%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL644+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 07:45:25 EDT 2023
% Result : Theorem 0.93s 1.17s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 39
% Syntax : Number of formulae : 52 ( 5 unt; 0 def)
% Number of atoms : 2010 ( 0 equ)
% Maximal formula atoms : 225 ( 38 avg)
% Number of connectives : 2999 (1041 ~;1126 |; 819 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 33 ( 32 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-1 aty)
% Number of variables : 697 ( 0 sgn; 529 !; 168 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ( ~ ( ! [X1] :
( ~ ( p1(X1)
& ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
& p1(X1) )
| p2(X1)
| p1(X1)
| ~ ( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
& p2(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ~ ( p1(X0)
& ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& p1(X0) )
| p2(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ ( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
& p2(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ ( p1(X1)
& ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
& p1(X1) )
| p2(X1)
| ! [X0] :
( p1(X0)
| ~ ( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
& p2(X0) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ ( p1(X1)
& ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
& p1(X1) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ ( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
& p2(X1) )
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ ( p5(X1)
& ! [X0] :
( p5(X0)
| ~ r1(X1,X0) ) )
| p5(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ( p5(X1)
& ! [X0] :
( p5(X0)
| ~ r1(X1,X0) ) )
| p5(X1)
| ~ r1(X0,X1) )
| ~ ( ~ ( ! [X1] :
( ~ ( p2(X1)
& ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
& p2(X1) )
| p3(X1)
| p2(X1)
| ~ ( ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
& p3(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ~ ( p2(X0)
& ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
& p2(X0) )
| p3(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ ( ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
& p3(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ ( p2(X1)
& ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
& p2(X1) )
| p3(X1)
| ! [X0] :
( p2(X0)
| ~ ( ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
& p3(X0) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ ( p2(X1)
& ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
& p2(X1) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ ( ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
& p3(X1) )
| ~ r1(X0,X1) ) )
| ~ ( ~ ( ! [X1] :
( ~ ( p3(X1)
& ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
& p3(X1) )
| p4(X1)
| p3(X1)
| ~ ( ! [X0] :
( p4(X0)
| ~ r1(X1,X0) )
& p4(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ~ ( p3(X0)
& ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
& p3(X0) )
| p4(X0)
| ~ r1(X1,X0) )
| p3(X1)
| ~ ( ! [X0] :
( p4(X0)
| ~ r1(X1,X0) )
& p4(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ ( p3(X1)
& ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
& p3(X1) )
| p4(X1)
| ! [X0] :
( p3(X0)
| ~ ( ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
& p4(X0) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ ( p3(X1)
& ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
& p3(X1) )
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ ( ! [X0] :
( p4(X0)
| ~ r1(X1,X0) )
& p4(X1) )
| ~ r1(X0,X1) ) )
| ~ ( ~ ( ! [X1] :
( ~ ( p4(X1)
& ! [X0] :
( p4(X0)
| ~ r1(X1,X0) )
& p4(X1) )
| p5(X1)
| p4(X1)
| ~ ( ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
& p5(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ~ ( p4(X0)
& ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
& p4(X0) )
| p5(X0)
| ~ r1(X1,X0) )
| p4(X1)
| ~ ( ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
& p5(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ ( p4(X1)
& ! [X0] :
( p4(X0)
| ~ r1(X1,X0) )
& p4(X1) )
| p5(X1)
| ! [X0] :
( p4(X0)
| ~ ( ! [X1] :
( p5(X1)
| ~ r1(X0,X1) )
& p5(X0) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ ( p4(X1)
& ! [X0] :
( p4(X0)
| ~ r1(X1,X0) )
& p4(X1) )
| p5(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p4(X1)
| ~ ( ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
& p5(X1) )
| ~ r1(X0,X1) ) )
| ~ ( ~ ( ! [X1] :
( ~ ( p5(X1)
& ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
& p5(X1) )
| p6(X1)
| p5(X1)
| ~ ( ! [X0] :
( p6(X0)
| ~ r1(X1,X0) )
& p6(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ~ ( p5(X0)
& ! [X1] :
( p5(X1)
| ~ r1(X0,X1) )
& p5(X0) )
| p6(X0)
| ~ r1(X1,X0) )
| p5(X1)
| ~ ( ! [X0] :
( p6(X0)
| ~ r1(X1,X0) )
& p6(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ ( p5(X1)
& ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
& p5(X1) )
| p6(X1)
| ! [X0] :
( p5(X0)
| ~ ( ! [X1] :
( p6(X1)
| ~ r1(X0,X1) )
& p6(X0) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ ( p5(X1)
& ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
& p5(X1) )
| p6(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p5(X1)
| ~ ( ! [X0] :
( p6(X0)
| ~ r1(X1,X0) )
& p6(X1) )
| ~ r1(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ~ ( ! [X1] :
( ~ ( p1(X1)
& ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
& p1(X1) )
| p2(X1)
| p1(X1)
| ~ ( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
& p2(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ~ ( p1(X0)
& ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& p1(X0) )
| p2(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ ( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
& p2(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ ( p1(X1)
& ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
& p1(X1) )
| p2(X1)
| ! [X0] :
( p1(X0)
| ~ ( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
& p2(X0) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ ( p1(X1)
& ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
& p1(X1) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ ( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
& p2(X1) )
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ ( p5(X1)
& ! [X0] :
( p5(X0)
| ~ r1(X1,X0) ) )
| p5(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ( p5(X1)
& ! [X0] :
( p5(X0)
| ~ r1(X1,X0) ) )
| p5(X1)
| ~ r1(X0,X1) )
| ~ ( ~ ( ! [X1] :
( ~ ( p2(X1)
& ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
& p2(X1) )
| p3(X1)
| p2(X1)
| ~ ( ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
& p3(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ~ ( p2(X0)
& ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
& p2(X0) )
| p3(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ ( ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
& p3(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ ( p2(X1)
& ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
& p2(X1) )
| p3(X1)
| ! [X0] :
( p2(X0)
| ~ ( ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
& p3(X0) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ ( p2(X1)
& ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
& p2(X1) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ ( ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
& p3(X1) )
| ~ r1(X0,X1) ) )
| ~ ( ~ ( ! [X1] :
( ~ ( p3(X1)
& ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
& p3(X1) )
| p4(X1)
| p3(X1)
| ~ ( ! [X0] :
( p4(X0)
| ~ r1(X1,X0) )
& p4(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ~ ( p3(X0)
& ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
& p3(X0) )
| p4(X0)
| ~ r1(X1,X0) )
| p3(X1)
| ~ ( ! [X0] :
( p4(X0)
| ~ r1(X1,X0) )
& p4(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ ( p3(X1)
& ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
& p3(X1) )
| p4(X1)
| ! [X0] :
( p3(X0)
| ~ ( ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
& p4(X0) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ ( p3(X1)
& ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
& p3(X1) )
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ ( ! [X0] :
( p4(X0)
| ~ r1(X1,X0) )
& p4(X1) )
| ~ r1(X0,X1) ) )
| ~ ( ~ ( ! [X1] :
( ~ ( p4(X1)
& ! [X0] :
( p4(X0)
| ~ r1(X1,X0) )
& p4(X1) )
| p5(X1)
| p4(X1)
| ~ ( ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
& p5(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ~ ( p4(X0)
& ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
& p4(X0) )
| p5(X0)
| ~ r1(X1,X0) )
| p4(X1)
| ~ ( ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
& p5(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ ( p4(X1)
& ! [X0] :
( p4(X0)
| ~ r1(X1,X0) )
& p4(X1) )
| p5(X1)
| ! [X0] :
( p4(X0)
| ~ ( ! [X1] :
( p5(X1)
| ~ r1(X0,X1) )
& p5(X0) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ ( p4(X1)
& ! [X0] :
( p4(X0)
| ~ r1(X1,X0) )
& p4(X1) )
| p5(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p4(X1)
| ~ ( ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
& p5(X1) )
| ~ r1(X0,X1) ) )
| ~ ( ~ ( ! [X1] :
( ~ ( p5(X1)
& ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
& p5(X1) )
| p6(X1)
| p5(X1)
| ~ ( ! [X0] :
( p6(X0)
| ~ r1(X1,X0) )
& p6(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ! [X0] :
( ~ ( p5(X0)
& ! [X1] :
( p5(X1)
| ~ r1(X0,X1) )
& p5(X0) )
| p6(X0)
| ~ r1(X1,X0) )
| p5(X1)
| ~ ( ! [X0] :
( p6(X0)
| ~ r1(X1,X0) )
& p6(X1) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ ( p5(X1)
& ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
& p5(X1) )
| p6(X1)
| ! [X0] :
( p5(X0)
| ~ ( ! [X1] :
( p6(X1)
| ~ r1(X0,X1) )
& p6(X0) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ ( p5(X1)
& ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
& p5(X1) )
| p6(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p5(X1)
| ~ ( ! [X0] :
( p6(X0)
| ~ r1(X1,X0) )
& p6(X1) )
| ~ r1(X0,X1) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ( ~ ( ! [X1] :
( ~ ( p1(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& p1(X1) )
| p2(X1)
| p1(X1)
| ~ ( ! [X3] :
( p2(X3)
| ~ r1(X1,X3) )
& p2(X1) )
| ~ r1(X0,X1) )
& ! [X4] :
( ! [X5] :
( ~ ( p1(X5)
& ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& p1(X5) )
| p2(X5)
| ~ r1(X4,X5) )
| p1(X4)
| ~ ( ! [X7] :
( p2(X7)
| ~ r1(X4,X7) )
& p2(X4) )
| ~ r1(X0,X4) )
& ! [X8] :
( ~ ( p1(X8)
& ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
& p1(X8) )
| p2(X8)
| ! [X10] :
( p1(X10)
| ~ ( ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
& p2(X10) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) ) )
| ! [X12] :
( ~ ( p1(X12)
& ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
& p1(X12) )
| p2(X12)
| ~ r1(X0,X12) )
| ! [X14] :
( p1(X14)
| ~ ( ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
& p2(X14) )
| ~ r1(X0,X14) ) )
| ! [X16] :
( ~ ( p5(X16)
& ! [X17] :
( p5(X17)
| ~ r1(X16,X17) ) )
| p5(X16)
| ~ r1(X0,X16) )
| ! [X18] :
( ~ ( p5(X18)
& ! [X19] :
( p5(X19)
| ~ r1(X18,X19) ) )
| p5(X18)
| ~ r1(X0,X18) )
| ~ ( ~ ( ! [X20] :
