TSTP Solution File: LCL640+1.005 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL640+1.005 : 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 : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:50:52 EDT 2024
% Result : Theorem 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 71
% Syntax : Number of formulae : 315 ( 13 unt; 0 def)
% Number of atoms : 2347 ( 0 equ)
% Maximal formula atoms : 122 ( 7 avg)
% Number of connectives : 3533 (1501 ~;1518 |; 456 &)
% ( 33 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 48 ( 47 usr; 34 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 6 con; 0-1 aty)
% Number of variables : 1037 ( 826 !; 211 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1928,plain,
$false,
inference(avatar_sat_refutation,[],[f232,f272,f309,f314,f330,f373,f381,f386,f389,f396,f401,f406,f706,f749,f827,f1068,f1081,f1100,f1145,f1161,f1349,f1440,f1486,f1509,f1742,f1764,f1770,f1795,f1799,f1815,f1895,f1917,f1919,f1927]) ).
fof(f1927,plain,
( ~ spl40_37
| ~ spl40_174 ),
inference(avatar_contradiction_clause,[],[f1926]) ).
fof(f1926,plain,
( $false
| ~ spl40_37
| ~ spl40_174 ),
inference(subsumption_resolution,[],[f1925,f246]) ).
fof(f246,plain,
sP9(sK33),
inference(resolution,[],[f244,f132]) ).
fof(f132,plain,
r1(sK32,sK33),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ! [X1] :
( ( ! [X2] :
( ( ~ p1(sK27(X2))
& r1(X2,sK27(X2)) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( sP11(X1)
| ! [X6] :
( ( ~ p1(sK28(X6))
& r1(X6,sK28(X6)) )
| ~ r1(X1,X6) )
| p1(X1) ) )
| ~ r1(sK26,X1) )
& ! [X8] :
( ! [X9] :
( ( ! [X10] :
( ( ~ p1(sK29(X10))
& r1(X10,sK29(X10)) )
| ! [X12] :
( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X10,X12) )
| ~ r1(X9,X10) )
& ( sP10(X9)
| ! [X14] :
( ( ~ p1(sK30(X14))
& r1(X14,sK30(X14)) )
| ~ r1(X9,X14) )
| p1(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(sK26,X8) )
& ! [X19] :
( ( p1(sK34(X19))
& ~ p1(sK35(X19))
& r1(sK34(X19),sK35(X19))
& r1(X19,sK34(X19)) )
| p1(X19)
| ~ r1(sK33,X19) )
& ! [X23] :
( p1(X23)
| ~ r1(sK36,X23) )
& r1(sK33,sK36)
& ~ p1(sK37)
& r1(sK33,sK37)
& r1(sK32,sK33)
& r1(sK31,sK32)
& r1(sK26,sK31)
& ! [X25] :
( ! [X26] :
( ! [X27] :
( ( sP7(X27)
& sP9(X27)
& sP8(X27)
& sP6(X27) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(sK26,X25) )
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ( ! [X32] :
( ( ~ p1(sK38(X32))
& r1(X32,sK38(X32)) )
| ! [X34] :
( ! [X35] :
( p1(X35)
| ~ r1(X34,X35) )
| ~ r1(X32,X34) )
| ~ r1(X31,X32) )
& ( sP0(X31)
| ! [X36] :
( ( ~ p1(sK39(X36))
& r1(X36,sK39(X36)) )
| ~ r1(X31,X36) )
| p1(X31) ) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(sK26,X28) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39])],[f70,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71]) ).
fof(f71,plain,
( ? [X0] :
( ! [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( sP11(X1)
| ! [X6] :
( ? [X7] :
( ~ p1(X7)
& r1(X6,X7) )
| ~ r1(X1,X6) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X8] :
( ! [X9] :
( ( ! [X10] :
( ? [X11] :
( ~ p1(X11)
& r1(X10,X11) )
| ! [X12] :
( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X10,X12) )
| ~ r1(X9,X10) )
& ( sP10(X9)
| ! [X14] :
( ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
| ~ r1(X9,X14) )
| p1(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(X0,X8) )
& ? [X16] :
( ? [X17] :
( ? [X18] :
( ! [X19] :
( ? [X20] :
( p1(X20)
& ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
& r1(X19,X20) )
| p1(X19)
| ~ r1(X18,X19) )
& ? [X22] :
( ! [X23] :
( p1(X23)
| ~ r1(X22,X23) )
& r1(X18,X22) )
& ? [X24] :
( ~ p1(X24)
& r1(X18,X24) )
& r1(X17,X18) )
& r1(X16,X17) )
& r1(X0,X16) )
& ! [X25] :
( ! [X26] :
( ! [X27] :
( ( sP7(X27)
& sP9(X27)
& sP8(X27)
& sP6(X27) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X0,X25) )
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ( ! [X32] :
( ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
| ! [X34] :
( ! [X35] :
( p1(X35)
| ~ r1(X34,X35) )
| ~ r1(X32,X34) )
| ~ r1(X31,X32) )
& ( sP0(X31)
| ! [X36] :
( ? [X37] :
( ~ p1(X37)
& r1(X36,X37) )
| ~ r1(X31,X36) )
| p1(X31) ) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) ) )
=> ( ! [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( sP11(X1)
| ! [X6] :
( ? [X7] :
( ~ p1(X7)
& r1(X6,X7) )
| ~ r1(X1,X6) )
| p1(X1) ) )
| ~ r1(sK26,X1) )
& ! [X8] :
( ! [X9] :
( ( ! [X10] :
( ? [X11] :
( ~ p1(X11)
& r1(X10,X11) )
| ! [X12] :
( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X10,X12) )
| ~ r1(X9,X10) )
& ( sP10(X9)
| ! [X14] :
( ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
| ~ r1(X9,X14) )
| p1(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(sK26,X8) )
& ? [X16] :
( ? [X17] :
( ? [X18] :
( ! [X19] :
( ? [X20] :
( p1(X20)
& ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
& r1(X19,X20) )
| p1(X19)
| ~ r1(X18,X19) )
& ? [X22] :
( ! [X23] :
( p1(X23)
| ~ r1(X22,X23) )
& r1(X18,X22) )
& ? [X24] :
( ~ p1(X24)
& r1(X18,X24) )
& r1(X17,X18) )
& r1(X16,X17) )
& r1(sK26,X16) )
& ! [X25] :
( ! [X26] :
( ! [X27] :
( ( sP7(X27)
& sP9(X27)
& sP8(X27)
& sP6(X27) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(sK26,X25) )
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ( ! [X32] :
( ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
| ! [X34] :
( ! [X35] :
( p1(X35)
| ~ r1(X34,X35) )
| ~ r1(X32,X34) )
| ~ r1(X31,X32) )
& ( sP0(X31)
| ! [X36] :
( ? [X37] :
( ~ p1(X37)
& r1(X36,X37) )
| ~ r1(X31,X36) )
| p1(X31) ) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(sK26,X28) ) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
=> ( ~ p1(sK27(X2))
& r1(X2,sK27(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X6] :
( ? [X7] :
( ~ p1(X7)
& r1(X6,X7) )
=> ( ~ p1(sK28(X6))
& r1(X6,sK28(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X10] :
( ? [X11] :
( ~ p1(X11)
& r1(X10,X11) )
=> ( ~ p1(sK29(X10))
& r1(X10,sK29(X10)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X14] :
( ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
=> ( ~ p1(sK30(X14))
& r1(X14,sK30(X14)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
( ? [X16] :
( ? [X17] :
( ? [X18] :
( ! [X19] :
( ? [X20] :
( p1(X20)
& ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
& r1(X19,X20) )
| p1(X19)
| ~ r1(X18,X19) )
& ? [X22] :
( ! [X23] :
( p1(X23)
| ~ r1(X22,X23) )
& r1(X18,X22) )
& ? [X24] :
( ~ p1(X24)
& r1(X18,X24) )
& r1(X17,X18) )
& r1(X16,X17) )
& r1(sK26,X16) )
=> ( ? [X17] :
( ? [X18] :
( ! [X19] :
( ? [X20] :
( p1(X20)
& ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
& r1(X19,X20) )
| p1(X19)
| ~ r1(X18,X19) )
& ? [X22] :
( ! [X23] :
( p1(X23)
| ~ r1(X22,X23) )
& r1(X18,X22) )
& ? [X24] :
( ~ p1(X24)
& r1(X18,X24) )
& r1(X17,X18) )
& r1(sK31,X17) )
& r1(sK26,sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
( ? [X17] :
( ? [X18] :
( ! [X19] :
( ? [X20] :
( p1(X20)
& ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
& r1(X19,X20) )
| p1(X19)
| ~ r1(X18,X19) )
& ? [X22] :
( ! [X23] :
( p1(X23)
| ~ r1(X22,X23) )
& r1(X18,X22) )
& ? [X24] :
( ~ p1(X24)
& r1(X18,X24) )
& r1(X17,X18) )
& r1(sK31,X17) )
=> ( ? [X18] :
( ! [X19] :
( ? [X20] :
( p1(X20)
& ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
& r1(X19,X20) )
| p1(X19)
| ~ r1(X18,X19) )
& ? [X22] :
( ! [X23] :
( p1(X23)
| ~ r1(X22,X23) )
& r1(X18,X22) )
& ? [X24] :
( ~ p1(X24)
& r1(X18,X24) )
& r1(sK32,X18) )
& r1(sK31,sK32) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( ? [X18] :
( ! [X19] :
( ? [X20] :
( p1(X20)
& ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
& r1(X19,X20) )
| p1(X19)
| ~ r1(X18,X19) )
& ? [X22] :
( ! [X23] :
( p1(X23)
| ~ r1(X22,X23) )
& r1(X18,X22) )
& ? [X24] :
( ~ p1(X24)
& r1(X18,X24) )
& r1(sK32,X18) )
=> ( ! [X19] :
( ? [X20] :
( p1(X20)
& ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
& r1(X19,X20) )
| p1(X19)
| ~ r1(sK33,X19) )
& ? [X22] :
( ! [X23] :
( p1(X23)
| ~ r1(X22,X23) )
& r1(sK33,X22) )
& ? [X24] :
( ~ p1(X24)
& r1(sK33,X24) )
& r1(sK32,sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X19] :
( ? [X20] :
( p1(X20)
& ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
& r1(X19,X20) )
=> ( p1(sK34(X19))
& ? [X21] :
( ~ p1(X21)
& r1(sK34(X19),X21) )
& r1(X19,sK34(X19)) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X19] :
( ? [X21] :
( ~ p1(X21)
& r1(sK34(X19),X21) )
=> ( ~ p1(sK35(X19))
& r1(sK34(X19),sK35(X19)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
( ? [X22] :
( ! [X23] :
( p1(X23)
