%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL652+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 11:59:25 AM UTC 2026
% Result : Theorem 0.15s 0.55s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 20
% Syntax : Number of formulae : 219 ( 18 unt; 19 def)
% Number of atoms : 1312 ( 0 equ)
% Maximal formula atoms : 74 ( 5 avg)
% Number of connectives : 2227 (1134 ~; 966 |; 108 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 20 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-1 aty)
% Number of variables : 567 ( 0 sgn 513 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) )
& p2(X0)
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) ) ) )
| ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p2(X0) ) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) ) ) ) )
| ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p2(X0) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) )
& p2(X0)
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) ) ) )
| ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p2(X0) ) ) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0) )
| ~ p2(X1) ) ) ) ) )
| ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p2(X0) )
& ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1) ) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
& ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ~ p1(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ~ ! [X5] :
( ~ r1(X4,X5)
| ~ p1(X5) ) ) )
& ! [X6] :
( ~ r1(X2,X6)
| ~ ! [X7] :
( ~ r1(X6,X7)
| ~ p1(X7) ) ) ) )
| ~ ! [X8] :
( ~ r1(X0,X8)
| ~ ( ~ ! [X9] :
( ~ r1(X8,X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p3(X11) )
| ~ p2(X10) ) )
| ~ ! [X12] :
( ~ r1(X8,X12)
| ~ ( ~ ! [X13] :
( ~ r1(X12,X13)
| ~ ( ! [X14] :
( ~ r1(X13,X14)
| p3(X14) )
| ~ p2(X13) ) )
& p2(X12)
& ~ ! [X15] :
( ~ r1(X12,X15)
| ~ ! [X16] :
( ~ r1(X15,X16)
| ~ ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) ) ) ) ) )
| ( ~ ! [X18] :
( ~ r1(X8,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p3(X21) )
| ~ p2(X20) ) ) )
& ! [X22] :
( ~ r1(X8,X22)
| ~ ! [X23] :
( ~ r1(X22,X23)
| ~ p2(X23) ) ) )
| ~ ! [X24] :
( ~ r1(X8,X24)
| ~ ( ! [X25] :
( ~ r1(X24,X25)
| ~ ! [X26] :
( ~ r1(X25,X26)
| ~ p2(X26) ) )
& ! [X27] :
( ~ r1(X24,X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| ~ ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| p3(X30) )
| ~ p2(X29) ) ) ) ) )
| ( ! [X31] :
( ~ r1(X8,X31)
| ! [X32] :
( ~ r1(X31,X32)
| p3(X32) )
| ~ p2(X31) )
& ! [X33] :
( ~ r1(X8,X33)
| ~ ! [X34] :
( ~ r1(X33,X34)
| ~ p2(X34) ) ) ) ) )
| ~ ! [X35] :
( ~ r1(X0,X35)
| ~ ( ~ ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p1(X37) ) )
& ! [X38] :
( ~ r1(X35,X38)
| p1(X38) ) ) )
| ! [X39] :
( ~ r1(X0,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ~ ! [X41] :
( ~ r1(X40,X41)
| p1(X41) ) )
| ! [X42] :
( ~ r1(X39,X42)
| p1(X42) ) )
| ! [X43] :
( ~ r1(X0,X43)
| ~ ! [X44] :
( ~ r1(X43,X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| p2(X45) ) ) )
| ~ ! [X46] :
( ~ r1(X0,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ r1(X47,X48)
| ~ p1(X48) ) )
| ~ ! [X49] :
( ~ r1(X46,X49)
| ~ p1(X49) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ~ ! [X5] :
( ~ r1(X4,X5)
| ~ p1(X5) ) ) )
& ! [X6] :
( ~ r1(X2,X6)
| ~ ! [X7] :
( ~ r1(X6,X7)
| ~ p1(X7) ) ) ) )
| ~ ! [X8] :
( ~ r1(X0,X8)
| ~ ( ~ ! [X9] :
( ~ r1(X8,X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p3(X11) )
| ~ p2(X10) ) )
| ~ ! [X12] :
( ~ r1(X8,X12)
| ~ ( ~ ! [X13] :
( ~ r1(X12,X13)
| ~ ( ! [X14] :
( ~ r1(X13,X14)
| p3(X14) )
| ~ p2(X13) ) )
& p2(X12)
& ~ ! [X15] :
( ~ r1(X12,X15)
| ~ ! [X16] :
( ~ r1(X15,X16)
| ~ ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) ) ) ) ) )
| ( ~ ! [X18] :
( ~ r1(X8,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p3(X21) )
| ~ p2(X20) ) ) )
& ! [X22] :
( ~ r1(X8,X22)
| ~ ! [X23] :
( ~ r1(X22,X23)
| ~ p2(X23) ) ) )
| ~ ! [X24] :
( ~ r1(X8,X24)
| ~ ( ! [X25] :
( ~ r1(X24,X25)
| ~ ! [X26] :
( ~ r1(X25,X26)
| ~ p2(X26) ) )
& ! [X27] :
( ~ r1(X24,X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| ~ ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| p3(X30) )
| ~ p2(X29) ) ) ) ) )
| ( ! [X31] :
( ~ r1(X8,X31)
| ! [X32] :
( ~ r1(X31,X32)
| p3(X32) )
| ~ p2(X31) )
& ! [X33] :
( ~ r1(X8,X33)
| ~ ! [X34] :
( ~ r1(X33,X34)
| ~ p2(X34) ) ) ) ) )
| ~ ! [X35] :
( ~ r1(X0,X35)
| ~ ( ~ ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p1(X37) ) )
& ! [X38] :
( ~ r1(X35,X38)
| p1(X38) ) ) )
| ! [X39] :
( ~ r1(X0,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ~ ! [X41] :
( ~ r1(X40,X41)
| p1(X41) ) )
| ! [X42] :
( ~ r1(X39,X42)
| p1(X42) ) )
| ! [X43] :
( ~ r1(X0,X43)
| ~ ! [X44] :
( ~ r1(X43,X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| p2(X45) ) ) )
| ~ ! [X46] :
( ~ r1(X0,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ r1(X47,X48)
| ~ p1(X48) ) )
| ~ ! [X49] :
( ~ r1(X46,X49)
| ~ p1(X49) ) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p4(X1) )
| ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ~ ! [X5] :
( ~ r1(X4,X5)
| ~ p1(X5) ) ) )
& ! [X6] :
( ~ r1(X2,X6)
| ~ ! [X7] :
( ~ r1(X6,X7)
| ~ p1(X7) ) ) ) )
| ~ ! [X8] :
( ~ r1(X0,X8)
| ~ ( ~ ! [X9] :
( ~ r1(X8,X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| ! [X11] : ~ r1(X10,X11)
| ~ p2(X10) ) )
| ~ ! [X12] :
( ~ r1(X8,X12)
| ~ ( ~ ! [X13] :
( ~ r1(X12,X13)
| ~ ( ! [X14] : ~ r1(X13,X14)
| ~ p2(X13) ) )
& p2(X12)
& ~ ! [X15] :
( ~ r1(X12,X15)
| ~ ! [X16] :
( ~ r1(X15,X16)
| ~ ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) ) ) ) ) )
| ( ~ ! [X18] :
( ~ r1(X8,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| ! [X21] : ~ r1(X20,X21)
| ~ p2(X20) ) ) )
& ! [X22] :
( ~ r1(X8,X22)
| ~ ! [X23] :
( ~ r1(X22,X23)
| ~ p2(X23) ) ) )
| ~ ! [X24] :
( ~ r1(X8,X24)
| ~ ( ! [X25] :
( ~ r1(X24,X25)
| ~ ! [X26] :
( ~ r1(X25,X26)
| ~ p2(X26) ) )
& ! [X27] :
( ~ r1(X24,X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| ~ ! [X29] :
( ~ r1(X28,X29)
