TSTP Solution File: LCL642+1.001 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL642+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 07:45:20 EDT 2023
% Result : Theorem 3.67s 1.15s
% Output : CNFRefutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 35
% Syntax : Number of formulae : 211 ( 6 unt; 0 def)
% Number of atoms : 1981 ( 0 equ)
% Maximal formula atoms : 107 ( 9 avg)
% Number of connectives : 2979 (1209 ~;1254 |; 488 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 2 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 5 con; 0-1 aty)
% Number of variables : 840 ( 0 sgn; 525 !; 208 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/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) )
| 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)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) ),
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) )
| 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)
| ! [X54] :
( p3(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| p3(X52)
| ~ r1(X0,X52) )
| ! [X55] :
( p3(X55)
| ~ r1(X0,X55) ) ),
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) )
| 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)
| ! [X54] :
( p3(X54)
| ~ r1(X53,X54) )
| ~ r1(X52,X53) )
| p3(X52)
| ~ r1(X0,X52) )
| ! [X55] :
( p3(X55)
| ~ r1(X0,X55) ) ),
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) )
| 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)
& ? [X54] :
( ~ p3(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p3(X52)
| ~ r1(X0,X52) )
& ? [X55] :
( ~ p3(X55)
& r1(X0,X55) ) ),
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) )
| 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)
& ? [X54] :
( ~ p3(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p3(X52)
| ~ r1(X0,X52) )
& ? [X55] :
( ~ p3(X55)
& r1(X0,X55) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
! [X0] :
( ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,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) ) )
| ~ sP1(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f9,plain,
! [X16] :
( ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) )
| ~ sP2(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f10,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) ) )
| ~ sP3(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f11,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) )
| sP2(X16) ) )
| ~ r1(X6,X16) )
| ~ sP4(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f12,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) )
| sP0(X0) ) )
| ~ 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) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP3(X6)
| sP4(X6)
| ~ r1(X5,X6) )
& ( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| sP1(X5) )
& r1(X0,X5) )
| sP5(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) )
& ! [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)
& ? [X54] :
( ~ p3(X54)
& r1(X53,X54) )
& r1(X52,X53) )
| p3(X52)
| ~ r1(X0,X52) )
& ? [X55] :
( ~ p3(X55)
& r1(X0,X55) ) ),
inference(definition_folding,[],[f6,f12,f11,f10,f9,f8,f7]) ).
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) )
| sP0(X0) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f12]) ).
fof(f15,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) )
| sP0(X0) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f14]) ).
fof(f16,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( p2(sK6(X0))
& ? [X2] :
( ~ p2(X2)
& r1(sK6(X0),X2) )
& r1(X0,sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
( ? [X2] :
( ~ p2(X2)
& r1(sK6(X0),X2) )
=> ( ~ p2(sK7(X0))
& r1(sK6(X0),sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,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(sK8(X0),X4) )
& ~ p2(sK8(X0))
& r1(X0,sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( ( ( ( p2(sK6(X0))
& ~ p2(sK7(X0))
& r1(sK6(X0),sK7(X0))
& r1(X0,sK6(X0)) )
| p2(X0) )
& ( ( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(sK8(X0),X4) )
& ~ p2(sK8(X0))
& r1(X0,sK8(X0)) )
| sP0(X0) ) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f15,f18,f17,f16]) ).
fof(f20,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) )
| sP2(X16) ) )
| ~ r1(X6,X16) )
| ~ sP4(X6) ),
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,
! [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) ) )
| ~ sP3(X6) ),
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(f38,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) ) )
| ~ sP1(X5) ),
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,
! [X0] :
( ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) )
| ~ sP0(X0) ),
