TSTP Solution File: LCL652+1.001 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL652+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 : n012.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 13:47:18 EDT 2024
% Result : Theorem 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 45
% Syntax : Number of formulae : 185 ( 8 unt; 0 def)
% Number of atoms : 1394 ( 0 equ)
% Maximal formula atoms : 74 ( 7 avg)
% Number of connectives : 2310 (1101 ~; 867 |; 307 &)
% ( 11 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 12 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 5 con; 0-1 aty)
% Number of variables : 785 ( 609 !; 176 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1595,plain,
$false,
inference(avatar_sat_refutation,[],[f147,f167,f588,f599,f610,f619,f940,f976,f1041,f1582,f1585,f1594]) ).
fof(f1594,plain,
( ~ spl33_4
| ~ spl33_68 ),
inference(avatar_contradiction_clause,[],[f1593]) ).
fof(f1593,plain,
( $false
| ~ spl33_4
| ~ spl33_68 ),
inference(subsumption_resolution,[],[f1592,f589]) ).
fof(f589,plain,
( r1(sK25,sK16(sK25))
| ~ spl33_4 ),
inference(resolution,[],[f146,f89]) ).
fof(f89,plain,
! [X0] :
( ~ sP2(X0)
| r1(X0,sK16(X0)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ( p2(sK16(X0))
& r1(sK16(X0),sK17(X0))
& r1(X0,sK16(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f44,f46,f45]) ).
fof(f45,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] : r1(X1,X2)
& r1(X0,X1) )
=> ( p2(sK16(X0))
& ? [X2] : r1(sK16(X0),X2)
& r1(X0,sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0] :
( ? [X2] : r1(sK16(X0),X2)
=> r1(sK16(X0),sK17(X0)) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] : r1(X1,X2)
& r1(X0,X1) )
| ~ sP2(X0) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X16] :
( ? [X19] :
( p2(X19)
& ? [X20] : r1(X19,X20)
& r1(X16,X19) )
| ~ sP2(X16) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X16] :
( ? [X19] :
( p2(X19)
& ? [X20] : r1(X19,X20)
& r1(X16,X19) )
| ~ sP2(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f146,plain,
( sP2(sK25)
| ~ spl33_4 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl33_4
<=> sP2(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_4])]) ).
fof(f1592,plain,
( ~ r1(sK25,sK16(sK25))
| ~ spl33_4
| ~ spl33_68 ),
inference(resolution,[],[f1590,f113]) ).
fof(f113,plain,
! [X6] :
( ~ p2(sK26(X6))
| ~ r1(sK25,X6) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ! [X1] :
( ( p1(sK24(X1))
& r1(X1,sK24(X1)) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(sK23,X1) )
& ! [X6] :
( ( ~ p2(sK26(X6))
& r1(X6,sK26(X6)) )
| ~ r1(sK25,X6) )
& r1(sK23,sK25)
& ~ p1(sK28)
& r1(sK27,sK28)
& ! [X11] :
( p1(X11)
| ~ r1(sK29,X11) )
& r1(sK27,sK29)
& r1(sK23,sK27)
& ! [X12] :
( ( ~ p1(sK30(X12))
& r1(X12,sK30(X12)) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(sK23,X12) )
& ! [X16] :
( sP8(X16)
| ~ r1(sK23,X16) )
& ! [X17] :
( ( ! [X19] :
( ~ p1(X19)
| ~ r1(sK31(X17),X19) )
& r1(X17,sK31(X17)) )
| ! [X20] :
( ! [X21] :
( ( p1(sK32(X21))
& r1(X21,sK32(X21)) )
| ~ r1(X20,X21) )
| ~ r1(X17,X20) )
| ~ r1(sK23,X17) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32])],[f59,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60]) ).
fof(f60,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X0,X12) )
& ! [X16] :
( sP8(X16)
| ~ r1(X0,X16) )
& ! [X17] :
( ? [X18] :
( ! [X19] :
( ~ p1(X19)
| ~ r1(X18,X19) )
& r1(X17,X18) )
| ! [X20] :
( ! [X21] :
( ? [X22] :
( p1(X22)
& r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X17,X20) )
| ~ r1(X0,X17) ) )
=> ( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(sK23,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(sK23,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(sK23,X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(sK23,X12) )
& ! [X16] :
( sP8(X16)
| ~ r1(sK23,X16) )
& ! [X17] :
( ? [X18] :
( ! [X19] :
( ~ p1(X19)
| ~ r1(X18,X19) )
& r1(X17,X18) )
| ! [X20] :
( ! [X21] :
( ? [X22] :
( p1(X22)
& r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X17,X20) )
| ~ r1(sK23,X17) ) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
=> ( p1(sK24(X1))
& r1(X1,sK24(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
( ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(sK23,X5) )
=> ( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(sK25,X6) )
& r1(sK23,sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
=> ( ~ p2(sK26(X6))
& r1(X6,sK26(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
( ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(sK23,X8) )
=> ( ? [X9] :
( ~ p1(X9)
& r1(sK27,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(sK27,X10) )
& r1(sK23,sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
