%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL640+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n011.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 : Fri Sep 25 02:07:00 PM UTC 2026
% Result : Theorem 1.32s 1.74s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 204 ( 13 unt; 4 def)
% Number of atoms : 2124 ( 0 equ)
% Maximal formula atoms : 121 ( 10 avg)
% Number of connectives : 3389 (1497 ~;1595 |; 297 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 6 con; 0-1 aty)
% Number of variables : 966 ( 0 sgn 841 !; 125 ?; 214 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X63] :
( ( ! [X69] :
( ~ ! [X72] :
( p1(X72)
| ~ r1(X69,X72) )
| ! [X70] :
( ! [X71] :
( p1(X71)
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X63,X69) )
& ( ~ ! [X66] :
( ~ ! [X67] :
( ~ p1(X67)
| ! [X68] :
( p1(X68)
| ~ r1(X67,X68) )
| ~ r1(X66,X67) )
| p1(X66)
| ~ r1(X63,X66) )
| ! [X64] :
( ~ ! [X65] :
( p1(X65)
| ~ r1(X64,X65) )
| ~ r1(X63,X64) )
| p1(X63) ) )
| ~ r1(X0,X63) )
& ! [X52] :
( ! [X53] :
( ( ! [X59] :
( ~ ! [X62] :
( p1(X62)
| ~ r1(X59,X62) )
| ! [X60] :
( ! [X61] :
( p1(X61)
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X53,X59) )
& ( ~ ! [X56] :
( ~ ! [X57] :
( ~ p1(X57)
| ! [X58] :
( p1(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p1(X56)
| ~ r1(X53,X56) )
| ! [X54] :
( ~ ! [X55] :
( p1(X55)
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| p1(X53) ) )
| ~ r1(X52,X53) )
| ~ r1(X0,X52) )
& ~ ! [X43] :
( ! [X44] :
( ! [X45] :
( ~ ! [X49] :
( ~ ! [X50] :
( ~ p1(X50)
| ! [X51] :
( p1(X51)
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| p1(X49)
| ~ r1(X45,X49) )
| ! [X47] :
( ~ ! [X48] :
( p1(X48)
| ~ r1(X47,X48) )
| ~ r1(X45,X47) )
| ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X0,X43) ) )
| ~ ! [X14] :
( ! [X15] :
( ! [X16] :
( ( ( ~ ! [X40] :
( ~ ! [X41] :
( ~ p1(X41)
| ! [X42] :
( p1(X42)
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| p1(X40)
| ~ r1(X16,X40) )
| ! [X36] :
( ! [X37] :
( ~ ! [X38] :
( ~ p1(X38)
| ! [X39] :
( p1(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
| ~ r1(X16,X36) ) )
& ! [X32] :
( ~ ! [X35] :
( p1(X35)
| ~ r1(X32,X35) )
| ! [X33] :
( ! [X34] :
( p1(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| ~ r1(X16,X32) )
& ( ~ ! [X29] :
( ~ ! [X30] :
( ~ p1(X30)
| ! [X31] :
( p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| p1(X29)
| ~ r1(X16,X29) )
| ! [X27] :
( ~ ! [X28] :
( p1(X28)
| ~ r1(X27,X28) )
| ~ r1(X16,X27) )
| p1(X16) )
& ( ~ ! [X21] :
( ~ ! [X23] :
( ~ ( ~ p1(X23)
| ! [X26] :
( p1(X26)
| ~ r1(X23,X26) ) )
| ! [X24] :
( ~ p1(X24)
| ! [X25] :
( p1(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X21,X23) )
| ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X16,X21) )
| ! [X18] :
( ~ ! [X19] :
( ~ p1(X19)
| ! [X20] :
( p1(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X16,X18) )
| ~ p1(X16)
| ! [X17] :
( p1(X17)
| ~ r1(X16,X17) ) ) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X0,X14) )
| ~ ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ! [X10] :
( ~ ! [X13] :
( p1(X13)
| ~ r1(X10,X13) )
| ! [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X4,X10) )
& ( ~ ! [X7] :
( ~ ! [X8] :
( ~ p1(X8)
| ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| p1(X7)
| ~ r1(X4,X7) )
| ! [X5] :
( ~ ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| p1(X4) ) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ( ! [X63] :
( ( ! [X69] :
( ~ ! [X72] :
( p1(X72)
| ~ r1(X69,X72) )
| ! [X70] :
( ! [X71] :
( p1(X71)
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X63,X69) )
& ( ~ ! [X66] :
( ~ ! [X67] :
( ~ p1(X67)
| ! [X68] :
( p1(X68)
| ~ r1(X67,X68) )
| ~ r1(X66,X67) )
| p1(X66)
| ~ r1(X63,X66) )
| ! [X64] :
( ~ ! [X65] :
( p1(X65)
| ~ r1(X64,X65) )
| ~ r1(X63,X64) )
| p1(X63) ) )
| ~ r1(X0,X63) )
& ! [X52] :
( ! [X53] :
( ( ! [X59] :
( ~ ! [X62] :
( p1(X62)
| ~ r1(X59,X62) )
| ! [X60] :
( ! [X61] :
( p1(X61)
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X53,X59) )
& ( ~ ! [X56] :
( ~ ! [X57] :
( ~ p1(X57)
| ! [X58] :
( p1(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p1(X56)
| ~ r1(X53,X56) )
| ! [X54] :
( ~ ! [X55] :
( p1(X55)
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| p1(X53) ) )
| ~ r1(X52,X53) )
| ~ r1(X0,X52) )
& ~ ! [X43] :
( ! [X44] :
( ! [X45] :
( ~ ! [X49] :
( ~ ! [X50] :
( ~ p1(X50)
| ! [X51] :
( p1(X51)
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| p1(X49)
| ~ r1(X45,X49) )
| ! [X47] :
( ~ ! [X48] :
( p1(X48)
| ~ r1(X47,X48) )
| ~ r1(X45,X47) )
| ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| ~ r1(X0,X43) ) )
| ~ ! [X14] :
( ! [X15] :
( ! [X16] :
( ( ( ~ ! [X40] :
( ~ ! [X41] :
( ~ p1(X41)
| ! [X42] :
( p1(X42)
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| p1(X40)
| ~ r1(X16,X40) )
| ! [X36] :
( ! [X37] :
( ~ ! [X38] :
( ~ p1(X38)
| ! [X39] :
( p1(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
| ~ r1(X16,X36) ) )
& ! [X32] :
( ~ ! [X35] :
( p1(X35)
| ~ r1(X32,X35) )
| ! [X33] :
( ! [X34] :
( p1(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| ~ r1(X16,X32) )
& ( ~ ! [X29] :
( ~ ! [X30] :
( ~ p1(X30)
| ! [X31] :
( p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| p1(X29)
| ~ r1(X16,X29) )
| ! [X27] :
( ~ ! [X28] :
( p1(X28)
| ~ r1(X27,X28) )
| ~ r1(X16,X27) )
| p1(X16) )
& ( ~ ! [X21] :
( ~ ! [X23] :
( ~ ( ~ p1(X23)
| ! [X26] :
( p1(X26)
| ~ r1(X23,X26) ) )
| ! [X24] :
( ~ p1(X24)
| ! [X25] :
( p1(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X21,X23) )
| ~ p1(X21)
| ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X16,X21) )
| ! [X18] :
( ~ ! [X19] :
( ~ p1(X19)
| ! [X20] :
( p1(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X16,X18) )
| ~ p1(X16)
| ! [X17] :
( p1(X17)
| ~ r1(X16,X17) ) ) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X0,X14) )
| ~ ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ! [X10] :
( ~ ! [X13] :
( p1(X13)
| ~ r1(X10,X13) )
| ! [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X4,X10) )
& ( ~ ! [X7] :
( ~ ! [X8] :
( ~ p1(X8)
| ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| p1(X7)
| ~ r1(X4,X7) )
| ! [X5] :
( ~ ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| p1(X4) ) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
( ! [X63] :
( ( ! [X69] :
( ? [X72] :
( ~ p1(X72)
& r1(X69,X72) )
| ! [X70] :
( ! [X71] :
( p1(X71)
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X63,X69) )
& ( ? [X66] :
( ! [X67] :
( ~ p1(X67)
| ! [X68] :
( p1(X68)
| ~ r1(X67,X68) )
| ~ r1(X66,X67) )
& ~ p1(X66)
& r1(X63,X66) )
| ! [X64] :
( ? [X65] :
( ~ p1(X65)
& r1(X64,X65) )