( ~ ( p2(X20)
& ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
& p2(X20) )
| p3(X20)
| p2(X20)
| ~ ( ! [X22] :
( p3(X22)
| ~ r1(X20,X22) )
& p3(X20) )
| ~ r1(X0,X20) )
& ! [X23] :
( ! [X24] :
( ~ ( p2(X24)
& ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
& p2(X24) )
| p3(X24)
| ~ r1(X23,X24) )
| p2(X23)
| ~ ( ! [X26] :
( p3(X26)
| ~ r1(X23,X26) )
& p3(X23) )
| ~ r1(X0,X23) )
& ! [X27] :
( ~ ( p2(X27)
& ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
& p2(X27) )
| p3(X27)
| ! [X29] :
( p2(X29)
| ~ ( ! [X30] :
( p3(X30)
| ~ r1(X29,X30) )
& p3(X29) )
| ~ r1(X27,X29) )
| ~ r1(X0,X27) ) )
| ! [X31] :
( ~ ( p2(X31)
& ! [X32] :
( p2(X32)
| ~ r1(X31,X32) )
& p2(X31) )
| p3(X31)
| ~ r1(X0,X31) )
| ! [X33] :
( p2(X33)
| ~ ( ! [X34] :
( p3(X34)
| ~ r1(X33,X34) )
& p3(X33) )
| ~ r1(X0,X33) ) )
| ~ ( ~ ( ! [X35] :
( ~ ( p3(X35)
& ! [X36] :
( p3(X36)
| ~ r1(X35,X36) )
& p3(X35) )
| p4(X35)
| p3(X35)
| ~ ( ! [X37] :
( p4(X37)
| ~ r1(X35,X37) )
& p4(X35) )
| ~ r1(X0,X35) )
& ! [X38] :
( ! [X39] :
( ~ ( p3(X39)
& ! [X40] :
( p3(X40)
| ~ r1(X39,X40) )
& p3(X39) )
| p4(X39)
| ~ r1(X38,X39) )
| p3(X38)
| ~ ( ! [X41] :
( p4(X41)
| ~ r1(X38,X41) )
& p4(X38) )
| ~ r1(X0,X38) )
& ! [X42] :
( ~ ( p3(X42)
& ! [X43] :
( p3(X43)
| ~ r1(X42,X43) )
& p3(X42) )
| p4(X42)
| ! [X44] :
( p3(X44)
| ~ ( ! [X45] :
( p4(X45)
| ~ r1(X44,X45) )
& p4(X44) )
| ~ r1(X42,X44) )
| ~ r1(X0,X42) ) )
| ! [X46] :
( ~ ( p3(X46)
& ! [X47] :
( p3(X47)
| ~ r1(X46,X47) )
& p3(X46) )
| p4(X46)
| ~ r1(X0,X46) )
| ! [X48] :
( p3(X48)
| ~ ( ! [X49] :
( p4(X49)
| ~ r1(X48,X49) )
& p4(X48) )
| ~ r1(X0,X48) ) )
| ~ ( ~ ( ! [X50] :
( ~ ( p4(X50)
& ! [X51] :
( p4(X51)
| ~ r1(X50,X51) )
& p4(X50) )
| p5(X50)
| p4(X50)
| ~ ( ! [X52] :
( p5(X52)
| ~ r1(X50,X52) )
& p5(X50) )
| ~ r1(X0,X50) )
& ! [X53] :
( ! [X54] :
( ~ ( p4(X54)
& ! [X55] :
( p4(X55)
| ~ r1(X54,X55) )
& p4(X54) )
| p5(X54)
| ~ r1(X53,X54) )
| p4(X53)
| ~ ( ! [X56] :
( p5(X56)
| ~ r1(X53,X56) )
& p5(X53) )
| ~ r1(X0,X53) )
& ! [X57] :
( ~ ( p4(X57)
& ! [X58] :
( p4(X58)
| ~ r1(X57,X58) )
& p4(X57) )
| p5(X57)
| ! [X59] :
( p4(X59)
| ~ ( ! [X60] :
( p5(X60)
| ~ r1(X59,X60) )
& p5(X59) )
| ~ r1(X57,X59) )
| ~ r1(X0,X57) ) )
| ! [X61] :
( ~ ( p4(X61)
& ! [X62] :
( p4(X62)
| ~ r1(X61,X62) )
& p4(X61) )
| p5(X61)
| ~ r1(X0,X61) )
| ! [X63] :
( p4(X63)
| ~ ( ! [X64] :
( p5(X64)
| ~ r1(X63,X64) )
& p5(X63) )
| ~ r1(X0,X63) ) )
| ~ ( ~ ( ! [X65] :
( ~ ( p5(X65)
& ! [X66] :
( p5(X66)
| ~ r1(X65,X66) )
& p5(X65) )
| p6(X65)
| p5(X65)
| ~ ( ! [X67] :
( p6(X67)
| ~ r1(X65,X67) )
& p6(X65) )
| ~ r1(X0,X65) )
& ! [X68] :
( ! [X69] :
( ~ ( p5(X69)
& ! [X70] :
( p5(X70)
| ~ r1(X69,X70) )
& p5(X69) )
| p6(X69)
| ~ r1(X68,X69) )
| p5(X68)
| ~ ( ! [X71] :
( p6(X71)
| ~ r1(X68,X71) )
& p6(X68) )
| ~ r1(X0,X68) )
& ! [X72] :
( ~ ( p5(X72)
& ! [X73] :
( p5(X73)
| ~ r1(X72,X73) )
& p5(X72) )
| p6(X72)
| ! [X74] :
( p5(X74)
| ~ ( ! [X75] :
( p6(X75)
| ~ r1(X74,X75) )
& p6(X74) )
| ~ r1(X72,X74) )
| ~ r1(X0,X72) ) )
| ! [X76] :
( ~ ( p5(X76)
& ! [X77] :
( p5(X77)
| ~ r1(X76,X77) )
& p5(X76) )
| p6(X76)
| ~ r1(X0,X76) )
| ! [X78] :
( p5(X78)
| ~ ( ! [X79] :
( p6(X79)
| ~ r1(X78,X79) )
& p6(X78) )
| ~ r1(X0,X78) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ( ~ ( ! [X1] :
( ~ ( p1(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& p1(X1) )
| p2(X1)
| p1(X1)
| ~ ( ! [X3] :
( p2(X3)
| ~ r1(X1,X3) )
& p2(X1) )
| ~ r1(X0,X1) )
& ! [X4] :
( ! [X5] :
( ~ ( p1(X5)
& ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& p1(X5) )
| p2(X5)
| ~ r1(X4,X5) )
| p1(X4)
| ~ ( ! [X7] :
( p2(X7)
| ~ r1(X4,X7) )
& p2(X4) )
| ~ r1(X0,X4) )
& ! [X8] :
( ~ ( p1(X8)
& ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
& p1(X8) )
| p2(X8)
| ! [X10] :
( p1(X10)
| ~ ( ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
& p2(X10) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) ) )
| ! [X12] :
( ~ ( p1(X12)
& ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
& p1(X12) )
| p2(X12)
| ~ r1(X0,X12) )
| ! [X14] :
( p1(X14)
| ~ ( ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
& p2(X14) )
| ~ r1(X0,X14) ) )
| ! [X16] :
( ~ ( p5(X16)
& ! [X17] :
( p5(X17)
| ~ r1(X16,X17) ) )
| p5(X16)
| ~ r1(X0,X16) )
| ! [X18] :
( ~ ( p5(X18)
& ! [X19] :
( p5(X19)
| ~ r1(X18,X19) ) )
| p5(X18)
| ~ r1(X0,X18) )
| ~ ( ~ ( ! [X20] :
( ~ ( p2(X20)
& ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
& p2(X20) )
| p3(X20)
| p2(X20)
| ~ ( ! [X22] :
( p3(X22)
| ~ r1(X20,X22) )
& p3(X20) )
| ~ r1(X0,X20) )
& ! [X23] :
( ! [X24] :
( ~ ( p2(X24)
& ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
& p2(X24) )
| p3(X24)
| ~ r1(X23,X24) )
| p2(X23)
| ~ ( ! [X26] :
( p3(X26)
| ~ r1(X23,X26) )
& p3(X23) )
| ~ r1(X0,X23) )
& ! [X27] :
( ~ ( p2(X27)
& ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
& p2(X27) )
| p3(X27)
| ! [X29] :
( p2(X29)
| ~ ( ! [X30] :
( p3(X30)
| ~ r1(X29,X30) )
& p3(X29) )
| ~ r1(X27,X29) )
| ~ r1(X0,X27) ) )
| ! [X31] :
( ~ ( p2(X31)
& ! [X32] :
( p2(X32)
| ~ r1(X31,X32) )
& p2(X31) )
| p3(X31)
| ~ r1(X0,X31) )
| ! [X33] :
( p2(X33)
| ~ ( ! [X34] :
( p3(X34)
| ~ r1(X33,X34) )
& p3(X33) )
| ~ r1(X0,X33) ) )
| ~ ( ~ ( ! [X35] :
( ~ ( p3(X35)
& ! [X36] :
( p3(X36)
| ~ r1(X35,X36) )
& p3(X35) )
| p4(X35)
| p3(X35)
| ~ ( ! [X37] :
( p4(X37)
| ~ r1(X35,X37) )
& p4(X35) )
| ~ r1(X0,X35) )
& ! [X38] :
( ! [X39] :
( ~ ( p3(X39)
& ! [X40] :
( p3(X40)
| ~ r1(X39,X40) )
& p3(X39) )
| p4(X39)
| ~ r1(X38,X39) )
| p3(X38)
| ~ ( ! [X41] :
( p4(X41)
| ~ r1(X38,X41) )
& p4(X38) )
