TSTP Solution File: LCL676+1.001 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL676+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 07:49:33 EDT 2023
% Result : Theorem 17.17s 3.19s
% Output : CNFRefutation 17.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 28
% Syntax : Number of formulae : 143 ( 2 unt; 0 def)
% Number of atoms : 1608 ( 0 equ)
% Maximal formula atoms : 123 ( 11 avg)
% Number of connectives : 2500 (1035 ~;1024 |; 422 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 2 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-1 aty)
% Number of variables : 745 ( 0 sgn; 481 !; 186 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2] :
( ( r1(X1,X2)
& r1(X0,X1) )
=> r1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p4(X0)
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p4(X0)
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) ) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ( ~ ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| p2(X6) )
& ( ~ ! [X9] :
( ~ ! [X10] :
( ~ p2(X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
| ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X6,X12) ) ) )
| ! [X16] :
( ( ( ~ ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| p2(X16) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| p2(X19)
| ~ r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
| ( ( ~ ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
| p2(X5) )
& ( ~ ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
| ! [X31] :
( ! [X32] :
( ~ ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| p2(X32)
| ~ r1(X31,X32) )
| ~ r1(X5,X31) ) ) )
| ~ r1(X0,X5) )
| ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X0,X35) )
| p2(X0) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) ) )
| ~ ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
| ! [X47] :
( p1(X47)
| ~ r1(X0,X47) )
| ( ( ~ ! [X48] :
( ~ ! [X49] :
( ~ p2(X49)
| ! [X50] :
( p2(X50)
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
| ! [X51] :
( p2(X51)
| ~ r1(X0,X51) ) )
& ~ ! [X52] :
( ~ ! [X53] :
( ~ p3(X53)
| ~ r1(X52,X53) )
| ~ r1(X0,X52) ) )
| ~ ! [X54] :
( ~ ! [X55] :
( ~ p4(X55)
| ! [X56] :
( p4(X56)
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
| ! [X57] :
( p4(X57)
| ~ r1(X0,X57) )
| ( ( ~ ! [X58] :
( ~ ! [X59] :
( ~ p2(X59)
| ! [X60] :
( p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
| ! [X61] :
( p2(X61)
| ~ r1(X0,X61) ) )
& ! [X62] :
( ! [X63] :
( ~ ! [X64] :
( ~ p3(X64)
| ~ r1(X63,X64) )
| ~ r1(X62,X63) )
| p1(X62)
| ~ r1(X0,X62) ) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ( ~ ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| p2(X6) )
& ( ~ ! [X9] :
( ~ ! [X10] :
( ~ p2(X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
| ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X6,X12) ) ) )
| ! [X16] :
( ( ( ~ ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| p2(X16) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| p2(X19)
| ~ r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
| ( ( ~ ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
| p2(X5) )
& ( ~ ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
| ! [X31] :
( ! [X32] :
( ~ ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| p2(X32)
| ~ r1(X31,X32) )
| ~ r1(X5,X31) ) ) )
| ~ r1(X0,X5) )
| ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X0,X35) )
| p2(X0) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) ) )
| ~ ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
| ! [X47] :
( p1(X47)
| ~ r1(X0,X47) )
| ( ( ~ ! [X48] :
( ~ ! [X49] :
( ~ p2(X49)
| ! [X50] :
( p2(X50)
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
| ! [X51] :
( p2(X51)
| ~ r1(X0,X51) ) )
& ~ ! [X52] :
( ~ ! [X53] :
( ~ p3(X53)
| ~ r1(X52,X53) )
| ~ r1(X0,X52) ) )
| ~ ! [X54] :
( ~ ! [X55] :
( ~ p4(X55)
| ! [X56] :
( p4(X56)
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
| ! [X57] :
( p4(X57)
| ~ r1(X0,X57) )
| ( ( ~ ! [X58] :
( ~ ! [X59] :
( ~ p2(X59)
| ! [X60] :
( p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
| ! [X61] :
( p2(X61)
| ~ r1(X0,X61) ) )
& ! [X62] :
( ! [X63] :
( ~ ! [X64] :
( ~ p3(X64)
| ~ r1(X63,X64) )
| ~ r1(X62,X63) )
| p1(X62)
| ~ r1(X0,X62) ) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f8,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(flattening,[],[f7]) ).
