%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL659+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 07:46:55 EDT 2023
% Result : CounterSatisfiable 1.65s 1.14s
% Output : Saturation 1.65s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,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) )
| p1(X1)
| ~ 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(f3,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) )
| p1(X1)
| ~ 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,[],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ( ! [X2] :
( ~ ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ~ ! [X6] :
( ~ ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| p1(X6)
| ~ r1(X1,X6) )
| ! [X9] :
( ~ ! [X10] :
( p1(X10)
| ~ r1(X9,X10) )
| ~ r1(X1,X9) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ( ! [X13] :
( ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ( ~ ! [X17] :
( ~ ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| p1(X17)
| ~ r1(X12,X17) )
| ! [X20] :
( ~ ! [X21] :
( p1(X21)
| ~ r1(X20,X21) )
| ~ r1(X12,X20) )
| p1(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ~ ! [X22] :
( ! [X23] :
( ! [X24] :
( ~ ! [X25] :
( ~ ! [X26] :
( ~ p1(X26)
| ! [X27] :
( p1(X27)
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| p1(X25)
| ~ r1(X24,X25) )
| p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X0,X22) ) )
| ~ ! [X28] :
( ! [X29] :
( ! [X30] :
( ( ( ~ ! [X31] :
( ~ ! [X32] :
( ~ p1(X32)
| ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| p1(X31)
| ~ r1(X30,X31) )
| ! [X34] :
( ! [X35] :
( ~ ! [X36] :
( ~ p1(X36)
| ! [X37] :
( p1(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| p1(X35)
| ~ r1(X34,X35) )
| ~ r1(X30,X34) ) )
& ! [X38] :
( ~ ! [X39] :
( p1(X39)
| ~ r1(X38,X39) )
| ! [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
| ~ r1(X38,X40) )
| ~ r1(X30,X38) )
& ( ~ ! [X42] :
( ~ ! [X43] :
( ~ p1(X43)
| ! [X44] :
( p1(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| p1(X42)
| ~ r1(X30,X42) )
| ! [X45] :
( ~ ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X30,X45) )
| p1(X30) )
& ( ~ ! [X47] :
( ~ ! [X48] :
( ~ ( ~ p1(X48)
| ! [X49] :
( p1(X49)
| ~ r1(X48,X49) ) )
| ! [X50] :
( ~ p1(X50)
| ! [X51] :
( p1(X51)
| ~ r1(X50,X51) )
| ~ r1(X48,X50) )
| ~ r1(X47,X48) )
| ~ p1(X47)
| ! [X52] :
( p1(X52)
| ~ r1(X47,X52) )
| ~ r1(X30,X47) )
| ! [X53] :
( ~ ! [X54] :
( ~ p1(X54)
| ! [X55] :
( p1(X55)
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X30,X53) )
| ~ p1(X30)
| ! [X56] :
( p1(X56)
| ~ r1(X30,X56) ) ) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) )
| ~ ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ( ! [X61] :
( ~ ! [X62] :
( p1(X62)
| ~ r1(X61,X62) )
| ! [X63] :
( ! [X64] :
( p1(X64)
| ~ r1(X63,X64) )
| ~ r1(X61,X63) )
| ~ r1(X60,X61) )
& ( ~ ! [X65] :
( ~ ! [X66] :
( ~ p1(X66)
| ! [X67] :
( p1(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| p1(X65)
| ~ r1(X60,X65) )
| ! [X68] :
( ~ ! [X69] :
( p1(X69)
| ~ r1(X68,X69) )
| ~ r1(X60,X68) )
| p1(X60) ) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X0,X57) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( ! [X1] :
( ( ! [X2] :
( ~ ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ~ ! [X6] :
( ~ ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| p1(X6)
| ~ r1(X1,X6) )
| ! [X9] :
( ~ ! [X10] :
( p1(X10)
| ~ r1(X9,X10) )
| ~ r1(X1,X9) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ( ! [X13] :
( ~ ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ( ~ ! [X17] :
( ~ ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| p1(X17)
| ~ r1(X12,X17) )
| ! [X20] :
( ~ ! [X21] :
( p1(X21)
| ~ r1(X20,X21) )
| ~ r1(X12,X20) )
| p1(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ~ ! [X22] :
( ! [X23] :
( ! [X24] :
( ~ ! [X25] :
( ~ ! [X26] :
( ~ p1(X26)
| ! [X27] :
( p1(X27)
| ~ r1(X26,X27) )
| ~ r1(X25,X26) )
| p1(X25)
| ~ r1(X24,X25) )
| p1(X24)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X0,X22) ) )
| ~ ! [X28] :
( ! [X29] :
( ! [X30] :
( ( ( ~ ! [X31] :
( ~ ! [X32] :
( ~ p1(X32)
| ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| p1(X31)
| ~ r1(X30,X31) )
| ! [X34] :
( ! [X35] :
( ~ ! [X36] :
( ~ p1(X36)
| ! [X37] :
( p1(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| p1(X35)
| ~ r1(X34,X35) )
| ~ r1(X30,X34) ) )
& ! [X38] :
( ~ ! [X39] :
( p1(X39)
| ~ r1(X38,X39) )
| ! [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
| ~ r1(X38,X40) )
| ~ r1(X30,X38) )
& ( ~ ! [X42] :
( ~ ! [X43] :
( ~ p1(X43)
| ! [X44] :
( p1(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
| p1(X42)
| ~ r1(X30,X42) )
| ! [X45] :
( ~ ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X30,X45) )
| p1(X30) )
& ( ~ ! [X47] :
( ~ ! [X48] :
( ~ ( ~ p1(X48)
| ! [X49] :
( p1(X49)
| ~ r1(X48,X49) ) )
| ! [X50] :
( ~ p1(X50)
| ! [X51] :
( p1(X51)
| ~ r1(X50,X51) )
| ~ r1(X48,X50) )
| ~ r1(X47,X48) )
| ~ p1(X47)
| ! [X52] :
( p1(X52)
| ~ r1(X47,X52) )
| ~ r1(X30,X47) )
| ! [X53] :
( ~ ! [X54] :
( ~ p1(X54)
| ! [X55] :
( p1(X55)
| ~ r1(X54,X55) )
| ~ r1(X53,X54) )
| ~ r1(X30,X53) )
| ~ p1(X30)
| ! [X56] :
( p1(X56)
| ~ r1(X30,X56) ) ) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) )
| ~ ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ( ! [X61] :
( ~ ! [X62] :
( p1(X62)
| ~ r1(X61,X62) )
| ! [X63] :
( ! [X64] :
( p1(X64)
| ~ r1(X63,X64) )
| ~ r1(X61,X63) )
| ~ r1(X60,X61) )
& ( ~ ! [X65] :
( ~ ! [X66] :
( ~ p1(X66)
| ! [X67] :
( p1(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| p1(X65)
| ~ r1(X60,X65) )
| ! [X68] :
( ~ ! [X69] :
( p1(X69)
| ~ r1(X68,X69) )
| ~ r1(X60,X68) )
| p1(X60) ) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X0,X57) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ? [X6] :
( ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p1(X6)
& r1(X1,X6) )
| ! [X9] :
( ? [X10] :
( ~ p1(X10)
& r1(X9,X10) )
| ~ r1(X1,X9) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ( ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ( ? [X17] :
( ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
& ~ p1(X17)
& r1(X12,X17) )
| ! [X20] :
( ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
| ~ r1(X12,X20) )
| p1(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ? [X22] :
( ? [X23] :
( ? [X24] :
( ! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
| p1(X25)
| ~ r1(X24,X25) )
& ~ p1(X24)
& r1(X23,X24) )
& r1(X22,X23) )
& r1(X0,X22) )
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ( ( ? [X31] :
( ! [X32] :
( ~ p1(X32)
| ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
& ~ p1(X31)
& r1(X30,X31) )
| ! [X34] :
( ! [X35] :
( ? [X36] :
( p1(X36)
& ? [X37] :
( ~ p1(X37)
& r1(X36,X37) )
