TSTP Solution File: LCL660+1.001 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL660+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 : Fri May 3 02:38:38 EDT 2024
% Result : Theorem 10.19s 2.13s
% Output : CNFRefutation 10.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 41
% Syntax : Number of formulae : 333 ( 7 unt; 0 def)
% Number of atoms : 2630 ( 0 equ)
% Maximal formula atoms : 120 ( 7 avg)
% Number of connectives : 3877 (1580 ~;1713 |; 552 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 7 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 5 con; 0-1 aty)
% Number of variables : 1036 ( 0 sgn 602 !; 235 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ 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] :
( ~ 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] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p4(X0)
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ p3(X1)
| ~ r1(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ 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] :
( ~ 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] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p4(X0)
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ p3(X1)
| ~ r1(X0,X1) ) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ( ~ ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| p2(X6) )
& ( ~ ! [X9] :
( ~ ! [X10] :
( ~ p2(X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
| ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X6,X12) ) ) )
| ! [X16] :
( ( ( ~ ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| p2(X16) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| p2(X19)
| ~ r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
| ( ( ~ ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
| p2(X5) )
& ( ~ ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
| ! [X31] :
( ! [X32] :
( ~ ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| p2(X32)
| ~ r1(X31,X32) )
| ~ r1(X5,X31) ) ) )
| ~ r1(X0,X5) )
| ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X0,X35) )
| p2(X0) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) ) )
| ~ ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
| ! [X47] :
( p1(X47)
| ~ r1(X0,X47) )
| ( ( ~ ! [X48] :
( ~ ! [X49] :
( ~ p2(X49)
| ! [X50] :
( p2(X50)
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
| ! [X51] :
( p2(X51)
| ~ r1(X0,X51) ) )
& ~ ! [X52] :
( ~ ! [X53] :
( ~ p3(X53)
| ~ r1(X52,X53) )
| ~ r1(X0,X52) ) )
| ~ ! [X54] :
( ~ ! [X55] :
( ~ p4(X55)
| ! [X56] :
( p4(X56)
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
| ! [X57] :
( p4(X57)
| ~ r1(X0,X57) )
| ( ( ~ ! [X58] :
( ~ ! [X59] :
( ~ p2(X59)
| ! [X60] :
( p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
| ! [X61] :
( p2(X61)
| ~ r1(X0,X61) ) )
& ~ ! [X62] :
( ~ p3(X62)
| ~ r1(X0,X62) ) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ( ~ ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| p2(X6) )
& ( ~ ! [X9] :
( ~ ! [X10] :
( ~ p2(X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
| ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X6,X12) ) ) )
| ! [X16] :
( ( ( ~ ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| p2(X16) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| p2(X19)
| ~ r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
| ( ( ~ ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
| p2(X5) )
& ( ~ ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
| ! [X31] :
( ! [X32] :
( ~ ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| p2(X32)
| ~ r1(X31,X32) )
| ~ r1(X5,X31) ) ) )
| ~ r1(X0,X5) )
| ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X0,X35) )
| p2(X0) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) ) )
| ~ ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
| ! [X47] :
( p1(X47)
| ~ r1(X0,X47) )
| ( ( ~ ! [X48] :
( ~ ! [X49] :
( ~ p2(X49)
| ! [X50] :
( p2(X50)
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
| ! [X51] :
( p2(X51)
| ~ r1(X0,X51) ) )
& ~ ! [X52] :
( ~ ! [X53] :
( ~ p3(X53)
| ~ r1(X52,X53) )
| ~ r1(X0,X52) ) )
| ~ ! [X54] :
( ~ ! [X55] :
( ~ p4(X55)
| ! [X56] :
( p4(X56)
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
| ! [X57] :
( p4(X57)
| ~ r1(X0,X57) )
| ( ( ~ ! [X58] :
( ~ ! [X59] :
( ~ p2(X59)
| ! [X60] :
( p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
| ! [X61] :
( p2(X61)
| ~ r1(X0,X61) ) )
& ~ ! [X62] :
( ~ p3(X62)
| ~ r1(X0,X62) ) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| ( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
& ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) ) )
| ! [X16] :
( ( ( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16) )
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
& ( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| ( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
& ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) ) ) )
& r1(X0,X5) )
| ( ( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ( ( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ! [X52] :
( ? [X53] :
( p3(X53)
& r1(X52,X53) )
| ~ r1(X0,X52) ) )
& ! [X54] :
( ? [X55] :
( p4(X55)
& ? [X56] :
( ~ p4(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
& ? [X57] :
( ~ p4(X57)
& r1(X0,X57) )
& ( ( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
& ? [X61] :
( ~ p2(X61)
& r1(X0,X61) ) )
| ! [X62] :
( ~ p3(X62)
| ~ r1(X0,X62) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| ( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
& ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) ) )
| ! [X16] :
( ( ( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16) )
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
& ( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| ( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
& ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) ) ) )
& r1(X0,X5) )
| ( ( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ( ( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ! [X52] :
( ? [X53] :
( p3(X53)
& r1(X52,X53) )
| ~ r1(X0,X52) ) )
& ! [X54] :
( ? [X55] :
( p4(X55)
& ? [X56] :
( ~ p4(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
& ? [X57] :
( ~ p4(X57)
& r1(X0,X57) )
& ( ( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
& ? [X61] :
( ~ p2(X61)
& r1(X0,X61) ) )
| ! [X62] :
( ~ p3(X62)
| ~ r1(X0,X62) ) ) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0] :
( ( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
! [X0] :
( ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
! [X5] :
( ( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
& ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) ) )
| ~ sP2(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
! [X16] :
( ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) )
| ~ sP3(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
! [X6] :
( ( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
& ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) ) )
| ~ sP4(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
! [X6] :
( ! [X16] :
( ( ( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16) )
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| sP3(X16) ) )
| ~ r1(X6,X16) )
| ~ sP5(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f14,plain,
! [X0] :
( ( ( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| sP1(X0) ) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f15,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP4(X6)
| sP5(X6)
| ~ r1(X5,X6) )
& ( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| sP2(X5) )
& r1(X0,X5) )
| sP6(X0) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ( sP0(X0)
| ! [X52] :
( ? [X53] :
( p3(X53)
& r1(X52,X53) )
| ~ r1(X0,X52) ) )
& ! [X54] :
( ? [X55] :
( p4(X55)
& ? [X56] :
( ~ p4(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
& ? [X57] :
( ~ p4(X57)
& r1(X0,X57) )
& ( ( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
& ? [X61] :
( ~ p2(X61)
& r1(X0,X61) ) )
| ! [X62] :
( ~ p3(X62)
| ~ r1(X0,X62) ) ) ),
inference(definition_folding,[],[f7,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f16,plain,
! [X0] :
( ( ( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| sP1(X0) ) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f14]) ).
fof(f17,plain,
! [X0] :
( ( ( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| p2(X0) )
& ( ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
& ~ p2(X3)
& r1(X0,X3) )
| sP1(X0) ) )
| ~ sP6(X0) ),
inference(rectify,[],[f16]) ).
fof(f18,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( p2(sK7(X0))
& ? [X2] :
( ~ p2(X2)
& r1(sK7(X0),X2) )
& r1(X0,sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( ? [X2] :
( ~ p2(X2)
& r1(sK7(X0),X2) )
=> ( ~ p2(sK8(X0))
& r1(sK7(X0),sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
& ~ p2(X3)
& r1(X0,X3) )
=> ( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(sK9(X0),X4) )
& ~ p2(sK9(X0))
& r1(X0,sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
( ( ( ( p2(sK7(X0))
& ~ p2(sK8(X0))
& r1(sK7(X0),sK8(X0))
& r1(X0,sK7(X0)) )
| p2(X0) )
& ( ( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(sK9(X0),X4) )
& ~ p2(sK9(X0))
& r1(X0,sK9(X0)) )
| sP1(X0) ) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f17,f20,f19,f18]) ).
fof(f22,plain,
! [X6] :
( ! [X16] :
( ( ( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16) )
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| sP3(X16) ) )
| ~ r1(X6,X16) )
| ~ sP5(X6) ),
inference(nnf_transformation,[],[f13]) ).
fof(f23,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) )
| sP3(X1) ) )
| ~ r1(X0,X1) )
| ~ sP5(X0) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK10(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK10(X1),X3) )
& r1(X1,sK10(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK10(X1),X3) )
=> ( ~ p2(sK11(X1))
& r1(sK10(X1),sK11(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,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(sK12(X1),X5) )
& ~ p2(sK12(X1))
& r1(X1,sK12(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( ( ( ( p2(sK10(X1))
& ~ p2(sK11(X1))
& r1(sK10(X1),sK11(X1))
& r1(X1,sK10(X1)) )
| p2(X1) )
& ( ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(sK12(X1),X5) )
& ~ p2(sK12(X1))
& r1(X1,sK12(X1)) )
| sP3(X1) ) )
| ~ r1(X0,X1) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f23,f26,f25,f24]) ).
fof(f28,plain,
! [X6] :
( ( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
& ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) ) )
| ~ sP4(X6) ),
inference(nnf_transformation,[],[f12]) ).
fof(f29,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) ) )
| ~ sP4(X0) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK13(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK13(X1),X3) )
& r1(X1,sK13(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK13(X1),X3) )
=> ( ~ p2(sK14(X1))
& r1(sK13(X1),sK14(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,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(sK15(X0),X5) )
& r1(X0,sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK15(X0),X5) )
=> ( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK16(X0),X6) )
& ~ p2(sK16(X0))
& r1(sK15(X0),sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK13(X1))
& ~ p2(sK14(X1))
& r1(sK13(X1),sK14(X1))
& r1(X1,sK13(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK16(X0),X6) )
& ~ p2(sK16(X0))
& r1(sK15(X0),sK16(X0))
& r1(X0,sK15(X0)) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f29,f33,f32,f31,f30]) ).