| ! [X30] : ~ r1(X29,X30)
| ~ p2(X29) ) ) ) ) )
| ( ! [X31] :
( ~ r1(X8,X31)
| ! [X32] : ~ r1(X31,X32)
| ~ p2(X31) )
& ! [X33] :
( ~ r1(X8,X33)
| ~ ! [X34] :
( ~ r1(X33,X34)
| ~ p2(X34) ) ) ) ) )
| ~ ! [X35] :
( ~ r1(X0,X35)
| ~ ( ~ ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p1(X37) ) )
& ! [X38] :
( ~ r1(X35,X38)
| p1(X38) ) ) )
| ! [X39] :
( ~ r1(X0,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ~ ! [X41] :
( ~ r1(X40,X41)
| p1(X41) ) )
| ! [X42] :
( ~ r1(X39,X42)
| p1(X42) ) )
| ! [X43] :
( ~ r1(X0,X43)
| ~ ! [X44] :
( ~ r1(X43,X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| p2(X45) ) ) )
| ~ ! [X46] :
( ~ r1(X0,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ r1(X47,X48)
| ~ p1(X48) ) )
| ~ ! [X49] :
( ~ r1(X46,X49)
| ~ p1(X49) ) ) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X2] :
( ~ r1(X0,X2)
| ~ ( ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ~ ! [X5] :
( ~ r1(X4,X5)
| ~ p1(X5) ) ) )
& ! [X6] :
( ~ r1(X2,X6)
| ~ ! [X7] :
( ~ r1(X6,X7)
| ~ p1(X7) ) ) ) )
| ~ ! [X8] :
( ~ r1(X0,X8)
| ~ ( ~ ! [X9] :
( ~ r1(X8,X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| ! [X11] : ~ r1(X10,X11)
| ~ p2(X10) ) )
| ~ ! [X12] :
( ~ r1(X8,X12)
| ~ ( ~ ! [X13] :
( ~ r1(X12,X13)
| ~ ( ! [X14] : ~ r1(X13,X14)
| ~ p2(X13) ) )
& p2(X12)
& ~ ! [X15] :
( ~ r1(X12,X15)
| ~ ! [X16] :
( ~ r1(X15,X16)
| ~ ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) ) ) ) ) )
| ( ~ ! [X18] :
( ~ r1(X8,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| ! [X21] : ~ r1(X20,X21)
| ~ p2(X20) ) ) )
& ! [X22] :
( ~ r1(X8,X22)
| ~ ! [X23] :
( ~ r1(X22,X23)
| ~ p2(X23) ) ) )
| ~ ! [X24] :
( ~ r1(X8,X24)
| ~ ( ! [X25] :
( ~ r1(X24,X25)
| ~ ! [X26] :
( ~ r1(X25,X26)
| ~ p2(X26) ) )
& ! [X27] :
( ~ r1(X24,X27)
| ~ ! [X28] :
( ~ r1(X27,X28)
| ~ ! [X29] :
( ~ r1(X28,X29)
| ! [X30] : ~ r1(X29,X30)
| ~ p2(X29) ) ) ) ) )
| ( ! [X31] :
( ~ r1(X8,X31)
| ! [X32] : ~ r1(X31,X32)
| ~ p2(X31) )
& ! [X33] :
( ~ r1(X8,X33)
| ~ ! [X34] :
( ~ r1(X33,X34)
| ~ p2(X34) ) ) ) ) )
| ~ ! [X35] :
( ~ r1(X0,X35)
| ~ ( ~ ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p1(X37) ) )
& ! [X38] :
( ~ r1(X35,X38)
| p1(X38) ) ) )
| ! [X39] :
( ~ r1(X0,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ~ ! [X41] :
( ~ r1(X40,X41)
| p1(X41) ) )
| ! [X42] :
( ~ r1(X39,X42)
| p1(X42) ) )
| ! [X43] :
( ~ r1(X0,X43)
| ~ ! [X44] :
( ~ r1(X43,X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| p2(X45) ) ) )
| ~ ! [X46] :
( ~ r1(X0,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ r1(X47,X48)
| ~ p1(X48) ) )
| ~ ! [X49] :
( ~ r1(X46,X49)
| ~ p1(X49) ) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ! [X2] :
( ~ r1(X0,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ? [X5] :
( r1(X4,X5)
& p1(X5) ) ) )
| ? [X6] :
( r1(X2,X6)
& ! [X7] :
( ~ r1(X6,X7)
| ~ p1(X7) ) ) )
& ! [X8] :
( ~ r1(X0,X8)
| ( ! [X9] :
( ~ r1(X8,X9)
| ? [X10] :
( r1(X9,X10)
& ? [X11] : r1(X10,X11)
& p2(X10) ) )
& ! [X12] :
( ~ r1(X8,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ( ? [X14] : r1(X13,X14)
& p2(X13) ) )
| ~ p2(X12)
| ! [X15] :
( ~ r1(X12,X15)
| ? [X16] :
( r1(X15,X16)
& ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) ) ) ) )
& ( ! [X18] :
( ~ r1(X8,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ? [X20] :
( r1(X19,X20)
& ? [X21] : r1(X20,X21)
& p2(X20) ) ) )
| ? [X22] :
( r1(X8,X22)
& ! [X23] :
( ~ r1(X22,X23)
| ~ p2(X23) ) ) )
& ! [X24] :
( ~ r1(X8,X24)
| ? [X25] :
( r1(X24,X25)
& ! [X26] :
( ~ r1(X25,X26)
| ~ p2(X26) ) )
| ? [X27] :
( r1(X24,X27)
& ! [X28] :
( ~ r1(X27,X28)
| ? [X29] :
( r1(X28,X29)
& ? [X30] : r1(X29,X30)
& p2(X29) ) ) ) )
& ( ? [X31] :
( r1(X8,X31)
& ? [X32] : r1(X31,X32)
& p2(X31) )
| ? [X33] :
( r1(X8,X33)
& ! [X34] :
( ~ r1(X33,X34)
| ~ p2(X34) ) ) ) ) )
& ! [X35] :
( ~ r1(X0,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p1(X37) ) )
| ? [X38] :
( r1(X35,X38)
& ~ p1(X38) ) )
& ? [X39] :
( r1(X0,X39)
& ? [X40] :
( r1(X39,X40)
& ! [X41] :
( ~ r1(X40,X41)
| p1(X41) ) )
& ? [X42] :
( r1(X39,X42)
& ~ p1(X42) ) )
& ? [X43] :
( r1(X0,X43)
& ! [X44] :
( ~ r1(X43,X44)
| ? [X45] :
( r1(X44,X45)
& ~ p2(X45) ) ) )
& ! [X46] :
( ~ r1(X0,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ r1(X47,X48)
| ~ p1(X48) ) )
| ? [X49] :
( r1(X46,X49)
& p1(X49) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
? [X0] :
( ! [X2] :
( ~ r1(X0,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| ? [X5] :
( r1(X4,X5)
& p1(X5) ) ) )
| ? [X6] :
( r1(X2,X6)
& ! [X7] :
( ~ r1(X6,X7)
| ~ p1(X7) ) ) )
& ! [X8] :
( ~ r1(X0,X8)
| ( ! [X9] :
( ~ r1(X8,X9)
| ? [X10] :
( r1(X9,X10)
& ? [X11] : r1(X10,X11)
& p2(X10) ) )
& ! [X12] :
( ~ r1(X8,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ( ? [X14] : r1(X13,X14)
& p2(X13) ) )
| ~ p2(X12)
| ! [X15] :
( ~ r1(X12,X15)
| ? [X16] :
( r1(X15,X16)
& ! [X17] :
( ~ r1(X16,X17)
| ~ p2(X17) ) ) ) )
& ( ! [X18] :
( ~ r1(X8,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ? [X20] :
( r1(X19,X20)
& ? [X21] : r1(X20,X21)
& p2(X20) ) ) )
| ? [X22] :
( r1(X8,X22)
& ! [X23] :
( ~ r1(X22,X23)
| ~ p2(X23) ) ) )
& ! [X24] :
( ~ r1(X8,X24)
| ? [X25] :
( r1(X24,X25)
& ! [X26] :
( ~ r1(X25,X26)
| ~ p2(X26) ) )
| ? [X27] :
( r1(X24,X27)
& ! [X28] :
( ~ r1(X27,X28)
| ? [X29] :
( r1(X28,X29)
& ? [X30] : r1(X29,X30)
& p2(X29) ) ) ) )
& ( ? [X31] :
( r1(X8,X31)
& ? [X32] : r1(X31,X32)
& p2(X31) )
| ? [X33] :
( r1(X8,X33)
& ! [X34] :
( ~ r1(X33,X34)
| ~ p2(X34) ) ) ) ) )
& ! [X35] :
( ~ r1(X0,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p1(X37) ) )
| ? [X38] :
( r1(X35,X38)
& ~ p1(X38) ) )
& ? [X39] :
( r1(X0,X39)
& ? [X40] :
( r1(X39,X40)
& ! [X41] :
( ~ r1(X40,X41)
| p1(X41) ) )
& ? [X42] :
( r1(X39,X42)
& ~ p1(X42) ) )
& ? [X43] :
( r1(X0,X43)
& ! [X44] :
( ~ r1(X43,X44)
| ? [X45] :
( r1(X44,X45)
& ~ p2(X45) ) ) )
& ! [X46] :
( ~ r1(X0,X46)
| ! [X47] :
( ~ r1(X46,X47)
| ! [X48] :
( ~ r1(X47,X48)
| ~ p1(X48) ) )
| ? [X49] :
( r1(X46,X49)
& p1(X49) ) ) ),
inference(flattening,[],[f7]) ).
