TSTP Solution File: SYO606+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYO606+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n002.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 : Wed Aug 31 19:51:45 EDT 2022
% Result : Theorem 2.30s 0.66s
% Output : Refutation 2.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 86
% Syntax : Number of formulae : 531 ( 1 unt; 0 def)
% Number of atoms : 2454 ( 0 equ)
% Maximal formula atoms : 41 ( 4 avg)
% Number of connectives : 3158 (1235 ~;1636 |; 203 &)
% ( 67 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 72 ( 71 usr; 61 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 797 ( 623 !; 174 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1988,plain,
$false,
inference(avatar_sat_refutation,[],[f127,f135,f154,f158,f167,f175,f179,f184,f189,f193,f201,f205,f209,f210,f218,f222,f223,f227,f251,f284,f302,f321,f352,f357,f358,f359,f364,f388,f408,f448,f450,f529,f572,f597,f601,f613,f628,f632,f671,f673,f708,f710,f718,f720,f756,f761,f810,f820,f823,f864,f879,f885,f943,f955,f960,f999,f1028,f1030,f1036,f1094,f1097,f1101,f1116,f1195,f1219,f1259,f1273,f1280,f1361,f1431,f1446,f1599,f1607,f1618,f1699,f1731,f1803,f1846,f1865,f1875,f1889,f1893,f1897,f1915,f1916,f1921,f1962,f1967,f1968,f1972,f1987]) ).
fof(f1987,plain,
( spl23_59
| spl23_55
| ~ spl23_1
| ~ spl23_14
| ~ spl23_18
| ~ spl23_20
| ~ spl23_26
| ~ spl23_114 ),
inference(avatar_split_clause,[],[f1986,f1838,f225,f199,f191,f173,f121,f542,f591]) ).
fof(f591,plain,
( spl23_59
<=> ! [X0] : g_false_only(sK21,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_59])]) ).
fof(f542,plain,
( spl23_55
<=> ! [X0] :
( g_false_only(sK21,X0)
| g_true_only(sK21,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_55])]) ).
fof(f121,plain,
( spl23_1
<=> ! [X16] : ~ h_true_only(sK21,X16) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
fof(f173,plain,
( spl23_14
<=> ! [X9,X10] :
( ~ h_false_only(X10,sK18(X9,X10))
| ~ g_both(X10,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_14])]) ).
fof(f191,plain,
( spl23_18
<=> ! [X9,X10] :
( ~ h_both(X10,sK18(X9,X10))
| ~ g_true_only(X10,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_18])]) ).
fof(f199,plain,
( spl23_20
<=> ! [X9,X10] :
( ~ g_true_only(X10,X9)
| ~ h_false_only(X10,sK18(X9,X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_20])]) ).
fof(f225,plain,
( spl23_26
<=> ! [X3,X0,X5,X2] :
( h_false_only(X0,X2)
| h_both(X0,X2)
| h_true_only(X0,sK5(X0,X3))
| ~ g_both(X0,X3)
| ~ h_both(X0,X5)
| g_false_only(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_26])]) ).
fof(f1838,plain,
( spl23_114
<=> g_true_only(sK21,sK4(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_114])]) ).
fof(f1986,plain,
( ! [X0,X1] :
( g_false_only(sK21,X1)
| g_true_only(sK21,X1)
| g_false_only(sK21,X0) )
| ~ spl23_1
| ~ spl23_14
| ~ spl23_18
| ~ spl23_20
| ~ spl23_26
| ~ spl23_114 ),
inference(subsumption_resolution,[],[f1985,f122]) ).
fof(f122,plain,
( ! [X16] : ~ h_true_only(sK21,X16)
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f1985,plain,
( ! [X0,X1] :
( g_false_only(sK21,X0)
| g_true_only(sK21,X1)
| h_true_only(sK21,sK18(X0,sK21))
| g_false_only(sK21,X1) )
| ~ spl23_1
| ~ spl23_14
| ~ spl23_18
| ~ spl23_20
| ~ spl23_26
| ~ spl23_114 ),
inference(subsumption_resolution,[],[f1984,f122]) ).
fof(f1984,plain,
( ! [X0,X1] :
( h_true_only(sK21,sK5(sK21,X1))
| g_false_only(sK21,X1)
| g_true_only(sK21,X1)
| h_true_only(sK21,sK18(X0,sK21))
| g_false_only(sK21,X0) )
| ~ spl23_14
| ~ spl23_18
| ~ spl23_20
| ~ spl23_26
| ~ spl23_114 ),
inference(resolution,[],[f1794,f1840]) ).
fof(f1840,plain,
( g_true_only(sK21,sK4(sK21))
| ~ spl23_114 ),
inference(avatar_component_clause,[],[f1838]) ).
fof(f1794,plain,
( ! [X14,X15,X12,X13] :
( ~ g_true_only(X12,X15)
| g_false_only(X12,X13)
| h_true_only(X12,sK18(X13,X12))
| g_true_only(X12,X14)
| g_false_only(X12,X14)
| h_true_only(X12,sK5(X12,X14)) )
| ~ spl23_14
| ~ spl23_18
| ~ spl23_20
| ~ spl23_26 ),
inference(subsumption_resolution,[],[f1791,f192]) ).
fof(f192,plain,
( ! [X10,X9] :
( ~ h_both(X10,sK18(X9,X10))
| ~ g_true_only(X10,X9) )
| ~ spl23_18 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f1791,plain,
( ! [X14,X15,X12,X13] :
( h_true_only(X12,sK5(X12,X14))
| ~ g_true_only(X12,X15)
| h_both(X12,sK18(X15,X12))
| g_false_only(X12,X14)
| h_true_only(X12,sK18(X13,X12))
| g_true_only(X12,X14)
| g_false_only(X12,X13) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_26 ),
inference(resolution,[],[f1518,f200]) ).
fof(f200,plain,
( ! [X10,X9] :
( ~ h_false_only(X10,sK18(X9,X10))
| ~ g_true_only(X10,X9) )
| ~ spl23_20 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f1518,plain,
( ! [X18,X19,X17,X20] :
( h_true_only(X17,sK18(X18,X17))
| h_true_only(X17,sK5(X17,X19))
| h_false_only(X17,X20)
| h_both(X17,X20)
| g_false_only(X17,X19)
| g_false_only(X17,X18)
| g_true_only(X17,X19) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_26 ),
inference(resolution,[],[f1491,f906]) ).
fof(f906,plain,
( ! [X2,X3,X0,X1] :
( ~ h_both(X0,X1)
| h_true_only(X0,sK5(X0,X3))
| g_true_only(X0,X3)
| h_false_only(X0,X2)
| h_both(X0,X2)
| g_false_only(X0,X3) )
| ~ spl23_26 ),
inference(duplicate_literal_removal,[],[f905]) ).
fof(f905,plain,
( ! [X2,X3,X0,X1] :
( g_false_only(X0,X3)
| ~ h_both(X0,X1)
| g_false_only(X0,X3)
| h_false_only(X0,X2)
| g_true_only(X0,X3)
| h_both(X0,X2)
| h_true_only(X0,sK5(X0,X3)) )
| ~ spl23_26 ),
inference(resolution,[],[f226,f81]) ).
fof(f81,plain,
! [X0,X1] :
( g_both(X0,X1)
| g_false_only(X0,X1)
| g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,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_true_only(X3,X4)
| g_both(X3,X4)
| g_false_only(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_g) ).
fof(f226,plain,
( ! [X2,X3,X0,X5] :
( ~ g_both(X0,X3)
| ~ h_both(X0,X5)
| h_false_only(X0,X2)
| h_both(X0,X2)
| g_false_only(X0,X3)
| h_true_only(X0,sK5(X0,X3)) )
| ~ spl23_26 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f1491,plain,
( ! [X0,X1] :
( h_both(X0,sK18(X1,X0))
| g_false_only(X0,X1)
| h_true_only(X0,sK18(X1,X0)) )
| ~ spl23_14
| ~ spl23_20 ),
inference(subsumption_resolution,[],[f1489,f679]) ).
fof(f679,plain,
( ! [X0,X1] :
( ~ g_true_only(X0,X1)
| h_both(X0,sK18(X1,X0))
| h_true_only(X0,sK18(X1,X0)) )
| ~ spl23_20 ),
inference(resolution,[],[f200,f80]) ).
fof(f80,plain,
! [X0,X1] :
( h_false_only(X0,X1)
| h_both(X0,X1)
| h_true_only(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( h_both(X0,X1)
| h_true_only(X0,X1)
| h_false_only(X0,X1) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
! [X1,X0] :
( h_both(X1,X0)
| h_true_only(X1,X0)
| h_false_only(X1,X0) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X4,X3] :
( h_true_only(X3,X4)
| h_false_only(X3,X4)
| h_both(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_h) ).
fof(f1489,plain,
( ! [X0,X1] :
( g_false_only(X0,X1)
| g_true_only(X0,X1)
| h_true_only(X0,sK18(X1,X0))
| h_both(X0,sK18(X1,X0)) )
| ~ spl23_14 ),
inference(resolution,[],[f1482,f81]) ).
fof(f1482,plain,
( ! [X0,X1] :
( ~ g_both(X0,X1)
| h_both(X0,sK18(X1,X0))
| h_true_only(X0,sK18(X1,X0)) )
| ~ spl23_14 ),
inference(resolution,[],[f174,f80]) ).
fof(f174,plain,
( ! [X10,X9] :
( ~ h_false_only(X10,sK18(X9,X10))
| ~ g_both(X10,X9) )
| ~ spl23_14 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f1972,plain,
( ~ spl23_29
| spl23_108 ),
inference(avatar_contradiction_clause,[],[f1969]) ).
fof(f1969,plain,
( $false
| ~ spl23_29
| spl23_108 ),
inference(resolution,[],[f283,f1621]) ).
fof(f1621,plain,
( ~ g_false_only(sK19,sK4(sK19))
| spl23_108 ),
inference(avatar_component_clause,[],[f1620]) ).
fof(f1620,plain,
( spl23_108
<=> g_false_only(sK19,sK4(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_108])]) ).
fof(f283,plain,
( ! [X1] : g_false_only(sK19,X1)
| ~ spl23_29 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f282,plain,
( spl23_29
<=> ! [X1] : g_false_only(sK19,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_29])]) ).
fof(f1968,plain,
( spl23_55
| ~ spl23_98 ),
inference(avatar_split_clause,[],[f1878,f1435,f542]) ).
fof(f1435,plain,
( spl23_98
<=> ! [X0] : ~ g_both(sK21,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_98])]) ).
fof(f1878,plain,
( ! [X0] :
( g_true_only(sK21,X0)
| g_false_only(sK21,X0) )
| ~ spl23_98 ),
inference(resolution,[],[f1436,f81]) ).
fof(f1436,plain,
( ! [X0] : ~ g_both(sK21,X0)
| ~ spl23_98 ),
inference(avatar_component_clause,[],[f1435]) ).
fof(f1967,plain,
( spl23_29
| spl23_28
| spl23_89
| ~ spl23_14
| ~ spl23_20
| ~ spl23_21
| ~ spl23_26 ),
inference(avatar_split_clause,[],[f1966,f225,f203,f199,f173,f1186,f279,f282]) ).
fof(f279,plain,
( spl23_28
<=> ! [X0] :
( g_true_only(sK19,X0)
| g_false_only(sK19,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_28])]) ).
fof(f1186,plain,
( spl23_89
<=> ! [X1] :
( h_both(sK19,X1)
| h_false_only(sK19,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_89])]) ).
fof(f203,plain,
( spl23_21
<=> ! [X14] : ~ h_true_only(sK19,X14) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_21])]) ).
fof(f1966,plain,
( ! [X16,X14,X15] :
( h_false_only(sK19,X15)
| g_false_only(sK19,X16)
| g_true_only(sK19,X16)
| g_false_only(sK19,X14)
| h_both(sK19,X15) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_21
| ~ spl23_26 ),
inference(subsumption_resolution,[],[f1888,f204]) ).
fof(f204,plain,
( ! [X14] : ~ h_true_only(sK19,X14)
| ~ spl23_21 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f1888,plain,
( ! [X16,X14,X15] :
( h_both(sK19,X15)
| h_true_only(sK19,sK18(X14,sK19))
| h_false_only(sK19,X15)
| g_false_only(sK19,X16)
| g_false_only(sK19,X14)
| g_true_only(sK19,X16) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_21
| ~ spl23_26 ),
inference(resolution,[],[f204,f1518]) ).
fof(f1962,plain,
( spl23_104
| ~ spl23_18
| ~ spl23_20
| ~ spl23_89 ),
inference(avatar_split_clause,[],[f1961,f1186,f199,f191,f1601]) ).
fof(f1601,plain,
( spl23_104
<=> ! [X4] : ~ g_true_only(sK19,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_104])]) ).
fof(f1961,plain,
( ! [X3] : ~ g_true_only(sK19,X3)
| ~ spl23_18
| ~ spl23_20
| ~ spl23_89 ),
inference(subsumption_resolution,[],[f1960,f192]) ).
fof(f1960,plain,
( ! [X3] :
( h_both(sK19,sK18(X3,sK19))
| ~ g_true_only(sK19,X3) )
| ~ spl23_20
| ~ spl23_89 ),
inference(resolution,[],[f1187,f200]) ).
fof(f1187,plain,
( ! [X1] :
( h_false_only(sK19,X1)
| h_both(sK19,X1) )
| ~ spl23_89 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1921,plain,
( spl23_66
| spl23_29
| spl23_28
| ~ spl23_14
| ~ spl23_20
| ~ spl23_21
| ~ spl23_24
| spl23_106 ),
inference(avatar_split_clause,[],[f1920,f1611,f216,f203,f199,f173,f279,f282,f893]) ).
fof(f893,plain,
( spl23_66
<=> ! [X0] : h_false_only(sK19,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_66])]) ).
fof(f216,plain,
( spl23_24
<=> ! [X3,X0,X5,X2] :
( g_true_only(X0,sK4(X0))
| ~ g_both(X0,X3)
| h_true_only(X0,sK5(X0,X3))
| ~ h_both(X0,X5)
| h_false_only(X0,X2)
| g_false_only(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_24])]) ).
fof(f1611,plain,
( spl23_106
<=> g_true_only(sK19,sK4(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_106])]) ).
fof(f1920,plain,
( ! [X3,X4,X5] :
( g_false_only(sK19,X4)
| g_false_only(sK19,X5)
| g_true_only(sK19,X4)
| h_false_only(sK19,X3) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_21
| ~ spl23_24
| spl23_106 ),
inference(subsumption_resolution,[],[f1919,f204]) ).
fof(f1919,plain,
( ! [X3,X4,X5] :
( g_false_only(sK19,X5)
| h_false_only(sK19,X3)
| g_false_only(sK19,X4)
| h_true_only(sK19,sK5(sK19,X4))
| g_true_only(sK19,X4) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_21
| ~ spl23_24
| spl23_106 ),
inference(subsumption_resolution,[],[f1884,f1612]) ).
fof(f1612,plain,
( ~ g_true_only(sK19,sK4(sK19))
| spl23_106 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f1884,plain,
( ! [X3,X4,X5] :
( h_true_only(sK19,sK5(sK19,X4))
| g_true_only(sK19,X4)
| h_false_only(sK19,X3)
| g_true_only(sK19,sK4(sK19))
| g_false_only(sK19,X4)
| g_false_only(sK19,X5) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_21
| ~ spl23_24 ),
inference(resolution,[],[f204,f1664]) ).
fof(f1664,plain,
( ! [X2,X3,X0,X1] :
( h_true_only(X0,sK18(X1,X0))
| h_false_only(X0,X3)
| h_true_only(X0,sK5(X0,X2))
| g_true_only(X0,sK4(X0))
| g_true_only(X0,X2)
| g_false_only(X0,X1)
| g_false_only(X0,X2) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_24 ),
inference(duplicate_literal_removal,[],[f1661]) ).
fof(f1661,plain,
( ! [X2,X3,X0,X1] :
( g_false_only(X0,X1)
| g_true_only(X0,X2)
| g_false_only(X0,X2)
| h_true_only(X0,sK18(X1,X0))
| g_true_only(X0,sK4(X0))
| h_true_only(X0,sK5(X0,X2))
| g_false_only(X0,X2)
| h_false_only(X0,X3) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_24 ),
inference(resolution,[],[f1516,f81]) ).