( ? [X9] :
( ~ p1(X9)
& r1(sK27,X9) )
=> ( ~ p1(sK28)
& r1(sK27,sK28) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
( ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(sK27,X10) )
=> ( ! [X11] :
( p1(X11)
| ~ r1(sK29,X11) )
& r1(sK27,sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
=> ( ~ p1(sK30(X12))
& r1(X12,sK30(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X17] :
( ? [X18] :
( ! [X19] :
( ~ p1(X19)
| ~ r1(X18,X19) )
& r1(X17,X18) )
=> ( ! [X19] :
( ~ p1(X19)
| ~ r1(sK31(X17),X19) )
& r1(X17,sK31(X17)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X21] :
( ? [X22] :
( p1(X22)
& r1(X21,X22) )
=> ( p1(sK32(X21))
& r1(X21,sK32(X21)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X0,X12) )
& ! [X16] :
( sP8(X16)
| ~ r1(X0,X16) )
& ! [X17] :
( ? [X18] :
( ! [X19] :
( ~ p1(X19)
| ~ r1(X18,X19) )
& r1(X17,X18) )
| ! [X20] :
( ! [X21] :
( ? [X22] :
( p1(X22)
& r1(X21,X22) )
| ~ r1(X20,X21) )
| ~ r1(X17,X20) )
| ~ r1(X0,X17) ) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X0,X12) )
& ! [X16] :
( sP8(X16)
| ~ r1(X0,X16) )
& ! [X43] :
( ? [X44] :
( ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
& r1(X43,X44) )
| ! [X46] :
( ! [X47] :
( ? [X48] :
( p1(X48)
& r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) )
| ~ r1(X0,X43) ) ),
inference(definition_folding,[],[f8,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f9,plain,
! [X16] :
( ! [X30] :
( ! [X31] :
( ? [X32] :
( p2(X32)
& ? [X33] : r1(X32,X33)
& r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) )
| ~ sP0(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,plain,
! [X21] :
( ? [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] : r1(X24,X25)
& r1(X23,X24) )
| ~ r1(X22,X23) )
& r1(X21,X22) )
| ~ sP1(X21) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
! [X16] :
( ! [X34] :
( ! [X35] :
( ? [X36] :
( ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
& r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ p2(X34)
| ! [X38] :
( ( p2(X38)
& ? [X39] : r1(X38,X39) )
| ~ r1(X34,X38) )
| ~ r1(X16,X34) )
| ~ sP3(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f13,plain,
! [X16] :
( ! [X40] :
( ? [X41] :
( p2(X41)
& ? [X42] : r1(X41,X42)
& r1(X40,X41) )
| ~ r1(X16,X40) )
| ~ sP4(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f14,plain,
! [X16] :
( ? [X28] :
( ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
& r1(X16,X28) )
| sP0(X16)
| ~ sP5(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f15,plain,
! [X16] :
( ! [X21] :
( sP1(X21)
| ? [X26] :
( ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
& r1(X21,X26) )
| ~ r1(X16,X21) )
| ~ sP6(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f16,plain,
! [X16] :
( ? [X17] :
( ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
& r1(X16,X17) )
| sP2(X16)
| ~ sP7(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f17,plain,
! [X16] :
( ( sP7(X16)
& sP6(X16)
& sP5(X16)
& sP3(X16)
& sP4(X16) )
| ~ sP8(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f8,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X0,X12) )
& ! [X16] :
( ( ( ? [X17] :
( ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
& r1(X16,X17) )
| ? [X19] :
( p2(X19)
& ? [X20] : r1(X19,X20)
& r1(X16,X19) ) )
& ! [X21] :
( ? [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] : r1(X24,X25)
& r1(X23,X24) )
| ~ r1(X22,X23) )
& r1(X21,X22) )
| ? [X26] :
( ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
& r1(X21,X26) )
| ~ r1(X16,X21) )
& ( ? [X28] :
( ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
& r1(X16,X28) )
| ! [X30] :
( ! [X31] :
( ? [X32] :
( p2(X32)
& ? [X33] : r1(X32,X33)
& r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) ) )
& ! [X34] :
( ! [X35] :
( ? [X36] :
( ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
& r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ p2(X34)
| ! [X38] :
( ( p2(X38)
& ? [X39] : r1(X38,X39) )
| ~ r1(X34,X38) )
| ~ r1(X16,X34) )
& ! [X40] :
( ? [X41] :
( p2(X41)
& ? [X42] : r1(X41,X42)
& r1(X40,X41) )
| ~ r1(X16,X40) ) )
| ~ r1(X0,X16) )
& ! [X43] :
( ? [X44] :
( ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
& r1(X43,X44) )
| ! [X46] :
( ! [X47] :
( ? [X48] :
( p1(X48)
& r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) )
| ~ r1(X0,X43) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X0,X12) )
& ! [X16] :
( ( ( ? [X17] :
( ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
& r1(X16,X17) )
| ? [X19] :
( p2(X19)
& ? [X20] : r1(X19,X20)
& r1(X16,X19) ) )
& ! [X21] :
( ? [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] : r1(X24,X25)
& r1(X23,X24) )
| ~ r1(X22,X23) )
& r1(X21,X22) )
| ? [X26] :
( ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