| ~ r1(X0,X38) )
& ! [X42] :
( ~ ( p3(X42)
& ! [X43] :
( p3(X43)
| ~ r1(X42,X43) )
& p3(X42) )
| p4(X42)
| ! [X44] :
( p3(X44)
| ~ ( ! [X45] :
( p4(X45)
| ~ r1(X44,X45) )
& p4(X44) )
| ~ r1(X42,X44) )
| ~ r1(X0,X42) ) )
| ! [X46] :
( ~ ( p3(X46)
& ! [X47] :
( p3(X47)
| ~ r1(X46,X47) )
& p3(X46) )
| p4(X46)
| ~ r1(X0,X46) )
| ! [X48] :
( p3(X48)
| ~ ( ! [X49] :
( p4(X49)
| ~ r1(X48,X49) )
& p4(X48) )
| ~ r1(X0,X48) ) )
| ~ ( ~ ( ! [X50] :
( ~ ( p4(X50)
& ! [X51] :
( p4(X51)
| ~ r1(X50,X51) )
& p4(X50) )
| p5(X50)
| p4(X50)
| ~ ( ! [X52] :
( p5(X52)
| ~ r1(X50,X52) )
& p5(X50) )
| ~ r1(X0,X50) )
& ! [X53] :
( ! [X54] :
( ~ ( p4(X54)
& ! [X55] :
( p4(X55)
| ~ r1(X54,X55) )
& p4(X54) )
| p5(X54)
| ~ r1(X53,X54) )
| p4(X53)
| ~ ( ! [X56] :
( p5(X56)
| ~ r1(X53,X56) )
& p5(X53) )
| ~ r1(X0,X53) )
& ! [X57] :
( ~ ( p4(X57)
& ! [X58] :
( p4(X58)
| ~ r1(X57,X58) )
& p4(X57) )
| p5(X57)
| ! [X59] :
( p4(X59)
| ~ ( ! [X60] :
( p5(X60)
| ~ r1(X59,X60) )
& p5(X59) )
| ~ r1(X57,X59) )
| ~ r1(X0,X57) ) )
| ! [X61] :
( ~ ( p4(X61)
& ! [X62] :
( p4(X62)
| ~ r1(X61,X62) )
& p4(X61) )
| p5(X61)
| ~ r1(X0,X61) )
| ! [X63] :
( p4(X63)
| ~ ( ! [X64] :
( p5(X64)
| ~ r1(X63,X64) )
& p5(X63) )
| ~ r1(X0,X63) ) )
| ~ ( ~ ( ! [X65] :
( ~ ( p5(X65)
& ! [X66] :
( p5(X66)
| ~ r1(X65,X66) )
& p5(X65) )
| p6(X65)
| p5(X65)
| ~ ( ! [X67] :
( p6(X67)
| ~ r1(X65,X67) )
& p6(X65) )
| ~ r1(X0,X65) )
& ! [X68] :
( ! [X69] :
( ~ ( p5(X69)
& ! [X70] :
( p5(X70)
| ~ r1(X69,X70) )
& p5(X69) )
| p6(X69)
| ~ r1(X68,X69) )
| p5(X68)
| ~ ( ! [X71] :
( p6(X71)
| ~ r1(X68,X71) )
& p6(X68) )
| ~ r1(X0,X68) )
& ! [X72] :
( ~ ( p5(X72)
& ! [X73] :
( p5(X73)
| ~ r1(X72,X73) )
& p5(X72) )
| p6(X72)
| ! [X74] :
( p5(X74)
| ~ ( ! [X75] :
( p6(X75)
| ~ r1(X74,X75) )
& p6(X74) )
| ~ r1(X72,X74) )
| ~ r1(X0,X72) ) )
| ! [X76] :
( ~ ( p5(X76)
& ! [X77] :
( p5(X77)
| ~ r1(X76,X77) )
& p5(X76) )
| p6(X76)
| ~ r1(X0,X76) )
| ! [X78] :
( p5(X78)
| ~ ( ! [X79] :
( p6(X79)
| ~ r1(X78,X79) )
& p6(X78) )
| ~ r1(X0,X78) ) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
( ( ? [X1] :
( p1(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& p1(X1)
& ~ p2(X1)
& ~ p1(X1)
& ! [X3] :
( p2(X3)
| ~ r1(X1,X3) )
& p2(X1)
& r1(X0,X1) )
| ? [X4] :
( ? [X5] :
( p1(X5)
& ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& p1(X5)
& ~ p2(X5)
& r1(X4,X5) )
& ~ p1(X4)
& ! [X7] :
( p2(X7)
| ~ r1(X4,X7) )
& p2(X4)
& r1(X0,X4) )
| ? [X8] :
( p1(X8)
& ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
& p1(X8)
& ~ p2(X8)
& ? [X10] :
( ~ p1(X10)
& ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
& p2(X10)
& r1(X8,X10) )
& r1(X0,X8) )
| ! [X12] :
( ~ p1(X12)
| ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ~ p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X14] :
( p1(X14)
| ? [X15] :
( ~ p2(X15)
& r1(X14,X15) )
| ~ p2(X14)
| ~ r1(X0,X14) ) )
& ? [X16] :
( p5(X16)
& ! [X17] :
( p5(X17)
| ~ r1(X16,X17) )
& ~ p5(X16)
& r1(X0,X16) )
& ? [X18] :
( p5(X18)
& ! [X19] :
( p5(X19)
| ~ r1(X18,X19) )
& ~ p5(X18)
& r1(X0,X18) )
& ( ? [X20] :
( p2(X20)
& ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
& p2(X20)
& ~ p3(X20)
& ~ p2(X20)
& ! [X22] :
( p3(X22)
| ~ r1(X20,X22) )
& p3(X20)
& r1(X0,X20) )
| ? [X23] :
( ? [X24] :
( p2(X24)
& ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
& p2(X24)
& ~ p3(X24)
& r1(X23,X24) )
& ~ p2(X23)
& ! [X26] :
( p3(X26)
| ~ r1(X23,X26) )
& p3(X23)
& r1(X0,X23) )
| ? [X27] :
( p2(X27)
& ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
& p2(X27)
& ~ p3(X27)
& ? [X29] :
( ~ p2(X29)
& ! [X30] :
( p3(X30)
| ~ r1(X29,X30) )
& p3(X29)
& r1(X27,X29) )
& r1(X0,X27) )
| ! [X31] :
( ~ p2(X31)
| ? [X32] :
( ~ p2(X32)
& r1(X31,X32) )
| ~ p2(X31)
| p3(X31)
| ~ r1(X0,X31) )
| ! [X33] :
( p2(X33)
| ? [X34] :
( ~ p3(X34)
& r1(X33,X34) )
| ~ p3(X33)
| ~ r1(X0,X33) ) )
& ( ? [X35] :
( p3(X35)
& ! [X36] :
( p3(X36)
| ~ r1(X35,X36) )
& p3(X35)
& ~ p4(X35)
& ~ p3(X35)
& ! [X37] :
( p4(X37)
| ~ r1(X35,X37) )
& p4(X35)
& r1(X0,X35) )
| ? [X38] :
( ? [X39] :
( p3(X39)
& ! [X40] :
( p3(X40)
| ~ r1(X39,X40) )
& p3(X39)
& ~ p4(X39)
& r1(X38,X39) )
& ~ p3(X38)
& ! [X41] :
( p4(X41)
| ~ r1(X38,X41) )
& p4(X38)
& r1(X0,X38) )
| ? [X42] :
( p3(X42)
& ! [X43] :
( p3(X43)
| ~ r1(X42,X43) )
& p3(X42)
& ~ p4(X42)
& ? [X44] :
( ~ p3(X44)
& ! [X45] :
( p4(X45)
| ~ r1(X44,X45) )
& p4(X44)
& r1(X42,X44) )
& r1(X0,X42) )
| ! [X46] :
( ~ p3(X46)
| ? [X47] :
( ~ p3(X47)
& r1(X46,X47) )
| ~ p3(X46)
| p4(X46)
| ~ r1(X0,X46) )
| ! [X48] :
( p3(X48)
| ? [X49] :
( ~ p4(X49)
& r1(X48,X49) )
| ~ p4(X48)
| ~ r1(X0,X48) ) )
& ( ? [X50] :
( p4(X50)
& ! [X51] :
( p4(X51)
| ~ r1(X50,X51) )
& p4(X50)
& ~ p5(X50)
& ~ p4(X50)
& ! [X52] :
( p5(X52)
| ~ r1(X50,X52) )
& p5(X50)
& r1(X0,X50) )
| ? [X53] :
( ? [X54] :
( p4(X54)
& ! [X55] :
( p4(X55)
| ~ r1(X54,X55) )
& p4(X54)
& ~ p5(X54)
& r1(X53,X54) )
& ~ p4(X53)
& ! [X56] :
( p5(X56)
| ~ r1(X53,X56) )
& p5(X53)
& r1(X0,X53) )
| ? [X57] :
( p4(X57)
& ! [X58] :
( p4(X58)
| ~ r1(X57,X58) )
& p4(X57)
& ~ p5(X57)
& ? [X59] :
( ~ p4(X59)
& ! [X60] :
( p5(X60)
| ~ r1(X59,X60) )
& p5(X59)
& r1(X57,X59) )
& r1(X0,X57) )
| ! [X61] :
( ~ p4(X61)
| ? [X62] :
( ~ p4(X62)
& r1(X61,X62) )
| ~ p4(X61)
| p5(X61)
| ~ r1(X0,X61) )
| ! [X63] :
( p4(X63)
| ? [X64] :
( ~ p5(X64)
& r1(X63,X64) )
| ~ p5(X63)
| ~ r1(X0,X63) ) )
& ( ? [X65] :
( p5(X65)
& ! [X66] :
( p5(X66)
| ~ r1(X65,X66) )
& p5(X65)
& ~ p6(X65)
& ~ p5(X65)
& ! [X67] :
( p6(X67)
| ~ r1(X65,X67) )
& p6(X65)
& r1(X0,X65) )
| ? [X68] :
( ? [X69] :
( p5(X69)
