TSTP Solution File: LCL676+1.001 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL676+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 13:48:47 EDT 2024
% Result : Theorem 34.77s 5.37s
% Output : Refutation 34.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 59
% Syntax : Number of formulae : 234 ( 3 unt; 0 def)
% Number of atoms : 1821 ( 0 equ)
% Maximal formula atoms : 123 ( 7 avg)
% Number of connectives : 2710 (1123 ~;1137 |; 409 &)
% ( 22 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 44 ( 43 usr; 23 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-1 aty)
% Number of variables : 693 ( 508 !; 185 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f119607,plain,
$false,
inference(avatar_sat_refutation,[],[f226,f230,f239,f244,f249,f1708,f2543,f5684,f6734,f7579,f8346,f26606,f26642,f27132,f27137,f27901,f28755,f44136,f71773,f71864,f74260,f119496,f119606]) ).
fof(f119606,plain,
( ~ spl52_9
| spl52_10
| ~ spl52_11
| spl52_638
| ~ spl52_639
| spl52_1181
| ~ spl52_6237
| ~ spl52_10310 ),
inference(avatar_contradiction_clause,[],[f119605]) ).
fof(f119605,plain,
( $false
| ~ spl52_9
| spl52_10
| ~ spl52_11
| spl52_638
| ~ spl52_639
| spl52_1181
| ~ spl52_6237
| ~ spl52_10310 ),
inference(subsumption_resolution,[],[f119604,f243]) ).
fof(f243,plain,
( ~ p2(sK51)
| spl52_10 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl52_10
<=> p2(sK51) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_10])]) ).
fof(f119604,plain,
( p2(sK51)
| ~ spl52_9
| ~ spl52_11
| spl52_638
| ~ spl52_639
| spl52_1181
| ~ spl52_6237
| ~ spl52_10310 ),
inference(subsumption_resolution,[],[f119600,f248]) ).
fof(f248,plain,
( r1(sK41,sK51)
| ~ spl52_11 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl52_11
<=> r1(sK41,sK51) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_11])]) ).
fof(f119600,plain,
( ~ r1(sK41,sK51)
| p2(sK51)
| ~ spl52_9
| spl52_638
| ~ spl52_639
| spl52_1181
| ~ spl52_6237
| ~ spl52_10310 ),
inference(resolution,[],[f74259,f75079]) ).
fof(f75079,plain,
( r1(sK42(sK51),sK39(sK42(sK42(sK51))))
| ~ spl52_9
| spl52_638
| ~ spl52_639
| spl52_1181
| ~ spl52_6237 ),
inference(subsumption_resolution,[],[f75078,f44045]) ).
fof(f44045,plain,
( r1(sK41,sK42(sK51))
| ~ spl52_6237 ),
inference(avatar_component_clause,[],[f44044]) ).
fof(f44044,plain,
( spl52_6237
<=> r1(sK41,sK42(sK51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_6237])]) ).
fof(f75078,plain,
( r1(sK42(sK51),sK39(sK42(sK42(sK51))))
| ~ r1(sK41,sK42(sK51))
| ~ spl52_9
| spl52_638
| ~ spl52_639
| spl52_1181 ),
inference(subsumption_resolution,[],[f75076,f4541]) ).
fof(f4541,plain,
( ~ p2(sK42(sK51))
| spl52_638 ),
inference(avatar_component_clause,[],[f4540]) ).
fof(f4540,plain,
( spl52_638
<=> p2(sK42(sK51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_638])]) ).
fof(f75076,plain,
( r1(sK42(sK51),sK39(sK42(sK42(sK51))))
| p2(sK42(sK51))
| ~ r1(sK41,sK42(sK51))
| ~ spl52_9
| ~ spl52_639
| spl52_1181 ),
inference(resolution,[],[f73570,f532]) ).
fof(f532,plain,
! [X0,X1] :
( ~ r1(sK42(X0),X1)
| r1(X0,X1)
| p2(X0)
| ~ r1(sK41,X0) ),
inference(resolution,[],[f199,f195]) ).
fof(f195,plain,
! [X1] :
( r1(X1,sK42(X1))
| p2(X1)
| ~ r1(sK41,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK42(X1),X3) )
& ~ p2(sK42(X1))
& r1(X1,sK42(X1)) )
| p2(X1)
| ~ r1(sK41,X1) )
& ( ( sP14(sK43)
& sP13(sK43)
& r1(sK41,sK43) )
| sP15(sK41) )
& ! [X6] :
( ( p1(sK44(X6))
& ~ p1(sK45(X6))
& r1(sK44(X6),sK45(X6))
& r1(X6,sK44(X6)) )
| p1(X6)
| ~ r1(sK41,X6) )
& ~ p1(sK46)
& r1(sK41,sK46)
& ( sP3(sK41)
| ! [X10] :
( ( p3(sK47(X10))
& r1(X10,sK47(X10)) )
| ~ r1(sK41,X10) ) )
& ! [X12] :
( ( p4(sK48(X12))
& ~ p4(sK49(X12))
& r1(sK48(X12),sK49(X12))
& r1(X12,sK48(X12)) )
| p4(X12)
| ~ r1(sK41,X12) )
& ~ p4(sK50)
& r1(sK41,sK50)
& ( ( sP0(sK41)
& ~ p2(sK51)
& r1(sK41,sK51) )
| sP1(sK41) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49,sK50,sK51])],[f99,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100]) ).