& r1(X21,X26) )
| ~ r1(X16,X21) )
& ( ? [X28] :
( ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
& r1(X16,X28) )
| ! [X30] :
( ! [X31] :
( ? [X32] :
( p2(X32)
& ? [X33] : r1(X32,X33)
& r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) ) )
& ! [X34] :
( ! [X35] :
( ? [X36] :
( ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
& r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ p2(X34)
| ! [X38] :
( ( p2(X38)
& ? [X39] : r1(X38,X39) )
| ~ r1(X34,X38) )
| ~ r1(X16,X34) )
& ! [X40] :
( ? [X41] :
( p2(X41)
& ? [X42] : r1(X41,X42)
& r1(X40,X41) )
| ~ r1(X16,X40) ) )
| ~ r1(X0,X16) )
& ! [X43] :
( ? [X44] :
( ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
& r1(X43,X44) )
| ! [X46] :
( ! [X47] :
( ? [X48] :
( p1(X48)
& r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) )
| ~ r1(X0,X43) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ! [X5] :
( ~ ! [X6] :
( ~ ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) )
| ~ ! [X12] :
( ~ ( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
& ~ ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) ) )
| ~ r1(X0,X12) )
| ~ ! [X16] :
( ~ ( ( ! [X17] :
( ~ ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& ! [X19] :
( ~ p2(X19)
| ! [X20] : ~ r1(X19,X20)
| ~ r1(X16,X19) ) )
| ~ ! [X21] :
( ~ ( ! [X22] :
( ~ ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] : ~ r1(X24,X25)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
& ! [X26] :
( ~ ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X21,X26) ) )
| ~ r1(X16,X21) )
| ( ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
| ~ r1(X16,X28) )
& ~ ! [X30] :
( ! [X31] :
( ~ ! [X32] :
( ~ p2(X32)
| ! [X33] : ~ r1(X32,X33)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) ) )
| ~ ! [X34] :
( ~ ( ~ ! [X35] :
( ~ ! [X36] :
( ~ ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& p2(X34)
& ~ ! [X38] :
( ~ ( ~ p2(X38)
| ! [X39] : ~ r1(X38,X39) )
| ~ r1(X34,X38) ) )
| ~ r1(X16,X34) )
| ~ ! [X40] :
( ~ ! [X41] :
( ~ p2(X41)
| ! [X42] : ~ r1(X41,X42)
| ~ r1(X40,X41) )
| ~ r1(X16,X40) ) )
| ~ r1(X0,X16) )
| ~ ! [X43] :
( ~ ( ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
& ~ ! [X46] :
( ! [X47] :
( ~ ! [X48] :
( ~ p1(X48)
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) ) )
| ~ r1(X0,X43) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ! [X5] :
( ~ ! [X6] :
( ~ ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) )
| ~ ! [X12] :
( ~ ( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
& ~ ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) ) )
| ~ r1(X0,X12) )
| ~ ! [X16] :
( ~ ( ( ! [X17] :
( ~ ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& ! [X19] :
( ~ p2(X19)
| ! [X20] : ~ r1(X19,X20)
| ~ r1(X16,X19) ) )
| ~ ! [X21] :
( ~ ( ! [X22] :
( ~ ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] : ~ r1(X24,X25)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
& ! [X26] :
( ~ ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X21,X26) ) )
| ~ r1(X16,X21) )
| ( ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
| ~ r1(X16,X28) )
& ~ ! [X30] :
( ! [X31] :
( ~ ! [X32] :
( ~ p2(X32)
| ! [X33] : ~ r1(X32,X33)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) ) )
| ~ ! [X34] :
( ~ ( ~ ! [X35] :
( ~ ! [X36] :
( ~ ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& p2(X34)
& ~ ! [X38] :
( ~ ( ~ p2(X38)
| ! [X39] : ~ r1(X38,X39) )
| ~ r1(X34,X38) ) )
| ~ r1(X16,X34) )
| ~ ! [X40] :
( ~ ! [X41] :
( ~ p2(X41)
| ! [X42] : ~ r1(X41,X42)
| ~ r1(X40,X41) )
| ~ r1(X16,X40) ) )
| ~ r1(X0,X16) )
| ~ ! [X43] :
( ~ ( ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
& ~ ! [X46] :
( ! [X47] :
( ~ ! [X48] :
( ~ p1(X48)
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) ) )
| ~ r1(X0,X43) )
| ~ ! [X49] :
( ~ p4(X49)
| ~ r1(X0,X49) ) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ! [X5] :
( ~ ! [X6] :
( ~ ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) )
| ~ ! [X12] :
( ~ ( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
& ~ ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) ) )
| ~ r1(X0,X12) )
| ~ ! [X16] :
( ~ ( ( ! [X17] :
( ~ ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& ! [X19] :
( ~ p2(X19)
| ! [X20] :
( p3(X20)
| ~ r1(X19,X20) )
| ~ r1(X16,X19) ) )
| ~ ! [X21] :
( ~ ( ! [X22] :
( ~ ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p3(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
& ! [X26] :
( ~ ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X21,X26) ) )
| ~ r1(X16,X21) )
| ( ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
| ~ r1(X16,X28) )
& ~ ! [X30] :
( ! [X31] :
( ~ ! [X32] :
( ~ p2(X32)
| ! [X33] :