fof(f40,plain,
! [X5] :
( ( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
& ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) ) )
| ~ sP2(X5) ),
inference(nnf_transformation,[],[f10]) ).
fof(f41,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) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f40]) ).
fof(f42,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK19(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK19(X1),X3) )
& r1(X1,sK19(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK19(X1),X3) )
=> ( ~ p2(sK20(X1))
& r1(sK19(X1),sK20(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,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(sK21(X0),X5) )
& r1(X0,sK21(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK21(X0),X5) )
=> ( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK22(X0),X6) )
& ~ p2(sK22(X0))
& r1(sK21(X0),sK22(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK19(X1))
& ~ p2(sK20(X1))
& r1(sK19(X1),sK20(X1))
& r1(X1,sK19(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK22(X0),X6) )
& ~ p2(sK22(X0))
& r1(sK21(X0),sK22(X0))
& r1(X0,sK21(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21,sK22])],[f41,f45,f44,f43,f42]) ).
fof(f47,plain,
! [X0] :
( ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f9]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f47]) ).
fof(f49,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p2(sK23(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK23(X2),X4) )
& r1(X2,sK23(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK23(X2),X4) )
=> ( ~ p2(sK24(X2))
& r1(sK23(X2),sK24(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK23(X2))
& ~ p2(sK24(X2))
& r1(sK23(X2),sK24(X2))
& r1(X2,sK23(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f48,f50,f49]) ).
fof(f52,plain,
! [X0] :
( ( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f8]) ).
fof(f53,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( ~ p2(X4)
& r1(X0,X4) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f52]) ).
fof(f54,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK25(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK25(X1),X3) )
& r1(X1,sK25(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK25(X1),X3) )
=> ( ~ p2(sK26(X1))
& r1(sK25(X1),sK26(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ? [X4] :
( ~ p2(X4)
& r1(X0,X4) )
=> ( ~ p2(sK27(X0))
& r1(X0,sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK25(X1))
& ~ p2(sK26(X1))
& r1(sK25(X1),sK26(X1))
& r1(X1,sK25(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ~ p2(sK27(X0))
& r1(X0,sK27(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26,sK27])],[f53,f56,f55,f54]) ).
fof(f58,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP4(X6)
| sP5(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP2(X5) )
& r1(X0,X5) )
| sP6(X0) )
& ! [X11] :
( ? [X12] :
( p1(X12)
& ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& r1(X11,X12) )
| p1(X11)
| ~ r1(X0,X11) )
& ? [X14] :
( ~ p1(X14)
& r1(X0,X14) )
& ( sP0(X0)
| ! [X15] :
( ? [X16] :
( p3(X16)
& r1(X15,X16) )
| ~ r1(X0,X15) ) )
& ! [X17] :
( ? [X18] :
( p4(X18)
& ? [X19] :
( ~ p4(X19)
& r1(X18,X19) )
& r1(X17,X18) )
| p4(X17)
| ~ r1(X0,X17) )
& ? [X20] :
( ~ p4(X20)
& r1(X0,X20) )
& ( ( ! [X21] :
( ? [X22] :
( p2(X22)
& ? [X23] :
( ~ p2(X23)
& r1(X22,X23) )
& r1(X21,X22) )
| p2(X21)
| ~ r1(X0,X21) )
& ? [X24] :
( ~ p2(X24)
& r1(X0,X24) ) )
| ! [X25] :
( ~ p3(X25)
| ~ r1(X0,X25) ) ) ),
inference(rectify,[],[f15]) ).
fof(f59,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP4(X6)
| sP5(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP2(X5) )
& r1(X0,X5) )
| sP6(X0) )
& ! [X11] :
( ? [X12] :
( p1(X12)
& ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& r1(X11,X12) )
| p1(X11)
| ~ r1(X0,X11) )
& ? [X14] :
( ~ p1(X14)
& r1(X0,X14) )
& ( sP0(X0)
| ! [X15] :
( ? [X16] :
( p3(X16)
& r1(X15,X16) )
| ~ r1(X0,X15) ) )
& ! [X17] :
( ? [X18] :
( p4(X18)
& ? [X19] :
( ~ p4(X19)
& r1(X18,X19) )
& r1(X17,X18) )
| p4(X17)
| ~ r1(X0,X17) )
& ? [X20] :
( ~ p4(X20)
& r1(X0,X20) )
& ( ( ! [X21] :
( ? [X22] :
( p2(X22)
& ? [X23] :
( ~ p2(X23)
& r1(X22,X23) )
& r1(X21,X22) )
| p2(X21)
| ~ r1(X0,X21) )
& ? [X24] :
( ~ p2(X24)
& r1(X0,X24) ) )
| ! [X25] :
( ~ p3(X25)
| ~ r1(X0,X25) ) ) )
=> ( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(sK28,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP4(X6)
| sP5(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP2(X5) )
& r1(sK28,X5) )
| sP6(sK28) )
& ! [X11] :
( ? [X12] :
( p1(X12)
& ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& r1(X11,X12) )
| p1(X11)
| ~ r1(sK28,X11) )
& ? [X14] :
( ~ p1(X14)
& r1(sK28,X14) )
& ( sP0(sK28)
| ! [X15] :
( ? [X16] :
( p3(X16)
& r1(X15,X16) )
| ~ r1(sK28,X15) ) )
& ! [X17] :
( ? [X18] :
( p4(X18)
& ? [X19] :
( ~ p4(X19)
& r1(X18,X19) )
& r1(X17,X18) )
| p4(X17)
| ~ r1(sK28,X17) )
& ? [X20] :
( ~ p4(X20)
& r1(sK28,X20) )
& ( ( ! [X21] :
( ? [X22] :
( p2(X22)
& ? [X23] :
( ~ p2(X23)
& r1(X22,X23) )
& r1(X21,X22) )
| p2(X21)
| ~ r1(sK28,X21) )
& ? [X24] :
( ~ p2(X24)
& r1(sK28,X24) ) )
| ! [X25] :
( ~ p3(X25)
| ~ r1(sK28,X25) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f60,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(sK29(X1),X3) )
& ~ p2(sK29(X1))
& r1(X1,sK29(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP4(X6)
| sP5(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP2(X5) )
& r1(sK28,X5) )
=> ( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP4(X6)
| sP5(X6)
| ~ r1(sK30,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(sK30,X9) )
& ~ p2(sK30) )
| sP2(sK30) )
& r1(sK28,sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X11] :
( ? [X12] :
( p1(X12)
& ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& r1(X11,X12) )
=> ( p1(sK31(X11))
& ? [X13] :
( ~ p1(X13)
& r1(sK31(X11),X13) )
& r1(X11,sK31(X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X11] :
( ? [X13] :
( ~ p1(X13)
& r1(sK31(X11),X13) )
=> ( ~ p1(sK32(X11))
& r1(sK31(X11),sK32(X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
( ? [X14] :
( ~ p1(X14)
& r1(sK28,X14) )
=> ( ~ p1(sK33)
& r1(sK28,sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X15] :
( ? [X16] :
( p3(X16)
& r1(X15,X16) )
=> ( p3(sK34(X15))
& r1(X15,sK34(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X17] :
( ? [X18] :
( p4(X18)
& ? [X19] :
( ~ p4(X19)
& r1(X18,X19) )
& r1(X17,X18) )
=> ( p4(sK35(X17))
& ? [X19] :
( ~ p4(X19)
& r1(sK35(X17),X19) )
& r1(X17,sK35(X17)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X17] :
( ? [X19] :
( ~ p4(X19)
& r1(sK35(X17),X19) )
=> ( ~ p4(sK36(X17))
& r1(sK35(X17),sK36(X17)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
( ? [X20] :
( ~ p4(X20)
& r1(sK28,X20) )
=> ( ~ p4(sK37)
& r1(sK28,sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X21] :
( ? [X22] :
( p2(X22)
& ? [X23] :
( ~ p2(X23)
& r1(X22,X23) )
& r1(X21,X22) )
=> ( p2(sK38(X21))
& ? [X23] :
( ~ p2(X23)
& r1(sK38(X21),X23) )
& r1(X21,sK38(X21)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X21] :
( ? [X23] :
( ~ p2(X23)
& r1(sK38(X21),X23) )
=> ( ~ p2(sK39(X21))
& r1(sK38(X21),sK39(X21)) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ? [X24] :
( ~ p2(X24)
& r1(sK28,X24) )
=> ( ~ p2(sK40)
& r1(sK28,sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK29(X1),X3) )
& ~ p2(sK29(X1))
& r1(X1,sK29(X1)) )
| p2(X1)
| ~ r1(sK28,X1) )
& ( ( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP4(X6)
| sP5(X6)
| ~ r1(sK30,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(sK30,X9) )
& ~ p2(sK30) )
| sP2(sK30) )
& r1(sK28,sK30) )
| sP6(sK28) )
& ! [X11] :
( ( p1(sK31(X11))
& ~ p1(sK32(X11))
& r1(sK31(X11),sK32(X11))
& r1(X11,sK31(X11)) )
| p1(X11)
| ~ r1(sK28,X11) )
& ~ p1(sK33)
& r1(sK28,sK33)
& ( sP0(sK28)
| ! [X15] :
( ( p3(sK34(X15))
& r1(X15,sK34(X15)) )
| ~ r1(sK28,X15) ) )
& ! [X17] :
( ( p4(sK35(X17))
& ~ p4(sK36(X17))
& r1(sK35(X17),sK36(X17))
& r1(X17,sK35(X17)) )
| p4(X17)
| ~ r1(sK28,X17) )
& ~ p4(sK37)
& r1(sK28,sK37)
& ( ( ! [X21] :
( ( p2(sK38(X21))
& ~ p2(sK39(X21))
& r1(sK38(X21),sK39(X21))
& r1(X21,sK38(X21)) )
| p2(X21)
| ~ r1(sK28,X21) )
& ~ p2(sK40)
& r1(sK28,sK40) )
| ! [X25] :
( ~ p3(X25)
| ~ r1(sK28,X25) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40])],[f58,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59]) ).
