%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL660+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 11:54:24 AM UTC 2026
% Result : Theorem 5.12s 1.44s
% Output : Refutation 6.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 43
% Syntax : Number of formulae : 386 ( 14 unt; 41 def)
% Number of atoms : 2768 ( 0 equ)
% Maximal formula atoms : 120 ( 7 avg)
% Number of connectives : 4158 (1776 ~;1972 |; 376 &)
% ( 34 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 47 ( 46 usr; 35 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 5 con; 0-1 aty)
% Number of variables : 955 ( 0 sgn 798 !; 157 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1) )
& ( ! [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)
| p4(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1) )
| ~ p4(X0) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ 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) ) ) ) ) ) )
& ! [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/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1) )
& ( ! [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)
| p4(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1) )
| ~ p4(X0) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ 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) ) ) ) ) ) )
& ! [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)],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1) )
& ( ! [X2] :
( ~ r1(X0,X2)
| p2(X2) )
| ~ ! [X3] :
( ~ r1(X0,X3)
| p2(X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) )
| ~ p2(X4) ) ) ) )
| ! [X6] :
( ~ r1(X0,X6)
| p4(X6) )
| ~ ! [X7] :
( ~ r1(X0,X7)
| p4(X7)
| ~ ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| p4(X9) )
| ~ p4(X8) ) )
| ( ~ ! [X10] :
( ~ r1(X0,X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ~ p3(X11) ) )
& ( ! [X12] :
( ~ r1(X0,X12)
| p2(X12) )
| ~ ! [X13] :
( ~ r1(X0,X13)
| p2(X13)
| ~ ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
| ~ p2(X14) ) ) ) )
| ! [X16] :
( ~ r1(X0,X16)
| p1(X16) )
| ~ ! [X17] :
( ~ r1(X0,X17)
| p1(X17)
| ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p1(X19) )
| ~ p1(X18) ) )
| ~ ( ( ( ( ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21)
| ~ ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23) )
| ~ p2(X22) ) ) )
| ~ ! [X24] :
( ~ r1(X0,X24)
| p2(X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ( p2(X0)
| ~ ! [X27] :
( ~ r1(X0,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p2(X28) )
| ~ p2(X27) ) ) )
| ~ ! [X29] :
( ~ r1(X0,X29)
| ( ( ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31)
| ~ ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| p2(X33) )
| ~ p2(X32) ) ) )
| ~ ! [X34] :
( ~ r1(X29,X34)
| p2(X34)
| ~ ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p2(X36) )
| ~ p2(X35) ) ) )
& ( p2(X29)
| ~ ! [X37] :
( ~ r1(X29,X37)
| ! [X38] :
( ~ r1(X37,X38)
| p2(X38) )
| ~ p2(X37) ) ) )
| ~ ! [X39] :
( ~ r1(X29,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ( ( ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42)
| ~ ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44) )
| ~ p2(X43) ) ) )
| ~ ! [X45] :
( ~ r1(X40,X45)
| p2(X45)
| ~ ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| p2(X47) )
| ~ p2(X46) ) ) )
& ( p2(X40)
| ~ ! [X48] :
( ~ r1(X40,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) ) )
| ~ ( ( ! [X50] :
( ~ r1(X39,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51)
| ~ ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p2(X53) )
| ~ p2(X52) ) ) )
| ~ ! [X54] :
( ~ r1(X39,X54)
| p2(X54)
| ~ ! [X55] :
( ~ r1(X54,X55)
| ! [X56] :
( ~ r1(X55,X56)
| p2(X56) )
| ~ p2(X55) ) ) )
& ( p2(X39)
| ~ ! [X57] :
( ~ r1(X39,X57)
| ! [X58] :
( ~ r1(X57,X58)
| p2(X58) )
| ~ p2(X57) ) ) ) ) ) )
& ! [X59] :
( ~ r1(X0,X59)
| p2(X59)
| ~ ! [X60] :
( ~ r1(X59,X60)
| p2(X60)
| ~ ! [X61] :
( ~ r1(X60,X61)
| ! [X62] :
( ~ r1(X61,X62)
| p2(X62) )
| ~ p2(X61) ) ) ) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1) )
& ( ! [X2] :
( ~ r1(X0,X2)
| p2(X2) )
| ~ ! [X3] :
( ~ r1(X0,X3)
| p2(X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) )
| ~ p2(X4) ) ) ) )
| ! [X6] :
( ~ r1(X0,X6)
| p4(X6) )
| ~ ! [X7] :
( ~ r1(X0,X7)
| p4(X7)
| ~ ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| p4(X9) )
| ~ p4(X8) ) )
| ( ~ ! [X10] :
( ~ r1(X0,X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ~ p3(X11) ) )
& ( ! [X12] :
( ~ r1(X0,X12)
| p2(X12) )
| ~ ! [X13] :
( ~ r1(X0,X13)
| p2(X13)
| ~ ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
| ~ p2(X14) ) ) ) )
| ! [X16] :
( ~ r1(X0,X16)
| p1(X16) )
| ~ ! [X17] :
( ~ r1(X0,X17)
| p1(X17)
| ~ ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p1(X19) )
| ~ p1(X18) ) )
| ~ ( ( ( ( ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21)
| ~ ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23) )
| ~ p2(X22) ) ) )
| ~ ! [X24] :
( ~ r1(X0,X24)
| p2(X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ( p2(X0)
| ~ ! [X27] :
( ~ r1(X0,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p2(X28) )
| ~ p2(X27) ) ) )
| ~ ! [X29] :
( ~ r1(X0,X29)
| ( ( ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31)
| ~ ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| p2(X33) )
| ~ p2(X32) ) ) )
| ~ ! [X34] :
( ~ r1(X29,X34)
| p2(X34)
| ~ ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| p2(X36) )
| ~ p2(X35) ) ) )
& ( p2(X29)
| ~ ! [X37] :
( ~ r1(X29,X37)
| ! [X38] :
( ~ r1(X37,X38)
| p2(X38) )
| ~ p2(X37) ) ) )
| ~ ! [X39] :
( ~ r1(X29,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ( ( ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42)
| ~ ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44) )
| ~ p2(X43) ) ) )
| ~ ! [X45] :
( ~ r1(X40,X45)
| p2(X45)
| ~ ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| p2(X47) )
| ~ p2(X46) ) ) )
& ( p2(X40)
| ~ ! [X48] :
( ~ r1(X40,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) ) )
| ~ ( ( ! [X50] :
( ~ r1(X39,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51)
| ~ ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p2(X53) )
| ~ p2(X52) ) ) )
| ~ ! [X54] :
( ~ r1(X39,X54)
| p2(X54)
| ~ ! [X55] :
( ~ r1(X54,X55)
| ! [X56] :
( ~ r1(X55,X56)
| p2(X56) )
| ~ p2(X55) ) ) )
& ( p2(X39)
| ~ ! [X57] :
( ~ r1(X39,X57)
| ! [X58] :
( ~ r1(X57,X58)
| p2(X58) )
| ~ p2(X57) ) ) ) ) ) )
& ! [X59] :
( ~ r1(X0,X59)
| p2(X59)
| ~ ! [X60] :
( ~ r1(X59,X60)
| p2(X60)
| ~ ! [X61] :
( ~ r1(X60,X61)
| ! [X62] :
( ~ r1(X61,X62)
| p2(X62) )
| ~ p2(X61) ) ) ) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1) )
| ( ? [X2] :
( r1(X0,X2)
& ~ p2(X2) )
& ! [X3] :
( ~ r1(X0,X3)
| p2(X3)
| ? [X4] :
( r1(X3,X4)
& ? [X5] :
( r1(X4,X5)
& ~ p2(X5) )
& p2(X4) ) ) ) )
& ? [X6] :
( r1(X0,X6)
& ~ p4(X6) )
& ! [X7] :
( ~ r1(X0,X7)
| p4(X7)
| ? [X8] :
( r1(X7,X8)
& ? [X9] :
( r1(X8,X9)
& ~ p4(X9) )
& p4(X8) ) )
& ( ! [X10] :
( ~ r1(X0,X10)
| ? [X11] :
( r1(X10,X11)
& p3(X11) ) )
| ( ? [X12] :
( r1(X0,X12)
& ~ p2(X12) )
& ! [X13] :
( ~ r1(X0,X13)
| p2(X13)
| ? [X14] :
( r1(X13,X14)
& ? [X15] :
( r1(X14,X15)
& ~ p2(X15) )
& p2(X14) ) ) ) )
& ? [X16] :
( r1(X0,X16)
& ~ p1(X16) )
& ! [X17] :
( ~ r1(X0,X17)
| p1(X17)
| ? [X18] :
( r1(X17,X18)
& ? [X19] :
( r1(X18,X19)
& ~ p1(X19) )
& p1(X18) ) )
& ( ( ( ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21)
| ? [X22] :
( r1(X21,X22)
& ? [X23] :
( r1(X22,X23)
& ~ p2(X23) )
& p2(X22) ) ) )
| ? [X24] :
( r1(X0,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ( p2(X0)
| ? [X27] :
( r1(X0,X27)
& ? [X28] :
( r1(X27,X28)
& ~ p2(X28) )
& p2(X27) ) ) )
| ? [X29] :
( r1(X0,X29)
& ( ( ? [X30] :
( r1(X29,X30)
& ? [X31] :
( r1(X30,X31)
& ~ p2(X31)
& ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| p2(X33) )
| ~ p2(X32) ) ) )
& ! [X34] :
( ~ r1(X29,X34)
| p2(X34)
| ? [X35] :
( r1(X34,X35)
& ? [X36] :
( r1(X35,X36)
& ~ p2(X36) )
& p2(X35) ) ) )
| ( ~ p2(X29)
& ! [X37] :
( ~ r1(X29,X37)
| ! [X38] :
( ~ r1(X37,X38)
| p2(X38) )
| ~ p2(X37) ) ) )
& ! [X39] :
( ~ r1(X29,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ( ( ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42)
| ? [X43] :
( r1(X42,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44) )
& p2(X43) ) ) )
| ? [X45] :
( r1(X40,X45)
& ~ p2(X45)
& ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| p2(X47) )
| ~ p2(X46) ) ) )
& ( p2(X40)
| ? [X48] :
( r1(X40,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) ) )
| ( ? [X50] :
( r1(X39,X50)
& ? [X51] :
( r1(X50,X51)
& ~ p2(X51)
& ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p2(X53) )
| ~ p2(X52) ) ) )
& ! [X54] :
( ~ r1(X39,X54)
| p2(X54)
| ? [X55] :
( r1(X54,X55)
& ? [X56] :
( r1(X55,X56)
& ~ p2(X56) )
& p2(X55) ) ) )
| ( ~ p2(X39)
& ! [X57] :
( ~ r1(X39,X57)
| ! [X58] :
( ~ r1(X57,X58)
| p2(X58) )
| ~ p2(X57) ) ) ) ) )
& ! [X59] :
( ~ r1(X0,X59)
| p2(X59)
| ? [X60] :
( r1(X59,X60)
& ~ p2(X60)
& ! [X61] :
( ~ r1(X60,X61)
| ! [X62] :
( ~ r1(X61,X62)
| p2(X62) )
| ~ p2(X61) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1) )
| ( ? [X2] :
( r1(X0,X2)
& ~ p2(X2) )
& ! [X3] :
( ~ r1(X0,X3)
| p2(X3)
| ? [X4] :
( r1(X3,X4)
& ? [X5] :
( r1(X4,X5)
& ~ p2(X5) )
& p2(X4) ) ) ) )
& ? [X6] :
( r1(X0,X6)
& ~ p4(X6) )
& ! [X7] :
( ~ r1(X0,X7)
| p4(X7)
| ? [X8] :
( r1(X7,X8)
& ? [X9] :
( r1(X8,X9)
& ~ p4(X9) )
& p4(X8) ) )
& ( ! [X10] :
( ~ r1(X0,X10)
| ? [X11] :
( r1(X10,X11)
& p3(X11) ) )
| ( ? [X12] :
( r1(X0,X12)
& ~ p2(X12) )
& ! [X13] :
( ~ r1(X0,X13)
| p2(X13)
| ? [X14] :
( r1(X13,X14)
& ? [X15] :
( r1(X14,X15)
& ~ p2(X15) )
& p2(X14) ) ) ) )
& ? [X16] :
( r1(X0,X16)
& ~ p1(X16) )
& ! [X17] :
( ~ r1(X0,X17)
| p1(X17)
| ? [X18] :
( r1(X17,X18)
& ? [X19] :
( r1(X18,X19)
& ~ p1(X19) )
& p1(X18) ) )
& ( ( ( ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21)
| ? [X22] :
( r1(X21,X22)
& ? [X23] :
( r1(X22,X23)
& ~ p2(X23) )
& p2(X22) ) ) )
| ? [X24] :
( r1(X0,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ( p2(X0)
| ? [X27] :
( r1(X0,X27)
& ? [X28] :
( r1(X27,X28)
& ~ p2(X28) )
& p2(X27) ) ) )
| ? [X29] :
( r1(X0,X29)
& ( ( ? [X30] :
( r1(X29,X30)
& ? [X31] :
( r1(X30,X31)
& ~ p2(X31)
& ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| p2(X33) )
| ~ p2(X32) ) ) )
& ! [X34] :
( ~ r1(X29,X34)
| p2(X34)
| ? [X35] :
( r1(X34,X35)
& ? [X36] :
( r1(X35,X36)
& ~ p2(X36) )
& p2(X35) ) ) )
| ( ~ p2(X29)
& ! [X37] :
( ~ r1(X29,X37)
| ! [X38] :
( ~ r1(X37,X38)
| p2(X38) )
| ~ p2(X37) ) ) )
& ! [X39] :
( ~ r1(X29,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ( ( ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42)
| ? [X43] :
( r1(X42,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44) )
& p2(X43) ) ) )
| ? [X45] :
( r1(X40,X45)
& ~ p2(X45)
& ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| p2(X47) )
| ~ p2(X46) ) ) )
& ( p2(X40)
| ? [X48] :
( r1(X40,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) ) )
| ( ? [X50] :
( r1(X39,X50)
& ? [X51] :
( r1(X50,X51)
& ~ p2(X51)
& ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p2(X53) )
| ~ p2(X52) ) ) )
& ! [X54] :
( ~ r1(X39,X54)
| p2(X54)
| ? [X55] :
( r1(X54,X55)
& ? [X56] :
( r1(X55,X56)
& ~ p2(X56) )
& p2(X55) ) ) )
| ( ~ p2(X39)
& ! [X57] :
( ~ r1(X39,X57)
| ! [X58] :
( ~ r1(X57,X58)
| p2(X58) )
| ~ p2(X57) ) ) ) ) )
& ! [X59] :
( ~ r1(X0,X59)
| p2(X59)
| ? [X60] :
( r1(X59,X60)
& ~ p2(X60)
& ! [X61] :
( ~ r1(X60,X61)
| ! [X62] :
( ~ r1(X61,X62)
| p2(X62) )
| ~ p2(X61) ) ) ) ),
inference(flattening,[],[f6]) ).