& ! [X70] :
( p5(X70)
| ~ r1(X69,X70) )
& p5(X69)
& ~ p6(X69)
& r1(X68,X69) )
& ~ p5(X68)
& ! [X71] :
( p6(X71)
| ~ r1(X68,X71) )
& p6(X68)
& r1(X0,X68) )
| ? [X72] :
( p5(X72)
& ! [X73] :
( p5(X73)
| ~ r1(X72,X73) )
& p5(X72)
& ~ p6(X72)
& ? [X74] :
( ~ p5(X74)
& ! [X75] :
( p6(X75)
| ~ r1(X74,X75) )
& p6(X74)
& r1(X72,X74) )
& r1(X0,X72) )
| ! [X76] :
( ~ p5(X76)
| ? [X77] :
( ~ p5(X77)
& r1(X76,X77) )
| ~ p5(X76)
| p6(X76)
| ~ r1(X0,X76) )
| ! [X78] :
( p5(X78)
| ? [X79] :
( ~ p6(X79)
& r1(X78,X79) )
| ~ p6(X78)
| ~ r1(X0,X78) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f6,plain,
? [X0] :
( ( ? [X1] :
( p1(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& p1(X1)
& ~ p2(X1)
& ~ p1(X1)
& ! [X3] :
( p2(X3)
| ~ r1(X1,X3) )
& p2(X1)
& r1(X0,X1) )
| ? [X4] :
( ? [X5] :
( p1(X5)
& ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& p1(X5)
& ~ p2(X5)
& r1(X4,X5) )
& ~ p1(X4)
& ! [X7] :
( p2(X7)
| ~ r1(X4,X7) )
& p2(X4)
& r1(X0,X4) )
| ? [X8] :
( p1(X8)
& ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
& p1(X8)
& ~ p2(X8)
& ? [X10] :
( ~ p1(X10)
& ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
& p2(X10)
& r1(X8,X10) )
& r1(X0,X8) )
| ! [X12] :
( ~ p1(X12)
| ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ~ p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X14] :
( p1(X14)
| ? [X15] :
( ~ p2(X15)
& r1(X14,X15) )
| ~ p2(X14)
| ~ r1(X0,X14) ) )
& ? [X16] :
( p5(X16)
& ! [X17] :
( p5(X17)
| ~ r1(X16,X17) )
& ~ p5(X16)
& r1(X0,X16) )
& ? [X18] :
( p5(X18)
& ! [X19] :
( p5(X19)
| ~ r1(X18,X19) )
& ~ p5(X18)
& r1(X0,X18) )
& ( ? [X20] :
( p2(X20)
& ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
& p2(X20)
& ~ p3(X20)
& ~ p2(X20)
& ! [X22] :
( p3(X22)
| ~ r1(X20,X22) )
& p3(X20)
& r1(X0,X20) )
| ? [X23] :
( ? [X24] :
( p2(X24)
& ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
& p2(X24)
& ~ p3(X24)
& r1(X23,X24) )
& ~ p2(X23)
& ! [X26] :
( p3(X26)
| ~ r1(X23,X26) )
& p3(X23)
& r1(X0,X23) )
| ? [X27] :
( p2(X27)
& ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
& p2(X27)
& ~ p3(X27)
& ? [X29] :
( ~ p2(X29)
& ! [X30] :
( p3(X30)
| ~ r1(X29,X30) )
& p3(X29)
& r1(X27,X29) )
& r1(X0,X27) )
| ! [X31] :
( ~ p2(X31)
| ? [X32] :
( ~ p2(X32)
& r1(X31,X32) )
| ~ p2(X31)
| p3(X31)
| ~ r1(X0,X31) )
| ! [X33] :
( p2(X33)
| ? [X34] :
( ~ p3(X34)
& r1(X33,X34) )
| ~ p3(X33)
| ~ r1(X0,X33) ) )
& ( ? [X35] :
( p3(X35)
& ! [X36] :
( p3(X36)
| ~ r1(X35,X36) )
& p3(X35)
& ~ p4(X35)
& ~ p3(X35)
& ! [X37] :
( p4(X37)
| ~ r1(X35,X37) )
& p4(X35)
& r1(X0,X35) )
| ? [X38] :
( ? [X39] :
( p3(X39)
& ! [X40] :
( p3(X40)
| ~ r1(X39,X40) )
& p3(X39)
& ~ p4(X39)
& r1(X38,X39) )
& ~ p3(X38)
& ! [X41] :
( p4(X41)
| ~ r1(X38,X41) )
& p4(X38)
& r1(X0,X38) )
| ? [X42] :
( p3(X42)
& ! [X43] :
( p3(X43)
| ~ r1(X42,X43) )
& p3(X42)
& ~ p4(X42)
& ? [X44] :
( ~ p3(X44)
& ! [X45] :
( p4(X45)
| ~ r1(X44,X45) )
& p4(X44)
& r1(X42,X44) )
& r1(X0,X42) )
| ! [X46] :
( ~ p3(X46)
| ? [X47] :
( ~ p3(X47)
& r1(X46,X47) )
| ~ p3(X46)
| p4(X46)
| ~ r1(X0,X46) )
| ! [X48] :
( p3(X48)
| ? [X49] :
( ~ p4(X49)
& r1(X48,X49) )
| ~ p4(X48)
| ~ r1(X0,X48) ) )
& ( ? [X50] :
( p4(X50)
& ! [X51] :
( p4(X51)
| ~ r1(X50,X51) )
& p4(X50)
& ~ p5(X50)
& ~ p4(X50)
& ! [X52] :
( p5(X52)
| ~ r1(X50,X52) )
& p5(X50)
& r1(X0,X50) )
| ? [X53] :
( ? [X54] :
( p4(X54)
& ! [X55] :
( p4(X55)
| ~ r1(X54,X55) )
& p4(X54)
& ~ p5(X54)
& r1(X53,X54) )
& ~ p4(X53)
& ! [X56] :
( p5(X56)
| ~ r1(X53,X56) )
& p5(X53)
& r1(X0,X53) )
| ? [X57] :
( p4(X57)
& ! [X58] :
( p4(X58)
| ~ r1(X57,X58) )
& p4(X57)
& ~ p5(X57)
& ? [X59] :
( ~ p4(X59)
& ! [X60] :
( p5(X60)
| ~ r1(X59,X60) )
& p5(X59)
& r1(X57,X59) )
& r1(X0,X57) )
| ! [X61] :
( ~ p4(X61)
| ? [X62] :
( ~ p4(X62)
& r1(X61,X62) )
| ~ p4(X61)
| p5(X61)
| ~ r1(X0,X61) )
| ! [X63] :
( p4(X63)
| ? [X64] :
( ~ p5(X64)
& r1(X63,X64) )
| ~ p5(X63)
| ~ r1(X0,X63) ) )
& ( ? [X65] :
( p5(X65)
& ! [X66] :
( p5(X66)
| ~ r1(X65,X66) )
& p5(X65)
& ~ p6(X65)
& ~ p5(X65)
& ! [X67] :
( p6(X67)
| ~ r1(X65,X67) )
& p6(X65)
& r1(X0,X65) )
| ? [X68] :
( ? [X69] :
( p5(X69)
& ! [X70] :
( p5(X70)
| ~ r1(X69,X70) )
& p5(X69)
& ~ p6(X69)
& r1(X68,X69) )
& ~ p5(X68)
& ! [X71] :
( p6(X71)
| ~ r1(X68,X71) )
& p6(X68)
& r1(X0,X68) )
| ? [X72] :
( p5(X72)
& ! [X73] :
( p5(X73)
| ~ r1(X72,X73) )
& p5(X72)
& ~ p6(X72)
& ? [X74] :
( ~ p5(X74)
& ! [X75] :
( p6(X75)
| ~ r1(X74,X75) )
& p6(X74)
& r1(X72,X74) )
& r1(X0,X72) )
| ! [X76] :
( ~ p5(X76)
| ? [X77] :
( ~ p5(X77)
& r1(X76,X77) )
| ~ p5(X76)
| p6(X76)
| ~ r1(X0,X76) )
| ! [X78] :
( p5(X78)
| ? [X79] :
( ~ p6(X79)
& r1(X78,X79) )
| ~ p6(X78)
| ~ r1(X0,X78) ) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
! [X72] :
( ? [X74] :
( ~ p5(X74)
& ! [X75] :
( p6(X75)
| ~ r1(X74,X75) )
& p6(X74)
& r1(X72,X74) )
| ~ sP0(X72) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,plain,
! [X68] :
( ? [X69] :
( p5(X69)
& ! [X70] :
( p5(X70)
| ~ r1(X69,X70) )
& p5(X69)
& ~ p6(X69)
& r1(X68,X69) )
| ~ sP1(X68) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f9,plain,
! [X0] :
( ? [X65] :
( p5(X65)
& ! [X66] :
( p5(X66)
| ~ r1(X65,X66) )
& p5(X65)
& ~ p6(X65)
& ~ p5(X65)
& ! [X67] :
( p6(X67)
| ~ r1(X65,X67) )
& p6(X65)
& r1(X0,X65) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f10,plain,
! [X0] :
( ? [X72] :
( p5(X72)
& ! [X73] :
( p5(X73)
| ~ r1(X72,X73) )
& p5(X72)
& ~ p6(X72)
& sP0(X72)
& r1(X0,X72) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f11,plain,
! [X0] :
( ? [X68] :
( sP1(X68)
& ~ p5(X68)
& ! [X71] :
( p6(X71)
| ~ r1(X68,X71) )
