TSTP Solution File: SYO606+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO606+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 12:30:50 EDT 2024
% Result : Theorem 0.22s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 85
% Syntax : Number of formulae : 479 ( 1 unt; 0 def)
% Number of atoms : 2218 ( 0 equ)
% Maximal formula atoms : 41 ( 4 avg)
% Number of connectives : 2795 (1056 ~;1475 |; 183 &)
% ( 64 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 71 ( 70 usr; 62 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 764 ( 592 !; 172 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3052,plain,
$false,
inference(avatar_sat_refutation,[],[f121,f129,f135,f143,f147,f155,f163,f167,f171,f182,f186,f191,f195,f199,f203,f210,f215,f220,f221,f280,f361,f363,f383,f394,f399,f431,f438,f469,f471,f473,f484,f505,f589,f596,f607,f763,f764,f769,f803,f819,f854,f861,f921,f938,f1076,f1356,f1412,f1420,f1432,f1452,f1458,f1529,f1556,f1558,f1725,f1930,f1982,f2112,f2118,f2126,f2127,f2132,f2144,f2145,f2199,f2230,f2286,f2288,f2300,f2318,f2329,f2394,f2396,f2410,f2418,f2555,f2559,f2564,f2646,f2657,f2750,f2905,f2911,f2963,f2994,f3022,f3051]) ).
fof(f3051,plain,
( spl23_61
| ~ spl23_15
| ~ spl23_24
| ~ spl23_31
| spl23_60
| ~ spl23_67 ),
inference(avatar_split_clause,[],[f3050,f821,f720,f290,f208,f173,f752]) ).
fof(f752,plain,
( spl23_61
<=> ! [X0] : g_false_only(sK19,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_61])]) ).
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(f208,plain,
( spl23_24
<=> ! [X14] : ~ h_true_only(sK19,X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_24])]) ).
fof(f290,plain,
( spl23_31
<=> h_both(sK19,sK10(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_31])]) ).
fof(f720,plain,
( spl23_60
<=> g_true_only(sK19,sK17(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_60])]) ).
fof(f821,plain,
( spl23_67
<=> ! [X0] : ~ g_true_only(sK19,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_67])]) ).
fof(f3050,plain,
( ! [X0] : g_false_only(sK19,X0)
| ~ spl23_15
| ~ spl23_24
| ~ spl23_31
| spl23_60
| ~ spl23_67 ),
inference(subsumption_resolution,[],[f3049,f822]) ).
fof(f822,plain,
( ! [X0] : ~ g_true_only(sK19,X0)
| ~ spl23_67 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f3049,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| g_true_only(sK19,X0) )
| ~ spl23_15
| ~ spl23_24
| ~ spl23_31
| spl23_60 ),
inference(subsumption_resolution,[],[f3048,f209]) ).
fof(f209,plain,
( ! [X14] : ~ h_true_only(sK19,X14)
| ~ spl23_24 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f3048,plain,
( ! [X0] :
( h_true_only(sK19,sK16(sK19))
| g_false_only(sK19,X0)
| g_true_only(sK19,X0) )
| ~ spl23_15
| ~ spl23_31
| spl23_60 ),
inference(subsumption_resolution,[],[f3046,f721]) ).
fof(f721,plain,
( ~ g_true_only(sK19,sK17(sK19))
| spl23_60 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f3046,plain,
( ! [X0] :
( g_true_only(sK19,sK17(sK19))
| h_true_only(sK19,sK16(sK19))
| g_false_only(sK19,X0)
| g_true_only(sK19,X0) )
| ~ spl23_15
| ~ spl23_31 ),
inference(resolution,[],[f3026,f292]) ).
fof(f292,plain,
( h_both(sK19,sK10(sK19))
| ~ spl23_31 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f3026,plain,
( ! [X2,X0,X1] :
( ~ h_both(X0,X1)
| g_true_only(X0,sK17(X0))
| h_true_only(X0,sK16(X0))
| g_false_only(X0,X2)
| g_true_only(X0,X2) )
| ~ spl23_15 ),
inference(resolution,[],[f174,f93]) ).
fof(f93,plain,
! [X0,X1] :
( g_both(X0,X1)
| g_false_only(X0,X1)
| g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,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/benchmark/theBenchmark.p',exhaustion_g) ).
fof(f174,plain,
( ! [X8,X6,X4] :
( ~ g_both(X4,X8)
| h_true_only(X4,sK16(X4))
| g_true_only(X4,sK17(X4))
| ~ h_both(X4,X6) )
| ~ spl23_15 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f3022,plain,
( spl23_86
| spl23_84
| ~ spl23_2
| ~ spl23_12
| ~ spl23_54 ),
inference(avatar_split_clause,[],[f3021,f644,f161,f119,f1470,f1478]) ).
fof(f1478,plain,
( spl23_86
<=> ! [X0] : ~ g_both(sK4,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_86])]) ).
fof(f1470,plain,
( spl23_84
<=> h_both(sK4,sK10(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_84])]) ).
fof(f119,plain,
( spl23_2
<=> ! [X2] :
( h_false_only(sK4,X2)
| h_both(sK4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
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(f644,plain,
( spl23_54
<=> ! [X0] : ~ g_true_only(sK4,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_54])]) ).
fof(f3021,plain,
( ! [X0] :
( h_both(sK4,sK10(sK4))
| ~ g_both(sK4,X0) )
| ~ spl23_2
| ~ spl23_12
| ~ spl23_54 ),
inference(subsumption_resolution,[],[f3018,f645]) ).
fof(f645,plain,
( ! [X0] : ~ g_true_only(sK4,X0)
| ~ spl23_54 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f3018,plain,
( ! [X0] :
( h_both(sK4,sK10(sK4))
| ~ g_both(sK4,X0)
| g_true_only(sK4,sK11(sK4)) )
| ~ spl23_2
| ~ spl23_12 ),
inference(resolution,[],[f120,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(f120,plain,
( ! [X2] :
( h_false_only(sK4,X2)
| h_both(sK4,X2) )
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f2994,plain,
( ~ spl23_84
| ~ spl23_99 ),
inference(avatar_contradiction_clause,[],[f2993]) ).
fof(f2993,plain,
( $false
| ~ spl23_84
| ~ spl23_99 ),
inference(subsumption_resolution,[],[f1472,f2161]) ).
fof(f2161,plain,
( ! [X0] : ~ h_both(sK4,X0)
| ~ spl23_99 ),
inference(avatar_component_clause,[],[f2160]) ).
fof(f2160,plain,
( spl23_99
<=> ! [X0] : ~ h_both(sK4,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_99])]) ).
fof(f1472,plain,
( h_both(sK4,sK10(sK4))
| ~ spl23_84 ),
inference(avatar_component_clause,[],[f1470]) ).
fof(f2963,plain,
( spl23_99
| ~ spl23_4 ),
inference(avatar_split_clause,[],[f2961,f127,f2160]) ).
fof(f127,plain,
( spl23_4
<=> ! [X2] : h_false_only(sK4,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).
fof(f2961,plain,
( ! [X0] : ~ h_both(sK4,X0)
| ~ spl23_4 ),
inference(resolution,[],[f2921,f100]) ).
fof(f100,plain,
! [X0,X1] :
( h_true(X0,X1)
| ~ h_both(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,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,[],[f60]) ).
fof(f60,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,[],[f16]) ).
fof(f16,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/benchmark/theBenchmark.p',both_h) ).
fof(f2921,plain,
( ! [X0] : ~ h_true(sK4,X0)
| ~ spl23_4 ),
inference(resolution,[],[f128,f110]) ).
fof(f110,plain,
! [X0,X1] :
( ~ h_false_only(X0,X1)
| ~ h_true(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,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,[],[f66]) ).
fof(f66,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,[],[f19]) ).
fof(f19,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/benchmark/theBenchmark.p',false_only_h) ).
fof(f128,plain,
( ! [X2] : h_false_only(sK4,X2)
| ~ spl23_4 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f2911,plain,
( spl23_91
| ~ spl23_12
| ~ spl23_35
| ~ spl23_37 ),
inference(avatar_split_clause,[],[f2910,f357,f337,f161,f1537]) ).
fof(f1537,plain,
( spl23_91
<=> ! [X0] : ~ g_both(sK21,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_91])]) ).
fof(f337,plain,
( spl23_35
<=> ! [X0] : ~ g_true_only(sK21,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_35])]) ).
fof(f357,plain,
( spl23_37
<=> ! [X0] : h_false_only(sK21,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_37])]) ).
fof(f2910,plain,
( ! [X0] : ~ g_both(sK21,X0)
| ~ spl23_12
| ~ spl23_35
| ~ spl23_37 ),
inference(subsumption_resolution,[],[f2908,f338]) ).
fof(f338,plain,
( ! [X0] : ~ g_true_only(sK21,X0)
| ~ spl23_35 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f2908,plain,
( ! [X0] :
( ~ g_both(sK21,X0)
| g_true_only(sK21,sK11(sK21)) )
| ~ spl23_12
| ~ spl23_37 ),
inference(resolution,[],[f358,f162]) ).
fof(f358,plain,
( ! [X0] : h_false_only(sK21,X0)
| ~ spl23_37 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f2905,plain,
( spl23_39
| spl23_39
| spl23_37
| ~ spl23_8
| ~ spl23_12
| ~ spl23_23
| ~ spl23_35
| spl23_36 ),
inference(avatar_split_clause,[],[f2904,f353,f337,f205,f161,f145,f357,f392,f392]) ).
fof(f392,plain,
( spl23_39
<=> ! [X0] : g_false_only(sK21,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_39])]) ).