fof(f8,definition,
! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42)
| ? [X43] :
( r1(X42,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44) )
& p2(X43) ) ) )
| ~ sP0(X40) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f9,definition,
! [X39] :
( ( ? [X50] :
( r1(X39,X50)
& ? [X51] :
( r1(X50,X51)
& ~ p2(X51)
& ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p2(X53) )
| ~ p2(X52) ) ) )
& ! [X54] :
( ~ r1(X39,X54)
| p2(X54)
| ? [X55] :
( r1(X54,X55)
& ? [X56] :
( r1(X55,X56)
& ~ p2(X56) )
& p2(X55) ) ) )
| ~ sP1(X39) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X39] :
( ! [X40] :
( ~ r1(X39,X40)
| ( ( sP0(X40)
| ? [X45] :
( r1(X40,X45)
& ~ p2(X45)
& ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| p2(X47) )
| ~ p2(X46) ) ) )
& ( p2(X40)
| ? [X48] :
( r1(X40,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) ) )
| ~ sP2(X39) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X29] :
( ( ? [X30] :
( r1(X29,X30)
& ? [X31] :
( r1(X30,X31)
& ~ p2(X31)
& ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| p2(X33) )
| ~ p2(X32) ) ) )
& ! [X34] :
( ~ r1(X29,X34)
| p2(X34)
| ? [X35] :
( r1(X34,X35)
& ? [X36] :
( r1(X35,X36)
& ~ p2(X36) )
& p2(X35) ) ) )
| ~ sP3(X29) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X0] :
( ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21)
| ? [X22] :
( r1(X21,X22)
& ? [X23] :
( r1(X22,X23)
& ~ p2(X23) )
& p2(X22) ) ) )
| ~ sP4(X0) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X0] :
( ( ( sP4(X0)
| ? [X24] :
( r1(X0,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ( p2(X0)
| ? [X27] :
( r1(X0,X27)
& ? [X28] :
( r1(X27,X28)
& ~ p2(X28) )
& p2(X27) ) ) )
| ~ sP5(X0) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X0] :
( ( ? [X12] :
( r1(X0,X12)
& ~ p2(X12) )
& ! [X13] :
( ~ r1(X0,X13)
| p2(X13)
| ? [X14] :
( r1(X13,X14)
& ? [X15] :
( r1(X14,X15)
& ~ p2(X15) )
& p2(X14) ) ) )
| ~ sP6(X0) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f15,plain,
? [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1) )
| ( ? [X2] :
( r1(X0,X2)
& ~ p2(X2) )
& ! [X3] :
( ~ r1(X0,X3)
| p2(X3)
| ? [X4] :
( r1(X3,X4)
& ? [X5] :
( r1(X4,X5)
& ~ p2(X5) )
& p2(X4) ) ) ) )
& ? [X6] :
( r1(X0,X6)
& ~ p4(X6) )
& ! [X7] :
( ~ r1(X0,X7)
| p4(X7)
| ? [X8] :
( r1(X7,X8)
& ? [X9] :
( r1(X8,X9)
& ~ p4(X9) )
& p4(X8) ) )
& ( ! [X10] :
( ~ r1(X0,X10)
| ? [X11] :
( r1(X10,X11)
& p3(X11) ) )
| sP6(X0) )
& ? [X16] :
( r1(X0,X16)
& ~ p1(X16) )
& ! [X17] :
( ~ r1(X0,X17)
| p1(X17)
| ? [X18] :
( r1(X17,X18)
& ? [X19] :
( r1(X18,X19)
& ~ p1(X19) )
& p1(X18) ) )
& ( sP5(X0)
| ? [X29] :
( r1(X0,X29)
& ( sP3(X29)
| ( ~ p2(X29)
& ! [X37] :
( ~ r1(X29,X37)
| ! [X38] :
( ~ r1(X37,X38)
| p2(X38) )
| ~ p2(X37) ) ) )
& ! [X39] :
( ~ r1(X29,X39)
| sP2(X39)
| sP1(X39)
| ( ~ p2(X39)
& ! [X57] :
( ~ r1(X39,X57)
| ! [X58] :
( ~ r1(X57,X58)
| p2(X58) )
| ~ p2(X57) ) ) ) ) )
& ! [X59] :
( ~ r1(X0,X59)
| p2(X59)
| ? [X60] :
( r1(X59,X60)
& ~ p2(X60)
& ! [X61] :
( ~ r1(X60,X61)
| ! [X62] :
( ~ r1(X61,X62)
| p2(X62) )
| ~ p2(X61) ) ) ) ),
inference(definition_folding,[],[f7,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f16,plain,
! [X0] :
( ( ? [X12] :
( r1(X0,X12)
& ~ p2(X12) )
& ! [X13] :
( ~ r1(X0,X13)
| p2(X13)
| ? [X14] :
( r1(X13,X14)
& ? [X15] :
( r1(X14,X15)
& ~ p2(X15) )
& p2(X14) ) ) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f14]) ).
fof(f17,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p2(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p2(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) )
& p2(X3) ) ) )
| ~ sP6(X0) ),
inference(rectify,[],[f16]) ).
fof(f18,plain,
! [X0] :
( ( r1(X0,sK7(X0))
& ~ p2(sK7(X0))
& ! [X2] :
( ~ r1(X0,X2)
| p2(X2)
| ( r1(X2,sK8(X2))
& r1(sK8(X2),sK9(X2))
& ~ p2(sK9(X2))
& p2(sK8(X2)) ) ) )
| ~ sP6(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X1,sK7(X0)),skolemize(X3,sK8(X2)),skolemize(X4,sK9(X2))],[f17]) ).
fof(f19,plain,
! [X0] :
( ( ( sP4(X0)
| ? [X24] :
( r1(X0,X24)
& ~ p2(X24)
& ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) )
| ~ p2(X25) ) ) )
& ( p2(X0)
| ? [X27] :
( r1(X0,X27)
& ? [X28] :
( r1(X27,X28)
& ~ p2(X28) )
& p2(X27) ) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f13]) ).
fof(f20,plain,
! [X0] :
( ( ( sP4(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) ) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f19]) ).
fof(f21,plain,
! [X0] :
( ( ( sP4(X0)
| ( r1(X0,sK10(X0))
& ~ p2(sK10(X0))
& ! [X2] :
( ~ r1(sK10(X0),X2)
| ! [X3] :
( ~ r1(X2,X3)
| p2(X3) )
| ~ p2(X2) ) ) )
& ( p2(X0)
| ( r1(X0,sK11(X0))
& r1(sK11(X0),sK12(X0))
& ~ p2(sK12(X0))
& p2(sK11(X0)) ) ) )
| ~ sP5(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X1,sK10(X0)),skolemize(X4,sK11(X0)),skolemize(X5,sK12(X0))],[f20]) ).
fof(f22,plain,
! [X0] :
( ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21)
| ? [X22] :
( r1(X21,X22)
& ? [X23] :
( r1(X22,X23)
& ~ p2(X23) )
& p2(X22) ) ) )
| ~ sP4(X0) ),
inference(nnf_transformation,[],[f12]) ).
fof(f23,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) )
& p2(X3) ) ) )
| ~ sP4(X0) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ( r1(X2,sK13(X2))
& r1(sK13(X2),sK14(X2))
& ~ p2(sK14(X2))
& p2(sK13(X2)) ) ) )
| ~ sP4(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X3,sK13(X2)),skolemize(X4,sK14(X2))],[f23]) ).
fof(f25,plain,
! [X29] :
( ( ? [X30] :
( r1(X29,X30)
& ? [X31] :
( r1(X30,X31)
& ~ p2(X31)
& ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| p2(X33) )
| ~ p2(X32) ) ) )
& ! [X34] :
( ~ r1(X29,X34)
| p2(X34)
| ? [X35] :
( r1(X34,X35)
& ? [X36] :
( r1(X35,X36)
& ~ p2(X36) )
& p2(X35) ) ) )
| ~ sP3(X29) ),
inference(nnf_transformation,[],[f11]) ).
fof(f26,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,[],[f25]) ).
fof(f27,plain,
! [X0] :
( ( r1(X0,sK15(X0))
& r1(sK15(X0),sK16(X0))
& ~ p2(sK16(X0))
& ! [X3] :
( ~ r1(sK16(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ( r1(X5,sK17(X5))
& r1(sK17(X5),sK18(X5))
& ~ p2(sK18(X5))
& p2(sK17(X5)) ) ) )
| ~ sP3(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18]),skolemize(X1,sK15(X0)),skolemize(X2,sK16(X0)),skolemize(X6,sK17(X5)),skolemize(X7,sK18(X5))],[f26]) ).
fof(f28,plain,
! [X39] :
( ! [X40] :
( ~ r1(X39,X40)
| ( ( sP0(X40)
| ? [X45] :
( r1(X40,X45)
& ~ p2(X45)
& ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| p2(X47) )
| ~ p2(X46) ) ) )
& ( p2(X40)
| ? [X48] :
( r1(X40,X48)
& ? [X49] :
( r1(X48,X49)
& ~ p2(X49) )
& p2(X48) ) ) ) )
| ~ sP2(X39) ),
inference(nnf_transformation,[],[f10]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( sP0(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) ) ) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( sP0(X1)
| ( r1(X1,sK19(X1))
& ~ p2(sK19(X1))
& ! [X3] :
( ~ r1(sK19(X1),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) ) ) )
& ( p2(X1)
| ( r1(X1,sK20(X1))
& r1(sK20(X1),sK21(X1))
& ~ p2(sK21(X1))
& p2(sK20(X1)) ) ) ) )
| ~ sP2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20,sK21]),skolemize(X2,sK19(X1)),skolemize(X5,sK20(X1)),skolemize(X6,sK21(X1))],[f29]) ).
fof(f31,plain,
! [X39] :
( ( ? [X50] :
( r1(X39,X50)
& ? [X51] :
( r1(X50,X51)
& ~ p2(X51)
& ! [X52] :
( ~ r1(X51,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p2(X53) )
| ~ p2(X52) ) ) )
& ! [X54] :
( ~ r1(X39,X54)
| p2(X54)
| ? [X55] :
( r1(X54,X55)
& ? [X56] :
( r1(X55,X56)
& ~ p2(X56) )
& p2(X55) ) ) )
| ~ sP1(X39) ),
inference(nnf_transformation,[],[f9]) ).
fof(f32,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) ) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
! [X0] :
( ( r1(X0,sK22(X0))
& r1(sK22(X0),sK23(X0))
& ~ p2(sK23(X0))
& ! [X3] :
( ~ r1(sK23(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ( r1(X5,sK24(X5))
& r1(sK24(X5),sK25(X5))
& ~ p2(sK25(X5))
& p2(sK24(X5)) ) ) )
| ~ sP1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25]),skolemize(X1,sK22(X0)),skolemize(X2,sK23(X0)),skolemize(X6,sK24(X5)),skolemize(X7,sK25(X5))],[f32]) ).
fof(f37,plain,
? [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p3(X1) )
| ( ? [X2] :
( r1(X0,X2)
& ~ p2(X2) )
& ! [X3] :
( ~ r1(X0,X3)
| p2(X3)
| ? [X4] :
( r1(X3,X4)
& ? [X5] :
( r1(X4,X5)
& ~ p2(X5) )
& p2(X4) ) ) ) )
& ? [X6] :
( r1(X0,X6)
& ~ p4(X6) )
& ! [X7] :
( ~ r1(X0,X7)
| p4(X7)
| ? [X8] :
( r1(X7,X8)
& ? [X9] :
( r1(X8,X9)
& ~ p4(X9) )
& p4(X8) ) )
& ( ! [X10] :
( ~ r1(X0,X10)
| ? [X11] :
( r1(X10,X11)
& p3(X11) ) )
| sP6(X0) )
& ? [X12] :
( r1(X0,X12)
& ~ p1(X12) )
& ! [X13] :
( ~ r1(X0,X13)
| p1(X13)
| ? [X14] :
( r1(X13,X14)
& ? [X15] :
( r1(X14,X15)
& ~ p1(X15) )
& p1(X14) ) )
& ( sP5(X0)
| ? [X16] :
( r1(X0,X16)
& ( sP3(X16)
| ( ~ p2(X16)
& ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) ) ) )
& ! [X19] :
( ~ r1(X16,X19)
| sP2(X19)
| sP1(X19)
| ( ~ p2(X19)
& ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21) )
| ~ p2(X20) ) ) ) ) )
& ! [X22] :
( ~ r1(X0,X22)
| p2(X22)
| ? [X23] :
( r1(X22,X23)
& ~ p2(X23)
& ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| p2(X25) )
| ~ p2(X24) ) ) ) ),
inference(rectify,[],[f15]) ).