fof(f1516,plain,
( ! [X10,X11,X12,X13] :
( ~ g_both(X10,X13)
| h_true_only(X10,sK18(X11,X10))
| g_false_only(X10,X11)
| g_true_only(X10,sK4(X10))
| g_false_only(X10,X13)
| h_true_only(X10,sK5(X10,X13))
| h_false_only(X10,X12) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_24 ),
inference(resolution,[],[f1491,f217]) ).
fof(f217,plain,
( ! [X2,X3,X0,X5] :
( ~ h_both(X0,X5)
| h_false_only(X0,X2)
| g_false_only(X0,X3)
| g_true_only(X0,sK4(X0))
| ~ g_both(X0,X3)
| h_true_only(X0,sK5(X0,X3)) )
| ~ spl23_24 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f1916,plain,
( spl23_29
| ~ spl23_14
| ~ spl23_20
| ~ spl23_66 ),
inference(avatar_split_clause,[],[f1914,f893,f199,f173,f282]) ).
fof(f1914,plain,
( ! [X1] : g_false_only(sK19,X1)
| ~ spl23_14
| ~ spl23_20
| ~ spl23_66 ),
inference(resolution,[],[f1908,f1520]) ).
fof(f1520,plain,
( ! [X4,X5] :
( h_true(X4,sK18(X5,X4))
| g_false_only(X4,X5) )
| ~ spl23_14
| ~ spl23_20 ),
inference(subsumption_resolution,[],[f1514,f75]) ).
fof(f75,plain,
! [X0,X1] :
( ~ h_true_only(X0,X1)
| h_true(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( h_true_only(X0,X1)
| ~ h_true(X0,X1)
| h_false(X0,X1) )
& ( ( h_true(X0,X1)
& ~ h_false(X0,X1) )
| ~ h_true_only(X0,X1) ) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( ( h_true_only(X1,X0)
| ~ h_true(X1,X0)
| h_false(X1,X0) )
& ( ( h_true(X1,X0)
& ~ h_false(X1,X0) )
| ~ h_true_only(X1,X0) ) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X1,X0] :
( ( h_true_only(X1,X0)
| ~ h_true(X1,X0)
| h_false(X1,X0) )
& ( ( h_true(X1,X0)
& ~ h_false(X1,X0) )
| ~ h_true_only(X1,X0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X1,X0] :
( h_true_only(X1,X0)
<=> ( h_true(X1,X0)
& ~ h_false(X1,X0) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X4,X3] :
( h_true_only(X3,X4)
<=> ( h_true(X3,X4)
& ~ h_false(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_only_h) ).
fof(f1514,plain,
( ! [X4,X5] :
( h_true_only(X4,sK18(X5,X4))
| h_true(X4,sK18(X5,X4))
| g_false_only(X4,X5) )
| ~ spl23_14
| ~ spl23_20 ),
inference(resolution,[],[f1491,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ h_both(X1,X0)
| h_true(X1,X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ( ( h_true(X1,X0)
& h_false(X1,X0) )
| ~ h_both(X1,X0) )
& ( h_both(X1,X0)
| ~ h_true(X1,X0)
| ~ h_false(X1,X0) ) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ( ( h_true(X1,X0)
& h_false(X1,X0) )
| ~ h_both(X1,X0) )
& ( h_both(X1,X0)
| ~ h_true(X1,X0)
| ~ h_false(X1,X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ( h_true(X1,X0)
& h_false(X1,X0) )
<=> h_both(X1,X0) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X4,X3] :
( h_both(X3,X4)
<=> ( h_false(X3,X4)
& h_true(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both_h) ).
fof(f1908,plain,
( ! [X0] : ~ h_true(sK19,X0)
| ~ spl23_66 ),
inference(resolution,[],[f894,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ h_false_only(X1,X0)
| ~ h_true(X1,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ( h_false_only(X1,X0)
| h_true(X1,X0)
| ~ h_false(X1,X0) )
& ( ( ~ h_true(X1,X0)
& h_false(X1,X0) )
| ~ h_false_only(X1,X0) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( h_false_only(X1,X0)
| h_true(X1,X0)
| ~ h_false(X1,X0) )
& ( ( ~ h_true(X1,X0)
& h_false(X1,X0) )
| ~ h_false_only(X1,X0) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( h_false_only(X1,X0)
<=> ( ~ h_true(X1,X0)
& h_false(X1,X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X4,X3] :
( h_false_only(X3,X4)
<=> ( ~ h_true(X3,X4)
& h_false(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_only_h) ).
fof(f894,plain,
( ! [X0] : h_false_only(sK19,X0)
| ~ spl23_66 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f1915,plain,
( ~ spl23_52
| ~ spl23_66 ),
inference(avatar_contradiction_clause,[],[f1912]) ).
fof(f1912,plain,
( $false
| ~ spl23_52
| ~ spl23_66 ),
inference(resolution,[],[f1908,f1405]) ).
fof(f1405,plain,
( h_true(sK19,sK11(sK19))
| ~ spl23_52 ),
inference(resolution,[],[f528,f108]) ).
fof(f528,plain,
( h_both(sK19,sK11(sK19))
| ~ spl23_52 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f526,plain,
( spl23_52
<=> h_both(sK19,sK11(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_52])]) ).
fof(f1897,plain,
( spl23_29
| spl23_66
| spl23_29
| ~ spl23_14
| ~ spl23_20
| ~ spl23_21
| ~ spl23_24
| ~ spl23_104 ),
inference(avatar_split_clause,[],[f1896,f1601,f216,f203,f199,f173,f282,f893,f282]) ).
fof(f1896,plain,
( ! [X11,X12,X13] :
( g_false_only(sK19,X11)
| h_false_only(sK19,X12)
| g_false_only(sK19,X13) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_21
| ~ spl23_24
| ~ spl23_104 ),
inference(subsumption_resolution,[],[f1895,f1602]) ).
fof(f1602,plain,
( ! [X4] : ~ g_true_only(sK19,X4)
| ~ spl23_104 ),
inference(avatar_component_clause,[],[f1601]) ).
fof(f1895,plain,
( ! [X11,X12,X13] :
( g_false_only(sK19,X11)
| g_true_only(sK19,sK4(sK19))
| g_false_only(sK19,X13)
| h_false_only(sK19,X12) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_21
| ~ spl23_24
| ~ spl23_104 ),
inference(subsumption_resolution,[],[f1894,f204]) ).
fof(f1894,plain,
( ! [X11,X12,X13] :
( h_false_only(sK19,X12)
| h_true_only(sK19,sK18(X11,sK19))
| g_false_only(sK19,X11)
| g_true_only(sK19,sK4(sK19))
| g_false_only(sK19,X13) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_21
| ~ spl23_24
| ~ spl23_104 ),
inference(subsumption_resolution,[],[f1887,f1602]) ).
fof(f1887,plain,
( ! [X11,X12,X13] :
( g_true_only(sK19,X13)
| h_false_only(sK19,X12)
| g_false_only(sK19,X13)
| g_false_only(sK19,X11)
| h_true_only(sK19,sK18(X11,sK19))
| g_true_only(sK19,sK4(sK19)) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_21
| ~ spl23_24 ),
inference(resolution,[],[f204,f1664]) ).
fof(f1893,plain,
( spl23_29
| ~ spl23_14
| ~ spl23_20
| ~ spl23_21
| ~ spl23_25
| ~ spl23_106 ),
inference(avatar_split_clause,[],[f1892,f1611,f220,f203,f199,f173,f282]) ).
fof(f220,plain,
( spl23_25
<=> ! [X4,X0,X1] :
( ~ h_both(X0,X1)
| h_true_only(X0,sK10(X0))
| ~ g_true_only(X0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_25])]) ).
fof(f1892,plain,
( ! [X0] : g_false_only(sK19,X0)
| ~ spl23_14
| ~ spl23_20
| ~ spl23_21
| ~ spl23_25
| ~ spl23_106 ),
inference(subsumption_resolution,[],[f1891,f204]) ).
fof(f1891,plain,
( ! [X0] :
( h_true_only(sK19,sK10(sK19))
| g_false_only(sK19,X0) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_21
| ~ spl23_25
| ~ spl23_106 ),
inference(subsumption_resolution,[],[f1815,f204]) ).
fof(f1815,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| h_true_only(sK19,sK18(X0,sK19))
| h_true_only(sK19,sK10(sK19)) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_25
| ~ spl23_106 ),
inference(resolution,[],[f1613,f1517]) ).
fof(f1517,plain,
( ! [X16,X14,X15] :
( ~ g_true_only(X14,X16)
| h_true_only(X14,sK18(X15,X14))
| h_true_only(X14,sK10(X14))
| g_false_only(X14,X15) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_25 ),
inference(resolution,[],[f1491,f221]) ).
fof(f221,plain,
( ! [X0,X1,X4] :
( ~ h_both(X0,X1)
| ~ g_true_only(X0,X4)
| h_true_only(X0,sK10(X0)) )
| ~ spl23_25 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f1613,plain,
( g_true_only(sK19,sK4(sK19))
| ~ spl23_106 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f1889,plain,
( ~ spl23_21
| ~ spl23_105 ),
inference(avatar_contradiction_clause,[],[f1881]) ).
fof(f1881,plain,
( $false
| ~ spl23_21
| ~ spl23_105 ),
inference(resolution,[],[f204,f1606]) ).
fof(f1606,plain,
( h_true_only(sK19,sK10(sK19))
| ~ spl23_105 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f1604,plain,
( spl23_105
<=> h_true_only(sK19,sK10(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_105])]) ).
fof(f1875,plain,
( spl23_98
| ~ spl23_14
| ~ spl23_71 ),
inference(avatar_split_clause,[],[f1873,f937,f173,f1435]) ).
fof(f937,plain,
( spl23_71
<=> ! [X7] : h_false_only(sK21,X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_71])]) ).
fof(f1873,plain,
( ! [X2] : ~ g_both(sK21,X2)
| ~ spl23_14
| ~ spl23_71 ),
inference(resolution,[],[f938,f174]) ).
fof(f938,plain,
( ! [X7] : h_false_only(sK21,X7)
| ~ spl23_71 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f1865,plain,
( spl23_59
| ~ spl23_1
| ~ spl23_14
| ~ spl23_20
| ~ spl23_25
| ~ spl23_114 ),
inference(avatar_split_clause,[],[f1864,f1838,f220,f199,f173,f121,f591]) ).
fof(f1864,plain,
( ! [X0] : g_false_only(sK21,X0)
| ~ spl23_1
| ~ spl23_14
| ~ spl23_20
| ~ spl23_25
| ~ spl23_114 ),
inference(subsumption_resolution,[],[f1863,f122]) ).
fof(f1863,plain,
( ! [X0] :
( h_true_only(sK21,sK10(sK21))
| g_false_only(sK21,X0) )
| ~ spl23_1
| ~ spl23_14
| ~ spl23_20
| ~ spl23_25
| ~ spl23_114 ),
inference(subsumption_resolution,[],[f1857,f122]) ).
fof(f1857,plain,
( ! [X0] :
( h_true_only(sK21,sK18(X0,sK21))
| h_true_only(sK21,sK10(sK21))
| g_false_only(sK21,X0) )
| ~ spl23_14
| ~ spl23_20
| ~ spl23_25
| ~ spl23_114 ),
inference(resolution,[],[f1840,f1517]) ).
fof(f1846,plain,
( spl23_71
| spl23_55
| spl23_114
| spl23_59
| ~ spl23_1
| ~ spl23_14
| ~ spl23_20
| ~ spl23_24 ),
inference(avatar_split_clause,[],[f1845,f216,f199,f173,f121,f591,f1838,f542,f937]) ).
fof(f1845,plain,
( ! [X16,X14,X15] :
( g_false_only(sK21,X16)
| g_true_only(sK21,sK4(sK21))
| g_false_only(sK21,X15)
| g_true_only(sK21,X15)
| h_false_only(sK21,X14) )
| ~ spl23_1
| ~ spl23_14
| ~ spl23_20
| ~ spl23_24 ),
inference(subsumption_resolution,[],[f1827,f122]) ).
fof(f1827,plain,
( ! [X16,X14,X15] :
( g_false_only(sK21,X16)
| g_true_only(sK21,sK4(sK21))
| g_true_only(sK21,X15)
| g_false_only(sK21,X15)
| h_false_only(sK21,X14)
| h_true_only(sK21,sK5(sK21,X15)) )
| ~ spl23_1
| ~ spl23_14
| ~ spl23_20
| ~ spl23_24 ),
inference(resolution,[],[f1664,f122]) ).
fof(f1803,plain,
( spl23_28
| ~ spl23_88 ),
inference(avatar_split_clause,[],[f1802,f1183,f279]) ).
fof(f1183,plain,
( spl23_88
<=> ! [X0] :
( ~ g_both(sK19,X0)
| g_false_only(sK19,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_88])]) ).
fof(f1802,plain,
( ! [X0] :
( g_true_only(sK19,X0)
| g_false_only(sK19,X0) )
| ~ spl23_88 ),
inference(duplicate_literal_removal,[],[f1801]) ).
fof(f1801,plain,
( ! [X0] :
( g_true_only(sK19,X0)
| g_false_only(sK19,X0)
| g_false_only(sK19,X0) )
| ~ spl23_88 ),
inference(resolution,[],[f1184,f81]) ).
fof(f1184,plain,
( ! [X0] :
( ~ g_both(sK19,X0)
| g_false_only(sK19,X0) )
| ~ spl23_88 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1731,plain,
( ~ spl23_106
| ~ spl23_108 ),
inference(avatar_contradiction_clause,[],[f1730]) ).
fof(f1730,plain,
( $false
| ~ spl23_106
| ~ spl23_108 ),
inference(subsumption_resolution,[],[f1726,f1638]) ).
fof(f1638,plain,
( g_true(sK19,sK4(sK19))
| ~ spl23_106 ),
inference(resolution,[],[f1613,f116]) ).
fof(f116,plain,
! [X0,X1] :
( ~ g_true_only(X0,X1)
| g_true(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ( g_true_only(X0,X1)
| ~ g_true(X0,X1)
| g_false(X0,X1) )
& ( ( g_true(X0,X1)
& ~ g_false(X0,X1) )
| ~ g_true_only(X0,X1) ) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X1,X0] :
( ( g_true_only(X1,X0)
| ~ g_true(X1,X0)
| g_false(X1,X0) )
& ( ( g_true(X1,X0)
& ~ g_false(X1,X0) )
| ~ g_true_only(X1,X0) ) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X1,X0] :
( ( g_true_only(X1,X0)
| ~ g_true(X1,X0)
| g_false(X1,X0) )
& ( ( g_true(X1,X0)
& ~ g_false(X1,X0) )
| ~ g_true_only(X1,X0) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( g_true_only(X1,X0)
<=> ( g_true(X1,X0)
& ~ g_false(X1,X0) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X4,X3] :
( g_true_only(X3,X4)
<=> ( ~ g_false(X3,X4)
& g_true(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_only_g) ).
fof(f1726,plain,
( ~ g_true(sK19,sK4(sK19))
| ~ spl23_108 ),
inference(resolution,[],[f1622,f110]) ).
fof(f110,plain,
! [X0,X1] :
( ~ g_false_only(X0,X1)
| ~ g_true(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( g_false_only(X0,X1)
| g_true(X0,X1)
| ~ g_false(X0,X1) )
& ( ( ~ g_true(X0,X1)
& g_false(X0,X1) )
| ~ g_false_only(X0,X1) ) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X1,X0] :
( ( g_false_only(X1,X0)
| g_true(X1,X0)
| ~ g_false(X1,X0) )
& ( ( ~ g_true(X1,X0)
& g_false(X1,X0) )
| ~ g_false_only(X1,X0) ) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( ( g_false_only(X1,X0)
| g_true(X1,X0)
| ~ g_false(X1,X0) )
& ( ( ~ g_true(X1,X0)
& g_false(X1,X0) )
| ~ g_false_only(X1,X0) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X1,X0] :
( g_false_only(X1,X0)
<=> ( ~ g_true(X1,X0)
& g_false(X1,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X4,X3] :
( g_false_only(X3,X4)
<=> ( ~ g_true(X3,X4)
& g_false(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_only_g) ).
fof(f1622,plain,
( g_false_only(sK19,sK4(sK19))
| ~ spl23_108 ),
inference(avatar_component_clause,[],[f1620]) ).
fof(f1699,plain,
( spl23_77
| ~ spl23_14
| ~ spl23_15 ),
inference(avatar_split_clause,[],[f1697,f177,f173,f997]) ).
fof(f997,plain,
( spl23_77
<=> ! [X3] : ~ g_both(sK7,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_77])]) ).
fof(f177,plain,
( spl23_15
<=> ! [X2] : h_false_only(sK7,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_15])]) ).
