%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL656+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:07:40 PM UTC 2026
% Result : Theorem 8.54s 1.93s
% Output : CNFRefutation 8.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 24
% Syntax : Number of formulae : 123 ( 9 unt; 22 def)
% Number of atoms : 2686 ( 0 equ)
% Maximal formula atoms : 244 ( 21 avg)
% Number of connectives : 4400 (1938 ~;1462 |;1000 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 61 ( 12 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 48 ( 47 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 737 ( 0 sgn 653 !; 84 ?; 124 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& ( ~ p106(X0)
| p105(X0) )
& ( ~ p107(X0)
| p106(X0) )
& ( ~ p108(X0)
| p107(X0) )
& ( ~ p109(X0)
| p108(X0) )
& ( ~ p110(X0)
| p109(X0) )
& ( ~ p111(X0)
| p110(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X1] :
( ~ p100(X1)
| ~ p1(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X0,X1) ) )
& ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p102(X0)
| ( ( ~ p3(X0)
| ! [X1] :
( ~ p102(X1)
| p3(X1)
| ~ r1(X0,X1) ) )
& ( p3(X0)
| ! [X1] :
( ~ p102(X1)
| ~ p3(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p103(X0)
| ( ( ~ p4(X0)
| ! [X1] :
( ~ p103(X1)
| p4(X1)
| ~ r1(X0,X1) ) )
& ( p4(X0)
| ! [X1] :
( ~ p103(X1)
| ~ p4(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p104(X0)
| ( ( ~ p5(X0)
| ! [X1] :
( ~ p104(X1)
| p5(X1)
| ~ r1(X0,X1) ) )
& ( p5(X0)
| ! [X1] :
( ~ p104(X1)
| ~ p5(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p105(X0)
| ( ( ~ p6(X0)
| ! [X1] :
( ~ p105(X1)
| p6(X1)
| ~ r1(X0,X1) ) )
& ( p6(X0)
| ! [X1] :
( ~ p105(X1)
| ~ p6(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p106(X0)
| ( ( ~ p7(X0)
| ! [X1] :
( ~ p106(X1)
| p7(X1)
| ~ r1(X0,X1) ) )
& ( p7(X0)
| ! [X1] :
( ~ p106(X1)
| ~ p7(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p107(X0)
| ( ( ~ p8(X0)
| ! [X1] :
( ~ p107(X1)
| p8(X1)
| ~ r1(X0,X1) ) )
& ( p8(X0)
| ! [X1] :
( ~ p107(X1)
| ~ p8(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p108(X0)
| ( ( ~ p9(X0)
| ! [X1] :
( ~ p108(X1)
| p9(X1)
| ~ r1(X0,X1) ) )
& ( p9(X0)
| ! [X1] :
( ~ p108(X1)
| ~ p9(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p109(X0)
| ( ( ~ p10(X0)
| ! [X1] :
( ~ p109(X1)
| p10(X1)
| ~ r1(X0,X1) ) )
& ( p10(X0)
| ! [X1] :
( ~ p109(X1)
| ~ p10(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p110(X0)
| ( ( ~ p11(X0)
| ! [X1] :
( ~ p110(X1)
| p11(X1)
| ~ r1(X0,X1) ) )
& ( p11(X0)
| ! [X1] :
( ~ p110(X1)
| ~ p11(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& p2(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p101(X0)
& ~ p102(X0) )
| ( ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& p3(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& ~ p3(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p102(X0)
& ~ p103(X0) )
| ( ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& p4(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& ~ p4(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p103(X0)
& ~ p104(X0) )
| ( ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& p5(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& ~ p5(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p104(X0)
& ~ p105(X0) )
| ( ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& p6(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& ~ p6(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p105(X0)
& ~ p106(X0) )
| ( ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& p7(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& ~ p7(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p106(X0)
& ~ p107(X0) )
| ( ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& p8(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& ~ p8(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p107(X0)
& ~ p108(X0) )
| ( ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& p9(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& ~ p9(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p108(X0)
& ~ p109(X0) )
| ( ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& p10(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& ~ p10(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p109(X0)
& ~ p110(X0) )
| ( ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& p11(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& ~ p11(X1) )
| ~ r1(X0,X1) ) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& ( ~ p106(X0)
| p105(X0) )
& ( ~ p107(X0)
| p106(X0) )
& ( ~ p108(X0)
| p107(X0) )
& ( ~ p109(X0)
| p108(X0) )
& ( ~ p110(X0)
| p109(X0) )
& ( ~ p111(X0)
| p110(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X1] :
( ~ p100(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X1] :
( ~ p100(X1)
| ~ p1(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X1] :
( ~ p101(X1)
| p2(X1)
| ~ r1(X0,X1) ) )
& ( p2(X0)
| ! [X1] :
( ~ p101(X1)
| ~ p2(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p102(X0)
| ( ( ~ p3(X0)
| ! [X1] :
( ~ p102(X1)
| p3(X1)
| ~ r1(X0,X1) ) )
& ( p3(X0)
| ! [X1] :
( ~ p102(X1)
| ~ p3(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p103(X0)
| ( ( ~ p4(X0)
| ! [X1] :
( ~ p103(X1)
| p4(X1)
| ~ r1(X0,X1) ) )
& ( p4(X0)
| ! [X1] :
( ~ p103(X1)
| ~ p4(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p104(X0)
| ( ( ~ p5(X0)
| ! [X1] :
( ~ p104(X1)
| p5(X1)
| ~ r1(X0,X1) ) )
& ( p5(X0)
| ! [X1] :
( ~ p104(X1)
| ~ p5(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p105(X0)
| ( ( ~ p6(X0)
| ! [X1] :
( ~ p105(X1)
| p6(X1)
| ~ r1(X0,X1) ) )
& ( p6(X0)
| ! [X1] :
( ~ p105(X1)
| ~ p6(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p106(X0)
| ( ( ~ p7(X0)
| ! [X1] :
( ~ p106(X1)
| p7(X1)
| ~ r1(X0,X1) ) )
& ( p7(X0)
| ! [X1] :
( ~ p106(X1)
| ~ p7(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p107(X0)
| ( ( ~ p8(X0)
