%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL660+1.005 : 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 : n013.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 4.10s 1.59s
% Output : Refutation 5.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 47
% Syntax : Number of formulae : 395 ( 13 unt; 45 def)
% Number of atoms : 3557 ( 0 equ)
% Maximal formula atoms : 204 ( 9 avg)
% Number of connectives : 5384 (2222 ~;2577 |; 549 &)
% ( 36 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 52 ( 51 usr; 37 prp; 0-2 aty)
% Number of functors : 42 ( 42 usr; 13 con; 0-1 aty)
% Number of variables : 1221 ( 0 sgn1017 !; 204 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p5(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)
| p3(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p3(X0) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p5(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/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p5(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)
| p3(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p3(X0) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p5(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)],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p5(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)
| p3(X6) )
| ~ ! [X7] :
( ~ r1(X0,X7)
| p3(X7)
| ~ ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| p3(X9) )
| ~ p3(X8) ) )
| ( ~ ! [X10] :
( ~ r1(X0,X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ~ p5(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) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X59] :
( ~ r1(X0,X59)
| $false )
| ~ ! [X60] :
( ~ r1(X0,X60)
| p4(X60)
| p3(X60)
| p2(X60)
| p1(X60)
| ! [X61] :
( ~ r1(X60,X61)
| $false )
| ~ ! [X62] :
( ~ r1(X60,X62)
| ! [X63] :
( ~ r1(X62,X63)
| p4(X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] :
( ~ r1(X63,X64)
| $false ) )
| ~ ( p4(X62)
| p3(X62)
| p2(X62)
| p1(X62)
| ! [X65] :
( ~ r1(X62,X65)
| $false ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X66] :
( ~ r1(X0,X66)
| $false )
| ~ ! [X67] :
( ~ r1(X0,X67)
| p3(X67)
| p2(X67)
| p1(X67)
| ! [X68] :
( ~ r1(X67,X68)
| $false )
| ~ ! [X69] :
( ~ r1(X67,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p3(X70)
| p2(X70)
| p1(X70)
| ! [X71] :
( ~ r1(X70,X71)
| $false ) )
| ~ ( p3(X69)
| p2(X69)
| p1(X69)
| ! [X72] :
( ~ r1(X69,X72)
| $false ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X73] :
( ~ r1(X0,X73)
| $false )
| ~ ! [X74] :
( ~ r1(X0,X74)
| p2(X74)
| p1(X74)
| ! [X75] :
( ~ r1(X74,X75)
| $false )
| ~ ! [X76] :
( ~ r1(X74,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p2(X77)
| p1(X77)
| ! [X78] :
( ~ r1(X77,X78)
| $false ) )
| ~ ( p2(X76)
| p1(X76)
| ! [X79] :
( ~ r1(X76,X79)
| $false ) ) ) ) )
& ( p1(X0)
| ! [X80] :
( ~ r1(X0,X80)
| $false )
| ~ ! [X81] :
( ~ r1(X0,X81)
| p1(X81)
| ! [X82] :
( ~ r1(X81,X82)
| $false )
| ~ ! [X83] :
( ~ r1(X81,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p1(X84)
| ! [X85] :
( ~ r1(X84,X85)
| $false ) )
| ~ ( p1(X83)
| ! [X86] :
( ~ r1(X83,X86)
| $false ) ) ) ) )
& ! [X87] :
( ~ r1(X0,X87)
| p2(X87)
| ~ ! [X88] :
( ~ r1(X87,X88)
| p2(X88)
| ~ ! [X89] :
( ~ r1(X88,X89)
| ! [X90] :
( ~ r1(X89,X90)
| p2(X90) )
| ~ p2(X89) ) ) ) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p5(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)
| p3(X6) )
| ~ ! [X7] :
( ~ r1(X0,X7)
| p3(X7)
| ~ ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| p3(X9) )
| ~ p3(X8) ) )
| ( ~ ! [X10] :
( ~ r1(X0,X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ~ p5(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) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X59] : ~ r1(X0,X59)
| ~ ! [X60] :
( ~ r1(X0,X60)
| p4(X60)
| p3(X60)
| p2(X60)
| p1(X60)
| ! [X61] : ~ r1(X60,X61)
| ~ ! [X62] :
( ~ r1(X60,X62)
| ! [X63] :
( ~ r1(X62,X63)
| p4(X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] : ~ r1(X63,X64) )
| ~ ( p4(X62)
| p3(X62)
| p2(X62)
| p1(X62)
| ! [X65] : ~ r1(X62,X65) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X66] : ~ r1(X0,X66)
| ~ ! [X67] :
( ~ r1(X0,X67)
| p3(X67)
| p2(X67)
| p1(X67)
| ! [X68] : ~ r1(X67,X68)
| ~ ! [X69] :
( ~ r1(X67,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p3(X70)
| p2(X70)
| p1(X70)
| ! [X71] : ~ r1(X70,X71) )
| ~ ( p3(X69)
| p2(X69)
| p1(X69)
| ! [X72] : ~ r1(X69,X72) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X73] : ~ r1(X0,X73)
| ~ ! [X74] :
( ~ r1(X0,X74)
| p2(X74)
| p1(X74)
| ! [X75] : ~ r1(X74,X75)
| ~ ! [X76] :
( ~ r1(X74,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p2(X77)
| p1(X77)
| ! [X78] : ~ r1(X77,X78) )
| ~ ( p2(X76)
| p1(X76)
| ! [X79] : ~ r1(X76,X79) ) ) ) )
& ( p1(X0)
| ! [X80] : ~ r1(X0,X80)
| ~ ! [X81] :
( ~ r1(X0,X81)
| p1(X81)
| ! [X82] : ~ r1(X81,X82)
| ~ ! [X83] :
( ~ r1(X81,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p1(X84)
| ! [X85] : ~ r1(X84,X85) )
| ~ ( p1(X83)
| ! [X86] : ~ r1(X83,X86) ) ) ) )
& ! [X87] :
( ~ r1(X0,X87)
| p2(X87)
| ~ ! [X88] :
( ~ r1(X87,X88)
| p2(X88)
| ~ ! [X89] :
( ~ r1(X88,X89)
| ! [X90] :
( ~ r1(X89,X90)
| p2(X90) )
| ~ p2(X89) ) ) ) ) ),
inference(true_and_false_elimination,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p5(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)
| p3(X6) )
| ~ ! [X7] :
( ~ r1(X0,X7)
| p3(X7)
| ~ ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| p3(X9) )
| ~ p3(X8) ) )
| ( ~ ! [X10] :
( ~ r1(X0,X10)
| ~ ! [X11] :
( ~ r1(X10,X11)
| ~ p5(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) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X59] : ~ r1(X0,X59)
| ~ ! [X60] :
( ~ r1(X0,X60)
| p4(X60)
| p3(X60)
| p2(X60)
| p1(X60)
| ! [X61] : ~ r1(X60,X61)
| ~ ! [X62] :
( ~ r1(X60,X62)
| ! [X63] :
( ~ r1(X62,X63)
| p4(X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] : ~ r1(X63,X64) )
| ~ ( p4(X62)
| p3(X62)
| p2(X62)
| p1(X62)
| ! [X65] : ~ r1(X62,X65) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X66] : ~ r1(X0,X66)
| ~ ! [X67] :
( ~ r1(X0,X67)
| p3(X67)
| p2(X67)
| p1(X67)
| ! [X68] : ~ r1(X67,X68)
| ~ ! [X69] :
( ~ r1(X67,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p3(X70)
| p2(X70)
| p1(X70)
| ! [X71] : ~ r1(X70,X71) )
| ~ ( p3(X69)
| p2(X69)
| p1(X69)
| ! [X72] : ~ r1(X69,X72) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X73] : ~ r1(X0,X73)
| ~ ! [X74] :
( ~ r1(X0,X74)
| p2(X74)
| p1(X74)
| ! [X75] : ~ r1(X74,X75)
| ~ ! [X76] :
( ~ r1(X74,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p2(X77)
| p1(X77)
| ! [X78] : ~ r1(X77,X78) )
| ~ ( p2(X76)
| p1(X76)
| ! [X79] : ~ r1(X76,X79) ) ) ) )
& ( p1(X0)
| ! [X80] : ~ r1(X0,X80)
| ~ ! [X81] :
( ~ r1(X0,X81)
| p1(X81)
| ! [X82] : ~ r1(X81,X82)
| ~ ! [X83] :
( ~ r1(X81,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p1(X84)
| ! [X85] : ~ r1(X84,X85) )
| ~ ( p1(X83)
| ! [X86] : ~ r1(X83,X86) ) ) ) )
& ! [X87] :
( ~ r1(X0,X87)
| p2(X87)
| ~ ! [X88] :
( ~ r1(X87,X88)
| p2(X88)
| ~ ! [X89] :
( ~ r1(X88,X89)
| ! [X90] :
( ~ r1(X89,X90)
| p2(X90) )
| ~ p2(X89) ) ) ) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p5(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)
& ~ p3(X6) )
& ! [X7] :
( ~ r1(X0,X7)
| p3(X7)
| ? [X8] :
( r1(X7,X8)
& ? [X9] :
( r1(X8,X9)
& ~ p3(X9) )
& p3(X8) ) )
& ( ! [X10] :
( ~ r1(X0,X10)
| ? [X11] :
( r1(X10,X11)
& p5(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) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X59] : ~ r1(X0,X59)
| ? [X60] :
( r1(X0,X60)
& ~ p4(X60)
& ~ p3(X60)
& ~ p2(X60)
& ~ p1(X60)
& ? [X61] : r1(X60,X61)
& ! [X62] :
( ~ r1(X60,X62)
| ! [X63] :
( ~ r1(X62,X63)
| p4(X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] : ~ r1(X63,X64) )
| ( ~ p4(X62)
& ~ p3(X62)
& ~ p2(X62)
& ~ p1(X62)
& ? [X65] : r1(X62,X65) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X66] : ~ r1(X0,X66)
| ? [X67] :
( r1(X0,X67)
& ~ p3(X67)
& ~ p2(X67)
& ~ p1(X67)
& ? [X68] : r1(X67,X68)
& ! [X69] :
( ~ r1(X67,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p3(X70)
| p2(X70)
| p1(X70)
| ! [X71] : ~ r1(X70,X71) )
| ( ~ p3(X69)
& ~ p2(X69)
& ~ p1(X69)
& ? [X72] : r1(X69,X72) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X73] : ~ r1(X0,X73)
| ? [X74] :
( r1(X0,X74)
& ~ p2(X74)
& ~ p1(X74)
& ? [X75] : r1(X74,X75)
& ! [X76] :
( ~ r1(X74,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p2(X77)
| p1(X77)
| ! [X78] : ~ r1(X77,X78) )
| ( ~ p2(X76)
& ~ p1(X76)
& ? [X79] : r1(X76,X79) ) ) ) )
& ( p1(X0)
| ! [X80] : ~ r1(X0,X80)
| ? [X81] :
( r1(X0,X81)
& ~ p1(X81)
& ? [X82] : r1(X81,X82)
& ! [X83] :
( ~ r1(X81,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p1(X84)
| ! [X85] : ~ r1(X84,X85) )
| ( ~ p1(X83)
& ? [X86] : r1(X83,X86) ) ) ) )
& ! [X87] :
( ~ r1(X0,X87)
| p2(X87)
| ? [X88] :
( r1(X87,X88)
& ~ p2(X88)
& ! [X89] :
( ~ r1(X88,X89)
| ! [X90] :
( ~ r1(X89,X90)
| p2(X90) )
| ~ p2(X89) ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
? [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p5(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)
& ~ p3(X6) )
& ! [X7] :
( ~ r1(X0,X7)
| p3(X7)
| ? [X8] :
( r1(X7,X8)
& ? [X9] :
( r1(X8,X9)
& ~ p3(X9) )
& p3(X8) ) )
& ( ! [X10] :
( ~ r1(X0,X10)
| ? [X11] :
( r1(X10,X11)
& p5(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) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X59] : ~ r1(X0,X59)
| ? [X60] :
( r1(X0,X60)
& ~ p4(X60)
& ~ p3(X60)
& ~ p2(X60)
& ~ p1(X60)
& ? [X61] : r1(X60,X61)
& ! [X62] :
( ~ r1(X60,X62)
| ! [X63] :
( ~ r1(X62,X63)
| p4(X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] : ~ r1(X63,X64) )
| ( ~ p4(X62)
& ~ p3(X62)
& ~ p2(X62)
& ~ p1(X62)
& ? [X65] : r1(X62,X65) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X66] : ~ r1(X0,X66)
| ? [X67] :
( r1(X0,X67)
& ~ p3(X67)
& ~ p2(X67)
& ~ p1(X67)
& ? [X68] : r1(X67,X68)
& ! [X69] :
( ~ r1(X67,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p3(X70)
| p2(X70)
| p1(X70)
| ! [X71] : ~ r1(X70,X71) )
| ( ~ p3(X69)
& ~ p2(X69)
& ~ p1(X69)
& ? [X72] : r1(X69,X72) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X73] : ~ r1(X0,X73)
| ? [X74] :
( r1(X0,X74)
& ~ p2(X74)
& ~ p1(X74)
& ? [X75] : r1(X74,X75)
& ! [X76] :
( ~ r1(X74,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p2(X77)
| p1(X77)
| ! [X78] : ~ r1(X77,X78) )
| ( ~ p2(X76)
& ~ p1(X76)
& ? [X79] : r1(X76,X79) ) ) ) )
& ( p1(X0)
| ! [X80] : ~ r1(X0,X80)
| ? [X81] :
( r1(X0,X81)
& ~ p1(X81)
& ? [X82] : r1(X81,X82)
& ! [X83] :
( ~ r1(X81,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p1(X84)
| ! [X85] : ~ r1(X84,X85) )
| ( ~ p1(X83)
& ? [X86] : r1(X83,X86) ) ) ) )
& ! [X87] :
( ~ r1(X0,X87)
| p2(X87)
| ? [X88] :
( r1(X87,X88)
& ~ p2(X88)
& ! [X89] :
( ~ r1(X88,X89)
| ! [X90] :
( ~ r1(X89,X90)
| p2(X90) )
| ~ p2(X89) ) ) ) ),
inference(flattening,[],[f7]) ).