fof(f38,plain,
( ( ! [X1] :
( ~ r1(sK28,X1)
| ~ p3(X1) )
| ( r1(sK28,sK29)
& ~ p2(sK29)
& ! [X3] :
( ~ r1(sK28,X3)
| p2(X3)
| ( r1(X3,sK30(X3))
& r1(sK30(X3),sK31(X3))
& ~ p2(sK31(X3))
& p2(sK30(X3)) ) ) ) )
& r1(sK28,sK32)
& ~ p4(sK32)
& ! [X7] :
( ~ r1(sK28,X7)
| p4(X7)
| ( r1(X7,sK33(X7))
& r1(sK33(X7),sK34(X7))
& ~ p4(sK34(X7))
& p4(sK33(X7)) ) )
& ( ! [X10] :
( ~ r1(sK28,X10)
| ( r1(X10,sK35(X10))
& p3(sK35(X10)) ) )
| sP6(sK28) )
& r1(sK28,sK36)
& ~ p1(sK36)
& ! [X13] :
( ~ r1(sK28,X13)
| p1(X13)
| ( r1(X13,sK37(X13))
& r1(sK37(X13),sK38(X13))
& ~ p1(sK38(X13))
& p1(sK37(X13)) ) )
& ( sP5(sK28)
| ( r1(sK28,sK39)
& ( sP3(sK39)
| ( ~ p2(sK39)
& ! [X17] :
( ~ r1(sK39,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) ) ) )
& ! [X19] :
( ~ r1(sK39,X19)
| sP2(X19)
| sP1(X19)
| ( ~ p2(X19)
& ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21) )
| ~ p2(X20) ) ) ) ) )
& ! [X22] :
( ~ r1(sK28,X22)
| p2(X22)
| ( r1(X22,sK40(X22))
& ~ p2(sK40(X22))
& ! [X24] :
( ~ r1(sK40(X22),X24)
| ! [X25] :
( ~ r1(X24,X25)
| p2(X25) )
| ~ p2(X24) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40]),skolemize(X0,sK28),skolemize(X2,sK29),skolemize(X4,sK30(X3)),skolemize(X5,sK31(X3)),skolemize(X6,sK32),skolemize(X8,sK33(X7)),skolemize(X9,sK34(X7)),skolemize(X11,sK35(X10)),skolemize(X12,sK36),skolemize(X14,sK37(X13)),skolemize(X15,sK38(X13)),skolemize(X16,sK39),skolemize(X23,sK40(X22))],[f37]) ).
fof(f39,plain,
! [X2,X0] :
( p2(sK8(X2))
| p2(X2)
| ~ r1(X0,X2)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f40,plain,
! [X2,X0] :
( ~ p2(sK9(X2))
| p2(X2)
| ~ r1(X0,X2)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f41,plain,
! [X2,X0] :
( r1(sK8(X2),sK9(X2))
| p2(X2)
| ~ r1(X0,X2)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f42,plain,
! [X2,X0] :
( ~ sP6(X0)
| p2(X2)
| r1(X2,sK8(X2))
| ~ r1(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f43,plain,
! [X0] :
( ~ p2(sK7(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f44,plain,
! [X0] :
( r1(X0,sK7(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f49,plain,
! [X2,X3,X0] :
( ~ sP5(X0)
| ~ r1(sK10(X0),X2)
| ~ r1(X2,X3)
| p2(X3)
| ~ p2(X2)
| sP4(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f50,plain,
! [X0] :
( ~ p2(sK10(X0))
| sP4(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f51,plain,
! [X0] :
( sP4(X0)
| r1(X0,sK10(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f52,plain,
! [X2,X0,X1] :
( p2(sK13(X2))
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ p2(sK14(X2))
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f54,plain,
! [X2,X0,X1] :
( r1(sK13(X2),sK14(X2))
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ sP4(X0)
| ~ r1(X1,X2)
| p2(X2)
| r1(X2,sK13(X2))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f56,plain,
! [X0,X5] :
( ~ sP3(X0)
| p2(X5)
| p2(sK17(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f27]) ).
fof(f57,plain,
! [X0,X5] :
( ~ p2(sK18(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f58,plain,
! [X0,X5] :
( r1(sK17(X5),sK18(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f59,plain,
! [X0,X5] :
( ~ sP3(X0)
| p2(X5)
| r1(X5,sK17(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f27]) ).
fof(f60,plain,
! [X3,X0,X4] :
( ~ sP3(X0)
| ~ r1(X3,X4)
| p2(X4)
| ~ p2(X3)
| ~ r1(sK16(X0),X3) ),
inference(cnf_transformation,[],[f27]) ).
fof(f61,plain,
! [X0] :
( ~ p2(sK16(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f62,plain,
! [X0] :
( r1(sK15(X0),sK16(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f63,plain,
! [X0] :
( ~ sP3(X0)
| r1(X0,sK15(X0)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f64,plain,
! [X0,X1] :
( ~ sP2(X0)
| p2(X1)
| p2(sK20(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f65,plain,
! [X0,X1] :
( ~ p2(sK21(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f66,plain,
! [X0,X1] :
( r1(sK20(X1),sK21(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f67,plain,
! [X0,X1] :
( ~ sP2(X0)
| p2(X1)
| r1(X1,sK20(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f71,plain,
! [X0,X5] :
( ~ sP1(X0)
| p2(X5)
| p2(sK24(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f33]) ).
fof(f72,plain,
! [X0,X5] :
( ~ p2(sK25(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f73,plain,
! [X0,X5] :
( r1(sK24(X5),sK25(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f74,plain,
! [X0,X5] :
( ~ sP1(X0)
| p2(X5)
| r1(X5,sK24(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f33]) ).
fof(f83,plain,
! [X24,X22,X25] :
( ~ p2(X24)
| p2(X22)
| ~ r1(sK40(X22),X24)
| ~ r1(X24,X25)
| p2(X25)
| ~ r1(sK28,X22) ),
inference(cnf_transformation,[],[f38]) ).
fof(f84,plain,
! [X22] :
( ~ p2(sK40(X22))
| p2(X22)
| ~ r1(sK28,X22) ),
inference(cnf_transformation,[],[f38]) ).
fof(f85,plain,
! [X22] :
( r1(X22,sK40(X22))
| p2(X22)
| ~ r1(sK28,X22) ),
inference(cnf_transformation,[],[f38]) ).
fof(f86,plain,
! [X21,X19,X20] :
( sP5(sK28)
| ~ r1(sK39,X19)
| sP2(X19)
| sP1(X19)
| ~ r1(X19,X20)
| ~ r1(X20,X21)
| p2(X21)
| ~ p2(X20) ),
inference(cnf_transformation,[],[f38]) ).
fof(f88,plain,
! [X18,X17] :
( sP5(sK28)
| sP3(sK39)
| ~ r1(sK39,X17)
| ~ r1(X17,X18)
| p2(X18)
| ~ p2(X17) ),
inference(cnf_transformation,[],[f38]) ).
fof(f89,plain,
( sP5(sK28)
| sP3(sK39)
| ~ p2(sK39) ),
inference(cnf_transformation,[],[f38]) ).
fof(f90,plain,
( sP5(sK28)
| r1(sK28,sK39) ),
inference(cnf_transformation,[],[f38]) ).
fof(f97,plain,
! [X10] :
( ~ r1(sK28,X10)
| p3(sK35(X10))
| sP6(sK28) ),
inference(cnf_transformation,[],[f38]) ).
fof(f98,plain,
! [X10] :
( ~ r1(sK28,X10)
| r1(X10,sK35(X10))
| sP6(sK28) ),
inference(cnf_transformation,[],[f38]) ).
fof(f105,plain,
! [X3,X1] :
( ~ r1(sK28,X1)
| ~ p3(X1)
| ~ r1(sK28,X3)
| p2(X3)
| p2(sK30(X3)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f106,plain,
! [X3,X1] :
( ~ r1(sK28,X1)
| ~ p3(X1)
| ~ r1(sK28,X3)
| p2(X3)
| ~ p2(sK31(X3)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f107,plain,
! [X3,X1] :
( ~ r1(sK28,X1)
| ~ p3(X1)
| ~ r1(sK28,X3)
| p2(X3)
| r1(sK30(X3),sK31(X3)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f108,plain,
! [X3,X1] :
( ~ r1(sK28,X1)
| ~ p3(X1)
| ~ r1(sK28,X3)
| p2(X3)
| r1(X3,sK30(X3)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f109,plain,
! [X1] :
( ~ r1(sK28,X1)
| ~ p3(X1)
| ~ p2(sK29) ),
inference(cnf_transformation,[],[f38]) ).
fof(f110,plain,
! [X1] :
( ~ r1(sK28,X1)
| ~ p3(X1)
| r1(sK28,sK29) ),
inference(cnf_transformation,[],[f38]) ).
fof(f111,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f113,definition,
( spl41_1
<=> ! [X20,X21,X19] :
( ~ r1(sK39,X19)
| ~ p2(X20)
| p2(X21)
| ~ r1(X20,X21)
| ~ r1(X19,X20)
| sP1(X19)
| sP2(X19) ) ),
introduced(definition,[new_symbols(definition,[spl41_1])],[avatar_definition]) ).
fof(f114,plain,
( ! [X21,X19,X20] :
( sP2(X19)
| ~ p2(X20)
| p2(X21)
| ~ r1(X20,X21)
| ~ r1(X19,X20)
| sP1(X19)
| ~ r1(sK39,X19) )
| ~ spl41_1 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,definition,
( spl41_2
<=> sP5(sK28) ),
introduced(definition,[new_symbols(definition,[spl41_2])],[avatar_definition]) ).
fof(f118,plain,
( sP5(sK28)
| ~ spl41_2 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f119,plain,
( spl41_1
| spl41_2 ),
inference(avatar_split_clause,[],[f86,f116,f113]) ).
fof(f125,definition,
( spl41_4
<=> ! [X18,X17] :
( ~ r1(sK39,X17)
| ~ p2(X17)
| p2(X18)
| ~ r1(X17,X18) ) ),
introduced(definition,[new_symbols(definition,[spl41_4])],[avatar_definition]) ).
fof(f126,plain,
( ! [X18,X17] :
( ~ p2(X17)
| ~ r1(sK39,X17)
| p2(X18)
| ~ r1(X17,X18) )
| ~ spl41_4 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,definition,
( spl41_5
<=> sP3(sK39) ),
introduced(definition,[new_symbols(definition,[spl41_5])],[avatar_definition]) ).
fof(f130,plain,
( sP3(sK39)
| ~ spl41_5 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f131,plain,
( spl41_4
| spl41_5
| spl41_2 ),
inference(avatar_split_clause,[],[f88,f116,f128,f125]) ).
fof(f133,definition,
( spl41_6
<=> p2(sK39) ),
introduced(definition,[new_symbols(definition,[spl41_6])],[avatar_definition]) ).
fof(f135,plain,
( ~ p2(sK39)
| spl41_6 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f136,plain,
( ~ spl41_6
| spl41_5
| spl41_2 ),
inference(avatar_split_clause,[],[f89,f116,f128,f133]) ).
fof(f138,definition,
( spl41_7
<=> r1(sK28,sK39) ),
introduced(definition,[new_symbols(definition,[spl41_7])],[avatar_definition]) ).
fof(f140,plain,
( r1(sK28,sK39)
| ~ spl41_7 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f141,plain,
( spl41_7
| spl41_2 ),
inference(avatar_split_clause,[],[f90,f116,f138]) ).
fof(f143,definition,
( spl41_8
<=> sP6(sK28) ),
introduced(definition,[new_symbols(definition,[spl41_8])],[avatar_definition]) ).
fof(f145,plain,
( sP6(sK28)
| ~ spl41_8 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f147,definition,
( spl41_9
<=> ! [X10] :
( ~ r1(sK28,X10)
| p3(sK35(X10)) ) ),
introduced(definition,[new_symbols(definition,[spl41_9])],[avatar_definition]) ).
fof(f148,plain,
( ! [X10] :
( p3(sK35(X10))
| ~ r1(sK28,X10) )
| ~ spl41_9 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f149,plain,
( spl41_8
| spl41_9 ),
inference(avatar_split_clause,[],[f97,f147,f143]) ).
fof(f151,definition,
( spl41_10
<=> ! [X10] :
( ~ r1(sK28,X10)
| r1(X10,sK35(X10)) ) ),
introduced(definition,[new_symbols(definition,[spl41_10])],[avatar_definition]) ).
fof(f152,plain,
( ! [X10] :
( r1(X10,sK35(X10))
| ~ r1(sK28,X10) )
| ~ spl41_10 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f153,plain,
( spl41_8
| spl41_10 ),
inference(avatar_split_clause,[],[f98,f151,f143]) ).
fof(f155,definition,
( spl41_11
<=> ! [X3] :
( ~ r1(sK28,X3)
| p2(sK30(X3))
| p2(X3) ) ),
introduced(definition,[new_symbols(definition,[spl41_11])],[avatar_definition]) ).
fof(f156,plain,
( ! [X3] :
( p2(sK30(X3))
| ~ r1(sK28,X3)
| p2(X3) )
| ~ spl41_11 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f158,definition,
( spl41_12
<=> ! [X1] :
( ~ r1(sK28,X1)
| ~ p3(X1) ) ),
introduced(definition,[new_symbols(definition,[spl41_12])],[avatar_definition]) ).
fof(f159,plain,
( ! [X1] :
( ~ p3(X1)
| ~ r1(sK28,X1) )
| ~ spl41_12 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f160,plain,
( spl41_11
| spl41_12 ),
inference(avatar_split_clause,[],[f105,f158,f155]) ).
fof(f162,definition,
( spl41_13
<=> ! [X3] :
( ~ r1(sK28,X3)
| ~ p2(sK31(X3))
| p2(X3) ) ),
introduced(definition,[new_symbols(definition,[spl41_13])],[avatar_definition]) ).
fof(f163,plain,
( ! [X3] :
( ~ p2(sK31(X3))
| ~ r1(sK28,X3)
| p2(X3) )
| ~ spl41_13 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f164,plain,
( spl41_13
| spl41_12 ),
inference(avatar_split_clause,[],[f106,f158,f162]) ).