fof(f9,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| ( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
& ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) ) )
| ! [X16] :
( ( ( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16) )
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
& ( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| ( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
& ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) ) ) )
& r1(X0,X5) )
| ( ( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ( ( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ! [X52] :
( ? [X53] :
( p3(X53)
& r1(X52,X53) )
| ~ r1(X0,X52) ) )
& ! [X54] :
( ? [X55] :
( p4(X55)
& ? [X56] :
( ~ p4(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
& ? [X57] :
( ~ p4(X57)
& r1(X0,X57) )
& ( ( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
& ? [X61] :
( ~ p2(X61)
& r1(X0,X61) ) )
| ? [X62] :
( ? [X63] :
( ! [X64] :
( ~ p3(X64)
| ~ r1(X63,X64) )
& r1(X62,X63) )
& ~ p1(X62)
& r1(X0,X62) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f10,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| ( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
& ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) ) )
| ! [X16] :
( ( ( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16) )
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
& ( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| ( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
& ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) ) ) )
& r1(X0,X5) )
| ( ( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ( ( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ! [X52] :
( ? [X53] :
( p3(X53)
& r1(X52,X53) )
| ~ r1(X0,X52) ) )
& ! [X54] :
( ? [X55] :
( p4(X55)
& ? [X56] :
( ~ p4(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
& ? [X57] :
( ~ p4(X57)
& r1(X0,X57) )
& ( ( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
& ? [X61] :
( ~ p2(X61)
& r1(X0,X61) ) )
| ? [X62] :
( ? [X63] :
( ! [X64] :
( ~ p3(X64)
| ~ r1(X63,X64) )
& r1(X62,X63) )
& ~ p1(X62)
& r1(X0,X62) ) ) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
! [X0] :
( ( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
& ? [X61] :
( ~ p2(X61)
& r1(X0,X61) ) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f12,plain,
! [X0] :
( ( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f13,plain,
! [X0] :
( ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f14,plain,
! [X5] :
( ( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
& ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) ) )
| ~ sP3(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f15,plain,
! [X16] :
( ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) )
| ~ sP4(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f16,plain,
! [X6] :
( ( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
& ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) ) )
| ~ sP5(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f17,plain,
! [X6] :
( ! [X16] :
( ( ( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16) )
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| sP4(X16) ) )
| ~ r1(X6,X16) )
| ~ sP6(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f18,plain,
! [X0] :
( ( ( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| sP2(X0) ) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f19,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP5(X6)
| sP6(X6)
| ~ r1(X5,X6) )
& ( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| sP3(X5) )
& r1(X0,X5) )
| sP7(X0) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ( sP1(X0)
| ! [X52] :
( ? [X53] :
( p3(X53)
& r1(X52,X53) )
| ~ r1(X0,X52) ) )
& ! [X54] :
( ? [X55] :
( p4(X55)
& ? [X56] :
( ~ p4(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
& ? [X57] :
( ~ p4(X57)
& r1(X0,X57) )
& ( sP0(X0)
| ? [X62] :
( ? [X63] :
( ! [X64] :
( ~ p3(X64)
| ~ r1(X63,X64) )
& r1(X62,X63) )
& ~ p1(X62)
& r1(X0,X62) ) ) ),
inference(definition_folding,[],[f10,f18,f17,f16,f15,f14,f13,f12,f11]) ).
fof(f56,plain,
! [X0] :
( ( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f12]) ).
fof(f57,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( ~ p2(X4)
& r1(X0,X4) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f56]) ).
fof(f58,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK26(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK26(X1),X3) )
& r1(X1,sK26(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK26(X1),X3) )
=> ( ~ p2(sK27(X1))
& r1(sK26(X1),sK27(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
( ? [X4] :
( ~ p2(X4)
& r1(X0,X4) )
=> ( ~ p2(sK28(X0))
& r1(X0,sK28(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK26(X1))
& ~ p2(sK27(X1))
& r1(sK26(X1),sK27(X1))
& r1(X1,sK26(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ~ p2(sK28(X0))
& r1(X0,sK28(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27,sK28])],[f57,f60,f59,f58]) ).
fof(f62,plain,
! [X0] :
( ( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
& ? [X61] :
( ~ p2(X61)
& r1(X0,X61) ) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f11]) ).
fof(f63,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( ~ p2(X4)
& r1(X0,X4) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f62]) ).
fof(f64,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK29(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK29(X1),X3) )
& r1(X1,sK29(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK29(X1),X3) )
=> ( ~ p2(sK30(X1))
& r1(sK29(X1),sK30(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0] :
( ? [X4] :
( ~ p2(X4)
& r1(X0,X4) )
=> ( ~ p2(sK31(X0))
& r1(X0,sK31(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK29(X1))
& ~ p2(sK30(X1))
& r1(sK29(X1),sK30(X1))
& r1(X1,sK29(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ~ p2(sK31(X0))
& r1(X0,sK31(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30,sK31])],[f63,f66,f65,f64]) ).
