TSTP Solution File: SYO606+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO606+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.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 : Sun May 5 12:23:50 EDT 2024
% Result : Theorem 0.56s 0.76s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 72
% Syntax : Number of formulae : 391 ( 1 unt; 0 def)
% Number of atoms : 1611 ( 0 equ)
% Maximal formula atoms : 41 ( 4 avg)
% Number of connectives : 2100 ( 880 ~; 955 |; 195 &)
% ( 53 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 58 ( 57 usr; 47 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 583 ( 411 !; 172 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1057,plain,
$false,
inference(avatar_sat_refutation,[],[f121,f129,f135,f147,f163,f167,f171,f182,f186,f191,f195,f199,f203,f210,f215,f220,f221,f259,f263,f268,f276,f282,f308,f310,f313,f343,f386,f398,f437,f445,f480,f486,f490,f532,f545,f560,f562,f570,f592,f610,f614,f615,f621,f631,f654,f657,f668,f689,f697,f720,f725,f743,f757,f763,f765,f767,f829,f837,f875,f876,f899,f926,f998,f999,f1029,f1050,f1056]) ).
fof(f1056,plain,
( spl23_44
| ~ spl23_20
| ~ spl23_62 ),
inference(avatar_split_clause,[],[f1055,f750,f193,f396]) ).
fof(f396,plain,
( spl23_44
<=> ! [X0] : ~ g_both(sK19,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_44])]) ).
fof(f193,plain,
( spl23_20
<=> ! [X9,X10] :
( ~ h_false_only(X9,sK18(X9,X10))
| ~ g_both(X9,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_20])]) ).
fof(f750,plain,
( spl23_62
<=> ! [X2] : h_false_only(sK19,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_62])]) ).
fof(f1055,plain,
( ! [X0] : ~ g_both(sK19,X0)
| ~ spl23_20
| ~ spl23_62 ),
inference(resolution,[],[f751,f194]) ).
fof(f194,plain,
( ! [X10,X9] :
( ~ h_false_only(X9,sK18(X9,X10))
| ~ g_both(X9,X10) )
| ~ spl23_20 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f751,plain,
( ! [X2] : h_false_only(sK19,X2)
| ~ spl23_62 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f1050,plain,
( ~ spl23_4
| ~ spl23_5
| ~ spl23_20 ),
inference(avatar_contradiction_clause,[],[f1048]) ).
fof(f1048,plain,
( $false
| ~ spl23_4
| ~ spl23_5
| ~ spl23_20 ),
inference(resolution,[],[f133,f1041]) ).
fof(f1041,plain,
( ! [X0] : ~ g_both(sK4,X0)
| ~ spl23_4
| ~ spl23_20 ),
inference(resolution,[],[f128,f194]) ).
fof(f128,plain,
( ! [X2] : h_false_only(sK4,X2)
| ~ spl23_4 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl23_4
<=> ! [X2] : h_false_only(sK4,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).
fof(f133,plain,
( g_both(sK4,sK5)
| ~ spl23_5 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl23_5
<=> g_both(sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_5])]) ).
fof(f1029,plain,
( ~ spl23_21
| ~ spl23_22
| ~ spl23_23
| ~ spl23_36 ),
inference(avatar_contradiction_clause,[],[f1028]) ).
fof(f1028,plain,
( $false
| ~ spl23_21
| ~ spl23_22
| ~ spl23_23
| ~ spl23_36 ),
inference(subsumption_resolution,[],[f1027,f206]) ).
fof(f206,plain,
( ! [X16] : ~ h_true_only(sK21,X16)
| ~ spl23_23 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f205,plain,
( spl23_23
<=> ! [X16] : ~ h_true_only(sK21,X16) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_23])]) ).
fof(f1027,plain,
( h_true_only(sK21,sK18(sK21,sK6(sK21)))
| ~ spl23_21
| ~ spl23_22
| ~ spl23_36 ),
inference(subsumption_resolution,[],[f1019,f1004]) ).
fof(f1004,plain,
( ~ h_false_only(sK21,sK18(sK21,sK6(sK21)))
| ~ spl23_21
| ~ spl23_36 ),
inference(resolution,[],[f294,f198]) ).
fof(f198,plain,
( ! [X10,X9] :
( ~ g_true_only(X9,X10)
| ~ h_false_only(X9,sK18(X9,X10)) )
| ~ spl23_21 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f197,plain,
( spl23_21
<=> ! [X9,X10] :
( ~ h_false_only(X9,sK18(X9,X10))
| ~ g_true_only(X9,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_21])]) ).
fof(f294,plain,
( g_true_only(sK21,sK6(sK21))
| ~ spl23_36 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f292,plain,
( spl23_36
<=> g_true_only(sK21,sK6(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_36])]) ).
fof(f1019,plain,
( h_false_only(sK21,sK18(sK21,sK6(sK21)))
| h_true_only(sK21,sK18(sK21,sK6(sK21)))
| ~ spl23_22
| ~ spl23_36 ),
inference(resolution,[],[f1003,f96]) ).
fof(f96,plain,
! [X0,X1] :
( h_both(X0,X1)
| h_false_only(X0,X1)
| h_true_only(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( h_false_only(X0,X1)
| h_both(X0,X1)
| h_true_only(X0,X1) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X3,X4] :
( h_false_only(X3,X4)
| h_both(X3,X4)
| h_true_only(X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.xDaVL45foZ/Vampire---4.8_19727',exhaustion_h) ).
fof(f1003,plain,
( ~ h_both(sK21,sK18(sK21,sK6(sK21)))
| ~ spl23_22
| ~ spl23_36 ),
inference(resolution,[],[f294,f202]) ).
fof(f202,plain,
( ! [X10,X9] :
( ~ g_true_only(X9,X10)
| ~ h_both(X9,sK18(X9,X10)) )
| ~ spl23_22 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl23_22
<=> ! [X9,X10] :
( ~ h_both(X9,sK18(X9,X10))
| ~ g_true_only(X9,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_22])]) ).
fof(f999,plain,
( spl23_36
| spl23_37
| spl23_28
| spl23_29
| ~ spl23_8
| ~ spl23_23 ),
inference(avatar_split_clause,[],[f948,f205,f145,f240,f237,f296,f292]) ).
fof(f296,plain,
( spl23_37
<=> ! [X2] : h_false_only(sK21,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_37])]) ).
fof(f237,plain,
( spl23_28
<=> ! [X1] : ~ h_both(sK21,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_28])]) ).
fof(f240,plain,
( spl23_29
<=> ! [X0] :
( ~ g_both(sK21,X0)
| g_false_only(sK21,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_29])]) ).
fof(f145,plain,
( spl23_8
<=> ! [X3,X0,X5,X2] :
( h_false_only(X0,X2)
| ~ g_both(X0,X3)
| ~ h_both(X0,X5)
| g_false_only(X0,X3)
| h_true_only(X0,sK7(X0,X3))
| g_true_only(X0,sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_8])]) ).
fof(f948,plain,
( ! [X2,X0,X1] :
( ~ g_both(sK21,X0)
| ~ h_both(sK21,X1)
| g_false_only(sK21,X0)
| h_false_only(sK21,X2)
| g_true_only(sK21,sK6(sK21)) )
| ~ spl23_8
| ~ spl23_23 ),
inference(resolution,[],[f146,f206]) ).
fof(f146,plain,
( ! [X2,X3,X0,X5] :
( h_true_only(X0,sK7(X0,X3))
| ~ g_both(X0,X3)
| ~ h_both(X0,X5)
| g_false_only(X0,X3)
| h_false_only(X0,X2)
| g_true_only(X0,sK6(X0)) )
| ~ spl23_8 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f998,plain,
( ~ spl23_21
| ~ spl23_22
| ~ spl23_23
| spl23_25
| ~ spl23_29 ),
inference(avatar_contradiction_clause,[],[f997]) ).
fof(f997,plain,
( $false
| ~ spl23_21
| ~ spl23_22
| ~ spl23_23
| spl23_25
| ~ spl23_29 ),
inference(subsumption_resolution,[],[f996,f206]) ).
fof(f996,plain,
( h_true_only(sK21,sK18(sK21,sK22))
| ~ spl23_21
| ~ spl23_22
| spl23_25
| ~ spl23_29 ),
inference(subsumption_resolution,[],[f991,f951]) ).
fof(f951,plain,
( ~ h_false_only(sK21,sK18(sK21,sK22))
| ~ spl23_21
| spl23_25
| ~ spl23_29 ),
inference(resolution,[],[f941,f198]) ).
fof(f941,plain,
( g_true_only(sK21,sK22)
| spl23_25
| ~ spl23_29 ),
inference(subsumption_resolution,[],[f940,f214]) ).
fof(f214,plain,
( ~ g_false_only(sK21,sK22)
| spl23_25 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f212,plain,
( spl23_25
<=> g_false_only(sK21,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_25])]) ).
fof(f940,plain,
( g_false_only(sK21,sK22)
| g_true_only(sK21,sK22)
| spl23_25
| ~ spl23_29 ),
inference(resolution,[],[f938,f92]) ).
fof(f92,plain,
! [X0,X1] :
( g_both(X0,X1)
| g_false_only(X0,X1)
| g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( g_false_only(X0,X1)
| g_both(X0,X1)
| g_true_only(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X3,X4] :
( g_false_only(X3,X4)
| g_both(X3,X4)
| g_true_only(X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.xDaVL45foZ/Vampire---4.8_19727',exhaustion_g) ).
fof(f938,plain,
( ~ g_both(sK21,sK22)
| spl23_25
| ~ spl23_29 ),
inference(resolution,[],[f214,f241]) ).
fof(f241,plain,
( ! [X0] :
( g_false_only(sK21,X0)
| ~ g_both(sK21,X0) )
| ~ spl23_29 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f991,plain,
( h_false_only(sK21,sK18(sK21,sK22))
| h_true_only(sK21,sK18(sK21,sK22))
| ~ spl23_22
| spl23_25
| ~ spl23_29 ),
inference(resolution,[],[f950,f96]) ).
fof(f950,plain,
( ~ h_both(sK21,sK18(sK21,sK22))
| ~ spl23_22
| spl23_25
| ~ spl23_29 ),
inference(resolution,[],[f941,f202]) ).
fof(f926,plain,
( ~ spl23_2
| ~ spl23_3
| ~ spl23_21
| ~ spl23_22 ),
inference(avatar_contradiction_clause,[],[f925]) ).
fof(f925,plain,
( $false
| ~ spl23_2
| ~ spl23_3
| ~ spl23_21
| ~ spl23_22 ),
inference(subsumption_resolution,[],[f921,f843]) ).
fof(f843,plain,
( ~ h_false_only(sK4,sK18(sK4,sK5))
| ~ spl23_3
| ~ spl23_21 ),
inference(resolution,[],[f198,f125]) ).