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(f205,plain,
( spl23_23
<=> ! [X16] : ~ h_true_only(sK21,X16) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_23])]) ).
fof(f353,plain,
( spl23_36
<=> g_true_only(sK21,sK6(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_36])]) ).
fof(f2904,plain,
( ! [X2,X0,X1] :
( h_false_only(sK21,X1)
| g_false_only(sK21,X0)
| g_false_only(sK21,X2) )
| ~ spl23_8
| ~ spl23_12
| ~ spl23_23
| ~ spl23_35
| spl23_36 ),
inference(subsumption_resolution,[],[f2903,f338]) ).
fof(f2903,plain,
( ! [X2,X0,X1] :
( h_false_only(sK21,X1)
| g_false_only(sK21,X0)
| g_false_only(sK21,X2)
| g_true_only(sK21,X2) )
| ~ spl23_8
| ~ spl23_12
| ~ spl23_23
| ~ spl23_35
| spl23_36 ),
inference(subsumption_resolution,[],[f2902,f354]) ).
fof(f354,plain,
( ~ g_true_only(sK21,sK6(sK21))
| spl23_36 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f2902,plain,
( ! [X2,X0,X1] :
( h_false_only(sK21,X1)
| g_false_only(sK21,X0)
| g_false_only(sK21,X2)
| g_true_only(sK21,sK6(sK21))
| g_true_only(sK21,X2) )
| ~ spl23_8
| ~ spl23_12
| ~ spl23_23
| ~ spl23_35 ),
inference(subsumption_resolution,[],[f2901,f338]) ).
fof(f2901,plain,
( ! [X2,X0,X1] :
( h_false_only(sK21,X1)
| g_false_only(sK21,X0)
| g_false_only(sK21,X2)
| g_true_only(sK21,sK11(sK21))
| g_true_only(sK21,sK6(sK21))
| g_true_only(sK21,X2) )
| ~ spl23_8
| ~ spl23_12
| ~ spl23_23
| ~ spl23_35 ),
inference(subsumption_resolution,[],[f2900,f206]) ).
fof(f206,plain,
( ! [X16] : ~ h_true_only(sK21,X16)
| ~ spl23_23 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f2900,plain,
( ! [X2,X0,X1] :
( h_false_only(sK21,X1)
| h_true_only(sK21,sK10(sK21))
| g_false_only(sK21,X0)
| g_false_only(sK21,X2)
| g_true_only(sK21,sK11(sK21))
| g_true_only(sK21,sK6(sK21))
| g_true_only(sK21,X2) )
| ~ spl23_8
| ~ spl23_12
| ~ spl23_23
| ~ spl23_35 ),
inference(subsumption_resolution,[],[f2877,f338]) ).
fof(f2877,plain,
( ! [X2,X0,X1] :
( g_true_only(sK21,X0)
| h_false_only(sK21,X1)
| h_true_only(sK21,sK10(sK21))
| g_false_only(sK21,X0)
| g_false_only(sK21,X2)
| g_true_only(sK21,sK11(sK21))
| g_true_only(sK21,sK6(sK21))
| g_true_only(sK21,X2) )
| ~ spl23_8
| ~ spl23_12
| ~ spl23_23 ),
inference(resolution,[],[f2648,f206]) ).
fof(f2648,plain,
( ! [X2,X3,X0,X1] :
( g_true_only(X0,X1)
| h_false_only(X0,X2)
| h_true_only(X0,sK7(X0,X3))
| h_true_only(X0,sK10(X0))
| g_false_only(X0,X1)
| g_false_only(X0,X3)
| g_true_only(X0,sK11(X0))
| g_true_only(X0,sK6(X0))
| g_true_only(X0,X3) )
| ~ spl23_8
| ~ spl23_12 ),
inference(duplicate_literal_removal,[],[f2647]) ).
fof(f2647,plain,
( ! [X2,X3,X0,X1] :
( h_true_only(X0,sK10(X0))
| g_false_only(X0,X1)
| g_true_only(X0,sK11(X0))
| g_true_only(X0,X1)
| h_false_only(X0,X2)
| g_false_only(X0,X3)
| h_true_only(X0,sK7(X0,X3))
| g_true_only(X0,sK6(X0))
| g_false_only(X0,X3)
| g_true_only(X0,X3) )
| ~ spl23_8
| ~ spl23_12 ),
inference(resolution,[],[f2509,f93]) ).
fof(f2509,plain,
( ! [X2,X3,X0,X1] :
( ~ g_both(X0,X2)
| h_true_only(X0,sK10(X0))
| g_false_only(X0,X1)
| g_true_only(X0,sK11(X0))
| g_true_only(X0,X1)
| h_false_only(X0,X3)
| g_false_only(X0,X2)
| h_true_only(X0,sK7(X0,X2))
| g_true_only(X0,sK6(X0)) )
| ~ spl23_8
| ~ spl23_12 ),
inference(resolution,[],[f2408,f146]) ).
fof(f146,plain,
( ! [X2,X3,X0,X5] :
( ~ h_both(X0,X5)
| ~ g_both(X0,X3)
| h_false_only(X0,X2)
| g_false_only(X0,X3)
| h_true_only(X0,sK7(X0,X3))
| g_true_only(X0,sK6(X0)) )
| ~ spl23_8 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f2408,plain,
( ! [X0,X1] :
( h_both(X0,sK10(X0))
| g_true_only(X0,X1)
| h_true_only(X0,sK10(X0))
| g_false_only(X0,X1)
| g_true_only(X0,sK11(X0)) )
| ~ spl23_12 ),
inference(resolution,[],[f2337,f93]) ).
fof(f2337,plain,
( ! [X0,X1] :
( ~ g_both(X0,X1)
| g_true_only(X0,sK11(X0))
| h_both(X0,sK10(X0))
| h_true_only(X0,sK10(X0)) )
| ~ spl23_12 ),
inference(resolution,[],[f162,f92]) ).
fof(f92,plain,
! [X0,X1] :
( h_false_only(X0,X1)
| h_both(X0,X1)
| h_true_only(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,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/benchmark/theBenchmark.p',exhaustion_h) ).
fof(f2750,plain,
( ~ spl23_35
| ~ spl23_93 ),
inference(avatar_contradiction_clause,[],[f2749]) ).
fof(f2749,plain,
( $false
| ~ spl23_35
| ~ spl23_93 ),
inference(subsumption_resolution,[],[f1576,f338]) ).
fof(f1576,plain,
( g_true_only(sK21,sK17(sK21))
| ~ spl23_93 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1574,plain,
( spl23_93
<=> g_true_only(sK21,sK17(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_93])]) ).
fof(f2657,plain,
( spl23_67
| ~ spl23_13
| ~ spl23_44 ),
inference(avatar_split_clause,[],[f2652,f460,f165,f821]) ).
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(f460,plain,
( spl23_44
<=> ! [X0] : h_false_only(sK19,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_44])]) ).
fof(f2652,plain,
( ! [X0] : ~ g_true_only(sK19,X0)
| ~ spl23_13
| ~ spl23_44 ),
inference(resolution,[],[f461,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(f461,plain,
( ! [X0] : h_false_only(sK19,X0)
| ~ spl23_44 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f2646,plain,
( spl23_31
| spl23_61
| ~ spl23_12
| ~ spl23_13
| ~ spl23_24
| spl23_32 ),
inference(avatar_split_clause,[],[f2645,f294,f208,f165,f161,f752,f290]) ).
fof(f294,plain,
( spl23_32
<=> h_both(sK19,sK12(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_32])]) ).
fof(f2645,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| h_both(sK19,sK10(sK19)) )
| ~ spl23_12
| ~ spl23_13
| ~ spl23_24
| spl23_32 ),
inference(subsumption_resolution,[],[f2644,f209]) ).
fof(f2644,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| h_both(sK19,sK10(sK19))
| h_true_only(sK19,sK12(sK19)) )
| ~ spl23_12
| ~ spl23_13
| ~ spl23_24
| spl23_32 ),
inference(subsumption_resolution,[],[f2639,f209]) ).
fof(f2639,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| h_both(sK19,sK10(sK19))
| h_true_only(sK19,sK10(sK19))
| h_true_only(sK19,sK12(sK19)) )
| ~ spl23_12
| ~ spl23_13
| spl23_32 ),
inference(resolution,[],[f295,f2529]) ).
fof(f2529,plain,
( ! [X0,X1] :
( g_false_only(X0,X1)
| h_both(X0,sK12(X0))
| h_both(X0,sK10(X0))
| h_true_only(X0,sK10(X0))
| h_true_only(X0,sK12(X0)) )
| ~ spl23_12
| ~ spl23_13 ),
inference(subsumption_resolution,[],[f2516,f2305]) ).
fof(f2305,plain,
( ! [X0,X1] :
( ~ g_true_only(X0,X1)
| h_both(X0,sK12(X0))
| h_true_only(X0,sK12(X0)) )
| ~ spl23_13 ),
inference(resolution,[],[f166,f92]) ).
fof(f2516,plain,
( ! [X0,X1] :
( h_both(X0,sK10(X0))
| h_true_only(X0,sK10(X0))
| g_false_only(X0,X1)
| g_true_only(X0,sK11(X0))
| h_both(X0,sK12(X0))
| h_true_only(X0,sK12(X0)) )
| ~ spl23_12
| ~ spl23_13 ),
inference(resolution,[],[f2408,f2305]) ).
fof(f295,plain,
( ~ h_both(sK19,sK12(sK19))
| spl23_32 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f2564,plain,
( spl23_61
| spl23_31
| ~ spl23_12
| ~ spl23_24
| ~ spl23_67 ),
inference(avatar_split_clause,[],[f2563,f821,f208,f161,f290,f752]) ).
fof(f2563,plain,
( ! [X0] :
( h_both(sK19,sK10(sK19))
| g_false_only(sK19,X0) )
| ~ spl23_12
| ~ spl23_24
| ~ spl23_67 ),
inference(subsumption_resolution,[],[f2562,f822]) ).
fof(f2562,plain,
( ! [X0] :
( h_both(sK19,sK10(sK19))
| g_false_only(sK19,X0)
| g_true_only(sK19,sK11(sK19)) )
| ~ spl23_12
| ~ spl23_24
| ~ spl23_67 ),
inference(subsumption_resolution,[],[f2525,f209]) ).
fof(f2525,plain,
( ! [X0] :
( h_both(sK19,sK10(sK19))
| h_true_only(sK19,sK10(sK19))
| g_false_only(sK19,X0)
| g_true_only(sK19,sK11(sK19)) )
| ~ spl23_12
| ~ spl23_67 ),
inference(resolution,[],[f2408,f822]) ).
fof(f2559,plain,
( spl23_44
| spl23_47
| ~ spl23_8
| ~ spl23_24
| ~ spl23_31
| ~ spl23_67 ),
inference(avatar_split_clause,[],[f2558,f821,f290,f208,f145,f523,f460]) ).
fof(f523,plain,
( spl23_47
<=> ! [X0] :
( ~ g_both(sK19,X0)
| g_false_only(sK19,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_47])]) ).
fof(f2558,plain,
( ! [X0,X1] :
( ~ g_both(sK19,X0)
| h_false_only(sK19,X1)
| g_false_only(sK19,X0) )
| ~ spl23_8
| ~ spl23_24
| ~ spl23_31
| ~ spl23_67 ),
inference(subsumption_resolution,[],[f2493,f822]) ).
fof(f2493,plain,
( ! [X0,X1] :
( ~ g_both(sK19,X0)
| h_false_only(sK19,X1)
| g_false_only(sK19,X0)
| g_true_only(sK19,sK6(sK19)) )
| ~ spl23_8
| ~ spl23_24
| ~ spl23_31 ),
inference(subsumption_resolution,[],[f2484,f209]) ).