( p3(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) ) )
| ~ ! [X34] :
( ~ ( ~ ! [X35] :
( ~ ! [X36] :
( ~ ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& p2(X34)
& ~ ! [X38] :
( ~ ( ~ p2(X38)
| ! [X39] :
( p3(X39)
| ~ r1(X38,X39) ) )
| ~ r1(X34,X38) ) )
| ~ r1(X16,X34) )
| ~ ! [X40] :
( ~ ! [X41] :
( ~ p2(X41)
| ! [X42] :
( p3(X42)
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X16,X40) ) )
| ~ r1(X0,X16) )
| ~ ! [X43] :
( ~ ( ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
& ~ ! [X46] :
( ! [X47] :
( ~ ! [X48] :
( ~ p1(X48)
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) ) )
| ~ r1(X0,X43) )
| ~ ! [X49] :
( ~ p4(X49)
| ~ r1(X0,X49) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ! [X5] :
( ~ ! [X6] :
( ~ ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) )
| ~ ! [X12] :
( ~ ( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
& ~ ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) ) )
| ~ r1(X0,X12) )
| ~ ! [X16] :
( ~ ( ( ! [X17] :
( ~ ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& ! [X19] :
( ~ p2(X19)
| ! [X20] :
( p3(X20)
| ~ r1(X19,X20) )
| ~ r1(X16,X19) ) )
| ~ ! [X21] :
( ~ ( ! [X22] :
( ~ ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p3(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
& ! [X26] :
( ~ ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X21,X26) ) )
| ~ r1(X16,X21) )
| ( ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
| ~ r1(X16,X28) )
& ~ ! [X30] :
( ! [X31] :
( ~ ! [X32] :
( ~ p2(X32)
| ! [X33] :
( p3(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) ) )
| ~ ! [X34] :
( ~ ( ~ ! [X35] :
( ~ ! [X36] :
( ~ ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& p2(X34)
& ~ ! [X38] :
( ~ ( ~ p2(X38)
| ! [X39] :
( p3(X39)
| ~ r1(X38,X39) ) )
| ~ r1(X34,X38) ) )
| ~ r1(X16,X34) )
| ~ ! [X40] :
( ~ ! [X41] :
( ~ p2(X41)
| ! [X42] :
( p3(X42)
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X16,X40) ) )
| ~ r1(X0,X16) )
| ~ ! [X43] :
( ~ ( ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
& ~ ! [X46] :
( ! [X47] :
( ~ ! [X48] :
( ~ p1(X48)
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) ) )
| ~ r1(X0,X43) )
| ~ ! [X49] :
( ~ p4(X49)
| ~ r1(X0,X49) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& p2(X0)
& ~ ! [X1] :
( ~ ( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ p4(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& p2(X0)
& ~ ! [X1] :
( ~ ( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ p4(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f1590,plain,
( p2(sK26(sK16(sK25)))
| ~ spl33_4
| ~ spl33_68 ),
inference(resolution,[],[f605,f590]) ).
fof(f590,plain,
( r1(sK16(sK25),sK26(sK16(sK25)))
| ~ spl33_4 ),
inference(resolution,[],[f589,f112]) ).
fof(f112,plain,
! [X6] :
( ~ r1(sK25,X6)
| r1(X6,sK26(X6)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f605,plain,
( ! [X0] :
( ~ r1(sK16(sK25),X0)
| p2(X0) )
| ~ spl33_68 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f604,plain,
( spl33_68
<=> ! [X0] :
( p2(X0)
| ~ r1(sK16(sK25),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_68])]) ).
fof(f1585,plain,
( ~ spl33_4
| ~ spl33_121 ),
inference(avatar_contradiction_clause,[],[f1584]) ).
fof(f1584,plain,
( $false
| ~ spl33_4
| ~ spl33_121 ),
inference(subsumption_resolution,[],[f1583,f126]) ).
fof(f126,plain,
sP3(sK25),
inference(resolution,[],[f117,f72]) ).
fof(f72,plain,
! [X0] :
( ~ sP8(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ( sP7(X0)
& sP6(X0)
& sP5(X0)
& sP3(X0)
& sP4(X0) )
| ~ sP8(X0) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X16] :
( ( sP7(X16)
& sP6(X16)
& sP5(X16)
& sP3(X16)
& sP4(X16) )
| ~ sP8(X16) ),
inference(nnf_transformation,[],[f17]) ).
fof(f117,plain,
sP8(sK25),
inference(resolution,[],[f103,f111]) ).
fof(f111,plain,
r1(sK23,sK25),
inference(cnf_transformation,[],[f70]) ).
fof(f103,plain,
! [X16] :
( ~ r1(sK23,X16)
| sP8(X16) ),
inference(cnf_transformation,[],[f70]) ).
fof(f1583,plain,
( ~ sP3(sK25)
| ~ spl33_4
| ~ spl33_121 ),
inference(resolution,[],[f1581,f589]) ).
fof(f1581,plain,
( ! [X1] :
( ~ r1(X1,sK16(sK25))
| ~ sP3(X1) )
| ~ spl33_121 ),
inference(avatar_component_clause,[],[f1580]) ).
fof(f1580,plain,
( spl33_121
<=> ! [X1] :
( ~ r1(X1,sK16(sK25))
| ~ sP3(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_121])]) ).
fof(f1582,plain,
( spl33_121
| spl33_68
| ~ spl33_45
| ~ spl33_67
| ~ spl33_69 ),
inference(avatar_split_clause,[],[f1578,f607,f601,f450,f604,f1580]) ).
fof(f450,plain,
( spl33_45
<=> sP1(sK16(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_45])]) ).
fof(f601,plain,
( spl33_67
<=> ! [X1] :
( ~ r1(sK16(sK25),X1)
| r1(X1,sK14(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_67])]) ).
