%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL658+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:07:42 PM UTC 2026
% Result : Theorem 73.17s 12.88s
% Output : CNFRefutation 73.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 271 ( 31 unt; 4 def)
% Number of atoms : 2069 ( 0 equ)
% Maximal formula atoms : 88 ( 7 avg)
% Number of connectives : 3169 (1399 ~;1545 |; 225 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 6 con; 0-1 aty)
% Number of variables : 907 ( 0 sgn 806 !; 101 ?; 304 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ ( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) )
| ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ p1(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X51] :
( ~ ! [X54] :
( p1(X54)
| ~ r1(X51,X54) )
| ! [X52] :
( ! [X53] :
( p1(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X0,X51) )
& ! [X46] :
( ! [X47] :
( ~ ! [X50] :
( p1(X50)
| ~ r1(X47,X50) )
| ! [X48] :
( ! [X49] :
( p1(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X0,X46) )
& ~ ! [X37] :
( ! [X38] :
( ! [X39] :
( ~ ! [X43] :
( ~ ! [X44] :
( ~ p1(X44)
| ! [X45] :
( p1(X45)
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| p1(X43)
| ~ r1(X39,X43) )
| ! [X41] :
( ~ ! [X42] :
( p1(X42)
| ~ r1(X41,X42) )
| ~ r1(X39,X41) )
| ! [X40] :
( p1(X40)
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X0,X37) ) )
| ~ ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ~ ! [X34] :
( ~ ! [X35] :
( ~ p1(X35)
| ! [X36] :
( p1(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| p1(X34)
| ~ r1(X10,X34) )
| ! [X30] :
( ! [X31] :
( ~ ! [X32] :
( ~ p1(X32)
| ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X10,X30) ) )
& ! [X26] :
( ~ ! [X29] :
( p1(X29)
| ~ r1(X26,X29) )
| ! [X27] :
( ! [X28] :
( p1(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X10,X26) )
& ( ~ ! [X23] :
( ~ ! [X24] :
( ~ p1(X24)
| ! [X25] :
( p1(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| p1(X23)
| ~ r1(X10,X23) )
| ! [X21] :
( ~ ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X10,X21) )
| p1(X10) )
& ( ~ ! [X15] :
( ~ ! [X17] :
( ~ ( ~ p1(X17)
| ! [X20] :
( p1(X20)
| ~ r1(X17,X20) ) )
| ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X15,X17) )
| ~ p1(X15)
| ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X10,X15) )
| ! [X12] :
( ~ ! [X13] :
( ~ p1(X13)
| ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X10,X12) )
| ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) ) ) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X0,X8) )
| ~ ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ ! [X7] :
( p1(X7)
| ~ r1(X4,X7) )
| ! [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( ! [X51] :
( ~ ! [X54] :
( p1(X54)
| ~ r1(X51,X54) )
| ! [X52] :
( ! [X53] :
( p1(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X0,X51) )
& ! [X46] :
( ! [X47] :
( ~ ! [X50] :
( p1(X50)
| ~ r1(X47,X50) )
| ! [X48] :
( ! [X49] :
( p1(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X0,X46) )
& ~ ! [X37] :
( ! [X38] :
( ! [X39] :
( ~ ! [X43] :
( ~ ! [X44] :
( ~ p1(X44)
| ! [X45] :
( p1(X45)
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
| p1(X43)
| ~ r1(X39,X43) )
| ! [X41] :
( ~ ! [X42] :
( p1(X42)
| ~ r1(X41,X42) )
| ~ r1(X39,X41) )
| ! [X40] :
( p1(X40)
| ~ r1(X39,X40) )
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X0,X37) ) )
| ~ ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ~ ! [X34] :
( ~ ! [X35] :
( ~ p1(X35)
| ! [X36] :
( p1(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| p1(X34)
| ~ r1(X10,X34) )
| ! [X30] :
( ! [X31] :
( ~ ! [X32] :
( ~ p1(X32)
| ! [X33] :
( p1(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X10,X30) ) )
& ! [X26] :
( ~ ! [X29] :
( p1(X29)
| ~ r1(X26,X29) )
| ! [X27] :
( ! [X28] :
( p1(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X10,X26) )
& ( ~ ! [X23] :
( ~ ! [X24] :
( ~ p1(X24)
| ! [X25] :
( p1(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| p1(X23)
| ~ r1(X10,X23) )
| ! [X21] :
( ~ ! [X22] :
( p1(X22)
| ~ r1(X21,X22) )
| ~ r1(X10,X21) )
| p1(X10) )
& ( ~ ! [X15] :
( ~ ! [X17] :
( ~ ( ~ p1(X17)
| ! [X20] :
( p1(X20)
| ~ r1(X17,X20) ) )
| ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X15,X17) )
| ~ p1(X15)
| ! [X16] :
( p1(X16)
| ~ r1(X15,X16) )
| ~ r1(X10,X15) )
| ! [X12] :
( ~ ! [X13] :
( ~ p1(X13)
| ! [X14] :
( p1(X14)
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X10,X12) )
| ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) ) ) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X0,X8) )
| ~ ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ~ ! [X7] :
( p1(X7)
| ~ r1(X4,X7) )
| ! [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ! [X51] :
( ? [X54] :
( ~ p1(X54)
& r1(X51,X54) )
| ! [X52] :
( ! [X53] :
( p1(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X0,X51) )
& ! [X46] :
( ! [X47] :
( ? [X50] :
( ~ p1(X50)
& r1(X47,X50) )
| ! [X48] :
( ! [X49] :
( p1(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X0,X46) )
& ? [X37] :
( ? [X38] :
( ? [X39] :
( ! [X43] :
( ? [X44] :
( p1(X44)
& ? [X45] :
( ~ p1(X45)
& r1(X44,X45) )
& r1(X43,X44) )
| p1(X43)
| ~ r1(X39,X43) )
& ? [X41] :
( ! [X42] :
( p1(X42)
| ~ r1(X41,X42) )
& r1(X39,X41) )
& ? [X40] :
( ~ p1(X40)
& r1(X39,X40) )
& r1(X38,X39) )
& r1(X37,X38) )
& r1(X0,X37) )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ? [X34] :
( ! [X35] :
( ~ p1(X35)
| ! [X36] :
( p1(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p1(X34)
& r1(X10,X34) )
| ! [X30] :
( ! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X10,X30) ) )
& ! [X26] :
( ? [X29] :
( ~ p1(X29)
& r1(X26,X29) )
| ! [X27] :
( ! [X28] :
( p1(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X10,X26) )
& ( ? [X23] :
( ! [X24] :
( ~ p1(X24)
| ! [X25] :
( p1(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
& ~ p1(X23)
& r1(X10,X23) )
| ! [X21] :
( ? [X22] :
( ~ p1(X22)
& r1(X21,X22) )
| ~ r1(X10,X21) )
| p1(X10) )
& ( ? [X15] :
( ! [X17] :
( ( p1(X17)
& ? [X20] :
( ~ p1(X20)
& r1(X17,X20) ) )
| ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X15,X17) )
& p1(X15)
& ? [X16] :
( ~ p1(X16)
& r1(X15,X16) )
& r1(X10,X15) )
| ! [X12] :
( ? [X13] :
( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
& r1(X12,X13) )
| ~ r1(X10,X12) )
| ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) ) ) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X0,X8) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ? [X7] :
( ~ p1(X7)
& r1(X4,X7) )
| ! [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ! [X51] :
( ? [X54] :
( ~ p1(X54)
& r1(X51,X54) )
| ! [X52] :
( ! [X53] :
( p1(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X0,X51) )
& ! [X46] :
( ! [X47] :
( ? [X50] :
( ~ p1(X50)
& r1(X47,X50) )
| ! [X48] :
( ! [X49] :
( p1(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X0,X46) )
& ? [X37] :
( ? [X38] :
( ? [X39] :
( ! [X43] :
( ? [X44] :
( p1(X44)
& ? [X45] :
( ~ p1(X45)
& r1(X44,X45) )
& r1(X43,X44) )
| p1(X43)
| ~ r1(X39,X43) )
& ? [X41] :
( ! [X42] :
( p1(X42)
| ~ r1(X41,X42) )
& r1(X39,X41) )
& ? [X40] :
( ~ p1(X40)
& r1(X39,X40) )
& r1(X38,X39) )
& r1(X37,X38) )
& r1(X0,X37) )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ? [X34] :
( ! [X35] :
( ~ p1(X35)
| ! [X36] :
( p1(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p1(X34)
& r1(X10,X34) )
| ! [X30] :
( ! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X10,X30) ) )
& ! [X26] :
( ? [X29] :
( ~ p1(X29)
& r1(X26,X29) )
| ! [X27] :
( ! [X28] :
( p1(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X10,X26) )
& ( ? [X23] :
( ! [X24] :
( ~ p1(X24)
| ! [X25] :
( p1(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
& ~ p1(X23)
& r1(X10,X23) )
| ! [X21] :
( ? [X22] :
( ~ p1(X22)
& r1(X21,X22) )
| ~ r1(X10,X21) )
| p1(X10) )
& ( ? [X15] :
( ! [X17] :
( ( p1(X17)
& ? [X20] :
( ~ p1(X20)
& r1(X17,X20) ) )
| ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X15,X17) )
& p1(X15)
& ? [X16] :
( ~ p1(X16)
& r1(X15,X16) )
& r1(X10,X15) )
| ! [X12] :
( ? [X13] :
( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
& r1(X12,X13) )
| ~ r1(X10,X12) )
| ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) ) ) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X0,X8) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ? [X7] :
( ~ p1(X7)
& r1(X4,X7) )
| ! [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(flattening,[],[f6]) ).
