%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL642+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:53:44 AM UTC 2026
% Result : Theorem 4.51s 1.20s
% Output : Refutation 4.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 33
% Syntax : Number of formulae : 266 ( 14 unt; 32 def)
% Number of atoms : 2750 ( 0 equ)
% Maximal formula atoms : 191 ( 10 avg)
% Number of connectives : 4179 (1695 ~;1961 |; 499 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 38 ( 37 usr; 25 prp; 0-2 aty)
% Number of functors : 38 ( 38 usr; 13 con; 0-1 aty)
% Number of variables : 1031 ( 0 sgn 846 !; 185 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p3(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) ) )
| ~ ( ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) ) )
| ~ ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p3(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) ) )
| ~ ( ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) ) )
| ~ ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p3(X4) )
| ~ p3(X3) ) )
| ! [X5] :
( ~ r1(X0,X5)
| p2(X5) )
| ~ ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ~ ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| p2(X8) )
| ~ p2(X7) ) )
| ! [X9] :
( ~ r1(X0,X9)
| p1(X9) )
| ~ ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| p1(X12) )
| ~ p1(X11) ) )
| ~ ( ( ( ( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ~ ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) )
| ~ p2(X15) ) ) )
| ~ ! [X17] :
( ~ r1(X0,X17)
| p2(X17)
| ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ~ ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21) )
| ~ p2(X20) ) ) )
| ~ ! [X22] :
( ~ r1(X0,X22)
| ( ( ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p2(X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
| ~ ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29) )
| ~ p2(X28) ) ) )
& ( p2(X22)
| ~ ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
| ~ ! [X32] :
( ~ r1(X22,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ~ ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p2(X37) )
| ~ p2(X36) ) ) )
| ~ ! [X38] :
( ~ r1(X33,X38)
| p2(X38)
| ~ ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ~ ! [X41] :
( ~ r1(X33,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42) )
| ~ p2(X41) ) ) ) )
| ~ ( ( ! [X43] :
( ~ r1(X32,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
| ~ ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ~ ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) )
& ( p2(X32)
| ~ ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X52] :
( ~ r1(X0,X52)
| $false )
| ~ ! [X53] :
( ~ r1(X0,X53)
| p4(X53)
| p3(X53)
| p2(X53)
| p1(X53)
| ! [X54] :
( ~ r1(X53,X54)
| $false )
| ~ ! [X55] :
( ~ r1(X53,X55)
| ! [X56] :
( ~ r1(X55,X56)
| p4(X56)
| p3(X56)
| p2(X56)
| p1(X56)
| ! [X57] :
( ~ r1(X56,X57)
| $false ) )
| ~ ( p4(X55)
| p3(X55)
| p2(X55)
| p1(X55)
| ! [X58] :
( ~ r1(X55,X58)
| $false ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X59] :
( ~ r1(X0,X59)
| $false )
| ~ ! [X60] :
( ~ r1(X0,X60)
| p3(X60)
| p2(X60)
| p1(X60)
| ! [X61] :
( ~ r1(X60,X61)
| $false )
| ~ ! [X62] :
( ~ r1(X60,X62)
| ! [X63] :
( ~ r1(X62,X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] :
( ~ r1(X63,X64)
| $false ) )
| ~ ( p3(X62)
| p2(X62)
| p1(X62)
| ! [X65] :
( ~ r1(X62,X65)
| $false ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X66] :
( ~ r1(X0,X66)
| $false )
| ~ ! [X67] :
( ~ r1(X0,X67)
| p2(X67)
| p1(X67)
| ! [X68] :
( ~ r1(X67,X68)
| $false )
| ~ ! [X69] :
( ~ r1(X67,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p2(X70)
| p1(X70)
| ! [X71] :
( ~ r1(X70,X71)
| $false ) )
| ~ ( p2(X69)
| p1(X69)
| ! [X72] :
( ~ r1(X69,X72)
| $false ) ) ) ) )
& ( p1(X0)
| ! [X73] :
( ~ r1(X0,X73)
| $false )
| ~ ! [X74] :
( ~ r1(X0,X74)
| p1(X74)
| ! [X75] :
( ~ r1(X74,X75)
| $false )
| ~ ! [X76] :
( ~ r1(X74,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77)
| ! [X78] :
( ~ r1(X77,X78)
| $false ) )
| ~ ( p1(X76)
| ! [X79] :
( ~ r1(X76,X79)
| $false ) ) ) ) )
& ! [X80] :
( ~ r1(X0,X80)
| p2(X80)
| ~ ! [X81] :
( ~ r1(X80,X81)
| p2(X81)
| ~ ! [X82] :
( ~ r1(X81,X82)
| ! [X83] :
( ~ r1(X82,X83)
| p2(X83) )
| ~ p2(X82) ) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p3(X4) )
| ~ p3(X3) ) )
| ! [X5] :
( ~ r1(X0,X5)
| p2(X5) )
| ~ ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ~ ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| p2(X8) )
| ~ p2(X7) ) )
| ! [X9] :
( ~ r1(X0,X9)
| p1(X9) )
| ~ ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| p1(X12) )
| ~ p1(X11) ) )
| ~ ( ( ( ( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ~ ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) )
| ~ p2(X15) ) ) )
| ~ ! [X17] :
( ~ r1(X0,X17)
| p2(X17)
| ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ~ ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21) )
| ~ p2(X20) ) ) )
| ~ ! [X22] :
( ~ r1(X0,X22)
| ( ( ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p2(X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
| ~ ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29) )
| ~ p2(X28) ) ) )
& ( p2(X22)
| ~ ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
| ~ ! [X32] :
( ~ r1(X22,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ~ ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p2(X37) )
| ~ p2(X36) ) ) )
| ~ ! [X38] :
( ~ r1(X33,X38)
| p2(X38)
| ~ ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ~ ! [X41] :
( ~ r1(X33,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42) )
| ~ p2(X41) ) ) ) )
| ~ ( ( ! [X43] :
( ~ r1(X32,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
| ~ ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ~ ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) )
& ( p2(X32)
| ~ ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X52] : ~ r1(X0,X52)
| ~ ! [X53] :
( ~ r1(X0,X53)
| p4(X53)
| p3(X53)
| p2(X53)
| p1(X53)
| ! [X54] : ~ r1(X53,X54)
| ~ ! [X55] :
( ~ r1(X53,X55)
| ! [X56] :
( ~ r1(X55,X56)
| p4(X56)
| p3(X56)
| p2(X56)
| p1(X56)
| ! [X57] : ~ r1(X56,X57) )
| ~ ( p4(X55)
| p3(X55)
| p2(X55)
| p1(X55)
| ! [X58] : ~ r1(X55,X58) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X59] : ~ r1(X0,X59)
| ~ ! [X60] :
( ~ r1(X0,X60)
| p3(X60)
| p2(X60)
| p1(X60)
| ! [X61] : ~ r1(X60,X61)
| ~ ! [X62] :
( ~ r1(X60,X62)
| ! [X63] :
( ~ r1(X62,X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] : ~ r1(X63,X64) )
| ~ ( p3(X62)
| p2(X62)
| p1(X62)
| ! [X65] : ~ r1(X62,X65) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X66] : ~ r1(X0,X66)
| ~ ! [X67] :
( ~ r1(X0,X67)
| p2(X67)
| p1(X67)
| ! [X68] : ~ r1(X67,X68)
| ~ ! [X69] :
( ~ r1(X67,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p2(X70)
| p1(X70)
| ! [X71] : ~ r1(X70,X71) )
| ~ ( p2(X69)
| p1(X69)
| ! [X72] : ~ r1(X69,X72) ) ) ) )
& ( p1(X0)
| ! [X73] : ~ r1(X0,X73)
| ~ ! [X74] :
( ~ r1(X0,X74)
| p1(X74)
| ! [X75] : ~ r1(X74,X75)
| ~ ! [X76] :
( ~ r1(X74,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77)
| ! [X78] : ~ r1(X77,X78) )
| ~ ( p1(X76)
| ! [X79] : ~ r1(X76,X79) ) ) ) )
& ! [X80] :
( ~ r1(X0,X80)
| p2(X80)
| ~ ! [X81] :
( ~ r1(X80,X81)
| p2(X81)
| ~ ! [X82] :
( ~ r1(X81,X82)
| ! [X83] :
( ~ r1(X82,X83)
| p2(X83) )
| ~ p2(X82) ) ) ) ) ),
inference(true_and_false_elimination,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p3(X4) )
| ~ p3(X3) ) )
| ! [X5] :
( ~ r1(X0,X5)
| p2(X5) )
| ~ ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ~ ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| p2(X8) )
| ~ p2(X7) ) )
| ! [X9] :
( ~ r1(X0,X9)
| p1(X9) )
| ~ ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| p1(X12) )
| ~ p1(X11) ) )
| ~ ( ( ( ( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ~ ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) )
| ~ p2(X15) ) ) )
| ~ ! [X17] :
( ~ r1(X0,X17)
| p2(X17)
| ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ~ ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21) )
| ~ p2(X20) ) ) )
| ~ ! [X22] :
( ~ r1(X0,X22)
| ( ( ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p2(X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