fof(f9,plain,
! [X8,X17,X15,X12,X13] :
( ~ p2(X17)
| ~ r1(sK17(X15),X17)
| ~ r1(X12,X15)
| ~ p2(X12)
| p2(X13)
| ~ r1(X12,X13)
| ~ r1(X8,X12)
| ~ r1(sK0,X8) ),
inference(cnf_transformation,[],[f8]) ).
fof(f11,plain,
! [X28,X8,X24] :
( p2(sK21(X28))
| ~ r1(sK12(X24),X28)
| r1(X24,sK13(X24))
| ~ r1(X8,X24)
| ~ r1(sK0,X8) ),
inference(cnf_transformation,[],[f8]) ).
fof(f13,plain,
! [X28,X8,X24] :
( ~ r1(sK12(X24),X28)
| r1(X28,sK21(X28))
| r1(X24,sK13(X24))
| ~ r1(X8,X24)
| ~ r1(sK0,X8) ),
inference(cnf_transformation,[],[f8]) ).
fof(f14,plain,
! [X28,X8,X26,X24] :
( p2(sK21(X28))
| ~ r1(sK12(X24),X28)
| ~ p2(X26)
| ~ r1(sK13(X24),X26)
| ~ r1(X8,X24)
| ~ r1(sK0,X8) ),
inference(cnf_transformation,[],[f8]) ).
fof(f16,plain,
! [X28,X8,X26,X24] :
( r1(X28,sK21(X28))
| ~ r1(sK12(X24),X28)
| ~ p2(X26)
| ~ r1(sK13(X24),X26)
| ~ r1(X8,X24)
| ~ r1(sK0,X8) ),
inference(cnf_transformation,[],[f8]) ).
fof(f17,plain,
! [X18,X8,X19,X23] :
( ~ p2(X23)
| ~ r1(sK11(X8),X23)
| p2(sK19(X19))
| ~ r1(X18,X19)
| ~ r1(X8,X18)
| ~ r1(sK0,X8) ),
inference(cnf_transformation,[],[f8]) ).
fof(f19,plain,
! [X18,X8,X19,X23] :
( ~ p2(X23)
| ~ r1(sK11(X8),X23)
| r1(X19,sK19(X19))
| ~ r1(X18,X19)
| ~ r1(X8,X18)
| ~ r1(sK0,X8) ),
inference(cnf_transformation,[],[f8]) ).
fof(f20,plain,
! [X18,X8,X19] :
( r1(X8,sK11(X8))
| p2(sK19(X19))
| ~ r1(X18,X19)
| ~ r1(X8,X18)
| ~ r1(sK0,X8) ),
inference(cnf_transformation,[],[f8]) ).
fof(f22,plain,
! [X18,X8,X19] :
( ~ r1(sK0,X8)
| r1(X19,sK19(X19))
| ~ r1(X18,X19)
| ~ r1(X8,X18)
| r1(X8,sK11(X8)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f24,plain,
! [X8,X15,X12,X13] :
( r1(X15,sK17(X15))
| ~ r1(X12,X15)
| ~ p2(X12)
| p2(X13)
| ~ r1(X12,X13)
| ~ r1(X8,X12)
| ~ r1(sK0,X8) ),
inference(cnf_transformation,[],[f8]) ).
fof(f25,plain,
! [X8,X26,X24] :
( r1(X24,sK12(X24))
| ~ p2(X26)
| ~ r1(sK13(X24),X26)
| ~ r1(X8,X24)
| ~ r1(sK0,X8) ),
inference(cnf_transformation,[],[f8]) ).
fof(f30,plain,
! [X8,X34] :
( ~ p2(X34)
| ~ r1(sK9(X8),X34)
| r1(X8,sK10(X8))
| ~ r1(sK0,X8) ),
inference(cnf_transformation,[],[f8]) ).
fof(f32,plain,
! [X8,X34] :
( ~ p2(X34)
| ~ r1(sK9(X8),X34)
| p2(sK10(X8))
| ~ r1(sK0,X8) ),
inference(cnf_transformation,[],[f8]) ).
fof(f33,plain,
! [X8,X9] :
( p2(sK14(X9))
| ~ r1(X8,X9)
| ~ r1(sK0,X8) ),
inference(cnf_transformation,[],[f8]) ).
fof(f35,plain,
! [X8,X9] :
( ~ r1(sK0,X8)
| ~ r1(X8,X9)
| r1(X9,sK14(X9)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f36,plain,
! [X8,X24] :
( ~ r1(sK0,X8)
| r1(X24,sK13(X24))
| ~ r1(X8,X24)
| r1(X24,sK12(X24)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f37,plain,
! [X8] :
( r1(X8,sK9(X8))
| p2(sK10(X8))
| ~ r1(sK0,X8) ),
inference(cnf_transformation,[],[f8]) ).
fof(f39,plain,
! [X8] :
( ~ r1(sK0,X8)
| r1(X8,sK10(X8))
| r1(X8,sK9(X8)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f43,plain,
! [X44] :
( ~ p2(sK8(X44))
| ~ r1(sK1,X44) ),
inference(cnf_transformation,[],[f8]) ).
fof(f44,plain,
! [X44] :
( r1(X44,sK8(X44))
| ~ r1(sK1,X44) ),
inference(cnf_transformation,[],[f8]) ).
fof(f51,plain,
r1(sK0,sK1),
inference(cnf_transformation,[],[f8]) ).
fof(f55,plain,
! [X44] :
( ~ r1(sK1,X44)
| p2(sK8(X44)) ),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f59,plain,
! [X8] :
( ~ p2(sK10(X8))
| r1(X8,sK9(X8))
| ~ r1(sK0,X8) ),
inference(consistent_polarity_flipping,[],[f37]) ).