| ! [X1] :
( ~ p107(X1)
| p8(X1)
| ~ r1(X0,X1) ) )
& ( p8(X0)
| ! [X1] :
( ~ p107(X1)
| ~ p8(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p108(X0)
| ( ( ~ p9(X0)
| ! [X1] :
( ~ p108(X1)
| p9(X1)
| ~ r1(X0,X1) ) )
& ( p9(X0)
| ! [X1] :
( ~ p108(X1)
| ~ p9(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p109(X0)
| ( ( ~ p10(X0)
| ! [X1] :
( ~ p109(X1)
| p10(X1)
| ~ r1(X0,X1) ) )
& ( p10(X0)
| ! [X1] :
( ~ p109(X1)
| ~ p10(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ p110(X0)
| ( ( ~ p11(X0)
| ! [X1] :
( ~ p110(X1)
| p11(X1)
| ~ r1(X0,X1) ) )
& ( p11(X0)
| ! [X1] :
( ~ p110(X1)
| ~ p11(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ ( p100(X0)
& ~ p101(X0) )
| ( ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& p2(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p101(X1)
& ~ p102(X1)
& ~ p2(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p101(X0)
& ~ p102(X0) )
| ( ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& p3(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p102(X1)
& ~ p103(X1)
& ~ p3(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p102(X0)
& ~ p103(X0) )
| ( ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& p4(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p103(X1)
& ~ p104(X1)
& ~ p4(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p103(X0)
& ~ p104(X0) )
| ( ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& p5(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p104(X1)
& ~ p105(X1)
& ~ p5(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p104(X0)
& ~ p105(X0) )
| ( ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& p6(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p105(X1)
& ~ p106(X1)
& ~ p6(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p105(X0)
& ~ p106(X0) )
| ( ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& p7(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p106(X1)
& ~ p107(X1)
& ~ p7(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p106(X0)
& ~ p107(X0) )
| ( ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& p8(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p107(X1)
& ~ p108(X1)
& ~ p8(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p107(X0)
& ~ p108(X0) )
| ( ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& p9(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p108(X1)
& ~ p109(X1)
& ~ p9(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p108(X0)
& ~ p109(X0) )
| ( ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& p10(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p109(X1)
& ~ p110(X1)
& ~ p10(X1) )
| ~ r1(X0,X1) ) ) )
& ( ~ ( p109(X0)
& ~ p110(X0) )
| ( ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& p11(X1) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p110(X1)
& ~ p111(X1)
& ~ p11(X1) )
| ~ r1(X0,X1) ) ) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( p5(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& ( ~ p111(X20)
| p110(X20) )
& ( ~ p100(X20)
| ( ( ~ p1(X20)
| ! [X62] :
( ~ p100(X62)
| p1(X62)
| ~ r1(X20,X62) ) )
& ( p1(X20)
| ! [X61] :
( ~ p100(X61)
| ~ p1(X61)
| ~ r1(X20,X61) ) ) ) )
& ( ~ p101(X20)
| ( ( ~ p2(X20)
| ! [X60] :
( ~ p101(X60)
| p2(X60)
| ~ r1(X20,X60) ) )
& ( p2(X20)
| ! [X59] :
( ~ p101(X59)
| ~ p2(X59)
| ~ r1(X20,X59) ) ) ) )
& ( ~ p102(X20)
| ( ( ~ p3(X20)
| ! [X58] :
( ~ p102(X58)
| p3(X58)
| ~ r1(X20,X58) ) )
& ( p3(X20)
| ! [X57] :
( ~ p102(X57)
| ~ p3(X57)
| ~ r1(X20,X57) ) ) ) )
& ( ~ p103(X20)
| ( ( ~ p4(X20)
| ! [X56] :
( ~ p103(X56)
| p4(X56)
| ~ r1(X20,X56) ) )
& ( p4(X20)
| ! [X55] :
( ~ p103(X55)
| ~ p4(X55)
| ~ r1(X20,X55) ) ) ) )
& ( ~ p104(X20)
| ( ( ~ p5(X20)
| ! [X54] :
( ~ p104(X54)
| p5(X54)
| ~ r1(X20,X54) ) )
& ( p5(X20)
| ! [X53] :
( ~ p104(X53)
| ~ p5(X53)
| ~ r1(X20,X53) ) ) ) )
& ( ~ p105(X20)
| ( ( ~ p6(X20)
| ! [X52] :
( ~ p105(X52)
| p6(X52)
| ~ r1(X20,X52) ) )
& ( p6(X20)
| ! [X51] :
( ~ p105(X51)
| ~ p6(X51)
| ~ r1(X20,X51) ) ) ) )
& ( ~ p106(X20)
| ( ( ~ p7(X20)
| ! [X50] :
( ~ p106(X50)
| p7(X50)
| ~ r1(X20,X50) ) )
& ( p7(X20)
| ! [X49] :
( ~ p106(X49)
| ~ p7(X49)
| ~ r1(X20,X49) ) ) ) )
& ( ~ p107(X20)
| ( ( ~ p8(X20)
| ! [X48] :
( ~ p107(X48)
| p8(X48)
| ~ r1(X20,X48) ) )
& ( p8(X20)
| ! [X47] :
( ~ p107(X47)
| ~ p8(X47)
| ~ r1(X20,X47) ) ) ) )
& ( ~ p108(X20)
| ( ( ~ p9(X20)
| ! [X46] :
( ~ p108(X46)
| p9(X46)
| ~ r1(X20,X46) ) )
& ( p9(X20)
| ! [X45] :
( ~ p108(X45)
| ~ p9(X45)
| ~ r1(X20,X45) ) ) ) )
& ( ~ p109(X20)
| ( ( ~ p10(X20)
| ! [X44] :
( ~ p109(X44)
| p10(X44)
| ~ r1(X20,X44) ) )
& ( p10(X20)
| ! [X43] :
( ~ p109(X43)
| ~ p10(X43)
| ~ r1(X20,X43) ) ) ) )
& ( ~ p110(X20)
| ( ( ~ p11(X20)
| ! [X42] :
( ~ p110(X42)
| p11(X42)
| ~ r1(X20,X42) ) )
& ( p11(X20)
| ! [X41] :
( ~ p110(X41)
| ~ p11(X41)
| ~ r1(X20,X41) ) ) ) )
& ( ~ ( p100(X20)
& ~ p101(X20) )
| ( ~ ! [X40] :
( ~ ( p101(X40)
& ~ p102(X40)
& p2(X40) )
| ~ r1(X20,X40) )
& ~ ! [X39] :
( ~ ( p101(X39)
& ~ p102(X39)
& ~ p2(X39) )
| ~ r1(X20,X39) ) ) )
& ( ~ ( p101(X20)
& ~ p102(X20) )
| ( ~ ! [X38] :
( ~ ( p102(X38)
& ~ p103(X38)
& p3(X38) )
| ~ r1(X20,X38) )
& ~ ! [X37] :
( ~ ( p102(X37)
& ~ p103(X37)
& ~ p3(X37) )
| ~ r1(X20,X37) ) ) )
& ( ~ ( p102(X20)
& ~ p103(X20) )
| ( ~ ! [X36] :
( ~ ( p103(X36)
& ~ p104(X36)
& p4(X36) )
| ~ r1(X20,X36) )
& ~ ! [X35] :
( ~ ( p103(X35)
& ~ p104(X35)
& ~ p4(X35) )
| ~ r1(X20,X35) ) ) )
& ( ~ ( p103(X20)
& ~ p104(X20) )
| ( ~ ! [X34] :
( ~ ( p104(X34)
& ~ p105(X34)
& p5(X34) )
| ~ r1(X20,X34) )
& ~ ! [X33] :
( ~ ( p104(X33)
& ~ p105(X33)
& ~ p5(X33) )
| ~ r1(X20,X33) ) ) )
& ( ~ ( p104(X20)
& ~ p105(X20) )
| ( ~ ! [X32] :
( ~ ( p105(X32)
& ~ p106(X32)
& p6(X32) )
| ~ r1(X20,X32) )
& ~ ! [X31] :
( ~ ( p105(X31)
& ~ p106(X31)
& ~ p6(X31) )
| ~ r1(X20,X31) ) ) )
& ( ~ ( p105(X20)
& ~ p106(X20) )
| ( ~ ! [X30] :
( ~ ( p106(X30)
& ~ p107(X30)
& p7(X30) )
| ~ r1(X20,X30) )
& ~ ! [X29] :