| ~ ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29) )
| ~ p2(X28) ) ) )
& ( p2(X22)
| ~ ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
| ~ ! [X32] :
( ~ r1(X22,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ~ ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p2(X37) )
| ~ p2(X36) ) ) )
| ~ ! [X38] :
( ~ r1(X33,X38)
| p2(X38)
| ~ ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ~ ! [X41] :
( ~ r1(X33,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42) )
| ~ p2(X41) ) ) ) )
| ~ ( ( ! [X43] :
( ~ r1(X32,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
| ~ ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ~ ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) )
& ( p2(X32)
| ~ ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X52] : ~ r1(X0,X52)
| ~ ! [X53] :
( ~ r1(X0,X53)
| p4(X53)
| p3(X53)
| p2(X53)
| p1(X53)
| ! [X54] : ~ r1(X53,X54)
| ~ ! [X55] :
( ~ r1(X53,X55)
| ! [X56] :
( ~ r1(X55,X56)
| p4(X56)
| p3(X56)
| p2(X56)
| p1(X56)
| ! [X57] : ~ r1(X56,X57) )
| ~ ( p4(X55)
| p3(X55)
| p2(X55)
| p1(X55)
| ! [X58] : ~ r1(X55,X58) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X59] : ~ r1(X0,X59)
| ~ ! [X60] :
( ~ r1(X0,X60)
| p3(X60)
| p2(X60)
| p1(X60)
| ! [X61] : ~ r1(X60,X61)
| ~ ! [X62] :
( ~ r1(X60,X62)
| ! [X63] :
( ~ r1(X62,X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] : ~ r1(X63,X64) )
| ~ ( p3(X62)
| p2(X62)
| p1(X62)
| ! [X65] : ~ r1(X62,X65) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X66] : ~ r1(X0,X66)
| ~ ! [X67] :
( ~ r1(X0,X67)
| p2(X67)
| p1(X67)
| ! [X68] : ~ r1(X67,X68)
| ~ ! [X69] :
( ~ r1(X67,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p2(X70)
| p1(X70)
| ! [X71] : ~ r1(X70,X71) )
| ~ ( p2(X69)
| p1(X69)
| ! [X72] : ~ r1(X69,X72) ) ) ) )
& ( p1(X0)
| ! [X73] : ~ r1(X0,X73)
| ~ ! [X74] :
( ~ r1(X0,X74)
| p1(X74)
| ! [X75] : ~ r1(X74,X75)
| ~ ! [X76] :
( ~ r1(X74,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77)
| ! [X78] : ~ r1(X77,X78) )
| ~ ( p1(X76)
| ! [X79] : ~ r1(X76,X79) ) ) ) )
& ! [X80] :
( ~ r1(X0,X80)
| p2(X80)
| ~ ! [X81] :
( ~ r1(X80,X81)
| p2(X81)
| ~ ! [X82] :
( ~ r1(X81,X82)
| ! [X83] :
( ~ r1(X82,X83)
| p2(X83) )
| ~ p2(X82) ) ) ) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p3(X4) )
& p3(X3) ) )
& ? [X5] :
( r1(X0,X5)
& ~ p2(X5) )
& ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ~ p2(X8) )
& p2(X7) ) )
& ? [X9] :
( r1(X0,X9)
& ~ p1(X9) )
& ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& ~ p1(X12) )
& p1(X11) ) )
& ( ( ( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ? [X15] :
( r1(X14,X15)
& ? [X16] :
( r1(X15,X16)
& ~ p2(X16) )
& p2(X15) ) ) )
| ? [X17] :
( r1(X0,X17)
& ~ p2(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ? [X20] :
( r1(X0,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p2(X21) )
& p2(X20) ) ) )
| ? [X22] :
( r1(X0,X22)
& ( ( ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ? [X28] :
( r1(X27,X28)
& ? [X29] :
( r1(X28,X29)
& ~ p2(X29) )
& p2(X28) ) ) )
| ( ~ p2(X22)
& ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
& ! [X32] :
( ~ r1(X22,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ? [X36] :
( r1(X35,X36)
& ? [X37] :
( r1(X36,X37)
& ~ p2(X37) )
& p2(X36) ) ) )
| ? [X38] :
( r1(X33,X38)
& ~ p2(X38)
& ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ? [X41] :
( r1(X33,X41)
& ? [X42] :
( r1(X41,X42)
& ~ p2(X42) )
& p2(X41) ) ) ) )
| ( ? [X43] :
( r1(X32,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44)
& ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
& ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ? [X48] :
( r1(X47,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) )
| ( ~ p2(X32)
& ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X52] : ~ r1(X0,X52)
| ? [X53] :
( r1(X0,X53)
& ~ p4(X53)
& ~ p3(X53)
& ~ p2(X53)
& ~ p1(X53)
& ? [X54] : r1(X53,X54)
& ! [X55] :
( ~ r1(X53,X55)
| ! [X56] :
( ~ r1(X55,X56)
| p4(X56)
| p3(X56)
| p2(X56)
| p1(X56)
| ! [X57] : ~ r1(X56,X57) )
| ( ~ p4(X55)
& ~ p3(X55)
& ~ p2(X55)
& ~ p1(X55)
& ? [X58] : r1(X55,X58) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X59] : ~ r1(X0,X59)
| ? [X60] :
( r1(X0,X60)
& ~ p3(X60)
& ~ p2(X60)
& ~ p1(X60)
& ? [X61] : r1(X60,X61)
& ! [X62] :
( ~ r1(X60,X62)
| ! [X63] :
( ~ r1(X62,X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] : ~ r1(X63,X64) )
| ( ~ p3(X62)
& ~ p2(X62)
& ~ p1(X62)
& ? [X65] : r1(X62,X65) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X66] : ~ r1(X0,X66)
| ? [X67] :
( r1(X0,X67)
& ~ p2(X67)
& ~ p1(X67)
& ? [X68] : r1(X67,X68)
& ! [X69] :
( ~ r1(X67,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p2(X70)
| p1(X70)
| ! [X71] : ~ r1(X70,X71) )
| ( ~ p2(X69)
& ~ p1(X69)
& ? [X72] : r1(X69,X72) ) ) ) )
& ( p1(X0)
| ! [X73] : ~ r1(X0,X73)
| ? [X74] :
( r1(X0,X74)
& ~ p1(X74)
& ? [X75] : r1(X74,X75)
& ! [X76] :
( ~ r1(X74,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77)
| ! [X78] : ~ r1(X77,X78) )
| ( ~ p1(X76)
& ? [X79] : r1(X76,X79) ) ) ) )
& ! [X80] :
( ~ r1(X0,X80)
| p2(X80)
| ? [X81] :
( r1(X80,X81)
& ~ p2(X81)
& ! [X82] :
( ~ r1(X81,X82)
| ! [X83] :
( ~ r1(X82,X83)
| p2(X83) )
| ~ p2(X82) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p3(X4) )
& p3(X3) ) )
& ? [X5] :
( r1(X0,X5)
& ~ p2(X5) )
& ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ~ p2(X8) )
& p2(X7) ) )
& ? [X9] :
( r1(X0,X9)
& ~ p1(X9) )
& ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& ~ p1(X12) )
& p1(X11) ) )
& ( ( ( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ? [X15] :
( r1(X14,X15)
& ? [X16] :
( r1(X15,X16)
& ~ p2(X16) )
& p2(X15) ) ) )
| ? [X17] :
( r1(X0,X17)
& ~ p2(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ? [X20] :
( r1(X0,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p2(X21) )
& p2(X20) ) ) )
| ? [X22] :
( r1(X0,X22)
& ( ( ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ? [X28] :
( r1(X27,X28)
& ? [X29] :
( r1(X28,X29)
& ~ p2(X29) )
& p2(X28) ) ) )
| ( ~ p2(X22)
& ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
& ! [X32] :
( ~ r1(X22,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ( ( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ? [X36] :
( r1(X35,X36)
& ? [X37] :
( r1(X36,X37)
& ~ p2(X37) )
& p2(X36) ) ) )
| ? [X38] :
( r1(X33,X38)
& ~ p2(X38)
& ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ? [X41] :
( r1(X33,X41)
& ? [X42] :
( r1(X41,X42)
& ~ p2(X42) )
& p2(X41) ) ) ) )
| ( ? [X43] :
( r1(X32,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44)
& ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
& ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ? [X48] :
( r1(X47,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) )
| ( ~ p2(X32)
& ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X52] : ~ r1(X0,X52)
| ? [X53] :
( r1(X0,X53)
& ~ p4(X53)
& ~ p3(X53)
& ~ p2(X53)
& ~ p1(X53)
& ? [X54] : r1(X53,X54)
& ! [X55] :
( ~ r1(X53,X55)
| ! [X56] :
( ~ r1(X55,X56)
| p4(X56)
| p3(X56)
| p2(X56)
| p1(X56)
| ! [X57] : ~ r1(X56,X57) )
| ( ~ p4(X55)
& ~ p3(X55)
& ~ p2(X55)
& ~ p1(X55)
& ? [X58] : r1(X55,X58) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X59] : ~ r1(X0,X59)
| ? [X60] :
( r1(X0,X60)
& ~ p3(X60)
& ~ p2(X60)
& ~ p1(X60)
& ? [X61] : r1(X60,X61)
& ! [X62] :
( ~ r1(X60,X62)
| ! [X63] :
( ~ r1(X62,X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] : ~ r1(X63,X64) )
| ( ~ p3(X62)
& ~ p2(X62)
& ~ p1(X62)
& ? [X65] : r1(X62,X65) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X66] : ~ r1(X0,X66)
| ? [X67] :
( r1(X0,X67)
& ~ p2(X67)
& ~ p1(X67)
& ? [X68] : r1(X67,X68)
& ! [X69] :
( ~ r1(X67,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p2(X70)
| p1(X70)
| ! [X71] : ~ r1(X70,X71) )
| ( ~ p2(X69)
& ~ p1(X69)
& ? [X72] : r1(X69,X72) ) ) ) )
& ( p1(X0)
| ! [X73] : ~ r1(X0,X73)
| ? [X74] :
( r1(X0,X74)
& ~ p1(X74)
& ? [X75] : r1(X74,X75)
& ! [X76] :
( ~ r1(X74,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77)
| ! [X78] : ~ r1(X77,X78) )
| ( ~ p1(X76)
& ? [X79] : r1(X76,X79) ) ) ) )
& ! [X80] :
( ~ r1(X0,X80)
| p2(X80)
| ? [X81] :
( r1(X80,X81)
& ~ p2(X81)
& ! [X82] :
( ~ r1(X81,X82)
| ! [X83] :
( ~ r1(X82,X83)
| p2(X83) )
| ~ p2(X82) ) ) ) ),
inference(flattening,[],[f6]) ).