fof(f60,plain,
! [X8,X9] :
( ~ p2(sK14(X9))
| ~ r1(X8,X9)
| ~ r1(sK0,X8) ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f61,plain,
! [X8,X34] :
( ~ p2(sK10(X8))
| ~ r1(sK9(X8),X34)
| p2(X34)
| ~ r1(sK0,X8) ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f63,plain,
! [X8,X34] :
( ~ r1(sK9(X8),X34)
| p2(X34)
| r1(X8,sK10(X8))
| ~ r1(sK0,X8) ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f67,plain,
! [X8,X26,X24] :
( ~ r1(sK13(X24),X26)
| p2(X26)
| r1(X24,sK12(X24))
| ~ r1(X8,X24)
| ~ r1(sK0,X8) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f68,plain,
! [X8,X15,X12,X13] :
( ~ p2(X13)
| ~ r1(X12,X15)
| p2(X12)
| r1(X15,sK17(X15))
| ~ r1(X12,X13)
| ~ r1(X8,X12)
| ~ r1(sK0,X8) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f70,plain,
! [X18,X8,X19] :
( ~ p2(sK19(X19))
| r1(X8,sK11(X8))
| ~ r1(X18,X19)
| ~ r1(X8,X18)
| ~ r1(sK0,X8) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f71,plain,
! [X18,X8,X19,X23] :
( ~ r1(sK11(X8),X23)
| p2(X23)
| r1(X19,sK19(X19))
| ~ r1(X18,X19)
| ~ r1(X8,X18)
| ~ r1(sK0,X8) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f73,plain,
! [X18,X8,X19,X23] :
( ~ p2(sK19(X19))
| ~ r1(sK11(X8),X23)
| p2(X23)
| ~ r1(X18,X19)
| ~ r1(X8,X18)
| ~ r1(sK0,X8) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f74,plain,
! [X28,X8,X26,X24] :
( ~ r1(sK13(X24),X26)
| ~ r1(sK12(X24),X28)
| p2(X26)
| r1(X28,sK21(X28))
| ~ r1(X8,X24)
| ~ r1(sK0,X8) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f76,plain,
! [X28,X8,X26,X24] :
( ~ p2(sK21(X28))
| ~ r1(sK12(X24),X28)
| p2(X26)
| ~ r1(sK13(X24),X26)
| ~ r1(X8,X24)
| ~ r1(sK0,X8) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f77,plain,
! [X28,X8,X24] :
( ~ p2(sK21(X28))
| ~ r1(sK12(X24),X28)
| r1(X24,sK13(X24))
| ~ r1(X8,X24)
| ~ r1(sK0,X8) ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f79,plain,
! [X8,X17,X15,X12,X13] :
( ~ p2(X13)
| ~ r1(sK17(X15),X17)
| ~ r1(X12,X15)
| p2(X12)
| p2(X17)
| ~ r1(X12,X13)
| ~ r1(X8,X12)
| ~ r1(sK0,X8) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f101,plain,
! [X0] :
( ~ r1(sK1,X0)
| r1(X0,sK14(X0)) ),
inference(resolution,[],[f35,f51]) ).
fof(f119,plain,
( r1(sK1,sK10(sK1))
| r1(sK1,sK9(sK1)) ),
inference(resolution,[],[f39,f51]) ).
fof(f131,definition,
( spl24_10
<=> r1(sK1,sK9(sK1)) ),
introduced(definition,[new_symbols(definition,[spl24_10])],[avatar_definition]) ).
fof(f132,plain,
( ~ r1(sK1,sK9(sK1))
| spl24_10 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f133,plain,
( r1(sK1,sK9(sK1))
| ~ spl24_10 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f135,definition,
( spl24_11
<=> r1(sK1,sK10(sK1)) ),
introduced(definition,[new_symbols(definition,[spl24_11])],[avatar_definition]) ).
fof(f137,plain,
( r1(sK1,sK10(sK1))
| ~ spl24_11 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f138,plain,
( spl24_10
| spl24_11 ),
inference(avatar_split_clause,[],[f119,f135,f131]) ).
fof(f150,plain,
! [X0] :
( ~ r1(sK1,X0)
| r1(X0,sK13(X0))
| r1(X0,sK12(X0)) ),
inference(resolution,[],[f36,f51]) ).
fof(f182,plain,
! [X0,X1] :
( r1(X0,sK19(X0))
| ~ r1(X1,X0)
| ~ r1(sK1,X1)
| r1(sK1,sK11(sK1)) ),
inference(resolution,[],[f22,f51]) ).
fof(f185,definition,
( spl24_19
<=> r1(sK1,sK11(sK1)) ),
introduced(definition,[new_symbols(definition,[spl24_19])],[avatar_definition]) ).
fof(f187,plain,
( r1(sK1,sK11(sK1))
| ~ spl24_19 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f189,definition,
( spl24_20
<=> ! [X0,X1] :
( r1(X0,sK19(X0))
| ~ r1(sK1,X1)
| ~ r1(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl24_20])],[avatar_definition]) ).
fof(f190,plain,
( ! [X0,X1] :
( ~ r1(sK1,X1)
| r1(X0,sK19(X0))
| ~ r1(X1,X0) )
| ~ spl24_20 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f191,plain,
( spl24_19
| spl24_20 ),
inference(avatar_split_clause,[],[f182,f189,f185]) ).
fof(f255,plain,
( r1(sK9(sK1),sK14(sK9(sK1)))
| ~ spl24_10 ),
inference(resolution,[],[f101,f133]) ).
fof(f256,plain,
( r1(sK11(sK1),sK14(sK11(sK1)))
| ~ spl24_19 ),
inference(resolution,[],[f101,f187]) ).
fof(f407,plain,
( p2(sK8(sK10(sK1)))
| ~ spl24_11 ),
inference(resolution,[],[f137,f55]) ).
fof(f409,definition,
( spl24_53
<=> r1(sK10(sK1),sK12(sK10(sK1))) ),
introduced(definition,[new_symbols(definition,[spl24_53])],[avatar_definition]) ).
fof(f411,plain,
( r1(sK10(sK1),sK12(sK10(sK1)))
| ~ spl24_53 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f413,definition,
( spl24_54
<=> r1(sK10(sK1),sK13(sK10(sK1))) ),
introduced(definition,[new_symbols(definition,[spl24_54])],[avatar_definition]) ).
fof(f415,plain,
( r1(sK10(sK1),sK13(sK10(sK1)))
| ~ spl24_54 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f554,plain,
( ! [X0] :
( ~ r1(sK10(sK1),X0)
| r1(X0,sK19(X0)) )
| ~ spl24_11
| ~ spl24_20 ),
inference(resolution,[],[f137,f190]) ).
fof(f560,definition,
( spl24_76
<=> ! [X1] :
( ~ r1(sK10(sK1),X1)
| r1(X1,sK17(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl24_76])],[avatar_definition]) ).
fof(f561,plain,
( ! [X1] :
( ~ r1(sK10(sK1),X1)
| r1(X1,sK17(X1)) )
| ~ spl24_76 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f566,definition,
( spl24_78
<=> p2(sK10(sK1)) ),
introduced(definition,[new_symbols(definition,[spl24_78])],[avatar_definition]) ).
fof(f568,plain,
( p2(sK10(sK1))
| ~ spl24_78 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f657,definition,
( spl24_88
<=> p2(sK14(sK9(sK1))) ),
introduced(definition,[new_symbols(definition,[spl24_88])],[avatar_definition]) ).
fof(f658,plain,
( ~ p2(sK14(sK9(sK1)))
| spl24_88 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f659,plain,
( p2(sK14(sK9(sK1)))
| ~ spl24_88 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f675,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X2,sK8(sK10(sK1)))
| ~ r1(X2,X0)
| p2(X2)
| p2(X1)
| ~ r1(sK17(X0),X1)
| ~ r1(X3,X2)
| ~ r1(sK0,X3) )
| ~ spl24_11 ),
inference(resolution,[],[f407,f79]) ).
fof(f676,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,sK8(sK10(sK1)))
| p2(X0)
| r1(X1,sK17(X1))
| ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(sK0,X2) )
| ~ spl24_11 ),
inference(resolution,[],[f407,f68]) ).
fof(f808,plain,
( r1(sK12(sK10(sK1)),sK17(sK12(sK10(sK1))))
| ~ spl24_53
| ~ spl24_76 ),
inference(resolution,[],[f561,f411]) ).
fof(f1023,definition,
( spl24_130
<=> ! [X0] :
( ~ r1(X0,sK10(sK1))
| ~ r1(sK0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl24_130])],[avatar_definition]) ).
fof(f1024,plain,
( ! [X0] :
( ~ r1(X0,sK10(sK1))
| ~ r1(sK0,X0) )
| ~ spl24_130 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f1036,plain,
( r1(sK13(sK10(sK1)),sK19(sK13(sK10(sK1))))
| ~ spl24_11
| ~ spl24_20
| ~ spl24_54 ),
inference(resolution,[],[f415,f554]) ).
fof(f1130,definition,
( spl24_146
<=> ! [X0] :
( ~ r1(sK12(sK10(sK1)),X0)
| r1(X0,sK21(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl24_146])],[avatar_definition]) ).
fof(f1131,plain,
( ! [X0] :
( ~ r1(sK12(sK10(sK1)),X0)
| r1(X0,sK21(X0)) )
| ~ spl24_146 ),
inference(avatar_component_clause,[],[f1130]) ).
