TSTP Solution File: LCL642+1.005 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL642+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 3.90s 1.11s
% Output : CNFRefutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 47
% Syntax : Number of formulae : 218 ( 5 unt; 0 def)
% Number of atoms : 2923 ( 0 equ)
% Maximal formula atoms : 192 ( 13 avg)
% Number of connectives : 4437 (1732 ~;1916 |; 751 &)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 2 prp; 0-2 aty)
% Number of functors : 38 ( 38 usr; 13 con; 0-1 aty)
% Number of variables : 1218 ( 0 sgn; 824 !; 297 ?)
% 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] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [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/sandbox/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [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] :
( $false
| ~ r1(X6,X7) )
| p1(X6) )
| ! [X8] :
( ! [X9] :
( $false
| ~ r1(X8,X9) )
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] :
( $false
| ~ r1(X5,X10) )
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] :
( $false
| ~ r1(X0,X11) )
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] :
( $false
| ~ r1(X13,X14) )
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] :
( $false
| ~ r1(X15,X16) )
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] :
( $false
| ~ r1(X12,X17) )
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] :
( $false
| ~ r1(X0,X18) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] :
( $false
| ~ r1(X20,X21) )
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] :
( $false
| ~ r1(X22,X23) )
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] :
( $false
| ~ r1(X19,X24) )
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] :
( $false
| ~ r1(X0,X25) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] :
( $false
| ~ r1(X27,X28) )
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] :
( $false
| ~ r1(X29,X30) )
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] :
( $false
| ~ r1(X26,X31) )
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] :
( $false
| ~ r1(X0,X32) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| p2(X34) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X34,X40) ) ) )
| ! [X44] :
( ( ( ~ ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p2(X44) )
& ( ~ ! [X47] :
( ~ ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| p2(X47)
| ~ r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ~ ! [X52] :
( ~ p2(X52)
| ! [X53] :
( p2(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
| ( ( ~ ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
| p2(X33) )
& ( ~ ! [X56] :
( ~ ! [X57] :
( ~ p2(X57)
| ! [X58] :
( p2(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
| ! [X59] :
( ! [X60] :
( ~ ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X33,X59) ) ) )
| ~ r1(X0,X33) )
| ( ( ~ ! [X63] :
( ~ p2(X63)
| ! [X64] :
( p2(X64)
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
| p2(X0) )
& ( ~ ! [X65] :
( ~ ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| p2(X65)
| ~ r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ~ ! [X70] :
( ~ p2(X70)
| ! [X71] :
( p2(X71)
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) ) )
| ~ ! [X72] :
( ~ ! [X73] :
( ~ p1(X73)
| ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
| ! [X75] :
( p1(X75)
| ~ r1(X0,X75) )
| ~ ! [X76] :
( ~ ! [X77] :
( ~ p2(X77)
| ! [X78] :
( p2(X78)
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
| ! [X79] :
( p2(X79)
| ~ r1(X0,X79) )
| ~ ! [X80] :
( ~ ! [X81] :
( ~ p3(X81)
| ! [X82] :
( p3(X82)
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| p3(X80)
| ~ r1(X0,X80) )
| ! [X83] :
( p3(X83)
| ~ r1(X0,X83) ) ),
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] : ~ r1(X6,X7)
| p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] : ~ r1(X5,X10)
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] : ~ r1(X13,X14)
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] : ~ r1(X12,X17)
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] : ~ r1(X20,X21)
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] : ~ r1(X19,X24)
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] : ~ r1(X27,X28)
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] : ~ r1(X26,X31)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| p2(X34) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X34,X40) ) ) )
| ! [X44] :
( ( ( ~ ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p2(X44) )
& ( ~ ! [X47] :
( ~ ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| p2(X47)
| ~ r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ~ ! [X52] :
( ~ p2(X52)
| ! [X53] :
( p2(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
| ( ( ~ ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
| p2(X33) )
& ( ~ ! [X56] :
( ~ ! [X57] :
( ~ p2(X57)
| ! [X58] :
( p2(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
| ! [X59] :
( ! [X60] :
( ~ ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X33,X59) ) ) )
| ~ r1(X0,X33) )
| ( ( ~ ! [X63] :
( ~ p2(X63)
| ! [X64] :
( p2(X64)
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
| p2(X0) )
& ( ~ ! [X65] :
( ~ ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| p2(X65)
| ~ r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ~ ! [X70] :
( ~ p2(X70)
| ! [X71] :
( p2(X71)
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) ) )
| ~ ! [X72] :
( ~ ! [X73] :
( ~ p1(X73)
| ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
| ! [X75] :
( p1(X75)
| ~ r1(X0,X75) )
| ~ ! [X76] :
( ~ ! [X77] :
( ~ p2(X77)
| ! [X78] :
( p2(X78)
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
| ! [X79] :
( p2(X79)
| ~ r1(X0,X79) )
| ~ ! [X80] :
( ~ ! [X81] :
( ~ p3(X81)
| ! [X82] :
( p3(X82)
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| p3(X80)
| ~ r1(X0,X80) )
| ! [X83] :
( p3(X83)
| ~ r1(X0,X83) ) ),
inference(true_and_false_elimination,[],[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] : ~ r1(X6,X7)
| p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] : ~ r1(X5,X10)
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] : ~ r1(X13,X14)
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] : ~ r1(X12,X17)
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] : ~ r1(X20,X21)
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] : ~ r1(X19,X24)
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] : ~ r1(X27,X28)
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] : ~ r1(X26,X31)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| p2(X34) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X34,X40) ) ) )
| ! [X44] :
( ( ( ~ ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p2(X44) )
& ( ~ ! [X47] :
( ~ ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| p2(X47)
| ~ r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ~ ! [X52] :
( ~ p2(X52)
| ! [X53] :
( p2(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
| ( ( ~ ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
| p2(X33) )
& ( ~ ! [X56] :
( ~ ! [X57] :
( ~ p2(X57)
| ! [X58] :
( p2(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
| ! [X59] :
( ! [X60] :
( ~ ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X33,X59) ) ) )
| ~ r1(X0,X33) )
| ( ( ~ ! [X63] :
( ~ p2(X63)
| ! [X64] :
( p2(X64)
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
| p2(X0) )
& ( ~ ! [X65] :
( ~ ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| p2(X65)
| ~ r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ~ ! [X70] :
( ~ p2(X70)
| ! [X71] :
( p2(X71)
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) ) )
| ~ ! [X72] :
( ~ ! [X73] :
( ~ p1(X73)
| ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
| ! [X75] :
( p1(X75)
| ~ r1(X0,X75) )
| ~ ! [X76] :
( ~ ! [X77] :
( ~ p2(X77)
| ! [X78] :
( p2(X78)
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
| ! [X79] :
( p2(X79)