fof(f2484,plain,
( ! [X0,X1] :
( ~ g_both(sK19,X0)
| h_false_only(sK19,X1)
| g_false_only(sK19,X0)
| h_true_only(sK19,sK7(sK19,X0))
| g_true_only(sK19,sK6(sK19)) )
| ~ spl23_8
| ~ spl23_31 ),
inference(resolution,[],[f292,f146]) ).
fof(f2555,plain,
( spl23_61
| ~ spl23_12
| ~ spl23_44
| ~ spl23_67 ),
inference(avatar_split_clause,[],[f2554,f821,f460,f161,f752]) ).
fof(f2554,plain,
( ! [X0] : g_false_only(sK19,X0)
| ~ spl23_12
| ~ spl23_44
| ~ spl23_67 ),
inference(subsumption_resolution,[],[f2553,f822]) ).
fof(f2553,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| g_true_only(sK19,X0) )
| ~ spl23_12
| ~ spl23_44
| ~ spl23_67 ),
inference(resolution,[],[f2535,f93]) ).
fof(f2535,plain,
( ! [X0] : ~ g_both(sK19,X0)
| ~ spl23_12
| ~ spl23_44
| ~ spl23_67 ),
inference(subsumption_resolution,[],[f2532,f822]) ).
fof(f2532,plain,
( ! [X0] :
( ~ g_both(sK19,X0)
| g_true_only(sK19,sK11(sK19)) )
| ~ spl23_12
| ~ spl23_44 ),
inference(resolution,[],[f461,f162]) ).
fof(f2418,plain,
( spl23_35
| ~ spl23_14
| ~ spl23_23
| ~ spl23_27 ),
inference(avatar_split_clause,[],[f2417,f273,f205,f169,f337]) ).
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(f273,plain,
( spl23_27
<=> h_both(sK21,sK10(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_27])]) ).
fof(f2417,plain,
( ! [X0] : ~ g_true_only(sK21,X0)
| ~ spl23_14
| ~ spl23_23
| ~ spl23_27 ),
inference(subsumption_resolution,[],[f2412,f206]) ).
fof(f2412,plain,
( ! [X0] :
( ~ g_true_only(sK21,X0)
| h_true_only(sK21,sK13(sK21)) )
| ~ spl23_14
| ~ spl23_27 ),
inference(resolution,[],[f275,f170]) ).
fof(f170,plain,
( ! [X0,X6,X7] :
( ~ h_both(X0,X6)
| ~ g_true_only(X0,X7)
| h_true_only(X0,sK13(X0)) )
| ~ spl23_14 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f275,plain,
( h_both(sK21,sK10(sK21))
| ~ spl23_27 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f2410,plain,
( ~ spl23_23
| ~ spl23_101 ),
inference(avatar_contradiction_clause,[],[f2409]) ).
fof(f2409,plain,
( $false
| ~ spl23_23
| ~ spl23_101 ),
inference(subsumption_resolution,[],[f2328,f206]) ).
fof(f2328,plain,
( h_true_only(sK21,sK13(sK21))
| ~ spl23_101 ),
inference(avatar_component_clause,[],[f2326]) ).
fof(f2326,plain,
( spl23_101
<=> h_true_only(sK21,sK13(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_101])]) ).
fof(f2396,plain,
( spl23_55
| spl23_56
| ~ spl23_3
| ~ spl23_21 ),
inference(avatar_split_clause,[],[f2395,f197,f123,f668,f664]) ).
fof(f664,plain,
( spl23_55
<=> h_true_only(sK4,sK18(sK4,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_55])]) ).
fof(f668,plain,
( spl23_56
<=> h_both(sK4,sK18(sK4,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_56])]) ).
fof(f123,plain,
( spl23_3
<=> g_true_only(sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).
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(f2395,plain,
( h_both(sK4,sK18(sK4,sK5))
| h_true_only(sK4,sK18(sK4,sK5))
| ~ spl23_3
| ~ spl23_21 ),
inference(resolution,[],[f2301,f92]) ).
fof(f2301,plain,
( ~ h_false_only(sK4,sK18(sK4,sK5))
| ~ spl23_3
| ~ spl23_21 ),
inference(resolution,[],[f125,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(f125,plain,
( g_true_only(sK4,sK5)
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f2394,plain,
( spl23_67
| ~ spl23_14
| ~ spl23_24
| ~ spl23_31 ),
inference(avatar_split_clause,[],[f2393,f290,f208,f169,f821]) ).
fof(f2393,plain,
( ! [X0] : ~ g_true_only(sK19,X0)
| ~ spl23_14
| ~ spl23_24
| ~ spl23_31 ),
inference(subsumption_resolution,[],[f2391,f209]) ).
fof(f2391,plain,
( ! [X0] :
( ~ g_true_only(sK19,X0)
| h_true_only(sK19,sK13(sK19)) )
| ~ spl23_14
| ~ spl23_31 ),
inference(resolution,[],[f292,f170]) ).
fof(f2329,plain,
( spl23_101
| spl23_35
| ~ spl23_14
| ~ spl23_28 ),
inference(avatar_split_clause,[],[f2315,f277,f169,f337,f2326]) ).
fof(f277,plain,
( spl23_28
<=> h_both(sK21,sK12(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_28])]) ).
fof(f2315,plain,
( ! [X0] :
( ~ g_true_only(sK21,X0)
| h_true_only(sK21,sK13(sK21)) )
| ~ spl23_14
| ~ spl23_28 ),
inference(resolution,[],[f170,f279]) ).
fof(f279,plain,
( h_both(sK21,sK12(sK21))
| ~ spl23_28 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f2318,plain,
( spl23_54
| ~ spl23_2
| ~ spl23_14
| ~ spl23_52 ),
inference(avatar_split_clause,[],[f2317,f629,f169,f119,f644]) ).
fof(f629,plain,
( spl23_52
<=> h_both(sK4,sK12(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_52])]) ).
fof(f2317,plain,
( ! [X0] : ~ g_true_only(sK4,X0)
| ~ spl23_2
| ~ spl23_14
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f2311,f1494]) ).
fof(f1494,plain,
( ! [X0] : ~ h_true_only(sK4,X0)
| ~ spl23_2 ),
inference(resolution,[],[f1457,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/benchmark/theBenchmark.p',true_only_h) ).
fof(f1457,plain,
( ! [X0] : h_false(sK4,X0)
| ~ spl23_2 ),
inference(subsumption_resolution,[],[f1454,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ h_both(X0,X1)
| h_false(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f1454,plain,
( ! [X0] :
( h_both(sK4,X0)
| h_false(sK4,X0) )
| ~ spl23_2 ),
inference(resolution,[],[f120,f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ h_false_only(X0,X1)
| h_false(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f2311,plain,
( ! [X0] :
( ~ g_true_only(sK4,X0)
| h_true_only(sK4,sK13(sK4)) )
| ~ spl23_14
| ~ spl23_52 ),
inference(resolution,[],[f170,f631]) ).
fof(f631,plain,
( h_both(sK4,sK12(sK4))
| ~ spl23_52 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f2300,plain,
( ~ spl23_16
| ~ spl23_18 ),
inference(avatar_contradiction_clause,[],[f2299]) ).
fof(f2299,plain,
( $false
| ~ spl23_16
| ~ spl23_18 ),
inference(subsumption_resolution,[],[f2298,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(f2298,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(f2288,plain,
( spl23_42
| ~ spl23_47 ),
inference(avatar_split_clause,[],[f1175,f523,f451]) ).
fof(f451,plain,
( spl23_42
<=> ! [X0] :
( g_false_only(sK19,X0)
| g_true_only(sK19,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_42])]) ).
fof(f1175,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| g_true_only(sK19,X0) )
| ~ spl23_47 ),
inference(duplicate_literal_removal,[],[f1174]) ).
fof(f1174,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| g_false_only(sK19,X0)
| g_true_only(sK19,X0) )
| ~ spl23_47 ),
inference(resolution,[],[f524,f93]) ).
fof(f524,plain,
( ! [X0] :
( ~ g_both(sK19,X0)
| g_false_only(sK19,X0) )
| ~ spl23_47 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f2286,plain,
( ~ spl23_21
| ~ spl23_22
| ~ spl23_23
| ~ spl23_93 ),
inference(avatar_contradiction_clause,[],[f2285]) ).
fof(f2285,plain,
( $false
| ~ spl23_21
| ~ spl23_22
| ~ spl23_23
| ~ spl23_93 ),
inference(subsumption_resolution,[],[f2282,f1576]) ).
fof(f2282,plain,
( ~ g_true_only(sK21,sK17(sK21))
| ~ spl23_21
| ~ spl23_22
| ~ spl23_23
| ~ spl23_93 ),
inference(resolution,[],[f2257,f202]) ).
fof(f202,plain,
( ! [X10,X9] :
( ~ h_both(X9,sK18(X9,X10))
| ~ g_true_only(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(f2257,plain,
( h_both(sK21,sK18(sK21,sK17(sK21)))
| ~ spl23_21
| ~ spl23_23
| ~ spl23_93 ),
inference(subsumption_resolution,[],[f2256,f206]) ).
fof(f2256,plain,
( h_both(sK21,sK18(sK21,sK17(sK21)))
| h_true_only(sK21,sK18(sK21,sK17(sK21)))
| ~ spl23_21
| ~ spl23_93 ),
inference(resolution,[],[f2235,f92]) ).
fof(f2235,plain,
( ~ h_false_only(sK21,sK18(sK21,sK17(sK21)))
| ~ spl23_21
| ~ spl23_93 ),
inference(resolution,[],[f1576,f198]) ).
fof(f2230,plain,
( spl23_33
| spl23_93
| spl23_33
| ~ spl23_15
| ~ spl23_20
| ~ spl23_23 ),
inference(avatar_split_clause,[],[f2229,f205,f193,f173,f320,f1574,f320]) ).
fof(f320,plain,
( spl23_33
<=> ! [X1] :
( g_false_only(sK21,X1)
| g_true_only(sK21,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_33])]) ).