fof(f100,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( sP14(X5)
& sP13(X5)
& r1(X0,X5) )
| sP15(X0) )
& ! [X6] :
( ? [X7] :
( p1(X7)
& ? [X8] :
( ~ p1(X8)
& r1(X7,X8) )
& r1(X6,X7) )
| p1(X6)
| ~ r1(X0,X6) )
& ? [X9] :
( ~ p1(X9)
& r1(X0,X9) )
& ( sP3(X0)
| ! [X10] :
( ? [X11] :
( p3(X11)
& r1(X10,X11) )
| ~ r1(X0,X10) ) )
& ! [X12] :
( ? [X13] :
( p4(X13)
& ? [X14] :
( ~ p4(X14)
& r1(X13,X14) )
& r1(X12,X13) )
| p4(X12)
| ~ r1(X0,X12) )
& ? [X15] :
( ~ p4(X15)
& r1(X0,X15) )
& ( ( sP0(X0)
& ? [X16] :
( ~ p2(X16)
& r1(X0,X16) ) )
| sP1(X0) ) )
=> ( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(sK41,X1) )
& ( ? [X5] :
( sP14(X5)
& sP13(X5)
& r1(sK41,X5) )
| sP15(sK41) )
& ! [X6] :
( ? [X7] :
( p1(X7)
& ? [X8] :
( ~ p1(X8)
& r1(X7,X8) )
& r1(X6,X7) )
| p1(X6)
| ~ r1(sK41,X6) )
& ? [X9] :
( ~ p1(X9)
& r1(sK41,X9) )
& ( sP3(sK41)
| ! [X10] :
( ? [X11] :
( p3(X11)
& r1(X10,X11) )
| ~ r1(sK41,X10) ) )
& ! [X12] :
( ? [X13] :
( p4(X13)
& ? [X14] :
( ~ p4(X14)
& r1(X13,X14) )
& r1(X12,X13) )
| p4(X12)
| ~ r1(sK41,X12) )
& ? [X15] :
( ~ p4(X15)
& r1(sK41,X15) )
& ( ( sP0(sK41)
& ? [X16] :
( ~ p2(X16)
& r1(sK41,X16) ) )
| sP1(sK41) ) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK42(X1),X3) )
& ~ p2(sK42(X1))
& r1(X1,sK42(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
( ? [X5] :
( sP14(X5)
& sP13(X5)
& r1(sK41,X5) )
=> ( sP14(sK43)
& sP13(sK43)
& r1(sK41,sK43) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X6] :
( ? [X7] :
( p1(X7)
& ? [X8] :
( ~ p1(X8)
& r1(X7,X8) )
& r1(X6,X7) )
=> ( p1(sK44(X6))
& ? [X8] :
( ~ p1(X8)
& r1(sK44(X6),X8) )
& r1(X6,sK44(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X6] :
( ? [X8] :
( ~ p1(X8)
& r1(sK44(X6),X8) )
=> ( ~ p1(sK45(X6))
& r1(sK44(X6),sK45(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
( ? [X9] :
( ~ p1(X9)
& r1(sK41,X9) )
=> ( ~ p1(sK46)
& r1(sK41,sK46) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X10] :
( ? [X11] :
( p3(X11)
& r1(X10,X11) )
=> ( p3(sK47(X10))
& r1(X10,sK47(X10)) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X12] :
( ? [X13] :
( p4(X13)
& ? [X14] :
( ~ p4(X14)
& r1(X13,X14) )
& r1(X12,X13) )
=> ( p4(sK48(X12))
& ? [X14] :
( ~ p4(X14)
& r1(sK48(X12),X14) )
& r1(X12,sK48(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
! [X12] :
( ? [X14] :
( ~ p4(X14)
& r1(sK48(X12),X14) )
=> ( ~ p4(sK49(X12))
& r1(sK48(X12),sK49(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
( ? [X15] :
( ~ p4(X15)
& r1(sK41,X15) )
=> ( ~ p4(sK50)
& r1(sK41,sK50) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
( ? [X16] :
( ~ p2(X16)
& r1(sK41,X16) )
=> ( ~ p2(sK51)
& r1(sK41,sK51) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( sP14(X5)
& sP13(X5)
& r1(X0,X5) )
| sP15(X0) )
& ! [X6] :
( ? [X7] :
( p1(X7)
& ? [X8] :
( ~ p1(X8)
& r1(X7,X8) )
& r1(X6,X7) )
| p1(X6)
| ~ r1(X0,X6) )
& ? [X9] :
( ~ p1(X9)
& r1(X0,X9) )
& ( sP3(X0)
| ! [X10] :
( ? [X11] :
( p3(X11)
& r1(X10,X11) )
| ~ r1(X0,X10) ) )
& ! [X12] :
( ? [X13] :
( p4(X13)
& ? [X14] :
( ~ p4(X14)
& r1(X13,X14) )
& r1(X12,X13) )
| p4(X12)
| ~ r1(X0,X12) )
& ? [X15] :
( ~ p4(X15)
& r1(X0,X15) )
& ( ( sP0(X0)
& ? [X16] :
( ~ p2(X16)
& r1(X0,X16) ) )
| sP1(X0) ) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( sP14(X5)
& sP13(X5)
& r1(X0,X5) )
| sP15(X0) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ( sP3(X0)
| ! [X52] :
( ? [X53] :
( p3(X53)
& r1(X52,X53) )
| ~ r1(X0,X52) ) )
& ! [X54] :
( ? [X55] :
( p4(X55)
& ? [X56] :
( ~ p4(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
& ? [X57] :
( ~ p4(X57)
& r1(X0,X57) )
& ( ( sP0(X0)
& ? [X61] :
( ~ p2(X61)
& r1(X0,X61) ) )
| sP1(X0) ) ),
inference(definition_folding,[],[f8,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11]) ).