| ~ r1(X22,X23) )
& r1(sK33,X22) )
=> ( ! [X23] :
( p1(X23)
| ~ r1(sK36,X23) )
& r1(sK33,sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
( ? [X24] :
( ~ p1(X24)
& r1(sK33,X24) )
=> ( ~ p1(sK37)
& r1(sK33,sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X32] :
( ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
=> ( ~ p1(sK38(X32))
& r1(X32,sK38(X32)) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X36] :
( ? [X37] :
( ~ p1(X37)
& r1(X36,X37) )
=> ( ~ p1(sK39(X36))
& r1(X36,sK39(X36)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
? [X0] :
( ! [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( sP11(X1)
| ! [X6] :
( ? [X7] :
( ~ p1(X7)
& r1(X6,X7) )
| ~ r1(X1,X6) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X8] :
( ! [X9] :
( ( ! [X10] :
( ? [X11] :
( ~ p1(X11)
& r1(X10,X11) )
| ! [X12] :
( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X10,X12) )
| ~ r1(X9,X10) )
& ( sP10(X9)
| ! [X14] :
( ? [X15] :
( ~ p1(X15)
& r1(X14,X15) )
| ~ r1(X9,X14) )
| p1(X9) ) )
| ~ r1(X8,X9) )
| ~ r1(X0,X8) )
& ? [X16] :
( ? [X17] :
( ? [X18] :
( ! [X19] :
( ? [X20] :
( p1(X20)
& ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
& r1(X19,X20) )
| p1(X19)
| ~ r1(X18,X19) )
& ? [X22] :
( ! [X23] :
( p1(X23)
| ~ r1(X22,X23) )
& r1(X18,X22) )
& ? [X24] :
( ~ p1(X24)
& r1(X18,X24) )
& r1(X17,X18) )
& r1(X16,X17) )
& r1(X0,X16) )
& ! [X25] :
( ! [X26] :
( ! [X27] :
( ( sP7(X27)
& sP9(X27)
& sP8(X27)
& sP6(X27) )
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| ~ r1(X0,X25) )
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ( ! [X32] :
( ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
| ! [X34] :
( ! [X35] :
( p1(X35)
| ~ r1(X34,X35) )
| ~ r1(X32,X34) )
| ~ r1(X31,X32) )
& ( sP0(X31)
| ! [X36] :
( ? [X37] :
( ~ p1(X37)
& r1(X36,X37) )
| ~ r1(X31,X36) )
| p1(X31) ) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) ) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
? [X0] :
( ! [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( sP11(X1)
| ! [X9] :
( ? [X10] :
( ~ p1(X10)
& r1(X9,X10) )
| ~ r1(X1,X9) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ( ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ( sP10(X12)
| ! [X20] :
( ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
| ~ r1(X12,X20) )
| p1(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ? [X22] :
( ? [X23] :
( ? [X24] :
( ! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
| p1(X25)
| ~ r1(X24,X25) )
& ? [X28] :
( ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
& r1(X24,X28) )
& ? [X30] :
( ~ p1(X30)
& r1(X24,X30) )
& r1(X23,X24) )
& r1(X22,X23) )
& r1(X0,X22) )
& ! [X31] :
( ! [X32] :
( ! [X33] :
( ( sP7(X33)
& sP9(X33)
& sP8(X33)
& sP6(X33) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X0,X31) )
& ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ( ! [X64] :
( ? [X65] :
( ~ p1(X65)
& r1(X64,X65) )
| ! [X66] :
( ! [X67] :
( p1(X67)
| ~ r1(X66,X67) )
| ~ r1(X64,X66) )
| ~ r1(X63,X64) )
& ( sP0(X63)
| ! [X71] :
( ? [X72] :
( ~ p1(X72)
& r1(X71,X72) )
| ~ r1(X63,X71) )
| p1(X63) ) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X0,X60) ) ),
inference(definition_folding,[],[f6,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7]) ).
fof(f7,plain,
! [X63] :
( ? [X68] :
( ! [X69] :
( ~ p1(X69)
| ! [X70] :
( p1(X70)
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
& ~ p1(X68)
& r1(X63,X68) )
| ~ sP0(X63) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,plain,
! [X50] :
( ! [X51] :
( ( p1(X51)
& ? [X52] :
( ~ p1(X52)
& r1(X51,X52) ) )
| ! [X53] :
( ~ p1(X53)
| ! [X54] :
( p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X51,X53) )
| ~ r1(X50,X51) )
| ~ sP1(X50) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f9,plain,
! [X50] :
( ? [X55] :
( ~ p1(X55)
& r1(X50,X55) )
| ~ sP2(X50) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f10,plain,
! [X33] :
( ! [X56] :
( ? [X57] :
( p1(X57)
& ? [X58] :
( ~ p1(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| ~ r1(X33,X56) )
| ~ sP3(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f11,plain,
! [X33] :
( ? [X45] :
( ! [X46] :
( ~ p1(X46)
| ! [X47] :
( p1(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
& ~ p1(X45)
& r1(X33,X45) )
| ~ sP4(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f12,plain,
! [X33] :
( ! [X37] :
( ! [X38] :
( ? [X39] :
( p1(X39)
& ? [X40] :
( ~ p1(X40)
& r1(X39,X40) )
& r1(X38,X39) )
| p1(X38)
| ~ r1(X37,X38) )
| ~ r1(X33,X37) )
| ~ sP5(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f13,plain,
! [X33] :
( ? [X50] :
( sP1(X50)
& p1(X50)
& sP2(X50)
& r1(X33,X50) )
| sP3(X33)
| ~ p1(X33)
| ! [X59] :
( p1(X59)
| ~ r1(X33,X59) )
| ~ sP6(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f14,plain,
! [X33] :
( ? [X34] :
( ! [X35] :
( ~ p1(X35)
| ! [X36] :
( p1(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p1(X34)
& r1(X33,X34) )
| sP5(X33)
| ~ sP7(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f15,plain,
! [X33] :
( sP4(X33)
| ! [X48] :
( ? [X49] :
( ~ p1(X49)
& r1(X48,X49) )
| ~ r1(X33,X48) )
| p1(X33)
| ~ sP8(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f16,plain,
! [X33] :
( ! [X41] :
( ? [X42] :
( ~ p1(X42)
& r1(X41,X42) )
| ! [X43] :
( ! [X44] :
( p1(X44)
| ~ r1(X43,X44) )
| ~ r1(X41,X43) )
| ~ r1(X33,X41) )
| ~ sP9(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f17,plain,
! [X12] :
( ? [X17] :
( ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
& ~ p1(X17)
& r1(X12,X17) )
| ~ sP10(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f18,plain,
! [X1] :
( ? [X6] :
( ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p1(X6)
& r1(X1,X6) )
| ~ sP11(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ? [X6] :
( ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p1(X6)
& r1(X1,X6) )
| ! [X9] :
( ? [X10] :
( ~ p1(X10)
& r1(X9,X10) )
| ~ r1(X1,X9) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ( ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ( ? [X17] :
( ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
& ~ p1(X17)
& r1(X12,X17) )
| ! [X20] :
( ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
| ~ r1(X12,X20) )
| p1(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ? [X22] :
( ? [X23] :
( ? [X24] :
( ! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
| p1(X25)
| ~ r1(X24,X25) )
& ? [X28] :
( ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
& r1(X24,X28) )
& ? [X30] :
( ~ p1(X30)
& r1(X24,X30) )
& r1(X23,X24) )
& r1(X22,X23) )
& r1(X0,X22) )
& ! [X31] :
( ! [X32] :
( ! [X33] :
( ( ( ? [X34] :
( ! [X35] :
( ~ p1(X35)
| ! [X36] :
( p1(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p1(X34)
& r1(X33,X34) )
| ! [X37] :
( ! [X38] :
( ? [X39] :
( p1(X39)
& ? [X40] :
( ~ p1(X40)
& r1(X39,X40) )
& r1(X38,X39) )
| p1(X38)
| ~ r1(X37,X38) )
| ~ r1(X33,X37) ) )
& ! [X41] :
( ? [X42] :
( ~ p1(X42)
& r1(X41,X42) )
| ! [X43] :
( ! [X44] :
( p1(X44)
| ~ r1(X43,X44) )
| ~ r1(X41,X43) )
| ~ r1(X33,X41) )
& ( ? [X45] :
( ! [X46] :
( ~ p1(X46)
| ! [X47] :
( p1(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
& ~ p1(X45)
& r1(X33,X45) )
| ! [X48] :
( ? [X49] :
( ~ p1(X49)
& r1(X48,X49) )
| ~ r1(X33,X48) )
| p1(X33) )
& ( ? [X50] :
( ! [X51] :
( ( p1(X51)
& ? [X52] :
( ~ p1(X52)
& r1(X51,X52) ) )
| ! [X53] :
( ~ p1(X53)
| ! [X54] :
( p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X51,X53) )
| ~ r1(X50,X51) )
& p1(X50)
& ? [X55] :
( ~ p1(X55)
& r1(X50,X55) )
& r1(X33,X50) )
| ! [X56] :
( ? [X57] :
( p1(X57)
& ? [X58] :
( ~ p1(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| ~ r1(X33,X56) )
| ~ p1(X33)
| ! [X59] :
( p1(X59)
| ~ r1(X33,X59) ) ) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X0,X31) )
& ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ( ! [X64] :
( ? [X65] :
( ~ p1(X65)
& r1(X64,X65) )
| ! [X66] :
( ! [X67] :
( p1(X67)
| ~ r1(X66,X67) )
| ~ r1(X64,X66) )
| ~ r1(X63,X64) )
& ( ? [X68] :
( ! [X69] :
( ~ p1(X69)
| ! [X70] :
( p1(X70)
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
& ~ p1(X68)
& r1(X63,X68) )
| ! [X71] :
( ? [X72] :
( ~ p1(X72)
& r1(X71,X72) )
| ~ r1(X63,X71) )
| p1(X63) ) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X0,X60) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
? [X0] :
( ! [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ? [X6] :
( ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p1(X6)
& r1(X1,X6) )
| ! [X9] :
( ? [X10] :
( ~ p1(X10)
& r1(X9,X10) )
