%------------------------------------------------------------------------------
% File : Vampire---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/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 11:54:18 AM UTC 2026
% Result : Theorem 5.24s 1.82s
% Output : Refutation 7.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 21
% Syntax : Number of formulae : 205 ( 23 unt; 20 def)
% Number of atoms : 1416 ( 0 equ)
% Maximal formula atoms : 74 ( 6 avg)
% Number of connectives : 2373 (1162 ~; 976 |; 219 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 17 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 5 con; 0-1 aty)
% Number of variables : 688 ( 0 sgn 574 !; 114 ?)
% 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/sandbox2/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,definition,
! [X8] :
( ! [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) ) ) ) )
| ~ sP0(X8) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X8] :
( ? [X31] :
( r1(X8,X31)
& ? [X32] : r1(X31,X32)
& p2(X31) )
| ? [X33] :
( r1(X8,X33)
& ! [X34] :
( ~ r1(X33,X34)
| ~ p2(X34) ) )
| ~ sP1(X8) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X8] :
( ! [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) ) )
| ~ sP2(X8) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X8] :
( ! [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) ) ) ) )
| ~ sP3(X8) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f13,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) ) )
& sP3(X8)
& sP2(X8)
& sP0(X8)
& sP1(X8) ) )
& ! [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(definition_folding,[],[f8,f12,f11,f10,f9]) ).
fof(f14,plain,
! [X8] :
( ! [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) ) ) ) )
| ~ sP3(X8) ),
inference(nnf_transformation,[],[f12]) ).
fof(f15,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ( ? [X3] : r1(X2,X3)
& p2(X2) ) )
| ~ p2(X1)
| ! [X4] :
( ~ r1(X1,X4)
| ? [X5] :
( r1(X4,X5)
& ! [X6] :
( ~ r1(X5,X6)
| ~ p2(X6) ) ) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f14]) ).
fof(f16,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ( r1(X2,sK4(X2))
& p2(X2) ) )
| ~ p2(X1)
| ! [X4] :
( ~ r1(X1,X4)
| ( r1(X4,sK5(X4))
& ! [X6] :
( ~ r1(sK5(X4),X6)
| ~ p2(X6) ) ) ) )
| ~ sP3(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X3,sK4(X2)),skolemize(X5,sK5(X4))],[f15]) ).
fof(f17,plain,
! [X8] :
( ! [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) ) )
| ~ sP2(X8) ),
inference(nnf_transformation,[],[f11]) ).
fof(f18,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] : r1(X3,X4)
& p2(X3) ) ) )
| ? [X5] :
( r1(X0,X5)
& ! [X6] :
( ~ r1(X5,X6)
| ~ p2(X6) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f17]) ).
fof(f19,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ( r1(X2,sK6(X2))
& r1(sK6(X2),sK7(X2))
& p2(sK6(X2)) ) ) )
| ( r1(X0,sK8(X0))
& ! [X6] :
( ~ r1(sK8(X0),X6)
| ~ p2(X6) ) )
| ~ sP2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X3,sK6(X2)),skolemize(X4,sK7(X2)),skolemize(X5,sK8(X0))],[f18]) ).
fof(f20,plain,
! [X8] :
( ? [X31] :
( r1(X8,X31)
& ? [X32] : r1(X31,X32)
& p2(X31) )
| ? [X33] :
( r1(X8,X33)
& ! [X34] :
( ~ r1(X33,X34)
| ~ p2(X34) ) )
| ~ sP1(X8) ),
inference(nnf_transformation,[],[f10]) ).
fof(f21,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ? [X2] : r1(X1,X2)
& p2(X1) )
| ? [X3] :
( r1(X0,X3)
& ! [X4] :
( ~ r1(X3,X4)
| ~ p2(X4) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f20]) ).
fof(f22,plain,
! [X0] :
( ( r1(X0,sK9(X0))
& r1(sK9(X0),sK10(X0))
& p2(sK9(X0)) )
| ( r1(X0,sK11(X0))
& ! [X4] :
( ~ r1(sK11(X0),X4)
| ~ p2(X4) ) )
| ~ sP1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11]),skolemize(X1,sK9(X0)),skolemize(X2,sK10(X0)),skolemize(X3,sK11(X0))],[f21]) ).
fof(f23,plain,
! [X8] :
( ! [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) ) ) ) )
| ~ sP0(X8) ),
inference(nnf_transformation,[],[f9]) ).
fof(f24,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ? [X2] :
( r1(X1,X2)
& ! [X3] :
( ~ r1(X2,X3)
| ~ p2(X3) ) )
| ? [X4] :
( r1(X1,X4)
& ! [X5] :
( ~ r1(X4,X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] : r1(X6,X7)
& p2(X6) ) ) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( r1(X1,sK12(X1))
& ! [X3] :
( ~ r1(sK12(X1),X3)
| ~ p2(X3) ) )
| ( r1(X1,sK13(X1))
& ! [X5] :
( ~ r1(sK13(X1),X5)
| ( r1(X5,sK14(X5))
& r1(sK14(X5),sK15(X5))
& p2(sK14(X5)) ) ) ) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15]),skolemize(X2,sK12(X1)),skolemize(X4,sK13(X1)),skolemize(X6,sK14(X5)),skolemize(X7,sK15(X5))],[f24]) ).
fof(f26,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ? [X4] :
( r1(X3,X4)
& p1(X4) ) ) )
| ? [X5] :
( r1(X1,X5)
& ! [X6] :
( ~ r1(X5,X6)
| ~ p1(X6) ) ) )
& ! [X7] :
( ~ r1(X0,X7)
| ( ! [X8] :
( ~ r1(X7,X8)
| ? [X9] :
( r1(X8,X9)
& ? [X10] : r1(X9,X10)
& p2(X9) ) )
& sP3(X7)
& sP2(X7)
& sP0(X7)
& sP1(X7) ) )
& ! [X11] :
( ~ r1(X0,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| p1(X13) ) )
| ? [X14] :
( r1(X11,X14)
& ~ p1(X14) ) )
& ? [X15] :
( r1(X0,X15)
& ? [X16] :
( r1(X15,X16)
& ! [X17] :
( ~ r1(X16,X17)
| p1(X17) ) )
& ? [X18] :
( r1(X15,X18)
& ~ p1(X18) ) )
& ? [X19] :
( r1(X0,X19)
& ! [X20] :
( ~ r1(X19,X20)
| ? [X21] :
( r1(X20,X21)
& ~ p2(X21) ) ) )
& ! [X22] :
( ~ r1(X0,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| ~ p1(X24) ) )
| ? [X25] :
( r1(X22,X25)
& p1(X25) ) ) ),
inference(rectify,[],[f13]) ).