fof(f9,definition,
! [X67] :
( ! [X69] :
( ~ r1(X67,X69)
| ! [X70] :
( ~ r1(X69,X70)
| p3(X70)
| p2(X70)
| p1(X70)
| ! [X71] : ~ r1(X70,X71) )
| ( ~ p3(X69)
& ~ p2(X69)
& ~ p1(X69)
& ? [X72] : r1(X69,X72) ) )
| ~ sP0(X67) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X60] :
( ! [X62] :
( ~ r1(X60,X62)
| ! [X63] :
( ~ r1(X62,X63)
| p4(X63)
| p3(X63)
| p2(X63)
| p1(X63)
| ! [X64] : ~ r1(X63,X64) )
| ( ~ p4(X62)
& ~ p3(X62)
& ~ p2(X62)
& ~ p1(X62)
& ? [X65] : r1(X62,X65) ) )
| ~ sP1(X60) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| p2(X42)
| ? [X43] :
( r1(X42,X43)
& ? [X44] :
( r1(X43,X44)
& ~ p2(X44) )
& p2(X43) ) ) )
| ~ sP2(X40) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f12,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) ) ) )
| ~ sP3(X39) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X39] :
( ! [X40] :
( ~ r1(X39,X40)
| ( ( sP2(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) ) ) ) )
| ~ sP4(X39) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f14,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) ) ) )
| ~ sP5(X29) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X0] :
( ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21)
| ? [X22] :
( r1(X21,X22)
& ? [X23] :
( r1(X22,X23)
& ~ p2(X23) )
& p2(X22) ) ) )
| ~ sP6(X0) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X0] :
( ( ( sP6(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) ) ) )
| ~ sP7(X0) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f17,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) ) ) )
| ~ sP8(X0) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f18,plain,
? [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p5(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)
& ~ p3(X6) )
& ! [X7] :
( ~ r1(X0,X7)
| p3(X7)
| ? [X8] :
( r1(X7,X8)
& ? [X9] :
( r1(X8,X9)
& ~ p3(X9) )
& p3(X8) ) )
& ( ! [X10] :
( ~ r1(X0,X10)
| ? [X11] :
( r1(X10,X11)
& p5(X11) ) )
| sP8(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) ) )
& ( sP7(X0)
| ? [X29] :
( r1(X0,X29)
& ( sP5(X29)
| ( ~ p2(X29)
& ! [X37] :
( ~ r1(X29,X37)
| ! [X38] :
( ~ r1(X37,X38)
| p2(X38) )
| ~ p2(X37) ) ) )
& ! [X39] :
( ~ r1(X29,X39)
| sP4(X39)
| sP3(X39)
| ( ~ p2(X39)
& ! [X57] :
( ~ r1(X39,X57)
| ! [X58] :
( ~ r1(X57,X58)
| p2(X58) )
| ~ p2(X57) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X59] : ~ r1(X0,X59)
| ? [X60] :
( r1(X0,X60)
& ~ p4(X60)
& ~ p3(X60)
& ~ p2(X60)
& ~ p1(X60)
& ? [X61] : r1(X60,X61)
& sP1(X60) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X66] : ~ r1(X0,X66)
| ? [X67] :
( r1(X0,X67)
& ~ p3(X67)
& ~ p2(X67)
& ~ p1(X67)
& ? [X68] : r1(X67,X68)
& sP0(X67) ) )
& ( p2(X0)
| p1(X0)
| ! [X73] : ~ r1(X0,X73)
| ? [X74] :
( r1(X0,X74)
& ~ p2(X74)
& ~ p1(X74)
& ? [X75] : r1(X74,X75)
& ! [X76] :
( ~ r1(X74,X76)
| ! [X77] :
( ~ r1(X76,X77)
| p2(X77)
| p1(X77)
| ! [X78] : ~ r1(X77,X78) )
| ( ~ p2(X76)
& ~ p1(X76)
& ? [X79] : r1(X76,X79) ) ) ) )
& ( p1(X0)
| ! [X80] : ~ r1(X0,X80)
| ? [X81] :
( r1(X0,X81)
& ~ p1(X81)
& ? [X82] : r1(X81,X82)
& ! [X83] :
( ~ r1(X81,X83)
| ! [X84] :
( ~ r1(X83,X84)
| p1(X84)
| ! [X85] : ~ r1(X84,X85) )
| ( ~ p1(X83)
& ? [X86] : r1(X83,X86) ) ) ) )
& ! [X87] :
( ~ r1(X0,X87)
| p2(X87)
| ? [X88] :
( r1(X87,X88)
& ~ p2(X88)
& ! [X89] :
( ~ r1(X88,X89)
| ! [X90] :
( ~ r1(X89,X90)
| p2(X90) )
| ~ p2(X89) ) ) ) ),
inference(definition_folding,[],[f8,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f19,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) ) ) )
| ~ sP8(X0) ),
inference(nnf_transformation,[],[f17]) ).
fof(f20,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) ) ) )
| ~ sP8(X0) ),
inference(rectify,[],[f19]) ).
fof(f21,plain,
! [X0] :
( ( r1(X0,sK9(X0))
& ~ p2(sK9(X0))
& ! [X2] :
( ~ r1(X0,X2)
| p2(X2)
| ( r1(X2,sK10(X2))
& r1(sK10(X2),sK11(X2))
& ~ p2(sK11(X2))
& p2(sK10(X2)) ) ) )
| ~ sP8(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11]),skolemize(X1,sK9(X0)),skolemize(X3,sK10(X2)),skolemize(X4,sK11(X2))],[f20]) ).
fof(f22,plain,
! [X0] :
( ( ( sP6(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) ) ) )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f16]) ).
fof(f23,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,[],[f22]) ).
fof(f24,plain,
! [X0] :
( ( ( sP6(X0)
| ( r1(X0,sK12(X0))
& ~ p2(sK12(X0))
& ! [X2] :
( ~ r1(sK12(X0),X2)
| ! [X3] :
( ~ r1(X2,X3)
| p2(X3) )
| ~ p2(X2) ) ) )
& ( p2(X0)
| ( r1(X0,sK13(X0))
& r1(sK13(X0),sK14(X0))
& ~ p2(sK14(X0))
& p2(sK13(X0)) ) ) )
| ~ sP7(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14]),skolemize(X1,sK12(X0)),skolemize(X4,sK13(X0)),skolemize(X5,sK14(X0))],[f23]) ).
fof(f25,plain,
! [X0] :
( ! [X20] :
( ~ r1(X0,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21)
| ? [X22] :
( r1(X21,X22)
& ? [X23] :
( r1(X22,X23)
& ~ p2(X23) )
& p2(X22) ) ) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f15]) ).
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) ) ) )
| ~ sP6(X0) ),
inference(rectify,[],[f25]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ( r1(X2,sK15(X2))
& r1(sK15(X2),sK16(X2))
& ~ p2(sK16(X2))
& p2(sK15(X2)) ) ) )
| ~ sP6(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16]),skolemize(X3,sK15(X2)),skolemize(X4,sK16(X2))],[f26]) ).
fof(f28,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) ) ) )
| ~ sP5(X29) ),
inference(nnf_transformation,[],[f14]) ).
fof(f29,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,[],[f28]) ).
fof(f30,plain,
! [X0] :
( ( r1(X0,sK17(X0))
& r1(sK17(X0),sK18(X0))
& ~ p2(sK18(X0))
& ! [X3] :
( ~ r1(sK18(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ( r1(X5,sK19(X5))
& r1(sK19(X5),sK20(X5))
& ~ p2(sK20(X5))
& p2(sK19(X5)) ) ) )
| ~ sP5(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20]),skolemize(X1,sK17(X0)),skolemize(X2,sK18(X0)),skolemize(X6,sK19(X5)),skolemize(X7,sK20(X5))],[f29]) ).
fof(f31,plain,
! [X39] :
( ! [X40] :
( ~ r1(X39,X40)
| ( ( sP2(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) ) ) ) )
| ~ sP4(X39) ),
inference(nnf_transformation,[],[f13]) ).
fof(f32,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,[],[f31]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( sP2(X1)
| ( r1(X1,sK21(X1))
& ~ p2(sK21(X1))
& ! [X3] :
( ~ r1(sK21(X1),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) ) ) )
& ( p2(X1)
| ( r1(X1,sK22(X1))
& r1(sK22(X1),sK23(X1))
& ~ p2(sK23(X1))
& p2(sK22(X1)) ) ) ) )
| ~ sP4(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22,sK23]),skolemize(X2,sK21(X1)),skolemize(X5,sK22(X1)),skolemize(X6,sK23(X1))],[f32]) ).
fof(f34,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) ) ) )
| ~ sP3(X39) ),
inference(nnf_transformation,[],[f12]) ).
fof(f35,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,[],[f34]) ).
fof(f36,plain,
! [X0] :
( ( r1(X0,sK24(X0))
& r1(sK24(X0),sK25(X0))
& ~ p2(sK25(X0))
& ! [X3] :
( ~ r1(sK25(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ( r1(X5,sK26(X5))
& r1(sK26(X5),sK27(X5))
& ~ p2(sK27(X5))
& p2(sK26(X5)) ) ) )
| ~ sP3(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24,sK25,sK26,sK27]),skolemize(X1,sK24(X0)),skolemize(X2,sK25(X0)),skolemize(X6,sK26(X5)),skolemize(X7,sK27(X5))],[f35]) ).
fof(f46,plain,
? [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| ~ p5(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)
& ~ p3(X6) )
& ! [X7] :
( ~ r1(X0,X7)
| p3(X7)
| ? [X8] :
( r1(X7,X8)
& ? [X9] :
( r1(X8,X9)
& ~ p3(X9) )
& p3(X8) ) )
& ( ! [X10] :
( ~ r1(X0,X10)
| ? [X11] :
( r1(X10,X11)
& p5(X11) ) )
| sP8(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) ) )
& ( sP7(X0)
| ? [X16] :
( r1(X0,X16)
& ( sP5(X16)
| ( ~ p2(X16)
& ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) ) ) )
& ! [X19] :
( ~ r1(X16,X19)
| sP4(X19)
| sP3(X19)
| ( ~ p2(X19)
& ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21) )
| ~ p2(X20) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X22] : ~ r1(X0,X22)
| ? [X23] :
( r1(X0,X23)
& ~ p4(X23)
& ~ p3(X23)
& ~ p2(X23)
& ~ p1(X23)
& ? [X24] : r1(X23,X24)
& sP1(X23) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X25] : ~ r1(X0,X25)
| ? [X26] :
( r1(X0,X26)
& ~ p3(X26)
& ~ p2(X26)
& ~ p1(X26)
& ? [X27] : r1(X26,X27)
& sP0(X26) ) )
& ( p2(X0)
| p1(X0)
| ! [X28] : ~ r1(X0,X28)
| ? [X29] :
( r1(X0,X29)
& ~ p2(X29)
& ~ p1(X29)
& ? [X30] : r1(X29,X30)
& ! [X31] :
( ~ r1(X29,X31)
| ! [X32] :
( ~ r1(X31,X32)
| p2(X32)
| p1(X32)
| ! [X33] : ~ r1(X32,X33) )
| ( ~ p2(X31)
& ~ p1(X31)
& ? [X34] : r1(X31,X34) ) ) ) )
& ( p1(X0)
| ! [X35] : ~ r1(X0,X35)
| ? [X36] :
( r1(X0,X36)
& ~ p1(X36)
& ? [X37] : r1(X36,X37)
& ! [X38] :
( ~ r1(X36,X38)
| ! [X39] :
( ~ r1(X38,X39)
| p1(X39)
| ! [X40] : ~ r1(X39,X40) )
| ( ~ p1(X38)
& ? [X41] : r1(X38,X41) ) ) ) )
& ! [X42] :
( ~ r1(X0,X42)
| p2(X42)
| ? [X43] :
( r1(X42,X43)
& ~ p2(X43)
& ! [X44] :
( ~ r1(X43,X44)
| ! [X45] :
( ~ r1(X44,X45)
| p2(X45) )
| ~ p2(X44) ) ) ) ),
inference(rectify,[],[f18]) ).