fof(f68,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP5(X6)
| sP6(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP3(X5) )
& r1(X0,X5) )
| sP7(X0) )
& ! [X11] :
( ? [X12] :
( p1(X12)
& ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& r1(X11,X12) )
| p1(X11)
| ~ r1(X0,X11) )
& ? [X14] :
( ~ p1(X14)
& r1(X0,X14) )
& ( sP1(X0)
| ! [X15] :
( ? [X16] :
( p3(X16)
& r1(X15,X16) )
| ~ r1(X0,X15) ) )
& ! [X17] :
( ? [X18] :
( p4(X18)
& ? [X19] :
( ~ p4(X19)
& r1(X18,X19) )
& r1(X17,X18) )
| p4(X17)
| ~ r1(X0,X17) )
& ? [X20] :
( ~ p4(X20)
& r1(X0,X20) )
& ( sP0(X0)
| ? [X21] :
( ? [X22] :
( ! [X23] :
( ~ p3(X23)
| ~ r1(X22,X23) )
& r1(X21,X22) )
& ~ p1(X21)
& r1(X0,X21) ) ) ),
inference(rectify,[],[f19]) ).
fof(f69,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP5(X6)
| sP6(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP3(X5) )
& r1(X0,X5) )
| sP7(X0) )
& ! [X11] :
( ? [X12] :
( p1(X12)
& ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& r1(X11,X12) )
| p1(X11)
| ~ r1(X0,X11) )
& ? [X14] :
( ~ p1(X14)
& r1(X0,X14) )
& ( sP1(X0)
| ! [X15] :
( ? [X16] :
( p3(X16)
& r1(X15,X16) )
| ~ r1(X0,X15) ) )
& ! [X17] :
( ? [X18] :
( p4(X18)
& ? [X19] :
( ~ p4(X19)
& r1(X18,X19) )
& r1(X17,X18) )
| p4(X17)
| ~ r1(X0,X17) )
& ? [X20] :
( ~ p4(X20)
& r1(X0,X20) )
& ( sP0(X0)
| ? [X21] :
( ? [X22] :
( ! [X23] :
( ~ p3(X23)
| ~ r1(X22,X23) )
& r1(X21,X22) )
& ~ p1(X21)
& r1(X0,X21) ) ) )
=> ( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(sK32,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP5(X6)
| sP6(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP3(X5) )
& r1(sK32,X5) )
| sP7(sK32) )
& ! [X11] :
( ? [X12] :
( p1(X12)
& ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& r1(X11,X12) )
| p1(X11)
| ~ r1(sK32,X11) )
& ? [X14] :
( ~ p1(X14)
& r1(sK32,X14) )
& ( sP1(sK32)
| ! [X15] :
( ? [X16] :
( p3(X16)
& r1(X15,X16) )
| ~ r1(sK32,X15) ) )
& ! [X17] :
( ? [X18] :
( p4(X18)
& ? [X19] :
( ~ p4(X19)
& r1(X18,X19) )
& r1(X17,X18) )
| p4(X17)
| ~ r1(sK32,X17) )
& ? [X20] :
( ~ p4(X20)
& r1(sK32,X20) )
& ( sP0(sK32)
| ? [X21] :
( ? [X22] :
( ! [X23] :
( ~ p3(X23)
| ~ r1(X22,X23) )
& r1(X21,X22) )
& ~ p1(X21)
& r1(sK32,X21) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f70,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(sK33(X1),X3) )
& ~ p2(sK33(X1))
& r1(X1,sK33(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP5(X6)
| sP6(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP3(X5) )
& r1(sK32,X5) )
=> ( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP5(X6)
| sP6(X6)
| ~ r1(sK34,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(sK34,X9) )
& ~ p2(sK34) )
| sP3(sK34) )
& r1(sK32,sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X11] :
( ? [X12] :
( p1(X12)
& ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& r1(X11,X12) )
=> ( p1(sK35(X11))
& ? [X13] :
( ~ p1(X13)
& r1(sK35(X11),X13) )
& r1(X11,sK35(X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X11] :
( ? [X13] :
( ~ p1(X13)
& r1(sK35(X11),X13) )
=> ( ~ p1(sK36(X11))
& r1(sK35(X11),sK36(X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
( ? [X14] :
( ~ p1(X14)
& r1(sK32,X14) )
=> ( ~ p1(sK37)
& r1(sK32,sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X15] :
( ? [X16] :
( p3(X16)
& r1(X15,X16) )
=> ( p3(sK38(X15))
& r1(X15,sK38(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X17] :
( ? [X18] :
( p4(X18)
& ? [X19] :
( ~ p4(X19)
& r1(X18,X19) )
& r1(X17,X18) )
=> ( p4(sK39(X17))
& ? [X19] :
( ~ p4(X19)
& r1(sK39(X17),X19) )
& r1(X17,sK39(X17)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X17] :
( ? [X19] :
( ~ p4(X19)
& r1(sK39(X17),X19) )
