TSTP Solution File: SYN917+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN917+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n020.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 19:46:06 EDT 2022
% Result : Theorem 0.22s 0.52s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 117
% Syntax : Number of formulae : 459 ( 1 unt; 0 def)
% Number of atoms : 2349 ( 0 equ)
% Maximal formula atoms : 94 ( 5 avg)
% Number of connectives : 2840 ( 950 ~;1216 |; 409 &)
% ( 98 <=>; 137 =>; 0 <=; 30 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 95 ( 94 usr; 89 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 29 con; 0-1 aty)
% Number of variables : 680 ( 442 !; 238 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f703,plain,
$false,
inference(avatar_sat_refutation,[],[f249,f267,f288,f302,f311,f326,f338,f347,f348,f362,f375,f383,f388,f419,f425,f429,f433,f438,f440,f442,f446,f447,f449,f454,f463,f467,f473,f490,f491,f492,f493,f498,f499,f508,f509,f510,f515,f516,f518,f523,f527,f537,f538,f543,f544,f546,f547,f553,f555,f557,f559,f560,f561,f562,f563,f568,f575,f576,f577,f578,f579,f580,f585,f586,f588,f590,f592,f594,f600,f604,f611,f613,f615,f617,f619,f621,f626,f630,f632,f635,f639,f641,f643,f645,f647,f649,f654,f660,f662,f664,f666,f668,f670,f672,f674,f676,f692,f698,f700,f702]) ).
fof(f702,plain,
( ~ spl49_15
| ~ spl49_17 ),
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f701,plain,
( $false
| ~ spl49_15
| ~ spl49_17 ),
inference(subsumption_resolution,[],[f292,f300]) ).
fof(f300,plain,
( ! [X0] : ~ p(X0)
| ~ spl49_17 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f299,plain,
( spl49_17
<=> ! [X0] : ~ p(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_17])]) ).
fof(f292,plain,
( p(sK39)
| ~ spl49_15 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f290,plain,
( spl49_15
<=> p(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_15])]) ).
fof(f700,plain,
( ~ spl49_1
| ~ spl49_17 ),
inference(avatar_contradiction_clause,[],[f699]) ).
fof(f699,plain,
( $false
| ~ spl49_1
| ~ spl49_17 ),
inference(subsumption_resolution,[],[f232,f300]) ).
fof(f232,plain,
( p(sK40)
| ~ spl49_1 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f230,plain,
( spl49_1
<=> p(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_1])]) ).
fof(f698,plain,
( ~ spl49_23
| ~ spl49_26
| ~ spl49_64 ),
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f697,plain,
( $false
| ~ spl49_23
| ~ spl49_26
| ~ spl49_64 ),
inference(subsumption_resolution,[],[f694,f526]) ).
fof(f526,plain,
( ! [X0] : ~ h(X0)
| ~ spl49_64 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f525,plain,
( spl49_64
<=> ! [X0] : ~ h(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_64])]) ).
fof(f694,plain,
( ! [X1] : h(X1)
| ~ spl49_23
| ~ spl49_26 ),
inference(resolution,[],[f337,f325]) ).
fof(f325,plain,
( ! [X3] :
( ~ f(X3)
| h(X3) )
| ~ spl49_23 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f324,plain,
( spl49_23
<=> ! [X3] :
( h(X3)
| ~ f(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_23])]) ).
fof(f337,plain,
( ! [X0] : f(X0)
| ~ spl49_26 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f336,plain,
( spl49_26
<=> ! [X0] : f(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_26])]) ).
fof(f692,plain,
( ~ spl49_22
| spl49_25
| ~ spl49_37 ),
inference(avatar_contradiction_clause,[],[f691]) ).
fof(f691,plain,
( $false
| ~ spl49_22
| spl49_25
| ~ spl49_37 ),
inference(subsumption_resolution,[],[f690,f334]) ).
fof(f334,plain,
( ~ g(sK47)
| spl49_25 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f332,plain,
( spl49_25
<=> g(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_25])]) ).
fof(f690,plain,
( g(sK47)
| ~ spl49_22
| ~ spl49_37 ),
inference(resolution,[],[f322,f387]) ).
fof(f387,plain,
( f(sK47)
| ~ spl49_37 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f385,plain,
( spl49_37
<=> f(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_37])]) ).
fof(f322,plain,
( ! [X2] :
( ~ f(X2)
| g(X2) )
| ~ spl49_22 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f321,plain,
( spl49_22
<=> ! [X2] :
( g(X2)
| ~ f(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_22])]) ).
fof(f676,plain,
( ~ spl49_17
| ~ spl49_69 ),
inference(avatar_contradiction_clause,[],[f675]) ).
fof(f675,plain,
( $false
| ~ spl49_17
| ~ spl49_69 ),
inference(subsumption_resolution,[],[f567,f300]) ).
fof(f567,plain,
( p(sK21)
| ~ spl49_69 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f565,plain,
( spl49_69
<=> p(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_69])]) ).
fof(f674,plain,
( ~ spl49_17
| ~ spl49_48 ),
inference(avatar_contradiction_clause,[],[f673]) ).
fof(f673,plain,
( $false
| ~ spl49_17
| ~ spl49_48 ),
inference(subsumption_resolution,[],[f437,f300]) ).
fof(f437,plain,
( p(sK41)
| ~ spl49_48 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f435,plain,
( spl49_48
<=> p(sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_48])]) ).
fof(f672,plain,
( ~ spl49_6
| ~ spl49_17 ),
inference(avatar_contradiction_clause,[],[f671]) ).
fof(f671,plain,
( $false
| ~ spl49_6
| ~ spl49_17 ),
inference(subsumption_resolution,[],[f253,f300]) ).
fof(f253,plain,
( p(sK42)
| ~ spl49_6 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl49_6
<=> p(sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_6])]) ).
fof(f670,plain,
( ~ spl49_17
| ~ spl49_27 ),
inference(avatar_contradiction_clause,[],[f669]) ).
fof(f669,plain,
( $false
| ~ spl49_17
| ~ spl49_27 ),
inference(subsumption_resolution,[],[f342,f300]) ).
fof(f342,plain,
( p(sK29)
| ~ spl49_27 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f340,plain,
( spl49_27
<=> p(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_27])]) ).
fof(f668,plain,
( ~ spl49_17
| ~ spl49_28 ),
inference(avatar_contradiction_clause,[],[f667]) ).
fof(f667,plain,
( $false
| ~ spl49_17
| ~ spl49_28 ),
inference(subsumption_resolution,[],[f346,f300]) ).
fof(f346,plain,
( p(sK28)
| ~ spl49_28 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f344,plain,
( spl49_28
<=> p(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_28])]) ).
fof(f666,plain,
( ~ spl49_14
| ~ spl49_17 ),
inference(avatar_contradiction_clause,[],[f665]) ).
fof(f665,plain,
( $false
| ~ spl49_14
| ~ spl49_17 ),
inference(subsumption_resolution,[],[f287,f300]) ).
fof(f287,plain,
( p(sK34)
| ~ spl49_14 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f285,plain,
( spl49_14
<=> p(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_14])]) ).
fof(f664,plain,
( ~ spl49_13
| ~ spl49_46 ),
inference(avatar_contradiction_clause,[],[f663]) ).
fof(f663,plain,
( $false
| ~ spl49_13
| ~ spl49_46 ),
inference(subsumption_resolution,[],[f283,f428]) ).
fof(f428,plain,
( ! [X2] : ~ q(X2)
| ~ spl49_46 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f427,plain,
( spl49_46
<=> ! [X2] : ~ q(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_46])]) ).
fof(f283,plain,
( q(sK32)
| ~ spl49_13 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl49_13
<=> q(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_13])]) ).
fof(f662,plain,
( ~ spl49_11
| ~ spl49_17 ),
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f661,plain,
( $false
| ~ spl49_11
| ~ spl49_17 ),
inference(subsumption_resolution,[],[f275,f300]) ).
fof(f275,plain,
( p(sK33)
| ~ spl49_11 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f273,plain,
( spl49_11
<=> p(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_11])]) ).
fof(f660,plain,
( ~ spl49_12
| ~ spl49_46 ),
inference(avatar_contradiction_clause,[],[f659]) ).
fof(f659,plain,
( $false
| ~ spl49_12
| ~ spl49_46 ),
inference(subsumption_resolution,[],[f279,f428]) ).
fof(f279,plain,
( q(sK34)
| ~ spl49_12 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl49_12
<=> q(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_12])]) ).
fof(f654,plain,
( ~ spl49_21
| spl49_71 ),
inference(avatar_contradiction_clause,[],[f653]) ).
fof(f653,plain,
( $false
| ~ spl49_21
| spl49_71 ),
inference(resolution,[],[f584,f318]) ).
fof(f318,plain,
( ! [X5] : q(X5)
| ~ spl49_21 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f317,plain,
( spl49_21
<=> ! [X5] : q(X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_21])]) ).
fof(f584,plain,
( ~ q(sK22)
| spl49_71 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f582,plain,
( spl49_71
<=> q(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_71])]) ).
fof(f649,plain,
( ~ spl49_4
| spl49_33 ),
inference(avatar_contradiction_clause,[],[f648]) ).
fof(f648,plain,
( $false
| ~ spl49_4
| spl49_33 ),
inference(subsumption_resolution,[],[f370,f244]) ).
fof(f244,plain,
( ! [X1] : p(X1)
| ~ spl49_4 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl49_4
<=> ! [X1] : p(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_4])]) ).
fof(f370,plain,
( ~ p(sK30)
| spl49_33 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f368,plain,
( spl49_33
<=> p(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_33])]) ).
fof(f647,plain,
( ~ spl49_4
| spl49_34 ),
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f646,plain,
( $false
| ~ spl49_4
| spl49_34 ),
inference(subsumption_resolution,[],[f374,f244]) ).
fof(f374,plain,
( ~ p(sK31)
| spl49_34 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f372,plain,
( spl49_34
<=> p(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_34])]) ).
fof(f645,plain,
( ~ spl49_4
| spl49_56 ),
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f644,plain,
( $false
| ~ spl49_4
| spl49_56 ),
inference(subsumption_resolution,[],[f481,f244]) ).
fof(f481,plain,
( ~ p(sK27)
| spl49_56 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f479,plain,
( spl49_56
<=> p(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_56])]) ).
fof(f643,plain,
( ~ spl49_21
| spl49_57 ),
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f642,plain,
( $false
| ~ spl49_21
| spl49_57 ),
inference(subsumption_resolution,[],[f485,f318]) ).
fof(f485,plain,
( ~ q(sK26)
| spl49_57 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f483,plain,
( spl49_57
<=> q(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_57])]) ).
fof(f641,plain,
( ~ spl49_4
| spl49_55 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f640,plain,
( $false
| ~ spl49_4
| spl49_55 ),
inference(subsumption_resolution,[],[f477,f244]) ).
fof(f477,plain,
( ~ p(sK25)
| spl49_55 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f475,plain,
( spl49_55
<=> p(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_55])]) ).