fof(f73,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f74,plain,
! [X0] :
( r1(X0,sK9(X0))
| sP1(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f75,plain,
! [X0] :
( ~ p2(sK9(X0))
| sP1(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f76,plain,
! [X0,X4,X5] :
( ~ p2(X4)
| p2(X5)
| ~ r1(X4,X5)
| ~ r1(sK9(X0),X4)
| sP1(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f84,plain,
! [X0,X1] :
( r1(X1,sK10(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f85,plain,
! [X0,X1] :
( r1(sK10(X1),sK11(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f86,plain,
! [X0,X1] :
( ~ p2(sK11(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f87,plain,
! [X0,X1] :
( p2(sK10(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f92,plain,
! [X0,X1] :
( r1(X1,sK13(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f93,plain,
! [X0,X1] :
( r1(sK13(X1),sK14(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f94,plain,
! [X0,X1] :
( ~ p2(sK14(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f95,plain,
! [X0,X1] :
( p2(sK13(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f100,plain,
! [X0] :
( r1(X0,sK21(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f101,plain,
! [X0] :
( r1(sK21(X0),sK22(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f102,plain,
! [X0] :
( ~ p2(sK22(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f103,plain,
! [X0,X6,X7] :
( ~ p2(X6)
| p2(X7)
| ~ r1(X6,X7)
| ~ r1(sK22(X0),X6)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f104,plain,
! [X0,X1] :
( r1(X1,sK19(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f105,plain,
! [X0,X1] :
( r1(sK19(X1),sK20(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f106,plain,
! [X0,X1] :
( ~ p2(sK20(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f107,plain,
! [X0,X1] :
( p2(sK19(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f108,plain,
! [X2,X0,X1] :
( r1(X2,sK23(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f109,plain,
! [X2,X0,X1] :
( r1(sK23(X2),sK24(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ p2(sK24(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f111,plain,
! [X2,X0,X1] :
( p2(sK23(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f112,plain,
! [X0] :
( r1(X0,sK27(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f113,plain,
! [X0] :
( ~ p2(sK27(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f114,plain,
! [X0,X1] :
( r1(X1,sK25(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f115,plain,
! [X0,X1] :
( r1(sK25(X1),sK26(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f116,plain,
! [X0,X1] :
( ~ p2(sK26(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f117,plain,
! [X0,X1] :
( p2(sK25(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f118,plain,
! [X25] :
( r1(sK28,sK40)
| ~ p3(X25)
| ~ r1(sK28,X25) ),
inference(cnf_transformation,[],[f72]) ).
fof(f119,plain,
! [X25] :
( ~ p2(sK40)
| ~ p3(X25)
| ~ r1(sK28,X25) ),
inference(cnf_transformation,[],[f72]) ).
fof(f120,plain,
! [X21,X25] :
( r1(X21,sK38(X21))
| p2(X21)
| ~ r1(sK28,X21)
| ~ p3(X25)
| ~ r1(sK28,X25) ),
inference(cnf_transformation,[],[f72]) ).
fof(f121,plain,
! [X21,X25] :
( r1(sK38(X21),sK39(X21))
| p2(X21)
| ~ r1(sK28,X21)
| ~ p3(X25)
| ~ r1(sK28,X25) ),
inference(cnf_transformation,[],[f72]) ).
fof(f122,plain,
! [X21,X25] :
( ~ p2(sK39(X21))
| p2(X21)
| ~ r1(sK28,X21)
| ~ p3(X25)
| ~ r1(sK28,X25) ),
inference(cnf_transformation,[],[f72]) ).
fof(f123,plain,
! [X21,X25] :
( p2(sK38(X21))
| p2(X21)
| ~ r1(sK28,X21)
| ~ p3(X25)
| ~ r1(sK28,X25) ),
inference(cnf_transformation,[],[f72]) ).
fof(f130,plain,
! [X15] :
( sP0(sK28)
| r1(X15,sK34(X15))
| ~ r1(sK28,X15) ),
inference(cnf_transformation,[],[f72]) ).
fof(f131,plain,
! [X15] :
( sP0(sK28)
| p3(sK34(X15))
| ~ r1(sK28,X15) ),
inference(cnf_transformation,[],[f72]) ).
fof(f134,plain,
! [X11] :
( r1(X11,sK31(X11))
| p1(X11)
| ~ r1(sK28,X11) ),
inference(cnf_transformation,[],[f72]) ).
fof(f138,plain,
( r1(sK28,sK30)
| sP6(sK28) ),
inference(cnf_transformation,[],[f72]) ).
fof(f139,plain,
( ~ p2(sK30)
| sP2(sK30)
| sP6(sK28) ),
inference(cnf_transformation,[],[f72]) ).
fof(f140,plain,
! [X10,X9] :
( ~ p2(X9)
| p2(X10)
| ~ r1(X9,X10)
| ~ r1(sK30,X9)
| sP2(sK30)
| sP6(sK28) ),
inference(cnf_transformation,[],[f72]) ).
fof(f141,plain,
! [X6] :
( ~ p2(X6)
| sP4(X6)
| sP5(X6)
| ~ r1(sK30,X6)
| sP6(sK28) ),
inference(cnf_transformation,[],[f72]) ).
fof(f142,plain,
! [X8,X6,X7] :
( ~ p2(X7)
| p2(X8)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| sP4(X6)
| sP5(X6)
| ~ r1(sK30,X6)
| sP6(sK28) ),
inference(cnf_transformation,[],[f72]) ).
fof(f143,plain,
! [X1] :
( r1(X1,sK29(X1))
| p2(X1)
| ~ r1(sK28,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f144,plain,
! [X1] :
( ~ p2(sK29(X1))
| p2(X1)
| ~ r1(sK28,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f145,plain,
! [X3,X1,X4] :
( ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK29(X1),X3)
| p2(X1)
| ~ r1(sK28,X1) ),
inference(cnf_transformation,[],[f72]) ).
cnf(c_49,plain,
r1(X0,X0),
inference(cnf_transformation,[],[f73]) ).
cnf(c_54,plain,
( ~ r1(sK9(X0),X1)
| ~ r1(X1,X2)
| ~ p2(X1)
| ~ sP6(X0)
| p2(X2)
| sP1(X0) ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_55,plain,
( ~ p2(sK9(X0))
| ~ sP6(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f75]) ).
cnf(c_56,plain,
( ~ sP6(X0)
| r1(X0,sK9(X0))
| sP1(X0) ),
inference(cnf_transformation,[],[f74]) ).
cnf(c_57,plain,
( ~ r1(X0,X1)
| ~ sP5(X0)
| p2(sK10(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f87]) ).
cnf(c_58,plain,
( ~ r1(X0,X1)
| ~ p2(sK11(X1))
| ~ sP5(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_59,plain,
( ~ r1(X0,X1)
| ~ sP5(X0)
| r1(sK10(X1),sK11(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_60,plain,
( ~ r1(X0,X1)
| ~ sP5(X0)
| r1(X1,sK10(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_64,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| p2(sK13(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f95]) ).
cnf(c_65,plain,
( ~ r1(X0,X1)
| ~ p2(sK14(X1))
| ~ sP4(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_66,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| r1(sK13(X1),sK14(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f93]) ).
cnf(c_67,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| r1(X1,sK13(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f92]) ).
cnf(c_76,plain,
( ~ r1(X0,X1)
| ~ sP2(X0)
| p2(sK19(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_77,plain,
( ~ r1(X0,X1)
| ~ p2(sK20(X1))
| ~ sP2(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_78,plain,
( ~ r1(X0,X1)
| ~ sP2(X0)
| r1(sK19(X1),sK20(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_79,plain,
( ~ r1(X0,X1)
| ~ sP2(X0)
| r1(X1,sK19(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_80,plain,
( ~ r1(sK22(X0),X1)
| ~ r1(X1,X2)
| ~ p2(X1)
| ~ sP2(X0)
| p2(X2) ),
inference(cnf_transformation,[],[f103]) ).
cnf(c_81,plain,
( ~ p2(sK22(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_82,plain,
( ~ sP2(X0)
| r1(sK21(X0),sK22(X0)) ),
inference(cnf_transformation,[],[f101]) ).
cnf(c_83,plain,
( ~ sP2(X0)
| r1(X0,sK21(X0)) ),
inference(cnf_transformation,[],[f100]) ).
cnf(c_84,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP1(X0)
| p2(sK23(X2))
| p2(X2) ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_85,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ p2(sK24(X2))
| ~ sP1(X0)
| p2(X2) ),
inference(cnf_transformation,[],[f110]) ).
cnf(c_86,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP1(X0)
| r1(sK23(X2),sK24(X2))
| p2(X2) ),
inference(cnf_transformation,[],[f109]) ).