fof(f13,plain,
! [X10] :
( ~ sP3(X10)
| sP1(X10)
| ! [X12] :
( ? [X13] :
( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
& r1(X12,X13) )
| ~ r1(X10,X12) )
| ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f14,plain,
! [X0] :
( ~ sP3(X0)
| sP1(X0)
| ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| ~ r1(X0,X2) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f13]) ).
fof(f15,plain,
! [X0] :
( ~ sP3(X0)
| sP1(X0)
| ! [X2] :
( ( p1(sK4(X2))
& ~ p1(sK5(X2))
& r1(sK4(X2),sK5(X2))
& r1(X2,sK4(X2)) )
| ~ r1(X0,X2) )
| ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X3,sK4(X2)),skolemize(X4,sK5(X2))],[f14]) ).
fof(f16,plain,
! [X10] :
( ~ sP2(X10)
| ? [X23] :
( ! [X24] :
( ~ p1(X24)
| ! [X25] :
( p1(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
& ~ p1(X23)
& r1(X10,X23) )
| ! [X21] :
( ? [X22] :
( ~ p1(X22)
& r1(X21,X22) )
| ~ r1(X10,X21) )
| p1(X10) ),
inference(nnf_transformation,[],[f10]) ).
fof(f17,plain,
! [X0] :
( ~ sP2(X0)
| ? [X3] :
( ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
& ~ p1(X3)
& r1(X0,X3) )
| ! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) )
| p1(X0) ),
inference(rectify,[],[f16]) ).
fof(f18,plain,
! [X0] :
( ~ sP2(X0)
| ( ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(sK7(X0),X4) )
& ~ p1(sK7(X0))
& r1(X0,sK7(X0)) )
| ! [X1] :
( ( ~ p1(sK6(X1))
& r1(X1,sK6(X1)) )
| ~ r1(X0,X1) )
| p1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X2,sK6(X1)),skolemize(X3,sK7(X0))],[f17]) ).
fof(f19,plain,
! [X10] :
( ~ sP1(X10)
| ? [X15] :
( ! [X17] :
( ( p1(X17)
& ? [X20] :
( ~ p1(X20)
& r1(X17,X20) ) )
| ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X15,X17) )
& p1(X15)
& ? [X16] :
( ~ p1(X16)
& r1(X15,X16) )
& r1(X10,X15) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f20,plain,
! [X0] :
( ~ sP1(X0)
| ? [X1] :
( ! [X3] :
( ( p1(X3)
& ? [X6] :
( ~ p1(X6)
& r1(X3,X6) ) )
| ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
& p1(X1)
& ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
& r1(X0,X1) ) ),
inference(rectify,[],[f19]) ).
fof(f21,plain,
! [X0] :
( ~ sP1(X0)
| ( ! [X3] :
( ( p1(X3)
& ~ p1(sK10(X3))
& r1(X3,sK10(X3)) )
| ! [X4] :
( ~ p1(X4)
| ! [X5] :
( p1(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(sK8(X0),X3) )
& p1(sK8(X0))
& ~ p1(sK9(X0))
& r1(sK8(X0),sK9(X0))
& r1(X0,sK8(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X1,sK8(X0)),skolemize(X2,sK9(X0)),skolemize(X6,sK10(X3))],[f20]) ).
fof(f25,plain,
? [X0] :
( ! [X32] :
( ? [X35] :
( ~ p1(X35)
& r1(X32,X35) )
| ! [X33] :
( ! [X34] :
( p1(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| ~ r1(X0,X32) )
& ! [X27] :
( ! [X28] :
( ? [X31] :
( ~ p1(X31)
& r1(X28,X31) )
| ! [X29] :
( ! [X30] :
( p1(X30)
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(X0,X27) )
& ? [X18] :
( ? [X19] :
( ? [X20] :
( ! [X24] :
( ? [X25] :
( p1(X25)
& ? [X26] :
( ~ p1(X26)
& r1(X25,X26) )
& r1(X24,X25) )
| p1(X24)
| ~ r1(X20,X24) )
& ? [X22] :
( ! [X23] :
( p1(X23)
| ~ r1(X22,X23) )
& r1(X20,X22) )
& ? [X21] :
( ~ p1(X21)
& r1(X20,X21) )
& r1(X19,X20) )
& r1(X18,X19) )
& r1(X0,X18) )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ? [X15] :
( ! [X16] :
( ~ p1(X16)
| ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
& ~ p1(X15)
& r1(X10,X15) )
| sP0(X10) )
& ! [X11] :
( ? [X14] :
( ~ p1(X14)
& r1(X11,X14) )
| ! [X12] :
( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
& sP2(X10)
& sP3(X10) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X0,X8) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ? [X7] :
( ~ p1(X7)
& r1(X4,X7) )
| ! [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f12]) ).
fof(f26,plain,
( ! [X32] :
( ( ~ p1(sK25(X32))
& r1(X32,sK25(X32)) )
| ! [X33] :
( ! [X34] :
( p1(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| ~ r1(sK13,X32) )
& ! [X27] :
( ! [X28] :
( ( ~ p1(sK24(X28))
& r1(X28,sK24(X28)) )
| ! [X29] :
( ! [X30] :
( p1(X30)
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X27,X28) )
| ~ r1(sK13,X27) )
& ! [X24] :
( ( p1(sK22(X24))
& ~ p1(sK23(X24))
& r1(sK22(X24),sK23(X24))
& r1(X24,sK22(X24)) )
| p1(X24)
| ~ r1(sK19,X24) )
& ! [X23] :
( p1(X23)
| ~ r1(sK21,X23) )
& r1(sK19,sK21)
& ~ p1(sK20)
& r1(sK19,sK20)
& r1(sK18,sK19)
& r1(sK17,sK18)
& r1(sK13,sK17)
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ( ! [X16] :
( ~ p1(X16)
| ! [X17] :
( p1(X17)
| ~ r1(X16,X17) )
| ~ r1(sK16(X10),X16) )
& ~ p1(sK16(X10))
& r1(X10,sK16(X10)) )
| sP0(X10) )
& ! [X11] :
( ( ~ p1(sK15(X11))
& r1(X11,sK15(X11)) )
| ! [X12] :
( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X10,X11) )
& sP2(X10)
& sP3(X10) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(sK13,X8) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( ~ p1(sK14(X4))
& r1(X4,sK14(X4)) )
| ! [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(sK13,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25]),skolemize(X0,sK13),skolemize(X7,sK14(X4)),skolemize(X14,sK15(X11)),skolemize(X15,sK16(X10)),skolemize(X18,sK17),skolemize(X19,sK18),skolemize(X20,sK19),skolemize(X21,sK20),skolemize(X22,sK21),skolemize(X25,sK22(X24)),skolemize(X26,sK23(X24)),skolemize(X31,sK24(X28)),skolemize(X35,sK25(X32))],[f25]) ).
fof(f27,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| sP1(X0)
| p1(sK4(X2))
| ~ r1(X0,X2)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| sP1(X0)
| ~ p1(sK5(X2))
| ~ r1(X0,X2)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| sP1(X0)
| r1(sK4(X2),sK5(X2))
| ~ r1(X0,X2)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| sP1(X0)
| r1(X2,sK4(X2))
| ~ r1(X0,X2)
| ~ p1(X0)
| p1(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f32,plain,
! [X0,X1,X4,X5] :
( ~ sP2(X0)
| ~ p1(X4)
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(sK7(X0),X4)
| ~ p1(sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ p1(sK7(X0))
| ~ p1(sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f34,plain,
! [X0,X1] :
( ~ sP2(X0)
| r1(X0,sK7(X0))
| ~ p1(sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f35,plain,
! [X0,X1,X4,X5] :
( ~ sP2(X0)
| ~ p1(X4)
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(sK7(X0),X4)
| r1(X1,sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f36,plain,
! [X0,X1] :
( ~ sP2(X0)
| ~ p1(sK7(X0))
| r1(X1,sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f37,plain,
! [X0,X1] :
( ~ sP2(X0)
| r1(X0,sK7(X0))
| r1(X1,sK6(X1))
| ~ r1(X0,X1)
| p1(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f38,plain,
! [X3,X0,X4,X5] :
( ~ sP1(X0)
| p1(X3)
| ~ p1(X4)
| p1(X5)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(sK8(X0),X3) ),
inference(cnf_transformation,[],[f21]) ).
fof(f42,plain,
! [X0] :
( ~ sP1(X0)
| ~ p1(sK9(X0)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f43,plain,
! [X0] :
( ~ sP1(X0)
| r1(sK8(X0),sK9(X0)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f44,plain,
! [X0] :
( ~ sP1(X0)
| r1(X0,sK8(X0)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f53,plain,
! [X24] :
( p1(sK22(X24))
| p1(X24)
| ~ r1(sK19,X24) ),
inference(cnf_transformation,[],[f26]) ).
fof(f54,plain,
! [X24] :
( ~ p1(sK23(X24))
| p1(X24)
| ~ r1(sK19,X24) ),
inference(cnf_transformation,[],[f26]) ).
fof(f55,plain,
! [X24] :
( r1(sK22(X24),sK23(X24))
| p1(X24)
| ~ r1(sK19,X24) ),
inference(cnf_transformation,[],[f26]) ).