fof(f166,definition,
( spl41_14
<=> ! [X3] :
( ~ r1(sK28,X3)
| r1(sK30(X3),sK31(X3))
| p2(X3) ) ),
introduced(definition,[new_symbols(definition,[spl41_14])],[avatar_definition]) ).
fof(f167,plain,
( ! [X3] :
( r1(sK30(X3),sK31(X3))
| ~ r1(sK28,X3)
| p2(X3) )
| ~ spl41_14 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f168,plain,
( spl41_14
| spl41_12 ),
inference(avatar_split_clause,[],[f107,f158,f166]) ).
fof(f170,definition,
( spl41_15
<=> ! [X3] :
( ~ r1(sK28,X3)
| r1(X3,sK30(X3))
| p2(X3) ) ),
introduced(definition,[new_symbols(definition,[spl41_15])],[avatar_definition]) ).
fof(f171,plain,
( ! [X3] :
( r1(X3,sK30(X3))
| ~ r1(sK28,X3)
| p2(X3) )
| ~ spl41_15 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f172,plain,
( spl41_15
| spl41_12 ),
inference(avatar_split_clause,[],[f108,f158,f170]) ).
fof(f174,definition,
( spl41_16
<=> p2(sK29) ),
introduced(definition,[new_symbols(definition,[spl41_16])],[avatar_definition]) ).
fof(f176,plain,
( ~ p2(sK29)
| spl41_16 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f177,plain,
( ~ spl41_16
| spl41_12 ),
inference(avatar_split_clause,[],[f109,f158,f174]) ).
fof(f179,definition,
( spl41_17
<=> r1(sK28,sK29) ),
introduced(definition,[new_symbols(definition,[spl41_17])],[avatar_definition]) ).
fof(f181,plain,
( r1(sK28,sK29)
| ~ spl41_17 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f182,plain,
( spl41_17
| spl41_12 ),
inference(avatar_split_clause,[],[f110,f158,f179]) ).
fof(f196,definition,
( spl41_20
<=> ! [X1] :
( ~ r1(sK28,X1)
| p2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl41_20])],[avatar_definition]) ).
fof(f197,plain,
( ! [X1] :
( ~ r1(sK28,X1)
| p2(X1) )
| ~ spl41_20 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f218,plain,
( ! [X0] :
( ~ r1(sK28,sK35(X0))
| ~ r1(sK28,X0) )
| ~ spl41_9
| ~ spl41_12 ),
inference(resolution,[],[f148,f159]) ).
fof(f219,plain,
( ~ r1(sK28,sK28)
| ~ r1(sK28,sK28)
| ~ spl41_9
| ~ spl41_10
| ~ spl41_12 ),
inference(resolution,[],[f218,f152]) ).
fof(f220,plain,
( ~ r1(sK28,sK28)
| ~ spl41_9
| ~ spl41_10
| ~ spl41_12 ),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f221,plain,
( $false
| ~ spl41_9
| ~ spl41_10
| ~ spl41_12 ),
inference(forward_subsumption_resolution,[],[f220,f111]) ).
fof(f222,plain,
( ~ spl41_9
| ~ spl41_10
| ~ spl41_12 ),
inference(avatar_contradiction_clause,[],[f221]) ).
fof(f284,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK40(X3),sK13(X1))
| p2(X1)
| ~ r1(X2,X0)
| ~ sP4(X2)
| p2(X3)
| ~ r1(X0,X1)
| ~ r1(sK13(X1),X4)
| p2(X4)
| ~ r1(sK28,X3) ),
inference(resolution,[],[f52,f83]) ).
fof(f286,plain,
( p2(sK29)
| ~ spl41_17
| ~ spl41_20 ),
inference(resolution,[],[f197,f181]) ).
fof(f290,plain,
( p2(sK7(sK28))
| ~ sP6(sK28)
| ~ spl41_20 ),
inference(resolution,[],[f197,f44]) ).
fof(f299,plain,
( $false
| spl41_16
| ~ spl41_17
| ~ spl41_20 ),
inference(forward_subsumption_resolution,[],[f286,f176]) ).
fof(f300,plain,
( spl41_16
| ~ spl41_17
| ~ spl41_20 ),
inference(avatar_contradiction_clause,[],[f299]) ).
fof(f319,plain,
! [X2,X0,X1] :
( r1(X2,sK10(X2))
| p2(X1)
| r1(X1,sK13(X1))
| ~ r1(X2,X0)
| ~ r1(X0,X1)
| ~ sP5(X2) ),
inference(resolution,[],[f55,f51]) ).
fof(f320,plain,
( ! [X0,X1] :
( ~ r1(sK10(sK28),X0)
| ~ r1(X0,X1)
| p2(X1)
| ~ p2(X0)
| sP4(sK28) )
| ~ spl41_2 ),
inference(resolution,[],[f49,f118]) ).
fof(f322,definition,
( spl41_36
<=> sP4(sK28) ),
introduced(definition,[new_symbols(definition,[spl41_36])],[avatar_definition]) ).
fof(f324,plain,
( sP4(sK28)
| ~ spl41_36 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f326,definition,
( spl41_37
<=> ! [X0,X1] :
( ~ r1(sK10(sK28),X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl41_37])],[avatar_definition]) ).
fof(f327,plain,
( ! [X0,X1] :
( ~ p2(X0)
| ~ r1(sK10(sK28),X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl41_37 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f328,plain,
( spl41_36
| spl41_37
| ~ spl41_2 ),
inference(avatar_split_clause,[],[f320,f116,f326,f322]) ).
fof(f332,plain,
( ! [X2,X0,X1] :
( ~ r1(sK39,sK8(X0))
| p2(X1)
| ~ r1(sK8(X0),X1)
| p2(X0)
| ~ r1(X2,X0)
| ~ sP6(X2) )
| ~ spl41_4 ),
inference(resolution,[],[f126,f39]) ).
fof(f336,plain,
( ! [X0,X1] :
( ~ r1(sK39,sK30(X0))
| p2(X1)
| ~ r1(sK30(X0),X1)
| ~ r1(sK28,X0)
| p2(X0) )
| ~ spl41_4
| ~ spl41_11 ),
inference(resolution,[],[f126,f156]) ).
fof(f345,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK30(sK39),X0)
| ~ r1(sK28,sK39)
| p2(sK39)
| ~ r1(sK28,sK39)
| p2(sK39) )
| ~ spl41_4
| ~ spl41_11
| ~ spl41_15 ),
inference(resolution,[],[f336,f171]) ).
fof(f346,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK30(sK39),X0)
| ~ r1(sK28,sK39)
| p2(sK39) )
| ~ spl41_4
| ~ spl41_11
| ~ spl41_15 ),
inference(duplicate_literal_removal,[],[f345]) ).
fof(f347,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK30(sK39),X0)
| p2(sK39) )
| ~ spl41_4
| ~ spl41_7
| ~ spl41_11
| ~ spl41_15 ),
inference(forward_subsumption_resolution,[],[f346,f140]) ).
fof(f348,plain,
( ! [X0] :
( ~ r1(sK30(sK39),X0)
| p2(X0) )
| ~ spl41_4
| spl41_6
| ~ spl41_7
| ~ spl41_11
| ~ spl41_15 ),
inference(forward_subsumption_resolution,[],[f347,f135]) ).
fof(f351,plain,
( p2(sK31(sK39))
| ~ r1(sK28,sK39)
| p2(sK39)
| ~ spl41_4
| spl41_6
| ~ spl41_7
| ~ spl41_11
| ~ spl41_14
| ~ spl41_15 ),
inference(resolution,[],[f348,f167]) ).
fof(f388,plain,
( ~ r1(sK28,sK39)
| p2(sK39)
| ~ spl41_4
| spl41_6
| ~ spl41_7
| ~ spl41_11
| ~ spl41_13
| ~ spl41_14
| ~ spl41_15 ),
inference(forward_subsumption_resolution,[],[f351,f163]) ).
fof(f389,plain,
( p2(sK39)
| ~ spl41_4
| spl41_6
| ~ spl41_7
| ~ spl41_11
| ~ spl41_13
| ~ spl41_14
| ~ spl41_15 ),
inference(forward_subsumption_resolution,[],[f388,f140]) ).
fof(f390,plain,
( $false
| ~ spl41_4
| spl41_6
| ~ spl41_7
| ~ spl41_11
| ~ spl41_13
| ~ spl41_14
| ~ spl41_15 ),
inference(forward_subsumption_resolution,[],[f389,f135]) ).
fof(f391,plain,
( ~ spl41_4
| spl41_6
| ~ spl41_7
| ~ spl41_11
| ~ spl41_13
| ~ spl41_14
| ~ spl41_15 ),
inference(avatar_contradiction_clause,[],[f390]) ).
fof(f392,plain,
( ! [X0] :
( r1(X0,sK8(X0))
| p2(X0)
| ~ r1(sK28,X0) )
| ~ spl41_8 ),
inference(resolution,[],[f145,f42]) ).
fof(f431,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK8(sK39),X0)
| p2(sK39)
| ~ r1(X1,sK39)
| ~ sP6(X1)
| p2(sK39)
| ~ r1(sK28,sK39) )
| ~ spl41_4
| ~ spl41_8 ),
inference(resolution,[],[f332,f392]) ).
fof(f432,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK8(sK39),X0)
| p2(sK39)
| ~ r1(X1,sK39)
| ~ sP6(X1)
| ~ r1(sK28,sK39) )
| ~ spl41_4
| ~ spl41_8 ),
inference(duplicate_literal_removal,[],[f431]) ).
fof(f433,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK8(sK39),X0)
| ~ r1(X1,sK39)
| ~ sP6(X1)
| ~ r1(sK28,sK39) )
| ~ spl41_4
| spl41_6
| ~ spl41_8 ),
inference(forward_subsumption_resolution,[],[f432,f135]) ).
fof(f434,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK8(sK39),X0)
| ~ r1(X1,sK39)
| ~ sP6(X1) )
| ~ spl41_4
| spl41_6
| ~ spl41_7
| ~ spl41_8 ),
inference(forward_subsumption_resolution,[],[f433,f140]) ).
fof(f436,definition,
( spl41_52
<=> ! [X1] :
( ~ r1(X1,sK39)
| ~ sP6(X1) ) ),
introduced(definition,[new_symbols(definition,[spl41_52])],[avatar_definition]) ).
fof(f437,plain,
( ! [X1] :
( ~ sP6(X1)
| ~ r1(X1,sK39) )
| ~ spl41_52 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f439,definition,
( spl41_53
<=> ! [X0] :
( p2(X0)
| ~ r1(sK8(sK39),X0) ) ),
introduced(definition,[new_symbols(definition,[spl41_53])],[avatar_definition]) ).
fof(f440,plain,
( ! [X0] :
( ~ r1(sK8(sK39),X0)
| p2(X0) )
| ~ spl41_53 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f441,plain,
( spl41_52
| spl41_53
| ~ spl41_4
| spl41_6
| ~ spl41_7
| ~ spl41_8 ),
inference(avatar_split_clause,[],[f434,f143,f138,f133,f125,f439,f436]) ).
fof(f442,plain,
( ~ r1(sK28,sK39)
| ~ spl41_8
| ~ spl41_52 ),
inference(resolution,[],[f437,f145]) ).
fof(f443,plain,
( $false
| ~ spl41_7
| ~ spl41_8
| ~ spl41_52 ),
inference(forward_subsumption_resolution,[],[f442,f140]) ).
fof(f444,plain,
( ~ spl41_7
| ~ spl41_8
| ~ spl41_52 ),
inference(avatar_contradiction_clause,[],[f443]) ).
fof(f448,plain,
( ! [X0] :
( p2(sK9(sK39))
| p2(sK39)
| ~ r1(X0,sK39)
| ~ sP6(X0) )
| ~ spl41_53 ),
inference(resolution,[],[f440,f41]) ).
fof(f509,plain,
( ! [X0] :
( p2(sK39)
| ~ r1(X0,sK39)
| ~ sP6(X0) )
| ~ spl41_53 ),
inference(forward_subsumption_resolution,[],[f448,f40]) ).
fof(f511,plain,
( ! [X0] :
( ~ r1(X0,sK39)
| ~ sP6(X0) )
| spl41_6
| ~ spl41_53 ),
inference(forward_subsumption_resolution,[],[f509,f135]) ).
fof(f512,plain,
( spl41_52
| spl41_6
| ~ spl41_53 ),
inference(avatar_split_clause,[],[f511,f439,f133,f436]) ).
fof(f520,plain,
( ! [X0,X1] :
( ~ r1(sK10(sK28),sK30(X0))
| p2(X1)
| ~ r1(sK30(X0),X1)
| ~ r1(sK28,X0)
| p2(X0) )
| ~ spl41_11
| ~ spl41_37 ),
inference(resolution,[],[f327,f156]) ).
fof(f546,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK30(sK10(sK28)),X0)
| ~ r1(sK28,sK10(sK28))
| p2(sK10(sK28))
| ~ r1(sK28,sK10(sK28))
| p2(sK10(sK28)) )
| ~ spl41_11
| ~ spl41_15
| ~ spl41_37 ),
inference(resolution,[],[f520,f171]) ).
fof(f547,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK30(sK10(sK28)),X0)
| ~ r1(sK28,sK10(sK28))
| p2(sK10(sK28)) )
| ~ spl41_11
| ~ spl41_15
| ~ spl41_37 ),
inference(duplicate_literal_removal,[],[f546]) ).
fof(f549,definition,
( spl41_69
<=> p2(sK10(sK28)) ),
introduced(definition,[new_symbols(definition,[spl41_69])],[avatar_definition]) ).
fof(f550,plain,
( ~ p2(sK10(sK28))
| spl41_69 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f551,plain,
( p2(sK10(sK28))
| ~ spl41_69 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f553,definition,
( spl41_70
<=> r1(sK28,sK10(sK28)) ),
introduced(definition,[new_symbols(definition,[spl41_70])],[avatar_definition]) ).