| ~ r1(X63,X64) )
| p1(X63) ) )
| ~ r1(X0,X63) )
& ! [X52] :
( ! [X53] :
( ( ! [X59] :
( ? [X62] :
( ~ p1(X62)
& r1(X59,X62) )
| ! [X60] :
( ! [X61] :
( p1(X61)
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X53,X59) )
& ( ? [X56] :
( ! [X57] :
( ~ p1(X57)
| ! [X58] :
( p1(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
& ~ p1(X56)
& r1(X53,X56) )
| ! [X54] :
( ? [X55] :
( ~ p1(X55)
& r1(X54,X55) )
| ~ r1(X53,X54) )
| p1(X53) ) )
| ~ r1(X52,X53) )
| ~ r1(X0,X52) )
& ? [X43] :
( ? [X44] :
( ? [X45] :
( ! [X49] :
( ? [X50] :
( p1(X50)
& ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
& r1(X49,X50) )
| p1(X49)
| ~ r1(X45,X49) )
& ? [X47] :
( ! [X48] :
( p1(X48)
| ~ r1(X47,X48) )
& r1(X45,X47) )
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
& r1(X43,X44) )
& r1(X0,X43) )
& ! [X14] :
( ! [X15] :
( ! [X16] :
( ( ( ? [X40] :
( ! [X41] :
( ~ p1(X41)
| ! [X42] :
( p1(X42)
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
& ~ p1(X40)
& r1(X16,X40) )
| ! [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
| ~ r1(X16,X36) ) )
& ! [X32] :
( ? [X35] :
( ~ p1(X35)
& r1(X32,X35) )
| ! [X33] :
( ! [X34] :
( p1(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| ~ r1(X16,X32) )
& ( ? [X29] :
( ! [X30] :
( ~ p1(X30)
| ! [X31] :
( p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
& ~ p1(X29)
& r1(X16,X29) )
| ! [X27] :
( ? [X28] :
( ~ p1(X28)
& r1(X27,X28) )
| ~ r1(X16,X27) )
| p1(X16) )
& ( ? [X21] :
( ! [X23] :
( ( p1(X23)
& ? [X26] :
( ~ p1(X26)
& r1(X23,X26) ) )
| ! [X24] :
( ~ p1(X24)
| ! [X25] :
( p1(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X21,X23) )
& p1(X21)
& ? [X22] :
( ~ p1(X22)
& r1(X21,X22) )
& r1(X16,X21) )
| ! [X18] :
( ? [X19] :
( p1(X19)
& ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
& r1(X18,X19) )
| ~ r1(X16,X18) )
| ~ p1(X16)
| ! [X17] :
( p1(X17)
| ~ r1(X16,X17) ) ) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X0,X14) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ! [X10] :
( ? [X13] :
( ~ p1(X13)
& r1(X10,X13) )
| ! [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X4,X10) )
& ( ? [X7] :
( ! [X8] :
( ~ p1(X8)
| ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
& ~ p1(X7)
& r1(X4,X7) )
| ! [X5] :
( ? [X6] :
( ~ p1(X6)
& r1(X5,X6) )
| ~ r1(X4,X5) )
| p1(X4) ) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ! [X63] :
( ( ! [X69] :
( ? [X72] :
( ~ p1(X72)
& r1(X69,X72) )
| ! [X70] :
( ! [X71] :
( p1(X71)
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X63,X69) )
& ( ? [X66] :
( ! [X67] :
( ~ p1(X67)
| ! [X68] :
( p1(X68)
| ~ r1(X67,X68) )
| ~ r1(X66,X67) )
& ~ p1(X66)
& r1(X63,X66) )
| ! [X64] :
( ? [X65] :
( ~ p1(X65)
& r1(X64,X65) )
| ~ r1(X63,X64) )
| p1(X63) ) )
| ~ r1(X0,X63) )
& ! [X52] :
( ! [X53] :
( ( ! [X59] :
( ? [X62] :
( ~ p1(X62)
& r1(X59,X62) )
| ! [X60] :
( ! [X61] :
( p1(X61)
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X53,X59) )
& ( ? [X56] :
( ! [X57] :
( ~ p1(X57)
| ! [X58] :
( p1(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
& ~ p1(X56)
& r1(X53,X56) )
| ! [X54] :
( ? [X55] :
( ~ p1(X55)
& r1(X54,X55) )
| ~ r1(X53,X54) )
| p1(X53) ) )
| ~ r1(X52,X53) )
| ~ r1(X0,X52) )
& ? [X43] :
( ? [X44] :
( ? [X45] :
( ! [X49] :
( ? [X50] :
( p1(X50)
& ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
& r1(X49,X50) )
| p1(X49)
| ~ r1(X45,X49) )
& ? [X47] :
( ! [X48] :
( p1(X48)
| ~ r1(X47,X48) )
& r1(X45,X47) )
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
& r1(X43,X44) )
& r1(X0,X43) )
& ! [X14] :
( ! [X15] :
( ! [X16] :
( ( ( ? [X40] :
( ! [X41] :
( ~ p1(X41)
| ! [X42] :
( p1(X42)
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
& ~ p1(X40)
& r1(X16,X40) )
| ! [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
| ~ r1(X16,X36) ) )
& ! [X32] :
( ? [X35] :
( ~ p1(X35)
& r1(X32,X35) )
| ! [X33] :
( ! [X34] :
( p1(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| ~ r1(X16,X32) )
& ( ? [X29] :
( ! [X30] :
( ~ p1(X30)
| ! [X31] :
( p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
& ~ p1(X29)
& r1(X16,X29) )
| ! [X27] :
( ? [X28] :
( ~ p1(X28)
& r1(X27,X28) )
| ~ r1(X16,X27) )
| p1(X16) )
& ( ? [X21] :
( ! [X23] :
( ( p1(X23)
& ? [X26] :
( ~ p1(X26)
& r1(X23,X26) ) )
| ! [X24] :
( ~ p1(X24)
| ! [X25] :
( p1(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X21,X23) )
& p1(X21)
& ? [X22] :
( ~ p1(X22)
& r1(X21,X22) )
& r1(X16,X21) )
| ! [X18] :
( ? [X19] :
( p1(X19)
& ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
& r1(X18,X19) )
| ~ r1(X16,X18) )
| ~ p1(X16)
| ! [X17] :
( p1(X17)
| ~ r1(X16,X17) ) ) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X0,X14) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ! [X10] :
( ? [X13] :
( ~ p1(X13)
& r1(X10,X13) )
| ! [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X4,X10) )
& ( ? [X7] :
( ! [X8] :
( ~ p1(X8)
| ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
& ~ p1(X7)
& r1(X4,X7) )
| ! [X5] :
( ? [X6] :
( ~ p1(X6)
& r1(X5,X6) )
| ~ r1(X4,X5) )
| p1(X4) ) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(flattening,[],[f5]) ).
fof(f12,plain,
! [X16] :
( ~ sP3(X16)
| sP1(X16)
| ! [X18] :
( ? [X19] :
( p1(X19)
& ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
& r1(X18,X19) )
| ~ r1(X16,X18) )
| ~ p1(X16)
| ! [X17] :
( p1(X17)
| ~ r1(X16,X17) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f13,plain,
! [X0] :
( ~ sP3(X0)
| sP1(X0)
| ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| ~ r1(X0,X2) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f12]) ).
fof(f14,plain,
! [X0] :
( ~ sP3(X0)
| sP1(X0)
| ! [X2] :
( ( p1(sK4(X2))
& ~ p1(sK5(X2))
& r1(sK4(X2),sK5(X2))
& r1(X2,sK4(X2)) )
| ~ r1(X0,X2) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X3,sK4(X2)),skolemize(X4,sK5(X2))],[f13]) ).
fof(f15,plain,
! [X16] :
( ~ sP2(X16)
| ? [X29] :
( ! [X30] :
( ~ p1(X30)
| ! [X31] :
( p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
& ~ p1(X29)
& r1(X16,X29) )
| ! [X27] :
( ? [X28] :
( ~ p1(X28)
& r1(X27,X28) )
| ~ r1(X16,X27) )
| p1(X16) ),
inference(nnf_transformation,[],[f9]) ).
fof(f16,plain,
! [X0] :
( ~ sP2(X0)
| ? [X3] :
( ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
& ~ p1(X3)
& r1(X0,X3) )
| ! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) )
| p1(X0) ),
inference(rectify,[],[f15]) ).
fof(f17,plain,
! [X0] :
( ~ sP2(X0)
| ( ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(sK7(X0),X4) )
& ~ p1(sK7(X0))
& r1(X0,sK7(X0)) )
| ! [X1] :
( ( ~ p1(sK6(X1))
& r1(X1,sK6(X1)) )
| ~ r1(X0,X1) )
| p1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X2,sK6(X1)),skolemize(X3,sK7(X0))],[f16]) ).