| ~ r1(X1,X9) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ( ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ( ? [X17] :
( ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
& ~ p1(X17)
& r1(X12,X17) )
| ! [X20] :
( ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
| ~ r1(X12,X20) )
| p1(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ? [X22] :
( ? [X23] :
( ? [X24] :
( ! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
| p1(X25)
| ~ r1(X24,X25) )
& ? [X28] :
( ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
& r1(X24,X28) )
& ? [X30] :
( ~ p1(X30)
& r1(X24,X30) )
& r1(X23,X24) )
& r1(X22,X23) )
& r1(X0,X22) )
& ! [X31] :
( ! [X32] :
( ! [X33] :
( ( ( ? [X34] :
( ! [X35] :
( ~ p1(X35)
| ! [X36] :
( p1(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p1(X34)
& r1(X33,X34) )
| ! [X37] :
( ! [X38] :
( ? [X39] :
( p1(X39)
& ? [X40] :
( ~ p1(X40)
& r1(X39,X40) )
& r1(X38,X39) )
| p1(X38)
| ~ r1(X37,X38) )
| ~ r1(X33,X37) ) )
& ! [X41] :
( ? [X42] :
( ~ p1(X42)
& r1(X41,X42) )
| ! [X43] :
( ! [X44] :
( p1(X44)
| ~ r1(X43,X44) )
| ~ r1(X41,X43) )
| ~ r1(X33,X41) )
& ( ? [X45] :
( ! [X46] :
( ~ p1(X46)
| ! [X47] :
( p1(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
& ~ p1(X45)
& r1(X33,X45) )
| ! [X48] :
( ? [X49] :
( ~ p1(X49)
& r1(X48,X49) )
| ~ r1(X33,X48) )
| p1(X33) )
& ( ? [X50] :
( ! [X51] :
( ( p1(X51)
& ? [X52] :
( ~ p1(X52)
& r1(X51,X52) ) )
| ! [X53] :
( ~ p1(X53)
| ! [X54] :
( p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X51,X53) )
| ~ r1(X50,X51) )
& p1(X50)
& ? [X55] :
( ~ p1(X55)
& r1(X50,X55) )
& r1(X33,X50) )
| ! [X56] :
( ? [X57] :
( p1(X57)
& ? [X58] :
( ~ p1(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| ~ r1(X33,X56) )
| ~ p1(X33)
| ! [X59] :
( p1(X59)
| ~ r1(X33,X59) ) ) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X0,X31) )
& ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ( ! [X64] :
( ? [X65] :
( ~ p1(X65)
& r1(X64,X65) )
| ! [X66] :
( ! [X67] :
( p1(X67)
| ~ r1(X66,X67) )
| ~ r1(X64,X66) )
| ~ r1(X63,X64) )
& ( ? [X68] :
( ! [X69] :
( ~ p1(X69)
| ! [X70] :
( p1(X70)
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
& ~ p1(X68)
& r1(X63,X68) )
| ! [X71] :
( ? [X72] :
( ~ p1(X72)
& r1(X71,X72) )
| ~ r1(X63,X71) )
| p1(X63) ) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X0,X60) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ( ! [X1] :
( ( ! [X2] :
( ~ ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ~ ! [X6] :
( ~ ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| p1(X6)
| ~ r1(X1,X6) )
| ! [X9] :
( ~ ! [X10] :
( p1(X10)
| ~ r1(X9,X10) )
| ~ r1(X1,X9) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ( ! [X13] :
( ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ( ~ ! [X17] :
( ~ ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| p1(X17)
| ~ r1(X12,X17) )
| ! [X20] :
( ~ ! [X21] :
( p1(X21)
| ~ r1(X20,X21) )
| ~ r1(X12,X20) )
| p1(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ~ ! [X22] :
( ! [X23] :
( ! [X24] :
( ~ ! [X25] :
( ~ ! [X26] :
( ~ p1(X26)
| ! [X27] :
( p1(X27)
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| p1(X25)
| ~ r1(X24,X25) )
| ! [X28] :
( ~ ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X24,X28) )
| ! [X30] :
( p1(X30)
| ~ r1(X24,X30) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X0,X22) ) )
| ~ ! [X31] :
( ! [X32] :
( ! [X33] :
( ( ( ~ ! [X34] :
( ~ ! [X35] :
( ~ p1(X35)
| ! [X36] :
( p1(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| p1(X34)
| ~ r1(X33,X34) )
| ! [X37] :
( ! [X38] :
( ~ ! [X39] :
( ~ p1(X39)
| ! [X40] :
( p1(X40)
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| p1(X38)
| ~ r1(X37,X38) )
| ~ r1(X33,X37) ) )
& ! [X41] :
( ~ ! [X42] :
( p1(X42)
| ~ r1(X41,X42) )
| ! [X43] :
( ! [X44] :
( p1(X44)
| ~ r1(X43,X44) )
| ~ r1(X41,X43) )
| ~ r1(X33,X41) )
& ( ~ ! [X45] :
( ~ ! [X46] :
( ~ p1(X46)
| ! [X47] :
( p1(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| p1(X45)
| ~ r1(X33,X45) )
| ! [X48] :
( ~ ! [X49] :
( p1(X49)
| ~ r1(X48,X49) )
| ~ r1(X33,X48) )
| p1(X33) )
& ( ~ ! [X50] :
( ~ ! [X51] :
( ~ ( ~ p1(X51)
| ! [X52] :
( p1(X52)
| ~ r1(X51,X52) ) )
| ! [X53] :
( ~ p1(X53)
| ! [X54] :
( p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X51,X53) )
| ~ r1(X50,X51) )
| ~ p1(X50)
| ! [X55] :
( p1(X55)
| ~ r1(X50,X55) )
| ~ r1(X33,X50) )
| ! [X56] :
( ~ ! [X57] :
( ~ p1(X57)
| ! [X58] :
( p1(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X33,X56) )
| ~ p1(X33)
| ! [X59] :
( p1(X59)
| ~ r1(X33,X59) ) ) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X0,X31) )
| ~ ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ( ! [X64] :
( ~ ! [X65] :
( p1(X65)
| ~ r1(X64,X65) )
| ! [X66] :
( ! [X67] :
( p1(X67)
| ~ r1(X66,X67) )
| ~ r1(X64,X66) )
| ~ r1(X63,X64) )
& ( ~ ! [X68] :
( ~ ! [X69] :
( ~ p1(X69)
| ! [X70] :
( p1(X70)
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| p1(X68)
| ~ r1(X63,X68) )
| ! [X71] :
( ~ ! [X72] :
( p1(X72)
| ~ r1(X71,X72) )
| ~ r1(X63,X71) )
| p1(X63) ) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X0,X60) ) ),
inference(flattening,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ( ! [X2] :
( ~ ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ~ ! [X6] :
( ~ ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| p1(X6)
| ~ r1(X1,X6) )
| ! [X9] :
( ~ ! [X10] :
( p1(X10)
| ~ r1(X9,X10) )
| ~ r1(X1,X9) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ( ! [X13] :
( ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ( ~ ! [X17] :
( ~ ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| p1(X17)
| ~ r1(X12,X17) )
| ! [X20] :
( ~ ! [X21] :
( p1(X21)
| ~ r1(X20,X21) )
| ~ r1(X12,X20) )
| p1(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ~ ! [X22] :
( ! [X23] :
( ! [X24] :
( ~ ! [X25] :
( ~ ! [X26] :
( ~ p1(X26)
| ! [X27] :
( p1(X27)
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| p1(X25)
| ~ r1(X24,X25) )
| ! [X28] :
( ~ ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
| ~ r1(X24,X28) )
| ! [X30] :
( p1(X30)
| ~ r1(X24,X30) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X0,X22) ) )
| ~ ! [X31] :
( ! [X32] :
( ! [X33] :
( ( ( ~ ! [X34] :
( ~ ! [X35] :
( ~ p1(X35)
| ! [X36] :
( p1(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| p1(X34)
| ~ r1(X33,X34) )
| ! [X37] :
( ! [X38] :
( ~ ! [X39] :
( ~ p1(X39)
| ! [X40] :
( p1(X40)
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| p1(X38)
| ~ r1(X37,X38) )
| ~ r1(X33,X37) ) )
& ! [X41] :
( ~ ! [X42] :
( p1(X42)
| ~ r1(X41,X42) )
| ! [X43] :
( ! [X44] :
( p1(X44)
| ~ r1(X43,X44) )
| ~ r1(X41,X43) )
| ~ r1(X33,X41) )
& ( ~ ! [X45] :
( ~ ! [X46] :
( ~ p1(X46)
| ! [X47] :
( p1(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| p1(X45)
| ~ r1(X33,X45) )
| ! [X48] :
( ~ ! [X49] :
( p1(X49)
| ~ r1(X48,X49) )
| ~ r1(X33,X48) )
| p1(X33) )
& ( ~ ! [X50] :
( ~ ! [X51] :
( ~ ( ~ p1(X51)
| ! [X52] :
( p1(X52)
| ~ r1(X51,X52) ) )
| ! [X53] :
( ~ p1(X53)
| ! [X54] :
( p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X51,X53) )
| ~ r1(X50,X51) )
| ~ p1(X50)
| ! [X55] :
( p1(X55)
| ~ r1(X50,X55) )
| ~ r1(X33,X50) )
| ! [X56] :
( ~ ! [X57] :
( ~ p1(X57)
| ! [X58] :
( p1(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| ~ r1(X33,X56) )
| ~ p1(X33)
| ! [X59] :
( p1(X59)
| ~ r1(X33,X59) ) ) )
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X0,X31) )
| ~ ! [X60] :
( ! [X61] :
( ! [X62] :
( ! [X63] :
( ( ! [X64] :
( ~ ! [X65] :
( p1(X65)
| ~ r1(X64,X65) )
| ! [X66] :
( ! [X67] :
( p1(X67)
| ~ r1(X66,X67) )
| ~ r1(X64,X66) )
| ~ r1(X63,X64) )
& ( ~ ! [X68] :
( ~ ! [X69] :
( ~ p1(X69)
| ! [X70] :
( p1(X70)
| ~ r1(X69,X70) )
| ~ r1(X68,X69) )
| p1(X68)
| ~ r1(X63,X68) )
| ! [X71] :
( ~ ! [X72] :
( p1(X72)
| ~ r1(X71,X72) )
| ~ r1(X63,X71) )
| p1(X63) ) )
| ~ r1(X62,X63) )
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| ~ r1(X0,X60) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ 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] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ 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] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ 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] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ 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] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f244,plain,
! [X0] :
( ~ r1(sK32,X0)
| sP9(X0) ),
inference(resolution,[],[f183,f131]) ).