& r1(X35,X36) )
| p1(X35)
| ~ r1(X34,X35) )
| ~ r1(X30,X34) ) )
& ! [X38] :
( ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
| ! [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
| ~ r1(X38,X40) )
| ~ r1(X30,X38) )
& ( ? [X42] :
( ! [X43] :
( ~ p1(X43)
| ! [X44] :
( p1(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
& ~ p1(X42)
& r1(X30,X42) )
| ! [X45] :
( ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
| ~ r1(X30,X45) )
| p1(X30) )
& ( ? [X47] :
( ! [X48] :
( ( p1(X48)
& ? [X49] :
( ~ p1(X49)
& r1(X48,X49) ) )
| ! [X50] :
( ~ p1(X50)
| ! [X51] :
( p1(X51)
| ~ r1(X50,X51) )
| ~ r1(X48,X50) )
| ~ r1(X47,X48) )
& p1(X47)
& ? [X52] :
( ~ p1(X52)
& r1(X47,X52) )
& r1(X30,X47) )
| ! [X53] :
( ? [X54] :
( p1(X54)
& ? [X55] :
( ~ p1(X55)
& r1(X54,X55) )
& r1(X53,X54) )
| ~ r1(X30,X53) )
| ~ p1(X30)
| ! [X56] :
( p1(X56)
| ~ r1(X30,X56) ) ) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) )
& ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ( ! [X61] :
( ? [X62] :
( ~ p1(X62)
& r1(X61,X62) )
| ! [X63] :
( ! [X64] :
( p1(X64)
| ~ r1(X63,X64) )
| ~ r1(X61,X63) )
| ~ r1(X60,X61) )
& ( ? [X65] :
( ! [X66] :
( ~ p1(X66)
| ! [X67] :
( p1(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p1(X65)
& r1(X60,X65) )
| ! [X68] :
( ? [X69] :
( ~ p1(X69)
& r1(X68,X69) )
| ~ r1(X60,X68) )
| p1(X60) ) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X0,X57) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ? [X6] :
( ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p1(X6)
& r1(X1,X6) )
| ! [X9] :
( ? [X10] :
( ~ p1(X10)
& r1(X9,X10) )
| ~ r1(X1,X9) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ( ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ( ? [X17] :
( ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
& ~ p1(X17)
& r1(X12,X17) )
| ! [X20] :
( ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
| ~ r1(X12,X20) )
| p1(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ? [X22] :
( ? [X23] :
( ? [X24] :
( ! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
| p1(X25)
| ~ r1(X24,X25) )
& ~ p1(X24)
& r1(X23,X24) )
& r1(X22,X23) )
& r1(X0,X22) )
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ( ( ? [X31] :
( ! [X32] :
( ~ p1(X32)
| ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
& ~ p1(X31)
& r1(X30,X31) )
| ! [X34] :
( ! [X35] :
( ? [X36] :
( p1(X36)
& ? [X37] :
( ~ p1(X37)
& r1(X36,X37) )
& r1(X35,X36) )
| p1(X35)
| ~ r1(X34,X35) )
| ~ r1(X30,X34) ) )
& ! [X38] :
( ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
| ! [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
| ~ r1(X38,X40) )
| ~ r1(X30,X38) )
& ( ? [X42] :
( ! [X43] :
( ~ p1(X43)
| ! [X44] :
( p1(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
& ~ p1(X42)
& r1(X30,X42) )
| ! [X45] :
( ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
| ~ r1(X30,X45) )
| p1(X30) )
& ( ? [X47] :
( ! [X48] :
( ( p1(X48)
& ? [X49] :
( ~ p1(X49)
& r1(X48,X49) ) )
| ! [X50] :
( ~ p1(X50)
| ! [X51] :
( p1(X51)
| ~ r1(X50,X51) )
| ~ r1(X48,X50) )
| ~ r1(X47,X48) )
& p1(X47)
& ? [X52] :
( ~ p1(X52)
& r1(X47,X52) )
& r1(X30,X47) )
| ! [X53] :
( ? [X54] :
( p1(X54)
& ? [X55] :
( ~ p1(X55)
& r1(X54,X55) )
& r1(X53,X54) )
| ~ r1(X30,X53) )
| ~ p1(X30)
| ! [X56] :
( p1(X56)
| ~ r1(X30,X56) ) ) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) )
& ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ( ! [X61] :
( ? [X62] :
( ~ p1(X62)
& r1(X61,X62) )
| ! [X63] :
( ! [X64] :
( p1(X64)
| ~ r1(X63,X64) )
| ~ r1(X61,X63) )
| ~ r1(X60,X61) )
& ( ? [X65] :
( ! [X66] :
( ~ p1(X66)
| ! [X67] :
( p1(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p1(X65)
& r1(X60,X65) )
| ! [X68] :
( ? [X69] :
( ~ p1(X69)
& r1(X68,X69) )
| ~ r1(X60,X68) )
| p1(X60) ) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X0,X57) ) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X30] :
( ? [X47] :
( ! [X48] :
( ( p1(X48)
& ? [X49] :
( ~ p1(X49)
& r1(X48,X49) ) )
| ! [X50] :
( ~ p1(X50)
| ! [X51] :
( p1(X51)
| ~ r1(X50,X51) )
| ~ r1(X48,X50) )
| ~ r1(X47,X48) )
& p1(X47)
& ? [X52] :
( ~ p1(X52)
& r1(X47,X52) )
& r1(X30,X47) )
| ~ sP0(X30) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
! [X30] :
( ! [X34] :
( ! [X35] :
( ? [X36] :
( p1(X36)
& ? [X37] :
( ~ p1(X37)
& r1(X36,X37) )
& r1(X35,X36) )
| p1(X35)
| ~ r1(X34,X35) )
| ~ r1(X30,X34) )
| ~ sP1(X30) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
! [X30] :
( ? [X42] :
( ! [X43] :
( ~ p1(X43)
| ! [X44] :
( p1(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
& ~ p1(X42)
& r1(X30,X42) )
| ! [X45] :
( ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
| ~ r1(X30,X45) )
| p1(X30)
| ~ sP2(X30) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
! [X30] :
( sP0(X30)
| ! [X53] :
( ? [X54] :
( p1(X54)
& ? [X55] :
( ~ p1(X55)
& r1(X54,X55) )
& r1(X53,X54) )
| ~ r1(X30,X53) )
| ~ p1(X30)
| ! [X56] :
( p1(X56)
| ~ r1(X30,X56) )
| ~ sP3(X30) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
? [X0] :
( ! [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ? [X6] :
( ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p1(X6)
& r1(X1,X6) )
| ! [X9] :
( ? [X10] :
( ~ p1(X10)
& r1(X9,X10) )
| ~ r1(X1,X9) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ( ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ( ? [X17] :
( ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
& ~ p1(X17)
& r1(X12,X17) )
| ! [X20] :
( ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
| ~ r1(X12,X20) )
| p1(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ? [X22] :
( ? [X23] :
( ? [X24] :
( ! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
| p1(X25)
| ~ r1(X24,X25) )
& ~ p1(X24)
& r1(X23,X24) )
& r1(X22,X23) )
& r1(X0,X22) )
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ( ( ? [X31] :
( ! [X32] :
( ~ p1(X32)
| ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
& ~ p1(X31)
& r1(X30,X31) )
| sP1(X30) )
& ! [X38] :
( ? [X39] :
( ~ p1(X39)
& r1(X38,X39) )
| ! [X40] :
( ! [X41] :
( p1(X41)
| ~ r1(X40,X41) )
| ~ r1(X38,X40) )
| ~ r1(X30,X38) )
& sP2(X30)
& sP3(X30) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) )
& ! [X57] :
( ! [X58] :
( ! [X59] :
( ! [X60] :
( ( ! [X61] :
( ? [X62] :
( ~ p1(X62)
& r1(X61,X62) )
| ! [X63] :
( ! [X64] :
( p1(X64)
| ~ r1(X63,X64) )
| ~ r1(X61,X63) )
| ~ r1(X60,X61) )
& ( ? [X65] :
( ! [X66] :
( ~ p1(X66)
| ! [X67] :
( p1(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p1(X65)
& r1(X60,X65) )
| ! [X68] :
( ? [X69] :
( ~ p1(X69)
& r1(X68,X69) )
| ~ r1(X60,X68) )
| p1(X60) ) )
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| ~ r1(X57,X58) )
| ~ r1(X0,X57) ) ),
inference(definition_folding,[],[f7,f11,f10,f9,f8]) ).