fof(f27,plain,
( ! [X1] :
( ~ r1(sK16,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| ( r1(X3,sK17(X3))
& p1(sK17(X3)) ) ) )
| ( r1(X1,sK18(X1))
& ! [X6] :
( ~ r1(sK18(X1),X6)
| ~ p1(X6) ) ) )
& ! [X7] :
( ~ r1(sK16,X7)
| ( ! [X8] :
( ~ r1(X7,X8)
| ( r1(X8,sK19(X8))
& r1(sK19(X8),sK20(X8))
& p2(sK19(X8)) ) )
& sP3(X7)
& sP2(X7)
& sP0(X7)
& sP1(X7) ) )
& ! [X11] :
( ~ r1(sK16,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| p1(X13) ) )
| ( r1(X11,sK21(X11))
& ~ p1(sK21(X11)) ) )
& r1(sK16,sK22)
& r1(sK22,sK23)
& ! [X17] :
( ~ r1(sK23,X17)
| p1(X17) )
& r1(sK22,sK24)
& ~ p1(sK24)
& r1(sK16,sK25)
& ! [X20] :
( ~ r1(sK25,X20)
| ( r1(X20,sK26(X20))
& ~ p2(sK26(X20)) ) )
& ! [X22] :
( ~ r1(sK16,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| ~ p1(X24) ) )
| ( r1(X22,sK27(X22))
& p1(sK27(X22)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK16),skolemize(X4,sK17(X3)),skolemize(X5,sK18(X1)),skolemize(X9,sK19(X8)),skolemize(X10,sK20(X8)),skolemize(X14,sK21(X11)),skolemize(X15,sK22),skolemize(X16,sK23),skolemize(X18,sK24),skolemize(X19,sK25),skolemize(X21,sK26(X20)),skolemize(X25,sK27(X22))],[f26]) ).
fof(f28,plain,
! [X2,X0,X1,X6,X4] :
( ~ r1(sK5(X4),X6)
| ~ r1(X1,X2)
| p2(X2)
| ~ p2(X1)
| ~ r1(X1,X4)
| ~ r1(X0,X1)
| ~ p2(X6)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f29,plain,
! [X2,X0,X1,X4] :
( ~ r1(X1,X4)
| ~ r1(X1,X2)
| p2(X2)
| ~ p2(X1)
| ~ r1(X0,X1)
| r1(X4,sK5(X4))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f32,plain,
! [X2,X0,X1,X6] :
( ~ r1(sK8(X0),X6)
| ~ r1(X1,X2)
| p2(sK6(X2))
| ~ r1(X0,X1)
| ~ p2(X6)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(sK6(X2))
| r1(X0,sK8(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f36,plain,
! [X2,X0,X1,X6] :
( ~ r1(sK8(X0),X6)
| ~ r1(X1,X2)
| r1(X2,sK6(X2))
| ~ r1(X0,X1)
| ~ p2(X6)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X2,sK6(X2))
| r1(X0,sK8(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f38,plain,
! [X0,X4] :
( ~ r1(sK11(X0),X4)
| p2(sK9(X0))
| ~ p2(X4)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f39,plain,
! [X0] :
( r1(X0,sK11(X0))
| p2(sK9(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f42,plain,
! [X0,X4] :
( ~ r1(sK11(X0),X4)
| r1(X0,sK9(X0))
| ~ p2(X4)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f43,plain,
! [X0] :
( r1(X0,sK11(X0))
| r1(X0,sK9(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f44,plain,
! [X3,X0,X1,X5] :
( ~ r1(sK13(X1),X5)
| ~ r1(sK12(X1),X3)
| ~ p2(X3)
| ~ r1(X0,X1)
| p2(sK14(X5))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f46,plain,
! [X3,X0,X1,X5] :
( ~ r1(sK13(X1),X5)
| ~ r1(sK12(X1),X3)
| ~ p2(X3)
| ~ r1(X0,X1)
| r1(X5,sK14(X5))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f47,plain,
! [X3,X0,X1] :
( ~ r1(sK12(X1),X3)
| ~ r1(X0,X1)
| ~ p2(X3)
| r1(X1,sK13(X1))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f48,plain,
! [X0,X1,X5] :
( ~ r1(sK13(X1),X5)
| r1(X1,sK12(X1))
| ~ r1(X0,X1)
| p2(sK14(X5))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f50,plain,
! [X0,X1,X5] :
( ~ r1(sK13(X1),X5)
| r1(X1,sK12(X1))
| ~ r1(X0,X1)
| r1(X5,sK14(X5))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f51,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK12(X1))
| r1(X1,sK13(X1))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f54,plain,
! [X20] :
( ~ p2(sK26(X20))
| ~ r1(sK25,X20) ),
inference(cnf_transformation,[],[f27]) ).
fof(f55,plain,
! [X20] :
( r1(X20,sK26(X20))
| ~ r1(sK25,X20) ),
inference(cnf_transformation,[],[f27]) ).
fof(f56,plain,
r1(sK16,sK25),
inference(cnf_transformation,[],[f27]) ).
fof(f64,plain,
! [X7] :
( ~ r1(sK16,X7)
| sP1(X7) ),
inference(cnf_transformation,[],[f27]) ).
fof(f65,plain,
! [X7] :
( ~ r1(sK16,X7)
| sP0(X7) ),
inference(cnf_transformation,[],[f27]) ).
fof(f66,plain,
! [X7] :
( ~ r1(sK16,X7)
| sP2(X7) ),
inference(cnf_transformation,[],[f27]) ).
fof(f67,plain,
! [X7] :
( ~ r1(sK16,X7)
| sP3(X7) ),
inference(cnf_transformation,[],[f27]) ).
fof(f68,plain,
! [X8,X7] :
( ~ r1(sK16,X7)
| ~ r1(X7,X8)
| p2(sK19(X8)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f70,plain,
! [X8,X7] :
( ~ r1(sK16,X7)
| ~ r1(X7,X8)
| r1(X8,sK19(X8)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f76,plain,
sP1(sK25),
inference(resolution,[],[f64,f56]) ).
fof(f78,plain,
sP2(sK25),
inference(resolution,[],[f66,f56]) ).
fof(f80,plain,
sP0(sK25),
inference(resolution,[],[f65,f56]) ).