=> ( ~ p4(sK40(X17))
& r1(sK39(X17),sK40(X17)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( ? [X20] :
( ~ p4(X20)
& r1(sK32,X20) )
=> ( ~ p4(sK41)
& r1(sK32,sK41) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
( ? [X21] :
( ? [X22] :
( ! [X23] :
( ~ p3(X23)
| ~ r1(X22,X23) )
& r1(X21,X22) )
& ~ p1(X21)
& r1(sK32,X21) )
=> ( ? [X22] :
( ! [X23] :
( ~ p3(X23)
| ~ r1(X22,X23) )
& r1(sK42,X22) )
& ~ p1(sK42)
& r1(sK32,sK42) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
( ? [X22] :
( ! [X23] :
( ~ p3(X23)
| ~ r1(X22,X23) )
& r1(sK42,X22) )
=> ( ! [X23] :
( ~ p3(X23)
| ~ r1(sK43,X23) )
& r1(sK42,sK43) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK33(X1),X3) )
& ~ p2(sK33(X1))
& r1(X1,sK33(X1)) )
| p2(X1)
| ~ r1(sK32,X1) )
& ( ( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP5(X6)
| sP6(X6)
| ~ r1(sK34,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(sK34,X9) )
& ~ p2(sK34) )
| sP3(sK34) )
& r1(sK32,sK34) )
| sP7(sK32) )
& ! [X11] :
( ( p1(sK35(X11))
& ~ p1(sK36(X11))
& r1(sK35(X11),sK36(X11))
& r1(X11,sK35(X11)) )
| p1(X11)
| ~ r1(sK32,X11) )
& ~ p1(sK37)
& r1(sK32,sK37)
& ( sP1(sK32)
| ! [X15] :
( ( p3(sK38(X15))
& r1(X15,sK38(X15)) )
| ~ r1(sK32,X15) ) )
& ! [X17] :
( ( p4(sK39(X17))
& ~ p4(sK40(X17))
& r1(sK39(X17),sK40(X17))
& r1(X17,sK39(X17)) )
| p4(X17)
| ~ r1(sK32,X17) )
& ~ p4(sK41)
& r1(sK32,sK41)
& ( sP0(sK32)
| ( ! [X23] :
( ~ p3(X23)
| ~ r1(sK43,X23) )
& r1(sK42,sK43)
& ~ p1(sK42)
& r1(sK32,sK42) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43])],[f68,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69]) ).
fof(f83,plain,
! [X2,X0,X1] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f122,plain,
! [X0] :
( r1(X0,sK28(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f123,plain,
! [X0] :
( ~ p2(sK28(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f124,plain,
! [X0,X1] :
( r1(X1,sK26(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f125,plain,
! [X0,X1] :
( r1(sK26(X1),sK27(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f126,plain,
! [X0,X1] :
( ~ p2(sK27(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f127,plain,
! [X0,X1] :
( p2(sK26(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f128,plain,
! [X0] :
( r1(X0,sK31(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f129,plain,
! [X0] :
( ~ p2(sK31(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f130,plain,
! [X0,X1] :
( r1(X1,sK29(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f131,plain,
! [X0,X1] :
( r1(sK29(X1),sK30(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f132,plain,
! [X0,X1] :
( ~ p2(sK30(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f133,plain,
! [X0,X1] :
( p2(sK29(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f134,plain,
( sP0(sK32)
| r1(sK32,sK42) ),
inference(cnf_transformation,[],[f81]) ).
fof(f136,plain,
( sP0(sK32)
| r1(sK42,sK43) ),
inference(cnf_transformation,[],[f81]) ).
fof(f137,plain,
! [X23] :
( sP0(sK32)
| ~ p3(X23)
| ~ r1(sK43,X23) ),
inference(cnf_transformation,[],[f81]) ).
fof(f144,plain,
! [X15] :
( sP1(sK32)
| r1(X15,sK38(X15))
| ~ r1(sK32,X15) ),
inference(cnf_transformation,[],[f81]) ).
fof(f145,plain,
! [X15] :
( sP1(sK32)
| p3(sK38(X15))
| ~ r1(sK32,X15) ),
inference(cnf_transformation,[],[f81]) ).
fof(f157,plain,
! [X1] :
( r1(X1,sK33(X1))
| p2(X1)
| ~ r1(sK32,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f158,plain,
! [X1] :
( ~ p2(sK33(X1))
| p2(X1)
| ~ r1(sK32,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f159,plain,
! [X3,X1,X4] :
( ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK33(X1),X3)
| p2(X1)
| ~ r1(sK32,X1) ),
inference(cnf_transformation,[],[f81]) ).