fof(f47,plain,
( ( ! [X1] :
( ~ r1(sK32,X1)
| ~ p5(X1) )
| ( r1(sK32,sK33)
& ~ p2(sK33)
& ! [X3] :
( ~ r1(sK32,X3)
| p2(X3)
| ( r1(X3,sK34(X3))
& r1(sK34(X3),sK35(X3))
& ~ p2(sK35(X3))
& p2(sK34(X3)) ) ) ) )
& r1(sK32,sK36)
& ~ p3(sK36)
& ! [X7] :
( ~ r1(sK32,X7)
| p3(X7)
| ( r1(X7,sK37(X7))
& r1(sK37(X7),sK38(X7))
& ~ p3(sK38(X7))
& p3(sK37(X7)) ) )
& ( ! [X10] :
( ~ r1(sK32,X10)
| ( r1(X10,sK39(X10))
& p5(sK39(X10)) ) )
| sP8(sK32) )
& r1(sK32,sK40)
& ~ p1(sK40)
& ! [X13] :
( ~ r1(sK32,X13)
| p1(X13)
| ( r1(X13,sK41(X13))
& r1(sK41(X13),sK42(X13))
& ~ p1(sK42(X13))
& p1(sK41(X13)) ) )
& ( sP7(sK32)
| ( r1(sK32,sK43)
& ( sP5(sK43)
| ( ~ p2(sK43)
& ! [X17] :
( ~ r1(sK43,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) ) ) )
& ! [X19] :
( ~ r1(sK43,X19)
| sP4(X19)
| sP3(X19)
| ( ~ p2(X19)
& ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21) )
| ~ p2(X20) ) ) ) ) )
& ( p4(sK32)
| p3(sK32)
| p2(sK32)
| p1(sK32)
| ! [X22] : ~ r1(sK32,X22)
| ( r1(sK32,sK44)
& ~ p4(sK44)
& ~ p3(sK44)
& ~ p2(sK44)
& ~ p1(sK44)
& r1(sK44,sK45)
& sP1(sK44) ) )
& ( p3(sK32)
| p2(sK32)
| p1(sK32)
| ! [X25] : ~ r1(sK32,X25)
| ( r1(sK32,sK46)
& ~ p3(sK46)
& ~ p2(sK46)
& ~ p1(sK46)
& r1(sK46,sK47)
& sP0(sK46) ) )
& ( p2(sK32)
| p1(sK32)
| ! [X28] : ~ r1(sK32,X28)
| ( r1(sK32,sK48)
& ~ p2(sK48)
& ~ p1(sK48)
& r1(sK48,sK49)
& ! [X31] :
( ~ r1(sK48,X31)
| ! [X32] :
( ~ r1(X31,X32)
| p2(X32)
| p1(X32)
| ! [X33] : ~ r1(X32,X33) )
| ( ~ p2(X31)
& ~ p1(X31)
& r1(X31,sK50(X31)) ) ) ) )
& ( p1(sK32)
| ! [X35] : ~ r1(sK32,X35)
| ( r1(sK32,sK51)
& ~ p1(sK51)
& r1(sK51,sK52)
& ! [X38] :
( ~ r1(sK51,X38)
| ! [X39] :
( ~ r1(X38,X39)
| p1(X39)
| ! [X40] : ~ r1(X39,X40) )
| ( ~ p1(X38)
& r1(X38,sK53(X38)) ) ) ) )
& ! [X42] :
( ~ r1(sK32,X42)
| p2(X42)
| ( r1(X42,sK54(X42))
& ~ p2(sK54(X42))
& ! [X44] :
( ~ r1(sK54(X42),X44)
| ! [X45] :
( ~ r1(X44,X45)
| p2(X45) )
| ~ p2(X44) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49,sK50,sK51,sK52,sK53,sK54]),skolemize(X0,sK32),skolemize(X2,sK33),skolemize(X4,sK34(X3)),skolemize(X5,sK35(X3)),skolemize(X6,sK36),skolemize(X8,sK37(X7)),skolemize(X9,sK38(X7)),skolemize(X11,sK39(X10)),skolemize(X12,sK40),skolemize(X14,sK41(X13)),skolemize(X15,sK42(X13)),skolemize(X16,sK43),skolemize(X23,sK44),skolemize(X24,sK45),skolemize(X26,sK46),skolemize(X27,sK47),skolemize(X29,sK48),skolemize(X30,sK49),skolemize(X34,sK50(X31)),skolemize(X36,sK51),skolemize(X37,sK52),skolemize(X41,sK53(X38)),skolemize(X43,sK54(X42))],[f46]) ).
fof(f48,plain,
! [X2,X0] :
( ~ sP8(X0)
| p2(X2)
| p2(sK10(X2))
| ~ r1(X0,X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f49,plain,
! [X2,X0] :
( ~ p2(sK11(X2))
| p2(X2)
| ~ r1(X0,X2)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f50,plain,
! [X2,X0] :
( r1(sK10(X2),sK11(X2))
| p2(X2)
| ~ r1(X0,X2)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f51,plain,
! [X2,X0] :
( ~ sP8(X0)
| p2(X2)
| r1(X2,sK10(X2))
| ~ r1(X0,X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f52,plain,
! [X0] :
( ~ p2(sK9(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f53,plain,
! [X0] :
( r1(X0,sK9(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f58,plain,
! [X2,X3,X0] :
( ~ sP7(X0)
| ~ r1(sK12(X0),X2)
| ~ r1(X2,X3)
| p2(X3)
| ~ p2(X2)
| sP6(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f59,plain,
! [X0] :
( ~ p2(sK12(X0))
| sP6(X0)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f60,plain,
! [X0] :
( ~ sP7(X0)
| r1(X0,sK12(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ sP6(X0)
| ~ r1(X1,X2)
| p2(X2)
| p2(sK15(X2))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ p2(sK16(X2))
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(X0,X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f63,plain,
! [X2,X0,X1] :
( r1(sK15(X2),sK16(X2))
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(X0,X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ sP6(X0)
| ~ r1(X1,X2)
| p2(X2)
| r1(X2,sK15(X2))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f65,plain,
! [X0,X5] :
( ~ sP5(X0)
| p2(X5)
| p2(sK19(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f30]) ).
fof(f66,plain,
! [X0,X5] :
( ~ p2(sK20(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f67,plain,
! [X0,X5] :
( r1(sK19(X5),sK20(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f68,plain,
! [X0,X5] :
( ~ sP5(X0)
| p2(X5)
| r1(X5,sK19(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f30]) ).
fof(f69,plain,
! [X3,X0,X4] :
( ~ sP5(X0)
| ~ r1(X3,X4)
| p2(X4)
| ~ p2(X3)
| ~ r1(sK18(X0),X3) ),
inference(cnf_transformation,[],[f30]) ).
fof(f70,plain,
! [X0] :
( ~ p2(sK18(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f71,plain,
! [X0] :
( r1(sK17(X0),sK18(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f72,plain,
! [X0] :
( ~ sP5(X0)
| r1(X0,sK17(X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f73,plain,
! [X0,X1] :
( p2(sK22(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f74,plain,
! [X0,X1] :
( ~ p2(sK23(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f75,plain,
! [X0,X1] :
( r1(sK22(X1),sK23(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f76,plain,
! [X0,X1] :
( ~ sP4(X0)
| p2(X1)
| r1(X1,sK22(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f80,plain,
! [X0,X5] :
( ~ sP3(X0)
| p2(X5)
| p2(sK26(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f36]) ).
fof(f81,plain,
! [X0,X5] :
( ~ p2(sK27(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f82,plain,
! [X0,X5] :
( r1(sK26(X5),sK27(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f83,plain,
! [X0,X5] :
( ~ sP3(X0)
| p2(X5)
| r1(X5,sK26(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f36]) ).
fof(f101,plain,
! [X44,X45,X42] :
( ~ p2(X44)
| p2(X42)
| ~ r1(sK54(X42),X44)
| ~ r1(X44,X45)
| p2(X45)
| ~ r1(sK32,X42) ),
inference(cnf_transformation,[],[f47]) ).
fof(f102,plain,
! [X42] :
( ~ p2(sK54(X42))
| p2(X42)
| ~ r1(sK32,X42) ),
inference(cnf_transformation,[],[f47]) ).
fof(f103,plain,
! [X42] :
( r1(X42,sK54(X42))
| p2(X42)
| ~ r1(sK32,X42) ),
inference(cnf_transformation,[],[f47]) ).
fof(f129,plain,
! [X21,X19,X20] :
( sP7(sK32)
| ~ r1(sK43,X19)
| sP4(X19)
| sP3(X19)
| ~ r1(X19,X20)
| ~ r1(X20,X21)
| p2(X21)
| ~ p2(X20) ),
inference(cnf_transformation,[],[f47]) ).
fof(f130,plain,
! [X19] :
( sP7(sK32)
| ~ r1(sK43,X19)
| sP4(X19)
| sP3(X19)
| ~ p2(X19) ),
inference(cnf_transformation,[],[f47]) ).
fof(f131,plain,
! [X18,X17] :
( sP7(sK32)
| sP5(sK43)
| ~ r1(sK43,X17)
| ~ r1(X17,X18)
| p2(X18)
| ~ p2(X17) ),
inference(cnf_transformation,[],[f47]) ).
fof(f132,plain,
( sP7(sK32)
| sP5(sK43)
| ~ p2(sK43) ),
inference(cnf_transformation,[],[f47]) ).
fof(f133,plain,
( sP7(sK32)
| r1(sK32,sK43) ),
inference(cnf_transformation,[],[f47]) ).
fof(f140,plain,
! [X10] :
( ~ r1(sK32,X10)
| p5(sK39(X10))
| sP8(sK32) ),
inference(cnf_transformation,[],[f47]) ).
fof(f141,plain,
! [X10] :
( ~ r1(sK32,X10)
| r1(X10,sK39(X10))
| sP8(sK32) ),
inference(cnf_transformation,[],[f47]) ).
fof(f148,plain,
! [X3,X1] :
( ~ r1(sK32,X1)
| ~ p5(X1)
| ~ r1(sK32,X3)
| p2(X3)
| p2(sK34(X3)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f149,plain,
! [X3,X1] :
( ~ r1(sK32,X1)
| ~ p5(X1)
| ~ r1(sK32,X3)
| p2(X3)
| ~ p2(sK35(X3)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f150,plain,
! [X3,X1] :
( ~ r1(sK32,X1)
| ~ p5(X1)
| ~ r1(sK32,X3)
| p2(X3)
| r1(sK34(X3),sK35(X3)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f151,plain,
! [X3,X1] :
( ~ r1(sK32,X1)
| ~ p5(X1)
| ~ r1(sK32,X3)
| p2(X3)
| r1(X3,sK34(X3)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f152,plain,
! [X1] :
( ~ r1(sK32,X1)
| ~ p5(X1)
| ~ p2(sK33) ),
inference(cnf_transformation,[],[f47]) ).
fof(f153,plain,
! [X1] :
( ~ r1(sK32,X1)
| ~ p5(X1)
| r1(sK32,sK33) ),
inference(cnf_transformation,[],[f47]) ).
fof(f154,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f295,definition,
( spl55_31
<=> ! [X20,X21,X19] :
( ~ r1(sK43,X19)
| ~ p2(X20)
| p2(X21)
| ~ r1(X20,X21)
| ~ r1(X19,X20)
| sP3(X19)
| sP4(X19) ) ),
introduced(definition,[new_symbols(definition,[spl55_31])],[avatar_definition]) ).
fof(f296,plain,
( ! [X21,X19,X20] :
( sP4(X19)
| ~ p2(X20)
| p2(X21)
| ~ r1(X20,X21)
| ~ r1(X19,X20)
| sP3(X19)
| ~ r1(sK43,X19) )
| ~ spl55_31 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f298,definition,
( spl55_32
<=> sP7(sK32) ),
introduced(definition,[new_symbols(definition,[spl55_32])],[avatar_definition]) ).
fof(f300,plain,
( sP7(sK32)
| ~ spl55_32 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f301,plain,
( spl55_31
| spl55_32 ),
inference(avatar_split_clause,[],[f129,f298,f295]) ).
fof(f303,definition,
( spl55_33
<=> ! [X19] :
( ~ r1(sK43,X19)
| ~ p2(X19)
| sP3(X19)
| sP4(X19) ) ),
introduced(definition,[new_symbols(definition,[spl55_33])],[avatar_definition]) ).
fof(f304,plain,
( ! [X19] :
( sP4(X19)
| ~ p2(X19)
| sP3(X19)
| ~ r1(sK43,X19) )
| ~ spl55_33 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f305,plain,
( spl55_33
| spl55_32 ),
inference(avatar_split_clause,[],[f130,f298,f303]) ).
fof(f307,definition,
( spl55_34
<=> ! [X18,X17] :
( ~ r1(sK43,X17)
| ~ p2(X17)
| p2(X18)
| ~ r1(X17,X18) ) ),
introduced(definition,[new_symbols(definition,[spl55_34])],[avatar_definition]) ).
fof(f308,plain,
( ! [X18,X17] :
( ~ p2(X17)
| ~ r1(sK43,X17)
| p2(X18)
| ~ r1(X17,X18) )
| ~ spl55_34 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f310,definition,
( spl55_35
<=> sP5(sK43) ),
introduced(definition,[new_symbols(definition,[spl55_35])],[avatar_definition]) ).
fof(f312,plain,
( sP5(sK43)
| ~ spl55_35 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f313,plain,
( spl55_34
| spl55_35
| spl55_32 ),
inference(avatar_split_clause,[],[f131,f298,f310,f307]) ).
fof(f315,definition,
( spl55_36
<=> p2(sK43) ),
introduced(definition,[new_symbols(definition,[spl55_36])],[avatar_definition]) ).
fof(f317,plain,
( ~ p2(sK43)
| spl55_36 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f318,plain,
( ~ spl55_36
| spl55_35
| spl55_32 ),
inference(avatar_split_clause,[],[f132,f298,f310,f315]) ).
fof(f320,definition,
( spl55_37
<=> r1(sK32,sK43) ),
introduced(definition,[new_symbols(definition,[spl55_37])],[avatar_definition]) ).
fof(f322,plain,
( r1(sK32,sK43)
| ~ spl55_37 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f323,plain,
( spl55_37
| spl55_32 ),
inference(avatar_split_clause,[],[f133,f298,f320]) ).
fof(f325,definition,
( spl55_38
<=> sP8(sK32) ),
introduced(definition,[new_symbols(definition,[spl55_38])],[avatar_definition]) ).
fof(f327,plain,
( sP8(sK32)
| ~ spl55_38 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f329,definition,
( spl55_39
<=> ! [X10] :
( ~ r1(sK32,X10)
| p5(sK39(X10)) ) ),
introduced(definition,[new_symbols(definition,[spl55_39])],[avatar_definition]) ).
fof(f330,plain,
( ! [X10] :
( p5(sK39(X10))
| ~ r1(sK32,X10) )
| ~ spl55_39 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f331,plain,
( spl55_38
| spl55_39 ),
inference(avatar_split_clause,[],[f140,f329,f325]) ).
fof(f333,definition,
( spl55_40
<=> ! [X10] :
( ~ r1(sK32,X10)
| r1(X10,sK39(X10)) ) ),
introduced(definition,[new_symbols(definition,[spl55_40])],[avatar_definition]) ).
fof(f334,plain,
( ! [X10] :
( r1(X10,sK39(X10))
| ~ r1(sK32,X10) )
| ~ spl55_40 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f335,plain,
( spl55_38
| spl55_40 ),
inference(avatar_split_clause,[],[f141,f333,f325]) ).