fof(f125,plain,
( g_true_only(sK4,sK5)
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl23_3
<=> g_true_only(sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).
fof(f921,plain,
( h_false_only(sK4,sK18(sK4,sK5))
| ~ spl23_2
| ~ spl23_3
| ~ spl23_22 ),
inference(resolution,[],[f847,f120]) ).
fof(f120,plain,
( ! [X2] :
( h_both(sK4,X2)
| h_false_only(sK4,X2) )
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl23_2
<=> ! [X2] :
( h_false_only(sK4,X2)
| h_both(sK4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
fof(f847,plain,
( ~ h_both(sK4,sK18(sK4,sK5))
| ~ spl23_3
| ~ spl23_22 ),
inference(resolution,[],[f202,f125]) ).
fof(f899,plain,
( ~ spl23_21
| ~ spl23_22
| ~ spl23_24
| ~ spl23_61 ),
inference(avatar_contradiction_clause,[],[f898]) ).
fof(f898,plain,
( $false
| ~ spl23_21
| ~ spl23_22
| ~ spl23_24
| ~ spl23_61 ),
inference(subsumption_resolution,[],[f897,f209]) ).
fof(f209,plain,
( ! [X14] : ~ h_true_only(sK19,X14)
| ~ spl23_24 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f208,plain,
( spl23_24
<=> ! [X14] : ~ h_true_only(sK19,X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_24])]) ).
fof(f897,plain,
( h_true_only(sK19,sK18(sK19,sK6(sK19)))
| ~ spl23_21
| ~ spl23_22
| ~ spl23_61 ),
inference(subsumption_resolution,[],[f889,f878]) ).
fof(f878,plain,
( ~ h_false_only(sK19,sK18(sK19,sK6(sK19)))
| ~ spl23_21
| ~ spl23_61 ),
inference(resolution,[],[f748,f198]) ).
fof(f748,plain,
( g_true_only(sK19,sK6(sK19))
| ~ spl23_61 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f746,plain,
( spl23_61
<=> g_true_only(sK19,sK6(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_61])]) ).
fof(f889,plain,
( h_false_only(sK19,sK18(sK19,sK6(sK19)))
| h_true_only(sK19,sK18(sK19,sK6(sK19)))
| ~ spl23_22
| ~ spl23_61 ),
inference(resolution,[],[f877,f96]) ).
fof(f877,plain,
( ~ h_both(sK19,sK18(sK19,sK6(sK19)))
| ~ spl23_22
| ~ spl23_61 ),
inference(resolution,[],[f748,f202]) ).
fof(f876,plain,
( spl23_61
| spl23_62
| spl23_42
| spl23_48
| ~ spl23_8
| ~ spl23_24 ),
inference(avatar_split_clause,[],[f783,f208,f145,f466,f389,f750,f746]) ).
fof(f389,plain,
( spl23_42
<=> ! [X1] : ~ h_both(sK19,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_42])]) ).
fof(f466,plain,
( spl23_48
<=> ! [X0] :
( ~ g_both(sK19,X0)
| g_false_only(sK19,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_48])]) ).
fof(f783,plain,
( ! [X2,X0,X1] :
( ~ g_both(sK19,X0)
| ~ h_both(sK19,X1)
| g_false_only(sK19,X0)
| h_false_only(sK19,X2)
| g_true_only(sK19,sK6(sK19)) )
| ~ spl23_8
| ~ spl23_24 ),
inference(resolution,[],[f146,f209]) ).
fof(f875,plain,
( ~ spl23_21
| ~ spl23_22
| ~ spl23_24
| ~ spl23_59
| spl23_60 ),
inference(avatar_contradiction_clause,[],[f874]) ).
fof(f874,plain,
( $false
| ~ spl23_21
| ~ spl23_22
| ~ spl23_24
| ~ spl23_59
| spl23_60 ),
inference(subsumption_resolution,[],[f873,f209]) ).
fof(f873,plain,
( h_true_only(sK19,sK18(sK19,sK20))
| ~ spl23_21
| ~ spl23_22
| ~ spl23_59
| spl23_60 ),
inference(subsumption_resolution,[],[f868,f860]) ).
fof(f860,plain,
( ~ h_false_only(sK19,sK18(sK19,sK20))
| ~ spl23_21
| ~ spl23_59
| spl23_60 ),
inference(resolution,[],[f852,f198]) ).
fof(f852,plain,
( g_true_only(sK19,sK20)
| ~ spl23_59
| spl23_60 ),
inference(subsumption_resolution,[],[f849,f714]) ).
fof(f714,plain,
( g_true(sK19,sK20)
| ~ spl23_59 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f713,plain,
( spl23_59
<=> g_true(sK19,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_59])]) ).
fof(f849,plain,
( g_true_only(sK19,sK20)
| ~ g_true(sK19,sK20)
| spl23_60 ),
inference(resolution,[],[f719,f102]) ).
fof(f102,plain,
! [X0,X1] :
( g_false(X0,X1)
| g_true_only(X0,X1)
| ~ g_true(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ( g_true_only(X0,X1)
| g_false(X0,X1)
| ~ g_true(X0,X1) )
& ( ( ~ g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_true_only(X0,X1) ) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ( g_true_only(X0,X1)
| g_false(X0,X1)
| ~ g_true(X0,X1) )
& ( ( ~ g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_true_only(X0,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( g_true_only(X0,X1)
<=> ( ~ g_false(X0,X1)
& g_true(X0,X1) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X3,X4] :
( g_true_only(X3,X4)
<=> ( ~ g_false(X3,X4)
& g_true(X3,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDaVL45foZ/Vampire---4.8_19727',true_only_g) ).
fof(f719,plain,
( ~ g_false(sK19,sK20)
| spl23_60 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f717,plain,
( spl23_60
<=> g_false(sK19,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_60])]) ).
fof(f868,plain,
( h_false_only(sK19,sK18(sK19,sK20))
| h_true_only(sK19,sK18(sK19,sK20))
| ~ spl23_22
| ~ spl23_59
| spl23_60 ),
inference(resolution,[],[f859,f96]) ).
fof(f859,plain,
( ~ h_both(sK19,sK18(sK19,sK20))
| ~ spl23_22
| ~ spl23_59
| spl23_60 ),
inference(resolution,[],[f852,f202]) ).
fof(f837,plain,
( spl23_28
| ~ spl23_14
| ~ spl23_23
| ~ spl23_36 ),
inference(avatar_split_clause,[],[f836,f292,f205,f169,f237]) ).
fof(f169,plain,
( spl23_14
<=> ! [X6,X0,X7] :
( h_true_only(X0,sK13(X0))
| ~ g_true_only(X0,X7)
| ~ h_both(X0,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_14])]) ).
fof(f836,plain,
( ! [X0] : ~ h_both(sK21,X0)
| ~ spl23_14
| ~ spl23_23
| ~ spl23_36 ),
inference(subsumption_resolution,[],[f833,f206]) ).
fof(f833,plain,
( ! [X0] :
( h_true_only(sK21,sK13(sK21))
| ~ h_both(sK21,X0) )
| ~ spl23_14
| ~ spl23_36 ),
inference(resolution,[],[f294,f170]) ).
fof(f170,plain,
( ! [X0,X6,X7] :
( ~ g_true_only(X0,X7)
| h_true_only(X0,sK13(X0))
| ~ h_both(X0,X6) )
| ~ spl23_14 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f829,plain,
( spl23_28
| ~ spl23_14
| ~ spl23_23
| spl23_25
| ~ spl23_29 ),
inference(avatar_split_clause,[],[f828,f240,f212,f205,f169,f237]) ).
fof(f828,plain,
( ! [X0] : ~ h_both(sK21,X0)
| ~ spl23_14
| ~ spl23_23
| spl23_25
| ~ spl23_29 ),
inference(subsumption_resolution,[],[f825,f206]) ).
fof(f825,plain,
( ! [X0] :
( h_true_only(sK21,sK13(sK21))
| ~ h_both(sK21,X0) )
| ~ spl23_14
| spl23_25
| ~ spl23_29 ),
inference(resolution,[],[f808,f170]) ).
fof(f808,plain,
( g_true_only(sK21,sK22)
| spl23_25
| ~ spl23_29 ),
inference(subsumption_resolution,[],[f798,f214]) ).
fof(f798,plain,
( g_false_only(sK21,sK22)
| g_true_only(sK21,sK22)
| spl23_25
| ~ spl23_29 ),
inference(resolution,[],[f788,f92]) ).
fof(f788,plain,
( ~ g_both(sK21,sK22)
| spl23_25
| ~ spl23_29 ),
inference(resolution,[],[f241,f214]) ).
fof(f767,plain,
( ~ spl23_18
| ~ spl23_34 ),
inference(avatar_contradiction_clause,[],[f766]) ).
fof(f766,plain,
( $false
| ~ spl23_18
| ~ spl23_34 ),
inference(subsumption_resolution,[],[f272,f185]) ).
fof(f185,plain,
( ! [X2] : ~ g_true_only(sK14,X2)
| ~ spl23_18 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl23_18
<=> ! [X2] : ~ g_true_only(sK14,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_18])]) ).
fof(f272,plain,
( g_true_only(sK14,sK11(sK14))
| ~ spl23_34 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f270,plain,
( spl23_34
<=> g_true_only(sK14,sK11(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_34])]) ).
fof(f765,plain,
( ~ spl23_19
| ~ spl23_35 ),
inference(avatar_contradiction_clause,[],[f764]) ).
fof(f764,plain,
( $false
| ~ spl23_19
| ~ spl23_35 ),
inference(subsumption_resolution,[],[f190,f275]) ).
fof(f275,plain,
( ! [X0] : ~ g_both(sK14,X0)
| ~ spl23_35 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl23_35
<=> ! [X0] : ~ g_both(sK14,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_35])]) ).
fof(f190,plain,
( g_both(sK14,sK15)
| ~ spl23_19 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f188,plain,
( spl23_19
<=> g_both(sK14,sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_19])]) ).
fof(f763,plain,
( spl23_44
| ~ spl23_12
| ~ spl23_13
| ~ spl23_62 ),
inference(avatar_split_clause,[],[f762,f750,f165,f161,f396]) ).
fof(f161,plain,
( spl23_12
<=> ! [X0,X3] :
( ~ h_false_only(X0,sK10(X0))
| ~ g_both(X0,X3)
| g_true_only(X0,sK11(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_12])]) ).
fof(f165,plain,
( spl23_13
<=> ! [X0,X7] :
( ~ h_false_only(X0,sK12(X0))
| ~ g_true_only(X0,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_13])]) ).
fof(f762,plain,
( ! [X0] : ~ g_both(sK19,X0)
| ~ spl23_12
| ~ spl23_13
| ~ spl23_62 ),
inference(subsumption_resolution,[],[f761,f760]) ).