fof(f1138,plain,
( ! [X0,X1] :
( ~ r1(sK12(sK10(sK1)),X0)
| p2(sK19(sK13(sK10(sK1))))
| r1(X0,sK21(X0))
| ~ r1(X1,sK10(sK1))
| ~ r1(sK0,X1) )
| ~ spl24_11
| ~ spl24_20
| ~ spl24_54 ),
inference(resolution,[],[f1036,f74]) ).
fof(f1139,plain,
( ! [X0] :
( p2(sK19(sK13(sK10(sK1))))
| r1(sK10(sK1),sK12(sK10(sK1)))
| ~ r1(X0,sK10(sK1))
| ~ r1(sK0,X0) )
| ~ spl24_11
| ~ spl24_20
| ~ spl24_54 ),
inference(resolution,[],[f1036,f67]) ).
fof(f1141,definition,
( spl24_148
<=> p2(sK19(sK13(sK10(sK1)))) ),
introduced(definition,[new_symbols(definition,[spl24_148])],[avatar_definition]) ).
fof(f1142,plain,
( ~ p2(sK19(sK13(sK10(sK1))))
| spl24_148 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1143,plain,
( p2(sK19(sK13(sK10(sK1))))
| ~ spl24_148 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1144,plain,
( spl24_130
| spl24_148
| spl24_146
| ~ spl24_11
| ~ spl24_20
| ~ spl24_54 ),
inference(avatar_split_clause,[],[f1138,f413,f189,f135,f1130,f1141,f1023]) ).
fof(f1169,plain,
( ! [X0,X1] :
( p2(sK10(sK1))
| r1(X0,sK17(X0))
| ~ r1(sK10(sK1),X0)
| ~ r1(X1,sK10(sK1))
| ~ r1(sK0,X1)
| ~ r1(sK1,sK10(sK1)) )
| ~ spl24_11 ),
inference(resolution,[],[f676,f44]) ).
fof(f1170,plain,
( ! [X2,X0,X1] :
( ~ r1(sK10(sK1),X0)
| p2(sK10(sK1))
| p2(X1)
| ~ r1(sK17(X0),X1)
| ~ r1(X2,sK10(sK1))
| ~ r1(sK0,X2)
| ~ r1(sK1,sK10(sK1)) )
| ~ spl24_11 ),
inference(resolution,[],[f675,f44]) ).
fof(f1171,plain,
( ! [X2,X0,X1] :
( ~ r1(sK10(sK1),X0)
| p2(sK10(sK1))
| p2(X1)
| ~ r1(sK17(X0),X1)
| ~ r1(X2,sK10(sK1))
| ~ r1(sK0,X2) )
| ~ spl24_11 ),
inference(forward_subsumption_resolution,[],[f1170,f137]) ).
fof(f1173,definition,
( spl24_152
<=> ! [X0,X1] :
( ~ r1(sK10(sK1),X0)
| ~ r1(sK17(X0),X1)
| p2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl24_152])],[avatar_definition]) ).
fof(f1174,plain,
( ! [X0,X1] :
( ~ r1(sK17(X0),X1)
| ~ r1(sK10(sK1),X0)
| p2(X1) )
| ~ spl24_152 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f1175,plain,
( spl24_130
| spl24_78
| spl24_152
| ~ spl24_11 ),
inference(avatar_split_clause,[],[f1171,f135,f1173,f566,f1023]) ).
fof(f1176,plain,
( ! [X2,X0,X1] :
( ~ r1(X2,sK13(sK10(sK1)))
| p2(X1)
| ~ r1(sK11(X0),X1)
| ~ r1(X0,X2)
| ~ r1(sK0,X0) )
| ~ spl24_148 ),
inference(resolution,[],[f1143,f73]) ).
fof(f1177,plain,
( ! [X0,X1] :
( ~ r1(X1,sK13(sK10(sK1)))
| r1(X0,sK11(X0))
| ~ r1(X0,X1)
| ~ r1(sK0,X0) )
| ~ spl24_148 ),
inference(resolution,[],[f1143,f70]) ).
fof(f1440,plain,
( ! [X0] :
( ~ r1(X0,sK10(sK1))
| r1(X0,sK11(X0))
| ~ r1(sK0,X0) )
| ~ spl24_54
| ~ spl24_148 ),
inference(resolution,[],[f1177,f415]) ).
fof(f1474,plain,
( ! [X0,X1] :
( ~ r1(X1,sK10(sK1))
| ~ r1(sK11(X1),X0)
| p2(X0)
| ~ r1(sK0,X1) )
| ~ spl24_54
| ~ spl24_148 ),
inference(resolution,[],[f1176,f415]) ).
fof(f1534,plain,
( ! [X0,X1] :
( p2(sK10(sK1))
| r1(X0,sK17(X0))
| ~ r1(sK10(sK1),X0)
| ~ r1(X1,sK10(sK1))
| ~ r1(sK0,X1) )
| ~ spl24_11 ),
inference(forward_subsumption_resolution,[],[f1169,f137]) ).
fof(f1535,plain,
( spl24_130
| spl24_76
| spl24_78
| ~ spl24_11 ),
inference(avatar_split_clause,[],[f1534,f135,f566,f560,f1023]) ).
fof(f1536,plain,
( ! [X0] :
( ~ r1(sK9(sK1),X0)
| p2(X0)
| ~ r1(sK0,sK1) )
| ~ spl24_78 ),
inference(resolution,[],[f568,f61]) ).
fof(f1537,plain,
( r1(sK1,sK9(sK1))
| ~ r1(sK0,sK1)
| ~ spl24_78 ),
inference(resolution,[],[f568,f59]) ).
fof(f1540,plain,
( ~ r1(sK0,sK1)
| spl24_10
| ~ spl24_78 ),
inference(forward_subsumption_resolution,[],[f1537,f132]) ).
fof(f1541,plain,
( ! [X0] :
( ~ r1(sK9(sK1),X0)
| p2(X0) )
| ~ spl24_78 ),
inference(forward_subsumption_resolution,[],[f1536,f51]) ).
fof(f1542,plain,
( $false
| spl24_10
| ~ spl24_78 ),
inference(forward_subsumption_resolution,[],[f1540,f51]) ).
fof(f1543,plain,
( spl24_10
| ~ spl24_78 ),
inference(avatar_contradiction_clause,[],[f1542]) ).
fof(f1557,plain,
( ~ r1(sK0,sK1)
| ~ spl24_11
| ~ spl24_130 ),
inference(resolution,[],[f1024,f137]) ).
fof(f1558,plain,
( $false
| ~ spl24_11
| ~ spl24_130 ),
inference(forward_subsumption_resolution,[],[f1557,f51]) ).
fof(f1559,plain,
( ~ spl24_11
| ~ spl24_130 ),
inference(avatar_contradiction_clause,[],[f1558]) ).
fof(f1951,plain,
( r1(sK1,sK11(sK1))
| ~ r1(sK0,sK1)
| ~ spl24_11
| ~ spl24_54
| ~ spl24_148 ),
inference(resolution,[],[f1440,f137]) ).
fof(f1956,plain,
( r1(sK1,sK11(sK1))
| ~ spl24_11
| ~ spl24_54
| ~ spl24_148 ),
inference(forward_subsumption_resolution,[],[f1951,f51]) ).
fof(f1957,plain,
( spl24_19
| ~ spl24_11
| ~ spl24_54
| ~ spl24_148 ),
inference(avatar_split_clause,[],[f1956,f1141,f413,f135,f185]) ).
fof(f1996,definition,
( spl24_240
<=> ! [X0] :
( ~ r1(X0,sK11(sK1))
| ~ r1(sK0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl24_240])],[avatar_definition]) ).
fof(f1997,plain,
( ! [X0] :
( ~ r1(X0,sK11(sK1))
| ~ r1(sK0,X0) )
| ~ spl24_240 ),
inference(avatar_component_clause,[],[f1996]) ).
fof(f2091,plain,
( ~ r1(sK0,sK1)
| ~ spl24_19
| ~ spl24_240 ),
inference(resolution,[],[f1997,f187]) ).