fof(f639,plain,
( ~ spl49_21
| spl49_58 ),
inference(avatar_contradiction_clause,[],[f638]) ).
fof(f638,plain,
( $false
| ~ spl49_21
| spl49_58 ),
inference(subsumption_resolution,[],[f489,f318]) ).
fof(f489,plain,
( ~ q(sK27)
| spl49_58 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f487,plain,
( spl49_58
<=> q(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_58])]) ).
fof(f635,plain,
( ~ spl49_4
| ~ spl49_35
| ~ spl49_46 ),
inference(avatar_contradiction_clause,[],[f634]) ).
fof(f634,plain,
( $false
| ~ spl49_4
| ~ spl49_35
| ~ spl49_46 ),
inference(subsumption_resolution,[],[f633,f428]) ).
fof(f633,plain,
( ! [X0] : q(X0)
| ~ spl49_4
| ~ spl49_35 ),
inference(subsumption_resolution,[],[f378,f244]) ).
fof(f378,plain,
( ! [X0] :
( ~ p(sK24(X0))
| q(X0) )
| ~ spl49_35 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f377,plain,
( spl49_35
<=> ! [X0] :
( q(X0)
| ~ p(sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_35])]) ).
fof(f632,plain,
( spl49_22
| ~ spl49_23
| ~ spl49_47 ),
inference(avatar_split_clause,[],[f631,f431,f324,f321]) ).
fof(f431,plain,
( spl49_47
<=> ! [X3] :
( ~ f(X3)
| ~ h(X3)
| g(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_47])]) ).
fof(f631,plain,
( ! [X3] :
( ~ f(X3)
| g(X3) )
| ~ spl49_23
| ~ spl49_47 ),
inference(subsumption_resolution,[],[f432,f325]) ).
fof(f432,plain,
( ! [X3] :
( ~ h(X3)
| g(X3)
| ~ f(X3) )
| ~ spl49_47 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f630,plain,
( ~ spl49_22
| ~ spl49_51
| spl49_65 ),
inference(avatar_contradiction_clause,[],[f629]) ).
fof(f629,plain,
( $false
| ~ spl49_22
| ~ spl49_51
| spl49_65 ),
inference(subsumption_resolution,[],[f628,f531]) ).
fof(f531,plain,
( ~ g(sK45)
| spl49_65 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f529,plain,
( spl49_65
<=> g(sK45) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_65])]) ).
fof(f628,plain,
( g(sK45)
| ~ spl49_22
| ~ spl49_51 ),
inference(resolution,[],[f458,f322]) ).
fof(f458,plain,
( f(sK45)
| ~ spl49_51 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f456,plain,
( spl49_51
<=> f(sK45) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_51])]) ).
fof(f626,plain,
( spl49_52
| ~ spl49_23
| ~ spl49_67 ),
inference(avatar_split_clause,[],[f623,f540,f324,f460]) ).
fof(f460,plain,
( spl49_52
<=> h(sK46) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_52])]) ).
fof(f540,plain,
( spl49_67
<=> f(sK46) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_67])]) ).
fof(f623,plain,
( h(sK46)
| ~ spl49_23
| ~ spl49_67 ),
inference(resolution,[],[f325,f542]) ).
fof(f542,plain,
( f(sK46)
| ~ spl49_67 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f621,plain,
( spl49_23
| ~ spl49_22
| ~ spl49_49 ),
inference(avatar_split_clause,[],[f620,f444,f321,f324]) ).
fof(f444,plain,
( spl49_49
<=> ! [X0] :
( ~ f(X0)
| h(X0)
| ~ g(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_49])]) ).
fof(f620,plain,
( ! [X0] :
( h(X0)
| ~ f(X0) )
| ~ spl49_22
| ~ spl49_49 ),
inference(subsumption_resolution,[],[f445,f322]) ).
fof(f445,plain,
( ! [X0] :
( ~ f(X0)
| ~ g(X0)
| h(X0) )
| ~ spl49_49 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f619,plain,
( ~ spl49_4
| spl49_62 ),
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f618,plain,
( $false
| ~ spl49_4
| spl49_62 ),
inference(subsumption_resolution,[],[f514,f244]) ).
fof(f514,plain,
( ~ p(sK22)
| spl49_62 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f512,plain,
( spl49_62
<=> p(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_62])]) ).
fof(f617,plain,
( ~ spl49_4
| spl49_60 ),
inference(avatar_contradiction_clause,[],[f616]) ).
fof(f616,plain,
( $false
| ~ spl49_4
| spl49_60 ),
inference(subsumption_resolution,[],[f503,f244]) ).
fof(f503,plain,
( ~ p(sK35)
| spl49_60 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f501,plain,
( spl49_60
<=> p(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_60])]) ).
fof(f615,plain,
( ~ spl49_4
| spl49_61 ),
inference(avatar_contradiction_clause,[],[f614]) ).
fof(f614,plain,
( $false
| ~ spl49_4
| spl49_61 ),
inference(subsumption_resolution,[],[f507,f244]) ).
fof(f507,plain,
( ~ p(sK36)
| spl49_61 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f505,plain,
( spl49_61
<=> p(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_61])]) ).
fof(f613,plain,
( ~ spl49_4
| spl49_29 ),
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f612,plain,
( $false
| ~ spl49_4
| spl49_29 ),
inference(resolution,[],[f352,f244]) ).
fof(f352,plain,
( ~ p(sK44)
| spl49_29 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f350,plain,
( spl49_29
<=> p(sK44) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_29])]) ).
fof(f611,plain,
( ~ spl49_53
| ~ spl49_59
| spl49_63
| ~ spl49_70 ),
inference(avatar_contradiction_clause,[],[f610]) ).
fof(f610,plain,
( $false
| ~ spl49_53
| ~ spl49_59
| spl49_63
| ~ spl49_70 ),
inference(subsumption_resolution,[],[f609,f522]) ).
fof(f522,plain,
( ~ r(sK37,sK37)
| spl49_63 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f520,plain,
( spl49_63
<=> r(sK37,sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_63])]) ).
fof(f609,plain,
( r(sK37,sK37)
| ~ spl49_53
| ~ spl49_59
| ~ spl49_70 ),
inference(resolution,[],[f607,f605]) ).
fof(f605,plain,
( r(sK38,sK37)
| ~ spl49_59
| ~ spl49_70 ),
inference(resolution,[],[f574,f497]) ).
fof(f497,plain,
( r(sK37,sK38)
| ~ spl49_59 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f495,plain,
( spl49_59
<=> r(sK37,sK38) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_59])]) ).
fof(f574,plain,
( ! [X6,X5] :
( ~ r(X6,X5)
| r(X5,X6) )
| ~ spl49_70 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f573,plain,
( spl49_70
<=> ! [X6,X5] :
( ~ r(X6,X5)
| r(X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_70])]) ).
fof(f607,plain,
( ! [X0] :
( ~ r(sK38,X0)
| r(sK37,X0) )
| ~ spl49_53
| ~ spl49_59 ),
inference(resolution,[],[f466,f497]) ).
fof(f466,plain,
( ! [X2,X0,X1] :
( ~ r(X2,X1)
| ~ r(X1,X0)
| r(X2,X0) )
| ~ spl49_53 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f465,plain,
( spl49_53
<=> ! [X2,X0,X1] :
( ~ r(X1,X0)
| ~ r(X2,X1)
| r(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_53])]) ).
fof(f604,plain,
( ~ spl49_46
| ~ spl49_50 ),
inference(avatar_contradiction_clause,[],[f603]) ).
fof(f603,plain,
( $false
| ~ spl49_46
| ~ spl49_50 ),
inference(resolution,[],[f453,f428]) ).
fof(f453,plain,
( q(sK23)
| ~ spl49_50 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f451,plain,
( spl49_50
<=> q(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_50])]) ).
fof(f600,plain,
( ~ spl49_17
| ~ spl49_68 ),
inference(avatar_contradiction_clause,[],[f599]) ).
fof(f599,plain,
( $false
| ~ spl49_17
| ~ spl49_68 ),
inference(subsumption_resolution,[],[f552,f300]) ).
fof(f552,plain,
( p(sK23)
| ~ spl49_68 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f550,plain,
( spl49_68
<=> p(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_68])]) ).
fof(f594,plain,
( ~ spl49_4
| ~ spl49_17 ),
inference(avatar_contradiction_clause,[],[f593]) ).
fof(f593,plain,
( $false
| ~ spl49_4
| ~ spl49_17 ),
inference(subsumption_resolution,[],[f300,f244]) ).
fof(f592,plain,
( ~ spl49_4
| spl49_45 ),
inference(avatar_contradiction_clause,[],[f591]) ).
fof(f591,plain,
( $false
| ~ spl49_4
| spl49_45 ),
inference(subsumption_resolution,[],[f423,f244]) ).
fof(f423,plain,
( ~ p(sK48)
| spl49_45 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f421,plain,
( spl49_45
<=> p(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_45])]) ).
fof(f590,plain,
( ~ spl49_4
| spl49_31 ),
inference(avatar_contradiction_clause,[],[f589]) ).
fof(f589,plain,
( $false
| ~ spl49_4
| spl49_31 ),
inference(subsumption_resolution,[],[f361,f244]) ).
fof(f361,plain,
( ~ p(sK43)
| spl49_31 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f359,plain,
( spl49_31
<=> p(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_31])]) ).
fof(f588,plain,
( ~ spl49_4
| spl49_18 ),
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f587,plain,
( $false
| ~ spl49_4
| spl49_18 ),
inference(subsumption_resolution,[],[f306,f244]) ).
fof(f306,plain,
( ~ p(sK19)
| spl49_18 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f304,plain,
( spl49_18
<=> p(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_18])]) ).
fof(f586,plain,
( ~ spl49_3
| ~ spl49_2 ),
inference(avatar_split_clause,[],[f207,f234,f238]) ).
fof(f238,plain,
( spl49_3
<=> c ),
introduced(avatar_definition,[new_symbols(naming,[spl49_3])]) ).
fof(f234,plain,
( spl49_2
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_2])]) ).
fof(f207,plain,
( ~ sP5
| ~ c ),
inference(duplicate_literal_removal,[],[f169]) ).
fof(f169,plain,
( ~ c
| ~ c
| ~ sP5 ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( ( ( p(sK39)
& ~ c )
| ( p(sK40)
& ~ c ) )
& ( ! [X2] : ~ p(X2)
| c
| ! [X3] :
( ~ p(X3)
| c ) ) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40])],[f88,f90,f89]) ).