fof(f760,plain,
( ! [X0] : ~ g_true_only(sK19,X0)
| ~ spl23_13
| ~ spl23_62 ),
inference(resolution,[],[f751,f166]) ).
fof(f166,plain,
( ! [X0,X7] :
( ~ h_false_only(X0,sK12(X0))
| ~ g_true_only(X0,X7) )
| ~ spl23_13 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f761,plain,
( ! [X0] :
( ~ g_both(sK19,X0)
| g_true_only(sK19,sK11(sK19)) )
| ~ spl23_12
| ~ spl23_62 ),
inference(resolution,[],[f751,f162]) ).
fof(f162,plain,
( ! [X3,X0] :
( ~ h_false_only(X0,sK10(X0))
| ~ g_both(X0,X3)
| g_true_only(X0,sK11(X0)) )
| ~ spl23_12 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f757,plain,
( spl23_42
| ~ spl23_14
| ~ spl23_24
| ~ spl23_61 ),
inference(avatar_split_clause,[],[f756,f746,f208,f169,f389]) ).
fof(f756,plain,
( ! [X0] : ~ h_both(sK19,X0)
| ~ spl23_14
| ~ spl23_24
| ~ spl23_61 ),
inference(subsumption_resolution,[],[f753,f209]) ).
fof(f753,plain,
( ! [X0] :
( h_true_only(sK19,sK13(sK19))
| ~ h_both(sK19,X0) )
| ~ spl23_14
| ~ spl23_61 ),
inference(resolution,[],[f748,f170]) ).
fof(f743,plain,
( spl23_42
| ~ spl23_14
| ~ spl23_24
| spl23_26
| ~ spl23_48 ),
inference(avatar_split_clause,[],[f742,f466,f217,f208,f169,f389]) ).
fof(f217,plain,
( spl23_26
<=> g_false_only(sK19,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_26])]) ).
fof(f742,plain,
( ! [X0] : ~ h_both(sK19,X0)
| ~ spl23_14
| ~ spl23_24
| spl23_26
| ~ spl23_48 ),
inference(subsumption_resolution,[],[f739,f209]) ).
fof(f739,plain,
( ! [X0] :
( h_true_only(sK19,sK13(sK19))
| ~ h_both(sK19,X0) )
| ~ spl23_14
| spl23_26
| ~ spl23_48 ),
inference(resolution,[],[f721,f170]) ).
fof(f721,plain,
( g_true_only(sK19,sK20)
| spl23_26
| ~ spl23_48 ),
inference(subsumption_resolution,[],[f711,f219]) ).
fof(f219,plain,
( ~ g_false_only(sK19,sK20)
| spl23_26 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f711,plain,
( g_false_only(sK19,sK20)
| g_true_only(sK19,sK20)
| spl23_26
| ~ spl23_48 ),
inference(resolution,[],[f705,f92]) ).
fof(f705,plain,
( ~ g_both(sK19,sK20)
| spl23_26
| ~ spl23_48 ),
inference(resolution,[],[f467,f219]) ).
fof(f467,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| ~ g_both(sK19,X0) )
| ~ spl23_48 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f725,plain,
( spl23_26
| spl23_59 ),
inference(avatar_contradiction_clause,[],[f724]) ).
fof(f724,plain,
( $false
| spl23_26
| spl23_59 ),
inference(subsumption_resolution,[],[f722,f219]) ).
fof(f722,plain,
( g_false_only(sK19,sK20)
| spl23_59 ),
inference(resolution,[],[f715,f223]) ).
fof(f223,plain,
! [X0,X1] :
( g_true(X0,X1)
| g_false_only(X0,X1) ),
inference(subsumption_resolution,[],[f222,f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ g_true_only(X0,X1)
| g_true(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f222,plain,
! [X0,X1] :
( g_false_only(X0,X1)
| g_true_only(X0,X1)
| g_true(X0,X1) ),
inference(resolution,[],[f92,f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ g_both(X0,X1)
| g_true(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( g_both(X0,X1)
| ~ g_false(X0,X1)
| ~ g_true(X0,X1) )
& ( ( g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_both(X0,X1) ) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ( g_both(X0,X1)
| ~ g_false(X0,X1)
| ~ g_true(X0,X1) )
& ( ( g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_both(X0,X1) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( g_both(X0,X1)
<=> ( g_false(X0,X1)
& g_true(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X3,X4] :
( g_both(X3,X4)
<=> ( g_false(X3,X4)
& g_true(X3,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDaVL45foZ/Vampire---4.8_19727',both_g) ).
fof(f715,plain,
( ~ g_true(sK19,sK20)
| spl23_59 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f720,plain,
( ~ spl23_59
| ~ spl23_60
| spl23_26
| ~ spl23_48 ),
inference(avatar_split_clause,[],[f710,f466,f217,f717,f713]) ).
fof(f710,plain,
( ~ g_false(sK19,sK20)
| ~ g_true(sK19,sK20)
| spl23_26
| ~ spl23_48 ),
inference(resolution,[],[f705,f111]) ).
fof(f111,plain,
! [X0,X1] :
( g_both(X0,X1)
| ~ g_false(X0,X1)
| ~ g_true(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f697,plain,
( spl23_4
| ~ spl23_2
| ~ spl23_54 ),
inference(avatar_split_clause,[],[f696,f662,f119,f127]) ).
fof(f662,plain,
( spl23_54
<=> ! [X0] : ~ h_both(sK4,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_54])]) ).
fof(f696,plain,
( ! [X0] : h_false_only(sK4,X0)
| ~ spl23_2
| ~ spl23_54 ),
inference(subsumption_resolution,[],[f693,f677]) ).
fof(f677,plain,
( ! [X0] : ~ h_true_only(sK4,X0)
| ~ spl23_2 ),
inference(resolution,[],[f672,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ h_false(X0,X1)
| ~ h_true_only(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ( h_true_only(X0,X1)
| h_false(X0,X1)
| ~ h_true(X0,X1) )
& ( ( ~ h_false(X0,X1)
& h_true(X0,X1) )
| ~ h_true_only(X0,X1) ) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ( h_true_only(X0,X1)
| h_false(X0,X1)
| ~ h_true(X0,X1) )
& ( ( ~ h_false(X0,X1)
& h_true(X0,X1) )
| ~ h_true_only(X0,X1) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( h_true_only(X0,X1)
<=> ( ~ h_false(X0,X1)
& h_true(X0,X1) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X3,X4] :
( h_true_only(X3,X4)
<=> ( ~ h_false(X3,X4)
& h_true(X3,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDaVL45foZ/Vampire---4.8_19727',true_only_h) ).
fof(f672,plain,
( ! [X0] : h_false(sK4,X0)
| ~ spl23_2 ),
inference(subsumption_resolution,[],[f671,f106]) ).
fof(f106,plain,
! [X0,X1] :
( ~ h_false_only(X0,X1)
| h_false(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ( h_false_only(X0,X1)
| h_true(X0,X1)
| ~ h_false(X0,X1) )
& ( ( ~ h_true(X0,X1)
& h_false(X0,X1) )
| ~ h_false_only(X0,X1) ) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ( h_false_only(X0,X1)
| h_true(X0,X1)
| ~ h_false(X0,X1) )
& ( ( ~ h_true(X0,X1)
& h_false(X0,X1) )
| ~ h_false_only(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( h_false_only(X0,X1)
<=> ( ~ h_true(X0,X1)
& h_false(X0,X1) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X4] :
( h_false_only(X3,X4)
<=> ( ~ h_true(X3,X4)
& h_false(X3,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDaVL45foZ/Vampire---4.8_19727',false_only_h) ).
fof(f671,plain,
( ! [X0] :
( h_false_only(sK4,X0)
| h_false(sK4,X0) )
| ~ spl23_2 ),
inference(resolution,[],[f120,f104]) ).
fof(f104,plain,
! [X0,X1] :
( ~ h_both(X0,X1)
| h_false(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ( h_both(X0,X1)
| ~ h_false(X0,X1)
| ~ h_true(X0,X1) )
& ( ( h_false(X0,X1)
& h_true(X0,X1) )
| ~ h_both(X0,X1) ) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( h_both(X0,X1)
| ~ h_false(X0,X1)
| ~ h_true(X0,X1) )
& ( ( h_false(X0,X1)
& h_true(X0,X1) )
| ~ h_both(X0,X1) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( h_both(X0,X1)
<=> ( h_false(X0,X1)
& h_true(X0,X1) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X3,X4] :
( h_both(X3,X4)
<=> ( h_false(X3,X4)
& h_true(X3,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDaVL45foZ/Vampire---4.8_19727',both_h) ).
fof(f693,plain,
( ! [X0] :
( h_true_only(sK4,X0)
| h_false_only(sK4,X0) )
| ~ spl23_54 ),
inference(resolution,[],[f663,f96]) ).
fof(f663,plain,
( ! [X0] : ~ h_both(sK4,X0)
| ~ spl23_54 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f689,plain,
( ~ spl23_2
| ~ spl23_55 ),
inference(avatar_contradiction_clause,[],[f688]) ).
fof(f688,plain,
( $false
| ~ spl23_2
| ~ spl23_55 ),
inference(resolution,[],[f677,f667]) ).
fof(f667,plain,
( h_true_only(sK4,sK13(sK4))
| ~ spl23_55 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f665,plain,
( spl23_55
<=> h_true_only(sK4,sK13(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_55])]) ).
fof(f668,plain,
( spl23_54
| spl23_55
| ~ spl23_3
| ~ spl23_14 ),
inference(avatar_split_clause,[],[f658,f169,f123,f665,f662]) ).
fof(f658,plain,
( ! [X0] :
( h_true_only(sK4,sK13(sK4))
| ~ h_both(sK4,X0) )
| ~ spl23_3
| ~ spl23_14 ),
inference(resolution,[],[f125,f170]) ).
fof(f657,plain,
( ~ spl23_3
| ~ spl23_4
| ~ spl23_13 ),
inference(avatar_contradiction_clause,[],[f656]) ).
fof(f656,plain,
( $false
| ~ spl23_3
| ~ spl23_4
| ~ spl23_13 ),
inference(subsumption_resolution,[],[f125,f638]) ).
fof(f638,plain,
( ! [X0] : ~ g_true_only(sK4,X0)
| ~ spl23_4
| ~ spl23_13 ),
inference(resolution,[],[f128,f166]) ).
fof(f654,plain,
( ~ spl23_4
| ~ spl23_5
| ~ spl23_12
| ~ spl23_13 ),
inference(avatar_contradiction_clause,[],[f650]) ).
fof(f650,plain,
( $false
| ~ spl23_4
| ~ spl23_5
| ~ spl23_12
| ~ spl23_13 ),
inference(resolution,[],[f640,f133]) ).
fof(f640,plain,
( ! [X0] : ~ g_both(sK4,X0)
| ~ spl23_4
| ~ spl23_12
| ~ spl23_13 ),
inference(subsumption_resolution,[],[f639,f638]) ).