fof(f607,plain,
( spl33_69
<=> p2(sK16(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_69])]) ).
fof(f1578,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK16(sK25),X0)
| ~ r1(X1,sK16(sK25))
| ~ sP3(X1) )
| ~ spl33_45
| ~ spl33_67
| ~ spl33_69 ),
inference(subsumption_resolution,[],[f1577,f608]) ).
fof(f608,plain,
( p2(sK16(sK25))
| ~ spl33_69 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f1577,plain,
( ! [X0,X1] :
( ~ p2(sK16(sK25))
| p2(X0)
| ~ r1(sK16(sK25),X0)
| ~ r1(X1,sK16(sK25))
| ~ sP3(X1) )
| ~ spl33_45
| ~ spl33_67 ),
inference(resolution,[],[f1232,f1045]) ).
fof(f1045,plain,
( r1(sK16(sK25),sK18(sK16(sK25)))
| ~ spl33_45 ),
inference(resolution,[],[f452,f92]) ).
fof(f92,plain,
! [X0] :
( ~ sP1(X0)
| r1(X0,sK18(X0)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ( ! [X2] :
( ( p2(sK19(X2))
& r1(sK19(X2),sK20(X2))
& r1(X2,sK19(X2)) )
| ~ r1(sK18(X0),X2) )
& r1(X0,sK18(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20])],[f49,f52,f51,f50]) ).
fof(f50,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] : r1(X3,X4)
& r1(X2,X3) )
| ~ r1(X1,X2) )
& r1(X0,X1) )
=> ( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] : r1(X3,X4)
& r1(X2,X3) )
| ~ r1(sK18(X0),X2) )
& r1(X0,sK18(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] : r1(X3,X4)
& r1(X2,X3) )
=> ( p2(sK19(X2))
& ? [X4] : r1(sK19(X2),X4)
& r1(X2,sK19(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X2] :
( ? [X4] : r1(sK19(X2),X4)
=> r1(sK19(X2),sK20(X2)) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] : r1(X3,X4)
& r1(X2,X3) )
| ~ r1(X1,X2) )
& r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X21] :
( ? [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] : r1(X24,X25)
& r1(X23,X24) )
| ~ r1(X22,X23) )
& r1(X21,X22) )
| ~ sP1(X21) ),
inference(nnf_transformation,[],[f10]) ).
fof(f452,plain,
( sP1(sK16(sK25))
| ~ spl33_45 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f1232,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,sK18(sK16(sK25)))
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP3(X2) )
| ~ spl33_45
| ~ spl33_67 ),
inference(subsumption_resolution,[],[f1230,f1094]) ).
fof(f1094,plain,
( p2(sK19(sK14(sK18(sK16(sK25)))))
| ~ spl33_45
| ~ spl33_67 ),
inference(resolution,[],[f1048,f1044]) ).
fof(f1044,plain,
( ! [X0] :
( ~ r1(sK18(sK16(sK25)),X0)
| p2(sK19(X0)) )
| ~ spl33_45 ),
inference(resolution,[],[f452,f95]) ).
fof(f95,plain,
! [X2,X0] :
( ~ sP1(X0)
| ~ r1(sK18(X0),X2)
| p2(sK19(X2)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f1048,plain,
( r1(sK18(sK16(sK25)),sK14(sK18(sK16(sK25))))
| ~ spl33_45
| ~ spl33_67 ),
inference(resolution,[],[f1045,f602]) ).
fof(f602,plain,
( ! [X1] :
( ~ r1(sK16(sK25),X1)
| r1(X1,sK14(X1)) )
| ~ spl33_67 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f1230,plain,
( ! [X2,X0,X1] :
( ~ p2(sK19(sK14(sK18(sK16(sK25)))))
| ~ r1(X0,sK18(sK16(sK25)))
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP3(X2) )
| ~ spl33_45
| ~ spl33_67 ),
inference(resolution,[],[f1093,f88]) ).
fof(f88,plain,
! [X2,X0,X1,X4,X5] :
( ~ r1(sK14(X2),X4)
| ~ p2(X4)
| ~ r1(X1,X2)
| ~ p2(X1)
| p2(X5)
| ~ r1(X1,X5)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ! [X4] :
( ~ p2(X4)
| ~ r1(sK14(X2),X4) )
& r1(X2,sK14(X2)) )
| ~ r1(X1,X2) )
| ~ p2(X1)
| ! [X5] :
( ( p2(X5)
& r1(X5,sK15(X5)) )
| ~ r1(X1,X5) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f39,f41,f40]) ).
fof(f40,plain,
! [X2] :
( ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ~ r1(X3,X4) )
& r1(X2,X3) )
=> ( ! [X4] :
( ~ p2(X4)
| ~ r1(sK14(X2),X4) )
& r1(X2,sK14(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X5] :
( ? [X6] : r1(X5,X6)
=> r1(X5,sK15(X5)) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ~ r1(X3,X4) )
& r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ p2(X1)
| ! [X5] :
( ( p2(X5)
& ? [X6] : r1(X5,X6) )
| ~ r1(X1,X5) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X16] :
( ! [X34] :
( ! [X35] :
( ? [X36] :
( ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
& r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ p2(X34)
| ! [X38] :
( ( p2(X38)
& ? [X39] : r1(X38,X39) )
| ~ r1(X34,X38) )
| ~ r1(X16,X34) )
| ~ sP3(X16) ),
inference(nnf_transformation,[],[f12]) ).