fof(f89,plain,
( ? [X0] : p(X0)
=> p(sK39) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
( ? [X1] :
( p(X1)
& ~ c )
=> ( p(sK40)
& ~ c ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
( ( ( ( ? [X0] : p(X0)
& ~ c )
| ? [X1] :
( p(X1)
& ~ c ) )
& ( ! [X2] : ~ p(X2)
| c
| ! [X3] :
( ~ p(X3)
| c ) ) )
| ~ sP5 ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
( ( ( ( ? [X16] : p(X16)
& ~ c )
| ? [X15] :
( p(X15)
& ~ c ) )
& ( ! [X16] : ~ p(X16)
| c
| ! [X15] :
( ~ p(X15)
| c ) ) )
| ~ sP5 ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
( ( ( ( ? [X16] : p(X16)
& ~ c )
| ? [X15] :
( p(X15)
& ~ c ) )
& ( ! [X16] : ~ p(X16)
| c
| ! [X15] :
( ~ p(X15)
| c ) ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( ! [X15] :
( ~ p(X15)
| c )
<~> ( ! [X16] : ~ p(X16)
| c ) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f585,plain,
( ~ spl49_71
| ~ spl49_40 ),
inference(avatar_split_clause,[],[f128,f398,f582]) ).
fof(f398,plain,
( spl49_40
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_40])]) ).
fof(f128,plain,
( ~ sP15
| ~ q(sK22) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( ~ q(sK22)
& ~ p(sK22)
& ( ! [X1] : q(X1)
| ! [X2] : p(X2) ) )
| ~ sP15 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f37,f38]) ).
fof(f38,plain,
( ? [X0] :
( ~ q(X0)
& ~ p(X0) )
=> ( ~ q(sK22)
& ~ p(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
( ( ? [X0] :
( ~ q(X0)
& ~ p(X0) )
& ( ! [X1] : q(X1)
| ! [X2] : p(X2) ) )
| ~ sP15 ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
( ( ? [X53] :
( ~ q(X53)
& ~ p(X53) )
& ( ! [X52] : q(X52)
| ! [X51] : p(X51) ) )
| ~ sP15 ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( ? [X53] :
( ~ q(X53)
& ~ p(X53) )
& ( ! [X52] : q(X52)
| ! [X51] : p(X51) ) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f580,plain,
( spl49_24
| ~ spl49_41 ),
inference(avatar_split_clause,[],[f178,f402,f328]) ).
fof(f328,plain,
( spl49_24
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_24])]) ).
fof(f402,plain,
( spl49_41
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_41])]) ).
fof(f178,plain,
( ~ sP3
| sP0 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( ! [X0] :
( ~ f(X0)
| ~ g(X0)
| h(X0) )
& ( ! [X1] :
( g(X1)
| ~ f(X1) )
| ! [X2] :
( ~ f(X2)
| h(X2) ) )
& ! [X3] :
( g(X3)
| ~ h(X3)
| ~ f(X3) )
& sP0 )
| ~ sP3 ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
( ( ! [X38] :
( ~ f(X38)
| ~ g(X38)
| h(X38) )
& ( ! [X36] :
( g(X36)
| ~ f(X36) )
| ! [X35] :
( ~ f(X35)
| h(X35) ) )
& ! [X37] :
( g(X37)
| ~ h(X37)
| ~ f(X37) )
& sP0 )
| ~ sP3 ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( ! [X38] :
( ~ f(X38)
| ~ g(X38)
| h(X38) )
& ( ! [X36] :
( g(X36)
| ~ f(X36) )
| ! [X35] :
( ~ f(X35)
| h(X35) ) )
& ! [X37] :
( g(X37)
| ~ h(X37)
| ~ f(X37) )
& sP0 )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f579,plain,
( spl49_17
| spl49_17
| ~ spl49_10 ),
inference(avatar_split_clause,[],[f155,f269,f299,f299]) ).
fof(f269,plain,
( spl49_10
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_10])]) ).
fof(f155,plain,
! [X2,X1] :
( ~ sP8
| ~ p(X1)
| ~ p(X2) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( ( ( ! [X0] : ~ q(X0)
& ! [X1] : ~ p(X1) )
| ! [X2] :
( ~ q(X2)
& ~ p(X2) ) )
& ( q(sK32)
| p(sK33)
| q(sK34)
| p(sK34) ) )
| ~ sP8 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33,sK34])],[f71,f74,f73,f72]) ).
fof(f72,plain,
( ? [X3] : q(X3)
=> q(sK32) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( ? [X4] : p(X4)
=> p(sK33) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
( ? [X5] :
( q(X5)
| p(X5) )
=> ( q(sK34)
| p(sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ( ( ( ! [X0] : ~ q(X0)
& ! [X1] : ~ p(X1) )
| ! [X2] :
( ~ q(X2)
& ~ p(X2) ) )
& ( ? [X3] : q(X3)
| ? [X4] : p(X4)
| ? [X5] :
( q(X5)
| p(X5) ) ) )
| ~ sP8 ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
( ( ( ( ! [X31] : ~ q(X31)
& ! [X32] : ~ p(X32) )
| ! [X30] :
( ~ q(X30)
& ~ p(X30) ) )
& ( ? [X31] : q(X31)
| ? [X32] : p(X32)
| ? [X30] :
( q(X30)
| p(X30) ) ) )
| ~ sP8 ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
( ( ( ( ! [X31] : ~ q(X31)
& ! [X32] : ~ p(X32) )
| ! [X30] :
( ~ q(X30)
& ~ p(X30) ) )
& ( ? [X31] : q(X31)
| ? [X32] : p(X32)
| ? [X30] :
( q(X30)
| p(X30) ) ) )
| ~ sP8 ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( ? [X30] :
( q(X30)
| p(X30) )
<~> ( ? [X31] : q(X31)
| ? [X32] : p(X32) ) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f578,plain,
( spl49_4
| ~ spl49_36 ),
inference(avatar_split_clause,[],[f133,f380,f243]) ).
fof(f380,plain,
( spl49_36
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_36])]) ).
fof(f133,plain,
! [X0] :
( ~ sP13
| p(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ! [X0] :
( ( q(X0)
| ~ p(sK24(X0)) )
& p(X0)
& ~ q(X0) )
| ~ sP13 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f45,f46]) ).
fof(f46,plain,
! [X0] :
( ? [X1] :
( ( q(X0)
| ~ p(X1) )
& p(X0)
& ~ q(X0) )
=> ( ( q(X0)
| ~ p(sK24(X0)) )
& p(X0)
& ~ q(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
( ! [X0] :
? [X1] :
( ( q(X0)
| ~ p(X1) )
& p(X0)
& ~ q(X0) )
| ~ sP13 ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
( ! [X43] :
? [X44] :
( ( q(X43)
| ~ p(X44) )
& p(X43)
& ~ q(X43) )
| ~ sP13 ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
( ! [X43] :
? [X44] :
( ( q(X43)
| ~ p(X44) )
& p(X43)
& ~ q(X43) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f577,plain,
( spl49_64
| ~ spl49_25
| ~ spl49_24 ),
inference(avatar_split_clause,[],[f198,f328,f332,f525]) ).
fof(f198,plain,
! [X0] :
( ~ sP0
| ~ g(sK47)
| ~ h(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( ! [X0] :
( ( ~ g(sK47)
& f(sK47) )
| ( ~ h(X0)
& g(X0)
& f(X0) ) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47])],[f112,f113]) ).
fof(f113,plain,
( ? [X1] :
( ~ g(X1)
& f(X1) )
=> ( ~ g(sK47)
& f(sK47) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
( ! [X0] :
( ? [X1] :
( ~ g(X1)
& f(X1) )
| ( ~ h(X0)
& g(X0)
& f(X0) ) )
| ~ sP0 ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
( ! [X33] :
( ? [X34] :
( ~ g(X34)
& f(X34) )
| ( ~ h(X33)
& g(X33)
& f(X33) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
( ! [X33] :
( ? [X34] :
( ~ g(X34)
& f(X34) )
| ( ~ h(X33)
& g(X33)
& f(X33) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f576,plain,
( spl49_4
| ~ spl49_30
| spl49_4
| spl49_3 ),
inference(avatar_split_clause,[],[f208,f238,f243,f354,f243]) ).
fof(f354,plain,
( spl49_30
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_30])]) ).
fof(f208,plain,
! [X2,X3] :
( c
| p(X2)
| ~ sP2
| p(X3) ),
inference(duplicate_literal_removal,[],[f182]) ).
fof(f182,plain,
! [X2,X3] :
( c
| ~ sP2
| p(X3)
| c
| p(X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( ( ( ~ p(sK43)
& ~ c )
| ( ~ p(sK44)
& ~ c ) )
& ( ! [X2] :
( p(X2)
| c )
| ! [X3] : p(X3)
| c ) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44])],[f102,f104,f103]) ).
fof(f103,plain,
( ? [X0] :
( ~ p(X0)
& ~ c )
=> ( ~ p(sK43)
& ~ c ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
( ? [X1] : ~ p(X1)
=> ~ p(sK44) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
( ( ( ? [X0] :
( ~ p(X0)
& ~ c )
| ( ? [X1] : ~ p(X1)
& ~ c ) )
& ( ! [X2] :
( p(X2)
| c )
| ! [X3] : p(X3)
| c ) )
| ~ sP2 ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
( ( ( ? [X0] :
( ~ p(X0)
& ~ c )
| ( ? [X1] : ~ p(X1)
& ~ c ) )
& ( ! [X0] :
( p(X0)
| c )
| ! [X1] : p(X1)
| c ) )
| ~ sP2 ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
( ( ( ? [X0] :
( ~ p(X0)
& ~ c )
| ( ? [X1] : ~ p(X1)
& ~ c ) )
& ( ! [X0] :
( p(X0)
| c )
| ! [X1] : p(X1)
| c ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
( ( ( ! [X1] : p(X1)
| c )
<~> ! [X0] :
( p(X0)
| c ) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f575,plain,
( ~ spl49_43
| spl49_70 ),
inference(avatar_split_clause,[],[f164,f573,f410]) ).
fof(f410,plain,
( spl49_43
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_43])]) ).
fof(f164,plain,
! [X6,X5] :
( ~ r(X6,X5)
| ~ sP6
| r(X5,X6) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( ! [X0,X1,X2] :
( ~ r(X1,X0)
| ~ r(X2,X1)
| r(X2,X0) )
& ~ r(sK37,sK37)
& r(sK37,sK38)
& ! [X5,X6] :
( r(X5,X6)
| ~ r(X6,X5) ) )
| ~ sP6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38])],[f83,f84]) ).
fof(f84,plain,
( ? [X3,X4] :
( ~ r(X3,X3)
& r(X3,X4) )
=> ( ~ r(sK37,sK37)
& r(sK37,sK38) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( ( ! [X0,X1,X2] :
( ~ r(X1,X0)
| ~ r(X2,X1)
| r(X2,X0) )
& ? [X3,X4] :
( ~ r(X3,X3)
& r(X3,X4) )
& ! [X5,X6] :
( r(X5,X6)
| ~ r(X6,X5) ) )
| ~ sP6 ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
( ( ! [X2,X3,X4] :
( ~ r(X3,X2)
| ~ r(X4,X3)
| r(X4,X2) )
& ? [X7,X8] :
( ~ r(X7,X7)
& r(X7,X8) )
& ! [X5,X6] :
( r(X5,X6)
| ~ r(X6,X5) ) )
| ~ sP6 ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( ( ! [X2,X3,X4] :
( ~ r(X3,X2)
| ~ r(X4,X3)
| r(X4,X2) )
& ? [X7,X8] :
( ~ r(X7,X7)
& r(X7,X8) )
& ! [X5,X6] :
( r(X5,X6)
| ~ r(X6,X5) ) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f568,plain,
( spl49_69
| ~ spl49_42 ),
inference(avatar_split_clause,[],[f125,f406,f565]) ).