fof(f639,plain,
( ! [X0] :
( ~ g_both(sK4,X0)
| g_true_only(sK4,sK11(sK4)) )
| ~ spl23_4
| ~ spl23_12 ),
inference(resolution,[],[f128,f162]) ).
fof(f631,plain,
( spl23_42
| ~ spl23_14
| ~ spl23_24
| ~ spl23_43 ),
inference(avatar_split_clause,[],[f630,f392,f208,f169,f389]) ).
fof(f392,plain,
( spl23_43
<=> g_true_only(sK19,sK17(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_43])]) ).
fof(f630,plain,
( ! [X0] : ~ h_both(sK19,X0)
| ~ spl23_14
| ~ spl23_24
| ~ spl23_43 ),
inference(subsumption_resolution,[],[f626,f209]) ).
fof(f626,plain,
( ! [X0] :
( h_true_only(sK19,sK13(sK19))
| ~ h_both(sK19,X0) )
| ~ spl23_14
| ~ spl23_43 ),
inference(resolution,[],[f394,f170]) ).
fof(f394,plain,
( g_true_only(sK19,sK17(sK19))
| ~ spl23_43 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f621,plain,
( spl23_28
| ~ spl23_14
| ~ spl23_23
| ~ spl23_30 ),
inference(avatar_split_clause,[],[f620,f245,f205,f169,f237]) ).
fof(f245,plain,
( spl23_30
<=> g_true_only(sK21,sK17(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_30])]) ).
fof(f620,plain,
( ! [X0] : ~ h_both(sK21,X0)
| ~ spl23_14
| ~ spl23_23
| ~ spl23_30 ),
inference(subsumption_resolution,[],[f616,f206]) ).
fof(f616,plain,
( ! [X0] :
( h_true_only(sK21,sK13(sK21))
| ~ h_both(sK21,X0) )
| ~ spl23_14
| ~ spl23_30 ),
inference(resolution,[],[f247,f170]) ).
fof(f247,plain,
( g_true_only(sK21,sK17(sK21))
| ~ spl23_30 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f615,plain,
( spl23_28
| spl23_30
| spl23_31
| ~ spl23_15
| ~ spl23_23 ),
inference(avatar_split_clause,[],[f594,f205,f173,f249,f245,f237]) ).
fof(f249,plain,
( spl23_31
<=> ! [X0] : ~ g_both(sK21,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_31])]) ).
fof(f173,plain,
( spl23_15
<=> ! [X6,X4,X8] :
( h_true_only(X4,sK16(X4))
| ~ g_both(X4,X8)
| g_true_only(X4,sK17(X4))
| ~ h_both(X4,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_15])]) ).
fof(f594,plain,
( ! [X0,X1] :
( ~ g_both(sK21,X0)
| g_true_only(sK21,sK17(sK21))
| ~ h_both(sK21,X1) )
| ~ spl23_15
| ~ spl23_23 ),
inference(resolution,[],[f206,f174]) ).
fof(f174,plain,
( ! [X8,X6,X4] :
( h_true_only(X4,sK16(X4))
| ~ g_both(X4,X8)
| g_true_only(X4,sK17(X4))
| ~ h_both(X4,X6) )
| ~ spl23_15 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f614,plain,
( spl23_28
| ~ spl23_14
| ~ spl23_23
| spl23_25
| ~ spl23_31 ),
inference(avatar_split_clause,[],[f613,f249,f212,f205,f169,f237]) ).
fof(f613,plain,
( ! [X0] : ~ h_both(sK21,X0)
| ~ spl23_14
| ~ spl23_23
| spl23_25
| ~ spl23_31 ),
inference(subsumption_resolution,[],[f606,f206]) ).
fof(f606,plain,
( ! [X0] :
( h_true_only(sK21,sK13(sK21))
| ~ h_both(sK21,X0) )
| ~ spl23_14
| spl23_25
| ~ spl23_31 ),
inference(resolution,[],[f595,f170]) ).
fof(f595,plain,
( g_true_only(sK21,sK22)
| spl23_25
| ~ spl23_31 ),
inference(resolution,[],[f214,f547]) ).
fof(f547,plain,
( ! [X0] :
( g_false_only(sK21,X0)
| g_true_only(sK21,X0) )
| ~ spl23_31 ),
inference(resolution,[],[f250,f92]) ).
fof(f250,plain,
( ! [X0] : ~ g_both(sK21,X0)
| ~ spl23_31 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f610,plain,
( ~ spl23_13
| spl23_25
| ~ spl23_31
| ~ spl23_37 ),
inference(avatar_contradiction_clause,[],[f605]) ).
fof(f605,plain,
( $false
| ~ spl23_13
| spl23_25
| ~ spl23_31
| ~ spl23_37 ),
inference(resolution,[],[f595,f598]) ).
fof(f598,plain,
( ! [X0] : ~ g_true_only(sK21,X0)
| ~ spl23_13
| ~ spl23_37 ),
inference(resolution,[],[f297,f166]) ).
fof(f297,plain,
( ! [X2] : h_false_only(sK21,X2)
| ~ spl23_37 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f592,plain,
( spl23_42
| ~ spl23_14
| ~ spl23_24
| spl23_26
| ~ spl23_44 ),
inference(avatar_split_clause,[],[f591,f396,f217,f208,f169,f389]) ).
fof(f591,plain,
( ! [X0] : ~ h_both(sK19,X0)
| ~ spl23_14
| ~ spl23_24
| spl23_26
| ~ spl23_44 ),
inference(subsumption_resolution,[],[f587,f209]) ).
fof(f587,plain,
( ! [X0] :
( h_true_only(sK19,sK13(sK19))
| ~ h_both(sK19,X0) )
| ~ spl23_14
| spl23_26
| ~ spl23_44 ),
inference(resolution,[],[f585,f170]) ).
fof(f585,plain,
( g_true_only(sK19,sK20)
| spl23_26
| ~ spl23_44 ),
inference(resolution,[],[f564,f219]) ).
fof(f564,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| g_true_only(sK19,X0) )
| ~ spl23_44 ),
inference(resolution,[],[f397,f92]) ).
fof(f397,plain,
( ! [X0] : ~ g_both(sK19,X0)
| ~ spl23_44 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f570,plain,
( ~ spl23_13
| ~ spl23_24
| spl23_26
| ~ spl23_42
| ~ spl23_44 ),
inference(avatar_contradiction_clause,[],[f568]) ).
fof(f568,plain,
( $false
| ~ spl23_13
| ~ spl23_24
| spl23_26
| ~ spl23_42
| ~ spl23_44 ),
inference(resolution,[],[f567,f219]) ).
fof(f567,plain,
( ! [X0] : g_false_only(sK19,X0)
| ~ spl23_13
| ~ spl23_24
| ~ spl23_42
| ~ spl23_44 ),
inference(subsumption_resolution,[],[f564,f557]) ).
fof(f557,plain,
( ! [X0] : ~ g_true_only(sK19,X0)
| ~ spl23_13
| ~ spl23_24
| ~ spl23_42 ),
inference(resolution,[],[f542,f166]) ).
fof(f542,plain,
( ! [X0] : h_false_only(sK19,X0)
| ~ spl23_24
| ~ spl23_42 ),
inference(subsumption_resolution,[],[f541,f209]) ).
fof(f541,plain,
( ! [X0] :
( h_false_only(sK19,X0)
| h_true_only(sK19,X0) )
| ~ spl23_42 ),
inference(resolution,[],[f390,f96]) ).
fof(f390,plain,
( ! [X1] : ~ h_both(sK19,X1)
| ~ spl23_42 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f562,plain,
( spl23_23
| ~ spl23_37 ),
inference(avatar_split_clause,[],[f553,f296,f205]) ).
fof(f553,plain,
( ! [X0] : ~ h_true_only(sK21,X0)
| ~ spl23_37 ),
inference(resolution,[],[f536,f97]) ).
fof(f97,plain,
! [X0,X1] :
( h_true(X0,X1)
| ~ h_true_only(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f536,plain,
( ! [X0] : ~ h_true(sK21,X0)
| ~ spl23_37 ),
inference(resolution,[],[f297,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ h_false_only(X0,X1)
| ~ h_true(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f560,plain,
( spl23_44
| ~ spl23_12
| ~ spl23_13
| ~ spl23_24
| ~ spl23_42 ),
inference(avatar_split_clause,[],[f559,f389,f208,f165,f161,f396]) ).
fof(f559,plain,
( ! [X0] : ~ g_both(sK19,X0)
| ~ spl23_12
| ~ spl23_13
| ~ spl23_24
| ~ spl23_42 ),
inference(subsumption_resolution,[],[f558,f557]) ).
fof(f558,plain,
( ! [X0] :
( ~ g_both(sK19,X0)
| g_true_only(sK19,sK11(sK19)) )
| ~ spl23_12
| ~ spl23_24
| ~ spl23_42 ),
inference(resolution,[],[f542,f162]) ).
fof(f545,plain,
( spl23_31
| ~ spl23_12
| ~ spl23_13
| ~ spl23_37 ),
inference(avatar_split_clause,[],[f544,f296,f165,f161,f249]) ).
fof(f544,plain,
( ! [X0] : ~ g_both(sK21,X0)
| ~ spl23_12
| ~ spl23_13
| ~ spl23_37 ),
inference(subsumption_resolution,[],[f543,f538]) ).
fof(f538,plain,
( ! [X0] : ~ g_true_only(sK21,X0)
| ~ spl23_13
| ~ spl23_37 ),
inference(resolution,[],[f297,f166]) ).
fof(f543,plain,
( ! [X0] :
( ~ g_both(sK21,X0)
| g_true_only(sK21,sK11(sK21)) )
| ~ spl23_12
| ~ spl23_37 ),
inference(resolution,[],[f162,f297]) ).
fof(f532,plain,
( ~ spl23_21
| ~ spl23_22
| ~ spl23_23
| ~ spl23_30 ),
inference(avatar_contradiction_clause,[],[f531]) ).
fof(f531,plain,
( $false
| ~ spl23_21
| ~ spl23_22
| ~ spl23_23
| ~ spl23_30 ),
inference(subsumption_resolution,[],[f530,f206]) ).
fof(f530,plain,
( h_true_only(sK21,sK18(sK21,sK17(sK21)))
| ~ spl23_21
| ~ spl23_22
| ~ spl23_30 ),
inference(subsumption_resolution,[],[f513,f497]) ).
fof(f497,plain,
( ~ h_false_only(sK21,sK18(sK21,sK17(sK21)))
| ~ spl23_21
| ~ spl23_30 ),
inference(resolution,[],[f247,f198]) ).