cnf(c_50,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| r1(X0,X2) ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_89,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| p2(sK26(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_90,plain,
( ~ r1(X0,X1)
| ~ p2(sK27(X1))
| ~ sP1(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_91,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| r1(sK26(X1),sK27(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f125]) ).
cnf(c_92,plain,
( ~ r1(X0,X1)
| ~ sP1(X0)
| r1(X1,sK26(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_93,plain,
( ~ p2(sK28(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_94,plain,
( ~ sP1(X0)
| r1(X0,sK28(X0)) ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_95,plain,
( ~ r1(X0,X1)
| ~ sP0(X0)
| p2(sK29(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_96,plain,
( ~ r1(X0,X1)
| ~ p2(sK30(X1))
| ~ sP0(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_97,plain,
( ~ r1(X0,X1)
| ~ sP0(X0)
| r1(sK29(X1),sK30(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_98,plain,
( ~ r1(X0,X1)
| ~ sP0(X0)
| r1(X1,sK29(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_99,plain,
( ~ p2(sK31(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_100,plain,
( ~ sP0(X0)
| r1(X0,sK31(X0)) ),
inference(cnf_transformation,[],[f128]) ).
cnf(c_101,negated_conjecture,
( ~ r1(sK33(X0),X1)
| ~ r1(X1,X2)
| ~ r1(sK32,X0)
| ~ p2(X1)
| p2(X0)
| p2(X2) ),
inference(cnf_transformation,[],[f159]) ).
cnf(c_102,negated_conjecture,
( ~ r1(sK32,X0)
| ~ p2(sK33(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f158]) ).
cnf(c_103,negated_conjecture,
( ~ r1(sK32,X0)
| r1(X0,sK33(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_115,negated_conjecture,
( ~ r1(sK32,X0)
| p3(sK38(X0))
| sP1(sK32) ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_116,negated_conjecture,
( ~ r1(sK32,X0)
| r1(X0,sK38(X0))
| sP1(sK32) ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_123,negated_conjecture,
( ~ r1(sK43,X0)
| ~ p3(X0)
| sP0(sK32) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_124,negated_conjecture,
( r1(sK42,sK43)
| sP0(sK32) ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_126,negated_conjecture,
( r1(sK32,sK42)
| sP0(sK32) ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_128,plain,
( ~ sP0(sK32)
| r1(sK32,sK31(sK32)) ),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_129,plain,
( ~ p2(sK31(sK32))
| ~ sP0(sK32) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_130,plain,
( ~ sP1(sK32)
| r1(sK32,sK28(sK32)) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_131,plain,
( ~ p2(sK28(sK32))
| ~ sP1(sK32) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_732,plain,
( ~ r1(sK43,sK38(X0))
| ~ r1(sK32,X0)
| sP1(sK32)
| sP0(sK32) ),
inference(resolution,[status(thm)],[c_115,c_123]) ).
cnf(c_8689,plain,
( ~ r1(sK43,sK38(X0))
| ~ r1(sK32,X0)
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_732]) ).
cnf(c_8690,plain,
( sP1(sK32)
| sP0(sK32)
| sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_732]) ).
cnf(c_8727,plain,
( ~ r1(sK32,sK28(X0))
| ~ p2(sK33(sK28(X0)))
| p2(sK28(X0)) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_8728,plain,
( ~ r1(sK32,sK28(sK32))
| ~ p2(sK33(sK28(sK32)))
| p2(sK28(sK32)) ),
inference(instantiation,[status(thm)],[c_8727]) ).
cnf(c_8735,plain,
( ~ r1(sK32,sK28(X0))
| r1(sK28(X0),sK33(sK28(X0)))
| p2(sK28(X0)) ),
inference(instantiation,[status(thm)],[c_103]) ).
cnf(c_8736,plain,
( ~ r1(sK32,sK28(sK32))
| r1(sK28(sK32),sK33(sK28(sK32)))
| p2(sK28(sK32)) ),
inference(instantiation,[status(thm)],[c_8735]) ).
cnf(c_8751,plain,
( ~ r1(sK43,sK38(sK43))
| ~ r1(sK32,sK43)
| ~ sP0_iProver_split ),
inference(instantiation,[status(thm)],[c_8689]) ).
cnf(c_8752,plain,
( ~ r1(sK32,sK43)
| r1(sK43,sK38(sK43))
| sP1(sK32) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_8775,plain,
( ~ r1(sK42,X0)
| ~ r1(sK32,sK42)
| r1(sK32,X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_8907,plain,
( ~ r1(sK32,sK42)
| ~ r1(sK42,sK43)
| r1(sK32,sK43) ),
inference(instantiation,[status(thm)],[c_8775]) ).