fof(f82,plain,
sP3(sK25),
inference(resolution,[],[f67,f56]) ).
fof(f588,plain,
! [X0] :
( ~ r1(sK25,X0)
| p2(sK19(X0)) ),
inference(resolution,[],[f68,f56]) ).
fof(f927,definition,
( spl28_132
<=> p2(sK9(sK25)) ),
introduced(definition,[new_symbols(definition,[spl28_132])],[avatar_definition]) ).
fof(f928,plain,
( ~ p2(sK9(sK25))
| spl28_132 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f929,plain,
( p2(sK9(sK25))
| ~ spl28_132 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f936,definition,
( spl28_134
<=> r1(sK25,sK9(sK25)) ),
introduced(definition,[new_symbols(definition,[spl28_134])],[avatar_definition]) ).
fof(f938,plain,
( r1(sK25,sK9(sK25))
| ~ spl28_134 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f1035,plain,
! [X0] :
( r1(X0,sK19(X0))
| ~ r1(sK25,X0) ),
inference(resolution,[],[f70,f56]) ).
fof(f1061,plain,
! [X2,X0,X1] :
( ~ r1(sK25,sK8(X0))
| ~ r1(X1,X2)
| p2(sK6(X2))
| ~ r1(X0,X1)
| ~ p2(sK19(sK8(X0)))
| ~ sP2(X0) ),
inference(resolution,[],[f1035,f32]) ).
fof(f1062,plain,
! [X2,X0,X1] :
( ~ r1(sK25,sK8(X0))
| ~ r1(X1,X2)
| r1(X2,sK6(X2))
| ~ r1(X0,X1)
| ~ p2(sK19(sK8(X0)))
| ~ sP2(X0) ),
inference(resolution,[],[f1035,f36]) ).
fof(f1064,plain,
! [X0] :
( ~ r1(sK25,sK11(X0))
| p2(sK9(X0))
| ~ p2(sK19(sK11(X0)))
| ~ sP1(X0) ),
inference(resolution,[],[f1035,f38]) ).
fof(f1065,plain,
! [X0] :
( ~ r1(sK25,sK11(X0))
| r1(X0,sK9(X0))
| ~ p2(sK19(sK11(X0)))
| ~ sP1(X0) ),
inference(resolution,[],[f1035,f42]) ).
fof(f1074,plain,
! [X0] :
( ~ r1(sK25,sK11(X0))
| r1(X0,sK9(X0))
| ~ sP1(X0) ),
inference(forward_subsumption_resolution,[],[f1065,f588]) ).
fof(f1075,plain,
! [X0] :
( ~ r1(sK25,sK11(X0))
| p2(sK9(X0))
| ~ sP1(X0) ),
inference(forward_subsumption_resolution,[],[f1064,f588]) ).
fof(f1077,plain,
! [X2,X0,X1] :
( ~ r1(sK25,sK8(X0))
| ~ r1(X1,X2)
| r1(X2,sK6(X2))
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(forward_subsumption_resolution,[],[f1062,f588]) ).
fof(f1078,plain,
! [X2,X0,X1] :
( ~ r1(sK25,sK8(X0))
| ~ r1(X1,X2)
| p2(sK6(X2))
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(forward_subsumption_resolution,[],[f1061,f588]) ).
fof(f1082,plain,
( r1(sK25,sK9(sK25))
| ~ sP1(sK25)
| r1(sK25,sK9(sK25))
| ~ sP1(sK25) ),
inference(resolution,[],[f1074,f43]) ).
fof(f1085,plain,
( r1(sK25,sK9(sK25))
| ~ sP1(sK25) ),
inference(duplicate_literal_removal,[],[f1082]) ).
fof(f1087,plain,
r1(sK25,sK9(sK25)),
inference(forward_subsumption_resolution,[],[f1085,f76]) ).
fof(f1089,plain,
spl28_134,
inference(avatar_split_clause,[],[f1087,f936]) ).
fof(f1096,plain,
( r1(sK9(sK25),sK12(sK9(sK25)))
| r1(sK9(sK25),sK13(sK9(sK25)))
| ~ sP0(sK25)
| ~ spl28_134 ),
inference(resolution,[],[f938,f51]) ).
fof(f1097,plain,
( r1(sK9(sK25),sK12(sK9(sK25)))
| r1(sK9(sK25),sK13(sK9(sK25)))
| ~ spl28_134 ),
inference(forward_subsumption_resolution,[],[f1096,f80]) ).
fof(f1120,definition,
( spl28_155
<=> r1(sK9(sK25),sK13(sK9(sK25))) ),
introduced(definition,[new_symbols(definition,[spl28_155])],[avatar_definition]) ).
fof(f1121,plain,
( ~ r1(sK9(sK25),sK13(sK9(sK25)))
| spl28_155 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f1122,plain,
( r1(sK9(sK25),sK13(sK9(sK25)))
| ~ spl28_155 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f1124,definition,
( spl28_156
<=> r1(sK9(sK25),sK12(sK9(sK25))) ),
introduced(definition,[new_symbols(definition,[spl28_156])],[avatar_definition]) ).
fof(f1125,plain,
( ~ r1(sK9(sK25),sK12(sK9(sK25)))
| spl28_156 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1126,plain,
( r1(sK9(sK25),sK12(sK9(sK25)))
| ~ spl28_156 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1127,plain,
( spl28_155
| spl28_156
| ~ spl28_134 ),
inference(avatar_split_clause,[],[f1097,f936,f1124,f1120]) ).
fof(f1130,plain,
( ! [X0,X1] :
( ~ r1(sK9(sK25),X0)
| p2(X0)
| ~ p2(sK9(sK25))
| ~ r1(X1,sK9(sK25))
| r1(sK13(sK9(sK25)),sK5(sK13(sK9(sK25))))
| ~ sP3(X1) )
| ~ spl28_155 ),
inference(resolution,[],[f1122,f29]) ).
fof(f1152,definition,
( spl28_161
<=> ! [X0] :
( ~ r1(X0,sK9(sK25))
| ~ sP2(X0)
| r1(X0,sK8(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl28_161])],[avatar_definition]) ).
fof(f1153,plain,
( ! [X0] :
( ~ r1(X0,sK9(sK25))
| ~ sP2(X0)
| r1(X0,sK8(X0)) )
| ~ spl28_161 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f1161,definition,
( spl28_163
<=> r1(sK13(sK9(sK25)),sK5(sK13(sK9(sK25)))) ),
introduced(definition,[new_symbols(definition,[spl28_163])],[avatar_definition]) ).