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) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP3(X6)
| sP4(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP1(X5) )
& r1(X0,X5) )
| sP5(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) )
& ! [X15] :
( ? [X16] :
( p2(X16)
& ? [X17] :
( ~ p2(X17)
& r1(X16,X17) )
& r1(X15,X16) )
| p2(X15)
| ~ r1(X0,X15) )
& ? [X18] :
( ~ p2(X18)
& r1(X0,X18) )
& ! [X19] :
( ? [X20] :
( p3(X20)
& ? [X21] :
( ~ p3(X21)
& r1(X20,X21) )
& r1(X19,X20) )
| p3(X19)
| ~ r1(X0,X19) )
& ? [X22] :
( ~ p3(X22)
& r1(X0,X22) ) ),
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) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP3(X6)
| sP4(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP1(X5) )
& r1(X0,X5) )
| sP5(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) )
& ! [X15] :
( ? [X16] :
( p2(X16)
& ? [X17] :
( ~ p2(X17)
& r1(X16,X17) )
& r1(X15,X16) )
| p2(X15)
| ~ r1(X0,X15) )
& ? [X18] :
( ~ p2(X18)
& r1(X0,X18) )
& ! [X19] :
( ? [X20] :
( p3(X20)
& ? [X21] :
( ~ p3(X21)
& r1(X20,X21) )
& r1(X19,X20) )
| p3(X19)
| ~ r1(X0,X19) )
& ? [X22] :
( ~ p3(X22)
& r1(X0,X22) ) )
=> ( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(sK24,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP3(X6)
| sP4(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP1(X5) )
& r1(sK24,X5) )
| sP5(sK24) )
& ! [X11] :
( ? [X12] :
( p1(X12)
& ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& r1(X11,X12) )
| p1(X11)
| ~ r1(sK24,X11) )
& ? [X14] :
( ~ p1(X14)
& r1(sK24,X14) )
& ! [X15] :
( ? [X16] :
( p2(X16)
& ? [X17] :
( ~ p2(X17)
& r1(X16,X17) )
& r1(X15,X16) )
| p2(X15)
| ~ r1(sK24,X15) )
& ? [X18] :
( ~ p2(X18)
& r1(sK24,X18) )
& ! [X19] :
( ? [X20] :
( p3(X20)
& ? [X21] :
( ~ p3(X21)
& r1(X20,X21) )
& r1(X19,X20) )
| p3(X19)
| ~ r1(sK24,X19) )
& ? [X22] :
( ~ p3(X22)
& r1(sK24,X22) ) ) ),
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,
( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP3(X6)
| sP4(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP1(X5) )
& r1(sK24,X5) )
=> ( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP3(X6)
| sP4(X6)
| ~ r1(sK26,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(sK26,X9) )
& ~ p2(sK26) )
| sP1(sK26) )
& r1(sK24,sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X11] :
( ? [X12] :
( p1(X12)
& ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& r1(X11,X12) )
=> ( p1(sK27(X11))
& ? [X13] :
( ~ p1(X13)
& r1(sK27(X11),X13) )
& r1(X11,sK27(X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X11] :
( ? [X13] :
( ~ p1(X13)
& r1(sK27(X11),X13) )
=> ( ~ p1(sK28(X11))
& r1(sK27(X11),sK28(X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ? [X14] :
( ~ p1(X14)
& r1(sK24,X14) )
=> ( ~ p1(sK29)
& r1(sK24,sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X15] :
( ? [X16] :
( p2(X16)
& ? [X17] :
( ~ p2(X17)
& r1(X16,X17) )
& r1(X15,X16) )
=> ( p2(sK30(X15))
& ? [X17] :
( ~ p2(X17)
& r1(sK30(X15),X17) )
& r1(X15,sK30(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X15] :
( ? [X17] :
( ~ p2(X17)
& r1(sK30(X15),X17) )
=> ( ~ p2(sK31(X15))
& r1(sK30(X15),sK31(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
( ? [X18] :
( ~ p2(X18)
& r1(sK24,X18) )
=> ( ~ p2(sK32)
& r1(sK24,sK32) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X19] :
( ? [X20] :
( p3(X20)
& ? [X21] :
( ~ p3(X21)
& r1(X20,X21) )
& r1(X19,X20) )
=> ( p3(sK33(X19))
& ? [X21] :
( ~ p3(X21)
& r1(sK33(X19),X21) )
& r1(X19,sK33(X19)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X19] :
( ? [X21] :
( ~ p3(X21)
& r1(sK33(X19),X21) )
=> ( ~ p3(sK34(X19))
& r1(sK33(X19),sK34(X19)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
( ? [X22] :
( ~ p3(X22)
& r1(sK24,X22) )
=> ( ~ p3(sK35)
& r1(sK24,sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK25(X1),X3) )
& ~ p2(sK25(X1))
& r1(X1,sK25(X1)) )
| p2(X1)
| ~ r1(sK24,X1) )
& ( ( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP3(X6)
| sP4(X6)
| ~ r1(sK26,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(sK26,X9) )
& ~ p2(sK26) )
| sP1(sK26) )
& r1(sK24,sK26) )
| sP5(sK24) )
& ! [X11] :
( ( p1(sK27(X11))
& ~ p1(sK28(X11))
& r1(sK27(X11),sK28(X11))
& r1(X11,sK27(X11)) )
| p1(X11)
| ~ r1(sK24,X11) )
& ~ p1(sK29)
& r1(sK24,sK29)
& ! [X15] :
( ( p2(sK30(X15))
& ~ p2(sK31(X15))
& r1(sK30(X15),sK31(X15))
& r1(X15,sK30(X15)) )
| p2(X15)
| ~ r1(sK24,X15) )
& ~ p2(sK32)
& r1(sK24,sK32)
& ! [X19] :
( ( p3(sK33(X19))
& ~ p3(sK34(X19))
& r1(sK33(X19),sK34(X19))
& r1(X19,sK33(X19)) )
| p3(X19)
| ~ r1(sK24,X19) )
& ~ p3(sK35)
& r1(sK24,sK35) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35])],[f50,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51]) ).