fof(f2092,plain,
( $false
| ~ spl24_19
| ~ spl24_240 ),
inference(forward_subsumption_resolution,[],[f2091,f51]) ).
fof(f2093,plain,
( ~ spl24_19
| ~ spl24_240 ),
inference(avatar_contradiction_clause,[],[f2092]) ).
fof(f2100,plain,
( r1(sK17(sK12(sK10(sK1))),sK21(sK17(sK12(sK10(sK1)))))
| ~ spl24_53
| ~ spl24_76
| ~ spl24_146 ),
inference(resolution,[],[f1131,f808]) ).
fof(f2113,plain,
( ! [X0] :
( r1(sK10(sK1),sK12(sK10(sK1)))
| ~ r1(X0,sK10(sK1))
| ~ r1(sK0,X0) )
| ~ spl24_11
| ~ spl24_20
| ~ spl24_54
| spl24_148 ),
inference(forward_subsumption_resolution,[],[f1139,f1142]) ).
fof(f2114,plain,
( spl24_130
| spl24_53
| ~ spl24_11
| ~ spl24_20
| ~ spl24_54
| spl24_148 ),
inference(avatar_split_clause,[],[f2113,f1141,f413,f189,f135,f409,f1023]) ).
fof(f2158,plain,
( p2(sK14(sK9(sK1)))
| r1(sK1,sK10(sK1))
| ~ r1(sK0,sK1)
| ~ spl24_10 ),
inference(resolution,[],[f255,f63]) ).
fof(f2163,plain,
( ! [X0] :
( ~ r1(X0,sK9(sK1))
| ~ r1(sK0,X0) )
| ~ spl24_88 ),
inference(resolution,[],[f659,f60]) ).
fof(f2204,definition,
( spl24_260
<=> ! [X1] :
( ~ r1(X1,sK9(sK1))
| ~ r1(sK0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl24_260])],[avatar_definition]) ).
fof(f2205,plain,
( ! [X1] :
( ~ r1(X1,sK9(sK1))
| ~ r1(sK0,X1) )
| ~ spl24_260 ),
inference(avatar_component_clause,[],[f2204]) ).
fof(f2265,plain,
( spl24_260
| ~ spl24_88 ),
inference(avatar_split_clause,[],[f2163,f657,f2204]) ).
fof(f2266,plain,
( ~ r1(sK0,sK1)
| ~ spl24_10
| ~ spl24_260 ),
inference(resolution,[],[f2205,f133]) ).
fof(f2267,plain,
( $false
| ~ spl24_10
| ~ spl24_260 ),
inference(forward_subsumption_resolution,[],[f2266,f51]) ).
fof(f2268,plain,
( ~ spl24_10
| ~ spl24_260 ),
inference(avatar_contradiction_clause,[],[f2267]) ).
fof(f2292,definition,
( spl24_271
<=> r1(sK17(sK12(sK10(sK1))),sK21(sK17(sK12(sK10(sK1))))) ),
introduced(definition,[new_symbols(definition,[spl24_271])],[avatar_definition]) ).
fof(f2294,plain,
( r1(sK17(sK12(sK10(sK1))),sK21(sK17(sK12(sK10(sK1)))))
| ~ spl24_271 ),
inference(avatar_component_clause,[],[f2292]) ).
fof(f2298,plain,
( spl24_271
| ~ spl24_53
| ~ spl24_76
| ~ spl24_146 ),
inference(avatar_split_clause,[],[f2100,f1130,f560,f409,f2292]) ).
fof(f2299,plain,
( p2(sK14(sK9(sK1)))
| r1(sK1,sK10(sK1))
| ~ spl24_10 ),
inference(forward_subsumption_resolution,[],[f2158,f51]) ).
fof(f2300,plain,
( spl24_11
| spl24_88
| ~ spl24_10 ),
inference(avatar_split_clause,[],[f2299,f131,f657,f135]) ).
fof(f2303,plain,
( r1(sK10(sK1),sK13(sK10(sK1)))
| r1(sK10(sK1),sK12(sK10(sK1)))
| ~ spl24_11 ),
inference(resolution,[],[f137,f150]) ).
fof(f2309,plain,
( spl24_53
| spl24_54
| ~ spl24_11 ),
inference(avatar_split_clause,[],[f2303,f135,f413,f409]) ).
fof(f2349,plain,
( p2(sK14(sK9(sK1)))
| ~ spl24_10
| ~ spl24_78 ),
inference(resolution,[],[f1541,f255]) ).
fof(f2352,plain,
( $false
| ~ spl24_10
| ~ spl24_78
| spl24_88 ),
inference(forward_subsumption_resolution,[],[f2349,f658]) ).
fof(f2353,plain,
( ~ spl24_10
| ~ spl24_78
| spl24_88 ),
inference(avatar_contradiction_clause,[],[f2352]) ).
fof(f2380,plain,
( ! [X0] :
( r1(sK17(sK12(sK10(sK1))),sK21(sK17(sK12(sK10(sK1)))))
| r1(sK10(sK1),sK13(sK10(sK1)))
| ~ r1(X0,sK10(sK1))
| ~ r1(sK0,X0) )
| ~ spl24_53
| ~ spl24_76 ),
inference(resolution,[],[f808,f13]) ).
fof(f2381,plain,
( spl24_130
| spl24_54
| spl24_271
| ~ spl24_53
| ~ spl24_76 ),
inference(avatar_split_clause,[],[f2380,f560,f409,f2292,f413,f1023]) ).
fof(f2493,plain,
( ~ r1(sK10(sK1),sK12(sK10(sK1)))
| p2(sK21(sK17(sK12(sK10(sK1)))))
| ~ spl24_152
| ~ spl24_271 ),
inference(resolution,[],[f2294,f1174]) ).
fof(f2499,definition,
( spl24_278
<=> p2(sK21(sK17(sK12(sK10(sK1))))) ),
introduced(definition,[new_symbols(definition,[spl24_278])],[avatar_definition]) ).
fof(f2501,plain,
( p2(sK21(sK17(sK12(sK10(sK1)))))
| ~ spl24_278 ),
inference(avatar_component_clause,[],[f2499]) ).
fof(f2503,plain,
( p2(sK21(sK17(sK12(sK10(sK1)))))
| ~ spl24_53
| ~ spl24_152
| ~ spl24_271 ),
inference(forward_subsumption_resolution,[],[f2493,f411]) ).
fof(f2504,plain,
( spl24_278
| ~ spl24_53
| ~ spl24_152
| ~ spl24_271 ),
inference(avatar_split_clause,[],[f2503,f2292,f1173,f409,f2499]) ).
fof(f2505,plain,
( ! [X2,X0,X1] :
( ~ r1(sK12(X0),sK17(sK12(sK10(sK1))))
| p2(X1)
| ~ r1(sK13(X0),X1)
| ~ r1(X2,X0)
| ~ r1(sK0,X2) )
| ~ spl24_278 ),
inference(resolution,[],[f2501,f76]) ).
fof(f2506,plain,
( ! [X0,X1] :
( ~ r1(sK12(X0),sK17(sK12(sK10(sK1))))
| r1(X0,sK13(X0))
| ~ r1(X1,X0)
| ~ r1(sK0,X1) )
| ~ spl24_278 ),
inference(resolution,[],[f2501,f77]) ).
fof(f2703,plain,
( ! [X0] :
( r1(sK10(sK1),sK13(sK10(sK1)))
| ~ r1(X0,sK10(sK1))
| ~ r1(sK0,X0) )
| ~ spl24_53
| ~ spl24_76
| ~ spl24_278 ),
inference(resolution,[],[f2506,f808]) ).
fof(f2704,plain,
( spl24_130
| spl24_54
| ~ spl24_53
| ~ spl24_76
| ~ spl24_278 ),
inference(avatar_split_clause,[],[f2703,f2499,f560,f409,f413,f1023]) ).
fof(f2842,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK13(sK10(sK1)),X0)
| ~ r1(X1,sK10(sK1))
| ~ r1(sK0,X1) )
| ~ spl24_53
| ~ spl24_76
| ~ spl24_278 ),
inference(resolution,[],[f2505,f808]) ).
