TSTP Solution File: LCL643+1.001 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL643+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 07:45:22 EDT 2023
% Result : CounterSatisfiable 1.56s 1.19s
% Output : Saturation 1.56s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(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) )
| p1(X0)
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| p3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(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) )
| p1(X0)
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| p3(X0) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ! [X5] :
( p2(X5)
| ~ r1(X1,X5) )
| ~ r1(X0,X1) )
& ( ~ ! [X6] :
( ~ ! [X7] :
( ~ ( ( ~ ! [X8] :
( ~ p2(X8)
| ! [X9] :
( p2(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| p2(X7) )
& ( ~ ! [X10] :
( ~ ! [X11] :
( ~ p2(X11)
| ! [X12] :
( p2(X12)
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| p2(X10)
| ~ r1(X7,X10) )
| ! [X13] :
( ! [X14] :
( ~ ! [X15] :
( ~ p2(X15)
| ! [X16] :
( p2(X16)
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| p2(X14)
| ~ r1(X13,X14) )
| ~ r1(X7,X13) ) ) )
| ! [X17] :
( ( ( ~ ! [X18] :
( ~ p2(X18)
| ! [X19] :
( p2(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| p2(X17) )
& ( ~ ! [X20] :
( ~ ! [X21] :
( ~ p2(X21)
| ! [X22] :
( p2(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| p2(X20)
| ~ r1(X17,X20) )
| ! [X23] :
( ! [X24] :
( ~ ! [X25] :
( ~ p2(X25)
| ! [X26] :
( p2(X26)
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| p2(X24)
| ~ r1(X23,X24) )
| ~ r1(X17,X23) ) ) )
| ~ r1(X7,X17) )
| ~ r1(X6,X7) )
| ( ( ~ ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X6,X27) )
| p2(X6) )
& ( ~ ! [X29] :
( ~ ! [X30] :
( ~ p2(X30)
| ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| p2(X29)
| ~ r1(X6,X29) )
| ! [X32] :
( ! [X33] :
( ~ ! [X34] :
( ~ p2(X34)
| ! [X35] :
( p2(X35)
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
| p2(X33)
| ~ r1(X32,X33) )
| ~ r1(X6,X32) ) ) )
| ~ r1(X0,X6) )
| ! [X36] :
( ( ( ~ ! [X37] :
( ~ p2(X37)
| ! [X38] :
( p2(X38)
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| p2(X36) )
& ( ~ ! [X39] :
( ~ ! [X40] :
( ~ p2(X40)
| ! [X41] :
( p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| p2(X39)
| ~ r1(X36,X39) )
| ! [X42] :
( ! [X43] :
( ~ ! [X44] :
( ~ p2(X44)
| ! [X45] :
( p2(X45)
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X36,X42) ) ) )
| ~ r1(X0,X36) ) ) )
| ~ ! [X46] :
( ~ ! [X47] :
( ~ p1(X47)
| ! [X48] :
( p1(X48)
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| p1(X46)
| ~ r1(X0,X46) )
| p1(X0)
| ~ ! [X49] :
( ~ ! [X50] :
( ~ p2(X50)
| ! [X51] :
( p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| p2(X49)
| ~ r1(X0,X49) )
| p2(X0)
| ~ ! [X52] :
( ~ ! [X53] :
( ~ p3(X53)
| ! [X54] :
( p3(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| p3(X52)
| ~ r1(X0,X52) )
| p3(X0) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ! [X5] :
( p2(X5)
| ~ r1(X1,X5) )
| ~ r1(X0,X1) )
& ( ~ ! [X6] :
( ~ ! [X7] :
( ~ ( ( ~ ! [X8] :
( ~ p2(X8)
| ! [X9] :
( p2(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| p2(X7) )
& ( ~ ! [X10] :
( ~ ! [X11] :
( ~ p2(X11)
| ! [X12] :
( p2(X12)
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
| p2(X10)
| ~ r1(X7,X10) )
| ! [X13] :
( ! [X14] :
( ~ ! [X15] :
( ~ p2(X15)
| ! [X16] :
( p2(X16)
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| p2(X14)
| ~ r1(X13,X14) )
| ~ r1(X7,X13) ) ) )
| ! [X17] :
( ( ( ~ ! [X18] :
( ~ p2(X18)
| ! [X19] :
( p2(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| p2(X17) )
& ( ~ ! [X20] :
( ~ ! [X21] :
( ~ p2(X21)
| ! [X22] :
( p2(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
| p2(X20)
| ~ r1(X17,X20) )
| ! [X23] :
( ! [X24] :
( ~ ! [X25] :
( ~ p2(X25)
| ! [X26] :
( p2(X26)
| ~ r1(X25,X26) )
| ~ r1(X24,X25) )
| p2(X24)
| ~ r1(X23,X24) )
| ~ r1(X17,X23) ) ) )
| ~ r1(X7,X17) )
| ~ r1(X6,X7) )
| ( ( ~ ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X6,X27) )
| p2(X6) )
& ( ~ ! [X29] :
( ~ ! [X30] :
( ~ p2(X30)
| ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| p2(X29)
| ~ r1(X6,X29) )
| ! [X32] :
( ! [X33] :
( ~ ! [X34] :
( ~ p2(X34)
| ! [X35] :
( p2(X35)
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
| p2(X33)
| ~ r1(X32,X33) )
| ~ r1(X6,X32) ) ) )
| ~ r1(X0,X6) )
| ! [X36] :
( ( ( ~ ! [X37] :
( ~ p2(X37)
| ! [X38] :
( p2(X38)
| ~ r1(X37,X38) )
| ~ r1(X36,X37) )
| p2(X36) )
& ( ~ ! [X39] :
( ~ ! [X40] :
( ~ p2(X40)
| ! [X41] :
( p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
| p2(X39)
| ~ r1(X36,X39) )
| ! [X42] :
( ! [X43] :
( ~ ! [X44] :
( ~ p2(X44)