fof(f1163,plain,
( r1(sK13(sK9(sK25)),sK5(sK13(sK9(sK25))))
| ~ spl28_163 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1165,definition,
( spl28_164
<=> ! [X1] :
( ~ r1(X1,sK9(sK25))
| ~ sP3(X1) ) ),
introduced(definition,[new_symbols(definition,[spl28_164])],[avatar_definition]) ).
fof(f1166,plain,
( ! [X1] :
( ~ r1(X1,sK9(sK25))
| ~ sP3(X1) )
| ~ spl28_164 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1168,definition,
( spl28_165
<=> ! [X0] :
( ~ r1(sK9(sK25),X0)
| p2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl28_165])],[avatar_definition]) ).
fof(f1169,plain,
( ! [X0] :
( ~ r1(sK9(sK25),X0)
| p2(X0) )
| ~ spl28_165 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f1170,plain,
( spl28_163
| spl28_164
| ~ spl28_132
| spl28_165
| ~ spl28_155 ),
inference(avatar_split_clause,[],[f1130,f1120,f1168,f927,f1165,f1161]) ).
fof(f1183,plain,
( ! [X0] :
( ~ r1(X0,sK9(sK25))
| p2(sK6(sK12(sK9(sK25))))
| r1(X0,sK8(X0))
| ~ sP2(X0) )
| ~ spl28_156 ),
inference(resolution,[],[f1126,f33]) ).
fof(f1184,plain,
( ! [X0] :
( ~ r1(X0,sK9(sK25))
| r1(sK12(sK9(sK25)),sK6(sK12(sK9(sK25))))
| r1(X0,sK8(X0))
| ~ sP2(X0) )
| ~ spl28_156 ),
inference(resolution,[],[f1126,f37]) ).
fof(f1196,definition,
( spl28_170
<=> r1(sK12(sK9(sK25)),sK6(sK12(sK9(sK25)))) ),
introduced(definition,[new_symbols(definition,[spl28_170])],[avatar_definition]) ).
fof(f1198,plain,
( r1(sK12(sK9(sK25)),sK6(sK12(sK9(sK25))))
| ~ spl28_170 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f1199,plain,
( spl28_170
| spl28_161
| ~ spl28_156 ),
inference(avatar_split_clause,[],[f1184,f1124,f1152,f1196]) ).
fof(f1201,definition,
( spl28_171
<=> p2(sK6(sK12(sK9(sK25)))) ),
introduced(definition,[new_symbols(definition,[spl28_171])],[avatar_definition]) ).
fof(f1202,plain,
( ~ p2(sK6(sK12(sK9(sK25))))
| spl28_171 ),
inference(avatar_component_clause,[],[f1201]) ).
fof(f1203,plain,
( p2(sK6(sK12(sK9(sK25))))
| ~ spl28_171 ),
inference(avatar_component_clause,[],[f1201]) ).
fof(f1204,plain,
( spl28_171
| spl28_161
| ~ spl28_156 ),
inference(avatar_split_clause,[],[f1183,f1124,f1152,f1201]) ).
fof(f1216,plain,
( ! [X0] :
( ~ r1(X0,sK9(sK25))
| ~ p2(sK6(sK12(sK9(sK25))))
| r1(sK9(sK25),sK13(sK9(sK25)))
| ~ sP0(X0) )
| ~ spl28_170 ),
inference(resolution,[],[f1198,f47]) ).
fof(f1273,plain,
( ! [X0] :
( ~ r1(X0,sK9(sK25))
| r1(sK9(sK25),sK13(sK9(sK25)))
| ~ sP0(X0) )
| ~ spl28_170
| ~ spl28_171 ),
inference(forward_subsumption_resolution,[],[f1216,f1203]) ).
fof(f1274,plain,
( ! [X0] :
( ~ r1(X0,sK9(sK25))
| ~ sP0(X0) )
| spl28_155
| ~ spl28_170
| ~ spl28_171 ),
inference(forward_subsumption_resolution,[],[f1273,f1121]) ).
fof(f1281,plain,
( ~ sP2(sK25)
| r1(sK25,sK8(sK25))
| ~ spl28_134
| ~ spl28_161 ),
inference(resolution,[],[f1153,f938]) ).
fof(f1282,plain,
( r1(sK25,sK8(sK25))
| ~ spl28_134
| ~ spl28_161 ),
inference(forward_subsumption_resolution,[],[f1281,f78]) ).
fof(f1368,definition,
( spl28_201
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK25,X0)
| r1(X1,sK6(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl28_201])],[avatar_definition]) ).
fof(f1369,plain,
( ! [X0,X1] :
( ~ r1(sK25,X0)
| ~ r1(X0,X1)
| r1(X1,sK6(X1)) )
| ~ spl28_201 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f1372,definition,
( spl28_202
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK25,X0)
| p2(sK6(X1)) ) ),
introduced(definition,[new_symbols(definition,[spl28_202])],[avatar_definition]) ).
fof(f1373,plain,
( ! [X0,X1] :
( ~ r1(sK25,X0)
| ~ r1(X0,X1)
| p2(sK6(X1)) )
| ~ spl28_202 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f1630,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK6(X1))
| ~ r1(sK25,X0)
| ~ sP2(sK25) )
| ~ spl28_134
| ~ spl28_161 ),
inference(resolution,[],[f1077,f1282]) ).
fof(f1637,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| r1(X1,sK6(X1))
| ~ r1(sK25,X0) )
| ~ spl28_134
| ~ spl28_161 ),
inference(forward_subsumption_resolution,[],[f1630,f78]) ).
fof(f1638,plain,
( spl28_201
| ~ spl28_134
| ~ spl28_161 ),
inference(avatar_split_clause,[],[f1637,f1152,f936,f1368]) ).
fof(f1639,plain,
( ! [X0] :
( ~ r1(sK9(sK25),X0)
| r1(X0,sK6(X0)) )
| ~ spl28_134
| ~ spl28_201 ),
inference(resolution,[],[f1369,f938]) ).
fof(f2427,definition,
( spl28_378
<=> ! [X1] :
( ~ r1(X1,sK9(sK25))
| ~ sP0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl28_378])],[avatar_definition]) ).
fof(f2428,plain,
( ! [X1] :
( ~ r1(X1,sK9(sK25))
| ~ sP0(X1) )
| ~ spl28_378 ),
inference(avatar_component_clause,[],[f2427]) ).