fof(f554,plain,
( r1(sK28,sK10(sK28))
| ~ spl41_70 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f555,plain,
( ~ r1(sK28,sK10(sK28))
| spl41_70 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f557,definition,
( spl41_71
<=> ! [X0] :
( p2(X0)
| ~ r1(sK30(sK10(sK28)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl41_71])],[avatar_definition]) ).
fof(f558,plain,
( ! [X0] :
( ~ r1(sK30(sK10(sK28)),X0)
| p2(X0) )
| ~ spl41_71 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f559,plain,
( spl41_69
| ~ spl41_70
| spl41_71
| ~ spl41_11
| ~ spl41_15
| ~ spl41_37 ),
inference(avatar_split_clause,[],[f547,f326,f170,f155,f557,f553,f549]) ).
fof(f580,plain,
( sP4(sK28)
| ~ sP5(sK28)
| ~ spl41_69 ),
inference(resolution,[],[f551,f50]) ).
fof(f597,plain,
( sP4(sK28)
| ~ spl41_2
| ~ spl41_69 ),
inference(forward_subsumption_resolution,[],[f580,f118]) ).
fof(f599,plain,
( spl41_36
| ~ spl41_2
| ~ spl41_69 ),
inference(avatar_split_clause,[],[f597,f549,f116,f322]) ).
fof(f605,plain,
( ! [X0,X1] :
( p2(X0)
| r1(X0,sK13(X0))
| ~ r1(sK28,X1)
| ~ r1(X1,X0)
| ~ sP5(sK28) )
| spl41_70 ),
inference(resolution,[],[f555,f319]) ).
fof(f606,plain,
( ! [X0,X1] :
( r1(X0,sK13(X0))
| p2(X0)
| ~ r1(sK28,X1)
| ~ r1(X1,X0) )
| ~ spl41_2
| spl41_70 ),
inference(forward_subsumption_resolution,[],[f605,f118]) ).
fof(f702,plain,
( ! [X2,X3,X0,X1,X4] :
( p2(sK40(X0))
| ~ r1(sK28,X1)
| ~ r1(X1,sK40(X0))
| p2(sK40(X0))
| ~ r1(X2,X3)
| ~ sP4(X2)
| p2(X0)
| ~ r1(X3,sK40(X0))
| ~ r1(sK13(sK40(X0)),X4)
| p2(X4)
| ~ r1(sK28,X0) )
| ~ spl41_2
| spl41_70 ),
inference(resolution,[],[f606,f284]) ).
fof(f703,plain,
( ! [X2,X3,X0,X1,X4] :
( p2(sK40(X0))
| ~ r1(sK28,X1)
| ~ r1(X1,sK40(X0))
| ~ r1(X2,X3)
| ~ sP4(X2)
| p2(X0)
| ~ r1(X3,sK40(X0))
| ~ r1(sK13(sK40(X0)),X4)
| p2(X4)
| ~ r1(sK28,X0) )
| ~ spl41_2
| spl41_70 ),
inference(duplicate_literal_removal,[],[f702]) ).
fof(f706,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP4(X2)
| ~ r1(X1,sK40(X0))
| ~ r1(X2,X3)
| ~ r1(sK28,X1)
| p2(X0)
| ~ r1(X3,sK40(X0))
| ~ r1(sK13(sK40(X0)),X4)
| p2(X4)
| ~ r1(sK28,X0) )
| ~ spl41_2
| spl41_70 ),
inference(forward_subsumption_resolution,[],[f703,f84]) ).
fof(f737,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP5(X2)
| ~ r1(X2,X3)
| ~ r1(sK28,X0)
| p2(X1)
| ~ r1(X3,sK40(X1))
| ~ r1(sK13(sK40(X1)),X4)
| p2(X4)
| ~ r1(sK28,X1)
| r1(X2,sK10(X2))
| ~ r1(X0,sK40(X1)) )
| ~ spl41_2
| spl41_70 ),
inference(resolution,[],[f706,f51]) ).
fof(f738,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(sK28,X0)
| ~ r1(sK28,X1)
| p2(X2)
| ~ r1(X0,sK40(X2))
| ~ r1(sK13(sK40(X2)),X3)
| p2(X3)
| ~ r1(sK28,X2)
| r1(sK28,sK10(sK28))
| ~ r1(X1,sK40(X2)) )
| ~ spl41_2
| spl41_70 ),
inference(resolution,[],[f737,f118]) ).
fof(f739,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X1,sK40(X2))
| ~ r1(sK28,X1)
| p2(X2)
| ~ r1(X0,sK40(X2))
| ~ r1(sK13(sK40(X2)),X3)
| p2(X3)
| ~ r1(sK28,X2)
| ~ r1(sK28,X0) )
| ~ spl41_2
| spl41_70 ),
inference(forward_subsumption_resolution,[],[f738,f555]) ).
fof(f740,plain,
( ! [X2,X0,X1] :
( ~ r1(sK28,X0)
| p2(X0)
| ~ r1(X1,sK40(X0))
| ~ r1(sK13(sK40(X0)),X2)
| p2(X2)
| ~ r1(sK28,X0)
| ~ r1(sK28,X1)
| p2(X0)
| ~ r1(sK28,X0) )
| ~ spl41_2
| spl41_70 ),
inference(resolution,[],[f739,f85]) ).
fof(f742,plain,
( ! [X2,X0,X1] :
( ~ r1(X1,sK40(X0))
| p2(X0)
| ~ r1(sK28,X0)
| ~ r1(sK13(sK40(X0)),X2)
| p2(X2)
| ~ r1(sK28,X1) )
| ~ spl41_2
| spl41_70 ),
inference(duplicate_literal_removal,[],[f740]) ).
fof(f743,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK28,X0)
| ~ r1(sK13(sK40(X0)),X1)
| p2(X1)
| ~ r1(sK28,X0)
| p2(X0)
| ~ r1(sK28,X0) )
| ~ spl41_2
| spl41_70 ),
inference(resolution,[],[f742,f85]) ).
fof(f745,plain,
( ! [X0,X1] :
( ~ r1(sK13(sK40(X0)),X1)
| ~ r1(sK28,X0)
| p2(X0)
| p2(X1) )
| ~ spl41_2
| spl41_70 ),
inference(duplicate_literal_removal,[],[f743]) ).
fof(f746,plain,
( ! [X2,X0,X1] :
( ~ r1(sK28,X0)
| p2(X0)
| p2(sK14(sK40(X0)))
| ~ r1(X1,sK40(X0))
| p2(sK40(X0))
| ~ r1(X2,X1)
| ~ sP4(X2) )
| ~ spl41_2
| spl41_70 ),
inference(resolution,[],[f745,f54]) ).
fof(f759,plain,
( ! [X2,X0,X1] :
( ~ sP4(X2)
| p2(X0)
| p2(sK14(sK40(X0)))
| ~ r1(X1,sK40(X0))
| ~ r1(X2,X1)
| ~ r1(sK28,X0) )
| ~ spl41_2
| spl41_70 ),
inference(forward_subsumption_resolution,[],[f746,f84]) ).
fof(f767,plain,
( ! [X2,X0,X1] :
( ~ sP5(X2)
| p2(sK14(sK40(X0)))
| ~ r1(X1,sK40(X0))
| ~ r1(X2,X1)
| ~ r1(sK28,X0)
| r1(X2,sK10(X2))
| p2(X0) )
| ~ spl41_2
| spl41_70 ),
inference(resolution,[],[f759,f51]) ).
fof(f770,plain,
( ! [X0,X1] :
( p2(sK14(sK40(X0)))
| ~ r1(X1,sK40(X0))
| ~ r1(sK28,X1)
| ~ r1(sK28,X0)
| r1(sK28,sK10(sK28))
| p2(X0) )
| ~ spl41_2
| spl41_70 ),
inference(resolution,[],[f767,f118]) ).
fof(f771,plain,
( ! [X0,X1] :
( ~ r1(X1,sK40(X0))
| p2(sK14(sK40(X0)))
| ~ r1(sK28,X1)
| ~ r1(sK28,X0)
| p2(X0) )
| ~ spl41_2
| spl41_70 ),
inference(forward_subsumption_resolution,[],[f770,f555]) ).
fof(f772,plain,
( ! [X0] :
( p2(sK14(sK40(X0)))
| ~ r1(sK28,X0)
| ~ r1(sK28,X0)
| p2(X0)
| p2(X0)
| ~ r1(sK28,X0) )
| ~ spl41_2
| spl41_70 ),
inference(resolution,[],[f771,f85]) ).
fof(f774,plain,
( ! [X0] :
( p2(sK14(sK40(X0)))
| ~ r1(sK28,X0)
| p2(X0) )
| ~ spl41_2
| spl41_70 ),
inference(duplicate_literal_removal,[],[f772]) ).
fof(f775,plain,
( ! [X2,X0,X1] :
( ~ r1(sK28,X0)
| p2(X0)
| ~ r1(X1,sK40(X0))
| p2(sK40(X0))
| ~ r1(X2,X1)
| ~ sP4(X2) )
| ~ spl41_2
| spl41_70 ),
inference(resolution,[],[f774,f53]) ).
fof(f779,plain,
( ! [X2,X0,X1] :
( ~ sP4(X2)
| p2(X0)
| ~ r1(X1,sK40(X0))
| ~ r1(X2,X1)
| ~ r1(sK28,X0) )
| ~ spl41_2
| spl41_70 ),
inference(forward_subsumption_resolution,[],[f775,f84]) ).
fof(f782,plain,
( ! [X2,X0,X1] :
( ~ sP5(X2)
| ~ r1(X1,sK40(X0))
| ~ r1(X2,X1)
| ~ r1(sK28,X0)
| r1(X2,sK10(X2))
| p2(X0) )
| ~ spl41_2
| spl41_70 ),
inference(resolution,[],[f779,f51]) ).
fof(f783,plain,
( ! [X0,X1] :
( ~ r1(X0,sK40(X1))
| ~ r1(sK28,X0)
| ~ r1(sK28,X1)
| r1(sK28,sK10(sK28))
| p2(X1) )
| ~ spl41_2
| spl41_70 ),
inference(resolution,[],[f782,f118]) ).
fof(f784,plain,
( ! [X0,X1] :
( ~ r1(X0,sK40(X1))
| ~ r1(sK28,X0)
| ~ r1(sK28,X1)
| p2(X1) )
| ~ spl41_2
| spl41_70 ),
inference(forward_subsumption_resolution,[],[f783,f555]) ).
fof(f785,plain,
( ! [X0] :
( ~ r1(sK28,X0)
| ~ r1(sK28,X0)
| p2(X0)
| p2(X0)
| ~ r1(sK28,X0) )
| ~ spl41_2
| spl41_70 ),
inference(resolution,[],[f784,f85]) ).
fof(f787,plain,
( ! [X0] :
( ~ r1(sK28,X0)
| p2(X0) )
| ~ spl41_2
| spl41_70 ),
inference(duplicate_literal_removal,[],[f785]) ).
fof(f788,plain,
( spl41_20
| ~ spl41_2
| spl41_70 ),
inference(avatar_split_clause,[],[f787,f553,f116,f196]) ).
fof(f789,plain,
( ~ sP6(sK28)
| ~ spl41_20 ),
inference(forward_subsumption_resolution,[],[f290,f43]) ).
fof(f792,plain,
( $false
| ~ spl41_8
| ~ spl41_20 ),
inference(forward_subsumption_resolution,[],[f789,f145]) ).
fof(f793,plain,
( ~ spl41_8
| ~ spl41_20 ),
inference(avatar_contradiction_clause,[],[f792]) ).
fof(f799,plain,
( ! [X0,X1] :
( r1(X1,sK13(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK28,X0) )
| ~ spl41_36 ),
inference(resolution,[],[f324,f55]) ).
fof(f802,plain,
( ! [X2,X3,X0,X1,X4] :
( p2(sK40(X0))
| ~ r1(X1,sK40(X0))
| ~ r1(sK28,X1)
| p2(sK40(X0))
| ~ r1(X2,X3)
| ~ sP4(X2)
| p2(X0)
| ~ r1(X3,sK40(X0))
| ~ r1(sK13(sK40(X0)),X4)
| p2(X4)
| ~ r1(sK28,X0) )
| ~ spl41_36 ),
inference(resolution,[],[f799,f284]) ).
fof(f803,plain,
( ! [X2,X3,X0,X1,X4] :
( p2(sK40(X0))
| ~ r1(X1,sK40(X0))
| ~ r1(sK28,X1)
| ~ r1(X2,X3)
| ~ sP4(X2)
| p2(X0)
| ~ r1(X3,sK40(X0))
| ~ r1(sK13(sK40(X0)),X4)
| p2(X4)
| ~ r1(sK28,X0) )
| ~ spl41_36 ),
inference(duplicate_literal_removal,[],[f802]) ).
fof(f805,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sP4(X2)
| ~ r1(sK28,X1)
| ~ r1(X2,X3)
| ~ r1(X1,sK40(X0))
| p2(X0)
| ~ r1(X3,sK40(X0))
| ~ r1(sK13(sK40(X0)),X4)
| p2(X4)
| ~ r1(sK28,X0) )
| ~ spl41_36 ),
inference(forward_subsumption_resolution,[],[f803,f84]) ).
fof(f821,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0,sK40(X2))
| ~ r1(sK28,X1)
| ~ r1(sK28,X0)
| p2(X2)
| ~ r1(X1,sK40(X2))
| ~ r1(sK13(sK40(X2)),X3)
| p2(X3)
| ~ r1(sK28,X2) )
| ~ spl41_36 ),
inference(resolution,[],[f805,f324]) ).
fof(f822,plain,
( ! [X2,X0,X1] :
( ~ r1(sK28,X0)
| ~ r1(sK28,X1)
| p2(X1)
| ~ r1(X0,sK40(X1))
| ~ r1(sK13(sK40(X1)),X2)
| p2(X2)
| ~ r1(sK28,X1)
| p2(X1)
| ~ r1(sK28,X1) )
| ~ spl41_36 ),
inference(resolution,[],[f821,f85]) ).