| ! [X45] :
( p2(X45)
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X36,X42) ) ) )
| ~ r1(X0,X36) ) ) )
| ~ ! [X46] :
( ~ ! [X47] :
( ~ p1(X47)
| ! [X48] :
( p1(X48)
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| p1(X46)
| ~ r1(X0,X46) )
| p1(X0)
| ~ ! [X49] :
( ~ ! [X50] :
( ~ p2(X50)
| ! [X51] :
( p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X49,X50) )
| p2(X49)
| ~ r1(X0,X49) )
| p2(X0)
| ~ ! [X52] :
( ~ ! [X53] :
( ~ p3(X53)
| ! [X54] :
( p3(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| p3(X52)
| ~ r1(X0,X52) )
| p3(X0) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| ! [X5] :
( p2(X5)
| ~ r1(X1,X5) )
| ~ r1(X0,X1) )
& ( ? [X6] :
( ! [X7] :
( ( ! [X8] :
( ~ p2(X8)
| ! [X9] :
( p2(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
& ~ p2(X7) )
| ( ! [X10] :
( ? [X11] :
( p2(X11)
& ? [X12] :
( ~ p2(X12)
& r1(X11,X12) )
& r1(X10,X11) )
| p2(X10)
| ~ r1(X7,X10) )
& ? [X13] :
( ? [X14] :
( ! [X15] :
( ~ p2(X15)
| ! [X16] :
( p2(X16)
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
& ~ p2(X14)
& r1(X13,X14) )
& r1(X7,X13) ) )
| ! [X17] :
( ( ( ? [X18] :
( p2(X18)
& ? [X19] :
( ~ p2(X19)
& r1(X18,X19) )
& r1(X17,X18) )
| p2(X17) )
& ( ? [X20] :
( ! [X21] :
( ~ p2(X21)
| ! [X22] :
( p2(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& ~ p2(X20)
& r1(X17,X20) )
| ! [X23] :
( ! [X24] :
( ? [X25] :
( p2(X25)
& ? [X26] :
( ~ p2(X26)
& r1(X25,X26) )
& r1(X24,X25) )
| p2(X24)
| ~ r1(X23,X24) )
| ~ r1(X17,X23) ) ) )
| ~ r1(X7,X17) )
| ~ r1(X6,X7) )
& ( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X6,X27) )
& ~ p2(X6) )
| ( ! [X29] :
( ? [X30] :
( p2(X30)
& ? [X31] :
( ~ p2(X31)
& r1(X30,X31) )
& r1(X29,X30) )
| p2(X29)
| ~ r1(X6,X29) )
& ? [X32] :
( ? [X33] :
( ! [X34] :
( ~ p2(X34)
| ! [X35] :
( p2(X35)
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
& ~ p2(X33)
& r1(X32,X33) )
& r1(X6,X32) ) ) )
& r1(X0,X6) )
| ! [X36] :
( ( ( ? [X37] :
( p2(X37)
& ? [X38] :
( ~ p2(X38)
& r1(X37,X38) )
& r1(X36,X37) )
| p2(X36) )
& ( ? [X39] :
( ! [X40] :
( ~ p2(X40)
| ! [X41] :
( p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
& ~ p2(X39)
& r1(X36,X39) )
| ! [X42] :
( ! [X43] :
( ? [X44] :
( p2(X44)
& ? [X45] :
( ~ p2(X45)
& r1(X44,X45) )
& r1(X43,X44) )
| p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X36,X42) ) ) )
| ~ r1(X0,X36) ) )
& ! [X46] :
( ? [X47] :
( p1(X47)
& ? [X48] :
( ~ p1(X48)
& r1(X47,X48) )
& r1(X46,X47) )
| p1(X46)
| ~ r1(X0,X46) )
& ~ p1(X0)
& ! [X49] :
( ? [X50] :
( p2(X50)
& ? [X51] :
( ~ p2(X51)
& r1(X50,X51) )
& r1(X49,X50) )
| p2(X49)
| ~ r1(X0,X49) )
& ~ p2(X0)
& ! [X52] :
( ? [X53] :
( p3(X53)
& ? [X54] :
( ~ p3(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p3(X52)
| ~ r1(X0,X52) )
& ~ p3(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| ! [X5] :
( p2(X5)
| ~ r1(X1,X5) )
| ~ r1(X0,X1) )
& ( ? [X6] :
( ! [X7] :
( ( ! [X8] :
( ~ p2(X8)
| ! [X9] :
( p2(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
& ~ p2(X7) )
| ( ! [X10] :
( ? [X11] :
( p2(X11)
& ? [X12] :
( ~ p2(X12)
& r1(X11,X12) )
& r1(X10,X11) )
| p2(X10)
| ~ r1(X7,X10) )
& ? [X13] :
( ? [X14] :
( ! [X15] :
( ~ p2(X15)
| ! [X16] :
( p2(X16)
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
& ~ p2(X14)
& r1(X13,X14) )
& r1(X7,X13) ) )
| ! [X17] :
( ( ( ? [X18] :
( p2(X18)
& ? [X19] :
( ~ p2(X19)
& r1(X18,X19) )
& r1(X17,X18) )
| p2(X17) )
& ( ? [X20] :
( ! [X21] :
( ~ p2(X21)
| ! [X22] :
( p2(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& ~ p2(X20)
& r1(X17,X20) )
| ! [X23] :
( ! [X24] :
( ? [X25] :
( p2(X25)
& ? [X26] :
( ~ p2(X26)
& r1(X25,X26) )
& r1(X24,X25) )
| p2(X24)
| ~ r1(X23,X24) )
| ~ r1(X17,X23) ) ) )
| ~ r1(X7,X17) )
| ~ r1(X6,X7) )
& ( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X6,X27) )
& ~ p2(X6) )
| ( ! [X29] :
( ? [X30] :
( p2(X30)
& ? [X31] :
( ~ p2(X31)
& r1(X30,X31) )
& r1(X29,X30) )
| p2(X29)
| ~ r1(X6,X29) )
& ? [X32] :
( ? [X33] :
( ! [X34] :
( ~ p2(X34)
| ! [X35] :
( p2(X35)
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
& ~ p2(X33)
& r1(X32,X33) )
& r1(X6,X32) ) ) )
& r1(X0,X6) )
| ! [X36] :
( ( ( ? [X37] :
( p2(X37)
& ? [X38] :
( ~ p2(X38)
& r1(X37,X38) )
& r1(X36,X37) )
| p2(X36) )
& ( ? [X39] :
( ! [X40] :
( ~ p2(X40)
| ! [X41] :
( p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
& ~ p2(X39)
& r1(X36,X39) )
| ! [X42] :
( ! [X43] :
( ? [X44] :
( p2(X44)
& ? [X45] :
( ~ p2(X45)
& r1(X44,X45) )
& r1(X43,X44) )
| p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X36,X42) ) ) )
| ~ r1(X0,X36) ) )
& ! [X46] :
( ? [X47] :
( p1(X47)
& ? [X48] :
( ~ p1(X48)
& r1(X47,X48) )
& r1(X46,X47) )
| p1(X46)