fof(f64,plain,
! [X0] :
( r1(X0,sK8(X0))
| sP0(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f65,plain,
! [X0] :
( ~ p2(sK8(X0))
| sP0(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f66,plain,
! [X0,X4,X5] :
( ~ p2(X4)
| p2(X5)
| ~ r1(X4,X5)
| ~ r1(sK8(X0),X4)
| sP0(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f74,plain,
! [X0,X1] :
( r1(X1,sK9(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f75,plain,
! [X0,X1] :
( r1(sK9(X1),sK10(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f76,plain,
! [X0,X1] :
( ~ p2(sK10(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f77,plain,
! [X0,X1] :
( p2(sK9(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f82,plain,
! [X0,X1] :
( r1(X1,sK12(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f83,plain,
! [X0,X1] :
( r1(sK12(X1),sK13(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f84,plain,
! [X0,X1] :
( ~ p2(sK13(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f85,plain,
! [X0,X1] :
( p2(sK12(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f90,plain,
! [X0] :
( r1(X0,sK20(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f91,plain,
! [X0] :
( r1(sK20(X0),sK21(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f92,plain,
! [X0] :
( ~ p2(sK21(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f93,plain,
! [X0,X6,X7] :
( ~ p2(X6)
| p2(X7)
| ~ r1(X6,X7)
| ~ r1(sK21(X0),X6)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f94,plain,
! [X0,X1] :
( r1(X1,sK18(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f95,plain,
! [X0,X1] :
( r1(sK18(X1),sK19(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f96,plain,
! [X0,X1] :
( ~ p2(sK19(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f97,plain,
! [X0,X1] :
( p2(sK18(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f98,plain,
! [X2,X0,X1] :
( r1(X2,sK22(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f99,plain,
! [X2,X0,X1] :
( r1(sK22(X2),sK23(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ p2(sK23(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f101,plain,
! [X2,X0,X1] :
( p2(sK22(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f108,plain,
r1(sK24,sK32),
inference(cnf_transformation,[],[f63]) ).
fof(f109,plain,
~ p2(sK32),
inference(cnf_transformation,[],[f63]) ).
fof(f110,plain,
! [X15] :
( r1(X15,sK30(X15))
| p2(X15)
| ~ r1(sK24,X15) ),
inference(cnf_transformation,[],[f63]) ).
fof(f111,plain,
! [X15] :
( r1(sK30(X15),sK31(X15))
| p2(X15)
| ~ r1(sK24,X15) ),
inference(cnf_transformation,[],[f63]) ).
fof(f112,plain,
! [X15] :
( ~ p2(sK31(X15))
| p2(X15)
| ~ r1(sK24,X15) ),
inference(cnf_transformation,[],[f63]) ).
fof(f113,plain,
! [X15] :
( p2(sK30(X15))
| p2(X15)
| ~ r1(sK24,X15) ),
inference(cnf_transformation,[],[f63]) ).
fof(f120,plain,
( r1(sK24,sK26)
| sP5(sK24) ),
inference(cnf_transformation,[],[f63]) ).
fof(f121,plain,
( ~ p2(sK26)
| sP1(sK26)
| sP5(sK24) ),
inference(cnf_transformation,[],[f63]) ).
fof(f122,plain,
! [X10,X9] :
( ~ p2(X9)
| p2(X10)
| ~ r1(X9,X10)
| ~ r1(sK26,X9)
| sP1(sK26)
| sP5(sK24) ),
inference(cnf_transformation,[],[f63]) ).
fof(f123,plain,
! [X6] :
( ~ p2(X6)
| sP3(X6)
| sP4(X6)
| ~ r1(sK26,X6)
| sP5(sK24) ),
inference(cnf_transformation,[],[f63]) ).
fof(f124,plain,
! [X8,X6,X7] :
( ~ p2(X7)
| p2(X8)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| sP3(X6)
| sP4(X6)
| ~ r1(sK26,X6)
| sP5(sK24) ),
inference(cnf_transformation,[],[f63]) ).
fof(f125,plain,
! [X1] :
( r1(X1,sK25(X1))
| p2(X1)
| ~ r1(sK24,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f126,plain,
! [X1] :
( ~ p2(sK25(X1))
| p2(X1)
| ~ r1(sK24,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f127,plain,
! [X3,X1,X4] :
( ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK25(X1),X3)
| p2(X1)
| ~ r1(sK24,X1) ),
inference(cnf_transformation,[],[f63]) ).
cnf(c_53,plain,
( ~ r1(sK8(X0),X1)
| ~ r1(X1,X2)
| ~ p2(X1)
| ~ sP5(X0)
| p2(X2)
| sP0(X0) ),
inference(cnf_transformation,[],[f66]) ).
cnf(c_54,plain,
( ~ p2(sK8(X0))
| ~ sP5(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_55,plain,
( ~ sP5(X0)
| r1(X0,sK8(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_56,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| p2(sK9(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f77]) ).
cnf(c_57,plain,
( ~ r1(X0,X1)
| ~ p2(sK10(X1))
| ~ sP4(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_58,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| r1(sK9(X1),sK10(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f75]) ).
cnf(c_59,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| r1(X1,sK9(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f74]) ).
cnf(c_63,plain,
( ~ r1(X0,X1)
| ~ sP3(X0)
| p2(sK12(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_64,plain,
( ~ r1(X0,X1)
| ~ p2(sK13(X1))
| ~ sP3(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_65,plain,
( ~ r1(X0,X1)
| ~ sP3(X0)
| r1(sK12(X1),sK13(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_66,plain,
( ~ r1(X0,X1)
| ~ sP3(X0)
| r1(X1,sK12(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_75,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| p2(sK18(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f97]) ).