fof(f513,plain,
( h_false_only(sK21,sK18(sK21,sK17(sK21)))
| h_true_only(sK21,sK18(sK21,sK17(sK21)))
| ~ spl23_22
| ~ spl23_30 ),
inference(resolution,[],[f496,f96]) ).
fof(f496,plain,
( ~ h_both(sK21,sK18(sK21,sK17(sK21)))
| ~ spl23_22
| ~ spl23_30 ),
inference(resolution,[],[f247,f202]) ).
fof(f490,plain,
( spl23_31
| ~ spl23_20
| ~ spl23_37 ),
inference(avatar_split_clause,[],[f489,f296,f193,f249]) ).
fof(f489,plain,
( ! [X0] : ~ g_both(sK21,X0)
| ~ spl23_20
| ~ spl23_37 ),
inference(resolution,[],[f297,f194]) ).
fof(f486,plain,
( spl23_37
| ~ spl23_23
| ~ spl23_28 ),
inference(avatar_split_clause,[],[f485,f237,f205,f296]) ).
fof(f485,plain,
( ! [X0] : h_false_only(sK21,X0)
| ~ spl23_23
| ~ spl23_28 ),
inference(subsumption_resolution,[],[f484,f206]) ).
fof(f484,plain,
( ! [X0] :
( h_false_only(sK21,X0)
| h_true_only(sK21,X0) )
| ~ spl23_28 ),
inference(resolution,[],[f238,f96]) ).
fof(f238,plain,
( ! [X1] : ~ h_both(sK21,X1)
| ~ spl23_28 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f480,plain,
( ~ spl23_21
| ~ spl23_22
| ~ spl23_24
| ~ spl23_43 ),
inference(avatar_contradiction_clause,[],[f479]) ).
fof(f479,plain,
( $false
| ~ spl23_21
| ~ spl23_22
| ~ spl23_24
| ~ spl23_43 ),
inference(subsumption_resolution,[],[f478,f209]) ).
fof(f478,plain,
( h_true_only(sK19,sK18(sK19,sK17(sK19)))
| ~ spl23_21
| ~ spl23_22
| ~ spl23_43 ),
inference(subsumption_resolution,[],[f458,f447]) ).
fof(f447,plain,
( ~ h_false_only(sK19,sK18(sK19,sK17(sK19)))
| ~ spl23_21
| ~ spl23_43 ),
inference(resolution,[],[f394,f198]) ).
fof(f458,plain,
( h_false_only(sK19,sK18(sK19,sK17(sK19)))
| h_true_only(sK19,sK18(sK19,sK17(sK19)))
| ~ spl23_22
| ~ spl23_43 ),
inference(resolution,[],[f446,f96]) ).
fof(f446,plain,
( ~ h_both(sK19,sK18(sK19,sK17(sK19)))
| ~ spl23_22
| ~ spl23_43 ),
inference(resolution,[],[f394,f202]) ).
fof(f445,plain,
( spl23_44
| ~ spl23_20
| ~ spl23_24
| ~ spl23_42 ),
inference(avatar_split_clause,[],[f444,f389,f208,f193,f396]) ).
fof(f444,plain,
( ! [X0] : ~ g_both(sK19,X0)
| ~ spl23_20
| ~ spl23_24
| ~ spl23_42 ),
inference(resolution,[],[f441,f194]) ).
fof(f441,plain,
( ! [X0] : h_false_only(sK19,X0)
| ~ spl23_24
| ~ spl23_42 ),
inference(subsumption_resolution,[],[f440,f209]) ).
fof(f440,plain,
( ! [X0] :
( h_false_only(sK19,X0)
| h_true_only(sK19,X0) )
| ~ spl23_42 ),
inference(resolution,[],[f390,f96]) ).
fof(f437,plain,
( ~ spl23_21
| ~ spl23_22
| ~ spl23_24
| spl23_26
| ~ spl23_44 ),
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f436,plain,
( $false
| ~ spl23_21
| ~ spl23_22
| ~ spl23_24
| spl23_26
| ~ spl23_44 ),
inference(subsumption_resolution,[],[f435,f209]) ).
fof(f435,plain,
( h_true_only(sK19,sK18(sK19,sK20))
| ~ spl23_21
| ~ spl23_22
| spl23_26
| ~ spl23_44 ),
inference(subsumption_resolution,[],[f425,f409]) ).
fof(f409,plain,
( ~ h_false_only(sK19,sK18(sK19,sK20))
| ~ spl23_21
| spl23_26
| ~ spl23_44 ),
inference(resolution,[],[f406,f198]) ).
fof(f406,plain,
( g_true_only(sK19,sK20)
| spl23_26
| ~ spl23_44 ),
inference(resolution,[],[f400,f219]) ).
fof(f400,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| g_true_only(sK19,X0) )
| ~ spl23_44 ),
inference(resolution,[],[f397,f92]) ).
fof(f425,plain,
( h_false_only(sK19,sK18(sK19,sK20))
| h_true_only(sK19,sK18(sK19,sK20))
| ~ spl23_22
| spl23_26
| ~ spl23_44 ),
inference(resolution,[],[f408,f96]) ).
fof(f408,plain,
( ~ h_both(sK19,sK18(sK19,sK20))
| ~ spl23_22
| spl23_26
| ~ spl23_44 ),
inference(resolution,[],[f406,f202]) ).
fof(f398,plain,
( spl23_42
| spl23_43
| spl23_44
| ~ spl23_15
| ~ spl23_24 ),
inference(avatar_split_clause,[],[f387,f208,f173,f396,f392,f389]) ).
fof(f387,plain,
( ! [X0,X1] :
( ~ g_both(sK19,X0)
| g_true_only(sK19,sK17(sK19))
| ~ h_both(sK19,X1) )
| ~ spl23_15
| ~ spl23_24 ),
inference(resolution,[],[f209,f174]) ).
fof(f386,plain,
( ~ spl23_21
| ~ spl23_22
| ~ spl23_23
| spl23_25
| ~ spl23_31 ),
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f385,plain,
( $false
| ~ spl23_21
| ~ spl23_22
| ~ spl23_23
| spl23_25
| ~ spl23_31 ),
inference(subsumption_resolution,[],[f384,f206]) ).
fof(f384,plain,
( h_true_only(sK21,sK18(sK21,sK22))
| ~ spl23_21
| ~ spl23_22
| spl23_25
| ~ spl23_31 ),
inference(subsumption_resolution,[],[f374,f357]) ).
fof(f357,plain,
( ~ h_false_only(sK21,sK18(sK21,sK22))
| ~ spl23_21
| spl23_25
| ~ spl23_31 ),
inference(resolution,[],[f353,f198]) ).
fof(f353,plain,
( g_true_only(sK21,sK22)
| spl23_25
| ~ spl23_31 ),
inference(resolution,[],[f347,f214]) ).
fof(f347,plain,
( ! [X0] :
( g_false_only(sK21,X0)
| g_true_only(sK21,X0) )
| ~ spl23_31 ),
inference(resolution,[],[f250,f92]) ).
fof(f374,plain,
( h_false_only(sK21,sK18(sK21,sK22))
| h_true_only(sK21,sK18(sK21,sK22))
| ~ spl23_22
| spl23_25
| ~ spl23_31 ),
inference(resolution,[],[f356,f96]) ).
fof(f356,plain,
( ~ h_both(sK21,sK18(sK21,sK22))
| ~ spl23_22
| spl23_25
| ~ spl23_31 ),
inference(resolution,[],[f353,f202]) ).
fof(f343,plain,
( ~ spl23_16
| ~ spl23_21
| ~ spl23_22
| ~ spl23_33 ),
inference(avatar_contradiction_clause,[],[f342]) ).
fof(f342,plain,
( $false
| ~ spl23_16
| ~ spl23_21
| ~ spl23_22
| ~ spl23_33 ),
inference(subsumption_resolution,[],[f341,f262]) ).
fof(f262,plain,
( ! [X0] : ~ h_true_only(sK14,X0)
| ~ spl23_33 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl23_33
<=> ! [X0] : ~ h_true_only(sK14,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_33])]) ).
fof(f341,plain,
( h_true_only(sK14,sK18(sK14,sK9(sK14)))
| ~ spl23_16
| ~ spl23_21
| ~ spl23_22 ),
inference(subsumption_resolution,[],[f331,f304]) ).
fof(f304,plain,
( ~ h_false_only(sK14,sK18(sK14,sK9(sK14)))
| ~ spl23_16
| ~ spl23_21 ),
inference(resolution,[],[f254,f198]) ).
fof(f254,plain,
( g_true_only(sK14,sK9(sK14))
| ~ spl23_16 ),
inference(resolution,[],[f178,f76]) ).
fof(f76,plain,
! [X0] :
( ~ sP1(X0)
| g_true_only(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ( ( ! [X1] : h_false_only(X0,X1)
| ( ! [X2] : ~ h_true_only(X0,X2)
& h_both(X0,sK8(X0)) ) )
& g_true_only(X0,sK9(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f35,f37,f36]) ).
fof(f36,plain,
! [X0] :
( ? [X3] : h_both(X0,X3)
=> h_both(X0,sK8(X0)) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0] :
( ? [X4] : g_true_only(X0,X4)
=> g_true_only(X0,sK9(X0)) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0] :
( ( ( ! [X1] : h_false_only(X0,X1)
| ( ! [X2] : ~ h_true_only(X0,X2)
& ? [X3] : h_both(X0,X3) ) )
& ? [X4] : g_true_only(X0,X4) )
| ~ sP1(X0) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X9] :
( ( ( ! [X13] : h_false_only(X9,X13)
| ( ! [X14] : ~ h_true_only(X9,X14)
& ? [X15] : h_both(X9,X15) ) )
& ? [X16] : g_true_only(X9,X16) )
| ~ sP1(X9) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X9] :
( ( ( ! [X13] : h_false_only(X9,X13)
| ( ! [X14] : ~ h_true_only(X9,X14)
& ? [X15] : h_both(X9,X15) ) )
& ? [X16] : g_true_only(X9,X16) )
| ~ sP1(X9) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f178,plain,
( sP1(sK14)
| ~ spl23_16 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f176,plain,
( spl23_16
<=> sP1(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_16])]) ).
fof(f331,plain,
( h_false_only(sK14,sK18(sK14,sK9(sK14)))
| h_true_only(sK14,sK18(sK14,sK9(sK14)))
| ~ spl23_16
| ~ spl23_22 ),
inference(resolution,[],[f303,f96]) ).
fof(f303,plain,
( ~ h_both(sK14,sK18(sK14,sK9(sK14)))
| ~ spl23_16
| ~ spl23_22 ),
inference(resolution,[],[f254,f202]) ).
fof(f313,plain,
( ~ spl23_14
| ~ spl23_16
| ~ spl23_32
| ~ spl23_33 ),
inference(avatar_contradiction_clause,[],[f312]) ).