( ~ ( p106(X29)
& ~ p107(X29)
& ~ p7(X29) )
| ~ r1(X20,X29) ) ) )
& ( ~ ( p106(X20)
& ~ p107(X20) )
| ( ~ ! [X28] :
( ~ ( p107(X28)
& ~ p108(X28)
& p8(X28) )
| ~ r1(X20,X28) )
& ~ ! [X27] :
( ~ ( p107(X27)
& ~ p108(X27)
& ~ p8(X27) )
| ~ r1(X20,X27) ) ) )
& ( ~ ( p107(X20)
& ~ p108(X20) )
| ( ~ ! [X26] :
( ~ ( p108(X26)
& ~ p109(X26)
& p9(X26) )
| ~ r1(X20,X26) )
& ~ ! [X25] :
( ~ ( p108(X25)
& ~ p109(X25)
& ~ p9(X25) )
| ~ r1(X20,X25) ) ) )
& ( ~ ( p108(X20)
& ~ p109(X20) )
| ( ~ ! [X24] :
( ~ ( p109(X24)
& ~ p110(X24)
& p10(X24) )
| ~ r1(X20,X24) )
& ~ ! [X23] :
( ~ ( p109(X23)
& ~ p110(X23)
& ~ p10(X23) )
| ~ r1(X20,X23) ) ) )
& ( ~ ( p109(X20)
& ~ p110(X20) )
| ( ~ ! [X22] :
( ~ ( p110(X22)
& ~ p111(X22)
& p11(X22) )
| ~ r1(X20,X22) )
& ~ ! [X21] :
( ~ ( p110(X21)
& ~ p111(X21)
& ~ p11(X21) )
| ~ r1(X20,X21) ) ) ) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) ) )
| ~ ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( p5(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& ( ~ p111(X20)
| p110(X20) )
& ( ~ p100(X20)
| ( ( ~ p1(X20)
| ! [X62] :
( ~ p100(X62)
| p1(X62)
| ~ r1(X20,X62) ) )
& ( p1(X20)
| ! [X61] :
( ~ p100(X61)
| ~ p1(X61)
| ~ r1(X20,X61) ) ) ) )
& ( ~ p101(X20)
| ( ( ~ p2(X20)
| ! [X60] :
( ~ p101(X60)
| p2(X60)
| ~ r1(X20,X60) ) )
& ( p2(X20)
| ! [X59] :
( ~ p101(X59)
| ~ p2(X59)
| ~ r1(X20,X59) ) ) ) )
& ( ~ p102(X20)
| ( ( ~ p3(X20)
| ! [X58] :
( ~ p102(X58)
| p3(X58)
| ~ r1(X20,X58) ) )
& ( p3(X20)
| ! [X57] :
( ~ p102(X57)
| ~ p3(X57)
| ~ r1(X20,X57) ) ) ) )
& ( ~ p103(X20)
| ( ( ~ p4(X20)
| ! [X56] :
( ~ p103(X56)
| p4(X56)
| ~ r1(X20,X56) ) )
& ( p4(X20)
| ! [X55] :
( ~ p103(X55)
| ~ p4(X55)
| ~ r1(X20,X55) ) ) ) )
& ( ~ p104(X20)
| ( ( ~ p5(X20)
| ! [X54] :
( ~ p104(X54)
| p5(X54)
| ~ r1(X20,X54) ) )
& ( p5(X20)
| ! [X53] :
( ~ p104(X53)
| ~ p5(X53)
| ~ r1(X20,X53) ) ) ) )
& ( ~ p105(X20)
| ( ( ~ p6(X20)
| ! [X52] :
( ~ p105(X52)
| p6(X52)
| ~ r1(X20,X52) ) )
& ( p6(X20)
| ! [X51] :
( ~ p105(X51)
| ~ p6(X51)
| ~ r1(X20,X51) ) ) ) )
& ( ~ p106(X20)
| ( ( ~ p7(X20)
| ! [X50] :
( ~ p106(X50)
| p7(X50)
| ~ r1(X20,X50) ) )
& ( p7(X20)
| ! [X49] :
( ~ p106(X49)
| ~ p7(X49)
| ~ r1(X20,X49) ) ) ) )
& ( ~ p107(X20)
| ( ( ~ p8(X20)
| ! [X48] :
( ~ p107(X48)
| p8(X48)
| ~ r1(X20,X48) ) )
& ( p8(X20)
| ! [X47] :
( ~ p107(X47)
| ~ p8(X47)
| ~ r1(X20,X47) ) ) ) )
& ( ~ p108(X20)
| ( ( ~ p9(X20)
| ! [X46] :
( ~ p108(X46)
| p9(X46)
| ~ r1(X20,X46) ) )
& ( p9(X20)
| ! [X45] :
( ~ p108(X45)
| ~ p9(X45)
| ~ r1(X20,X45) ) ) ) )
& ( ~ p109(X20)
| ( ( ~ p10(X20)
| ! [X44] :
( ~ p109(X44)
| p10(X44)
| ~ r1(X20,X44) ) )
& ( p10(X20)
| ! [X43] :
( ~ p109(X43)
| ~ p10(X43)
| ~ r1(X20,X43) ) ) ) )
& ( ~ p110(X20)
| ( ( ~ p11(X20)
| ! [X42] :
( ~ p110(X42)
| p11(X42)
| ~ r1(X20,X42) ) )
& ( p11(X20)
| ! [X41] :
( ~ p110(X41)
| ~ p11(X41)
| ~ r1(X20,X41) ) ) ) )
& ( ~ ( p100(X20)
& ~ p101(X20) )
| ( ~ ! [X40] :
( ~ ( p101(X40)
& ~ p102(X40)
& p2(X40) )
| ~ r1(X20,X40) )
& ~ ! [X39] :
( ~ ( p101(X39)
& ~ p102(X39)
& ~ p2(X39) )
| ~ r1(X20,X39) ) ) )
& ( ~ ( p101(X20)
& ~ p102(X20) )
| ( ~ ! [X38] :
( ~ ( p102(X38)
& ~ p103(X38)
& p3(X38) )
| ~ r1(X20,X38) )
& ~ ! [X37] :
( ~ ( p102(X37)
& ~ p103(X37)
& ~ p3(X37) )
| ~ r1(X20,X37) ) ) )
& ( ~ ( p102(X20)
& ~ p103(X20) )
| ( ~ ! [X36] :
( ~ ( p103(X36)
& ~ p104(X36)
& p4(X36) )
| ~ r1(X20,X36) )
& ~ ! [X35] :
( ~ ( p103(X35)
& ~ p104(X35)
& ~ p4(X35) )
| ~ r1(X20,X35) ) ) )
& ( ~ ( p103(X20)
& ~ p104(X20) )
| ( ~ ! [X34] :
( ~ ( p104(X34)
& ~ p105(X34)
& p5(X34) )
| ~ r1(X20,X34) )
& ~ ! [X33] :
( ~ ( p104(X33)
& ~ p105(X33)
& ~ p5(X33) )
| ~ r1(X20,X33) ) ) )
& ( ~ ( p104(X20)
& ~ p105(X20) )
| ( ~ ! [X32] :
( ~ ( p105(X32)
& ~ p106(X32)
& p6(X32) )
| ~ r1(X20,X32) )
& ~ ! [X31] :
( ~ ( p105(X31)
& ~ p106(X31)
& ~ p6(X31) )
| ~ r1(X20,X31) ) ) )
& ( ~ ( p105(X20)
& ~ p106(X20) )
| ( ~ ! [X30] :
( ~ ( p106(X30)
& ~ p107(X30)
& p7(X30) )
| ~ r1(X20,X30) )
& ~ ! [X29] :
( ~ ( p106(X29)
& ~ p107(X29)
& ~ p7(X29) )
| ~ r1(X20,X29) ) ) )
& ( ~ ( p106(X20)
& ~ p107(X20) )
| ( ~ ! [X28] :
( ~ ( p107(X28)
& ~ p108(X28)
& p8(X28) )
| ~ r1(X20,X28) )
& ~ ! [X27] :
( ~ ( p107(X27)
& ~ p108(X27)
& ~ p8(X27) )
| ~ r1(X20,X27) ) ) )
& ( ~ ( p107(X20)
& ~ p108(X20) )
| ( ~ ! [X26] :
( ~ ( p108(X26)
& ~ p109(X26)
& p9(X26) )
| ~ r1(X20,X26) )
& ~ ! [X25] :
( ~ ( p108(X25)
& ~ p109(X25)
& ~ p9(X25) )
| ~ r1(X20,X25) ) ) )
& ( ~ ( p108(X20)
& ~ p109(X20) )
| ( ~ ! [X24] :
( ~ ( p109(X24)
& ~ p110(X24)
& p10(X24) )
| ~ r1(X20,X24) )
& ~ ! [X23] :
( ~ ( p109(X23)
& ~ p110(X23)
& ~ p10(X23) )
| ~ r1(X20,X23) ) ) )
& ( ~ ( p109(X20)
& ~ p110(X20) )
| ( ~ ! [X22] :
( ~ ( p110(X22)
& ~ p111(X22)
& p11(X22) )
| ~ r1(X20,X22) )
& ~ ! [X21] :
( ~ ( p110(X21)
& ~ p111(X21)
& ~ p11(X21) )
| ~ r1(X20,X21) ) ) ) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) ) )
| ~ ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( p5(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& ( ~ p100(X20)
| ( ( ~ p1(X20)
| ! [X62] :
( ~ p100(X62)
| p1(X62)
| ~ r1(X20,X62) ) )
& ( p1(X20)
| ! [X61] :
( ~ p100(X61)
| ~ p1(X61)
| ~ r1(X20,X61) ) ) ) )
& ( ~ p101(X20)
| ( ( ~ p2(X20)
| ! [X60] :
( ~ p101(X60)
| p2(X60)
| ~ r1(X20,X60) ) )
& ( p2(X20)
| ! [X59] :
( ~ p101(X59)
| ~ p2(X59)
| ~ r1(X20,X59) ) ) ) )
& ( ~ p102(X20)
| ( ( ~ p3(X20)
| ! [X58] :
( ~ p102(X58)
| p3(X58)
| ~ r1(X20,X58) ) )
& ( p3(X20)
| ! [X57] :
( ~ p102(X57)
| ~ p3(X57)
| ~ r1(X20,X57) ) ) ) )
& ( ~ p103(X20)
| ( ( ~ p4(X20)
| ! [X56] :
( ~ p103(X56)
| p4(X56)
| ~ r1(X20,X56) ) )
& ( p4(X20)
| ! [X55] :
( ~ p103(X55)
| ~ p4(X55)
| ~ r1(X20,X55) ) ) ) )
& ( ~ p104(X20)
| ( ( ~ p5(X20)
| ! [X54] :
( ~ p104(X54)
| p5(X54)
| ~ r1(X20,X54) ) )
& ( p5(X20)
| ! [X53] :
( ~ p104(X53)
| ~ p5(X53)
| ~ r1(X20,X53) ) ) ) )
& ( ~ p105(X20)
| ( ( ~ p6(X20)
| ! [X52] :
( ~ p105(X52)
| p6(X52)
| ~ r1(X20,X52) ) )
& ( p6(X20)
| ! [X51] :
( ~ p105(X51)