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(f2229,plain,
( ! [X0,X1] :
( g_true_only(sK21,X0)
| g_false_only(sK21,X0)
| g_true_only(sK21,sK17(sK21))
| g_false_only(sK21,X1)
| g_true_only(sK21,X1) )
| ~ spl23_15
| ~ spl23_20
| ~ spl23_23 ),
inference(subsumption_resolution,[],[f2219,f206]) ).
fof(f2219,plain,
( ! [X0,X1] :
( g_true_only(sK21,X0)
| g_false_only(sK21,X0)
| g_true_only(sK21,sK17(sK21))
| h_true_only(sK21,sK16(sK21))
| g_false_only(sK21,X1)
| g_true_only(sK21,X1) )
| ~ spl23_15
| ~ spl23_20
| ~ spl23_23 ),
inference(resolution,[],[f2168,f206]) ).
fof(f2168,plain,
( ! [X2,X0,X1] :
( g_true_only(X0,X1)
| h_true_only(X0,sK18(X0,X2))
| g_false_only(X0,X1)
| g_true_only(X0,sK17(X0))
| h_true_only(X0,sK16(X0))
| g_false_only(X0,X2)
| g_true_only(X0,X2) )
| ~ spl23_15
| ~ spl23_20 ),
inference(resolution,[],[f2147,f303]) ).
fof(f303,plain,
( ! [X0,X1] :
( h_both(X0,sK18(X0,X1))
| h_true_only(X0,sK18(X0,X1))
| g_false_only(X0,X1)
| g_true_only(X0,X1) )
| ~ spl23_20 ),
inference(resolution,[],[f302,f93]) ).
fof(f302,plain,
( ! [X0,X1] :
( ~ g_both(X0,X1)
| h_both(X0,sK18(X0,X1))
| h_true_only(X0,sK18(X0,X1)) )
| ~ spl23_20 ),
inference(resolution,[],[f194,f92]) ).
fof(f194,plain,
( ! [X10,X9] :
( ~ h_false_only(X9,sK18(X9,X10))
| ~ g_both(X9,X10) )
| ~ spl23_20 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f2147,plain,
( ! [X2,X0,X1] :
( ~ h_both(X0,X1)
| g_true_only(X0,sK17(X0))
| h_true_only(X0,sK16(X0))
| g_false_only(X0,X2)
| g_true_only(X0,X2) )
| ~ spl23_15 ),
inference(resolution,[],[f174,f93]) ).
fof(f2199,plain,
( spl23_91
| ~ spl23_20
| ~ spl23_37 ),
inference(avatar_split_clause,[],[f2197,f357,f193,f1537]) ).
fof(f2197,plain,
( ! [X0] : ~ g_both(sK21,X0)
| ~ spl23_20
| ~ spl23_37 ),
inference(resolution,[],[f358,f194]) ).
fof(f2145,plain,
( spl23_59
| ~ spl23_17 ),
inference(avatar_split_clause,[],[f2141,f180,f707]) ).
fof(f707,plain,
( spl23_59
<=> ! [X0] : ~ h_true_only(sK14,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_59])]) ).
fof(f180,plain,
( spl23_17
<=> ! [X1] : h_false_only(sK14,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_17])]) ).
fof(f2141,plain,
( ! [X0] : ~ h_true_only(sK14,X0)
| ~ spl23_17 ),
inference(resolution,[],[f2120,f97]) ).
fof(f97,plain,
! [X0,X1] :
( h_true(X0,X1)
| ~ h_true_only(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f2120,plain,
( ! [X0] : ~ h_true(sK14,X0)
| ~ spl23_17 ),
inference(resolution,[],[f181,f110]) ).
fof(f181,plain,
( ! [X1] : h_false_only(sK14,X1)
| ~ spl23_17 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f2144,plain,
( ~ spl23_5
| ~ spl23_86 ),
inference(avatar_contradiction_clause,[],[f2142]) ).
fof(f2142,plain,
( $false
| ~ spl23_5
| ~ spl23_86 ),
inference(resolution,[],[f1479,f133]) ).
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(f1479,plain,
( ! [X0] : ~ g_both(sK4,X0)
| ~ spl23_86 ),
inference(avatar_component_clause,[],[f1478]) ).
fof(f2132,plain,
( spl23_86
| ~ spl23_4
| ~ spl23_20 ),
inference(avatar_split_clause,[],[f2131,f193,f127,f1478]) ).
fof(f2131,plain,
( ! [X0] : ~ g_both(sK4,X0)
| ~ spl23_4
| ~ spl23_20 ),
inference(resolution,[],[f128,f194]) ).
fof(f2127,plain,
( spl23_88
| ~ spl23_17
| ~ spl23_20 ),
inference(avatar_split_clause,[],[f2124,f193,f180,f1487]) ).
fof(f1487,plain,
( spl23_88
<=> ! [X0] : ~ g_both(sK14,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_88])]) ).
fof(f2124,plain,
( ! [X0] : ~ g_both(sK14,X0)
| ~ spl23_17
| ~ spl23_20 ),
inference(resolution,[],[f181,f194]) ).
fof(f2126,plain,
( spl23_88
| ~ spl23_12
| ~ spl23_17
| ~ spl23_18 ),
inference(avatar_split_clause,[],[f2125,f184,f180,f161,f1487]) ).
fof(f2125,plain,
( ! [X0] : ~ g_both(sK14,X0)
| ~ spl23_12
| ~ spl23_17
| ~ spl23_18 ),
inference(subsumption_resolution,[],[f2122,f185]) ).
fof(f2122,plain,
( ! [X0] :
( ~ g_both(sK14,X0)
| g_true_only(sK14,sK11(sK14)) )
| ~ spl23_12
| ~ spl23_17 ),
inference(resolution,[],[f181,f162]) ).
fof(f2118,plain,
( ~ spl23_19
| ~ spl23_88 ),
inference(avatar_contradiction_clause,[],[f2117]) ).
fof(f2117,plain,
( $false
| ~ spl23_19
| ~ spl23_88 ),
inference(subsumption_resolution,[],[f190,f1488]) ).
fof(f1488,plain,
( ! [X0] : ~ g_both(sK14,X0)
| ~ spl23_88 ),
inference(avatar_component_clause,[],[f1487]) ).
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(f2112,plain,
( ~ spl23_21
| ~ spl23_22
| ~ spl23_23
| ~ spl23_36 ),
inference(avatar_contradiction_clause,[],[f2111]) ).
fof(f2111,plain,
( $false
| ~ spl23_21
| ~ spl23_22
| ~ spl23_23
| ~ spl23_36 ),
inference(subsumption_resolution,[],[f2107,f355]) ).
fof(f355,plain,
( g_true_only(sK21,sK6(sK21))
| ~ spl23_36 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f2107,plain,
( ~ g_true_only(sK21,sK6(sK21))
| ~ spl23_21
| ~ spl23_22
| ~ spl23_23
| ~ spl23_36 ),
inference(resolution,[],[f2026,f202]) ).
fof(f2026,plain,
( h_both(sK21,sK18(sK21,sK6(sK21)))
| ~ spl23_21
| ~ spl23_23
| ~ spl23_36 ),
inference(subsumption_resolution,[],[f2025,f206]) ).
fof(f2025,plain,
( h_both(sK21,sK18(sK21,sK6(sK21)))
| h_true_only(sK21,sK18(sK21,sK6(sK21)))
| ~ spl23_21
| ~ spl23_36 ),
inference(resolution,[],[f1985,f92]) ).
fof(f1985,plain,
( ~ h_false_only(sK21,sK18(sK21,sK6(sK21)))
| ~ spl23_21
| ~ spl23_36 ),
inference(resolution,[],[f355,f198]) ).
fof(f1982,plain,
( spl23_33
| spl23_93
| ~ spl23_12
| ~ spl23_13
| ~ spl23_15
| ~ spl23_23
| spl23_25 ),
inference(avatar_split_clause,[],[f1981,f212,f205,f173,f165,f161,f1574,f320]) ).
fof(f212,plain,
( spl23_25
<=> g_false_only(sK21,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_25])]) ).
fof(f1981,plain,
( ! [X0] :
( g_true_only(sK21,sK17(sK21))
| g_true_only(sK21,X0)
| g_false_only(sK21,X0) )
| ~ spl23_12
| ~ spl23_13
| ~ spl23_15
| ~ spl23_23
| spl23_25 ),
inference(subsumption_resolution,[],[f1980,f206]) ).
fof(f1980,plain,
( ! [X0] :
( g_true_only(sK21,sK17(sK21))
| g_true_only(sK21,X0)
| g_false_only(sK21,X0)
| h_true_only(sK21,sK10(sK21)) )
| ~ spl23_12
| ~ spl23_13
| ~ spl23_15
| ~ spl23_23
| spl23_25 ),
inference(subsumption_resolution,[],[f1979,f206]) ).
fof(f1979,plain,
( ! [X0] :
( g_true_only(sK21,sK17(sK21))
| g_true_only(sK21,X0)
| h_true_only(sK21,sK16(sK21))
| g_false_only(sK21,X0)
| h_true_only(sK21,sK10(sK21)) )
| ~ spl23_12
| ~ spl23_13
| ~ spl23_15
| ~ spl23_23
| spl23_25 ),
inference(subsumption_resolution,[],[f1951,f206]) ).
fof(f1951,plain,
( ! [X0] :
( g_true_only(sK21,sK17(sK21))
| g_true_only(sK21,X0)
| h_true_only(sK21,sK12(sK21))
| h_true_only(sK21,sK16(sK21))
| g_false_only(sK21,X0)
| h_true_only(sK21,sK10(sK21)) )
| ~ spl23_12
| ~ spl23_13
| ~ spl23_15
| spl23_25 ),
inference(resolution,[],[f1644,f214]) ).
fof(f214,plain,
( ~ g_false_only(sK21,sK22)
| spl23_25 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f1644,plain,
( ! [X2,X0,X1] :
( g_false_only(X0,X1)
| g_true_only(X0,sK17(X0))
| g_true_only(X0,X2)
| h_true_only(X0,sK12(X0))
| h_true_only(X0,sK16(X0))
| g_false_only(X0,X2)
| h_true_only(X0,sK10(X0)) )
| ~ spl23_12
| ~ spl23_13
| ~ spl23_15 ),
inference(subsumption_resolution,[],[f1640,f1559]) ).
fof(f1559,plain,
( ! [X2,X0,X1] :
( ~ h_both(X0,X1)
| g_true_only(X0,sK17(X0))
| h_true_only(X0,sK16(X0))
| g_false_only(X0,X2)
| g_true_only(X0,X2) )
| ~ spl23_15 ),
inference(resolution,[],[f174,f93]) ).
fof(f1640,plain,
( ! [X2,X0,X1] :
( g_false_only(X0,X1)
| h_both(X0,sK10(X0))
| h_true_only(X0,sK12(X0))
| h_true_only(X0,sK10(X0))
| g_true_only(X0,sK17(X0))
| h_true_only(X0,sK16(X0))
| g_false_only(X0,X2)
| g_true_only(X0,X2) )
| ~ spl23_12
| ~ spl23_13
| ~ spl23_15 ),
inference(resolution,[],[f1610,f1559]) ).