fof(f131,plain,
r1(sK31,sK32),
inference(cnf_transformation,[],[f85]) ).
fof(f183,plain,
! [X0,X1] :
( ~ r1(sK31,X0)
| ~ r1(X0,X1)
| sP9(X1) ),
inference(resolution,[],[f128,f130]) ).
fof(f130,plain,
r1(sK26,sK31),
inference(cnf_transformation,[],[f85]) ).
fof(f128,plain,
! [X26,X27,X25] :
( ~ r1(sK26,X25)
| ~ r1(X26,X27)
| ~ r1(X25,X26)
| sP9(X27) ),
inference(cnf_transformation,[],[f85]) ).
fof(f1925,plain,
( ~ sP9(sK33)
| ~ spl40_37
| ~ spl40_174 ),
inference(resolution,[],[f1194,f400]) ).
fof(f400,plain,
( r1(sK33,sK17(sK33))
| ~ spl40_37 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f398,plain,
( spl40_37
<=> r1(sK33,sK17(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_37])]) ).
fof(f1194,plain,
( ! [X2] :
( ~ r1(X2,sK17(sK33))
| ~ sP9(X2) )
| ~ spl40_174 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f1193,plain,
( spl40_174
<=> ! [X2] :
( ~ r1(X2,sK17(sK33))
| ~ sP9(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_174])]) ).
fof(f1919,plain,
( spl40_174
| spl40_156
| ~ spl40_166 ),
inference(avatar_split_clause,[],[f1918,f1155,f1098,f1193]) ).
fof(f1098,plain,
( spl40_156
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ r1(sK17(sK33),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_156])]) ).
fof(f1155,plain,
( spl40_166
<=> p1(sK14(sK17(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_166])]) ).
fof(f1918,plain,
( ! [X2,X0,X1] :
( p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK17(sK33),X1)
| ~ r1(X2,sK17(sK33))
| ~ sP9(X2) )
| ~ spl40_166 ),
inference(resolution,[],[f1157,f93]) ).
fof(f93,plain,
! [X3,X0,X1,X4] :
( ~ p1(sK14(X1))
| p1(X4)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( ( ~ p1(sK14(X1))
& r1(X1,sK14(X1)) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP9(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f29,f30]) ).
fof(f30,plain,
! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
=> ( ~ p1(sK14(X1))
& r1(X1,sK14(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP9(X0) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X33] :
( ! [X41] :
( ? [X42] :
( ~ p1(X42)
& r1(X41,X42) )
| ! [X43] :
( ! [X44] :
( p1(X44)
| ~ r1(X43,X44) )
| ~ r1(X41,X43) )
| ~ r1(X33,X41) )
| ~ sP9(X33) ),
inference(nnf_transformation,[],[f16]) ).
fof(f1157,plain,
( p1(sK14(sK17(sK33)))
| ~ spl40_166 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f1917,plain,
( spl40_169
| ~ spl40_20
| ~ spl40_156
| ~ spl40_163 ),
inference(avatar_split_clause,[],[f1916,f1143,f1098,f261,f1172]) ).
fof(f1172,plain,
( spl40_169
<=> ! [X0,X1] :
( ~ r1(sK23(sK17(sK33)),X0)
| p1(X1)
| ~ r1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_169])]) ).
fof(f261,plain,
( spl40_20
<=> sP2(sK17(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_20])]) ).
fof(f1143,plain,
( spl40_163
<=> ! [X0,X1] :
( p1(X0)
| ~ p1(X1)
| ~ r1(sK23(sK17(sK33)),X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_163])]) ).
fof(f1916,plain,
( ! [X0,X1] :
( p1(X0)
| ~ r1(sK23(sK17(sK33)),X1)
| ~ r1(X1,X0) )
| ~ spl40_20
| ~ spl40_156
| ~ spl40_163 ),
inference(subsumption_resolution,[],[f1144,f1896]) ).
fof(f1896,plain,
( ! [X0] :
( ~ r1(sK23(sK17(sK33)),X0)
| p1(X0) )
| ~ spl40_20
| ~ spl40_156 ),
inference(resolution,[],[f1099,f1082]) ).
fof(f1082,plain,
( r1(sK17(sK33),sK23(sK17(sK33)))
| ~ spl40_20 ),
inference(resolution,[],[f263,f114]) ).
fof(f114,plain,
! [X0] :
( ~ sP2(X0)
| r1(X0,sK23(X0)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( ~ p1(sK23(X0))
& r1(X0,sK23(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f59,f60]) ).
fof(f60,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
=> ( ~ p1(sK23(X0))
& r1(X0,sK23(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& r1(X0,X1) )
| ~ sP2(X0) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X50] :
( ? [X55] :
( ~ p1(X55)
& r1(X50,X55) )
| ~ sP2(X50) ),
inference(nnf_transformation,[],[f9]) ).
fof(f263,plain,
( sP2(sK17(sK33))
| ~ spl40_20 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f1099,plain,
( ! [X0,X1] :
( ~ r1(sK17(sK33),X0)
| p1(X1)
| ~ r1(X0,X1) )
| ~ spl40_156 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1144,plain,
( ! [X0,X1] :
( p1(X0)
| ~ p1(X1)
| ~ r1(sK23(sK17(sK33)),X1)
| ~ r1(X1,X0) )
| ~ spl40_163 ),
inference(avatar_component_clause,[],[f1143]) ).
fof(f1895,plain,
( ~ spl40_26
| ~ spl40_37
| ~ spl40_155
| spl40_166
| ~ spl40_222 ),
inference(avatar_contradiction_clause,[],[f1894]) ).
fof(f1894,plain,
( $false
| ~ spl40_26
| ~ spl40_37
| ~ spl40_155
| spl40_166
| ~ spl40_222 ),
inference(subsumption_resolution,[],[f1893,f305]) ).
fof(f305,plain,
( sP5(sK33)
| ~ spl40_26 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f303,plain,
( spl40_26
<=> sP5(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_26])]) ).
fof(f1893,plain,
( ~ sP5(sK33)
| ~ spl40_37
| ~ spl40_155
| spl40_166
| ~ spl40_222 ),
inference(resolution,[],[f1890,f400]) ).
fof(f1890,plain,
( ! [X0] :
( ~ r1(X0,sK17(sK33))
| ~ sP5(X0) )
| ~ spl40_155
| spl40_166
| ~ spl40_222 ),
inference(resolution,[],[f1511,f1096]) ).
fof(f1096,plain,
( r1(sK17(sK33),sK14(sK17(sK33)))
| ~ spl40_155 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1094,plain,
( spl40_155
<=> r1(sK17(sK33),sK14(sK17(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_155])]) ).
fof(f1511,plain,
( ! [X0,X1] :
( ~ r1(X0,sK14(sK17(sK33)))
| ~ r1(X1,X0)
| ~ sP5(X1) )
| spl40_166
| ~ spl40_222 ),
inference(subsumption_resolution,[],[f1510,f1156]) ).
fof(f1156,plain,
( ~ p1(sK14(sK17(sK33)))
| spl40_166 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f1510,plain,
( ! [X0,X1] :
( p1(sK14(sK17(sK33)))
| ~ r1(X0,sK14(sK17(sK33)))
| ~ r1(X1,X0)
| ~ sP5(X1) )
| ~ spl40_222 ),
inference(resolution,[],[f1501,f105]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ p1(sK19(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p1(sK18(X2))
& ~ p1(sK19(X2))
& r1(sK18(X2),sK19(X2))
& r1(X2,sK18(X2)) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19])],[f45,f47,f46]) ).
fof(f46,plain,
! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p1(sK18(X2))
& ? [X4] :
( ~ p1(X4)
& r1(sK18(X2),X4) )
& r1(X2,sK18(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X2] :
( ? [X4] :
( ~ p1(X4)
& r1(sK18(X2),X4) )
=> ( ~ p1(sK19(X2))
& r1(sK18(X2),sK19(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP5(X0) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X33] :
( ! [X37] :
( ! [X38] :
( ? [X39] :
( p1(X39)
& ? [X40] :
( ~ p1(X40)
& r1(X39,X40) )
& r1(X38,X39) )
| p1(X38)
| ~ r1(X37,X38) )
| ~ r1(X33,X37) )
| ~ sP5(X33) ),
inference(nnf_transformation,[],[f12]) ).
fof(f1501,plain,
( p1(sK19(sK14(sK17(sK33))))
| ~ spl40_222 ),
inference(avatar_component_clause,[],[f1499]) ).
fof(f1499,plain,
( spl40_222
<=> p1(sK19(sK14(sK17(sK33)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_222])]) ).
fof(f1815,plain,
( ~ spl40_28
| spl40_261
| ~ spl40_266 ),
inference(avatar_contradiction_clause,[],[f1814]) ).
fof(f1814,plain,
( $false
| ~ spl40_28
| spl40_261
| ~ spl40_266 ),
inference(subsumption_resolution,[],[f1813,f313]) ).
fof(f313,plain,
( r1(sK33,sK16(sK33))
| ~ spl40_28 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f311,plain,
( spl40_28
<=> r1(sK33,sK16(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_28])]) ).
fof(f1813,plain,
( ~ r1(sK33,sK16(sK33))
| ~ spl40_28
| spl40_261
| ~ spl40_266 ),
inference(subsumption_resolution,[],[f1812,f1740]) ).