fof(f18,plain,
! [X16] :
( ~ sP1(X16)
| ? [X21] :
( ! [X23] :
( ( p1(X23)
& ? [X26] :
( ~ p1(X26)
& r1(X23,X26) ) )
| ! [X24] :
( ~ p1(X24)
| ! [X25] :
( p1(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X21,X23) )
& p1(X21)
& ? [X22] :
( ~ p1(X22)
& r1(X21,X22) )
& r1(X16,X21) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f19,plain,
! [X0] :
( ~ sP1(X0)
| ? [X1] :
( ! [X3] :
( ( p1(X3)
& ? [X6] :
( ~ p1(X6)
& r1(X3,X6) ) )
| ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
& p1(X1)
& ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
& r1(X0,X1) ) ),
inference(rectify,[],[f18]) ).
fof(f20,plain,
! [X0] :
( ~ sP1(X0)
| ( ! [X3] :
( ( p1(X3)
& ~ p1(sK10(X3))
& r1(X3,sK10(X3)) )
| ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(sK8(X0),X3) )
& p1(sK8(X0))
& ~ p1(sK9(X0))
& r1(sK8(X0),sK9(X0))
& r1(X0,sK8(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X1,sK8(X0)),skolemize(X2,sK9(X0)),skolemize(X6,sK10(X3))],[f19]) ).
fof(f24,plain,
? [X0] :
( ! [X44] :
( ( ! [X50] :
( ? [X53] :
( ~ p1(X53)
& r1(X50,X53) )
| ! [X51] :
( ! [X52] :
( p1(X52)
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
| ~ r1(X44,X50) )
& ( ? [X47] :
( ! [X48] :
( ~ p1(X48)
| ! [X49] :
( p1(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p1(X47)
& r1(X44,X47) )
| ! [X45] :
( ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
| ~ r1(X44,X45) )
| p1(X44) ) )
| ~ r1(X0,X44) )
& ! [X33] :
( ! [X34] :
( ( ! [X40] :
( ? [X43] :
( ~ p1(X43)
& r1(X40,X43) )
| ! [X41] :
( ! [X42] :
( p1(X42)
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X34,X40) )
& ( ? [X37] :
( ! [X38] :
( ~ p1(X38)
| ! [X39] :
( p1(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p1(X37)
& r1(X34,X37) )
| ! [X35] :
( ? [X36] :
( ~ p1(X36)
& r1(X35,X36) )
| ~ r1(X34,X35) )
| p1(X34) ) )
| ~ r1(X33,X34) )
| ~ r1(X0,X33) )
& ? [X24] :
( ? [X25] :
( ? [X26] :
( ! [X30] :
( ? [X31] :
( p1(X31)
& ? [X32] :
( ~ p1(X32)
& r1(X31,X32) )
& r1(X30,X31) )
| p1(X30)
| ~ r1(X26,X30) )
& ? [X28] :
( ! [X29] :
( p1(X29)
| ~ r1(X28,X29) )
& r1(X26,X28) )
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
& r1(X24,X25) )
& r1(X0,X24) )
& ! [X14] :
( ! [X15] :
( ! [X16] :
( ( ( ? [X21] :
( ! [X22] :
( ~ p1(X22)
| ! [X23] :
( p1(X23)
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
& ~ p1(X21)
& r1(X16,X21) )
| sP0(X16) )
& ! [X17] :
( ? [X20] :
( ~ p1(X20)
& r1(X17,X20) )
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& sP2(X16)
& sP3(X16) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X0,X14) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ! [X10] :
( ? [X13] :
( ~ p1(X13)
& r1(X10,X13) )
| ! [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X4,X10) )
& ( ? [X7] :
( ! [X8] :
( ~ p1(X8)
| ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
& ~ p1(X7)
& r1(X4,X7) )
| ! [X5] :
( ? [X6] :
( ~ p1(X6)
& r1(X5,X6) )
| ~ r1(X4,X5) )
| p1(X4) ) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f25,plain,
( ! [X44] :
( ( ! [X50] :
( ( ~ p1(sK31(X50))
& r1(X50,sK31(X50)) )
| ! [X51] :
( ! [X52] :
( p1(X52)
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
| ~ r1(X44,X50) )
& ( ( ! [X48] :
( ~ p1(X48)
| ! [X49] :
( p1(X49)
| ~ r1(X48,X49) )
| ~ r1(sK30(X44),X48) )
& ~ p1(sK30(X44))
& r1(X44,sK30(X44)) )
| ! [X45] :
( ( ~ p1(sK29(X45))
& r1(X45,sK29(X45)) )
| ~ r1(X44,X45) )
| p1(X44) ) )
| ~ r1(sK13,X44) )
& ! [X33] :
( ! [X34] :
( ( ! [X40] :
( ( ~ p1(sK28(X40))
& r1(X40,sK28(X40)) )
| ! [X41] :
( ! [X42] :
( p1(X42)
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X34,X40) )
& ( ( ! [X38] :
( ~ p1(X38)
| ! [X39] :
( p1(X39)
| ~ r1(X38,X39) )
| ~ r1(sK27(X34),X38) )
& ~ p1(sK27(X34))
& r1(X34,sK27(X34)) )
| ! [X35] :
( ( ~ p1(sK26(X35))
& r1(X35,sK26(X35)) )
| ~ r1(X34,X35) )
| p1(X34) ) )
| ~ r1(X33,X34) )
| ~ r1(sK13,X33) )
& ! [X30] :
( ( p1(sK24(X30))
& ~ p1(sK25(X30))
& r1(sK24(X30),sK25(X30))
& r1(X30,sK24(X30)) )
| p1(X30)
| ~ r1(sK21,X30) )
& ! [X29] :
( p1(X29)
| ~ r1(sK23,X29) )
& r1(sK21,sK23)
& ~ p1(sK22)
& r1(sK21,sK22)
& r1(sK20,sK21)
& r1(sK19,sK20)
& r1(sK13,sK19)
& ! [X14] :
( ! [X15] :
( ! [X16] :
( ( ( ( ! [X22] :
( ~ p1(X22)
| ! [X23] :
( p1(X23)
| ~ r1(X22,X23) )
| ~ r1(sK18(X16),X22) )
& ~ p1(sK18(X16))
& r1(X16,sK18(X16)) )
| sP0(X16) )
& ! [X17] :
( ( ~ p1(sK17(X17))
& r1(X17,sK17(X17)) )
| ! [X18] :
( ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& sP2(X16)
& sP3(X16) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(sK13,X14) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ! [X10] :
( ( ~ p1(sK16(X10))
& r1(X10,sK16(X10)) )
| ! [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X4,X10) )
& ( ( ! [X8] :
( ~ p1(X8)
| ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(sK15(X4),X8) )
& ~ p1(sK15(X4))
& r1(X4,sK15(X4)) )
| ! [X5] :
( ( ~ p1(sK14(X5))
& r1(X5,sK14(X5)) )
| ~ r1(X4,X5) )
| p1(X4) ) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(sK13,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31]),skolemize(X0,sK13),skolemize(X6,sK14(X5)),skolemize(X7,sK15(X4)),skolemize(X13,sK16(X10)),skolemize(X20,sK17(X17)),skolemize(X21,sK18(X16)),skolemize(X24,sK19),skolemize(X25,sK20),skolemize(X26,sK21),skolemize(X27,sK22),skolemize(X28,sK23),skolemize(X31,sK24(X30)),skolemize(X32,sK25(X30)),skolemize(X36,sK26(X35)),skolemize(X37,sK27(X34)),skolemize(X43,sK28(X40)),skolemize(X46,sK29(X45)),skolemize(X47,sK30(X44)),skolemize(X53,sK31(X50))],[f24]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| sP1(X0)
| ~ p1(sK5(X2))
| ~ r1(X0,X2)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| sP1(X0)
| r1(sK4(X2),sK5(X2))
| ~ r1(X0,X2)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| sP1(X0)
| r1(X2,sK4(X2))
| ~ r1(X0,X2)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f30,plain,
! [X0,X1,X4,X5] :
( ~ sP2(X0)
| ~ p1(X4)
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(sK7(X0),X4)
| ~ p1(sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f31,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ p1(sK7(X0))
| ~ p1(sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0,X1] :
( ~ sP2(X0)
| r1(X0,sK7(X0))
| ~ p1(sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0,X1,X4,X5] :
( ~ sP2(X0)
| ~ p1(X4)
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(sK7(X0),X4)
| r1(X1,sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f34,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ p1(sK7(X0))
| r1(X1,sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f35,plain,
! [X0,X1] :
( ~ sP2(X0)
| r1(X0,sK7(X0))
| r1(X1,sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f36,plain,
! [X3,X0,X4,X5] :
( ~ sP1(X0)
| p1(X3)
| ~ p1(X4)
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(sK8(X0),X3) ),
inference(cnf_transformation,[],[f20]) ).