| ~ p6(X51)
| ~ r1(X20,X51) ) ) ) )
& ( ~ p106(X20)
| ( ( ~ p7(X20)
| ! [X50] :
( ~ p106(X50)
| p7(X50)
| ~ r1(X20,X50) ) )
& ( p7(X20)
| ! [X49] :
( ~ p106(X49)
| ~ p7(X49)
| ~ r1(X20,X49) ) ) ) )
& ( ~ p107(X20)
| ( ( ~ p8(X20)
| ! [X48] :
( ~ p107(X48)
| p8(X48)
| ~ r1(X20,X48) ) )
& ( p8(X20)
| ! [X47] :
( ~ p107(X47)
| ~ p8(X47)
| ~ r1(X20,X47) ) ) ) )
& ( ~ p108(X20)
| ( ( ~ p9(X20)
| ! [X46] :
( ~ p108(X46)
| p9(X46)
| ~ r1(X20,X46) ) )
& ( p9(X20)
| ! [X45] :
( ~ p108(X45)
| ~ p9(X45)
| ~ r1(X20,X45) ) ) ) )
& ( ~ p109(X20)
| ( ( ~ p10(X20)
| ! [X44] :
( ~ p109(X44)
| p10(X44)
| ~ r1(X20,X44) ) )
& ( p10(X20)
| ! [X43] :
( ~ p109(X43)
| ~ p10(X43)
| ~ r1(X20,X43) ) ) ) )
& ( ~ p110(X20)
| ( ( ~ p11(X20)
| ! [X42] :
( ~ p110(X42)
| p11(X42)
| ~ r1(X20,X42) ) )
& ( p11(X20)
| ! [X41] :
( ~ p110(X41)
| ~ p11(X41)
| ~ r1(X20,X41) ) ) ) )
& ( ~ ( p100(X20)
& ~ p101(X20) )
| ( ~ ! [X40] :
( ~ ( p101(X40)
& ~ p102(X40)
& p2(X40) )
| ~ r1(X20,X40) )
& ~ ! [X39] :
( ~ ( p101(X39)
& ~ p102(X39)
& ~ p2(X39) )
| ~ r1(X20,X39) ) ) )
& ( ~ ( p101(X20)
& ~ p102(X20) )
| ( ~ ! [X38] :
( ~ ( p102(X38)
& ~ p103(X38)
& p3(X38) )
| ~ r1(X20,X38) )
& ~ ! [X37] :
( ~ ( p102(X37)
& ~ p103(X37)
& ~ p3(X37) )
| ~ r1(X20,X37) ) ) )
& ( ~ ( p102(X20)
& ~ p103(X20) )
| ( ~ ! [X36] :
( ~ ( p103(X36)
& ~ p104(X36)
& p4(X36) )
| ~ r1(X20,X36) )
& ~ ! [X35] :
( ~ ( p103(X35)
& ~ p104(X35)
& ~ p4(X35) )
| ~ r1(X20,X35) ) ) )
& ( ~ ( p103(X20)
& ~ p104(X20) )
| ( ~ ! [X34] :
( ~ ( p104(X34)
& ~ p105(X34)
& p5(X34) )
| ~ r1(X20,X34) )
& ~ ! [X33] :
( ~ ( p104(X33)
& ~ p105(X33)
& ~ p5(X33) )
| ~ r1(X20,X33) ) ) )
& ( ~ ( p104(X20)
& ~ p105(X20) )
| ( ~ ! [X32] :
( ~ ( p105(X32)
& ~ p106(X32)
& p6(X32) )
| ~ r1(X20,X32) )
& ~ ! [X31] :
( ~ ( p105(X31)
& ~ p106(X31)
& ~ p6(X31) )
| ~ r1(X20,X31) ) ) )
& ( ~ ( p105(X20)
& ~ p106(X20) )
| ( ~ ! [X30] :
( ~ ( p106(X30)
& ~ p107(X30)
& p7(X30) )
| ~ r1(X20,X30) )
& ~ ! [X29] :
( ~ ( p106(X29)
& ~ p107(X29)
& ~ p7(X29) )
| ~ r1(X20,X29) ) ) )
& ( ~ ( p106(X20)
& ~ p107(X20) )
| ( ~ ! [X28] :
( ~ ( p107(X28)
& ~ p108(X28)
& p8(X28) )
| ~ r1(X20,X28) )
& ~ ! [X27] :
( ~ ( p107(X27)
& ~ p108(X27)
& ~ p8(X27) )
| ~ r1(X20,X27) ) ) )
& ( ~ ( p107(X20)
& ~ p108(X20) )
| ( ~ ! [X26] :
( ~ ( p108(X26)
& ~ p109(X26)
& p9(X26) )
| ~ r1(X20,X26) )
& ~ ! [X25] :
( ~ ( p108(X25)
& ~ p109(X25)
& ~ p9(X25) )
| ~ r1(X20,X25) ) ) )
& ( ~ ( p108(X20)
& ~ p109(X20) )
| ( ~ ! [X24] :
( ~ ( p109(X24)
& ~ p110(X24)
& p10(X24) )
| ~ r1(X20,X24) )
& ~ ! [X23] :
( ~ ( p109(X23)
& ~ p110(X23)
& ~ p10(X23) )
| ~ r1(X20,X23) ) ) )
& ( ~ ( p109(X20)
& ~ p110(X20) )
| ( ~ ! [X22] :
( ~ ( p110(X22)
& p11(X22) )
| ~ r1(X20,X22) )
& ~ ! [X21] :
( ~ ( p110(X21)
& ~ p11(X21) )
| ~ r1(X20,X21) ) ) ) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) ) )
| ~ ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( p5(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f7,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& ( ~ p100(X20)
| ( ( ~ p1(X20)
| ! [X62] :
( ~ p100(X62)
| p1(X62)
| ~ r1(X20,X62) ) )
& ( p1(X20)
| ! [X61] :
( ~ p100(X61)
| ~ p1(X61)
| ~ r1(X20,X61) ) ) ) )
& ( ~ p101(X20)
| ( ( ~ p2(X20)
| ! [X60] :
( ~ p101(X60)
| p2(X60)
| ~ r1(X20,X60) ) )
& ( p2(X20)
| ! [X59] :
( ~ p101(X59)
| ~ p2(X59)
| ~ r1(X20,X59) ) ) ) )
& ( ~ p102(X20)
| ( ( ~ p3(X20)
| ! [X58] :
( ~ p102(X58)
| p3(X58)
| ~ r1(X20,X58) ) )
& ( p3(X20)
| ! [X57] :
( ~ p102(X57)
| ~ p3(X57)
| ~ r1(X20,X57) ) ) ) )
& ( ~ p103(X20)
| ( ( ~ p4(X20)
| ! [X56] :
( ~ p103(X56)
| p4(X56)
| ~ r1(X20,X56) ) )
& ( p4(X20)
| ! [X55] :
( ~ p103(X55)
| ~ p4(X55)
| ~ r1(X20,X55) ) ) ) )
& ( ~ p104(X20)
| ( ( ~ p5(X20)
| ! [X54] :
( ~ p104(X54)
| p5(X54)
| ~ r1(X20,X54) ) )
& ( p5(X20)
| ! [X53] :
( ~ p104(X53)
| ~ p5(X53)
| ~ r1(X20,X53) ) ) ) )
& ( ~ p105(X20)
| ( ( ~ p6(X20)
| ! [X52] :
( ~ p105(X52)
| p6(X52)
| ~ r1(X20,X52) ) )
& ( p6(X20)
| ! [X51] :
( ~ p105(X51)
| ~ p6(X51)
| ~ r1(X20,X51) ) ) ) )
& ( ~ p106(X20)
| ( ( ~ p7(X20)
| ! [X50] :
( ~ p106(X50)
| p7(X50)
| ~ r1(X20,X50) ) )
& ( p7(X20)
| ! [X49] :
( ~ p106(X49)
| ~ p7(X49)
| ~ r1(X20,X49) ) ) ) )
& ( ~ p107(X20)
| ( ( ~ p8(X20)
| ! [X48] :
( ~ p107(X48)
| p8(X48)
| ~ r1(X20,X48) ) )
& ( p8(X20)
| ! [X47] :
( ~ p107(X47)
| ~ p8(X47)
| ~ r1(X20,X47) ) ) ) )
& ( ~ p108(X20)
| ( ( ~ p9(X20)
| ! [X46] :
( ~ p108(X46)
| p9(X46)
| ~ r1(X20,X46) ) )
& ( p9(X20)
| ! [X45] :
( ~ p108(X45)
| ~ p9(X45)
| ~ r1(X20,X45) ) ) ) )
& ( ~ p109(X20)
| ( ( ~ p10(X20)
| ! [X44] :
( ~ p109(X44)
| p10(X44)
| ~ r1(X20,X44) ) )
& ( p10(X20)
| ! [X43] :
( ~ p109(X43)
| ~ p10(X43)
| ~ r1(X20,X43) ) ) ) )
& ( ~ p110(X20)
| ( ( ~ p11(X20)
| ! [X42] :
( ~ p110(X42)
| p11(X42)
| ~ r1(X20,X42) ) )
& ( p11(X20)
| ! [X41] :
( ~ p110(X41)
| ~ p11(X41)
| ~ r1(X20,X41) ) ) ) )
& ( ~ p100(X20)
| p101(X20)
| ( ? [X40] :
( p101(X40)
& ~ p102(X40)
& p2(X40)
& r1(X20,X40) )
& ? [X39] :
( p101(X39)
& ~ p102(X39)
& ~ p2(X39)
& r1(X20,X39) ) ) )
& ( ~ p101(X20)
| p102(X20)
| ( ? [X38] :
( p102(X38)
& ~ p103(X38)
& p3(X38)
& r1(X20,X38) )
& ? [X37] :
( p102(X37)
& ~ p103(X37)
& ~ p3(X37)
& r1(X20,X37) ) ) )
& ( ~ p102(X20)
| p103(X20)
| ( ? [X36] :
( p103(X36)
& ~ p104(X36)
& p4(X36)
& r1(X20,X36) )
& ? [X35] :
( p103(X35)
& ~ p104(X35)
& ~ p4(X35)
& r1(X20,X35) ) ) )
& ( ~ p103(X20)
| p104(X20)
| ( ? [X34] :
( p104(X34)
& ~ p105(X34)
& p5(X34)
& r1(X20,X34) )
& ? [X33] :
( p104(X33)
& ~ p105(X33)
& ~ p5(X33)
& r1(X20,X33) ) ) )
& ( ~ p104(X20)
| p105(X20)
| ( ? [X32] :
( p105(X32)
& ~ p106(X32)
& p6(X32)
& r1(X20,X32) )
& ? [X31] :
( p105(X31)
& ~ p106(X31)
& ~ p6(X31)
& r1(X20,X31) ) ) )
& ( ~ p105(X20)
| p106(X20)
| ( ? [X30] :
( p106(X30)
& ~ p107(X30)
& p7(X30)
& r1(X20,X30) )
& ? [X29] :
( p106(X29)
& ~ p107(X29)
& ~ p7(X29)
& r1(X20,X29) ) ) )
& ( ~ p106(X20)
| p107(X20)
| ( ? [X28] :
( p107(X28)
& ~ p108(X28)
& p8(X28)
& r1(X20,X28) )
& ? [X27] :