fof(f406,plain,
( spl49_42
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_42])]) ).
fof(f125,plain,
( ~ sP16
| p(sK21) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( p(sK21)
& ~ p(sK20)
& ! [X2] : ~ p(X2) )
| ~ sP16 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21])],[f32,f34,f33]) ).
fof(f33,plain,
( ? [X0] :
( ? [X1] : p(X1)
& ~ p(X0) )
=> ( ? [X1] : p(X1)
& ~ p(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
( ? [X1] : p(X1)
=> p(sK21) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
( ( ? [X0] :
( ? [X1] : p(X1)
& ~ p(X0) )
& ! [X2] : ~ p(X2) )
| ~ sP16 ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
( ( ? [X13] :
( ? [X14] : p(X14)
& ~ p(X13) )
& ! [X12] : ~ p(X12) )
| ~ sP16 ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( ? [X13] :
( ? [X14] : p(X14)
& ~ p(X13) )
& ! [X12] : ~ p(X12) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f563,plain,
( spl49_22
| spl49_23
| ~ spl49_41 ),
inference(avatar_split_clause,[],[f180,f402,f324,f321]) ).
fof(f180,plain,
! [X2,X1] :
( ~ sP3
| h(X2)
| ~ f(X1)
| g(X1)
| ~ f(X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f562,plain,
( ~ spl49_9
| spl49_67
| ~ spl49_65 ),
inference(avatar_split_clause,[],[f191,f529,f540,f264]) ).
fof(f264,plain,
( spl49_9
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_9])]) ).
fof(f191,plain,
( ~ g(sK45)
| f(sK46)
| ~ sP1 ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( ~ g(sK45)
& f(sK45) )
| ( ~ h(sK46)
& f(sK46)
& g(sK46) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45,sK46])],[f107,f109,f108]) ).
fof(f108,plain,
( ? [X0] :
( ~ g(X0)
& f(X0) )
=> ( ~ g(sK45)
& f(sK45) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
( ? [X1] :
( ~ h(X1)
& f(X1)
& g(X1) )
=> ( ~ h(sK46)
& f(sK46)
& g(sK46) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
( ? [X0] :
( ~ g(X0)
& f(X0) )
| ? [X1] :
( ~ h(X1)
& f(X1)
& g(X1) )
| ~ sP1 ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
( ? [X46] :
( ~ g(X46)
& f(X46) )
| ? [X45] :
( ~ h(X45)
& f(X45)
& g(X45) )
| ~ sP1 ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
( ? [X46] :
( ~ g(X46)
& f(X46) )
| ? [X45] :
( ~ h(X45)
& f(X45)
& g(X45) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f561,plain,
( spl49_4
| ~ spl49_40
| spl49_21 ),
inference(avatar_split_clause,[],[f126,f317,f398,f243]) ).
fof(f126,plain,
! [X2,X1] :
( q(X1)
| ~ sP15
| p(X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f560,plain,
( ~ spl49_19
| spl49_4 ),
inference(avatar_split_clause,[],[f119,f243,f308]) ).
fof(f308,plain,
( spl49_19
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_19])]) ).
fof(f119,plain,
! [X1] :
( p(X1)
| ~ sP18 ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( ~ p(sK19)
& ! [X1] : p(X1) )
| ~ sP18 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f27,f28]) ).
fof(f28,plain,
( ? [X0] :
( ~ p(X0)
& ! [X1] : p(X1) )
=> ( ~ p(sK19)
& ! [X1] : p(X1) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
( ? [X0] :
( ~ p(X0)
& ! [X1] : p(X1) )
| ~ sP18 ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
( ? [X25] :
( ~ p(X25)
& ! [X26] : p(X26) )
| ~ sP18 ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
( ? [X25] :
( ~ p(X25)
& ! [X26] : p(X26) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f559,plain,
( spl49_17
| ~ spl49_42 ),
inference(avatar_split_clause,[],[f123,f406,f299]) ).
fof(f123,plain,
! [X2] :
( ~ sP16
| ~ p(X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f557,plain,
( spl49_4
| spl49_40
| spl49_20
| spl49_10
| spl49_39
| spl49_5
| spl49_16
| spl49_41
| spl49_30
| spl49_36
| spl49_4
| spl49_3
| spl49_8
| spl49_7
| spl49_38
| spl49_19
| spl49_2
| spl49_43
| spl49_42
| spl49_32 ),
inference(avatar_split_clause,[],[f209,f364,f406,f410,f234,f308,f390,f255,f260,f238,f243,f380,f354,f402,f295,f246,f394,f269,f313,f398,f243]) ).
fof(f313,plain,
( spl49_20
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_20])]) ).
fof(f394,plain,
( spl49_39
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_39])]) ).
fof(f246,plain,
( spl49_5
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_5])]) ).
fof(f295,plain,
( spl49_16
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_16])]) ).
fof(f260,plain,
( spl49_8
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_8])]) ).
fof(f255,plain,
( spl49_7
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_7])]) ).
fof(f390,plain,
( spl49_38
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_38])]) ).
fof(f364,plain,
( spl49_32
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl49_32])]) ).
fof(f209,plain,
! [X2,X1] :
( sP9
| sP16
| sP6
| sP5
| sP18
| sP14
| sP4
| sP11
| c
| p(X1)
| sP13
| sP2
| sP3
| sP10
| sP7
| sP17
| sP8
| sP12
| sP15
| p(X2) ),
inference(duplicate_literal_removal,[],[f200]) ).
fof(f200,plain,
! [X2,X1] :
( sP12
| sP18
| sP6
| sP17
| sP9
| sP13
| sP2
| sP15
| sP5
| c
| sP14
| sP16
| sP11
| sP10
| p(X2)
| sP7
| sP8
| sP3
| p(X1)
| sP4
| c ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( sP12
| sP11
| sP16
| sP10
| ( ! [X0] : ~ p(X0)
& ! [X1] : p(X1) )
| ( ( ~ c
| ~ c )
& ( c
| c ) )
| sP15
| sP9
| sP8
| ! [X2] :
( p(X2)
& ~ p(sK48) )
| sP7
| sP6
| sP5
| sP4
| sP18
| sP3
| sP14
| sP17
| sP2
| sP13 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48])],[f116,f117]) ).
fof(f117,plain,
( ? [X3] : ~ p(X3)
=> ~ p(sK48) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
( sP12
| sP11
| sP16
| sP10
| ( ! [X0] : ~ p(X0)
& ! [X1] : p(X1) )
| ( ( ~ c
| ~ c )
& ( c
| c ) )
| sP15
| sP9
| sP8
| ! [X2] :
( p(X2)
& ? [X3] : ~ p(X3) )
| sP7
| sP6
| sP5
| sP4
| sP18
| sP3
| sP14
| sP17
| sP2
| sP13 ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
( sP12
| sP11
| sP16
| sP10
| ( ! [X18] : ~ p(X18)
& ! [X17] : p(X17) )
| ( ( ~ c
| ~ c )
& ( c
| c ) )
| sP15
| sP9
| sP8
| ! [X54] :
( p(X54)
& ? [X55] : ~ p(X55) )
| sP7
| sP6
| sP5
| sP4
| sP18
| sP3
| sP14
| sP17
| sP2
| sP13 ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
( sP12
| sP11
| sP16
| sP10
| ( ! [X18] : ~ p(X18)
& ! [X17] : p(X17) )
| ( c
<~> c )
| sP15
| sP9
| sP8
| ! [X54] :
( p(X54)
& ? [X55] : ~ p(X55) )
| sP7
| sP6
| sP5
| sP4
| sP18
| sP3
| sP14
| sP17
| sP2
| sP13 ),
inference(definition_folding,[],[f5,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6]) ).