fof(f1093,plain,
( r1(sK14(sK18(sK16(sK25))),sK19(sK14(sK18(sK16(sK25)))))
| ~ spl33_45
| ~ spl33_67 ),
inference(resolution,[],[f1048,f1043]) ).
fof(f1043,plain,
( ! [X0] :
( ~ r1(sK18(sK16(sK25)),X0)
| r1(X0,sK19(X0)) )
| ~ spl33_45 ),
inference(resolution,[],[f452,f93]) ).
fof(f93,plain,
! [X2,X0] :
( ~ sP1(X0)
| ~ r1(sK18(X0),X2)
| r1(X2,sK19(X2)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f1041,plain,
( ~ spl33_4
| ~ spl33_74 ),
inference(avatar_contradiction_clause,[],[f1040]) ).
fof(f1040,plain,
( $false
| ~ spl33_4
| ~ spl33_74 ),
inference(subsumption_resolution,[],[f1039,f124]) ).
fof(f124,plain,
sP6(sK25),
inference(resolution,[],[f117,f74]) ).
fof(f74,plain,
! [X0] :
( ~ sP8(X0)
| sP6(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f1039,plain,
( ~ sP6(sK25)
| ~ spl33_4
| ~ spl33_74 ),
inference(resolution,[],[f861,f589]) ).
fof(f861,plain,
( ! [X0] :
( ~ r1(X0,sK16(sK25))
| ~ sP6(X0) )
| ~ spl33_74 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f860,plain,
( spl33_74
<=> ! [X0] :
( ~ r1(X0,sK16(sK25))
| ~ sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_74])]) ).
fof(f976,plain,
( spl33_8
| ~ spl33_7 ),
inference(avatar_split_clause,[],[f975,f160,f164]) ).
fof(f164,plain,
( spl33_8
<=> sP0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_8])]) ).
fof(f160,plain,
( spl33_7
<=> r1(sK25,sK11(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_7])]) ).
fof(f975,plain,
( sP0(sK25)
| ~ spl33_7 ),
inference(subsumption_resolution,[],[f971,f125]) ).
fof(f125,plain,
sP5(sK25),
inference(resolution,[],[f117,f73]) ).
fof(f73,plain,
! [X0] :
( ~ sP8(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f971,plain,
( sP0(sK25)
| ~ sP5(sK25)
| ~ spl33_7 ),
inference(subsumption_resolution,[],[f970,f946]) ).
fof(f946,plain,
( p2(sK12(sK11(sK25)))
| ~ spl33_7 ),
inference(resolution,[],[f162,f169]) ).
fof(f169,plain,
! [X0] :
( ~ r1(sK25,X0)
| p2(sK12(X0)) ),
inference(resolution,[],[f84,f127]) ).
fof(f127,plain,
sP4(sK25),
inference(resolution,[],[f117,f71]) ).
fof(f71,plain,
! [X0] :
( ~ sP8(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f84,plain,
! [X0,X1] :
( ~ sP4(X0)
| ~ r1(X0,X1)
| p2(sK12(X1)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ( p2(sK12(X1))
& r1(sK12(X1),sK13(X1))
& r1(X1,sK12(X1)) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f34,f36,f35]) ).
fof(f35,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] : r1(X2,X3)
& r1(X1,X2) )
=> ( p2(sK12(X1))
& ? [X3] : r1(sK12(X1),X3)
& r1(X1,sK12(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X1] :
( ? [X3] : r1(sK12(X1),X3)
=> r1(sK12(X1),sK13(X1)) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] : r1(X2,X3)
& r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X16] :
( ! [X40] :
( ? [X41] :
( p2(X41)
& ? [X42] : r1(X41,X42)
& r1(X40,X41) )
| ~ r1(X16,X40) )
| ~ sP4(X16) ),
inference(nnf_transformation,[],[f13]) ).
fof(f162,plain,
( r1(sK25,sK11(sK25))
| ~ spl33_7 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f970,plain,
( ~ p2(sK12(sK11(sK25)))
| sP0(sK25)
| ~ sP5(sK25)
| ~ spl33_7 ),
inference(resolution,[],[f947,f81]) ).
fof(f81,plain,
! [X2,X0] :
( ~ r1(sK11(X0),X2)
| ~ p2(X2)
| sP0(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ( ! [X2] :
( ~ p2(X2)
| ~ r1(sK11(X0),X2) )
& r1(X0,sK11(X0)) )
| sP0(X0)
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f30,f31]) ).
fof(f31,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p2(X2)
| ~ r1(sK11(X0),X2) )
& r1(X0,sK11(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
& r1(X0,X1) )
| sP0(X0)
| ~ sP5(X0) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X16] :
( ? [X28] :
( ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
& r1(X16,X28) )
| sP0(X16)
| ~ sP5(X16) ),
inference(nnf_transformation,[],[f14]) ).
fof(f947,plain,
( r1(sK11(sK25),sK12(sK11(sK25)))
| ~ spl33_7 ),
inference(resolution,[],[f162,f172]) ).
fof(f172,plain,
! [X0] :
( ~ r1(sK25,X0)
| r1(X0,sK12(X0)) ),
inference(resolution,[],[f82,f127]) ).