| ~ r1(X0,X46) )
& ~ p1(X0)
& ! [X49] :
( ? [X50] :
( p2(X50)
& ? [X51] :
( ~ p2(X51)
& r1(X50,X51) )
& r1(X49,X50) )
| p2(X49)
| ~ r1(X0,X49) )
& ~ p2(X0)
& ! [X52] :
( ? [X53] :
( p3(X53)
& ? [X54] :
( ~ p3(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p3(X52)
| ~ r1(X0,X52) )
& ~ p3(X0) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
! [X36] :
( ! [X42] :
( ! [X43] :
( ? [X44] :
( p2(X44)
& ? [X45] :
( ~ p2(X45)
& r1(X44,X45) )
& r1(X43,X44) )
| p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X36,X42) )
| ~ sP0(X36) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,plain,
! [X6] :
( ( ! [X29] :
( ? [X30] :
( p2(X30)
& ? [X31] :
( ~ p2(X31)
& r1(X30,X31) )
& r1(X29,X30) )
| p2(X29)
| ~ r1(X6,X29) )
& ? [X32] :
( ? [X33] :
( ! [X34] :
( ~ p2(X34)
| ! [X35] :
( p2(X35)
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
& ~ p2(X33)
& r1(X32,X33) )
& r1(X6,X32) ) )
| ~ sP1(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f9,plain,
! [X17] :
( ! [X23] :
( ! [X24] :
( ? [X25] :
( p2(X25)
& ? [X26] :
( ~ p2(X26)
& r1(X25,X26) )
& r1(X24,X25) )
| p2(X24)
| ~ r1(X23,X24) )
| ~ r1(X17,X23) )
| ~ sP2(X17) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f10,plain,
! [X7] :
( ( ! [X10] :
( ? [X11] :
( p2(X11)
& ? [X12] :
( ~ p2(X12)
& r1(X11,X12) )
& r1(X10,X11) )
| p2(X10)
| ~ r1(X7,X10) )
& ? [X13] :
( ? [X14] :
( ! [X15] :
( ~ p2(X15)
| ! [X16] :
( p2(X16)
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
& ~ p2(X14)
& r1(X13,X14) )
& r1(X7,X13) ) )
| ~ sP3(X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f11,plain,
! [X7] :
( ! [X17] :
( ( ( ? [X18] :
( p2(X18)
& ? [X19] :
( ~ p2(X19)
& r1(X18,X19) )
& r1(X17,X18) )
| p2(X17) )
& ( ? [X20] :
( ! [X21] :
( ~ p2(X21)
| ! [X22] :
( p2(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& ~ p2(X20)
& r1(X17,X20) )
| sP2(X17) ) )
| ~ r1(X7,X17) )
| ~ sP4(X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f12,plain,
! [X0] :
( ! [X36] :
( ( ( ? [X37] :
( p2(X37)
& ? [X38] :
( ~ p2(X38)
& r1(X37,X38) )
& r1(X36,X37) )
| p2(X36) )
& ( ? [X39] :
( ! [X40] :
( ~ p2(X40)
| ! [X41] :
( p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
& ~ p2(X39)
& r1(X36,X39) )
| sP0(X36) ) )
| ~ r1(X0,X36) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f13,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| ! [X5] :
( p2(X5)
| ~ r1(X1,X5) )
| ~ r1(X0,X1) )
& ( ? [X6] :
( ! [X7] :
( ( ! [X8] :
( ~ p2(X8)
| ! [X9] :
( p2(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
& ~ p2(X7) )
| sP3(X7)
| sP4(X7)
| ~ r1(X6,X7) )
& ( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X6,X27) )
& ~ p2(X6) )
| sP1(X6) )
& r1(X0,X6) )
| sP5(X0) )
& ! [X46] :
( ? [X47] :
( p1(X47)
& ? [X48] :
( ~ p1(X48)
& r1(X47,X48) )
& r1(X46,X47) )
| p1(X46)
| ~ r1(X0,X46) )
& ~ p1(X0)
& ! [X49] :
( ? [X50] :
( p2(X50)
& ? [X51] :
( ~ p2(X51)
& r1(X50,X51) )
& r1(X49,X50) )
| p2(X49)
| ~ r1(X0,X49) )
& ~ p2(X0)
& ! [X52] :
( ? [X53] :
( p3(X53)
& ? [X54] :
( ~ p3(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p3(X52)
| ~ r1(X0,X52) )
& ~ p3(X0) ),
inference(definition_folding,[],[f6,f12,f11,f10,f9,f8,f7]) ).
fof(f14,plain,
! [X0] :
( ! [X36] :
( ( ( ? [X37] :
( p2(X37)
& ? [X38] :
( ~ p2(X38)
& r1(X37,X38) )
& r1(X36,X37) )
| p2(X36) )
& ( ? [X39] :
( ! [X40] :
( ~ p2(X40)
| ! [X41] :
( p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X39,X40) )
& ~ p2(X39)
& r1(X36,X39) )
| sP0(X36) ) )
| ~ r1(X0,X36) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f12]) ).
fof(f15,plain,
! [X0] :
( ! [X1] :
( ( ( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1) )
& ( ? [X4] :
( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
& ~ p2(X4)
& r1(X1,X4) )
| sP0(X1) ) )
| ~ r1(X0,X1) )
| ~ sP5(X0) ),
inference(rectify,[],[f14]) ).
fof(f16,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK6(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK6(X1),X3) )
& r1(X1,sK6(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK6(X1),X3) )
=> ( ~ p2(sK7(X1))
& r1(sK6(X1),sK7(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X1] :
( ? [X4] :
( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
& ~ p2(X4)
& r1(X1,X4) )
=> ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(sK8(X1),X5) )
& ~ p2(sK8(X1))
& r1(X1,sK8(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( ! [X1] :
( ( ( ( p2(sK6(X1))
& ~ p2(sK7(X1))
& r1(sK6(X1),sK7(X1))
& r1(X1,sK6(X1)) )
| p2(X1) )
& ( ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(sK8(X1),X5) )
& ~ p2(sK8(X1))
& r1(X1,sK8(X1)) )
| sP0(X1) ) )
| ~ r1(X0,X1) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f15,f18,f17,f16]) ).