fof(f56,plain,
! [X24] :
( r1(X24,sK22(X24))
| p1(X24)
| ~ r1(sK19,X24) ),
inference(cnf_transformation,[],[f26]) ).
fof(f57,plain,
! [X23] :
( p1(X23)
| ~ r1(sK21,X23) ),
inference(cnf_transformation,[],[f26]) ).
fof(f58,plain,
r1(sK19,sK21),
inference(cnf_transformation,[],[f26]) ).
fof(f59,plain,
~ p1(sK20),
inference(cnf_transformation,[],[f26]) ).
fof(f60,plain,
r1(sK19,sK20),
inference(cnf_transformation,[],[f26]) ).
fof(f61,plain,
r1(sK18,sK19),
inference(cnf_transformation,[],[f26]) ).
fof(f62,plain,
r1(sK17,sK18),
inference(cnf_transformation,[],[f26]) ).
fof(f63,plain,
r1(sK13,sK17),
inference(cnf_transformation,[],[f26]) ).
fof(f64,plain,
! [X10,X8,X9,X16,X17] :
( ~ p1(X16)
| p1(X17)
| ~ r1(X16,X17)
| ~ r1(sK16(X10),X16)
| sP0(X10)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(sK13,X8) ),
inference(cnf_transformation,[],[f26]) ).
fof(f65,plain,
! [X10,X8,X9] :
( ~ p1(sK16(X10))
| sP0(X10)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(sK13,X8) ),
inference(cnf_transformation,[],[f26]) ).
fof(f66,plain,
! [X10,X8,X9] :
( r1(X10,sK16(X10))
| sP0(X10)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(sK13,X8) ),
inference(cnf_transformation,[],[f26]) ).
fof(f67,plain,
! [X10,X11,X8,X9,X12,X13] :
( ~ p1(sK15(X11))
| p1(X13)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(sK13,X8) ),
inference(cnf_transformation,[],[f26]) ).
fof(f68,plain,
! [X10,X11,X8,X9,X12,X13] :
( r1(X11,sK15(X11))
| p1(X13)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(X10,X11)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(sK13,X8) ),
inference(cnf_transformation,[],[f26]) ).
fof(f69,plain,
! [X10,X8,X9] :
( sP2(X10)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(sK13,X8) ),
inference(cnf_transformation,[],[f26]) ).
fof(f70,plain,
! [X10,X8,X9] :
( sP3(X10)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(sK13,X8) ),
inference(cnf_transformation,[],[f26]) ).
fof(f71,plain,
! [X2,X3,X1,X6,X4,X5] :
( ~ p1(sK14(X4))
| p1(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f72,plain,
! [X2,X3,X1,X6,X4,X5] :
( r1(X4,sK14(X4))
| p1(X6)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(sK13,X1) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_49,plain,
! [X0: $i] : r1(X0,X0),
inference(cnf_transformation,[],[f27]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(X0)
| p1(X1)
| r1(X2,sK4(X2))
| ~ sP3(X0)
| ~ p1(X0)
| ~ r1(X0,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(X0)
| p1(X1)
| r1(sK4(X2),sK5(X2))
| ~ sP3(X0)
| ~ p1(X0)
| ~ r1(X0,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(X0)
| p1(X1)
| ~ sP3(X0)
| ~ p1(X0)
| ~ p1(sK5(X2))
| ~ r1(X0,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(X0)
| p1(X1)
| p1(sK4(X2))
| ~ sP3(X0)
| ~ p1(X0)
| ~ r1(X0,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| r1(X1,sK6(X1))
| r1(X0,sK7(X0))
| ~ sP2(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| r1(X1,sK6(X1))
| ~ sP2(X0)
| ~ p1(sK7(X0))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| p1(X0)
| r1(X2,sK6(X2))
| ~ sP2(X0)
| ~ p1(X1)
| ~ r1(X1,X3)
| ~ r1(X0,X2)
| ~ r1(sK7(X0),X1) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| r1(X0,sK7(X0))
| ~ sP2(X0)
| ~ p1(sK6(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( p1(X0)
| ~ sP2(X0)
| ~ p1(sK7(X0))
| ~ p1(sK6(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| p1(X0)
| ~ sP2(X0)
| ~ p1(X1)
| ~ p1(sK6(X2))
| ~ r1(X1,X3)
| ~ r1(X0,X2)
| ~ r1(sK7(X0),X1) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_60,plain,
! [X0: $i] :
( r1(X0,sK8(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_61,plain,
! [X0: $i] :
( r1(sK8(X0),sK9(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_62,plain,
! [X0: $i] :
( ~ sP1(X0)
| ~ p1(sK9(X0)) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| p1(X1)
| ~ sP1(X0)
| ~ p1(X2)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(sK8(X0),X1) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_71,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p1(X5)
| r1(X3,sK14(X3))
| ~ r1(sK13,X0)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_72,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p1(X5)
| ~ p1(sK14(X3))
| ~ r1(sK13,X0)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_73,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP3(X2)
| ~ r1(sK13,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_74,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X2)
| ~ r1(sK13,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_75,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p1(X5)
| r1(X3,sK15(X3))
| ~ r1(sK13,X0)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_76,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p1(X5)
| ~ p1(sK15(X3))
| ~ r1(sK13,X0)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_77,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| r1(X2,sK16(X2))
| ~ r1(sK13,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_78,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| ~ p1(sK16(X2))
| ~ r1(sK13,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_79,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X0)
| p1(X4)
| ~ p1(X1)
| ~ r1(sK13,X2)
| ~ r1(X3,X0)
| ~ r1(X2,X3)
| ~ r1(X1,X4)
| ~ r1(sK16(X0),X1) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_80,negated_conjecture,
r1(sK13,sK17),
inference(cnf_transformation,[],[f63]) ).
tcf(c_81,negated_conjecture,
r1(sK17,sK18),
inference(cnf_transformation,[],[f62]) ).
tcf(c_82,negated_conjecture,
r1(sK18,sK19),
inference(cnf_transformation,[],[f61]) ).
tcf(c_83,negated_conjecture,
r1(sK19,sK20),
inference(cnf_transformation,[],[f60]) ).
tcf(c_84,negated_conjecture,
~ p1(sK20),
inference(cnf_transformation,[],[f59]) ).
tcf(c_85,negated_conjecture,
r1(sK19,sK21),
inference(cnf_transformation,[],[f58]) ).
tcf(c_86,negated_conjecture,
! [X0: $i] :
( p1(X0)
| ~ r1(sK21,X0) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_87,negated_conjecture,
! [X0: $i] :
( p1(X0)
| r1(X0,sK22(X0))
| ~ r1(sK19,X0) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_88,negated_conjecture,
! [X0: $i] :
( p1(X0)
| r1(sK22(X0),sK23(X0))
| ~ r1(sK19,X0) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_89,negated_conjecture,
! [X0: $i] :
( p1(X0)
| ~ p1(sK23(X0))
| ~ r1(sK19,X0) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_90,negated_conjecture,
! [X0: $i] :
( p1(X0)
| p1(sK22(X0))
| ~ r1(sK19,X0) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_95,plain,
r1(sK13,sK13),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_2223,negated_conjecture,
! [X0: $i] :
( p1(X0)
| p1(sK22(X0))
| ~ r1(sK19,X0) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_2224,negated_conjecture,
! [X0: $i] :
( p1(X0)
| ~ p1(sK23(X0))
| ~ r1(sK19,X0) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_2225,negated_conjecture,
! [X0: $i] :
( p1(X0)
| r1(sK22(X0),sK23(X0))
| ~ r1(sK19,X0) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_2226,negated_conjecture,
! [X0: $i] :
( p1(X0)
| r1(X0,sK22(X0))
| ~ r1(sK19,X0) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_2227,negated_conjecture,
! [X0: $i] :
( p1(X0)
| ~ r1(sK21,X0) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_2228,negated_conjecture,
r1(sK19,sK21),
inference(demodulation,[status(thm)],[c_85]) ).
tcf(c_2229,negated_conjecture,
~ p1(sK20),
inference(demodulation,[status(thm)],[c_84]) ).
tcf(c_2230,negated_conjecture,
r1(sK19,sK20),
inference(demodulation,[status(thm)],[c_83]) ).
tcf(c_2231,negated_conjecture,
r1(sK18,sK19),
inference(demodulation,[status(thm)],[c_82]) ).
tcf(c_2232,negated_conjecture,
r1(sK17,sK18),
inference(demodulation,[status(thm)],[c_81]) ).
tcf(c_2233,negated_conjecture,
r1(sK13,sK17),
inference(demodulation,[status(thm)],[c_80]) ).
tcf(c_2234,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(X0)
| p1(X2)
| ~ p1(X1)
| ~ r1(sK13,X3)
| ~ r1(X4,X0)
| ~ r1(X3,X4)
| ~ r1(X1,X2)
| ~ r1(sK16(X0),X1) ),
inference(demodulation,[status(thm)],[c_79]) ).
tcf(c_2235,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| ~ p1(sK16(X2))
| ~ r1(sK13,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(demodulation,[status(thm)],[c_78]) ).
tcf(c_2236,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| r1(X2,sK16(X2))
| ~ r1(sK13,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(demodulation,[status(thm)],[c_77]) ).