cnf(c_76,plain,
( ~ r1(X0,X1)
| ~ p2(sK19(X1))
| ~ sP1(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_77,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| r1(sK18(X1),sK19(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f95]) ).
cnf(c_78,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| r1(X1,sK18(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_79,plain,
( ~ r1(sK21(X0),X1)
| ~ r1(X1,X2)
| ~ p2(X1)
| ~ sP1(X0)
| p2(X2) ),
inference(cnf_transformation,[],[f93]) ).
cnf(c_80,plain,
( ~ p2(sK21(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f92]) ).
cnf(c_81,plain,
( ~ sP1(X0)
| r1(sK20(X0),sK21(X0)) ),
inference(cnf_transformation,[],[f91]) ).
cnf(c_82,plain,
( ~ sP1(X0)
| r1(X0,sK20(X0)) ),
inference(cnf_transformation,[],[f90]) ).
cnf(c_83,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP0(X0)
| p2(sK22(X2))
| p2(X2) ),
inference(cnf_transformation,[],[f101]) ).
cnf(c_84,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ p2(sK23(X2))
| ~ sP0(X0)
| p2(X2) ),
inference(cnf_transformation,[],[f100]) ).
cnf(c_85,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP0(X0)
| r1(sK22(X2),sK23(X2))
| p2(X2) ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_86,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP0(X0)
| r1(X2,sK22(X2))
| p2(X2) ),
inference(cnf_transformation,[],[f98]) ).
cnf(c_87,negated_conjecture,
( ~ r1(sK25(X0),X1)
| ~ r1(X1,X2)
| ~ r1(sK24,X0)
| ~ p2(X1)
| p2(X0)
| p2(X2) ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_88,negated_conjecture,
( ~ p2(sK25(X0))
| ~ r1(sK24,X0)
| p2(X0) ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_89,negated_conjecture,
( ~ r1(sK24,X0)
| r1(X0,sK25(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f125]) ).
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,[],[f124]) ).
cnf(c_91,negated_conjecture,
( ~ r1(sK26,X0)
| ~ p2(X0)
| sP4(X0)
| sP3(X0)
| sP5(sK24) ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_92,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK26,X0)
| ~ p2(X0)
| p2(X1)
| sP5(sK24)
| sP1(sK26) ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_93,negated_conjecture,
( ~ p2(sK26)
| sP5(sK24)
| sP1(sK26) ),
inference(cnf_transformation,[],[f121]) ).
cnf(c_94,negated_conjecture,
( r1(sK24,sK26)
| sP5(sK24) ),
inference(cnf_transformation,[],[f120]) ).
cnf(c_101,negated_conjecture,
( ~ r1(sK24,X0)
| p2(sK30(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_102,negated_conjecture,
( ~ p2(sK31(X0))
| ~ r1(sK24,X0)
| p2(X0) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_103,negated_conjecture,
( ~ r1(sK24,X0)
| r1(sK30(X0),sK31(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_104,negated_conjecture,
( ~ r1(sK24,X0)
| r1(X0,sK30(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f110]) ).
cnf(c_105,negated_conjecture,
~ p2(sK32),
inference(cnf_transformation,[],[f109]) ).
cnf(c_106,negated_conjecture,
r1(sK24,sK32),
inference(cnf_transformation,[],[f108]) ).
cnf(c_123,plain,
( ~ sP5(sK24)
| r1(sK24,sK8(sK24))
| sP0(sK24) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_124,plain,
( ~ p2(sK8(sK24))
| ~ sP5(sK24)
| sP0(sK24) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_7167,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK26,X0)
| ~ p2(X0)
| p2(X1)
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_92]) ).
cnf(c_7168,negated_conjecture,
( sP5(sK24)
| sP1(sK26)
| sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_92]) ).
cnf(c_7190,plain,
( ~ r1(sK24,sK8(X0))
| r1(sK30(sK8(X0)),sK31(sK8(X0)))
| p2(sK8(X0)) ),
inference(instantiation,[status(thm)],[c_103]) ).
cnf(c_7191,plain,
( ~ r1(sK24,sK8(sK24))
| r1(sK30(sK8(sK24)),sK31(sK8(sK24)))
| p2(sK8(sK24)) ),
inference(instantiation,[status(thm)],[c_7190]) ).
cnf(c_7192,plain,
( ~ r1(sK24,sK8(X0))
| r1(sK8(X0),sK30(sK8(X0)))
| p2(sK8(X0)) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_7193,plain,
( ~ r1(sK24,sK8(sK24))
| r1(sK8(sK24),sK30(sK8(sK24)))
| p2(sK8(sK24)) ),
inference(instantiation,[status(thm)],[c_7192]) ).