fof(f2844,definition,
( spl24_298
<=> ! [X0] :
( p2(X0)
| ~ r1(sK13(sK10(sK1)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl24_298])],[avatar_definition]) ).
fof(f2845,plain,
( ! [X0] :
( ~ r1(sK13(sK10(sK1)),X0)
| p2(X0) )
| ~ spl24_298 ),
inference(avatar_component_clause,[],[f2844]) ).
fof(f2846,plain,
( spl24_130
| spl24_298
| ~ spl24_53
| ~ spl24_76
| ~ spl24_278 ),
inference(avatar_split_clause,[],[f2842,f2499,f560,f409,f2844,f1023]) ).
fof(f2848,plain,
( p2(sK19(sK13(sK10(sK1))))
| ~ spl24_11
| ~ spl24_20
| ~ spl24_54
| ~ spl24_298 ),
inference(resolution,[],[f2845,f1036]) ).
fof(f2851,plain,
( $false
| ~ spl24_11
| ~ spl24_20
| ~ spl24_54
| spl24_148
| ~ spl24_298 ),
inference(forward_subsumption_resolution,[],[f2848,f1142]) ).
fof(f2852,plain,
( ~ spl24_11
| ~ spl24_20
| ~ spl24_54
| spl24_148
| ~ spl24_298 ),
inference(avatar_contradiction_clause,[],[f2851]) ).
fof(f2876,plain,
( ! [X0,X1] :
( p2(sK14(sK11(sK1)))
| r1(X0,sK19(X0))
| ~ r1(X1,X0)
| ~ r1(sK1,X1)
| ~ r1(sK0,sK1) )
| ~ spl24_19 ),
inference(resolution,[],[f256,f71]) ).
fof(f3044,plain,
( ! [X0] :
( ~ r1(sK11(sK1),X0)
| p2(X0)
| ~ r1(sK0,sK1) )
| ~ spl24_11
| ~ spl24_54
| ~ spl24_148 ),
inference(resolution,[],[f1474,f137]) ).
fof(f3045,plain,
( ! [X0] :
( ~ r1(sK11(sK1),X0)
| p2(X0) )
| ~ spl24_11
| ~ spl24_54
| ~ spl24_148 ),
inference(forward_subsumption_resolution,[],[f3044,f51]) ).
fof(f3047,plain,
( p2(sK14(sK11(sK1)))
| ~ spl24_11
| ~ spl24_19
| ~ spl24_54
| ~ spl24_148 ),
inference(resolution,[],[f3045,f256]) ).
fof(f3055,plain,
( ! [X0] :
( ~ r1(X0,sK11(sK1))
| ~ r1(sK0,X0) )
| ~ spl24_11
| ~ spl24_19
| ~ spl24_54
| ~ spl24_148 ),
inference(resolution,[],[f3047,f60]) ).
fof(f3058,plain,
( spl24_240
| ~ spl24_11
| ~ spl24_19
| ~ spl24_54
| ~ spl24_148 ),
inference(avatar_split_clause,[],[f3055,f1141,f413,f185,f135,f1996]) ).
fof(f3061,plain,
( ! [X0,X1] :
( p2(sK14(sK11(sK1)))
| r1(X0,sK19(X0))
| ~ r1(X1,X0)
| ~ r1(sK1,X1) )
| ~ spl24_19 ),
inference(forward_subsumption_resolution,[],[f2876,f51]) ).
fof(f3068,definition,
( spl24_312
<=> p2(sK14(sK11(sK1))) ),
introduced(definition,[new_symbols(definition,[spl24_312])],[avatar_definition]) ).
fof(f3070,plain,
( p2(sK14(sK11(sK1)))
| ~ spl24_312 ),
inference(avatar_component_clause,[],[f3068]) ).
fof(f3072,plain,
( spl24_20
| spl24_312
| ~ spl24_19 ),
inference(avatar_split_clause,[],[f3061,f185,f3068,f189]) ).
fof(f3075,plain,
( ! [X0] :
( ~ r1(X0,sK11(sK1))
| ~ r1(sK0,X0) )
| ~ spl24_312 ),
inference(resolution,[],[f3070,f60]) ).
fof(f3078,plain,
( spl24_240
| ~ spl24_312 ),
inference(avatar_split_clause,[],[f3075,f3068,f1996]) ).
cnf(s6,plain,
( spl24_10
| spl24_11 ),
inference(sat_conversion,[],[f138]) ).
cnf(s11,plain,
( spl24_19
| spl24_20 ),
inference(sat_conversion,[],[f191]) ).
cnf(s132,plain,
( ~ spl24_11
| ~ spl24_20
| ~ spl24_54
| spl24_130
| spl24_146
| spl24_148 ),
inference(sat_conversion,[],[f1144]) ).
cnf(s138,plain,
( ~ spl24_11
| spl24_78
| spl24_130
| spl24_152 ),
inference(sat_conversion,[],[f1175]) ).
cnf(s173,plain,
( ~ spl24_11
| spl24_76
| spl24_78
| spl24_130 ),
inference(sat_conversion,[],[f1535]) ).
cnf(s174,plain,
( spl24_10
| ~ spl24_78 ),
inference(sat_conversion,[],[f1543]) ).
cnf(s177,plain,
( ~ spl24_11
| ~ spl24_130 ),
inference(sat_conversion,[],[f1559]) ).
cnf(s228,plain,
( ~ spl24_11
| spl24_19
| ~ spl24_54
| ~ spl24_148 ),
inference(sat_conversion,[],[f1957]) ).
cnf(s244,plain,
( ~ spl24_19
| ~ spl24_240 ),
inference(sat_conversion,[],[f2093]) ).
cnf(s248,plain,
( ~ spl24_11
| ~ spl24_20
| spl24_53
| ~ spl24_54
| spl24_130
| spl24_148 ),
inference(sat_conversion,[],[f2114]) ).
cnf(s275,plain,
( ~ spl24_88
| spl24_260 ),
inference(sat_conversion,[],[f2265]) ).
cnf(s276,plain,
( ~ spl24_10
| ~ spl24_260 ),
inference(sat_conversion,[],[f2268]) ).
cnf(s291,plain,
( ~ spl24_53
| ~ spl24_76
| ~ spl24_146
| spl24_271 ),
inference(sat_conversion,[],[f2298]) ).
cnf(s292,plain,
( ~ spl24_10
| spl24_11
| spl24_88 ),
inference(sat_conversion,[],[f2300]) ).
cnf(s293,plain,
( ~ spl24_11
| spl24_53
| spl24_54 ),
inference(sat_conversion,[],[f2309]) ).
cnf(s299,plain,
( ~ spl24_10
| ~ spl24_78
| spl24_88 ),
inference(sat_conversion,[],[f2353]) ).
cnf(s317,plain,
( ~ spl24_53
| spl24_54
| ~ spl24_76
| spl24_130
| spl24_271 ),
inference(sat_conversion,[],[f2381]) ).
cnf(s336,plain,
( ~ spl24_53
| ~ spl24_152
| ~ spl24_271
| spl24_278 ),
inference(sat_conversion,[],[f2504]) ).
cnf(s369,plain,
( ~ spl24_53
| spl24_54
| ~ spl24_76
| spl24_130
| ~ spl24_278 ),
inference(sat_conversion,[],[f2704]) ).
cnf(s391,plain,
( ~ spl24_53
| ~ spl24_76
| spl24_130
| ~ spl24_278
| spl24_298 ),
inference(sat_conversion,[],[f2846]) ).
cnf(s392,plain,
( ~ spl24_11
| ~ spl24_20
| ~ spl24_54
| spl24_148
| ~ spl24_298 ),
inference(sat_conversion,[],[f2852]) ).
cnf(s438,plain,
( ~ spl24_11
| ~ spl24_19
| ~ spl24_54
| ~ spl24_148
| spl24_240 ),
inference(sat_conversion,[],[f3058]) ).
cnf(s441,plain,
( ~ spl24_19
| spl24_20
| spl24_312 ),
inference(sat_conversion,[],[f3072]) ).
cnf(s442,plain,
( spl24_240
| ~ spl24_312 ),
inference(sat_conversion,[],[f3078]) ).