( p107(X27)
& ~ p108(X27)
& ~ p8(X27)
& r1(X20,X27) ) ) )
& ( ~ p107(X20)
| p108(X20)
| ( ? [X26] :
( p108(X26)
& ~ p109(X26)
& p9(X26)
& r1(X20,X26) )
& ? [X25] :
( p108(X25)
& ~ p109(X25)
& ~ p9(X25)
& r1(X20,X25) ) ) )
& ( ~ p108(X20)
| p109(X20)
| ( ? [X24] :
( p109(X24)
& ~ p110(X24)
& p10(X24)
& r1(X20,X24) )
& ? [X23] :
( p109(X23)
& ~ p110(X23)
& ~ p10(X23)
& r1(X20,X23) ) ) )
& ( ~ p109(X20)
| p110(X20)
| ( ? [X22] :
( p110(X22)
& p11(X22)
& r1(X20,X22) )
& ? [X21] :
( p110(X21)
& ~ p11(X21)
& r1(X20,X21) ) ) ) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( p5(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& ( ~ p100(X20)
| ( ( ~ p1(X20)
| ! [X62] :
( ~ p100(X62)
| p1(X62)
| ~ r1(X20,X62) ) )
& ( p1(X20)
| ! [X61] :
( ~ p100(X61)
| ~ p1(X61)
| ~ r1(X20,X61) ) ) ) )
& ( ~ p101(X20)
| ( ( ~ p2(X20)
| ! [X60] :
( ~ p101(X60)
| p2(X60)
| ~ r1(X20,X60) ) )
& ( p2(X20)
| ! [X59] :
( ~ p101(X59)
| ~ p2(X59)
| ~ r1(X20,X59) ) ) ) )
& ( ~ p102(X20)
| ( ( ~ p3(X20)
| ! [X58] :
( ~ p102(X58)
| p3(X58)
| ~ r1(X20,X58) ) )
& ( p3(X20)
| ! [X57] :
( ~ p102(X57)
| ~ p3(X57)
| ~ r1(X20,X57) ) ) ) )
& ( ~ p103(X20)
| ( ( ~ p4(X20)
| ! [X56] :
( ~ p103(X56)
| p4(X56)
| ~ r1(X20,X56) ) )
& ( p4(X20)
| ! [X55] :
( ~ p103(X55)
| ~ p4(X55)
| ~ r1(X20,X55) ) ) ) )
& ( ~ p104(X20)
| ( ( ~ p5(X20)
| ! [X54] :
( ~ p104(X54)
| p5(X54)
| ~ r1(X20,X54) ) )
& ( p5(X20)
| ! [X53] :
( ~ p104(X53)
| ~ p5(X53)
| ~ r1(X20,X53) ) ) ) )
& ( ~ p105(X20)
| ( ( ~ p6(X20)
| ! [X52] :
( ~ p105(X52)
| p6(X52)
| ~ r1(X20,X52) ) )
& ( p6(X20)
| ! [X51] :
( ~ p105(X51)
| ~ p6(X51)
| ~ r1(X20,X51) ) ) ) )
& ( ~ p106(X20)
| ( ( ~ p7(X20)
| ! [X50] :
( ~ p106(X50)
| p7(X50)
| ~ r1(X20,X50) ) )
& ( p7(X20)
| ! [X49] :
( ~ p106(X49)
| ~ p7(X49)
| ~ r1(X20,X49) ) ) ) )
& ( ~ p107(X20)
| ( ( ~ p8(X20)
| ! [X48] :
( ~ p107(X48)
| p8(X48)
| ~ r1(X20,X48) ) )
& ( p8(X20)
| ! [X47] :
( ~ p107(X47)
| ~ p8(X47)
| ~ r1(X20,X47) ) ) ) )
& ( ~ p108(X20)
| ( ( ~ p9(X20)
| ! [X46] :
( ~ p108(X46)
| p9(X46)
| ~ r1(X20,X46) ) )
& ( p9(X20)
| ! [X45] :
( ~ p108(X45)
| ~ p9(X45)
| ~ r1(X20,X45) ) ) ) )
& ( ~ p109(X20)
| ( ( ~ p10(X20)
| ! [X44] :
( ~ p109(X44)
| p10(X44)
| ~ r1(X20,X44) ) )
& ( p10(X20)
| ! [X43] :
( ~ p109(X43)
| ~ p10(X43)
| ~ r1(X20,X43) ) ) ) )
& ( ~ p110(X20)
| ( ( ~ p11(X20)
| ! [X42] :
( ~ p110(X42)
| p11(X42)
| ~ r1(X20,X42) ) )
& ( p11(X20)
| ! [X41] :
( ~ p110(X41)
| ~ p11(X41)
| ~ r1(X20,X41) ) ) ) )
& ( ~ p100(X20)
| p101(X20)
| ( ? [X40] :
( p101(X40)
& ~ p102(X40)
& p2(X40)
& r1(X20,X40) )
& ? [X39] :
( p101(X39)
& ~ p102(X39)
& ~ p2(X39)
& r1(X20,X39) ) ) )
& ( ~ p101(X20)
| p102(X20)
| ( ? [X38] :
( p102(X38)
& ~ p103(X38)
& p3(X38)
& r1(X20,X38) )
& ? [X37] :
( p102(X37)
& ~ p103(X37)
& ~ p3(X37)
& r1(X20,X37) ) ) )
& ( ~ p102(X20)
| p103(X20)
| ( ? [X36] :
( p103(X36)
& ~ p104(X36)
& p4(X36)
& r1(X20,X36) )
& ? [X35] :
( p103(X35)
& ~ p104(X35)
& ~ p4(X35)
& r1(X20,X35) ) ) )
& ( ~ p103(X20)
| p104(X20)
| ( ? [X34] :
( p104(X34)
& ~ p105(X34)
& p5(X34)
& r1(X20,X34) )
& ? [X33] :
( p104(X33)
& ~ p105(X33)
& ~ p5(X33)
& r1(X20,X33) ) ) )
& ( ~ p104(X20)
| p105(X20)
| ( ? [X32] :
( p105(X32)
& ~ p106(X32)
& p6(X32)
& r1(X20,X32) )
& ? [X31] :
( p105(X31)
& ~ p106(X31)
& ~ p6(X31)
& r1(X20,X31) ) ) )
& ( ~ p105(X20)
| p106(X20)
| ( ? [X30] :
( p106(X30)
& ~ p107(X30)
& p7(X30)
& r1(X20,X30) )
& ? [X29] :
( p106(X29)
& ~ p107(X29)
& ~ p7(X29)
& r1(X20,X29) ) ) )
& ( ~ p106(X20)
| p107(X20)
| ( ? [X28] :
( p107(X28)
& ~ p108(X28)
& p8(X28)
& r1(X20,X28) )
& ? [X27] :
( p107(X27)
& ~ p108(X27)
& ~ p8(X27)
& r1(X20,X27) ) ) )
& ( ~ p107(X20)
| p108(X20)
| ( ? [X26] :
( p108(X26)
& ~ p109(X26)
& p9(X26)
& r1(X20,X26) )
& ? [X25] :
( p108(X25)
& ~ p109(X25)
& ~ p9(X25)
& r1(X20,X25) ) ) )
& ( ~ p108(X20)
| p109(X20)
| ( ? [X24] :
( p109(X24)
& ~ p110(X24)
& p10(X24)
& r1(X20,X24) )
& ? [X23] :
( p109(X23)
& ~ p110(X23)
& ~ p10(X23)
& r1(X20,X23) ) ) )
& ( ~ p109(X20)
| p110(X20)
| ( ? [X22] :
( p110(X22)
& p11(X22)
& r1(X20,X22) )
& ? [X21] :
( p110(X21)
& ~ p11(X21)
& r1(X20,X21) ) ) ) )
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( p5(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(flattening,[],[f7]) ).
fof(f32,plain,
! [X20] :
( ~ sP21(X20)
| ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& sP10(X20)
& sP11(X20)
& sP12(X20)
& sP13(X20)
& sP14(X20)
& sP15(X20)
& sP16(X20)
& sP17(X20)
& sP18(X20)
& sP19(X20)
& sP20(X20)
& sP0(X20)
& sP1(X20)
& sP2(X20)
& sP3(X20)
& sP4(X20)
& sP5(X20)
& sP6(X20)
& sP7(X20)
& sP8(X20)
& sP9(X20) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f33,plain,
! [X0] :
( ~ sP21(X0)
| ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& ( ~ p106(X0)
| p105(X0) )
& ( ~ p107(X0)
| p106(X0) )
& ( ~ p108(X0)
| p107(X0) )
& ( ~ p109(X0)
| p108(X0) )
& ( ~ p110(X0)
| p109(X0) )
& sP10(X0)
& sP11(X0)
& sP12(X0)
& sP13(X0)
& sP14(X0)
& sP15(X0)
& sP16(X0)
& sP17(X0)
& sP18(X0)
& sP19(X0)
& sP20(X0)
& sP0(X0)
& sP1(X0)
& sP2(X0)
& sP3(X0)
& sP4(X0)
& sP5(X0)
& sP6(X0)
& sP7(X0)
& sP8(X0)
& sP9(X0) ) ),
inference(rectify,[],[f32]) ).
fof(f74,plain,
! [X20] :
( ~ sP3(X20)
| ~ p103(X20)
| p104(X20)
| ( ? [X34] :
( p104(X34)
& ~ p105(X34)
& p5(X34)
& r1(X20,X34) )
& ? [X33] :
( p104(X33)
& ~ p105(X33)
& ~ p5(X33)
& r1(X20,X33) ) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f75,plain,
! [X0] :
( ~ sP3(X0)
| ~ p103(X0)
| p104(X0)
| ( ? [X2] :
( p104(X2)
& ~ p105(X2)
& p5(X2)
& r1(X0,X2) )
& ? [X1] :
( p104(X1)
& ~ p105(X1)
& ~ p5(X1)
& r1(X0,X1) ) ) ),
inference(rectify,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ~ sP3(X0)
| ~ p103(X0)
| p104(X0)
| ( p104(sK35(X0))
& ~ p105(sK35(X0))
& p5(sK35(X0))
& r1(X0,sK35(X0))
& p104(sK34(X0))
& ~ p105(sK34(X0))
& ~ p5(sK34(X0))
& r1(X0,sK34(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35]),skolemize(X1,sK34(X0)),skolemize(X2,sK35(X0))],[f75]) ).