fof(f2430,definition,
( spl28_379
<=> ! [X0] :
( ~ r1(sK12(sK9(sK25)),X0)
| ~ p2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl28_379])],[avatar_definition]) ).
fof(f2431,plain,
( ! [X0] :
( ~ r1(sK12(sK9(sK25)),X0)
| ~ p2(X0) )
| ~ spl28_379 ),
inference(avatar_component_clause,[],[f2430]) ).
fof(f2451,plain,
( ! [X0,X1] :
( ~ r1(sK12(sK9(sK25)),X0)
| ~ p2(X0)
| ~ r1(X1,sK9(sK25))
| p2(sK14(sK5(sK13(sK9(sK25)))))
| ~ sP0(X1) )
| ~ spl28_163 ),
inference(resolution,[],[f1163,f44]) ).
fof(f2452,plain,
( ! [X0] :
( r1(sK9(sK25),sK12(sK9(sK25)))
| ~ r1(X0,sK9(sK25))
| r1(sK5(sK13(sK9(sK25))),sK14(sK5(sK13(sK9(sK25)))))
| ~ sP0(X0) )
| ~ spl28_163 ),
inference(resolution,[],[f1163,f50]) ).
fof(f2453,plain,
( ! [X0,X1] :
( ~ r1(sK12(sK9(sK25)),X0)
| ~ p2(X0)
| ~ r1(X1,sK9(sK25))
| r1(sK5(sK13(sK9(sK25))),sK14(sK5(sK13(sK9(sK25)))))
| ~ sP0(X1) )
| ~ spl28_163 ),
inference(resolution,[],[f1163,f46]) ).
fof(f2454,plain,
( ! [X0] :
( r1(sK9(sK25),sK12(sK9(sK25)))
| ~ r1(X0,sK9(sK25))
| p2(sK14(sK5(sK13(sK9(sK25)))))
| ~ sP0(X0) )
| ~ spl28_163 ),
inference(resolution,[],[f1163,f48]) ).
fof(f2461,plain,
( ! [X0] :
( ~ r1(X0,sK9(sK25))
| p2(sK14(sK5(sK13(sK9(sK25)))))
| ~ sP0(X0) )
| spl28_156
| ~ spl28_163 ),
inference(forward_subsumption_resolution,[],[f2454,f1125]) ).
fof(f2463,definition,
( spl28_382
<=> r1(sK5(sK13(sK9(sK25))),sK14(sK5(sK13(sK9(sK25))))) ),
introduced(definition,[new_symbols(definition,[spl28_382])],[avatar_definition]) ).
fof(f2465,plain,
( r1(sK5(sK13(sK9(sK25))),sK14(sK5(sK13(sK9(sK25)))))
| ~ spl28_382 ),
inference(avatar_component_clause,[],[f2463]) ).
fof(f2466,plain,
( spl28_382
| spl28_378
| spl28_379
| ~ spl28_163 ),
inference(avatar_split_clause,[],[f2453,f1161,f2430,f2427,f2463]) ).
fof(f2467,plain,
( ! [X0] :
( ~ r1(X0,sK9(sK25))
| r1(sK5(sK13(sK9(sK25))),sK14(sK5(sK13(sK9(sK25)))))
| ~ sP0(X0) )
| spl28_156
| ~ spl28_163 ),
inference(forward_subsumption_resolution,[],[f2452,f1125]) ).
fof(f2469,definition,
( spl28_383
<=> p2(sK14(sK5(sK13(sK9(sK25))))) ),
introduced(definition,[new_symbols(definition,[spl28_383])],[avatar_definition]) ).
fof(f2471,plain,
( p2(sK14(sK5(sK13(sK9(sK25)))))
| ~ spl28_383 ),
inference(avatar_component_clause,[],[f2469]) ).
fof(f2472,plain,
( spl28_383
| spl28_378
| spl28_379
| ~ spl28_163 ),
inference(avatar_split_clause,[],[f2451,f1161,f2430,f2427,f2469]) ).
fof(f2479,plain,
( spl28_383
| spl28_378
| spl28_156
| ~ spl28_163 ),
inference(avatar_split_clause,[],[f2461,f1161,f1124,f2427,f2469]) ).
fof(f2480,plain,
( spl28_382
| spl28_378
| spl28_156
| ~ spl28_163 ),
inference(avatar_split_clause,[],[f2467,f1161,f1124,f2427,f2463]) ).
fof(f2539,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| p2(sK6(X1))
| ~ r1(sK25,X0)
| ~ sP2(sK25) )
| ~ spl28_134
| ~ spl28_161 ),
inference(resolution,[],[f1078,f1282]) ).
fof(f2546,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| p2(sK6(X1))
| ~ r1(sK25,X0) )
| ~ spl28_134
| ~ spl28_161 ),
inference(forward_subsumption_resolution,[],[f2539,f78]) ).
fof(f2547,plain,
( spl28_202
| ~ spl28_134
| ~ spl28_161 ),
inference(avatar_split_clause,[],[f2546,f1152,f936,f1372]) ).
fof(f2548,plain,
( ! [X0] :
( ~ r1(sK9(sK25),X0)
| p2(sK6(X0)) )
| ~ spl28_134
| ~ spl28_202 ),
inference(resolution,[],[f1373,f938]) ).
fof(f2582,plain,
( r1(sK12(sK9(sK25)),sK6(sK12(sK9(sK25))))
| ~ spl28_134
| ~ spl28_156
| ~ spl28_201 ),
inference(resolution,[],[f1126,f1639]) ).
fof(f2591,plain,
( ~ sP3(sK25)
| ~ spl28_134
| ~ spl28_164 ),
inference(resolution,[],[f1166,f938]) ).
fof(f2592,plain,
( $false
| ~ spl28_134
| ~ spl28_164 ),
inference(forward_subsumption_resolution,[],[f2591,f82]) ).
fof(f2593,plain,
( ~ spl28_134
| ~ spl28_164 ),
inference(avatar_contradiction_clause,[],[f2592]) ).
fof(f2691,plain,
( ~ sP0(sK25)
| ~ spl28_134
| ~ spl28_378 ),
inference(resolution,[],[f2428,f938]) ).
fof(f2692,plain,
( $false
| ~ spl28_134
| ~ spl28_378 ),
inference(forward_subsumption_resolution,[],[f2691,f80]) ).