fof(f20,plain,
! [X7] :
( ! [X17] :
( ( ( ? [X18] :
( p2(X18)
& ? [X19] :
( ~ p2(X19)
& r1(X18,X19) )
& r1(X17,X18) )
| p2(X17) )
& ( ? [X20] :
( ! [X21] :
( ~ p2(X21)
| ! [X22] :
( p2(X22)
| ~ r1(X21,X22) )
| ~ r1(X20,X21) )
& ~ p2(X20)
& r1(X17,X20) )
| sP2(X17) ) )
| ~ r1(X7,X17) )
| ~ sP4(X7) ),
inference(nnf_transformation,[],[f11]) ).
fof(f21,plain,
! [X0] :
( ! [X1] :
( ( ( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1) )
& ( ? [X4] :
( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
& ~ p2(X4)
& r1(X1,X4) )
| sP2(X1) ) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(rectify,[],[f20]) ).
fof(f22,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK9(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK9(X1),X3) )
& r1(X1,sK9(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK9(X1),X3) )
=> ( ~ p2(sK10(X1))
& r1(sK9(X1),sK10(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X1] :
( ? [X4] :
( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
& ~ p2(X4)
& r1(X1,X4) )
=> ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(sK11(X1),X5) )
& ~ p2(sK11(X1))
& r1(X1,sK11(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( ( ( ( p2(sK9(X1))
& ~ p2(sK10(X1))
& r1(sK9(X1),sK10(X1))
& r1(X1,sK9(X1)) )
| p2(X1) )
& ( ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(sK11(X1),X5) )
& ~ p2(sK11(X1))
& r1(X1,sK11(X1)) )
| sP2(X1) ) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f21,f24,f23,f22]) ).
fof(f26,plain,
! [X7] :
( ( ! [X10] :
( ? [X11] :
( p2(X11)
& ? [X12] :
( ~ p2(X12)
& r1(X11,X12) )
& r1(X10,X11) )
| p2(X10)
| ~ r1(X7,X10) )
& ? [X13] :
( ? [X14] :
( ! [X15] :
( ~ p2(X15)
| ! [X16] :
( p2(X16)
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
& ~ p2(X14)
& r1(X13,X14) )
& r1(X7,X13) ) )
| ~ sP3(X7) ),
inference(nnf_transformation,[],[f10]) ).
fof(f27,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f26]) ).
fof(f28,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK12(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK12(X1),X3) )
& r1(X1,sK12(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK12(X1),X3) )
=> ( ~ p2(sK13(X1))
& r1(sK12(X1),sK13(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) )
=> ( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK14(X0),X5) )
& r1(X0,sK14(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK14(X0),X5) )
=> ( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK15(X0),X6) )
& ~ p2(sK15(X0))
& r1(sK14(X0),sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK12(X1))
& ~ p2(sK13(X1))
& r1(sK12(X1),sK13(X1))
& r1(X1,sK12(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK15(X0),X6) )
& ~ p2(sK15(X0))
& r1(sK14(X0),sK15(X0))
& r1(X0,sK14(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15])],[f27,f31,f30,f29,f28]) ).
fof(f33,plain,
! [X17] :
( ! [X23] :
( ! [X24] :
( ? [X25] :
( p2(X25)
& ? [X26] :
( ~ p2(X26)
& r1(X25,X26) )
& r1(X24,X25) )
| p2(X24)
| ~ r1(X23,X24) )
| ~ r1(X17,X23) )
| ~ sP2(X17) ),
inference(nnf_transformation,[],[f9]) ).
fof(f34,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP2(X0) ),
inference(rectify,[],[f33]) ).
fof(f35,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p2(sK16(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK16(X2),X4) )
& r1(X2,sK16(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK16(X2),X4) )
=> ( ~ p2(sK17(X2))
& r1(sK16(X2),sK17(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK16(X2))
& ~ p2(sK17(X2))
& r1(sK16(X2),sK17(X2))
& r1(X2,sK16(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f34,f36,f35]) ).
fof(f38,plain,
! [X6] :
( ( ! [X29] :
( ? [X30] :
( p2(X30)
& ? [X31] :
( ~ p2(X31)
& r1(X30,X31) )
& r1(X29,X30) )
| p2(X29)
| ~ r1(X6,X29) )
& ? [X32] :
( ? [X33] :
( ! [X34] :
( ~ p2(X34)
| ! [X35] :
( p2(X35)
| ~ r1(X34,X35) )
| ~ r1(X33,X34) )
& ~ p2(X33)
& r1(X32,X33) )
& r1(X6,X32) ) )
| ~ sP1(X6) ),
inference(nnf_transformation,[],[f8]) ).
fof(f39,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f38]) ).
fof(f40,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK18(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK18(X1),X3) )
& r1(X1,sK18(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK18(X1),X3) )
=> ( ~ p2(sK19(X1))
& r1(sK18(X1),sK19(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) )
=> ( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK20(X0),X5) )
& r1(X0,sK20(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK20(X0),X5) )
=> ( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK21(X0),X6) )
& ~ p2(sK21(X0))
& r1(sK20(X0),sK21(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK18(X1))
& ~ p2(sK19(X1))
& r1(sK18(X1),sK19(X1))
& r1(X1,sK18(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK21(X0),X6) )
& ~ p2(sK21(X0))
& r1(sK20(X0),sK21(X0))
& r1(X0,sK20(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f39,f43,f42,f41,f40]) ).
fof(f45,plain,
! [X36] :
( ! [X42] :
( ! [X43] :
( ? [X44] :
( p2(X44)
& ? [X45] :
( ~ p2(X45)
& r1(X44,X45) )
& r1(X43,X44) )
| p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X36,X42) )
| ~ sP0(X36) ),
inference(nnf_transformation,[],[f7]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p2(sK22(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK22(X2),X4) )
& r1(X2,sK22(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK22(X2),X4) )
=> ( ~ p2(sK23(X2))
& r1(sK22(X2),sK23(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK22(X2))
& ~ p2(sK23(X2))
& r1(sK22(X2),sK23(X2))
& r1(X2,sK22(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f46,f48,f47]) ).