fof(f13,plain,
! [X30] :
( sP0(X30)
| ! [X53] :
( ? [X54] :
( p1(X54)
& ? [X55] :
( ~ p1(X55)
& r1(X54,X55) )
& r1(X53,X54) )
| ~ r1(X30,X53) )
| ~ p1(X30)
| ! [X56] :
( p1(X56)
| ~ r1(X30,X56) )
| ~ sP3(X30) ),
inference(nnf_transformation,[],[f11]) ).
fof(f14,plain,
! [X0] :
( sP0(X0)
| ! [X1] :
( ? [X2] :
( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X4] :
( p1(X4)
| ~ r1(X0,X4) )
| ~ sP3(X0) ),
inference(rectify,[],[f13]) ).
fof(f15,plain,
! [X1] :
( ? [X2] :
( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p1(sK4(X1))
& ? [X3] :
( ~ p1(X3)
& r1(sK4(X1),X3) )
& r1(X1,sK4(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X1] :
( ? [X3] :
( ~ p1(X3)
& r1(sK4(X1),X3) )
=> ( ~ p1(sK5(X1))
& r1(sK4(X1),sK5(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
( sP0(X0)
| ! [X1] :
( ( p1(sK4(X1))
& ~ p1(sK5(X1))
& r1(sK4(X1),sK5(X1))
& r1(X1,sK4(X1)) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X4] :
( p1(X4)
| ~ r1(X0,X4) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f14,f16,f15]) ).
fof(f18,plain,
! [X30] :
( ? [X42] :
( ! [X43] :
( ~ p1(X43)
| ! [X44] :
( p1(X44)
| ~ r1(X43,X44) )
| ~ r1(X42,X43) )
& ~ p1(X42)
& r1(X30,X42) )
| ! [X45] :
( ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
| ~ r1(X30,X45) )
| p1(X30)
| ~ sP2(X30) ),
inference(nnf_transformation,[],[f10]) ).
fof(f19,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
| ! [X4] :
( ? [X5] :
( ~ p1(X5)
& r1(X4,X5) )
| ~ r1(X0,X4) )
| p1(X0)
| ~ sP2(X0) ),
inference(rectify,[],[f18]) ).
fof(f20,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK6(X0),X2) )
& ~ p1(sK6(X0))
& r1(X0,sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X4] :
( ? [X5] :
( ~ p1(X5)
& r1(X4,X5) )
=> ( ~ p1(sK7(X4))
& r1(X4,sK7(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0] :
( ( ! [X2] :
( ~ p1(X2)
| ! [X3] :
( p1(X3)
| ~ r1(X2,X3) )
| ~ r1(sK6(X0),X2) )
& ~ p1(sK6(X0))
& r1(X0,sK6(X0)) )
| ! [X4] :
( ( ~ p1(sK7(X4))
& r1(X4,sK7(X4)) )
| ~ r1(X0,X4) )
| p1(X0)
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f19,f21,f20]) ).
fof(f23,plain,
! [X30] :
( ! [X34] :
( ! [X35] :
( ? [X36] :
( p1(X36)
& ? [X37] :
( ~ p1(X37)
& r1(X36,X37) )
& r1(X35,X36) )
| p1(X35)
| ~ r1(X34,X35) )
| ~ r1(X30,X34) )
| ~ sP1(X30) ),
inference(nnf_transformation,[],[f9]) ).
fof(f24,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p1(sK8(X2))
& ? [X4] :
( ~ p1(X4)
& r1(sK8(X2),X4) )
& r1(X2,sK8(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X2] :
( ? [X4] :
( ~ p1(X4)
& r1(sK8(X2),X4) )
=> ( ~ p1(sK9(X2))
& r1(sK8(X2),sK9(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p1(sK8(X2))
& ~ p1(sK9(X2))
& r1(sK8(X2),sK9(X2))
& r1(X2,sK8(X2)) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f24,f26,f25]) ).
fof(f28,plain,
! [X30] :
( ? [X47] :
( ! [X48] :
( ( p1(X48)
& ? [X49] :
( ~ p1(X49)
& r1(X48,X49) ) )
| ! [X50] :
( ~ p1(X50)
| ! [X51] :
( p1(X51)
| ~ r1(X50,X51) )
| ~ r1(X48,X50) )
| ~ r1(X47,X48) )
& p1(X47)
& ? [X52] :
( ~ p1(X52)
& r1(X47,X52) )
& r1(X30,X47) )
| ~ sP0(X30) ),
inference(nnf_transformation,[],[f8]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) ) )
| ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& p1(X1)
& ? [X6] :
( ~ p1(X6)
& r1(X1,X6) )
& r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) ) )
| ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& p1(X1)
& ? [X6] :
( ~ p1(X6)
& r1(X1,X6) )
& r1(X0,X1) )
=> ( ! [X2] :
( ( p1(X2)
& ? [X3] :
( ~ p1(X3)
& r1(X2,X3) ) )
| ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(sK10(X0),X2) )
& p1(sK10(X0))
& ? [X6] :
( ~ p1(X6)
& r1(sK10(X0),X6) )
& r1(X0,sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
=> ( ~ p1(sK11(X2))
& r1(X2,sK11(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0] :
( ? [X6] :
( ~ p1(X6)
& r1(sK10(X0),X6) )
=> ( ~ p1(sK12(X0))
& r1(sK10(X0),sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0] :
( ( ! [X2] :
( ( p1(X2)
& ~ p1(sK11(X2))
& r1(X2,sK11(X2)) )
| ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(sK10(X0),X2) )
& p1(sK10(X0))
& ~ p1(sK12(X0))
& r1(sK10(X0),sK12(X0))
& r1(X0,sK10(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f29,f32,f31,f30]) ).
fof(f34,plain,
? [X0] :
( ! [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ? [X6] :
( ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p1(X6)
& r1(X1,X6) )
| ! [X9] :
( ? [X10] :
( ~ p1(X10)
& r1(X9,X10) )
| ~ r1(X1,X9) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ( ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ( ? [X17] :
( ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
& ~ p1(X17)
& r1(X12,X17) )
| ! [X20] :
( ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
| ~ r1(X12,X20) )
| p1(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ? [X22] :
( ? [X23] :
( ? [X24] :
( ! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
| p1(X25)
| ~ r1(X24,X25) )
& ~ p1(X24)
& r1(X23,X24) )
& r1(X22,X23) )
& r1(X0,X22) )
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ( ( ? [X31] :
( ! [X32] :
( ~ p1(X32)
| ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
& ~ p1(X31)
& r1(X30,X31) )
| sP1(X30) )
& ! [X34] :
( ? [X35] :
( ~ p1(X35)
& r1(X34,X35) )
| ! [X36] :
( ! [X37] :
( p1(X37)
| ~ r1(X36,X37) )
| ~ r1(X34,X36) )
| ~ r1(X30,X34) )
& sP2(X30)
& sP3(X30) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) )
& ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ( ! [X42] :
( ? [X43] :
( ~ p1(X43)
& r1(X42,X43) )
| ! [X44] :
( ! [X45] :
( p1(X45)
| ~ r1(X44,X45) )
| ~ r1(X42,X44) )
| ~ r1(X41,X42) )
& ( ? [X46] :
( ! [X47] :
( ~ p1(X47)
| ! [X48] :
( p1(X48)
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
& ~ p1(X46)
& r1(X41,X46) )
| ! [X49] :
( ? [X50] :
( ~ p1(X50)
& r1(X49,X50) )
| ~ r1(X41,X49) )
| p1(X41) ) )
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X0,X38) ) ),
inference(rectify,[],[f12]) ).