& p6(X68)
& r1(X0,X68) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f12,plain,
! [X57] :
( ? [X59] :
( ~ p4(X59)
& ! [X60] :
( p5(X60)
| ~ r1(X59,X60) )
& p5(X59)
& r1(X57,X59) )
| ~ sP5(X57) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f13,plain,
! [X53] :
( ? [X54] :
( p4(X54)
& ! [X55] :
( p4(X55)
| ~ r1(X54,X55) )
& p4(X54)
& ~ p5(X54)
& r1(X53,X54) )
| ~ sP6(X53) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f14,plain,
! [X0] :
( ? [X50] :
( p4(X50)
& ! [X51] :
( p4(X51)
| ~ r1(X50,X51) )
& p4(X50)
& ~ p5(X50)
& ~ p4(X50)
& ! [X52] :
( p5(X52)
| ~ r1(X50,X52) )
& p5(X50)
& r1(X0,X50) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f15,plain,
! [X0] :
( ? [X57] :
( p4(X57)
& ! [X58] :
( p4(X58)
| ~ r1(X57,X58) )
& p4(X57)
& ~ p5(X57)
& sP5(X57)
& r1(X0,X57) )
| ~ sP8(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f16,plain,
! [X0] :
( ? [X53] :
( sP6(X53)
& ~ p4(X53)
& ! [X56] :
( p5(X56)
| ~ r1(X53,X56) )
& p5(X53)
& r1(X0,X53) )
| ~ sP9(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f17,plain,
! [X42] :
( ? [X44] :
( ~ p3(X44)
& ! [X45] :
( p4(X45)
| ~ r1(X44,X45) )
& p4(X44)
& r1(X42,X44) )
| ~ sP10(X42) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f18,plain,
! [X38] :
( ? [X39] :
( p3(X39)
& ! [X40] :
( p3(X40)
| ~ r1(X39,X40) )
& p3(X39)
& ~ p4(X39)
& r1(X38,X39) )
| ~ sP11(X38) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f19,plain,
! [X0] :
( ? [X35] :
( p3(X35)
& ! [X36] :
( p3(X36)
| ~ r1(X35,X36) )
& p3(X35)
& ~ p4(X35)
& ~ p3(X35)
& ! [X37] :
( p4(X37)
| ~ r1(X35,X37) )
& p4(X35)
& r1(X0,X35) )
| ~ sP12(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f20,plain,
! [X0] :
( ? [X42] :
( p3(X42)
& ! [X43] :
( p3(X43)
| ~ r1(X42,X43) )
& p3(X42)
& ~ p4(X42)
& sP10(X42)
& r1(X0,X42) )
| ~ sP13(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f21,plain,
! [X0] :
( ? [X38] :
( sP11(X38)
& ~ p3(X38)
& ! [X41] :
( p4(X41)
| ~ r1(X38,X41) )
& p4(X38)
& r1(X0,X38) )
| ~ sP14(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f22,plain,
! [X27] :
( ? [X29] :
( ~ p2(X29)
& ! [X30] :
( p3(X30)
| ~ r1(X29,X30) )
& p3(X29)
& r1(X27,X29) )
| ~ sP15(X27) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f23,plain,
! [X23] :
( ? [X24] :
( p2(X24)
& ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
& p2(X24)
& ~ p3(X24)
& r1(X23,X24) )
| ~ sP16(X23) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f24,plain,
! [X0] :
( ? [X20] :
( p2(X20)
& ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
& p2(X20)
& ~ p3(X20)
& ~ p2(X20)
& ! [X22] :
( p3(X22)
| ~ r1(X20,X22) )
& p3(X20)
& r1(X0,X20) )
| ~ sP17(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f25,plain,
! [X0] :
( ? [X27] :
( p2(X27)
& ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
& p2(X27)
& ~ p3(X27)
& sP15(X27)
& r1(X0,X27) )
| ~ sP18(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f26,plain,
! [X0] :
( ? [X23] :
( sP16(X23)
& ~ p2(X23)
& ! [X26] :
( p3(X26)
| ~ r1(X23,X26) )
& p3(X23)
& r1(X0,X23) )
| ~ sP19(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f27,plain,
! [X8] :
( ? [X10] :
( ~ p1(X10)
& ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
& p2(X10)
& r1(X8,X10) )
| ~ sP20(X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f28,plain,
! [X4] :
( ? [X5] :
( p1(X5)
& ! [X6] :
( p1(X6)
| ~ r1(X5,X6) )
& p1(X5)
& ~ p2(X5)
& r1(X4,X5) )
| ~ sP21(X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( p1(X1)
& ! [X2] :
( p1(X2)
| ~ r1(X1,X2) )
& p1(X1)
& ~ p2(X1)
& ~ p1(X1)
& ! [X3] :
( p2(X3)
| ~ r1(X1,X3) )
& p2(X1)
& r1(X0,X1) )
| ~ sP22(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f30,plain,
! [X0] :
( ? [X8] :
( p1(X8)
& ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
& p1(X8)
& ~ p2(X8)
& sP20(X8)
& r1(X0,X8) )
| ~ sP23(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f31,plain,
! [X0] :
( ? [X4] :
( sP21(X4)
& ~ p1(X4)
& ! [X7] :
( p2(X7)
| ~ r1(X4,X7) )
& p2(X4)
& r1(X0,X4) )
| ~ sP24(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f32,plain,
? [X0] :
( ( sP22(X0)
| sP24(X0)
| sP23(X0)
| ! [X12] :
( ~ p1(X12)
| ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ~ p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X14] :
( p1(X14)
| ? [X15] :
( ~ p2(X15)
& r1(X14,X15) )
| ~ p2(X14)
| ~ r1(X0,X14) ) )
& ? [X16] :
( p5(X16)
& ! [X17] :
( p5(X17)
| ~ r1(X16,X17) )
& ~ p5(X16)
& r1(X0,X16) )
& ? [X18] :
( p5(X18)
& ! [X19] :
( p5(X19)
| ~ r1(X18,X19) )
& ~ p5(X18)
& r1(X0,X18) )
& ( sP17(X0)
| sP19(X0)
| sP18(X0)
| ! [X31] :
( ~ p2(X31)
| ? [X32] :
( ~ p2(X32)
& r1(X31,X32) )
| ~ p2(X31)
| p3(X31)
| ~ r1(X0,X31) )
| ! [X33] :
( p2(X33)
| ? [X34] :
( ~ p3(X34)
& r1(X33,X34) )
| ~ p3(X33)
| ~ r1(X0,X33) ) )
& ( sP12(X0)
| sP14(X0)
| sP13(X0)
| ! [X46] :
( ~ p3(X46)
| ? [X47] :
( ~ p3(X47)
& r1(X46,X47) )
| ~ p3(X46)
| p4(X46)
| ~ r1(X0,X46) )
| ! [X48] :
( p3(X48)
| ? [X49] :
( ~ p4(X49)
& r1(X48,X49) )
| ~ p4(X48)
| ~ r1(X0,X48) ) )
& ( sP7(X0)
| sP9(X0)
| sP8(X0)
| ! [X61] :
( ~ p4(X61)
| ? [X62] :
( ~ p4(X62)
& r1(X61,X62) )
| ~ p4(X61)
| p5(X61)
| ~ r1(X0,X61) )
| ! [X63] :
( p4(X63)
| ? [X64] :
( ~ p5(X64)
& r1(X63,X64) )
| ~ p5(X63)
| ~ r1(X0,X63) ) )
& ( sP2(X0)
| sP4(X0)
| sP3(X0)
| ! [X76] :
( ~ p5(X76)
| ? [X77] :
( ~ p5(X77)
& r1(X76,X77) )
| ~ p5(X76)
| p6(X76)
| ~ r1(X0,X76) )
| ! [X78] :
( p5(X78)
| ? [X79] :
( ~ p6(X79)
& r1(X78,X79) )
| ~ p6(X78)
| ~ r1(X0,X78) ) ) ),
inference(definition_folding,[],[f6,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7]) ).