fof(f82,plain,
! [X0,X1] :
( ~ sP4(X0)
| ~ r1(X0,X1)
| r1(X1,sK12(X1)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f940,plain,
( spl33_74
| spl33_45
| ~ spl33_4
| ~ spl33_8
| ~ spl33_46 ),
inference(avatar_split_clause,[],[f939,f454,f164,f144,f450,f860]) ).
fof(f454,plain,
( spl33_46
<=> r1(sK16(sK25),sK10(sK16(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_46])]) ).
fof(f939,plain,
( ! [X0] :
( sP1(sK16(sK25))
| ~ r1(X0,sK16(sK25))
| ~ sP6(X0) )
| ~ spl33_4
| ~ spl33_8
| ~ spl33_46 ),
inference(subsumption_resolution,[],[f938,f798]) ).
fof(f798,plain,
( p2(sK21(sK10(sK16(sK25))))
| ~ spl33_4
| ~ spl33_8
| ~ spl33_46 ),
inference(resolution,[],[f674,f456]) ).
fof(f456,plain,
( r1(sK16(sK25),sK10(sK16(sK25)))
| ~ spl33_46 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f674,plain,
( ! [X0] :
( ~ r1(sK16(sK25),X0)
| p2(sK21(X0)) )
| ~ spl33_4
| ~ spl33_8 ),
inference(resolution,[],[f439,f589]) ).
fof(f439,plain,
( ! [X0,X1] :
( ~ r1(sK25,X0)
| ~ r1(X0,X1)
| p2(sK21(X1)) )
| ~ spl33_8 ),
inference(resolution,[],[f166,f98]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(sK21(X2)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK21(X2))
& r1(sK21(X2),sK22(X2))
& r1(X2,sK21(X2)) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f55,f57,f56]) ).
fof(f56,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] : r1(X3,X4)
& r1(X2,X3) )
=> ( p2(sK21(X2))
& ? [X4] : r1(sK21(X2),X4)
& r1(X2,sK21(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X2] :
( ? [X4] : r1(sK21(X2),X4)
=> r1(sK21(X2),sK22(X2)) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] : r1(X3,X4)
& r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X16] :
( ! [X30] :
( ! [X31] :
( ? [X32] :
( p2(X32)
& ? [X33] : r1(X32,X33)
& r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) )
| ~ sP0(X16) ),
inference(nnf_transformation,[],[f9]) ).
fof(f166,plain,
( sP0(sK25)
| ~ spl33_8 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f938,plain,
( ! [X0] :
( ~ p2(sK21(sK10(sK16(sK25))))
| sP1(sK16(sK25))
| ~ r1(X0,sK16(sK25))
| ~ sP6(X0) )
| ~ spl33_4
| ~ spl33_8
| ~ spl33_46 ),
inference(resolution,[],[f842,f79]) ).
fof(f79,plain,
! [X3,X0,X1] :
( ~ r1(sK10(X1),X3)
| ~ p2(X3)
| sP1(X1)
| ~ r1(X0,X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ! [X1] :
( sP1(X1)
| ( ! [X3] :
( ~ p2(X3)
| ~ r1(sK10(X1),X3) )
& r1(X1,sK10(X1)) )
| ~ r1(X0,X1) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f26,f27]) ).
fof(f27,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ~ r1(X2,X3) )
& r1(X1,X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ~ r1(sK10(X1),X3) )
& r1(X1,sK10(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0] :
( ! [X1] :
( sP1(X1)
| ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ~ r1(X2,X3) )
& r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP6(X0) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X16] :
( ! [X21] :
( sP1(X21)
| ? [X26] :
( ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
& r1(X21,X26) )
| ~ r1(X16,X21) )
| ~ sP6(X16) ),
inference(nnf_transformation,[],[f15]) ).
fof(f842,plain,
( r1(sK10(sK16(sK25)),sK21(sK10(sK16(sK25))))
| ~ spl33_4
| ~ spl33_8
| ~ spl33_46 ),
inference(resolution,[],[f687,f456]) ).
fof(f687,plain,
( ! [X0] :
( ~ r1(sK16(sK25),X0)
| r1(X0,sK21(X0)) )
| ~ spl33_4
| ~ spl33_8 ),
inference(resolution,[],[f438,f589]) ).
fof(f438,plain,
( ! [X0,X1] :
( ~ r1(sK25,X0)
| ~ r1(X0,X1)
| r1(X1,sK21(X1)) )
| ~ spl33_8 ),
inference(resolution,[],[f166,f96]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X2,sK21(X2)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f619,plain,
( ~ spl33_4
| spl33_69 ),
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f618,plain,
( $false
| ~ spl33_4
| spl33_69 ),
inference(subsumption_resolution,[],[f617,f146]) ).
fof(f617,plain,
( ~ sP2(sK25)
| spl33_69 ),
inference(resolution,[],[f609,f91]) ).
fof(f91,plain,
! [X0] :
( p2(sK16(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f609,plain,
( ~ p2(sK16(sK25))
| spl33_69 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f610,plain,
( spl33_67
| spl33_68
| ~ spl33_69
| ~ spl33_4 ),
inference(avatar_split_clause,[],[f596,f144,f607,f604,f601]) ).
fof(f596,plain,
( ! [X0,X1] :
( ~ p2(sK16(sK25))
| p2(X0)
| ~ r1(sK16(sK25),X0)
| ~ r1(sK16(sK25),X1)
| r1(X1,sK14(X1)) )
| ~ spl33_4 ),
inference(resolution,[],[f589,f254]) ).