fof(f40,plain,
! [X0] :
( ~ sP1(X0)
| ~ p1(sK9(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f41,plain,
! [X0] :
( ~ sP1(X0)
| r1(sK8(X0),sK9(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f42,plain,
! [X0] :
( ~ sP1(X0)
| r1(X0,sK8(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f55,plain,
! [X40,X41,X34,X42,X33] :
( ~ p1(sK28(X40))
| p1(X42)
| ~ r1(X41,X42)
| ~ r1(X40,X41)
| ~ r1(X34,X40)
| ~ r1(X33,X34)
| ~ r1(sK13,X33) ),
inference(cnf_transformation,[],[f25]) ).
fof(f56,plain,
! [X40,X41,X34,X42,X33] :
( r1(X40,sK28(X40))
| p1(X42)
| ~ r1(X41,X42)
| ~ r1(X40,X41)
| ~ r1(X34,X40)
| ~ r1(X33,X34)
| ~ r1(sK13,X33) ),
inference(cnf_transformation,[],[f25]) ).
fof(f63,plain,
! [X30] :
( p1(sK24(X30))
| p1(X30)
| ~ r1(sK21,X30) ),
inference(cnf_transformation,[],[f25]) ).
fof(f64,plain,
! [X30] :
( ~ p1(sK25(X30))
| p1(X30)
| ~ r1(sK21,X30) ),
inference(cnf_transformation,[],[f25]) ).
fof(f65,plain,
! [X30] :
( r1(sK24(X30),sK25(X30))
| p1(X30)
| ~ r1(sK21,X30) ),
inference(cnf_transformation,[],[f25]) ).
fof(f66,plain,
! [X30] :
( r1(X30,sK24(X30))
| p1(X30)
| ~ r1(sK21,X30) ),
inference(cnf_transformation,[],[f25]) ).
fof(f67,plain,
! [X29] :
( p1(X29)
| ~ r1(sK23,X29) ),
inference(cnf_transformation,[],[f25]) ).
fof(f68,plain,
r1(sK21,sK23),
inference(cnf_transformation,[],[f25]) ).
fof(f69,plain,
~ p1(sK22),
inference(cnf_transformation,[],[f25]) ).
fof(f70,plain,
r1(sK21,sK22),
inference(cnf_transformation,[],[f25]) ).
fof(f71,plain,
r1(sK20,sK21),
inference(cnf_transformation,[],[f25]) ).
fof(f72,plain,
r1(sK19,sK20),
inference(cnf_transformation,[],[f25]) ).
fof(f73,plain,
r1(sK13,sK19),
inference(cnf_transformation,[],[f25]) ).
fof(f74,plain,
! [X16,X14,X15,X22,X23] :
( ~ p1(X22)
| p1(X23)
| ~ r1(X22,X23)
| ~ r1(sK18(X16),X22)
| sP0(X16)
| ~ r1(X15,X16)
| ~ r1(X14,X15)
| ~ r1(sK13,X14) ),
inference(cnf_transformation,[],[f25]) ).
fof(f75,plain,
! [X16,X14,X15] :
( ~ p1(sK18(X16))
| sP0(X16)
| ~ r1(X15,X16)
| ~ r1(X14,X15)
| ~ r1(sK13,X14) ),
inference(cnf_transformation,[],[f25]) ).
fof(f76,plain,
! [X16,X14,X15] :
( r1(X16,sK18(X16))
| sP0(X16)
| ~ r1(X15,X16)
| ~ r1(X14,X15)
| ~ r1(sK13,X14) ),
inference(cnf_transformation,[],[f25]) ).
fof(f77,plain,
! [X18,X19,X16,X14,X17,X15] :
( ~ p1(sK17(X17))
| p1(X19)
| ~ r1(X18,X19)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| ~ r1(X15,X16)
| ~ r1(X14,X15)
| ~ r1(sK13,X14) ),
inference(cnf_transformation,[],[f25]) ).
fof(f78,plain,
! [X18,X19,X16,X14,X17,X15] :
( r1(X17,sK17(X17))
| p1(X19)
| ~ r1(X18,X19)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| ~ r1(X15,X16)
| ~ r1(X14,X15)
| ~ r1(sK13,X14) ),
inference(cnf_transformation,[],[f25]) ).
fof(f79,plain,
! [X16,X14,X15] :
( sP2(X16)
| ~ r1(X15,X16)
| ~ r1(X14,X15)
| ~ r1(sK13,X14) ),
inference(cnf_transformation,[],[f25]) ).
fof(f80,plain,
! [X16,X14,X15] :
( sP3(X16)
| ~ r1(X15,X16)
| ~ r1(X14,X15)
| ~ r1(sK13,X14) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(X0)
| p1(X1)
| r1(X2,sK4(X2))
| ~ sP3(X0)
| ~ p1(X0)
| ~ r1(X0,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(X0)
| p1(X1)
| r1(sK4(X2),sK5(X2))
| ~ sP3(X0)
| ~ p1(X0)
| ~ r1(X0,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(X0)
| p1(X1)
| ~ sP3(X0)
| ~ p1(X0)
| ~ p1(sK5(X2))
| ~ r1(X0,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| r1(X1,sK6(X1))
| r1(X0,sK7(X0))
| ~ sP2(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| r1(X1,sK6(X1))
| ~ sP2(X0)
| ~ p1(sK7(X0))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| p1(X0)
| r1(X2,sK6(X2))
| ~ sP2(X0)
| ~ p1(X1)
| ~ r1(X1,X3)
| ~ r1(X0,X2)
| ~ r1(sK7(X0),X1) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| r1(X0,sK7(X0))
| ~ sP2(X0)
| ~ p1(sK6(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| ~ sP2(X0)
| ~ p1(sK7(X0))
| ~ p1(sK6(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| p1(X0)
| ~ sP2(X0)
| ~ p1(X1)
| ~ p1(sK6(X2))
| ~ r1(X1,X3)
| ~ r1(X0,X2)
| ~ r1(sK7(X0),X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_59,plain,
! [X0: $i] :
( r1(X0,sK8(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_60,plain,
! [X0: $i] :
( r1(sK8(X0),sK9(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_61,plain,
! [X0: $i] :
( ~ sP1(X0)
| ~ p1(sK9(X0)) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| p1(X1)
| ~ sP1(X0)
| ~ p1(X2)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(sK8(X0),X1) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_78,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP3(X2)
| ~ r1(sK13,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_79,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X2)
| ~ r1(sK13,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_80,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p1(X5)
| r1(X3,sK17(X3))
| ~ r1(sK13,X0)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_81,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p1(X5)
| ~ p1(sK17(X3))
| ~ r1(sK13,X0)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_82,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| r1(X2,sK18(X2))
| ~ r1(sK13,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_83,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| ~ p1(sK18(X2))
| ~ r1(sK13,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_84,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X0)
| p1(X4)
| ~ p1(X1)
| ~ r1(sK13,X2)
| ~ r1(X3,X0)
| ~ r1(X2,X3)
| ~ r1(X1,X4)
| ~ r1(sK18(X0),X1) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_85,negated_conjecture,
r1(sK13,sK19),
inference(cnf_transformation,[],[f73]) ).
tcf(c_86,negated_conjecture,
r1(sK19,sK20),
inference(cnf_transformation,[],[f72]) ).
tcf(c_87,negated_conjecture,
r1(sK20,sK21),
inference(cnf_transformation,[],[f71]) ).
tcf(c_88,negated_conjecture,
r1(sK21,sK22),
inference(cnf_transformation,[],[f70]) ).
tcf(c_89,negated_conjecture,
~ p1(sK22),
inference(cnf_transformation,[],[f69]) ).
tcf(c_90,negated_conjecture,
r1(sK21,sK23),
inference(cnf_transformation,[],[f68]) ).