fof(f11,plain,
! [X0] :
( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f12,plain,
! [X0] :
( ? [X62] :
( ? [X63] :
( ! [X64] :
( ~ p3(X64)
| ~ r1(X63,X64) )
& r1(X62,X63) )
& ~ p1(X62)
& r1(X0,X62) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f13,plain,
! [X0] :
( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f14,plain,
! [X0] :
( ( sP2(X0)
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f15,plain,
! [X0] :
( ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f16,plain,
! [X0] :
( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0)
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f17,plain,
! [X5] :
( ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) )
| ~ sP6(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f18,plain,
! [X5] :
( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
| ~ sP7(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f19,plain,
! [X16] :
( ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) )
| ~ sP8(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f20,plain,
! [X16] :
( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16)
| ~ sP9(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f21,plain,
! [X6] :
( ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) )
| ~ sP10(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f22,plain,
! [X6] :
( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
| ~ sP11(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f23,plain,
! [X6] :
( ! [X16] :
( ( sP9(X16)
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| sP8(X16) ) )
| ~ r1(X6,X16) )
| ~ sP12(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f24,plain,
! [X5] :
( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| ( sP7(X5)
& sP6(X5) )
| ~ sP13(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f25,plain,
! [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| ( sP11(X6)
& sP10(X6) )
| sP12(X6)
| ~ r1(X5,X6) )
| ~ sP14(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f26,plain,
! [X0] :
( ( sP5(X0)
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| sP4(X0) ) )
| ~ sP15(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f8,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| ( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
& ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) ) )
| ! [X16] :
( ( ( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16) )
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
& ( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| ( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
& ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) ) ) )
& r1(X0,X5) )
| ( ( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ( ( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ! [X52] :
( ? [X53] :
( p3(X53)
& r1(X52,X53) )
| ~ r1(X0,X52) ) )
& ! [X54] :
( ? [X55] :
( p4(X55)
& ? [X56] :
( ~ p4(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
& ? [X57] :
( ~ p4(X57)
& r1(X0,X57) )
& ( ( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
& ? [X61] :
( ~ p2(X61)
& r1(X0,X61) ) )
| ? [X62] :
( ? [X63] :
( ! [X64] :
( ~ p3(X64)
| ~ r1(X63,X64) )
& r1(X62,X63) )
& ~ p1(X62)
& r1(X0,X62) ) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| ( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
& ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) ) )
| ! [X16] :
( ( ( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16) )
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
& ( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| ( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
& ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) ) ) )
& r1(X0,X5) )
| ( ( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ( ( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ! [X52] :
( ? [X53] :
( p3(X53)
& r1(X52,X53) )
| ~ r1(X0,X52) ) )
& ! [X54] :
( ? [X55] :
( p4(X55)
& ? [X56] :
( ~ p4(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
& ? [X57] :
( ~ p4(X57)
& r1(X0,X57) )
& ( ( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
& ? [X61] :
( ~ p2(X61)
& r1(X0,X61) ) )
| ? [X62] :
( ? [X63] :
( ! [X64] :
( ~ p3(X64)
| ~ r1(X63,X64) )
& r1(X62,X63) )
& ~ p1(X62)
& r1(X0,X62) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ( ~ ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| p2(X6) )
& ( ~ ! [X9] :
( ~ ! [X10] :
( ~ p2(X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
| ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X6,X12) ) ) )
| ! [X16] :
( ( ( ~ ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| p2(X16) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| p2(X19)
| ~ r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
| ( ( ~ ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
| p2(X5) )
& ( ~ ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
| ! [X31] :
( ! [X32] :
( ~ ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| p2(X32)
| ~ r1(X31,X32) )
| ~ r1(X5,X31) ) ) )
| ~ r1(X0,X5) )
| ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X0,X35) )
| p2(X0) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) ) )
| ~ ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
| ! [X47] :
( p1(X47)
| ~ r1(X0,X47) )
| ( ( ~ ! [X48] :
( ~ ! [X49] :
( ~ p2(X49)
| ! [X50] :
( p2(X50)
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
| ! [X51] :
( p2(X51)
| ~ r1(X0,X51) ) )
& ~ ! [X52] :
( ~ ! [X53] :
( ~ p3(X53)
| ~ r1(X52,X53) )
| ~ r1(X0,X52) ) )
| ~ ! [X54] :
( ~ ! [X55] :
( ~ p4(X55)
| ! [X56] :
( p4(X56)
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
| ! [X57] :
( p4(X57)
| ~ r1(X0,X57) )
| ( ( ~ ! [X58] :
( ~ ! [X59] :
( ~ p2(X59)
| ! [X60] :
( p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
| ! [X61] :
( p2(X61)
| ~ r1(X0,X61) ) )
& ! [X62] :
( ! [X63] :
( ~ ! [X64] :
( ~ p3(X64)
| ~ r1(X63,X64) )
| ~ r1(X62,X63) )
| p1(X62)
| ~ r1(X0,X62) ) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ( ~ ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| p2(X6) )
& ( ~ ! [X9] :
( ~ ! [X10] :
( ~ p2(X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
| ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X6,X12) ) ) )
| ! [X16] :
( ( ( ~ ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| p2(X16) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| p2(X19)
| ~ r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
| ( ( ~ ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
| p2(X5) )
& ( ~ ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
| ! [X31] :
( ! [X32] :
( ~ ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| p2(X32)
| ~ r1(X31,X32) )
| ~ r1(X5,X31) ) ) )
| ~ r1(X0,X5) )
| ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X0,X35) )
| p2(X0) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) ) )
| ~ ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
| ! [X47] :
( p1(X47)
| ~ r1(X0,X47) )
| ( ( ~ ! [X48] :
( ~ ! [X49] :
( ~ p2(X49)
| ! [X50] :
( p2(X50)
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
| ! [X51] :
( p2(X51)
| ~ r1(X0,X51) ) )
& ~ ! [X52] :
( ~ ! [X53] :
( ~ p3(X53)
| ~ r1(X52,X53) )
| ~ r1(X0,X52) ) )
| ~ ! [X54] :
( ~ ! [X55] :
( ~ p4(X55)
| ! [X56] :
( p4(X56)
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
| ! [X57] :
( p4(X57)
| ~ r1(X0,X57) )
| ( ( ~ ! [X58] :
( ~ ! [X59] :
( ~ p2(X59)
| ! [X60] :
( p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
| ! [X61] :
( p2(X61)
| ~ r1(X0,X61) ) )
& ! [X62] :
( ! [X63] :
( ~ ! [X64] :
( ~ p3(X64)
| ~ r1(X63,X64) )
| ~ r1(X62,X63) )
| p1(X62)
| ~ r1(X0,X62) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p4(X0)
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) ) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p4(X0)
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f199,plain,
! [X2,X0,X1] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| r1(X0,X2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( r1(X1,X2)
& r1(X0,X1) )
=> r1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f73570,plain,
( r1(sK42(sK42(sK51)),sK39(sK42(sK42(sK51))))
| ~ spl52_9
| ~ spl52_639
| spl52_1181 ),
inference(subsumption_resolution,[],[f73566,f8197]) ).
fof(f8197,plain,
( ~ p2(sK42(sK42(sK51)))
| spl52_1181 ),
inference(avatar_component_clause,[],[f8196]) ).
fof(f8196,plain,
( spl52_1181
<=> p2(sK42(sK42(sK51))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1181])]) ).
fof(f73566,plain,
( p2(sK42(sK42(sK51)))
| r1(sK42(sK42(sK51)),sK39(sK42(sK42(sK51))))
| ~ spl52_9
| ~ spl52_639 ),
inference(resolution,[],[f4546,f72253]) ).
fof(f72253,plain,
( ! [X0] :
( ~ r1(sK41,X0)
| p2(X0)
| r1(X0,sK39(X0)) )
| ~ spl52_9 ),
inference(resolution,[],[f238,f171]) ).