fof(f312,plain,
( $false
| ~ spl23_14
| ~ spl23_16
| ~ spl23_32
| ~ spl23_33 ),
inference(subsumption_resolution,[],[f258,f311]) ).
fof(f311,plain,
( ! [X0] : ~ h_both(sK14,X0)
| ~ spl23_14
| ~ spl23_16
| ~ spl23_33 ),
inference(subsumption_resolution,[],[f305,f262]) ).
fof(f305,plain,
( ! [X0] :
( h_true_only(sK14,sK13(sK14))
| ~ h_both(sK14,X0) )
| ~ spl23_14
| ~ spl23_16 ),
inference(resolution,[],[f254,f170]) ).
fof(f258,plain,
( h_both(sK14,sK8(sK14))
| ~ spl23_32 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f256,plain,
( spl23_32
<=> h_both(sK14,sK8(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_32])]) ).
fof(f310,plain,
( ~ spl23_16
| ~ spl23_17
| ~ spl23_21 ),
inference(avatar_contradiction_clause,[],[f309]) ).
fof(f309,plain,
( $false
| ~ spl23_16
| ~ spl23_17
| ~ spl23_21 ),
inference(subsumption_resolution,[],[f304,f181]) ).
fof(f181,plain,
( ! [X1] : h_false_only(sK14,X1)
| ~ spl23_17 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl23_17
<=> ! [X1] : h_false_only(sK14,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_17])]) ).
fof(f308,plain,
( ~ spl23_16
| ~ spl23_18 ),
inference(avatar_contradiction_clause,[],[f302]) ).
fof(f302,plain,
( $false
| ~ spl23_16
| ~ spl23_18 ),
inference(resolution,[],[f254,f185]) ).
fof(f282,plain,
( spl23_35
| ~ spl23_17
| ~ spl23_20 ),
inference(avatar_split_clause,[],[f281,f193,f180,f274]) ).
fof(f281,plain,
( ! [X0] : ~ g_both(sK14,X0)
| ~ spl23_17
| ~ spl23_20 ),
inference(resolution,[],[f194,f181]) ).
fof(f276,plain,
( spl23_34
| spl23_35
| ~ spl23_12
| ~ spl23_17 ),
inference(avatar_split_clause,[],[f267,f180,f161,f274,f270]) ).
fof(f267,plain,
( ! [X0] :
( ~ g_both(sK14,X0)
| g_true_only(sK14,sK11(sK14)) )
| ~ spl23_12
| ~ spl23_17 ),
inference(resolution,[],[f181,f162]) ).
fof(f268,plain,
( spl23_18
| ~ spl23_13
| ~ spl23_17 ),
inference(avatar_split_clause,[],[f266,f180,f165,f184]) ).
fof(f266,plain,
( ! [X0] : ~ g_true_only(sK14,X0)
| ~ spl23_13
| ~ spl23_17 ),
inference(resolution,[],[f181,f166]) ).
fof(f263,plain,
( spl23_17
| spl23_33
| ~ spl23_16 ),
inference(avatar_split_clause,[],[f253,f176,f261,f180]) ).
fof(f253,plain,
( ! [X0,X1] :
( ~ h_true_only(sK14,X0)
| h_false_only(sK14,X1) )
| ~ spl23_16 ),
inference(resolution,[],[f178,f78]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ sP1(X0)
| ~ h_true_only(X0,X2)
| h_false_only(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f259,plain,
( spl23_17
| spl23_32
| ~ spl23_16 ),
inference(avatar_split_clause,[],[f252,f176,f256,f180]) ).
fof(f252,plain,
( ! [X0] :
( h_both(sK14,sK8(sK14))
| h_false_only(sK14,X0) )
| ~ spl23_16 ),
inference(resolution,[],[f178,f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ sP1(X0)
| h_both(X0,sK8(X0))
| h_false_only(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f221,plain,
( ~ spl23_25
| ~ spl23_26 ),
inference(avatar_split_clause,[],[f82,f217,f212]) ).
fof(f82,plain,
( ~ g_false_only(sK19,sK20)
| ~ g_false_only(sK21,sK22) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( sP3
| sP2
| ( ! [X1] : h_false_only(sK14,X1)
& ! [X2] : ~ g_true_only(sK14,X2)
& g_both(sK14,sK15) )
| sP1(sK14)
| ! [X4] :
( h_true_only(X4,sK16(X4))
| ! [X6] : ~ h_both(X4,X6)
| g_true_only(X4,sK17(X4))
| ! [X8] : ~ g_both(X4,X8) ) )
& ( ! [X9,X10] :
( ( ~ h_false_only(X9,sK18(X9,X10))
| ~ g_both(X9,X10) )
& ( ( ~ h_false_only(X9,sK18(X9,X10))
& ~ h_both(X9,sK18(X9,X10)) )
| ~ g_true_only(X9,X10) ) )
| sP0 )
& ( ! [X14] :
( ~ h_true_only(sK19,X14)
& ~ g_false_only(sK19,sK20) )
| ( ! [X16] : ~ h_true_only(sK21,X16)
& ~ g_false_only(sK21,sK22) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22])],[f46,f54,f53,f52,f51,f50,f49,f48,f47]) ).
fof(f47,plain,
( ? [X0] :
( ( ! [X1] : h_false_only(X0,X1)
& ! [X2] : ~ g_true_only(X0,X2)
& ? [X3] : g_both(X0,X3) )
| sP1(X0) )
=> ( ( ! [X1] : h_false_only(sK14,X1)
& ! [X2] : ~ g_true_only(sK14,X2)
& ? [X3] : g_both(sK14,X3) )
| sP1(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
( ? [X3] : g_both(sK14,X3)
=> g_both(sK14,sK15) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X4] :
( ? [X5] : h_true_only(X4,X5)
=> h_true_only(X4,sK16(X4)) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X4] :
( ? [X7] : g_true_only(X4,X7)
=> g_true_only(X4,sK17(X4)) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X9,X10] :
( ? [X11] :
( ( ~ h_false_only(X9,X11)
| ~ g_both(X9,X10) )
& ( ( ~ h_false_only(X9,X11)
& ~ h_both(X9,X11) )
| ~ g_true_only(X9,X10) ) )
=> ( ( ~ h_false_only(X9,sK18(X9,X10))
| ~ g_both(X9,X10) )
& ( ( ~ h_false_only(X9,sK18(X9,X10))
& ~ h_both(X9,sK18(X9,X10)) )
| ~ g_true_only(X9,X10) ) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
( ? [X12,X13] :
! [X14] :
( ~ h_true_only(X12,X14)
& ~ g_false_only(X12,X13) )
=> ! [X14] :
( ~ h_true_only(sK19,X14)
& ~ g_false_only(sK19,sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
( ? [X15] :
( ! [X16] : ~ h_true_only(X15,X16)
& ? [X17] : ~ g_false_only(X15,X17) )
=> ( ! [X16] : ~ h_true_only(sK21,X16)
& ? [X17] : ~ g_false_only(sK21,X17) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
( ? [X17] : ~ g_false_only(sK21,X17)
=> ~ g_false_only(sK21,sK22) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
( ( sP3
| sP2
| ? [X0] :
( ( ! [X1] : h_false_only(X0,X1)
& ! [X2] : ~ g_true_only(X0,X2)
& ? [X3] : g_both(X0,X3) )
| sP1(X0) )
| ! [X4] :
( ? [X5] : h_true_only(X4,X5)
| ! [X6] : ~ h_both(X4,X6)
| ? [X7] : g_true_only(X4,X7)
| ! [X8] : ~ g_both(X4,X8) ) )
& ( ! [X9,X10] :
? [X11] :
( ( ~ h_false_only(X9,X11)
| ~ g_both(X9,X10) )
& ( ( ~ h_false_only(X9,X11)
& ~ h_both(X9,X11) )
| ~ g_true_only(X9,X10) ) )
| sP0 )
& ( ? [X12,X13] :
! [X14] :
( ~ h_true_only(X12,X14)
& ~ g_false_only(X12,X13) )
| ? [X15] :
( ! [X16] : ~ h_true_only(X15,X16)
& ? [X17] : ~ g_false_only(X15,X17) ) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
( ( sP3
| sP2
| ? [X9] :
( ( ! [X10] : h_false_only(X9,X10)
& ! [X11] : ~ g_true_only(X9,X11)
& ? [X12] : g_both(X9,X12) )
| sP1(X9) )
| ! [X17] :
( ? [X18] : h_true_only(X17,X18)
| ! [X19] : ~ h_both(X17,X19)
| ? [X20] : g_true_only(X17,X20)
| ! [X21] : ~ g_both(X17,X21) ) )
& ( ! [X22,X23] :
? [X24] :
( ( ~ h_false_only(X22,X24)
| ~ g_both(X22,X23) )
& ( ( ~ h_false_only(X22,X24)
& ~ h_both(X22,X24) )
| ~ g_true_only(X22,X23) ) )
| sP0 )
& ( ? [X33,X34] :
! [X35] :
( ~ h_true_only(X33,X35)
& ~ g_false_only(X33,X34) )
| ? [X36] :
( ! [X37] : ~ h_true_only(X36,X37)
& ? [X38] : ~ g_false_only(X36,X38) ) ) ),
inference(definition_folding,[],[f20,f24,f23,f22,f21]) ).