fof(f8,definition,
! [X60] :
( ! [X62] :
( ~ r1(X60,X62)
| ! [X63] :
( ~ r1(X62,X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] : ~ r1(X63,X64) )
| ( ~ p3(X62)
& ~ p2(X62)
& ~ p1(X62)
& ? [X65] : r1(X62,X65) ) )
| ~ sP0(X60) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f9,definition,
! [X53] :
( ! [X55] :
( ~ r1(X53,X55)
| ! [X56] :
( ~ r1(X55,X56)
| p4(X56)
| p3(X56)
| p2(X56)
| p1(X56)
| ! [X57] : ~ r1(X56,X57) )
| ( ~ p4(X55)
& ~ p3(X55)
& ~ p2(X55)
& ~ p1(X55)
& ? [X58] : r1(X55,X58) ) )
| ~ sP1(X53) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X33] :
( ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35)
| ? [X36] :
( r1(X35,X36)
& ? [X37] :
( r1(X36,X37)
& ~ p2(X37) )
& p2(X36) ) ) )
| ~ sP2(X33) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X32] :
( ( ? [X43] :
( r1(X32,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44)
& ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
& ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ? [X48] :
( r1(X47,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) )
| ~ sP3(X32) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| ( ( sP2(X33)
| ? [X38] :
( r1(X33,X38)
& ~ p2(X38)
& ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ? [X41] :
( r1(X33,X41)
& ? [X42] :
( r1(X41,X42)
& ~ p2(X42) )
& p2(X41) ) ) ) )
| ~ sP4(X32) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X22] :
( ( ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ? [X28] :
( r1(X27,X28)
& ? [X29] :
( r1(X28,X29)
& ~ p2(X29) )
& p2(X28) ) ) )
| ~ sP5(X22) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X0] :
( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ? [X15] :
( r1(X14,X15)
& ? [X16] :
( r1(X15,X16)
& ~ p2(X16) )
& p2(X15) ) ) )
| ~ sP6(X0) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X0] :
( ( ( sP6(X0)
| ? [X17] :
( r1(X0,X17)
& ~ p2(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ? [X20] :
( r1(X0,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p2(X21) )
& p2(X20) ) ) )
| ~ sP7(X0) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f16,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p3(X4) )
& p3(X3) ) )
& ? [X5] :
( r1(X0,X5)
& ~ p2(X5) )
& ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ~ p2(X8) )
& p2(X7) ) )
& ? [X9] :
( r1(X0,X9)
& ~ p1(X9) )
& ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& ~ p1(X12) )
& p1(X11) ) )
& ( sP7(X0)
| ? [X22] :
( r1(X0,X22)
& ( sP5(X22)
| ( ~ p2(X22)
& ! [X30] :
( ~ r1(X22,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) )
| ~ p2(X30) ) ) )
& ! [X32] :
( ~ r1(X22,X32)
| sP4(X32)
| sP3(X32)
| ( ~ p2(X32)
& ! [X50] :
( ~ r1(X32,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X52] : ~ r1(X0,X52)
| ? [X53] :
( r1(X0,X53)
& ~ p4(X53)
& ~ p3(X53)
& ~ p2(X53)
& ~ p1(X53)
& ? [X54] : r1(X53,X54)
& sP1(X53) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X59] : ~ r1(X0,X59)
| ? [X60] :
( r1(X0,X60)
& ~ p3(X60)
& ~ p2(X60)
& ~ p1(X60)
& ? [X61] : r1(X60,X61)
& sP0(X60) ) )
& ( p2(X0)
| p1(X0)
| ! [X66] : ~ r1(X0,X66)
| ? [X67] :
( r1(X0,X67)
& ~ p2(X67)
& ~ p1(X67)
& ? [X68] : r1(X67,X68)
& ! [X69] :
( ~ r1(X67,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p2(X70)
| p1(X70)
| ! [X71] : ~ r1(X70,X71) )
| ( ~ p2(X69)
& ~ p1(X69)
& ? [X72] : r1(X69,X72) ) ) ) )
& ( p1(X0)
| ! [X73] : ~ r1(X0,X73)
| ? [X74] :
( r1(X0,X74)
& ~ p1(X74)
& ? [X75] : r1(X74,X75)
& ! [X76] :
( ~ r1(X74,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p1(X77)
| ! [X78] : ~ r1(X77,X78) )
| ( ~ p1(X76)
& ? [X79] : r1(X76,X79) ) ) ) )
& ! [X80] :
( ~ r1(X0,X80)
| p2(X80)
| ? [X81] :
( r1(X80,X81)
& ~ p2(X81)
& ! [X82] :
( ~ r1(X81,X82)
| ! [X83] :
( ~ r1(X82,X83)
| p2(X83) )
| ~ p2(X82) ) ) ) ),
inference(definition_folding,[],[f7,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f17,plain,
! [X0] :
( ( ( sP6(X0)
| ? [X17] :
( r1(X0,X17)
& ~ p2(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) )
& ( p2(X0)
| ? [X20] :
( r1(X0,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p2(X21) )
& p2(X20) ) ) )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f15]) ).
fof(f18,plain,
! [X0] :
( ( ( sP6(X0)
| ? [X1] :
( r1(X0,X1)
& ~ p2(X1)
& ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| p2(X3) )
| ~ p2(X2) ) ) )
& ( p2(X0)
| ? [X4] :
( r1(X0,X4)
& ? [X5] :
( r1(X4,X5)
& ~ p2(X5) )
& p2(X4) ) ) )
| ~ sP7(X0) ),
inference(rectify,[],[f17]) ).
fof(f19,plain,
! [X0] :
( ( ( sP6(X0)
| ( r1(X0,sK8(X0))
& ~ p2(sK8(X0))
& ! [X2] :
( ~ r1(sK8(X0),X2)
| ! [X3] :
( ~ r1(X2,X3)
| p2(X3) )
| ~ p2(X2) ) ) )
& ( p2(X0)
| ( r1(X0,sK9(X0))
& r1(sK9(X0),sK10(X0))
& ~ p2(sK10(X0))
& p2(sK9(X0)) ) ) )
| ~ sP7(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X1,sK8(X0)),skolemize(X4,sK9(X0)),skolemize(X5,sK10(X0))],[f18]) ).
fof(f20,plain,
! [X0] :
( ! [X13] :
( ~ r1(X0,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14)
| ? [X15] :
( r1(X14,X15)
& ? [X16] :
( r1(X15,X16)
& ~ p2(X16) )
& p2(X15) ) ) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f14]) ).
fof(f21,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) )
& p2(X3) ) ) )
| ~ sP6(X0) ),
inference(rectify,[],[f20]) ).
fof(f22,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ( r1(X2,sK11(X2))
& r1(sK11(X2),sK12(X2))
& ~ p2(sK12(X2))
& p2(sK11(X2)) ) ) )
| ~ sP6(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X3,sK11(X2)),skolemize(X4,sK12(X2))],[f21]) ).
fof(f23,plain,
! [X22] :
( ( ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ! [X27] :
( ~ r1(X22,X27)
| p2(X27)
| ? [X28] :
( r1(X27,X28)
& ? [X29] :
( r1(X28,X29)
& ~ p2(X29) )
& p2(X28) ) ) )
| ~ sP5(X22) ),
inference(nnf_transformation,[],[f13]) ).
fof(f24,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ~ p2(X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) ) ) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& p2(X6) ) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
! [X0] :
( ( r1(X0,sK13(X0))
& r1(sK13(X0),sK14(X0))
& ~ p2(sK14(X0))
& ! [X3] :
( ~ r1(sK14(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ( r1(X5,sK15(X5))
& r1(sK15(X5),sK16(X5))
& ~ p2(sK16(X5))
& p2(sK15(X5)) ) ) )
| ~ sP5(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16]),skolemize(X1,sK13(X0)),skolemize(X2,sK14(X0)),skolemize(X6,sK15(X5)),skolemize(X7,sK16(X5))],[f24]) ).
fof(f26,plain,
! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| ( ( sP2(X33)
| ? [X38] :
( r1(X33,X38)
& ~ p2(X38)
& ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ( p2(X33)
| ? [X41] :
( r1(X33,X41)
& ? [X42] :
( r1(X41,X42)
& ~ p2(X42) )
& p2(X41) ) ) ) )
| ~ sP4(X32) ),
inference(nnf_transformation,[],[f12]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( sP2(X1)
| ? [X2] :
( r1(X1,X2)
& ~ p2(X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) ) ) )
& ( p2(X1)
| ? [X5] :
( r1(X1,X5)
& ? [X6] :
( r1(X5,X6)
& ~ p2(X6) )
& p2(X5) ) ) ) )
| ~ sP4(X0) ),
inference(rectify,[],[f26]) ).
fof(f28,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( sP2(X1)
| ( r1(X1,sK17(X1))
& ~ p2(sK17(X1))
& ! [X3] :
( ~ r1(sK17(X1),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) ) ) )
& ( p2(X1)
| ( r1(X1,sK18(X1))
& r1(sK18(X1),sK19(X1))
& ~ p2(sK19(X1))
& p2(sK18(X1)) ) ) ) )
| ~ sP4(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19]),skolemize(X2,sK17(X1)),skolemize(X5,sK18(X1)),skolemize(X6,sK19(X1))],[f27]) ).
fof(f29,plain,
! [X32] :
( ( ? [X43] :
( r1(X32,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44)
& ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
& ! [X47] :
( ~ r1(X32,X47)
| p2(X47)
| ? [X48] :
( r1(X47,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) )
| ~ sP3(X32) ),
inference(nnf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ~ p2(X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) ) ) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& p2(X6) ) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f29]) ).
fof(f31,plain,
! [X0] :
( ( r1(X0,sK20(X0))
& r1(sK20(X0),sK21(X0))
& ~ p2(sK21(X0))
& ! [X3] :
( ~ r1(sK21(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ( r1(X5,sK22(X5))
& r1(sK22(X5),sK23(X5))
& ~ p2(sK23(X5))
& p2(sK22(X5)) ) ) )
| ~ sP3(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23]),skolemize(X1,sK20(X0)),skolemize(X2,sK21(X0)),skolemize(X6,sK22(X5)),skolemize(X7,sK23(X5))],[f30]) ).
fof(f41,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p3(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p3(X4) )
& p3(X3) ) )
& ? [X5] :
( r1(X0,X5)
& ~ p2(X5) )
& ! [X6] :
( ~ r1(X0,X6)
| p2(X6)
| ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ~ p2(X8) )
& p2(X7) ) )
& ? [X9] :
( r1(X0,X9)
& ~ p1(X9) )
& ! [X10] :
( ~ r1(X0,X10)
| p1(X10)
| ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& ~ p1(X12) )
& p1(X11) ) )
& ( sP7(X0)
| ? [X13] :
( r1(X0,X13)
& ( sP5(X13)
| ( ~ p2(X13)
& ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
| ~ p2(X14) ) ) )
& ! [X16] :
( ~ r1(X13,X16)
| sP4(X16)
| sP3(X16)
| ( ~ p2(X16)
& ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X19] : ~ r1(X0,X19)
| ? [X20] :
( r1(X0,X20)
& ~ p4(X20)
& ~ p3(X20)
& ~ p2(X20)
& ~ p1(X20)
& ? [X21] : r1(X20,X21)
& sP1(X20) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X22] : ~ r1(X0,X22)
| ? [X23] :
( r1(X0,X23)
& ~ p3(X23)
& ~ p2(X23)
& ~ p1(X23)
& ? [X24] : r1(X23,X24)
& sP0(X23) ) )
& ( p2(X0)
| p1(X0)
| ! [X25] : ~ r1(X0,X25)
| ? [X26] :
( r1(X0,X26)
& ~ p2(X26)
& ~ p1(X26)
& ? [X27] : r1(X26,X27)
& ! [X28] :
( ~ r1(X26,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29)
| p1(X29)
| ! [X30] : ~ r1(X29,X30) )
| ( ~ p2(X28)
& ~ p1(X28)
& ? [X31] : r1(X28,X31) ) ) ) )
& ( p1(X0)
| ! [X32] : ~ r1(X0,X32)
| ? [X33] :
( r1(X0,X33)
& ~ p1(X33)
& ? [X34] : r1(X33,X34)
& ! [X35] :
( ~ r1(X33,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p1(X36)
| ! [X37] : ~ r1(X36,X37) )
| ( ~ p1(X35)
& ? [X38] : r1(X35,X38) ) ) ) )
& ! [X39] :
( ~ r1(X0,X39)
| p2(X39)
| ? [X40] :
( r1(X39,X40)
& ~ p2(X40)
& ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42) )
| ~ p2(X41) ) ) ) ),
inference(rectify,[],[f16]) ).