fof(f35,plain,
( ? [X0] :
( ! [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ? [X6] :
( ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p1(X6)
& r1(X1,X6) )
| ! [X9] :
( ? [X10] :
( ~ p1(X10)
& r1(X9,X10) )
| ~ r1(X1,X9) )
| p1(X1) ) )
| ~ r1(X0,X1) )
& ! [X11] :
( ! [X12] :
( ( ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ( ? [X17] :
( ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
& ~ p1(X17)
& r1(X12,X17) )
| ! [X20] :
( ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
| ~ r1(X12,X20) )
| p1(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ? [X22] :
( ? [X23] :
( ? [X24] :
( ! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
| p1(X25)
| ~ r1(X24,X25) )
& ~ p1(X24)
& r1(X23,X24) )
& r1(X22,X23) )
& r1(X0,X22) )
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ( ( ? [X31] :
( ! [X32] :
( ~ p1(X32)
| ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
& ~ p1(X31)
& r1(X30,X31) )
| sP1(X30) )
& ! [X34] :
( ? [X35] :
( ~ p1(X35)
& r1(X34,X35) )
| ! [X36] :
( ! [X37] :
( p1(X37)
| ~ r1(X36,X37) )
| ~ r1(X34,X36) )
| ~ r1(X30,X34) )
& sP2(X30)
& sP3(X30) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) )
& ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ( ! [X42] :
( ? [X43] :
( ~ p1(X43)
& r1(X42,X43) )
| ! [X44] :
( ! [X45] :
( p1(X45)
| ~ r1(X44,X45) )
| ~ r1(X42,X44) )
| ~ r1(X41,X42) )
& ( ? [X46] :
( ! [X47] :
( ~ p1(X47)
| ! [X48] :
( p1(X48)
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
& ~ p1(X46)
& r1(X41,X46) )
| ! [X49] :
( ? [X50] :
( ~ p1(X50)
& r1(X49,X50) )
| ~ r1(X41,X49) )
| p1(X41) ) )
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X0,X38) ) )
=> ( ! [X1] :
( ( ! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ? [X6] :
( ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p1(X6)
& r1(X1,X6) )
| ! [X9] :
( ? [X10] :
( ~ p1(X10)
& r1(X9,X10) )
| ~ r1(X1,X9) )
| p1(X1) ) )
| ~ r1(sK13,X1) )
& ! [X11] :
( ! [X12] :
( ( ! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ( ? [X17] :
( ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
& ~ p1(X17)
& r1(X12,X17) )
| ! [X20] :
( ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
| ~ r1(X12,X20) )
| p1(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(sK13,X11) )
& ? [X22] :
( ? [X23] :
( ? [X24] :
( ! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
| p1(X25)
| ~ r1(X24,X25) )
& ~ p1(X24)
& r1(X23,X24) )
& r1(X22,X23) )
& r1(sK13,X22) )
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ( ( ? [X31] :
( ! [X32] :
( ~ p1(X32)
| ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
& ~ p1(X31)
& r1(X30,X31) )
| sP1(X30) )
& ! [X34] :
( ? [X35] :
( ~ p1(X35)
& r1(X34,X35) )
| ! [X36] :
( ! [X37] :
( p1(X37)
| ~ r1(X36,X37) )
| ~ r1(X34,X36) )
| ~ r1(X30,X34) )
& sP2(X30)
& sP3(X30) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(sK13,X28) )
& ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ( ! [X42] :
( ? [X43] :
( ~ p1(X43)
& r1(X42,X43) )
| ! [X44] :
( ! [X45] :
( p1(X45)
| ~ r1(X44,X45) )
| ~ r1(X42,X44) )
| ~ r1(X41,X42) )
& ( ? [X46] :
( ! [X47] :
( ~ p1(X47)
| ! [X48] :
( p1(X48)
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
& ~ p1(X46)
& r1(X41,X46) )
| ! [X49] :
( ? [X50] :
( ~ p1(X50)
& r1(X49,X50) )
| ~ r1(X41,X49) )
| p1(X41) ) )
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(sK13,X38) ) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X2] :
( ? [X3] :
( ~ p1(X3)
& r1(X2,X3) )
=> ( ~ p1(sK14(X2))
& r1(X2,sK14(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X1] :
( ? [X6] :
( ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p1(X6)
& r1(X1,X6) )
=> ( ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(sK15(X1),X7) )
& ~ p1(sK15(X1))
& r1(X1,sK15(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X9] :
( ? [X10] :
( ~ p1(X10)
& r1(X9,X10) )
=> ( ~ p1(sK16(X9))
& r1(X9,sK16(X9)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X13] :
( ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
=> ( ~ p1(sK17(X13))
& r1(X13,sK17(X13)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X12] :
( ? [X17] :
( ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
& ~ p1(X17)
& r1(X12,X17) )
=> ( ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(sK18(X12),X18) )
& ~ p1(sK18(X12))
& r1(X12,sK18(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X20] :
( ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
=> ( ~ p1(sK19(X20))
& r1(X20,sK19(X20)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
( ? [X22] :
( ? [X23] :
( ? [X24] :
( ! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
| p1(X25)
| ~ r1(X24,X25) )
& ~ p1(X24)
& r1(X23,X24) )
& r1(X22,X23) )
& r1(sK13,X22) )
=> ( ? [X23] :
( ? [X24] :
( ! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
| p1(X25)
| ~ r1(X24,X25) )
& ~ p1(X24)
& r1(X23,X24) )
& r1(sK20,X23) )
& r1(sK13,sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
( ? [X23] :
( ? [X24] :
( ! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
| p1(X25)
| ~ r1(X24,X25) )
& ~ p1(X24)
& r1(X23,X24) )
& r1(sK20,X23) )
=> ( ? [X24] :
( ! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
| p1(X25)
| ~ r1(X24,X25) )
& ~ p1(X24)
& r1(sK21,X24) )
& r1(sK20,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
( ? [X24] :
( ! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
| p1(X25)
| ~ r1(X24,X25) )
& ~ p1(X24)
& r1(sK21,X24) )
=> ( ! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
| p1(X25)
| ~ r1(sK22,X25) )
& ~ p1(sK22)
& r1(sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
=> ( p1(sK23(X25))
& ? [X27] :
( ~ p1(X27)
& r1(sK23(X25),X27) )
& r1(X25,sK23(X25)) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X25] :
( ? [X27] :
( ~ p1(X27)
& r1(sK23(X25),X27) )
=> ( ~ p1(sK24(X25))
& r1(sK23(X25),sK24(X25)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X30] :
( ? [X31] :
( ! [X32] :
( ~ p1(X32)
| ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
& ~ p1(X31)
& r1(X30,X31) )
=> ( ! [X32] :
( ~ p1(X32)
| ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(sK25(X30),X32) )
& ~ p1(sK25(X30))