| ~ r1(X0,X79) )
| ~ ! [X80] :
( ~ ! [X81] :
( ~ p3(X81)
| ! [X82] :
( p3(X82)
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| p3(X80)
| ~ r1(X0,X80) )
| ! [X83] :
( p3(X83)
| ~ r1(X0,X83) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X26] :
( ! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( ! [X34] :
( ( ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p2(X34) )
| ( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
& ? [X40] :
( ? [X41] :
( ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& ~ p2(X41)
& r1(X40,X41) )
& r1(X34,X40) ) )
| ! [X44] :
( ( ( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44) )
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ? [X52] :
( p2(X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
& ( ( ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
& ~ p2(X33) )
| ( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
& ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) ) ) )
& r1(X0,X33) )
| ( ( ? [X63] :
( p2(X63)
& ? [X64] :
( ~ p2(X64)
& r1(X63,X64) )
& r1(X0,X63) )
| p2(X0) )
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) )
& ! [X72] :
( ? [X73] :
( p1(X73)
& ? [X74] :
( ~ p1(X74)
& r1(X73,X74) )
& r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
& ? [X75] :
( ~ p1(X75)
& r1(X0,X75) )
& ! [X76] :
( ? [X77] :
( p2(X77)
& ? [X78] :
( ~ p2(X78)
& r1(X77,X78) )
& r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) )
& ! [X80] :
( ? [X81] :
( p3(X81)
& ? [X82] :
( ~ p3(X82)
& r1(X81,X82) )
& r1(X80,X81) )
| p3(X80)
| ~ r1(X0,X80) )
& ? [X83] :
( ~ p3(X83)
& r1(X0,X83) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X26] :
( ! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( ! [X34] :
( ( ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p2(X34) )
| ( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
& ? [X40] :
( ? [X41] :
( ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& ~ p2(X41)
& r1(X40,X41) )
& r1(X34,X40) ) )
| ! [X44] :
( ( ( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44) )
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ? [X52] :
( p2(X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
& ( ( ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
& ~ p2(X33) )
| ( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
& ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) ) ) )
& r1(X0,X33) )
| ( ( ? [X63] :
( p2(X63)
& ? [X64] :
( ~ p2(X64)
& r1(X63,X64) )
& r1(X0,X63) )
| p2(X0) )
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) )
& ! [X72] :
( ? [X73] :
( p1(X73)
& ? [X74] :
( ~ p1(X74)
& r1(X73,X74) )
& r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
& ? [X75] :
( ~ p1(X75)
& r1(X0,X75) )
& ! [X76] :
( ? [X77] :
( p2(X77)
& ? [X78] :
( ~ p2(X78)
& r1(X77,X78) )
& r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) )
& ! [X80] :
( ? [X81] :
( p3(X81)
& ? [X82] :
( ~ p3(X82)
& r1(X81,X82) )
& r1(X80,X81) )
| p3(X80)
| ~ r1(X0,X80) )
& ? [X83] :
( ~ p3(X83)
& r1(X0,X83) ) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0] :
( ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
! [X33] :
( ( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
& ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) ) )
| ~ sP1(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
! [X44] :
( ! [X50] :
( ! [X51] :
( ? [X52] :
( p2(X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) )
| ~ sP2(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
! [X34] :
( ( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
& ? [X40] :
( ? [X41] :
( ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& ~ p2(X41)
& r1(X40,X41) )
& r1(X34,X40) ) )
| ~ sP3(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
! [X34] :
( ! [X44] :
( ( ( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44) )
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| sP2(X44) ) )
| ~ r1(X34,X44) )
| ~ sP4(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
! [X0] :
( ( ( ? [X63] :
( p2(X63)
& ? [X64] :
( ~ p2(X64)
& r1(X63,X64) )
& r1(X0,X63) )
| p2(X0) )
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| sP0(X0) ) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f14,plain,
! [X26] :
( ! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ~ sP6(X26) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f15,plain,
! [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ~ sP7(X19) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f16,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] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( sP7(X19)
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X26] :
( sP6(X26)
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( ! [X34] :
( ( ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p2(X34) )
| sP3(X34)
| sP4(X34)
| ~ r1(X33,X34) )
& ( ( ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
& ~ p2(X33) )
| sP1(X33) )
& r1(X0,X33) )
| sP5(X0) )
& ! [X72] :
( ? [X73] :
( p1(X73)
& ? [X74] :
( ~ p1(X74)
& r1(X73,X74) )
& r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
& ? [X75] :
( ~ p1(X75)
& r1(X0,X75) )
& ! [X76] :
( ? [X77] :
( p2(X77)
& ? [X78] :
( ~ p2(X78)
& r1(X77,X78) )
& r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) )
& ! [X80] :
( ? [X81] :
( p3(X81)
& ? [X82] :
( ~ p3(X82)
& r1(X81,X82) )
& r1(X80,X81) )
| p3(X80)
| ~ r1(X0,X80) )
& ? [X83] :
( ~ p3(X83)
& r1(X0,X83) ) ),
inference(definition_folding,[],[f7,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f25,plain,
! [X0] :
( ( ( ? [X63] :
( p2(X63)
& ? [X64] :
( ~ p2(X64)
& r1(X63,X64) )
& r1(X0,X63) )
| p2(X0) )
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| sP0(X0) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f13]) ).
fof(f26,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,[],[f25]) ).
fof(f27,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( p2(sK10(X0))
& ? [X2] :
( ~ p2(X2)
& r1(sK10(X0),X2) )
& r1(X0,sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
( ? [X2] :
( ~ p2(X2)
& r1(sK10(X0),X2) )
=> ( ~ p2(sK11(X0))
& r1(sK10(X0),sK11(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,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(sK12(X0),X4) )
& ~ p2(sK12(X0))
& r1(X0,sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ( ( ( p2(sK10(X0))
& ~ p2(sK11(X0))
& r1(sK10(X0),sK11(X0))
& r1(X0,sK10(X0)) )
| p2(X0) )
& ( ( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(sK12(X0),X4) )
& ~ p2(sK12(X0))
& r1(X0,sK12(X0)) )
| sP0(X0) ) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f26,f29,f28,f27]) ).
fof(f31,plain,
! [X34] :
( ! [X44] :
( ( ( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44) )
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| sP2(X44) ) )
| ~ r1(X34,X44) )
| ~ sP4(X34) ),
inference(nnf_transformation,[],[f12]) ).
fof(f32,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,[],[f31]) ).
fof(f33,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK13(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK13(X1),X3) )
& r1(X1,sK13(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK13(X1),X3) )
=> ( ~ p2(sK14(X1))
& r1(sK13(X1),sK14(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,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(sK15(X1),X5) )
& ~ p2(sK15(X1))
& r1(X1,sK15(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( ( ( ( p2(sK13(X1))
& ~ p2(sK14(X1))
& r1(sK13(X1),sK14(X1))
& r1(X1,sK13(X1)) )
| p2(X1) )
& ( ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(sK15(X1),X5) )
& ~ p2(sK15(X1))
& r1(X1,sK15(X1)) )
| sP2(X1) ) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f32,f35,f34,f33]) ).
fof(f37,plain,
! [X34] :
( ( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
& ? [X40] :
( ? [X41] :
( ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& ~ p2(X41)
& r1(X40,X41) )
& r1(X34,X40) ) )
| ~ sP3(X34) ),
inference(nnf_transformation,[],[f11]) ).