fof(f42,plain,
( r1(sK28,sK29)
& ~ p3(sK29)
& ! [X2] :
( ~ r1(sK28,X2)
| p3(X2)
| ( r1(X2,sK30(X2))
& r1(sK30(X2),sK31(X2))
& ~ p3(sK31(X2))
& p3(sK30(X2)) ) )
& r1(sK28,sK32)
& ~ p2(sK32)
& ! [X6] :
( ~ r1(sK28,X6)
| p2(X6)
| ( r1(X6,sK33(X6))
& r1(sK33(X6),sK34(X6))
& ~ p2(sK34(X6))
& p2(sK33(X6)) ) )
& r1(sK28,sK35)
& ~ p1(sK35)
& ! [X10] :
( ~ r1(sK28,X10)
| p1(X10)
| ( r1(X10,sK36(X10))
& r1(sK36(X10),sK37(X10))
& ~ p1(sK37(X10))
& p1(sK36(X10)) ) )
& ( sP7(sK28)
| ( r1(sK28,sK38)
& ( sP5(sK38)
| ( ~ p2(sK38)
& ! [X14] :
( ~ r1(sK38,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
| ~ p2(X14) ) ) )
& ! [X16] :
( ~ r1(sK38,X16)
| sP4(X16)
| sP3(X16)
| ( ~ p2(X16)
& ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) ) ) ) ) )
& ( p4(sK28)
| p3(sK28)
| p2(sK28)
| p1(sK28)
| ! [X19] : ~ r1(sK28,X19)
| ( r1(sK28,sK39)
& ~ p4(sK39)
& ~ p3(sK39)
& ~ p2(sK39)
& ~ p1(sK39)
& r1(sK39,sK40)
& sP1(sK39) ) )
& ( p3(sK28)
| p2(sK28)
| p1(sK28)
| ! [X22] : ~ r1(sK28,X22)
| ( r1(sK28,sK41)
& ~ p3(sK41)
& ~ p2(sK41)
& ~ p1(sK41)
& r1(sK41,sK42)
& sP0(sK41) ) )
& ( p2(sK28)
| p1(sK28)
| ! [X25] : ~ r1(sK28,X25)
| ( r1(sK28,sK43)
& ~ p2(sK43)
& ~ p1(sK43)
& r1(sK43,sK44)
& ! [X28] :
( ~ r1(sK43,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29)
| p1(X29)
| ! [X30] : ~ r1(X29,X30) )
| ( ~ p2(X28)
& ~ p1(X28)
& r1(X28,sK45(X28)) ) ) ) )
& ( p1(sK28)
| ! [X32] : ~ r1(sK28,X32)
| ( r1(sK28,sK46)
& ~ p1(sK46)
& r1(sK46,sK47)
& ! [X35] :
( ~ r1(sK46,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p1(X36)
| ! [X37] : ~ r1(X36,X37) )
| ( ~ p1(X35)
& r1(X35,sK48(X35)) ) ) ) )
& ! [X39] :
( ~ r1(sK28,X39)
| p2(X39)
| ( r1(X39,sK49(X39))
& ~ p2(sK49(X39))
& ! [X41] :
( ~ r1(sK49(X39),X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42) )
| ~ p2(X41) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49]),skolemize(X0,sK28),skolemize(X1,sK29),skolemize(X3,sK30(X2)),skolemize(X4,sK31(X2)),skolemize(X5,sK32),skolemize(X7,sK33(X6)),skolemize(X8,sK34(X6)),skolemize(X9,sK35),skolemize(X11,sK36(X10)),skolemize(X12,sK37(X10)),skolemize(X13,sK38),skolemize(X20,sK39),skolemize(X21,sK40),skolemize(X23,sK41),skolemize(X24,sK42),skolemize(X26,sK43),skolemize(X27,sK44),skolemize(X31,sK45(X28)),skolemize(X33,sK46),skolemize(X34,sK47),skolemize(X38,sK48(X35)),skolemize(X40,sK49(X39))],[f41]) ).
fof(f47,plain,
! [X2,X3,X0] :
( ~ sP7(X0)
| ~ r1(sK8(X0),X2)
| ~ r1(X2,X3)
| p2(X3)
| ~ p2(X2)
| sP6(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f48,plain,
! [X0] :
( ~ p2(sK8(X0))
| sP6(X0)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f49,plain,
! [X0] :
( ~ sP7(X0)
| r1(X0,sK8(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ sP6(X0)
| ~ r1(X1,X2)
| p2(X2)
| p2(sK11(X2))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ p2(sK12(X2))
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(X0,X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f52,plain,
! [X2,X0,X1] :
( r1(sK11(X2),sK12(X2))
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(X0,X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ sP6(X0)
| ~ r1(X1,X2)
| p2(X2)
| r1(X2,sK11(X2))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f54,plain,
! [X0,X5] :
( p2(sK15(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f55,plain,
! [X0,X5] :
( ~ p2(sK16(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f56,plain,
! [X0,X5] :
( r1(sK15(X5),sK16(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f57,plain,
! [X0,X5] :
( ~ sP5(X0)
| p2(X5)
| r1(X5,sK15(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f25]) ).
fof(f58,plain,
! [X3,X0,X4] :
( ~ sP5(X0)
| ~ r1(X3,X4)
| p2(X4)
| ~ p2(X3)
| ~ r1(sK14(X0),X3) ),
inference(cnf_transformation,[],[f25]) ).
fof(f59,plain,
! [X0] :
( ~ p2(sK14(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f60,plain,
! [X0] :
( r1(sK13(X0),sK14(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f61,plain,
! [X0] :
( ~ sP5(X0)
| r1(X0,sK13(X0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f62,plain,
! [X0,X1] :
( p2(sK18(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f63,plain,
! [X0,X1] :
( ~ p2(sK19(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f64,plain,
! [X0,X1] :
( r1(sK18(X1),sK19(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f65,plain,
! [X0,X1] :
( r1(X1,sK18(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f69,plain,
! [X0,X5] :
( ~ sP3(X0)
| p2(X5)
| p2(sK22(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f31]) ).
fof(f70,plain,
! [X0,X5] :
( ~ p2(sK23(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f71,plain,
! [X0,X5] :
( r1(sK22(X5),sK23(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f72,plain,
! [X0,X5] :
( ~ sP3(X0)
| p2(X5)
| r1(X5,sK22(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f31]) ).
fof(f90,plain,
! [X41,X39,X42] :
( ~ p2(X41)
| p2(X39)
| ~ r1(sK49(X39),X41)
| ~ r1(X41,X42)
| p2(X42)
| ~ r1(sK28,X39) ),
inference(cnf_transformation,[],[f42]) ).
fof(f91,plain,
! [X39] :
( ~ p2(sK49(X39))
| p2(X39)
| ~ r1(sK28,X39) ),
inference(cnf_transformation,[],[f42]) ).
fof(f92,plain,
! [X39] :
( r1(X39,sK49(X39))
| p2(X39)
| ~ r1(sK28,X39) ),
inference(cnf_transformation,[],[f42]) ).
fof(f118,plain,
! [X18,X16,X17] :
( sP7(sK28)
| ~ r1(sK38,X16)
| sP4(X16)
| sP3(X16)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| p2(X18)
| ~ p2(X17) ),
inference(cnf_transformation,[],[f42]) ).
fof(f119,plain,
! [X16] :
( sP7(sK28)
| ~ r1(sK38,X16)
| sP4(X16)
| sP3(X16)
| ~ p2(X16) ),
inference(cnf_transformation,[],[f42]) ).
fof(f120,plain,
! [X14,X15] :
( sP7(sK28)
| sP5(sK38)
| ~ r1(sK38,X14)
| ~ r1(X14,X15)
| p2(X15)
| ~ p2(X14) ),
inference(cnf_transformation,[],[f42]) ).
fof(f121,plain,
( sP7(sK28)
| sP5(sK38)
| ~ p2(sK38) ),
inference(cnf_transformation,[],[f42]) ).
fof(f122,plain,
( sP7(sK28)
| r1(sK28,sK38) ),
inference(cnf_transformation,[],[f42]) ).
fof(f129,plain,
! [X6] :
( p2(sK33(X6))
| p2(X6)
| ~ r1(sK28,X6) ),
inference(cnf_transformation,[],[f42]) ).
fof(f130,plain,
! [X6] :
( ~ p2(sK34(X6))
| p2(X6)
| ~ r1(sK28,X6) ),
inference(cnf_transformation,[],[f42]) ).
fof(f131,plain,
! [X6] :
( r1(sK33(X6),sK34(X6))
| p2(X6)
| ~ r1(sK28,X6) ),
inference(cnf_transformation,[],[f42]) ).
fof(f132,plain,
! [X6] :
( r1(X6,sK33(X6))
| p2(X6)
| ~ r1(sK28,X6) ),
inference(cnf_transformation,[],[f42]) ).
fof(f133,plain,
~ p2(sK32),
inference(cnf_transformation,[],[f42]) ).
fof(f134,plain,
r1(sK28,sK32),
inference(cnf_transformation,[],[f42]) ).
fof(f281,definition,
( spl50_31
<=> ! [X18,X16,X17] :
( ~ r1(sK38,X16)
| ~ p2(X17)
| p2(X18)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| sP3(X16)
| sP4(X16) ) ),
introduced(definition,[new_symbols(definition,[spl50_31])],[avatar_definition]) ).
fof(f282,plain,
( ! [X18,X16,X17] :
( sP4(X16)
| ~ p2(X17)
| p2(X18)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| sP3(X16)
| ~ r1(sK38,X16) )
| ~ spl50_31 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f284,definition,
( spl50_32
<=> sP7(sK28) ),
introduced(definition,[new_symbols(definition,[spl50_32])],[avatar_definition]) ).
fof(f286,plain,
( sP7(sK28)
| ~ spl50_32 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f287,plain,
( spl50_31
| spl50_32 ),
inference(avatar_split_clause,[],[f118,f284,f281]) ).
fof(f289,definition,
( spl50_33
<=> ! [X16] :
( ~ r1(sK38,X16)
| ~ p2(X16)
| sP3(X16)
| sP4(X16) ) ),
introduced(definition,[new_symbols(definition,[spl50_33])],[avatar_definition]) ).
fof(f290,plain,
( ! [X16] :
( sP4(X16)
| ~ p2(X16)
| sP3(X16)
| ~ r1(sK38,X16) )
| ~ spl50_33 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f291,plain,
( spl50_33
| spl50_32 ),
inference(avatar_split_clause,[],[f119,f284,f289]) ).
fof(f293,definition,
( spl50_34
<=> ! [X14,X15] :
( ~ r1(sK38,X14)
| ~ p2(X14)
| p2(X15)
| ~ r1(X14,X15) ) ),
introduced(definition,[new_symbols(definition,[spl50_34])],[avatar_definition]) ).
fof(f294,plain,
( ! [X14,X15] :
( ~ p2(X14)
| ~ r1(sK38,X14)
| p2(X15)
| ~ r1(X14,X15) )
| ~ spl50_34 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f296,definition,
( spl50_35
<=> sP5(sK38) ),
introduced(definition,[new_symbols(definition,[spl50_35])],[avatar_definition]) ).