fof(f132,plain,
? [X0] :
( ( sP22(X0)
| sP24(X0)
| sP23(X0)
| ! [X1] :
( ~ p1(X1)
| ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ~ p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X3] :
( p1(X3)
| ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
| ~ p2(X3)
| ~ r1(X0,X3) ) )
& ? [X5] :
( p5(X5)
& ! [X6] :
( p5(X6)
| ~ r1(X5,X6) )
& ~ p5(X5)
& r1(X0,X5) )
& ? [X7] :
( p5(X7)
& ! [X8] :
( p5(X8)
| ~ r1(X7,X8) )
& ~ p5(X7)
& r1(X0,X7) )
& ( sP17(X0)
| sP19(X0)
| sP18(X0)
| ! [X9] :
( ~ p2(X9)
| ? [X10] :
( ~ p2(X10)
& r1(X9,X10) )
| ~ p2(X9)
| p3(X9)
| ~ r1(X0,X9) )
| ! [X11] :
( p2(X11)
| ? [X12] :
( ~ p3(X12)
& r1(X11,X12) )
| ~ p3(X11)
| ~ r1(X0,X11) ) )
& ( sP12(X0)
| sP14(X0)
| sP13(X0)
| ! [X13] :
( ~ p3(X13)
| ? [X14] :
( ~ p3(X14)
& r1(X13,X14) )
| ~ p3(X13)
| p4(X13)
| ~ r1(X0,X13) )
| ! [X15] :
( p3(X15)
| ? [X16] :
( ~ p4(X16)
& r1(X15,X16) )
| ~ p4(X15)
| ~ r1(X0,X15) ) )
& ( sP7(X0)
| sP9(X0)
| sP8(X0)
| ! [X17] :
( ~ p4(X17)
| ? [X18] :
( ~ p4(X18)
& r1(X17,X18) )
| ~ p4(X17)
| p5(X17)
| ~ r1(X0,X17) )
| ! [X19] :
( p4(X19)
| ? [X20] :
( ~ p5(X20)
& r1(X19,X20) )
| ~ p5(X19)
| ~ r1(X0,X19) ) )
& ( sP2(X0)
| sP4(X0)
| sP3(X0)
| ! [X21] :
( ~ p5(X21)
| ? [X22] :
( ~ p5(X22)
& r1(X21,X22) )
| ~ p5(X21)
| p6(X21)
| ~ r1(X0,X21) )
| ! [X23] :
( p5(X23)
| ? [X24] :
( ~ p6(X24)
& r1(X23,X24) )
| ~ p6(X23)
| ~ r1(X0,X23) ) ) ),
inference(rectify,[],[f32]) ).
fof(f133,plain,
( ? [X0] :
( ( sP22(X0)
| sP24(X0)
| sP23(X0)
| ! [X1] :
( ~ p1(X1)
| ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ~ p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X3] :
( p1(X3)
| ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
| ~ p2(X3)
| ~ r1(X0,X3) ) )
& ? [X5] :
( p5(X5)
& ! [X6] :
( p5(X6)
| ~ r1(X5,X6) )
& ~ p5(X5)
& r1(X0,X5) )
& ? [X7] :
( p5(X7)
& ! [X8] :
( p5(X8)
| ~ r1(X7,X8) )
& ~ p5(X7)
& r1(X0,X7) )
& ( sP17(X0)
| sP19(X0)
| sP18(X0)
| ! [X9] :
( ~ p2(X9)
| ? [X10] :
( ~ p2(X10)
& r1(X9,X10) )
| ~ p2(X9)
| p3(X9)
| ~ r1(X0,X9) )
| ! [X11] :
( p2(X11)
| ? [X12] :
( ~ p3(X12)
& r1(X11,X12) )
| ~ p3(X11)
| ~ r1(X0,X11) ) )
& ( sP12(X0)
| sP14(X0)
| sP13(X0)
| ! [X13] :
( ~ p3(X13)
| ? [X14] :
( ~ p3(X14)
& r1(X13,X14) )
| ~ p3(X13)
| p4(X13)
| ~ r1(X0,X13) )
| ! [X15] :
( p3(X15)
| ? [X16] :
( ~ p4(X16)
& r1(X15,X16) )
| ~ p4(X15)
| ~ r1(X0,X15) ) )
& ( sP7(X0)
| sP9(X0)
| sP8(X0)
| ! [X17] :
( ~ p4(X17)
| ? [X18] :
( ~ p4(X18)
& r1(X17,X18) )
| ~ p4(X17)
| p5(X17)
| ~ r1(X0,X17) )
| ! [X19] :
( p4(X19)
| ? [X20] :
( ~ p5(X20)
& r1(X19,X20) )
| ~ p5(X19)
| ~ r1(X0,X19) ) )
& ( sP2(X0)
| sP4(X0)
| sP3(X0)
| ! [X21] :
( ~ p5(X21)
| ? [X22] :
( ~ p5(X22)
& r1(X21,X22) )
| ~ p5(X21)
| p6(X21)
| ~ r1(X0,X21) )
| ! [X23] :
( p5(X23)
| ? [X24] :
( ~ p6(X24)
& r1(X23,X24) )
| ~ p6(X23)
| ~ r1(X0,X23) ) ) )
=> ( ( sP22(sK50)
| sP24(sK50)
| sP23(sK50)
| ! [X1] :
( ~ p1(X1)
| ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
| ~ p1(X1)
| p2(X1)
| ~ r1(sK50,X1) )
| ! [X3] :
( p1(X3)
| ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
| ~ p2(X3)
| ~ r1(sK50,X3) ) )
& ? [X5] :
( p5(X5)
& ! [X6] :
( p5(X6)
| ~ r1(X5,X6) )
& ~ p5(X5)
& r1(sK50,X5) )
& ? [X7] :
( p5(X7)
& ! [X8] :
( p5(X8)
| ~ r1(X7,X8) )
& ~ p5(X7)
& r1(sK50,X7) )
& ( sP17(sK50)
| sP19(sK50)
| sP18(sK50)
| ! [X9] :
( ~ p2(X9)
| ? [X10] :
( ~ p2(X10)
& r1(X9,X10) )
| ~ p2(X9)
| p3(X9)
| ~ r1(sK50,X9) )
| ! [X11] :
( p2(X11)
| ? [X12] :
( ~ p3(X12)
& r1(X11,X12) )
| ~ p3(X11)
| ~ r1(sK50,X11) ) )
& ( sP12(sK50)
| sP14(sK50)
| sP13(sK50)
| ! [X13] :
( ~ p3(X13)
| ? [X14] :
( ~ p3(X14)
& r1(X13,X14) )
| ~ p3(X13)
| p4(X13)
| ~ r1(sK50,X13) )
| ! [X15] :
( p3(X15)
| ? [X16] :
( ~ p4(X16)
& r1(X15,X16) )
| ~ p4(X15)
| ~ r1(sK50,X15) ) )
& ( sP7(sK50)
| sP9(sK50)
| sP8(sK50)
| ! [X17] :
( ~ p4(X17)
| ? [X18] :
( ~ p4(X18)
& r1(X17,X18) )
| ~ p4(X17)
| p5(X17)
| ~ r1(sK50,X17) )
| ! [X19] :
( p4(X19)
| ? [X20] :
( ~ p5(X20)
& r1(X19,X20) )
| ~ p5(X19)
| ~ r1(sK50,X19) ) )
& ( sP2(sK50)
| sP4(sK50)
| sP3(sK50)
| ! [X21] :
( ~ p5(X21)
| ? [X22] :
( ~ p5(X22)
& r1(X21,X22) )
| ~ p5(X21)
| p6(X21)
| ~ r1(sK50,X21) )
| ! [X23] :
( p5(X23)
| ? [X24] :
( ~ p6(X24)
& r1(X23,X24) )
| ~ p6(X23)
| ~ r1(sK50,X23) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
! [X1] :
( ? [X2] :
( ~ p1(X2)
& r1(X1,X2) )
=> ( ~ p1(sK51(X1))
& r1(X1,sK51(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X3] :
( ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
=> ( ~ p2(sK52(X3))
& r1(X3,sK52(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