fof(f10,plain,
( ( ( c
& ? [X39] : p(X39) )
<~> ? [X40] :
( p(X40)
& c ) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
( ( ? [X41] :
( c
| ~ p(X41) )
<~> ( ? [X42] : ~ p(X42)
| c ) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f15,plain,
( ( ! [X22] :
( p(X22)
| ~ c )
<~> ( ! [X23] : p(X23)
| ~ c ) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f16,plain,
( ( ? [X28] :
( p(X28)
| ~ c )
<~> ( ~ c
| ? [X27] : p(X27) ) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f17,plain,
( ( ! [X50] :
( ~ g(X50)
| ~ f(X50)
| h(X50) )
& sP1
& ! [X49] :
( ~ h(X49)
| ~ f(X49)
| g(X49) )
& ( ! [X47] :
( g(X47)
| ~ f(X47) )
| ! [X48] :
( h(X48)
| ~ f(X48) ) ) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f18,plain,
( ( ! [X21] :
( q(X21)
& p(X21) )
<~> ( ! [X19] : p(X19)
& ! [X20] : q(X20) ) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f20,plain,
( ( ( ! [X11] : ~ p(X11)
| ! [X10] : ~ q(X10) )
& ? [X9] :
( q(X9)
& p(X9) ) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f23,plain,
( ( c
<~> c )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f5,plain,
( ( ! [X21] :
( q(X21)
& p(X21) )
<~> ( ! [X19] : p(X19)
& ! [X20] : q(X20) ) )
| ( ! [X50] :
( ~ g(X50)
| ~ f(X50)
| h(X50) )
& ( ? [X46] :
( ~ g(X46)
& f(X46) )
| ? [X45] :
( ~ h(X45)
& f(X45)
& g(X45) ) )
& ! [X49] :
( ~ h(X49)
| ~ f(X49)
| g(X49) )
& ( ! [X47] :
( g(X47)
| ~ f(X47) )
| ! [X48] :
( h(X48)
| ~ f(X48) ) ) )
| ( ? [X13] :
( ? [X14] : p(X14)
& ~ p(X13) )
& ! [X12] : ~ p(X12) )
| ( ? [X28] :
( p(X28)
| ~ c )
<~> ( ~ c
| ? [X27] : p(X27) ) )
| ( ! [X18] : ~ p(X18)
& ! [X17] : p(X17) )
| ( c
<~> c )
| ( ? [X53] :
( ~ q(X53)
& ~ p(X53) )
& ( ! [X52] : q(X52)
| ! [X51] : p(X51) ) )
| ( ! [X22] :
( p(X22)
| ~ c )
<~> ( ! [X23] : p(X23)
| ~ c ) )
| ( ? [X30] :
( q(X30)
| p(X30) )
<~> ( ? [X31] : q(X31)
| ? [X32] : p(X32) ) )
| ! [X54] :
( p(X54)
& ? [X55] : ~ p(X55) )
| ( ? [X41] :
( c
| ~ p(X41) )
<~> ( ? [X42] : ~ p(X42)
| c ) )
| ( ! [X2,X3,X4] :
( ~ r(X3,X2)
| ~ r(X4,X3)
| r(X4,X2) )
& ? [X7,X8] :
( ~ r(X7,X7)
& r(X7,X8) )
& ! [X5,X6] :
( r(X5,X6)
| ~ r(X6,X5) ) )
| ( ! [X15] :
( ~ p(X15)
| c )
<~> ( ! [X16] : ~ p(X16)
| c ) )
| ( ( c
& ? [X39] : p(X39) )
<~> ? [X40] :
( p(X40)
& c ) )
| ? [X25] :
( ~ p(X25)
& ! [X26] : p(X26) )
| ( ! [X38] :
( ~ f(X38)
| ~ g(X38)
| h(X38) )
& ( ! [X36] :
( g(X36)
| ~ f(X36) )
| ! [X35] :
( ~ f(X35)
| h(X35) ) )
& ! [X37] :
( g(X37)
| ~ h(X37)
| ~ f(X37) )
& ! [X33] :
( ? [X34] :
( ~ g(X34)
& f(X34) )
| ( ~ h(X33)
& g(X33)
& f(X33) ) ) )
| ( ( ! [X11] : ~ p(X11)
| ! [X10] : ~ q(X10) )
& ? [X9] :
( q(X9)
& p(X9) ) )
| ( c
<~> c )
| ( ( ! [X1] : p(X1)
| c )
<~> ! [X0] :
( p(X0)
| c ) )
| ! [X43] :
? [X44] :
( ( q(X43)
| ~ p(X44) )
& p(X43)
& ~ q(X43) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ( ? [X28] :
( p(X28)
| ~ c )
<~> ( ~ c
| ? [X27] : p(X27) ) )
| ( ! [X15] :
( ~ p(X15)
| c )
<~> ( ! [X16] : ~ p(X16)
| c ) )
| ( c
<~> c )
| ( ! [X21] :
( q(X21)
& p(X21) )
<~> ( ! [X19] : p(X19)
& ! [X20] : q(X20) ) )
| ( ? [X30] :
( q(X30)
| p(X30) )
<~> ( ? [X31] : q(X31)
| ? [X32] : p(X32) ) )
| ( ( ! [X11] : ~ p(X11)
| ! [X10] : ~ q(X10) )
& ? [X9] :
( q(X9)
& p(X9) ) )
| ( ! [X50] :
( ~ g(X50)
| ~ f(X50)
| h(X50) )
& ! [X49] :
( g(X49)
| ~ f(X49)
| ~ h(X49) )
& ( ! [X47] :
( g(X47)
| ~ f(X47) )
| ! [X48] :
( h(X48)
| ~ f(X48) ) )
& ( ? [X46] :
( ~ g(X46)
& f(X46) )
| ? [X45] :
( ~ h(X45)
& f(X45)
& g(X45) ) ) )
| ( ? [X53] :
( ~ q(X53)
& ~ p(X53) )
& ( ! [X52] : q(X52)
| ! [X51] : p(X51) ) )
| ( c
<~> c )
| ( ! [X22] :
( p(X22)
| ~ c )
<~> ( ! [X23] : p(X23)
| ~ c ) )
| ( ! [X18] : ~ p(X18)
& ! [X17] : p(X17) )
| ( ( ! [X1] : p(X1)
| c )
<~> ! [X0] :
( p(X0)
| c ) )
| ? [X25] :
( ~ p(X25)
& ! [X26] : p(X26) )
| ( ? [X41] :
( c
| ~ p(X41) )
<~> ( ? [X42] : ~ p(X42)
| c ) )
| ( ? [X7,X8] :
( ~ r(X7,X7)
& r(X7,X8) )
& ! [X4,X2,X3] :
( r(X4,X2)
| ~ r(X3,X2)
| ~ r(X4,X3) )
& ! [X5,X6] :
( r(X5,X6)
| ~ r(X6,X5) ) )
| ( ? [X13] :
( ? [X14] : p(X14)
& ~ p(X13) )
& ! [X12] : ~ p(X12) )
| ! [X43] :
? [X44] :
( ~ q(X43)
& p(X43)
& ( q(X43)
| ~ p(X44) ) )
| ! [X54] :
( p(X54)
& ? [X55] : ~ p(X55) )
| ( ( c
& ? [X39] : p(X39) )
<~> ? [X40] :
( p(X40)
& c ) )
| ( ! [X38] :
( ~ f(X38)
| ~ g(X38)
| h(X38) )
& ! [X37] :
( g(X37)
| ~ f(X37)
| ~ h(X37) )
& ! [X33] :
( ? [X34] :
( ~ g(X34)
& f(X34) )
| ( ~ h(X33)
& f(X33)
& g(X33) ) )
& ( ! [X36] :
( g(X36)
| ~ f(X36) )
| ! [X35] :
( ~ f(X35)
| h(X35) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ( c
=> ? [X27] : p(X27) )
<=> ? [X28] :
( c
=> p(X28) ) )
& ( ( ? [X16] : p(X16)
=> c )
<=> ! [X15] :
( p(X15)
=> c ) )
& ( c
<=> c )
& ( ! [X21] :
( q(X21)
& p(X21) )
<=> ( ! [X19] : p(X19)
& ! [X20] : q(X20) ) )
& ( ( ? [X31] : q(X31)
| ? [X32] : p(X32) )
<=> ? [X30] :
( q(X30)
| p(X30) ) )
& ( ? [X9] :
( q(X9)
& p(X9) )
=> ( ? [X11] : p(X11)
& ? [X10] : q(X10) ) )
& ( ( ( ! [X48] :
( f(X48)
=> h(X48) )
| ! [X47] :
( f(X47)
=> g(X47) ) )
& ( ! [X45] :
( ( f(X45)
& g(X45) )
=> h(X45) )
=> ? [X46] :
( ~ g(X46)
& f(X46) ) ) )
=> ( ! [X49] :
( ( f(X49)
& h(X49) )
=> g(X49) )
=> ? [X50] :
( f(X50)
& ~ h(X50)
& g(X50) ) ) )
& ( ( ! [X52] : q(X52)
| ! [X51] : p(X51) )
=> ! [X53] :
( q(X53)
| p(X53) ) )
& ( c
<=> c )
& ( ( c
=> ! [X23] : p(X23) )
<=> ! [X22] :
( c
=> p(X22) ) )
& ( ! [X17] : p(X17)
=> ? [X18] : p(X18) )
& ( ! [X0] :
( p(X0)
| c )
<=> ( ! [X1] : p(X1)
| c ) )
& ! [X25] :
( ! [X26] : p(X26)
=> p(X25) )
& ( ? [X41] :
( p(X41)
=> c )
<=> ( ! [X42] : p(X42)
=> c ) )
& ( ( ! [X4,X2,X3] :
( ( r(X3,X2)
& r(X4,X3) )
=> r(X4,X2) )
& ! [X6,X5] :
( r(X6,X5)
=> r(X5,X6) ) )
=> ! [X8,X7] :
( r(X7,X8)
=> r(X7,X7) ) )
& ( ~ ? [X12] : p(X12)
=> ! [X13] :
( ? [X14] : p(X14)
=> p(X13) ) )
& ? [X43] :
! [X44] :
( ( p(X44)
=> q(X43) )
=> ( p(X43)
=> q(X43) ) )
& ? [X54] :
( p(X54)
=> ! [X55] : p(X55) )
& ( ? [X40] :
( p(X40)
& c )
<=> ( c
& ? [X39] : p(X39) ) )
& ( ( ! [X33] :
( ( ( f(X33)
& g(X33) )
=> h(X33) )
=> ? [X34] :
( ~ g(X34)
& f(X34) ) )
& ( ! [X35] :
( f(X35)
=> h(X35) )
| ! [X36] :
( f(X36)
=> g(X36) ) ) )
=> ( ! [X37] :
( ( f(X37)
& h(X37) )
=> g(X37) )
=> ? [X38] :
( g(X38)
& ~ h(X38)
& f(X38) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X0] :
( p(X0)
| c )
<=> ( ! [X0] : p(X0)
| c ) )
& ( ( ! [X3,X1,X0] :
( ( r(X1,X3)
& r(X0,X1) )
=> r(X0,X3) )
& ! [X1,X0] :
( r(X0,X1)
=> r(X1,X0) ) )
=> ! [X0,X1] :
( r(X0,X1)
=> r(X0,X0) ) )
& ( ? [X0] :
( p(X0)
& q(X0) )
=> ( ? [X0] : q(X0)
& ? [X0] : p(X0) ) )
& ( ~ ? [X1] : p(X1)
=> ! [X1] :
( ? [X0] : p(X0)
=> p(X1) ) )
& ( ! [X0] :
( p(X0)
=> c )
<=> ( ? [X0] : p(X0)
=> c ) )
& ( ! [X0] : p(X0)
=> ? [X0] : p(X0) )
& ( ( ! [X0] : p(X0)
& ! [X0] : q(X0) )
<=> ! [X0] :
( p(X0)
& q(X0) ) )
& ( ! [X0] :
( c
=> p(X0) )
<=> ( c
=> ! [X0] : p(X0) ) )
& ( ? [X0] : c
<=> c )
& ! [X1] :
( ! [X0] : p(X0)
=> p(X1) )
& ( ( c
=> ? [X0] : p(X0) )
<=> ? [X0] :
( c
=> p(X0) ) )
& ( ! [X0] : c
<=> c )
& ( ? [X0] :
( q(X0)
| p(X0) )
<=> ( ? [X0] : q(X0)
| ? [X0] : p(X0) ) )
& ( ( ! [X0] :
( ( ( f(X0)
& g(X0) )
=> h(X0) )
=> ? [X1] :
( f(X1)
& ~ g(X1) ) )
& ( ! [X3] :
( f(X3)
=> h(X3) )
| ! [X2] :
( f(X2)
=> g(X2) ) ) )
=> ( ! [X4] :
( ( f(X4)
& h(X4) )
=> g(X4) )