fof(f1697,plain,
( ! [X2] : ~ g_both(sK7,X2)
| ~ spl23_14
| ~ spl23_15 ),
inference(resolution,[],[f178,f174]) ).
fof(f178,plain,
( ! [X2] : h_false_only(sK7,X2)
| ~ spl23_15 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f1618,plain,
( spl23_104
| spl23_105
| ~ spl23_25
| ~ spl23_62 ),
inference(avatar_split_clause,[],[f1500,f794,f220,f1604,f1601]) ).
fof(f794,plain,
( spl23_62
<=> h_both(sK19,sK12(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_62])]) ).
fof(f1500,plain,
( ! [X4] :
( h_true_only(sK19,sK10(sK19))
| ~ g_true_only(sK19,X4) )
| ~ spl23_25
| ~ spl23_62 ),
inference(resolution,[],[f796,f221]) ).
fof(f796,plain,
( h_both(sK19,sK12(sK19))
| ~ spl23_62 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f1607,plain,
( spl23_104
| spl23_105
| ~ spl23_25
| ~ spl23_52 ),
inference(avatar_split_clause,[],[f1408,f526,f220,f1604,f1601]) ).
fof(f1408,plain,
( ! [X4] :
( h_true_only(sK19,sK10(sK19))
| ~ g_true_only(sK19,X4) )
| ~ spl23_25
| ~ spl23_52 ),
inference(resolution,[],[f528,f221]) ).
fof(f1599,plain,
( ~ spl23_94
| ~ spl23_99 ),
inference(avatar_contradiction_clause,[],[f1598]) ).
fof(f1598,plain,
( $false
| ~ spl23_94
| ~ spl23_99 ),
inference(subsumption_resolution,[],[f1594,f1523]) ).
fof(f1523,plain,
( g_true(sK21,sK13(sK21))
| ~ spl23_94 ),
inference(resolution,[],[f1279,f116]) ).
fof(f1279,plain,
( g_true_only(sK21,sK13(sK21))
| ~ spl23_94 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f1277,plain,
( spl23_94
<=> g_true_only(sK21,sK13(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_94])]) ).
fof(f1594,plain,
( ~ g_true(sK21,sK13(sK21))
| ~ spl23_99 ),
inference(resolution,[],[f1445,f110]) ).
fof(f1445,plain,
( g_false_only(sK21,sK13(sK21))
| ~ spl23_99 ),
inference(avatar_component_clause,[],[f1443]) ).
fof(f1443,plain,
( spl23_99
<=> g_false_only(sK21,sK13(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_99])]) ).
fof(f1446,plain,
( spl23_99
| spl23_94
| ~ spl23_1
| ~ spl23_10
| spl23_82 ),
inference(avatar_split_clause,[],[f1441,f1091,f156,f121,f1277,f1443]) ).
fof(f156,plain,
( spl23_10
<=> ! [X6,X0] :
( ~ g_both(X0,X6)
| g_true_only(X0,sK13(X0))
| ~ h_false_only(X0,sK12(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_10])]) ).
fof(f1091,plain,
( spl23_82
<=> h_both(sK21,sK12(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_82])]) ).
fof(f1441,plain,
( g_true_only(sK21,sK13(sK21))
| g_false_only(sK21,sK13(sK21))
| ~ spl23_1
| ~ spl23_10
| spl23_82 ),
inference(subsumption_resolution,[],[f1321,f122]) ).
fof(f1321,plain,
( g_true_only(sK21,sK13(sK21))
| g_false_only(sK21,sK13(sK21))
| h_true_only(sK21,sK12(sK21))
| ~ spl23_10
| spl23_82 ),
inference(resolution,[],[f791,f1092]) ).
fof(f1092,plain,
( ~ h_both(sK21,sK12(sK21))
| spl23_82 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f791,plain,
( ! [X0] :
( h_both(X0,sK12(X0))
| g_true_only(X0,sK13(X0))
| g_false_only(X0,sK13(X0))
| h_true_only(X0,sK12(X0)) )
| ~ spl23_10 ),
inference(factoring,[],[f780]) ).
fof(f780,plain,
( ! [X0,X1] :
( h_both(X0,sK12(X0))
| g_true_only(X0,X1)
| g_true_only(X0,sK13(X0))
| h_true_only(X0,sK12(X0))
| g_false_only(X0,X1) )
| ~ spl23_10 ),
inference(resolution,[],[f415,f81]) ).
fof(f415,plain,
( ! [X0,X1] :
( ~ g_both(X0,X1)
| g_true_only(X0,sK13(X0))
| h_both(X0,sK12(X0))
| h_true_only(X0,sK12(X0)) )
| ~ spl23_10 ),
inference(resolution,[],[f157,f80]) ).
fof(f157,plain,
( ! [X0,X6] :
( ~ h_false_only(X0,sK12(X0))
| g_true_only(X0,sK13(X0))
| ~ g_both(X0,X6) )
| ~ spl23_10 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f1431,plain,
( ~ spl23_21
| ~ spl23_25
| ~ spl23_52
| ~ spl23_63 ),
inference(avatar_contradiction_clause,[],[f1426]) ).
fof(f1426,plain,
( $false
| ~ spl23_21
| ~ spl23_25
| ~ spl23_52
| ~ spl23_63 ),
inference(resolution,[],[f800,f1411]) ).
fof(f1411,plain,
( ! [X4] : ~ g_true_only(sK19,X4)
| ~ spl23_21
| ~ spl23_25
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f1408,f204]) ).
fof(f800,plain,
( g_true_only(sK19,sK13(sK19))
| ~ spl23_63 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f798,plain,
( spl23_63
<=> g_true_only(sK19,sK13(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_63])]) ).
fof(f1361,plain,
( spl23_60
| ~ spl23_1
| ~ spl23_4
| ~ spl23_94 ),
inference(avatar_split_clause,[],[f1360,f1277,f133,f121,f594]) ).
fof(f594,plain,
( spl23_60
<=> h_both(sK21,sK11(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_60])]) ).
fof(f133,plain,
( spl23_4
<=> ! [X4,X0] :
( ~ g_true_only(X0,X4)
| ~ h_false_only(X0,sK11(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).
fof(f1360,plain,
( h_both(sK21,sK11(sK21))
| ~ spl23_1
| ~ spl23_4
| ~ spl23_94 ),
inference(subsumption_resolution,[],[f1357,f122]) ).
fof(f1357,plain,
( h_both(sK21,sK11(sK21))
| h_true_only(sK21,sK11(sK21))
| ~ spl23_4
| ~ spl23_94 ),
inference(resolution,[],[f1279,f776]) ).
fof(f776,plain,
( ! [X0,X1] :
( ~ g_true_only(X0,X1)
| h_true_only(X0,sK11(X0))
| h_both(X0,sK11(X0)) )
| ~ spl23_4 ),
inference(resolution,[],[f134,f80]) ).
fof(f134,plain,
( ! [X0,X4] :
( ~ h_false_only(X0,sK11(X0))
| ~ g_true_only(X0,X4) )
| ~ spl23_4 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f1280,plain,
( spl23_55
| spl23_94
| ~ spl23_1
| ~ spl23_10
| spl23_82 ),
inference(avatar_split_clause,[],[f1275,f1091,f156,f121,f1277,f542]) ).
fof(f1275,plain,
( ! [X0] :
( g_true_only(sK21,sK13(sK21))
| g_false_only(sK21,X0)
| g_true_only(sK21,X0) )
| ~ spl23_1
| ~ spl23_10
| spl23_82 ),
inference(subsumption_resolution,[],[f1274,f122]) ).
fof(f1274,plain,
( ! [X0] :
( g_true_only(sK21,sK13(sK21))
| g_false_only(sK21,X0)
| g_true_only(sK21,X0)
| h_true_only(sK21,sK12(sK21)) )
| ~ spl23_10
| spl23_82 ),
inference(resolution,[],[f1092,f780]) ).
fof(f1273,plain,
( spl23_71
| spl23_70
| ~ spl23_1
| ~ spl23_24
| ~ spl23_25
| ~ spl23_82 ),
inference(avatar_split_clause,[],[f1272,f1091,f220,f216,f121,f934,f937]) ).
fof(f934,plain,
( spl23_70
<=> ! [X6] :
( g_false_only(sK21,X6)
| ~ g_both(sK21,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_70])]) ).
fof(f1272,plain,
( ! [X2,X3] :
( ~ g_both(sK21,X3)
| g_false_only(sK21,X3)
| h_false_only(sK21,X2) )
| ~ spl23_1
| ~ spl23_24
| ~ spl23_25
| ~ spl23_82 ),
inference(subsumption_resolution,[],[f1271,f1260]) ).
fof(f1260,plain,
( ! [X4] : ~ g_true_only(sK21,X4)
| ~ spl23_1
| ~ spl23_25
| ~ spl23_82 ),
inference(subsumption_resolution,[],[f1250,f122]) ).
fof(f1250,plain,
( ! [X4] :
( h_true_only(sK21,sK10(sK21))
| ~ g_true_only(sK21,X4) )
| ~ spl23_25
| ~ spl23_82 ),
inference(resolution,[],[f1093,f221]) ).
fof(f1093,plain,
( h_both(sK21,sK12(sK21))
| ~ spl23_82 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f1271,plain,
( ! [X2,X3] :
( h_false_only(sK21,X2)
| ~ g_both(sK21,X3)
| g_false_only(sK21,X3)
| g_true_only(sK21,sK4(sK21)) )
| ~ spl23_1
| ~ spl23_24
| ~ spl23_82 ),
inference(subsumption_resolution,[],[f1249,f122]) ).
fof(f1249,plain,
( ! [X2,X3] :
( h_true_only(sK21,sK5(sK21,X3))
| h_false_only(sK21,X2)
| g_true_only(sK21,sK4(sK21))
| ~ g_both(sK21,X3)
| g_false_only(sK21,X3) )
| ~ spl23_24
| ~ spl23_82 ),
inference(resolution,[],[f1093,f217]) ).
fof(f1259,plain,
( spl23_64
| ~ spl23_82 ),
inference(avatar_contradiction_clause,[],[f1258]) ).
fof(f1258,plain,
( $false
| spl23_64
| ~ spl23_82 ),
inference(subsumption_resolution,[],[f1247,f868]) ).
fof(f868,plain,
( ~ h_true(sK21,sK12(sK21))
| spl23_64 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f867,plain,
( spl23_64
<=> h_true(sK21,sK12(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_64])]) ).
fof(f1247,plain,
( h_true(sK21,sK12(sK21))
| ~ spl23_82 ),
inference(resolution,[],[f1093,f108]) ).
fof(f1219,plain,
( spl23_29
| ~ spl23_4
| ~ spl23_10
| ~ spl23_21
| spl23_52
| ~ spl23_66 ),
inference(avatar_split_clause,[],[f1218,f893,f526,f203,f156,f133,f282]) ).
fof(f1218,plain,
( ! [X1] : g_false_only(sK19,X1)
| ~ spl23_4
| ~ spl23_10
| ~ spl23_21
| spl23_52
| ~ spl23_66 ),
inference(subsumption_resolution,[],[f1217,f204]) ).
fof(f1217,plain,
( ! [X1] :
( h_true_only(sK19,sK11(sK19))
| g_false_only(sK19,X1) )
| ~ spl23_4
| ~ spl23_10
| spl23_52
| ~ spl23_66 ),
inference(subsumption_resolution,[],[f1214,f527]) ).
fof(f527,plain,
( ~ h_both(sK19,sK11(sK19))
| spl23_52 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f1214,plain,
( ! [X1] :
( g_false_only(sK19,X1)
| h_both(sK19,sK11(sK19))
| h_true_only(sK19,sK11(sK19)) )
| ~ spl23_4
| ~ spl23_10
| ~ spl23_66 ),
inference(resolution,[],[f1207,f845]) ).
fof(f845,plain,
( ! [X0,X1] :
( h_true(X0,sK12(X0))
| g_false_only(X0,X1)
| h_true_only(X0,sK11(X0))
| h_both(X0,sK11(X0)) )
| ~ spl23_4
| ~ spl23_10 ),
inference(subsumption_resolution,[],[f836,f776]) ).
fof(f836,plain,
( ! [X0,X1] :
( g_false_only(X0,X1)
| h_both(X0,sK11(X0))
| h_true_only(X0,sK11(X0))
| h_true(X0,sK12(X0))
| g_true_only(X0,sK13(X0)) )
| ~ spl23_4
| ~ spl23_10 ),
inference(resolution,[],[f803,f776]) ).
fof(f803,plain,
( ! [X6,X7] :
( h_true(X6,sK12(X6))
| g_true_only(X6,X7)
| g_false_only(X6,X7)
| g_true_only(X6,sK13(X6)) )
| ~ spl23_10 ),
inference(subsumption_resolution,[],[f783,f75]) ).
fof(f783,plain,
( ! [X6,X7] :
( h_true_only(X6,sK12(X6))
| g_true_only(X6,sK13(X6))
| h_true(X6,sK12(X6))
| g_false_only(X6,X7)
| g_true_only(X6,X7) )
| ~ spl23_10 ),
inference(resolution,[],[f780,f108]) ).
fof(f1207,plain,
( ! [X0] : ~ h_true(sK19,X0)
| ~ spl23_66 ),
inference(resolution,[],[f894,f78]) ).
fof(f1195,plain,
( spl23_66
| spl23_88
| ~ spl23_21
| ~ spl23_24
| ~ spl23_25
| ~ spl23_62 ),
inference(avatar_split_clause,[],[f1194,f794,f220,f216,f203,f1183,f893]) ).
fof(f1194,plain,
( ! [X2,X3] :
( ~ g_both(sK19,X3)
| g_false_only(sK19,X3)
| h_false_only(sK19,X2) )
| ~ spl23_21
| ~ spl23_24
| ~ spl23_25
| ~ spl23_62 ),
inference(subsumption_resolution,[],[f1193,f204]) ).
fof(f1193,plain,
( ! [X2,X3] :
( h_true_only(sK19,sK5(sK19,X3))
| g_false_only(sK19,X3)
| ~ g_both(sK19,X3)
| h_false_only(sK19,X2) )
| ~ spl23_21
| ~ spl23_24
| ~ spl23_25
| ~ spl23_62 ),
inference(subsumption_resolution,[],[f1176,f1180]) ).
fof(f1180,plain,
( ! [X4] : ~ g_true_only(sK19,X4)
| ~ spl23_21
| ~ spl23_25
| ~ spl23_62 ),
inference(subsumption_resolution,[],[f1177,f204]) ).
fof(f1177,plain,
( ! [X4] :
( h_true_only(sK19,sK10(sK19))
| ~ g_true_only(sK19,X4) )
| ~ spl23_25
| ~ spl23_62 ),
inference(resolution,[],[f796,f221]) ).
fof(f1176,plain,
( ! [X2,X3] :
( g_true_only(sK19,sK4(sK19))
| g_false_only(sK19,X3)
| ~ g_both(sK19,X3)
| h_false_only(sK19,X2)
| h_true_only(sK19,sK5(sK19,X3)) )
| ~ spl23_24
| ~ spl23_62 ),
inference(resolution,[],[f796,f217]) ).
fof(f1116,plain,
( ~ spl23_21
| ~ spl23_65 ),
inference(avatar_contradiction_clause,[],[f1115]) ).
fof(f1115,plain,
( $false
| ~ spl23_21
| ~ spl23_65 ),
inference(resolution,[],[f204,f884]) ).
fof(f884,plain,
( h_true_only(sK19,sK12(sK19))
| ~ spl23_65 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f882,plain,
( spl23_65
<=> h_true_only(sK19,sK12(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_65])]) ).
fof(f1101,plain,
( ~ spl23_19
| ~ spl23_44 ),
inference(avatar_contradiction_clause,[],[f1100]) ).
fof(f1100,plain,
( $false
| ~ spl23_19
| ~ spl23_44 ),
inference(subsumption_resolution,[],[f444,f1070]) ).
fof(f1070,plain,
( ! [X2] : ~ h_true_only(sK7,X2)
| ~ spl23_19 ),
inference(resolution,[],[f1034,f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ h_false(X0,X1)
| ~ h_true_only(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f1034,plain,
( ! [X1] : h_false(sK7,X1)
| ~ spl23_19 ),
inference(subsumption_resolution,[],[f1019,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ h_both(X1,X0)
| h_false(X1,X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f1019,plain,
( ! [X1] :
( h_false(sK7,X1)
| h_both(sK7,X1) )
| ~ spl23_19 ),
inference(resolution,[],[f196,f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ h_false_only(X1,X0)
| h_false(X1,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f196,plain,
( ! [X2] :
( h_false_only(sK7,X2)
| h_both(sK7,X2) )
| ~ spl23_19 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f195,plain,
( spl23_19
<=> ! [X2] :
( h_both(sK7,X2)
| h_false_only(sK7,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_19])]) ).