( ? [X5] :
( p5(X5)
& ! [X6] :
( p5(X6)
| ~ r1(X5,X6) )
& ~ p5(X5)
& r1(sK50,X5) )
=> ( p5(sK53)
& ! [X6] :
( p5(X6)
| ~ r1(sK53,X6) )
& ~ p5(sK53)
& r1(sK50,sK53) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
( ? [X7] :
( p5(X7)
& ! [X8] :
( p5(X8)
| ~ r1(X7,X8) )
& ~ p5(X7)
& r1(sK50,X7) )
=> ( p5(sK54)
& ! [X8] :
( p5(X8)
| ~ r1(sK54,X8) )
& ~ p5(sK54)
& r1(sK50,sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X9] :
( ? [X10] :
( ~ p2(X10)
& r1(X9,X10) )
=> ( ~ p2(sK55(X9))
& r1(X9,sK55(X9)) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
! [X11] :
( ? [X12] :
( ~ p3(X12)
& r1(X11,X12) )
=> ( ~ p3(sK56(X11))
& r1(X11,sK56(X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X13] :
( ? [X14] :
( ~ p3(X14)
& r1(X13,X14) )
=> ( ~ p3(sK57(X13))
& r1(X13,sK57(X13)) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
! [X15] :
( ? [X16] :
( ~ p4(X16)
& r1(X15,X16) )
=> ( ~ p4(sK58(X15))
& r1(X15,sK58(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
! [X17] :
( ? [X18] :
( ~ p4(X18)
& r1(X17,X18) )
=> ( ~ p4(sK59(X17))
& r1(X17,sK59(X17)) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
! [X19] :
( ? [X20] :
( ~ p5(X20)
& r1(X19,X20) )
=> ( ~ p5(sK60(X19))
& r1(X19,sK60(X19)) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X21] :
( ? [X22] :
( ~ p5(X22)
& r1(X21,X22) )
=> ( ~ p5(sK61(X21))
& r1(X21,sK61(X21)) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
! [X23] :
( ? [X24] :
( ~ p6(X24)
& r1(X23,X24) )
=> ( ~ p6(sK62(X23))
& r1(X23,sK62(X23)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
( ( sP22(sK50)
| sP24(sK50)
| sP23(sK50)
| ! [X1] :
( ~ p1(X1)
| ( ~ p1(sK51(X1))
& r1(X1,sK51(X1)) )
| ~ p1(X1)
| p2(X1)
| ~ r1(sK50,X1) )
| ! [X3] :
( p1(X3)
| ( ~ p2(sK52(X3))
& r1(X3,sK52(X3)) )
| ~ p2(X3)
| ~ r1(sK50,X3) ) )
& p5(sK53)
& ! [X6] :
( p5(X6)
| ~ r1(sK53,X6) )
& ~ p5(sK53)
& r1(sK50,sK53)
& p5(sK54)
& ! [X8] :
( p5(X8)
| ~ r1(sK54,X8) )
& ~ p5(sK54)
& r1(sK50,sK54)
& ( sP17(sK50)
| sP19(sK50)
| sP18(sK50)
| ! [X9] :
( ~ p2(X9)
| ( ~ p2(sK55(X9))
& r1(X9,sK55(X9)) )
| ~ p2(X9)
| p3(X9)
| ~ r1(sK50,X9) )
| ! [X11] :
( p2(X11)
| ( ~ p3(sK56(X11))
& r1(X11,sK56(X11)) )
| ~ p3(X11)
| ~ r1(sK50,X11) ) )
& ( sP12(sK50)
| sP14(sK50)
| sP13(sK50)
| ! [X13] :
( ~ p3(X13)
| ( ~ p3(sK57(X13))
& r1(X13,sK57(X13)) )
| ~ p3(X13)
| p4(X13)
| ~ r1(sK50,X13) )
| ! [X15] :
( p3(X15)
| ( ~ p4(sK58(X15))
& r1(X15,sK58(X15)) )
| ~ p4(X15)
| ~ r1(sK50,X15) ) )
& ( sP7(sK50)
| sP9(sK50)
| sP8(sK50)
| ! [X17] :
( ~ p4(X17)
| ( ~ p4(sK59(X17))
& r1(X17,sK59(X17)) )
| ~ p4(X17)
| p5(X17)
| ~ r1(sK50,X17) )
| ! [X19] :
( p4(X19)
| ( ~ p5(sK60(X19))
& r1(X19,sK60(X19)) )
| ~ p5(X19)
| ~ r1(sK50,X19) ) )
& ( sP2(sK50)
| sP4(sK50)
| sP3(sK50)
| ! [X21] :
( ~ p5(X21)
| ( ~ p5(sK61(X21))
& r1(X21,sK61(X21)) )
| ~ p5(X21)
| p6(X21)
| ~ r1(sK50,X21) )
| ! [X23] :
( p5(X23)
| ( ~ p6(sK62(X23))
& r1(X23,sK62(X23)) )
| ~ p6(X23)
| ~ r1(sK50,X23) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50,sK51,sK52,sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61,sK62])],[f132,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133]) ).
fof(f304,plain,
~ p5(sK54),
inference(cnf_transformation,[],[f146]) ).
fof(f306,plain,
p5(sK54),
inference(cnf_transformation,[],[f146]) ).
cnf(c_197,negated_conjecture,
p5(sK54),
inference(cnf_transformation,[],[f306]) ).
cnf(c_199,negated_conjecture,
~ p5(sK54),
inference(cnf_transformation,[],[f304]) ).
cnf(c_217,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_199,c_197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL644+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 00:28:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.93/1.17 % SZS status Started for theBenchmark.p
% 0.93/1.17 % SZS status Theorem for theBenchmark.p
% 0.93/1.17
% 0.93/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.93/1.17
% 0.93/1.17 ------ iProver source info
% 0.93/1.17
% 0.93/1.17 git: date: 2023-05-31 18:12:56 +0000
% 0.93/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.93/1.17 git: non_committed_changes: false
% 0.93/1.17 git: last_make_outside_of_git: false
% 0.93/1.17
% 0.93/1.17 ------ Parsing...
% 0.93/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.93/1.17
% 0.93/1.17 ------ Preprocessing...
% 0.93/1.17
% 0.93/1.17 % SZS status Theorem for theBenchmark.p
% 0.93/1.17
% 0.93/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.93/1.17
% 0.93/1.17
%------------------------------------------------------------------------------