cnf(c_87,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP1(X0)
| r1(X2,sK23(X2))
| p2(X2) ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_88,plain,
( ~ r1(X0,X1)
| ~ sP0(X0)
| p2(sK25(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_89,plain,
( ~ r1(X0,X1)
| ~ p2(sK26(X1))
| ~ sP0(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_90,plain,
( ~ r1(X0,X1)
| ~ sP0(X0)
| r1(sK25(X1),sK26(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_91,plain,
( ~ r1(X0,X1)
| ~ sP0(X0)
| r1(X1,sK25(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_92,plain,
( ~ p2(sK27(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_93,plain,
( ~ sP0(X0)
| r1(X0,sK27(X0)) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_94,negated_conjecture,
( ~ r1(sK29(X0),X1)
| ~ r1(X1,X2)
| ~ r1(sK28,X0)
| ~ p2(X1)
| p2(X0)
| p2(X2) ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_95,negated_conjecture,
( ~ r1(sK28,X0)
| ~ p2(sK29(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_96,negated_conjecture,
( ~ r1(sK28,X0)
| r1(X0,sK29(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f143]) ).
cnf(c_97,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(sK30,X0)
| ~ p2(X1)
| p2(X2)
| sP5(X0)
| sP4(X0)
| sP6(sK28) ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_98,negated_conjecture,
( ~ r1(sK30,X0)
| ~ p2(X0)
| sP5(X0)
| sP4(X0)
| sP6(sK28) ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_99,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK30,X0)
| ~ p2(X0)
| p2(X1)
| sP6(sK28)
| sP2(sK30) ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_100,negated_conjecture,
( ~ p2(sK30)
| sP6(sK28)
| sP2(sK30) ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_101,negated_conjecture,
( r1(sK28,sK30)
| sP6(sK28) ),
inference(cnf_transformation,[],[f138]) ).
cnf(c_105,negated_conjecture,
( ~ r1(sK28,X0)
| r1(X0,sK31(X0))
| p1(X0) ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_108,negated_conjecture,
( ~ r1(sK28,X0)
| p3(sK34(X0))
| sP0(sK28) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_109,negated_conjecture,
( ~ r1(sK28,X0)
| r1(X0,sK34(X0))
| sP0(sK28) ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_116,negated_conjecture,
( ~ r1(sK28,X0)
| ~ r1(sK28,X1)
| ~ p3(X1)
| p2(sK38(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_117,negated_conjecture,
( ~ r1(sK28,X0)
| ~ r1(sK28,X1)
| ~ p2(sK39(X0))
| ~ p3(X1)
| p2(X0) ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_118,negated_conjecture,
( ~ r1(sK28,X0)
| ~ r1(sK28,X1)
| ~ p3(X1)
| r1(sK38(X0),sK39(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f121]) ).
cnf(c_119,negated_conjecture,
( ~ r1(sK28,X0)
| ~ r1(sK28,X1)
| ~ p3(X1)
| r1(X0,sK38(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f120]) ).
cnf(c_120,negated_conjecture,
( ~ r1(sK28,X0)
| ~ p3(X0)
| ~ p2(sK40) ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_121,negated_conjecture,
( ~ r1(sK28,X0)
| ~ p3(X0)
| r1(sK28,sK40) ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_122,plain,
r1(sK28,sK28),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_123,plain,
( ~ sP0(sK28)
| r1(sK28,sK27(sK28)) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_124,plain,
( ~ p2(sK27(sK28))
| ~ sP0(sK28) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_135,plain,
( ~ sP6(sK28)
| r1(sK28,sK9(sK28))
| sP1(sK28) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_136,plain,
( ~ p2(sK9(sK28))
| ~ sP6(sK28)
| sP1(sK28) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_143,plain,
( ~ r1(sK28,sK28)
| r1(sK28,sK34(sK28))
| sP0(sK28) ),
inference(instantiation,[status(thm)],[c_109]) ).
cnf(c_714,plain,
( ~ r1(sK28,sK34(X0))
| ~ r1(sK28,X0)
| ~ r1(sK28,X1)
| r1(X1,sK38(X1))
| p2(X1)
| sP0(sK28) ),
inference(resolution,[status(thm)],[c_108,c_119]) ).
cnf(c_734,plain,
( ~ r1(sK28,sK34(X0))
| ~ r1(sK28,X0)
| ~ r1(sK28,X1)
| r1(sK38(X1),sK39(X1))
| p2(X1)
| sP0(sK28) ),
inference(resolution,[status(thm)],[c_108,c_118]) ).
cnf(c_754,plain,
( ~ r1(sK28,sK34(X0))
| ~ r1(sK28,X0)
| ~ r1(sK28,X1)
| ~ p2(sK39(X1))
| p2(X1)
| sP0(sK28) ),
inference(resolution,[status(thm)],[c_108,c_117]) ).
cnf(c_774,plain,
( ~ r1(sK28,sK34(X0))
| ~ r1(sK28,X0)
| ~ r1(sK28,X1)
| p2(sK38(X1))
| p2(X1)
| sP0(sK28) ),
inference(resolution,[status(thm)],[c_108,c_116]) ).
cnf(c_794,plain,
( ~ r1(sK28,sK34(X0))
| ~ r1(sK28,X0)
| r1(sK28,sK40)
| sP0(sK28) ),
inference(resolution,[status(thm)],[c_108,c_121]) ).
cnf(c_795,plain,
( ~ r1(sK28,sK34(sK28))
| ~ r1(sK28,sK28)
| r1(sK28,sK40)
| sP0(sK28) ),
inference(instantiation,[status(thm)],[c_794]) ).
cnf(c_796,plain,
( r1(sK28,sK40)
| sP0(sK28) ),
inference(global_subsumption_just,[status(thm)],[c_794,c_122,c_143,c_795]) ).
cnf(c_804,plain,
( ~ r1(sK28,sK34(X0))
| ~ r1(sK28,X0)
| ~ p2(sK40)
| sP0(sK28) ),
inference(resolution,[status(thm)],[c_108,c_120]) ).
cnf(c_805,plain,
( ~ r1(sK28,sK34(sK28))
| ~ r1(sK28,sK28)
| ~ p2(sK40)
| sP0(sK28) ),
inference(instantiation,[status(thm)],[c_804]) ).
cnf(c_1227,plain,
( ~ p2(sK30)
| r1(sK21(sK30),sK22(sK30))
| sP6(sK28) ),
inference(resolution,[status(thm)],[c_82,c_100]) ).
cnf(c_9527,plain,
( ~ r1(sK28,X0)
| p2(X0)
| p2(sK38(X0))
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_774]) ).
cnf(c_9528,plain,
( ~ r1(sK28,X0)
| ~ r1(sK28,sK34(X0))
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_774]) ).
cnf(c_9529,plain,
( sP0(sK28)
| sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_774]) ).
cnf(c_9530,plain,
( ~ r1(sK28,X0)
| p2(X0)
| ~ p2(sK39(X0))
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_754]) ).
cnf(c_9531,plain,
( sP0(sK28)
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_754]) ).
cnf(c_9532,plain,
( r1(sK38(X0),sK39(X0))
| ~ r1(sK28,X0)
| p2(X0)
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_734]) ).
cnf(c_9533,plain,
( sP0(sK28)
| sP1_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_734]) ).
cnf(c_9534,plain,
( r1(X0,sK38(X0))
| ~ r1(sK28,X0)
| p2(X0)
| ~ sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_714]) ).
cnf(c_9535,plain,
( sP0(sK28)
| sP1_iProver_def
| sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_714]) ).
cnf(c_9536,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK30,X0)
| ~ p2(X0)
| p2(X1)
| ~ sP5_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_99]) ).
cnf(c_9537,negated_conjecture,
( sP6(sK28)
| sP2(sK30)
| sP5_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_99]) ).
cnf(c_9539,plain,
( ~ r1(sK28,sK34(sK28))
| ~ r1(sK28,sK28)
| ~ sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_9528]) ).
cnf(c_9566,plain,
( ~ r1(sK28,sK27(X0))
| r1(sK27(X0),sK29(sK27(X0)))
| p2(sK27(X0)) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_9567,plain,
( ~ r1(sK28,sK27(sK28))
| r1(sK27(sK28),sK29(sK27(sK28)))
| p2(sK27(sK28)) ),
inference(instantiation,[status(thm)],[c_9566]) ).
cnf(c_9591,plain,
( ~ r1(sK28,sK40)
| r1(sK40,sK29(sK40))
| p2(sK40) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_9781,plain,
( ~ r1(X0,sK29(sK40))
| ~ r1(X1,X0)
| ~ sP1(X1)
| r1(sK23(sK29(sK40)),sK24(sK29(sK40)))
| p2(sK29(sK40)) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_9783,plain,
( ~ r1(X0,sK29(sK40))
| ~ r1(X1,X0)
| ~ sP1(X1)
| r1(sK29(sK40),sK23(sK29(sK40)))
| p2(sK29(sK40)) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_9784,plain,
( ~ r1(X0,sK29(sK40))
| ~ p2(sK24(sK29(sK40)))
| ~ r1(X1,X0)
| ~ sP1(X1)
| p2(sK29(sK40)) ),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_9789,plain,
( ~ r1(X0,sK29(sK40))
| ~ r1(X1,X0)
| ~ sP1(X1)
| p2(sK23(sK29(sK40)))
| p2(sK29(sK40)) ),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_9805,plain,
( ~ sP2(sK30)
| r1(sK30,sK21(sK30)) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_9843,plain,
( ~ r1(sK28,sK9(X0))
| ~ p2(sK39(sK9(X0)))
| ~ sP2_iProver_def
| p2(sK9(X0)) ),
inference(instantiation,[status(thm)],[c_9530]) ).