fof(f38,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,[],[f37]) ).
fof(f39,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK16(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK16(X1),X3) )
& r1(X1,sK16(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK16(X1),X3) )
=> ( ~ p2(sK17(X1))
& r1(sK16(X1),sK17(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,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(sK18(X0),X5) )
& r1(X0,sK18(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK18(X0),X5) )
=> ( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK19(X0),X6) )
& ~ p2(sK19(X0))
& r1(sK18(X0),sK19(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK16(X1))
& ~ p2(sK17(X1))
& r1(sK16(X1),sK17(X1))
& r1(X1,sK16(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK19(X0),X6) )
& ~ p2(sK19(X0))
& r1(sK18(X0),sK19(X0))
& r1(X0,sK18(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19])],[f38,f42,f41,f40,f39]) ).
fof(f49,plain,
! [X33] :
( ( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
& ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) ) )
| ~ sP1(X33) ),
inference(nnf_transformation,[],[f9]) ).
fof(f50,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,[],[f49]) ).
fof(f51,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK22(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK22(X1),X3) )
& r1(X1,sK22(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK22(X1),X3) )
=> ( ~ p2(sK23(X1))
& r1(sK22(X1),sK23(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,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(sK24(X0),X5) )
& r1(X0,sK24(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK24(X0),X5) )
=> ( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK25(X0),X6) )
& ~ p2(sK25(X0))
& r1(sK24(X0),sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK22(X1))
& ~ p2(sK23(X1))
& r1(sK22(X1),sK23(X1))
& r1(X1,sK22(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK25(X0),X6) )
& ~ p2(sK25(X0))
& r1(sK24(X0),sK25(X0))
& r1(X0,sK24(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25])],[f50,f54,f53,f52,f51]) ).
fof(f56,plain,
! [X0] :
( ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f8]) ).
fof(f57,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,[],[f56]) ).
fof(f58,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p2(sK26(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK26(X2),X4) )
& r1(X2,sK26(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK26(X2),X4) )
=> ( ~ p2(sK27(X2))
& r1(sK26(X2),sK27(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK26(X2))
& ~ p2(sK27(X2))
& r1(sK26(X2),sK27(X2))
& r1(X2,sK26(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f57,f59,f58]) ).
fof(f61,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] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( sP7(X19)
& ? [X20] : r1(X19,X20)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X21] : ~ r1(X0,X21)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X22] :
( sP6(X22)
& ? [X23] : r1(X22,X23)
& ~ p1(X22)
& ~ p2(X22)
& ~ p3(X22)
& ~ p4(X22)
& r1(X0,X22) )
| ! [X24] : ~ r1(X0,X24)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X25] :
( ! [X26] :
( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
& ~ p2(X26) )
| sP3(X26)
| sP4(X26)
| ~ r1(X25,X26) )
& ( ( ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X25,X29) )
& ~ p2(X25) )
| sP1(X25) )
& r1(X0,X25) )
| sP5(X0) )
& ! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| p1(X31)
| ~ r1(X0,X31) )
& ? [X34] :
( ~ p1(X34)
& r1(X0,X34) )
& ! [X35] :
( ? [X36] :
( p2(X36)
& ? [X37] :
( ~ p2(X37)
& r1(X36,X37) )
& r1(X35,X36) )
| p2(X35)
| ~ r1(X0,X35) )
& ? [X38] :
( ~ p2(X38)
& r1(X0,X38) )
& ! [X39] :
( ? [X40] :
( p3(X40)
& ? [X41] :
( ~ p3(X41)
& r1(X40,X41) )
& r1(X39,X40) )
| p3(X39)
| ~ r1(X0,X39) )
& ? [X42] :
( ~ p3(X42)
& r1(X0,X42) ) ),
inference(rectify,[],[f16]) ).
fof(f62,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] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( sP7(X19)
& ? [X20] : r1(X19,X20)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X21] : ~ r1(X0,X21)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X22] :
( sP6(X22)
& ? [X23] : r1(X22,X23)
& ~ p1(X22)
& ~ p2(X22)
& ~ p3(X22)
& ~ p4(X22)
& r1(X0,X22) )
| ! [X24] : ~ r1(X0,X24)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X25] :
( ! [X26] :
( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
& ~ p2(X26) )
| sP3(X26)
| sP4(X26)
| ~ r1(X25,X26) )
& ( ( ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X25,X29) )
& ~ p2(X25) )
| sP1(X25) )
& r1(X0,X25) )
| sP5(X0) )
& ! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| p1(X31)
| ~ r1(X0,X31) )
& ? [X34] :
( ~ p1(X34)
& r1(X0,X34) )
& ! [X35] :
( ? [X36] :
( p2(X36)
& ? [X37] :
( ~ p2(X37)
& r1(X36,X37) )
& r1(X35,X36) )
| p2(X35)
| ~ r1(X0,X35) )
& ? [X38] :
( ~ p2(X38)
& r1(X0,X38) )
& ! [X39] :
( ? [X40] :
( p3(X40)
& ? [X41] :
( ~ p3(X41)
& r1(X40,X41) )
& r1(X39,X40) )
| p3(X39)
| ~ r1(X0,X39) )
& ? [X42] :
( ~ p3(X42)
& r1(X0,X42) ) )
=> ( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(sK28,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(sK28,X5) )
| ! [X11] : ~ r1(sK28,X11)
| p1(sK28) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(sK28,X12) )
| ! [X18] : ~ r1(sK28,X18)
| p1(sK28)
| p2(sK28) )
& ( ? [X19] :
( sP7(X19)
& ? [X20] : r1(X19,X20)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(sK28,X19) )
| ! [X21] : ~ r1(sK28,X21)
| p1(sK28)
| p2(sK28)
| p3(sK28) )
& ( ? [X22] :
( sP6(X22)
& ? [X23] : r1(X22,X23)
& ~ p1(X22)
& ~ p2(X22)
& ~ p3(X22)
& ~ p4(X22)
& r1(sK28,X22) )
| ! [X24] : ~ r1(sK28,X24)
| p1(sK28)
| p2(sK28)
| p3(sK28)
| p4(sK28) )
& ( ? [X25] :
( ! [X26] :
( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
& ~ p2(X26) )
| sP3(X26)
| sP4(X26)
| ~ r1(X25,X26) )
& ( ( ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X25,X29) )
& ~ p2(X25) )
| sP1(X25) )
& r1(sK28,X25) )
| sP5(sK28) )
& ! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| p1(X31)
| ~ r1(sK28,X31) )
& ? [X34] :
( ~ p1(X34)
& r1(sK28,X34) )
& ! [X35] :
( ? [X36] :
( p2(X36)
& ? [X37] :
( ~ p2(X37)
& r1(X36,X37) )
& r1(X35,X36) )
| p2(X35)
| ~ r1(sK28,X35) )
& ? [X38] :
( ~ p2(X38)
& r1(sK28,X38) )
& ! [X39] :
( ? [X40] :
( p3(X40)
& ? [X41] :
( ~ p3(X41)
& r1(X40,X41) )
& r1(X39,X40) )
| p3(X39)
| ~ r1(sK28,X39) )
& ? [X42] :
( ~ p3(X42)
& r1(sK28,X42) ) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK29(X1),X3) )
& ~ p2(sK29(X1))
& r1(X1,sK29(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(sK28,X5) )
=> ( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(sK30,X6) )
& ? [X10] : r1(sK30,X10)
& ~ p1(sK30)
& r1(sK28,sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X6] :
( ? [X7] : r1(X6,X7)
=> r1(X6,sK31(X6)) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
( ? [X10] : r1(sK30,X10)
=> r1(sK30,sK32) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(sK28,X12) )
=> ( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(sK33,X13) )
& ? [X17] : r1(sK33,X17)
& ~ p1(sK33)
& ~ p2(sK33)
& r1(sK28,sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X13] :
( ? [X14] : r1(X13,X14)
=> r1(X13,sK34(X13)) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
( ? [X17] : r1(sK33,X17)
=> r1(sK33,sK35) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
( ? [X19] :
( sP7(X19)
& ? [X20] : r1(X19,X20)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(sK28,X19) )
=> ( sP7(sK36)
& ? [X20] : r1(sK36,X20)
& ~ p1(sK36)
& ~ p2(sK36)
& ~ p3(sK36)
& r1(sK28,sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ? [X20] : r1(sK36,X20)
=> r1(sK36,sK37) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ? [X22] :
( sP6(X22)
& ? [X23] : r1(X22,X23)
& ~ p1(X22)
& ~ p2(X22)
& ~ p3(X22)
& ~ p4(X22)
& r1(sK28,X22) )
=> ( sP6(sK38)
& ? [X23] : r1(sK38,X23)
& ~ p1(sK38)
& ~ p2(sK38)
& ~ p3(sK38)
& ~ p4(sK38)
& r1(sK28,sK38) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( ? [X23] : r1(sK38,X23)
=> r1(sK38,sK39) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
( ? [X25] :
( ! [X26] :
( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
& ~ p2(X26) )
| sP3(X26)
| sP4(X26)
| ~ r1(X25,X26) )
& ( ( ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X25,X29) )
& ~ p2(X25) )
| sP1(X25) )
& r1(sK28,X25) )
=> ( ! [X26] :
( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
& ~ p2(X26) )
| sP3(X26)
| sP4(X26)
| ~ r1(sK40,X26) )
& ( ( ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(sK40,X29) )
& ~ p2(sK40) )
| sP1(sK40) )
& r1(sK28,sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
=> ( p1(sK41(X31))
& ? [X33] :
( ~ p1(X33)
& r1(sK41(X31),X33) )
& r1(X31,sK41(X31)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X31] :
( ? [X33] :
( ~ p1(X33)
& r1(sK41(X31),X33) )
=> ( ~ p1(sK42(X31))
& r1(sK41(X31),sK42(X31)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
( ? [X34] :
( ~ p1(X34)
& r1(sK28,X34) )
=> ( ~ p1(sK43)
& r1(sK28,sK43) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X35] :
( ? [X36] :
( p2(X36)
& ? [X37] :
( ~ p2(X37)
& r1(X36,X37) )
& r1(X35,X36) )
=> ( p2(sK44(X35))
& ? [X37] :
( ~ p2(X37)
& r1(sK44(X35),X37) )
& r1(X35,sK44(X35)) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X35] :
( ? [X37] :
( ~ p2(X37)
& r1(sK44(X35),X37) )
=> ( ~ p2(sK45(X35))
& r1(sK44(X35),sK45(X35)) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
( ? [X38] :
( ~ p2(X38)
& r1(sK28,X38) )
=> ( ~ p2(sK46)
& r1(sK28,sK46) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X39] :
( ? [X40] :
( p3(X40)
& ? [X41] :
( ~ p3(X41)
& r1(X40,X41) )
& r1(X39,X40) )
=> ( p3(sK47(X39))
& ? [X41] :
( ~ p3(X41)
& r1(sK47(X39),X41) )
& r1(X39,sK47(X39)) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X39] :
( ? [X41] :
( ~ p3(X41)
& r1(sK47(X39),X41) )
=> ( ~ p3(sK48(X39))
& r1(sK47(X39),sK48(X39)) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( ? [X42] :
( ~ p3(X42)
& r1(sK28,X42) )
=> ( ~ p3(sK49)
& r1(sK28,sK49) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK29(X1),X3) )
& ~ p2(sK29(X1))
& r1(X1,sK29(X1)) )
| p2(X1)
| ~ r1(sK28,X1) )
& ( ( ! [X6] :
( ( r1(X6,sK31(X6))
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(sK30,X6) )
& r1(sK30,sK32)
& ~ p1(sK30)
& r1(sK28,sK30) )
| ! [X11] : ~ r1(sK28,X11)
| p1(sK28) )
& ( ( ! [X13] :
( ( r1(X13,sK34(X13))
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(sK33,X13) )
& r1(sK33,sK35)
& ~ p1(sK33)
& ~ p2(sK33)
& r1(sK28,sK33) )
| ! [X18] : ~ r1(sK28,X18)
| p1(sK28)
| p2(sK28) )
& ( ( sP7(sK36)
& r1(sK36,sK37)
& ~ p1(sK36)
& ~ p2(sK36)
& ~ p3(sK36)
& r1(sK28,sK36) )
| ! [X21] : ~ r1(sK28,X21)
| p1(sK28)
| p2(sK28)
| p3(sK28) )
& ( ( sP6(sK38)
& r1(sK38,sK39)
& ~ p1(sK38)
& ~ p2(sK38)
& ~ p3(sK38)
& ~ p4(sK38)
& r1(sK28,sK38) )
| ! [X24] : ~ r1(sK28,X24)
| p1(sK28)
| p2(sK28)
| p3(sK28)
| p4(sK28) )
& ( ( ! [X26] :
( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
& ~ p2(X26) )
| sP3(X26)
| sP4(X26)
| ~ r1(sK40,X26) )
& ( ( ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(sK40,X29) )
& ~ p2(sK40) )
| sP1(sK40) )
& r1(sK28,sK40) )
| sP5(sK28) )
& ! [X31] :
( ( p1(sK41(X31))
& ~ p1(sK42(X31))
& r1(sK41(X31),sK42(X31))
& r1(X31,sK41(X31)) )
| p1(X31)
| ~ r1(sK28,X31) )
& ~ p1(sK43)
& r1(sK28,sK43)
& ! [X35] :
( ( p2(sK44(X35))
& ~ p2(sK45(X35))
& r1(sK44(X35),sK45(X35))
& r1(X35,sK44(X35)) )
| p2(X35)
| ~ r1(sK28,X35) )
& ~ p2(sK46)
& r1(sK28,sK46)
& ! [X39] :
( ( p3(sK47(X39))
& ~ p3(sK48(X39))
& r1(sK47(X39),sK48(X39))
& r1(X39,sK47(X39)) )
| p3(X39)
| ~ r1(sK28,X39) )
& ~ p3(sK49)
& r1(sK28,sK49) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49])],[f61,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62]) ).