fof(f1740,plain,
( ~ p1(sK16(sK33))
| spl40_261 ),
inference(avatar_component_clause,[],[f1739]) ).
fof(f1739,plain,
( spl40_261
<=> p1(sK16(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_261])]) ).
fof(f1812,plain,
( p1(sK16(sK33))
| ~ r1(sK33,sK16(sK33))
| ~ spl40_28
| spl40_261
| ~ spl40_266 ),
inference(resolution,[],[f1811,f139]) ).
fof(f139,plain,
! [X19] :
( ~ p1(sK35(X19))
| p1(X19)
| ~ r1(sK33,X19) ),
inference(cnf_transformation,[],[f85]) ).
fof(f1811,plain,
( p1(sK35(sK16(sK33)))
| ~ spl40_28
| spl40_261
| ~ spl40_266 ),
inference(subsumption_resolution,[],[f1810,f313]) ).
fof(f1810,plain,
( p1(sK35(sK16(sK33)))
| ~ r1(sK33,sK16(sK33))
| spl40_261
| ~ spl40_266 ),
inference(subsumption_resolution,[],[f1808,f1740]) ).
fof(f1808,plain,
( p1(sK35(sK16(sK33)))
| p1(sK16(sK33))
| ~ r1(sK33,sK16(sK33))
| ~ spl40_266 ),
inference(resolution,[],[f1763,f138]) ).
fof(f138,plain,
! [X19] :
( r1(sK34(X19),sK35(X19))
| p1(X19)
| ~ r1(sK33,X19) ),
inference(cnf_transformation,[],[f85]) ).
fof(f1763,plain,
( ! [X0] :
( ~ r1(sK34(sK16(sK33)),X0)
| p1(X0) )
| ~ spl40_266 ),
inference(avatar_component_clause,[],[f1762]) ).
fof(f1762,plain,
( spl40_266
<=> ! [X0] :
( p1(X0)
| ~ r1(sK34(sK16(sK33)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_266])]) ).
fof(f1799,plain,
( ~ spl40_20
| ~ spl40_162 ),
inference(avatar_contradiction_clause,[],[f1798]) ).
fof(f1798,plain,
( $false
| ~ spl40_20
| ~ spl40_162 ),
inference(subsumption_resolution,[],[f1797,f263]) ).
fof(f1797,plain,
( ~ sP2(sK17(sK33))
| ~ spl40_162 ),
inference(resolution,[],[f1141,f115]) ).
fof(f115,plain,
! [X0] :
( ~ p1(sK23(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f1141,plain,
( p1(sK23(sK17(sK33)))
| ~ spl40_162 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f1139,plain,
( spl40_162
<=> p1(sK23(sK17(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_162])]) ).
fof(f1795,plain,
( ~ spl40_20
| ~ spl40_26
| ~ spl40_37
| ~ spl40_220 ),
inference(avatar_contradiction_clause,[],[f1794]) ).
fof(f1794,plain,
( $false
| ~ spl40_20
| ~ spl40_26
| ~ spl40_37
| ~ spl40_220 ),
inference(subsumption_resolution,[],[f1793,f305]) ).
fof(f1793,plain,
( ~ sP5(sK33)
| ~ spl40_20
| ~ spl40_37
| ~ spl40_220 ),
inference(resolution,[],[f1724,f400]) ).
fof(f1724,plain,
( ! [X0] :
( ~ r1(X0,sK17(sK33))
| ~ sP5(X0) )
| ~ spl40_20
| ~ spl40_220 ),
inference(resolution,[],[f1485,f1082]) ).
fof(f1485,plain,
( ! [X0,X1] :
( ~ r1(X0,sK23(sK17(sK33)))
| ~ sP5(X1)
| ~ r1(X1,X0) )
| ~ spl40_220 ),
inference(avatar_component_clause,[],[f1484]) ).
fof(f1484,plain,
( spl40_220
<=> ! [X0,X1] :
( ~ r1(X0,sK23(sK17(sK33)))
| ~ sP5(X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_220])]) ).
fof(f1770,plain,
( spl40_26
| ~ spl40_261 ),
inference(avatar_split_clause,[],[f1769,f1739,f303]) ).
fof(f1769,plain,
( sP5(sK33)
| ~ spl40_261 ),
inference(subsumption_resolution,[],[f1765,f298]) ).
fof(f298,plain,
sP7(sK33),
inference(resolution,[],[f296,f132]) ).
fof(f296,plain,
! [X0] :
( ~ r1(sK32,X0)
| sP7(X0) ),
inference(resolution,[],[f199,f131]) ).
fof(f199,plain,
! [X0,X1] :
( ~ r1(sK31,X0)
| ~ r1(X0,X1)
| sP7(X1) ),
inference(resolution,[],[f129,f130]) ).
fof(f129,plain,
! [X26,X27,X25] :
( ~ r1(sK26,X25)
| ~ r1(X26,X27)
| ~ r1(X25,X26)
| sP7(X27) ),
inference(cnf_transformation,[],[f85]) ).
fof(f1765,plain,
( sP5(sK33)
| ~ sP7(sK33)
| ~ spl40_261 ),
inference(resolution,[],[f1741,f97]) ).
fof(f97,plain,
! [X0] :
( ~ p1(sK16(X0))
| sP5(X0)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK16(X0),X2) )
& ~ p1(sK16(X0))
& r1(X0,sK16(X0)) )
| sP5(X0)
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f37,f38]) ).
fof(f38,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK16(X0),X2) )
& ~ p1(sK16(X0))
& r1(X0,sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
| sP5(X0)
| ~ sP7(X0) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X33] :
( ? [X34] :
( ! [X35] :
( ~ p1(X35)
| ! [X36] :
( p1(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p1(X34)
& r1(X33,X34) )
| sP5(X33)
| ~ sP7(X33) ),
inference(nnf_transformation,[],[f14]) ).
fof(f1741,plain,
( p1(sK16(sK33))
| ~ spl40_261 ),
inference(avatar_component_clause,[],[f1739]) ).
fof(f1764,plain,
( spl40_261
| spl40_266
| ~ spl40_260
| ~ spl40_27
| ~ spl40_28 ),
inference(avatar_split_clause,[],[f1760,f311,f307,f1735,f1762,f1739]) ).
fof(f1735,plain,
( spl40_260
<=> p1(sK34(sK16(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_260])]) ).
fof(f307,plain,
( spl40_27
<=> ! [X0,X1] :
( p1(X0)
| ~ p1(X1)
| ~ r1(sK16(sK33),X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_27])]) ).
fof(f1760,plain,
( ! [X0] :
( ~ p1(sK34(sK16(sK33)))
| p1(X0)
| ~ r1(sK34(sK16(sK33)),X0)
| p1(sK16(sK33)) )
| ~ spl40_27
| ~ spl40_28 ),
inference(subsumption_resolution,[],[f1759,f313]) ).
fof(f1759,plain,
( ! [X0] :
( ~ p1(sK34(sK16(sK33)))
| p1(X0)
| ~ r1(sK34(sK16(sK33)),X0)
| p1(sK16(sK33))
| ~ r1(sK33,sK16(sK33)) )
| ~ spl40_27 ),
inference(resolution,[],[f308,f137]) ).
fof(f137,plain,
! [X19] :
( r1(X19,sK34(X19))
| p1(X19)
| ~ r1(sK33,X19) ),
inference(cnf_transformation,[],[f85]) ).
fof(f308,plain,
( ! [X0,X1] :
( ~ r1(sK16(sK33),X1)
| ~ p1(X1)
| p1(X0)
| ~ r1(X1,X0) )
| ~ spl40_27 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f1742,plain,
( spl40_260
| spl40_261
| ~ spl40_28 ),
inference(avatar_split_clause,[],[f1729,f311,f1739,f1735]) ).
fof(f1729,plain,
( p1(sK16(sK33))
| p1(sK34(sK16(sK33)))
| ~ spl40_28 ),
inference(resolution,[],[f313,f140]) ).
fof(f140,plain,
! [X19] :
( ~ r1(sK33,X19)
| p1(X19)
| p1(sK34(X19)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f1509,plain,
( spl40_222
| ~ spl40_26
| ~ spl40_37
| ~ spl40_155
| spl40_166
| ~ spl40_167 ),
inference(avatar_split_clause,[],[f1492,f1159,f1155,f1094,f398,f303,f1499]) ).
fof(f1159,plain,
( spl40_167
<=> ! [X0,X1] :
( p1(X0)
| ~ p1(X1)
| ~ r1(sK14(sK17(sK33)),X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_167])]) ).
fof(f1492,plain,
( p1(sK19(sK14(sK17(sK33))))
| ~ spl40_26
| ~ spl40_37
| ~ spl40_155
| spl40_166
| ~ spl40_167 ),
inference(subsumption_resolution,[],[f1491,f1096]) ).
fof(f1491,plain,
( p1(sK19(sK14(sK17(sK33))))
| ~ r1(sK17(sK33),sK14(sK17(sK33)))
| ~ spl40_26
| ~ spl40_37
| ~ spl40_155
| spl40_166
| ~ spl40_167 ),
inference(subsumption_resolution,[],[f1487,f1156]) ).
fof(f1487,plain,
( p1(sK19(sK14(sK17(sK33))))
| p1(sK14(sK17(sK33)))
| ~ r1(sK17(sK33),sK14(sK17(sK33)))
| ~ spl40_26
| ~ spl40_37
| ~ spl40_155
| spl40_166
| ~ spl40_167 ),
inference(resolution,[],[f1462,f1087]) ).
fof(f1087,plain,
( ! [X0] :
( r1(sK18(X0),sK19(X0))
| p1(X0)
| ~ r1(sK17(sK33),X0) )
| ~ spl40_26
| ~ spl40_37 ),
inference(resolution,[],[f400,f315]) ).
fof(f315,plain,
( ! [X0,X1] :
( ~ r1(sK33,X1)
| ~ r1(X1,X0)
| p1(X0)
| r1(sK18(X0),sK19(X0)) )
| ~ spl40_26 ),
inference(resolution,[],[f305,f104]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ sP5(X0)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(sK18(X2),sK19(X2)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f1462,plain,
( ! [X0] :
( ~ r1(sK18(sK14(sK17(sK33))),X0)
| p1(X0) )
| ~ spl40_26
| ~ spl40_37
| ~ spl40_155
| spl40_166
| ~ spl40_167 ),
inference(subsumption_resolution,[],[f1452,f1303]) ).