& r1(X30,sK25(X30)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X34] :
( ? [X35] :
( ~ p1(X35)
& r1(X34,X35) )
=> ( ~ p1(sK26(X34))
& r1(X34,sK26(X34)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X42] :
( ? [X43] :
( ~ p1(X43)
& r1(X42,X43) )
=> ( ~ p1(sK27(X42))
& r1(X42,sK27(X42)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X41] :
( ? [X46] :
( ! [X47] :
( ~ p1(X47)
| ! [X48] :
( p1(X48)
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
& ~ p1(X46)
& r1(X41,X46) )
=> ( ! [X47] :
( ~ p1(X47)
| ! [X48] :
( p1(X48)
| ~ r1(X47,X48) )
| ~ r1(sK28(X41),X47) )
& ~ p1(sK28(X41))
& r1(X41,sK28(X41)) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X49] :
( ? [X50] :
( ~ p1(X50)
& r1(X49,X50) )
=> ( ~ p1(sK29(X49))
& r1(X49,sK29(X49)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
( ! [X1] :
( ( ! [X2] :
( ( ~ p1(sK14(X2))
& r1(X2,sK14(X2)) )
| ! [X4] :
( ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X2,X4) )
| ~ r1(X1,X2) )
& ( ( ! [X7] :
( ~ p1(X7)
| ! [X8] :
( p1(X8)
| ~ r1(X7,X8) )
| ~ r1(sK15(X1),X7) )
& ~ p1(sK15(X1))
& r1(X1,sK15(X1)) )
| ! [X9] :
( ( ~ p1(sK16(X9))
& r1(X9,sK16(X9)) )
| ~ r1(X1,X9) )
| p1(X1) ) )
| ~ r1(sK13,X1) )
& ! [X11] :
( ! [X12] :
( ( ! [X13] :
( ( ~ p1(sK17(X13))
& r1(X13,sK17(X13)) )
| ! [X15] :
( ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ( ( ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(sK18(X12),X18) )
& ~ p1(sK18(X12))
& r1(X12,sK18(X12)) )
| ! [X20] :
( ( ~ p1(sK19(X20))
& r1(X20,sK19(X20)) )
| ~ r1(X12,X20) )
| p1(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(sK13,X11) )
& ! [X25] :
( ( p1(sK23(X25))
& ~ p1(sK24(X25))
& r1(sK23(X25),sK24(X25))
& r1(X25,sK23(X25)) )
| p1(X25)
| ~ r1(sK22,X25) )
& ~ p1(sK22)
& r1(sK21,sK22)
& r1(sK20,sK21)
& r1(sK13,sK20)
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ( ( ( ! [X32] :
( ~ p1(X32)
| ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(sK25(X30),X32) )
& ~ p1(sK25(X30))
& r1(X30,sK25(X30)) )
| sP1(X30) )
& ! [X34] :
( ( ~ p1(sK26(X34))
& r1(X34,sK26(X34)) )
| ! [X36] :
( ! [X37] :
( p1(X37)
| ~ r1(X36,X37) )
| ~ r1(X34,X36) )
| ~ r1(X30,X34) )
& sP2(X30)
& sP3(X30) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(sK13,X28) )
& ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] :
( ( ! [X42] :
( ( ~ p1(sK27(X42))
& r1(X42,sK27(X42)) )
| ! [X44] :
( ! [X45] :
( p1(X45)
| ~ r1(X44,X45) )
| ~ r1(X42,X44) )
| ~ r1(X41,X42) )
& ( ( ! [X47] :
( ~ p1(X47)
| ! [X48] :
( p1(X48)
| ~ r1(X47,X48) )
| ~ r1(sK28(X41),X47) )
& ~ p1(sK28(X41))
& r1(X41,sK28(X41)) )
| ! [X49] :
( ( ~ p1(sK29(X49))
& r1(X49,sK29(X49)) )
| ~ r1(X41,X49) )
| p1(X41) ) )
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(sK13,X38) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29])],[f34,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35]) ).
fof(f53,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f54,plain,
! [X0,X1,X4] :
( sP0(X0)
| r1(X1,sK4(X1))
| ~ r1(X0,X1)
| ~ p1(X0)
| p1(X4)
| ~ r1(X0,X4)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f55,plain,
! [X0,X1,X4] :
( sP0(X0)
| r1(sK4(X1),sK5(X1))
| ~ r1(X0,X1)
| ~ p1(X0)
| p1(X4)
| ~ r1(X0,X4)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f56,plain,
! [X0,X1,X4] :
( sP0(X0)
| ~ p1(sK5(X1))
| ~ r1(X0,X1)
| ~ p1(X0)
| p1(X4)
| ~ r1(X0,X4)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f57,plain,
! [X0,X1,X4] :
( sP0(X0)
| p1(sK4(X1))
| ~ r1(X0,X1)
| ~ p1(X0)
| p1(X4)
| ~ r1(X0,X4)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f58,plain,
! [X0,X4] :
( r1(X0,sK6(X0))
| r1(X4,sK7(X4))
| ~ r1(X0,X4)
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f59,plain,
! [X0,X4] :
( r1(X0,sK6(X0))
| ~ p1(sK7(X4))
| ~ r1(X0,X4)
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f60,plain,
! [X0,X4] :
( ~ p1(sK6(X0))
| r1(X4,sK7(X4))
| ~ r1(X0,X4)
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f61,plain,
! [X0,X4] :
( ~ p1(sK6(X0))
| ~ p1(sK7(X4))
| ~ r1(X0,X4)
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f62,plain,
! [X2,X3,X0,X4] :
( ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(sK6(X0),X2)
| r1(X4,sK7(X4))
| ~ r1(X0,X4)
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f63,plain,
! [X2,X3,X0,X4] :
( ~ p1(X2)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(sK6(X0),X2)
| ~ p1(sK7(X4))
| ~ r1(X0,X4)
| p1(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f64,plain,
! [X2,X0,X1] :
( r1(X2,sK8(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f65,plain,
! [X2,X0,X1] :
( r1(sK8(X2),sK9(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ p1(sK9(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f67,plain,
! [X2,X0,X1] :
( p1(sK8(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f68,plain,
! [X0] :
( r1(X0,sK10(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f69,plain,
! [X0] :
( r1(sK10(X0),sK12(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f70,plain,
! [X0] :
( ~ p1(sK12(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f71,plain,
! [X0] :
( p1(sK10(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f72,plain,
! [X2,X0,X4,X5] :
( r1(X2,sK11(X2))
| ~ p1(X4)
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(X2,X4)
| ~ r1(sK10(X0),X2)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f73,plain,
! [X2,X0,X4,X5] :
( ~ p1(sK11(X2))
| ~ p1(X4)
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(X2,X4)
| ~ r1(sK10(X0),X2)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f74,plain,
! [X2,X0,X4,X5] :
( p1(X2)
| ~ p1(X4)
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(X2,X4)
| ~ r1(sK10(X0),X2)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f75,plain,
! [X40,X38,X41,X39,X49] :
( r1(X41,sK28(X41))
| r1(X49,sK29(X49))
| ~ r1(X41,X49)
| p1(X41)
| ~ r1(X40,X41)
| ~ r1(X39,X40)
| ~ r1(X38,X39)
| ~ r1(sK13,X38) ),
inference(cnf_transformation,[],[f52]) ).
fof(f76,plain,
! [X40,X38,X41,X39,X49] :
( r1(X41,sK28(X41))
| ~ p1(sK29(X49))
| ~ r1(X41,X49)
| p1(X41)
| ~ r1(X40,X41)
| ~ r1(X39,X40)
| ~ r1(X38,X39)
| ~ r1(sK13,X38) ),
inference(cnf_transformation,[],[f52]) ).