fof(f94,plain,
! [X0] :
( r1(X0,sK12(X0))
| sP0(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f95,plain,
! [X0] :
( ~ p2(sK12(X0))
| sP0(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f96,plain,
! [X0,X4,X5] :
( ~ p2(X4)
| p2(X5)
| ~ r1(X4,X5)
| ~ r1(sK12(X0),X4)
| sP0(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f104,plain,
! [X0,X1] :
( r1(X1,sK13(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f105,plain,
! [X0,X1] :
( r1(sK13(X1),sK14(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f106,plain,
! [X0,X1] :
( ~ p2(sK14(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f107,plain,
! [X0,X1] :
( p2(sK13(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f112,plain,
! [X0,X1] :
( r1(X1,sK16(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f113,plain,
! [X0,X1] :
( r1(sK16(X1),sK17(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f114,plain,
! [X0,X1] :
( ~ p2(sK17(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f115,plain,
! [X0,X1] :
( p2(sK16(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f120,plain,
! [X0] :
( r1(X0,sK24(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f121,plain,
! [X0] :
( r1(sK24(X0),sK25(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f122,plain,
! [X0] :
( ~ p2(sK25(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f123,plain,
! [X0,X6,X7] :
( ~ p2(X6)
| p2(X7)
| ~ r1(X6,X7)
| ~ r1(sK25(X0),X6)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f124,plain,
! [X0,X1] :
( r1(X1,sK22(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f125,plain,
! [X0,X1] :
( r1(sK22(X1),sK23(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f126,plain,
! [X0,X1] :
( ~ p2(sK23(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f127,plain,
! [X0,X1] :
( p2(sK22(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f128,plain,
! [X2,X0,X1] :
( r1(X2,sK26(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f129,plain,
! [X2,X0,X1] :
( r1(sK26(X2),sK27(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ p2(sK27(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f131,plain,
! [X2,X0,X1] :
( p2(sK26(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f138,plain,
r1(sK28,sK46),
inference(cnf_transformation,[],[f84]) ).
fof(f139,plain,
~ p2(sK46),
inference(cnf_transformation,[],[f84]) ).
fof(f140,plain,
! [X35] :
( r1(X35,sK44(X35))
| p2(X35)
| ~ r1(sK28,X35) ),
inference(cnf_transformation,[],[f84]) ).
fof(f141,plain,
! [X35] :
( r1(sK44(X35),sK45(X35))
| p2(X35)
| ~ r1(sK28,X35) ),
inference(cnf_transformation,[],[f84]) ).
fof(f142,plain,
! [X35] :
( ~ p2(sK45(X35))
| p2(X35)
| ~ r1(sK28,X35) ),
inference(cnf_transformation,[],[f84]) ).
fof(f143,plain,
! [X35] :
( p2(sK44(X35))
| p2(X35)
| ~ r1(sK28,X35) ),
inference(cnf_transformation,[],[f84]) ).
fof(f150,plain,
( r1(sK28,sK40)
| sP5(sK28) ),
inference(cnf_transformation,[],[f84]) ).
fof(f151,plain,
( ~ p2(sK40)
| sP1(sK40)
| sP5(sK28) ),
inference(cnf_transformation,[],[f84]) ).
fof(f152,plain,
! [X29,X30] :
( ~ p2(X29)
| p2(X30)
| ~ r1(X29,X30)
| ~ r1(sK40,X29)
| sP1(sK40)
| sP5(sK28) ),
inference(cnf_transformation,[],[f84]) ).
fof(f153,plain,
! [X26] :
( ~ p2(X26)
| sP3(X26)
| sP4(X26)
| ~ r1(sK40,X26)
| sP5(sK28) ),
inference(cnf_transformation,[],[f84]) ).
fof(f154,plain,
! [X28,X26,X27] :
( ~ p2(X27)
| p2(X28)
| ~ r1(X27,X28)
| ~ r1(X26,X27)
| sP3(X26)
| sP4(X26)
| ~ r1(sK40,X26)
| sP5(sK28) ),
inference(cnf_transformation,[],[f84]) ).
fof(f180,plain,
! [X1] :
( r1(X1,sK29(X1))
| p2(X1)
| ~ r1(sK28,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f181,plain,
! [X1] :
( ~ p2(sK29(X1))
| p2(X1)
| ~ r1(sK28,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f182,plain,
! [X3,X1,X4] :
( ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK29(X1),X3)
| p2(X1)
| ~ r1(sK28,X1) ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_62,plain,
( ~ r1(sK12(X0),X1)
| ~ r1(X1,X2)
| ~ p2(X1)
| ~ sP5(X0)
| p2(X2)
| sP0(X0) ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_63,plain,
( ~ p2(sK12(X0))
| ~ sP5(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f95]) ).
cnf(c_64,plain,
( ~ sP5(X0)
| r1(X0,sK12(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_65,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| p2(sK13(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_66,plain,
( ~ r1(X0,X1)
| ~ p2(sK14(X1))
| ~ sP4(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_67,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| r1(sK13(X1),sK14(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_68,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| r1(X1,sK13(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_72,plain,
( ~ r1(X0,X1)
| ~ sP3(X0)
| p2(sK16(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_73,plain,
( ~ r1(X0,X1)
| ~ p2(sK17(X1))
| ~ sP3(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_74,plain,
( ~ r1(X0,X1)
| ~ sP3(X0)
| r1(sK16(X1),sK17(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_75,plain,
( ~ r1(X0,X1)
| ~ sP3(X0)
| r1(X1,sK16(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_84,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| p2(sK22(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_85,plain,
( ~ r1(X0,X1)
| ~ p2(sK23(X1))
| ~ sP1(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_86,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| r1(sK22(X1),sK23(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f125]) ).
cnf(c_87,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| r1(X1,sK22(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_88,plain,
( ~ r1(sK25(X0),X1)
| ~ r1(X1,X2)
| ~ p2(X1)
| ~ sP1(X0)
| p2(X2) ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_89,plain,
( ~ p2(sK25(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_90,plain,
( ~ sP1(X0)
| r1(sK24(X0),sK25(X0)) ),
inference(cnf_transformation,[],[f121]) ).
cnf(c_91,plain,
( ~ sP1(X0)
| r1(X0,sK24(X0)) ),
inference(cnf_transformation,[],[f120]) ).
cnf(c_92,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP0(X2)
| p2(sK26(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_93,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ p2(sK27(X1))
| ~ sP0(X2)
| p2(X1) ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_94,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP0(X2)
| r1(sK26(X1),sK27(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_95,plain,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ sP0(X2)
| r1(X1,sK26(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f128]) ).
cnf(c_96,negated_conjecture,
( ~ r1(sK29(X0),X1)
| ~ r1(X1,X2)
| ~ r1(sK28,X0)
| ~ p2(X1)
| p2(X0)
| p2(X2) ),
inference(cnf_transformation,[],[f182]) ).