fof(f824,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,sK40(X1))
| ~ r1(sK28,X1)
| p2(X1)
| ~ r1(sK28,X0)
| ~ r1(sK13(sK40(X1)),X2)
| p2(X2) )
| ~ spl41_36 ),
inference(duplicate_literal_removal,[],[f822]) ).
fof(f825,plain,
( ! [X0,X1] :
( ~ r1(sK28,X0)
| p2(X0)
| ~ r1(sK28,X0)
| ~ r1(sK13(sK40(X0)),X1)
| p2(X1)
| p2(X0)
| ~ r1(sK28,X0) )
| ~ spl41_36 ),
inference(resolution,[],[f824,f85]) ).
fof(f827,plain,
( ! [X0,X1] :
( ~ r1(sK13(sK40(X0)),X1)
| p2(X0)
| ~ r1(sK28,X0)
| p2(X1) )
| ~ spl41_36 ),
inference(duplicate_literal_removal,[],[f825]) ).
fof(f828,plain,
( ! [X2,X0,X1] :
( p2(X0)
| ~ r1(sK28,X0)
| p2(sK14(sK40(X0)))
| ~ r1(X1,sK40(X0))
| p2(sK40(X0))
| ~ r1(X2,X1)
| ~ sP4(X2) )
| ~ spl41_36 ),
inference(resolution,[],[f827,f54]) ).
fof(f842,plain,
( ! [X2,X0,X1] :
( ~ sP4(X2)
| ~ r1(sK28,X0)
| p2(sK14(sK40(X0)))
| ~ r1(X1,sK40(X0))
| ~ r1(X2,X1)
| p2(X0) )
| ~ spl41_36 ),
inference(forward_subsumption_resolution,[],[f828,f84]) ).
fof(f850,plain,
( ! [X0,X1] :
( ~ r1(X1,sK40(X0))
| p2(sK14(sK40(X0)))
| ~ r1(sK28,X0)
| ~ r1(sK28,X1)
| p2(X0) )
| ~ spl41_36 ),
inference(resolution,[],[f842,f324]) ).
fof(f851,plain,
( ! [X0] :
( p2(sK14(sK40(X0)))
| ~ r1(sK28,X0)
| ~ r1(sK28,X0)
| p2(X0)
| p2(X0)
| ~ r1(sK28,X0) )
| ~ spl41_36 ),
inference(resolution,[],[f850,f85]) ).
fof(f853,plain,
( ! [X0] :
( p2(sK14(sK40(X0)))
| ~ r1(sK28,X0)
| p2(X0) )
| ~ spl41_36 ),
inference(duplicate_literal_removal,[],[f851]) ).
fof(f854,plain,
( ! [X2,X0,X1] :
( ~ r1(sK28,X0)
| p2(X0)
| ~ r1(X1,sK40(X0))
| p2(sK40(X0))
| ~ r1(X2,X1)
| ~ sP4(X2) )
| ~ spl41_36 ),
inference(resolution,[],[f853,f53]) ).
fof(f857,plain,
( ! [X2,X0,X1] :
( ~ sP4(X2)
| p2(X0)
| ~ r1(X1,sK40(X0))
| ~ r1(X2,X1)
| ~ r1(sK28,X0) )
| ~ spl41_36 ),
inference(forward_subsumption_resolution,[],[f854,f84]) ).
fof(f863,plain,
( ! [X0,X1] :
( ~ r1(X1,sK40(X0))
| p2(X0)
| ~ r1(sK28,X1)
| ~ r1(sK28,X0) )
| ~ spl41_36 ),
inference(resolution,[],[f857,f324]) ).
fof(f864,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK28,X0)
| ~ r1(sK28,X0)
| p2(X0)
| ~ r1(sK28,X0) )
| ~ spl41_36 ),
inference(resolution,[],[f863,f85]) ).
fof(f866,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK28,X0) )
| ~ spl41_36 ),
inference(duplicate_literal_removal,[],[f864]) ).
fof(f867,plain,
( spl41_20
| ~ spl41_36 ),
inference(avatar_split_clause,[],[f866,f322,f196]) ).
fof(f930,plain,
( ! [X2,X0,X1] :
( ~ r1(sK10(sK28),sK8(X0))
| p2(X1)
| ~ r1(sK8(X0),X1)
| p2(X0)
| ~ r1(X2,X0)
| ~ sP6(X2) )
| ~ spl41_37 ),
inference(resolution,[],[f327,f39]) ).
fof(f946,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK8(sK10(sK28)),X0)
| p2(sK10(sK28))
| ~ r1(X1,sK10(sK28))
| ~ sP6(X1)
| p2(sK10(sK28))
| ~ r1(sK28,sK10(sK28)) )
| ~ spl41_8
| ~ spl41_37 ),
inference(resolution,[],[f930,f392]) ).
fof(f947,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK8(sK10(sK28)),X0)
| p2(sK10(sK28))
| ~ r1(X1,sK10(sK28))
| ~ sP6(X1)
| ~ r1(sK28,sK10(sK28)) )
| ~ spl41_8
| ~ spl41_37 ),
inference(duplicate_literal_removal,[],[f946]) ).
fof(f948,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK8(sK10(sK28)),X0)
| ~ r1(X1,sK10(sK28))
| ~ sP6(X1)
| ~ r1(sK28,sK10(sK28)) )
| ~ spl41_8
| ~ spl41_37
| spl41_69 ),
inference(forward_subsumption_resolution,[],[f947,f550]) ).
fof(f949,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK8(sK10(sK28)),X0)
| ~ r1(X1,sK10(sK28))
| ~ sP6(X1) )
| ~ spl41_8
| ~ spl41_37
| spl41_69
| ~ spl41_70 ),
inference(forward_subsumption_resolution,[],[f948,f554]) ).
fof(f951,definition,
( spl41_114
<=> ! [X1] :
( ~ r1(X1,sK10(sK28))
| ~ sP6(X1) ) ),
introduced(definition,[new_symbols(definition,[spl41_114])],[avatar_definition]) ).
fof(f952,plain,
( ! [X1] :
( ~ sP6(X1)
| ~ r1(X1,sK10(sK28)) )
| ~ spl41_114 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f954,definition,
( spl41_115
<=> ! [X0] :
( p2(X0)
| ~ r1(sK8(sK10(sK28)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl41_115])],[avatar_definition]) ).
fof(f955,plain,
( ! [X0] :
( ~ r1(sK8(sK10(sK28)),X0)
| p2(X0) )
| ~ spl41_115 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f956,plain,
( spl41_114
| spl41_115
| ~ spl41_8
| ~ spl41_37
| spl41_69
| ~ spl41_70 ),
inference(avatar_split_clause,[],[f949,f553,f549,f326,f143,f954,f951]) ).
fof(f957,plain,
( ! [X0] :
( p2(sK9(sK10(sK28)))
| p2(sK10(sK28))
| ~ r1(X0,sK10(sK28))
| ~ sP6(X0) )
| ~ spl41_115 ),
inference(resolution,[],[f955,f41]) ).
fof(f1018,plain,
( ! [X0] :
( p2(sK10(sK28))
| ~ r1(X0,sK10(sK28))
| ~ sP6(X0) )
| ~ spl41_115 ),
inference(forward_subsumption_resolution,[],[f957,f40]) ).
fof(f1020,plain,
( ! [X0] :
( ~ r1(X0,sK10(sK28))
| ~ sP6(X0) )
| spl41_69
| ~ spl41_115 ),
inference(forward_subsumption_resolution,[],[f1018,f550]) ).
fof(f1021,plain,
( spl41_114
| spl41_69
| ~ spl41_115 ),
inference(avatar_split_clause,[],[f1020,f954,f549,f951]) ).
fof(f1022,plain,
( ~ r1(sK28,sK10(sK28))
| ~ spl41_8
| ~ spl41_114 ),
inference(resolution,[],[f952,f145]) ).
fof(f1023,plain,
( $false
| ~ spl41_8
| ~ spl41_70
| ~ spl41_114 ),
inference(forward_subsumption_resolution,[],[f1022,f554]) ).
fof(f1024,plain,
( ~ spl41_8
| ~ spl41_70
| ~ spl41_114 ),
inference(avatar_contradiction_clause,[],[f1023]) ).
fof(f1030,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK16(sK39),X0) )
| ~ spl41_5 ),
inference(resolution,[],[f130,f60]) ).
fof(f1031,plain,
( ! [X0] :
( r1(X0,sK17(X0))
| p2(X0)
| ~ r1(sK39,X0) )
| ~ spl41_5 ),
inference(resolution,[],[f130,f59]) ).
fof(f1032,plain,
( ! [X0] :
( p2(sK17(X0))
| p2(X0)
| ~ r1(sK39,X0) )
| ~ spl41_5 ),
inference(resolution,[],[f130,f56]) ).
fof(f1033,plain,
( r1(sK39,sK15(sK39))
| ~ spl41_5 ),
inference(resolution,[],[f130,f63]) ).
fof(f1044,plain,
( ! [X2,X3,X0,X1] :
( r1(X3,sK20(X3))
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(X2,X0)
| sP1(X2)
| ~ r1(sK39,X2)
| p2(X3)
| ~ p2(X0)
| ~ r1(X2,X3) )
| ~ spl41_1 ),
inference(resolution,[],[f114,f67]) ).
fof(f1045,plain,
( ! [X2,X3,X0,X1] :
( p2(sK20(X3))
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(X2,X0)
| sP1(X2)
| ~ r1(sK39,X2)
| p2(X3)
| ~ p2(X0)
| ~ r1(X2,X3) )
| ~ spl41_1 ),
inference(resolution,[],[f114,f64]) ).
fof(f1129,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(sK16(sK39),sK20(X3))
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| sP1(X2)
| ~ r1(sK39,X2)
| p2(X3)
| ~ p2(X1)
| ~ r1(X2,X3)
| p2(X4)
| ~ r1(sK20(X3),X4)
| p2(X0) )
| ~ spl41_1
| ~ spl41_5 ),
inference(resolution,[],[f1045,f1030]) ).
fof(f1179,definition,
( spl41_146
<=> p2(sK16(sK39)) ),
introduced(definition,[new_symbols(definition,[spl41_146])],[avatar_definition]) ).
fof(f1180,plain,
( ~ p2(sK16(sK39))
| spl41_146 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f1181,plain,
( p2(sK16(sK39))
| ~ spl41_146 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f1212,definition,
( spl41_151
<=> ! [X1] :
( p2(X1)
| ~ r1(sK20(sK16(sK39)),X1) ) ),
introduced(definition,[new_symbols(definition,[spl41_151])],[avatar_definition]) ).
fof(f1213,plain,
( ! [X1] :
( ~ r1(sK20(sK16(sK39)),X1)
| p2(X1) )
| ~ spl41_151 ),
inference(avatar_component_clause,[],[f1212]) ).
fof(f1216,definition,
( spl41_152
<=> ! [X2,X3,X4] :
( p2(X2)
| ~ r1(X4,sK16(sK39))
| ~ p2(X3)
| ~ r1(sK39,X4)
| sP1(X4)
| ~ r1(X4,X3)
| ~ r1(X3,X2) ) ),
introduced(definition,[new_symbols(definition,[spl41_152])],[avatar_definition]) ).
fof(f1217,plain,
( ! [X2,X3,X4] :
( ~ r1(X4,sK16(sK39))
| p2(X2)
| ~ p2(X3)
| ~ r1(sK39,X4)
| sP1(X4)
| ~ r1(X4,X3)
| ~ r1(X3,X2) )
| ~ spl41_152 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f1224,definition,
( spl41_153
<=> p2(sK15(sK39)) ),
introduced(definition,[new_symbols(definition,[spl41_153])],[avatar_definition]) ).
fof(f1225,plain,
( p2(sK15(sK39))
| ~ spl41_153 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f1226,plain,
( ~ p2(sK15(sK39))
| spl41_153 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f1228,definition,
( spl41_154
<=> sP1(sK15(sK39)) ),
introduced(definition,[new_symbols(definition,[spl41_154])],[avatar_definition]) ).
fof(f1230,plain,
( sP1(sK15(sK39))
| ~ spl41_154 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f1340,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| sP1(X2)
| ~ r1(sK39,X2)
| p2(sK16(sK39))
| ~ p2(X0)
| ~ r1(X2,sK16(sK39))
| p2(X3)
| ~ r1(sK20(sK16(sK39)),X3)
| p2(X1)
| p2(X4)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| sP1(X6)
| ~ r1(sK39,X6)
| p2(sK16(sK39))
| ~ p2(X5)
| ~ r1(X6,sK16(sK39)) )
| ~ spl41_1
| ~ spl41_5 ),
inference(resolution,[],[f1129,f1044]) ).
fof(f1343,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| sP1(X2)
| ~ r1(sK39,X2)
| p2(sK16(sK39))
| ~ p2(X0)
| ~ r1(X2,sK16(sK39))
| p2(X3)
| ~ r1(sK20(sK16(sK39)),X3)
| p2(X1)
| p2(X4)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| sP1(X6)
| ~ r1(sK39,X6)
| ~ p2(X5)
| ~ r1(X6,sK16(sK39)) )
| ~ spl41_1
| ~ spl41_5 ),
inference(duplicate_literal_removal,[],[f1340]) ).
fof(f1344,plain,
( spl41_152
| spl41_151
| spl41_146
| spl41_152
| ~ spl41_1
| ~ spl41_5 ),
inference(avatar_split_clause,[],[f1343,f128,f113,f1216,f1179,f1212,f1216]) ).
fof(f1345,plain,
( ~ sP3(sK39)
| ~ spl41_146 ),
inference(resolution,[],[f1181,f61]) ).
fof(f1362,plain,
( $false
| ~ spl41_5
| ~ spl41_146 ),
inference(forward_subsumption_resolution,[],[f1345,f130]) ).