cnf(c_7210,plain,
( ~ r1(sK24,sK32)
| r1(sK32,sK25(sK32))
| p2(sK32) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_7211,plain,
( ~ p2(sK25(sK32))
| ~ r1(sK24,sK32)
| p2(sK32) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_7275,plain,
( ~ r1(sK8(X0),sK30(sK8(X1)))
| ~ r1(sK30(sK8(X1)),X2)
| ~ p2(sK30(sK8(X1)))
| ~ sP5(X0)
| p2(X2)
| sP0(X0) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_7324,plain,
( ~ r1(sK24,sK26)
| r1(sK26,sK30(sK26))
| p2(sK26) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_7334,plain,
( ~ r1(sK30(sK8(X0)),sK31(sK8(X0)))
| ~ r1(sK8(X1),sK30(sK8(X0)))
| ~ p2(sK30(sK8(X0)))
| ~ sP5(X1)
| p2(sK31(sK8(X0)))
| sP0(X1) ),
inference(instantiation,[status(thm)],[c_7275]) ).
cnf(c_7335,plain,
( ~ r1(sK30(sK8(sK24)),sK31(sK8(sK24)))
| ~ r1(sK8(sK24),sK30(sK8(sK24)))
| ~ p2(sK30(sK8(sK24)))
| ~ sP5(sK24)
| p2(sK31(sK8(sK24)))
| sP0(sK24) ),
inference(instantiation,[status(thm)],[c_7334]) ).
cnf(c_7464,plain,
( p2(sK30(sK26))
| p2(sK26)
| sP5(sK24) ),
inference(superposition,[status(thm)],[c_94,c_101]) ).
cnf(c_7488,plain,
( ~ r1(sK32,sK25(sK32))
| ~ r1(X0,sK32)
| ~ sP0(X0)
| p2(sK22(sK25(sK32)))
| p2(sK25(sK32)) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_7489,plain,
( ~ r1(sK32,sK25(sK32))
| ~ r1(sK24,sK32)
| ~ sP0(sK24)
| p2(sK22(sK25(sK32)))
| p2(sK25(sK32)) ),
inference(instantiation,[status(thm)],[c_7488]) ).
cnf(c_7514,plain,
( ~ r1(sK32,sK25(sK32))
| ~ r1(X0,sK32)
| ~ sP0(X0)
| r1(sK22(sK25(sK32)),sK23(sK25(sK32)))
| p2(sK25(sK32)) ),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_7515,plain,
( ~ r1(sK32,sK25(sK32))
| ~ r1(sK24,sK32)
| ~ sP0(sK24)
| r1(sK22(sK25(sK32)),sK23(sK25(sK32)))
| p2(sK25(sK32)) ),
inference(instantiation,[status(thm)],[c_7514]) ).
cnf(c_7546,plain,
( ~ r1(sK32,sK25(sK32))
| ~ r1(X0,sK32)
| ~ sP0(X0)
| r1(sK25(sK32),sK22(sK25(sK32)))
| p2(sK25(sK32)) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_7547,plain,
( ~ r1(sK32,sK25(sK32))
| ~ r1(sK24,sK32)
| ~ sP0(sK24)
| r1(sK25(sK32),sK22(sK25(sK32)))
| p2(sK25(sK32)) ),
inference(instantiation,[status(thm)],[c_7546]) ).
cnf(c_7651,plain,
( ~ r1(sK25(X0),sK22(X1))
| ~ r1(sK22(X1),X2)
| ~ p2(sK22(X1))
| ~ r1(sK24,X0)
| p2(X0)
| p2(X2) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_7657,plain,
( ~ r1(sK30(X0),X1)
| ~ r1(sK26,sK30(X0))
| ~ p2(sK30(X0))
| ~ sP0_iProver_split
| p2(X1) ),
inference(instantiation,[status(thm)],[c_7167]) ).
cnf(c_7666,plain,
( ~ r1(sK25(X0),sK22(sK25(X0)))
| ~ r1(sK22(sK25(X0)),X1)
| ~ p2(sK22(sK25(X0)))
| ~ r1(sK24,X0)
| p2(X0)
| p2(X1) ),
inference(instantiation,[status(thm)],[c_7651]) ).
cnf(c_7673,plain,
( ~ r1(sK30(sK26),X0)
| ~ r1(sK26,sK30(sK26))
| ~ p2(sK30(sK26))
| ~ sP0_iProver_split
| p2(X0) ),
inference(instantiation,[status(thm)],[c_7657]) ).
cnf(c_7697,plain,
( ~ r1(sK22(sK25(X0)),sK23(sK25(X0)))
| ~ r1(sK25(X0),sK22(sK25(X0)))
| ~ p2(sK22(sK25(X0)))
| ~ r1(sK24,X0)
| p2(sK23(sK25(X0)))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_7666]) ).
cnf(c_7737,plain,
( ~ r1(X0,sK25(X1))
| ~ p2(sK23(sK25(X1)))
| ~ r1(X2,X0)
| ~ sP0(X2)
| p2(sK25(X1)) ),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_7768,plain,
( ~ p2(sK23(sK25(X0)))
| ~ r1(sK32,sK25(X0))
| ~ r1(sK24,sK32)
| ~ sP0(sK24)
| p2(sK25(X0)) ),
inference(instantiation,[status(thm)],[c_7737]) ).