fof(f50,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| ! [X5] :
( p2(X5)
| ~ r1(X1,X5) )
| ~ r1(X0,X1) )
& ( ? [X6] :
( ! [X7] :
( ( ! [X8] :
( ~ p2(X8)
| ! [X9] :
( p2(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
& ~ p2(X7) )
| sP3(X7)
| sP4(X7)
| ~ r1(X6,X7) )
& ( ( ! [X10] :
( ~ p2(X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X6,X10) )
& ~ p2(X6) )
| sP1(X6) )
& r1(X0,X6) )
| sP5(X0) )
& ! [X12] :
( ? [X13] :
( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
& r1(X12,X13) )
| p1(X12)
| ~ r1(X0,X12) )
& ~ p1(X0)
& ! [X15] :
( ? [X16] :
( p2(X16)
& ? [X17] :
( ~ p2(X17)
& r1(X16,X17) )
& r1(X15,X16) )
| p2(X15)
| ~ r1(X0,X15) )
& ~ p2(X0)
& ! [X18] :
( ? [X19] :
( p3(X19)
& ? [X20] :
( ~ p3(X20)
& r1(X19,X20) )
& r1(X18,X19) )
| p3(X18)
| ~ r1(X0,X18) )
& ~ p3(X0) ),
inference(rectify,[],[f13]) ).
fof(f51,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| ! [X5] :
( p2(X5)
| ~ r1(X1,X5) )
| ~ r1(X0,X1) )
& ( ? [X6] :
( ! [X7] :
( ( ! [X8] :
( ~ p2(X8)
| ! [X9] :
( p2(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
& ~ p2(X7) )
| sP3(X7)
| sP4(X7)
| ~ r1(X6,X7) )
& ( ( ! [X10] :
( ~ p2(X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X6,X10) )
& ~ p2(X6) )
| sP1(X6) )
& r1(X0,X6) )
| sP5(X0) )
& ! [X12] :
( ? [X13] :
( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
& r1(X12,X13) )
| p1(X12)
| ~ r1(X0,X12) )
& ~ p1(X0)
& ! [X15] :
( ? [X16] :
( p2(X16)
& ? [X17] :
( ~ p2(X17)
& r1(X16,X17) )
& r1(X15,X16) )
| p2(X15)
| ~ r1(X0,X15) )
& ~ p2(X0)
& ! [X18] :
( ? [X19] :
( p3(X19)
& ? [X20] :
( ~ p3(X20)
& r1(X19,X20) )
& r1(X18,X19) )
| p3(X18)
| ~ r1(X0,X18) )
& ~ p3(X0) )
=> ( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| ! [X5] :
( p2(X5)
| ~ r1(X1,X5) )
| ~ r1(sK24,X1) )
& ( ? [X6] :
( ! [X7] :
( ( ! [X8] :
( ~ p2(X8)
| ! [X9] :
( p2(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
& ~ p2(X7) )
| sP3(X7)
| sP4(X7)
| ~ r1(X6,X7) )
& ( ( ! [X10] :
( ~ p2(X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X6,X10) )
& ~ p2(X6) )
| sP1(X6) )
& r1(sK24,X6) )
| sP5(sK24) )
& ! [X12] :
( ? [X13] :
( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
& r1(X12,X13) )
| p1(X12)
| ~ r1(sK24,X12) )
& ~ p1(sK24)
& ! [X15] :
( ? [X16] :
( p2(X16)
& ? [X17] :
( ~ p2(X17)
& r1(X16,X17) )
& r1(X15,X16) )
| p2(X15)
| ~ r1(sK24,X15) )
& ~ p2(sK24)
& ! [X18] :
( ? [X19] :
( p3(X19)
& ? [X20] :
( ~ p3(X20)
& r1(X19,X20) )
& r1(X18,X19) )
| p3(X18)
| ~ r1(sK24,X18) )
& ~ p3(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK25(X1),X3) )
& ~ p2(sK25(X1))
& r1(X1,sK25(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
( ? [X6] :
( ! [X7] :
( ( ! [X8] :
( ~ p2(X8)
| ! [X9] :
( p2(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
& ~ p2(X7) )
| sP3(X7)
| sP4(X7)
| ~ r1(X6,X7) )
& ( ( ! [X10] :
( ~ p2(X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X6,X10) )
& ~ p2(X6) )
| sP1(X6) )
& r1(sK24,X6) )
=> ( ! [X7] :
( ( ! [X8] :
( ~ p2(X8)
| ! [X9] :
( p2(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
& ~ p2(X7) )
| sP3(X7)
| sP4(X7)
| ~ r1(sK26,X7) )
& ( ( ! [X10] :
( ~ p2(X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ r1(sK26,X10) )
& ~ p2(sK26) )
| sP1(sK26) )
& r1(sK24,sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X12] :
( ? [X13] :
( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
& r1(X12,X13) )
=> ( p1(sK27(X12))
& ? [X14] :
( ~ p1(X14)
& r1(sK27(X12),X14) )
& r1(X12,sK27(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X12] :
( ? [X14] :
( ~ p1(X14)
& r1(sK27(X12),X14) )
=> ( ~ p1(sK28(X12))
& r1(sK27(X12),sK28(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X15] :
( ? [X16] :
( p2(X16)
& ? [X17] :
( ~ p2(X17)
& r1(X16,X17) )
& r1(X15,X16) )
=> ( p2(sK29(X15))
& ? [X17] :
( ~ p2(X17)
& r1(sK29(X15),X17) )
& r1(X15,sK29(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X15] :
( ? [X17] :
( ~ p2(X17)
& r1(sK29(X15),X17) )
=> ( ~ p2(sK30(X15))
& r1(sK29(X15),sK30(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X18] :
( ? [X19] :
( p3(X19)
& ? [X20] :
( ~ p3(X20)
& r1(X19,X20) )
& r1(X18,X19) )
=> ( p3(sK31(X18))
& ? [X20] :
( ~ p3(X20)
& r1(sK31(X18),X20) )
& r1(X18,sK31(X18)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X18] :
( ? [X20] :
( ~ p3(X20)
& r1(sK31(X18),X20) )
=> ( ~ p3(sK32(X18))
& r1(sK31(X18),sK32(X18)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK25(X1),X3) )
& ~ p2(sK25(X1))
& r1(X1,sK25(X1)) )
| ! [X5] :
( p2(X5)
| ~ r1(X1,X5) )
| ~ r1(sK24,X1) )
& ( ( ! [X7] :
( ( ! [X8] :
( ~ p2(X8)
| ! [X9] :
( p2(X9)
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
& ~ p2(X7) )
| sP3(X7)
| sP4(X7)
| ~ r1(sK26,X7) )
& ( ( ! [X10] :
( ~ p2(X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ r1(sK26,X10) )
& ~ p2(sK26) )
| sP1(sK26) )
& r1(sK24,sK26) )
| sP5(sK24) )
& ! [X12] :
( ( p1(sK27(X12))
& ~ p1(sK28(X12))
& r1(sK27(X12),sK28(X12))
& r1(X12,sK27(X12)) )
| p1(X12)
| ~ r1(sK24,X12) )
& ~ p1(sK24)
& ! [X15] :
( ( p2(sK29(X15))
& ~ p2(sK30(X15))
& r1(sK29(X15),sK30(X15))
& r1(X15,sK29(X15)) )
| p2(X15)
| ~ r1(sK24,X15) )
& ~ p2(sK24)
& ! [X18] :
( ( p3(sK31(X18))
& ~ p3(sK32(X18))
& r1(sK31(X18),sK32(X18))
& r1(X18,sK31(X18)) )
| p3(X18)
| ~ r1(sK24,X18) )
& ~ p3(sK24) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32])],[f50,f59,f58,f57,f56,f55,f54,f53,f52,f51]) ).