fof(f1363,plain,
( ~ spl41_5
| ~ spl41_146 ),
inference(avatar_contradiction_clause,[],[f1362]) ).
fof(f1392,plain,
( ! [X0] :
( p2(sK21(sK16(sK39)))
| p2(sK16(sK39))
| ~ r1(X0,sK16(sK39))
| ~ sP2(X0) )
| ~ spl41_151 ),
inference(resolution,[],[f1213,f66]) ).
fof(f1476,plain,
( ! [X0] :
( p2(sK16(sK39))
| ~ r1(X0,sK16(sK39))
| ~ sP2(X0) )
| ~ spl41_151 ),
inference(forward_subsumption_resolution,[],[f1392,f65]) ).
fof(f1478,plain,
( ! [X0] :
( ~ sP2(X0)
| ~ r1(X0,sK16(sK39)) )
| spl41_146
| ~ spl41_151 ),
inference(forward_subsumption_resolution,[],[f1476,f1180]) ).
fof(f1508,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,sK16(sK39))
| ~ p2(X1)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| sP1(X0)
| ~ r1(sK39,X0) )
| ~ spl41_1
| spl41_146
| ~ spl41_151 ),
inference(resolution,[],[f1478,f114]) ).
fof(f1510,plain,
( spl41_152
| ~ spl41_1
| spl41_146
| ~ spl41_151 ),
inference(avatar_split_clause,[],[f1508,f1212,f1179,f113,f1216]) ).
fof(f1512,plain,
( ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| ~ r1(sK39,sK15(sK39))
| sP1(sK15(sK39))
| ~ r1(sK15(sK39),X1)
| ~ r1(X1,X0)
| ~ sP3(sK39) )
| ~ spl41_152 ),
inference(resolution,[],[f1217,f62]) ).
fof(f1513,plain,
( ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| sP1(sK15(sK39))
| ~ r1(sK15(sK39),X1)
| ~ r1(X1,X0)
| ~ sP3(sK39) )
| ~ spl41_152 ),
inference(forward_subsumption_resolution,[],[f1512,f63]) ).
fof(f1514,plain,
( ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| sP1(sK15(sK39))
| ~ r1(sK15(sK39),X1)
| ~ r1(X1,X0) )
| ~ spl41_5
| ~ spl41_152 ),
inference(forward_subsumption_resolution,[],[f1513,f130]) ).
fof(f1516,definition,
( spl41_191
<=> ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| ~ r1(X1,X0)
| ~ r1(sK15(sK39),X1) ) ),
introduced(definition,[new_symbols(definition,[spl41_191])],[avatar_definition]) ).
fof(f1517,plain,
( ! [X0,X1] :
( ~ r1(sK15(sK39),X1)
| ~ p2(X1)
| ~ r1(X1,X0)
| p2(X0) )
| ~ spl41_191 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f1518,plain,
( spl41_154
| spl41_191
| ~ spl41_5
| ~ spl41_152 ),
inference(avatar_split_clause,[],[f1514,f1216,f128,f1516,f1228]) ).
fof(f1520,plain,
( ! [X0] :
( r1(X0,sK24(X0))
| p2(X0)
| ~ r1(sK15(sK39),X0) )
| ~ spl41_154 ),
inference(resolution,[],[f1230,f74]) ).
fof(f1521,plain,
( ! [X0] :
( p2(sK24(X0))
| p2(X0)
| ~ r1(sK15(sK39),X0) )
| ~ spl41_154 ),
inference(resolution,[],[f1230,f71]) ).
fof(f1857,plain,
( ! [X0,X1] :
( ~ r1(sK16(sK39),sK24(X0))
| ~ r1(sK15(sK39),X0)
| p2(X1)
| ~ r1(sK24(X0),X1)
| p2(X0) )
| ~ spl41_5
| ~ spl41_154 ),
inference(resolution,[],[f1521,f1030]) ).
fof(f3114,plain,
( ! [X0] :
( ~ r1(sK15(sK39),sK16(sK39))
| p2(X0)
| ~ r1(sK24(sK16(sK39)),X0)
| p2(sK16(sK39))
| p2(sK16(sK39))
| ~ r1(sK15(sK39),sK16(sK39)) )
| ~ spl41_5
| ~ spl41_154 ),
inference(resolution,[],[f1857,f1520]) ).
fof(f3115,plain,
( ! [X0] :
( ~ r1(sK15(sK39),sK16(sK39))
| p2(X0)
| ~ r1(sK24(sK16(sK39)),X0)
| p2(sK16(sK39)) )
| ~ spl41_5
| ~ spl41_154 ),
inference(duplicate_literal_removal,[],[f3114]) ).
fof(f3116,plain,
( ! [X0] :
( ~ r1(sK15(sK39),sK16(sK39))
| p2(X0)
| ~ r1(sK24(sK16(sK39)),X0) )
| ~ spl41_5
| spl41_146
| ~ spl41_154 ),
inference(forward_subsumption_resolution,[],[f3115,f1180]) ).
fof(f3118,definition,
( spl41_404
<=> ! [X0] :
( p2(X0)
| ~ r1(sK24(sK16(sK39)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl41_404])],[avatar_definition]) ).
fof(f3119,plain,
( ! [X0] :
( ~ r1(sK24(sK16(sK39)),X0)
| p2(X0) )
| ~ spl41_404 ),
inference(avatar_component_clause,[],[f3118]) ).
fof(f3121,definition,
( spl41_405
<=> r1(sK15(sK39),sK16(sK39)) ),
introduced(definition,[new_symbols(definition,[spl41_405])],[avatar_definition]) ).
fof(f3122,plain,
( r1(sK15(sK39),sK16(sK39))
| ~ spl41_405 ),
inference(avatar_component_clause,[],[f3121]) ).
fof(f3123,plain,
( ~ r1(sK15(sK39),sK16(sK39))
| spl41_405 ),
inference(avatar_component_clause,[],[f3121]) ).
fof(f3124,plain,
( spl41_404
| ~ spl41_405
| ~ spl41_5
| spl41_146
| ~ spl41_154 ),
inference(avatar_split_clause,[],[f3116,f1228,f1179,f128,f3121,f3118]) ).
fof(f3125,plain,
( ~ sP3(sK39)
| spl41_405 ),
inference(resolution,[],[f3123,f62]) ).
fof(f3126,plain,
( $false
| ~ spl41_5
| spl41_405 ),
inference(forward_subsumption_resolution,[],[f3125,f130]) ).
fof(f3127,plain,
( ~ spl41_5
| spl41_405 ),
inference(avatar_contradiction_clause,[],[f3126]) ).
fof(f3312,plain,
( ! [X0] :
( p2(sK25(sK16(sK39)))
| p2(sK16(sK39))
| ~ r1(X0,sK16(sK39))
| ~ sP1(X0) )
| ~ spl41_404 ),
inference(resolution,[],[f3119,f73]) ).
fof(f3397,plain,
( ! [X0] :
( p2(sK16(sK39))
| ~ r1(X0,sK16(sK39))
| ~ sP1(X0) )
| ~ spl41_404 ),
inference(forward_subsumption_resolution,[],[f3312,f72]) ).
fof(f3399,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ r1(X0,sK16(sK39)) )
| spl41_146
| ~ spl41_404 ),
inference(forward_subsumption_resolution,[],[f3397,f1180]) ).
fof(f3473,plain,
( ! [X0] :
( ~ p2(sK15(sK39))
| ~ r1(sK15(sK39),X0)
| p2(X0) )
| ~ spl41_191 ),
inference(resolution,[],[f1517,f111]) ).
fof(f3477,plain,
( ! [X0] :
( ~ p2(sK17(sK15(sK39)))
| ~ r1(sK17(sK15(sK39)),X0)
| p2(X0)
| p2(sK15(sK39))
| ~ r1(sK39,sK15(sK39)) )
| ~ spl41_5
| ~ spl41_191 ),
inference(resolution,[],[f1517,f1031]) ).
fof(f3531,plain,
( ! [X0] :
( ~ r1(sK17(sK15(sK39)),X0)
| p2(X0)
| p2(sK15(sK39))
| ~ r1(sK39,sK15(sK39)) )
| ~ spl41_5
| ~ spl41_191 ),
inference(forward_subsumption_resolution,[],[f3477,f1032]) ).
fof(f3552,plain,
( ! [X0] :
( ~ r1(sK17(sK15(sK39)),X0)
| p2(X0)
| ~ r1(sK39,sK15(sK39)) )
| ~ spl41_5
| spl41_153
| ~ spl41_191 ),
inference(forward_subsumption_resolution,[],[f3531,f1226]) ).
fof(f3580,plain,
( ! [X0] :
( ~ r1(sK17(sK15(sK39)),X0)
| p2(X0) )
| ~ spl41_5
| spl41_153
| ~ spl41_191 ),
inference(forward_subsumption_resolution,[],[f3552,f1033]) ).
fof(f3601,plain,
( ~ r1(sK15(sK39),sK16(sK39))
| spl41_146
| ~ spl41_154
| ~ spl41_404 ),
inference(resolution,[],[f3399,f1230]) ).
fof(f3602,plain,
( $false
| spl41_146
| ~ spl41_154
| ~ spl41_404
| ~ spl41_405 ),
inference(forward_subsumption_resolution,[],[f3601,f3122]) ).
fof(f3603,plain,
( spl41_146
| ~ spl41_154
| ~ spl41_404
| ~ spl41_405 ),
inference(avatar_contradiction_clause,[],[f3602]) ).
fof(f3841,plain,
( ! [X0] :
( ~ r1(sK15(sK39),X0)
| p2(X0) )
| ~ spl41_153
| ~ spl41_191 ),
inference(forward_subsumption_resolution,[],[f3473,f1225]) ).
fof(f3851,plain,
( p2(sK16(sK39))
| ~ sP3(sK39)
| ~ spl41_153
| ~ spl41_191 ),
inference(resolution,[],[f3841,f62]) ).
fof(f3875,plain,
( ~ sP3(sK39)
| ~ spl41_153
| ~ spl41_191 ),
inference(forward_subsumption_resolution,[],[f3851,f61]) ).
fof(f3880,plain,
( $false
| ~ spl41_5
| ~ spl41_153
| ~ spl41_191 ),
inference(forward_subsumption_resolution,[],[f3875,f130]) ).
fof(f3881,plain,
( ~ spl41_5
| ~ spl41_153
| ~ spl41_191 ),
inference(avatar_contradiction_clause,[],[f3880]) ).
fof(f3891,plain,
( ! [X0] :
( p2(sK18(sK15(sK39)))
| p2(sK15(sK39))
| ~ r1(X0,sK15(sK39))
| ~ sP3(X0) )
| ~ spl41_5
| spl41_153
| ~ spl41_191 ),
inference(resolution,[],[f3580,f58]) ).
fof(f3977,plain,
( ! [X0] :
( p2(sK15(sK39))
| ~ r1(X0,sK15(sK39))
| ~ sP3(X0) )
| ~ spl41_5
| spl41_153
| ~ spl41_191 ),
inference(forward_subsumption_resolution,[],[f3891,f57]) ).
fof(f3980,plain,
( ! [X0] :
( ~ sP3(X0)
| ~ r1(X0,sK15(sK39)) )
| ~ spl41_5
| spl41_153
| ~ spl41_191 ),
inference(forward_subsumption_resolution,[],[f3977,f1226]) ).
fof(f4059,plain,
( ~ r1(sK39,sK15(sK39))
| ~ spl41_5
| spl41_153
| ~ spl41_191 ),
inference(resolution,[],[f3980,f130]) ).
fof(f4060,plain,
( $false
| ~ spl41_5
| spl41_153
| ~ spl41_191 ),
inference(forward_subsumption_resolution,[],[f4059,f1033]) ).
fof(f4061,plain,
( ~ spl41_5
| spl41_153
| ~ spl41_191 ),
inference(avatar_contradiction_clause,[],[f4060]) ).
fof(f4130,plain,
( ~ r1(sK28,sK10(sK28))
| p2(sK10(sK28))
| p2(sK31(sK10(sK28)))
| ~ spl41_14
| ~ spl41_71 ),
inference(resolution,[],[f167,f558]) ).
fof(f4131,plain,
( ~ r1(sK28,sK10(sK28))
| p2(sK10(sK28))
| ~ spl41_13
| ~ spl41_14
| ~ spl41_71 ),
inference(forward_subsumption_resolution,[],[f4130,f163]) ).
fof(f4133,plain,
( p2(sK10(sK28))
| ~ spl41_13
| ~ spl41_14
| ~ spl41_70
| ~ spl41_71 ),
inference(forward_subsumption_resolution,[],[f4131,f554]) ).
fof(f4135,plain,
( $false
| ~ spl41_13
| ~ spl41_14
| spl41_69
| ~ spl41_70
| ~ spl41_71 ),
inference(forward_subsumption_resolution,[],[f4133,f550]) ).
fof(f4136,plain,
( ~ spl41_13
| ~ spl41_14
| spl41_69
| ~ spl41_70
| ~ spl41_71 ),
inference(avatar_contradiction_clause,[],[f4135]) ).
cnf(s1,plain,
( spl41_1
| spl41_2 ),
inference(sat_conversion,[],[f119]) ).
cnf(s3,plain,
( spl41_2
| spl41_4
| spl41_5 ),
inference(sat_conversion,[],[f131]) ).
cnf(s4,plain,
( spl41_2
| spl41_5
| ~ spl41_6 ),
inference(sat_conversion,[],[f136]) ).
cnf(s5,plain,
( spl41_2
| spl41_7 ),
inference(sat_conversion,[],[f141]) ).
cnf(s6,plain,
( spl41_8
| spl41_9 ),
inference(sat_conversion,[],[f149]) ).
cnf(s7,plain,
( spl41_8
| spl41_10 ),
inference(sat_conversion,[],[f153]) ).
cnf(s8,plain,
( spl41_11
| spl41_12 ),
inference(sat_conversion,[],[f160]) ).
cnf(s9,plain,
( spl41_12
| spl41_13 ),
inference(sat_conversion,[],[f164]) ).