fof(f171,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK39(X1)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ( p2(sK39(X1))
& ~ p2(sK40(X1))
& r1(sK39(X1),sK40(X1))
& r1(X1,sK39(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40])],[f95,f97,f96]) ).
fof(f96,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK39(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK39(X1),X3) )
& r1(X1,sK39(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK39(X1),X3) )
=> ( ~ p2(sK40(X1))
& r1(sK39(X1),sK40(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f11]) ).
fof(f238,plain,
( sP0(sK41)
| ~ spl52_9 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl52_9
<=> sP0(sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_9])]) ).
fof(f4546,plain,
( r1(sK41,sK42(sK42(sK51)))
| ~ spl52_639 ),
inference(avatar_component_clause,[],[f4544]) ).
fof(f4544,plain,
( spl52_639
<=> r1(sK41,sK42(sK42(sK51))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_639])]) ).
fof(f74259,plain,
( ! [X1] :
( ~ r1(sK42(X1),sK39(sK42(sK42(sK51))))
| ~ r1(sK41,X1)
| p2(X1) )
| ~ spl52_10310 ),
inference(avatar_component_clause,[],[f74258]) ).
fof(f74258,plain,
( spl52_10310
<=> ! [X1] :
( ~ r1(sK42(X1),sK39(sK42(sK42(sK51))))
| ~ r1(sK41,X1)
| p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_10310])]) ).
fof(f119496,plain,
( ~ spl52_9
| ~ spl52_639
| spl52_1181
| ~ spl52_10305 ),
inference(avatar_contradiction_clause,[],[f119495]) ).
fof(f119495,plain,
( $false
| ~ spl52_9
| ~ spl52_639
| spl52_1181
| ~ spl52_10305 ),
inference(subsumption_resolution,[],[f119494,f4546]) ).
fof(f119494,plain,
( ~ r1(sK41,sK42(sK42(sK51)))
| ~ spl52_9
| ~ spl52_639
| spl52_1181
| ~ spl52_10305 ),
inference(resolution,[],[f80411,f238]) ).
fof(f80411,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ r1(X0,sK42(sK42(sK51))) )
| ~ spl52_9
| ~ spl52_639
| spl52_1181
| ~ spl52_10305 ),
inference(subsumption_resolution,[],[f80401,f8197]) ).
fof(f80401,plain,
( ! [X0] :
( p2(sK42(sK42(sK51)))
| ~ r1(X0,sK42(sK42(sK51)))
| ~ sP0(X0) )
| ~ spl52_9
| ~ spl52_639
| spl52_1181
| ~ spl52_10305 ),
inference(resolution,[],[f80233,f173]) ).
fof(f173,plain,
! [X0,X1] :
( ~ p2(sK40(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f80233,plain,
( p2(sK40(sK42(sK42(sK51))))
| ~ spl52_9
| ~ spl52_639
| spl52_1181
| ~ spl52_10305 ),
inference(subsumption_resolution,[],[f80232,f8197]) ).
fof(f80232,plain,
( p2(sK40(sK42(sK42(sK51))))
| p2(sK42(sK42(sK51)))
| ~ spl52_9
| ~ spl52_639
| ~ spl52_10305 ),
inference(subsumption_resolution,[],[f80221,f4546]) ).
fof(f80221,plain,
( p2(sK40(sK42(sK42(sK51))))
| ~ r1(sK41,sK42(sK42(sK51)))
| p2(sK42(sK42(sK51)))
| ~ spl52_9
| ~ spl52_10305 ),
inference(resolution,[],[f74237,f72252]) ).
fof(f72252,plain,
( ! [X0] :
( r1(sK39(X0),sK40(X0))
| ~ r1(sK41,X0)
| p2(X0) )
| ~ spl52_9 ),
inference(resolution,[],[f238,f172]) ).
fof(f172,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK39(X1),sK40(X1)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f74237,plain,
( ! [X0] :
( ~ r1(sK39(sK42(sK42(sK51))),X0)
| p2(X0) )
| ~ spl52_10305 ),
inference(avatar_component_clause,[],[f74236]) ).
fof(f74236,plain,
( spl52_10305
<=> ! [X0] :
( p2(X0)
| ~ r1(sK39(sK42(sK42(sK51))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_10305])]) ).
fof(f74260,plain,
( spl52_10310
| spl52_10305
| ~ spl52_9
| ~ spl52_639
| spl52_1181 ),
inference(avatar_split_clause,[],[f74227,f8196,f4544,f236,f74236,f74258]) ).
fof(f74227,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK39(sK42(sK42(sK51))),X0)
| ~ r1(sK42(X1),sK39(sK42(sK42(sK51))))
| p2(X1)
| ~ r1(sK41,X1) )
| ~ spl52_9
| ~ spl52_639
| spl52_1181 ),
inference(resolution,[],[f73571,f197]) ).
fof(f197,plain,
! [X3,X1,X4] :
( ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK42(X1),X3)
| p2(X1)
| ~ r1(sK41,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f73571,plain,
( p2(sK39(sK42(sK42(sK51))))
| ~ spl52_9
| ~ spl52_639
| spl52_1181 ),
inference(subsumption_resolution,[],[f73567,f8197]) ).
fof(f73567,plain,
( p2(sK42(sK42(sK51)))
| p2(sK39(sK42(sK42(sK51))))
| ~ spl52_9
| ~ spl52_639 ),
inference(resolution,[],[f4546,f72254]) ).
fof(f72254,plain,
( ! [X0] :
( ~ r1(sK41,X0)
| p2(X0)
| p2(sK39(X0)) )
| ~ spl52_9 ),
inference(resolution,[],[f238,f174]) ).
fof(f174,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK39(X1)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f71864,plain,
( spl52_156
| ~ spl52_218
| ~ spl52_3836
| ~ spl52_3968 ),
inference(avatar_contradiction_clause,[],[f71863]) ).
fof(f71863,plain,
( $false
| spl52_156
| ~ spl52_218
| ~ spl52_3836
| ~ spl52_3968 ),
inference(subsumption_resolution,[],[f71862,f1128]) ).
fof(f1128,plain,
( ~ p2(sK34(sK41))
| spl52_156 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f1127,plain,
( spl52_156
<=> p2(sK34(sK41)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_156])]) ).
fof(f71862,plain,
( p2(sK34(sK41))
| ~ spl52_218
| ~ spl52_3836
| ~ spl52_3968 ),
inference(subsumption_resolution,[],[f71861,f1521]) ).