fof(f337,definition,
( spl55_41
<=> ! [X3] :
( ~ r1(sK32,X3)
| p2(sK34(X3))
| p2(X3) ) ),
introduced(definition,[new_symbols(definition,[spl55_41])],[avatar_definition]) ).
fof(f338,plain,
( ! [X3] :
( p2(sK34(X3))
| ~ r1(sK32,X3)
| p2(X3) )
| ~ spl55_41 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f340,definition,
( spl55_42
<=> ! [X1] :
( ~ r1(sK32,X1)
| ~ p5(X1) ) ),
introduced(definition,[new_symbols(definition,[spl55_42])],[avatar_definition]) ).
fof(f341,plain,
( ! [X1] :
( ~ p5(X1)
| ~ r1(sK32,X1) )
| ~ spl55_42 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f342,plain,
( spl55_41
| spl55_42 ),
inference(avatar_split_clause,[],[f148,f340,f337]) ).
fof(f344,definition,
( spl55_43
<=> ! [X3] :
( ~ r1(sK32,X3)
| ~ p2(sK35(X3))
| p2(X3) ) ),
introduced(definition,[new_symbols(definition,[spl55_43])],[avatar_definition]) ).
fof(f345,plain,
( ! [X3] :
( ~ p2(sK35(X3))
| ~ r1(sK32,X3)
| p2(X3) )
| ~ spl55_43 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f346,plain,
( spl55_43
| spl55_42 ),
inference(avatar_split_clause,[],[f149,f340,f344]) ).
fof(f348,definition,
( spl55_44
<=> ! [X3] :
( ~ r1(sK32,X3)
| r1(sK34(X3),sK35(X3))
| p2(X3) ) ),
introduced(definition,[new_symbols(definition,[spl55_44])],[avatar_definition]) ).
fof(f349,plain,
( ! [X3] :
( r1(sK34(X3),sK35(X3))
| ~ r1(sK32,X3)
| p2(X3) )
| ~ spl55_44 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f350,plain,
( spl55_44
| spl55_42 ),
inference(avatar_split_clause,[],[f150,f340,f348]) ).
fof(f352,definition,
( spl55_45
<=> ! [X3] :
( ~ r1(sK32,X3)
| r1(X3,sK34(X3))
| p2(X3) ) ),
introduced(definition,[new_symbols(definition,[spl55_45])],[avatar_definition]) ).
fof(f353,plain,
( ! [X3] :
( r1(X3,sK34(X3))
| ~ r1(sK32,X3)
| p2(X3) )
| ~ spl55_45 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f354,plain,
( spl55_45
| spl55_42 ),
inference(avatar_split_clause,[],[f151,f340,f352]) ).
fof(f356,definition,
( spl55_46
<=> p2(sK33) ),
introduced(definition,[new_symbols(definition,[spl55_46])],[avatar_definition]) ).
fof(f358,plain,
( ~ p2(sK33)
| spl55_46 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f359,plain,
( ~ spl55_46
| spl55_42 ),
inference(avatar_split_clause,[],[f152,f340,f356]) ).
fof(f361,definition,
( spl55_47
<=> r1(sK32,sK33) ),
introduced(definition,[new_symbols(definition,[spl55_47])],[avatar_definition]) ).
fof(f363,plain,
( r1(sK32,sK33)
| ~ spl55_47 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f364,plain,
( spl55_47
| spl55_42 ),
inference(avatar_split_clause,[],[f153,f340,f361]) ).
fof(f378,definition,
( spl55_49
<=> ! [X1] :
( ~ r1(sK32,X1)
| p2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl55_49])],[avatar_definition]) ).
fof(f379,plain,
( ! [X1] :
( ~ r1(sK32,X1)
| p2(X1) )
| ~ spl55_49 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f385,plain,
( ! [X0] :
( p2(sK10(X0))
| p2(X0)
| ~ r1(sK32,X0) )
| ~ spl55_38 ),
inference(resolution,[],[f48,f327]) ).
fof(f386,plain,
( ! [X0,X1] :
( ~ r1(sK43,sK10(X0))
| ~ r1(sK32,X0)
| p2(X0)
| p2(X1)
| ~ r1(sK10(X0),X1) )
| ~ spl55_34
| ~ spl55_38 ),
inference(resolution,[],[f385,f308]) ).
fof(f390,plain,
( ! [X0] :
( r1(X0,sK10(X0))
| p2(X0)
| ~ r1(sK32,X0) )
| ~ spl55_38 ),
inference(resolution,[],[f51,f327]) ).
fof(f391,plain,
( ! [X0] :
( p2(sK43)
| ~ r1(sK32,sK43)
| ~ r1(sK32,sK43)
| p2(sK43)
| p2(X0)
| ~ r1(sK10(sK43),X0) )
| ~ spl55_34
| ~ spl55_38 ),
inference(resolution,[],[f390,f386]) ).
fof(f394,plain,
( ! [X0] :
( p2(sK43)
| ~ r1(sK32,sK43)
| p2(X0)
| ~ r1(sK10(sK43),X0) )
| ~ spl55_34
| ~ spl55_38 ),
inference(duplicate_literal_removal,[],[f391]) ).
fof(f396,plain,
( ! [X0] :
( ~ r1(sK32,sK43)
| p2(X0)
| ~ r1(sK10(sK43),X0) )
| ~ spl55_34
| spl55_36
| ~ spl55_38 ),
inference(forward_subsumption_resolution,[],[f394,f317]) ).
fof(f397,plain,
( ! [X0] :
( ~ r1(sK10(sK43),X0)
| p2(X0) )
| ~ spl55_34
| spl55_36
| ~ spl55_37
| ~ spl55_38 ),
inference(forward_subsumption_resolution,[],[f396,f322]) ).
fof(f429,plain,
( ! [X0,X1] :
( r1(X0,sK22(X0))
| p2(X0)
| ~ r1(X1,X0)
| ~ p2(X1)
| sP3(X1)
| ~ r1(sK43,X1) )
| ~ spl55_33 ),
inference(resolution,[],[f76,f304]) ).
fof(f432,plain,
( ! [X0] :
( p2(sK43)
| ~ r1(X0,sK43)
| ~ sP8(X0)
| p2(sK11(sK43)) )
| ~ spl55_34
| spl55_36
| ~ spl55_37
| ~ spl55_38 ),
inference(resolution,[],[f50,f397]) ).
fof(f433,plain,
( ! [X0] :
( p2(sK43)
| ~ r1(X0,sK43)
| ~ sP8(X0) )
| ~ spl55_34
| spl55_36
| ~ spl55_37
| ~ spl55_38 ),
inference(forward_subsumption_resolution,[],[f432,f49]) ).
fof(f434,plain,
( ! [X0] :
( ~ sP8(X0)
| ~ r1(X0,sK43) )
| ~ spl55_34
| spl55_36
| ~ spl55_37
| ~ spl55_38 ),
inference(forward_subsumption_resolution,[],[f433,f317]) ).
fof(f435,plain,
( ~ r1(sK32,sK43)
| ~ spl55_34
| spl55_36
| ~ spl55_37
| ~ spl55_38 ),
inference(resolution,[],[f434,f327]) ).
fof(f436,plain,
( $false
| ~ spl55_34
| spl55_36
| ~ spl55_37
| ~ spl55_38 ),
inference(forward_subsumption_resolution,[],[f435,f322]) ).
fof(f437,plain,
( ~ spl55_34
| spl55_36
| ~ spl55_37
| ~ spl55_38 ),
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f505,plain,
( ! [X0] :
( ~ r1(sK32,sK39(X0))
| ~ r1(sK32,X0) )
| ~ spl55_39
| ~ spl55_42 ),
inference(resolution,[],[f330,f341]) ).
fof(f506,plain,
( ~ r1(sK32,sK32)
| ~ r1(sK32,sK32)
| ~ spl55_39
| ~ spl55_40
| ~ spl55_42 ),
inference(resolution,[],[f505,f334]) ).
fof(f507,plain,
( ~ r1(sK32,sK32)
| ~ spl55_39
| ~ spl55_40
| ~ spl55_42 ),
inference(duplicate_literal_removal,[],[f506]) ).
fof(f508,plain,
( $false
| ~ spl55_39
| ~ spl55_40
| ~ spl55_42 ),
inference(forward_subsumption_resolution,[],[f507,f154]) ).
fof(f509,plain,
( ~ spl55_39
| ~ spl55_40
| ~ spl55_42 ),
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f511,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK18(sK43),X0) )
| ~ spl55_35 ),
inference(resolution,[],[f69,f312]) ).
fof(f514,plain,
( ! [X2,X0,X1] :
( ~ r1(sK18(sK43),sK22(X1))
| ~ r1(sK22(X1),X0)
| p2(X0)
| p2(X1)
| ~ r1(X2,X1)
| ~ sP4(X2) )
| ~ spl55_35 ),
inference(resolution,[],[f511,f73]) ).
fof(f524,definition,
( spl55_67
<=> p2(sK18(sK43)) ),
introduced(definition,[new_symbols(definition,[spl55_67])],[avatar_definition]) ).
fof(f525,plain,
( ~ p2(sK18(sK43))
| spl55_67 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f526,plain,
( p2(sK18(sK43))
| ~ spl55_67 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f541,plain,
( ! [X2,X0,X1] :
( ~ r1(sK22(sK18(sK43)),X0)
| p2(X0)
| p2(sK18(sK43))
| ~ r1(X1,sK18(sK43))
| ~ sP4(X1)
| p2(sK18(sK43))
| ~ r1(X2,sK18(sK43))
| ~ p2(X2)
| sP3(X2)
| ~ r1(sK43,X2) )
| ~ spl55_33
| ~ spl55_35 ),
inference(resolution,[],[f514,f429]) ).
fof(f542,plain,
( ! [X2,X0,X1] :
( ~ r1(sK22(sK18(sK43)),X0)
| p2(X0)
| p2(sK18(sK43))
| ~ r1(X1,sK18(sK43))
| ~ sP4(X1)
| ~ r1(X2,sK18(sK43))
| ~ p2(X2)
| sP3(X2)
| ~ r1(sK43,X2) )
| ~ spl55_33
| ~ spl55_35 ),
inference(duplicate_literal_removal,[],[f541]) ).
fof(f544,definition,
( spl55_71
<=> ! [X2] :
( ~ r1(X2,sK18(sK43))
| ~ r1(sK43,X2)
| sP3(X2)
| ~ p2(X2) ) ),
introduced(definition,[new_symbols(definition,[spl55_71])],[avatar_definition]) ).
fof(f545,plain,
( ! [X2] :
( ~ r1(X2,sK18(sK43))
| ~ r1(sK43,X2)
| sP3(X2)
| ~ p2(X2) )
| ~ spl55_71 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f547,definition,
( spl55_72
<=> ! [X1] :
( ~ r1(X1,sK18(sK43))
| ~ sP4(X1) ) ),
introduced(definition,[new_symbols(definition,[spl55_72])],[avatar_definition]) ).
fof(f548,plain,
( ! [X1] :
( ~ sP4(X1)
| ~ r1(X1,sK18(sK43)) )
| ~ spl55_72 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f550,definition,
( spl55_73
<=> ! [X0] :
( ~ r1(sK22(sK18(sK43)),X0)
| p2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl55_73])],[avatar_definition]) ).
fof(f551,plain,
( ! [X0] :
( ~ r1(sK22(sK18(sK43)),X0)
| p2(X0) )
| ~ spl55_73 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f552,plain,
( spl55_71
| spl55_72
| spl55_67
| spl55_73
| ~ spl55_33
| ~ spl55_35 ),
inference(avatar_split_clause,[],[f542,f310,f303,f550,f524,f547,f544]) ).
fof(f555,plain,
( ! [X0,X1] :
( ~ r1(sK43,sK34(X0))
| p2(X1)
| ~ r1(sK34(X0),X1)
| ~ r1(sK32,X0)
| p2(X0) )
| ~ spl55_34
| ~ spl55_41 ),
inference(resolution,[],[f308,f338]) ).
fof(f556,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK34(sK43),X0)
| ~ r1(sK32,sK43)
| p2(sK43)
| ~ r1(sK32,sK43)
| p2(sK43) )
| ~ spl55_34
| ~ spl55_41
| ~ spl55_45 ),
inference(resolution,[],[f555,f353]) ).
fof(f557,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK34(sK43),X0)
| ~ r1(sK32,sK43)
| p2(sK43) )
| ~ spl55_34
| ~ spl55_41
| ~ spl55_45 ),
inference(duplicate_literal_removal,[],[f556]) ).
fof(f558,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK34(sK43),X0)
| p2(sK43) )
| ~ spl55_34
| ~ spl55_37
| ~ spl55_41
| ~ spl55_45 ),
inference(forward_subsumption_resolution,[],[f557,f322]) ).
fof(f559,plain,
( ! [X0] :
( ~ r1(sK34(sK43),X0)
| p2(X0) )
| ~ spl55_34
| spl55_36
| ~ spl55_37
| ~ spl55_41
| ~ spl55_45 ),
inference(forward_subsumption_resolution,[],[f558,f317]) ).
fof(f561,plain,
( p2(sK35(sK43))
| ~ r1(sK32,sK43)
| p2(sK43)
| ~ spl55_34
| spl55_36
| ~ spl55_37
| ~ spl55_41
| ~ spl55_44
| ~ spl55_45 ),
inference(resolution,[],[f559,f349]) ).
fof(f600,plain,
( ~ r1(sK32,sK43)
| p2(sK43)
| ~ spl55_34
| spl55_36
| ~ spl55_37
| ~ spl55_41
| ~ spl55_43
| ~ spl55_44
| ~ spl55_45 ),
inference(forward_subsumption_resolution,[],[f561,f345]) ).
fof(f601,plain,
( p2(sK43)
| ~ spl55_34
| spl55_36
| ~ spl55_37
| ~ spl55_41
| ~ spl55_43
| ~ spl55_44
| ~ spl55_45 ),
inference(forward_subsumption_resolution,[],[f600,f322]) ).