fof(f1610,plain,
( ! [X0,X1] :
( g_false_only(X0,X1)
| h_both(X0,sK12(X0))
| h_both(X0,sK10(X0))
| h_true_only(X0,sK12(X0))
| h_true_only(X0,sK10(X0)) )
| ~ spl23_12
| ~ spl23_13 ),
inference(subsumption_resolution,[],[f1598,f224]) ).
fof(f224,plain,
( ! [X0,X1] :
( ~ g_true_only(X0,X1)
| h_true_only(X0,sK12(X0))
| h_both(X0,sK12(X0)) )
| ~ spl23_13 ),
inference(resolution,[],[f92,f166]) ).
fof(f1598,plain,
( ! [X0,X1] :
( h_both(X0,sK10(X0))
| h_true_only(X0,sK10(X0))
| g_false_only(X0,X1)
| g_true_only(X0,sK11(X0))
| h_true_only(X0,sK12(X0))
| h_both(X0,sK12(X0)) )
| ~ spl23_12
| ~ spl23_13 ),
inference(resolution,[],[f1560,f224]) ).
fof(f1560,plain,
( ! [X0,X1] :
( h_both(X0,sK10(X0))
| g_true_only(X0,X1)
| h_true_only(X0,sK10(X0))
| g_false_only(X0,X1)
| g_true_only(X0,sK11(X0)) )
| ~ spl23_12 ),
inference(resolution,[],[f1464,f93]) ).
fof(f1464,plain,
( ! [X0,X1] :
( ~ g_both(X0,X1)
| g_true_only(X0,sK11(X0))
| h_both(X0,sK10(X0))
| h_true_only(X0,sK10(X0)) )
| ~ spl23_12 ),
inference(resolution,[],[f162,f92]) ).
fof(f1930,plain,
( spl23_39
| ~ spl23_22
| ~ spl23_33
| ~ spl23_95 ),
inference(avatar_split_clause,[],[f1929,f1660,f320,f201,f392]) ).
fof(f1660,plain,
( spl23_95
<=> ! [X0] :
( g_false_only(sK21,X0)
| h_both(sK21,sK18(sK21,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_95])]) ).
fof(f1929,plain,
( ! [X0] : g_false_only(sK21,X0)
| ~ spl23_22
| ~ spl23_33
| ~ spl23_95 ),
inference(subsumption_resolution,[],[f1925,f321]) ).
fof(f321,plain,
( ! [X1] :
( g_true_only(sK21,X1)
| g_false_only(sK21,X1) )
| ~ spl23_33 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f1925,plain,
( ! [X0] :
( ~ g_true_only(sK21,X0)
| g_false_only(sK21,X0) )
| ~ spl23_22
| ~ spl23_95 ),
inference(resolution,[],[f1661,f202]) ).
fof(f1661,plain,
( ! [X0] :
( h_both(sK21,sK18(sK21,X0))
| g_false_only(sK21,X0) )
| ~ spl23_95 ),
inference(avatar_component_clause,[],[f1660]) ).
fof(f1725,plain,
( spl23_95
| ~ spl23_21
| ~ spl23_23
| ~ spl23_33 ),
inference(avatar_split_clause,[],[f1724,f320,f205,f197,f1660]) ).
fof(f1724,plain,
( ! [X0] :
( g_false_only(sK21,X0)
| h_both(sK21,sK18(sK21,X0)) )
| ~ spl23_21
| ~ spl23_23
| ~ spl23_33 ),
inference(subsumption_resolution,[],[f1723,f206]) ).
fof(f1723,plain,
( ! [X0] :
( g_false_only(sK21,X0)
| h_both(sK21,sK18(sK21,X0))
| h_true_only(sK21,sK18(sK21,X0)) )
| ~ spl23_21
| ~ spl23_33 ),
inference(resolution,[],[f1614,f92]) ).
fof(f1614,plain,
( ! [X0] :
( ~ h_false_only(sK21,sK18(sK21,X0))
| g_false_only(sK21,X0) )
| ~ spl23_21
| ~ spl23_33 ),
inference(resolution,[],[f321,f198]) ).
fof(f1558,plain,
( spl23_33
| ~ spl23_91 ),
inference(avatar_split_clause,[],[f1557,f1537,f320]) ).
fof(f1557,plain,
( ! [X0] :
( g_false_only(sK21,X0)
| g_true_only(sK21,X0) )
| ~ spl23_91 ),
inference(resolution,[],[f1538,f93]) ).
fof(f1538,plain,
( ! [X0] : ~ g_both(sK21,X0)
| ~ spl23_91 ),
inference(avatar_component_clause,[],[f1537]) ).
fof(f1556,plain,
( spl23_61
| ~ spl23_21
| ~ spl23_22
| ~ spl23_24
| ~ spl23_42 ),
inference(avatar_split_clause,[],[f1555,f451,f208,f201,f197,f752]) ).
fof(f1555,plain,
( ! [X0] : g_false_only(sK19,X0)
| ~ spl23_21
| ~ spl23_22
| ~ spl23_24
| ~ spl23_42 ),
inference(subsumption_resolution,[],[f1554,f452]) ).
fof(f452,plain,
( ! [X0] :
( g_true_only(sK19,X0)
| g_false_only(sK19,X0) )
| ~ spl23_42 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f1554,plain,
( ! [X0] :
( ~ g_true_only(sK19,X0)
| g_false_only(sK19,X0) )
| ~ spl23_21
| ~ spl23_22
| ~ spl23_24
| ~ spl23_42 ),
inference(resolution,[],[f202,f1342]) ).
fof(f1342,plain,
( ! [X0] :
( h_both(sK19,sK18(sK19,X0))
| g_false_only(sK19,X0) )
| ~ spl23_21
| ~ spl23_24
| ~ spl23_42 ),
inference(subsumption_resolution,[],[f1341,f209]) ).
fof(f1341,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| h_both(sK19,sK18(sK19,X0))
| h_true_only(sK19,sK18(sK19,X0)) )
| ~ spl23_21
| ~ spl23_42 ),
inference(resolution,[],[f1162,f92]) ).
fof(f1162,plain,
( ! [X0] :
( ~ h_false_only(sK19,sK18(sK19,X0))
| g_false_only(sK19,X0) )
| ~ spl23_21
| ~ spl23_42 ),
inference(resolution,[],[f452,f198]) ).
fof(f1529,plain,
( spl23_61
| ~ spl23_42
| ~ spl23_67 ),
inference(avatar_split_clause,[],[f1528,f821,f451,f752]) ).
fof(f1528,plain,
( ! [X0] : g_false_only(sK19,X0)
| ~ spl23_42
| ~ spl23_67 ),
inference(resolution,[],[f822,f452]) ).
fof(f1458,plain,
( spl23_54
| spl23_52
| ~ spl23_2
| ~ spl23_13 ),
inference(avatar_split_clause,[],[f1455,f165,f119,f629,f644]) ).
fof(f1455,plain,
( ! [X0] :
( h_both(sK4,sK12(sK4))
| ~ g_true_only(sK4,X0) )
| ~ spl23_2
| ~ spl23_13 ),
inference(resolution,[],[f120,f166]) ).
fof(f1452,plain,
( ~ spl23_3
| ~ spl23_54 ),
inference(avatar_contradiction_clause,[],[f1451]) ).
fof(f1451,plain,
( $false
| ~ spl23_3
| ~ spl23_54 ),
inference(resolution,[],[f645,f125]) ).
fof(f1432,plain,
( spl23_54
| ~ spl23_4
| ~ spl23_13 ),
inference(avatar_split_clause,[],[f1430,f165,f127,f644]) ).
fof(f1430,plain,
( ! [X0] : ~ g_true_only(sK4,X0)
| ~ spl23_4
| ~ spl23_13 ),
inference(resolution,[],[f128,f166]) ).
fof(f1420,plain,
( spl23_67
| ~ spl23_14
| ~ spl23_24
| ~ spl23_32 ),
inference(avatar_split_clause,[],[f1419,f294,f208,f169,f821]) ).
fof(f1419,plain,
( ! [X0] : ~ g_true_only(sK19,X0)
| ~ spl23_14
| ~ spl23_24
| ~ spl23_32 ),
inference(subsumption_resolution,[],[f1408,f209]) ).
fof(f1408,plain,
( ! [X0] :
( ~ g_true_only(sK19,X0)
| h_true_only(sK19,sK13(sK19)) )
| ~ spl23_14
| ~ spl23_32 ),
inference(resolution,[],[f170,f296]) ).
fof(f296,plain,
( h_both(sK19,sK12(sK19))
| ~ spl23_32 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f1412,plain,
( spl23_18
| ~ spl23_14
| ~ spl23_58
| ~ spl23_59 ),
inference(avatar_split_clause,[],[f1411,f707,f702,f169,f184]) ).
fof(f702,plain,
( spl23_58
<=> h_both(sK14,sK8(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_58])]) ).
fof(f1411,plain,
( ! [X0] : ~ g_true_only(sK14,X0)
| ~ spl23_14
| ~ spl23_58
| ~ spl23_59 ),
inference(subsumption_resolution,[],[f1404,f708]) ).
fof(f708,plain,
( ! [X0] : ~ h_true_only(sK14,X0)
| ~ spl23_59 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f1404,plain,
( ! [X0] :
( ~ g_true_only(sK14,X0)
| h_true_only(sK14,sK13(sK14)) )
| ~ spl23_14
| ~ spl23_58 ),
inference(resolution,[],[f170,f704]) ).
fof(f704,plain,
( h_both(sK14,sK8(sK14))
| ~ spl23_58 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f1356,plain,
( ~ spl23_21
| ~ spl23_22
| ~ spl23_24
| ~ spl23_60 ),
inference(avatar_contradiction_clause,[],[f1355]) ).
fof(f1355,plain,
( $false
| ~ spl23_21
| ~ spl23_22
| ~ spl23_24
| ~ spl23_60 ),
inference(subsumption_resolution,[],[f1350,f722]) ).
fof(f722,plain,
( g_true_only(sK19,sK17(sK19))
| ~ spl23_60 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f1350,plain,
( ~ g_true_only(sK19,sK17(sK19))
| ~ spl23_21
| ~ spl23_22
| ~ spl23_24
| ~ spl23_60 ),
inference(resolution,[],[f1234,f202]) ).
fof(f1234,plain,
( h_both(sK19,sK18(sK19,sK17(sK19)))
| ~ spl23_21
| ~ spl23_24
| ~ spl23_60 ),
inference(subsumption_resolution,[],[f1233,f209]) ).
fof(f1233,plain,
( h_both(sK19,sK18(sK19,sK17(sK19)))
| h_true_only(sK19,sK18(sK19,sK17(sK19)))
| ~ spl23_21
| ~ spl23_60 ),
inference(resolution,[],[f1170,f92]) ).