cnf(c_97,negated_conjecture,
( ~ r1(sK28,X0)
| ~ p2(sK29(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_98,negated_conjecture,
( ~ r1(sK28,X0)
| r1(X0,sK29(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_124,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(sK40,X2)
| ~ p2(X0)
| p2(X1)
| sP4(X2)
| sP3(X2)
| sP5(sK28) ),
inference(cnf_transformation,[],[f154]) ).
cnf(c_125,negated_conjecture,
( ~ r1(sK40,X0)
| ~ p2(X0)
| sP4(X0)
| sP3(X0)
| sP5(sK28) ),
inference(cnf_transformation,[],[f153]) ).
cnf(c_126,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK40,X0)
| ~ p2(X0)
| p2(X1)
| sP5(sK28)
| sP1(sK40) ),
inference(cnf_transformation,[],[f152]) ).
cnf(c_127,negated_conjecture,
( ~ p2(sK40)
| sP5(sK28)
| sP1(sK40) ),
inference(cnf_transformation,[],[f151]) ).
cnf(c_128,negated_conjecture,
( r1(sK28,sK40)
| sP5(sK28) ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_135,negated_conjecture,
( ~ r1(sK28,X0)
| p2(sK44(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f143]) ).
cnf(c_136,negated_conjecture,
( ~ r1(sK28,X0)
| ~ p2(sK45(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_137,negated_conjecture,
( ~ r1(sK28,X0)
| r1(sK44(X0),sK45(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_138,negated_conjecture,
( ~ r1(sK28,X0)
| r1(X0,sK44(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_139,negated_conjecture,
~ p2(sK46),
inference(cnf_transformation,[],[f139]) ).
cnf(c_140,negated_conjecture,
r1(sK28,sK46),
inference(cnf_transformation,[],[f138]) ).
cnf(c_160,plain,
( ~ sP5(sK28)
| r1(sK28,sK12(sK28))
| sP0(sK28) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_161,plain,
( ~ p2(sK12(sK28))
| ~ sP5(sK28)
| sP0(sK28) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_7679,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK40,X0)
| ~ p2(X0)
| p2(X1)
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_126]) ).
cnf(c_7680,negated_conjecture,
( sP5(sK28)
| sP1(sK40)
| sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_126]) ).
cnf(c_7701,plain,
( ~ r1(sK28,sK12(X0))
| p2(sK44(sK12(X0)))
| p2(sK12(X0)) ),
inference(instantiation,[status(thm)],[c_135]) ).
cnf(c_7702,plain,
( ~ r1(sK28,sK12(sK28))
| p2(sK44(sK12(sK28)))
| p2(sK12(sK28)) ),
inference(instantiation,[status(thm)],[c_7701]) ).
cnf(c_7703,plain,
( ~ r1(sK28,sK12(X0))
| ~ p2(sK45(sK12(X0)))
| p2(sK12(X0)) ),
inference(instantiation,[status(thm)],[c_136]) ).
cnf(c_7704,plain,
( ~ r1(sK28,sK12(sK28))
| ~ p2(sK45(sK12(sK28)))
| p2(sK12(sK28)) ),
inference(instantiation,[status(thm)],[c_7703]) ).
cnf(c_7705,plain,
( ~ r1(sK28,sK12(X0))
| r1(sK44(sK12(X0)),sK45(sK12(X0)))
| p2(sK12(X0)) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_7706,plain,
( ~ r1(sK28,sK12(sK28))
| r1(sK44(sK12(sK28)),sK45(sK12(sK28)))
| p2(sK12(sK28)) ),
inference(instantiation,[status(thm)],[c_7705]) ).
cnf(c_7707,plain,
( ~ r1(sK28,sK12(X0))
| r1(sK12(X0),sK44(sK12(X0)))
| p2(sK12(X0)) ),
inference(instantiation,[status(thm)],[c_138]) ).
cnf(c_7708,plain,
( ~ r1(sK28,sK12(sK28))
| r1(sK12(sK28),sK44(sK12(sK28)))
| p2(sK12(sK28)) ),
inference(instantiation,[status(thm)],[c_7707]) ).
cnf(c_7727,plain,
( ~ r1(sK28,sK46)
| r1(sK46,sK29(sK46))
| p2(sK46) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_7728,plain,
( ~ r1(sK28,sK46)
| ~ p2(sK29(sK46))
| p2(sK46) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_7736,plain,
( ~ r1(sK46,X0)
| ~ r1(sK28,sK46)
| ~ sP0(sK28)
| r1(X0,sK26(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_95]) ).
cnf(c_7737,plain,
( ~ r1(sK46,X0)
| ~ r1(sK28,sK46)
| ~ sP0(sK28)
| r1(sK26(X0),sK27(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_7738,plain,
( ~ r1(sK46,X0)
| ~ p2(sK27(X0))
| ~ r1(sK28,sK46)
| ~ sP0(sK28)
| p2(X0) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_7739,plain,
( ~ r1(sK46,X0)
| ~ r1(sK28,sK46)
| ~ sP0(sK28)
| p2(sK26(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_7848,plain,
( ~ r1(sK12(X0),sK44(sK12(X0)))
| ~ r1(sK44(sK12(X0)),X1)
| ~ p2(sK44(sK12(X0)))
| ~ sP5(X0)
| p2(X1)
| sP0(X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_7870,plain,
( ~ r1(sK46,sK29(sK46))
| ~ r1(sK28,sK46)
| ~ sP0(sK28)
| p2(sK26(sK29(sK46)))
| p2(sK29(sK46)) ),
inference(instantiation,[status(thm)],[c_7739]) ).
cnf(c_7871,plain,
( ~ r1(sK46,sK29(sK46))
| ~ p2(sK27(sK29(sK46)))
| ~ r1(sK28,sK46)
| ~ sP0(sK28)
| p2(sK29(sK46)) ),
inference(instantiation,[status(thm)],[c_7738]) ).
cnf(c_7872,plain,
( ~ r1(sK46,sK29(sK46))
| ~ r1(sK28,sK46)
| ~ sP0(sK28)
| r1(sK26(sK29(sK46)),sK27(sK29(sK46)))
| p2(sK29(sK46)) ),
inference(instantiation,[status(thm)],[c_7737]) ).
cnf(c_7873,plain,
( ~ r1(sK46,sK29(sK46))
| ~ r1(sK28,sK46)
| ~ sP0(sK28)
| r1(sK29(sK46),sK26(sK29(sK46)))
| p2(sK29(sK46)) ),
inference(instantiation,[status(thm)],[c_7736]) ).
cnf(c_7882,plain,
( ~ r1(sK44(sK12(X0)),sK45(sK12(X0)))
| ~ r1(sK12(X0),sK44(sK12(X0)))
| ~ p2(sK44(sK12(X0)))
| ~ sP5(X0)
| p2(sK45(sK12(X0)))
| sP0(X0) ),
inference(instantiation,[status(thm)],[c_7848]) ).
cnf(c_7883,plain,
( ~ r1(sK44(sK12(sK28)),sK45(sK12(sK28)))
| ~ r1(sK12(sK28),sK44(sK12(sK28)))
| ~ p2(sK44(sK12(sK28)))
| ~ sP5(sK28)
| p2(sK45(sK12(sK28)))
| sP0(sK28) ),
inference(instantiation,[status(thm)],[c_7882]) ).