cnf(c_9844,plain,
( ~ r1(sK28,sK9(X0))
| ~ sP0_iProver_def
| p2(sK38(sK9(X0)))
| p2(sK9(X0)) ),
inference(instantiation,[status(thm)],[c_9527]) ).
cnf(c_9866,plain,
( ~ r1(X0,sK9(X1))
| ~ p2(sK26(sK9(X1)))
| ~ sP0(X0)
| p2(sK9(X1)) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_9887,plain,
( ~ r1(sK28,sK9(sK28))
| ~ p2(sK26(sK9(sK28)))
| ~ sP0(sK28)
| p2(sK9(sK28)) ),
inference(instantiation,[status(thm)],[c_9866]) ).
cnf(c_9928,plain,
( ~ r1(sK40,sK29(sK40))
| ~ p2(sK24(sK29(sK40)))
| ~ r1(X0,sK40)
| ~ sP1(X0)
| p2(sK29(sK40)) ),
inference(instantiation,[status(thm)],[c_9784]) ).
cnf(c_9929,plain,
( ~ r1(sK40,sK29(sK40))
| ~ p2(sK24(sK29(sK40)))
| ~ r1(sK28,sK40)
| ~ sP1(sK28)
| p2(sK29(sK40)) ),
inference(instantiation,[status(thm)],[c_9928]) ).
cnf(c_10012,plain,
( ~ r1(sK40,sK29(sK40))
| ~ r1(X0,sK40)
| ~ sP1(X0)
| r1(sK23(sK29(sK40)),sK24(sK29(sK40)))
| p2(sK29(sK40)) ),
inference(instantiation,[status(thm)],[c_9781]) ).
cnf(c_10013,plain,
( ~ r1(sK40,sK29(sK40))
| ~ r1(sK28,sK40)
| ~ sP1(sK28)
| r1(sK23(sK29(sK40)),sK24(sK29(sK40)))
| p2(sK29(sK40)) ),
inference(instantiation,[status(thm)],[c_10012]) ).
cnf(c_10016,plain,
( ~ r1(sK40,sK29(sK40))
| ~ r1(X0,sK40)
| ~ sP1(X0)
| r1(sK29(sK40),sK23(sK29(sK40)))
| p2(sK29(sK40)) ),
inference(instantiation,[status(thm)],[c_9783]) ).
cnf(c_10017,plain,
( ~ r1(sK40,sK29(sK40))
| ~ r1(sK28,sK40)
| ~ sP1(sK28)
| r1(sK29(sK40),sK23(sK29(sK40)))
| p2(sK29(sK40)) ),
inference(instantiation,[status(thm)],[c_10016]) ).
cnf(c_10023,plain,
( ~ r1(sK40,sK29(sK40))
| ~ r1(X0,sK40)
| ~ sP1(X0)
| p2(sK23(sK29(sK40)))
| p2(sK29(sK40)) ),
inference(instantiation,[status(thm)],[c_9789]) ).
cnf(c_10024,plain,
( ~ r1(sK40,sK29(sK40))
| ~ r1(sK28,sK40)
| ~ sP1(sK28)
| p2(sK23(sK29(sK40)))
| p2(sK29(sK40)) ),
inference(instantiation,[status(thm)],[c_10023]) ).
cnf(c_10040,plain,
( ~ r1(X0,sK24(sK29(sK40)))
| ~ r1(sK29(X1),X0)
| ~ r1(sK28,X1)
| ~ p2(X0)
| p2(sK24(sK29(sK40)))
| p2(X1) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_10129,plain,
( sP0_iProver_def
| sP0(sK28) ),
inference(global_subsumption_just,[status(thm)],[c_9529,c_122,c_143,c_9529,c_9539]) ).
cnf(c_10130,plain,
( sP0(sK28)
| sP0_iProver_def ),
inference(renaming,[status(thm)],[c_10129]) ).
cnf(c_10131,plain,
( sP0(sK28)
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_9531,c_122,c_143,c_9531,c_9539]) ).
cnf(c_10133,plain,
( sP0(sK28)
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_9533,c_122,c_143,c_9533,c_9539]) ).
cnf(c_10144,plain,
( sP0(sK28)
| sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_9535,c_122,c_143,c_9535,c_9539]) ).
cnf(c_10275,plain,
( ~ r1(sK23(sK29(sK40)),sK24(sK29(sK40)))
| ~ r1(sK29(sK40),sK23(sK29(sK40)))
| ~ p2(sK23(sK29(sK40)))
| ~ r1(sK28,sK40)
| p2(sK24(sK29(sK40)))
| p2(sK40) ),
inference(instantiation,[status(thm)],[c_10040]) ).
cnf(c_10362,plain,
( ~ p2(sK29(sK27(sK28)))
| ~ sP0(sK28)
| p2(sK27(sK28)) ),
inference(superposition,[status(thm)],[c_93,c_95]) ).
cnf(c_10385,plain,
( ~ p2(sK29(sK40))
| p2(sK40)
| sP0(sK28) ),
inference(superposition,[status(thm)],[c_796,c_95]) ).
cnf(c_10905,plain,
( ~ r1(X0,sK29(sK27(sK28)))
| ~ r1(X1,X0)
| ~ sP1(X1)
| r1(sK23(sK29(sK27(sK28))),sK24(sK29(sK27(sK28))))
| p2(sK29(sK27(sK28))) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_10907,plain,
( ~ r1(X0,sK29(sK27(sK28)))
| ~ r1(X1,X0)
| ~ sP1(X1)
| r1(sK29(sK27(sK28)),sK23(sK29(sK27(sK28))))
| p2(sK29(sK27(sK28))) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_10908,plain,
( ~ r1(X0,sK29(sK27(sK28)))
| ~ p2(sK24(sK29(sK27(sK28))))
| ~ r1(X1,X0)
| ~ sP1(X1)
| p2(sK29(sK27(sK28))) ),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_10913,plain,
( ~ r1(X0,sK29(sK27(sK28)))
| ~ r1(X1,X0)
| ~ sP1(X1)
| p2(sK23(sK29(sK27(sK28))))
| p2(sK29(sK27(sK28))) ),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_11243,plain,
( ~ sP0_iProver_def
| p2(sK38(sK30))
| p2(sK30)
| sP6(sK28) ),
inference(resolution,[status(thm)],[c_9527,c_101]) ).
cnf(c_11343,plain,
( ~ p2(sK29(sK40))
| sP0(sK28) ),
inference(global_subsumption_just,[status(thm)],[c_10385,c_122,c_143,c_805,c_10385]) ).
cnf(c_11594,plain,
( ~ p2(sK21(sK30))
| ~ sP2(sK30)
| sP5(sK21(sK30))
| sP4(sK21(sK30))
| sP6(sK28) ),
inference(resolution,[status(thm)],[c_98,c_83]) ).
cnf(c_12310,plain,
( ~ r1(sK28,X0)
| ~ sP2(X0)
| p2(sK19(sK29(X0)))
| p2(sK29(X0))
| p2(X0) ),
inference(superposition,[status(thm)],[c_96,c_76]) ).
cnf(c_12335,plain,
( ~ r1(sK27(sK28),sK29(sK27(sK28)))
| ~ p2(sK24(sK29(sK27(sK28))))
| ~ r1(X0,sK27(sK28))
| ~ sP1(X0)
| p2(sK29(sK27(sK28))) ),
inference(instantiation,[status(thm)],[c_10908]) ).
cnf(c_12336,plain,
( ~ r1(sK27(sK28),sK29(sK27(sK28)))
| ~ p2(sK24(sK29(sK27(sK28))))
| ~ r1(sK28,sK27(sK28))
| ~ sP1(sK28)
| p2(sK29(sK27(sK28))) ),
inference(instantiation,[status(thm)],[c_12335]) ).
cnf(c_12421,plain,
( ~ r1(sK38(sK30),X0)
| ~ r1(sK28,sK30)
| ~ p2(sK38(sK30))
| ~ sP4_iProver_def
| ~ sP5_iProver_def
| p2(X0)
| p2(sK30) ),
inference(resolution,[status(thm)],[c_9534,c_9536]) ).
cnf(c_12736,plain,
( ~ sP6(X0)
| ~ sP0(X0)
| p2(sK25(sK9(X0)))
| p2(sK9(X0))
| sP1(X0) ),
inference(superposition,[status(thm)],[c_56,c_88]) ).
cnf(c_12743,plain,
( ~ sP0(sK28)
| p2(sK25(sK30))
| p2(sK30)
| sP6(sK28) ),
inference(superposition,[status(thm)],[c_101,c_88]) ).
cnf(c_12789,plain,
( ~ r1(sK27(sK28),sK29(sK27(sK28)))
| ~ r1(X0,sK27(sK28))
| ~ sP1(X0)
| r1(sK23(sK29(sK27(sK28))),sK24(sK29(sK27(sK28))))
| p2(sK29(sK27(sK28))) ),
inference(instantiation,[status(thm)],[c_10905]) ).
cnf(c_12790,plain,
( ~ r1(sK27(sK28),sK29(sK27(sK28)))
| ~ r1(sK28,sK27(sK28))
| ~ sP1(sK28)
| r1(sK23(sK29(sK27(sK28))),sK24(sK29(sK27(sK28))))
| p2(sK29(sK27(sK28))) ),
inference(instantiation,[status(thm)],[c_12789]) ).
cnf(c_12794,plain,
( ~ r1(sK27(sK28),sK29(sK27(sK28)))
| ~ r1(X0,sK27(sK28))
| ~ sP1(X0)
| r1(sK29(sK27(sK28)),sK23(sK29(sK27(sK28))))
| p2(sK29(sK27(sK28))) ),
inference(instantiation,[status(thm)],[c_10907]) ).