fof(f602,plain,
( $false
| ~ spl55_34
| spl55_36
| ~ spl55_37
| ~ spl55_41
| ~ spl55_43
| ~ spl55_44
| ~ spl55_45 ),
inference(forward_subsumption_resolution,[],[f601,f317]) ).
fof(f603,plain,
( ~ spl55_34
| spl55_36
| ~ spl55_37
| ~ spl55_41
| ~ spl55_43
| ~ spl55_44
| ~ spl55_45 ),
inference(avatar_contradiction_clause,[],[f602]) ).
fof(f604,plain,
( ! [X0,X1] :
( ~ r1(sK12(sK32),X0)
| ~ r1(X0,X1)
| p2(X1)
| ~ p2(X0)
| sP6(sK32) )
| ~ spl55_32 ),
inference(resolution,[],[f300,f58]) ).
fof(f605,plain,
( r1(sK32,sK12(sK32))
| sP6(sK32)
| ~ spl55_32 ),
inference(resolution,[],[f300,f60]) ).
fof(f608,definition,
( spl55_80
<=> sP6(sK32) ),
introduced(definition,[new_symbols(definition,[spl55_80])],[avatar_definition]) ).
fof(f609,plain,
( ~ sP6(sK32)
| spl55_80 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f610,plain,
( sP6(sK32)
| ~ spl55_80 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f612,definition,
( spl55_81
<=> r1(sK32,sK12(sK32)) ),
introduced(definition,[new_symbols(definition,[spl55_81])],[avatar_definition]) ).
fof(f614,plain,
( r1(sK32,sK12(sK32))
| ~ spl55_81 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f615,plain,
( spl55_80
| spl55_81
| ~ spl55_32 ),
inference(avatar_split_clause,[],[f605,f298,f612,f608]) ).
fof(f617,definition,
( spl55_82
<=> ! [X0,X1] :
( ~ r1(sK12(sK32),X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl55_82])],[avatar_definition]) ).
fof(f618,plain,
( ! [X0,X1] :
( ~ p2(X0)
| ~ r1(sK12(sK32),X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl55_82 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f619,plain,
( spl55_80
| spl55_82
| ~ spl55_32 ),
inference(avatar_split_clause,[],[f604,f298,f617,f608]) ).
fof(f685,plain,
( ! [X0,X1] :
( ~ r1(sK12(sK32),sK34(X0))
| p2(X1)
| ~ r1(sK34(X0),X1)
| ~ r1(sK32,X0)
| p2(X0) )
| ~ spl55_41
| ~ spl55_82 ),
inference(resolution,[],[f618,f338]) ).
fof(f689,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK34(sK12(sK32)),X0)
| ~ r1(sK32,sK12(sK32))
| p2(sK12(sK32))
| ~ r1(sK32,sK12(sK32))
| p2(sK12(sK32)) )
| ~ spl55_41
| ~ spl55_45
| ~ spl55_82 ),
inference(resolution,[],[f685,f353]) ).
fof(f690,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK34(sK12(sK32)),X0)
| ~ r1(sK32,sK12(sK32))
| p2(sK12(sK32)) )
| ~ spl55_41
| ~ spl55_45
| ~ spl55_82 ),
inference(duplicate_literal_removal,[],[f689]) ).
fof(f691,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK34(sK12(sK32)),X0)
| p2(sK12(sK32)) )
| ~ spl55_41
| ~ spl55_45
| ~ spl55_81
| ~ spl55_82 ),
inference(forward_subsumption_resolution,[],[f690,f614]) ).
fof(f693,definition,
( spl55_91
<=> p2(sK12(sK32)) ),
introduced(definition,[new_symbols(definition,[spl55_91])],[avatar_definition]) ).
fof(f694,plain,
( ~ p2(sK12(sK32))
| spl55_91 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f695,plain,
( p2(sK12(sK32))
| ~ spl55_91 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f697,definition,
( spl55_92
<=> ! [X0] :
( p2(X0)
| ~ r1(sK34(sK12(sK32)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl55_92])],[avatar_definition]) ).
fof(f698,plain,
( ! [X0] :
( ~ r1(sK34(sK12(sK32)),X0)
| p2(X0) )
| ~ spl55_92 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f717,plain,
( p2(sK35(sK12(sK32)))
| ~ r1(sK32,sK12(sK32))
| p2(sK12(sK32))
| ~ spl55_44
| ~ spl55_92 ),
inference(resolution,[],[f698,f349]) ).
fof(f770,plain,
( ~ r1(sK32,sK12(sK32))
| p2(sK12(sK32))
| ~ spl55_43
| ~ spl55_44
| ~ spl55_92 ),
inference(forward_subsumption_resolution,[],[f717,f345]) ).
fof(f772,plain,
( p2(sK12(sK32))
| ~ spl55_43
| ~ spl55_44
| ~ spl55_81
| ~ spl55_92 ),
inference(forward_subsumption_resolution,[],[f770,f614]) ).
fof(f773,plain,
( spl55_91
| ~ spl55_43
| ~ spl55_44
| ~ spl55_81
| ~ spl55_92 ),
inference(avatar_split_clause,[],[f772,f697,f612,f348,f344,f693]) ).
fof(f776,plain,
( sP6(sK32)
| ~ sP7(sK32)
| ~ spl55_91 ),
inference(resolution,[],[f695,f59]) ).
fof(f793,plain,
( ~ sP7(sK32)
| spl55_80
| ~ spl55_91 ),
inference(forward_subsumption_resolution,[],[f776,f609]) ).
fof(f795,plain,
( $false
| ~ spl55_32
| spl55_80
| ~ spl55_91 ),
inference(forward_subsumption_resolution,[],[f793,f300]) ).
fof(f796,plain,
( ~ spl55_32
| spl55_80
| ~ spl55_91 ),
inference(avatar_contradiction_clause,[],[f795]) ).
fof(f798,plain,
( ! [X0,X1] :
( r1(X1,sK15(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK32,X0) )
| ~ spl55_80 ),
inference(resolution,[],[f610,f64]) ).
fof(f799,plain,
( ! [X0,X1] :
( p2(sK15(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK32,X0) )
| ~ spl55_80 ),
inference(resolution,[],[f610,f61]) ).
fof(f807,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(sK54(X2),sK15(X0))
| ~ r1(X1,X0)
| ~ r1(sK32,X1)
| p2(X2)
| p2(X0)
| ~ r1(sK15(X0),X3)
| p2(X3)
| ~ r1(sK32,X2) )
| ~ spl55_80 ),
inference(resolution,[],[f799,f101]) ).
fof(f1076,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0,sK54(X1))
| ~ r1(sK32,X0)
| p2(X1)
| p2(sK54(X1))
| ~ r1(sK15(sK54(X1)),X2)
| p2(X2)
| ~ r1(sK32,X1)
| p2(sK54(X1))
| ~ r1(X3,sK54(X1))
| ~ r1(sK32,X3) )
| ~ spl55_80 ),
inference(resolution,[],[f807,f798]) ).
fof(f1077,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0,sK54(X1))
| ~ r1(sK32,X0)
| p2(X1)
| p2(sK54(X1))
| ~ r1(sK15(sK54(X1)),X2)
| p2(X2)
| ~ r1(sK32,X1)
| ~ r1(X3,sK54(X1))
| ~ r1(sK32,X3) )
| ~ spl55_80 ),
inference(duplicate_literal_removal,[],[f1076]) ).
fof(f1078,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0,sK54(X1))
| ~ r1(sK32,X0)
| p2(X1)
| ~ r1(sK15(sK54(X1)),X2)
| p2(X2)
| ~ r1(sK32,X1)
| ~ r1(X3,sK54(X1))
| ~ r1(sK32,X3) )
| ~ spl55_80 ),
inference(forward_subsumption_resolution,[],[f1077,f102]) ).
fof(f1176,plain,
( ! [X2,X0,X1] :
( ~ r1(sK32,X0)
| p2(X0)
| ~ r1(sK15(sK54(X0)),X1)
| p2(X1)
| ~ r1(sK32,X0)
| ~ r1(X2,sK54(X0))
| ~ r1(sK32,X2)
| p2(X0)
| ~ r1(sK32,X0) )
| ~ spl55_80 ),
inference(resolution,[],[f1078,f103]) ).
fof(f1178,plain,
( ! [X2,X0,X1] :
( ~ r1(X2,sK54(X0))
| p2(X0)
| ~ r1(sK15(sK54(X0)),X1)
| p2(X1)
| ~ r1(sK32,X0)
| ~ r1(sK32,X2) )
| ~ spl55_80 ),
inference(duplicate_literal_removal,[],[f1176]) ).
fof(f1186,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK15(sK54(X0)),X1)
| p2(X1)
| ~ r1(sK32,X0)
| ~ r1(sK32,X0)
| p2(X0)
| ~ r1(sK32,X0) )
| ~ spl55_80 ),
inference(resolution,[],[f1178,f103]) ).
fof(f1188,plain,
( ! [X0,X1] :
( ~ r1(sK15(sK54(X0)),X1)
| p2(X0)
| p2(X1)
| ~ r1(sK32,X0) )
| ~ spl55_80 ),
inference(duplicate_literal_removal,[],[f1186]) ).
fof(f1192,plain,
( ! [X2,X0,X1] :
( p2(X0)
| p2(sK16(sK54(X0)))
| ~ r1(sK32,X0)
| ~ r1(X1,sK54(X0))
| p2(sK54(X0))
| ~ r1(X2,X1)
| ~ sP6(X2) )
| ~ spl55_80 ),
inference(resolution,[],[f1188,f63]) ).
fof(f1206,plain,
( ! [X2,X0,X1] :
( ~ sP6(X2)
| p2(sK16(sK54(X0)))
| ~ r1(sK32,X0)
| ~ r1(X1,sK54(X0))
| ~ r1(X2,X1)
| p2(X0) )
| ~ spl55_80 ),
inference(forward_subsumption_resolution,[],[f1192,f102]) ).
fof(f1228,plain,
( ! [X0,X1] :
( ~ r1(X1,sK54(X0))
| ~ r1(sK32,X0)
| p2(sK16(sK54(X0)))
| ~ r1(sK32,X1)
| p2(X0) )
| ~ spl55_80 ),
inference(resolution,[],[f1206,f610]) ).
fof(f1231,plain,
( ! [X0] :
( ~ r1(sK32,X0)
| p2(sK16(sK54(X0)))
| ~ r1(sK32,X0)
| p2(X0)
| p2(X0)
| ~ r1(sK32,X0) )
| ~ spl55_80 ),
inference(resolution,[],[f1228,f103]) ).
fof(f1233,plain,
( ! [X0] :
( p2(sK16(sK54(X0)))
| ~ r1(sK32,X0)
| p2(X0) )
| ~ spl55_80 ),
inference(duplicate_literal_removal,[],[f1231]) ).
fof(f1236,plain,
( ! [X2,X0,X1] :
( ~ r1(sK32,X0)
| p2(X0)
| ~ r1(X1,sK54(X0))
| p2(sK54(X0))
| ~ r1(X2,X1)
| ~ sP6(X2) )
| ~ spl55_80 ),
inference(resolution,[],[f1233,f62]) ).
fof(f1240,plain,
( ! [X2,X0,X1] :
( ~ sP6(X2)
| p2(X0)
| ~ r1(X1,sK54(X0))
| ~ r1(X2,X1)
| ~ r1(sK32,X0) )
| ~ spl55_80 ),
inference(forward_subsumption_resolution,[],[f1236,f102]) ).
fof(f1247,plain,
( ! [X0,X1] :
( ~ r1(X1,sK54(X0))
| p2(X0)
| ~ r1(sK32,X1)
| ~ r1(sK32,X0) )
| ~ spl55_80 ),
inference(resolution,[],[f1240,f610]) ).
fof(f1249,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK32,X0)
| ~ r1(sK32,X0)
| p2(X0)
| ~ r1(sK32,X0) )
| ~ spl55_80 ),
inference(resolution,[],[f1247,f103]) ).
fof(f1251,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK32,X0) )
| ~ spl55_80 ),
inference(duplicate_literal_removal,[],[f1249]) ).
fof(f1252,plain,
( spl55_49
| ~ spl55_80 ),
inference(avatar_split_clause,[],[f1251,f608,f378]) ).
fof(f1255,plain,
( p2(sK33)
| ~ spl55_47
| ~ spl55_49 ),
inference(resolution,[],[f379,f363]) ).
fof(f1259,plain,
( p2(sK9(sK32))
| ~ sP8(sK32)
| ~ spl55_49 ),
inference(resolution,[],[f379,f53]) ).
fof(f1270,plain,
( $false
| spl55_46
| ~ spl55_47
| ~ spl55_49 ),
inference(forward_subsumption_resolution,[],[f1255,f358]) ).
fof(f1271,plain,
( spl55_46
| ~ spl55_47
| ~ spl55_49 ),
inference(avatar_contradiction_clause,[],[f1270]) ).
fof(f1277,plain,
( ~ sP8(sK32)
| ~ spl55_49 ),
inference(forward_subsumption_resolution,[],[f1259,f52]) ).
fof(f1278,plain,
( $false
| ~ spl55_38
| ~ spl55_49 ),
inference(forward_subsumption_resolution,[],[f1277,f327]) ).
fof(f1279,plain,
( ~ spl55_38
| ~ spl55_49 ),
inference(avatar_contradiction_clause,[],[f1278]) ).
fof(f1301,plain,
( ! [X0,X1] :
( ~ r1(sK18(sK43),X0)
| p2(X1)
| ~ p2(X0)
| ~ r1(X0,X1) )
| ~ spl55_35 ),
inference(resolution,[],[f312,f69]) ).
fof(f1322,plain,
( ! [X0] :
( r1(X0,sK10(X0))
| p2(X0)
| ~ r1(sK32,X0) )
| ~ spl55_38 ),
inference(resolution,[],[f327,f51]) ).