fof(f2693,plain,
( ~ spl28_134
| ~ spl28_378 ),
inference(avatar_contradiction_clause,[],[f2692]) ).
fof(f2696,plain,
( p2(sK9(sK25))
| ~ sP1(sK25)
| p2(sK9(sK25))
| ~ sP1(sK25) ),
inference(resolution,[],[f1075,f39]) ).
fof(f2697,plain,
( p2(sK9(sK25))
| ~ sP1(sK25) ),
inference(duplicate_literal_removal,[],[f2696]) ).
fof(f2699,plain,
( ~ sP1(sK25)
| spl28_132 ),
inference(forward_subsumption_resolution,[],[f2697,f928]) ).
fof(f2701,plain,
( $false
| spl28_132 ),
inference(forward_subsumption_resolution,[],[f2699,f76]) ).
fof(f2702,plain,
spl28_132,
inference(avatar_contradiction_clause,[],[f2701]) ).
fof(f2713,plain,
( p2(sK26(sK9(sK25)))
| ~ r1(sK25,sK9(sK25))
| ~ spl28_165 ),
inference(resolution,[],[f1169,f55]) ).
fof(f2714,plain,
( ~ r1(sK25,sK9(sK25))
| ~ spl28_165 ),
inference(forward_subsumption_resolution,[],[f2713,f54]) ).
fof(f2717,plain,
( $false
| ~ spl28_134
| ~ spl28_165 ),
inference(forward_subsumption_resolution,[],[f2714,f938]) ).
fof(f2718,plain,
( ~ spl28_134
| ~ spl28_165 ),
inference(avatar_contradiction_clause,[],[f2717]) ).
fof(f2786,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ p2(X0)
| ~ r1(X0,sK13(sK9(sK25)))
| ~ r1(X2,X0)
| ~ p2(sK14(sK5(sK13(sK9(sK25)))))
| ~ sP3(X2) )
| ~ spl28_382 ),
inference(resolution,[],[f2465,f28]) ).
fof(f2793,plain,
( ! [X2,X0,X1] :
( ~ r1(X0,sK13(sK9(sK25)))
| p2(X1)
| ~ p2(X0)
| ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP3(X2) )
| ~ spl28_382
| ~ spl28_383 ),
inference(forward_subsumption_resolution,[],[f2786,f2471]) ).
fof(f4515,plain,
( ! [X0,X1] :
( p2(X0)
| ~ p2(sK9(sK25))
| ~ r1(sK9(sK25),X0)
| ~ r1(X1,sK9(sK25))
| ~ sP3(X1) )
| ~ spl28_155
| ~ spl28_382
| ~ spl28_383 ),
inference(resolution,[],[f2793,f1122]) ).
fof(f4516,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK9(sK25),X0)
| ~ r1(X1,sK9(sK25))
| ~ sP3(X1) )
| ~ spl28_132
| ~ spl28_155
| ~ spl28_382
| ~ spl28_383 ),
inference(forward_subsumption_resolution,[],[f4515,f929]) ).
fof(f4517,plain,
( spl28_164
| spl28_165
| ~ spl28_132
| ~ spl28_155
| ~ spl28_382
| ~ spl28_383 ),
inference(avatar_split_clause,[],[f4516,f2469,f2463,f1120,f927,f1168,f1165]) ).
fof(f4518,plain,
( spl28_170
| ~ spl28_134
| ~ spl28_156
| ~ spl28_201 ),
inference(avatar_split_clause,[],[f2582,f1368,f1124,f936,f1196]) ).
fof(f4520,plain,
( p2(sK6(sK12(sK9(sK25))))
| ~ spl28_134
| ~ spl28_156
| ~ spl28_202 ),
inference(resolution,[],[f1126,f2548]) ).
fof(f4566,plain,
( ~ p2(sK6(sK12(sK9(sK25))))
| ~ spl28_170
| ~ spl28_379 ),
inference(resolution,[],[f1198,f2431]) ).
fof(f4574,plain,
( $false
| ~ spl28_170
| ~ spl28_171
| ~ spl28_379 ),
inference(forward_subsumption_resolution,[],[f4566,f1203]) ).
fof(f4575,plain,
( ~ spl28_170
| ~ spl28_171
| ~ spl28_379 ),
inference(avatar_contradiction_clause,[],[f4574]) ).
fof(f4578,plain,
( $false
| ~ spl28_134
| ~ spl28_156
| spl28_171
| ~ spl28_202 ),
inference(forward_subsumption_resolution,[],[f4520,f1202]) ).
fof(f4579,plain,
( ~ spl28_134
| ~ spl28_156
| spl28_171
| ~ spl28_202 ),
inference(avatar_contradiction_clause,[],[f4578]) ).
fof(f4580,plain,
( spl28_378
| spl28_155
| ~ spl28_170
| ~ spl28_171 ),
inference(avatar_split_clause,[],[f1274,f1201,f1196,f1120,f2427]) ).
cnf(s84,plain,
spl28_134,
inference(sat_conversion,[],[f1089]) ).
cnf(s90,plain,
( ~ spl28_134
| spl28_155
| spl28_156 ),
inference(sat_conversion,[],[f1127]) ).
cnf(s94,plain,
( ~ spl28_132
| ~ spl28_155
| spl28_163
| spl28_164
| spl28_165 ),
inference(sat_conversion,[],[f1170]) ).
cnf(s98,plain,
( ~ spl28_156
| spl28_161
| spl28_170 ),
inference(sat_conversion,[],[f1199]) ).
cnf(s99,plain,
( ~ spl28_156
| spl28_161
| spl28_171 ),
inference(sat_conversion,[],[f1204]) ).
cnf(s149,plain,
( ~ spl28_134
| ~ spl28_161
| spl28_201 ),
inference(sat_conversion,[],[f1638]) ).
cnf(s243,plain,
( ~ spl28_163
| spl28_378
| spl28_379
| spl28_382 ),
inference(sat_conversion,[],[f2466]) ).
cnf(s244,plain,
( ~ spl28_163
| spl28_378
| spl28_379
| spl28_383 ),
inference(sat_conversion,[],[f2472]) ).
cnf(s246,plain,
( spl28_156
| ~ spl28_163
| spl28_378
| spl28_383 ),
inference(sat_conversion,[],[f2479]) ).
cnf(s247,plain,
( spl28_156
| ~ spl28_163
| spl28_378
| spl28_382 ),
inference(sat_conversion,[],[f2480]) ).