cnf(c_7806,plain,
( ~ p2(sK23(sK25(sK32)))
| ~ r1(sK32,sK25(sK32))
| ~ r1(sK24,sK32)
| ~ sP0(sK24)
| p2(sK25(sK32)) ),
inference(instantiation,[status(thm)],[c_7768]) ).
cnf(c_7825,plain,
( ~ r1(sK22(sK25(sK32)),sK23(sK25(sK32)))
| ~ r1(sK25(sK32),sK22(sK25(sK32)))
| ~ p2(sK22(sK25(sK32)))
| ~ r1(sK24,sK32)
| p2(sK23(sK25(sK32)))
| p2(sK32) ),
inference(instantiation,[status(thm)],[c_7697]) ).
cnf(c_7846,plain,
( ~ r1(sK30(sK26),sK31(sK26))
| ~ r1(sK26,sK30(sK26))
| ~ p2(sK30(sK26))
| ~ sP0_iProver_split
| p2(sK31(sK26)) ),
inference(instantiation,[status(thm)],[c_7673]) ).
cnf(c_7865,plain,
( ~ r1(sK24,sK26)
| r1(sK30(sK26),sK31(sK26))
| p2(sK26) ),
inference(instantiation,[status(thm)],[c_103]) ).
cnf(c_7891,plain,
( ~ p2(sK31(sK26))
| ~ r1(sK24,sK26)
| p2(sK26) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_7928,plain,
( ~ sP1(sK26)
| r1(sK26,sK20(sK26)) ),
inference(instantiation,[status(thm)],[c_82]) ).
cnf(c_7929,plain,
( ~ sP1(sK26)
| r1(sK20(sK26),sK21(sK26)) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_7930,plain,
( ~ p2(sK21(sK26))
| ~ sP1(sK26) ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_7931,plain,
( ~ r1(sK21(sK26),X0)
| ~ r1(X0,X1)
| ~ p2(X0)
| ~ sP1(sK26)
| p2(X1) ),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_7932,plain,
( ~ r1(sK26,X0)
| ~ sP1(sK26)
| r1(X0,sK18(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_7933,plain,
( ~ r1(sK26,X0)
| ~ sP1(sK26)
| r1(sK18(X0),sK19(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_7934,plain,
( ~ p2(sK19(X0))
| ~ r1(sK26,X0)
| ~ sP1(sK26)
| p2(X0) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_7935,plain,
( ~ r1(sK26,X0)
| ~ sP1(sK26)
| p2(sK18(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_8016,plain,
( ~ r1(sK26,sK20(sK26))
| ~ sP1(sK26)
| p2(sK18(sK20(sK26)))
| p2(sK20(sK26)) ),
inference(instantiation,[status(thm)],[c_7935]) ).
cnf(c_8017,plain,
( ~ r1(sK26,sK20(sK26))
| ~ sP1(sK26)
| r1(sK18(sK20(sK26)),sK19(sK20(sK26)))
| p2(sK20(sK26)) ),
inference(instantiation,[status(thm)],[c_7933]) ).
cnf(c_8018,plain,
( ~ r1(sK26,sK20(sK26))
| ~ sP1(sK26)
| r1(sK20(sK26),sK18(sK20(sK26)))
| p2(sK20(sK26)) ),
inference(instantiation,[status(thm)],[c_7932]) ).
cnf(c_8020,plain,
( ~ r1(sK20(sK26),X0)
| ~ r1(sK26,sK20(sK26))
| ~ r1(X0,X1)
| ~ p2(X0)
| sP4(sK20(sK26))
| sP3(sK20(sK26))
| p2(X1)
| sP5(sK24) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_8166,plain,
( ~ r1(sK20(sK26),X0)
| ~ sP4(sK20(sK26))
| r1(X0,sK9(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_8167,plain,
( ~ r1(sK20(sK26),X0)
| ~ sP4(sK20(sK26))
| r1(sK9(X0),sK10(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_8168,plain,
( ~ r1(sK20(sK26),X0)
| ~ p2(sK10(X0))
| ~ sP4(sK20(sK26))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_8169,plain,
( ~ r1(sK20(sK26),X0)
| ~ sP4(sK20(sK26))
| p2(sK9(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_8178,plain,
( ~ p2(sK31(sK8(sK24)))
| ~ sP5(sK24)
| p2(sK8(sK24))
| sP0(sK24) ),
inference(superposition,[status(thm)],[c_55,c_102]) ).
cnf(c_8181,plain,
( ~ sP5(sK24)
| p2(sK30(sK8(sK24)))
| p2(sK8(sK24))
| sP0(sK24) ),
inference(superposition,[status(thm)],[c_55,c_101]) ).
cnf(c_8214,plain,
( ~ r1(sK20(sK26),sK21(sK26))
| ~ sP4(sK20(sK26))
| r1(sK21(sK26),sK9(sK21(sK26)))
| p2(sK21(sK26)) ),
inference(instantiation,[status(thm)],[c_8166]) ).