cnf(c_12795,plain,
( ~ r1(sK27(sK28),sK29(sK27(sK28)))
| ~ r1(sK28,sK27(sK28))
| ~ sP1(sK28)
| r1(sK29(sK27(sK28)),sK23(sK29(sK27(sK28))))
| p2(sK29(sK27(sK28))) ),
inference(instantiation,[status(thm)],[c_12794]) ).
cnf(c_12799,plain,
( ~ r1(sK27(sK28),sK29(sK27(sK28)))
| ~ r1(X0,sK27(sK28))
| ~ sP1(X0)
| p2(sK23(sK29(sK27(sK28))))
| p2(sK29(sK27(sK28))) ),
inference(instantiation,[status(thm)],[c_10913]) ).
cnf(c_12800,plain,
( ~ r1(sK27(sK28),sK29(sK27(sK28)))
| ~ r1(sK28,sK27(sK28))
| ~ sP1(sK28)
| p2(sK23(sK29(sK27(sK28))))
| p2(sK29(sK27(sK28))) ),
inference(instantiation,[status(thm)],[c_12799]) ).
cnf(c_13053,plain,
( ~ r1(X0,sK24(sK29(sK27(sK28))))
| ~ r1(sK29(X1),X0)
| ~ r1(sK28,X1)
| ~ p2(X0)
| p2(sK24(sK29(sK27(sK28))))
| p2(X1) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_13745,plain,
( ~ r1(sK28,X0)
| ~ sP2(X0)
| r1(sK29(X0),sK19(sK29(X0)))
| p2(sK29(X0))
| p2(X0) ),
inference(resolution,[status(thm)],[c_79,c_96]) ).
cnf(c_14362,plain,
( ~ sP0(sK28)
| r1(sK30,sK25(sK30))
| p2(sK30)
| sP6(sK28) ),
inference(resolution,[status(thm)],[c_91,c_101]) ).
cnf(c_14415,plain,
( ~ r1(sK23(sK29(sK27(sK28))),sK24(sK29(sK27(sK28))))
| ~ r1(sK29(X0),sK23(sK29(sK27(sK28))))
| ~ p2(sK23(sK29(sK27(sK28))))
| ~ r1(sK28,X0)
| p2(sK24(sK29(sK27(sK28))))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_13053]) ).
cnf(c_15078,plain,
( ~ r1(sK25(sK30),X0)
| ~ p2(sK25(sK30))
| ~ sP0(sK28)
| ~ sP5_iProver_def
| p2(X0)
| p2(sK30)
| sP6(sK28) ),
inference(resolution,[status(thm)],[c_14362,c_9536]) ).
cnf(c_15203,plain,
( r1(sK29(X0),sK19(sK29(X0)))
| ~ sP2(X0)
| ~ r1(sK28,X0)
| p2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_13745,c_95,c_13745]) ).
cnf(c_15204,plain,
( ~ r1(sK28,X0)
| ~ sP2(X0)
| r1(sK29(X0),sK19(sK29(X0)))
| p2(X0) ),
inference(renaming,[status(thm)],[c_15203]) ).
cnf(c_15230,plain,
( ~ r1(sK19(sK29(X0)),X1)
| ~ p2(sK19(sK29(X0)))
| ~ r1(sK28,X0)
| ~ sP2(X0)
| p2(X0)
| p2(X1) ),
inference(resolution,[status(thm)],[c_15204,c_94]) ).
cnf(c_16002,plain,
( ~ r1(sK23(sK29(sK27(sK28))),sK24(sK29(sK27(sK28))))
| ~ r1(sK29(sK27(sK28)),sK23(sK29(sK27(sK28))))
| ~ p2(sK23(sK29(sK27(sK28))))
| ~ r1(sK28,sK27(sK28))
| p2(sK24(sK29(sK27(sK28))))
| p2(sK27(sK28)) ),
inference(instantiation,[status(thm)],[c_14415]) ).
cnf(c_16176,plain,
( ~ p2(sK20(sK29(X0)))
| ~ r1(sK28,X0)
| ~ sP2(X0)
| p2(sK29(X0))
| p2(X0) ),
inference(superposition,[status(thm)],[c_96,c_77]) ).
cnf(c_16687,plain,
( ~ r1(sK21(sK30),X0)
| ~ r1(sK30,sK21(sK30))
| ~ r1(X0,X1)
| ~ p2(X0)
| sP5(sK21(sK30))
| sP4(sK21(sK30))
| p2(X1)
| sP6(sK28) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_16859,plain,
( ~ p2(sK22(sK30))
| ~ sP2(sK30) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_16897,plain,
( ~ p2(sK26(sK30))
| ~ sP0(sK28)
| p2(sK30)
| sP6(sK28) ),
inference(superposition,[status(thm)],[c_101,c_89]) ).
cnf(c_17079,plain,
( ~ r1(X0,sK22(sK30))
| ~ sP4(X0)
| r1(sK13(sK22(sK30)),sK14(sK22(sK30)))
| p2(sK22(sK30)) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_17080,plain,
( ~ r1(X0,sK22(sK30))
| ~ sP5(X0)
| r1(sK10(sK22(sK30)),sK11(sK22(sK30)))
| p2(sK22(sK30)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_17085,plain,
( ~ r1(X0,sK22(sK30))
| ~ sP4(X0)
| r1(sK22(sK30),sK13(sK22(sK30)))
| p2(sK22(sK30)) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_17086,plain,
( ~ r1(X0,sK22(sK30))
| ~ p2(sK14(sK22(sK30)))
| ~ sP4(X0)
| p2(sK22(sK30)) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_17087,plain,
( ~ r1(X0,sK22(sK30))
| ~ sP5(X0)
| r1(sK22(sK30),sK10(sK22(sK30)))
| p2(sK22(sK30)) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_17088,plain,
( ~ r1(X0,sK22(sK30))
| ~ p2(sK11(sK22(sK30)))
| ~ sP5(X0)
| p2(sK22(sK30)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_17091,plain,
( ~ r1(X0,sK22(sK30))
| ~ sP4(X0)
| p2(sK13(sK22(sK30)))
| p2(sK22(sK30)) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_17092,plain,
( ~ r1(X0,sK22(sK30))
| ~ sP5(X0)
| p2(sK10(sK22(sK30)))
| p2(sK22(sK30)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_17351,plain,
( ~ r1(X0,sK21(sK30))
| ~ sP2(X0)
| r1(sK19(sK21(sK30)),sK20(sK21(sK30)))
| p2(sK21(sK30)) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_17356,plain,
( ~ r1(X0,sK21(sK30))
| ~ sP2(X0)
| r1(sK21(sK30),sK19(sK21(sK30)))
| p2(sK21(sK30)) ),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_17357,plain,
( ~ r1(X0,sK21(sK30))
| ~ p2(sK20(sK21(sK30)))
| ~ sP2(X0)
| p2(sK21(sK30)) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_17363,plain,
( ~ r1(X0,sK21(sK30))
| ~ sP2(X0)
| p2(sK19(sK21(sK30)))
| p2(sK21(sK30)) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_17680,plain,
( ~ sP6(X0)
| ~ sP0(X0)
| r1(sK9(X0),sK25(sK9(X0)))
| p2(sK9(X0))
| sP1(X0) ),
inference(superposition,[status(thm)],[c_56,c_91]) ).
cnf(c_17975,plain,
( ~ r1(sK21(sK30),sK22(sK30))
| ~ p2(sK14(sK22(sK30)))
| ~ sP4(sK21(sK30))
| p2(sK22(sK30)) ),
inference(instantiation,[status(thm)],[c_17086]) ).
cnf(c_17999,plain,
( ~ r1(sK30,sK21(sK30))
| ~ p2(sK20(sK21(sK30)))
| ~ sP2(sK30)
| p2(sK21(sK30)) ),
inference(instantiation,[status(thm)],[c_17357]) ).
cnf(c_18713,plain,
( ~ r1(sK21(sK30),sK22(sK30))
| ~ sP4(sK21(sK30))
| r1(sK13(sK22(sK30)),sK14(sK22(sK30)))
| p2(sK22(sK30)) ),
inference(instantiation,[status(thm)],[c_17079]) ).
cnf(c_18719,plain,
( ~ r1(sK21(sK30),sK22(sK30))
| ~ sP4(sK21(sK30))
| r1(sK22(sK30),sK13(sK22(sK30)))
| p2(sK22(sK30)) ),
inference(instantiation,[status(thm)],[c_17085]) ).
cnf(c_18725,plain,
( ~ r1(sK21(sK30),sK22(sK30))
| ~ sP4(sK21(sK30))
| p2(sK13(sK22(sK30)))
| p2(sK22(sK30)) ),
inference(instantiation,[status(thm)],[c_17091]) ).
cnf(c_18752,plain,
( ~ r1(sK30,sK21(sK30))
| ~ sP2(sK30)
| r1(sK19(sK21(sK30)),sK20(sK21(sK30)))
| p2(sK21(sK30)) ),
inference(instantiation,[status(thm)],[c_17351]) ).
cnf(c_18784,plain,
( ~ r1(sK30,sK21(sK30))
| ~ sP2(sK30)
| r1(sK21(sK30),sK19(sK21(sK30)))
| p2(sK21(sK30)) ),
inference(instantiation,[status(thm)],[c_17356]) ).
cnf(c_18894,plain,
( ~ r1(sK28,X0)
| ~ sP2(X0)
| r1(sK19(sK29(X0)),sK20(sK29(X0)))
| p2(sK29(X0))
| p2(X0) ),
inference(resolution,[status(thm)],[c_78,c_96]) ).