tcf(c_2237,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p1(X5)
| ~ p1(sK15(X3))
| ~ r1(sK13,X0)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(demodulation,[status(thm)],[c_76]) ).
tcf(c_2238,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p1(X5)
| r1(X3,sK15(X3))
| ~ r1(sK13,X0)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(demodulation,[status(thm)],[c_75]) ).
tcf(c_2239,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X2)
| ~ r1(sK13,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(demodulation,[status(thm)],[c_74]) ).
tcf(c_2240,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( sP3(X2)
| ~ r1(sK13,X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(demodulation,[status(thm)],[c_73]) ).
tcf(c_2241,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p1(X5)
| ~ p1(sK14(X3))
| ~ r1(sK13,X0)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(demodulation,[status(thm)],[c_72]) ).
tcf(c_2242,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p1(X5)
| r1(X3,sK14(X3))
| ~ r1(sK13,X0)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(demodulation,[status(thm)],[c_71]) ).
tcf(c_2258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p1(sK20)
| ~ p1(sK15(X3))
| ~ r1(sK13,X0)
| ~ r1(X4,sK20)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_2237]) ).
tcf(c_2260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p1(sK20)
| ~ p1(sK14(X3))
| ~ r1(sK13,X0)
| ~ r1(X4,sK20)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_2241]) ).
tcf(c_2262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p1(sK20)
| r1(X3,sK15(X3))
| ~ r1(sK13,X0)
| ~ r1(X4,sK20)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_2238]) ).
tcf(c_2264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p1(sK20)
| r1(X3,sK14(X3))
| ~ r1(sK13,X0)
| ~ r1(X4,sK20)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_2242]) ).
tcf(c_2354,plain,
r1(sK20,sK20),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_2494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(sK20)
| r1(X3,sK14(X3))
| ~ r1(sK20,sK20)
| ~ r1(sK13,X0)
| ~ r1(X3,sK20)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_2264]) ).
tcf(c_2495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(sK20)
| r1(X3,sK15(X3))
| ~ r1(sK20,sK20)
| ~ r1(sK13,X0)
| ~ r1(X3,sK20)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_2262]) ).
tcf(c_2496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(sK20)
| ~ r1(sK20,sK20)
| ~ p1(sK14(X3))
| ~ r1(sK13,X0)
| ~ r1(X3,sK20)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_2260]) ).
tcf(c_2497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(sK20)
| ~ r1(sK20,sK20)
| ~ p1(sK15(X3))
| ~ r1(sK13,X0)
| ~ r1(X3,sK20)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_2258]) ).
tcf(c_3114,plain,
! [X0: $i] :
( sP2(X0)
| ~ r1(sK13,sK17)
| ~ r1(sK18,X0) ),
inference(superposition,[status(thm)],[c_2232,c_2239]) ).
tcf(c_3129,plain,
! [X0: $i] :
( sP2(X0)
| ~ r1(sK18,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3114,c_2233]) ).
tcf(c_3288,plain,
! [X0: $i] :
( p1(sK14(X0))
| ~ r1(sK21,sK14(X0)) ),
inference(instantiation,[status(thm)],[c_2227]) ).
tcf(c_3339,plain,
! [X0: $i] :
( sP3(X0)
| ~ r1(sK13,sK17)
| ~ r1(sK18,X0) ),
inference(superposition,[status(thm)],[c_2232,c_2240]) ).
tcf(c_3354,plain,
! [X0: $i] :
( sP3(X0)
| ~ r1(sK18,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3339,c_2233]) ).
tcf(c_3396,plain,
! [X0: $i] :
( sP3(X0)
| ~ r1(sK13,sK17)
| ~ r1(sK18,X0) ),
inference(superposition,[status(thm)],[c_2232,c_2240]) ).
tcf(c_3411,plain,
! [X0: $i] :
( sP3(X0)
| ~ r1(sK18,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3396,c_2233]) ).
tcf(c_4706,plain,
( p1(sK19)
| r1(sK21,sK6(sK21))
| r1(sK19,sK7(sK19))
| ~ sP2(sK19) ),
inference(superposition,[status(thm)],[c_2228,c_54]) ).
tcf(c_4774,plain,
( p1(sK19)
| r1(sK21,sK6(sK21))
| r1(sK19,sK7(sK19))
| ~ sP2(sK19) ),
inference(superposition,[status(thm)],[c_2228,c_54]) ).
tcf(c_6182,plain,
( p1(sK19)
| r1(sK21,sK6(sK21))
| ~ sP2(sK19)
| ~ p1(sK7(sK19)) ),
inference(superposition,[status(thm)],[c_2228,c_55]) ).
tcf(c_6250,plain,
( p1(sK19)
| r1(sK21,sK6(sK21))
| ~ sP2(sK19)
| ~ p1(sK7(sK19)) ),
inference(superposition,[status(thm)],[c_2228,c_55]) ).
tcf(c_6427,plain,
sP2(sK19),
inference(superposition,[status(thm)],[c_2231,c_3129]) ).
tcf(c_6707,plain,
! [X0: $i] :
( sP0(X0)
| r1(X0,sK16(X0))
| ~ r1(sK13,sK17)
| ~ r1(sK18,X0) ),
inference(superposition,[status(thm)],[c_2232,c_2236]) ).
tcf(c_6725,plain,
! [X0: $i] :
( sP0(X0)
| r1(X0,sK16(X0))
| ~ r1(sK18,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6707,c_2233]) ).
tcf(c_7086,plain,
( p1(sK14(sK21))
| ~ r1(sK21,sK14(sK21)) ),
inference(instantiation,[status(thm)],[c_3288]) ).
tcf(c_7759,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(sK20)
| ~ p1(sK14(sK19))
| ~ r1(sK20,sK20)
| ~ r1(sK19,sK20)
| ~ r1(sK13,X0)
| ~ r1(X2,sK19)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_2496]) ).
tcf(c_7765,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(sK20)
| ~ p1(sK15(sK19))
| ~ r1(sK20,sK20)
| ~ r1(sK19,sK20)
| ~ r1(sK13,X0)
| ~ r1(X2,sK19)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_2497]) ).
tcf(c_8861,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(sK20)
| r1(sK19,sK14(sK19))
| ~ r1(sK20,sK20)
| ~ r1(sK19,sK20)
| ~ r1(sK13,X0)
| ~ r1(X2,sK19)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_2494]) ).
tcf(c_8867,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(sK20)
| r1(sK19,sK15(sK19))
| ~ r1(sK20,sK20)
| ~ r1(sK19,sK20)
| ~ r1(sK13,X0)
| ~ r1(X2,sK19)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_2495]) ).
tcf(c_9852,plain,
( p1(sK19)
| r1(sK19,sK7(sK19))
| ~ sP2(sK19)
| ~ p1(sK6(sK21)) ),
inference(superposition,[status(thm)],[c_2228,c_57]) ).
tcf(c_9855,plain,
( p1(sK19)
| r1(sK19,sK7(sK19))
| ~ p1(sK6(sK21)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9852,c_6427]) ).
tcf(c_10181,plain,
( p1(sK19)
| ~ sP2(sK19)
| ~ p1(sK7(sK19))
| ~ p1(sK6(sK21)) ),
inference(superposition,[status(thm)],[c_2228,c_58]) ).
tcf(c_10184,plain,
( p1(sK19)
| ~ p1(sK7(sK19))
| ~ p1(sK6(sK21)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10181,c_6427]) ).
tcf(c_11166,plain,
sP3(sK19),
inference(superposition,[status(thm)],[c_2231,c_3354]) ).
tcf(c_11179,plain,
sP3(sK19),
inference(superposition,[status(thm)],[c_2231,c_3411]) ).
tcf(c_12275,plain,
! [X0: $i,X1: $i] :
( p1(sK20)
| r1(sK19,sK14(sK19))
| ~ r1(sK20,sK20)
| ~ r1(sK19,sK20)
| ~ r1(sK18,sK19)
| ~ r1(sK13,X0)
| ~ r1(X1,sK18)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_8861]) ).
tcf(c_12281,plain,
! [X0: $i,X1: $i] :
( p1(sK20)
| r1(sK19,sK15(sK19))
| ~ r1(sK20,sK20)
| ~ r1(sK19,sK20)
| ~ r1(sK18,sK19)
| ~ r1(sK13,X0)
| ~ r1(X1,sK18)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_8867]) ).
tcf(c_12764,plain,
! [X0: $i] :
( sP1(sK19)
| p1(sK20)
| ~ sP3(sK19)
| ~ p1(sK19)
| ~ p1(sK5(X0))
| ~ r1(sK19,X0) ),
inference(superposition,[status(thm)],[c_2230,c_52]) ).
tcf(c_12768,plain,
! [X0: $i] :
( sP1(sK19)
| ~ p1(sK19)
| ~ p1(sK5(X0))
| ~ r1(sK19,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12764,c_2229,c_11179]) ).
tcf(c_18383,plain,
( p1(sK7(sK19))
| r1(sK7(sK19),sK22(sK7(sK19)))
| ~ r1(sK19,sK7(sK19)) ),
inference(instantiation,[status(thm)],[c_2226]) ).
tcf(c_18384,plain,
( p1(sK7(sK19))
| r1(sK22(sK7(sK19)),sK23(sK7(sK19)))
| ~ r1(sK19,sK7(sK19)) ),
inference(instantiation,[status(thm)],[c_2225]) ).
