% 0.21/0.42 % (12150)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (12150)Memory used [KB]: 1023
% 0.21/0.42 % (12150)Time elapsed: 0.009 s
% 0.21/0.42 % (12150)Instructions burned: 17 (million)
% 0.21/0.42 % (12150)------------------------------
% 0.21/0.42 % (12150)------------------------------
% 0.21/0.43 % (12152)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.43 % (12151)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.43 % (12152)Instruction limit reached!
% 0.21/0.43 % (12152)------------------------------
% 0.21/0.43 % (12152)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (12151)Instruction limit reached!
% 0.21/0.43 % (12151)------------------------------
% 0.21/0.43 % (12151)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (12151)Termination reason: Unknown
% 0.21/0.43 % (12151)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (12151)Memory used [KB]: 1023
% 0.21/0.43 % (12151)Time elapsed: 0.003 s
% 0.21/0.43 % (12151)Instructions burned: 3 (million)
% 0.21/0.43 % (12151)------------------------------
% 0.21/0.43 % (12151)------------------------------
% 0.21/0.43 % (12152)Termination reason: Unknown
% 0.21/0.43 % (12152)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (12152)Memory used [KB]: 1023
% 0.21/0.43 % (12152)Time elapsed: 0.004 s
% 0.21/0.43 % (12152)Instructions burned: 3 (million)
% 0.21/0.43 % (12152)------------------------------
% 0.21/0.43 % (12152)------------------------------
% 0.21/0.43 % (12153)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.43 % (12154)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.43 % (12154)Instruction limit reached!
% 0.21/0.43 % (12154)------------------------------
% 0.21/0.43 % (12154)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (12154)Termination reason: Unknown
% 0.21/0.43 % (12154)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (12154)Memory used [KB]: 1023
% 0.21/0.43 % (12154)Time elapsed: 0.003 s
% 0.21/0.43 % (12154)Instructions burned: 3 (million)
% 0.21/0.43 % (12154)------------------------------
% 0.21/0.43 % (12154)------------------------------
% 0.21/0.43 % (12153)Instruction limit reached!
% 0.21/0.43 % (12153)------------------------------
% 0.21/0.43 % (12153)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (12153)Termination reason: Unknown
% 0.21/0.43 % (12153)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (12153)Memory used [KB]: 1023
% 0.21/0.43 % (12153)Time elapsed: 0.005 s
% 0.21/0.43 % (12153)Instructions burned: 8 (million)
% 0.21/0.43 % (12153)------------------------------
% 0.21/0.43 % (12153)------------------------------
% 0.21/0.43 % (12156)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.44 % (12155)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.44 % (12155)Instruction limit reached!
% 0.21/0.44 % (12155)------------------------------
% 0.21/0.44 % (12155)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (12155)Termination reason: Unknown
% 0.21/0.44 % (12155)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (12155)Memory used [KB]: 1023
% 0.21/0.44 % (12155)Time elapsed: 0.004 s
% 0.21/0.44 % (12155)Instructions burned: 6 (million)
% 0.21/0.44 % (12155)------------------------------
% 0.21/0.44 % (12155)------------------------------
% 0.21/0.44 % (12158)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.44 % (12156)Instruction limit reached!
% 0.21/0.44 % (12156)------------------------------
% 0.21/0.44 % (12156)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (12156)Termination reason: Unknown
% 0.21/0.44 % (12156)Termination phase: Property scanning
% 0.21/0.44
% 0.21/0.44 % (12156)Memory used [KB]: 1023
% 0.21/0.44 % (12156)Time elapsed: 0.009 s
% 0.21/0.44 % (12156)Instructions burned: 18 (million)
% 0.21/0.44 % (12156)------------------------------
% 0.21/0.44 % (12156)------------------------------
% 0.21/0.44 % (12157)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.44 % (12158)Instruction limit reached!
% 0.21/0.44 % (12158)------------------------------
% 0.21/0.44 % (12158)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (12158)Termination reason: Unknown
% 0.21/0.44 % (12158)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (12158)Memory used [KB]: 1023
% 0.21/0.44 % (12158)Time elapsed: 0.005 s
% 0.21/0.44 % (12158)Instructions burned: 6 (million)
% 0.21/0.44 % (12158)------------------------------
% 0.21/0.44 % (12158)------------------------------
% 0.21/0.44 % (12160)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.21/0.45 % (12159)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.21/0.45 % (12157)Refutation not found, incomplete strategy
% 0.21/0.45 % (12157)------------------------------
% 0.21/0.45 % (12157)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (12157)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % (12157)Memory used [KB]: 5500
% 0.21/0.45 % (12157)Time elapsed: 0.008 s
% 0.21/0.45 % (12157)Instructions burned: 15 (million)
% 0.21/0.45 % (12157)------------------------------
% 0.21/0.45 % (12157)------------------------------
% 0.21/0.45 % (12160)Instruction limit reached!