cnf(c_8220,plain,
( ~ r1(sK20(sK26),X0)
| ~ sP3(sK20(sK26))
| r1(X0,sK12(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_8221,plain,
( ~ r1(sK20(sK26),X0)
| ~ sP3(sK20(sK26))
| r1(sK12(X0),sK13(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_8222,plain,
( ~ r1(sK20(sK26),X0)
| ~ p2(sK13(X0))
| ~ sP3(sK20(sK26))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_8223,plain,
( ~ r1(sK20(sK26),X0)
| ~ sP3(sK20(sK26))
| p2(sK12(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_8231,plain,
( ~ p2(sK20(sK26))
| ~ sP1(sK26)
| sP4(sK20(sK26))
| sP3(sK20(sK26))
| sP5(sK24) ),
inference(superposition,[status(thm)],[c_82,c_91]) ).
cnf(c_8262,plain,
( sP1(sK26)
| sP5(sK24) ),
inference(global_subsumption_just,[status(thm)],[c_7168,c_106,c_105,c_94,c_93,c_123,c_124,c_7168,c_7191,c_7193,c_7211,c_7210,c_7324,c_7335,c_7464,c_7489,c_7515,c_7547,c_7806,c_7825,c_7846,c_7865,c_7891,c_8181,c_8178]) ).
cnf(c_8263,negated_conjecture,
( sP5(sK24)
| sP1(sK26) ),
inference(renaming,[status(thm)],[c_8262]) ).
cnf(c_8293,plain,
( ~ r1(sK20(sK26),sK21(sK26))
| ~ sP4(sK20(sK26))
| r1(sK9(sK21(sK26)),sK10(sK21(sK26)))
| p2(sK21(sK26)) ),
inference(instantiation,[status(thm)],[c_8167]) ).
cnf(c_8299,plain,
( ~ r1(sK20(sK26),sK21(sK26))
| ~ sP4(sK20(sK26))
| p2(sK9(sK21(sK26)))
| p2(sK21(sK26)) ),
inference(instantiation,[status(thm)],[c_8169]) ).
cnf(c_8459,plain,
( ~ r1(sK20(sK26),sK21(sK26))
| ~ sP3(sK20(sK26))
| r1(sK21(sK26),sK12(sK21(sK26)))
| p2(sK21(sK26)) ),
inference(instantiation,[status(thm)],[c_8220]) ).
cnf(c_8518,plain,
( ~ r1(X0,sK19(X1))
| ~ r1(sK20(sK26),X0)
| ~ r1(sK26,sK20(sK26))
| ~ p2(X0)
| p2(sK19(X1))
| sP4(sK20(sK26))
| sP3(sK20(sK26))
| sP5(sK24) ),
inference(instantiation,[status(thm)],[c_8020]) ).
cnf(c_8657,plain,
( ~ p2(sK20(sK26))
| ~ sP1(sK26)
| sP4(sK20(sK26))
| sP3(sK20(sK26))
| sP5(sK24) ),
inference(resolution,[status(thm)],[c_91,c_82]) ).
cnf(c_8851,plain,
( ~ r1(sK18(sK20(sK26)),sK19(sK20(sK26)))
| ~ r1(sK20(sK26),sK18(sK20(sK26)))
| ~ p2(sK18(sK20(sK26)))
| ~ r1(sK26,sK20(sK26))
| p2(sK19(sK20(sK26)))
| sP4(sK20(sK26))
| sP3(sK20(sK26))
| sP5(sK24) ),
inference(instantiation,[status(thm)],[c_8518]) ).
cnf(c_8901,plain,
( ~ r1(sK21(sK26),sK12(sK21(sK26)))
| ~ r1(sK12(sK21(sK26)),X0)
| ~ p2(sK12(sK21(sK26)))
| ~ sP1(sK26)
| p2(X0) ),
inference(instantiation,[status(thm)],[c_7931]) ).
cnf(c_9044,plain,
( ~ r1(sK20(sK26),sK21(sK26))
| ~ sP3(sK20(sK26))
| p2(sK12(sK21(sK26)))
| p2(sK21(sK26)) ),
inference(instantiation,[status(thm)],[c_8223]) ).
cnf(c_9119,plain,
( ~ p2(sK20(sK26))
| sP4(sK20(sK26))
| sP3(sK20(sK26))
| sP5(sK24) ),
inference(global_subsumption_just,[status(thm)],[c_8657,c_106,c_105,c_123,c_124,c_7191,c_7193,c_7211,c_7210,c_7335,c_7489,c_7515,c_7547,c_7806,c_7825,c_8181,c_8178,c_8231,c_8263]) ).
cnf(c_9172,plain,
( ~ sP5(sK24)
| p2(sK30(sK8(sK24)))
| p2(sK8(sK24))
| sP0(sK24) ),
inference(resolution,[status(thm)],[c_55,c_101]) ).
cnf(c_9185,plain,
( ~ r1(sK12(sK21(sK26)),sK13(sK21(sK26)))
| ~ r1(sK21(sK26),sK12(sK21(sK26)))
| ~ p2(sK12(sK21(sK26)))
| ~ sP1(sK26)
| p2(sK13(sK21(sK26))) ),
inference(instantiation,[status(thm)],[c_8901]) ).