fof(f298,plain,
( sP5(sK38)
| ~ spl50_35 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f299,plain,
( spl50_34
| spl50_35
| spl50_32 ),
inference(avatar_split_clause,[],[f120,f284,f296,f293]) ).
fof(f301,definition,
( spl50_36
<=> p2(sK38) ),
introduced(definition,[new_symbols(definition,[spl50_36])],[avatar_definition]) ).
fof(f303,plain,
( ~ p2(sK38)
| spl50_36 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f304,plain,
( ~ spl50_36
| spl50_35
| spl50_32 ),
inference(avatar_split_clause,[],[f121,f284,f296,f301]) ).
fof(f306,definition,
( spl50_37
<=> r1(sK28,sK38) ),
introduced(definition,[new_symbols(definition,[spl50_37])],[avatar_definition]) ).
fof(f308,plain,
( r1(sK28,sK38)
| ~ spl50_37 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f309,plain,
( spl50_37
| spl50_32 ),
inference(avatar_split_clause,[],[f122,f284,f306]) ).
fof(f339,definition,
( spl50_41
<=> ! [X1] :
( ~ r1(sK28,X1)
| p2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl50_41])],[avatar_definition]) ).
fof(f340,plain,
( ! [X1] :
( ~ r1(sK28,X1)
| p2(X1) )
| ~ spl50_41 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f345,plain,
( ! [X0,X1] :
( ~ r1(sK38,sK33(X0))
| p2(X1)
| ~ r1(sK33(X0),X1)
| p2(X0)
| ~ r1(sK28,X0) )
| ~ spl50_34 ),
inference(resolution,[],[f294,f129]) ).
fof(f347,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK33(sK38),X0)
| p2(sK38)
| ~ r1(sK28,sK38)
| p2(sK38)
| ~ r1(sK28,sK38) )
| ~ spl50_34 ),
inference(resolution,[],[f345,f132]) ).
fof(f348,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK33(sK38),X0)
| p2(sK38)
| ~ r1(sK28,sK38) )
| ~ spl50_34 ),
inference(duplicate_literal_removal,[],[f347]) ).
fof(f349,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK33(sK38),X0)
| ~ r1(sK28,sK38) )
| ~ spl50_34
| spl50_36 ),
inference(forward_subsumption_resolution,[],[f348,f303]) ).
fof(f350,plain,
( ! [X0] :
( ~ r1(sK33(sK38),X0)
| p2(X0) )
| ~ spl50_34
| spl50_36
| ~ spl50_37 ),
inference(forward_subsumption_resolution,[],[f349,f308]) ).
fof(f351,plain,
( p2(sK34(sK38))
| p2(sK38)
| ~ r1(sK28,sK38)
| ~ spl50_34
| spl50_36
| ~ spl50_37 ),
inference(resolution,[],[f350,f131]) ).
fof(f379,plain,
( p2(sK38)
| ~ r1(sK28,sK38)
| ~ spl50_34
| spl50_36
| ~ spl50_37 ),
inference(forward_subsumption_resolution,[],[f351,f130]) ).
fof(f385,plain,
( ~ r1(sK28,sK38)
| ~ spl50_34
| spl50_36
| ~ spl50_37 ),
inference(forward_subsumption_resolution,[],[f379,f303]) ).
fof(f386,plain,
( $false
| ~ spl50_34
| spl50_36
| ~ spl50_37 ),
inference(forward_subsumption_resolution,[],[f385,f308]) ).
fof(f387,plain,
( ~ spl50_34
| spl50_36
| ~ spl50_37 ),
inference(avatar_contradiction_clause,[],[f386]) ).
fof(f388,plain,
( r1(sK38,sK13(sK38))
| ~ spl50_35 ),
inference(resolution,[],[f298,f61]) ).
fof(f391,plain,
( ! [X0] :
( r1(X0,sK15(X0))
| p2(X0)
| ~ r1(sK38,X0) )
| ~ spl50_35 ),
inference(resolution,[],[f57,f298]) ).
fof(f453,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK14(sK38),X0) )
| ~ spl50_35 ),
inference(resolution,[],[f58,f298]) ).
fof(f456,plain,
( ! [X2,X0,X1] :
( ~ r1(sK14(sK38),sK18(X1))
| ~ r1(sK18(X1),X0)
| p2(X0)
| p2(X1)
| ~ r1(X2,X1)
| ~ sP4(X2) )
| ~ spl50_35 ),
inference(resolution,[],[f453,f62]) ).
fof(f473,definition,
( spl50_59
<=> p2(sK14(sK38)) ),
introduced(definition,[new_symbols(definition,[spl50_59])],[avatar_definition]) ).
fof(f475,plain,
( p2(sK14(sK38))
| ~ spl50_59 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f493,plain,
( ! [X2,X0,X1] :
( ~ r1(sK18(sK14(sK38)),X0)
| p2(X0)
| p2(sK14(sK38))
| ~ r1(X1,sK14(sK38))
| ~ sP4(X1)
| p2(sK14(sK38))
| ~ r1(X2,sK14(sK38))
| ~ sP4(X2) )
| ~ spl50_35 ),
inference(resolution,[],[f456,f65]) ).
fof(f494,plain,
( ! [X2,X0,X1] :
( ~ r1(sK18(sK14(sK38)),X0)
| p2(X0)
| p2(sK14(sK38))
| ~ r1(X1,sK14(sK38))
| ~ sP4(X1)
| ~ r1(X2,sK14(sK38))
| ~ sP4(X2) )
| ~ spl50_35 ),
inference(duplicate_literal_removal,[],[f493]) ).
fof(f496,definition,
( spl50_64
<=> ! [X2] :
( ~ r1(X2,sK14(sK38))
| ~ sP4(X2) ) ),
introduced(definition,[new_symbols(definition,[spl50_64])],[avatar_definition]) ).
fof(f497,plain,
( ! [X2] :
( ~ r1(X2,sK14(sK38))
| ~ sP4(X2) )
| ~ spl50_64 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f499,definition,
( spl50_65
<=> ! [X0] :
( ~ r1(sK18(sK14(sK38)),X0)
| p2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl50_65])],[avatar_definition]) ).
fof(f500,plain,
( ! [X0] :
( ~ r1(sK18(sK14(sK38)),X0)
| p2(X0) )
| ~ spl50_65 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f501,plain,
( spl50_64
| spl50_64
| spl50_59
| spl50_65
| ~ spl50_35 ),
inference(avatar_split_clause,[],[f494,f296,f499,f473,f496,f496]) ).
fof(f502,plain,
( ~ sP4(sK13(sK38))
| ~ sP5(sK38)
| ~ spl50_64 ),
inference(resolution,[],[f497,f60]) ).
fof(f503,plain,
( ~ sP4(sK13(sK38))
| ~ spl50_35
| ~ spl50_64 ),
inference(forward_subsumption_resolution,[],[f502,f298]) ).
fof(f505,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK13(sK38),X0)
| sP3(sK13(sK38))
| ~ r1(sK38,sK13(sK38)) )
| ~ spl50_31
| ~ spl50_35
| ~ spl50_64 ),
inference(resolution,[],[f503,f282]) ).
fof(f506,plain,
( ~ p2(sK13(sK38))
| sP3(sK13(sK38))
| ~ r1(sK38,sK13(sK38))
| ~ spl50_33
| ~ spl50_35
| ~ spl50_64 ),
inference(resolution,[],[f503,f290]) ).
fof(f507,plain,
( ~ p2(sK13(sK38))
| sP3(sK13(sK38))
| ~ spl50_33
| ~ spl50_35
| ~ spl50_64 ),
inference(forward_subsumption_resolution,[],[f506,f388]) ).
fof(f508,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK13(sK38),X0)
| sP3(sK13(sK38)) )
| ~ spl50_31
| ~ spl50_35
| ~ spl50_64 ),
inference(forward_subsumption_resolution,[],[f505,f388]) ).
fof(f510,definition,
( spl50_66
<=> sP3(sK13(sK38)) ),
introduced(definition,[new_symbols(definition,[spl50_66])],[avatar_definition]) ).
fof(f512,plain,
( sP3(sK13(sK38))
| ~ spl50_66 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f514,definition,
( spl50_67
<=> p2(sK13(sK38)) ),
introduced(definition,[new_symbols(definition,[spl50_67])],[avatar_definition]) ).
fof(f516,plain,
( ~ p2(sK13(sK38))
| spl50_67 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f517,plain,
( spl50_66
| ~ spl50_67
| ~ spl50_33
| ~ spl50_35
| ~ spl50_64 ),
inference(avatar_split_clause,[],[f507,f496,f296,f289,f514,f510]) ).
fof(f519,definition,
( spl50_68
<=> ! [X0,X1] :
( ~ p2(X0)
| ~ r1(sK13(sK38),X0)
| ~ r1(X0,X1)
| p2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl50_68])],[avatar_definition]) ).
fof(f520,plain,
( ! [X0,X1] :
( ~ p2(X0)
| ~ r1(sK13(sK38),X0)
| ~ r1(X0,X1)
| p2(X1) )
| ~ spl50_68 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f523,plain,
( ! [X2,X0,X1] :
( ~ r1(sK13(sK38),sK15(X0))
| ~ r1(sK15(X0),X1)
| p2(X1)
| p2(X0)
| ~ r1(X2,X0)
| ~ sP5(X2) )
| ~ spl50_68 ),
inference(resolution,[],[f520,f54]) ).
fof(f543,plain,
( ! [X0,X1] :
( ~ r1(sK15(sK13(sK38)),X0)
| p2(X0)
| p2(sK13(sK38))
| ~ r1(X1,sK13(sK38))
| ~ sP5(X1)
| p2(sK13(sK38))
| ~ r1(sK38,sK13(sK38)) )
| ~ spl50_35
| ~ spl50_68 ),
inference(resolution,[],[f523,f391]) ).
fof(f544,plain,
( ! [X0,X1] :
( ~ r1(sK15(sK13(sK38)),X0)
| p2(X0)
| p2(sK13(sK38))
| ~ r1(X1,sK13(sK38))
| ~ sP5(X1)
| ~ r1(sK38,sK13(sK38)) )
| ~ spl50_35
| ~ spl50_68 ),
inference(duplicate_literal_removal,[],[f543]) ).
fof(f545,plain,
( ! [X0,X1] :
( ~ r1(sK15(sK13(sK38)),X0)
| p2(X0)
| ~ r1(X1,sK13(sK38))
| ~ sP5(X1)
| ~ r1(sK38,sK13(sK38)) )
| ~ spl50_35
| spl50_67
| ~ spl50_68 ),
inference(forward_subsumption_resolution,[],[f544,f516]) ).
fof(f546,plain,
( ! [X0,X1] :
( ~ r1(sK15(sK13(sK38)),X0)
| p2(X0)
| ~ r1(X1,sK13(sK38))
| ~ sP5(X1) )
| ~ spl50_35
| spl50_67
| ~ spl50_68 ),
inference(forward_subsumption_resolution,[],[f545,f388]) ).