fof(f254,plain,
! [X2,X0,X1] :
( ~ r1(sK25,X0)
| ~ p2(X0)
| p2(X2)
| ~ r1(X0,X2)
| ~ r1(X0,X1)
| r1(X1,sK14(X1)) ),
inference(resolution,[],[f86,f126]) ).
fof(f86,plain,
! [X2,X0,X1,X5] :
( ~ sP3(X0)
| ~ r1(X1,X2)
| ~ p2(X1)
| p2(X5)
| ~ r1(X1,X5)
| ~ r1(X0,X1)
| r1(X2,sK14(X2)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f599,plain,
( spl33_45
| spl33_46
| ~ spl33_4 ),
inference(avatar_split_clause,[],[f593,f144,f454,f450]) ).
fof(f593,plain,
( r1(sK16(sK25),sK10(sK16(sK25)))
| sP1(sK16(sK25))
| ~ spl33_4 ),
inference(resolution,[],[f589,f182]) ).
fof(f182,plain,
! [X0] :
( ~ r1(sK25,X0)
| r1(X0,sK10(X0))
| sP1(X0) ),
inference(resolution,[],[f78,f124]) ).
fof(f78,plain,
! [X0,X1] :
( ~ sP6(X0)
| r1(X1,sK10(X1))
| ~ r1(X0,X1)
| sP1(X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f588,plain,
( spl33_4
| ~ spl33_3 ),
inference(avatar_split_clause,[],[f587,f140,f144]) ).
fof(f140,plain,
( spl33_3
<=> r1(sK25,sK9(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_3])]) ).
fof(f587,plain,
( sP2(sK25)
| ~ spl33_3 ),
inference(subsumption_resolution,[],[f583,f123]) ).
fof(f123,plain,
sP7(sK25),
inference(resolution,[],[f117,f75]) ).
fof(f75,plain,
! [X0] :
( ~ sP8(X0)
| sP7(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f583,plain,
( sP2(sK25)
| ~ sP7(sK25)
| ~ spl33_3 ),
inference(subsumption_resolution,[],[f582,f462]) ).
fof(f462,plain,
( p2(sK12(sK9(sK25)))
| ~ spl33_3 ),
inference(resolution,[],[f142,f169]) ).
fof(f142,plain,
( r1(sK25,sK9(sK25))
| ~ spl33_3 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f582,plain,
( ~ p2(sK12(sK9(sK25)))
| sP2(sK25)
| ~ sP7(sK25)
| ~ spl33_3 ),
inference(resolution,[],[f461,f77]) ).
fof(f77,plain,
! [X2,X0] :
( ~ r1(sK9(X0),X2)
| ~ p2(X2)
| sP2(X0)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( ( ! [X2] :
( ~ p2(X2)
| ~ r1(sK9(X0),X2) )
& r1(X0,sK9(X0)) )
| sP2(X0)
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f22,f23]) ).
fof(f23,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p2(X2)
| ~ r1(sK9(X0),X2) )
& r1(X0,sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
& r1(X0,X1) )
| sP2(X0)
| ~ sP7(X0) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X16] :
( ? [X17] :
( ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
& r1(X16,X17) )
| sP2(X16)
| ~ sP7(X16) ),
inference(nnf_transformation,[],[f16]) ).
fof(f461,plain,
( r1(sK9(sK25),sK12(sK9(sK25)))
| ~ spl33_3 ),
inference(resolution,[],[f142,f172]) ).
fof(f167,plain,
( spl33_7
| spl33_8 ),
inference(avatar_split_clause,[],[f149,f164,f160]) ).
fof(f149,plain,
( sP0(sK25)
| r1(sK25,sK11(sK25)) ),
inference(resolution,[],[f80,f125]) ).
fof(f80,plain,
! [X0] :
( ~ sP5(X0)
| sP0(X0)
| r1(X0,sK11(X0)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f147,plain,
( spl33_3
| spl33_4 ),
inference(avatar_split_clause,[],[f129,f144,f140]) ).
fof(f129,plain,
( sP2(sK25)
| r1(sK25,sK9(sK25)) ),
inference(resolution,[],[f76,f123]) ).
fof(f76,plain,
! [X0] :
( ~ sP7(X0)
| sP2(X0)
| r1(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL652+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 22:47:12 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (7041)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (7044)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (7045)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (7048)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (7050)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (7046)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)
% 0.14/0.37 % (7051)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)
% 0.14/0.37 % (7049)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [4]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [5]
% 0.14/0.39 TRYING [4]
% 0.14/0.40 TRYING [5]
% 0.14/0.40 TRYING [5]
% 0.21/0.41 TRYING [5]
% 0.21/0.41 % (7050)First to succeed.
% 0.21/0.42 % (7050)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Theorem for theBenchmark
% 0.21/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42 % (7050)------------------------------
% 0.21/0.42 % (7050)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.42 % (7050)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (7050)Memory used [KB]: 1401
% 0.21/0.42 % (7050)Time elapsed: 0.049 s
% 0.21/0.42 % (7050)Instructions burned: 86 (million)
% 0.21/0.42 % (7050)------------------------------
% 0.21/0.42 % (7050)------------------------------
% 0.21/0.42 % (7041)Success in time 0.065 s
%------------------------------------------------------------------------------