fof(f77,plain,
! [X20] :
( ~ sP2(X20)
| ~ p102(X20)
| p103(X20)
| ( ? [X36] :
( p103(X36)
& ~ p104(X36)
& p4(X36)
& r1(X20,X36) )
& ? [X35] :
( p103(X35)
& ~ p104(X35)
& ~ p4(X35)
& r1(X20,X35) ) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f78,plain,
! [X0] :
( ~ sP2(X0)
| ~ p102(X0)
| p103(X0)
| ( ? [X2] :
( p103(X2)
& ~ p104(X2)
& p4(X2)
& r1(X0,X2) )
& ? [X1] :
( p103(X1)
& ~ p104(X1)
& ~ p4(X1)
& r1(X0,X1) ) ) ),
inference(rectify,[],[f77]) ).
fof(f79,plain,
! [X0] :
( ~ sP2(X0)
| ~ p102(X0)
| p103(X0)
| ( p103(sK37(X0))
& ~ p104(sK37(X0))
& p4(sK37(X0))
& r1(X0,sK37(X0))
& p103(sK36(X0))
& ~ p104(sK36(X0))
& ~ p4(sK36(X0))
& r1(X0,sK36(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37]),skolemize(X1,sK36(X0)),skolemize(X2,sK37(X0))],[f78]) ).
fof(f80,plain,
! [X20] :
( ~ sP1(X20)
| ~ p101(X20)
| p102(X20)
| ( ? [X38] :
( p102(X38)
& ~ p103(X38)
& p3(X38)
& r1(X20,X38) )
& ? [X37] :
( p102(X37)
& ~ p103(X37)
& ~ p3(X37)
& r1(X20,X37) ) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f81,plain,
! [X0] :
( ~ sP1(X0)
| ~ p101(X0)
| p102(X0)
| ( ? [X2] :
( p102(X2)
& ~ p103(X2)
& p3(X2)
& r1(X0,X2) )
& ? [X1] :
( p102(X1)
& ~ p103(X1)
& ~ p3(X1)
& r1(X0,X1) ) ) ),
inference(rectify,[],[f80]) ).
fof(f82,plain,
! [X0] :
( ~ sP1(X0)
| ~ p101(X0)
| p102(X0)
| ( p102(sK39(X0))
& ~ p103(sK39(X0))
& p3(sK39(X0))
& r1(X0,sK39(X0))
& p102(sK38(X0))
& ~ p103(sK38(X0))
& ~ p3(sK38(X0))
& r1(X0,sK38(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38,sK39]),skolemize(X1,sK38(X0)),skolemize(X2,sK39(X0))],[f81]) ).
fof(f86,plain,
( p100(sK42)
& ~ p101(sK42)
& ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( sP21(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(sK42,X11) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( p5(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(sK42,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42]),skolemize(X0,sK42)],[f31]) ).
fof(f87,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f109,plain,
! [X0] :
( ~ sP21(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f110,plain,
! [X0] :
( ~ sP21(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f111,plain,
! [X0] :
( ~ sP21(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f112,plain,
! [X0] :
( ~ sP21(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f193,plain,
! [X0] :
( ~ sP3(X0)
| ~ p103(X0)
| p104(X0)
| ~ p5(sK34(X0)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f194,plain,
! [X0] :
( ~ sP3(X0)
| ~ p103(X0)
| p104(X0)
| r1(X0,sK34(X0)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f199,plain,
! [X0] :
( ~ sP2(X0)
| ~ p102(X0)
| p103(X0)
| p103(sK36(X0)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f200,plain,
! [X0] :
( ~ sP2(X0)
| ~ p102(X0)
| p103(X0)
| ~ p104(sK36(X0)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f202,plain,
! [X0] :
( ~ sP2(X0)
| ~ p102(X0)
| p103(X0)
| r1(X0,sK36(X0)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f207,plain,
! [X0] :
( ~ sP1(X0)
| ~ p101(X0)
| p102(X0)
| p102(sK38(X0)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f208,plain,
! [X0] :
( ~ sP1(X0)
| ~ p101(X0)
| p102(X0)
| ~ p103(sK38(X0)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f210,plain,
! [X0] :
( ~ sP1(X0)
| ~ p101(X0)
| p102(X0)
| r1(X0,sK38(X0)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f219,plain,
p100(sK42),
inference(cnf_transformation,[],[f86]) ).
fof(f220,plain,
~ p101(sK42),
inference(cnf_transformation,[],[f86]) ).
fof(f221,plain,
! [X11,X18,X19,X16,X14,X17,X15,X12,X13,X20] :
( sP21(X20)
| ~ r1(X19,X20)
| ~ r1(X18,X19)
| ~ r1(X17,X18)
| ~ r1(X16,X17)
| ~ r1(X15,X16)
| ~ r1(X14,X15)
| ~ r1(X13,X14)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(sK42,X11) ),
inference(cnf_transformation,[],[f86]) ).
fof(f222,plain,
! [X2,X3,X10,X1,X8,X6,X9,X7,X4,X5] :
( p5(X10)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(sK42,X1) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_49,plain,
! [X0: $i] : r1(X0,X0),
inference(cnf_transformation,[],[f87]) ).
tcf(c_56,plain,
! [X0: $i] :
( sP3(X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_57,plain,
! [X0: $i] :
( sP2(X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_58,plain,
! [X0: $i] :
( sP1(X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_59,plain,
! [X0: $i] :
( sP0(X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_149,plain,
! [X0: $i] :
( p104(X0)
| r1(X0,sK34(X0))
| ~ p103(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_150,plain,
! [X0: $i] :
( p104(X0)
| ~ p103(X0)
| ~ sP3(X0)
| ~ p5(sK34(X0)) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_157,plain,
! [X0: $i] :
( p103(X0)
| r1(X0,sK36(X0))
| ~ p102(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_159,plain,
! [X0: $i] :
( p103(X0)
| ~ p102(X0)
| ~ sP2(X0)
| ~ p104(sK36(X0)) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_160,plain,
! [X0: $i] :
( p103(X0)
| p103(sK36(X0))
| ~ p102(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_165,plain,
! [X0: $i] :
( p102(X0)
| r1(X0,sK38(X0))
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_167,plain,
! [X0: $i] :
( p102(X0)
| ~ p101(X0)
| ~ sP1(X0)
| ~ p103(sK38(X0)) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_168,plain,
! [X0: $i] :
( p102(X0)
| p102(sK38(X0))
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_181,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( p5(X9)
| ~ r1(sK42,X0)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_182,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sP21(X9)
| ~ r1(sK42,X0)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_183,negated_conjecture,
~ p101(sK42),
inference(cnf_transformation,[],[f220]) ).
tcf(c_184,negated_conjecture,
p100(sK42),
inference(cnf_transformation,[],[f219]) ).
tcf(c_185,plain,
r1(sK42,sK42),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_197,plain,
( sP0(sK42)
| ~ sP21(sK42) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_286,plain,
( sP21(sK42)
| ~ r1(sK42,sK42) ),
inference(instantiation,[status(thm)],[c_182]) ).
tcf(c_2782,plain,
! [X0: $i] :
( p104(X0)
| ~ p103(X0)
| ~ sP21(X0)
| ~ p5(sK34(X0)) ),
inference(resolution,[status(thm)],[c_56,c_150]) ).
tcf(c_2796,plain,
! [X0: $i] :
( p104(X0)
| r1(X0,sK34(X0))
| ~ p103(X0)
| ~ sP21(X0) ),
inference(resolution,[status(thm)],[c_56,c_149]) ).
tcf(c_2898,plain,
! [X0: $i] :
( p103(X0)
| p103(sK36(X0))
| ~ p102(X0)
| ~ sP21(X0) ),
inference(resolution,[status(thm)],[c_57,c_160]) ).
tcf(c_2912,plain,
! [X0: $i] :
( p103(X0)
| ~ p102(X0)
| ~ sP21(X0)
| ~ p104(sK36(X0)) ),
inference(resolution,[status(thm)],[c_57,c_159]) ).
tcf(c_2940,plain,
! [X0: $i] :
( p103(X0)
| r1(X0,sK36(X0))
| ~ p102(X0)
| ~ sP21(X0) ),
inference(resolution,[status(thm)],[c_57,c_157]) ).
tcf(c_3038,plain,
! [X0: $i] :
( p102(X0)
| p102(sK38(X0))
| ~ p101(X0)
| ~ sP21(X0) ),
inference(resolution,[status(thm)],[c_58,c_168]) ).
tcf(c_3051,plain,
! [X0: $i] :
( p102(X0)
| ~ p101(X0)
| ~ sP21(X0)
| ~ p103(sK38(X0)) ),
inference(resolution,[status(thm)],[c_58,c_167]) ).
tcf(c_3077,plain,
! [X0: $i] :
( p102(X0)
| r1(X0,sK38(X0))
| ~ p101(X0)
| ~ sP21(X0) ),
inference(resolution,[status(thm)],[c_58,c_165]) ).
tcf(c_3330,plain,
( p102(sK40(sK42))
| r1(sK40(sK42),sK38(sK40(sK42)))
| ~ p101(sK40(sK42))
| ~ sP21(sK40(sK42)) ),
inference(instantiation,[status(thm)],[c_3077]) ).
tcf(c_3331,plain,
( p102(sK40(sK42))
| p102(sK38(sK40(sK42)))
| ~ p101(sK40(sK42))
| ~ sP21(sK40(sK42)) ),
inference(instantiation,[status(thm)],[c_3038]) ).
tcf(c_3346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP21(sK40(sK42))
| ~ r1(sK42,X1)
| ~ r1(X8,X0)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,sK40(sK42)) ),
inference(instantiation,[status(thm)],[c_182]) ).
tcf(c_3347,plain,
( sP21(sK40(sK42))
| ~ r1(sK42,sK42)
| ~ r1(sK42,sK40(sK42)) ),
inference(instantiation,[status(thm)],[c_3346]) ).