tcf(c_91,negated_conjecture,
! [X0: $i] :
( p1(X0)
| ~ r1(sK23,X0) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_92,negated_conjecture,
! [X0: $i] :
( p1(X0)
| r1(X0,sK24(X0))
| ~ r1(sK21,X0) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_93,negated_conjecture,
! [X0: $i] :
( p1(X0)
| r1(sK24(X0),sK25(X0))
| ~ r1(sK21,X0) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_94,negated_conjecture,
! [X0: $i] :
( p1(X0)
| ~ p1(sK25(X0))
| ~ r1(sK21,X0) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_95,negated_conjecture,
! [X0: $i] :
( p1(X0)
| p1(sK24(X0))
| ~ r1(sK21,X0) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_102,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p1(X4)
| r1(X2,sK28(X2))
| ~ r1(sK13,X0)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_103,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p1(X4)
| ~ p1(sK28(X2))
| ~ r1(sK13,X0)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_2548,plain,
( ~ p1(sK25(sK22))
| ~ r1(sK21,sK22) ),
inference(resolution,[status(thm)],[c_94,c_89]) ).
tcf(c_2699,plain,
( p1(sK22)
| r1(sK22,sK24(sK22))
| ~ r1(sK21,sK22) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_2701,plain,
( p1(sK22)
| r1(sK24(sK22),sK25(sK22))
| ~ r1(sK21,sK22) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_2703,plain,
! [X0: $i,X1: $i] :
( sP3(X1)
| ~ r1(sK13,sK19)
| ~ r1(sK19,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_2704,plain,
! [X0: $i,X1: $i] :
( sP2(X1)
| ~ r1(sK13,sK19)
| ~ r1(sK19,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_2705,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| r1(X1,sK18(X1))
| ~ r1(sK13,sK19)
| ~ r1(sK19,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| r1(X1,sK28(X1))
| ~ r1(sK13,sK19)
| ~ r1(sK19,X0)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_2772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p1(X4)
| r1(X2,sK17(X2))
| ~ r1(sK13,sK19)
| ~ r1(sK19,X0)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_2902,plain,
( sP3(sK21)
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19) ),
inference(instantiation,[status(thm)],[c_2703]) ).
tcf(c_2972,plain,
( sP2(sK21)
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19) ),
inference(instantiation,[status(thm)],[c_2704]) ).
tcf(c_3050,plain,
( sP0(sK21)
| r1(sK21,sK18(sK21))
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19) ),
inference(instantiation,[status(thm)],[c_2705]) ).
tcf(c_3199,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| r1(X0,sK28(X0))
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK20,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_2770]) ).
tcf(c_3216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| r1(X1,sK17(X1))
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK20,X0)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_2772]) ).
tcf(c_3225,plain,
! [X0: $i,X1: $i] :
( sP1(sK21)
| p1(X0)
| r1(sK4(X1),sK5(X1))
| ~ sP3(sK21)
| ~ p1(sK21)
| ~ r1(sK21,X1)
| ~ r1(sK21,X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_3226,plain,
! [X0: $i,X1: $i] :
( sP1(sK21)
| p1(X0)
| r1(X1,sK4(X1))
| ~ sP3(sK21)
| ~ p1(sK21)
| ~ r1(sK21,X1)
| ~ r1(sK21,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_3228,plain,
! [X0: $i,X1: $i] :
( sP1(sK21)
| p1(X0)
| ~ sP3(sK21)
| ~ p1(sK21)
| ~ p1(sK5(X1))
| ~ r1(sK21,X1)
| ~ r1(sK21,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_3233,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(sK21)
| p1(X1)
| r1(X2,sK6(X2))
| ~ sP2(sK21)
| ~ p1(X0)
| ~ r1(sK21,X2)
| ~ r1(X0,X1)
| ~ r1(sK7(sK21),X0) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_3234,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(sK21)
| p1(X1)
| ~ sP2(sK21)
| ~ p1(X0)
| ~ p1(sK6(X2))
| ~ r1(sK21,X2)
| ~ r1(X0,X1)
| ~ r1(sK7(sK21),X0) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_3525,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| r1(sK21,sK28(sK21))
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK21,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_3199]) ).
tcf(c_3535,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| r1(X0,sK17(X0))
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK21,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_3216]) ).
tcf(c_3556,plain,
! [X0: $i] :
( p1(X0)
| r1(sK21,sK28(sK21))
| ~ r1(sK21,sK22)
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK22,X0) ),
inference(instantiation,[status(thm)],[c_3525]) ).
tcf(c_3563,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| r1(sK22,sK17(sK22))
| ~ r1(sK21,sK22)
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK22,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_3535]) ).
tcf(c_3565,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| r1(sK23,sK17(sK23))
| ~ r1(sK21,sK23)
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK23,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_3535]) ).
tcf(c_3839,plain,
( p1(sK21)
| r1(sK23,sK6(sK23))
| r1(sK21,sK7(sK21))
| ~ sP2(sK21) ),
inference(superposition,[status(thm)],[c_90,c_53]) ).
tcf(c_3850,plain,
( p1(sK21)
| r1(sK23,sK6(sK23))
| ~ sP2(sK21)
| ~ p1(sK7(sK21)) ),
inference(superposition,[status(thm)],[c_90,c_54]) ).
tcf(c_3879,plain,
( p1(sK21)
| r1(sK21,sK7(sK21))
| ~ sP2(sK21)
| ~ p1(sK6(sK23)) ),
inference(superposition,[status(thm)],[c_90,c_56]) ).
tcf(c_4122,plain,
! [X0: $i,X1: $i] :
( p1(sK21)
| p1(X1)
| r1(sK23,sK6(sK23))
| ~ sP2(sK21)
| ~ p1(X0)
| ~ r1(sK21,sK23)
| ~ r1(X0,X1)
| ~ r1(sK7(sK21),X0) ),
inference(instantiation,[status(thm)],[c_3233]) ).
tcf(c_4497,plain,
! [X0: $i] :
( sP1(sK21)
| p1(X0)
| r1(sK23,sK4(sK23))
| ~ sP3(sK21)
| ~ p1(sK21)
| ~ r1(sK21,sK23)
| ~ r1(sK21,X0) ),
inference(instantiation,[status(thm)],[c_3226]) ).
tcf(c_4521,plain,
! [X0: $i] :
( p1(X0)
| r1(sK22,sK17(sK22))
| ~ r1(sK21,sK22)
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK22,sK24(sK22))
| ~ r1(sK24(sK22),X0) ),
inference(instantiation,[status(thm)],[c_3563]) ).
tcf(c_4617,plain,
! [X0: $i] :
( sP1(sK21)
| p1(X0)
| r1(sK4(sK23),sK5(sK23))
| ~ sP3(sK21)
| ~ p1(sK21)
| ~ r1(sK21,sK23)
| ~ r1(sK21,X0) ),
inference(instantiation,[status(thm)],[c_3225]) ).
tcf(c_4829,plain,
( p1(sK21)
| ~ sP2(sK21)
| ~ p1(sK7(sK21))
| ~ p1(sK6(sK23)) ),
inference(superposition,[status(thm)],[c_90,c_57]) ).
tcf(c_5233,plain,
( sP1(sK21)
| p1(sK22)
| r1(sK23,sK4(sK23))
| ~ sP3(sK21)
| ~ p1(sK21)
| ~ r1(sK21,sK23)
| ~ r1(sK21,sK22) ),
inference(instantiation,[status(thm)],[c_4497]) ).
tcf(c_5237,plain,
( sP1(sK21)
| p1(sK22)
| r1(sK4(sK23),sK5(sK23))
| ~ sP3(sK21)
| ~ p1(sK21)
| ~ r1(sK21,sK23)
| ~ r1(sK21,sK22) ),
inference(instantiation,[status(thm)],[c_4617]) ).
tcf(c_5581,plain,
( p1(sK25(sK22))
| r1(sK22,sK17(sK22))
| ~ r1(sK21,sK22)
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK22,sK24(sK22))
| ~ r1(sK24(sK22),sK25(sK22)) ),
inference(instantiation,[status(thm)],[c_4521]) ).
tcf(c_5586,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| p1(X0)
| ~ sP1(sK21)
| ~ p1(X1)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK8(sK21),X0) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_5588,plain,
( r1(sK8(sK21),sK9(sK21))
| ~ sP1(sK21) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_5589,plain,
( ~ sP1(sK21)
| ~ p1(sK9(sK21)) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_5590,plain,
( r1(sK21,sK8(sK21))
| ~ sP1(sK21) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_5962,plain,
( p1(sK17(sK22))
| r1(sK21,sK28(sK21))
| ~ r1(sK21,sK22)
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK22,sK17(sK22)) ),
inference(instantiation,[status(thm)],[c_3556]) ).