cnf(s255,plain,
( ~ spl28_134
| ~ spl28_161
| spl28_202 ),
inference(sat_conversion,[],[f2547]) ).
cnf(s260,plain,
( ~ spl28_134
| ~ spl28_164 ),
inference(sat_conversion,[],[f2593]) ).
cnf(s271,plain,
( ~ spl28_134
| ~ spl28_378 ),
inference(sat_conversion,[],[f2693]) ).
cnf(s272,plain,
spl28_132,
inference(sat_conversion,[],[f2702]) ).
cnf(s275,plain,
( ~ spl28_134
| ~ spl28_165 ),
inference(sat_conversion,[],[f2718]) ).
cnf(s471,plain,
( ~ spl28_132
| ~ spl28_155
| spl28_164
| spl28_165
| ~ spl28_382
| ~ spl28_383 ),
inference(sat_conversion,[],[f4517]) ).
cnf(s472,plain,
( ~ spl28_134
| ~ spl28_156
| spl28_170
| ~ spl28_201 ),
inference(sat_conversion,[],[f4518]) ).
cnf(s477,plain,
( ~ spl28_170
| ~ spl28_171
| ~ spl28_379 ),
inference(sat_conversion,[],[f4575]) ).
cnf(s479,plain,
( ~ spl28_134
| ~ spl28_156
| spl28_171
| ~ spl28_202 ),
inference(sat_conversion,[],[f4579]) ).
cnf(s480,plain,
( spl28_155
| ~ spl28_170
| ~ spl28_171
| spl28_378 ),
inference(sat_conversion,[],[f4580]) ).
cnf(s485,plain,
( ~ spl28_155
| spl28_163
| spl28_164
| spl28_165 ),
inference(rat,[],[s94,s272]) ).
cnf(s486,plain,
~ spl28_165,
inference(rat,[],[s275,s84]) ).
cnf(s487,plain,
~ spl28_378,
inference(rat,[],[s271,s84]) ).
cnf(s488,plain,
~ spl28_164,
inference(rat,[],[s260,s84]) ).
cnf(s489,plain,
( spl28_155
| spl28_161 ),
inference(rat,[],[s480,s99,s98,s90,s487,s84]) ).
cnf(s490,plain,
( spl28_379
| ~ spl28_155 ),
inference(rat,[],[s471,s243,s244,s485,s272,s486,s488,s487]) ).
cnf(s491,plain,
( ~ spl28_156
| spl28_161 ),
inference(rat,[],[s477,s99,s98,s490,s489]) ).
cnf(s492,plain,
spl28_161,
inference(rat,[],[s471,s246,s247,s491,s485,s489,s272,s486,s488,s487]) ).
cnf(s493,plain,
spl28_202,
inference(rat,[],[s255,s84,s492]) ).
cnf(s494,plain,
spl28_201,
inference(rat,[],[s149,s84,s492]) ).
cnf(s496,plain,
( ~ spl28_170
| ~ spl28_171 ),
inference(rat,[],[s490,s477,s480,s487]) ).
cnf(s497,plain,
~ spl28_156,
inference(rat,[],[s496,s472,s479,s84,s494,s493]) ).
cnf(s498,plain,
spl28_155,
inference(rat,[],[s90,s84,s497]) ).
cnf(s499,plain,
spl28_163,
inference(rat,[],[s485,s486,s488,s498]) ).
cnf(s504,plain,
spl28_382,
inference(rat,[],[s247,s497,s487,s499]) ).
cnf(s505,plain,
spl28_383,
inference(rat,[],[s246,s497,s487,s499]) ).
cnf(s509,plain,
$false,
inference(rat,[],[s471,s498,s488,s486,s272,s505,s504]) ).
fof(f4586,plain,
$false,
inference(avatar_sat_refutation,[],[s509]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL652+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n016.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 16:21:47 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 5.24/1.82 % (2821000)Detected formulas, will run a generic FOF schedule.
% 5.24/1.82 % (2821005)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=2505676558:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.24/1.82 % (2821006)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=1460219523:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.24/1.82 % (2821010)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2783007122:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.24/1.82 % (2821008)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1546033568:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.24/1.82 % (2821009)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=80841296:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.24/1.82 % (2821007)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=1390918318:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.24/1.82 % (2821011)dis-21_1_sil=8000:lcm=predicate:random_seed=38898776:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.24/1.82 % (2821008)Instruction limit reached!
% 5.24/1.82 % (2821008)------------------------------
% 5.24/1.82 % (2821008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.82 % (2821008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.82 % (2821008)CaDiCaL version: 2.1.3
% 5.24/1.82 % (2821008)Termination reason: Instruction limit
% 5.24/1.82 % (2821008)Termination phase: Saturation
% 5.24/1.82 % (2821008)Time elapsed: 0.061 s
% 5.24/1.82 % (2821008)Peak memory usage: 90 MB
% 5.24/1.82 % (2821008)Instructions burned: 111 (million)
% 5.24/1.82 % (2821009)Instruction limit reached!
% 5.24/1.82 % (2821009)------------------------------
% 5.24/1.82 % (2821009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.82 % (2821009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.82 % (2821009)CaDiCaL version: 2.1.3
% 5.24/1.82 % (2821009)Termination reason: Instruction limit
% 5.24/1.82 % (2821009)Termination phase: Saturation
% 5.24/1.82 % (2821009)Time elapsed: 0.063 s
% 5.24/1.82 % (2821009)Peak memory usage: 88 MB
% 5.24/1.82 % (2821009)Instructions burned: 121 (million)
% 5.24/1.82 % (2821011)Instruction limit reached!
% 5.24/1.82 % (2821011)------------------------------
% 5.24/1.82 % (2821011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.82 % (2821011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.82 % (2821011)CaDiCaL version: 2.1.3
% 5.24/1.82 % (2821011)Termination reason: Instruction limit
% 5.24/1.82 % (2821011)Termination phase: Saturation
% 5.24/1.82 % (2821011)Time elapsed: 0.067 s
% 5.24/1.82 % (2821011)Peak memory usage: 88 MB
% 5.24/1.82 % (2821011)Instructions burned: 131 (million)
% 5.24/1.82 % (2821010)Instruction limit reached!