=> ? [X5] :
( ~ h(X5)
& g(X5)
& f(X5) ) ) )
& ( ( ? [X0] : p(X0)
& c )
<=> ? [X0] :
( p(X0)
& c ) )
& ( ? [X0] :
( p(X0)
=> c )
<=> ( ! [X0] : p(X0)
=> c ) )
& ? [X0] :
! [X1] :
( ( p(X1)
=> q(X0) )
=> ( p(X0)
=> q(X0) ) )
& ( ( ( ! [X0] :
( ( f(X0)
& g(X0) )
=> h(X0) )
=> ? [X0] :
( f(X0)
& ~ g(X0) ) )
& ( ! [X2] :
( f(X2)
=> g(X2) )
| ! [X3] :
( f(X3)
=> h(X3) ) ) )
=> ( ! [X4] :
( ( h(X4)
& f(X4) )
=> g(X4) )
=> ? [X5] :
( g(X5)
& f(X5)
& ~ h(X5) ) ) )
& ( ( ! [X0] : p(X0)
| ! [X0] : q(X0) )
=> ! [X0] :
( q(X0)
| p(X0) ) )
& ? [X1] :
( p(X1)
=> ! [X0] : p(X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X0] :
( p(X0)
| c )
<=> ( ! [X0] : p(X0)
| c ) )
& ( ( ! [X3,X1,X0] :
( ( r(X1,X3)
& r(X0,X1) )
=> r(X0,X3) )
& ! [X1,X0] :
( r(X0,X1)
=> r(X1,X0) ) )
=> ! [X0,X1] :
( r(X0,X1)
=> r(X0,X0) ) )
& ( ? [X0] :
( p(X0)
& q(X0) )
=> ( ? [X0] : q(X0)
& ? [X0] : p(X0) ) )
& ( ~ ? [X1] : p(X1)
=> ! [X1] :
( ? [X0] : p(X0)
=> p(X1) ) )
& ( ! [X0] :
( p(X0)
=> c )
<=> ( ? [X0] : p(X0)
=> c ) )
& ( ! [X0] : p(X0)
=> ? [X0] : p(X0) )
& ( ( ! [X0] : p(X0)
& ! [X0] : q(X0) )
<=> ! [X0] :
( p(X0)
& q(X0) ) )
& ( ! [X0] :
( c
=> p(X0) )
<=> ( c
=> ! [X0] : p(X0) ) )
& ( ? [X0] : c
<=> c )
& ! [X1] :
( ! [X0] : p(X0)
=> p(X1) )
& ( ( c
=> ? [X0] : p(X0) )
<=> ? [X0] :
( c
=> p(X0) ) )
& ( ! [X0] : c
<=> c )
& ( ? [X0] :
( q(X0)
| p(X0) )
<=> ( ? [X0] : q(X0)
| ? [X0] : p(X0) ) )
& ( ( ! [X0] :
( ( ( f(X0)
& g(X0) )
=> h(X0) )
=> ? [X1] :
( f(X1)
& ~ g(X1) ) )
& ( ! [X3] :
( f(X3)
=> h(X3) )
| ! [X2] :
( f(X2)
=> g(X2) ) ) )
=> ( ! [X4] :
( ( f(X4)
& h(X4) )
=> g(X4) )
=> ? [X5] :
( ~ h(X5)
& g(X5)
& f(X5) ) ) )
& ( ( ? [X0] : p(X0)
& c )
<=> ? [X0] :
( p(X0)
& c ) )
& ( ? [X0] :
( p(X0)
=> c )
<=> ( ! [X0] : p(X0)
=> c ) )
& ? [X0] :
! [X1] :
( ( p(X1)
=> q(X0) )
=> ( p(X0)
=> q(X0) ) )
& ( ( ( ! [X0] :
( ( f(X0)
& g(X0) )
=> h(X0) )
=> ? [X0] :
( f(X0)
& ~ g(X0) ) )
& ( ! [X2] :
( f(X2)
=> g(X2) )
| ! [X3] :
( f(X3)
=> h(X3) ) ) )
=> ( ! [X4] :
( ( h(X4)
& f(X4) )
=> g(X4) )
=> ? [X5] :
( g(X5)
& f(X5)
& ~ h(X5) ) ) )
& ( ( ! [X0] : p(X0)
| ! [X0] : q(X0) )
=> ! [X0] :
( q(X0)
| p(X0) ) )
& ? [X1] :
( p(X1)
=> ! [X0] : p(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f555,plain,
( ~ spl49_9
| ~ spl49_65
| ~ spl49_52 ),
inference(avatar_split_clause,[],[f192,f460,f529,f264]) ).
fof(f192,plain,
( ~ h(sK46)
| ~ g(sK45)
| ~ sP1 ),
inference(cnf_transformation,[],[f110]) ).
fof(f553,plain,
( spl49_68
| ~ spl49_38 ),
inference(avatar_split_clause,[],[f129,f390,f550]) ).
fof(f129,plain,
( ~ sP14
| p(sK23) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( ( ! [X0] : ~ p(X0)
| ! [X1] : ~ q(X1) )
& q(sK23)
& p(sK23) )
| ~ sP14 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f41,f42]) ).
fof(f42,plain,
( ? [X2] :
( q(X2)
& p(X2) )
=> ( q(sK23)
& p(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
( ( ( ! [X0] : ~ p(X0)
| ! [X1] : ~ q(X1) )
& ? [X2] :
( q(X2)
& p(X2) ) )
| ~ sP14 ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
( ( ( ! [X11] : ~ p(X11)
| ! [X10] : ~ q(X10) )
& ? [X9] :
( q(X9)
& p(X9) ) )
| ~ sP14 ),
inference(nnf_transformation,[],[f20]) ).
fof(f547,plain,
( spl49_16
| spl49_39
| spl49_36
| spl49_2
| spl49_42
| spl49_30
| spl49_41
| spl49_20
| spl49_43
| ~ spl49_45
| ~ spl49_3
| spl49_17
| spl49_8
| spl49_5
| spl49_38
| spl49_19
| spl49_10
| spl49_40
| spl49_7
| spl49_32 ),
inference(avatar_split_clause,[],[f211,f364,f255,f398,f269,f308,f390,f246,f260,f299,f238,f421,f410,f313,f402,f354,f406,f234,f380,f394,f295]) ).
fof(f211,plain,
! [X0] :
( sP9
| sP4
| sP15
| sP8
| sP18
| sP14
| sP7
| sP11
| ~ p(X0)
| ~ c
| ~ p(sK48)
| sP6
| sP12
| sP3
| sP2
| sP16
| sP5
| sP13
| sP17
| sP10 ),
inference(duplicate_literal_removal,[],[f205]) ).
fof(f205,plain,
! [X0] :
( sP17
| sP5
| sP9
| sP11
| sP2
| sP7
| sP3
| sP4
| sP18
| ~ c
| sP8
| sP13
| sP14
| sP10
| ~ c
| sP16
| ~ p(sK48)
| ~ p(X0)
| sP6
| sP12
| sP15 ),
inference(cnf_transformation,[],[f118]) ).
fof(f546,plain,
( spl49_5
| spl49_16
| spl49_32
| spl49_4
| spl49_4
| spl49_8
| spl49_39
| spl49_41
| spl49_42
| spl49_38
| spl49_20
| spl49_19
| spl49_36
| spl49_10
| spl49_2
| spl49_30
| spl49_43
| spl49_7
| ~ spl49_3
| spl49_40 ),
inference(avatar_split_clause,[],[f212,f398,f238,f255,f410,f354,f234,f269,f380,f308,f313,f390,f406,f402,f394,f260,f243,f243,f364,f295,f246]) ).
fof(f212,plain,
! [X2,X1] :
( sP15
| ~ c
| sP4
| sP6
| sP2
| sP5
| sP8
| sP13
| sP18
| sP12
| sP14
| sP16
| sP3
| sP17
| sP11
| p(X2)
| p(X1)
| sP9
| sP10
| sP7 ),
inference(duplicate_literal_removal,[],[f202]) ).
fof(f202,plain,
! [X2,X1] :
( p(X2)
| p(X1)
| sP7
| ~ c
| sP10
| sP14
| sP16
| ~ c
| sP4
| sP2
| sP18
| sP15
| sP3
| sP6
| sP13
| sP12
| sP5
| sP17
| sP11
| sP8
| sP9 ),
inference(cnf_transformation,[],[f118]) ).
fof(f544,plain,
( spl49_17
| ~ spl49_3
| spl49_17
| ~ spl49_7 ),
inference(avatar_split_clause,[],[f213,f255,f299,f238,f299]) ).
fof(f213,plain,
! [X0,X1] :
( ~ sP4
| ~ p(X1)
| ~ c
| ~ p(X0) ),
inference(duplicate_literal_removal,[],[f177]) ).
fof(f177,plain,
! [X0,X1] :
( ~ c
| ~ c
| ~ sP4
| ~ p(X0)
| ~ p(X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( ( ! [X0] :
( ~ p(X0)
| ~ c )
| ~ c
| ! [X1] : ~ p(X1) )
& ( ( p(sK41)
& c )
| ( c
& p(sK42) ) ) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42])],[f94,f96,f95]) ).
fof(f95,plain,
( ? [X2] :
( p(X2)
& c )
=> ( p(sK41)
& c ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
( ? [X3] : p(X3)
=> p(sK42) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
( ( ( ! [X0] :
( ~ p(X0)
| ~ c )
| ~ c
| ! [X1] : ~ p(X1) )
& ( ? [X2] :
( p(X2)
& c )
| ( c
& ? [X3] : p(X3) ) ) )
| ~ sP4 ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
( ( ( ! [X40] :
( ~ p(X40)
| ~ c )
| ~ c
| ! [X39] : ~ p(X39) )
& ( ? [X40] :
( p(X40)
& c )
| ( c
& ? [X39] : p(X39) ) ) )
| ~ sP4 ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
( ( ( ! [X40] :
( ~ p(X40)
| ~ c )
| ~ c
| ! [X39] : ~ p(X39) )
& ( ? [X40] :
( p(X40)
& c )
| ( c
& ? [X39] : p(X39) ) ) )
| ~ sP4 ),
inference(nnf_transformation,[],[f10]) ).
fof(f543,plain,
( spl49_51
| spl49_67
| ~ spl49_9 ),
inference(avatar_split_clause,[],[f188,f264,f540,f456]) ).
fof(f188,plain,
( ~ sP1
| f(sK46)
| f(sK45) ),
inference(cnf_transformation,[],[f110]) ).
fof(f538,plain,
( spl49_48
| spl49_3
| ~ spl49_7 ),
inference(avatar_split_clause,[],[f176,f255,f238,f435]) ).
fof(f176,plain,
( ~ sP4
| c
| p(sK41) ),
inference(cnf_transformation,[],[f97]) ).
fof(f537,plain,
( spl49_46
| ~ spl49_36 ),
inference(avatar_split_clause,[],[f132,f380,f427]) ).
fof(f132,plain,
! [X0] :
( ~ sP13
| ~ q(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f527,plain,
( spl49_37
| spl49_64
| ~ spl49_24 ),
inference(avatar_split_clause,[],[f195,f328,f525,f385]) ).
fof(f195,plain,
! [X0] :
( ~ sP0
| ~ h(X0)
| f(sK47) ),
inference(cnf_transformation,[],[f114]) ).
fof(f523,plain,
( ~ spl49_43
| ~ spl49_63 ),
inference(avatar_split_clause,[],[f166,f520,f410]) ).
fof(f166,plain,
( ~ r(sK37,sK37)
| ~ sP6 ),
inference(cnf_transformation,[],[f85]) ).
fof(f518,plain,
( ~ spl49_8
| spl49_49 ),
inference(avatar_split_clause,[],[f143,f444,f260]) ).