fof(f61,plain,
! [X0,X1] :
( r1(X1,sK8(X1))
| sP0(X1)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f62,plain,
! [X0,X1] :
( ~ p2(sK8(X1))
| sP0(X1)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f63,plain,
! [X0,X1,X6,X5] :
( ~ p2(X5)
| p2(X6)
| ~ r1(X5,X6)
| ~ r1(sK8(X1),X5)
| sP0(X1)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f64,plain,
! [X0,X1] :
( r1(X1,sK6(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f65,plain,
! [X0,X1] :
( r1(sK6(X1),sK7(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f66,plain,
! [X0,X1] :
( ~ p2(sK7(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f67,plain,
! [X0,X1] :
( p2(sK6(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f68,plain,
! [X0,X1] :
( r1(X1,sK11(X1))
| sP2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f69,plain,
! [X0,X1] :
( ~ p2(sK11(X1))
| sP2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f70,plain,
! [X0,X1,X6,X5] :
( ~ p2(X5)
| p2(X6)
| ~ r1(X5,X6)
| ~ r1(sK11(X1),X5)
| sP2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f71,plain,
! [X0,X1] :
( r1(X1,sK9(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f72,plain,
! [X0,X1] :
( r1(sK9(X1),sK10(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f73,plain,
! [X0,X1] :
( ~ p2(sK10(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f74,plain,
! [X0,X1] :
( p2(sK9(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f75,plain,
! [X0] :
( r1(X0,sK14(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f76,plain,
! [X0] :
( r1(sK14(X0),sK15(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f77,plain,
! [X0] :
( ~ p2(sK15(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f78,plain,
! [X0,X6,X7] :
( ~ p2(X6)
| p2(X7)
| ~ r1(X6,X7)
| ~ r1(sK15(X0),X6)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f79,plain,
! [X0,X1] :
( r1(X1,sK12(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f80,plain,
! [X0,X1] :
( r1(sK12(X1),sK13(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f81,plain,
! [X0,X1] :
( ~ p2(sK13(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f82,plain,
! [X0,X1] :
( p2(sK12(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f83,plain,
! [X2,X0,X1] :
( r1(X2,sK16(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f84,plain,
! [X2,X0,X1] :
( r1(sK16(X2),sK17(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ p2(sK17(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f86,plain,
! [X2,X0,X1] :
( p2(sK16(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f87,plain,
! [X0] :
( r1(X0,sK20(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f88,plain,
! [X0] :
( r1(sK20(X0),sK21(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f89,plain,
! [X0] :
( ~ p2(sK21(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f90,plain,
! [X0,X6,X7] :
( ~ p2(X6)
| p2(X7)
| ~ r1(X6,X7)
| ~ r1(sK21(X0),X6)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f91,plain,
! [X0,X1] :
( r1(X1,sK18(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f92,plain,
! [X0,X1] :
( r1(sK18(X1),sK19(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f93,plain,
! [X0,X1] :
( ~ p2(sK19(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f94,plain,
! [X0,X1] :
( p2(sK18(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f95,plain,
! [X2,X0,X1] :
( r1(X2,sK22(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f96,plain,
! [X2,X0,X1] :
( r1(sK22(X2),sK23(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ p2(sK23(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f98,plain,
! [X2,X0,X1] :
( p2(sK22(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f99,plain,
~ p3(sK24),
inference(cnf_transformation,[],[f60]) ).
fof(f100,plain,
! [X18] :
( r1(X18,sK31(X18))
| p3(X18)
| ~ r1(sK24,X18) ),
inference(cnf_transformation,[],[f60]) ).
fof(f101,plain,
! [X18] :
( r1(sK31(X18),sK32(X18))
| p3(X18)
| ~ r1(sK24,X18) ),
inference(cnf_transformation,[],[f60]) ).
fof(f102,plain,
! [X18] :
( ~ p3(sK32(X18))
| p3(X18)
| ~ r1(sK24,X18) ),
inference(cnf_transformation,[],[f60]) ).
fof(f103,plain,
! [X18] :
( p3(sK31(X18))
| p3(X18)
| ~ r1(sK24,X18) ),
inference(cnf_transformation,[],[f60]) ).
fof(f104,plain,
~ p2(sK24),
inference(cnf_transformation,[],[f60]) ).
fof(f105,plain,
! [X15] :
( r1(X15,sK29(X15))
| p2(X15)
| ~ r1(sK24,X15) ),
inference(cnf_transformation,[],[f60]) ).
fof(f106,plain,
! [X15] :
( r1(sK29(X15),sK30(X15))
| p2(X15)
| ~ r1(sK24,X15) ),
inference(cnf_transformation,[],[f60]) ).
fof(f107,plain,
! [X15] :
( ~ p2(sK30(X15))
| p2(X15)
| ~ r1(sK24,X15) ),
inference(cnf_transformation,[],[f60]) ).
fof(f108,plain,
! [X15] :
( p2(sK29(X15))
| p2(X15)
| ~ r1(sK24,X15) ),
inference(cnf_transformation,[],[f60]) ).