tcf(c_19308,plain,
( sP0(sK19)
| p1(sK16(sK19))
| ~ r1(sK18,sK19)
| ~ p1(sK23(sK16(sK19))) ),
inference(superposition,[status(thm)],[c_6725,c_2224]) ).
tcf(c_19309,plain,
( sP0(sK19)
| p1(sK16(sK19))
| p1(sK22(sK16(sK19)))
| ~ r1(sK18,sK19) ),
inference(superposition,[status(thm)],[c_6725,c_2223]) ).
tcf(c_19363,plain,
( sP0(sK19)
| p1(sK16(sK19))
| p1(sK22(sK16(sK19))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19309,c_2231]) ).
tcf(c_19407,plain,
( sP0(sK19)
| p1(sK16(sK19))
| ~ p1(sK23(sK16(sK19))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19308,c_2231]) ).
tcf(c_21867,plain,
( r1(sK8(sK19),sK9(sK19))
| ~ sP1(sK19) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_21868,plain,
( ~ sP1(sK19)
| ~ p1(sK9(sK19)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_21869,plain,
( r1(sK19,sK8(sK19))
| ~ sP1(sK19) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_23485,plain,
! [X0: $i] :
( p1(sK20)
| r1(sK19,sK14(sK19))
| ~ r1(sK20,sK20)
| ~ r1(sK19,sK20)
| ~ r1(sK18,sK19)
| ~ r1(sK17,sK18)
| ~ r1(sK13,X0)
| ~ r1(X0,sK17) ),
inference(instantiation,[status(thm)],[c_12275]) ).
tcf(c_23486,plain,
( p1(sK20)
| r1(sK19,sK14(sK19))
| ~ r1(sK20,sK20)
| ~ r1(sK19,sK20)
| ~ r1(sK18,sK19)
| ~ r1(sK17,sK18)
| ~ r1(sK13,sK17)
| ~ r1(sK13,sK13) ),
inference(instantiation,[status(thm)],[c_23485]) ).
tcf(c_23490,plain,
! [X0: $i] :
( p1(sK20)
| r1(sK19,sK15(sK19))
| ~ r1(sK20,sK20)
| ~ r1(sK19,sK20)
| ~ r1(sK18,sK19)
| ~ r1(sK17,sK18)
| ~ r1(sK13,X0)
| ~ r1(X0,sK17) ),
inference(instantiation,[status(thm)],[c_12281]) ).
tcf(c_23491,plain,
( p1(sK20)
| r1(sK19,sK15(sK19))
| ~ r1(sK20,sK20)
| ~ r1(sK19,sK20)
| ~ r1(sK18,sK19)
| ~ r1(sK17,sK18)
| ~ r1(sK13,sK17)
| ~ r1(sK13,sK13) ),
inference(instantiation,[status(thm)],[c_23490]) ).
tcf(c_26563,plain,
( p1(sK19)
| r1(sK21,sK6(sK21))
| r1(sK19,sK7(sK19))
| ~ sP2(sK19) ),
inference(superposition,[status(thm)],[c_2228,c_54]) ).
tcf(c_26628,plain,
( p1(sK19)
| r1(sK21,sK6(sK21))
| ~ sP2(sK19)
| ~ p1(sK7(sK19)) ),
inference(superposition,[status(thm)],[c_2228,c_55]) ).
tcf(c_38609,plain,
( p1(sK19)
| r1(sK21,sK6(sK21))
| r1(sK19,sK7(sK19)) ),
inference(global_subsumption_just,[status(thm)],[c_26563,c_4706,c_6427]) ).
tcf(c_38646,plain,
( p1(sK19)
| p1(sK6(sK21))
| r1(sK19,sK7(sK19)) ),
inference(superposition,[status(thm)],[c_38609,c_2227]) ).
tcf(c_38957,plain,
( p1(sK19)
| r1(sK19,sK7(sK19)) ),
inference(global_subsumption_just,[status(thm)],[c_4774,c_9855,c_38646]) ).
tcf(c_38994,plain,
( p1(sK19)
| p1(sK7(sK19))
| ~ p1(sK23(sK7(sK19))) ),
inference(superposition,[status(thm)],[c_38957,c_2224]) ).
tcf(c_38995,plain,
( p1(sK19)
| p1(sK7(sK19))
| p1(sK22(sK7(sK19))) ),
inference(superposition,[status(thm)],[c_38957,c_2223]) ).
tcf(c_41166,plain,
! [X0: $i,X1: $i] :
( p1(sK20)
| ~ p1(sK14(sK19))
| ~ r1(sK20,sK20)
| ~ r1(sK19,sK20)
| ~ r1(sK18,sK19)
| ~ r1(sK13,X0)
| ~ r1(X1,sK18)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_7759]) ).
tcf(c_41172,plain,
! [X0: $i,X1: $i] :
( p1(sK20)
| ~ p1(sK15(sK19))
| ~ r1(sK20,sK20)
| ~ r1(sK19,sK20)
| ~ r1(sK18,sK19)
| ~ r1(sK13,X0)
| ~ r1(X1,sK18)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_7765]) ).
tcf(c_52539,plain,
! [X0: $i] :
( p1(sK20)
| ~ p1(sK14(sK19))
| ~ r1(sK20,sK20)
| ~ r1(sK19,sK20)
| ~ r1(sK18,sK19)
| ~ r1(sK17,sK18)
| ~ r1(sK13,X0)
| ~ r1(X0,sK17) ),
inference(instantiation,[status(thm)],[c_41166]) ).
tcf(c_52540,plain,
( p1(sK20)
| ~ p1(sK14(sK19))
| ~ r1(sK20,sK20)
| ~ r1(sK19,sK20)
| ~ r1(sK18,sK19)
| ~ r1(sK17,sK18)
| ~ r1(sK13,sK17)
| ~ r1(sK13,sK13) ),
inference(instantiation,[status(thm)],[c_52539]) ).
tcf(c_52544,plain,
! [X0: $i] :
( p1(sK20)
| ~ p1(sK15(sK19))
| ~ r1(sK20,sK20)
| ~ r1(sK19,sK20)
| ~ r1(sK18,sK19)
| ~ r1(sK17,sK18)
| ~ r1(sK13,X0)
| ~ r1(X0,sK17) ),
inference(instantiation,[status(thm)],[c_41172]) ).
tcf(c_52545,plain,
( p1(sK20)
| ~ p1(sK15(sK19))
| ~ r1(sK20,sK20)
| ~ r1(sK19,sK20)
| ~ r1(sK18,sK19)
| ~ r1(sK17,sK18)
| ~ r1(sK13,sK17)
| ~ r1(sK13,sK13) ),
inference(instantiation,[status(thm)],[c_52544]) ).
tcf(c_55652,plain,
( p1(sK19)
| r1(sK21,sK6(sK21))
| ~ p1(sK7(sK19)) ),
inference(global_subsumption_just,[status(thm)],[c_26628,c_6182,c_6427]) ).
tcf(c_55689,plain,
( p1(sK19)
| p1(sK6(sK21))
| ~ p1(sK7(sK19)) ),
inference(superposition,[status(thm)],[c_55652,c_2227]) ).
tcf(c_56430,plain,
( p1(sK19)
| ~ p1(sK7(sK19)) ),
inference(global_subsumption_just,[status(thm)],[c_6250,c_10184,c_55689]) ).
tcf(c_56436,plain,
( p1(sK19)
| ~ p1(sK23(sK7(sK19))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_38994,c_56430]) ).
tcf(c_56437,plain,
( p1(sK19)
| p1(sK22(sK7(sK19))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_38995,c_56430]) ).
tcf(c_91388,plain,
! [X0: $i] :
( p1(sK6(X0))
| ~ r1(sK21,sK6(X0)) ),
inference(instantiation,[status(thm)],[c_2227]) ).
tcf(c_93050,plain,
! [X0: $i,X1: $i] :
( sP1(X0)
| p1(X1)
| r1(sK21,sK4(sK21))
| ~ sP3(X0)
| ~ p1(X0)
| ~ r1(X0,sK21)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_119704,plain,
! [X0: $i] :
( sP1(X0)
| p1(sK14(sK19))
| r1(sK21,sK4(sK21))
| ~ sP3(X0)
| ~ p1(X0)
| ~ r1(X0,sK21)
| ~ r1(X0,sK14(sK19)) ),
inference(instantiation,[status(thm)],[c_93050]) ).
tcf(c_137899,plain,
( p1(sK6(sK21))
| ~ r1(sK21,sK6(sK21)) ),
inference(instantiation,[status(thm)],[c_91388]) ).
tcf(c_157141,plain,
( sP1(sK19)
| p1(sK14(sK19))
| r1(sK21,sK4(sK21))
| ~ sP3(sK19)
| ~ p1(sK19)
| ~ r1(sK19,sK21)
| ~ r1(sK19,sK14(sK19)) ),
inference(instantiation,[status(thm)],[c_119704]) ).
tcf(c_159523,plain,
( sP1(sK19)
| ~ p1(sK19)
| ~ p1(sK5(sK21)) ),
inference(superposition,[status(thm)],[c_2228,c_12768]) ).
tcf(c_259051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p1(X4)
| r1(sK21,sK14(sK21))
| ~ r1(sK21,X3)
| ~ r1(sK13,X0)
| ~ r1(X2,sK21)
| ~ r1(X3,X4)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_2242]) ).