fof(f1521,plain,
( r1(sK41,sK34(sK41))
| ~ spl52_218 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f1520,plain,
( spl52_218
<=> r1(sK41,sK34(sK41)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_218])]) ).
fof(f71861,plain,
( ~ r1(sK41,sK34(sK41))
| p2(sK34(sK41))
| ~ spl52_3836
| ~ spl52_3968 ),
inference(resolution,[],[f27900,f27131]) ).
fof(f27131,plain,
( r1(sK42(sK34(sK41)),sK35(sK42(sK34(sK41))))
| ~ spl52_3836 ),
inference(avatar_component_clause,[],[f27129]) ).
fof(f27129,plain,
( spl52_3836
<=> r1(sK42(sK34(sK41)),sK35(sK42(sK34(sK41)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_3836])]) ).
fof(f27900,plain,
( ! [X1] :
( ~ r1(sK42(X1),sK35(sK42(sK34(sK41))))
| ~ r1(sK41,X1)
| p2(X1) )
| ~ spl52_3968 ),
inference(avatar_component_clause,[],[f27899]) ).
fof(f27899,plain,
( spl52_3968
<=> ! [X1] :
( ~ r1(sK42(X1),sK35(sK42(sK34(sK41))))
| ~ r1(sK41,X1)
| p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_3968])]) ).
fof(f71773,plain,
( ~ spl52_6
| ~ spl52_219
| spl52_3835
| ~ spl52_3963 ),
inference(avatar_contradiction_clause,[],[f71772]) ).
fof(f71772,plain,
( $false
| ~ spl52_6
| ~ spl52_219
| spl52_3835
| ~ spl52_3963 ),
inference(subsumption_resolution,[],[f71771,f1526]) ).
fof(f1526,plain,
( r1(sK41,sK42(sK34(sK41)))
| ~ spl52_219 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f1524,plain,
( spl52_219
<=> r1(sK41,sK42(sK34(sK41))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_219])]) ).
fof(f71771,plain,
( ~ r1(sK41,sK42(sK34(sK41)))
| ~ spl52_6
| ~ spl52_219
| spl52_3835
| ~ spl52_3963 ),
inference(resolution,[],[f37396,f26626]) ).
fof(f26626,plain,
( sP2(sK41)
| ~ spl52_6 ),
inference(resolution,[],[f225,f162]) ).
fof(f162,plain,
! [X0] :
( ~ sP3(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( sP2(X0)
& ~ p2(sK34(X0))
& r1(X0,sK34(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f81,f82]) ).
fof(f82,plain,
! [X0] :
( ? [X1] :
( ~ p2(X1)
& r1(X0,X1) )
=> ( ~ p2(sK34(X0))
& r1(X0,sK34(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0] :
( ( sP2(X0)
& ? [X1] :
( ~ p2(X1)
& r1(X0,X1) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ( sP2(X0)
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f14]) ).
fof(f225,plain,
( sP3(sK41)
| ~ spl52_6 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl52_6
<=> sP3(sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_6])]) ).
fof(f37396,plain,
( ! [X0] :
( ~ sP2(X0)
| ~ r1(X0,sK42(sK34(sK41))) )
| ~ spl52_6
| ~ spl52_219
| spl52_3835
| ~ spl52_3963 ),
inference(subsumption_resolution,[],[f37386,f27125]) ).
fof(f27125,plain,
( ~ p2(sK42(sK34(sK41)))
| spl52_3835 ),
inference(avatar_component_clause,[],[f27124]) ).
fof(f27124,plain,
( spl52_3835
<=> p2(sK42(sK34(sK41))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_3835])]) ).
fof(f37386,plain,
( ! [X0] :
( p2(sK42(sK34(sK41)))
| ~ r1(X0,sK42(sK34(sK41)))
| ~ sP2(X0) )
| ~ spl52_6
| ~ spl52_219
| spl52_3835
| ~ spl52_3963 ),
inference(resolution,[],[f35665,f165]) ).
fof(f165,plain,
! [X0,X1] :
( ~ p2(sK36(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ( p2(sK35(X1))
& ~ p2(sK36(X1))
& r1(sK35(X1),sK36(X1))
& r1(X1,sK35(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36])],[f85,f87,f86]) ).
fof(f86,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK35(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK35(X1),X3) )
& r1(X1,sK35(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK35(X1),X3) )
=> ( ~ p2(sK36(X1))
& r1(sK35(X1),sK36(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP2(X0) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f13]) ).
fof(f35665,plain,
( p2(sK36(sK42(sK34(sK41))))
| ~ spl52_6
| ~ spl52_219
| spl52_3835
| ~ spl52_3963 ),
inference(subsumption_resolution,[],[f35664,f27125]) ).
fof(f35664,plain,
( p2(sK36(sK42(sK34(sK41))))
| p2(sK42(sK34(sK41)))
| ~ spl52_6
| ~ spl52_219
| ~ spl52_3963 ),
inference(subsumption_resolution,[],[f35653,f1526]) ).
fof(f35653,plain,
( p2(sK36(sK42(sK34(sK41))))
| ~ r1(sK41,sK42(sK34(sK41)))
| p2(sK42(sK34(sK41)))
| ~ spl52_6
| ~ spl52_3963 ),
inference(resolution,[],[f27878,f26627]) ).
fof(f26627,plain,
( ! [X0] :
( r1(sK35(X0),sK36(X0))
| ~ r1(sK41,X0)
| p2(X0) )
| ~ spl52_6 ),
inference(resolution,[],[f26626,f164]) ).
fof(f164,plain,
! [X0,X1] :
( ~ sP2(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK35(X1),sK36(X1)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f27878,plain,
( ! [X0] :
( ~ r1(sK35(sK42(sK34(sK41))),X0)
| p2(X0) )
| ~ spl52_3963 ),
inference(avatar_component_clause,[],[f27877]) ).
fof(f27877,plain,
( spl52_3963
<=> ! [X0] :
( p2(X0)
| ~ r1(sK35(sK42(sK34(sK41))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_3963])]) ).
fof(f44136,plain,
( spl52_10
| spl52_6237
| ~ spl52_11 ),
inference(avatar_split_clause,[],[f44135,f246,f44044,f241]) ).