fof(f444,plain,
( h_true_only(sK7,sK10(sK7))
| ~ spl23_44 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f442,plain,
( spl23_44
<=> h_true_only(sK7,sK10(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_44])]) ).
fof(f1097,plain,
( spl23_59
| ~ spl23_1
| ~ spl23_10
| ~ spl23_25
| ~ spl23_60
| spl23_64 ),
inference(avatar_split_clause,[],[f1096,f867,f594,f220,f156,f121,f591]) ).
fof(f1096,plain,
( ! [X0] : g_false_only(sK21,X0)
| ~ spl23_1
| ~ spl23_10
| ~ spl23_25
| ~ spl23_60
| spl23_64 ),
inference(subsumption_resolution,[],[f1095,f868]) ).
fof(f1095,plain,
( ! [X0] :
( h_true(sK21,sK12(sK21))
| g_false_only(sK21,X0) )
| ~ spl23_1
| ~ spl23_10
| ~ spl23_25
| ~ spl23_60 ),
inference(subsumption_resolution,[],[f1086,f1085]) ).
fof(f1085,plain,
( ! [X0] : ~ g_true_only(sK21,X0)
| ~ spl23_1
| ~ spl23_25
| ~ spl23_60 ),
inference(subsumption_resolution,[],[f1082,f122]) ).
fof(f1082,plain,
( ! [X0] :
( ~ g_true_only(sK21,X0)
| h_true_only(sK21,sK10(sK21)) )
| ~ spl23_25
| ~ spl23_60 ),
inference(resolution,[],[f596,f221]) ).
fof(f596,plain,
( h_both(sK21,sK11(sK21))
| ~ spl23_60 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f1086,plain,
( ! [X0] :
( g_true_only(sK21,sK13(sK21))
| g_false_only(sK21,X0)
| h_true(sK21,sK12(sK21)) )
| ~ spl23_1
| ~ spl23_10
| ~ spl23_25
| ~ spl23_60 ),
inference(resolution,[],[f1085,f803]) ).
fof(f1094,plain,
( spl23_82
| spl23_59
| ~ spl23_1
| ~ spl23_10
| ~ spl23_25
| ~ spl23_60 ),
inference(avatar_split_clause,[],[f1089,f594,f220,f156,f121,f591,f1091]) ).
fof(f1089,plain,
( ! [X1] :
( g_false_only(sK21,X1)
| h_both(sK21,sK12(sK21)) )
| ~ spl23_1
| ~ spl23_10
| ~ spl23_25
| ~ spl23_60 ),
inference(subsumption_resolution,[],[f1088,f1085]) ).
fof(f1088,plain,
( ! [X1] :
( h_both(sK21,sK12(sK21))
| g_false_only(sK21,X1)
| g_true_only(sK21,sK13(sK21)) )
| ~ spl23_1
| ~ spl23_10
| ~ spl23_25
| ~ spl23_60 ),
inference(subsumption_resolution,[],[f1087,f122]) ).
fof(f1087,plain,
( ! [X1] :
( h_true_only(sK21,sK12(sK21))
| g_true_only(sK21,sK13(sK21))
| g_false_only(sK21,X1)
| h_both(sK21,sK12(sK21)) )
| ~ spl23_1
| ~ spl23_10
| ~ spl23_25
| ~ spl23_60 ),
inference(resolution,[],[f1085,f780]) ).
fof(f1036,plain,
( spl23_45
| ~ spl23_4
| ~ spl23_19
| spl23_40 ),
inference(avatar_split_clause,[],[f1035,f420,f195,f133,f446]) ).
fof(f446,plain,
( spl23_45
<=> ! [X0] : ~ g_true_only(sK7,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_45])]) ).
fof(f420,plain,
( spl23_40
<=> h_both(sK7,sK11(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_40])]) ).
fof(f1035,plain,
( ! [X2] : ~ g_true_only(sK7,X2)
| ~ spl23_4
| ~ spl23_19
| spl23_40 ),
inference(subsumption_resolution,[],[f1020,f421]) ).
fof(f421,plain,
( ~ h_both(sK7,sK11(sK7))
| spl23_40 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f1020,plain,
( ! [X2] :
( h_both(sK7,sK11(sK7))
| ~ g_true_only(sK7,X2) )
| ~ spl23_4
| ~ spl23_19 ),
inference(resolution,[],[f196,f134]) ).
fof(f1030,plain,
( ~ spl23_45
| ~ spl23_73 ),
inference(avatar_contradiction_clause,[],[f1029]) ).
fof(f1029,plain,
( $false
| ~ spl23_45
| ~ spl23_73 ),
inference(subsumption_resolution,[],[f974,f447]) ).
fof(f447,plain,
( ! [X0] : ~ g_true_only(sK7,X0)
| ~ spl23_45 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f974,plain,
( g_true_only(sK7,sK13(sK7))
| ~ spl23_73 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f972,plain,
( spl23_73
<=> g_true_only(sK7,sK13(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_73])]) ).
fof(f1028,plain,
( ~ spl23_11
| ~ spl23_77 ),
inference(avatar_contradiction_clause,[],[f1026]) ).
fof(f1026,plain,
( $false
| ~ spl23_11
| ~ spl23_77 ),
inference(resolution,[],[f998,f162]) ).
fof(f162,plain,
( g_both(sK7,sK6)
| ~ spl23_11 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl23_11
<=> g_both(sK7,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_11])]) ).
fof(f998,plain,
( ! [X3] : ~ g_both(sK7,X3)
| ~ spl23_77 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f999,plain,
( spl23_73
| spl23_77
| ~ spl23_10
| ~ spl23_15 ),
inference(avatar_split_clause,[],[f994,f177,f156,f997,f972]) ).
fof(f994,plain,
( ! [X3] :
( ~ g_both(sK7,X3)
| g_true_only(sK7,sK13(sK7)) )
| ~ spl23_10
| ~ spl23_15 ),
inference(resolution,[],[f178,f157]) ).
fof(f960,plain,
( spl23_59
| spl23_60
| ~ spl23_1
| ~ spl23_4
| ~ spl23_10
| ~ spl23_71 ),
inference(avatar_split_clause,[],[f959,f937,f156,f133,f121,f594,f591]) ).
fof(f959,plain,
( ! [X1] :
( h_both(sK21,sK11(sK21))
| g_false_only(sK21,X1) )
| ~ spl23_1
| ~ spl23_4
| ~ spl23_10
| ~ spl23_71 ),
inference(subsumption_resolution,[],[f952,f122]) ).
fof(f952,plain,
( ! [X1] :
( h_true_only(sK21,sK11(sK21))
| g_false_only(sK21,X1)
| h_both(sK21,sK11(sK21)) )
| ~ spl23_4
| ~ spl23_10
| ~ spl23_71 ),
inference(resolution,[],[f944,f845]) ).
fof(f944,plain,
( ! [X0] : ~ h_true(sK21,X0)
| ~ spl23_71 ),
inference(resolution,[],[f938,f78]) ).
fof(f955,plain,
( ~ spl23_64
| ~ spl23_71 ),
inference(avatar_contradiction_clause,[],[f950]) ).
fof(f950,plain,
( $false
| ~ spl23_64
| ~ spl23_71 ),
inference(resolution,[],[f944,f869]) ).
fof(f869,plain,
( h_true(sK21,sK12(sK21))
| ~ spl23_64 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f943,plain,
( spl23_59
| ~ spl23_1
| ~ spl23_25
| ~ spl23_64
| ~ spl23_70 ),
inference(avatar_split_clause,[],[f942,f934,f867,f220,f121,f591]) ).
fof(f942,plain,
( ! [X0] : g_false_only(sK21,X0)
| ~ spl23_1
| ~ spl23_25
| ~ spl23_64
| ~ spl23_70 ),
inference(subsumption_resolution,[],[f941,f910]) ).
fof(f910,plain,
( ! [X0] : ~ g_true_only(sK21,X0)
| ~ spl23_1
| ~ spl23_25
| ~ spl23_64 ),
inference(subsumption_resolution,[],[f907,f122]) ).
fof(f907,plain,
( ! [X0] :
( h_true_only(sK21,sK10(sK21))
| ~ g_true_only(sK21,X0) )
| ~ spl23_1
| ~ spl23_25
| ~ spl23_64 ),
inference(resolution,[],[f902,f221]) ).
fof(f902,plain,
( h_both(sK21,sK12(sK21))
| ~ spl23_1
| ~ spl23_64 ),
inference(subsumption_resolution,[],[f900,f122]) ).
fof(f900,plain,
( h_both(sK21,sK12(sK21))
| h_true_only(sK21,sK12(sK21))
| ~ spl23_64 ),
inference(resolution,[],[f869,f232]) ).
fof(f232,plain,
! [X4,X5] :
( ~ h_true(X4,X5)
| h_both(X4,X5)
| h_true_only(X4,X5) ),
inference(resolution,[],[f80,f78]) ).
fof(f941,plain,
( ! [X0] :
( g_false_only(sK21,X0)
| g_true_only(sK21,X0) )
| ~ spl23_70 ),
inference(duplicate_literal_removal,[],[f940]) ).
fof(f940,plain,
( ! [X0] :
( g_false_only(sK21,X0)
| g_false_only(sK21,X0)
| g_true_only(sK21,X0) )
| ~ spl23_70 ),
inference(resolution,[],[f935,f81]) ).
fof(f935,plain,
( ! [X6] :
( ~ g_both(sK21,X6)
| g_false_only(sK21,X6) )
| ~ spl23_70 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f885,plain,
( spl23_65
| spl23_28
| ~ spl23_10
| spl23_62
| spl23_63 ),
inference(avatar_split_clause,[],[f880,f798,f794,f156,f279,f882]) ).
fof(f880,plain,
( ! [X0] :
( g_true_only(sK19,X0)
| h_true_only(sK19,sK12(sK19))
| g_false_only(sK19,X0) )
| ~ spl23_10
| spl23_62
| spl23_63 ),
inference(subsumption_resolution,[],[f812,f799]) ).
fof(f799,plain,
( ~ g_true_only(sK19,sK13(sK19))
| spl23_63 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f812,plain,
( ! [X0] :
( g_true_only(sK19,X0)
| g_true_only(sK19,sK13(sK19))
| h_true_only(sK19,sK12(sK19))
| g_false_only(sK19,X0) )
| ~ spl23_10
| spl23_62 ),
inference(resolution,[],[f795,f780]) ).
fof(f795,plain,
( ~ h_both(sK19,sK12(sK19))
| spl23_62 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f879,plain,
( spl23_59
| ~ spl23_1
| ~ spl23_7
| ~ spl23_25
| spl23_54
| ~ spl23_60 ),
inference(avatar_split_clause,[],[f878,f594,f538,f220,f144,f121,f591]) ).
fof(f144,plain,
( spl23_7
<=> ! [X4,X0,X1] :
( h_true_only(X0,sK14(X0))
| ~ h_both(X0,X1)
| g_true_only(X0,sK15(X0))
| ~ g_both(X0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_7])]) ).
fof(f538,plain,
( spl23_54
<=> g_true_only(sK21,sK15(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_54])]) ).
fof(f878,plain,
( ! [X0] : g_false_only(sK21,X0)
| ~ spl23_1
| ~ spl23_7
| ~ spl23_25
| spl23_54
| ~ spl23_60 ),
inference(subsumption_resolution,[],[f877,f539]) ).
fof(f539,plain,
( ~ g_true_only(sK21,sK15(sK21))
| spl23_54 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f877,plain,
( ! [X0] :
( g_false_only(sK21,X0)
| g_true_only(sK21,sK15(sK21)) )
| ~ spl23_1
| ~ spl23_7
| ~ spl23_25
| ~ spl23_60 ),
inference(subsumption_resolution,[],[f876,f122]) ).
fof(f876,plain,
( ! [X0] :
( h_true_only(sK21,sK14(sK21))
| g_false_only(sK21,X0)
| g_true_only(sK21,sK15(sK21)) )
| ~ spl23_1
| ~ spl23_7
| ~ spl23_25
| ~ spl23_60 ),
inference(subsumption_resolution,[],[f871,f875]) ).
fof(f875,plain,
( ! [X1] : ~ g_true_only(sK21,X1)
| ~ spl23_1
| ~ spl23_25
| ~ spl23_60 ),
inference(subsumption_resolution,[],[f872,f122]) ).
fof(f872,plain,
( ! [X1] :
( ~ g_true_only(sK21,X1)
| h_true_only(sK21,sK10(sK21)) )
| ~ spl23_25
| ~ spl23_60 ),
inference(resolution,[],[f596,f221]) ).
fof(f871,plain,
( ! [X0] :
( g_true_only(sK21,X0)
| g_true_only(sK21,sK15(sK21))
| g_false_only(sK21,X0)
| h_true_only(sK21,sK14(sK21)) )
| ~ spl23_7
| ~ spl23_60 ),
inference(resolution,[],[f596,f410]) ).
fof(f410,plain,
( ! [X2,X0,X1] :
( ~ h_both(X0,X1)
| g_true_only(X0,X2)
| h_true_only(X0,sK14(X0))
| g_false_only(X0,X2)
| g_true_only(X0,sK15(X0)) )
| ~ spl23_7 ),
inference(resolution,[],[f145,f81]) ).
fof(f145,plain,
( ! [X0,X1,X4] :
( ~ g_both(X0,X4)
| ~ h_both(X0,X1)
| g_true_only(X0,sK15(X0))
| h_true_only(X0,sK14(X0)) )
| ~ spl23_7 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f864,plain,
( spl23_55
| ~ spl23_1
| ~ spl23_4
| ~ spl23_7
| ~ spl23_10
| spl23_16
| spl23_54
| spl23_60 ),
inference(avatar_split_clause,[],[f863,f594,f538,f181,f156,f144,f133,f121,f542]) ).
fof(f181,plain,
( spl23_16
<=> g_false_only(sK21,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_16])]) ).
fof(f863,plain,
( ! [X0] :
( g_true_only(sK21,X0)
| g_false_only(sK21,X0) )
| ~ spl23_1
| ~ spl23_4
| ~ spl23_7
| ~ spl23_10
| spl23_16
| spl23_54
| spl23_60 ),
inference(subsumption_resolution,[],[f862,f539]) ).
fof(f862,plain,
( ! [X0] :
( g_false_only(sK21,X0)
| g_true_only(sK21,sK15(sK21))
| g_true_only(sK21,X0) )
| ~ spl23_1
| ~ spl23_4
| ~ spl23_7
| ~ spl23_10
| spl23_16
| spl23_60 ),
inference(subsumption_resolution,[],[f858,f122]) ).
fof(f858,plain,
( ! [X0] :
( g_false_only(sK21,X0)
| h_true_only(sK21,sK14(sK21))
| g_true_only(sK21,X0)
| g_true_only(sK21,sK15(sK21)) )
| ~ spl23_1
| ~ spl23_4
| ~ spl23_7
| ~ spl23_10
| spl23_16
| spl23_60 ),
inference(resolution,[],[f857,f410]) ).
fof(f857,plain,
( h_both(sK21,sK12(sK21))
| ~ spl23_1
| ~ spl23_4
| ~ spl23_10
| spl23_16
| spl23_60 ),
inference(subsumption_resolution,[],[f855,f122]) ).
fof(f855,plain,
( h_both(sK21,sK12(sK21))
| h_true_only(sK21,sK12(sK21))
| ~ spl23_1
| ~ spl23_4
| ~ spl23_10
| spl23_16
| spl23_60 ),
inference(resolution,[],[f854,f232]) ).
fof(f854,plain,
( h_true(sK21,sK12(sK21))
| ~ spl23_1
| ~ spl23_4
| ~ spl23_10
| spl23_16
| spl23_60 ),
inference(subsumption_resolution,[],[f853,f595]) ).
fof(f595,plain,
( ~ h_both(sK21,sK11(sK21))
| spl23_60 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f853,plain,
( h_both(sK21,sK11(sK21))
| h_true(sK21,sK12(sK21))
| ~ spl23_1
| ~ spl23_4
| ~ spl23_10
| spl23_16 ),
inference(subsumption_resolution,[],[f852,f122]) ).
fof(f852,plain,
( h_true_only(sK21,sK11(sK21))
| h_both(sK21,sK11(sK21))
| h_true(sK21,sK12(sK21))
| ~ spl23_4
| ~ spl23_10
| spl23_16 ),
inference(resolution,[],[f845,f183]) ).