fof(f548,definition,
( spl50_72
<=> ! [X1] :
( ~ r1(X1,sK13(sK38))
| ~ sP5(X1) ) ),
introduced(definition,[new_symbols(definition,[spl50_72])],[avatar_definition]) ).
fof(f549,plain,
( ! [X1] :
( ~ sP5(X1)
| ~ r1(X1,sK13(sK38)) )
| ~ spl50_72 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f551,definition,
( spl50_73
<=> ! [X0] :
( ~ r1(sK15(sK13(sK38)),X0)
| p2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl50_73])],[avatar_definition]) ).
fof(f552,plain,
( ! [X0] :
( ~ r1(sK15(sK13(sK38)),X0)
| p2(X0) )
| ~ spl50_73 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f553,plain,
( spl50_72
| spl50_73
| ~ spl50_35
| spl50_67
| ~ spl50_68 ),
inference(avatar_split_clause,[],[f546,f519,f514,f296,f551,f548]) ).
fof(f554,plain,
( ~ r1(sK38,sK13(sK38))
| ~ spl50_35
| ~ spl50_72 ),
inference(resolution,[],[f549,f298]) ).
fof(f555,plain,
( $false
| ~ spl50_35
| ~ spl50_72 ),
inference(forward_subsumption_resolution,[],[f554,f388]) ).
fof(f556,plain,
( ~ spl50_35
| ~ spl50_72 ),
inference(avatar_contradiction_clause,[],[f555]) ).
fof(f557,plain,
( ! [X0] :
( p2(sK19(sK14(sK38)))
| p2(sK14(sK38))
| ~ r1(X0,sK14(sK38))
| ~ sP4(X0) )
| ~ spl50_65 ),
inference(resolution,[],[f500,f64]) ).
fof(f603,plain,
( ! [X0] :
( p2(sK14(sK38))
| ~ r1(X0,sK14(sK38))
| ~ sP4(X0) )
| ~ spl50_65 ),
inference(forward_subsumption_resolution,[],[f557,f63]) ).
fof(f616,plain,
( spl50_64
| spl50_59
| ~ spl50_65 ),
inference(avatar_split_clause,[],[f603,f499,f473,f496]) ).
fof(f618,plain,
( spl50_66
| spl50_68
| ~ spl50_31
| ~ spl50_35
| ~ spl50_64 ),
inference(avatar_split_clause,[],[f508,f496,f296,f281,f519,f510]) ).
fof(f637,plain,
( ! [X0] :
( r1(X0,sK22(X0))
| p2(X0)
| ~ r1(sK13(sK38),X0) )
| ~ spl50_66 ),
inference(resolution,[],[f512,f72]) ).
fof(f638,plain,
( ! [X0] :
( p2(sK22(X0))
| p2(X0)
| ~ r1(sK13(sK38),X0) )
| ~ spl50_66 ),
inference(resolution,[],[f512,f69]) ).
fof(f721,plain,
( ! [X0,X1] :
( ~ r1(sK14(sK38),sK22(X0))
| ~ r1(sK13(sK38),X0)
| p2(X1)
| ~ r1(sK22(X0),X1)
| p2(X0) )
| ~ spl50_35
| ~ spl50_66 ),
inference(resolution,[],[f638,f453]) ).
fof(f814,plain,
( ! [X0] :
( ~ r1(sK13(sK38),sK14(sK38))
| p2(X0)
| ~ r1(sK22(sK14(sK38)),X0)
| p2(sK14(sK38))
| p2(sK14(sK38))
| ~ r1(sK13(sK38),sK14(sK38)) )
| ~ spl50_35
| ~ spl50_66 ),
inference(resolution,[],[f721,f637]) ).
fof(f815,plain,
( ! [X0] :
( ~ r1(sK13(sK38),sK14(sK38))
| p2(X0)
| ~ r1(sK22(sK14(sK38)),X0)
| p2(sK14(sK38)) )
| ~ spl50_35
| ~ spl50_66 ),
inference(duplicate_literal_removal,[],[f814]) ).
fof(f818,definition,
( spl50_113
<=> ! [X0] :
( p2(X0)
| ~ r1(sK22(sK14(sK38)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl50_113])],[avatar_definition]) ).
fof(f819,plain,
( ! [X0] :
( ~ r1(sK22(sK14(sK38)),X0)
| p2(X0) )
| ~ spl50_113 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f821,definition,
( spl50_114
<=> r1(sK13(sK38),sK14(sK38)) ),
introduced(definition,[new_symbols(definition,[spl50_114])],[avatar_definition]) ).
fof(f822,plain,
( r1(sK13(sK38),sK14(sK38))
| ~ spl50_114 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f823,plain,
( ~ r1(sK13(sK38),sK14(sK38))
| spl50_114 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f824,plain,
( spl50_59
| spl50_113
| ~ spl50_114
| ~ spl50_35
| ~ spl50_66 ),
inference(avatar_split_clause,[],[f815,f510,f296,f821,f818,f473]) ).
fof(f831,plain,
( ~ sP5(sK38)
| spl50_114 ),
inference(resolution,[],[f823,f60]) ).
fof(f832,plain,
( $false
| ~ spl50_35
| spl50_114 ),
inference(forward_subsumption_resolution,[],[f831,f298]) ).
fof(f833,plain,
( ~ spl50_35
| spl50_114 ),
inference(avatar_contradiction_clause,[],[f832]) ).
fof(f894,plain,
( ! [X0] :
( p2(sK23(sK14(sK38)))
| p2(sK14(sK38))
| ~ r1(X0,sK14(sK38))
| ~ sP3(X0) )
| ~ spl50_113 ),
inference(resolution,[],[f819,f71]) ).
fof(f954,plain,
( ! [X0] :
( p2(sK14(sK38))
| ~ r1(X0,sK14(sK38))
| ~ sP3(X0) )
| ~ spl50_113 ),
inference(forward_subsumption_resolution,[],[f894,f70]) ).
fof(f968,definition,
( spl50_141
<=> ! [X0] :
( ~ r1(X0,sK14(sK38))
| ~ sP3(X0) ) ),
introduced(definition,[new_symbols(definition,[spl50_141])],[avatar_definition]) ).
fof(f969,plain,
( ! [X0] :
( ~ sP3(X0)
| ~ r1(X0,sK14(sK38)) )
| ~ spl50_141 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f970,plain,
( spl50_141
| spl50_59
| ~ spl50_113 ),
inference(avatar_split_clause,[],[f954,f818,f473,f968]) ).
fof(f980,plain,
( ~ r1(sK13(sK38),sK14(sK38))
| ~ spl50_66
| ~ spl50_141 ),
inference(resolution,[],[f969,f512]) ).
fof(f981,plain,
( $false
| ~ spl50_66
| ~ spl50_114
| ~ spl50_141 ),
inference(forward_subsumption_resolution,[],[f980,f822]) ).
fof(f982,plain,
( ~ spl50_66
| ~ spl50_114
| ~ spl50_141 ),
inference(avatar_contradiction_clause,[],[f981]) ).
fof(f985,plain,
( ! [X0] :
( p2(sK16(sK13(sK38)))
| p2(sK13(sK38))
| ~ r1(X0,sK13(sK38))
| ~ sP5(X0) )
| ~ spl50_73 ),
inference(resolution,[],[f552,f56]) ).
fof(f1044,plain,
( ! [X0] :
( p2(sK13(sK38))
| ~ r1(X0,sK13(sK38))
| ~ sP5(X0) )
| ~ spl50_73 ),
inference(forward_subsumption_resolution,[],[f985,f55]) ).
fof(f1057,plain,
( ! [X0] :
( ~ r1(X0,sK13(sK38))
| ~ sP5(X0) )
| spl50_67
| ~ spl50_73 ),
inference(forward_subsumption_resolution,[],[f1044,f516]) ).
fof(f1058,plain,
( spl50_72
| spl50_67
| ~ spl50_73 ),
inference(avatar_split_clause,[],[f1057,f551,f514,f548]) ).
fof(f1059,plain,
( ! [X0,X1] :
( ~ r1(sK8(sK28),X0)
| ~ r1(X0,X1)
| p2(X1)
| ~ p2(X0)
| sP6(sK28) )
| ~ spl50_32 ),
inference(resolution,[],[f286,f47]) ).
fof(f1060,plain,
( r1(sK28,sK8(sK28))
| sP6(sK28)
| ~ spl50_32 ),
inference(resolution,[],[f286,f49]) ).
fof(f1063,definition,
( spl50_156
<=> sP6(sK28) ),
introduced(definition,[new_symbols(definition,[spl50_156])],[avatar_definition]) ).
fof(f1064,plain,
( ~ sP6(sK28)
| spl50_156 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f1065,plain,
( sP6(sK28)
| ~ spl50_156 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f1067,definition,
( spl50_157
<=> r1(sK28,sK8(sK28)) ),
introduced(definition,[new_symbols(definition,[spl50_157])],[avatar_definition]) ).
fof(f1069,plain,
( r1(sK28,sK8(sK28))
| ~ spl50_157 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1070,plain,
( spl50_156
| spl50_157
| ~ spl50_32 ),
inference(avatar_split_clause,[],[f1060,f284,f1067,f1063]) ).
fof(f1072,definition,
( spl50_158
<=> ! [X0,X1] :
( ~ r1(sK8(sK28),X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl50_158])],[avatar_definition]) ).
fof(f1073,plain,
( ! [X0,X1] :
( ~ p2(X0)
| ~ r1(sK8(sK28),X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl50_158 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f1074,plain,
( spl50_156
| spl50_158
| ~ spl50_32 ),
inference(avatar_split_clause,[],[f1059,f284,f1072,f1063]) ).
fof(f1075,plain,
( ! [X0,X1] :
( r1(X1,sK11(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK28,X0) )
| ~ spl50_156 ),
inference(resolution,[],[f1065,f53]) ).
fof(f1076,plain,
( ! [X0,X1] :
( p2(sK11(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK28,X0) )
| ~ spl50_156 ),
inference(resolution,[],[f1065,f50]) ).
fof(f1098,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(sK49(X2),sK11(X0))
| ~ r1(X1,X0)
| ~ r1(sK28,X1)
| p2(X2)
| p2(X0)
| ~ r1(sK11(X0),X3)
| p2(X3)
| ~ r1(sK28,X2) )
| ~ spl50_156 ),
inference(resolution,[],[f1076,f90]) ).
fof(f1139,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0,sK49(X1))
| ~ r1(sK28,X0)
| p2(X1)
| p2(sK49(X1))
| ~ r1(sK11(sK49(X1)),X2)
| p2(X2)
| ~ r1(sK28,X1)
| p2(sK49(X1))
| ~ r1(X3,sK49(X1))
| ~ r1(sK28,X3) )
| ~ spl50_156 ),
inference(resolution,[],[f1098,f1075]) ).