fof(f1323,plain,
( ! [X0] :
( p2(sK10(X0))
| p2(X0)
| ~ r1(sK32,X0) )
| ~ spl55_38 ),
inference(resolution,[],[f327,f48]) ).
fof(f1374,plain,
( ! [X2,X3,X0,X1] :
( sP3(X2)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p2(X0)
| ~ r1(sK43,X2)
| p2(X3)
| r1(X3,sK22(X3))
| ~ r1(X2,X3) )
| ~ spl55_31 ),
inference(resolution,[],[f296,f76]) ).
fof(f1396,plain,
( ~ sP5(sK43)
| ~ spl55_67 ),
inference(resolution,[],[f526,f70]) ).
fof(f1412,plain,
( $false
| ~ spl55_35
| ~ spl55_67 ),
inference(forward_subsumption_resolution,[],[f1396,f312]) ).
fof(f1413,plain,
( ~ spl55_35
| ~ spl55_67 ),
inference(avatar_contradiction_clause,[],[f1412]) ).
fof(f1480,plain,
( ! [X0,X1] :
( ~ r1(sK12(sK32),sK10(X0))
| ~ r1(sK32,X0)
| p2(X0)
| p2(X1)
| ~ r1(sK10(X0),X1) )
| ~ spl55_38
| ~ spl55_82 ),
inference(resolution,[],[f1323,f618]) ).
fof(f1575,plain,
( ! [X2,X3,X0,X1,X4] :
( r1(X4,sK26(X4))
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ p2(X1)
| ~ r1(sK43,X2)
| p2(X3)
| r1(X3,sK22(X3))
| ~ r1(X2,X3)
| p2(X4)
| p2(X0)
| ~ r1(X2,X4) )
| ~ spl55_31 ),
inference(resolution,[],[f1374,f83]) ).
fof(f1576,plain,
( ! [X2,X3,X0,X1,X4] :
( p2(sK26(X4))
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ p2(X1)
| ~ r1(sK43,X2)
| p2(X3)
| r1(X3,sK22(X3))
| ~ r1(X2,X3)
| p2(X4)
| p2(X0)
| ~ r1(X2,X4) )
| ~ spl55_31 ),
inference(resolution,[],[f1374,f80]) ).
fof(f1625,plain,
( ! [X0] :
( ~ r1(sK32,sK12(sK32))
| p2(sK12(sK32))
| p2(X0)
| ~ r1(sK10(sK12(sK32)),X0)
| p2(sK12(sK32))
| ~ r1(sK32,sK12(sK32)) )
| ~ spl55_38
| ~ spl55_82 ),
inference(resolution,[],[f1480,f1322]) ).
fof(f1626,plain,
( ! [X0] :
( ~ r1(sK32,sK12(sK32))
| p2(sK12(sK32))
| p2(X0)
| ~ r1(sK10(sK12(sK32)),X0) )
| ~ spl55_38
| ~ spl55_82 ),
inference(duplicate_literal_removal,[],[f1625]) ).
fof(f1671,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p2(X0)
| ~ r1(sK43,X2)
| p2(X3)
| r1(X3,sK22(X3))
| ~ r1(X2,X3)
| p2(sK18(sK43))
| p2(X1)
| ~ r1(X2,sK18(sK43))
| p2(X4)
| ~ p2(sK26(sK18(sK43)))
| ~ r1(sK26(sK18(sK43)),X4) )
| ~ spl55_31
| ~ spl55_35 ),
inference(resolution,[],[f1575,f1301]) ).
fof(f1677,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p2(X0)
| ~ r1(sK43,X2)
| p2(X3)
| r1(X3,sK22(X3))
| ~ r1(X2,X3)
| p2(sK18(sK43))
| p2(X1)
| ~ r1(X2,sK18(sK43))
| p2(X4)
| ~ r1(sK26(sK18(sK43)),X4) )
| ~ spl55_31
| ~ spl55_35 ),
inference(forward_subsumption_resolution,[],[f1671,f1576]) ).
fof(f1678,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p2(X0)
| ~ r1(sK43,X2)
| p2(X3)
| r1(X3,sK22(X3))
| ~ r1(X2,X3)
| p2(X1)
| ~ r1(X2,sK18(sK43))
| p2(X4)
| ~ r1(sK26(sK18(sK43)),X4) )
| ~ spl55_31
| ~ spl55_35
| spl55_67 ),
inference(forward_subsumption_resolution,[],[f1677,f525]) ).
fof(f1680,definition,
( spl55_215
<=> ! [X4] :
( p2(X4)
| ~ r1(sK26(sK18(sK43)),X4) ) ),
introduced(definition,[new_symbols(definition,[spl55_215])],[avatar_definition]) ).
fof(f1681,plain,
( ! [X4] :
( ~ r1(sK26(sK18(sK43)),X4)
| p2(X4) )
| ~ spl55_215 ),
inference(avatar_component_clause,[],[f1680]) ).
fof(f1683,definition,
( spl55_216
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0,X1)
| ~ r1(X2,sK18(sK43))
| p2(X1)
| ~ r1(X2,X3)
| p2(X3)
| r1(X3,sK22(X3))
| ~ r1(sK43,X2)
| ~ p2(X0)
| ~ r1(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl55_216])],[avatar_definition]) ).
fof(f1684,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X2,sK18(sK43))
| ~ r1(X0,X1)
| p2(X1)
| ~ r1(X2,X3)
| p2(X3)
| r1(X3,sK22(X3))
| ~ r1(sK43,X2)
| ~ p2(X0)
| ~ r1(X2,X0) )
| ~ spl55_216 ),
inference(avatar_component_clause,[],[f1683]) ).
fof(f1685,plain,
( spl55_215
| spl55_216
| ~ spl55_31
| ~ spl55_35
| spl55_67 ),
inference(avatar_split_clause,[],[f1678,f524,f310,f295,f1683,f1680]) ).
fof(f1912,plain,
( ! [X0] :
( p2(sK23(sK18(sK43)))
| p2(sK18(sK43))
| ~ r1(X0,sK18(sK43))
| ~ sP4(X0) )
| ~ spl55_73 ),
inference(resolution,[],[f551,f75]) ).
fof(f1958,definition,
( spl55_252
<=> p2(sK22(sK18(sK43))) ),
introduced(definition,[new_symbols(definition,[spl55_252])],[avatar_definition]) ).
fof(f1959,plain,
( ~ p2(sK22(sK18(sK43)))
| spl55_252 ),
inference(avatar_component_clause,[],[f1958]) ).
fof(f1960,plain,
( p2(sK22(sK18(sK43)))
| ~ spl55_252 ),
inference(avatar_component_clause,[],[f1958]) ).
fof(f1971,plain,
( ! [X0] :
( p2(sK18(sK43))
| ~ r1(X0,sK18(sK43))
| ~ sP4(X0) )
| ~ spl55_73 ),
inference(forward_subsumption_resolution,[],[f1912,f74]) ).
fof(f1977,plain,
( ! [X0] :
( ~ r1(X0,sK18(sK43))
| ~ sP4(X0) )
| spl55_67
| ~ spl55_73 ),
inference(forward_subsumption_resolution,[],[f1971,f525]) ).
fof(f1978,plain,
( spl55_72
| spl55_67
| ~ spl55_73 ),
inference(avatar_split_clause,[],[f1977,f550,f524,f547]) ).
fof(f1999,plain,
( ! [X0] :
( p2(sK18(sK43))
| ~ r1(X0,sK18(sK43))
| ~ sP4(X0) )
| spl55_252 ),
inference(resolution,[],[f1959,f73]) ).
fof(f2000,plain,
( ! [X0] :
( ~ r1(X0,sK18(sK43))
| ~ sP4(X0) )
| spl55_67
| spl55_252 ),
inference(forward_subsumption_resolution,[],[f1999,f525]) ).
fof(f2001,plain,
( spl55_72
| spl55_67
| spl55_252 ),
inference(avatar_split_clause,[],[f2000,f1958,f524,f547]) ).
fof(f2019,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ r1(sK17(sK43),X2)
| p2(X2)
| r1(X2,sK22(X2))
| ~ r1(sK43,sK17(sK43))
| ~ p2(X0)
| ~ r1(sK17(sK43),X0)
| ~ sP5(sK43) )
| ~ spl55_216 ),
inference(resolution,[],[f1684,f71]) ).
fof(f2020,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ r1(sK17(sK43),X2)
| p2(X2)
| r1(X2,sK22(X2))
| ~ p2(X0)
| ~ r1(sK17(sK43),X0)
| ~ sP5(sK43) )
| ~ spl55_216 ),
inference(forward_subsumption_resolution,[],[f2019,f72]) ).
fof(f2021,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ r1(sK17(sK43),X2)
| p2(X2)
| r1(X2,sK22(X2))
| ~ p2(X0)
| ~ r1(sK17(sK43),X0) )
| ~ spl55_35
| ~ spl55_216 ),
inference(forward_subsumption_resolution,[],[f2020,f312]) ).
fof(f2023,definition,
( spl55_259
<=> ! [X2] :
( ~ r1(sK17(sK43),X2)
| r1(X2,sK22(X2))
| p2(X2) ) ),
introduced(definition,[new_symbols(definition,[spl55_259])],[avatar_definition]) ).
fof(f2024,plain,
( ! [X2] :
( r1(X2,sK22(X2))
| ~ r1(sK17(sK43),X2)
| p2(X2) )
| ~ spl55_259 ),
inference(avatar_component_clause,[],[f2023]) ).
fof(f2026,definition,
( spl55_260
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK17(sK43),X0)
| ~ p2(X0)
| p2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl55_260])],[avatar_definition]) ).
fof(f2027,plain,
( ! [X0,X1] :
( ~ r1(sK17(sK43),X0)
| ~ r1(X0,X1)
| ~ p2(X0)
| p2(X1) )
| ~ spl55_260 ),
inference(avatar_component_clause,[],[f2026]) ).
fof(f2326,plain,
( ! [X0] :
( ~ r1(sK17(sK43),sK18(sK43))
| p2(sK18(sK43))
| p2(X0)
| ~ p2(sK22(sK18(sK43)))
| ~ r1(sK22(sK18(sK43)),X0) )
| ~ spl55_35
| ~ spl55_259 ),
inference(resolution,[],[f2024,f1301]) ).
fof(f2340,plain,
( ! [X0] :
( ~ r1(sK17(sK43),sK18(sK43))
| p2(X0)
| ~ p2(sK22(sK18(sK43)))
| ~ r1(sK22(sK18(sK43)),X0) )
| ~ spl55_35
| spl55_67
| ~ spl55_259 ),
inference(forward_subsumption_resolution,[],[f2326,f525]) ).
fof(f2342,plain,
( ! [X0] :
( ~ r1(sK17(sK43),sK18(sK43))
| p2(X0)
| ~ r1(sK22(sK18(sK43)),X0) )
| ~ spl55_35
| spl55_67
| ~ spl55_252
| ~ spl55_259 ),
inference(forward_subsumption_resolution,[],[f2340,f1960]) ).
fof(f2344,definition,
( spl55_297
<=> r1(sK17(sK43),sK18(sK43)) ),
introduced(definition,[new_symbols(definition,[spl55_297])],[avatar_definition]) ).
fof(f2345,plain,
( r1(sK17(sK43),sK18(sK43))
| ~ spl55_297 ),
inference(avatar_component_clause,[],[f2344]) ).
fof(f2346,plain,
( ~ r1(sK17(sK43),sK18(sK43))
| spl55_297 ),
inference(avatar_component_clause,[],[f2344]) ).
fof(f2347,plain,
( spl55_73
| ~ spl55_297
| ~ spl55_35
| spl55_67
| ~ spl55_252
| ~ spl55_259 ),
inference(avatar_split_clause,[],[f2342,f2023,f1958,f524,f310,f2344,f550]) ).
fof(f2353,plain,
( ~ sP5(sK43)
| spl55_297 ),
inference(resolution,[],[f2346,f71]) ).
fof(f2354,plain,
( $false
| ~ spl55_35
| spl55_297 ),
inference(forward_subsumption_resolution,[],[f2353,f312]) ).
fof(f2355,plain,
( ~ spl55_35
| spl55_297 ),
inference(avatar_contradiction_clause,[],[f2354]) ).
fof(f2398,plain,
( ! [X0] :
( p2(sK27(sK18(sK43)))
| p2(sK18(sK43))
| ~ r1(X0,sK18(sK43))
| ~ sP3(X0) )
| ~ spl55_215 ),
inference(resolution,[],[f1681,f82]) ).
fof(f2459,plain,
( ! [X0] :
( p2(sK18(sK43))
| ~ r1(X0,sK18(sK43))
| ~ sP3(X0) )
| ~ spl55_215 ),
inference(forward_subsumption_resolution,[],[f2398,f81]) ).
fof(f2469,plain,
( ! [X0] :
( ~ sP3(X0)
| ~ r1(X0,sK18(sK43)) )
| spl55_67
| ~ spl55_215 ),
inference(forward_subsumption_resolution,[],[f2459,f525]) ).
fof(f2473,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0,sK18(sK43))
| p2(X1)
| ~ r1(X2,X1)
| ~ r1(X0,X2)
| ~ p2(X2)
| ~ r1(sK43,X0)
| p2(X3)
| r1(X3,sK22(X3))
| ~ r1(X0,X3) )
| ~ spl55_31
| spl55_67
| ~ spl55_215 ),
inference(resolution,[],[f2469,f1374]) ).
fof(f2474,plain,
( spl55_216
| ~ spl55_31
| spl55_67
| ~ spl55_215 ),
inference(avatar_split_clause,[],[f2473,f1680,f524,f295,f1683]) ).
fof(f2477,plain,
( spl55_259
| spl55_260
| ~ spl55_35
| ~ spl55_216 ),
inference(avatar_split_clause,[],[f2021,f1683,f310,f2026,f2023]) ).