tcf(c_6022,plain,
( p1(sK18(sK21))
| r1(sK24(sK18(sK21)),sK25(sK18(sK21)))
| ~ r1(sK21,sK18(sK21)) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_6023,plain,
( p1(sK18(sK21))
| r1(sK18(sK21),sK24(sK18(sK21)))
| ~ r1(sK21,sK18(sK21)) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_6024,plain,
( p1(sK18(sK21))
| p1(sK24(sK18(sK21)))
| ~ r1(sK21,sK18(sK21)) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_6194,plain,
! [X0: $i,X1: $i] :
( sP0(sK21)
| ~ p1(sK18(sK21))
| ~ r1(sK13,X0)
| ~ r1(X1,sK21)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_6265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X0)
| p1(X1)
| ~ r1(sK13,X2)
| ~ r1(X3,X0)
| ~ r1(X2,X3)
| ~ p1(sK24(sK18(sK21)))
| ~ r1(sK24(sK18(sK21)),X1)
| ~ r1(sK18(X0),sK24(sK18(sK21))) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_6310,plain,
( p1(sK7(sK21))
| r1(sK24(sK7(sK21)),sK25(sK7(sK21)))
| ~ r1(sK21,sK7(sK21)) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_6311,plain,
( p1(sK7(sK21))
| r1(sK7(sK21),sK24(sK7(sK21)))
| ~ r1(sK21,sK7(sK21)) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_6528,plain,
( p1(sK6(sK23))
| ~ r1(sK23,sK6(sK23)) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_6701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p1(X4)
| ~ p1(sK17(sK22))
| ~ r1(sK22,X3)
| ~ r1(sK13,X0)
| ~ r1(X2,sK22)
| ~ r1(X3,X4)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_6802,plain,
! [X0: $i] :
( sP0(sK21)
| ~ p1(sK18(sK21))
| ~ r1(sK13,sK19)
| ~ r1(sK19,X0)
| ~ r1(X0,sK21) ),
inference(instantiation,[status(thm)],[c_6194]) ).
tcf(c_7048,plain,
! [X0: $i] :
( p1(X0)
| r1(sK23,sK17(sK23))
| ~ r1(sK21,sK23)
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK23,sK4(sK23))
| ~ r1(sK4(sK23),X0) ),
inference(instantiation,[status(thm)],[c_3565]) ).
tcf(c_7352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| ~ p1(sK17(sK22))
| ~ r1(sK13,sK19)
| ~ r1(sK22,X2)
| ~ r1(sK19,X0)
| ~ r1(X1,sK22)
| ~ r1(X2,X3)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_6701]) ).
tcf(c_7361,plain,
( sP0(sK21)
| ~ p1(sK18(sK21))
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19) ),
inference(instantiation,[status(thm)],[c_6802]) ).
tcf(c_7408,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X1)
| ~ p1(sK17(sK22))
| ~ r1(sK21,sK22)
| ~ r1(sK13,sK19)
| ~ r1(sK22,X0)
| ~ r1(sK19,X2)
| ~ r1(X2,sK21)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_7352]) ).
tcf(c_7902,plain,
( p1(sK5(sK23))
| r1(sK23,sK17(sK23))
| ~ r1(sK21,sK23)
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK23,sK4(sK23))
| ~ r1(sK4(sK23),sK5(sK23)) ),
inference(instantiation,[status(thm)],[c_7048]) ).
tcf(c_7929,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| ~ p1(sK17(sK22))
| ~ r1(sK21,sK22)
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK22,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_7408]) ).
tcf(c_7959,plain,
( p1(sK17(sK23))
| ~ r1(sK23,sK17(sK23)) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_8116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p1(X4)
| ~ p1(sK17(sK23))
| ~ r1(sK23,X3)
| ~ r1(sK13,X0)
| ~ r1(X2,sK23)
| ~ r1(X3,X4)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_8117,plain,
! [X0: $i] :
( p1(X0)
| ~ p1(sK17(sK22))
| ~ r1(sK21,sK22)
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK22,sK24(sK22))
| ~ r1(sK24(sK22),X0) ),
inference(instantiation,[status(thm)],[c_7929]) ).
tcf(c_8223,plain,
( p1(sK21)
| r1(sK22,sK6(sK22))
| r1(sK21,sK7(sK21))
| ~ sP2(sK21) ),
inference(superposition,[status(thm)],[c_88,c_53]) ).
tcf(c_8232,plain,
( p1(sK21)
| r1(sK22,sK6(sK22))
| ~ sP2(sK21)
| ~ p1(sK7(sK21)) ),
inference(superposition,[status(thm)],[c_88,c_54]) ).
tcf(c_8575,plain,
( p1(sK21)
| r1(sK21,sK7(sK21)) ),
inference(global_subsumption_just,[status(thm)],[c_8223,c_87,c_86,c_85,c_2972,c_3839,c_3879,c_6528]) ).
tcf(c_8613,plain,
( p1(sK21)
| p1(sK7(sK21))
| ~ p1(sK25(sK7(sK21))) ),
inference(superposition,[status(thm)],[c_8575,c_94]) ).
tcf(c_8614,plain,
( p1(sK21)
| p1(sK7(sK21))
| p1(sK24(sK7(sK21))) ),
inference(superposition,[status(thm)],[c_8575,c_95]) ).
tcf(c_8633,plain,
( p1(sK21)
| p1(sK24(sK7(sK21))) ),
inference(global_subsumption_just,[status(thm)],[c_8614,c_87,c_86,c_85,c_2972,c_3850,c_4829,c_6528,c_8614]) ).
tcf(c_8655,plain,
( p1(sK21)
| ~ p1(sK25(sK7(sK21))) ),
inference(global_subsumption_just,[status(thm)],[c_8613,c_87,c_86,c_85,c_2972,c_3850,c_4829,c_6528,c_8613]) ).
tcf(c_9283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| ~ p1(sK28(sK21))
| ~ r1(sK21,X2)
| ~ r1(sK13,X0)
| ~ r1(X1,sK21)
| ~ r1(X2,X3)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_9315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| ~ p1(sK17(sK23))
| ~ r1(sK13,sK19)
| ~ r1(sK23,X2)
| ~ r1(sK19,X0)
| ~ r1(X1,sK23)
| ~ r1(X2,X3)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_8116]) ).
tcf(c_9941,plain,
( p1(sK25(sK22))
| ~ p1(sK17(sK22))
| ~ r1(sK21,sK22)
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK22,sK24(sK22))
| ~ r1(sK24(sK22),sK25(sK22)) ),
inference(instantiation,[status(thm)],[c_8117]) ).
tcf(c_9945,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| p1(sK9(sK21))
| ~ sP1(sK21)
| ~ p1(X0)
| ~ r1(X0,X1)
| ~ r1(sK9(sK21),X0)
| ~ r1(sK8(sK21),sK9(sK21)) ),
inference(instantiation,[status(thm)],[c_5586]) ).
tcf(c_9980,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X1)
| ~ p1(sK28(sK21))
| ~ r1(sK13,sK19)
| ~ r1(sK21,X0)
| ~ r1(sK19,X2)
| ~ r1(X2,sK21)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_9283]) ).
tcf(c_9992,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X1)
| ~ p1(sK17(sK23))
| ~ r1(sK21,sK23)
| ~ r1(sK13,sK19)
| ~ r1(sK23,X0)
| ~ r1(sK19,X2)
| ~ r1(X2,sK21)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_9315]) ).
tcf(c_10961,plain,
( p1(sK21)
| ~ p1(sK7(sK21)) ),
inference(global_subsumption_just,[status(thm)],[c_8232,c_87,c_86,c_85,c_2972,c_3850,c_4829,c_6528]) ).
tcf(c_11244,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| ~ p1(sK28(sK21))
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK21,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_9980]) ).
tcf(c_11246,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| ~ p1(sK17(sK23))
| ~ r1(sK21,sK23)
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK23,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_9992]) ).
tcf(c_11617,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0)
| p1(sK25(sK18(sK21)))
| ~ r1(sK13,X1)
| ~ r1(X2,X0)
| ~ r1(X1,X2)
| ~ p1(sK24(sK18(sK21)))
| ~ r1(sK18(X0),sK24(sK18(sK21)))
| ~ r1(sK24(sK18(sK21)),sK25(sK18(sK21))) ),
inference(instantiation,[status(thm)],[c_6265]) ).
tcf(c_12143,plain,
! [X0: $i] :
( p1(X0)
| ~ p1(sK28(sK21))
| ~ r1(sK21,sK22)
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK22,X0) ),
inference(instantiation,[status(thm)],[c_11244]) ).
tcf(c_12152,plain,
! [X0: $i] :
( p1(X0)
| ~ p1(sK17(sK23))
| ~ r1(sK21,sK23)
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK23,sK4(sK23))
| ~ r1(sK4(sK23),X0) ),
inference(instantiation,[status(thm)],[c_11246]) ).