fof(f1140,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0,sK49(X1))
| ~ r1(sK28,X0)
| p2(X1)
| p2(sK49(X1))
| ~ r1(sK11(sK49(X1)),X2)
| p2(X2)
| ~ r1(sK28,X1)
| ~ r1(X3,sK49(X1))
| ~ r1(sK28,X3) )
| ~ spl50_156 ),
inference(duplicate_literal_removal,[],[f1139]) ).
fof(f1141,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0,sK49(X1))
| ~ r1(sK28,X0)
| p2(X1)
| ~ r1(sK11(sK49(X1)),X2)
| p2(X2)
| ~ r1(sK28,X1)
| ~ r1(X3,sK49(X1))
| ~ r1(sK28,X3) )
| ~ spl50_156 ),
inference(forward_subsumption_resolution,[],[f1140,f91]) ).
fof(f1219,plain,
( ! [X2,X0,X1] :
( ~ r1(sK28,X0)
| p2(X0)
| ~ r1(sK11(sK49(X0)),X1)
| p2(X1)
| ~ r1(sK28,X0)
| ~ r1(X2,sK49(X0))
| ~ r1(sK28,X2)
| p2(X0)
| ~ r1(sK28,X0) )
| ~ spl50_156 ),
inference(resolution,[],[f1141,f92]) ).
fof(f1220,plain,
( ! [X2,X0,X1] :
( ~ r1(X2,sK49(X0))
| p2(X0)
| ~ r1(sK11(sK49(X0)),X1)
| p2(X1)
| ~ r1(sK28,X0)
| ~ r1(sK28,X2) )
| ~ spl50_156 ),
inference(duplicate_literal_removal,[],[f1219]) ).
fof(f1242,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK11(sK49(X0)),X1)
| p2(X1)
| ~ r1(sK28,X0)
| ~ r1(sK28,X0)
| p2(X0)
| ~ r1(sK28,X0) )
| ~ spl50_156 ),
inference(resolution,[],[f1220,f92]) ).
fof(f1243,plain,
( ! [X0,X1] :
( ~ r1(sK11(sK49(X0)),X1)
| p2(X0)
| p2(X1)
| ~ r1(sK28,X0) )
| ~ spl50_156 ),
inference(duplicate_literal_removal,[],[f1242]) ).
fof(f1319,plain,
( ! [X2,X0,X1] :
( p2(X0)
| p2(sK12(sK49(X0)))
| ~ r1(sK28,X0)
| ~ r1(X1,sK49(X0))
| p2(sK49(X0))
| ~ r1(X2,X1)
| ~ sP6(X2) )
| ~ spl50_156 ),
inference(resolution,[],[f1243,f52]) ).
fof(f1333,plain,
( ! [X2,X0,X1] :
( ~ sP6(X2)
| p2(sK12(sK49(X0)))
| ~ r1(sK28,X0)
| ~ r1(X1,sK49(X0))
| ~ r1(X2,X1)
| p2(X0) )
| ~ spl50_156 ),
inference(forward_subsumption_resolution,[],[f1319,f91]) ).
fof(f1397,plain,
( ! [X0,X1] :
( ~ r1(X1,sK49(X0))
| ~ r1(sK28,X0)
| p2(sK12(sK49(X0)))
| ~ r1(sK28,X1)
| p2(X0) )
| ~ spl50_156 ),
inference(resolution,[],[f1333,f1065]) ).
fof(f1398,plain,
( ! [X0] :
( ~ r1(sK28,X0)
| p2(sK12(sK49(X0)))
| ~ r1(sK28,X0)
| p2(X0)
| p2(X0)
| ~ r1(sK28,X0) )
| ~ spl50_156 ),
inference(resolution,[],[f1397,f92]) ).
fof(f1399,plain,
( ! [X0] :
( p2(sK12(sK49(X0)))
| ~ r1(sK28,X0)
| p2(X0) )
| ~ spl50_156 ),
inference(duplicate_literal_removal,[],[f1398]) ).
fof(f1400,plain,
( ! [X2,X0,X1] :
( ~ r1(sK28,X0)
| p2(X0)
| ~ r1(X1,sK49(X0))
| p2(sK49(X0))
| ~ r1(X2,X1)
| ~ sP6(X2) )
| ~ spl50_156 ),
inference(resolution,[],[f1399,f51]) ).
fof(f1405,plain,
( ! [X2,X0,X1] :
( ~ sP6(X2)
| p2(X0)
| ~ r1(X1,sK49(X0))
| ~ r1(X2,X1)
| ~ r1(sK28,X0) )
| ~ spl50_156 ),
inference(forward_subsumption_resolution,[],[f1400,f91]) ).
fof(f1406,plain,
( ! [X0,X1] :
( ~ r1(X1,sK49(X0))
| p2(X0)
| ~ r1(sK28,X1)
| ~ r1(sK28,X0) )
| ~ spl50_156 ),
inference(resolution,[],[f1405,f1065]) ).
fof(f1407,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK28,X0)
| ~ r1(sK28,X0)
| p2(X0)
| ~ r1(sK28,X0) )
| ~ spl50_156 ),
inference(resolution,[],[f1406,f92]) ).
fof(f1408,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK28,X0) )
| ~ spl50_156 ),
inference(duplicate_literal_removal,[],[f1407]) ).
fof(f1409,plain,
( spl50_41
| ~ spl50_156 ),
inference(avatar_split_clause,[],[f1408,f1063,f339]) ).
fof(f1412,plain,
( p2(sK32)
| ~ spl50_41 ),
inference(resolution,[],[f340,f134]) ).
fof(f1437,plain,
( $false
| ~ spl50_41 ),
inference(forward_subsumption_resolution,[],[f1412,f133]) ).
fof(f1438,plain,
~ spl50_41,
inference(avatar_contradiction_clause,[],[f1437]) ).
fof(f1447,plain,
( ! [X0,X1] :
( ~ r1(sK8(sK28),sK33(X0))
| p2(X1)
| ~ r1(sK33(X0),X1)
| p2(X0)
| ~ r1(sK28,X0) )
| ~ spl50_158 ),
inference(resolution,[],[f1073,f129]) ).
fof(f1464,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK33(sK8(sK28)),X0)
| p2(sK8(sK28))
| ~ r1(sK28,sK8(sK28))
| p2(sK8(sK28))
| ~ r1(sK28,sK8(sK28)) )
| ~ spl50_158 ),
inference(resolution,[],[f1447,f132]) ).
fof(f1465,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK33(sK8(sK28)),X0)
| p2(sK8(sK28))
| ~ r1(sK28,sK8(sK28)) )
| ~ spl50_158 ),
inference(duplicate_literal_removal,[],[f1464]) ).
fof(f1466,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK33(sK8(sK28)),X0)
| p2(sK8(sK28)) )
| ~ spl50_157
| ~ spl50_158 ),
inference(forward_subsumption_resolution,[],[f1465,f1069]) ).
fof(f1468,definition,
( spl50_214
<=> p2(sK8(sK28)) ),
introduced(definition,[new_symbols(definition,[spl50_214])],[avatar_definition]) ).
fof(f1470,plain,
( p2(sK8(sK28))
| ~ spl50_214 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f1472,definition,
( spl50_215
<=> ! [X0] :
( p2(X0)
| ~ r1(sK33(sK8(sK28)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl50_215])],[avatar_definition]) ).
fof(f1473,plain,
( ! [X0] :
( ~ r1(sK33(sK8(sK28)),X0)
| p2(X0) )
| ~ spl50_215 ),
inference(avatar_component_clause,[],[f1472]) ).
fof(f1474,plain,
( spl50_214
| spl50_215
| ~ spl50_157
| ~ spl50_158 ),
inference(avatar_split_clause,[],[f1466,f1072,f1067,f1472,f1468]) ).
fof(f1475,plain,
( p2(sK34(sK8(sK28)))
| p2(sK8(sK28))
| ~ r1(sK28,sK8(sK28))
| ~ spl50_215 ),
inference(resolution,[],[f1473,f131]) ).
fof(f1534,plain,
( p2(sK8(sK28))
| ~ r1(sK28,sK8(sK28))
| ~ spl50_215 ),
inference(forward_subsumption_resolution,[],[f1475,f130]) ).
fof(f1547,plain,
( p2(sK8(sK28))
| ~ spl50_157
| ~ spl50_215 ),
inference(forward_subsumption_resolution,[],[f1534,f1069]) ).
fof(f1548,plain,
( spl50_214
| ~ spl50_157
| ~ spl50_215 ),
inference(avatar_split_clause,[],[f1547,f1472,f1067,f1468]) ).
fof(f1551,plain,
( sP6(sK28)
| ~ sP7(sK28)
| ~ spl50_214 ),
inference(resolution,[],[f1470,f48]) ).
fof(f1583,plain,
( ~ sP7(sK28)
| spl50_156
| ~ spl50_214 ),
inference(forward_subsumption_resolution,[],[f1551,f1064]) ).
fof(f1584,plain,
( $false
| ~ spl50_32
| spl50_156
| ~ spl50_214 ),
inference(forward_subsumption_resolution,[],[f1583,f286]) ).
fof(f1585,plain,
( ~ spl50_32
| spl50_156
| ~ spl50_214 ),
inference(avatar_contradiction_clause,[],[f1584]) ).
fof(f1586,plain,
( ~ sP5(sK38)
| ~ spl50_59 ),
inference(resolution,[],[f475,f59]) ).
fof(f1614,plain,
( $false
| ~ spl50_35
| ~ spl50_59 ),
inference(forward_subsumption_resolution,[],[f1586,f298]) ).
fof(f1615,plain,
( ~ spl50_35
| ~ spl50_59 ),
inference(avatar_contradiction_clause,[],[f1614]) ).
cnf(s26,plain,
( spl50_31
| spl50_32 ),
inference(sat_conversion,[],[f287]) ).
cnf(s27,plain,
( spl50_32
| spl50_33 ),
inference(sat_conversion,[],[f291]) ).
cnf(s28,plain,
( spl50_32
| spl50_34
| spl50_35 ),
inference(sat_conversion,[],[f299]) ).
cnf(s29,plain,
( spl50_32
| spl50_35
| ~ spl50_36 ),
inference(sat_conversion,[],[f304]) ).
cnf(s30,plain,
( spl50_32
| spl50_37 ),
inference(sat_conversion,[],[f309]) ).
cnf(s40,plain,
( ~ spl50_34
| spl50_36
| ~ spl50_37 ),
inference(sat_conversion,[],[f387]) ).
cnf(s48,plain,
( spl50_64
| spl50_59
| ~ spl50_35
| spl50_64
| spl50_65 ),
inference(sat_conversion,[],[f501]) ).
cnf(s49,plain,
( ~ spl50_35
| spl50_59
| spl50_64
| spl50_65 ),
inference(rat,[],[s48]) ).
cnf(s50,plain,
( ~ spl50_33
| ~ spl50_35
| ~ spl50_64
| spl50_66
| ~ spl50_67 ),
inference(sat_conversion,[],[f517]) ).