fof(f2490,plain,
( ! [X0] :
( ~ r1(X0,sK18(sK43))
| ~ p2(X0)
| sP3(X0)
| ~ r1(sK43,X0) )
| ~ spl55_33
| ~ spl55_72 ),
inference(resolution,[],[f548,f304]) ).
fof(f2675,plain,
( ! [X0] :
( p2(sK12(sK32))
| p2(X0)
| ~ r1(sK10(sK12(sK32)),X0) )
| ~ spl55_38
| ~ spl55_81
| ~ spl55_82 ),
inference(forward_subsumption_resolution,[],[f1626,f614]) ).
fof(f2694,definition,
( spl55_322
<=> r1(sK43,sK17(sK43)) ),
introduced(definition,[new_symbols(definition,[spl55_322])],[avatar_definition]) ).
fof(f2695,plain,
( r1(sK43,sK17(sK43))
| ~ spl55_322 ),
inference(avatar_component_clause,[],[f2694]) ).
fof(f2696,plain,
( ~ r1(sK43,sK17(sK43))
| spl55_322 ),
inference(avatar_component_clause,[],[f2694]) ).
fof(f2698,definition,
( spl55_323
<=> sP3(sK17(sK43)) ),
introduced(definition,[new_symbols(definition,[spl55_323])],[avatar_definition]) ).
fof(f2700,plain,
( sP3(sK17(sK43))
| ~ spl55_323 ),
inference(avatar_component_clause,[],[f2698]) ).
fof(f2702,plain,
( ! [X0] :
( ~ r1(sK10(sK12(sK32)),X0)
| p2(X0) )
| ~ spl55_38
| ~ spl55_81
| ~ spl55_82
| spl55_91 ),
inference(forward_subsumption_resolution,[],[f2675,f694]) ).
fof(f2704,plain,
( spl55_71
| ~ spl55_33
| ~ spl55_72 ),
inference(avatar_split_clause,[],[f2490,f547,f303,f544]) ).
fof(f2737,plain,
( ! [X0] :
( p2(sK11(sK12(sK32)))
| p2(sK12(sK32))
| ~ r1(X0,sK12(sK32))
| ~ sP8(X0) )
| ~ spl55_38
| ~ spl55_81
| ~ spl55_82
| spl55_91 ),
inference(resolution,[],[f2702,f50]) ).
fof(f2795,plain,
( ! [X0] :
( p2(sK12(sK32))
| ~ r1(X0,sK12(sK32))
| ~ sP8(X0) )
| ~ spl55_38
| ~ spl55_81
| ~ spl55_82
| spl55_91 ),
inference(forward_subsumption_resolution,[],[f2737,f49]) ).
fof(f2797,plain,
( ! [X0] :
( ~ sP8(X0)
| ~ r1(X0,sK12(sK32)) )
| ~ spl55_38
| ~ spl55_81
| ~ spl55_82
| spl55_91 ),
inference(forward_subsumption_resolution,[],[f2795,f694]) ).
fof(f2800,plain,
( ~ r1(sK43,sK17(sK43))
| sP3(sK17(sK43))
| ~ p2(sK17(sK43))
| ~ spl55_71
| ~ spl55_297 ),
inference(resolution,[],[f545,f2345]) ).
fof(f2802,definition,
( spl55_338
<=> p2(sK17(sK43)) ),
introduced(definition,[new_symbols(definition,[spl55_338])],[avatar_definition]) ).
fof(f2804,plain,
( ~ p2(sK17(sK43))
| spl55_338 ),
inference(avatar_component_clause,[],[f2802]) ).
fof(f2805,plain,
( ~ spl55_338
| spl55_323
| ~ spl55_322
| ~ spl55_71
| ~ spl55_297 ),
inference(avatar_split_clause,[],[f2800,f2344,f544,f2694,f2698,f2802]) ).
fof(f2821,plain,
( ~ r1(sK32,sK12(sK32))
| ~ spl55_38
| ~ spl55_81
| ~ spl55_82
| spl55_91 ),
inference(resolution,[],[f2797,f327]) ).
fof(f2822,plain,
( $false
| ~ spl55_38
| ~ spl55_81
| ~ spl55_82
| spl55_91 ),
inference(forward_subsumption_resolution,[],[f2821,f614]) ).
fof(f2823,plain,
( ~ spl55_38
| ~ spl55_81
| ~ spl55_82
| spl55_91 ),
inference(avatar_contradiction_clause,[],[f2822]) ).
fof(f2824,plain,
( spl55_91
| spl55_92
| ~ spl55_41
| ~ spl55_45
| ~ spl55_81
| ~ spl55_82 ),
inference(avatar_split_clause,[],[f691,f617,f612,f352,f337,f697,f693]) ).
fof(f2885,plain,
( ! [X0,X1] :
( ~ r1(sK18(sK43),X0)
| p2(X1)
| ~ p2(X0)
| ~ r1(X0,X1) )
| ~ spl55_35 ),
inference(resolution,[],[f312,f69]) ).
fof(f2886,plain,
( ! [X0] :
( r1(X0,sK19(X0))
| p2(X0)
| ~ r1(sK43,X0) )
| ~ spl55_35 ),
inference(resolution,[],[f312,f68]) ).
fof(f2887,plain,
( ! [X0] :
( p2(sK19(X0))
| p2(X0)
| ~ r1(sK43,X0) )
| ~ spl55_35 ),
inference(resolution,[],[f312,f65]) ).
fof(f2888,plain,
( r1(sK43,sK17(sK43))
| ~ spl55_35 ),
inference(resolution,[],[f312,f72]) ).
fof(f2889,plain,
( $false
| ~ spl55_35
| spl55_322 ),
inference(forward_subsumption_resolution,[],[f2888,f2696]) ).
fof(f2890,plain,
( ~ spl55_35
| spl55_322 ),
inference(avatar_contradiction_clause,[],[f2889]) ).
fof(f2915,plain,
( ! [X2,X0,X1] :
( ~ r1(X2,sK18(sK43))
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(X2,X0)
| sP3(X2)
| ~ r1(sK43,X2)
| ~ p2(X0) )
| ~ spl55_31
| ~ spl55_72 ),
inference(resolution,[],[f296,f548]) ).
fof(f3324,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK17(sK43),X1)
| sP3(sK17(sK43))
| ~ r1(sK43,sK17(sK43))
| ~ p2(X1) )
| ~ spl55_31
| ~ spl55_72
| ~ spl55_297 ),
inference(resolution,[],[f2915,f2345]) ).
fof(f3325,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK17(sK43),X1)
| sP3(sK17(sK43))
| ~ p2(X1) )
| ~ spl55_31
| ~ spl55_72
| ~ spl55_297
| ~ spl55_322 ),
inference(forward_subsumption_resolution,[],[f3324,f2695]) ).
fof(f3327,plain,
( spl55_323
| spl55_260
| ~ spl55_31
| ~ spl55_72
| ~ spl55_297
| ~ spl55_322 ),
inference(avatar_split_clause,[],[f3325,f2694,f2344,f547,f295,f2026,f2698]) ).
fof(f3334,plain,
( ! [X0] :
( ~ r1(sK19(sK17(sK43)),X0)
| ~ p2(sK19(sK17(sK43)))
| p2(X0)
| p2(sK17(sK43))
| ~ r1(sK43,sK17(sK43)) )
| ~ spl55_35
| ~ spl55_260 ),
inference(resolution,[],[f2027,f2886]) ).
fof(f3354,plain,
( ! [X0] :
( ~ r1(sK19(sK17(sK43)),X0)
| p2(X0)
| p2(sK17(sK43))
| ~ r1(sK43,sK17(sK43)) )
| ~ spl55_35
| ~ spl55_260 ),
inference(forward_subsumption_resolution,[],[f3334,f2887]) ).
fof(f3374,plain,
( ! [X0] :
( ~ r1(sK19(sK17(sK43)),X0)
| p2(X0)
| ~ r1(sK43,sK17(sK43)) )
| ~ spl55_35
| ~ spl55_260
| spl55_338 ),
inference(forward_subsumption_resolution,[],[f3354,f2804]) ).
fof(f3391,plain,
( ! [X0] :
( ~ r1(sK19(sK17(sK43)),X0)
| p2(X0) )
| ~ spl55_35
| ~ spl55_260
| ~ spl55_322
| spl55_338 ),
inference(forward_subsumption_resolution,[],[f3374,f2695]) ).
fof(f3494,plain,
( ! [X0] :
( p2(sK20(sK17(sK43)))
| p2(sK17(sK43))
| ~ r1(X0,sK17(sK43))
| ~ sP5(X0) )
| ~ spl55_35
| ~ spl55_260
| ~ spl55_322
| spl55_338 ),
inference(resolution,[],[f3391,f67]) ).
fof(f3567,plain,
( ! [X0] :
( p2(sK17(sK43))
| ~ r1(X0,sK17(sK43))
| ~ sP5(X0) )
| ~ spl55_35
| ~ spl55_260
| ~ spl55_322
| spl55_338 ),
inference(forward_subsumption_resolution,[],[f3494,f66]) ).
fof(f3569,plain,
( ! [X0] :
( ~ sP5(X0)
| ~ r1(X0,sK17(sK43)) )
| ~ spl55_35
| ~ spl55_260
| ~ spl55_322
| spl55_338 ),
inference(forward_subsumption_resolution,[],[f3567,f2804]) ).
fof(f3582,plain,
( ~ r1(sK43,sK17(sK43))
| ~ spl55_35
| ~ spl55_260
| ~ spl55_322
| spl55_338 ),
inference(resolution,[],[f3569,f312]) ).
fof(f3583,plain,
( $false
| ~ spl55_35
| ~ spl55_260
| ~ spl55_322
| spl55_338 ),
inference(forward_subsumption_resolution,[],[f3582,f2695]) ).
fof(f3584,plain,
( ~ spl55_35
| ~ spl55_260
| ~ spl55_322
| spl55_338 ),
inference(avatar_contradiction_clause,[],[f3583]) ).
fof(f3600,plain,
( ! [X0] :
( r1(X0,sK26(X0))
| p2(X0)
| ~ r1(sK17(sK43),X0) )
| ~ spl55_323 ),
inference(resolution,[],[f2700,f83]) ).
fof(f3601,plain,
( ! [X0] :
( p2(sK26(X0))
| p2(X0)
| ~ r1(sK17(sK43),X0) )
| ~ spl55_323 ),
inference(resolution,[],[f2700,f80]) ).
fof(f3790,plain,
( ! [X0] :
( p2(sK18(sK43))
| ~ r1(sK17(sK43),sK18(sK43))
| p2(X0)
| ~ p2(sK26(sK18(sK43)))
| ~ r1(sK26(sK18(sK43)),X0) )
| ~ spl55_35
| ~ spl55_323 ),
inference(resolution,[],[f3600,f2885]) ).
fof(f3804,plain,
( ! [X0] :
( p2(sK18(sK43))
| ~ r1(sK17(sK43),sK18(sK43))
| p2(X0)
| ~ r1(sK26(sK18(sK43)),X0) )
| ~ spl55_35
| ~ spl55_323 ),
inference(forward_subsumption_resolution,[],[f3790,f3601]) ).
fof(f3807,plain,
( ! [X0] :
( ~ r1(sK17(sK43),sK18(sK43))
| p2(X0)
| ~ r1(sK26(sK18(sK43)),X0) )
| ~ spl55_35
| spl55_67
| ~ spl55_323 ),
inference(forward_subsumption_resolution,[],[f3804,f525]) ).
fof(f3808,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK26(sK18(sK43)),X0) )
| ~ spl55_35
| spl55_67
| ~ spl55_297
| ~ spl55_323 ),
inference(forward_subsumption_resolution,[],[f3807,f2345]) ).
fof(f3809,plain,
( spl55_215
| ~ spl55_35
| spl55_67
| ~ spl55_297
| ~ spl55_323 ),
inference(avatar_split_clause,[],[f3808,f2698,f2344,f524,f310,f1680]) ).
fof(f3832,plain,
( ~ r1(sK17(sK43),sK18(sK43))
| spl55_67
| ~ spl55_215
| ~ spl55_323 ),
inference(resolution,[],[f2469,f2700]) ).
fof(f3833,plain,
( $false
| spl55_67
| ~ spl55_215
| ~ spl55_297
| ~ spl55_323 ),
inference(forward_subsumption_resolution,[],[f3832,f2345]) ).
fof(f3834,plain,
( spl55_67
| ~ spl55_215
| ~ spl55_297
| ~ spl55_323 ),
inference(avatar_contradiction_clause,[],[f3833]) ).
cnf(s26,plain,
( spl55_31
| spl55_32 ),
inference(sat_conversion,[],[f301]) ).
cnf(s27,plain,
( spl55_32
| spl55_33 ),
inference(sat_conversion,[],[f305]) ).
cnf(s28,plain,
( spl55_32
| spl55_34
| spl55_35 ),
inference(sat_conversion,[],[f313]) ).
cnf(s29,plain,
( spl55_32
| spl55_35
| ~ spl55_36 ),
inference(sat_conversion,[],[f318]) ).
cnf(s30,plain,
( spl55_32
| spl55_37 ),
inference(sat_conversion,[],[f323]) ).
cnf(s31,plain,
( spl55_38
| spl55_39 ),
inference(sat_conversion,[],[f331]) ).
cnf(s32,plain,
( spl55_38
| spl55_40 ),
inference(sat_conversion,[],[f335]) ).
cnf(s33,plain,
( spl55_41
| spl55_42 ),
inference(sat_conversion,[],[f342]) ).
cnf(s34,plain,
( spl55_42
| spl55_43 ),
inference(sat_conversion,[],[f346]) ).
cnf(s35,plain,
( spl55_42
| spl55_44 ),
inference(sat_conversion,[],[f350]) ).
cnf(s36,plain,
( spl55_42
| spl55_45 ),
inference(sat_conversion,[],[f354]) ).
cnf(s37,plain,
( spl55_42
| ~ spl55_46 ),
inference(sat_conversion,[],[f359]) ).