tcf(c_259102,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| p1(X0)
| r1(sK21,sK6(sK21))
| ~ sP2(X0)
| ~ p1(X1)
| ~ r1(X0,sK21)
| ~ r1(X1,X2)
| ~ r1(sK7(X0),X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_259144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| r1(sK21,sK14(sK21))
| ~ r1(sK19,sK21)
| ~ r1(sK21,X2)
| ~ r1(sK13,X0)
| ~ r1(X1,sK19)
| ~ r1(X2,X3)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_259051]) ).
tcf(c_259150,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| p1(X0)
| ~ sP1(sK19)
| ~ p1(X1)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK8(sK19),X0) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_259175,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X1)
| r1(sK21,sK14(sK21))
| ~ r1(sK19,sK21)
| ~ r1(sK18,sK19)
| ~ r1(sK21,X0)
| ~ r1(sK13,X2)
| ~ r1(X2,sK18)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_259144]) ).
tcf(c_259195,plain,
! [X0: $i,X1: $i] :
( p1(sK19)
| p1(X1)
| r1(sK21,sK6(sK21))
| ~ sP2(sK19)
| ~ p1(X0)
| ~ r1(sK19,sK21)
| ~ r1(X0,X1)
| ~ r1(sK7(sK19),X0) ),
inference(instantiation,[status(thm)],[c_259102]) ).
tcf(c_259209,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| r1(sK21,sK14(sK21))
| ~ r1(sK19,sK21)
| ~ r1(sK18,sK19)
| ~ r1(sK17,sK18)
| ~ r1(sK13,sK17)
| ~ r1(sK21,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_259175]) ).
tcf(c_259252,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| p1(sK9(sK19))
| ~ sP1(sK19)
| ~ p1(X0)
| ~ r1(X0,X1)
| ~ r1(sK9(sK19),X0)
| ~ r1(sK8(sK19),sK9(sK19)) ),
inference(instantiation,[status(thm)],[c_259150]) ).
tcf(c_259394,plain,
! [X0: $i] :
( p1(X0)
| p1(sK9(sK19))
| ~ sP1(sK19)
| ~ p1(sK11(sK9(sK19)))
| ~ r1(sK8(sK19),sK9(sK19))
| ~ r1(sK11(sK9(sK19)),X0)
| ~ r1(sK9(sK19),sK11(sK9(sK19))) ),
inference(instantiation,[status(thm)],[c_259252]) ).
tcf(c_260183,plain,
! [X0: $i] :
( p1(sK19)
| p1(X0)
| r1(sK21,sK6(sK21))
| ~ sP2(sK19)
| ~ r1(sK19,sK21)
| ~ p1(sK22(sK7(sK19)))
| ~ r1(sK22(sK7(sK19)),X0)
| ~ r1(sK7(sK19),sK22(sK7(sK19))) ),
inference(instantiation,[status(thm)],[c_259195]) ).
tcf(c_260306,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| r1(X1,sK16(X1))
| ~ r1(sK13,X0)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c_2236,c_49]) ).
tcf(c_260316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sK19)
| p1(X1)
| ~ p1(X0)
| ~ r1(sK13,X2)
| ~ r1(X3,sK19)
| ~ r1(X2,X3)
| ~ r1(X0,X1)
| ~ r1(sK16(sK19),X0) ),
inference(instantiation,[status(thm)],[c_2234]) ).
tcf(c_260317,plain,
! [X0: $i,X1: $i] :
( sP0(sK19)
| r1(sK19,sK16(sK19))
| ~ r1(sK13,X0)
| ~ r1(X1,sK19)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_2236]) ).
tcf(c_260318,plain,
! [X0: $i,X1: $i] :
( sP0(sK19)
| ~ p1(sK16(sK19))
| ~ r1(sK13,X0)
| ~ r1(X1,sK19)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_2235]) ).
tcf(c_260330,plain,
! [X0: $i] :
( sP3(X0)
| ~ r1(sK13,sK17)
| ~ r1(sK18,X0) ),
inference(superposition,[status(thm)],[c_2232,c_2240]) ).
tcf(c_260345,plain,
! [X0: $i] :
( sP3(X0)
| ~ r1(sK18,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_260330,c_2233]) ).
tcf(c_260503,plain,
! [X0: $i] :
( sP0(sK19)
| r1(sK19,sK16(sK19))
| ~ r1(sK18,sK19)
| ~ r1(sK13,X0)
| ~ r1(X0,sK18) ),
inference(instantiation,[status(thm)],[c_260317]) ).
tcf(c_260507,plain,
! [X0: $i] :
( sP0(sK19)
| ~ p1(sK16(sK19))
| ~ r1(sK18,sK19)
| ~ r1(sK13,X0)
| ~ r1(X0,sK18) ),
inference(instantiation,[status(thm)],[c_260318]) ).
tcf(c_260550,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(sK19)
| p1(X1)
| ~ p1(X0)
| ~ r1(sK18,sK19)
| ~ r1(sK13,X2)
| ~ r1(X2,sK18)
| ~ r1(X0,X1)
| ~ r1(sK16(sK19),X0) ),
inference(instantiation,[status(thm)],[c_260316]) ).
tcf(c_260794,plain,
( p1(sK19)
| p1(sK23(sK7(sK19)))
| r1(sK21,sK6(sK21))
| ~ sP2(sK19)
| ~ r1(sK19,sK21)
| ~ p1(sK22(sK7(sK19)))
| ~ r1(sK7(sK19),sK22(sK7(sK19)))
| ~ r1(sK22(sK7(sK19)),sK23(sK7(sK19))) ),
inference(instantiation,[status(thm)],[c_260183]) ).
tcf(c_261220,plain,
( sP0(sK19)
| r1(sK19,sK16(sK19))
| ~ r1(sK18,sK19)
| ~ r1(sK17,sK18)
| ~ r1(sK13,sK17) ),
inference(instantiation,[status(thm)],[c_260503]) ).
tcf(c_261224,plain,
( sP0(sK19)
| ~ p1(sK16(sK19))
| ~ r1(sK18,sK19)
| ~ r1(sK17,sK18)
| ~ r1(sK13,sK17) ),
inference(instantiation,[status(thm)],[c_260507]) ).
tcf(c_261256,plain,
! [X0: $i,X1: $i] :
( sP0(sK19)
| p1(X1)
| ~ p1(X0)
| ~ r1(sK18,sK19)
| ~ r1(sK17,sK18)
| ~ r1(sK13,sK17)
| ~ r1(X0,X1)
| ~ r1(sK16(sK19),X0) ),
inference(instantiation,[status(thm)],[c_260550]) ).
tcf(c_261280,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| p1(X0)
| ~ sP2(X0)
| ~ p1(X1)
| ~ p1(sK6(sK21))
| ~ r1(X0,sK21)
| ~ r1(X1,X2)
| ~ r1(sK7(X0),X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_261557,plain,
( p1(sK16(sK19))
| r1(sK16(sK19),sK22(sK16(sK19)))
| ~ r1(sK19,sK16(sK19)) ),
inference(instantiation,[status(thm)],[c_2226]) ).
tcf(c_261558,plain,
( p1(sK16(sK19))
| r1(sK22(sK16(sK19)),sK23(sK16(sK19)))
| ~ r1(sK19,sK16(sK19)) ),
inference(instantiation,[status(thm)],[c_2225]) ).
tcf(c_261692,plain,
! [X0: $i] :
( p1(X0)
| r1(X0,sK7(X0))
| r1(X0,sK6(X0))
| ~ sP2(X0) ),
inference(resolution,[status(thm)],[c_54,c_49]) ).
tcf(c_261701,plain,
! [X0: $i,X1: $i] :
( p1(sK19)
| p1(X1)
| ~ sP2(sK19)
| ~ p1(X0)
| ~ p1(sK6(sK21))
| ~ r1(sK19,sK21)
| ~ r1(X0,X1)
| ~ r1(sK7(sK19),X0) ),
inference(instantiation,[status(thm)],[c_261280]) ).
tcf(c_261709,plain,
! [X0: $i] :
( p1(X0)
| r1(sK21,sK14(sK21))
| ~ r1(sK19,sK21)
| ~ r1(sK18,sK19)
| ~ r1(sK17,sK18)
| ~ r1(sK13,sK17)
| ~ r1(sK21,sK4(sK21))
| ~ r1(sK4(sK21),X0) ),
inference(instantiation,[status(thm)],[c_259209]) ).
tcf(c_262388,plain,
( p1(sK5(sK21))
| r1(sK21,sK14(sK21))
| ~ r1(sK19,sK21)
| ~ r1(sK18,sK19)
| ~ r1(sK17,sK18)
| ~ r1(sK13,sK17)
| ~ r1(sK21,sK4(sK21))
| ~ r1(sK4(sK21),sK5(sK21)) ),
inference(instantiation,[status(thm)],[c_261709]) ).
tcf(c_262389,plain,
! [X0: $i,X1: $i] :
( sP1(X0)
| p1(X1)
| r1(sK4(sK21),sK5(sK21))
| ~ sP3(X0)
| ~ p1(X0)
| ~ r1(X0,sK21)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_262905,plain,
! [X0: $i] :
( sP0(X0)
| r1(X0,sK16(X0))
| ~ r1(sK13,sK17)
| ~ r1(sK18,X0) ),
inference(superposition,[status(thm)],[c_2232,c_2236]) ).
tcf(c_262923,plain,
! [X0: $i] :
( sP0(X0)
| r1(X0,sK16(X0))
| ~ r1(sK18,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_262905,c_2233]) ).