fof(f77,plain,
! [X40,X38,X41,X39,X49] :
( ~ p1(sK28(X41))
| r1(X49,sK29(X49))
| ~ r1(X41,X49)
| p1(X41)
| ~ r1(X40,X41)
| ~ r1(X39,X40)
| ~ r1(X38,X39)
| ~ r1(sK13,X38) ),
inference(cnf_transformation,[],[f52]) ).
fof(f78,plain,
! [X40,X38,X41,X39,X49] :
( ~ p1(sK28(X41))
| ~ p1(sK29(X49))
| ~ r1(X41,X49)
| p1(X41)
| ~ r1(X40,X41)
| ~ r1(X39,X40)
| ~ r1(X38,X39)
| ~ r1(sK13,X38) ),
inference(cnf_transformation,[],[f52]) ).
fof(f79,plain,
! [X40,X38,X41,X48,X39,X49,X47] :
( ~ p1(X47)
| p1(X48)
| ~ r1(X47,X48)
| ~ r1(sK28(X41),X47)
| r1(X49,sK29(X49))
| ~ r1(X41,X49)
| p1(X41)
| ~ r1(X40,X41)
| ~ r1(X39,X40)
| ~ r1(X38,X39)
| ~ r1(sK13,X38) ),
inference(cnf_transformation,[],[f52]) ).
fof(f80,plain,
! [X40,X38,X41,X48,X39,X49,X47] :
( ~ p1(X47)
| p1(X48)
| ~ r1(X47,X48)
| ~ r1(sK28(X41),X47)
| ~ p1(sK29(X49))
| ~ r1(X41,X49)
| p1(X41)
| ~ r1(X40,X41)
| ~ r1(X39,X40)
| ~ r1(X38,X39)
| ~ r1(sK13,X38) ),
inference(cnf_transformation,[],[f52]) ).
fof(f81,plain,
! [X40,X38,X41,X39,X44,X45,X42] :
( r1(X42,sK27(X42))
| p1(X45)
| ~ r1(X44,X45)
| ~ r1(X42,X44)
| ~ r1(X41,X42)
| ~ r1(X40,X41)
| ~ r1(X39,X40)
| ~ r1(X38,X39)
| ~ r1(sK13,X38) ),
inference(cnf_transformation,[],[f52]) ).
fof(f82,plain,
! [X40,X38,X41,X39,X44,X45,X42] :
( ~ p1(sK27(X42))
| p1(X45)
| ~ r1(X44,X45)
| ~ r1(X42,X44)
| ~ r1(X41,X42)
| ~ r1(X40,X41)
| ~ r1(X39,X40)
| ~ r1(X38,X39)
| ~ r1(sK13,X38) ),
inference(cnf_transformation,[],[f52]) ).
fof(f83,plain,
! [X28,X29,X30] :
( sP3(X30)
| ~ r1(X29,X30)
| ~ r1(X28,X29)
| ~ r1(sK13,X28) ),
inference(cnf_transformation,[],[f52]) ).
fof(f84,plain,
! [X28,X29,X30] :
( sP2(X30)
| ~ r1(X29,X30)
| ~ r1(X28,X29)
| ~ r1(sK13,X28) ),
inference(cnf_transformation,[],[f52]) ).
fof(f85,plain,
! [X28,X29,X36,X37,X34,X30] :
( r1(X34,sK26(X34))
| p1(X37)
| ~ r1(X36,X37)
| ~ r1(X34,X36)
| ~ r1(X30,X34)
| ~ r1(X29,X30)
| ~ r1(X28,X29)
| ~ r1(sK13,X28) ),
inference(cnf_transformation,[],[f52]) ).
fof(f86,plain,
! [X28,X29,X36,X37,X34,X30] :
( ~ p1(sK26(X34))
| p1(X37)
| ~ r1(X36,X37)
| ~ r1(X34,X36)
| ~ r1(X30,X34)
| ~ r1(X29,X30)
| ~ r1(X28,X29)
| ~ r1(sK13,X28) ),
inference(cnf_transformation,[],[f52]) ).
fof(f87,plain,
! [X28,X29,X30] :
( r1(X30,sK25(X30))
| sP1(X30)
| ~ r1(X29,X30)
| ~ r1(X28,X29)
| ~ r1(sK13,X28) ),
inference(cnf_transformation,[],[f52]) ).
fof(f88,plain,
! [X28,X29,X30] :
( ~ p1(sK25(X30))
| sP1(X30)
| ~ r1(X29,X30)
| ~ r1(X28,X29)
| ~ r1(sK13,X28) ),
inference(cnf_transformation,[],[f52]) ).
fof(f89,plain,
! [X28,X29,X32,X30,X33] :
( ~ p1(X32)
| p1(X33)
| ~ r1(X32,X33)
| ~ r1(sK25(X30),X32)
| sP1(X30)
| ~ r1(X29,X30)
| ~ r1(X28,X29)
| ~ r1(sK13,X28) ),
inference(cnf_transformation,[],[f52]) ).
fof(f90,plain,
r1(sK13,sK20),
inference(cnf_transformation,[],[f52]) ).
fof(f91,plain,
r1(sK20,sK21),
inference(cnf_transformation,[],[f52]) ).
fof(f92,plain,
r1(sK21,sK22),
inference(cnf_transformation,[],[f52]) ).
fof(f93,plain,
~ p1(sK22),
inference(cnf_transformation,[],[f52]) ).
fof(f94,plain,
! [X25] :
( r1(X25,sK23(X25))
| p1(X25)
| ~ r1(sK22,X25) ),
inference(cnf_transformation,[],[f52]) ).
fof(f95,plain,
! [X25] :
( r1(sK23(X25),sK24(X25))
| p1(X25)
| ~ r1(sK22,X25) ),
inference(cnf_transformation,[],[f52]) ).
fof(f96,plain,
! [X25] :
( ~ p1(sK24(X25))
| p1(X25)
| ~ r1(sK22,X25) ),
inference(cnf_transformation,[],[f52]) ).
fof(f97,plain,
! [X25] :
( p1(sK23(X25))
| p1(X25)
| ~ r1(sK22,X25) ),
inference(cnf_transformation,[],[f52]) ).
fof(f98,plain,
! [X11,X12,X20] :
( r1(X12,sK18(X12))
| r1(X20,sK19(X20))
| ~ r1(X12,X20)
| p1(X12)
| ~ r1(X11,X12)
| ~ r1(sK13,X11) ),
inference(cnf_transformation,[],[f52]) ).
fof(f99,plain,
! [X11,X12,X20] :
( r1(X12,sK18(X12))
| ~ p1(sK19(X20))
| ~ r1(X12,X20)
| p1(X12)
| ~ r1(X11,X12)
| ~ r1(sK13,X11) ),
inference(cnf_transformation,[],[f52]) ).
fof(f100,plain,
! [X11,X12,X20] :
( ~ p1(sK18(X12))
| r1(X20,sK19(X20))
| ~ r1(X12,X20)
| p1(X12)
| ~ r1(X11,X12)
| ~ r1(sK13,X11) ),
inference(cnf_transformation,[],[f52]) ).
fof(f101,plain,
! [X11,X12,X20] :
( ~ p1(sK18(X12))
| ~ p1(sK19(X20))
| ~ r1(X12,X20)
| p1(X12)
| ~ r1(X11,X12)
| ~ r1(sK13,X11) ),
inference(cnf_transformation,[],[f52]) ).
fof(f102,plain,
! [X11,X18,X19,X12,X20] :
( ~ p1(X18)
| p1(X19)
| ~ r1(X18,X19)
| ~ r1(sK18(X12),X18)
| r1(X20,sK19(X20))
| ~ r1(X12,X20)
| p1(X12)
| ~ r1(X11,X12)
| ~ r1(sK13,X11) ),
inference(cnf_transformation,[],[f52]) ).