fof(f143,plain,
! [X0] :
( ~ f(X0)
| h(X0)
| ~ g(X0)
| ~ sP11 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( ! [X0] :
( ~ g(X0)
| ~ f(X0)
| h(X0) )
& sP1
& ! [X1] :
( ~ h(X1)
| ~ f(X1)
| g(X1) )
& ( ! [X2] :
( g(X2)
| ~ f(X2) )
| ! [X3] :
( h(X3)
| ~ f(X3) ) ) )
| ~ sP11 ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
( ( ! [X50] :
( ~ g(X50)
| ~ f(X50)
| h(X50) )
& sP1
& ! [X49] :
( ~ h(X49)
| ~ f(X49)
| g(X49) )
& ( ! [X47] :
( g(X47)
| ~ f(X47) )
| ! [X48] :
( h(X48)
| ~ f(X48) ) ) )
| ~ sP11 ),
inference(nnf_transformation,[],[f17]) ).
fof(f516,plain,
( spl49_20
| spl49_38
| spl49_32
| spl49_30
| spl49_7
| spl49_8
| spl49_19
| spl49_36
| spl49_16
| spl49_40
| spl49_42
| spl49_5
| spl49_10
| spl49_3
| ~ spl49_45
| spl49_2
| spl49_43
| spl49_39
| spl49_41
| spl49_17 ),
inference(avatar_split_clause,[],[f214,f299,f402,f394,f410,f234,f421,f238,f269,f246,f406,f398,f295,f380,f308,f260,f255,f354,f364,f390,f313]) ).
fof(f214,plain,
! [X0] :
( ~ p(X0)
| sP3
| sP17
| sP6
| sP5
| ~ p(sK48)
| c
| sP8
| sP7
| sP16
| sP15
| sP10
| sP13
| sP18
| sP11
| sP4
| sP2
| sP9
| sP14
| sP12 ),
inference(duplicate_literal_removal,[],[f203]) ).
fof(f203,plain,
! [X0] :
( sP17
| c
| ~ p(sK48)
| sP7
| sP10
| sP6
| sP8
| c
| sP12
| sP2
| sP4
| sP3
| sP9
| sP13
| sP5
| sP16
| sP14
| sP15
| sP18
| ~ p(X0)
| sP11 ),
inference(cnf_transformation,[],[f118]) ).
fof(f515,plain,
( ~ spl49_62
| ~ spl49_40 ),
inference(avatar_split_clause,[],[f127,f398,f512]) ).
fof(f127,plain,
( ~ sP15
| ~ p(sK22) ),
inference(cnf_transformation,[],[f39]) ).
fof(f510,plain,
( spl49_4
| ~ spl49_20
| spl49_4 ),
inference(avatar_split_clause,[],[f137,f243,f313,f243]) ).
fof(f137,plain,
! [X3,X5] :
( p(X5)
| ~ sP12
| p(X3) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( ( ~ p(sK25)
| ~ q(sK26)
| ~ q(sK27)
| ~ p(sK27) )
& ( ( ! [X3] : p(X3)
& ! [X4] : q(X4) )
| ! [X5] :
( q(X5)
& p(X5) ) ) )
| ~ sP12 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26,sK27])],[f50,f53,f52,f51]) ).
fof(f51,plain,
( ? [X0] : ~ p(X0)
=> ~ p(sK25) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
( ? [X1] : ~ q(X1)
=> ~ q(sK26) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
( ? [X2] :
( ~ q(X2)
| ~ p(X2) )
=> ( ~ q(sK27)
| ~ p(sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
( ( ( ? [X0] : ~ p(X0)
| ? [X1] : ~ q(X1)
| ? [X2] :
( ~ q(X2)
| ~ p(X2) ) )
& ( ( ! [X3] : p(X3)
& ! [X4] : q(X4) )
| ! [X5] :
( q(X5)
& p(X5) ) ) )
| ~ sP12 ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
( ( ( ? [X19] : ~ p(X19)
| ? [X20] : ~ q(X20)
| ? [X21] :
( ~ q(X21)
| ~ p(X21) ) )
& ( ( ! [X19] : p(X19)
& ! [X20] : q(X20) )
| ! [X21] :
( q(X21)
& p(X21) ) ) )
| ~ sP12 ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
( ( ( ? [X19] : ~ p(X19)
| ? [X20] : ~ q(X20)
| ? [X21] :
( ~ q(X21)
| ~ p(X21) ) )
& ( ( ! [X19] : p(X19)
& ! [X20] : q(X20) )
| ! [X21] :
( q(X21)
& p(X21) ) ) )
| ~ sP12 ),
inference(nnf_transformation,[],[f18]) ).
fof(f509,plain,
( ~ spl49_32
| spl49_3 ),
inference(avatar_split_clause,[],[f215,f238,f364]) ).
fof(f215,plain,
( c
| ~ sP9 ),
inference(duplicate_literal_removal,[],[f150]) ).
fof(f150,plain,
( c
| c
| ~ sP9 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( ( ( ~ p(sK30)
& c )
| ( ~ p(sK31)
& c ) )
& ( ! [X2] : p(X2)
| ~ c
| ! [X3] :
( p(X3)
| ~ c ) ) )
| ~ sP9 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31])],[f65,f67,f66]) ).
fof(f66,plain,
( ? [X0] : ~ p(X0)
=> ~ p(sK30) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
( ? [X1] :
( ~ p(X1)
& c )
=> ( ~ p(sK31)
& c ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
( ( ( ( ? [X0] : ~ p(X0)
& c )
| ? [X1] :
( ~ p(X1)
& c ) )
& ( ! [X2] : p(X2)
| ~ c
| ! [X3] :
( p(X3)
| ~ c ) ) )
| ~ sP9 ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
( ( ( ( ? [X23] : ~ p(X23)
& c )
| ? [X22] :
( ~ p(X22)
& c ) )
& ( ! [X23] : p(X23)
| ~ c
| ! [X22] :
( p(X22)
| ~ c ) ) )
| ~ sP9 ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
( ( ( ( ? [X23] : ~ p(X23)
& c )
| ? [X22] :
( ~ p(X22)
& c ) )
& ( ! [X23] : p(X23)
| ~ c
| ! [X22] :
( p(X22)
| ~ c ) ) )
| ~ sP9 ),
inference(nnf_transformation,[],[f15]) ).
fof(f508,plain,
( spl49_3
| ~ spl49_60
| ~ spl49_61
| ~ spl49_5 ),
inference(avatar_split_clause,[],[f216,f246,f505,f501,f238]) ).
fof(f216,plain,
( ~ sP7
| ~ p(sK36)
| ~ p(sK35)
| c ),
inference(duplicate_literal_removal,[],[f159]) ).
fof(f159,plain,
( c
| c
| ~ sP7
| ~ p(sK36)
| ~ p(sK35) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( ( ( ! [X0] : p(X0)
& ~ c )
| ! [X1] :
( ~ c
& p(X1) ) )
& ( ~ p(sK35)
| c
| c
| ~ p(sK36) ) )
| ~ sP7 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36])],[f78,f80,f79]) ).
fof(f79,plain,
( ? [X2] : ~ p(X2)
=> ~ p(sK35) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
( ? [X3] :
( c
| ~ p(X3) )
=> ( c
| ~ p(sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( ( ( ( ! [X0] : p(X0)
& ~ c )
| ! [X1] :
( ~ c
& p(X1) ) )
& ( ? [X2] : ~ p(X2)
| c
| ? [X3] :
( c
| ~ p(X3) ) ) )
| ~ sP7 ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
( ( ( ( ! [X42] : p(X42)
& ~ c )
| ! [X41] :
( ~ c
& p(X41) ) )
& ( ? [X42] : ~ p(X42)
| c
| ? [X41] :
( c
| ~ p(X41) ) ) )
| ~ sP7 ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
( ( ( ( ! [X42] : p(X42)
& ~ c )
| ! [X41] :
( ~ c
& p(X41) ) )
& ( ? [X42] : ~ p(X42)
| c
| ? [X41] :
( c
| ~ p(X41) ) ) )
| ~ sP7 ),
inference(nnf_transformation,[],[f13]) ).
fof(f499,plain,
( ~ spl49_39
| spl49_3 ),
inference(avatar_split_clause,[],[f217,f238,f394]) ).
fof(f217,plain,
( c
| ~ sP17 ),
inference(duplicate_literal_removal,[],[f121]) ).
fof(f121,plain,
( c
| ~ sP17
| c ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( ( ~ c
| ~ c )
& ( c
| c ) )
| ~ sP17 ),
inference(nnf_transformation,[],[f23]) ).
fof(f498,plain,
( ~ spl49_43
| spl49_59 ),
inference(avatar_split_clause,[],[f165,f495,f410]) ).
fof(f165,plain,
( r(sK37,sK38)
| ~ sP6 ),
inference(cnf_transformation,[],[f85]) ).
fof(f493,plain,
( spl49_4
| ~ spl49_32
| ~ spl49_3
| spl49_4 ),
inference(avatar_split_clause,[],[f218,f243,f238,f364,f243]) ).
fof(f218,plain,
! [X2,X3] :
( p(X3)
| ~ c
| ~ sP9
| p(X2) ),
inference(duplicate_literal_removal,[],[f149]) ).
fof(f149,plain,
! [X2,X3] :
( p(X2)
| ~ sP9
| ~ c
| p(X3)
| ~ c ),
inference(cnf_transformation,[],[f68]) ).
fof(f492,plain,
( ~ spl49_30
| ~ spl49_3 ),
inference(avatar_split_clause,[],[f219,f238,f354]) ).
fof(f219,plain,
( ~ c
| ~ sP2 ),
inference(duplicate_literal_removal,[],[f183]) ).
fof(f183,plain,
( ~ c
| ~ c
| ~ sP2 ),
inference(cnf_transformation,[],[f105]) ).
fof(f491,plain,
( ~ spl49_16
| spl49_3 ),
inference(avatar_split_clause,[],[f220,f238,f295]) ).
fof(f220,plain,
( c
| ~ sP10 ),
inference(duplicate_literal_removal,[],[f147]) ).
fof(f147,plain,
( c
| c
| ~ sP10 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( ( ( c
& ! [X0] : ~ p(X0) )
| ! [X1] :
( ~ p(X1)
& c ) )
& ( ~ c
| p(sK28)
| p(sK29)
| ~ c ) )
| ~ sP10 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f59,f61,f60]) ).