cnf(c_18930,plain,
( ~ r1(sK30,sK21(sK30))
| ~ sP2(sK30)
| p2(sK19(sK21(sK30)))
| p2(sK21(sK30)) ),
inference(instantiation,[status(thm)],[c_17363]) ).
cnf(c_19302,plain,
( ~ r1(sK21(sK30),sK22(sK30))
| ~ sP5(sK21(sK30))
| p2(sK10(sK22(sK30)))
| p2(sK22(sK30)) ),
inference(instantiation,[status(thm)],[c_17092]) ).
cnf(c_19303,plain,
( ~ r1(sK21(sK30),sK22(sK30))
| ~ sP5(sK21(sK30))
| r1(sK22(sK30),sK10(sK22(sK30)))
| p2(sK22(sK30)) ),
inference(instantiation,[status(thm)],[c_17087]) ).
cnf(c_19304,plain,
( ~ r1(sK21(sK30),sK22(sK30))
| ~ sP5(sK21(sK30))
| r1(sK10(sK22(sK30)),sK11(sK22(sK30)))
| p2(sK22(sK30)) ),
inference(instantiation,[status(thm)],[c_17080]) ).
cnf(c_19307,plain,
( ~ r1(sK21(sK30),sK22(sK30))
| ~ p2(sK11(sK22(sK30)))
| ~ sP5(sK21(sK30))
| p2(sK22(sK30)) ),
inference(instantiation,[status(thm)],[c_17088]) ).
cnf(c_19519,plain,
( ~ sP0(sK28)
| r1(sK25(sK30),sK26(sK30))
| p2(sK30)
| sP6(sK28) ),
inference(resolution,[status(thm)],[c_90,c_101]) ).
cnf(c_20222,plain,
( ~ r1(X0,sK11(sK22(sK30)))
| ~ r1(sK22(X1),X0)
| ~ p2(X0)
| ~ sP2(X1)
| p2(sK11(sK22(sK30))) ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_21606,plain,
( ~ sP6(X0)
| ~ sP0(X0)
| r1(sK25(sK9(X0)),sK26(sK9(X0)))
| p2(sK9(X0))
| sP1(X0) ),
inference(superposition,[status(thm)],[c_56,c_90]) ).
cnf(c_21725,plain,
( ~ r1(X0,sK11(sK22(sK30)))
| ~ r1(sK22(sK30),X0)
| ~ p2(X0)
| ~ sP2(sK30)
| p2(sK11(sK22(sK30))) ),
inference(instantiation,[status(thm)],[c_20222]) ).
cnf(c_23332,plain,
( ~ r1(sK10(sK22(sK30)),sK11(sK22(sK30)))
| ~ r1(sK22(sK30),sK10(sK22(sK30)))
| ~ p2(sK10(sK22(sK30)))
| ~ sP2(sK30)
| p2(sK11(sK22(sK30))) ),
inference(instantiation,[status(thm)],[c_21725]) ).
cnf(c_23539,plain,
( r1(sK19(sK29(X0)),sK20(sK29(X0)))
| ~ sP2(X0)
| ~ r1(sK28,X0)
| p2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_18894,c_95,c_18894]) ).
cnf(c_23540,plain,
( ~ r1(sK28,X0)
| ~ sP2(X0)
| r1(sK19(sK29(X0)),sK20(sK29(X0)))
| p2(X0) ),
inference(renaming,[status(thm)],[c_23539]) ).
cnf(c_24106,plain,
( ~ r1(sK21(sK30),sK19(sK21(sK30)))
| ~ r1(sK19(sK21(sK30)),X0)
| ~ r1(sK30,sK21(sK30))
| ~ p2(sK19(sK21(sK30)))
| sP5(sK21(sK30))
| sP4(sK21(sK30))
| p2(X0)
| sP6(sK28) ),
inference(instantiation,[status(thm)],[c_16687]) ).
cnf(c_24892,plain,
( ~ r1(sK28,sK30)
| ~ p2(sK39(sK30))
| ~ sP2_iProver_def
| p2(sK30) ),
inference(instantiation,[status(thm)],[c_9530]) ).
cnf(c_25102,plain,
( ~ r1(sK19(sK21(sK30)),sK20(sK21(sK30)))
| ~ r1(sK21(sK30),sK19(sK21(sK30)))
| ~ r1(sK30,sK21(sK30))
| ~ p2(sK19(sK21(sK30)))
| p2(sK20(sK21(sK30)))
| sP5(sK21(sK30))
| sP4(sK21(sK30))
| sP6(sK28) ),
inference(instantiation,[status(thm)],[c_24106]) ).
cnf(c_25578,plain,
( ~ r1(sK25(sK30),X0)
| ~ sP0(sK28)
| ~ sP5_iProver_def
| p2(X0)
| p2(sK30)
| sP6(sK28) ),
inference(global_subsumption_just,[status(thm)],[c_15078,c_12743,c_15078]) ).
cnf(c_25610,plain,
( ~ r1(sK28,sK25(sK30))
| ~ sP0(sK28)
| ~ sP5_iProver_def
| p2(sK31(sK25(sK30)))
| p1(sK25(sK30))
| p2(sK30)
| sP6(sK28) ),
inference(resolution,[status(thm)],[c_25578,c_105]) ).
cnf(c_25614,plain,
( ~ sP0(sK28)
| ~ sP5_iProver_def
| p2(sK26(sK30))
| p2(sK30)
| sP6(sK28) ),
inference(resolution,[status(thm)],[c_25578,c_19519]) ).
cnf(c_26414,plain,
( ~ r1(X0,sK14(sK22(sK30)))
| ~ r1(sK22(X1),X0)
| ~ p2(X0)
| ~ sP2(X1)
| p2(sK14(sK22(sK30))) ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_26637,plain,
( ~ r1(sK28,sK30)
| ~ p2(sK38(sK30))
| ~ sP3_iProver_def
| ~ sP4_iProver_def
| ~ sP5_iProver_def
| p2(sK39(sK30))
| p2(sK30) ),
inference(resolution,[status(thm)],[c_12421,c_9532]) ).
cnf(c_26690,plain,
( ~ sP0(sK28)
| ~ sP5_iProver_def
| p2(sK30)
| sP6(sK28) ),
inference(global_subsumption_just,[status(thm)],[c_25610,c_16897,c_25614]) ).
cnf(c_26692,plain,
( ~ sP5_iProver_def
| p2(sK30)
| sP6(sK28) ),
inference(global_subsumption_just,[status(thm)],[c_26690,c_101,c_10130,c_10131,c_10133,c_10144,c_11243,c_24892,c_26637,c_26690]) ).
cnf(c_26834,plain,
( sP2(sK30)
| sP6(sK28) ),
inference(global_subsumption_just,[status(thm)],[c_9537,c_100,c_9537,c_26692]) ).
cnf(c_26835,negated_conjecture,
( sP6(sK28)
| sP2(sK30) ),
inference(renaming,[status(thm)],[c_26834]) ).
cnf(c_27878,plain,
( ~ sP0(sK28)
| ~ p2(sK29(sK27(sK28))) ),
inference(global_subsumption_just,[status(thm)],[c_10362,c_124,c_10362]) ).
cnf(c_27879,plain,
( ~ p2(sK29(sK27(sK28)))
| ~ sP0(sK28) ),
inference(renaming,[status(thm)],[c_27878]) ).
cnf(c_28618,plain,
( ~ sP6(X0)
| ~ sP0(X0)
| p2(sK25(sK9(X0)))
| p2(sK9(X0))
| sP1(X0) ),
inference(resolution,[status(thm)],[c_56,c_88]) ).
cnf(c_28620,plain,
( ~ sP6(X0)
| ~ sP0(X0)
| r1(sK9(X0),sK25(sK9(X0)))
| p2(sK9(X0))
| sP1(X0) ),
inference(resolution,[status(thm)],[c_56,c_91]) ).
cnf(c_28625,plain,
( ~ sP6(X0)
| ~ sP0(X0)
| r1(sK25(sK9(X0)),sK26(sK9(X0)))
| p2(sK9(X0))
| sP1(X0) ),
inference(resolution,[status(thm)],[c_56,c_90]) ).
cnf(c_29053,plain,
( ~ r1(sK38(sK9(X0)),X1)
| ~ r1(sK28,sK9(X0))
| ~ p2(sK38(sK9(X0)))
| ~ sP6(X0)
| ~ sP4_iProver_def
| p2(sK9(X0))
| p2(X1)
| sP1(X0) ),
inference(resolution,[status(thm)],[c_54,c_9534]) ).
cnf(c_29264,plain,
( ~ r1(sK13(sK22(sK30)),sK14(sK22(sK30)))
| ~ r1(sK22(X0),sK13(sK22(sK30)))
| ~ p2(sK13(sK22(sK30)))
| ~ sP2(X0)
| p2(sK14(sK22(sK30))) ),
inference(instantiation,[status(thm)],[c_26414]) ).
cnf(c_29650,plain,
( ~ r1(sK19(sK29(X0)),X1)
| ~ r1(sK28,X0)
| ~ sP2(X0)
| p2(X0)
| p2(X1) ),
inference(global_subsumption_just,[status(thm)],[c_15230,c_95,c_12310,c_15230]) ).
cnf(c_29686,plain,
( ~ r1(sK28,sK19(sK29(X0)))
| ~ r1(sK28,X0)
| ~ sP2(X0)
| p2(sK34(sK19(sK29(X0))))
| p2(X0)
| sP0(sK28) ),
inference(resolution,[status(thm)],[c_29650,c_109]) ).