fof(f103,plain,
! [X11,X18,X19,X12,X20] :
( ~ p1(X18)
| p1(X19)
| ~ r1(X18,X19)
| ~ r1(sK18(X12),X18)
| ~ p1(sK19(X20))
| ~ r1(X12,X20)
| p1(X12)
| ~ r1(X11,X12)
| ~ r1(sK13,X11) ),
inference(cnf_transformation,[],[f52]) ).
fof(f104,plain,
! [X11,X16,X15,X12,X13] :
( r1(X13,sK17(X13))
| p1(X16)
| ~ r1(X15,X16)
| ~ r1(X13,X15)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(sK13,X11) ),
inference(cnf_transformation,[],[f52]) ).
fof(f105,plain,
! [X11,X16,X15,X12,X13] :
( ~ p1(sK17(X13))
| p1(X16)
| ~ r1(X15,X16)
| ~ r1(X13,X15)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(sK13,X11) ),
inference(cnf_transformation,[],[f52]) ).
fof(f106,plain,
! [X1,X9] :
( r1(X1,sK15(X1))
| r1(X9,sK16(X9))
| ~ r1(X1,X9)
| p1(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f107,plain,
! [X1,X9] :
( r1(X1,sK15(X1))
| ~ p1(sK16(X9))
| ~ r1(X1,X9)
| p1(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f108,plain,
! [X1,X9] :
( ~ p1(sK15(X1))
| r1(X9,sK16(X9))
| ~ r1(X1,X9)
| p1(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f109,plain,
! [X1,X9] :
( ~ p1(sK15(X1))
| ~ p1(sK16(X9))
| ~ r1(X1,X9)
| p1(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f110,plain,
! [X1,X8,X9,X7] :
( ~ p1(X7)
| p1(X8)
| ~ r1(X7,X8)
| ~ r1(sK15(X1),X7)
| r1(X9,sK16(X9))
| ~ r1(X1,X9)
| p1(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f111,plain,
! [X1,X8,X9,X7] :
( ~ p1(X7)
| p1(X8)
| ~ r1(X7,X8)
| ~ r1(sK15(X1),X7)
| ~ p1(sK16(X9))
| ~ r1(X1,X9)
| p1(X1)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f112,plain,
! [X2,X1,X4,X5] :
( r1(X2,sK14(X2))
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(X2,X4)
| ~ r1(X1,X2)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f113,plain,
! [X2,X1,X4,X5] :
( ~ p1(sK14(X2))
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(X2,X4)
| ~ r1(X1,X2)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f52]) ).
cnf(c_49,plain,
r1(X0,X0),
inference(cnf_transformation,[],[f53]) ).
cnf(c_50,plain,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ p1(X0)
| ~ sP3(X0)
| p1(sK4(X1))
| sP0(X0)
| p1(X2) ),
inference(cnf_transformation,[],[f57]) ).
cnf(c_51,plain,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ p1(sK5(X1))
| ~ p1(X0)
| ~ sP3(X0)
| sP0(X0)
| p1(X2) ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_52,plain,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ p1(X0)
| ~ sP3(X0)
| r1(sK4(X1),sK5(X1))
| sP0(X0)
| p1(X2) ),
inference(cnf_transformation,[],[f55]) ).
cnf(c_53,plain,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ p1(X0)
| ~ sP3(X0)
| r1(X1,sK4(X1))
| sP0(X0)
| p1(X2) ),
inference(cnf_transformation,[],[f54]) ).
cnf(c_54,plain,
( ~ r1(sK6(X0),X1)
| ~ r1(X0,X2)
| ~ r1(X1,X3)
| ~ p1(sK7(X2))
| ~ p1(X1)
| ~ sP2(X0)
| p1(X0)
| p1(X3) ),
inference(cnf_transformation,[],[f63]) ).
cnf(c_55,plain,
( ~ r1(sK6(X0),X1)
| ~ r1(X0,X2)
| ~ r1(X1,X3)
| ~ p1(X1)
| ~ sP2(X0)
| r1(X2,sK7(X2))
| p1(X0)
| p1(X3) ),
inference(cnf_transformation,[],[f62]) ).
cnf(c_56,plain,
( ~ r1(X0,X1)
| ~ p1(sK6(X0))
| ~ p1(sK7(X1))
| ~ sP2(X0)
| p1(X0) ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_57,plain,
( ~ r1(X0,X1)
| ~ p1(sK6(X0))
| ~ sP2(X0)
| r1(X1,sK7(X1))
| p1(X0) ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_58,plain,
( ~ r1(X0,X1)
| ~ p1(sK7(X1))
| ~ sP2(X0)
| r1(X0,sK6(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f59]) ).
cnf(c_59,plain,
( ~ r1(X0,X1)
| ~ sP2(X0)
| r1(X0,sK6(X0))
| r1(X1,sK7(X1))
| p1(X0) ),
inference(cnf_transformation,[],[f58]) ).
cnf(c_60,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP1(X0)
| p1(sK8(X2))
| p1(X2) ),
inference(cnf_transformation,[],[f67]) ).
cnf(c_61,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ p1(sK9(X2))
| ~ sP1(X0)
| p1(X2) ),
inference(cnf_transformation,[],[f66]) ).
cnf(c_62,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP1(X0)
| r1(sK8(X2),sK9(X2))
| p1(X2) ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_63,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP1(X0)
| r1(X2,sK8(X2))
| p1(X2) ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_64,plain,
( ~ r1(sK10(X0),X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ sP0(X0)
| ~ p1(X2)
| p1(X1)
| p1(X3) ),
inference(cnf_transformation,[],[f74]) ).
cnf(c_65,plain,
( ~ r1(sK10(X0),X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ p1(sK11(X1))
| ~ sP0(X0)
| ~ p1(X2)
| p1(X3) ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_66,plain,
( ~ r1(sK10(X0),X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ sP0(X0)
| ~ p1(X2)
| r1(X1,sK11(X1))
| p1(X3) ),
inference(cnf_transformation,[],[f72]) ).
cnf(c_67,plain,
( ~ sP0(X0)
| p1(sK10(X0)) ),
inference(cnf_transformation,[],[f71]) ).
cnf(c_68,plain,
( ~ p1(sK12(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_69,plain,
( ~ sP0(X0)
| r1(sK10(X0),sK12(X0)) ),
inference(cnf_transformation,[],[f69]) ).
cnf(c_70,plain,
( ~ sP0(X0)
| r1(X0,sK10(X0)) ),
inference(cnf_transformation,[],[f68]) ).
cnf(c_71,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(sK13,X0)
| ~ p1(sK14(X1))
| p1(X3) ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_72,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(sK13,X0)
| r1(X1,sK14(X1))
| p1(X3) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_73,negated_conjecture,
( ~ r1(sK15(X0),X1)
| ~ r1(X0,X2)
| ~ r1(X1,X3)
| ~ r1(sK13,X0)
| ~ p1(sK16(X2))
| ~ p1(X1)
| p1(X0)
| p1(X3) ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_74,negated_conjecture,
( ~ r1(sK15(X0),X1)
| ~ r1(X0,X2)
| ~ r1(X1,X3)
| ~ r1(sK13,X0)
| ~ p1(X1)
| r1(X2,sK16(X2))
| p1(X0)
| p1(X3) ),
inference(cnf_transformation,[],[f110]) ).
cnf(c_75,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK13,X0)
| ~ p1(sK15(X0))
| ~ p1(sK16(X1))
| p1(X0) ),
inference(cnf_transformation,[],[f109]) ).