cnf(c_7892,plain,
( ~ r1(sK29(sK46),sK26(sK29(sK46)))
| ~ r1(sK26(sK29(sK46)),X0)
| ~ p2(sK26(sK29(sK46)))
| ~ r1(sK28,sK46)
| p2(X0)
| p2(sK46) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_7965,plain,
( p2(sK44(sK40))
| p2(sK40)
| sP5(sK28) ),
inference(superposition,[status(thm)],[c_128,c_135]) ).
cnf(c_8189,plain,
( ~ p2(sK45(sK40))
| p2(sK40)
| sP5(sK28) ),
inference(superposition,[status(thm)],[c_128,c_136]) ).
cnf(c_8238,plain,
( ~ r1(sK26(sK29(sK46)),sK27(sK29(sK46)))
| ~ r1(sK29(sK46),sK26(sK29(sK46)))
| ~ p2(sK26(sK29(sK46)))
| ~ r1(sK28,sK46)
| p2(sK27(sK29(sK46)))
| p2(sK46) ),
inference(instantiation,[status(thm)],[c_7892]) ).
cnf(c_8256,plain,
( ~ r1(sK44(X0),X1)
| ~ r1(sK40,sK44(X0))
| ~ p2(sK44(X0))
| ~ sP0_iProver_split
| p2(X1) ),
inference(instantiation,[status(thm)],[c_7679]) ).
cnf(c_8288,plain,
( ~ r1(sK44(sK40),X0)
| ~ r1(sK40,sK44(sK40))
| ~ p2(sK44(sK40))
| ~ sP0_iProver_split
| p2(X0) ),
inference(instantiation,[status(thm)],[c_8256]) ).
cnf(c_8334,plain,
( ~ r1(sK28,sK40)
| r1(sK40,sK44(sK40))
| p2(sK40) ),
inference(instantiation,[status(thm)],[c_138]) ).
cnf(c_8416,plain,
( ~ r1(sK44(sK40),sK45(sK40))
| ~ r1(sK40,sK44(sK40))
| ~ p2(sK44(sK40))
| ~ sP0_iProver_split
| p2(sK45(sK40)) ),
inference(instantiation,[status(thm)],[c_8288]) ).
cnf(c_8434,plain,
( ~ r1(sK28,sK40)
| r1(sK44(sK40),sK45(sK40))
| p2(sK40) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_8450,plain,
( ~ sP1(sK40)
| r1(sK40,sK24(sK40)) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_8451,plain,
( ~ sP1(sK40)
| r1(sK24(sK40),sK25(sK40)) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_8452,plain,
( ~ p2(sK25(sK40))
| ~ sP1(sK40) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_8453,plain,
( ~ r1(sK25(sK40),X0)
| ~ r1(X0,X1)
| ~ p2(X0)
| ~ sP1(sK40)
| p2(X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_8454,plain,
( ~ r1(sK40,X0)
| ~ sP1(sK40)
| r1(X0,sK22(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_8455,plain,
( ~ r1(sK40,X0)
| ~ sP1(sK40)
| r1(sK22(X0),sK23(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_8456,plain,
( ~ r1(sK40,X0)
| ~ p2(sK23(X0))
| ~ sP1(sK40)
| p2(X0) ),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_8457,plain,
( ~ r1(sK40,X0)
| ~ sP1(sK40)
| p2(sK22(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_8510,plain,
( ~ r1(sK40,sK24(sK40))
| ~ sP1(sK40)
| p2(sK22(sK24(sK40)))
| p2(sK24(sK40)) ),
inference(instantiation,[status(thm)],[c_8457]) ).
cnf(c_8511,plain,
( ~ r1(sK40,sK24(sK40))
| ~ sP1(sK40)
| r1(sK22(sK24(sK40)),sK23(sK24(sK40)))
| p2(sK24(sK40)) ),
inference(instantiation,[status(thm)],[c_8455]) ).
cnf(c_8512,plain,
( ~ r1(sK40,sK24(sK40))
| ~ sP1(sK40)
| r1(sK24(sK40),sK22(sK24(sK40)))
| p2(sK24(sK40)) ),
inference(instantiation,[status(thm)],[c_8454]) ).
cnf(c_8565,plain,
( ~ r1(sK24(sK40),X0)
| ~ r1(sK40,sK24(sK40))
| ~ r1(X0,X1)
| ~ p2(X0)
| sP4(sK24(sK40))
| sP3(sK24(sK40))
| p2(X1)
| sP5(sK28) ),
inference(instantiation,[status(thm)],[c_124]) ).
cnf(c_8616,plain,
( ~ r1(sK24(sK40),X0)
| ~ sP4(sK24(sK40))
| r1(X0,sK13(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_8617,plain,
( ~ r1(sK24(sK40),X0)
| ~ sP4(sK24(sK40))
| r1(sK13(X0),sK14(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_8618,plain,
( ~ r1(sK24(sK40),X0)
| ~ p2(sK14(X0))
| ~ sP4(sK24(sK40))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_8619,plain,
( ~ r1(sK24(sK40),X0)
| ~ sP4(sK24(sK40))
| p2(sK13(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_8642,plain,
( ~ r1(sK24(sK40),sK25(sK40))
| ~ sP4(sK24(sK40))
| r1(sK25(sK40),sK13(sK25(sK40)))
| p2(sK25(sK40)) ),
inference(instantiation,[status(thm)],[c_8616]) ).
cnf(c_8646,plain,
( ~ r1(sK24(sK40),sK25(sK40))
| ~ sP4(sK24(sK40))
| r1(sK13(sK25(sK40)),sK14(sK25(sK40)))
| p2(sK25(sK40)) ),
inference(instantiation,[status(thm)],[c_8617]) ).
cnf(c_8651,plain,
( ~ r1(sK24(sK40),X0)
| ~ sP3(sK24(sK40))
| r1(X0,sK16(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_8652,plain,
( ~ r1(sK24(sK40),X0)
| ~ sP3(sK24(sK40))
| r1(sK16(X0),sK17(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_8653,plain,
( ~ r1(sK24(sK40),X0)
| ~ p2(sK17(X0))
| ~ sP3(sK24(sK40))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_8654,plain,
( ~ r1(sK24(sK40),X0)
| ~ sP3(sK24(sK40))
| p2(sK16(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_8668,plain,
( ~ r1(sK24(sK40),sK25(sK40))
| ~ sP3(sK24(sK40))
| r1(sK25(sK40),sK16(sK25(sK40)))
| p2(sK25(sK40)) ),
inference(instantiation,[status(thm)],[c_8651]) ).
cnf(c_8672,plain,
( ~ r1(sK24(sK40),sK25(sK40))
| ~ sP3(sK24(sK40))
| r1(sK16(sK25(sK40)),sK17(sK25(sK40)))
| p2(sK25(sK40)) ),
inference(instantiation,[status(thm)],[c_8652]) ).