fof(f183,plain,
( ~ g_false_only(sK21,sK22)
| spl23_16 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f823,plain,
( spl23_28
| ~ spl23_10
| ~ spl23_21
| spl23_62
| spl23_63 ),
inference(avatar_split_clause,[],[f822,f798,f794,f203,f156,f279]) ).
fof(f822,plain,
( ! [X0] :
( g_true_only(sK19,X0)
| g_false_only(sK19,X0) )
| ~ spl23_10
| ~ spl23_21
| spl23_62
| spl23_63 ),
inference(subsumption_resolution,[],[f821,f799]) ).
fof(f821,plain,
( ! [X0] :
( g_true_only(sK19,sK13(sK19))
| g_true_only(sK19,X0)
| g_false_only(sK19,X0) )
| ~ spl23_10
| ~ spl23_21
| spl23_62 ),
inference(subsumption_resolution,[],[f812,f204]) ).
fof(f820,plain,
( ~ spl23_4
| ~ spl23_21
| spl23_52
| ~ spl23_63 ),
inference(avatar_contradiction_clause,[],[f819]) ).
fof(f819,plain,
( $false
| ~ spl23_4
| ~ spl23_21
| spl23_52
| ~ spl23_63 ),
inference(subsumption_resolution,[],[f818,f527]) ).
fof(f818,plain,
( h_both(sK19,sK11(sK19))
| ~ spl23_4
| ~ spl23_21
| ~ spl23_63 ),
inference(subsumption_resolution,[],[f813,f204]) ).
fof(f813,plain,
( h_true_only(sK19,sK11(sK19))
| h_both(sK19,sK11(sK19))
| ~ spl23_4
| ~ spl23_63 ),
inference(resolution,[],[f800,f776]) ).
fof(f810,plain,
( spl23_28
| ~ spl23_7
| ~ spl23_21
| spl23_27
| ~ spl23_62 ),
inference(avatar_split_clause,[],[f809,f794,f275,f203,f144,f279]) ).
fof(f275,plain,
( spl23_27
<=> g_true_only(sK19,sK15(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_27])]) ).
fof(f809,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| g_true_only(sK19,X0) )
| ~ spl23_7
| ~ spl23_21
| spl23_27
| ~ spl23_62 ),
inference(subsumption_resolution,[],[f808,f204]) ).
fof(f808,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| h_true_only(sK19,sK14(sK19))
| g_true_only(sK19,X0) )
| ~ spl23_7
| spl23_27
| ~ spl23_62 ),
inference(subsumption_resolution,[],[f804,f276]) ).
fof(f276,plain,
( ~ g_true_only(sK19,sK15(sK19))
| spl23_27 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f804,plain,
( ! [X0] :
( g_true_only(sK19,sK15(sK19))
| h_true_only(sK19,sK14(sK19))
| g_true_only(sK19,X0)
| g_false_only(sK19,X0) )
| ~ spl23_7
| ~ spl23_62 ),
inference(resolution,[],[f796,f410]) ).
fof(f761,plain,
( ~ spl23_18
| ~ spl23_20
| ~ spl23_21
| ~ spl23_27 ),
inference(avatar_contradiction_clause,[],[f760]) ).
fof(f760,plain,
( $false
| ~ spl23_18
| ~ spl23_20
| ~ spl23_21
| ~ spl23_27 ),
inference(subsumption_resolution,[],[f758,f204]) ).
fof(f758,plain,
( h_true_only(sK19,sK18(sK15(sK19),sK19))
| ~ spl23_18
| ~ spl23_20
| ~ spl23_27 ),
inference(resolution,[],[f277,f680]) ).
fof(f680,plain,
( ! [X0,X1] :
( ~ g_true_only(X0,X1)
| h_true_only(X0,sK18(X1,X0)) )
| ~ spl23_18
| ~ spl23_20 ),
inference(subsumption_resolution,[],[f679,f192]) ).
fof(f277,plain,
( g_true_only(sK19,sK15(sK19))
| ~ spl23_27 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f756,plain,
( spl23_29
| ~ spl23_18
| ~ spl23_20
| ~ spl23_21
| ~ spl23_28 ),
inference(avatar_split_clause,[],[f755,f279,f203,f199,f191,f282]) ).
fof(f755,plain,
( ! [X0] : g_false_only(sK19,X0)
| ~ spl23_18
| ~ spl23_20
| ~ spl23_21
| ~ spl23_28 ),
inference(subsumption_resolution,[],[f753,f204]) ).
fof(f753,plain,
( ! [X0] :
( h_true_only(sK19,sK18(X0,sK19))
| g_false_only(sK19,X0) )
| ~ spl23_18
| ~ spl23_20
| ~ spl23_28 ),
inference(resolution,[],[f280,f680]) ).
fof(f280,plain,
( ! [X0] :
( g_true_only(sK19,X0)
| g_false_only(sK19,X0) )
| ~ spl23_28 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f720,plain,
( spl23_27
| spl23_28
| ~ spl23_7
| ~ spl23_14
| ~ spl23_21 ),
inference(avatar_split_clause,[],[f719,f203,f173,f144,f279,f275]) ).
fof(f719,plain,
( ! [X1] :
( g_true_only(sK19,X1)
| g_false_only(sK19,X1)
| g_true_only(sK19,sK15(sK19)) )
| ~ spl23_7
| ~ spl23_14
| ~ spl23_21 ),
inference(subsumption_resolution,[],[f617,f204]) ).
fof(f617,plain,
( ! [X1] :
( g_true_only(sK19,X1)
| g_true_only(sK19,sK15(sK19))
| h_true_only(sK19,sK14(sK19))
| g_false_only(sK19,X1) )
| ~ spl23_7
| ~ spl23_14
| ~ spl23_21 ),
inference(resolution,[],[f204,f516]) ).
fof(f516,plain,
( ! [X0,X1] :
( h_true_only(X0,sK18(X1,X0))
| h_true_only(X0,sK14(X0))
| g_true_only(X0,sK15(X0))
| g_false_only(X0,X1)
| g_true_only(X0,X1) )
| ~ spl23_7
| ~ spl23_14 ),
inference(duplicate_literal_removal,[],[f514]) ).
fof(f514,plain,
( ! [X0,X1] :
( h_true_only(X0,sK18(X1,X0))
| g_false_only(X0,X1)
| h_true_only(X0,sK14(X0))
| g_true_only(X0,sK15(X0))
| g_true_only(X0,X1)
| g_false_only(X0,X1) )
| ~ spl23_7
| ~ spl23_14 ),
inference(factoring,[],[f476]) ).
fof(f476,plain,
( ! [X2,X3,X4] :
( h_true_only(X2,sK18(X3,X2))
| g_true_only(X2,X4)
| g_true_only(X2,X3)
| g_true_only(X2,sK15(X2))
| g_false_only(X2,X4)
| h_true_only(X2,sK14(X2))
| g_false_only(X2,X3) )
| ~ spl23_7
| ~ spl23_14 ),
inference(resolution,[],[f453,f410]) ).
fof(f453,plain,
( ! [X0,X1] :
( h_both(X0,sK18(X1,X0))
| g_true_only(X0,X1)
| g_false_only(X0,X1)
| h_true_only(X0,sK18(X1,X0)) )
| ~ spl23_14 ),
inference(resolution,[],[f409,f81]) ).
fof(f409,plain,
( ! [X0,X1] :
( ~ g_both(X0,X1)
| h_true_only(X0,sK18(X1,X0))
| h_both(X0,sK18(X1,X0)) )
| ~ spl23_14 ),
inference(resolution,[],[f174,f80]) ).
fof(f718,plain,
( ~ spl23_1
| ~ spl23_18
| ~ spl23_20
| ~ spl23_54 ),
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f717,plain,
( $false
| ~ spl23_1
| ~ spl23_18
| ~ spl23_20
| ~ spl23_54 ),
inference(subsumption_resolution,[],[f715,f122]) ).
fof(f715,plain,
( h_true_only(sK21,sK18(sK15(sK21),sK21))
| ~ spl23_18
| ~ spl23_20
| ~ spl23_54 ),
inference(resolution,[],[f540,f680]) ).
fof(f540,plain,
( g_true_only(sK21,sK15(sK21))
| ~ spl23_54 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f710,plain,
( spl23_54
| spl23_55
| spl23_55
| ~ spl23_1
| ~ spl23_7
| ~ spl23_14 ),
inference(avatar_split_clause,[],[f709,f173,f144,f121,f542,f542,f538]) ).
fof(f709,plain,
( ! [X2,X3] :
( g_true_only(sK21,X2)
| g_true_only(sK21,X3)
| g_false_only(sK21,X3)
| g_true_only(sK21,sK15(sK21))
| g_false_only(sK21,X2) )
| ~ spl23_1
| ~ spl23_7
| ~ spl23_14 ),
inference(subsumption_resolution,[],[f676,f122]) ).
fof(f676,plain,
( ! [X2,X3] :
( g_true_only(sK21,X3)
| g_true_only(sK21,sK15(sK21))
| g_false_only(sK21,X2)
| g_false_only(sK21,X3)
| g_true_only(sK21,X2)
| h_true_only(sK21,sK14(sK21)) )
| ~ spl23_1
| ~ spl23_7
| ~ spl23_14 ),
inference(resolution,[],[f122,f476]) ).
fof(f708,plain,
( spl23_59
| ~ spl23_1
| ~ spl23_18
| ~ spl23_20
| ~ spl23_55 ),
inference(avatar_split_clause,[],[f707,f542,f199,f191,f121,f591]) ).
fof(f707,plain,
( ! [X0] : g_false_only(sK21,X0)
| ~ spl23_1
| ~ spl23_18
| ~ spl23_20
| ~ spl23_55 ),
inference(subsumption_resolution,[],[f705,f122]) ).
fof(f705,plain,
( ! [X0] :
( h_true_only(sK21,sK18(X0,sK21))
| g_false_only(sK21,X0) )
| ~ spl23_18
| ~ spl23_20
| ~ spl23_55 ),
inference(resolution,[],[f543,f680]) ).
fof(f543,plain,
( ! [X0] :
( g_true_only(sK21,X0)
| g_false_only(sK21,X0) )
| ~ spl23_55 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f673,plain,
( spl23_29
| ~ spl23_21
| ~ spl23_25
| ~ spl23_28
| ~ spl23_52 ),
inference(avatar_split_clause,[],[f672,f526,f279,f220,f203,f282]) ).
fof(f672,plain,
( ! [X0] : g_false_only(sK19,X0)
| ~ spl23_21
| ~ spl23_25
| ~ spl23_28
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f280,f653]) ).
fof(f653,plain,
( ! [X1] : ~ g_true_only(sK19,X1)
| ~ spl23_21
| ~ spl23_25
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f650,f204]) ).
fof(f650,plain,
( ! [X1] :
( h_true_only(sK19,sK10(sK19))
| ~ g_true_only(sK19,X1) )
| ~ spl23_25
| ~ spl23_52 ),
inference(resolution,[],[f528,f221]) ).
fof(f671,plain,
( spl23_29
| ~ spl23_7
| ~ spl23_21
| ~ spl23_25
| ~ spl23_52 ),
inference(avatar_split_clause,[],[f670,f526,f220,f203,f144,f282]) ).
fof(f670,plain,
( ! [X0] : g_false_only(sK19,X0)
| ~ spl23_7
| ~ spl23_21
| ~ spl23_25
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f669,f204]) ).
fof(f669,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| h_true_only(sK19,sK14(sK19)) )
| ~ spl23_7
| ~ spl23_21
| ~ spl23_25
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f668,f653]) ).
fof(f668,plain,
( ! [X0] :
( g_true_only(sK19,sK15(sK19))
| h_true_only(sK19,sK14(sK19))
| g_false_only(sK19,X0) )
| ~ spl23_7
| ~ spl23_21
| ~ spl23_25
| ~ spl23_52 ),
inference(subsumption_resolution,[],[f649,f653]) ).
fof(f649,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| g_true_only(sK19,X0)
| h_true_only(sK19,sK14(sK19))
| g_true_only(sK19,sK15(sK19)) )
| ~ spl23_7
| ~ spl23_52 ),
inference(resolution,[],[f528,f410]) ).
fof(f632,plain,
( spl23_52
| ~ spl23_4
| ~ spl23_21
| ~ spl23_27 ),
inference(avatar_split_clause,[],[f631,f275,f203,f133,f526]) ).
fof(f631,plain,
( h_both(sK19,sK11(sK19))
| ~ spl23_4
| ~ spl23_21
| ~ spl23_27 ),
inference(subsumption_resolution,[],[f629,f204]) ).
fof(f629,plain,
( h_both(sK19,sK11(sK19))
| h_true_only(sK19,sK11(sK19))
| ~ spl23_4
| ~ spl23_27 ),
inference(resolution,[],[f277,f338]) ).
fof(f338,plain,
( ! [X0,X1] :
( ~ g_true_only(X0,X1)
| h_true_only(X0,sK11(X0))
| h_both(X0,sK11(X0)) )
| ~ spl23_4 ),
inference(resolution,[],[f134,f80]) ).
fof(f628,plain,
( spl23_2
| ~ spl23_29 ),
inference(avatar_contradiction_clause,[],[f625]) ).
fof(f625,plain,
( $false
| spl23_2
| ~ spl23_29 ),
inference(resolution,[],[f283,f126]) ).
fof(f126,plain,
( ~ g_false_only(sK19,sK20)
| spl23_2 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl23_2
<=> g_false_only(sK19,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
fof(f613,plain,
( spl23_59
| ~ spl23_1
| ~ spl23_25
| ~ spl23_55
| ~ spl23_60 ),
inference(avatar_split_clause,[],[f611,f594,f542,f220,f121,f591]) ).
fof(f611,plain,
( ! [X0] : g_false_only(sK21,X0)
| ~ spl23_1
| ~ spl23_25
| ~ spl23_55
| ~ spl23_60 ),
inference(resolution,[],[f606,f543]) ).
fof(f606,plain,
( ! [X1] : ~ g_true_only(sK21,X1)
| ~ spl23_1
| ~ spl23_25
| ~ spl23_60 ),
inference(subsumption_resolution,[],[f603,f122]) ).
fof(f603,plain,
( ! [X1] :
( ~ g_true_only(sK21,X1)
| h_true_only(sK21,sK10(sK21)) )
| ~ spl23_25
| ~ spl23_60 ),
inference(resolution,[],[f596,f221]) ).
fof(f601,plain,
( spl23_16
| ~ spl23_59 ),
inference(avatar_contradiction_clause,[],[f598]) ).
fof(f598,plain,
( $false
| spl23_16
| ~ spl23_59 ),
inference(resolution,[],[f592,f183]) ).
fof(f592,plain,
( ! [X0] : g_false_only(sK21,X0)
| ~ spl23_59 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f597,plain,
( spl23_59
| spl23_60
| ~ spl23_1
| ~ spl23_4
| ~ spl23_55 ),
inference(avatar_split_clause,[],[f589,f542,f133,f121,f594,f591]) ).
fof(f589,plain,
( ! [X0] :
( h_both(sK21,sK11(sK21))
| g_false_only(sK21,X0) )
| ~ spl23_1
| ~ spl23_4
| ~ spl23_55 ),
inference(subsumption_resolution,[],[f587,f122]) ).
fof(f587,plain,
( ! [X0] :
( h_both(sK21,sK11(sK21))
| h_true_only(sK21,sK11(sK21))
| g_false_only(sK21,X0) )
| ~ spl23_4
| ~ spl23_55 ),
inference(resolution,[],[f543,f338]) ).
fof(f572,plain,
( ~ spl23_1
| ~ spl23_4
| ~ spl23_25
| ~ spl23_54 ),
inference(avatar_contradiction_clause,[],[f570]) ).
fof(f570,plain,
( $false
| ~ spl23_1
| ~ spl23_4
| ~ spl23_25
| ~ spl23_54 ),
inference(resolution,[],[f569,f540]) ).
fof(f569,plain,
( ! [X1] : ~ g_true_only(sK21,X1)
| ~ spl23_1
| ~ spl23_4
| ~ spl23_25
| ~ spl23_54 ),
inference(subsumption_resolution,[],[f566,f122]) ).
fof(f566,plain,
( ! [X1] :
( h_true_only(sK21,sK10(sK21))
| ~ g_true_only(sK21,X1) )
| ~ spl23_1
| ~ spl23_4
| ~ spl23_25
| ~ spl23_54 ),
inference(resolution,[],[f547,f221]) ).