cnf(c_9258,plain,
( ~ r1(sK20(sK26),sK21(sK26))
| ~ sP3(sK20(sK26))
| r1(sK12(sK21(sK26)),sK13(sK21(sK26)))
| p2(sK21(sK26)) ),
inference(instantiation,[status(thm)],[c_8221]) ).
cnf(c_9310,plain,
( ~ sP5(sK24)
| sP0(sK24) ),
inference(global_subsumption_just,[status(thm)],[c_9172,c_106,c_105,c_123,c_124,c_7191,c_7193,c_7211,c_7210,c_7335,c_7489,c_7515,c_7547,c_7806,c_7825,c_8181,c_8178]) ).
cnf(c_9312,plain,
~ sP5(sK24),
inference(global_subsumption_just,[status(thm)],[c_9310,c_106,c_105,c_7211,c_7210,c_7489,c_7515,c_7547,c_7806,c_7825,c_9310]) ).
cnf(c_9796,plain,
( ~ r1(sK21(sK26),sK9(sK21(sK26)))
| ~ r1(sK9(sK21(sK26)),X0)
| ~ p2(sK9(sK21(sK26)))
| ~ sP1(sK26)
| p2(X0) ),
inference(instantiation,[status(thm)],[c_7931]) ).
cnf(c_9980,plain,
( ~ p2(sK19(sK20(sK26)))
| ~ r1(sK26,sK20(sK26))
| ~ sP1(sK26)
| p2(sK20(sK26)) ),
inference(instantiation,[status(thm)],[c_7934]) ).
cnf(c_10337,plain,
( ~ r1(sK9(sK21(sK26)),sK10(sK21(sK26)))
| ~ r1(sK21(sK26),sK9(sK21(sK26)))
| ~ p2(sK9(sK21(sK26)))
| ~ sP1(sK26)
| p2(sK10(sK21(sK26))) ),
inference(instantiation,[status(thm)],[c_9796]) ).
cnf(c_10691,plain,
( ~ r1(sK20(sK26),sK21(sK26))
| ~ p2(sK10(sK21(sK26)))
| ~ sP4(sK20(sK26))
| p2(sK21(sK26)) ),
inference(instantiation,[status(thm)],[c_8168]) ).
cnf(c_10824,plain,
( ~ r1(sK20(sK26),sK21(sK26))
| ~ p2(sK13(sK21(sK26)))
| ~ sP3(sK20(sK26))
| p2(sK21(sK26)) ),
inference(instantiation,[status(thm)],[c_8222]) ).
cnf(c_10826,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10824,c_10691,c_10337,c_9980,c_9312,c_9258,c_9185,c_9119,c_9044,c_8851,c_8459,c_8299,c_8293,c_8263,c_8214,c_8016,c_8017,c_8018,c_7928,c_7929,c_7930]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL642+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 18:01:43 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.67/1.15 % SZS status Started for theBenchmark.p
% 3.67/1.15 % SZS status Theorem for theBenchmark.p
% 3.67/1.15
% 3.67/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.67/1.15
% 3.67/1.15 ------ iProver source info
% 3.67/1.15
% 3.67/1.15 git: date: 2023-05-31 18:12:56 +0000
% 3.67/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.67/1.15 git: non_committed_changes: false
% 3.67/1.15 git: last_make_outside_of_git: false
% 3.67/1.15
% 3.67/1.15 ------ Parsing...
% 3.67/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.67/1.15
% 3.67/1.15 ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 3.67/1.15
% 3.67/1.15 ------ Preprocessing... gs_s sp: 1 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.67/1.15 ------ Proving...
% 3.67/1.15 ------ Problem Properties
% 3.67/1.15
% 3.67/1.15
% 3.67/1.15 clauses 63
% 3.67/1.15 conjectures 25
% 3.67/1.15 EPR 12
% 3.67/1.15 Horn 27
% 3.67/1.15 unary 6
% 3.67/1.15 binary 7
% 3.67/1.15 lits 223
% 3.67/1.15 lits eq 0
% 3.67/1.15 fd_pure 0
% 3.67/1.15 fd_pseudo 0
% 3.67/1.15 fd_cond 0
% 3.67/1.15 fd_pseudo_cond 0
% 3.67/1.15 AC symbols 0
% 3.67/1.15
% 3.67/1.15 ------ Input Options Time Limit: Unbounded
% 3.67/1.15
% 3.67/1.15
% 3.67/1.15 ------
% 3.67/1.15 Current options:
% 3.67/1.15 ------
% 3.67/1.15
% 3.67/1.15
% 3.67/1.15
% 3.67/1.15
% 3.67/1.15 ------ Proving...
% 3.67/1.15
% 3.67/1.15
% 3.67/1.15 % SZS status Theorem for theBenchmark.p
% 3.67/1.15
% 3.67/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.67/1.15
% 3.67/1.15
%------------------------------------------------------------------------------