fof(f109,plain,
~ p1(sK24),
inference(cnf_transformation,[],[f60]) ).
fof(f110,plain,
! [X12] :
( r1(X12,sK27(X12))
| p1(X12)
| ~ r1(sK24,X12) ),
inference(cnf_transformation,[],[f60]) ).
fof(f111,plain,
! [X12] :
( r1(sK27(X12),sK28(X12))
| p1(X12)
| ~ r1(sK24,X12) ),
inference(cnf_transformation,[],[f60]) ).
fof(f112,plain,
! [X12] :
( ~ p1(sK28(X12))
| p1(X12)
| ~ r1(sK24,X12) ),
inference(cnf_transformation,[],[f60]) ).
fof(f113,plain,
! [X12] :
( p1(sK27(X12))
| p1(X12)
| ~ r1(sK24,X12) ),
inference(cnf_transformation,[],[f60]) ).
fof(f114,plain,
( r1(sK24,sK26)
| sP5(sK24) ),
inference(cnf_transformation,[],[f60]) ).
fof(f115,plain,
( ~ p2(sK26)
| sP1(sK26)
| sP5(sK24) ),
inference(cnf_transformation,[],[f60]) ).
fof(f116,plain,
! [X10,X11] :
( ~ p2(X10)
| p2(X11)
| ~ r1(X10,X11)
| ~ r1(sK26,X10)
| sP1(sK26)
| sP5(sK24) ),
inference(cnf_transformation,[],[f60]) ).
fof(f117,plain,
! [X7] :
( ~ p2(X7)
| sP3(X7)
| sP4(X7)
| ~ r1(sK26,X7)
| sP5(sK24) ),
inference(cnf_transformation,[],[f60]) ).
fof(f118,plain,
! [X8,X9,X7] :
( ~ p2(X8)
| p2(X9)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| sP3(X7)
| sP4(X7)
| ~ r1(sK26,X7)
| sP5(sK24) ),
inference(cnf_transformation,[],[f60]) ).
fof(f119,plain,
! [X1,X5] :
( r1(X1,sK25(X1))
| p2(X5)
| ~ r1(X1,X5)
| ~ r1(sK24,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f120,plain,
! [X1,X5] :
( ~ p2(sK25(X1))
| p2(X5)
| ~ r1(X1,X5)
| ~ r1(sK24,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f121,plain,
! [X3,X1,X4,X5] :
( ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK25(X1),X3)
| p2(X5)
| ~ r1(X1,X5)
| ~ r1(sK24,X1) ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_49,plain,
( ~ r1(X0,X1)
| ~ sP5(X0)
| p2(sK6(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f67]) ).
cnf(c_50,plain,
( ~ r1(X0,X1)
| ~ p2(sK7(X1))
| ~ sP5(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f66]) ).
cnf(c_51,plain,
( ~ r1(X0,X1)
| ~ sP5(X0)
| r1(sK6(X1),sK7(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_52,plain,
( ~ r1(X0,X1)
| ~ sP5(X0)
| r1(X1,sK6(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_53,plain,
( ~ r1(sK8(X0),X1)
| ~ r1(X1,X3)
| ~ r1(X2,X0)
| ~ p2(X1)
| ~ sP5(X2)
| p2(X3)
| sP0(X0) ),
inference(cnf_transformation,[],[f63]) ).
cnf(c_54,plain,
( ~ r1(X0,X1)
| ~ p2(sK8(X1))
| ~ sP5(X0)
| sP0(X1) ),
inference(cnf_transformation,[],[f62]) ).
cnf(c_55,plain,
( ~ r1(X0,X1)
| ~ sP5(X0)
| r1(X1,sK8(X1))
| sP0(X1) ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_56,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| p2(sK9(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f74]) ).
cnf(c_57,plain,
( ~ r1(X0,X1)
| ~ p2(sK10(X1))
| ~ sP4(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_58,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| r1(sK9(X1),sK10(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f72]) ).
cnf(c_59,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| r1(X1,sK9(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f71]) ).
cnf(c_60,plain,
( ~ r1(sK11(X0),X1)
| ~ r1(X1,X3)
| ~ r1(X2,X0)
| ~ p2(X1)
| ~ sP4(X2)
| p2(X3)
| sP2(X0) ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_61,plain,
( ~ r1(X0,X1)
| ~ p2(sK11(X1))
| ~ sP4(X0)
| sP2(X1) ),
inference(cnf_transformation,[],[f69]) ).
cnf(c_62,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| r1(X1,sK11(X1))
| sP2(X1) ),
inference(cnf_transformation,[],[f68]) ).
cnf(c_63,plain,
( ~ r1(X0,X1)
| ~ sP3(X0)
| p2(sK12(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_64,plain,
( ~ r1(X0,X1)
| ~ p2(sK13(X1))
| ~ sP3(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f81]) ).
cnf(c_65,plain,
( ~ r1(X0,X1)
| ~ sP3(X0)
| r1(sK12(X1),sK13(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f80]) ).
cnf(c_66,plain,
( ~ r1(X0,X1)
| ~ sP3(X0)
| r1(X1,sK12(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f79]) ).
cnf(c_67,plain,
( ~ r1(sK15(X0),X1)
| ~ r1(X1,X2)
| ~ p2(X1)
| ~ sP3(X0)
| p2(X2) ),
inference(cnf_transformation,[],[f78]) ).
cnf(c_68,plain,
( ~ p2(sK15(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f77]) ).
cnf(c_69,plain,
( ~ sP3(X0)
| r1(sK14(X0),sK15(X0)) ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_70,plain,
( ~ sP3(X0)
| r1(X0,sK14(X0)) ),
inference(cnf_transformation,[],[f75]) ).
cnf(c_71,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP2(X2)
| p2(sK16(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_72,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p2(sK17(X1))
| ~ sP2(X2)
| p2(X1) ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_73,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP2(X2)
| r1(sK16(X1),sK17(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_74,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP2(X2)
| r1(X1,sK16(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_75,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| p2(sK18(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_76,plain,
( ~ r1(X0,X1)
| ~ p2(sK19(X1))
| ~ sP1(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f93]) ).
cnf(c_77,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| r1(sK18(X1),sK19(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f92]) ).
cnf(c_78,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| r1(X1,sK18(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f91]) ).