fof(f1303,plain,
( p1(sK18(sK14(sK17(sK33))))
| ~ spl40_26
| ~ spl40_37
| ~ spl40_155
| spl40_166 ),
inference(subsumption_resolution,[],[f1296,f1156]) ).
fof(f1296,plain,
( p1(sK14(sK17(sK33)))
| p1(sK18(sK14(sK17(sK33))))
| ~ spl40_26
| ~ spl40_37
| ~ spl40_155 ),
inference(resolution,[],[f1089,f1096]) ).
fof(f1089,plain,
( ! [X0] :
( ~ r1(sK17(sK33),X0)
| p1(X0)
| p1(sK18(X0)) )
| ~ spl40_26
| ~ spl40_37 ),
inference(resolution,[],[f400,f317]) ).
fof(f317,plain,
( ! [X0,X1] :
( ~ r1(sK33,X1)
| ~ r1(X1,X0)
| p1(X0)
| p1(sK18(X0)) )
| ~ spl40_26 ),
inference(resolution,[],[f305,f106]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ sP5(X0)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p1(sK18(X2)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f1452,plain,
( ! [X0] :
( ~ p1(sK18(sK14(sK17(sK33))))
| p1(X0)
| ~ r1(sK18(sK14(sK17(sK33))),X0) )
| ~ spl40_26
| ~ spl40_37
| ~ spl40_155
| spl40_166
| ~ spl40_167 ),
inference(resolution,[],[f1160,f1350]) ).
fof(f1350,plain,
( r1(sK14(sK17(sK33)),sK18(sK14(sK17(sK33))))
| ~ spl40_26
| ~ spl40_37
| ~ spl40_155
| spl40_166 ),
inference(subsumption_resolution,[],[f1343,f1156]) ).
fof(f1343,plain,
( p1(sK14(sK17(sK33)))
| r1(sK14(sK17(sK33)),sK18(sK14(sK17(sK33))))
| ~ spl40_26
| ~ spl40_37
| ~ spl40_155 ),
inference(resolution,[],[f1088,f1096]) ).
fof(f1088,plain,
( ! [X0] :
( ~ r1(sK17(sK33),X0)
| p1(X0)
| r1(X0,sK18(X0)) )
| ~ spl40_26
| ~ spl40_37 ),
inference(resolution,[],[f400,f316]) ).
fof(f316,plain,
( ! [X0,X1] :
( ~ r1(sK33,X1)
| ~ r1(X1,X0)
| p1(X0)
| r1(X0,sK18(X0)) )
| ~ spl40_26 ),
inference(resolution,[],[f305,f103]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ sP5(X0)
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X2,sK18(X2)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f1160,plain,
( ! [X0,X1] :
( ~ r1(sK14(sK17(sK33)),X1)
| ~ p1(X1)
| p1(X0)
| ~ r1(X1,X0) )
| ~ spl40_167 ),
inference(avatar_component_clause,[],[f1159]) ).
fof(f1486,plain,
( spl40_220
| spl40_162
| ~ spl40_212 ),
inference(avatar_split_clause,[],[f1482,f1437,f1139,f1484]) ).
fof(f1437,plain,
( spl40_212
<=> p1(sK19(sK23(sK17(sK33)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_212])]) ).
fof(f1482,plain,
( ! [X0,X1] :
( p1(sK23(sK17(sK33)))
| ~ r1(X0,sK23(sK17(sK33)))
| ~ r1(X1,X0)
| ~ sP5(X1) )
| ~ spl40_212 ),
inference(resolution,[],[f1439,f105]) ).
fof(f1439,plain,
( p1(sK19(sK23(sK17(sK33))))
| ~ spl40_212 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f1440,plain,
( spl40_162
| spl40_212
| ~ spl40_20
| ~ spl40_26
| ~ spl40_37
| ~ spl40_169
| ~ spl40_199 ),
inference(avatar_split_clause,[],[f1435,f1346,f1172,f398,f303,f261,f1437,f1139]) ).
fof(f1346,plain,
( spl40_199
<=> r1(sK23(sK17(sK33)),sK18(sK23(sK17(sK33)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_199])]) ).
fof(f1435,plain,
( p1(sK19(sK23(sK17(sK33))))
| p1(sK23(sK17(sK33)))
| ~ spl40_20
| ~ spl40_26
| ~ spl40_37
| ~ spl40_169
| ~ spl40_199 ),
inference(subsumption_resolution,[],[f1431,f1082]) ).
fof(f1431,plain,
( p1(sK19(sK23(sK17(sK33))))
| p1(sK23(sK17(sK33)))
| ~ r1(sK17(sK33),sK23(sK17(sK33)))
| ~ spl40_26
| ~ spl40_37
| ~ spl40_169
| ~ spl40_199 ),
inference(resolution,[],[f1379,f1087]) ).
fof(f1379,plain,
( ! [X0] :
( ~ r1(sK18(sK23(sK17(sK33))),X0)
| p1(X0) )
| ~ spl40_169
| ~ spl40_199 ),
inference(resolution,[],[f1348,f1173]) ).
fof(f1173,plain,
( ! [X0,X1] :
( ~ r1(sK23(sK17(sK33)),X0)
| p1(X1)
| ~ r1(X0,X1) )
| ~ spl40_169 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1348,plain,
( r1(sK23(sK17(sK33)),sK18(sK23(sK17(sK33))))
| ~ spl40_199 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f1349,plain,
( spl40_199
| spl40_162
| ~ spl40_20
| ~ spl40_26
| ~ spl40_37 ),
inference(avatar_split_clause,[],[f1341,f398,f303,f261,f1139,f1346]) ).
fof(f1341,plain,
( p1(sK23(sK17(sK33)))
| r1(sK23(sK17(sK33)),sK18(sK23(sK17(sK33))))
| ~ spl40_20
| ~ spl40_26
| ~ spl40_37 ),
inference(resolution,[],[f1088,f1082]) ).
fof(f1161,plain,
( spl40_166
| spl40_167
| ~ spl40_38
| ~ spl40_155 ),
inference(avatar_split_clause,[],[f1136,f1094,f403,f1159,f1155]) ).
fof(f403,plain,
( spl40_38
<=> sP1(sK17(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_38])]) ).
fof(f1136,plain,
( ! [X0,X1] :
( p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK14(sK17(sK33)),X1)
| ~ p1(X1)
| p1(sK14(sK17(sK33))) )
| ~ spl40_38
| ~ spl40_155 ),
inference(resolution,[],[f1084,f1096]) ).
fof(f1084,plain,
( ! [X2,X0,X1] :
( ~ r1(sK17(sK33),X2)
| p1(X1)
| ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p1(X0)
| p1(X2) )
| ~ spl40_38 ),
inference(resolution,[],[f405,f118]) ).
fof(f118,plain,
! [X3,X0,X1,X4] :
( ~ sP1(X0)
| ~ p1(X3)
| p1(X4)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| p1(X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ( p1(X1)
& ~ p1(sK24(X1))
& r1(X1,sK24(X1)) )
| ! [X3] :
( ~ p1(X3)
| ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f63,f64]) ).
fof(f64,plain,
! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
=> ( ~ p1(sK24(X1))
& r1(X1,sK24(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ( p1(X1)
& ? [X2] :
( ~ p1(X2)
& r1(X1,X2) ) )
| ! [X3] :
( ~ p1(X3)
| ! [X4] :
( p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X50] :
( ! [X51] :
( ( p1(X51)
& ? [X52] :
( ~ p1(X52)
& r1(X51,X52) ) )
| ! [X53] :
( ~ p1(X53)
| ! [X54] :
( p1(X54)
| ~ r1(X53,X54) )
| ~ r1(X51,X53) )
| ~ r1(X50,X51) )
| ~ sP1(X50) ),
inference(nnf_transformation,[],[f8]) ).
fof(f405,plain,
( sP1(sK17(sK33))
| ~ spl40_38 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f1145,plain,
( spl40_162
| spl40_163
| ~ spl40_20
| ~ spl40_38 ),
inference(avatar_split_clause,[],[f1134,f403,f261,f1143,f1139]) ).
fof(f1134,plain,
( ! [X0,X1] :
( p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK23(sK17(sK33)),X1)
| ~ p1(X1)
| p1(sK23(sK17(sK33))) )
| ~ spl40_20
| ~ spl40_38 ),
inference(resolution,[],[f1084,f1082]) ).
fof(f1100,plain,
( spl40_155
| spl40_156
| ~ spl40_37 ),
inference(avatar_split_clause,[],[f1090,f398,f1098,f1094]) ).
fof(f1090,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK17(sK33),X0)
| p1(X1)
| r1(sK17(sK33),sK14(sK17(sK33))) )
| ~ spl40_37 ),
inference(resolution,[],[f400,f331]) ).
fof(f331,plain,
! [X2,X0,X1] :
( ~ r1(sK33,X2)
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| p1(X0)
| r1(X2,sK14(X2)) ),
inference(resolution,[],[f92,f246]) ).
fof(f92,plain,
! [X3,X0,X1,X4] :
( ~ sP9(X0)
| p1(X4)
| ~ r1(X3,X4)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| r1(X1,sK14(X1)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f1081,plain,
~ spl40_110,
inference(avatar_contradiction_clause,[],[f1080]) ).
fof(f1080,plain,
( $false
| ~ spl40_110 ),
inference(subsumption_resolution,[],[f1079,f246]) ).
fof(f1079,plain,
( ~ sP9(sK33)
| ~ spl40_110 ),
inference(resolution,[],[f826,f135]) ).
fof(f135,plain,
r1(sK33,sK36),
inference(cnf_transformation,[],[f85]) ).
fof(f826,plain,
( ! [X2] :
( ~ r1(X2,sK36)
| ~ sP9(X2) )
| ~ spl40_110 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f825,plain,
( spl40_110
<=> ! [X2] :
( ~ r1(X2,sK36)
| ~ sP9(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_110])]) ).