cnf(c_9128,plain,
( ~ r1(sK33(sK31(X0)),X1)
| ~ r1(sK32,sK31(X0))
| ~ r1(X1,X2)
| ~ p2(X1)
| p2(sK31(X0))
| p2(X2) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_9149,plain,
( ~ r1(sK32,sK31(X0))
| ~ p2(sK33(sK31(X0)))
| p2(sK31(X0)) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_9150,plain,
( ~ r1(sK32,sK31(sK32))
| ~ p2(sK33(sK31(sK32)))
| p2(sK31(sK32)) ),
inference(instantiation,[status(thm)],[c_9149]) ).
cnf(c_9158,plain,
( ~ r1(sK32,sK31(X0))
| r1(sK31(X0),sK33(sK31(X0)))
| p2(sK31(X0)) ),
inference(instantiation,[status(thm)],[c_103]) ).
cnf(c_9159,plain,
( ~ r1(sK32,sK31(sK32))
| r1(sK31(sK32),sK33(sK31(sK32)))
| p2(sK31(sK32)) ),
inference(instantiation,[status(thm)],[c_9158]) ).
cnf(c_9280,plain,
( ~ r1(sK33(sK31(X0)),X1)
| ~ r1(X1,sK30(X2))
| ~ r1(sK32,sK31(X0))
| ~ p2(X1)
| p2(sK30(X2))
| p2(sK31(X0)) ),
inference(instantiation,[status(thm)],[c_9128]) ).
cnf(c_9800,plain,
( ~ r1(X0,sK33(sK31(X1)))
| ~ sP0(X0)
| r1(sK29(sK33(sK31(X1))),sK30(sK33(sK31(X1))))
| p2(sK33(sK31(X1))) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_9801,plain,
( ~ r1(sK32,sK33(sK31(sK32)))
| ~ sP0(sK32)
| r1(sK29(sK33(sK31(sK32))),sK30(sK33(sK31(sK32))))
| p2(sK33(sK31(sK32))) ),
inference(instantiation,[status(thm)],[c_9800]) ).
cnf(c_9855,plain,
( ~ r1(X0,sK33(sK31(X1)))
| ~ sP0(X0)
| r1(sK33(sK31(X1)),sK29(sK33(sK31(X1))))
| p2(sK33(sK31(X1))) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_9856,plain,
( ~ r1(sK32,sK33(sK31(sK32)))
| ~ sP0(sK32)
| r1(sK33(sK31(sK32)),sK29(sK33(sK31(sK32))))
| p2(sK33(sK31(sK32))) ),
inference(instantiation,[status(thm)],[c_9855]) ).
cnf(c_9869,plain,
( sP0(sK32)
| sP1(sK32) ),
inference(global_subsumption_just,[status(thm)],[c_8690,c_126,c_124,c_8690,c_8751,c_8752,c_8907]) ).
cnf(c_9870,plain,
( sP1(sK32)
| sP0(sK32) ),
inference(renaming,[status(thm)],[c_9869]) ).
cnf(c_9880,plain,
( ~ r1(X0,sK33(sK31(X1)))
| ~ sP0(X0)
| p2(sK29(sK33(sK31(X1))))
| p2(sK33(sK31(X1))) ),
inference(instantiation,[status(thm)],[c_95]) ).
cnf(c_9881,plain,
( ~ r1(sK32,sK33(sK31(sK32)))
| ~ sP0(sK32)
| p2(sK29(sK33(sK31(sK32))))
| p2(sK33(sK31(sK32))) ),
inference(instantiation,[status(thm)],[c_9880]) ).
cnf(c_9946,plain,
( ~ r1(X0,sK33(sK31(X1)))
| ~ r1(sK32,X0)
| r1(sK32,sK33(sK31(X1))) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_10490,plain,
( ~ r1(sK31(X0),sK33(sK31(X0)))
| ~ r1(sK32,sK31(X0))
| r1(sK32,sK33(sK31(X0))) ),
inference(instantiation,[status(thm)],[c_9946]) ).
cnf(c_10491,plain,
( ~ r1(sK31(sK32),sK33(sK31(sK32)))
| ~ r1(sK32,sK31(sK32))
| r1(sK32,sK33(sK31(sK32))) ),
inference(instantiation,[status(thm)],[c_10490]) ).
cnf(c_10929,plain,
( ~ r1(sK33(sK31(X0)),sK29(sK33(sK31(X0))))
| ~ r1(sK29(sK33(sK31(X0))),sK30(X1))
| ~ p2(sK29(sK33(sK31(X0))))
| ~ r1(sK32,sK31(X0))
| p2(sK30(X1))
| p2(sK31(X0)) ),
inference(instantiation,[status(thm)],[c_9280]) ).