fof(f21,plain,
( ! [X25] :
( ( ? [X26] : ~ h_false_only(X25,X26)
| ? [X27] : g_true_only(X25,X27)
| ! [X28] : ~ g_both(X25,X28) )
& ( ( ? [X29] : ~ h_false_only(X25,X29)
& ( ? [X30] : h_true_only(X25,X30)
| ! [X31] : ~ h_both(X25,X31) ) )
| ! [X32] : ~ g_true_only(X25,X32) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f23,plain,
( ! [X3] :
( ? [X4] :
! [X5] :
( ( h_false_only(X3,X5)
& g_both(X3,X4) )
| ( ( h_false_only(X3,X5)
| h_both(X3,X5) )
& g_true_only(X3,X4) ) )
| ! [X6] :
( ? [X7] :
( h_true_only(X3,X7)
| g_false_only(X3,X6) )
| ! [X8] :
( ~ h_both(X3,X8)
| ~ g_both(X3,X6) ) ) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ? [X0,X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f20,plain,
( ( ? [X0,X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
| ! [X3] :
( ? [X4] :
! [X5] :
( ( h_false_only(X3,X5)
& g_both(X3,X4) )
| ( ( h_false_only(X3,X5)
| h_both(X3,X5) )
& g_true_only(X3,X4) ) )
| ! [X6] :
( ? [X7] :
( h_true_only(X3,X7)
| g_false_only(X3,X6) )
| ! [X8] :
( ~ h_both(X3,X8)
| ~ g_both(X3,X6) ) ) )
| ? [X9] :
( ( ! [X10] : h_false_only(X9,X10)
& ! [X11] : ~ g_true_only(X9,X11)
& ? [X12] : g_both(X9,X12) )
| ( ( ! [X13] : h_false_only(X9,X13)
| ( ! [X14] : ~ h_true_only(X9,X14)
& ? [X15] : h_both(X9,X15) ) )
& ? [X16] : g_true_only(X9,X16) ) )
| ! [X17] :
( ? [X18] : h_true_only(X17,X18)
| ! [X19] : ~ h_both(X17,X19)
| ? [X20] : g_true_only(X17,X20)
| ! [X21] : ~ g_both(X17,X21) ) )
& ( ! [X22,X23] :
? [X24] :
( ( ~ h_false_only(X22,X24)
| ~ g_both(X22,X23) )
& ( ( ~ h_false_only(X22,X24)
& ~ h_both(X22,X24) )
| ~ g_true_only(X22,X23) ) )
| ! [X25] :
( ( ? [X26] : ~ h_false_only(X25,X26)
| ? [X27] : g_true_only(X25,X27)
| ! [X28] : ~ g_both(X25,X28) )
& ( ( ? [X29] : ~ h_false_only(X25,X29)
& ( ? [X30] : h_true_only(X25,X30)
| ! [X31] : ~ h_both(X25,X31) ) )
| ! [X32] : ~ g_true_only(X25,X32) ) ) )
& ( ? [X33,X34] :
! [X35] :
( ~ h_true_only(X33,X35)
& ~ g_false_only(X33,X34) )
| ? [X36] :
( ! [X37] : ~ h_true_only(X36,X37)
& ? [X38] : ~ g_false_only(X36,X38) ) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
~ ( ( ~ ? [X0,X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
& ? [X3] :
( ~ ? [X4] :
! [X5] :
( ( h_false_only(X3,X5)
& g_both(X3,X4) )
| ( ( h_false_only(X3,X5)
| h_both(X3,X5) )
& g_true_only(X3,X4) ) )
& ? [X6] :
( ~ ? [X7] :
( h_true_only(X3,X7)
| g_false_only(X3,X6) )
& ? [X8] :
( h_both(X3,X8)
& g_both(X3,X6) ) ) )
& ~ ? [X9] :
( ( ! [X10] : h_false_only(X9,X10)
& ~ ? [X11] : g_true_only(X9,X11)
& ? [X12] : g_both(X9,X12) )
| ( ( ! [X13] : h_false_only(X9,X13)
| ( ~ ? [X14] : h_true_only(X9,X14)
& ? [X15] : h_both(X9,X15) ) )
& ? [X16] : g_true_only(X9,X16) ) )
& ? [X17] :
( ~ ? [X18] : h_true_only(X17,X18)
& ? [X19] : h_both(X17,X19)
& ~ ? [X20] : g_true_only(X17,X20)
& ? [X21] : g_both(X17,X21) ) )
| ( ? [X22,X23] :
! [X24] :
( ( h_false_only(X22,X24)
& g_both(X22,X23) )
| ( ( h_false_only(X22,X24)
| h_both(X22,X24) )
& g_true_only(X22,X23) ) )
& ? [X25] :
( ( ! [X26] : h_false_only(X25,X26)
& ~ ? [X27] : g_true_only(X25,X27)
& ? [X28] : g_both(X25,X28) )
| ( ( ! [X29] : h_false_only(X25,X29)
| ( ~ ? [X30] : h_true_only(X25,X30)
& ? [X31] : h_both(X25,X31) ) )
& ? [X32] : g_true_only(X25,X32) ) ) )
| ( ! [X33,X34] :
? [X35] :
( h_true_only(X33,X35)
| g_false_only(X33,X34) )
& ! [X36] :
( ? [X37] : h_true_only(X36,X37)
| ! [X38] : g_false_only(X36,X38) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ~ ? [X0,X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
& ? [X0] :
( ~ ? [X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
& ? [X1] :
( ~ ? [X2] :
( h_true_only(X0,X2)
| g_false_only(X0,X1) )
& ? [X2] :
( h_both(X0,X2)
& g_both(X0,X1) ) ) )
& ~ ? [X0] :
( ( ! [X1] : h_false_only(X0,X1)
& ~ ? [X1] : g_true_only(X0,X1)
& ? [X1] : g_both(X0,X1) )
| ( ( ! [X1] : h_false_only(X0,X1)
| ( ~ ? [X1] : h_true_only(X0,X1)
& ? [X1] : h_both(X0,X1) ) )
& ? [X1] : g_true_only(X0,X1) ) )
& ? [X0] :
( ~ ? [X1] : h_true_only(X0,X1)
& ? [X1] : h_both(X0,X1)
& ~ ? [X1] : g_true_only(X0,X1)
& ? [X1] : g_both(X0,X1) ) )
| ( ? [X0,X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
& ? [X0] :
( ( ! [X1] : h_false_only(X0,X1)
& ~ ? [X1] : g_true_only(X0,X1)
& ? [X1] : g_both(X0,X1) )
| ( ( ! [X1] : h_false_only(X0,X1)
| ( ~ ? [X1] : h_true_only(X0,X1)
& ? [X1] : h_both(X0,X1) ) )
& ? [X1] : g_true_only(X0,X1) ) ) )
| ( ! [X0,X1] :
? [X2] :
( h_true_only(X0,X2)
| g_false_only(X0,X1) )
& ! [X0] :
( ? [X1] : h_true_only(X0,X1)
| ! [X1] : g_false_only(X0,X1) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ~ ? [X0,X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
& ? [X0] :
( ~ ? [X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
& ? [X1] :
( ~ ? [X2] :
( h_true_only(X0,X2)
| g_false_only(X0,X1) )
& ? [X2] :
( h_both(X0,X2)
& g_both(X0,X1) ) ) )
& ~ ? [X0] :
( ( ! [X1] : h_false_only(X0,X1)
& ~ ? [X1] : g_true_only(X0,X1)
& ? [X1] : g_both(X0,X1) )
| ( ( ! [X1] : h_false_only(X0,X1)
| ( ~ ? [X1] : h_true_only(X0,X1)
& ? [X1] : h_both(X0,X1) ) )
& ? [X1] : g_true_only(X0,X1) ) )
& ? [X0] :
( ~ ? [X1] : h_true_only(X0,X1)
& ? [X1] : h_both(X0,X1)
& ~ ? [X1] : g_true_only(X0,X1)
& ? [X1] : g_both(X0,X1) ) )
| ( ? [X0,X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
& ? [X0] :
( ( ! [X1] : h_false_only(X0,X1)
& ~ ? [X1] : g_true_only(X0,X1)
& ? [X1] : g_both(X0,X1) )
| ( ( ! [X1] : h_false_only(X0,X1)
| ( ~ ? [X1] : h_true_only(X0,X1)
& ? [X1] : h_both(X0,X1) ) )
& ? [X1] : g_true_only(X0,X1) ) ) )
| ( ! [X0,X1] :
? [X2] :
( h_true_only(X0,X2)
| g_false_only(X0,X1) )
& ! [X0] :
( ? [X1] : h_true_only(X0,X1)
| ! [X1] : g_false_only(X0,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDaVL45foZ/Vampire---4.8_19727',nc5) ).
fof(f220,plain,
( spl23_23
| ~ spl23_26 ),
inference(avatar_split_clause,[],[f83,f217,f205]) ).
fof(f83,plain,
! [X16] :
( ~ g_false_only(sK19,sK20)
| ~ h_true_only(sK21,X16) ),
inference(cnf_transformation,[],[f55]) ).
fof(f215,plain,
( ~ spl23_25
| spl23_24 ),
inference(avatar_split_clause,[],[f84,f208,f212]) ).
fof(f84,plain,
! [X14] :
( ~ h_true_only(sK19,X14)
| ~ g_false_only(sK21,sK22) ),
inference(cnf_transformation,[],[f55]) ).
fof(f210,plain,
( spl23_23
| spl23_24 ),
inference(avatar_split_clause,[],[f85,f208,f205]) ).
fof(f85,plain,
! [X16,X14] :
( ~ h_true_only(sK19,X14)
| ~ h_true_only(sK21,X16) ),
inference(cnf_transformation,[],[f55]) ).
fof(f203,plain,
( spl23_11
| spl23_22 ),
inference(avatar_split_clause,[],[f86,f201,f157]) ).
fof(f157,plain,
( spl23_11
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_11])]) ).
fof(f86,plain,
! [X10,X9] :
( ~ h_both(X9,sK18(X9,X10))
| ~ g_true_only(X9,X10)
| sP0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f199,plain,
( spl23_11
| spl23_21 ),
inference(avatar_split_clause,[],[f87,f197,f157]) ).
fof(f87,plain,
! [X10,X9] :
( ~ h_false_only(X9,sK18(X9,X10))
| ~ g_true_only(X9,X10)
| sP0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f195,plain,
( spl23_11
| spl23_20 ),
inference(avatar_split_clause,[],[f88,f193,f157]) ).
fof(f88,plain,
! [X10,X9] :
( ~ h_false_only(X9,sK18(X9,X10))
| ~ g_both(X9,X10)
| sP0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f191,plain,
( spl23_15
| spl23_16
| spl23_19
| spl23_6
| spl23_1 ),
inference(avatar_split_clause,[],[f89,f115,f137,f188,f176,f173]) ).
fof(f137,plain,
( spl23_6
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_6])]) ).
fof(f115,plain,
( spl23_1
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
fof(f89,plain,
! [X8,X6,X4] :
( sP3
| sP2
| g_both(sK14,sK15)
| sP1(sK14)
| h_true_only(X4,sK16(X4))
| ~ h_both(X4,X6)
| g_true_only(X4,sK17(X4))
| ~ g_both(X4,X8) ),
inference(cnf_transformation,[],[f55]) ).
fof(f186,plain,
( spl23_15
| spl23_16
| spl23_18
| spl23_6
| spl23_1 ),
inference(avatar_split_clause,[],[f90,f115,f137,f184,f176,f173]) ).
fof(f90,plain,
! [X2,X8,X6,X4] :
( sP3
| sP2
| ~ g_true_only(sK14,X2)
| sP1(sK14)
| h_true_only(X4,sK16(X4))
| ~ h_both(X4,X6)
| g_true_only(X4,sK17(X4))
| ~ g_both(X4,X8) ),
inference(cnf_transformation,[],[f55]) ).
fof(f182,plain,
( spl23_15
| spl23_16
| spl23_17
| spl23_6
| spl23_1 ),
inference(avatar_split_clause,[],[f91,f115,f137,f180,f176,f173]) ).
fof(f91,plain,
! [X1,X8,X6,X4] :
( sP3
| sP2
| h_false_only(sK14,X1)
| sP1(sK14)
| h_true_only(X4,sK16(X4))
| ~ h_both(X4,X6)
| g_true_only(X4,sK17(X4))
| ~ g_both(X4,X8) ),
inference(cnf_transformation,[],[f55]) ).