cnf(c_79,plain,
( ~ r1(sK21(X0),X1)
| ~ r1(X1,X2)
| ~ p2(X1)
| ~ sP1(X0)
| p2(X2) ),
inference(cnf_transformation,[],[f90]) ).
cnf(c_80,plain,
( ~ p2(sK21(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_81,plain,
( ~ sP1(X0)
| r1(sK20(X0),sK21(X0)) ),
inference(cnf_transformation,[],[f88]) ).
cnf(c_82,plain,
( ~ sP1(X0)
| r1(X0,sK20(X0)) ),
inference(cnf_transformation,[],[f87]) ).
cnf(c_83,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP0(X2)
| p2(sK22(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f98]) ).
cnf(c_84,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p2(sK23(X1))
| ~ sP0(X2)
| p2(X1) ),
inference(cnf_transformation,[],[f97]) ).
cnf(c_85,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP0(X2)
| r1(sK22(X1),sK23(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_86,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP0(X2)
| r1(X1,sK22(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f95]) ).
cnf(c_87,negated_conjecture,
( ~ r1(sK25(X0),X1)
| ~ r1(X0,X2)
| ~ r1(X1,X3)
| ~ r1(sK24,X0)
| ~ p2(X1)
| p2(X2)
| p2(X3) ),
inference(cnf_transformation,[],[f121]) ).
cnf(c_88,negated_conjecture,
( ~ r1(X0,X1)
| ~ p2(sK25(X0))
| ~ r1(sK24,X0)
| p2(X1) ),
inference(cnf_transformation,[],[f120]) ).
cnf(c_89,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK24,X0)
| r1(X0,sK25(X0))
| p2(X1) ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_90,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(sK26,X0)
| ~ p2(X1)
| p2(X2)
| sP4(X0)
| sP3(X0)
| sP5(sK24) ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_91,negated_conjecture,
( ~ r1(sK26,X0)
| ~ p2(X0)
| sP4(X0)
| sP3(X0)
| sP5(sK24) ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_92,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK26,X0)
| ~ p2(X0)
| p2(X1)
| sP5(sK24)
| sP1(sK26) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_93,negated_conjecture,
( ~ p2(sK26)
| sP5(sK24)
| sP1(sK26) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_94,negated_conjecture,
( r1(sK24,sK26)
| sP5(sK24) ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_95,negated_conjecture,
( ~ r1(sK24,X0)
| p1(sK27(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_96,negated_conjecture,
( ~ r1(sK24,X0)
| ~ p1(sK28(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_97,negated_conjecture,
( ~ r1(sK24,X0)
| r1(sK27(X0),sK28(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_98,negated_conjecture,
( ~ r1(sK24,X0)
| r1(X0,sK27(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f110]) ).
cnf(c_99,negated_conjecture,
~ p1(sK24),
inference(cnf_transformation,[],[f109]) ).
cnf(c_100,negated_conjecture,
( ~ r1(sK24,X0)
| p2(sK29(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_101,negated_conjecture,
( ~ p2(sK30(X0))
| ~ r1(sK24,X0)
| p2(X0) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_102,negated_conjecture,
( ~ r1(sK24,X0)
| r1(sK29(X0),sK30(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_103,negated_conjecture,
( ~ r1(sK24,X0)
| r1(X0,sK29(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_104,negated_conjecture,
~ p2(sK24),
inference(cnf_transformation,[],[f104]) ).
cnf(c_105,negated_conjecture,
( ~ r1(sK24,X0)
| p3(sK31(X0))
| p3(X0) ),
inference(cnf_transformation,[],[f103]) ).
cnf(c_106,negated_conjecture,
( ~ r1(sK24,X0)
| ~ p3(sK32(X0))
| p3(X0) ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_107,negated_conjecture,
( ~ r1(sK24,X0)
| r1(sK31(X0),sK32(X0))
| p3(X0) ),
inference(cnf_transformation,[],[f101]) ).
cnf(c_108,negated_conjecture,
( ~ r1(sK24,X0)
| r1(X0,sK31(X0))
| p3(X0) ),
inference(cnf_transformation,[],[f100]) ).
cnf(c_109,negated_conjecture,
~ p3(sK24),
inference(cnf_transformation,[],[f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL643+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 03:26:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.56/1.19 % SZS status Started for theBenchmark.p
% 1.56/1.19 % SZS status CounterSatisfiable for theBenchmark.p
% 1.56/1.19
% 1.56/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.56/1.19
% 1.56/1.19 ------ iProver source info
% 1.56/1.19
% 1.56/1.19 git: date: 2023-05-31 18:12:56 +0000
% 1.56/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.56/1.19 git: non_committed_changes: false
% 1.56/1.19 git: last_make_outside_of_git: false
% 1.56/1.19
% 1.56/1.19 ------ Parsing...
% 1.56/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.56/1.19
% 1.56/1.19 ------ Preprocessing... sf_s rm: 61 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.56/1.19
% 1.56/1.19 ------ Preprocessing...------ preprocesses with Option_epr_horn
% 1.56/1.19 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.56/1.19 ------ Proving...
% 1.56/1.19 ------ Problem Properties
% 1.56/1.19
% 1.56/1.19
% 1.56/1.19 clauses 0
% 1.56/1.19 conjectures 0
% 1.56/1.19 EPR 0
% 1.56/1.19 Horn 0
% 1.56/1.19 unary 0
% 1.56/1.19 binary 0
% 1.56/1.19 lits 0
% 1.56/1.19 lits eq 0
% 1.56/1.19 fd_pure 0
% 1.56/1.19 fd_pseudo 0
% 1.56/1.19 fd_cond 0
% 1.56/1.19 fd_pseudo_cond 0
% 1.56/1.19 AC symbols 0
% 1.56/1.19
% 1.56/1.19 ------ Schedule EPR Horn non eq is on
% 1.56/1.19
% 1.56/1.19 ------ no conjectures: strip conj schedule
% 1.56/1.19
% 1.56/1.19 ------ no equalities: superposition off
% 1.56/1.19
% 1.56/1.19 ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 1.56/1.19
% 1.56/1.19
% 1.56/1.19
% 1.56/1.19
% 1.56/1.19 % SZS status CounterSatisfiable for theBenchmark.p
% 1.56/1.19
% 1.56/1.19 % SZS output start Saturation for theBenchmark.p
% See solution above
% 1.56/1.19
% 1.56/1.19
%------------------------------------------------------------------------------