cnf(c_11489,plain,
( sP0(sK32)
| sP1(sK32) ),
inference(global_subsumption_just,[status(thm)],[c_8690,c_9870]) ).
cnf(c_11490,plain,
( sP1(sK32)
| sP0(sK32) ),
inference(renaming,[status(thm)],[c_11489]) ).
cnf(c_13846,plain,
( ~ r1(sK29(sK33(sK31(X0))),sK30(sK33(sK31(X0))))
| ~ r1(sK33(sK31(X0)),sK29(sK33(sK31(X0))))
| ~ p2(sK29(sK33(sK31(X0))))
| ~ r1(sK32,sK31(X0))
| p2(sK30(sK33(sK31(X0))))
| p2(sK31(X0)) ),
inference(instantiation,[status(thm)],[c_10929]) ).
cnf(c_13847,plain,
( ~ r1(sK29(sK33(sK31(sK32))),sK30(sK33(sK31(sK32))))
| ~ r1(sK33(sK31(sK32)),sK29(sK33(sK31(sK32))))
| ~ p2(sK29(sK33(sK31(sK32))))
| ~ r1(sK32,sK31(sK32))
| p2(sK30(sK33(sK31(sK32))))
| p2(sK31(sK32)) ),
inference(instantiation,[status(thm)],[c_13846]) ).
cnf(c_13973,plain,
( ~ r1(X0,sK33(sK31(X1)))
| ~ p2(sK30(sK33(sK31(X1))))
| ~ sP0(X0)
| p2(sK33(sK31(X1))) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_13974,plain,
( ~ r1(sK32,sK33(sK31(sK32)))
| ~ p2(sK30(sK33(sK31(sK32))))
| ~ sP0(sK32)
| p2(sK33(sK31(sK32))) ),
inference(instantiation,[status(thm)],[c_13973]) ).
cnf(c_14257,plain,
sP1(sK32),
inference(global_subsumption_just,[status(thm)],[c_11490,c_128,c_129,c_9150,c_9159,c_9801,c_9856,c_9870,c_9881,c_10491,c_13847,c_13974]) ).
cnf(c_16007,plain,
( ~ r1(sK33(sK28(X0)),X1)
| ~ r1(sK32,sK28(X0))
| ~ r1(X1,X2)
| ~ p2(X1)
| p2(sK28(X0))
| p2(X2) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_16157,plain,
( ~ r1(sK33(sK28(X0)),X1)
| ~ r1(X1,sK27(X2))
| ~ r1(sK32,sK28(X0))
| ~ p2(X1)
| p2(sK27(X2))
| p2(sK28(X0)) ),
inference(instantiation,[status(thm)],[c_16007]) ).
cnf(c_16830,plain,
( ~ r1(X0,sK33(sK28(X1)))
| ~ sP1(X0)
| r1(sK26(sK33(sK28(X1))),sK27(sK33(sK28(X1))))
| p2(sK33(sK28(X1))) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_16831,plain,
( ~ r1(sK32,sK33(sK28(sK32)))
| ~ sP1(sK32)
| r1(sK26(sK33(sK28(sK32))),sK27(sK33(sK28(sK32))))
| p2(sK33(sK28(sK32))) ),
inference(instantiation,[status(thm)],[c_16830]) ).
cnf(c_16867,plain,
( ~ r1(X0,sK33(sK28(X1)))
| ~ sP1(X0)
| r1(sK33(sK28(X1)),sK26(sK33(sK28(X1))))
| p2(sK33(sK28(X1))) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_16868,plain,
( ~ r1(sK32,sK33(sK28(sK32)))
| ~ sP1(sK32)
| r1(sK33(sK28(sK32)),sK26(sK33(sK28(sK32))))
| p2(sK33(sK28(sK32))) ),
inference(instantiation,[status(thm)],[c_16867]) ).
cnf(c_16879,plain,
( ~ r1(X0,sK33(sK28(X1)))
| ~ sP1(X0)
| p2(sK26(sK33(sK28(X1))))
| p2(sK33(sK28(X1))) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_16880,plain,
( ~ r1(sK32,sK33(sK28(sK32)))
| ~ sP1(sK32)
| p2(sK26(sK33(sK28(sK32))))
| p2(sK33(sK28(sK32))) ),
inference(instantiation,[status(thm)],[c_16879]) ).
cnf(c_16927,plain,
( ~ r1(X0,sK33(sK28(X1)))
| ~ r1(sK32,X0)
| r1(sK32,sK33(sK28(X1))) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_17416,plain,
( ~ r1(sK28(X0),sK33(sK28(X0)))
| ~ r1(sK32,sK28(X0))
| r1(sK32,sK33(sK28(X0))) ),
inference(instantiation,[status(thm)],[c_16927]) ).