cnf(c_29695,plain,
( ~ r1(sK28,X0)
| ~ sP2(X0)
| p2(sK20(sK29(X0)))
| p2(X0) ),
inference(resolution,[status(thm)],[c_29650,c_23540]) ).
cnf(c_30382,plain,
( p2(X0)
| ~ r1(sK28,X0)
| ~ sP2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_29686,c_95,c_16176,c_29695]) ).
cnf(c_30383,plain,
( ~ r1(sK28,X0)
| ~ sP2(X0)
| p2(X0) ),
inference(renaming,[status(thm)],[c_30382]) ).
cnf(c_30404,plain,
( ~ sP2(sK30)
| p2(sK30)
| sP6(sK28) ),
inference(resolution,[status(thm)],[c_30383,c_101]) ).
cnf(c_30474,plain,
( p2(sK30)
| sP6(sK28) ),
inference(global_subsumption_just,[status(thm)],[c_30404,c_26835,c_30404]) ).
cnf(c_30483,plain,
( sP6(sK28)
| sP2(sK30) ),
inference(backward_subsumption_resolution,[status(thm)],[c_100,c_30474]) ).
cnf(c_30492,plain,
( ~ p2(sK21(sK30))
| sP5(sK21(sK30))
| sP4(sK21(sK30))
| sP6(sK28) ),
inference(backward_subsumption_resolution,[status(thm)],[c_11594,c_30483]) ).
cnf(c_31511,plain,
( p2(sK25(sK9(X0)))
| ~ sP0(X0)
| ~ sP6(X0)
| sP1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_28618,c_55,c_12736]) ).
cnf(c_31512,plain,
( ~ sP6(X0)
| ~ sP0(X0)
| p2(sK25(sK9(X0)))
| sP1(X0) ),
inference(renaming,[status(thm)],[c_31511]) ).
cnf(c_33293,plain,
( ~ r1(sK13(sK22(sK30)),sK14(sK22(sK30)))
| ~ r1(sK22(sK30),sK13(sK22(sK30)))
| ~ p2(sK13(sK22(sK30)))
| ~ sP2(sK30)
| p2(sK14(sK22(sK30))) ),
inference(instantiation,[status(thm)],[c_29264]) ).
cnf(c_34201,plain,
( sP5(sK21(sK30))
| sP4(sK21(sK30))
| sP6(sK28) ),
inference(global_subsumption_just,[status(thm)],[c_30492,c_9805,c_17999,c_18752,c_18784,c_18930,c_25102,c_26835,c_30492]) ).
cnf(c_34203,plain,
( sP4(sK21(sK30))
| sP6(sK28) ),
inference(global_subsumption_just,[status(thm)],[c_34201,c_1227,c_16859,c_19307,c_19304,c_19303,c_19302,c_23332,c_26835,c_30404,c_34201]) ).
cnf(c_34205,plain,
sP6(sK28),
inference(global_subsumption_just,[status(thm)],[c_34203,c_1227,c_16859,c_17975,c_18713,c_18719,c_18725,c_26835,c_30404,c_33293,c_34203]) ).
cnf(c_34279,plain,
( r1(sK9(X0),sK25(sK9(X0)))
| ~ sP0(X0)
| ~ sP6(X0)
| sP1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_28620,c_55,c_17680]) ).
cnf(c_34280,plain,
( ~ sP6(X0)
| ~ sP0(X0)
| r1(sK9(X0),sK25(sK9(X0)))
| sP1(X0) ),
inference(renaming,[status(thm)],[c_34279]) ).
cnf(c_34367,plain,
( r1(sK25(sK9(X0)),sK26(sK9(X0)))
| ~ sP0(X0)
| ~ sP6(X0)
| sP1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_28625,c_55,c_21606]) ).
cnf(c_34368,plain,
( ~ sP6(X0)
| ~ sP0(X0)
| r1(sK25(sK9(X0)),sK26(sK9(X0)))
| sP1(X0) ),
inference(renaming,[status(thm)],[c_34367]) ).
cnf(c_35335,plain,
( ~ r1(sK25(sK9(X0)),X1)
| ~ p2(sK25(sK9(X0)))
| ~ sP6(X0)
| ~ sP0(X0)
| p2(X1)
| sP1(X0) ),
inference(resolution,[status(thm)],[c_34280,c_54]) ).
cnf(c_36397,plain,
( ~ sP4_iProver_def
| ~ sP6(X0)
| ~ p2(sK38(sK9(X0)))
| ~ r1(sK28,sK9(X0))
| ~ r1(sK38(sK9(X0)),X1)
| p2(X1)
| sP1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_29053,c_55,c_29053]) ).
cnf(c_36398,plain,
( ~ r1(sK38(sK9(X0)),X1)
| ~ r1(sK28,sK9(X0))
| ~ p2(sK38(sK9(X0)))
| ~ sP6(X0)
| ~ sP4_iProver_def
| p2(X1)
| sP1(X0) ),
inference(renaming,[status(thm)],[c_36397]) ).
cnf(c_38469,plain,
( ~ r1(sK28,sK38(sK9(X0)))
| ~ r1(sK28,sK9(X0))
| ~ p2(sK38(sK9(X0)))
| ~ sP6(X0)
| ~ sP4_iProver_def
| p2(sK34(sK38(sK9(X0))))
| sP1(X0)
| sP0(sK28) ),
inference(resolution,[status(thm)],[c_36398,c_109]) ).
cnf(c_38473,plain,
( ~ r1(sK28,sK9(X0))
| ~ p2(sK38(sK9(X0)))
| ~ sP6(X0)
| ~ sP3_iProver_def
| ~ sP4_iProver_def
| p2(sK39(sK9(X0)))
| p2(sK9(X0))
| sP1(X0) ),
inference(resolution,[status(thm)],[c_36398,c_9532]) ).
cnf(c_38479,plain,
( ~ r1(sK28,sK9(X0))
| ~ sP6(X0)
| sP1(X0)
| sP0(sK28) ),
inference(global_subsumption_just,[status(thm)],[c_38469,c_55,c_9844,c_9843,c_10130,c_10131,c_10133,c_10144,c_38473]) ).
cnf(c_38498,plain,
( ~ sP6(sK28)
| sP1(sK28)
| sP0(sK28) ),
inference(resolution,[status(thm)],[c_38479,c_56]) ).
cnf(c_38531,plain,
sP0(sK28),
inference(global_subsumption_just,[status(thm)],[c_38498,c_122,c_143,c_795,c_805,c_9591,c_9929,c_10013,c_10017,c_10024,c_10275,c_11343,c_34205,c_38498]) ).
cnf(c_40172,plain,
( ~ r1(sK25(sK9(X0)),X1)
| ~ sP6(X0)
| ~ sP0(X0)
| p2(X1)
| sP1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_35335,c_31512,c_35335]) ).
cnf(c_40215,plain,
( ~ sP6(X0)
| ~ sP0(X0)
| p2(sK26(sK9(X0)))
| sP1(X0) ),
inference(resolution,[status(thm)],[c_40172,c_34368]) ).
cnf(c_40216,plain,
( ~ sP6(sK28)
| ~ sP0(sK28)
| p2(sK26(sK9(sK28)))
| sP1(sK28) ),
inference(instantiation,[status(thm)],[c_40215]) ).
cnf(c_40217,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_40216,c_38531,c_34205,c_27879,c_16002,c_12800,c_12795,c_12790,c_12336,c_9887,c_9567,c_136,c_135,c_124,c_123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL660+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n006.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 : Thu May 2 19:11:04 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 10.19/2.13 % SZS status Started for theBenchmark.p
% 10.19/2.13 % SZS status Theorem for theBenchmark.p
% 10.19/2.13
% 10.19/2.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.19/2.13
% 10.19/2.13 ------ iProver source info
% 10.19/2.13
% 10.19/2.13 git: date: 2024-05-02 19:28:25 +0000
% 10.19/2.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.19/2.13 git: non_committed_changes: false
% 10.19/2.13
% 10.19/2.13 ------ Parsing...
% 10.19/2.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 10.19/2.13
% 10.19/2.13 ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 10.19/2.13
% 10.19/2.13 ------ Preprocessing... gs_s sp: 9 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.19/2.13 ------ Proving...
% 10.19/2.13 ------ Problem Properties
% 10.19/2.13
% 10.19/2.13
% 10.19/2.13 clauses 76
% 10.19/2.13 conjectures 20
% 10.19/2.13 EPR 17
% 10.19/2.13 Horn 31
% 10.19/2.13 unary 5
% 10.19/2.13 binary 11
% 10.19/2.13 lits 268
% 10.19/2.13 lits eq 0
% 10.19/2.13 fd_pure 0
% 10.19/2.13 fd_pseudo 0
% 10.19/2.13 fd_cond 0
% 10.19/2.13 fd_pseudo_cond 0
% 10.19/2.13 AC symbols 0
% 10.19/2.13
% 10.19/2.13 ------ Input Options Time Limit: Unbounded
% 10.19/2.13
% 10.19/2.13
% 10.19/2.13 ------
% 10.19/2.13 Current options:
% 10.19/2.13 ------
% 10.19/2.13
% 10.19/2.13
% 10.19/2.13
% 10.19/2.13
% 10.19/2.13 ------ Proving...
% 10.19/2.13
% 10.19/2.13
% 10.19/2.13 % SZS status Theorem for theBenchmark.p
% 10.19/2.13
% 10.19/2.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.19/2.14
% 10.19/2.14
%------------------------------------------------------------------------------