fof(f547,plain,
( h_both(sK21,sK11(sK21))
| ~ spl23_1
| ~ spl23_4
| ~ spl23_54 ),
inference(subsumption_resolution,[],[f545,f122]) ).
fof(f545,plain,
( h_both(sK21,sK11(sK21))
| h_true_only(sK21,sK11(sK21))
| ~ spl23_4
| ~ spl23_54 ),
inference(resolution,[],[f540,f338]) ).
fof(f529,plain,
( spl23_29
| spl23_52
| ~ spl23_4
| ~ spl23_21
| ~ spl23_28 ),
inference(avatar_split_clause,[],[f524,f279,f203,f133,f526,f282]) ).
fof(f524,plain,
( ! [X0] :
( h_both(sK19,sK11(sK19))
| g_false_only(sK19,X0) )
| ~ spl23_4
| ~ spl23_21
| ~ spl23_28 ),
inference(subsumption_resolution,[],[f522,f204]) ).
fof(f522,plain,
( ! [X0] :
( g_false_only(sK19,X0)
| h_true_only(sK19,sK11(sK19))
| h_both(sK19,sK11(sK19)) )
| ~ spl23_4
| ~ spl23_28 ),
inference(resolution,[],[f280,f338]) ).
fof(f450,plain,
( ~ spl23_12
| ~ spl23_45 ),
inference(avatar_contradiction_clause,[],[f449]) ).
fof(f449,plain,
( $false
| ~ spl23_12
| ~ spl23_45 ),
inference(resolution,[],[f447,f166]) ).
fof(f166,plain,
( g_true_only(sK7,sK6)
| ~ spl23_12 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f164,plain,
( spl23_12
<=> g_true_only(sK7,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_12])]) ).
fof(f448,plain,
( spl23_44
| spl23_45
| ~ spl23_25
| ~ spl23_40 ),
inference(avatar_split_clause,[],[f438,f420,f220,f446,f442]) ).
fof(f438,plain,
( ! [X0] :
( ~ g_true_only(sK7,X0)
| h_true_only(sK7,sK10(sK7)) )
| ~ spl23_25
| ~ spl23_40 ),
inference(resolution,[],[f422,f221]) ).
fof(f422,plain,
( h_both(sK7,sK11(sK7))
| ~ spl23_40 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f408,plain,
( spl23_22
| ~ spl23_5
| ~ spl23_37 ),
inference(avatar_split_clause,[],[f407,f385,f137,f207]) ).
fof(f207,plain,
( spl23_22
<=> ! [X6] : h_false_only(sK16,X6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_22])]) ).
fof(f137,plain,
( spl23_5
<=> sP1(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_5])]) ).
fof(f385,plain,
( spl23_37
<=> h_true_only(sK16,sK10(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_37])]) ).
fof(f407,plain,
( ! [X0] : h_false_only(sK16,X0)
| ~ spl23_5
| ~ spl23_37 ),
inference(subsumption_resolution,[],[f405,f139]) ).
fof(f139,plain,
( sP1(sK16)
| ~ spl23_5 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f405,plain,
( ! [X0] :
( ~ sP1(sK16)
| h_false_only(sK16,X0) )
| ~ spl23_37 ),
inference(resolution,[],[f387,f92]) ).
fof(f92,plain,
! [X3,X0,X1] :
( ~ h_true_only(X0,X1)
| h_false_only(X0,X3)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ( ( ( ! [X1] : ~ h_true_only(X0,X1)
& h_both(X0,sK8(X0)) )
| ! [X3] : h_false_only(X0,X3) )
& g_true_only(X0,sK9(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f42,f44,f43]) ).
fof(f43,plain,
! [X0] :
( ? [X2] : h_both(X0,X2)
=> h_both(X0,sK8(X0)) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ? [X4] : g_true_only(X0,X4)
=> g_true_only(X0,sK9(X0)) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0] :
( ( ( ( ! [X1] : ~ h_true_only(X0,X1)
& ? [X2] : h_both(X0,X2) )
| ! [X3] : h_false_only(X0,X3) )
& ? [X4] : g_true_only(X0,X4) )
| ~ sP1(X0) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X9] :
( ( ( ( ! [X13] : ~ h_true_only(X9,X13)
& ? [X12] : h_both(X9,X12) )
| ! [X11] : h_false_only(X9,X11) )
& ? [X10] : g_true_only(X9,X10) )
| ~ sP1(X9) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X9] :
( ( ( ( ! [X13] : ~ h_true_only(X9,X13)
& ? [X12] : h_both(X9,X12) )
| ! [X11] : h_false_only(X9,X11) )
& ? [X10] : g_true_only(X9,X10) )
| ~ sP1(X9) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f387,plain,
( h_true_only(sK16,sK10(sK16))
| ~ spl23_37 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f388,plain,
( spl23_6
| spl23_37
| ~ spl23_25
| ~ spl23_34 ),
inference(avatar_split_clause,[],[f381,f361,f220,f385,f141]) ).
fof(f141,plain,
( spl23_6
<=> ! [X7] : ~ g_true_only(sK16,X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_6])]) ).
fof(f361,plain,
( spl23_34
<=> h_both(sK16,sK8(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_34])]) ).
fof(f381,plain,
( ! [X0] :
( h_true_only(sK16,sK10(sK16))
| ~ g_true_only(sK16,X0) )
| ~ spl23_25
| ~ spl23_34 ),
inference(resolution,[],[f363,f221]) ).
fof(f363,plain,
( h_both(sK16,sK8(sK16))
| ~ spl23_34 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f364,plain,
( spl23_22
| spl23_34
| ~ spl23_5 ),
inference(avatar_split_clause,[],[f354,f137,f361,f207]) ).
fof(f354,plain,
( ! [X0] :
( h_both(sK16,sK8(sK16))
| h_false_only(sK16,X0) )
| ~ spl23_5 ),
inference(resolution,[],[f139,f91]) ).
fof(f91,plain,
! [X3,X0] :
( ~ sP1(X0)
| h_both(X0,sK8(X0))
| h_false_only(X0,X3) ),
inference(cnf_transformation,[],[f45]) ).
fof(f359,plain,
( spl23_6
| ~ spl23_4
| ~ spl23_22 ),
inference(avatar_split_clause,[],[f339,f207,f133,f141]) ).
fof(f339,plain,
( ! [X2] : ~ g_true_only(sK16,X2)
| ~ spl23_4
| ~ spl23_22 ),
inference(resolution,[],[f134,f208]) ).
fof(f208,plain,
( ! [X6] : h_false_only(sK16,X6)
| ~ spl23_22 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f358,plain,
( spl23_6
| ~ spl23_20
| ~ spl23_22 ),
inference(avatar_split_clause,[],[f315,f207,f199,f141]) ).
fof(f315,plain,
( ! [X0] : ~ g_true_only(sK16,X0)
| ~ spl23_20
| ~ spl23_22 ),
inference(resolution,[],[f208,f200]) ).
fof(f357,plain,
( ~ spl23_5
| ~ spl23_6 ),
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f356,plain,
( $false
| ~ spl23_5
| ~ spl23_6 ),
inference(subsumption_resolution,[],[f355,f142]) ).
fof(f142,plain,
( ! [X7] : ~ g_true_only(sK16,X7)
| ~ spl23_6 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f355,plain,
( g_true_only(sK16,sK9(sK16))
| ~ spl23_5 ),
inference(resolution,[],[f139,f90]) ).
fof(f90,plain,
! [X0] :
( ~ sP1(X0)
| g_true_only(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f352,plain,
( ~ spl23_6
| ~ spl23_10
| ~ spl23_17
| ~ spl23_22 ),
inference(avatar_contradiction_clause,[],[f350]) ).
fof(f350,plain,
( $false
| ~ spl23_6
| ~ spl23_10
| ~ spl23_17
| ~ spl23_22 ),
inference(resolution,[],[f349,f188]) ).
fof(f188,plain,
( g_both(sK16,sK17)
| ~ spl23_17 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f186,plain,
( spl23_17
<=> g_both(sK16,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_17])]) ).
fof(f349,plain,
( ! [X2] : ~ g_both(sK16,X2)
| ~ spl23_6
| ~ spl23_10
| ~ spl23_22 ),
inference(subsumption_resolution,[],[f348,f142]) ).
fof(f348,plain,
( ! [X2] :
( g_true_only(sK16,sK13(sK16))
| ~ g_both(sK16,X2) )
| ~ spl23_10
| ~ spl23_22 ),
inference(resolution,[],[f157,f208]) ).
fof(f321,plain,
( ~ spl23_14
| ~ spl23_17
| ~ spl23_22 ),
inference(avatar_contradiction_clause,[],[f319]) ).
fof(f319,plain,
( $false
| ~ spl23_14
| ~ spl23_17
| ~ spl23_22 ),
inference(resolution,[],[f316,f188]) ).
fof(f316,plain,
( ! [X1] : ~ g_both(sK16,X1)
| ~ spl23_14
| ~ spl23_22 ),
inference(resolution,[],[f208,f174]) ).
fof(f302,plain,
( ~ spl23_12
| ~ spl23_18
| ~ spl23_19
| ~ spl23_20 ),
inference(avatar_contradiction_clause,[],[f301]) ).
fof(f301,plain,
( $false
| ~ spl23_12
| ~ spl23_18
| ~ spl23_19
| ~ spl23_20 ),
inference(resolution,[],[f299,f166]) ).
fof(f299,plain,
( ! [X0] : ~ g_true_only(sK7,X0)
| ~ spl23_18
| ~ spl23_19
| ~ spl23_20 ),
inference(subsumption_resolution,[],[f295,f192]) ).
fof(f295,plain,
( ! [X0] :
( ~ g_true_only(sK7,X0)
| h_both(sK7,sK18(X0,sK7)) )
| ~ spl23_19
| ~ spl23_20 ),
inference(resolution,[],[f196,f200]) ).
fof(f284,plain,
( spl23_27
| spl23_28
| spl23_29
| ~ spl23_7
| ~ spl23_14
| ~ spl23_18
| ~ spl23_20
| ~ spl23_21 ),
inference(avatar_split_clause,[],[f273,f203,f199,f191,f173,f144,f282,f279,f275]) ).
fof(f273,plain,
( ! [X0,X1] :
( g_false_only(sK19,X1)
| g_true_only(sK19,X0)
| g_true_only(sK19,sK15(sK19))
| g_false_only(sK19,X0) )
| ~ spl23_7
| ~ spl23_14
| ~ spl23_18
| ~ spl23_20
| ~ spl23_21 ),
inference(subsumption_resolution,[],[f268,f204]) ).
fof(f268,plain,
( ! [X0,X1] :
( h_true_only(sK19,sK14(sK19))
| g_false_only(sK19,X0)
| g_true_only(sK19,X0)
| g_false_only(sK19,X1)
| g_true_only(sK19,sK15(sK19)) )
| ~ spl23_7
| ~ spl23_14
| ~ spl23_18
| ~ spl23_20
| ~ spl23_21 ),
inference(resolution,[],[f260,f204]) ).
fof(f260,plain,
( ! [X2,X3,X4] :
( g_true_only(X2,X4)
| h_true_only(X2,sK18(X3,X2))
| g_false_only(X2,X3)
| g_false_only(X2,X4)
| g_true_only(X2,sK15(X2))
| h_true_only(X2,sK14(X2)) )
| ~ spl23_7
| ~ spl23_14
| ~ spl23_18
| ~ spl23_20 ),
inference(resolution,[],[f258,f253]) ).
fof(f253,plain,
( ! [X2,X0,X1] :
( ~ h_both(X0,X1)
| g_true_only(X0,X2)
| g_false_only(X0,X2)
| h_true_only(X0,sK14(X0))
| g_true_only(X0,sK15(X0)) )
| ~ spl23_7 ),
inference(resolution,[],[f145,f81]) ).
fof(f258,plain,
( ! [X0,X1] :
( h_both(X0,sK18(X1,X0))
| g_false_only(X0,X1)
| h_true_only(X0,sK18(X1,X0)) )
| ~ spl23_14
| ~ spl23_18
| ~ spl23_20 ),
inference(subsumption_resolution,[],[f257,f234]) ).
fof(f234,plain,
( ! [X0,X1] :
( ~ g_true_only(X0,X1)
| h_true_only(X0,sK18(X1,X0)) )
| ~ spl23_18
| ~ spl23_20 ),
inference(subsumption_resolution,[],[f230,f192]) ).
fof(f230,plain,
( ! [X0,X1] :
( h_both(X0,sK18(X1,X0))
| h_true_only(X0,sK18(X1,X0))
| ~ g_true_only(X0,X1) )
| ~ spl23_20 ),
inference(resolution,[],[f80,f200]) ).
fof(f257,plain,
( ! [X0,X1] :
( g_false_only(X0,X1)
| h_both(X0,sK18(X1,X0))
| h_true_only(X0,sK18(X1,X0))
| g_true_only(X0,X1) )
| ~ spl23_14 ),
inference(resolution,[],[f231,f81]) ).
fof(f231,plain,
( ! [X2,X3] :
( ~ g_both(X2,X3)
| h_both(X2,sK18(X3,X2))
| h_true_only(X2,sK18(X3,X2)) )
| ~ spl23_14 ),
inference(resolution,[],[f80,f174]) ).
fof(f251,plain,
( spl23_22
| ~ spl23_5
| ~ spl23_18
| ~ spl23_20 ),
inference(avatar_split_clause,[],[f250,f199,f191,f137,f207]) ).
fof(f250,plain,
( ! [X0] : h_false_only(sK16,X0)
| ~ spl23_5
| ~ spl23_18
| ~ spl23_20 ),
inference(subsumption_resolution,[],[f248,f139]) ).
fof(f248,plain,
( ! [X0] :
( h_false_only(sK16,X0)
| ~ sP1(sK16) )
| ~ spl23_5
| ~ spl23_18
| ~ spl23_20 ),
inference(resolution,[],[f246,f92]) ).
fof(f246,plain,
( h_true_only(sK16,sK18(sK9(sK16),sK16))
| ~ spl23_5
| ~ spl23_18
| ~ spl23_20 ),
inference(resolution,[],[f234,f228]) ).
fof(f228,plain,
( g_true_only(sK16,sK9(sK16))
| ~ spl23_5 ),
inference(resolution,[],[f90,f139]) ).
fof(f227,plain,
( ~ spl23_8
| spl23_26 ),
inference(avatar_split_clause,[],[f118,f225,f147]) ).
fof(f147,plain,
( spl23_8
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_8])]) ).
fof(f118,plain,
! [X2,X3,X0,X5] :
( h_false_only(X0,X2)
| g_false_only(X0,X3)
| ~ h_both(X0,X5)
| ~ g_both(X0,X3)
| h_true_only(X0,sK5(X0,X3))
| ~ sP3
| h_both(X0,X2) ),
inference(duplicate_literal_removal,[],[f85]) ).
fof(f85,plain,
! [X2,X3,X0,X5] :
( ~ sP3
| ~ h_both(X0,X5)
| h_false_only(X0,X2)
| ~ g_both(X0,X3)
| h_both(X0,X2)
| g_false_only(X0,X3)
| h_false_only(X0,X2)
| h_true_only(X0,sK5(X0,X3)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ! [X0] :
( ! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,sK4(X0)) )
| ( ( h_both(X0,X2)
| h_false_only(X0,X2) )
& g_true_only(X0,sK4(X0)) ) )
| ! [X3] :
( h_true_only(X0,sK5(X0,X3))
| g_false_only(X0,X3)
| ! [X5] :
( ~ g_both(X0,X3)
| ~ h_both(X0,X5) ) ) )
| ~ sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f33,f35,f34]) ).