cnf(s451,plain,
( spl24_53
| spl24_19
| ~ spl24_11 ),
inference(rat,[],[s248,s228,s293,s177,s11]) ).
cnf(s452,plain,
( ~ spl24_54
| spl24_19
| spl24_10 ),
inference(rat,[],[s336,s391,s291,s392,s132,s228,s173,s138,s177,s174,s11,s451,s6]) ).
cnf(s453,plain,
( spl24_19
| spl24_10 ),
inference(rat,[],[s336,s369,s317,s452,s451,s173,s138,s177,s174,s6]) ).
cnf(s454,plain,
( ~ spl24_54
| ~ spl24_53
| spl24_10 ),
inference(rat,[],[s336,s391,s291,s392,s132,s438,s173,s138,s177,s174,s6,s441,s442,s244,s453]) ).
cnf(s455,plain,
( ~ spl24_53
| spl24_10 ),
inference(rat,[],[s336,s369,s317,s454,s173,s138,s177,s174,s6]) ).
cnf(s456,plain,
spl24_10,
inference(rat,[],[s248,s438,s293,s455,s441,s442,s244,s453,s177,s6]) ).
cnf(s457,plain,
~ spl24_260,
inference(rat,[],[s276,s456]) ).
cnf(s458,plain,
~ spl24_88,
inference(rat,[],[s275,s457]) ).
cnf(s459,plain,
spl24_11,
inference(rat,[],[s292,s456,s458]) ).
cnf(s460,plain,
~ spl24_78,
inference(rat,[],[s299,s456,s458]) ).
cnf(s462,plain,
~ spl24_130,
inference(rat,[],[s177,s459]) ).
cnf(s463,plain,
spl24_76,
inference(rat,[],[s173,s462,s460,s459]) ).
cnf(s464,plain,
spl24_152,
inference(rat,[],[s138,s459,s460,s462]) ).
cnf(s467,plain,
( spl24_19
| ~ spl24_298
| ~ spl24_54 ),
inference(rat,[],[s392,s228,s11,s459]) ).
cnf(s468,plain,
( ~ spl24_298
| ~ spl24_54 ),
inference(rat,[],[s441,s392,s442,s438,s244,s467,s459]) ).
cnf(s469,plain,
( spl24_19
| spl24_146
| ~ spl24_54 ),
inference(rat,[],[s132,s228,s11,s459,s462]) ).
cnf(s470,plain,
( spl24_146
| ~ spl24_54 ),
inference(rat,[],[s441,s132,s442,s438,s244,s469,s462,s459]) ).
cnf(s471,plain,
( ~ spl24_54
| ~ spl24_53 ),
inference(rat,[],[s470,s291,s336,s391,s468,s463,s464,s462]) ).
cnf(s472,plain,
( spl24_54
| ~ spl24_53 ),
inference(rat,[],[s336,s369,s317,s462,s463,s464]) ).
cnf(s473,plain,
~ spl24_53,
inference(rat,[],[s472,s471]) ).
cnf(s474,plain,
spl24_54,
inference(rat,[],[s293,s459,s473]) ).
cnf(s475,plain,
spl24_19,
inference(rat,[],[s451,s459,s473]) ).
cnf(s478,plain,
~ spl24_240,
inference(rat,[],[s244,s475]) ).
cnf(s479,plain,
~ spl24_148,
inference(rat,[],[s438,s478,s474,s459,s475]) ).
cnf(s480,plain,
~ spl24_312,
inference(rat,[],[s442,s478]) ).
cnf(s481,plain,
~ spl24_20,
inference(rat,[],[s248,s473,s462,s474,s459,s479]) ).
cnf(s482,plain,
$false,
inference(rat,[],[s441,s475,s480,s481]) ).
fof(f3079,plain,
$false,
inference(avatar_sat_refutation,[],[s482]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL652+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 16:17:00 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.55 % (2223547)Will run a generic schedule for satisfiability detection.
% 0.15/0.55 % (2223556)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3007159784:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.55 % (2223553)% WARNING: option uhcvi not known.
% 0.15/0.55 % (2223552)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2172013164_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.55 % (2223553)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2079684082:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.55 % (2223554)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2368018645:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.55 % (2223555)dis+10_1_sil=32000:sp=arity:random_seed=2056600182:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.55 % (2223558)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=532707445:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.55 % (2223557)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3008206601:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.55 % TRYING [1]
% 0.15/0.55 % TRYING [2]
% 0.15/0.55 % TRYING [3]
% 0.15/0.55 % TRYING [4]
% 0.15/0.55 % (2223556)Instruction limit reached!
% 0.15/0.55 % (2223556)------------------------------
% 0.15/0.55 % (2223556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.55 % (2223556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.55 % (2223556)CaDiCaL version: 2.1.3
% 0.15/0.55 % (2223556)Termination reason: Instruction limit
% 0.15/0.55 % (2223556)Termination phase: Saturation
% 0.15/0.55 % (2223556)Time elapsed: 0.035 s
% 0.15/0.55 % (2223556)Peak memory usage: 12 MB
% 0.15/0.55 % (2223556)Instructions burned: 119 (million)
% 0.15/0.55 % (2223566)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=332627918:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.15/0.55 % TRYING [1]
% 0.15/0.55 % TRYING [2]
% 0.15/0.55 % TRYING [3]
% 0.15/0.55 % TRYING [4]
% 0.15/0.55 % (2223555)Instruction limit reached!
% 0.15/0.55 % (2223555)------------------------------
% 0.15/0.55 % (2223555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.55 % (2223555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.55 % (2223555)CaDiCaL version: 2.1.3
% 0.15/0.55 % (2223555)Termination reason: Instruction limit
% 0.15/0.55 % (2223555)Termination phase: Saturation
% 0.15/0.55 % (2223555)Time elapsed: 0.064 s
% 0.15/0.55 % (2223555)Peak memory usage: 13 MB
% 0.15/0.55 % (2223555)Instructions burned: 104 (million)
% 0.15/0.55 % TRYING [5]
% 0.15/0.55 % (2223557)Instruction limit reached!
% 0.15/0.55 % (2223557)------------------------------
% 0.15/0.55 % (2223557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.55 % (2223557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.55 % (2223557)CaDiCaL version: 2.1.3
% 0.15/0.55 % (2223557)Termination reason: Instruction limit
% 0.15/0.55 % (2223557)Termination phase: Saturation
% 0.15/0.55 % (2223557)Time elapsed: 0.080 s
% 0.15/0.55 % (2223557)Peak memory usage: 14 MB
% 0.15/0.55 % (2223557)Instructions burned: 138 (million)
% 0.15/0.55 % (2223568)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3053083427:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.55 % (2223558)Instruction limit reached!
% 0.15/0.55 % (2223558)------------------------------
% 0.15/0.55 % (2223558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.55 % (2223558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.55 % (2223553) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2223547-2223553"...
% 0.15/0.55 % (2223558)CaDiCaL version: 2.1.3
% 0.15/0.55 % (2223558)Termination reason: Instruction limit
% 0.15/0.55 % (2223558)Termination phase: Saturation
% 0.15/0.55 % (2223558)Time elapsed: 0.094 s
% 0.15/0.55 % (2223558)Peak memory usage: 14 MB
% 0.15/0.55 % (2223558)Instructions burned: 160 (million)
% 0.15/0.55 % (2223553)...printing done.
% 0.15/0.55 % (2223553)Refutation found. Thanks to Tanya!
% 0.15/0.55 % SZS status Theorem for theBenchmark
% 0.15/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.55 % (2223553)------------------------------
% 0.15/0.55 % (2223553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.55 % (2223553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.55 % (2223553)CaDiCaL version: 2.1.3
% 0.15/0.55 % (2223553)Termination reason: Refutation
% 0.15/0.55 % (2223553)Time elapsed: 0.099 s
% 0.15/0.55 % (2223553)Peak memory usage: 14 MB
% 0.15/0.55 % (2223553)Instructions burned: 148 (million)
% 0.15/0.55 % (2223547)Success in time 0.135 s
% 0.15/0.55 % Vampire exiting
%------------------------------------------------------------------------------