cnf(c_17417,plain,
( ~ r1(sK28(sK32),sK33(sK28(sK32)))
| ~ r1(sK32,sK28(sK32))
| r1(sK32,sK33(sK28(sK32))) ),
inference(instantiation,[status(thm)],[c_17416]) ).
cnf(c_17932,plain,
( ~ r1(sK33(sK28(X0)),sK26(sK33(sK28(X0))))
| ~ r1(sK26(sK33(sK28(X0))),sK27(X1))
| ~ p2(sK26(sK33(sK28(X0))))
| ~ r1(sK32,sK28(X0))
| p2(sK27(X1))
| p2(sK28(X0)) ),
inference(instantiation,[status(thm)],[c_16157]) ).
cnf(c_19122,plain,
( ~ r1(sK26(sK33(sK28(X0))),sK27(sK33(sK28(X0))))
| ~ r1(sK33(sK28(X0)),sK26(sK33(sK28(X0))))
| ~ p2(sK26(sK33(sK28(X0))))
| ~ r1(sK32,sK28(X0))
| p2(sK27(sK33(sK28(X0))))
| p2(sK28(X0)) ),
inference(instantiation,[status(thm)],[c_17932]) ).
cnf(c_19123,plain,
( ~ r1(sK26(sK33(sK28(sK32))),sK27(sK33(sK28(sK32))))
| ~ r1(sK33(sK28(sK32)),sK26(sK33(sK28(sK32))))
| ~ p2(sK26(sK33(sK28(sK32))))
| ~ r1(sK32,sK28(sK32))
| p2(sK27(sK33(sK28(sK32))))
| p2(sK28(sK32)) ),
inference(instantiation,[status(thm)],[c_19122]) ).
cnf(c_19282,plain,
( ~ r1(X0,sK33(sK28(X1)))
| ~ p2(sK27(sK33(sK28(X1))))
| ~ sP1(X0)
| p2(sK33(sK28(X1))) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_19283,plain,
( ~ r1(sK32,sK33(sK28(sK32)))
| ~ p2(sK27(sK33(sK28(sK32))))
| ~ sP1(sK32)
| p2(sK33(sK28(sK32))) ),
inference(instantiation,[status(thm)],[c_19282]) ).
cnf(c_19284,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_19283,c_19123,c_17417,c_16880,c_16868,c_16831,c_14257,c_8736,c_8728,c_131,c_130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL676+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 17:06:08 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 17.17/3.19 % SZS status Started for theBenchmark.p
% 17.17/3.19 % SZS status Theorem for theBenchmark.p
% 17.17/3.19
% 17.17/3.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 17.17/3.19
% 17.17/3.19 ------ iProver source info
% 17.17/3.19
% 17.17/3.19 git: date: 2023-05-31 18:12:56 +0000
% 17.17/3.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 17.17/3.19 git: non_committed_changes: false
% 17.17/3.19 git: last_make_outside_of_git: false
% 17.17/3.19
% 17.17/3.19 ------ Parsing...
% 17.17/3.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 17.17/3.19
% 17.17/3.19 ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 17.17/3.19
% 17.17/3.19 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.17/3.19 ------ Proving...
% 17.17/3.19 ------ Problem Properties
% 17.17/3.19
% 17.17/3.19
% 17.17/3.19 clauses 77
% 17.17/3.19 conjectures 23
% 17.17/3.19 EPR 16
% 17.17/3.19 Horn 34
% 17.17/3.19 unary 5
% 17.17/3.19 binary 14
% 17.17/3.19 lits 268
% 17.17/3.19 lits eq 0
% 17.17/3.19 fd_pure 0
% 17.17/3.19 fd_pseudo 0
% 17.17/3.19 fd_cond 0
% 17.17/3.19 fd_pseudo_cond 0
% 17.17/3.19 AC symbols 0
% 17.17/3.19
% 17.17/3.19 ------ Input Options Time Limit: Unbounded
% 17.17/3.19
% 17.17/3.19
% 17.17/3.19 ------
% 17.17/3.19 Current options:
% 17.17/3.19 ------
% 17.17/3.19
% 17.17/3.19
% 17.17/3.19
% 17.17/3.19
% 17.17/3.19 ------ Proving...
% 17.17/3.19
% 17.17/3.19
% 17.17/3.19 % SZS status Theorem for theBenchmark.p
% 17.17/3.19
% 17.17/3.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.17/3.19
% 17.17/3.19
%------------------------------------------------------------------------------