fof(f44135,plain,
( r1(sK41,sK42(sK51))
| p2(sK51)
| ~ spl52_11 ),
inference(subsumption_resolution,[],[f2211,f248]) ).
fof(f2211,plain,
( r1(sK41,sK42(sK51))
| p2(sK51)
| ~ r1(sK41,sK51)
| ~ spl52_11 ),
inference(resolution,[],[f2049,f195]) ).
fof(f2049,plain,
( ! [X0] :
( ~ r1(sK51,X0)
| r1(sK41,X0) )
| ~ spl52_11 ),
inference(resolution,[],[f248,f199]) ).
fof(f28755,plain,
( spl52_156
| ~ spl52_218
| ~ spl52_3835 ),
inference(avatar_contradiction_clause,[],[f28754]) ).
fof(f28754,plain,
( $false
| spl52_156
| ~ spl52_218
| ~ spl52_3835 ),
inference(subsumption_resolution,[],[f28753,f1521]) ).
fof(f28753,plain,
( ~ r1(sK41,sK34(sK41))
| spl52_156
| ~ spl52_3835 ),
inference(subsumption_resolution,[],[f28743,f1128]) ).
fof(f28743,plain,
( p2(sK34(sK41))
| ~ r1(sK41,sK34(sK41))
| ~ spl52_3835 ),
inference(resolution,[],[f27126,f196]) ).
fof(f196,plain,
! [X1] :
( ~ p2(sK42(X1))
| p2(X1)
| ~ r1(sK41,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f27126,plain,
( p2(sK42(sK34(sK41)))
| ~ spl52_3835 ),
inference(avatar_component_clause,[],[f27124]) ).
fof(f27901,plain,
( spl52_3968
| spl52_3963
| ~ spl52_3837 ),
inference(avatar_split_clause,[],[f27868,f27134,f27877,f27899]) ).
fof(f27134,plain,
( spl52_3837
<=> p2(sK35(sK42(sK34(sK41)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_3837])]) ).
fof(f27868,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK35(sK42(sK34(sK41))),X0)
| ~ r1(sK42(X1),sK35(sK42(sK34(sK41))))
| p2(X1)
| ~ r1(sK41,X1) )
| ~ spl52_3837 ),
inference(resolution,[],[f27136,f197]) ).
fof(f27136,plain,
( p2(sK35(sK42(sK34(sK41))))
| ~ spl52_3837 ),
inference(avatar_component_clause,[],[f27134]) ).
fof(f27137,plain,
( spl52_3837
| spl52_3835
| ~ spl52_6
| ~ spl52_219 ),
inference(avatar_split_clause,[],[f27081,f1524,f223,f27124,f27134]) ).
fof(f27081,plain,
( p2(sK42(sK34(sK41)))
| p2(sK35(sK42(sK34(sK41))))
| ~ spl52_6
| ~ spl52_219 ),
inference(resolution,[],[f1526,f26629]) ).
fof(f26629,plain,
( ! [X0] :
( ~ r1(sK41,X0)
| p2(X0)
| p2(sK35(X0)) )
| ~ spl52_6 ),
inference(resolution,[],[f26626,f166]) ).
fof(f166,plain,
! [X0,X1] :
( ~ sP2(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK35(X1)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f27132,plain,
( spl52_3836
| spl52_3835
| ~ spl52_6
| ~ spl52_219 ),
inference(avatar_split_clause,[],[f27080,f1524,f223,f27124,f27129]) ).
fof(f27080,plain,
( p2(sK42(sK34(sK41)))
| r1(sK42(sK34(sK41)),sK35(sK42(sK34(sK41))))
| ~ spl52_6
| ~ spl52_219 ),
inference(resolution,[],[f1526,f26628]) ).
fof(f26628,plain,
( ! [X0] :
( ~ r1(sK41,X0)
| p2(X0)
| r1(X0,sK35(X0)) )
| ~ spl52_6 ),
inference(resolution,[],[f26626,f163]) ).
fof(f163,plain,
! [X0,X1] :
( ~ sP2(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK35(X1)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f26642,plain,
( spl52_218
| ~ spl52_6 ),
inference(avatar_split_clause,[],[f26632,f223,f1520]) ).
fof(f26632,plain,
( r1(sK41,sK34(sK41))
| ~ spl52_6 ),
inference(resolution,[],[f26625,f198]) ).
fof(f198,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f26625,plain,
( ! [X0] :
( ~ r1(sK34(sK41),X0)
| r1(sK41,X0) )
| ~ spl52_6 ),
inference(resolution,[],[f225,f530]) ).
fof(f530,plain,
! [X0,X1] :
( ~ sP3(X0)
| r1(X0,X1)
| ~ r1(sK34(X0),X1) ),
inference(resolution,[],[f199,f160]) ).
fof(f160,plain,
! [X0] :
( r1(X0,sK34(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f26606,plain,
( ~ spl52_5
| ~ spl52_7
| ~ spl52_8
| ~ spl52_286 ),
inference(avatar_contradiction_clause,[],[f26605]) ).
fof(f26605,plain,
( $false
| ~ spl52_5
| ~ spl52_7
| ~ spl52_8
| ~ spl52_286 ),
inference(subsumption_resolution,[],[f26604,f1970]) ).
fof(f1970,plain,
( r1(sK41,sK38(sK41))
| ~ spl52_286 ),
inference(avatar_component_clause,[],[f1969]) ).
fof(f1969,plain,
( spl52_286
<=> r1(sK41,sK38(sK41)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_286])]) ).
fof(f26604,plain,
( ~ r1(sK41,sK38(sK41))
| ~ spl52_5
| ~ spl52_7
| ~ spl52_8
| ~ spl52_286 ),
inference(subsumption_resolution,[],[f26603,f234]) ).
fof(f234,plain,
( sP1(sK41)
| ~ spl52_8 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl52_8
<=> sP1(sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_8])]) ).
fof(f26603,plain,
( ~ sP1(sK41)
| ~ r1(sK41,sK38(sK41))
| ~ spl52_5
| ~ spl52_7
| ~ spl52_286 ),
inference(resolution,[],[f2807,f229]) ).
fof(f229,plain,
( ! [X10] :
( r1(X10,sK47(X10))
| ~ r1(sK41,X10) )
| ~ spl52_7 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl52_7
<=> ! [X10] :
( r1(X10,sK47(X10))
| ~ r1(sK41,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_7])]) ).