tcf(c_263027,plain,
! [X0: $i] :
( sP1(sK19)
| p1(X0)
| r1(sK4(sK21),sK5(sK21))
| ~ sP3(sK19)
| ~ p1(sK19)
| ~ r1(sK19,sK21)
| ~ r1(sK19,X0) ),
inference(instantiation,[status(thm)],[c_262389]) ).
tcf(c_263117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( p1(X4)
| ~ p1(sK14(sK21))
| ~ r1(sK21,X3)
| ~ r1(sK13,X0)
| ~ r1(X2,sK21)
| ~ r1(X3,X4)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_2241]) ).
tcf(c_263439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X3)
| ~ p1(sK14(sK21))
| ~ r1(sK19,sK21)
| ~ r1(sK21,X2)
| ~ r1(sK13,X0)
| ~ r1(X1,sK19)
| ~ r1(X2,X3)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_263117]) ).
tcf(c_263976,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X1)
| ~ p1(sK14(sK21))
| ~ r1(sK19,sK21)
| ~ r1(sK18,sK19)
| ~ r1(sK21,X0)
| ~ r1(sK13,X2)
| ~ r1(X2,sK18)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_263439]) ).
tcf(c_264844,plain,
! [X0: $i,X1: $i] :
( p1(X1)
| ~ p1(sK14(sK21))
| ~ r1(sK19,sK21)
| ~ r1(sK18,sK19)
| ~ r1(sK17,sK18)
| ~ r1(sK13,sK17)
| ~ r1(sK21,X0)
| ~ r1(X0,X1) ),
inference(instantiation,[status(thm)],[c_263976]) ).
tcf(c_264890,plain,
! [X0: $i] :
( sP0(X0)
| r1(X0,sK16(X0))
| ~ r1(sK17,X0) ),
inference(resolution,[status(thm)],[c_260306,c_2233]) ).
tcf(c_264961,plain,
( sP0(sK19)
| p1(sK16(sK19))
| p1(sK22(sK16(sK19)))
| ~ r1(sK17,sK19) ),
inference(resolution,[status(thm)],[c_264890,c_2223]) ).
tcf(c_265454,plain,
! [X0: $i] :
( p1(X0)
| ~ p1(sK14(sK21))
| ~ r1(sK19,sK21)
| ~ r1(sK18,sK19)
| ~ r1(sK17,sK18)
| ~ r1(sK13,sK17)
| ~ r1(sK21,sK4(sK21))
| ~ r1(sK4(sK21),X0) ),
inference(instantiation,[status(thm)],[c_264844]) ).
tcf(c_266265,plain,
( sP0(sK19)
| p1(sK22(sK16(sK19))) ),
inference(global_subsumption_just,[status(thm)],[c_264961,c_82,c_81,c_80,c_19363,c_261224]) ).
tcf(c_266372,plain,
( p1(sK5(sK21))
| ~ p1(sK14(sK21))
| ~ r1(sK19,sK21)
| ~ r1(sK18,sK19)
| ~ r1(sK17,sK18)
| ~ r1(sK13,sK17)
| ~ r1(sK21,sK4(sK21))
| ~ r1(sK4(sK21),sK5(sK21)) ),
inference(instantiation,[status(thm)],[c_265454]) ).
tcf(c_266767,plain,
( sP1(sK19)
| p1(sK15(sK19))
| r1(sK4(sK21),sK5(sK21))
| ~ sP3(sK19)
| ~ p1(sK19)
| ~ r1(sK19,sK21)
| ~ r1(sK19,sK15(sK19)) ),
inference(instantiation,[status(thm)],[c_263027]) ).
tcf(c_267368,plain,
( p1(sK19)
| p1(sK7(sK19))
| p1(sK22(sK7(sK19)))
| r1(sK19,sK6(sK19))
| ~ sP2(sK19) ),
inference(resolution,[status(thm)],[c_261692,c_2223]) ).
tcf(c_267491,plain,
sP3(sK19),
inference(superposition,[status(thm)],[c_2231,c_260345]) ).
tcf(c_267809,plain,
! [X0: $i] :
( p1(sK19)
| p1(X0)
| ~ sP2(sK19)
| ~ p1(sK6(sK21))
| ~ r1(sK19,sK21)
| ~ p1(sK22(sK7(sK19)))
| ~ r1(sK22(sK7(sK19)),X0)
| ~ r1(sK7(sK19),sK22(sK7(sK19))) ),
inference(instantiation,[status(thm)],[c_261701]) ).
tcf(c_268358,plain,
! [X0: $i] :
( sP1(sK19)
| p1(sK20)
| p1(sK4(X0))
| ~ sP3(sK19)
| ~ p1(sK19)
| ~ r1(sK19,X0) ),
inference(superposition,[status(thm)],[c_2230,c_53]) ).
tcf(c_268362,plain,
! [X0: $i] :
( sP1(sK19)
| p1(sK4(X0))
| ~ p1(sK19)
| ~ r1(sK19,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_268358,c_2229,c_267491]) ).
tcf(c_269019,plain,
( p1(sK19)
| p1(sK23(sK7(sK19)))
| ~ sP2(sK19)
| ~ p1(sK6(sK21))
| ~ r1(sK19,sK21)
| ~ p1(sK22(sK7(sK19)))
| ~ r1(sK7(sK19),sK22(sK7(sK19)))
| ~ r1(sK22(sK7(sK19)),sK23(sK7(sK19))) ),
inference(instantiation,[status(thm)],[c_267809]) ).
tcf(c_269080,plain,
p1(sK19),
inference(global_subsumption_just,[status(thm)],[c_267368,c_85,c_6427,c_18384,c_18383,c_38957,c_56430,c_56437,c_56436,c_137899,c_260794,c_269019]) ).
tcf(c_270553,plain,
! [X0: $i] :
( sP0(sK19)
| p1(X0)
| ~ r1(sK18,sK19)
| ~ r1(sK17,sK18)
| ~ r1(sK13,sK17)
| ~ p1(sK22(sK16(sK19)))
| ~ r1(sK22(sK16(sK19)),X0)
| ~ r1(sK16(sK19),sK22(sK16(sK19))) ),
inference(instantiation,[status(thm)],[c_261256]) ).
tcf(c_272227,plain,
( sP0(sK19)
| p1(sK23(sK16(sK19)))
| ~ r1(sK18,sK19)
| ~ r1(sK17,sK18)
| ~ r1(sK13,sK17)
| ~ p1(sK22(sK16(sK19)))
| ~ r1(sK16(sK19),sK22(sK16(sK19)))
| ~ r1(sK22(sK16(sK19)),sK23(sK16(sK19))) ),
inference(instantiation,[status(thm)],[c_270553]) ).
tcf(c_272968,plain,
( sP0(sK19)
| p1(sK16(sK19))
| p1(sK22(sK16(sK19)))
| ~ r1(sK18,sK19) ),
inference(superposition,[status(thm)],[c_262923,c_2223]) ).
tcf(c_273015,plain,
( sP0(sK19)
| p1(sK16(sK19))
| p1(sK22(sK16(sK19))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_272968,c_2231]) ).
tcf(c_273829,plain,
( p1(sK9(sK19))
| p1(sK12(sK9(sK19)))
| ~ sP1(sK19)
| ~ p1(sK11(sK9(sK19)))
| ~ r1(sK8(sK19),sK9(sK19))
| ~ r1(sK9(sK19),sK11(sK9(sK19)))
| ~ r1(sK11(sK9(sK19)),sK12(sK9(sK19))) ),
inference(instantiation,[status(thm)],[c_259394]) ).
tcf(c_274926,plain,
sP0(sK19),
inference(global_subsumption_just,[status(thm)],[c_273015,c_82,c_81,c_80,c_19407,c_261220,c_261224,c_261558,c_261557,c_266265,c_272227]) ).
tcf(c_276946,plain,
sP1(sK19),
inference(global_subsumption_just,[status(thm)],[c_268362,c_85,c_84,c_83,c_82,c_81,c_80,c_95,c_2354,c_7086,c_11166,c_23486,c_23491,c_52540,c_52545,c_157141,c_159523,c_262388,c_266372,c_266767,c_269080]) ).