fof(f1170,plain,
( ~ h_false_only(sK19,sK18(sK19,sK17(sK19)))
| ~ spl23_21
| ~ spl23_60 ),
inference(resolution,[],[f722,f198]) ).
fof(f1076,plain,
( spl23_42
| ~ spl23_15
| ~ spl23_20
| ~ spl23_24
| spl23_60 ),
inference(avatar_split_clause,[],[f1075,f720,f208,f193,f173,f451]) ).
fof(f1075,plain,
( ! [X0] :
( g_true_only(sK19,X0)
| g_false_only(sK19,X0) )
| ~ spl23_15
| ~ spl23_20
| ~ spl23_24
| spl23_60 ),
inference(subsumption_resolution,[],[f1074,f209]) ).
fof(f1074,plain,
( ! [X0] :
( g_true_only(sK19,X0)
| g_false_only(sK19,X0)
| h_true_only(sK19,sK16(sK19)) )
| ~ spl23_15
| ~ spl23_20
| ~ spl23_24
| spl23_60 ),
inference(subsumption_resolution,[],[f1070,f721]) ).
fof(f1070,plain,
( ! [X0] :
( g_true_only(sK19,X0)
| g_false_only(sK19,X0)
| g_true_only(sK19,sK17(sK19))
| h_true_only(sK19,sK16(sK19)) )
| ~ spl23_15
| ~ spl23_20
| ~ spl23_24 ),
inference(resolution,[],[f1007,f209]) ).
fof(f1007,plain,
( ! [X2,X3] :
( h_true_only(X2,sK18(X2,X3))
| g_true_only(X2,X3)
| g_false_only(X2,X3)
| g_true_only(X2,sK17(X2))
| h_true_only(X2,sK16(X2)) )
| ~ spl23_15
| ~ spl23_20 ),
inference(duplicate_literal_removal,[],[f1006]) ).
fof(f1006,plain,
( ! [X2,X3] :
( g_true_only(X2,X3)
| h_true_only(X2,sK18(X2,X3))
| g_false_only(X2,X3)
| g_true_only(X2,sK17(X2))
| h_true_only(X2,sK16(X2))
| g_false_only(X2,X3) )
| ~ spl23_15
| ~ spl23_20 ),
inference(factoring,[],[f962]) ).
fof(f962,plain,
( ! [X2,X0,X1] :
( g_true_only(X0,X1)
| h_true_only(X0,sK18(X0,X2))
| g_false_only(X0,X1)
| g_true_only(X0,sK17(X0))
| h_true_only(X0,sK16(X0))
| g_false_only(X0,X2)
| g_true_only(X0,X2) )
| ~ spl23_15
| ~ spl23_20 ),
inference(resolution,[],[f955,f303]) ).
fof(f955,plain,
( ! [X2,X0,X1] :
( ~ h_both(X0,X1)
| g_true_only(X0,sK17(X0))
| h_true_only(X0,sK16(X0))
| g_false_only(X0,X2)
| g_true_only(X0,X2) )
| ~ spl23_15 ),
inference(resolution,[],[f174,f93]) ).
fof(f938,plain,
( ~ spl23_3
| ~ spl23_22
| ~ spl23_56 ),
inference(avatar_split_clause,[],[f927,f668,f201,f123]) ).
fof(f927,plain,
( ~ g_true_only(sK4,sK5)
| ~ spl23_22
| ~ spl23_56 ),
inference(resolution,[],[f670,f202]) ).
fof(f670,plain,
( h_both(sK4,sK18(sK4,sK5))
| ~ spl23_56 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f921,plain,
( ~ spl23_2
| ~ spl23_55 ),
inference(avatar_contradiction_clause,[],[f918]) ).
fof(f918,plain,
( $false
| ~ spl23_2
| ~ spl23_55 ),
inference(resolution,[],[f914,f666]) ).
fof(f666,plain,
( h_true_only(sK4,sK18(sK4,sK5))
| ~ spl23_55 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f914,plain,
( ! [X0] : ~ h_true_only(sK4,X0)
| ~ spl23_2 ),
inference(resolution,[],[f910,f98]) ).
fof(f910,plain,
( ! [X0] : h_false(sK4,X0)
| ~ spl23_2 ),
inference(subsumption_resolution,[],[f906,f101]) ).
fof(f906,plain,
( ! [X0] :
( h_both(sK4,X0)
| h_false(sK4,X0) )
| ~ spl23_2 ),
inference(resolution,[],[f120,f109]) ).
fof(f861,plain,
( ~ spl23_60
| ~ spl23_67 ),
inference(avatar_contradiction_clause,[],[f860]) ).
fof(f860,plain,
( $false
| ~ spl23_60
| ~ spl23_67 ),
inference(subsumption_resolution,[],[f722,f822]) ).
fof(f854,plain,
( ~ spl23_16
| ~ spl23_21
| ~ spl23_22
| ~ spl23_59 ),
inference(avatar_contradiction_clause,[],[f853]) ).
fof(f853,plain,
( $false
| ~ spl23_16
| ~ spl23_21
| ~ spl23_22
| ~ spl23_59 ),
inference(subsumption_resolution,[],[f849,f762]) ).
fof(f762,plain,
( g_true_only(sK14,sK9(sK14))
| ~ spl23_16 ),
inference(resolution,[],[f178,f76]) ).
fof(f849,plain,
( ~ g_true_only(sK14,sK9(sK14))
| ~ spl23_16
| ~ spl23_21
| ~ spl23_22
| ~ spl23_59 ),
inference(resolution,[],[f845,f202]) ).
fof(f845,plain,
( h_both(sK14,sK18(sK14,sK9(sK14)))
| ~ spl23_16
| ~ spl23_21
| ~ spl23_59 ),
inference(subsumption_resolution,[],[f841,f708]) ).
fof(f841,plain,
( h_both(sK14,sK18(sK14,sK9(sK14)))
| h_true_only(sK14,sK18(sK14,sK9(sK14)))
| ~ spl23_16
| ~ spl23_21 ),
inference(resolution,[],[f810,f92]) ).
fof(f810,plain,
( ~ h_false_only(sK14,sK18(sK14,sK9(sK14)))
| ~ spl23_16
| ~ spl23_21 ),
inference(resolution,[],[f762,f198]) ).
fof(f819,plain,
( spl23_26
| ~ spl23_61 ),
inference(avatar_contradiction_clause,[],[f818]) ).
fof(f818,plain,
( $false
| spl23_26
| ~ spl23_61 ),
inference(resolution,[],[f753,f219]) ).
fof(f219,plain,
( ~ g_false_only(sK19,sK20)
| spl23_26 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f217,plain,
( spl23_26
<=> g_false_only(sK19,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_26])]) ).
fof(f753,plain,
( ! [X0] : g_false_only(sK19,X0)
| ~ spl23_61 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f803,plain,
( ~ spl23_44
| ~ spl23_48 ),
inference(avatar_contradiction_clause,[],[f801]) ).
fof(f801,plain,
( $false
| ~ spl23_44
| ~ spl23_48 ),
inference(resolution,[],[f727,f586]) ).
fof(f586,plain,
( h_both(sK19,sK18(sK19,sK6(sK19)))
| ~ spl23_48 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f584,plain,
( spl23_48
<=> h_both(sK19,sK18(sK19,sK6(sK19))) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_48])]) ).
fof(f727,plain,
( ! [X0] : ~ h_both(sK19,X0)
| ~ spl23_44 ),
inference(resolution,[],[f692,f100]) ).
fof(f692,plain,
( ! [X0] : ~ h_true(sK19,X0)
| ~ spl23_44 ),
inference(resolution,[],[f461,f110]) ).
fof(f769,plain,
( spl23_18
| ~ spl23_13
| ~ spl23_17 ),
inference(avatar_split_clause,[],[f767,f180,f165,f184]) ).
fof(f767,plain,
( ! [X0] : ~ g_true_only(sK14,X0)
| ~ spl23_13
| ~ spl23_17 ),
inference(resolution,[],[f181,f166]) ).
fof(f764,plain,
( spl23_17
| spl23_59
| ~ spl23_16 ),
inference(avatar_split_clause,[],[f761,f176,f707,f180]) ).
fof(f761,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(f763,plain,
( spl23_17
| spl23_58
| ~ spl23_16 ),
inference(avatar_split_clause,[],[f760,f176,f702,f180]) ).
fof(f760,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(f607,plain,
( ~ spl23_41
| ~ spl23_22
| ~ spl23_48 ),
inference(avatar_split_clause,[],[f598,f584,f201,f447]) ).
fof(f447,plain,
( spl23_41
<=> g_true_only(sK19,sK6(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_41])]) ).
fof(f598,plain,
( ~ g_true_only(sK19,sK6(sK19))
| ~ spl23_22
| ~ spl23_48 ),
inference(resolution,[],[f586,f202]) ).
fof(f596,plain,
( spl23_48
| ~ spl23_21
| ~ spl23_41
| ~ spl23_45 ),
inference(avatar_split_clause,[],[f577,f465,f447,f197,f584]) ).
fof(f465,plain,
( spl23_45
<=> ! [X0] :
( h_false_only(sK19,X0)
| h_both(sK19,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_45])]) ).
fof(f577,plain,
( h_both(sK19,sK18(sK19,sK6(sK19)))
| ~ spl23_21
| ~ spl23_41
| ~ spl23_45 ),
inference(resolution,[],[f528,f466]) ).
fof(f466,plain,
( ! [X0] :
( h_false_only(sK19,X0)
| h_both(sK19,X0) )
| ~ spl23_45 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f528,plain,
( ~ h_false_only(sK19,sK18(sK19,sK6(sK19)))
| ~ spl23_21
| ~ spl23_41 ),
inference(resolution,[],[f449,f198]) ).
fof(f449,plain,
( g_true_only(sK19,sK6(sK19))
| ~ spl23_41 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f589,plain,
( spl23_48
| ~ spl23_21
| ~ spl23_24
| ~ spl23_41 ),
inference(avatar_split_clause,[],[f588,f447,f208,f197,f584]) ).
fof(f588,plain,
( h_both(sK19,sK18(sK19,sK6(sK19)))
| ~ spl23_21
| ~ spl23_24
| ~ spl23_41 ),
inference(subsumption_resolution,[],[f580,f209]) ).
fof(f580,plain,
( h_both(sK19,sK18(sK19,sK6(sK19)))
| h_true_only(sK19,sK18(sK19,sK6(sK19)))
| ~ spl23_21
| ~ spl23_41 ),
inference(resolution,[],[f528,f92]) ).