cnf(s54,plain,
( ~ spl50_35
| spl50_67
| ~ spl50_68
| spl50_72
| spl50_73 ),
inference(sat_conversion,[],[f553]) ).
cnf(s55,plain,
( ~ spl50_35
| ~ spl50_72 ),
inference(sat_conversion,[],[f556]) ).
cnf(s61,plain,
( spl50_59
| spl50_64
| ~ spl50_65 ),
inference(sat_conversion,[],[f616]) ).
cnf(s62,plain,
( ~ spl50_31
| ~ spl50_35
| ~ spl50_64
| spl50_66
| spl50_68 ),
inference(sat_conversion,[],[f618]) ).
cnf(s79,plain,
( ~ spl50_35
| spl50_59
| ~ spl50_66
| spl50_113
| ~ spl50_114 ),
inference(sat_conversion,[],[f824]) ).
cnf(s81,plain,
( ~ spl50_35
| spl50_114 ),
inference(sat_conversion,[],[f833]) ).
cnf(s94,plain,
( spl50_59
| ~ spl50_113
| spl50_141 ),
inference(sat_conversion,[],[f970]) ).
cnf(s95,plain,
( ~ spl50_66
| ~ spl50_114
| ~ spl50_141 ),
inference(sat_conversion,[],[f982]) ).
cnf(s103,plain,
( spl50_67
| spl50_72
| ~ spl50_73 ),
inference(sat_conversion,[],[f1058]) ).
cnf(s104,plain,
( ~ spl50_32
| spl50_156
| spl50_157 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s105,plain,
( ~ spl50_32
| spl50_156
| spl50_158 ),
inference(sat_conversion,[],[f1074]) ).
cnf(s138,plain,
( spl50_41
| ~ spl50_156 ),
inference(sat_conversion,[],[f1409]) ).
cnf(s140,plain,
~ spl50_41,
inference(sat_conversion,[],[f1438]) ).
cnf(s144,plain,
( ~ spl50_157
| ~ spl50_158
| spl50_214
| spl50_215 ),
inference(sat_conversion,[],[f1474]) ).
cnf(s151,plain,
( ~ spl50_157
| spl50_214
| ~ spl50_215 ),
inference(sat_conversion,[],[f1548]) ).
cnf(s157,plain,
( ~ spl50_32
| spl50_156
| ~ spl50_214 ),
inference(sat_conversion,[],[f1585]) ).
cnf(s162,plain,
( ~ spl50_35
| ~ spl50_59 ),
inference(sat_conversion,[],[f1615]) ).
cnf(s164,plain,
~ spl50_156,
inference(rat,[],[s138,s140]) ).
cnf(s165,plain,
( ~ spl50_32
| spl50_158 ),
inference(rat,[],[s105,s164]) ).
cnf(s166,plain,
( ~ spl50_32
| spl50_157 ),
inference(rat,[],[s104,s164]) ).
cnf(s193,plain,
~ spl50_32,
inference(rat,[],[s144,s151,s166,s165,s157,s164]) ).
cnf(s194,plain,
spl50_37,
inference(rat,[],[s30,s193]) ).
cnf(s195,plain,
spl50_33,
inference(rat,[],[s27,s193]) ).
cnf(s196,plain,
spl50_31,
inference(rat,[],[s26,s193]) ).
cnf(s197,plain,
( spl50_64
| ~ spl50_35 ),
inference(rat,[],[s49,s61,s162]) ).
cnf(s198,plain,
( spl50_67
| ~ spl50_68
| ~ spl50_35
| spl50_72 ),
inference(rat,[],[s103,s54]) ).
cnf(s199,plain,
( spl50_66
| ~ spl50_35 ),
inference(rat,[],[s198,s50,s62,s55,s197,s195,s196]) ).
cnf(s200,plain,
~ spl50_35,
inference(rat,[],[s94,s79,s95,s199,s81,s162]) ).
cnf(s201,plain,
~ spl50_36,
inference(rat,[],[s29,s193,s200]) ).
cnf(s202,plain,
spl50_34,
inference(rat,[],[s28,s193,s200]) ).
cnf(s203,plain,
$false,
inference(rat,[],[s40,s194,s201,s202]) ).
fof(f1617,plain,
$false,
inference(avatar_sat_refutation,[],[s203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL642+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 16:10:32 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.99/1.20 % (977917)Detected formulas, will run a generic FOF schedule.
% 3.99/1.20 % (977927)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1606824023:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.99/1.20 % (977926)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2665728306:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.99/1.20 % (977925)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3730430213:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.99/1.20 % (977922)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3643559896:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.99/1.20 % (977928)dis-21_1_sil=8000:lcm=predicate:random_seed=490363831:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.99/1.20 % (977923)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2311294712:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.99/1.20 % (977924)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2874678546:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.99/1.20 % (977927)Instruction limit reached!
% 3.99/1.20 % (977927)------------------------------
% 3.99/1.20 % (977927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.20 % (977927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.20 % (977927)CaDiCaL version: 2.1.3
% 3.99/1.20 % (977927)Termination reason: Instruction limit
% 3.99/1.20 % (977927)Termination phase: Saturation
% 3.99/1.20 % (977927)Time elapsed: 0.038 s
% 3.99/1.20 % (977927)Peak memory usage: 89 MB
% 3.99/1.20 % (977927)Instructions burned: 144 (million)
% 3.99/1.20 % (977925)Instruction limit reached!
% 3.99/1.20 % (977925)------------------------------
% 3.99/1.20 % (977925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.20 % (977925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.20 % (977925)CaDiCaL version: 2.1.3
% 3.99/1.20 % (977925)Termination reason: Instruction limit
% 3.99/1.20 % (977925)Termination phase: Saturation
% 3.99/1.20 % (977925)Time elapsed: 0.058 s
% 3.99/1.20 % (977925)Peak memory usage: 90 MB
% 3.99/1.20 % (977925)Instructions burned: 110 (million)
% 3.99/1.20 % (977926)Instruction limit reached!
% 3.99/1.20 % (977926)------------------------------
% 3.99/1.20 % (977926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.20 % (977926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.20 % (977926)CaDiCaL version: 2.1.3
% 3.99/1.20 % (977926)Termination reason: Instruction limit
% 3.99/1.20 % (977926)Termination phase: Saturation
% 3.99/1.20 % (977926)Time elapsed: 0.060 s
% 3.99/1.20 % (977926)Peak memory usage: 88 MB
% 3.99/1.20 % (977926)Instructions burned: 119 (million)
% 3.99/1.20 % (977928)Instruction limit reached!
% 3.99/1.20 % (977928)------------------------------
% 3.99/1.20 % (977928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.20 % (977928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.20 % (977928)CaDiCaL version: 2.1.3
% 3.99/1.20 % (977928)Termination reason: Instruction limit
% 3.99/1.20 % (977928)Termination phase: Saturation
% 3.99/1.20 % (977928)Time elapsed: 0.063 s
% 3.99/1.20 % (977928)Peak memory usage: 88 MB
% 3.99/1.20 % (977928)Instructions burned: 129 (million)
% 3.99/1.20 % (977936)lrs+10_1_sil=8000:sp=occurrence:random_seed=2009755199:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.99/1.20 % (977938)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1874283052:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 3.99/1.20 % (977937)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1680321471:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 3.99/1.20 % (977937)Refutation not found, incomplete strategy
% 3.99/1.20 % (977937)------------------------------
% 3.99/1.20 % (977937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.20 % (977937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.20 % (977937)CaDiCaL version: 2.1.3
% 4.51/1.20 % (977937)Termination reason: Refutation not found, incomplete strategy
% 4.51/1.20 % (977937)Time elapsed: 0.008 s
% 4.51/1.20 % (977937)Peak memory usage: 89 MB
% 4.51/1.20 % (977937)Instructions burned: 13 (million)
% 4.51/1.20 % (977939)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=829341612:s2a=on:i=248:s2at=1.23:gtg=position_2998 on theBenchmark for (2998ds/248Mi)
% 4.51/1.20 % (977936)Instruction limit reached!
% 4.51/1.20 % (977936)------------------------------
% 4.51/1.20 % (977936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.20 % (977936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.20 % (977936)CaDiCaL version: 2.1.3
% 4.51/1.20 % (977936)Termination reason: Instruction limit
% 4.51/1.20 % (977936)Termination phase: Saturation
% 4.51/1.20 % (977936)Time elapsed: 0.075 s
% 4.51/1.20 % (977936)Peak memory usage: 91 MB
% 4.51/1.20 % (977936)Instructions burned: 287 (million)
% 4.51/1.20 % (977939)Refutation not found, incomplete strategy
% 4.51/1.20 % (977939)------------------------------
% 4.51/1.20 % (977939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.20 % (977939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.20 % (977939)CaDiCaL version: 2.1.3
% 4.51/1.20 % (977939)Termination reason: Refutation not found, incomplete strategy
% 4.51/1.20 % (977939)Time elapsed: 0.009 s
% 4.51/1.20 % (977939)Peak memory usage: 89 MB
% 4.51/1.20 % (977939)Instructions burned: 13 (million)
% 4.51/1.20 % (977938)First to succeed.
% 4.51/1.20 % (977938)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-977917"
% 4.51/1.20 % (977944)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=95197318:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.51/1.20 % (977944)Refutation not found, incomplete strategy
% 4.51/1.20 % (977944)------------------------------
% 4.51/1.20 % (977944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.20 % (977944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.20 % (977944)CaDiCaL version: 2.1.3
% 4.51/1.20 % (977944)Termination reason: Refutation not found, incomplete strategy
% 4.51/1.20 % (977944)Time elapsed: 0.022 s
% 4.51/1.20 % (977944)Peak memory usage: 89 MB
% 4.51/1.20 % (977944)Instructions burned: 72 (million)
% 4.51/1.20 % (977937)------------------------------
% 4.51/1.20 % (977937)------------------------------
% 4.51/1.20 % (977939)------------------------------
% 4.51/1.20 % (977939)------------------------------
% 4.51/1.20 % (977938)Refutation found. Thanks to Tanya!
% 4.51/1.20 % SZS status Theorem for theBenchmark
% 4.51/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 4.61/1.40 % (977938)------------------------------
% 4.61/1.40 % (977938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.40 % (977938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.40 % (977938)CaDiCaL version: 2.1.3
% 4.61/1.40 % (977938)Termination reason: Refutation
% 4.61/1.40 % (977938)Time elapsed: 0.043 s
% 4.61/1.40 % (977938)Peak memory usage: 90 MB
% 4.61/1.40 % (977938)Instructions burned: 67 (million)
% 4.61/1.40 % (977938)------------------------------
% 4.61/1.40 % (977938)------------------------------
% 4.61/1.40 % (977917)Success in time 0.61 s
% 4.61/1.40 % Vampire exiting
%------------------------------------------------------------------------------