fof(f171,plain,
( ~ spl23_11
| spl23_14 ),
inference(avatar_split_clause,[],[f79,f169,f157]) ).
fof(f79,plain,
! [X0,X6,X7] :
( h_true_only(X0,sK13(X0))
| ~ h_both(X0,X6)
| ~ g_true_only(X0,X7)
| ~ sP0 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ! [X0] :
( ( ~ h_false_only(X0,sK10(X0))
| g_true_only(X0,sK11(X0))
| ! [X3] : ~ g_both(X0,X3) )
& ( ( ~ h_false_only(X0,sK12(X0))
& ( h_true_only(X0,sK13(X0))
| ! [X6] : ~ h_both(X0,X6) ) )
| ! [X7] : ~ g_true_only(X0,X7) ) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f40,f44,f43,f42,f41]) ).
fof(f41,plain,
! [X0] :
( ? [X1] : ~ h_false_only(X0,X1)
=> ~ h_false_only(X0,sK10(X0)) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0] :
( ? [X2] : g_true_only(X0,X2)
=> g_true_only(X0,sK11(X0)) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0] :
( ? [X4] : ~ h_false_only(X0,X4)
=> ~ h_false_only(X0,sK12(X0)) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ? [X5] : h_true_only(X0,X5)
=> h_true_only(X0,sK13(X0)) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
( ! [X0] :
( ( ? [X1] : ~ h_false_only(X0,X1)
| ? [X2] : g_true_only(X0,X2)
| ! [X3] : ~ g_both(X0,X3) )
& ( ( ? [X4] : ~ h_false_only(X0,X4)
& ( ? [X5] : h_true_only(X0,X5)
| ! [X6] : ~ h_both(X0,X6) ) )
| ! [X7] : ~ g_true_only(X0,X7) ) )
| ~ sP0 ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
( ! [X25] :
( ( ? [X26] : ~ h_false_only(X25,X26)
| ? [X27] : g_true_only(X25,X27)
| ! [X28] : ~ g_both(X25,X28) )
& ( ( ? [X29] : ~ h_false_only(X25,X29)
& ( ? [X30] : h_true_only(X25,X30)
| ! [X31] : ~ h_both(X25,X31) ) )
| ! [X32] : ~ g_true_only(X25,X32) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f167,plain,
( ~ spl23_11
| spl23_13 ),
inference(avatar_split_clause,[],[f80,f165,f157]) ).
fof(f80,plain,
! [X0,X7] :
( ~ h_false_only(X0,sK12(X0))
| ~ g_true_only(X0,X7)
| ~ sP0 ),
inference(cnf_transformation,[],[f45]) ).
fof(f163,plain,
( ~ spl23_11
| spl23_12 ),
inference(avatar_split_clause,[],[f81,f161,f157]) ).
fof(f81,plain,
! [X3,X0] :
( ~ h_false_only(X0,sK10(X0))
| g_true_only(X0,sK11(X0))
| ~ g_both(X0,X3)
| ~ sP0 ),
inference(cnf_transformation,[],[f45]) ).
fof(f147,plain,
( ~ spl23_6
| spl23_8 ),
inference(avatar_split_clause,[],[f74,f145,f137]) ).
fof(f74,plain,
! [X2,X3,X0,X5] :
( h_false_only(X0,X2)
| g_true_only(X0,sK6(X0))
| h_true_only(X0,sK7(X0,X3))
| g_false_only(X0,X3)
| ~ h_both(X0,X5)
| ~ g_both(X0,X3)
| ~ sP2 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ! [X0] :
( ! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,sK6(X0)) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,sK6(X0)) ) )
| ! [X3] :
( h_true_only(X0,sK7(X0,X3))
| g_false_only(X0,X3)
| ! [X5] :
( ~ h_both(X0,X5)
| ~ g_both(X0,X3) ) ) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f30,f32,f31]) ).
fof(f31,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
=> ! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,sK6(X0)) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,sK6(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0,X3] :
( ? [X4] :
( h_true_only(X0,X4)
| g_false_only(X0,X3) )
=> ( h_true_only(X0,sK7(X0,X3))
| g_false_only(X0,X3) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
( ! [X0] :
( ? [X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
| ! [X3] :
( ? [X4] :
( h_true_only(X0,X4)
| g_false_only(X0,X3) )
| ! [X5] :
( ~ h_both(X0,X5)
| ~ g_both(X0,X3) ) ) )
| ~ sP2 ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
( ! [X3] :
( ? [X4] :
! [X5] :
( ( h_false_only(X3,X5)
& g_both(X3,X4) )
| ( ( h_false_only(X3,X5)
| h_both(X3,X5) )
& g_true_only(X3,X4) ) )
| ! [X6] :
( ? [X7] :
( h_true_only(X3,X7)
| g_false_only(X3,X6) )
| ! [X8] :
( ~ h_both(X3,X8)
| ~ g_both(X3,X6) ) ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f135,plain,
( ~ spl23_1
| spl23_3
| spl23_5 ),
inference(avatar_split_clause,[],[f68,f131,f123,f115]) ).
fof(f68,plain,
( g_both(sK4,sK5)
| g_true_only(sK4,sK5)
| ~ sP3 ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( ! [X2] :
( ( h_false_only(sK4,X2)
& g_both(sK4,sK5) )
| ( ( h_false_only(sK4,X2)
| h_both(sK4,X2) )
& g_true_only(sK4,sK5) ) )
| ~ sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f26,f27]) ).
fof(f27,plain,
( ? [X0,X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
=> ! [X2] :
( ( h_false_only(sK4,X2)
& g_both(sK4,sK5) )
| ( ( h_false_only(sK4,X2)
| h_both(sK4,X2) )
& g_true_only(sK4,sK5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
( ? [X0,X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f129,plain,
( ~ spl23_1
| spl23_3
| spl23_4 ),
inference(avatar_split_clause,[],[f70,f127,f123,f115]) ).
fof(f70,plain,
! [X2] :
( h_false_only(sK4,X2)
| g_true_only(sK4,sK5)
| ~ sP3 ),
inference(cnf_transformation,[],[f28]) ).
fof(f121,plain,
( ~ spl23_1
| spl23_2 ),
inference(avatar_split_clause,[],[f113,f119,f115]) ).
fof(f113,plain,
! [X2] :
( h_false_only(sK4,X2)
| h_both(sK4,X2)
| ~ sP3 ),
inference(duplicate_literal_removal,[],[f71]) ).
fof(f71,plain,
! [X2] :
( h_false_only(sK4,X2)
| h_false_only(sK4,X2)
| h_both(sK4,X2)
| ~ sP3 ),
inference(cnf_transformation,[],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYO606+1 : TPTP v8.1.2. Released v7.0.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 15:49:53 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a FOF_THM_RFO_NEQ problem
% 0.11/0.33 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.xDaVL45foZ/Vampire---4.8_19727
% 0.56/0.74 % (19835)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.56/0.74 % (19840)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.56/0.74 % (19838)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.56/0.74 % (19839)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.56/0.74 % (19836)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.56/0.74 % (19837)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.56/0.74 % (19841)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.56/0.74 % (19842)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.56/0.74 % (19839)Refutation not found, incomplete strategy% (19839)------------------------------
% 0.56/0.74 % (19839)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (19839)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (19839)Memory used [KB]: 1137
% 0.56/0.74 % (19839)Time elapsed: 0.004 s
% 0.56/0.74 % (19839)Instructions burned: 4 (million)
% 0.56/0.74 % (19839)------------------------------
% 0.56/0.74 % (19839)------------------------------
% 0.56/0.74 % (19842)Refutation not found, incomplete strategy% (19842)------------------------------
% 0.56/0.74 % (19842)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (19842)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (19842)Memory used [KB]: 1185
% 0.56/0.74 % (19842)Time elapsed: 0.006 s
% 0.56/0.74 % (19842)Instructions burned: 9 (million)
% 0.56/0.74 % (19842)------------------------------
% 0.56/0.74 % (19842)------------------------------
% 0.56/0.75 % (19840)Refutation not found, incomplete strategy% (19840)------------------------------
% 0.56/0.75 % (19840)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (19840)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (19840)Memory used [KB]: 1236
% 0.56/0.75 % (19840)Time elapsed: 0.009 s
% 0.56/0.75 % (19840)Instructions burned: 13 (million)
% 0.56/0.75 % (19843)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.56/0.75 % (19840)------------------------------
% 0.56/0.75 % (19840)------------------------------
% 0.56/0.75 % (19844)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.56/0.75 % (19845)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.56/0.75 % (19837)First to succeed.
% 0.56/0.75 % (19836)Also succeeded, but the first one will report.
% 0.56/0.76 % (19838)Instruction limit reached!
% 0.56/0.76 % (19838)------------------------------
% 0.56/0.76 % (19838)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (19838)Termination reason: Unknown
% 0.56/0.76 % (19843)Refutation not found, incomplete strategy% (19843)------------------------------
% 0.56/0.76 % (19843)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (19843)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (19843)Memory used [KB]: 1297
% 0.56/0.76 % (19843)Time elapsed: 0.010 s
% 0.56/0.76 % (19843)Instructions burned: 21 (million)
% 0.56/0.76 % (19838)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (19838)Memory used [KB]: 1473
% 0.56/0.76 % (19838)Time elapsed: 0.018 s
% 0.56/0.76 % (19838)Instructions burned: 33 (million)
% 0.56/0.76 % (19838)------------------------------
% 0.56/0.76 % (19838)------------------------------
% 0.56/0.76 % (19843)------------------------------
% 0.56/0.76 % (19843)------------------------------
% 0.56/0.76 % (19835)Instruction limit reached!
% 0.56/0.76 % (19835)------------------------------
% 0.56/0.76 % (19835)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (19835)Termination reason: Unknown
% 0.56/0.76 % (19835)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (19835)Memory used [KB]: 1638
% 0.56/0.76 % (19835)Time elapsed: 0.019 s
% 0.56/0.76 % (19835)Instructions burned: 35 (million)
% 0.56/0.76 % (19835)------------------------------
% 0.56/0.76 % (19835)------------------------------
% 0.56/0.76 % (19837)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19834"
% 0.56/0.76 % (19846)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.56/0.76 % (19837)Refutation found. Thanks to Tanya!
% 0.56/0.76 % SZS status Theorem for Vampire---4
% 0.56/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76 % (19837)------------------------------
% 0.56/0.76 % (19837)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (19837)Termination reason: Refutation
% 0.56/0.76
% 0.56/0.76 % (19837)Memory used [KB]: 1341
% 0.56/0.76 % (19837)Time elapsed: 0.020 s
% 0.56/0.76 % (19837)Instructions burned: 34 (million)
% 0.56/0.76 % (19834)Success in time 0.424 s
% 0.56/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------