cnf(c_8676,plain,
( ~ r1(sK24(sK40),sK25(sK40))
| ~ sP3(sK24(sK40))
| p2(sK16(sK25(sK40)))
| p2(sK25(sK40)) ),
inference(instantiation,[status(thm)],[c_8654]) ).
cnf(c_8702,plain,
( ~ r1(sK25(sK40),sK16(sK25(sK40)))
| ~ r1(sK16(sK25(sK40)),X0)
| ~ p2(sK16(sK25(sK40)))
| ~ sP1(sK40)
| p2(X0) ),
inference(instantiation,[status(thm)],[c_8453]) ).
cnf(c_8737,plain,
( ~ r1(sK16(sK25(sK40)),sK17(sK25(sK40)))
| ~ r1(sK25(sK40),sK16(sK25(sK40)))
| ~ p2(sK16(sK25(sK40)))
| ~ sP1(sK40)
| p2(sK17(sK25(sK40))) ),
inference(instantiation,[status(thm)],[c_8702]) ).
cnf(c_8804,plain,
( ~ r1(sK22(sK24(sK40)),sK23(sK24(sK40)))
| ~ r1(sK24(sK40),sK22(sK24(sK40)))
| ~ r1(sK40,sK24(sK40))
| ~ p2(sK22(sK24(sK40)))
| p2(sK23(sK24(sK40)))
| sP4(sK24(sK40))
| sP3(sK24(sK40))
| sP5(sK28) ),
inference(instantiation,[status(thm)],[c_8565]) ).
cnf(c_8856,plain,
( sP1(sK40)
| sP5(sK28) ),
inference(global_subsumption_just,[status(thm)],[c_7680,c_140,c_139,c_128,c_127,c_160,c_161,c_7680,c_7702,c_7704,c_7706,c_7708,c_7728,c_7727,c_7873,c_7872,c_7871,c_7870,c_7883,c_7965,c_8189,c_8238,c_8334,c_8416,c_8434]) ).
cnf(c_8857,negated_conjecture,
( sP5(sK28)
| sP1(sK40) ),
inference(renaming,[status(thm)],[c_8856]) ).
cnf(c_9030,plain,
( ~ sP5(sK28)
| p2(sK44(sK12(sK28)))
| p2(sK12(sK28))
| sP0(sK28) ),
inference(superposition,[status(thm)],[c_64,c_135]) ).
cnf(c_9051,plain,
( ~ p2(sK24(sK40))
| ~ sP1(sK40)
| sP4(sK24(sK40))
| sP3(sK24(sK40))
| sP5(sK28) ),
inference(superposition,[status(thm)],[c_91,c_125]) ).
cnf(c_9067,plain,
( ~ r1(sK40,sK24(sK40))
| ~ p2(sK23(sK24(sK40)))
| ~ sP1(sK40)
| p2(sK24(sK40)) ),
inference(instantiation,[status(thm)],[c_8456]) ).
cnf(c_9100,plain,
( ~ r1(sK24(sK40),sK25(sK40))
| ~ sP4(sK24(sK40))
| p2(sK13(sK25(sK40)))
| p2(sK25(sK40)) ),
inference(instantiation,[status(thm)],[c_8619]) ).
cnf(c_9180,plain,
( ~ r1(sK25(sK40),sK13(sK25(sK40)))
| ~ r1(sK13(sK25(sK40)),X0)
| ~ p2(sK13(sK25(sK40)))
| ~ sP1(sK40)
| p2(X0) ),
inference(instantiation,[status(thm)],[c_8453]) ).
cnf(c_9207,plain,
( ~ r1(sK13(sK25(sK40)),sK14(sK25(sK40)))
| ~ r1(sK25(sK40),sK13(sK25(sK40)))
| ~ p2(sK13(sK25(sK40)))
| ~ sP1(sK40)
| p2(sK14(sK25(sK40))) ),
inference(instantiation,[status(thm)],[c_9180]) ).
cnf(c_9215,plain,
( ~ r1(sK24(sK40),sK25(sK40))
| ~ p2(sK14(sK25(sK40)))
| ~ sP4(sK24(sK40))
| p2(sK25(sK40)) ),
inference(instantiation,[status(thm)],[c_8618]) ).
cnf(c_9255,plain,
( ~ r1(sK24(sK40),sK25(sK40))
| ~ p2(sK17(sK25(sK40)))
| ~ sP3(sK24(sK40))
| p2(sK25(sK40)) ),
inference(instantiation,[status(thm)],[c_8653]) ).
cnf(c_9257,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9255,c_9215,c_9207,c_9100,c_9067,c_9051,c_9030,c_8857,c_8804,c_8737,c_8676,c_8672,c_8668,c_8646,c_8642,c_8510,c_8511,c_8512,c_8450,c_8451,c_8452,c_8238,c_7883,c_7870,c_7871,c_7872,c_7873,c_7727,c_7728,c_7708,c_7706,c_7704,c_161,c_160,c_139,c_140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL642+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n022.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Aug 24 23:53:10 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.90/1.11 % SZS status Started for theBenchmark.p
% 3.90/1.11 % SZS status Theorem for theBenchmark.p
% 3.90/1.11
% 3.90/1.11 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.90/1.11
% 3.90/1.11 ------ iProver source info
% 3.90/1.11
% 3.90/1.11 git: date: 2023-05-31 18:12:56 +0000
% 3.90/1.11 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.90/1.11 git: non_committed_changes: false
% 3.90/1.11 git: last_make_outside_of_git: false
% 3.90/1.11
% 3.90/1.11 ------ Parsing...
% 3.90/1.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.90/1.11
% 3.90/1.11 ------ Preprocessing... sf_s rm: 33 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 3.90/1.11
% 3.90/1.11 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.90/1.11 ------ Proving...
% 3.90/1.11 ------ Problem Properties
% 3.90/1.11
% 3.90/1.11
% 3.90/1.11 clauses 67
% 3.90/1.11 conjectures 29
% 3.90/1.11 EPR 16
% 3.90/1.11 Horn 28
% 3.90/1.11 unary 6
% 3.90/1.11 binary 8
% 3.90/1.11 lits 237
% 3.90/1.11 lits eq 0
% 3.90/1.11 fd_pure 0
% 3.90/1.11 fd_pseudo 0
% 3.90/1.11 fd_cond 0
% 3.90/1.11 fd_pseudo_cond 0
% 3.90/1.11 AC symbols 0
% 3.90/1.11
% 3.90/1.11 ------ Input Options Time Limit: Unbounded
% 3.90/1.11
% 3.90/1.11
% 3.90/1.11 ------
% 3.90/1.11 Current options:
% 3.90/1.11 ------
% 3.90/1.11
% 3.90/1.11
% 3.90/1.11
% 3.90/1.11
% 3.90/1.11 ------ Proving...
% 3.90/1.11
% 3.90/1.11
% 3.90/1.11 % SZS status Theorem for theBenchmark.p
% 3.90/1.11
% 3.90/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.90/1.11
% 3.90/1.12
%------------------------------------------------------------------------------