fof(f8,definition,
! [X10] :
( ~ sP0(X10)
| ! [X30] :
( ! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X10,X30) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f9,definition,
! [X10] :
( ~ sP1(X10)
| ? [X15] :
( ! [X17] :
( ( p1(X17)
& ? [X20] :
( ~ p1(X20)
& r1(X17,X20) ) )
| ! [X18] :
( ~ p1(X18)
| ! [X19] :
( p1(X19)
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X15,X17) )
& p1(X15)
& ? [X16] :
( ~ p1(X16)
& r1(X15,X16) )
& r1(X10,X15) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X10] :
( ~ sP2(X10)
| ? [X23] :
( ! [X24] :
( ~ p1(X24)
| ! [X25] :
( p1(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
& ~ p1(X23)
& r1(X10,X23) )
| ! [X21] :
( ? [X22] :
( ~ p1(X22)
& r1(X21,X22) )
| ~ r1(X10,X21) )
| p1(X10) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X10] :
( ~ sP3(X10)
| sP1(X10)
| ! [X12] :
( ? [X13] :
( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
& r1(X12,X13) )
| ~ r1(X10,X12) )
| ~ p1(X10)
| ! [X11] :
( p1(X11)
| ~ r1(X10,X11) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f12,plain,
? [X0] :
( ! [X51] :
( ? [X54] :
( ~ p1(X54)
& r1(X51,X54) )
| ! [X52] :
( ! [X53] :
( p1(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| ~ r1(X0,X51) )
& ! [X46] :
( ! [X47] :
( ? [X50] :
( ~ p1(X50)
& r1(X47,X50) )
| ! [X48] :
( ! [X49] :
( p1(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X0,X46) )
& ? [X37] :
( ? [X38] :
( ? [X39] :
( ! [X43] :
( ? [X44] :
( p1(X44)
& ? [X45] :
( ~ p1(X45)
& r1(X44,X45) )
& r1(X43,X44) )
| p1(X43)
| ~ r1(X39,X43) )
& ? [X41] :
( ! [X42] :
( p1(X42)
| ~ r1(X41,X42) )
& r1(X39,X41) )
& ? [X40] :
( ~ p1(X40)
& r1(X39,X40) )
& r1(X38,X39) )
& r1(X37,X38) )
& r1(X0,X37) )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ? [X34] :
( ! [X35] :
( ~ p1(X35)
| ! [X36] :
( p1(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p1(X34)
& r1(X10,X34) )
| sP0(X10) )
& ! [X26] :
( ? [X29] :
( ~ p1(X29)
& r1(X26,X29) )
| ! [X27] :
( ! [X28] :
( p1(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
| ~ r1(X10,X26) )
& sP2(X10)
& sP3(X10) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X0,X8) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ? [X7] :
( ~ p1(X7)
& r1(X4,X7) )
| ! [X5] :
( ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(definition_folding,[],[f7,f11,f10,f9,f8]) ).
fof(f22,plain,
! [X10] :
( ~ sP0(X10)
| ! [X30] :
( ! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| p1(X31)
| ~ r1(X30,X31) )
| ~ r1(X10,X30) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f23,plain,
! [X0] :
( ~ sP0(X0)
| ! [X1] :
( ! [X2] :
( ? [X3] :
( p1(X3)
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X0] :
( ~ sP0(X0)
| ! [X1] :
( ! [X2] :
( ( p1(sK11(X2))
& ~ p1(sK12(X2))
& r1(sK11(X2),sK12(X2))
& r1(X2,sK11(X2)) )
| p1(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12]),skolemize(X3,sK11(X2)),skolemize(X4,sK12(X2))],[f23]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| p1(sK11(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| ~ p1(sK12(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| r1(sK11(X2),sK12(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| r1(X2,sK11(X2))
| p1(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| r1(X2,sK11(X2))
| ~ sP0(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| r1(sK11(X2),sK12(X2))
| ~ sP0(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| ~ sP0(X0)
| ~ p1(sK12(X2))
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(X2)
| p1(sK11(X2))
| ~ sP0(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_259395,plain,
! [X0: $i,X1: $i] :
( p1(sK9(sK19))
| r1(sK9(sK19),sK11(sK9(sK19)))
| ~ sP0(X1)
| ~ r1(X1,X0)
| ~ r1(X0,sK9(sK19)) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_259555,plain,
! [X0: $i,X1: $i] :
( p1(sK9(sK19))
| p1(sK11(sK9(sK19)))
| ~ sP0(X1)
| ~ r1(X1,X0)
| ~ r1(X0,sK9(sK19)) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_259578,plain,
! [X0: $i] :
( p1(sK9(sK19))
| r1(sK9(sK19),sK11(sK9(sK19)))
| ~ sP0(X0)
| ~ r1(X0,sK8(sK19))
| ~ r1(sK8(sK19),sK9(sK19)) ),
inference(instantiation,[status(thm)],[c_259395]) ).
tcf(c_259752,plain,
! [X0: $i] :
( p1(sK9(sK19))
| p1(sK11(sK9(sK19)))
| ~ sP0(X0)
| ~ r1(X0,sK8(sK19))
| ~ r1(sK8(sK19),sK9(sK19)) ),
inference(instantiation,[status(thm)],[c_259555]) ).
tcf(c_260028,plain,
( p1(sK9(sK19))
| r1(sK9(sK19),sK11(sK9(sK19)))
| ~ sP0(sK19)
| ~ r1(sK19,sK8(sK19))
| ~ r1(sK8(sK19),sK9(sK19)) ),
inference(instantiation,[status(thm)],[c_259578]) ).
tcf(c_260423,plain,
( p1(sK9(sK19))
| p1(sK11(sK9(sK19)))
| ~ sP0(sK19)
| ~ r1(sK19,sK8(sK19))
| ~ r1(sK8(sK19),sK9(sK19)) ),
inference(instantiation,[status(thm)],[c_259752]) ).
tcf(c_273830,plain,
! [X0: $i,X1: $i] :
( p1(sK9(sK19))
| r1(sK11(sK9(sK19)),sK12(sK9(sK19)))
| ~ sP0(X1)
| ~ r1(X1,X0)
| ~ r1(X0,sK9(sK19)) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_274092,plain,
! [X0: $i] :
( p1(sK9(sK19))
| r1(sK11(sK9(sK19)),sK12(sK9(sK19)))
| ~ sP0(X0)
| ~ r1(X0,sK8(sK19))
| ~ r1(sK8(sK19),sK9(sK19)) ),
inference(instantiation,[status(thm)],[c_273830]) ).
tcf(c_275559,plain,
( p1(sK9(sK19))
| r1(sK11(sK9(sK19)),sK12(sK9(sK19)))
| ~ sP0(sK19)
| ~ r1(sK19,sK8(sK19))
| ~ r1(sK8(sK19),sK9(sK19)) ),
inference(instantiation,[status(thm)],[c_274092]) ).
tcf(c_277895,plain,
! [X0: $i,X1: $i] :
( p1(sK9(sK19))
| ~ sP0(X1)
| ~ r1(X1,X0)
| ~ p1(sK12(sK9(sK19)))
| ~ r1(X0,sK9(sK19)) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_279465,plain,
! [X0: $i] :
( p1(sK9(sK19))
| ~ sP0(X0)
| ~ p1(sK12(sK9(sK19)))
| ~ r1(X0,sK8(sK19))
| ~ r1(sK8(sK19),sK9(sK19)) ),
inference(instantiation,[status(thm)],[c_277895]) ).
tcf(c_284258,plain,
( p1(sK9(sK19))
| ~ sP0(sK19)
| ~ p1(sK12(sK9(sK19)))
| ~ r1(sK19,sK8(sK19))
| ~ r1(sK8(sK19),sK9(sK19)) ),
inference(instantiation,[status(thm)],[c_279465]) ).
tcf(c_284259,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_284258,c_276946,c_275559,c_274926,c_273829,c_260423,c_260028,c_21867,c_21868,c_21869]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL658+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 00:04:35 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 73.17/12.88 % SZS status Started for theBenchmark.p
% 73.17/12.88 % SZS status Theorem for theBenchmark.p
% 73.17/12.88
% 73.17/12.88 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 73.17/12.88
% 73.17/12.88 % ------ iProver source info
% 73.17/12.88
% 73.17/12.88 % git: date: 2026-07-19 20:42:38 +0200
% 73.17/12.88 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 73.17/12.88 % git: non_committed_changes: false
% 73.17/12.88
% 73.17/12.88 % ------ Parsing...
% 73.17/12.88 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 73.17/12.88
% 73.17/12.88 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 73.17/12.88
% 73.17/12.88 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 73.17/12.88 % ------ Proving...
% 73.17/12.88 % ------ Problem Properties
% 73.17/12.88
% 73.17/12.88 %
% 73.17/12.88 % clauses 46
% 73.17/12.88 % conjectures 24
% 73.17/12.88 % EPR 10
% 73.17/12.88 % Horn 23
% 73.17/12.88 % unary 7
% 73.17/12.88 % binary 5
% 73.17/12.88 % lits 214
% 73.17/12.88 % lits eq 0
% 73.17/12.88 % fd_pure 0
% 73.17/12.88 % fd_pseudo 0
% 73.17/12.88 % fd_cond 0
% 73.17/12.88 % fd_pseudo_cond 0
% 73.17/12.88 % AC symbols 0
% 73.17/12.88
% 73.17/12.88 % ------ Schedule dynamic 5 is on
% 73.17/12.88
% 73.17/12.88 % ------ no equalities: superposition off
% 73.17/12.88
% 73.17/12.88 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 73.17/12.88
% 73.17/12.88
% 73.17/12.88 % ------
% 73.17/12.88 % Current options:
% 73.17/12.88 % ------
% 73.17/12.88
% 73.17/12.88
% 73.17/12.88 %
% 73.17/12.88
% 73.17/12.88 % ------ Proving...
% 73.17/12.88 % Proof_search_loop: time out after: 12505 full_loop iterations
% 73.17/12.88
% 73.17/12.88 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 73.17/12.88
% 73.17/12.88
% 73.17/12.88 % ------
% 73.17/12.88 % Current options:
% 73.17/12.88 % ------
% 73.17/12.88
% 73.17/12.88
% 73.17/12.88 %
% 73.17/12.88
% 73.17/12.88 % ------ Proving...
% 73.17/12.88 %
% 73.17/12.88
% 73.17/12.88 % SZS status Theorem for theBenchmark.p
% 73.17/12.88
% 73.17/12.88 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 73.17/12.89
% 73.17/12.89
%------------------------------------------------------------------------------