cnf(s10,plain,
( spl41_12
| spl41_14 ),
inference(sat_conversion,[],[f168]) ).
cnf(s11,plain,
( spl41_12
| spl41_15 ),
inference(sat_conversion,[],[f172]) ).
cnf(s12,plain,
( spl41_12
| ~ spl41_16 ),
inference(sat_conversion,[],[f177]) ).
cnf(s13,plain,
( spl41_12
| spl41_17 ),
inference(sat_conversion,[],[f182]) ).
cnf(s17,plain,
( ~ spl41_9
| ~ spl41_10
| ~ spl41_12 ),
inference(sat_conversion,[],[f222]) ).
cnf(s23,plain,
( spl41_16
| ~ spl41_17
| ~ spl41_20 ),
inference(sat_conversion,[],[f300]) ).
cnf(s26,plain,
( ~ spl41_2
| spl41_36
| spl41_37 ),
inference(sat_conversion,[],[f328]) ).
cnf(s31,plain,
( ~ spl41_4
| spl41_6
| ~ spl41_7
| ~ spl41_11
| ~ spl41_13
| ~ spl41_14
| ~ spl41_15 ),
inference(sat_conversion,[],[f391]) ).
cnf(s36,plain,
( ~ spl41_4
| spl41_6
| ~ spl41_7
| ~ spl41_8
| spl41_52
| spl41_53 ),
inference(sat_conversion,[],[f441]) ).
cnf(s37,plain,
( ~ spl41_7
| ~ spl41_8
| ~ spl41_52 ),
inference(sat_conversion,[],[f444]) ).
cnf(s45,plain,
( spl41_6
| spl41_52
| ~ spl41_53 ),
inference(sat_conversion,[],[f512]) ).
cnf(s48,plain,
( ~ spl41_11
| ~ spl41_15
| ~ spl41_37
| spl41_69
| ~ spl41_70
| spl41_71 ),
inference(sat_conversion,[],[f559]) ).
cnf(s53,plain,
( ~ spl41_2
| spl41_36
| ~ spl41_69 ),
inference(sat_conversion,[],[f599]) ).
cnf(s69,plain,
( ~ spl41_2
| spl41_20
| spl41_70 ),
inference(sat_conversion,[],[f788]) ).
cnf(s72,plain,
( ~ spl41_8
| ~ spl41_20 ),
inference(sat_conversion,[],[f793]) ).
cnf(s77,plain,
( spl41_20
| ~ spl41_36 ),
inference(sat_conversion,[],[f867]) ).
cnf(s86,plain,
( ~ spl41_8
| ~ spl41_37
| spl41_69
| ~ spl41_70
| spl41_114
| spl41_115 ),
inference(sat_conversion,[],[f956]) ).
cnf(s94,plain,
( spl41_69
| spl41_114
| ~ spl41_115 ),
inference(sat_conversion,[],[f1021]) ).
cnf(s95,plain,
( ~ spl41_8
| ~ spl41_70
| ~ spl41_114 ),
inference(sat_conversion,[],[f1024]) ).
cnf(s132,plain,
( spl41_152
| ~ spl41_5
| spl41_146
| spl41_151
| ~ spl41_1
| spl41_152 ),
inference(sat_conversion,[],[f1344]) ).
cnf(s133,plain,
( ~ spl41_1
| ~ spl41_5
| spl41_146
| spl41_151
| spl41_152 ),
inference(rat,[],[s132]) ).
cnf(s136,plain,
( ~ spl41_5
| ~ spl41_146 ),
inference(sat_conversion,[],[f1363]) ).
cnf(s149,plain,
( ~ spl41_1
| spl41_146
| ~ spl41_151
| spl41_152 ),
inference(sat_conversion,[],[f1510]) ).
cnf(s150,plain,
( ~ spl41_5
| ~ spl41_152
| spl41_154
| spl41_191 ),
inference(sat_conversion,[],[f1518]) ).
cnf(s309,plain,
( ~ spl41_5
| spl41_146
| ~ spl41_154
| spl41_404
| ~ spl41_405 ),
inference(sat_conversion,[],[f3124]) ).
cnf(s310,plain,
( ~ spl41_5
| spl41_405 ),
inference(sat_conversion,[],[f3127]) ).
cnf(s352,plain,
( spl41_146
| ~ spl41_154
| ~ spl41_404
| ~ spl41_405 ),
inference(sat_conversion,[],[f3603]) ).
cnf(s380,plain,
( ~ spl41_5
| ~ spl41_153
| ~ spl41_191 ),
inference(sat_conversion,[],[f3881]) ).
cnf(s404,plain,
( ~ spl41_5
| spl41_153
| ~ spl41_191 ),
inference(sat_conversion,[],[f4061]) ).
cnf(s418,plain,
( ~ spl41_13
| ~ spl41_14
| spl41_69
| ~ spl41_70
| ~ spl41_71 ),
inference(sat_conversion,[],[f4136]) ).
cnf(s419,plain,
( spl41_12
| ~ spl41_2 ),
inference(rat,[],[s48,s418,s26,s53,s69,s77,s23,s8,s9,s10,s11,s12,s13]) ).
cnf(s420,plain,
( spl41_8
| ~ spl41_12 ),
inference(rat,[],[s17,s6,s7]) ).
cnf(s421,plain,
( ~ spl41_37
| spl41_69
| ~ spl41_8
| ~ spl41_70
| spl41_114 ),
inference(rat,[],[s94,s86]) ).
cnf(s422,plain,
~ spl41_2,
inference(rat,[],[s421,s95,s26,s53,s69,s77,s72,s420,s419]) ).
cnf(s423,plain,
spl41_7,
inference(rat,[],[s5,s422]) ).
cnf(s425,plain,
spl41_1,
inference(rat,[],[s1,s422]) ).
cnf(s429,plain,
( ~ spl41_154
| ~ spl41_5 ),
inference(rat,[],[s309,s352,s310,s136]) ).
cnf(s430,plain,
( ~ spl41_191
| ~ spl41_5 ),
inference(rat,[],[s404,s380]) ).
cnf(s431,plain,
~ spl41_5,
inference(rat,[],[s133,s149,s150,s430,s429,s136,s425]) ).
cnf(s432,plain,
~ spl41_6,
inference(rat,[],[s4,s422,s431]) ).
cnf(s433,plain,
spl41_4,
inference(rat,[],[s3,s422,s431]) ).
cnf(s435,plain,
spl41_12,
inference(rat,[],[s31,s8,s9,s10,s11,s423,s433,s432]) ).
cnf(s436,plain,
spl41_8,
inference(rat,[],[s420,s435]) ).
cnf(s438,plain,
~ spl41_52,
inference(rat,[],[s37,s423,s436]) ).
cnf(s440,plain,
~ spl41_53,
inference(rat,[],[s45,s432,s438]) ).
cnf(s441,plain,
$false,
inference(rat,[],[s36,s436,s433,s432,s423,s440,s438]) ).
fof(f4137,plain,
$false,
inference(avatar_sat_refutation,[],[s441]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL660+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 16:17:35 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.12/1.44 % (2779998)Detected formulas, will run a generic FOF schedule.
% 5.12/1.44 % (2780009)dis-21_1_sil=8000:lcm=predicate:random_seed=1401106739: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)
% 5.12/1.44 % (2780008)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3815869993:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.12/1.44 % (2780007)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=46958516:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.12/1.44 % (2780005)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=403458468:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.12/1.44 % (2780006)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3770025817:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.12/1.44 % (2780003)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=2560368648:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.12/1.44 % (2780004)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=2089929995:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.12/1.44 % (2780009)Instruction limit reached!
% 5.12/1.44 % (2780009)------------------------------
% 5.12/1.44 % (2780009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/1.44 % (2780009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.44 % (2780009)CaDiCaL version: 2.1.3
% 5.12/1.44 % (2780009)Termination reason: Instruction limit
% 5.12/1.44 % (2780009)Termination phase: Saturation
% 5.12/1.44 % (2780009)Time elapsed: 0.027 s
% 5.12/1.44 % (2780009)Peak memory usage: 88 MB
% 5.12/1.44 % (2780009)Instructions burned: 131 (million)
% 5.12/1.44 % (2780006)Refutation not found, incomplete strategy
% 5.12/1.44 % (2780006)------------------------------
% 5.12/1.44 % (2780006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/1.44 % (2780006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.44 % (2780006)CaDiCaL version: 2.1.3
% 5.12/1.44 % (2780006)Termination reason: Refutation not found, incomplete strategy
% 5.12/1.44 % (2780006)Time elapsed: 0.042 s
% 5.12/1.44 % (2780006)Peak memory usage: 89 MB
% 5.12/1.44 % (2780006)Instructions burned: 74 (million)
% 5.12/1.44 % (2780007)Instruction limit reached!
% 5.12/1.44 % (2780007)------------------------------
% 5.12/1.44 % (2780007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/1.44 % (2780007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.44 % (2780007)CaDiCaL version: 2.1.3
% 5.12/1.44 % (2780007)Termination reason: Instruction limit
% 5.12/1.44 % (2780007)Termination phase: Saturation
% 5.12/1.44 % (2780007)Time elapsed: 0.064 s
% 5.12/1.44 % (2780007)Peak memory usage: 88 MB
% 5.12/1.44 % (2780007)Instructions burned: 120 (million)
% 5.12/1.44 % (2780008)Instruction limit reached!
% 5.12/1.44 % (2780008)------------------------------
% 5.12/1.44 % (2780008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/1.44 % (2780008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.44 % (2780008)CaDiCaL version: 2.1.3
% 5.12/1.44 % (2780008)Termination reason: Instruction limit
% 5.12/1.44 % (2780008)Termination phase: Saturation
% 5.12/1.44 % (2780008)Time elapsed: 0.086 s
% 5.12/1.44 % (2780008)Peak memory usage: 89 MB
% 5.12/1.44 % (2780008)Instructions burned: 140 (million)
% 5.12/1.44 % (2780017)lrs+10_1_sil=8000:sp=occurrence:random_seed=2766760518:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.12/1.44 % (2780018)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2253885873:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.12/1.44 % (2780017)Instruction limit reached!
% 5.12/1.44 % (2780017)------------------------------
% 5.12/1.44 % (2780017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/1.44 % (2780017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.44 % (2780017)CaDiCaL version: 2.1.3
% 5.12/1.44 % (2780017)Termination reason: Instruction limit
% 5.12/1.44 % (2780017)Termination phase: Saturation
% 5.12/1.44 % (2780017)Time elapsed: 0.082 s
% 5.12/1.44 % (2780017)Peak memory usage: 92 MB
% 5.12/1.44 % (2780017)Instructions burned: 287 (million)
% 5.12/1.44 % (2780018)Refutation not found, incomplete strategy
% 5.12/1.44 % (2780018)------------------------------
% 5.12/1.44 % (2780018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/1.44 % (2780018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.44 % (2780018)CaDiCaL version: 2.1.3
% 5.12/1.44 % (2780018)Termination reason: Refutation not found, incomplete strategy
% 5.12/1.44 % (2780018)Time elapsed: 0.007 s
% 5.12/1.44 % (2780018)Peak memory usage: 88 MB
% 5.12/1.44 % (2780018)Instructions burned: 11 (million)
% 5.12/1.44 % (2780019)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2980152743:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.12/1.44 % (2780006)------------------------------
% 5.12/1.44 % (2780006)------------------------------
% 5.12/1.44 % (2780022)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=2813620030:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 5.12/1.44 % (2780022)Refutation not found, incomplete strategy
% 5.12/1.44 % (2780022)------------------------------
% 5.12/1.44 % (2780022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/1.44 % (2780022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.44 % (2780022)CaDiCaL version: 2.1.3
% 5.12/1.44 % (2780022)Termination reason: Refutation not found, incomplete strategy
% 5.12/1.44 % (2780022)Time elapsed: 0.004 s
% 5.12/1.44 % (2780022)Peak memory usage: 88 MB
% 5.12/1.44 % (2780022)Instructions burned: 11 (million)
% 5.12/1.44 % (2780019)First to succeed.
% 5.12/1.44 % (2780019)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2779998"
% 5.12/1.44 % (2780024)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1070953034:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.12/1.44 % (2780018)------------------------------
% 5.12/1.44 % (2780018)------------------------------
% 5.12/1.44 % (2780024)Refutation not found, incomplete strategy
% 5.12/1.44 % (2780024)------------------------------
% 5.12/1.44 % (2780024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/1.44 % (2780024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.44 % (2780024)CaDiCaL version: 2.1.3
% 5.12/1.44 % (2780024)Termination reason: Refutation not found, incomplete strategy
% 5.12/1.44 % (2780024)Time elapsed: 0.034 s
% 5.12/1.44 % (2780024)Peak memory usage: 89 MB
% 5.12/1.44 % (2780024)Instructions burned: 58 (million)
% 5.12/1.44 % (2780022)------------------------------
% 5.12/1.44 % (2780022)------------------------------
% 5.12/1.44 % (2780027)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2872589128:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 5.12/1.44 % (2780028)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3201253461:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.12/1.44 % (2780019)Refutation found. Thanks to Tanya!
% 5.12/1.44 % SZS status Theorem for theBenchmark
% 5.12/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 6.17/1.63 % (2780019)------------------------------
% 6.17/1.63 % (2780019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.17/1.63 % (2780019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.63 % (2780019)CaDiCaL version: 2.1.3
% 6.17/1.63 % (2780019)Termination reason: Refutation
% 6.17/1.63 % (2780019)Time elapsed: 0.167 s
% 6.17/1.63 % (2780019)Peak memory usage: 92 MB
% 6.17/1.63 % (2780019)Instructions burned: 300 (million)
% 6.17/1.63 % (2780019)------------------------------
% 6.17/1.63 % (2780019)------------------------------
% 6.17/1.63 % (2779998)Success in time 0.825 s
% 6.17/1.63 % Vampire exiting
%------------------------------------------------------------------------------