tcf(c_3369,plain,
( p103(sK38(sK40(sK42)))
| r1(sK38(sK40(sK42)),sK36(sK38(sK40(sK42))))
| ~ p102(sK38(sK40(sK42)))
| ~ sP21(sK38(sK40(sK42))) ),
inference(instantiation,[status(thm)],[c_2940]) ).
tcf(c_3371,plain,
( p103(sK38(sK40(sK42)))
| ~ p102(sK38(sK40(sK42)))
| ~ sP21(sK38(sK40(sK42)))
| ~ p104(sK36(sK38(sK40(sK42)))) ),
inference(instantiation,[status(thm)],[c_2912]) ).
tcf(c_3372,plain,
( p103(sK38(sK40(sK42)))
| p103(sK36(sK38(sK40(sK42))))
| ~ p102(sK38(sK40(sK42)))
| ~ sP21(sK38(sK40(sK42))) ),
inference(instantiation,[status(thm)],[c_2898]) ).
tcf(c_3415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP21(sK38(sK40(sK42)))
| ~ r1(sK42,X1)
| ~ r1(X8,X0)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,sK38(sK40(sK42))) ),
inference(instantiation,[status(thm)],[c_182]) ).
tcf(c_3495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP21(sK38(sK40(sK42)))
| ~ r1(sK42,X1)
| ~ r1(X7,X0)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,sK40(sK42))
| ~ r1(sK40(sK42),sK38(sK40(sK42))) ),
inference(instantiation,[status(thm)],[c_3415]) ).
tcf(c_3496,plain,
( sP21(sK38(sK40(sK42)))
| ~ r1(sK42,sK42)
| ~ r1(sK42,sK40(sK42))
| ~ r1(sK40(sK42),sK38(sK40(sK42))) ),
inference(instantiation,[status(thm)],[c_3495]) ).
tcf(c_3520,plain,
( p102(sK40(sK42))
| ~ p101(sK40(sK42))
| ~ sP21(sK40(sK42))
| ~ p103(sK38(sK40(sK42))) ),
inference(instantiation,[status(thm)],[c_3051]) ).
tcf(c_3862,plain,
( p104(sK36(sK38(sK40(sK42))))
| r1(sK36(sK38(sK40(sK42))),sK34(sK36(sK38(sK40(sK42)))))
| ~ p103(sK36(sK38(sK40(sK42))))
| ~ sP21(sK36(sK38(sK40(sK42)))) ),
inference(instantiation,[status(thm)],[c_2796]) ).
tcf(c_3863,plain,
( p104(sK36(sK38(sK40(sK42))))
| ~ p103(sK36(sK38(sK40(sK42))))
| ~ sP21(sK36(sK38(sK40(sK42))))
| ~ p5(sK34(sK36(sK38(sK40(sK42))))) ),
inference(instantiation,[status(thm)],[c_2782]) ).
tcf(c_4038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sP21(sK36(sK38(sK40(sK42))))
| ~ r1(sK42,X1)
| ~ r1(X8,X0)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,sK36(sK38(sK40(sK42)))) ),
inference(instantiation,[status(thm)],[c_182]) ).
tcf(c_4238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sP21(sK36(sK38(sK40(sK42))))
| ~ r1(sK42,X1)
| ~ r1(X7,X0)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,sK38(sK40(sK42)))
| ~ r1(sK38(sK40(sK42)),sK36(sK38(sK40(sK42)))) ),
inference(instantiation,[status(thm)],[c_4038]) ).
tcf(c_4264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP21(sK36(sK38(sK40(sK42))))
| ~ r1(sK42,X1)
| ~ r1(X6,X0)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,sK40(sK42))
| ~ r1(sK40(sK42),sK38(sK40(sK42)))
| ~ r1(sK38(sK40(sK42)),sK36(sK38(sK40(sK42)))) ),
inference(instantiation,[status(thm)],[c_4238]) ).
tcf(c_4265,plain,
( sP21(sK36(sK38(sK40(sK42))))
| ~ r1(sK42,sK42)
| ~ r1(sK42,sK40(sK42))
| ~ r1(sK40(sK42),sK38(sK40(sK42)))
| ~ r1(sK38(sK40(sK42)),sK36(sK38(sK40(sK42)))) ),
inference(instantiation,[status(thm)],[c_4264]) ).
tcf(c_4317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( p5(sK34(sK36(sK38(sK40(sK42)))))
| ~ r1(sK42,X1)
| ~ r1(X8,X0)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,sK34(sK36(sK38(sK40(sK42))))) ),
inference(instantiation,[status(thm)],[c_181]) ).
tcf(c_4773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( p5(sK34(sK36(sK38(sK40(sK42)))))
| ~ r1(sK42,X1)
| ~ r1(X7,X0)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,sK36(sK38(sK40(sK42))))
| ~ r1(sK36(sK38(sK40(sK42))),sK34(sK36(sK38(sK40(sK42))))) ),
inference(instantiation,[status(thm)],[c_4317]) ).
tcf(c_5603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( p5(sK34(sK36(sK38(sK40(sK42)))))
| ~ r1(sK42,X1)
| ~ r1(X6,X0)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,sK38(sK40(sK42)))
| ~ r1(sK38(sK40(sK42)),sK36(sK38(sK40(sK42))))
| ~ r1(sK36(sK38(sK40(sK42))),sK34(sK36(sK38(sK40(sK42))))) ),
inference(instantiation,[status(thm)],[c_4773]) ).
tcf(c_6467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( p5(sK34(sK36(sK38(sK40(sK42)))))
| ~ r1(sK42,X1)
| ~ r1(X5,X0)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,sK40(sK42))
| ~ r1(sK40(sK42),sK38(sK40(sK42)))
| ~ r1(sK38(sK40(sK42)),sK36(sK38(sK40(sK42))))
| ~ r1(sK36(sK38(sK40(sK42))),sK34(sK36(sK38(sK40(sK42))))) ),
inference(instantiation,[status(thm)],[c_5603]) ).
tcf(c_6468,plain,
( p5(sK34(sK36(sK38(sK40(sK42)))))
| ~ r1(sK42,sK42)
| ~ r1(sK42,sK40(sK42))
| ~ r1(sK40(sK42),sK38(sK40(sK42)))
| ~ r1(sK38(sK40(sK42)),sK36(sK38(sK40(sK42))))
| ~ r1(sK36(sK38(sK40(sK42))),sK34(sK36(sK38(sK40(sK42))))) ),
inference(instantiation,[status(thm)],[c_6467]) ).
fof(f9,definition,
! [X20] :
( ~ sP0(X20)
| ~ p100(X20)
| p101(X20)
| ( ? [X40] :
( p101(X40)
& ~ p102(X40)
& p2(X40)
& r1(X20,X40) )
& ? [X39] :
( p101(X39)
& ~ p102(X39)
& ~ p2(X39)
& r1(X20,X39) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f10,definition,
! [X20] :
( ~ sP1(X20)
| ~ p101(X20)
| p102(X20)
| ( ? [X38] :
( p102(X38)
& ~ p103(X38)
& p3(X38)
& r1(X20,X38) )
& ? [X37] :
( p102(X37)
& ~ p103(X37)
& ~ p3(X37)
& r1(X20,X37) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f11,definition,
! [X20] :
( ~ sP2(X20)
| ~ p102(X20)
| p103(X20)
| ( ? [X36] :
( p103(X36)
& ~ p104(X36)
& p4(X36)
& r1(X20,X36) )
& ? [X35] :
( p103(X35)
& ~ p104(X35)
& ~ p4(X35)
& r1(X20,X35) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X20] :
( ~ sP3(X20)
| ~ p103(X20)
| p104(X20)
| ( ? [X34] :
( p104(X34)
& ~ p105(X34)
& p5(X34)
& r1(X20,X34) )
& ? [X33] :
( p104(X33)
& ~ p105(X33)
& ~ p5(X33)
& r1(X20,X33) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X20] :
( ~ sP4(X20)
| ~ p104(X20)
| p105(X20)
| ( ? [X32] :
( p105(X32)
& ~ p106(X32)
& p6(X32)
& r1(X20,X32) )
& ? [X31] :
( p105(X31)
& ~ p106(X31)
& ~ p6(X31)
& r1(X20,X31) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X20] :
( ~ sP5(X20)
| ~ p105(X20)
| p106(X20)
| ( ? [X30] :
( p106(X30)
& ~ p107(X30)
& p7(X30)
& r1(X20,X30) )
& ? [X29] :
( p106(X29)
& ~ p107(X29)
& ~ p7(X29)
& r1(X20,X29) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X20] :
( ~ sP6(X20)
| ~ p106(X20)
| p107(X20)
| ( ? [X28] :
( p107(X28)
& ~ p108(X28)
& p8(X28)
& r1(X20,X28) )
& ? [X27] :
( p107(X27)
& ~ p108(X27)
& ~ p8(X27)
& r1(X20,X27) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X20] :
( ~ sP7(X20)
| ~ p107(X20)
| p108(X20)
| ( ? [X26] :
( p108(X26)
& ~ p109(X26)
& p9(X26)
& r1(X20,X26) )
& ? [X25] :
( p108(X25)
& ~ p109(X25)
& ~ p9(X25)
& r1(X20,X25) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f17,definition,
! [X20] :
( ~ sP8(X20)
| ~ p108(X20)
| p109(X20)
| ( ? [X24] :
( p109(X24)
& ~ p110(X24)
& p10(X24)
& r1(X20,X24) )
& ? [X23] :
( p109(X23)
& ~ p110(X23)
& ~ p10(X23)
& r1(X20,X23) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f18,definition,
! [X20] :
( ~ sP9(X20)
| ~ p109(X20)
| p110(X20)
| ( ? [X22] :
( p110(X22)
& p11(X22)
& r1(X20,X22) )
& ? [X21] :