fof(f505,plain,
( ~ spl23_20
| ~ spl23_43
| ~ spl23_44 ),
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f503,plain,
( $false
| ~ spl23_20
| ~ spl23_43
| ~ spl23_44 ),
inference(resolution,[],[f490,f456]) ).
fof(f456,plain,
( g_both(sK19,sK6(sK19))
| ~ spl23_43 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f454,plain,
( spl23_43
<=> g_both(sK19,sK6(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_43])]) ).
fof(f490,plain,
( ! [X0] : ~ g_both(sK19,X0)
| ~ spl23_20
| ~ spl23_44 ),
inference(resolution,[],[f461,f194]) ).
fof(f484,plain,
( spl23_42
| ~ spl23_14
| ~ spl23_20
| ~ spl23_24
| ~ spl23_41 ),
inference(avatar_split_clause,[],[f483,f447,f208,f193,f169,f451]) ).
fof(f483,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| g_true_only(sK19,X0) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_24
| ~ spl23_41 ),
inference(subsumption_resolution,[],[f482,f209]) ).
fof(f482,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| g_true_only(sK19,X0)
| h_true_only(sK19,sK13(sK19)) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_24
| ~ spl23_41 ),
inference(subsumption_resolution,[],[f477,f209]) ).
fof(f477,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| g_true_only(sK19,X0)
| h_true_only(sK19,sK18(sK19,X0))
| h_true_only(sK19,sK13(sK19)) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_41 ),
inference(resolution,[],[f449,f308]) ).
fof(f308,plain,
( ! [X2,X0,X1] :
( ~ g_true_only(X0,X2)
| g_false_only(X0,X1)
| g_true_only(X0,X1)
| h_true_only(X0,sK18(X0,X1))
| h_true_only(X0,sK13(X0)) )
| ~ spl23_14
| ~ spl23_20 ),
inference(resolution,[],[f303,f170]) ).
fof(f473,plain,
( spl23_42
| spl23_42
| spl23_45
| ~ spl23_7
| ~ spl23_20
| ~ spl23_24 ),
inference(avatar_split_clause,[],[f472,f208,f193,f141,f465,f451,f451]) ).
fof(f141,plain,
( spl23_7
<=> ! [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))
| h_both(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_7])]) ).
fof(f472,plain,
( ! [X2,X0,X1] :
( h_false_only(sK19,X1)
| g_true_only(sK19,X0)
| g_false_only(sK19,X2)
| g_false_only(sK19,X0)
| h_both(sK19,X1)
| g_true_only(sK19,X2) )
| ~ spl23_7
| ~ spl23_20
| ~ spl23_24 ),
inference(subsumption_resolution,[],[f444,f209]) ).
fof(f444,plain,
( ! [X2,X0,X1] :
( h_true_only(sK19,sK18(sK19,X0))
| h_false_only(sK19,X1)
| g_true_only(sK19,X0)
| g_false_only(sK19,X2)
| g_false_only(sK19,X0)
| h_both(sK19,X1)
| g_true_only(sK19,X2) )
| ~ spl23_7
| ~ spl23_20
| ~ spl23_24 ),
inference(resolution,[],[f209,f311]) ).
fof(f311,plain,
( ! [X2,X3,X0,X1] :
( h_true_only(X0,sK18(X0,X1))
| h_false_only(X0,X2)
| h_true_only(X0,sK7(X0,X3))
| g_true_only(X0,X1)
| g_false_only(X0,X3)
| g_false_only(X0,X1)
| h_both(X0,X2)
| g_true_only(X0,X3) )
| ~ spl23_7
| ~ spl23_20 ),
inference(duplicate_literal_removal,[],[f310]) ).
fof(f310,plain,
( ! [X2,X3,X0,X1] :
( g_false_only(X0,X1)
| g_true_only(X0,X1)
| h_true_only(X0,sK18(X0,X1))
| h_false_only(X0,X2)
| g_false_only(X0,X3)
| h_true_only(X0,sK7(X0,X3))
| h_both(X0,X2)
| g_false_only(X0,X3)
| g_true_only(X0,X3) )
| ~ spl23_7
| ~ spl23_20 ),
inference(resolution,[],[f307,f93]) ).
fof(f307,plain,
( ! [X2,X3,X0,X1] :
( ~ g_both(X0,X2)
| g_false_only(X0,X1)
| g_true_only(X0,X1)
| h_true_only(X0,sK18(X0,X1))
| h_false_only(X0,X3)
| g_false_only(X0,X2)
| h_true_only(X0,sK7(X0,X2))
| h_both(X0,X3) )
| ~ spl23_7
| ~ spl23_20 ),
inference(resolution,[],[f303,f142]) ).
fof(f142,plain,
( ! [X2,X3,X0,X5] :
( ~ h_both(X0,X5)
| ~ g_both(X0,X3)
| h_false_only(X0,X2)
| g_false_only(X0,X3)
| h_true_only(X0,sK7(X0,X3))
| h_both(X0,X2) )
| ~ spl23_7 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f471,plain,
( spl23_41
| spl23_42
| spl23_42
| spl23_44
| ~ spl23_8
| ~ spl23_20
| ~ spl23_24 ),
inference(avatar_split_clause,[],[f470,f208,f193,f145,f460,f451,f451,f447]) ).
fof(f470,plain,
( ! [X2,X0,X1] :
( h_false_only(sK19,X1)
| g_true_only(sK19,X0)
| g_false_only(sK19,X2)
| g_false_only(sK19,X0)
| g_true_only(sK19,sK6(sK19))
| g_true_only(sK19,X2) )
| ~ spl23_8
| ~ spl23_20
| ~ spl23_24 ),
inference(subsumption_resolution,[],[f443,f209]) ).
fof(f443,plain,
( ! [X2,X0,X1] :
( h_true_only(sK19,sK18(sK19,X0))
| h_false_only(sK19,X1)
| g_true_only(sK19,X0)
| g_false_only(sK19,X2)
| g_false_only(sK19,X0)
| g_true_only(sK19,sK6(sK19))
| g_true_only(sK19,X2) )
| ~ spl23_8
| ~ spl23_20
| ~ spl23_24 ),
inference(resolution,[],[f209,f330]) ).
fof(f330,plain,
( ! [X2,X3,X0,X1] :
( h_true_only(X0,sK18(X0,X1))
| h_false_only(X0,X2)
| h_true_only(X0,sK7(X0,X3))
| g_true_only(X0,X1)
| g_false_only(X0,X3)
| g_false_only(X0,X1)
| g_true_only(X0,sK6(X0))
| g_true_only(X0,X3) )
| ~ spl23_8
| ~ spl23_20 ),
inference(duplicate_literal_removal,[],[f329]) ).
fof(f329,plain,
( ! [X2,X3,X0,X1] :
( g_false_only(X0,X1)
| g_true_only(X0,X1)
| h_true_only(X0,sK18(X0,X1))
| h_false_only(X0,X2)
| g_false_only(X0,X3)
| h_true_only(X0,sK7(X0,X3))
| g_true_only(X0,sK6(X0))
| g_false_only(X0,X3)
| g_true_only(X0,X3) )
| ~ spl23_8
| ~ spl23_20 ),
inference(resolution,[],[f306,f93]) ).
fof(f306,plain,
( ! [X2,X3,X0,X1] :
( ~ g_both(X0,X2)
| g_false_only(X0,X1)
| g_true_only(X0,X1)
| h_true_only(X0,sK18(X0,X1))
| h_false_only(X0,X3)
| g_false_only(X0,X2)
| h_true_only(X0,sK7(X0,X2))
| g_true_only(X0,sK6(X0)) )
| ~ spl23_8
| ~ spl23_20 ),
inference(resolution,[],[f303,f146]) ).
fof(f469,plain,
( spl23_41
| spl23_42
| spl23_43
| spl23_42
| ~ spl23_10
| ~ spl23_20
| ~ spl23_24 ),
inference(avatar_split_clause,[],[f468,f208,f193,f153,f451,f454,f451,f447]) ).
fof(f153,plain,
( spl23_10
<=> ! [X5,X0,X3] :
( g_both(X0,sK6(X0))
| ~ 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_10])]) ).
fof(f468,plain,
( ! [X0,X1] :
( g_false_only(sK19,X0)
| g_both(sK19,sK6(sK19))
| g_false_only(sK19,X1)
| g_true_only(sK19,X0)
| g_true_only(sK19,sK6(sK19))
| g_true_only(sK19,X1) )
| ~ spl23_10
| ~ spl23_20
| ~ spl23_24 ),
inference(subsumption_resolution,[],[f442,f209]) ).
fof(f442,plain,
( ! [X0,X1] :
( h_true_only(sK19,sK18(sK19,X0))
| g_false_only(sK19,X0)
| g_both(sK19,sK6(sK19))
| g_false_only(sK19,X1)
| g_true_only(sK19,X0)
| g_true_only(sK19,sK6(sK19))
| g_true_only(sK19,X1) )
| ~ spl23_10
| ~ spl23_20
| ~ spl23_24 ),
inference(resolution,[],[f209,f341]) ).
fof(f341,plain,
( ! [X2,X0,X1] :
( h_true_only(X0,sK18(X0,X1))
| h_true_only(X0,sK7(X0,X2))
| g_false_only(X0,X1)
| g_both(X0,sK6(X0))
| g_false_only(X0,X2)
| g_true_only(X0,X1)
| g_true_only(X0,sK6(X0))
| g_true_only(X0,X2) )
| ~ spl23_10
| ~ spl23_20 ),
inference(duplicate_literal_removal,[],[f340]) ).
fof(f340,plain,
( ! [X2,X0,X1] :
( g_false_only(X0,X1)
| g_true_only(X0,X1)
| h_true_only(X0,sK18(X0,X1))
| g_both(X0,sK6(X0))
| g_false_only(X0,X2)
| h_true_only(X0,sK7(X0,X2))
| g_true_only(X0,sK6(X0))
| g_false_only(X0,X2)
| g_true_only(X0,X2) )
| ~ spl23_10
| ~ spl23_20 ),
inference(resolution,[],[f305,f93]) ).
fof(f305,plain,
( ! [X2,X0,X1] :
( ~ g_both(X0,X2)
| g_false_only(X0,X1)
| g_true_only(X0,X1)
| h_true_only(X0,sK18(X0,X1))
| g_both(X0,sK6(X0))
| g_false_only(X0,X2)
| h_true_only(X0,sK7(X0,X2))
| g_true_only(X0,sK6(X0)) )
| ~ spl23_10
| ~ spl23_20 ),
inference(resolution,[],[f303,f154]) ).