fof(f1068,plain,
( ~ spl40_22
| ~ spl40_95 ),
inference(avatar_contradiction_clause,[],[f1067]) ).
fof(f1067,plain,
( $false
| ~ spl40_22
| ~ spl40_95 ),
inference(subsumption_resolution,[],[f1066,f135]) ).
fof(f1066,plain,
( ~ r1(sK33,sK36)
| ~ spl40_22
| ~ spl40_95 ),
inference(resolution,[],[f1051,f270]) ).
fof(f270,plain,
( sP3(sK33)
| ~ spl40_22 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl40_22
<=> sP3(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_22])]) ).
fof(f1051,plain,
( ! [X0] :
( ~ sP3(X0)
| ~ r1(X0,sK36) )
| ~ spl40_22
| ~ spl40_95 ),
inference(resolution,[],[f1050,f112]) ).
fof(f112,plain,
! [X0,X1] :
( ~ p1(sK22(X1))
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ( p1(sK21(X1))
& ~ p1(sK22(X1))
& r1(sK21(X1),sK22(X1))
& r1(X1,sK21(X1)) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f54,f56,f55]) ).
fof(f55,plain,
! [X1] :
( ? [X2] :
( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p1(sK21(X1))
& ? [X3] :
( ~ p1(X3)
& r1(sK21(X1),X3) )
& r1(X1,sK21(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X1] :
( ? [X3] :
( ~ p1(X3)
& r1(sK21(X1),X3) )
=> ( ~ p1(sK22(X1))
& r1(sK21(X1),sK22(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X33] :
( ! [X56] :
( ? [X57] :
( p1(X57)
& ? [X58] :
( ~ p1(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| ~ r1(X33,X56) )
| ~ sP3(X33) ),
inference(nnf_transformation,[],[f10]) ).
fof(f1050,plain,
( p1(sK22(sK36))
| ~ spl40_22
| ~ spl40_95 ),
inference(subsumption_resolution,[],[f1047,f135]) ).
fof(f1047,plain,
( p1(sK22(sK36))
| ~ r1(sK33,sK36)
| ~ spl40_22
| ~ spl40_95 ),
inference(resolution,[],[f949,f708]) ).
fof(f708,plain,
( ! [X0] :
( r1(sK21(X0),sK22(X0))
| ~ r1(sK33,X0) )
| ~ spl40_22 ),
inference(resolution,[],[f270,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ sP3(X0)
| ~ r1(X0,X1)
| r1(sK21(X1),sK22(X1)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f949,plain,
( ! [X0] :
( ~ r1(sK21(sK36),X0)
| p1(X0) )
| ~ spl40_22
| ~ spl40_95 ),
inference(resolution,[],[f748,f914]) ).
fof(f914,plain,
( r1(sK36,sK21(sK36))
| ~ spl40_22 ),
inference(resolution,[],[f709,f135]) ).
fof(f709,plain,
( ! [X0] :
( ~ r1(sK33,X0)
| r1(X0,sK21(X0)) )
| ~ spl40_22 ),
inference(resolution,[],[f270,f110]) ).
fof(f110,plain,
! [X0,X1] :
( ~ sP3(X0)
| ~ r1(X0,X1)
| r1(X1,sK21(X1)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f748,plain,
( ! [X0,X1] :
( ~ r1(sK36,X0)
| p1(X1)
| ~ r1(X0,X1) )
| ~ spl40_95 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f747,plain,
( spl40_95
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ r1(sK36,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_95])]) ).
fof(f827,plain,
( spl40_110
| spl40_95
| ~ spl40_94 ),
inference(avatar_split_clause,[],[f823,f743,f747,f825]) ).
fof(f743,plain,
( spl40_94
<=> r1(sK36,sK14(sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_94])]) ).
fof(f823,plain,
( ! [X2,X0,X1] :
( p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK36,X1)
| ~ r1(X2,sK36)
| ~ sP9(X2) )
| ~ spl40_94 ),
inference(resolution,[],[f779,f93]) ).
fof(f779,plain,
( p1(sK14(sK36))
| ~ spl40_94 ),
inference(resolution,[],[f745,f136]) ).
fof(f136,plain,
! [X23] :
( ~ r1(sK36,X23)
| p1(X23) ),
inference(cnf_transformation,[],[f85]) ).
fof(f745,plain,
( r1(sK36,sK14(sK36))
| ~ spl40_94 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f749,plain,
( spl40_94
| spl40_95 ),
inference(avatar_split_clause,[],[f731,f747,f743]) ).
fof(f731,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK36,X0)
| p1(X1)
| r1(sK36,sK14(sK36)) ),
inference(resolution,[],[f331,f135]) ).
fof(f706,plain,
~ spl40_21,
inference(avatar_contradiction_clause,[],[f705]) ).
fof(f705,plain,
( $false
| ~ spl40_21 ),
inference(subsumption_resolution,[],[f701,f134]) ).
fof(f134,plain,
~ p1(sK37),
inference(cnf_transformation,[],[f85]) ).
fof(f701,plain,
( p1(sK37)
| ~ spl40_21 ),
inference(resolution,[],[f266,f133]) ).
fof(f133,plain,
r1(sK33,sK37),
inference(cnf_transformation,[],[f85]) ).
fof(f266,plain,
( ! [X0] :
( ~ r1(sK33,X0)
| p1(X0) )
| ~ spl40_21 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f265,plain,
( spl40_21
<=> ! [X0] :
( p1(X0)
| ~ r1(sK33,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_21])]) ).
fof(f406,plain,
( spl40_38
| spl40_21
| ~ spl40_14
| spl40_22 ),
inference(avatar_split_clause,[],[f292,f268,f226,f265,f403]) ).
fof(f226,plain,
( spl40_14
<=> p1(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_14])]) ).
fof(f292,plain,
! [X0] :
( sP3(sK33)
| ~ p1(sK33)
| p1(X0)
| ~ r1(sK33,X0)
| sP1(sK17(sK33)) ),
inference(resolution,[],[f102,f201]) ).
fof(f201,plain,
sP6(sK33),
inference(resolution,[],[f185,f132]) ).
fof(f185,plain,
! [X0] :
( ~ r1(sK32,X0)
| sP6(X0) ),
inference(resolution,[],[f163,f131]) ).
fof(f163,plain,
! [X0,X1] :
( ~ r1(sK31,X0)
| ~ r1(X0,X1)
| sP6(X1) ),
inference(resolution,[],[f126,f130]) ).
fof(f126,plain,
! [X26,X27,X25] :
( ~ r1(sK26,X25)
| ~ r1(X26,X27)
| ~ r1(X25,X26)
| sP6(X27) ),
inference(cnf_transformation,[],[f85]) ).
fof(f102,plain,
! [X2,X0] :
( ~ sP6(X0)
| sP3(X0)
| ~ p1(X0)
| p1(X2)
| ~ r1(X0,X2)
| sP1(sK17(X0)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ( sP1(sK17(X0))
& p1(sK17(X0))
& sP2(sK17(X0))
& r1(X0,sK17(X0)) )
| sP3(X0)
| ~ p1(X0)
| ! [X2] :
( p1(X2)
| ~ r1(X0,X2) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f41,f42]) ).
fof(f42,plain,
! [X0] :
( ? [X1] :
( sP1(X1)
& p1(X1)
& sP2(X1)
& r1(X0,X1) )
=> ( sP1(sK17(X0))
& p1(sK17(X0))
& sP2(sK17(X0))
& r1(X0,sK17(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0] :
( ? [X1] :
( sP1(X1)
& p1(X1)
& sP2(X1)
& r1(X0,X1) )
| sP3(X0)
| ~ p1(X0)
| ! [X2] :
( p1(X2)
| ~ r1(X0,X2) )
| ~ sP6(X0) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X33] :
( ? [X50] :
( sP1(X50)
& p1(X50)
& sP2(X50)
& r1(X33,X50) )
| sP3(X33)
| ~ p1(X33)
| ! [X59] :
( p1(X59)
| ~ r1(X33,X59) )
| ~ sP6(X33) ),
inference(nnf_transformation,[],[f13]) ).
fof(f401,plain,
( spl40_37
| spl40_21
| ~ spl40_14
| spl40_22 ),
inference(avatar_split_clause,[],[f294,f268,f226,f265,f398]) ).
fof(f294,plain,
! [X0] :
( sP3(sK33)
| ~ p1(sK33)
| p1(X0)
| ~ r1(sK33,X0)
| r1(sK33,sK17(sK33)) ),
inference(resolution,[],[f99,f201]) ).
fof(f99,plain,
! [X2,X0] :
( ~ sP6(X0)
| sP3(X0)
| ~ p1(X0)
| p1(X2)
| ~ r1(X0,X2)
| r1(X0,sK17(X0)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f396,plain,
( spl40_13
| spl40_14
| ~ spl40_15 ),
inference(avatar_split_clause,[],[f321,f230,f226,f222]) ).
fof(f222,plain,
( spl40_13
<=> sP4(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_13])]) ).
fof(f230,plain,
( spl40_15
<=> ! [X0] :
( r1(X0,sK15(X0))
| ~ r1(sK33,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_15])]) ).
fof(f321,plain,
( p1(sK33)
| sP4(sK33)
| ~ spl40_15 ),
inference(subsumption_resolution,[],[f320,f135]) ).
fof(f320,plain,
( ~ r1(sK33,sK36)
| p1(sK33)
| sP4(sK33)
| ~ spl40_15 ),
inference(resolution,[],[f295,f218]) ).
fof(f218,plain,
sP8(sK33),
inference(resolution,[],[f216,f132]) ).
fof(f216,plain,
! [X0] :
( ~ r1(sK32,X0)
| sP8(X0) ),
inference(resolution,[],[f177,f131]) ).
fof(f177,plain,
! [X0,X1] :
( ~ r1(sK31,X0)
| ~ r1(X0,X1)
| sP8(X1) ),
inference(resolution,[],[f127,f130]) ).
fof(f127,plain,
! [X26,X27,X25] :
( ~ r1(sK26,X25)
| ~ r1(X26,X27)
| ~ r1(X25,X26)
| sP8(X27) ),
inference(cnf_transformation,[],[f85]) ).