fof(f2807,plain,
( ! [X0] :
( ~ r1(sK38(X0),sK47(sK38(sK41)))
| ~ sP1(X0) )
| ~ spl52_5
| ~ spl52_286 ),
inference(resolution,[],[f2679,f170]) ).
fof(f170,plain,
! [X3,X0] :
( ~ p3(X3)
| ~ r1(sK38(X0),X3)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ( ! [X3] :
( ~ p3(X3)
| ~ r1(sK38(X0),X3) )
& r1(sK37(X0),sK38(X0))
& ~ p1(sK37(X0))
& r1(X0,sK37(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38])],[f90,f92,f91]) ).
fof(f91,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p3(X3)
| ~ r1(X2,X3) )
& r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
=> ( ? [X2] :
( ! [X3] :
( ~ p3(X3)
| ~ r1(X2,X3) )
& r1(sK37(X0),X2) )
& ~ p1(sK37(X0))
& r1(X0,sK37(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ~ p3(X3)
| ~ r1(X2,X3) )
& r1(sK37(X0),X2) )
=> ( ! [X3] :
( ~ p3(X3)
| ~ r1(sK38(X0),X3) )
& r1(sK37(X0),sK38(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p3(X3)
| ~ r1(X2,X3) )
& r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ? [X62] :
( ? [X63] :
( ! [X64] :
( ~ p3(X64)
| ~ r1(X63,X64) )
& r1(X62,X63) )
& ~ p1(X62)
& r1(X0,X62) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f12]) ).
fof(f2679,plain,
( p3(sK47(sK38(sK41)))
| ~ spl52_5
| ~ spl52_286 ),
inference(resolution,[],[f1970,f221]) ).
fof(f221,plain,
( ! [X10] :
( ~ r1(sK41,X10)
| p3(sK47(X10)) )
| ~ spl52_5 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f220,plain,
( spl52_5
<=> ! [X10] :
( p3(sK47(X10))
| ~ r1(sK41,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_5])]) ).
fof(f8346,plain,
( spl52_10
| ~ spl52_11
| spl52_638
| ~ spl52_1181 ),
inference(avatar_contradiction_clause,[],[f8345]) ).
fof(f8345,plain,
( $false
| spl52_10
| ~ spl52_11
| spl52_638
| ~ spl52_1181 ),
inference(subsumption_resolution,[],[f8344,f2234]) ).
fof(f2234,plain,
( r1(sK41,sK42(sK51))
| spl52_10
| ~ spl52_11 ),
inference(subsumption_resolution,[],[f2233,f248]) ).
fof(f2233,plain,
( r1(sK41,sK42(sK51))
| ~ r1(sK41,sK51)
| spl52_10
| ~ spl52_11 ),
inference(subsumption_resolution,[],[f2211,f243]) ).
fof(f8344,plain,
( ~ r1(sK41,sK42(sK51))
| spl52_638
| ~ spl52_1181 ),
inference(subsumption_resolution,[],[f8333,f4541]) ).
fof(f8333,plain,
( p2(sK42(sK51))
| ~ r1(sK41,sK42(sK51))
| ~ spl52_1181 ),
inference(resolution,[],[f8198,f196]) ).
fof(f8198,plain,
( p2(sK42(sK42(sK51)))
| ~ spl52_1181 ),
inference(avatar_component_clause,[],[f8196]) ).
fof(f7579,plain,
( spl52_156
| ~ spl52_218
| spl52_219 ),
inference(avatar_contradiction_clause,[],[f7578]) ).
fof(f7578,plain,
( $false
| spl52_156
| ~ spl52_218
| spl52_219 ),
inference(subsumption_resolution,[],[f7577,f1521]) ).
fof(f7577,plain,
( ~ r1(sK41,sK34(sK41))
| spl52_156
| ~ spl52_218
| spl52_219 ),
inference(subsumption_resolution,[],[f7576,f1128]) ).
fof(f7576,plain,
( p2(sK34(sK41))
| ~ r1(sK41,sK34(sK41))
| ~ spl52_218
| spl52_219 ),
inference(subsumption_resolution,[],[f7570,f1525]) ).
fof(f1525,plain,
( ~ r1(sK41,sK42(sK34(sK41)))
| spl52_219 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f7570,plain,
( r1(sK41,sK42(sK34(sK41)))
| p2(sK34(sK41))
| ~ r1(sK41,sK34(sK41))
| ~ spl52_218 ),
inference(resolution,[],[f1876,f195]) ).
fof(f1876,plain,
( ! [X0] :
( ~ r1(sK34(sK41),X0)
| r1(sK41,X0) )
| ~ spl52_218 ),
inference(resolution,[],[f1521,f199]) ).
fof(f6734,plain,
( spl52_10
| ~ spl52_11
| ~ spl52_638 ),
inference(avatar_contradiction_clause,[],[f6733]) ).
fof(f6733,plain,
( $false
| spl52_10
| ~ spl52_11
| ~ spl52_638 ),
inference(subsumption_resolution,[],[f6732,f248]) ).
fof(f6732,plain,
( ~ r1(sK41,sK51)
| spl52_10
| ~ spl52_638 ),
inference(subsumption_resolution,[],[f6721,f243]) ).
fof(f6721,plain,
( p2(sK51)
| ~ r1(sK41,sK51)
| ~ spl52_638 ),
inference(resolution,[],[f4542,f196]) ).
fof(f4542,plain,
( p2(sK42(sK51))
| ~ spl52_638 ),
inference(avatar_component_clause,[],[f4540]) ).
fof(f5684,plain,
( spl52_639
| spl52_10
| ~ spl52_11 ),
inference(avatar_split_clause,[],[f3965,f246,f241,f4544]) ).
fof(f3965,plain,
( r1(sK41,sK42(sK42(sK51)))
| spl52_10
| ~ spl52_11 ),
inference(resolution,[],[f2999,f2049]) ).
fof(f2999,plain,
( r1(sK51,sK42(sK42(sK51)))
| spl52_10
| ~ spl52_11 ),
inference(subsumption_resolution,[],[f2998,f248]) ).
fof(f2998,plain,
( ~ r1(sK41,sK51)
| r1(sK51,sK42(sK42(sK51)))
| spl52_10
| ~ spl52_11 ),
inference(subsumption_resolution,[],[f2995,f243]) ).