fof(f34,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_both(X0,X2)
| h_false_only(X0,X2) )
& g_true_only(X0,X1) ) )
=> ! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,sK4(X0)) )
| ( ( h_both(X0,X2)
| h_false_only(X0,X2) )
& g_true_only(X0,sK4(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0,X3] :
( ? [X4] :
( h_true_only(X0,X4)
| g_false_only(X0,X3) )
=> ( h_true_only(X0,sK5(X0,X3))
| g_false_only(X0,X3) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
( ! [X0] :
( ? [X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_both(X0,X2)
| h_false_only(X0,X2) )
& g_true_only(X0,X1) ) )
| ! [X3] :
( ? [X4] :
( h_true_only(X0,X4)
| g_false_only(X0,X3) )
| ! [X5] :
( ~ g_both(X0,X3)
| ~ h_both(X0,X5) ) ) )
| ~ sP3 ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
( ! [X3] :
( ? [X7] :
! [X8] :
( ( h_false_only(X3,X8)
& g_both(X3,X7) )
| ( ( h_both(X3,X8)
| h_false_only(X3,X8) )
& g_true_only(X3,X7) ) )
| ! [X4] :
( ? [X6] :
( h_true_only(X3,X6)
| g_false_only(X3,X4) )
| ! [X5] :
( ~ g_both(X3,X4)
| ~ h_both(X3,X5) ) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
( ! [X3] :
( ? [X7] :
! [X8] :
( ( h_false_only(X3,X8)
& g_both(X3,X7) )
| ( ( h_both(X3,X8)
| h_false_only(X3,X8) )
& g_true_only(X3,X7) ) )
| ! [X4] :
( ? [X6] :
( h_true_only(X3,X6)
| g_false_only(X3,X4) )
| ! [X5] :
( ~ g_both(X3,X4)
| ~ h_both(X3,X5) ) ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f223,plain,
( spl23_21
| spl23_1 ),
inference(avatar_split_clause,[],[f99,f121,f203]) ).
fof(f99,plain,
! [X16,X14] :
( ~ h_true_only(sK21,X16)
| ~ h_true_only(sK19,X14) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( ! [X0] :
( ! [X1] : ~ h_both(X0,X1)
| h_true_only(X0,sK14(X0))
| g_true_only(X0,sK15(X0))
| ! [X4] : ~ g_both(X0,X4) )
| ( ! [X6] : h_false_only(sK16,X6)
& ! [X7] : ~ g_true_only(sK16,X7)
& g_both(sK16,sK17) )
| sP1(sK16)
| sP3
| sP2 )
& ( ! [X9,X10] :
( ( ~ h_false_only(X10,sK18(X9,X10))
| ~ g_both(X10,X9) )
& ( ( ~ h_both(X10,sK18(X9,X10))
& ~ h_false_only(X10,sK18(X9,X10)) )
| ~ g_true_only(X10,X9) ) )
| 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])],[f53,f61,f60,f59,f58,f57,f56,f55,f54]) ).
fof(f54,plain,
! [X0] :
( ? [X2] : h_true_only(X0,X2)
=> h_true_only(X0,sK14(X0)) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0] :
( ? [X3] : g_true_only(X0,X3)
=> g_true_only(X0,sK15(X0)) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ? [X5] :
( ( ! [X6] : h_false_only(X5,X6)
& ! [X7] : ~ g_true_only(X5,X7)
& ? [X8] : g_both(X5,X8) )
| sP1(X5) )
=> ( ( ! [X6] : h_false_only(sK16,X6)
& ! [X7] : ~ g_true_only(sK16,X7)
& ? [X8] : g_both(sK16,X8) )
| sP1(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
( ? [X8] : g_both(sK16,X8)
=> g_both(sK16,sK17) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X9,X10] :
( ? [X11] :
( ( ~ h_false_only(X10,X11)
| ~ g_both(X10,X9) )
& ( ( ~ h_both(X10,X11)
& ~ h_false_only(X10,X11) )
| ~ g_true_only(X10,X9) ) )
=> ( ( ~ h_false_only(X10,sK18(X9,X10))
| ~ g_both(X10,X9) )
& ( ( ~ h_both(X10,sK18(X9,X10))
& ~ h_false_only(X10,sK18(X9,X10)) )
| ~ g_true_only(X10,X9) ) ) ),
introduced(choice_axiom,[]) ).
fof(f59,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(f60,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(f61,plain,
( ? [X17] : ~ g_false_only(sK21,X17)
=> ~ g_false_only(sK21,sK22) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
( ( ! [X0] :
( ! [X1] : ~ h_both(X0,X1)
| ? [X2] : h_true_only(X0,X2)
| ? [X3] : g_true_only(X0,X3)
| ! [X4] : ~ g_both(X0,X4) )
| ? [X5] :
( ( ! [X6] : h_false_only(X5,X6)
& ! [X7] : ~ g_true_only(X5,X7)
& ? [X8] : g_both(X5,X8) )
| sP1(X5) )
| sP3
| sP2 )
& ( ! [X9,X10] :
? [X11] :
( ( ~ h_false_only(X10,X11)
| ~ g_both(X10,X9) )
& ( ( ~ h_both(X10,X11)
& ~ h_false_only(X10,X11) )
| ~ g_true_only(X10,X9) ) )
| 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,
( ( ! [X17] :
( ! [X21] : ~ h_both(X17,X21)
| ? [X18] : h_true_only(X17,X18)
| ? [X20] : g_true_only(X17,X20)
| ! [X19] : ~ g_both(X17,X19) )
| ? [X9] :
( ( ! [X16] : h_false_only(X9,X16)
& ! [X14] : ~ g_true_only(X9,X14)
& ? [X15] : g_both(X9,X15) )
| sP1(X9) )
| sP3
| sP2 )
& ( ! [X22,X23] :
? [X24] :
( ( ~ h_false_only(X23,X24)
| ~ g_both(X23,X22) )
& ( ( ~ h_both(X23,X24)
& ~ h_false_only(X23,X24) )
| ~ g_true_only(X23,X22) ) )
| sP0 )
& ( ? [X34,X33] :
! [X35] :
( ~ h_true_only(X34,X35)
& ~ g_false_only(X34,X33) )
| ? [X36] :
( ! [X38] : ~ h_true_only(X36,X38)
& ? [X37] : ~ g_false_only(X36,X37) ) ) ),
inference(definition_folding,[],[f20,f24,f23,f22,f21]) ).
fof(f21,plain,
( ! [X25] :
( ( ( ( ! [X28] : ~ h_both(X25,X28)
| ? [X27] : h_true_only(X25,X27) )
& ? [X26] : ~ h_false_only(X25,X26) )
| ! [X29] : ~ g_true_only(X25,X29) )
& ( ? [X31] : ~ h_false_only(X25,X31)
| ! [X30] : ~ g_both(X25,X30)
| ? [X32] : g_true_only(X25,X32) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f23,plain,
( ? [X1,X0] :
! [X2] :
( ( ( h_both(X0,X2)
| h_false_only(X0,X2) )
& g_true_only(X0,X1) )
| ( h_false_only(X0,X2)
& g_both(X0,X1) ) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f20,plain,
( ( ! [X17] :
( ! [X21] : ~ h_both(X17,X21)
| ? [X18] : h_true_only(X17,X18)
| ? [X20] : g_true_only(X17,X20)
| ! [X19] : ~ g_both(X17,X19) )
| ? [X9] :
( ( ! [X16] : h_false_only(X9,X16)
& ! [X14] : ~ g_true_only(X9,X14)
& ? [X15] : g_both(X9,X15) )
| ( ( ( ! [X13] : ~ h_true_only(X9,X13)
& ? [X12] : h_both(X9,X12) )
| ! [X11] : h_false_only(X9,X11) )
& ? [X10] : g_true_only(X9,X10) ) )
| ! [X3] :
( ? [X7] :
! [X8] :
( ( h_false_only(X3,X8)
& g_both(X3,X7) )
| ( ( h_both(X3,X8)
| h_false_only(X3,X8) )
& g_true_only(X3,X7) ) )
| ! [X4] :
( ? [X6] :
( h_true_only(X3,X6)
| g_false_only(X3,X4) )
| ! [X5] :
( ~ g_both(X3,X4)
| ~ h_both(X3,X5) ) ) )
| ? [X1,X0] :
! [X2] :
( ( ( h_both(X0,X2)
| h_false_only(X0,X2) )
& g_true_only(X0,X1) )
| ( h_false_only(X0,X2)
& g_both(X0,X1) ) ) )
& ( ! [X22,X23] :
? [X24] :
( ( ~ h_false_only(X23,X24)
| ~ g_both(X23,X22) )
& ( ( ~ h_both(X23,X24)
& ~ h_false_only(X23,X24) )
| ~ g_true_only(X23,X22) ) )
| ! [X25] :
( ( ( ( ! [X28] : ~ h_both(X25,X28)
| ? [X27] : h_true_only(X25,X27) )
& ? [X26] : ~ h_false_only(X25,X26) )
| ! [X29] : ~ g_true_only(X25,X29) )
& ( ? [X31] : ~ h_false_only(X25,X31)
| ! [X30] : ~ g_both(X25,X30)
| ? [X32] : g_true_only(X25,X32) ) ) )
& ( ? [X34,X33] :
! [X35] :
( ~ h_true_only(X34,X35)
& ~ g_false_only(X34,X33) )
| ? [X36] :
( ! [X38] : ~ h_true_only(X36,X38)
& ? [X37] : ~ g_false_only(X36,X37) ) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
~ ( ( ! [X33,X34] :
? [X35] :
( g_false_only(X34,X33)
| h_true_only(X34,X35) )
& ! [X36] :
( ! [X37] : g_false_only(X36,X37)
| ? [X38] : h_true_only(X36,X38) ) )
| ( ? [X23,X22] :
! [X24] :
( ( g_true_only(X23,X22)
& ( h_both(X23,X24)
| h_false_only(X23,X24) ) )
| ( g_both(X23,X22)
& h_false_only(X23,X24) ) )
& ? [X25] :
( ( ( ( ~ ? [X27] : h_true_only(X25,X27)
& ? [X28] : h_both(X25,X28) )
| ! [X26] : h_false_only(X25,X26) )
& ? [X29] : g_true_only(X25,X29) )
| ( ~ ? [X32] : g_true_only(X25,X32)
& ? [X30] : g_both(X25,X30)
& ! [X31] : h_false_only(X25,X31) ) ) )
| ( ? [X17] :
( ? [X21] : h_both(X17,X21)
& ~ ? [X18] : h_true_only(X17,X18)
& ~ ? [X20] : g_true_only(X17,X20)
& ? [X19] : g_both(X17,X19) )
& ? [X3] :
( ~ ? [X7] :
! [X8] :
( ( h_false_only(X3,X8)
& g_both(X3,X7) )
| ( ( h_both(X3,X8)
| h_false_only(X3,X8) )
& g_true_only(X3,X7) ) )
& ? [X4] :
( ? [X5] :
( g_both(X3,X4)
& h_both(X3,X5) )
& ~ ? [X6] :
( h_true_only(X3,X6)
| g_false_only(X3,X4) ) ) )
& ~ ? [X9] :
( ( ! [X16] : h_false_only(X9,X16)
& ~ ? [X14] : g_true_only(X9,X14)
& ? [X15] : g_both(X9,X15) )
| ( ? [X10] : g_true_only(X9,X10)
& ( ( ? [X12] : h_both(X9,X12)
& ~ ? [X13] : h_true_only(X9,X13) )
| ! [X11] : h_false_only(X9,X11) ) ) )
& ~ ? [X1,X0] :
! [X2] :
( ( ( h_both(X0,X2)
| h_false_only(X0,X2) )
& g_true_only(X0,X1) )
| ( h_false_only(X0,X2)
& g_both(X0,X1) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ~ ? [X1,X0] :
! [X2] :
( ( ( h_both(X0,X2)
| h_false_only(X0,X2) )
& g_true_only(X0,X1) )
| ( h_false_only(X0,X2)
& g_both(X0,X1) ) )
& ? [X0] :
( ? [X1] :
( ? [X2] :
( h_both(X0,X2)
& g_both(X0,X1) )
& ~ ? [X2] :
( h_true_only(X0,X2)
| g_false_only(X0,X1) ) )
& ~ ? [X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( g_true_only(X0,X1)
& ( h_both(X0,X2)
| h_false_only(X0,X2) ) ) ) )
& ~ ? [X0] :
( ( ? [X1] : g_true_only(X0,X1)
& ( ! [X1] : h_false_only(X0,X1)
| ( ? [X1] : h_both(X0,X1)
& ~ ? [X1] : h_true_only(X0,X1) ) ) )
| ( ~ ? [X1] : g_true_only(X0,X1)
& ? [X1] : g_both(X0,X1)
& ! [X1] : h_false_only(X0,X1) ) )
& ? [X0] :
( ~ ? [X1] : h_true_only(X0,X1)
& ? [X1] : g_both(X0,X1)
& ~ ? [X1] : g_true_only(X0,X1)
& ? [X1] : h_both(X0,X1) ) )
| ( ? [X1,X0] :
! [X2] :
( ( ( h_both(X0,X2)
| h_false_only(X0,X2) )
& g_true_only(X0,X1) )
| ( h_false_only(X0,X2)
& g_both(X0,X1) ) )
& ? [X0] :
( ( ( ! [X1] : h_false_only(X0,X1)
| ( ~ ? [X1] : h_true_only(X0,X1)
& ? [X1] : h_both(X0,X1) ) )
& ? [X1] : g_true_only(X0,X1) )
| ( ? [X1] : g_both(X0,X1)
& ! [X1] : h_false_only(X0,X1)
& ~ ? [X1] : g_true_only(X0,X1) ) ) )
| ( ! [X1,X0] :
? [X2] :
( h_true_only(X0,X2)
| g_false_only(X0,X1) )
& ! [X0] :
( ! [X1] : g_false_only(X0,X1)
| ? [X1] : h_true_only(X0,X1) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ~ ? [X1,X0] :
! [X2] :
( ( ( h_both(X0,X2)
| h_false_only(X0,X2) )
& g_true_only(X0,X1) )
| ( h_false_only(X0,X2)
& g_both(X0,X1) ) )
& ? [X0] :
( ? [X1] :
( ? [X2] :
( h_both(X0,X2)
& g_both(X0,X1) )
& ~ ? [X2] :
( h_true_only(X0,X2)
| g_false_only(X0,X1) ) )
& ~ ? [X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( g_true_only(X0,X1)
& ( h_both(X0,X2)
| h_false_only(X0,X2) ) ) ) )
& ~ ? [X0] :
( ( ? [X1] : g_true_only(X0,X1)
& ( ! [X1] : h_false_only(X0,X1)
| ( ? [X1] : h_both(X0,X1)
& ~ ? [X1] : h_true_only(X0,X1) ) ) )
| ( ~ ? [X1] : g_true_only(X0,X1)
& ? [X1] : g_both(X0,X1)
& ! [X1] : h_false_only(X0,X1) ) )
& ? [X0] :
( ~ ? [X1] : h_true_only(X0,X1)
& ? [X1] : g_both(X0,X1)
& ~ ? [X1] : g_true_only(X0,X1)
& ? [X1] : h_both(X0,X1) ) )
| ( ? [X1,X0] :
! [X2] :
( ( ( h_both(X0,X2)
| h_false_only(X0,X2) )
& g_true_only(X0,X1) )
| ( h_false_only(X0,X2)
& g_both(X0,X1) ) )
& ? [X0] :
( ( ( ! [X1] : h_false_only(X0,X1)
| ( ~ ? [X1] : h_true_only(X0,X1)
& ? [X1] : h_both(X0,X1) ) )
& ? [X1] : g_true_only(X0,X1) )
| ( ? [X1] : g_both(X0,X1)
& ! [X1] : h_false_only(X0,X1)
& ~ ? [X1] : g_true_only(X0,X1) ) ) )
| ( ! [X1,X0] :
? [X2] :
( h_true_only(X0,X2)
| g_false_only(X0,X1) )
& ! [X0] :
( ! [X1] : g_false_only(X0,X1)
| ? [X1] : h_true_only(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc5) ).
fof(f222,plain,
( spl23_25
| ~ spl23_3 ),
inference(avatar_split_clause,[],[f95,f129,f220]) ).
fof(f129,plain,
( spl23_3
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).
fof(f95,plain,
! [X0,X1,X4] :
( ~ sP0
| ~ h_both(X0,X1)
| ~ g_true_only(X0,X4)
| h_true_only(X0,sK10(X0)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ! [X0] :
( ( ( ( ! [X1] : ~ h_both(X0,X1)
| h_true_only(X0,sK10(X0)) )
& ~ h_false_only(X0,sK11(X0)) )
| ! [X4] : ~ g_true_only(X0,X4) )
& ( ~ h_false_only(X0,sK12(X0))
| ! [X6] : ~ g_both(X0,X6)
| g_true_only(X0,sK13(X0)) ) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f47,f51,f50,f49,f48]) ).