fof(f295,plain,
( ! [X0] :
( ~ sP8(X0)
| ~ r1(X0,sK36)
| p1(X0)
| sP4(X0) )
| ~ spl40_15 ),
inference(resolution,[],[f293,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ p1(sK15(X1))
| sP4(X0)
| ~ r1(X0,X1)
| p1(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( sP4(X0)
| ! [X1] :
( ( ~ p1(sK15(X1))
& r1(X1,sK15(X1)) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f33,f34]) ).
fof(f34,plain,
! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
=> ( ~ p1(sK15(X1))
& r1(X1,sK15(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0] :
( sP4(X0)
| ! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ sP8(X0) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X33] :
( sP4(X33)
| ! [X48] :
( ? [X49] :
( ~ p1(X49)
& r1(X48,X49) )
| ~ r1(X33,X48) )
| p1(X33)
| ~ sP8(X33) ),
inference(nnf_transformation,[],[f15]) ).
fof(f293,plain,
( p1(sK15(sK36))
| ~ spl40_15 ),
inference(resolution,[],[f280,f136]) ).
fof(f280,plain,
( r1(sK36,sK15(sK36))
| ~ spl40_15 ),
inference(resolution,[],[f231,f135]) ).
fof(f231,plain,
( ! [X0] :
( ~ r1(sK33,X0)
| r1(X0,sK15(X0)) )
| ~ spl40_15 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f389,plain,
( ~ spl40_13
| ~ spl40_17 ),
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f388,plain,
( $false
| ~ spl40_13
| ~ spl40_17 ),
inference(subsumption_resolution,[],[f387,f224]) ).
fof(f224,plain,
( sP4(sK33)
| ~ spl40_13 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f387,plain,
( ~ sP4(sK33)
| ~ spl40_17 ),
inference(resolution,[],[f242,f108]) ).
fof(f108,plain,
! [X0] :
( ~ p1(sK20(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK20(X0),X2) )
& ~ p1(sK20(X0))
& r1(X0,sK20(X0)) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f50,f51]) ).
fof(f51,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK20(X0),X2) )
& ~ p1(sK20(X0))
& r1(X0,sK20(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
| ~ sP4(X0) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X33] :
( ? [X45] :
( ! [X46] :
( ~ p1(X46)
| ! [X47] :
( p1(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
& ~ p1(X45)
& r1(X33,X45) )
| ~ sP4(X33) ),
inference(nnf_transformation,[],[f11]) ).
fof(f242,plain,
( p1(sK20(sK33))
| ~ spl40_17 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl40_17
<=> p1(sK20(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_17])]) ).
fof(f386,plain,
( spl40_17
| ~ spl40_13
| ~ spl40_35 ),
inference(avatar_split_clause,[],[f385,f378,f222,f240]) ).
fof(f378,plain,
( spl40_35
<=> p1(sK35(sK20(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_35])]) ).
fof(f385,plain,
( p1(sK20(sK33))
| ~ spl40_13
| ~ spl40_35 ),
inference(subsumption_resolution,[],[f384,f327]) ).
fof(f327,plain,
( r1(sK33,sK20(sK33))
| ~ spl40_13 ),
inference(resolution,[],[f224,f107]) ).
fof(f107,plain,
! [X0] :
( ~ sP4(X0)
| r1(X0,sK20(X0)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f384,plain,
( p1(sK20(sK33))
| ~ r1(sK33,sK20(sK33))
| ~ spl40_35 ),
inference(resolution,[],[f380,f139]) ).
fof(f380,plain,
( p1(sK35(sK20(sK33)))
| ~ spl40_35 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f381,plain,
( spl40_17
| spl40_35
| ~ spl40_13
| ~ spl40_34 ),
inference(avatar_split_clause,[],[f376,f371,f222,f378,f240]) ).
fof(f371,plain,
( spl40_34
<=> ! [X0] :
( ~ r1(sK34(sK20(sK33)),X0)
| p1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_34])]) ).
fof(f376,plain,
( p1(sK35(sK20(sK33)))
| p1(sK20(sK33))
| ~ spl40_13
| ~ spl40_34 ),
inference(subsumption_resolution,[],[f374,f327]) ).
fof(f374,plain,
( p1(sK35(sK20(sK33)))
| p1(sK20(sK33))
| ~ r1(sK33,sK20(sK33))
| ~ spl40_34 ),
inference(resolution,[],[f372,f138]) ).
fof(f372,plain,
( ! [X0] :
( ~ r1(sK34(sK20(sK33)),X0)
| p1(X0) )
| ~ spl40_34 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f373,plain,
( spl40_17
| spl40_34
| ~ spl40_13
| ~ spl40_16 ),
inference(avatar_split_clause,[],[f369,f236,f222,f371,f240]) ).
fof(f236,plain,
( spl40_16
<=> p1(sK34(sK20(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl40_16])]) ).
fof(f369,plain,
( ! [X0] :
( ~ r1(sK34(sK20(sK33)),X0)
| p1(X0)
| p1(sK20(sK33)) )
| ~ spl40_13
| ~ spl40_16 ),
inference(subsumption_resolution,[],[f368,f327]) ).
fof(f368,plain,
( ! [X0] :
( ~ r1(sK34(sK20(sK33)),X0)
| p1(X0)
| p1(sK20(sK33))
| ~ r1(sK33,sK20(sK33)) )
| ~ spl40_13
| ~ spl40_16 ),
inference(subsumption_resolution,[],[f363,f238]) ).
fof(f238,plain,
( p1(sK34(sK20(sK33)))
| ~ spl40_16 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f363,plain,
( ! [X0] :
( ~ r1(sK34(sK20(sK33)),X0)
| p1(X0)
| ~ p1(sK34(sK20(sK33)))
| p1(sK20(sK33))
| ~ r1(sK33,sK20(sK33)) )
| ~ spl40_13 ),
inference(resolution,[],[f326,f137]) ).
fof(f326,plain,
( ! [X0,X1] :
( ~ r1(sK20(sK33),X1)
| ~ r1(X1,X0)
| p1(X0)
| ~ p1(X1) )
| ~ spl40_13 ),
inference(resolution,[],[f224,f109]) ).
fof(f109,plain,
! [X2,X3,X0] :
( ~ sP4(X0)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(sK20(X0),X2)
| ~ p1(X2) ),
inference(cnf_transformation,[],[f52]) ).
fof(f330,plain,
( spl40_16
| spl40_17
| ~ spl40_13 ),
inference(avatar_split_clause,[],[f329,f222,f240,f236]) ).
fof(f329,plain,
( p1(sK20(sK33))
| p1(sK34(sK20(sK33)))
| ~ spl40_13 ),
inference(resolution,[],[f327,f140]) ).
fof(f314,plain,
( spl40_28
| spl40_26 ),
inference(avatar_split_clause,[],[f301,f303,f311]) ).
fof(f301,plain,
( sP5(sK33)
| r1(sK33,sK16(sK33)) ),
inference(resolution,[],[f298,f96]) ).
fof(f96,plain,
! [X0] :
( ~ sP7(X0)
| sP5(X0)
| r1(X0,sK16(X0)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f309,plain,
( spl40_26
| spl40_27 ),
inference(avatar_split_clause,[],[f300,f307,f303]) ).
fof(f300,plain,
! [X0,X1] :
( p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK16(sK33),X1)
| sP5(sK33)
| ~ p1(X1) ),
inference(resolution,[],[f298,f98]) ).
fof(f98,plain,
! [X2,X3,X0] :
( ~ sP7(X0)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(sK16(X0),X2)
| sP5(X0)
| ~ p1(X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f272,plain,
( spl40_20
| spl40_21
| ~ spl40_14
| spl40_22 ),
inference(avatar_split_clause,[],[f258,f268,f226,f265,f261]) ).
fof(f258,plain,
! [X0] :
( sP3(sK33)
| ~ p1(sK33)
| p1(X0)
| ~ r1(sK33,X0)
| sP2(sK17(sK33)) ),
inference(resolution,[],[f100,f201]) ).
fof(f100,plain,
! [X2,X0] :
( ~ sP6(X0)
| sP3(X0)
| ~ p1(X0)
| p1(X2)
| ~ r1(X0,X2)
| sP2(sK17(X0)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f232,plain,
( spl40_13
| spl40_14
| spl40_15 ),
inference(avatar_split_clause,[],[f220,f230,f226,f222]) ).
fof(f220,plain,
! [X0] :
( r1(X0,sK15(X0))
| ~ r1(sK33,X0)
| p1(sK33)
| sP4(sK33) ),
inference(resolution,[],[f94,f218]) ).
fof(f94,plain,
! [X0,X1] :
( ~ sP8(X0)
| r1(X1,sK15(X1))
| ~ r1(X0,X1)
| p1(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : LCL640+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n025.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri May 3 14:15:58 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (8223)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (8225)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (8230)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)
% 0.13/0.38 % (8224)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.38 % (8226)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)
% 0.13/0.38 % (8228)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.38 % (8227)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.38 % (8229)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [3]
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.13/0.39 TRYING [3]
% 0.13/0.39 TRYING [4]
% 0.13/0.39 TRYING [4]
% 0.13/0.40 TRYING [3]
% 0.13/0.40 TRYING [4]
% 0.13/0.40 TRYING [5]
% 0.13/0.41 TRYING [5]
% 0.13/0.41 TRYING [4]
% 0.19/0.42 % (8229)First to succeed.
% 0.19/0.42 TRYING [5]
% 0.19/0.43 TRYING [5]
% 0.19/0.43 % (8229)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8223"
% 0.19/0.43 % (8229)Refutation found. Thanks to Tanya!
% 0.19/0.43 % SZS status Theorem for theBenchmark
% 0.19/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.44 % (8229)------------------------------
% 0.19/0.44 % (8229)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.44 % (8229)Termination reason: Refutation
% 0.19/0.44
% 0.19/0.44 % (8229)Memory used [KB]: 1528
% 0.19/0.44 % (8229)Time elapsed: 0.053 s
% 0.19/0.44 % (8229)Instructions burned: 71 (million)
% 0.19/0.44 % (8223)Success in time 0.071 s
%------------------------------------------------------------------------------