tcf(c_12378,plain,
! [X0: $i,X1: $i] :
( sP0(X0)
| p1(sK25(sK18(sK21)))
| ~ r1(sK13,sK19)
| ~ r1(sK19,X1)
| ~ r1(X1,X0)
| ~ p1(sK24(sK18(sK21)))
| ~ r1(sK18(X0),sK24(sK18(sK21)))
| ~ r1(sK24(sK18(sK21)),sK25(sK18(sK21))) ),
inference(instantiation,[status(thm)],[c_11617]) ).
tcf(c_12641,plain,
( p1(sK17(sK22))
| ~ p1(sK28(sK21))
| ~ r1(sK21,sK22)
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK22,sK17(sK22)) ),
inference(instantiation,[status(thm)],[c_12143]) ).
tcf(c_12644,plain,
! [X0: $i] :
( sP0(sK21)
| p1(sK25(sK18(sK21)))
| ~ r1(sK13,sK19)
| ~ r1(sK19,X0)
| ~ r1(X0,sK21)
| ~ p1(sK24(sK18(sK21)))
| ~ r1(sK18(sK21),sK24(sK18(sK21)))
| ~ r1(sK24(sK18(sK21)),sK25(sK18(sK21))) ),
inference(instantiation,[status(thm)],[c_12378]) ).
tcf(c_12759,plain,
! [X0: $i] :
( p1(X0)
| p1(sK9(sK21))
| ~ sP1(sK21)
| ~ p1(sK11(sK9(sK21)))
| ~ r1(sK8(sK21),sK9(sK21))
| ~ r1(sK11(sK9(sK21)),X0)
| ~ r1(sK9(sK21),sK11(sK9(sK21))) ),
inference(instantiation,[status(thm)],[c_9945]) ).
tcf(c_13348,plain,
( sP0(sK21)
| p1(sK25(sK18(sK21)))
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ p1(sK24(sK18(sK21)))
| ~ r1(sK18(sK21),sK24(sK18(sK21)))
| ~ r1(sK24(sK18(sK21)),sK25(sK18(sK21))) ),
inference(instantiation,[status(thm)],[c_12644]) ).
tcf(c_13364,plain,
( p1(sK9(sK21))
| p1(sK12(sK9(sK21)))
| ~ sP1(sK21)
| ~ p1(sK11(sK9(sK21)))
| ~ r1(sK8(sK21),sK9(sK21))
| ~ r1(sK9(sK21),sK11(sK9(sK21)))
| ~ r1(sK11(sK9(sK21)),sK12(sK9(sK21))) ),
inference(instantiation,[status(thm)],[c_12759]) ).
tcf(c_13422,plain,
( p1(sK5(sK23))
| ~ p1(sK17(sK23))
| ~ r1(sK21,sK23)
| ~ r1(sK20,sK21)
| ~ r1(sK19,sK20)
| ~ r1(sK13,sK19)
| ~ r1(sK23,sK4(sK23))
| ~ r1(sK4(sK23),sK5(sK23)) ),
inference(instantiation,[status(thm)],[c_12152]) ).
tcf(c_13486,plain,
! [X0: $i] :
( sP1(sK21)
| p1(X0)
| ~ sP3(sK21)
| ~ p1(sK21)
| ~ p1(sK5(sK23))
| ~ r1(sK21,sK23)
| ~ r1(sK21,X0) ),
inference(instantiation,[status(thm)],[c_3228]) ).
tcf(c_13748,plain,
( sP1(sK21)
| p1(sK28(sK21))
| ~ sP3(sK21)
| ~ p1(sK21)
| ~ p1(sK5(sK23))
| ~ r1(sK21,sK23)
| ~ r1(sK21,sK28(sK21)) ),
inference(instantiation,[status(thm)],[c_13486]) ).
tcf(c_14193,plain,
( p1(sK18(sK21))
| ~ p1(sK25(sK18(sK21)))
| ~ r1(sK21,sK18(sK21)) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_15328,plain,
! [X0: $i] :
( p1(sK21)
| p1(X0)
| r1(sK23,sK6(sK23))
| ~ sP2(sK21)
| ~ r1(sK21,sK23)
| ~ p1(sK24(sK7(sK21)))
| ~ r1(sK24(sK7(sK21)),X0)
| ~ r1(sK7(sK21),sK24(sK7(sK21))) ),
inference(instantiation,[status(thm)],[c_4122]) ).
tcf(c_16839,plain,
( p1(sK21)
| p1(sK25(sK7(sK21)))
| r1(sK23,sK6(sK23))
| ~ sP2(sK21)
| ~ r1(sK21,sK23)
| ~ p1(sK24(sK7(sK21)))
| ~ r1(sK7(sK21),sK24(sK7(sK21)))
| ~ r1(sK24(sK7(sK21)),sK25(sK7(sK21))) ),
inference(instantiation,[status(thm)],[c_15328]) ).
tcf(c_17085,plain,
! [X0: $i,X1: $i] :
( p1(sK21)
| p1(X1)
| ~ sP2(sK21)
| ~ p1(X0)
| ~ p1(sK6(sK23))
| ~ r1(sK21,sK23)
| ~ r1(X0,X1)
| ~ r1(sK7(sK21),X0) ),
inference(instantiation,[status(thm)],[c_3234]) ).
tcf(c_17683,plain,
! [X0: $i] :
( p1(sK21)
| p1(X0)
| ~ sP2(sK21)
| ~ p1(sK6(sK23))
| ~ r1(sK21,sK23)
| ~ p1(sK24(sK7(sK21)))
| ~ r1(sK24(sK7(sK21)),X0)
| ~ r1(sK7(sK21),sK24(sK7(sK21))) ),
inference(instantiation,[status(thm)],[c_17085]) ).
tcf(c_18605,plain,
( p1(sK21)
| p1(sK25(sK7(sK21)))
| ~ sP2(sK21)
| ~ p1(sK6(sK23))
| ~ r1(sK21,sK23)
| ~ p1(sK24(sK7(sK21)))
| ~ r1(sK7(sK21),sK24(sK7(sK21)))
| ~ r1(sK24(sK7(sK21)),sK25(sK7(sK21))) ),
inference(instantiation,[status(thm)],[c_17683]) ).
fof(f7,definition,
! [X16] :
( ~ sP0(X16)
| ! [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
| ~ r1(X16,X36) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f8,definition,
! [X16] :
( ~ sP1(X16)
| ? [X21] :
( ! [X23] :
( ( p1(X23)
& ? [X26] :
( ~ p1(X26)
& r1(X23,X26) ) )
| ! [X24] :
( ~ p1(X24)
| ! [X25] :
( p1(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X21,X23) )
& p1(X21)
& ? [X22] :
( ~ p1(X22)
& r1(X21,X22) )
& r1(X16,X21) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f9,definition,
! [X16] :
( ~ sP2(X16)
| ? [X29] :
( ! [X30] :
( ~ p1(X30)
| ! [X31] :
( p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
& ~ p1(X29)
& r1(X16,X29) )
| ! [X27] :
( ? [X28] :
( ~ p1(X28)
& r1(X27,X28) )
| ~ r1(X16,X27) )
| p1(X16) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X16] :
( ~ sP3(X16)
| sP1(X16)
| ! [X18] :
( ? [X19] :
( p1(X19)
& ? [X20] :
( ~ p1(X20)
& r1(X19,X20) )
& r1(X18,X19) )
| ~ r1(X16,X18) )
| ~ p1(X16)
| ! [X17] :
( p1(X17)
| ~ r1(X16,X17) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f11,plain,
? [X0] :
( ! [X63] :
( ( ! [X69] :
( ? [X72] :
( ~ p1(X72)
& r1(X69,X72) )
| ! [X70] :
( ! [X71] :
( p1(X71)
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| ~ r1(X63,X69) )
& ( ? [X66] :
( ! [X67] :
( ~ p1(X67)
| ! [X68] :
( p1(X68)
| ~ r1(X67,X68) )
| ~ r1(X66,X67) )
& ~ p1(X66)
& r1(X63,X66) )
| ! [X64] :
( ? [X65] :
( ~ p1(X65)
& r1(X64,X65) )
| ~ r1(X63,X64) )
| p1(X63) ) )
| ~ r1(X0,X63) )
& ! [X52] :
( ! [X53] :
( ( ! [X59] :
( ? [X62] :
( ~ p1(X62)
& r1(X59,X62) )
| ! [X60] :
( ! [X61] :
( p1(X61)
| ~ r1(X60,X61) )
| ~ r1(X59,X60) )
| ~ r1(X53,X59) )
& ( ? [X56] :
( ! [X57] :
( ~ p1(X57)
| ! [X58] :
( p1(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
& ~ p1(X56)
& r1(X53,X56) )
| ! [X54] :
( ? [X55] :
( ~ p1(X55)
& r1(X54,X55) )
| ~ r1(X53,X54) )
| p1(X53) ) )
| ~ r1(X52,X53) )
| ~ r1(X0,X52) )
& ? [X43] :
( ? [X44] :
( ? [X45] :
( ! [X49] :
( ? [X50] :
( p1(X50)
& ? [X51] :
( ~ p1(X51)
& r1(X50,X51) )
& r1(X49,X50) )
| p1(X49)
| ~ r1(X45,X49) )
& ? [X47] :
( ! [X48] :
( p1(X48)
| ~ r1(X47,X48) )
& r1(X45,X47) )
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
& r1(X43,X44) )
& r1(X0,X43) )
& ! [X14] :
( ! [X15] :
( ! [X16] :
( ( ( ? [X40] :
( ! [X41] :
( ~ p1(X41)
| ! [X42] :
( p1(X42)
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
& ~ p1(X40)
& r1(X16,X40) )
| sP0(X16) )
& ! [X32] :
( ? [X35] :
( ~ p1(X35)
& r1(X32,X35) )
| ! [X33] :
( ! [X34] :
( p1(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| ~ r1(X16,X32) )
& sP2(X16)
& sP3(X16) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X0,X14) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ! [X10] :
( ? [X13] :
( ~ p1(X13)
& r1(X10,X13) )
| ! [X11] :
( ! [X12] :
( p1(X12)
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| ~ r1(X4,X10) )
& ( ? [X7] :
( ! [X8] :
( ~ p1(X8)
| ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
& ~ p1(X7)
& r1(X4,X7) )
| ! [X5] :
( ? [X6] :
( ~ p1(X6)
& r1(X5,X6) )
| ~ r1(X4,X5) )
| p1(X4) ) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(definition_folding,[],[f6,f10,f9,f8,f7]) ).