cnf(c_76,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK13,X0)
| ~ p1(sK15(X0))
| r1(X1,sK16(X1))
| p1(X0) ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_77,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK13,X0)
| ~ p1(sK16(X1))
| r1(X0,sK15(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_78,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK13,X0)
| r1(X0,sK15(X0))
| r1(X1,sK16(X1))
| p1(X0) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_79,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X3,X0)
| ~ r1(X4,X3)
| ~ r1(sK13,X4)
| ~ p1(sK17(X0))
| p1(X2) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_80,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X3,X0)
| ~ r1(X4,X3)
| ~ r1(sK13,X4)
| r1(X0,sK17(X0))
| p1(X2) ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_81,negated_conjecture,
( ~ r1(sK18(X0),X1)
| ~ r1(X0,X2)
| ~ r1(X1,X4)
| ~ r1(X3,X0)
| ~ r1(sK13,X3)
| ~ p1(sK19(X2))
| ~ p1(X1)
| p1(X0)
| p1(X4) ),
inference(cnf_transformation,[],[f103]) ).
cnf(c_82,negated_conjecture,
( ~ r1(sK18(X0),X1)
| ~ r1(X0,X2)
| ~ r1(X1,X4)
| ~ r1(X3,X0)
| ~ r1(sK13,X3)
| ~ p1(X1)
| r1(X2,sK19(X2))
| p1(X0)
| p1(X4) ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_83,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(sK13,X2)
| ~ p1(sK18(X0))
| ~ p1(sK19(X1))
| p1(X0) ),
inference(cnf_transformation,[],[f101]) ).
cnf(c_84,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(sK13,X2)
| ~ p1(sK18(X0))
| r1(X1,sK19(X1))
| p1(X0) ),
inference(cnf_transformation,[],[f100]) ).
cnf(c_85,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(sK13,X2)
| ~ p1(sK19(X1))
| r1(X0,sK18(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_86,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(sK13,X2)
| r1(X0,sK18(X0))
| r1(X1,sK19(X1))
| p1(X0) ),
inference(cnf_transformation,[],[f98]) ).
cnf(c_87,negated_conjecture,
( ~ r1(sK22,X0)
| p1(sK23(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f97]) ).
cnf(c_88,negated_conjecture,
( ~ r1(sK22,X0)
| ~ p1(sK24(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_89,negated_conjecture,
( ~ r1(sK22,X0)
| r1(sK23(X0),sK24(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f95]) ).
cnf(c_90,negated_conjecture,
( ~ r1(sK22,X0)
| r1(X0,sK23(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_91,negated_conjecture,
~ p1(sK22),
inference(cnf_transformation,[],[f93]) ).
cnf(c_92,negated_conjecture,
r1(sK21,sK22),
inference(cnf_transformation,[],[f92]) ).
cnf(c_93,negated_conjecture,
r1(sK20,sK21),
inference(cnf_transformation,[],[f91]) ).
cnf(c_94,negated_conjecture,
r1(sK13,sK20),
inference(cnf_transformation,[],[f90]) ).
cnf(c_95,negated_conjecture,
( ~ r1(sK25(X0),X1)
| ~ r1(X1,X2)
| ~ r1(X3,X0)
| ~ r1(X4,X3)
| ~ r1(sK13,X4)
| ~ p1(X1)
| p1(X2)
| sP1(X0) ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_96,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(sK13,X2)
| ~ p1(sK25(X1))
| sP1(X1) ),
inference(cnf_transformation,[],[f88]) ).
cnf(c_97,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(sK13,X2)
| r1(X1,sK25(X1))
| sP1(X1) ),
inference(cnf_transformation,[],[f87]) ).
cnf(c_98,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X4)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X4,X5)
| ~ r1(sK13,X3)
| ~ p1(sK26(X1))
| p1(X5) ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_99,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X4)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X4,X5)
| ~ r1(sK13,X3)
| r1(X1,sK26(X1))
| p1(X5) ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_100,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(sK13,X2)
| sP2(X1) ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_101,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(sK13,X2)
| sP3(X1) ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_102,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X3,X0)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(sK13,X6)
| ~ p1(sK27(X0))
| p1(X2) ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_103,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(X3,X0)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(sK13,X6)
| r1(X0,sK27(X0))
| p1(X2) ),
inference(cnf_transformation,[],[f81]) ).
cnf(c_104,negated_conjecture,
( ~ r1(sK28(X0),X1)
| ~ r1(X0,X2)
| ~ r1(X1,X6)
| ~ r1(X3,X0)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(sK13,X5)
| ~ p1(sK29(X2))
| ~ p1(X1)
| p1(X0)
| p1(X6) ),
inference(cnf_transformation,[],[f80]) ).
cnf(c_105,negated_conjecture,
( ~ r1(sK28(X0),X1)
| ~ r1(X0,X2)
| ~ r1(X1,X6)
| ~ r1(X3,X0)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(sK13,X5)
| ~ p1(X1)
| r1(X2,sK29(X2))
| p1(X0)
| p1(X6) ),
inference(cnf_transformation,[],[f79]) ).
cnf(c_106,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(sK13,X4)
| ~ p1(sK28(X0))
| ~ p1(sK29(X1))
| p1(X0) ),
inference(cnf_transformation,[],[f78]) ).
cnf(c_107,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(sK13,X4)
| ~ p1(sK28(X0))
| r1(X1,sK29(X1))
| p1(X0) ),
inference(cnf_transformation,[],[f77]) ).
cnf(c_108,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(sK13,X4)
| ~ p1(sK29(X1))
| r1(X0,sK28(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_109,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(sK13,X4)
| r1(X0,sK28(X0))
| r1(X1,sK29(X1))
| p1(X0) ),
inference(cnf_transformation,[],[f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL659+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 05:09:51 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.65/1.14 % SZS status Started for theBenchmark.p
% 1.65/1.14 % SZS status CounterSatisfiable for theBenchmark.p
% 1.65/1.14
% 1.65/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.65/1.14
% 1.65/1.14 ------ iProver source info
% 1.65/1.14
% 1.65/1.14 git: date: 2023-05-31 18:12:56 +0000
% 1.65/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.65/1.14 git: non_committed_changes: false
% 1.65/1.14 git: last_make_outside_of_git: false
% 1.65/1.14
% 1.65/1.14 ------ Parsing...
% 1.65/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.65/1.14
% 1.65/1.14 ------ Preprocessing... sf_s rm: 61 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.65/1.14
% 1.65/1.14 ------ Preprocessing...------ preprocesses with Option_epr_horn
% 1.65/1.14 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.65/1.14 ------ Proving...
% 1.65/1.14 ------ Problem Properties
% 1.65/1.14
% 1.65/1.14
% 1.65/1.14 clauses 0
% 1.65/1.14 conjectures 0
% 1.65/1.14 EPR 0
% 1.65/1.14 Horn 0
% 1.65/1.14 unary 0
% 1.65/1.14 binary 0
% 1.65/1.14 lits 0
% 1.65/1.14 lits eq 0
% 1.65/1.14 fd_pure 0
% 1.65/1.14 fd_pseudo 0
% 1.65/1.14 fd_cond 0
% 1.65/1.14 fd_pseudo_cond 0
% 1.65/1.14 AC symbols 0
% 1.65/1.14
% 1.65/1.14 ------ Schedule EPR Horn non eq is on
% 1.65/1.14
% 1.65/1.14 ------ no conjectures: strip conj schedule
% 1.65/1.14
% 1.65/1.14 ------ no equalities: superposition off
% 1.65/1.14
% 1.65/1.14 ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 1.65/1.14
% 1.65/1.14
% 1.65/1.14
% 1.65/1.14
% 1.65/1.14 % SZS status CounterSatisfiable for theBenchmark.p
% 1.65/1.14
% 1.65/1.14 % SZS output start Saturation for theBenchmark.p
% See solution above
% 1.65/1.15
% 1.65/1.15
%------------------------------------------------------------------------------