cnf(s38,plain,
( spl55_42
| spl55_47 ),
inference(sat_conversion,[],[f364]) ).
cnf(s45,plain,
( ~ spl55_34
| spl55_36
| ~ spl55_37
| ~ spl55_38 ),
inference(sat_conversion,[],[f437]) ).
cnf(s52,plain,
( ~ spl55_39
| ~ spl55_40
| ~ spl55_42 ),
inference(sat_conversion,[],[f509]) ).
cnf(s55,plain,
( ~ spl55_33
| ~ spl55_35
| spl55_67
| spl55_71
| spl55_72
| spl55_73 ),
inference(sat_conversion,[],[f552]) ).
cnf(s59,plain,
( ~ spl55_34
| spl55_36
| ~ spl55_37
| ~ spl55_41
| ~ spl55_43
| ~ spl55_44
| ~ spl55_45 ),
inference(sat_conversion,[],[f603]) ).
cnf(s60,plain,
( ~ spl55_32
| spl55_80
| spl55_81 ),
inference(sat_conversion,[],[f615]) ).
cnf(s61,plain,
( ~ spl55_32
| spl55_80
| spl55_82 ),
inference(sat_conversion,[],[f619]) ).
cnf(s76,plain,
( ~ spl55_43
| ~ spl55_44
| ~ spl55_81
| spl55_91
| ~ spl55_92 ),
inference(sat_conversion,[],[f773]) ).
cnf(s80,plain,
( ~ spl55_32
| spl55_80
| ~ spl55_91 ),
inference(sat_conversion,[],[f796]) ).
cnf(s117,plain,
( spl55_49
| ~ spl55_80 ),
inference(sat_conversion,[],[f1252]) ).
cnf(s118,plain,
( spl55_46
| ~ spl55_47
| ~ spl55_49 ),
inference(sat_conversion,[],[f1271]) ).
cnf(s120,plain,
( ~ spl55_38
| ~ spl55_49 ),
inference(sat_conversion,[],[f1279]) ).
cnf(s138,plain,
( ~ spl55_35
| ~ spl55_67 ),
inference(sat_conversion,[],[f1413]) ).
cnf(s163,plain,
( ~ spl55_31
| ~ spl55_35
| spl55_67
| spl55_215
| spl55_216 ),
inference(sat_conversion,[],[f1685]) ).
cnf(s187,plain,
( spl55_67
| spl55_72
| ~ spl55_73 ),
inference(sat_conversion,[],[f1978]) ).
cnf(s189,plain,
( spl55_67
| spl55_72
| spl55_252 ),
inference(sat_conversion,[],[f2001]) ).
cnf(s221,plain,
( ~ spl55_35
| spl55_67
| spl55_73
| ~ spl55_252
| ~ spl55_259
| ~ spl55_297 ),
inference(sat_conversion,[],[f2347]) ).
cnf(s222,plain,
( ~ spl55_35
| spl55_297 ),
inference(sat_conversion,[],[f2355]) ).
cnf(s236,plain,
( ~ spl55_31
| spl55_67
| ~ spl55_215
| spl55_216 ),
inference(sat_conversion,[],[f2474]) ).
cnf(s238,plain,
( ~ spl55_35
| ~ spl55_216
| spl55_259
| spl55_260 ),
inference(sat_conversion,[],[f2477]) ).
cnf(s259,plain,
( ~ spl55_33
| spl55_71
| ~ spl55_72 ),
inference(sat_conversion,[],[f2704]) ).
cnf(s270,plain,
( ~ spl55_71
| ~ spl55_297
| ~ spl55_322
| spl55_323
| ~ spl55_338 ),
inference(sat_conversion,[],[f2805]) ).
cnf(s274,plain,
( ~ spl55_38
| ~ spl55_81
| ~ spl55_82
| spl55_91 ),
inference(sat_conversion,[],[f2823]) ).
cnf(s275,plain,
( ~ spl55_41
| ~ spl55_45
| ~ spl55_81
| ~ spl55_82
| spl55_91
| spl55_92 ),
inference(sat_conversion,[],[f2824]) ).
cnf(s288,plain,
( ~ spl55_35
| spl55_322 ),
inference(sat_conversion,[],[f2890]) ).
cnf(s319,plain,
( ~ spl55_31
| ~ spl55_72
| spl55_260
| ~ spl55_297
| ~ spl55_322
| spl55_323 ),
inference(sat_conversion,[],[f3327]) ).
cnf(s347,plain,
( ~ spl55_35
| ~ spl55_260
| ~ spl55_322
| spl55_338 ),
inference(sat_conversion,[],[f3584]) ).
cnf(s373,plain,
( ~ spl55_35
| spl55_67
| spl55_215
| ~ spl55_297
| ~ spl55_323 ),
inference(sat_conversion,[],[f3809]) ).
cnf(s374,plain,
( spl55_67
| ~ spl55_215
| ~ spl55_297
| ~ spl55_323 ),
inference(sat_conversion,[],[f3834]) ).
cnf(s400,plain,
( spl55_42
| ~ spl55_32 ),
inference(rat,[],[s76,s275,s80,s60,s61,s117,s118,s33,s34,s35,s36,s37,s38]) ).
cnf(s401,plain,
( spl55_38
| ~ spl55_42 ),
inference(rat,[],[s52,s31,s32]) ).
cnf(s402,plain,
~ spl55_32,
inference(rat,[],[s274,s80,s60,s61,s117,s120,s401,s400]) ).
cnf(s403,plain,
spl55_37,
inference(rat,[],[s30,s402]) ).
cnf(s404,plain,
spl55_33,
inference(rat,[],[s27,s402]) ).
cnf(s405,plain,
spl55_31,
inference(rat,[],[s26,s402]) ).
cnf(s409,plain,
( spl55_71
| ~ spl55_35 ),
inference(rat,[],[s55,s187,s259,s138,s404]) ).
cnf(s410,plain,
( spl55_215
| spl55_259
| ~ spl55_35 ),
inference(rat,[],[s347,s238,s270,s163,s373,s288,s222,s138,s409,s405]) ).
cnf(s411,plain,
( spl55_259
| ~ spl55_35 ),
inference(rat,[],[s347,s238,s270,s236,s374,s410,s288,s222,s138,s409,s405]) ).
cnf(s412,plain,
( spl55_72
| ~ spl55_35 ),
inference(rat,[],[s221,s187,s189,s222,s138,s411]) ).
cnf(s413,plain,
( spl55_323
| ~ spl55_35 ),
inference(rat,[],[s347,s319,s270,s288,s222,s409,s412,s405]) ).
cnf(s414,plain,
( ~ spl55_323
| spl55_67
| ~ spl55_35
| ~ spl55_297 ),
inference(rat,[],[s374,s373]) ).
cnf(s415,plain,
~ spl55_35,
inference(rat,[],[s414,s413,s138,s222]) ).
cnf(s416,plain,
spl55_34,
inference(rat,[],[s28,s402,s415]) ).
cnf(s417,plain,
~ spl55_36,
inference(rat,[],[s29,s402,s415]) ).
cnf(s418,plain,
spl55_42,
inference(rat,[],[s59,s33,s34,s35,s36,s416,s417,s403]) ).
cnf(s419,plain,
~ spl55_38,
inference(rat,[],[s45,s417,s403,s416]) ).
cnf(s422,plain,
$false,
inference(rat,[],[s401,s418,s419]) ).
fof(f3835,plain,
$false,
inference(avatar_sat_refutation,[],[s422]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL660+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n013.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 16:21:37 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.43 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
% 4.10/1.59 % (389344)Detected formulas, will run a generic FOF schedule.
% 4.10/1.59 % (389355)dis-21_1_sil=8000:lcm=predicate:random_seed=2824284487: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)
% 4.10/1.59 % (389355)Instruction limit reached!
% 4.10/1.59 % (389355)------------------------------
% 4.10/1.59 % (389355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.59 % (389355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.59 % (389355)CaDiCaL version: 2.1.3
% 4.10/1.59 % (389355)Termination reason: Instruction limit
% 4.10/1.59 % (389355)Termination phase: Saturation
% 4.10/1.59 % (389355)Time elapsed: 0.030 s
% 4.10/1.59 % (389355)Peak memory usage: 88 MB
% 4.10/1.59 % (389355)Instructions burned: 145 (million)
% 4.10/1.59 % (389353)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1824618809:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.10/1.59 % (389351)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=768002317:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.10/1.59 % (389352)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3952063131:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.10/1.59 % (389350)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=2708782297:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.10/1.59 % (389349)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=1826186456:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.10/1.59 % (389354)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=975655542:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.10/1.59 % (389354)Instruction limit reached!
% 4.10/1.59 % (389354)------------------------------
% 4.10/1.59 % (389354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.59 % (389354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.59 % (389354)CaDiCaL version: 2.1.3
% 4.10/1.59 % (389354)Termination reason: Instruction limit
% 4.10/1.59 % (389354)Termination phase: Saturation
% 4.10/1.59 % (389354)Time elapsed: 0.043 s
% 4.10/1.59 % (389354)Peak memory usage: 89 MB
% 4.10/1.59 % (389354)Instructions burned: 140 (million)
% 4.10/1.59 % (389352)Instruction limit reached!
% 4.10/1.59 % (389352)------------------------------
% 4.10/1.59 % (389352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.59 % (389352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.59 % (389352)CaDiCaL version: 2.1.3
% 4.10/1.59 % (389352)Termination reason: Instruction limit
% 4.10/1.59 % (389352)Termination phase: Saturation
% 4.10/1.59 % (389352)Time elapsed: 0.059 s
% 4.10/1.59 % (389352)Peak memory usage: 90 MB
% 4.10/1.59 % (389352)Instructions burned: 111 (million)
% 4.10/1.59 % (389353)Instruction limit reached!
% 4.10/1.59 % (389353)------------------------------
% 4.10/1.59 % (389353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.59 % (389353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.59 % (389353)CaDiCaL version: 2.1.3
% 4.10/1.59 % (389353)Termination reason: Instruction limit
% 4.10/1.59 % (389353)Termination phase: Saturation
% 4.10/1.59 % (389353)Time elapsed: 0.062 s
% 4.10/1.59 % (389353)Peak memory usage: 88 MB
% 4.10/1.59 % (389353)Instructions burned: 119 (million)
% 4.10/1.59 % (389362)lrs+10_1_sil=8000:sp=occurrence:random_seed=3045167483:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.10/1.59 % (389364)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2254205625:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.10/1.59 % (389364)Refutation not found, incomplete strategy
% 4.10/1.59 % (389364)------------------------------
% 4.10/1.59 % (389364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.59 % (389364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.59 % (389364)CaDiCaL version: 2.1.3
% 4.10/1.59 % (389364)Termination reason: Refutation not found, incomplete strategy
% 4.10/1.59 % (389364)Time elapsed: 0.006 s
% 4.10/1.59 % (389364)Peak memory usage: 89 MB
% 4.10/1.59 % (389364)Instructions burned: 19 (million)
% 4.10/1.59 % (389365)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1200149700:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 4.10/1.59 % (389366)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=49341787:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.10/1.59 % (389366)Refutation not found, incomplete strategy
% 4.10/1.59 % (389366)------------------------------
% 4.10/1.59 % (389366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.59 % (389366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.59 % (389366)CaDiCaL version: 2.1.3
% 4.10/1.59 % (389366)Termination reason: Refutation not found, incomplete strategy
% 4.10/1.59 % (389366)Time elapsed: 0.012 s
% 4.10/1.59 % (389366)Peak memory usage: 89 MB
% 4.10/1.59 % (389366)Instructions burned: 19 (million)
% 4.10/1.59 % (389362)Instruction limit reached!
% 4.10/1.59 % (389362)------------------------------
% 4.10/1.59 % (389362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.59 % (389362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.59 % (389362)CaDiCaL version: 2.1.3
% 4.10/1.59 % (389362)Termination reason: Instruction limit
% 4.10/1.59 % (389362)Termination phase: Saturation
% 4.10/1.59 % (389362)Time elapsed: 0.150 s
% 4.10/1.59 % (389362)Peak memory usage: 92 MB
% 4.10/1.59 % (389362)Instructions burned: 286 (million)
% 4.10/1.59 % (389364)------------------------------
% 4.10/1.59 % (389364)------------------------------
% 4.10/1.59 % (389365)First to succeed.
% 4.10/1.59 % (389365)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-389344"
% 4.10/1.59 % (389372)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=717660279:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.10/1.59 % (389371)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4022411274:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.10/1.59 % (389366)------------------------------
% 4.10/1.59 % (389366)------------------------------
% 4.10/1.59 % (389371)Refutation not found, incomplete strategy
% 4.10/1.59 % (389371)------------------------------
% 4.10/1.59 % (389371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.59 % (389371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.59 % (389371)CaDiCaL version: 2.1.3
% 4.10/1.59 % (389371)Termination reason: Refutation not found, incomplete strategy
% 4.10/1.59 % (389371)Time elapsed: 0.068 s
% 4.10/1.59 % (389371)Peak memory usage: 90 MB
% 4.10/1.59 % (389371)Instructions burned: 121 (million)
% 4.10/1.59 % (389365)Refutation found. Thanks to Tanya!
% 4.10/1.59 % SZS status Theorem for theBenchmark
% 4.10/1.59 % SZS output start Proof for theBenchmark
% See solution above
% 5.67/1.78 % (389365)------------------------------
% 5.67/1.78 % (389365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.67/1.78 % (389365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.78 % (389365)CaDiCaL version: 2.1.3
% 5.67/1.78 % (389365)Termination reason: Refutation
% 5.67/1.78 % (389365)Time elapsed: 0.124 s
% 5.67/1.78 % (389365)Peak memory usage: 91 MB
% 5.67/1.78 % (389365)Instructions burned: 200 (million)
% 5.67/1.78 % (389365)------------------------------
% 5.67/1.78 % (389365)------------------------------
% 5.67/1.78 % (389344)Success in time 0.723 s
% 5.67/1.78 % Vampire exiting
%------------------------------------------------------------------------------