% 0.21/0.45 % (12160)------------------------------
% 0.21/0.45 % (12160)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (12160)Termination reason: Unknown
% 0.21/0.45 % (12160)Termination phase: Function definition elimination
% 0.21/0.45
% 0.21/0.45 % (12160)Memory used [KB]: 1023
% 0.21/0.45 % (12160)Time elapsed: 0.011 s
% 0.21/0.45 % (12160)Instructions burned: 22 (million)
% 0.21/0.45 % (12160)------------------------------
% 0.21/0.45 % (12160)------------------------------
% 0.21/0.45 % (12162)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.46 % (12161)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.46 % (12162)Instruction limit reached!
% 0.21/0.46 % (12162)------------------------------
% 0.21/0.46 % (12162)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (12162)Termination reason: Unknown
% 0.21/0.46 % (12162)Termination phase: Property scanning
% 0.21/0.46
% 0.21/0.46 % (12162)Memory used [KB]: 1023
% 0.21/0.46 % (12162)Time elapsed: 0.004 s
% 0.21/0.46 % (12162)Instructions burned: 6 (million)
% 0.21/0.46 % (12162)------------------------------
% 0.21/0.46 % (12162)------------------------------
% 0.21/0.46 % (12163)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.46 % (12159)Refutation not found, incomplete strategy
% 0.21/0.46 % (12159)------------------------------
% 0.21/0.46 % (12159)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (12159)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 % (12159)Memory used [KB]: 5628
% 0.21/0.46 % (12159)Time elapsed: 0.012 s
% 0.21/0.46 % (12159)Instructions burned: 23 (million)
% 0.21/0.46 % (12159)------------------------------
% 0.21/0.46 % (12159)------------------------------
% 0.21/0.46 % (12161)Instruction limit reached!
% 0.21/0.46 % (12161)------------------------------
% 0.21/0.46 % (12161)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (12161)Termination reason: Unknown
% 0.21/0.46 % (12161)Termination phase: Property scanning
% 0.21/0.46
% 0.21/0.46 % (12161)Memory used [KB]: 1023
% 0.21/0.46 % (12161)Time elapsed: 0.004 s
% 0.21/0.46 % (12161)Instructions burned: 6 (million)
% 0.21/0.46 % (12161)------------------------------
% 0.21/0.46 % (12161)------------------------------
% 0.21/0.47 % (12164)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.21/0.47 % (12137)First to succeed.
% 0.21/0.47 % (12165)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.21/0.47 % (12168)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.47 % (12166)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.21/0.47 % (12168)Instruction limit reached!
% 0.21/0.47 % (12168)------------------------------
% 0.21/0.47 % (12168)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (12168)Termination reason: Unknown
% 0.21/0.47 % (12168)Termination phase: shuffling
% 0.21/0.47
% 0.21/0.47 % (12168)Memory used [KB]: 1023
% 0.21/0.47 % (12168)Time elapsed: 0.003 s
% 0.21/0.47 % (12168)Instructions burned: 4 (million)
% 0.21/0.47 % (12168)------------------------------
% 0.21/0.47 % (12168)------------------------------
% 0.21/0.47 % (12167)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.21/0.47 % (12165)Refutation not found, incomplete strategy
% 0.21/0.47 % (12165)------------------------------
% 0.21/0.47 % (12165)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (12165)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.47
% 0.21/0.47
% 0.21/0.47 % (12165)Memory used [KB]: 5500
% 0.21/0.47 % (12165)Time elapsed: 0.006 s
% 0.21/0.47 % (12165)Instructions burned: 10 (million)
% 0.21/0.47 % (12165)------------------------------
% 0.21/0.47 % (12165)------------------------------
% 0.21/0.48 % (12137)Refutation found. Thanks to Tanya!
% 0.21/0.48 % SZS status Theorem for theBenchmark
% 0.21/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.48 % (12137)------------------------------
% 0.21/0.48 % (12137)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (12137)Termination reason: Refutation
% 0.21/0.48
% 0.21/0.48 % (12137)Memory used [KB]: 6396
% 0.21/0.48 % (12137)Time elapsed: 0.101 s
% 0.21/0.48 % (12137)Instructions burned: 143 (million)
% 0.21/0.48 % (12137)------------------------------
% 0.21/0.48 % (12137)------------------------------
% 0.21/0.48 % (12136)Success in time 0.118 s
% 0.21/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------