fof(f154,plain,
( ! [X3,X0,X5] :
( ~ h_both(X0,X5)
| ~ g_both(X0,X3)
| g_both(X0,sK6(X0))
| g_false_only(X0,X3)
| h_true_only(X0,sK7(X0,X3))
| g_true_only(X0,sK6(X0)) )
| ~ spl23_10 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f438,plain,
( spl23_25
| ~ spl23_39 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f437,plain,
( $false
| spl23_25
| ~ spl23_39 ),
inference(resolution,[],[f393,f214]) ).
fof(f393,plain,
( ! [X0] : g_false_only(sK21,X0)
| ~ spl23_39 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f431,plain,
( spl23_39
| ~ spl23_33
| ~ spl23_35 ),
inference(avatar_split_clause,[],[f430,f337,f320,f392]) ).
fof(f430,plain,
( ! [X1] : g_false_only(sK21,X1)
| ~ spl23_33
| ~ spl23_35 ),
inference(subsumption_resolution,[],[f321,f338]) ).
fof(f399,plain,
( spl23_35
| ~ spl23_13
| ~ spl23_37 ),
inference(avatar_split_clause,[],[f397,f357,f165,f337]) ).
fof(f397,plain,
( ! [X0] : ~ g_true_only(sK21,X0)
| ~ spl23_13
| ~ spl23_37 ),
inference(resolution,[],[f358,f166]) ).
fof(f394,plain,
( spl23_28
| spl23_39
| ~ spl23_13
| ~ spl23_23
| ~ spl23_33 ),
inference(avatar_split_clause,[],[f390,f320,f205,f165,f392,f277]) ).
fof(f390,plain,
( ! [X0] :
( g_false_only(sK21,X0)
| h_both(sK21,sK12(sK21)) )
| ~ spl23_13
| ~ spl23_23
| ~ spl23_33 ),
inference(subsumption_resolution,[],[f387,f206]) ).
fof(f387,plain,
( ! [X0] :
( g_false_only(sK21,X0)
| h_true_only(sK21,sK12(sK21))
| h_both(sK21,sK12(sK21)) )
| ~ spl23_13
| ~ spl23_33 ),
inference(resolution,[],[f321,f224]) ).
fof(f383,plain,
( spl23_28
| ~ spl23_13
| ~ spl23_23
| ~ spl23_36 ),
inference(avatar_split_clause,[],[f382,f353,f205,f165,f277]) ).
fof(f382,plain,
( h_both(sK21,sK12(sK21))
| ~ spl23_13
| ~ spl23_23
| ~ spl23_36 ),
inference(subsumption_resolution,[],[f376,f206]) ).
fof(f376,plain,
( h_true_only(sK21,sK12(sK21))
| h_both(sK21,sK12(sK21))
| ~ spl23_13
| ~ spl23_36 ),
inference(resolution,[],[f355,f224]) ).
fof(f363,plain,
( ~ spl23_35
| ~ spl23_36 ),
inference(avatar_contradiction_clause,[],[f362]) ).
fof(f362,plain,
( $false
| ~ spl23_35
| ~ spl23_36 ),
inference(subsumption_resolution,[],[f355,f338]) ).
fof(f361,plain,
( spl23_36
| spl23_33
| spl23_33
| spl23_37
| ~ spl23_8
| ~ spl23_20
| ~ spl23_23 ),
inference(avatar_split_clause,[],[f360,f205,f193,f145,f357,f320,f320,f353]) ).
fof(f360,plain,
( ! [X2,X0,X1] :
( h_false_only(sK21,X1)
| g_true_only(sK21,X0)
| g_false_only(sK21,X2)
| g_false_only(sK21,X0)
| g_true_only(sK21,sK6(sK21))
| g_true_only(sK21,X2) )
| ~ spl23_8
| ~ spl23_20
| ~ spl23_23 ),
inference(subsumption_resolution,[],[f350,f206]) ).
fof(f350,plain,
( ! [X2,X0,X1] :
( h_true_only(sK21,sK18(sK21,X0))
| h_false_only(sK21,X1)
| g_true_only(sK21,X0)
| g_false_only(sK21,X2)
| g_false_only(sK21,X0)
| g_true_only(sK21,sK6(sK21))
| g_true_only(sK21,X2) )
| ~ spl23_8
| ~ spl23_20
| ~ spl23_23 ),
inference(resolution,[],[f330,f206]) ).
fof(f280,plain,
( spl23_27
| spl23_28
| ~ spl23_12
| ~ spl23_13
| ~ spl23_23
| spl23_25 ),
inference(avatar_split_clause,[],[f271,f212,f205,f165,f161,f277,f273]) ).
fof(f271,plain,
( h_both(sK21,sK12(sK21))
| h_both(sK21,sK10(sK21))
| ~ spl23_12
| ~ spl23_13
| ~ spl23_23
| spl23_25 ),
inference(subsumption_resolution,[],[f270,f206]) ).
fof(f270,plain,
( h_both(sK21,sK12(sK21))
| h_both(sK21,sK10(sK21))
| h_true_only(sK21,sK10(sK21))
| ~ spl23_12
| ~ spl23_13
| ~ spl23_23
| spl23_25 ),
inference(subsumption_resolution,[],[f263,f206]) ).
fof(f263,plain,
( h_both(sK21,sK12(sK21))
| h_both(sK21,sK10(sK21))
| h_true_only(sK21,sK12(sK21))
| h_true_only(sK21,sK10(sK21))
| ~ spl23_12
| ~ spl23_13
| spl23_25 ),
inference(resolution,[],[f254,f214]) ).
fof(f254,plain,
( ! [X0,X1] :
( g_false_only(X0,X1)
| h_both(X0,sK12(X0))
| h_both(X0,sK10(X0))
| h_true_only(X0,sK12(X0))
| h_true_only(X0,sK10(X0)) )
| ~ spl23_12
| ~ spl23_13 ),
inference(subsumption_resolution,[],[f250,f224]) ).
fof(f250,plain,
( ! [X0,X1] :
( h_both(X0,sK10(X0))
| h_true_only(X0,sK10(X0))
| g_false_only(X0,X1)
| g_true_only(X0,sK11(X0))
| h_true_only(X0,sK12(X0))
| h_both(X0,sK12(X0)) )
| ~ spl23_12
| ~ spl23_13 ),
inference(resolution,[],[f244,f224]) ).
fof(f244,plain,
( ! [X0,X1] :
( h_both(X0,sK10(X0))
| g_true_only(X0,X1)
| h_true_only(X0,sK10(X0))
| g_false_only(X0,X1)
| g_true_only(X0,sK11(X0)) )
| ~ spl23_12 ),
inference(resolution,[],[f237,f93]) ).
fof(f237,plain,
( ! [X0,X1] :
( ~ g_both(X0,X1)
| g_true_only(X0,sK11(X0))
| h_both(X0,sK10(X0))
| h_true_only(X0,sK10(X0)) )
| ~ spl23_12 ),
inference(resolution,[],[f162,f92]) ).
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/benchmark/theBenchmark.p',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(f155,plain,
( ~ spl23_6
| spl23_10 ),
inference(avatar_split_clause,[],[f72,f153,f137]) ).
fof(f72,plain,
! [X3,X0,X5] :
( g_both(X0,sK6(X0))
| 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(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(f143,plain,
( ~ spl23_6
| spl23_7 ),
inference(avatar_split_clause,[],[f112,f141,f137]) ).
fof(f112,plain,
! [X2,X3,X0,X5] :
( h_false_only(X0,X2)
| h_both(X0,X2)
| h_true_only(X0,sK7(X0,X3))
| g_false_only(X0,X3)
| ~ h_both(X0,X5)
| ~ g_both(X0,X3)
| ~ sP2 ),
inference(duplicate_literal_removal,[],[f75]) ).
fof(f75,plain,
! [X2,X3,X0,X5] :
( h_false_only(X0,X2)
| h_false_only(X0,X2)
| h_both(X0,X2)
| 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(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
% 0.03/0.13 % Problem : SYO606+1 : TPTP v8.1.2. Released v7.0.0.
% 0.15/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n021.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 : Fri May 3 15:49:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.36 % (9778)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (9781)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % (9782)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (9786)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (9783)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.22/0.38 % (9785)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (9787)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % (9784)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [1,1,1]
% 0.22/0.39 TRYING [1,1,1]
% 0.22/0.39 TRYING [2,1,1]
% 0.22/0.39 TRYING [2,1,1]
% 0.22/0.39 TRYING [3,1,1]
% 0.22/0.39 TRYING [3,1,1]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [2,2,1]
% 0.22/0.39 TRYING [2,2,1]
% 0.22/0.39 TRYING [2,1,2]
% 0.22/0.39 TRYING [2,1,2]
% 0.22/0.39 TRYING [3,2,1]
% 0.22/0.40 TRYING [3,2,1]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [2,2,2]
% 0.22/0.40 TRYING [2,2,2]
% 0.22/0.40 TRYING [3,1,2]
% 0.22/0.41 TRYING [3,1,2]
% 0.22/0.41 TRYING [4,1,1]
% 0.22/0.41 TRYING [4,1,1]
% 0.22/0.41 TRYING [4,2,1]
% 0.22/0.42 TRYING [3,2,2]
% 0.22/0.42 TRYING [5]
% 0.22/0.42 TRYING [5]
% 0.22/0.42 TRYING [4,1,2]
% 0.22/0.43 TRYING [4,2,1]
% 0.22/0.43 TRYING [3,2,2]
% 0.22/0.43 TRYING [4,1,2]
% 0.22/0.44 TRYING [3,3,1]
% 0.22/0.44 TRYING [3,3,1]
% 0.22/0.45 TRYING [3,1,3]
% 0.22/0.45 TRYING [3,1,3]
% 0.22/0.45 TRYING [6]
% 0.22/0.45 TRYING [6]
% 0.22/0.45 % (9786)First to succeed.
% 0.22/0.45 TRYING [4,3,1]
% 0.22/0.45 TRYING [4,3,1]
% 0.22/0.46 TRYING [3,3,2]
% 0.22/0.46 TRYING [4,2,2]
% 0.22/0.46 % (9786)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9778"
% 0.22/0.46 % (9786)Refutation found. Thanks to Tanya!
% 0.22/0.46 % SZS status Theorem for theBenchmark
% 0.22/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.47 % (9786)------------------------------
% 0.22/0.47 % (9786)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.47 % (9786)Termination reason: Refutation
% 0.22/0.47
% 0.22/0.47 % (9786)Memory used [KB]: 1881
% 0.22/0.47 % (9786)Time elapsed: 0.085 s
% 0.22/0.47 % (9786)Instructions burned: 146 (million)
% 0.22/0.47 % (9778)Success in time 0.101 s
%------------------------------------------------------------------------------