fof(f60,plain,
( ? [X2] : p(X2)
=> p(sK28) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
( ? [X3] :
( p(X3)
| ~ c )
=> ( p(sK29)
| ~ c ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
( ( ( ( c
& ! [X0] : ~ p(X0) )
| ! [X1] :
( ~ p(X1)
& c ) )
& ( ~ c
| ? [X2] : p(X2)
| ? [X3] :
( p(X3)
| ~ c ) ) )
| ~ sP10 ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
( ( ( ( c
& ! [X27] : ~ p(X27) )
| ! [X28] :
( ~ p(X28)
& c ) )
& ( ~ c
| ? [X27] : p(X27)
| ? [X28] :
( p(X28)
| ~ c ) ) )
| ~ sP10 ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
( ( ( ( c
& ! [X27] : ~ p(X27) )
| ! [X28] :
( ~ p(X28)
& c ) )
& ( ~ c
| ? [X27] : p(X27)
| ? [X28] :
( p(X28)
| ~ c ) ) )
| ~ sP10 ),
inference(nnf_transformation,[],[f16]) ).
fof(f490,plain,
( ~ spl49_55
| ~ spl49_56
| ~ spl49_57
| ~ spl49_20
| ~ spl49_58 ),
inference(avatar_split_clause,[],[f139,f487,f313,f483,f479,f475]) ).
fof(f139,plain,
( ~ q(sK27)
| ~ sP12
| ~ q(sK26)
| ~ p(sK27)
| ~ p(sK25) ),
inference(cnf_transformation,[],[f54]) ).
fof(f473,plain,
( spl49_17
| ~ spl49_2
| spl49_17
| spl49_3 ),
inference(avatar_split_clause,[],[f221,f238,f299,f234,f299]) ).
fof(f221,plain,
! [X2,X3] :
( c
| ~ p(X2)
| ~ sP5
| ~ p(X3) ),
inference(duplicate_literal_removal,[],[f168]) ).
fof(f168,plain,
! [X2,X3] :
( ~ sP5
| c
| ~ p(X3)
| c
| ~ p(X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f467,plain,
( ~ spl49_43
| spl49_53 ),
inference(avatar_split_clause,[],[f167,f465,f410]) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ r(X1,X0)
| ~ sP6
| r(X2,X0)
| ~ r(X2,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f463,plain,
( spl49_51
| ~ spl49_52
| ~ spl49_9 ),
inference(avatar_split_clause,[],[f189,f264,f460,f456]) ).
fof(f189,plain,
( ~ sP1
| ~ h(sK46)
| f(sK45) ),
inference(cnf_transformation,[],[f110]) ).
fof(f454,plain,
( spl49_50
| ~ spl49_38 ),
inference(avatar_split_clause,[],[f130,f390,f451]) ).
fof(f130,plain,
( ~ sP14
| q(sK23) ),
inference(cnf_transformation,[],[f43]) ).
fof(f449,plain,
( spl49_21
| spl49_21
| ~ spl49_20 ),
inference(avatar_split_clause,[],[f136,f313,f317,f317]) ).
fof(f136,plain,
! [X4,X5] :
( ~ sP12
| q(X4)
| q(X5) ),
inference(cnf_transformation,[],[f54]) ).
fof(f447,plain,
( ~ spl49_8
| spl49_47 ),
inference(avatar_split_clause,[],[f141,f431,f260]) ).
fof(f141,plain,
! [X1] :
( ~ f(X1)
| g(X1)
| ~ sP11
| ~ h(X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f446,plain,
( ~ spl49_41
| spl49_49 ),
inference(avatar_split_clause,[],[f181,f444,f402]) ).
fof(f181,plain,
! [X0] :
( ~ f(X0)
| ~ g(X0)
| h(X0)
| ~ sP3 ),
inference(cnf_transformation,[],[f99]) ).
fof(f442,plain,
( ~ spl49_38
| spl49_46
| spl49_17 ),
inference(avatar_split_clause,[],[f131,f299,f427,f390]) ).
fof(f131,plain,
! [X0,X1] :
( ~ p(X0)
| ~ q(X1)
| ~ sP14 ),
inference(cnf_transformation,[],[f43]) ).
fof(f440,plain,
( ~ spl49_7
| spl49_3 ),
inference(avatar_split_clause,[],[f223,f238,f255]) ).
fof(f223,plain,
( c
| ~ sP4 ),
inference(duplicate_literal_removal,[],[f174]) ).
fof(f174,plain,
( c
| ~ sP4
| c ),
inference(cnf_transformation,[],[f97]) ).
fof(f438,plain,
( ~ spl49_7
| spl49_6
| spl49_48 ),
inference(avatar_split_clause,[],[f175,f435,f251,f255]) ).
fof(f175,plain,
( p(sK41)
| p(sK42)
| ~ sP4 ),
inference(cnf_transformation,[],[f97]) ).
fof(f433,plain,
( ~ spl49_41
| spl49_47 ),
inference(avatar_split_clause,[],[f179,f431,f402]) ).
fof(f179,plain,
! [X3] :
( ~ f(X3)
| g(X3)
| ~ h(X3)
| ~ sP3 ),
inference(cnf_transformation,[],[f99]) ).
fof(f429,plain,
( spl49_46
| spl49_46
| ~ spl49_10 ),
inference(avatar_split_clause,[],[f158,f269,f427,f427]) ).
fof(f158,plain,
! [X2,X0] :
( ~ sP8
| ~ q(X0)
| ~ q(X2) ),
inference(cnf_transformation,[],[f75]) ).
fof(f425,plain,
( spl49_17
| spl49_17
| ~ spl49_16 ),
inference(avatar_split_clause,[],[f146,f295,f299,f299]) ).
fof(f146,plain,
! [X0,X1] :
( ~ sP10
| ~ p(X1)
| ~ p(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f419,plain,
( ~ spl49_3
| ~ spl49_39 ),
inference(avatar_split_clause,[],[f225,f394,f238]) ).
fof(f225,plain,
( ~ sP17
| ~ c ),
inference(duplicate_literal_removal,[],[f122]) ).
fof(f122,plain,
( ~ c
| ~ sP17
| ~ c ),
inference(cnf_transformation,[],[f30]) ).
fof(f388,plain,
( spl49_26
| spl49_37
| ~ spl49_24 ),
inference(avatar_split_clause,[],[f193,f328,f385,f336]) ).
fof(f193,plain,
! [X0] :
( ~ sP0
| f(sK47)
| f(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f383,plain,
( spl49_35
| ~ spl49_36 ),
inference(avatar_split_clause,[],[f134,f380,f377]) ).
fof(f134,plain,
! [X0] :
( ~ sP13
| q(X0)
| ~ p(sK24(X0)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f375,plain,
( ~ spl49_32
| ~ spl49_33
| ~ spl49_34 ),
inference(avatar_split_clause,[],[f153,f372,f368,f364]) ).
fof(f153,plain,
( ~ p(sK31)
| ~ p(sK30)
| ~ sP9 ),
inference(cnf_transformation,[],[f68]) ).
fof(f362,plain,
( ~ spl49_29
| ~ spl49_31
| ~ spl49_30 ),
inference(avatar_split_clause,[],[f186,f354,f359,f350]) ).
fof(f186,plain,
( ~ sP2
| ~ p(sK43)
| ~ p(sK44) ),
inference(cnf_transformation,[],[f105]) ).
fof(f348,plain,
( ~ spl49_3
| ~ spl49_5 ),
inference(avatar_split_clause,[],[f227,f246,f238]) ).
fof(f227,plain,
( ~ sP7
| ~ c ),
inference(duplicate_literal_removal,[],[f161]) ).
fof(f161,plain,
( ~ sP7
| ~ c
| ~ c ),
inference(cnf_transformation,[],[f81]) ).
fof(f347,plain,
( ~ spl49_16
| spl49_27
| spl49_28
| ~ spl49_3 ),
inference(avatar_split_clause,[],[f228,f238,f344,f340,f295]) ).
fof(f228,plain,
( ~ c
| p(sK28)
| p(sK29)
| ~ sP10 ),
inference(duplicate_literal_removal,[],[f144]) ).
fof(f144,plain,
( ~ c
| ~ sP10
| p(sK28)
| p(sK29)
| ~ c ),
inference(cnf_transformation,[],[f62]) ).
fof(f338,plain,
( ~ spl49_24
| ~ spl49_25
| spl49_26 ),
inference(avatar_split_clause,[],[f196,f336,f332,f328]) ).
fof(f196,plain,
! [X0] :
( f(X0)
| ~ g(sK47)
| ~ sP0 ),
inference(cnf_transformation,[],[f114]) ).
fof(f326,plain,
( spl49_22
| spl49_23
| ~ spl49_8 ),
inference(avatar_split_clause,[],[f140,f260,f324,f321]) ).
fof(f140,plain,
! [X2,X3] :
( ~ sP11
| h(X3)
| g(X2)
| ~ f(X3)
| ~ f(X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f311,plain,
( ~ spl49_18
| ~ spl49_19 ),
inference(avatar_split_clause,[],[f120,f308,f304]) ).
fof(f120,plain,
( ~ sP18
| ~ p(sK19) ),
inference(cnf_transformation,[],[f29]) ).
fof(f302,plain,
( ~ spl49_2
| spl49_15
| spl49_1 ),
inference(avatar_split_clause,[],[f172,f230,f290,f234]) ).
fof(f172,plain,
( p(sK40)
| p(sK39)
| ~ sP5 ),
inference(cnf_transformation,[],[f91]) ).
fof(f288,plain,
( ~ spl49_10
| spl49_11
| spl49_12
| spl49_13
| spl49_14 ),
inference(avatar_split_clause,[],[f154,f285,f281,f277,f273,f269]) ).
fof(f154,plain,
( p(sK34)
| q(sK32)
| q(sK34)
| p(sK33)
| ~ sP8 ),
inference(cnf_transformation,[],[f75]) ).
fof(f267,plain,
( ~ spl49_8
| spl49_9 ),
inference(avatar_split_clause,[],[f142,f264,f260]) ).
fof(f142,plain,
( sP1
| ~ sP11 ),
inference(cnf_transformation,[],[f56]) ).
fof(f249,plain,
( spl49_4
| spl49_4
| ~ spl49_5 ),
inference(avatar_split_clause,[],[f162,f246,f243,f243]) ).
fof(f162,plain,
! [X0,X1] :
( ~ sP7
| p(X0)
| p(X1) ),
inference(cnf_transformation,[],[f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SYN917+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.37 % Computer : n020.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Aug 30 22:33:30 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.22/0.49 % (11405)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.50 % (11405)First to succeed.
% 0.22/0.50 % (11413)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)
% 0.22/0.50 % (11398)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)
% 0.22/0.52 % (11405)Refutation found. Thanks to Tanya!
% 0.22/0.52 % SZS status Theorem for theBenchmark
% 0.22/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.52 % (11405)------------------------------
% 0.22/0.52 % (11405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.52 % (11405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.52 % (11405)Termination reason: Refutation
% 0.22/0.52
% 0.22/0.52 % (11405)Memory used [KB]: 6012
% 0.22/0.52 % (11405)Time elapsed: 0.085 s
% 0.22/0.52 % (11405)Instructions burned: 9 (million)
% 0.22/0.52 % (11405)------------------------------
% 0.22/0.52 % (11405)------------------------------
% 0.22/0.52 % (11386)Success in time 0.143 s
%------------------------------------------------------------------------------