fof(f2995,plain,
( p2(sK51)
| ~ r1(sK41,sK51)
| r1(sK51,sK42(sK42(sK51)))
| spl52_10
| ~ spl52_11 ),
inference(resolution,[],[f1281,f2234]) ).
fof(f1281,plain,
! [X0] :
( ~ r1(sK41,sK42(X0))
| p2(X0)
| ~ r1(sK41,X0)
| r1(X0,sK42(sK42(X0))) ),
inference(subsumption_resolution,[],[f1278,f196]) ).
fof(f1278,plain,
! [X0] :
( r1(X0,sK42(sK42(X0)))
| p2(X0)
| ~ r1(sK41,X0)
| p2(sK42(X0))
| ~ r1(sK41,sK42(X0)) ),
inference(resolution,[],[f532,f195]) ).
fof(f2543,plain,
( spl52_286
| ~ spl52_8 ),
inference(avatar_split_clause,[],[f2542,f232,f1969]) ).
fof(f2542,plain,
( r1(sK41,sK38(sK41))
| ~ spl52_8 ),
inference(subsumption_resolution,[],[f2534,f234]) ).
fof(f2534,plain,
( r1(sK41,sK38(sK41))
| ~ sP1(sK41)
| ~ spl52_8 ),
inference(resolution,[],[f2281,f169]) ).
fof(f169,plain,
! [X0] :
( r1(sK37(X0),sK38(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f2281,plain,
( ! [X0] :
( ~ r1(sK37(sK41),X0)
| r1(sK41,X0) )
| ~ spl52_8 ),
inference(resolution,[],[f234,f531]) ).
fof(f531,plain,
! [X0,X1] :
( ~ sP1(X0)
| r1(X0,X1)
| ~ r1(sK37(X0),X1) ),
inference(resolution,[],[f199,f167]) ).
fof(f167,plain,
! [X0] :
( r1(X0,sK37(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f1708,plain,
( ~ spl52_6
| ~ spl52_156 ),
inference(avatar_contradiction_clause,[],[f1707]) ).
fof(f1707,plain,
( $false
| ~ spl52_6
| ~ spl52_156 ),
inference(subsumption_resolution,[],[f1698,f225]) ).
fof(f1698,plain,
( ~ sP3(sK41)
| ~ spl52_156 ),
inference(resolution,[],[f1129,f161]) ).
fof(f161,plain,
! [X0] :
( ~ p2(sK34(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f1129,plain,
( p2(sK34(sK41))
| ~ spl52_156 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f249,plain,
( spl52_8
| spl52_11 ),
inference(avatar_split_clause,[],[f175,f246,f232]) ).
fof(f175,plain,
( r1(sK41,sK51)
| sP1(sK41) ),
inference(cnf_transformation,[],[f111]) ).
fof(f244,plain,
( spl52_8
| ~ spl52_10 ),
inference(avatar_split_clause,[],[f176,f241,f232]) ).
fof(f176,plain,
( ~ p2(sK51)
| sP1(sK41) ),
inference(cnf_transformation,[],[f111]) ).
fof(f239,plain,
( spl52_8
| spl52_9 ),
inference(avatar_split_clause,[],[f177,f236,f232]) ).
fof(f177,plain,
( sP0(sK41)
| sP1(sK41) ),
inference(cnf_transformation,[],[f111]) ).
fof(f230,plain,
( spl52_7
| spl52_6 ),
inference(avatar_split_clause,[],[f184,f223,f228]) ).
fof(f184,plain,
! [X10] :
( sP3(sK41)
| r1(X10,sK47(X10))
| ~ r1(sK41,X10) ),
inference(cnf_transformation,[],[f111]) ).
fof(f226,plain,
( spl52_5
| spl52_6 ),
inference(avatar_split_clause,[],[f185,f223,f220]) ).
fof(f185,plain,
! [X10] :
( sP3(sK41)
| p3(sK47(X10))
| ~ r1(sK41,X10) ),
inference(cnf_transformation,[],[f111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL676+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 22:50:49 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (3038)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (3041)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.39 % (3042)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.39 % (3043)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.39 % (3040)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 % (3045)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.39 % (3044)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.39 % (3039)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.40 TRYING [2]
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [3]
% 0.21/0.40 TRYING [3]
% 0.21/0.40 TRYING [2]
% 0.21/0.40 TRYING [2]
% 0.21/0.41 TRYING [3]
% 0.21/0.41 TRYING [3]
% 0.21/0.41 TRYING [4]
% 0.21/0.41 TRYING [4]
% 0.21/0.42 TRYING [4]
% 0.21/0.42 TRYING [4]
% 0.21/0.43 TRYING [5]
% 0.21/0.43 TRYING [5]
% 0.21/0.44 TRYING [5]
% 0.21/0.44 TRYING [5]
% 0.21/0.45 TRYING [6]
% 0.21/0.46 TRYING [6]
% 0.21/0.47 TRYING [6]
% 0.21/0.48 TRYING [6]
% 0.21/0.51 TRYING [7]
% 1.37/0.55 TRYING [7]
% 1.37/0.57 TRYING [7]
% 1.37/0.58 TRYING [7]
% 2.00/0.65 TRYING [8]
% 2.90/0.76 TRYING [8]
% 3.20/0.81 TRYING [8]
% 3.47/0.89 TRYING [8]
% 4.48/1.02 TRYING [9]
% 7.51/1.46 TRYING [9]
% 10.51/1.91 TRYING [9]
% 13.90/2.38 TRYING [9]
% 19.01/3.13 TRYING [10]
% 34.20/5.32 % (3044)First to succeed.
% 34.77/5.37 % (3044)Refutation found. Thanks to Tanya!
% 34.77/5.37 % SZS status Theorem for theBenchmark
% 34.77/5.37 % SZS output start Proof for theBenchmark
% See solution above
% 34.77/5.37 % (3044)------------------------------
% 34.77/5.37 % (3044)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 34.77/5.37 % (3044)Termination reason: Refutation
% 34.77/5.37
% 34.77/5.37 % (3044)Memory used [KB]: 37217
% 34.77/5.37 % (3044)Time elapsed: 4.972 s
% 34.77/5.37 % (3044)Instructions burned: 11229 (million)
% 34.77/5.37 % (3044)------------------------------
% 34.77/5.37 % (3044)------------------------------
% 34.77/5.37 % (3038)Success in time 5.01 s
%------------------------------------------------------------------------------