fof(f21,plain,
! [X16] :
( ~ sP0(X16)
| ! [X36] :
( ! [X37] :
( ? [X38] :
( p1(X38)
& ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p1(X37)
| ~ r1(X36,X37) )
| ~ r1(X16,X36) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f22,plain,
! [X0] :
( ~ sP0(X0)
| ! [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f21]) ).
fof(f23,plain,
! [X0] :
( ~ sP0(X0)
| ! [X1] :
( ! [X2] :
( ( p1(sK11(X2))
& ~ p1(sK12(X2))
& r1(sK11(X2),sK12(X2))
& r1(X2,sK11(X2)) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X3,sK11(X2)),skolemize(X4,sK12(X2))],[f22]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| p1(sK11(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| ~ p1(sK12(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| r1(sK11(X2),sK12(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| r1(X2,sK11(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| r1(X2,sK11(X2))
| ~ sP0(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| r1(sK11(X2),sK12(X2))
| ~ sP0(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| ~ sP0(X0)
| ~ p1(sK12(X2))
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| p1(sK11(X2))
| ~ sP0(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_3292,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| r1(sK11(X1),sK12(X1))
| ~ sP0(sK21)
| ~ r1(sK21,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_3293,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| r1(X1,sK11(X1))
| ~ sP0(sK21)
| ~ r1(sK21,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_3294,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| p1(sK11(X1))
| ~ sP0(sK21)
| ~ r1(sK21,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_3295,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| ~ sP0(sK21)
| ~ p1(sK12(X1))
| ~ r1(sK21,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_9759,plain,
! [X0: $i] :
( p1(X0)
| r1(sK11(X0),sK12(X0))
| ~ sP0(sK21)
| ~ r1(sK21,sK8(sK21))
| ~ r1(sK8(sK21),X0) ),
inference(instantiation,[status(thm)],[c_3292]) ).
tcf(c_9760,plain,
! [X0: $i] :
( p1(X0)
| r1(X0,sK11(X0))
| ~ sP0(sK21)
| ~ r1(sK21,sK8(sK21))
| ~ r1(sK8(sK21),X0) ),
inference(instantiation,[status(thm)],[c_3293]) ).
tcf(c_9761,plain,
! [X0: $i] :
( p1(X0)
| p1(sK11(X0))
| ~ sP0(sK21)
| ~ r1(sK21,sK8(sK21))
| ~ r1(sK8(sK21),X0) ),
inference(instantiation,[status(thm)],[c_3294]) ).
tcf(c_11157,plain,
( p1(sK9(sK21))
| p1(sK11(sK9(sK21)))
| ~ sP0(sK21)
| ~ r1(sK21,sK8(sK21))
| ~ r1(sK8(sK21),sK9(sK21)) ),
inference(instantiation,[status(thm)],[c_9761]) ).
tcf(c_11158,plain,
( p1(sK9(sK21))
| r1(sK11(sK9(sK21)),sK12(sK9(sK21)))
| ~ sP0(sK21)
| ~ r1(sK21,sK8(sK21))
| ~ r1(sK8(sK21),sK9(sK21)) ),
inference(instantiation,[status(thm)],[c_9759]) ).
tcf(c_11159,plain,
( p1(sK9(sK21))
| r1(sK9(sK21),sK11(sK9(sK21)))
| ~ sP0(sK21)
| ~ r1(sK21,sK8(sK21))
| ~ r1(sK8(sK21),sK9(sK21)) ),
inference(instantiation,[status(thm)],[c_9760]) ).
tcf(c_15022,plain,
! [X0: $i] :
( p1(sK9(sK21))
| ~ sP0(sK21)
| ~ r1(sK21,X0)
| ~ p1(sK12(sK9(sK21)))
| ~ r1(X0,sK9(sK21)) ),
inference(instantiation,[status(thm)],[c_3295]) ).
tcf(c_15216,plain,
( p1(sK9(sK21))
| ~ sP0(sK21)
| ~ p1(sK12(sK9(sK21)))
| ~ r1(sK21,sK8(sK21))
| ~ r1(sK8(sK21),sK9(sK21)) ),
inference(instantiation,[status(thm)],[c_15022]) ).
tcf(c_18606,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_18605,c_16839,c_15216,c_14193,c_13748,c_13422,c_13364,c_13348,c_12641,c_11159,c_11158,c_11157,c_10961,c_9941,c_8655,c_8633,c_8575,c_7959,c_7902,c_7361,c_6528,c_6310,c_6311,c_6022,c_6023,c_6024,c_5962,c_5588,c_5589,c_5590,c_5581,c_5237,c_5233,c_3050,c_2972,c_2902,c_2701,c_2699,c_2548,c_85,c_86,c_87,c_88,c_89,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL640+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 23:51:57 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.32/1.74 % SZS status Started for theBenchmark.p
% 1.32/1.74 % SZS status Theorem for theBenchmark.p
% 1.32/1.74
% 1.32/1.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.32/1.74
% 1.32/1.74 % ------ iProver source info
% 1.32/1.74
% 1.32/1.74 % git: date: 2026-07-19 20:42:38 +0200
% 1.32/1.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.32/1.74 % git: non_committed_changes: false
% 1.32/1.74
% 1.32/1.74 % ------ Parsing...
% 1.32/1.74 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.32/1.74
% 1.32/1.74 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.32/1.74
% 1.32/1.74 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.32/1.74 % ------ Proving...
% 1.32/1.74 % ------ Problem Properties
% 1.32/1.74
% 1.32/1.74 %
% 1.32/1.74 % clauses 63
% 1.32/1.74 % conjectures 42
% 1.32/1.74 % EPR 9
% 1.32/1.74 % Horn 25
% 1.32/1.74 % unary 6
% 1.32/1.74 % binary 5
% 1.32/1.74 % lits 351
% 1.32/1.74 % lits eq 0
% 1.32/1.74 % fd_pure 0
% 1.32/1.74 % fd_pseudo 0
% 1.32/1.74 % fd_cond 0
% 1.32/1.74 % fd_pseudo_cond 0
% 1.32/1.74 % AC symbols 0
% 1.32/1.74
% 1.32/1.74 % ------ Input Options Time Limit: Unbounded
% 1.32/1.74
% 1.32/1.74
% 1.32/1.74 % ------
% 1.32/1.74 % Current options:
% 1.32/1.74 % ------
% 1.32/1.74
% 1.32/1.74
% 1.32/1.74 %
% 1.32/1.74
% 1.32/1.74 % ------ Proving...
% 1.32/1.74 %
% 1.32/1.74
% 1.32/1.74 % SZS status Theorem for theBenchmark.p
% 1.32/1.74
% 1.32/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.32/1.74
% 1.32/1.74
%------------------------------------------------------------------------------