fof(f48,plain,
! [X0] :
( ? [X2] : h_true_only(X0,X2)
=> h_true_only(X0,sK10(X0)) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0] :
( ? [X3] : ~ h_false_only(X0,X3)
=> ~ h_false_only(X0,sK11(X0)) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0] :
( ? [X5] : ~ h_false_only(X0,X5)
=> ~ h_false_only(X0,sK12(X0)) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0] :
( ? [X7] : g_true_only(X0,X7)
=> g_true_only(X0,sK13(X0)) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
( ! [X0] :
( ( ( ( ! [X1] : ~ h_both(X0,X1)
| ? [X2] : h_true_only(X0,X2) )
& ? [X3] : ~ h_false_only(X0,X3) )
| ! [X4] : ~ g_true_only(X0,X4) )
& ( ? [X5] : ~ h_false_only(X0,X5)
| ! [X6] : ~ g_both(X0,X6)
| ? [X7] : g_true_only(X0,X7) ) )
| ~ sP0 ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
( ! [X25] :
( ( ( ( ! [X28] : ~ h_both(X25,X28)
| ? [X27] : h_true_only(X25,X27) )
& ? [X26] : ~ h_false_only(X25,X26) )
| ! [X29] : ~ g_true_only(X25,X29) )
& ( ? [X31] : ~ h_false_only(X25,X31)
| ! [X30] : ~ g_both(X25,X30)
| ? [X32] : g_true_only(X25,X32) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f218,plain,
( ~ spl23_8
| spl23_24 ),
inference(avatar_split_clause,[],[f84,f216,f147]) ).
fof(f84,plain,
! [X2,X3,X0,X5] :
( g_true_only(X0,sK4(X0))
| g_false_only(X0,X3)
| h_false_only(X0,X2)
| ~ h_both(X0,X5)
| h_true_only(X0,sK5(X0,X3))
| ~ g_both(X0,X3)
| ~ sP3 ),
inference(cnf_transformation,[],[f36]) ).
fof(f210,plain,
( spl23_19
| ~ spl23_9 ),
inference(avatar_split_clause,[],[f119,f151,f195]) ).
fof(f151,plain,
( spl23_9
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_9])]) ).
fof(f119,plain,
! [X2] :
( ~ sP2
| h_false_only(sK7,X2)
| h_both(sK7,X2) ),
inference(duplicate_literal_removal,[],[f89]) ).
fof(f89,plain,
! [X2] :
( h_both(sK7,X2)
| h_false_only(sK7,X2)
| ~ sP2
| h_false_only(sK7,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ! [X2] :
( ( ( h_both(sK7,X2)
| h_false_only(sK7,X2) )
& g_true_only(sK7,sK6) )
| ( h_false_only(sK7,X2)
& g_both(sK7,sK6) ) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f38,f39]) ).
fof(f39,plain,
( ? [X0,X1] :
! [X2] :
( ( ( h_both(X1,X2)
| h_false_only(X1,X2) )
& g_true_only(X1,X0) )
| ( h_false_only(X1,X2)
& g_both(X1,X0) ) )
=> ! [X2] :
( ( ( h_both(sK7,X2)
| h_false_only(sK7,X2) )
& g_true_only(sK7,sK6) )
| ( h_false_only(sK7,X2)
& g_both(sK7,sK6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
( ? [X0,X1] :
! [X2] :
( ( ( h_both(X1,X2)
| h_false_only(X1,X2) )
& g_true_only(X1,X0) )
| ( h_false_only(X1,X2)
& g_both(X1,X0) ) )
| ~ sP2 ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
( ? [X1,X0] :
! [X2] :
( ( ( h_both(X0,X2)
| h_false_only(X0,X2) )
& g_true_only(X0,X1) )
| ( h_false_only(X0,X2)
& g_both(X0,X1) ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f209,plain,
( spl23_9
| spl23_22
| spl23_8
| spl23_7
| spl23_5 ),
inference(avatar_split_clause,[],[f105,f137,f144,f147,f207,f151]) ).
fof(f105,plain,
! [X0,X1,X6,X4] :
( sP1(sK16)
| ~ h_both(X0,X1)
| sP3
| ~ g_both(X0,X4)
| h_true_only(X0,sK14(X0))
| h_false_only(sK16,X6)
| g_true_only(X0,sK15(X0))
| sP2 ),
inference(cnf_transformation,[],[f62]) ).
fof(f205,plain,
( ~ spl23_16
| spl23_21 ),
inference(avatar_split_clause,[],[f98,f203,f181]) ).
fof(f98,plain,
! [X14] :
( ~ h_true_only(sK19,X14)
| ~ g_false_only(sK21,sK22) ),
inference(cnf_transformation,[],[f62]) ).
fof(f201,plain,
( spl23_3
| spl23_20 ),
inference(avatar_split_clause,[],[f100,f199,f129]) ).
fof(f100,plain,
! [X10,X9] :
( ~ g_true_only(X10,X9)
| ~ h_false_only(X10,sK18(X9,X10))
| sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f193,plain,
( spl23_3
| spl23_18 ),
inference(avatar_split_clause,[],[f101,f191,f129]) ).
fof(f101,plain,
! [X10,X9] :
( ~ h_both(X10,sK18(X9,X10))
| ~ g_true_only(X10,X9)
| sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f189,plain,
( spl23_8
| spl23_5
| spl23_9
| spl23_17
| spl23_7 ),
inference(avatar_split_clause,[],[f103,f144,f186,f151,f137,f147]) ).
fof(f103,plain,
! [X0,X1,X4] :
( g_true_only(X0,sK15(X0))
| ~ h_both(X0,X1)
| g_both(sK16,sK17)
| ~ g_both(X0,X4)
| h_true_only(X0,sK14(X0))
| sP2
| sP1(sK16)
| sP3 ),
inference(cnf_transformation,[],[f62]) ).
fof(f184,plain,
( ~ spl23_2
| ~ spl23_16 ),
inference(avatar_split_clause,[],[f96,f181,f124]) ).
fof(f96,plain,
( ~ g_false_only(sK21,sK22)
| ~ g_false_only(sK19,sK20) ),
inference(cnf_transformation,[],[f62]) ).
fof(f179,plain,
( ~ spl23_9
| spl23_12
| spl23_15 ),
inference(avatar_split_clause,[],[f87,f177,f164,f151]) ).
fof(f87,plain,
! [X2] :
( h_false_only(sK7,X2)
| g_true_only(sK7,sK6)
| ~ sP2 ),
inference(cnf_transformation,[],[f40]) ).
fof(f175,plain,
( spl23_3
| spl23_14 ),
inference(avatar_split_clause,[],[f102,f173,f129]) ).
fof(f102,plain,
! [X10,X9] :
( ~ h_false_only(X10,sK18(X9,X10))
| sP0
| ~ g_both(X10,X9) ),
inference(cnf_transformation,[],[f62]) ).
fof(f167,plain,
( ~ spl23_9
| spl23_11
| spl23_12 ),
inference(avatar_split_clause,[],[f86,f164,f160,f151]) ).
fof(f86,plain,
( g_true_only(sK7,sK6)
| g_both(sK7,sK6)
| ~ sP2 ),
inference(cnf_transformation,[],[f40]) ).
fof(f158,plain,
( ~ spl23_3
| spl23_10 ),
inference(avatar_split_clause,[],[f93,f156,f129]) ).
fof(f93,plain,
! [X0,X6] :
( ~ g_both(X0,X6)
| ~ sP0
| ~ h_false_only(X0,sK12(X0))
| g_true_only(X0,sK13(X0)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f154,plain,
( spl23_5
| spl23_6
| spl23_7
| spl23_8
| spl23_9 ),
inference(avatar_split_clause,[],[f104,f151,f147,f144,f141,f137]) ).
fof(f104,plain,
! [X0,X1,X7,X4] :
( sP2
| sP3
| h_true_only(X0,sK14(X0))
| ~ g_both(X0,X4)
| g_true_only(X0,sK15(X0))
| ~ g_true_only(sK16,X7)
| sP1(sK16)
| ~ h_both(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f135,plain,
( ~ spl23_3
| spl23_4 ),
inference(avatar_split_clause,[],[f94,f133,f129]) ).
fof(f94,plain,
! [X0,X4] :
( ~ g_true_only(X0,X4)
| ~ sP0
| ~ h_false_only(X0,sK11(X0)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f127,plain,
( spl23_1
| ~ spl23_2 ),
inference(avatar_split_clause,[],[f97,f124,f121]) ).
fof(f97,plain,
! [X16] :
( ~ g_false_only(sK19,sK20)
| ~ h_true_only(sK21,X16) ),
inference(cnf_transformation,[],[f62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO606+1 : TPTP v8.1.0. Released v7.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 23:18:59 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (30456)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.51 % (30480)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.52 % (30464)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (30462)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52 % (30460)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (30469)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.52 % (30483)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.52 % (30462)Instruction limit reached!
% 0.21/0.52 % (30462)------------------------------
% 0.21/0.52 % (30462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (30462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (30462)Termination reason: Unknown
% 0.21/0.53 % (30462)Termination phase: Preprocessing 3
% 0.21/0.53
% 0.21/0.53 % (30462)Memory used [KB]: 895
% 0.21/0.53 % (30462)Time elapsed: 0.003 s
% 0.21/0.53 % (30462)Instructions burned: 2 (million)
% 0.21/0.53 % (30462)------------------------------
% 0.21/0.53 % (30462)------------------------------
% 0.21/0.53 % (30455)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (30476)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.53 % (30454)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.53 % (30477)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.53 TRYING [1]
% 0.21/0.53 TRYING [1]
% 0.21/0.53 TRYING [2]
% 0.21/0.54 TRYING [2]
% 0.21/0.54 % (30470)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (30481)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.54 TRYING [3]
% 0.21/0.54 % (30457)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (30461)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54 % (30458)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (30468)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.54 % (30459)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.54 % (30463)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (30478)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.54 % (30465)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54 TRYING [3]
% 0.21/0.55 % (30482)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.55 % (30456)Instruction limit reached!
% 0.21/0.55 % (30456)------------------------------
% 0.21/0.55 % (30456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (30455)Refutation not found, incomplete strategy% (30455)------------------------------
% 0.21/0.55 % (30455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (30455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (30455)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55
% 0.21/0.55 % (30455)Memory used [KB]: 5500
% 0.21/0.55 % (30455)Time elapsed: 0.145 s
% 0.21/0.55 % (30455)Instructions burned: 3 (million)
% 0.21/0.55 % (30455)------------------------------
% 0.21/0.55 % (30455)------------------------------
% 0.21/0.55 % (30461)Instruction limit reached!
% 0.21/0.55 % (30461)------------------------------
% 0.21/0.55 % (30461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (30461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (30461)Termination reason: Unknown
% 0.21/0.55 % (30461)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (30461)Memory used [KB]: 5628
% 0.21/0.55 % (30461)Time elapsed: 0.115 s
% 0.21/0.55 % (30461)Instructions burned: 8 (million)
% 0.21/0.55 % (30461)------------------------------
% 0.21/0.55 % (30461)------------------------------
% 0.21/0.55 % (30472)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 % (30473)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 % (30479)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.56 % (30474)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.56 % (30471)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.56 TRYING [1]
% 0.21/0.56 % (30456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (30456)Termination reason: Unknown
% 0.21/0.56 % (30456)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (30456)Memory used [KB]: 1151
% 0.21/0.56 % (30456)Time elapsed: 0.147 s
% 0.21/0.56 % (30456)Instructions burned: 37 (million)
% 0.21/0.56 % (30456)------------------------------
% 0.21/0.56 % (30456)------------------------------
% 0.21/0.56 % (30466)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.57 TRYING [4]
% 0.21/0.58 TRYING [4]
% 0.21/0.58 % (30467)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.58 TRYING [2]
% 0.21/0.58 % (30475)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.58 TRYING [3]
% 0.21/0.58 % (30460)Instruction limit reached!
% 0.21/0.58 % (30460)------------------------------
% 0.21/0.58 % (30460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (30460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (30460)Termination reason: Unknown
% 0.21/0.58 % (30460)Termination phase: Finite model building SAT solving
% 0.21/0.58
% 0.21/0.58 % (30460)Memory used [KB]: 6268
% 0.21/0.58 % (30460)Time elapsed: 0.180 s
% 0.21/0.58 % (30460)Instructions burned: 51 (million)
% 0.21/0.58 % (30460)------------------------------
% 0.21/0.58 % (30460)------------------------------
% 1.92/0.60 % (30464)Instruction limit reached!
% 1.92/0.60 % (30464)------------------------------
% 1.92/0.60 % (30464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.61 % (30480)Instruction limit reached!
% 1.92/0.61 % (30480)------------------------------
% 1.92/0.61 % (30480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.61 % (30464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.61 % (30464)Termination reason: Unknown
% 1.92/0.61 % (30464)Termination phase: Saturation
% 1.92/0.61
% 1.92/0.61 % (30464)Memory used [KB]: 6396
% 1.92/0.61 % (30464)Time elapsed: 0.206 s
% 1.92/0.61 % (30464)Instructions burned: 50 (million)
% 1.92/0.61 % (30464)------------------------------
% 1.92/0.61 % (30464)------------------------------
% 1.92/0.61 % (30480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.61 % (30480)Termination reason: Unknown
% 1.92/0.61 % (30480)Termination phase: Saturation
% 1.92/0.61
% 1.92/0.61 % (30480)Memory used [KB]: 6140
% 1.92/0.61 % (30480)Time elapsed: 0.032 s
% 1.92/0.61 % (30480)Instructions burned: 68 (million)
% 1.92/0.61 % (30480)------------------------------
% 1.92/0.61 % (30480)------------------------------
% 1.92/0.61 TRYING [4]
% 1.92/0.62 % (30463)Instruction limit reached!
% 1.92/0.62 % (30463)------------------------------
% 1.92/0.62 % (30463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.62 % (30463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.62 % (30463)Termination reason: Unknown
% 1.92/0.62 % (30463)Termination phase: Saturation
% 1.92/0.62
% 1.92/0.62 % (30463)Memory used [KB]: 1407
% 1.92/0.62 % (30463)Time elapsed: 0.220 s
% 1.92/0.62 % (30463)Instructions burned: 52 (million)
% 1.92/0.62 % (30463)------------------------------
% 1.92/0.62 % (30463)------------------------------
% 1.92/0.62 TRYING [5]
% 2.10/0.63 % (30458)First to succeed.
% 2.10/0.63 % (30468)Instruction limit reached!
% 2.10/0.63 % (30468)------------------------------
% 2.10/0.63 % (30468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.63 % (30468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.63 % (30468)Termination reason: Unknown
% 2.10/0.63 % (30468)Termination phase: Saturation
% 2.10/0.63
% 2.10/0.63 % (30468)Memory used [KB]: 6012
% 2.10/0.63 % (30468)Time elapsed: 0.029 s
% 2.10/0.63 % (30468)Instructions burned: 68 (million)
% 2.10/0.63 % (30468)------------------------------
% 2.10/0.63 % (30468)------------------------------
% 2.10/0.63 % (30457)Instruction limit reached!
% 2.10/0.63 % (30457)------------------------------
% 2.10/0.63 % (30457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.64 % (30471)Instruction limit reached!
% 2.10/0.64 % (30471)------------------------------
% 2.10/0.64 % (30471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.64 % (30457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.64 % (30457)Termination reason: Unknown
% 2.10/0.64 % (30457)Termination phase: Saturation
% 2.10/0.64
% 2.10/0.64 % (30457)Memory used [KB]: 6268
% 2.10/0.64 % (30457)Time elapsed: 0.236 s
% 2.10/0.64 % (30457)Instructions burned: 52 (million)
% 2.10/0.64 % (30457)------------------------------
% 2.10/0.64 % (30457)------------------------------
% 2.10/0.64 % (30486)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.10/0.64 % (30471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.64 % (30471)Termination reason: Unknown
% 2.10/0.64 % (30471)Termination phase: Finite model building SAT solving
% 2.10/0.64
% 2.10/0.64 % (30471)Memory used [KB]: 6396
% 2.10/0.64 % (30471)Time elapsed: 0.226 s
% 2.10/0.64 % (30471)Instructions burned: 61 (million)
% 2.10/0.64 % (30471)------------------------------
% 2.10/0.64 % (30471)------------------------------
% 2.30/0.66 % (30459)Also succeeded, but the first one will report.
% 2.30/0.66 % (30458)Refutation found. Thanks to Tanya!
% 2.30/0.66 % SZS status Theorem for theBenchmark
% 2.30/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.30/0.66 % (30458)------------------------------
% 2.30/0.66 % (30458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.66 % (30458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.66 % (30458)Termination reason: Refutation
% 2.30/0.66
% 2.30/0.66 % (30458)Memory used [KB]: 6524
% 2.30/0.66 % (30458)Time elapsed: 0.237 s
% 2.30/0.66 % (30458)Instructions burned: 48 (million)
% 2.30/0.66 % (30458)------------------------------
% 2.30/0.66 % (30458)------------------------------
% 2.30/0.66 % (30453)Success in time 0.299 s
%------------------------------------------------------------------------------