% 5.24/1.82 % (2821010)------------------------------
% 5.24/1.82 % (2821010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.82 % (2821010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.82 % (2821010)CaDiCaL version: 2.1.3
% 5.24/1.82 % (2821010)Termination reason: Instruction limit
% 5.24/1.82 % (2821010)Termination phase: Saturation
% 5.24/1.82 % (2821010)Time elapsed: 0.073 s
% 5.24/1.82 % (2821010)Peak memory usage: 88 MB
% 5.24/1.82 % (2821010)Instructions burned: 141 (million)
% 5.24/1.82 % (2821019)lrs+10_1_sil=8000:sp=occurrence:random_seed=1870816041:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.24/1.82 % (2821022)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=1283489244:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.24/1.82 % (2821020)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3553945122:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.24/1.82 % (2821021)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4078377083:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.24/1.82 % (2821020)Refutation not found, incomplete strategy
% 5.24/1.82 % (2821020)------------------------------
% 5.24/1.82 % (2821020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.82 % (2821020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.82 % (2821020)CaDiCaL version: 2.1.3
% 5.24/1.82 % (2821020)Termination reason: Refutation not found, incomplete strategy
% 5.24/1.82 % (2821020)Time elapsed: 0.005 s
% 5.24/1.82 % (2821020)Peak memory usage: 88 MB
% 5.24/1.82 % (2821020)Instructions burned: 7 (million)
% 5.24/1.82 % (2821022)Refutation not found, incomplete strategy
% 5.24/1.82 % (2821022)------------------------------
% 5.24/1.82 % (2821022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.82 % (2821022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.82 % (2821022)CaDiCaL version: 2.1.3
% 5.24/1.82 % (2821022)Termination reason: Refutation not found, incomplete strategy
% 5.24/1.82 % (2821022)Time elapsed: 0.005 s
% 5.24/1.82 % (2821022)Peak memory usage: 88 MB
% 5.24/1.82 % (2821022)Instructions burned: 7 (million)
% 5.24/1.82 % (2821019)Instruction limit reached!
% 5.24/1.82 % (2821019)------------------------------
% 5.24/1.82 % (2821019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.82 % (2821019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.82 % (2821019)CaDiCaL version: 2.1.3
% 5.24/1.82 % (2821019)Termination reason: Instruction limit
% 5.24/1.82 % (2821019)Termination phase: Saturation
% 5.24/1.82 % (2821019)Time elapsed: 0.159 s
% 5.24/1.82 % (2821019)Peak memory usage: 93 MB
% 5.24/1.82 % (2821019)Instructions burned: 285 (million)
% 5.24/1.82 % (2821021)Instruction limit reached!
% 5.24/1.82 % (2821021)------------------------------
% 5.24/1.82 % (2821021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.82 % (2821021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.82 % (2821021)CaDiCaL version: 2.1.3
% 5.24/1.82 % (2821021)Termination reason: Instruction limit
% 5.24/1.82 % (2821021)Termination phase: Saturation
% 5.24/1.82 % (2821021)Time elapsed: 0.157 s
% 5.24/1.82 % (2821021)Peak memory usage: 90 MB
% 5.24/1.82 % (2821021)Instructions burned: 326 (million)
% 5.24/1.82 % (2821022)------------------------------
% 5.24/1.82 % (2821022)------------------------------
% 5.24/1.82 % (2821020)------------------------------
% 5.24/1.82 % (2821020)------------------------------
% 5.24/1.82 % (2821027)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2710213003:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.24/1.82 % (2821028)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1756118587:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.24/1.82 % (2821005)First to succeed.
% 5.24/1.82 % (2821005)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2821000"
% 5.24/1.82 % (2821029)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2097619721:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.24/1.82 % (2821030)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4047532749:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.24/1.82 % (2821027)Instruction limit reached!
% 5.24/1.82 % (2821027)------------------------------
% 5.24/1.82 % (2821027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.82 % (2821027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.82 % (2821027)CaDiCaL version: 2.1.3
% 5.24/1.82 % (2821027)Termination reason: Instruction limit
% 5.24/1.82 % (2821027)Termination phase: Saturation
% 5.24/1.82 % (2821027)Time elapsed: 0.151 s
% 5.24/1.82 % (2821027)Peak memory usage: 89 MB
% 5.24/1.82 % (2821027)Instructions burned: 294 (million)
% 5.24/1.82 % (2821029)Instruction limit reached!
% 5.24/1.82 % (2821029)------------------------------
% 5.24/1.82 % (2821029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.82 % (2821029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.82 % (2821029)CaDiCaL version: 2.1.3
% 5.24/1.82 % (2821029)Termination reason: Instruction limit
% 5.24/1.82 % (2821029)Termination phase: Saturation
% 5.24/1.82 % (2821029)Time elapsed: 0.068 s
% 5.24/1.82 % (2821029)Peak memory usage: 91 MB
% 5.24/1.82 % (2821029)Instructions burned: 114 (million)
% 5.24/1.82 % (2821030)Instruction limit reached!
% 5.24/1.82 % (2821030)------------------------------
% 5.24/1.82 % (2821030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.82 % (2821030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.82 % (2821030)CaDiCaL version: 2.1.3
% 5.24/1.82 % (2821030)Termination reason: Instruction limit
% 5.24/1.82 % (2821030)Termination phase: Saturation
% 5.24/1.82 % (2821030)Time elapsed: 0.071 s
% 5.24/1.82 % (2821030)Peak memory usage: 89 MB
% 5.24/1.82 % (2821030)Instructions burned: 127 (million)
% 5.24/1.82 % (2821035)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=124941412:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 5.24/1.82 % (2821037)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2864332195:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 5.24/1.82 % (2821036)lrs+10_1_sil=8000:sp=occurrence:random_seed=1153559164:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 5.24/1.82 % (2821005)Refutation found. Thanks to Tanya!
% 5.24/1.82 % SZS status Theorem for theBenchmark
% 5.24/1.82 % SZS output start Proof for theBenchmark
% See solution above
% 7.24/1.91 % (2821005)------------------------------
% 7.24/1.91 % (2821005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.24/1.91 % (2821005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.91 % (2821005)CaDiCaL version: 2.1.3
% 7.24/1.91 % (2821005)Termination reason: Refutation
% 7.24/1.91 % (2821005)Time elapsed: 0.589 s
% 7.24/1.91 % (2821005)Peak memory usage: 133 MB
% 7.24/1.91 % (2821005)Instructions burned: 1207 (million)
% 7.24/1.91 % (2821005)------------------------------
% 7.24/1.91 % (2821005)------------------------------
% 7.24/1.91 % (2821000)Success in time 0.954 s
% 7.24/1.91 % Vampire exiting
%------------------------------------------------------------------------------