( p110(X21)
& ~ p11(X21)
& r1(X20,X21) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f19,definition,
! [X20] :
( ~ sP10(X20)
| ~ p100(X20)
| ( ( ~ p1(X20)
| ! [X62] :
( ~ p100(X62)
| p1(X62)
| ~ r1(X20,X62) ) )
& ( p1(X20)
| ! [X61] :
( ~ p100(X61)
| ~ p1(X61)
| ~ r1(X20,X61) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f20,definition,
! [X20] :
( ~ sP11(X20)
| ~ p101(X20)
| ( ( ~ p2(X20)
| ! [X60] :
( ~ p101(X60)
| p2(X60)
| ~ r1(X20,X60) ) )
& ( p2(X20)
| ! [X59] :
( ~ p101(X59)
| ~ p2(X59)
| ~ r1(X20,X59) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f21,definition,
! [X20] :
( ~ sP12(X20)
| ~ p102(X20)
| ( ( ~ p3(X20)
| ! [X58] :
( ~ p102(X58)
| p3(X58)
| ~ r1(X20,X58) ) )
& ( p3(X20)
| ! [X57] :
( ~ p102(X57)
| ~ p3(X57)
| ~ r1(X20,X57) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f22,definition,
! [X20] :
( ~ sP13(X20)
| ~ p103(X20)
| ( ( ~ p4(X20)
| ! [X56] :
( ~ p103(X56)
| p4(X56)
| ~ r1(X20,X56) ) )
& ( p4(X20)
| ! [X55] :
( ~ p103(X55)
| ~ p4(X55)
| ~ r1(X20,X55) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f23,definition,
! [X20] :
( ~ sP14(X20)
| ~ p104(X20)
| ( ( ~ p5(X20)
| ! [X54] :
( ~ p104(X54)
| p5(X54)
| ~ r1(X20,X54) ) )
& ( p5(X20)
| ! [X53] :
( ~ p104(X53)
| ~ p5(X53)
| ~ r1(X20,X53) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f24,definition,
! [X20] :
( ~ sP15(X20)
| ~ p105(X20)
| ( ( ~ p6(X20)
| ! [X52] :
( ~ p105(X52)
| p6(X52)
| ~ r1(X20,X52) ) )
& ( p6(X20)
| ! [X51] :
( ~ p105(X51)
| ~ p6(X51)
| ~ r1(X20,X51) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f25,definition,
! [X20] :
( ~ sP16(X20)
| ~ p106(X20)
| ( ( ~ p7(X20)
| ! [X50] :
( ~ p106(X50)
| p7(X50)
| ~ r1(X20,X50) ) )
& ( p7(X20)
| ! [X49] :
( ~ p106(X49)
| ~ p7(X49)
| ~ r1(X20,X49) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f26,definition,
! [X20] :
( ~ sP17(X20)
| ~ p107(X20)
| ( ( ~ p8(X20)
| ! [X48] :
( ~ p107(X48)
| p8(X48)
| ~ r1(X20,X48) ) )
& ( p8(X20)
| ! [X47] :
( ~ p107(X47)
| ~ p8(X47)
| ~ r1(X20,X47) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f27,definition,
! [X20] :
( ~ sP18(X20)
| ~ p108(X20)
| ( ( ~ p9(X20)
| ! [X46] :
( ~ p108(X46)
| p9(X46)
| ~ r1(X20,X46) ) )
& ( p9(X20)
| ! [X45] :
( ~ p108(X45)
| ~ p9(X45)
| ~ r1(X20,X45) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f28,definition,
! [X20] :
( ~ sP19(X20)
| ~ p109(X20)
| ( ( ~ p10(X20)
| ! [X44] :
( ~ p109(X44)
| p10(X44)
| ~ r1(X20,X44) ) )
& ( p10(X20)
| ! [X43] :
( ~ p109(X43)
| ~ p10(X43)
| ~ r1(X20,X43) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f29,definition,
! [X20] :
( ~ sP20(X20)
| ~ p110(X20)
| ( ( ~ p11(X20)
| ! [X42] :
( ~ p110(X42)
| p11(X42)
| ~ r1(X20,X42) ) )
& ( p11(X20)
| ! [X41] :
( ~ p110(X41)
| ~ p11(X41)
| ~ r1(X20,X41) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f30,definition,
! [X20] :
( ~ sP21(X20)
| ( ( ~ p101(X20)
| p100(X20) )
& ( ~ p102(X20)
| p101(X20) )
& ( ~ p103(X20)
| p102(X20) )
& ( ~ p104(X20)
| p103(X20) )
& ( ~ p105(X20)
| p104(X20) )
& ( ~ p106(X20)
| p105(X20) )
& ( ~ p107(X20)
| p106(X20) )
& ( ~ p108(X20)
| p107(X20) )
& ( ~ p109(X20)
| p108(X20) )
& ( ~ p110(X20)
| p109(X20) )
& sP10(X20)
& sP11(X20)
& sP12(X20)
& sP13(X20)
& sP14(X20)
& sP15(X20)
& sP16(X20)
& sP17(X20)
& sP18(X20)
& sP19(X20)
& sP20(X20)
& sP0(X20)
& sP1(X20)
& sP2(X20)
& sP3(X20)
& sP4(X20)
& sP5(X20)
& sP6(X20)
& sP7(X20)
& sP8(X20)
& sP9(X20) ) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f31,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ! [X20] :
( sP21(X20)
| ~ r1(X19,X20) )
| ~ r1(X18,X19) )
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X12,X13) )
| ~ r1(X11,X12) )
| ~ r1(X0,X11) )
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( p5(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(definition_folding,[],[f8,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f83,plain,
! [X20] :
( ~ sP0(X20)
| ~ p100(X20)
| p101(X20)
| ( ? [X40] :
( p101(X40)
& ~ p102(X40)
& p2(X40)
& r1(X20,X40) )
& ? [X39] :
( p101(X39)
& ~ p102(X39)
& ~ p2(X39)
& r1(X20,X39) ) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f84,plain,
! [X0] :
( ~ sP0(X0)
| ~ p100(X0)
| p101(X0)
| ( ? [X2] :
( p101(X2)
& ~ p102(X2)
& p2(X2)
& r1(X0,X2) )
& ? [X1] :
( p101(X1)
& ~ p102(X1)
& ~ p2(X1)
& r1(X0,X1) ) ) ),
inference(rectify,[],[f83]) ).
fof(f85,plain,
! [X0] :
( ~ sP0(X0)
| ~ p100(X0)
| p101(X0)
| ( p101(sK41(X0))
& ~ p102(sK41(X0))
& p2(sK41(X0))
& r1(X0,sK41(X0))
& p101(sK40(X0))
& ~ p102(sK40(X0))
& ~ p2(sK40(X0))
& r1(X0,sK40(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41]),skolemize(X1,sK40(X0)),skolemize(X2,sK41(X0))],[f84]) ).
fof(f215,plain,
! [X0] :
( ~ sP0(X0)
| ~ p100(X0)
| p101(X0)
| p101(sK40(X0)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f216,plain,
! [X0] :
( ~ sP0(X0)
| ~ p100(X0)
| p101(X0)
| ~ p102(sK40(X0)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f218,plain,
! [X0] :
( ~ sP0(X0)
| ~ p100(X0)
| p101(X0)
| r1(X0,sK40(X0)) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_173,plain,
! [X0: $i] :
( p101(X0)
| r1(X0,sK40(X0))
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_175,plain,
! [X0: $i] :
( p101(X0)
| ~ p100(X0)
| ~ sP0(X0)
| ~ p102(sK40(X0)) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_176,plain,
! [X0: $i] :
( p101(X0)
| p101(sK40(X0))
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_218,plain,
( p101(sK42)
| p101(sK40(sK42))
| ~ p100(sK42)
| ~ sP0(sK42) ),
inference(instantiation,[status(thm)],[c_176]) ).
tcf(c_245,plain,
( p101(sK42)
| ~ p100(sK42)
| ~ sP0(sK42)
| ~ p102(sK40(sK42)) ),
inference(instantiation,[status(thm)],[c_175]) ).
tcf(c_247,plain,
( p101(sK42)
| r1(sK42,sK40(sK42))
| ~ p100(sK42)
| ~ sP0(sK42) ),
inference(instantiation,[status(thm)],[c_173]) ).
tcf(c_6469,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6468,c_4265,c_3862,c_3863,c_3520,c_3496,c_3369,c_3371,c_3372,c_3347,c_3330,c_3331,c_286,c_247,c_245,c_218,c_197,c_185,c_183,c_184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL656+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 % Computer : n008.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Thu Sep 24 00:02:39 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.46
% 0.14/0.46 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.46
% 0.14/0.46 % Detected problem language: tptp
% 0.21/0.48 % Proving...
% 8.54/1.93 % SZS status Started for theBenchmark.p
% 8.54/1.93 % SZS status Theorem for theBenchmark.p
% 8.54/1.93
% 8.54/1.93 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.54/1.93
% 8.54/1.93 % ------ iProver source info
% 8.54/1.93
% 8.54/1.93 % git: date: 2026-07-19 20:42:38 +0200
% 8.54/1.93 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.54/1.93 % git: non_committed_changes: false
% 8.54/1.93
% 8.54/1.93 % ------ Parsing...
% 8.54/1.93 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.54/1.93
% 8.54/1.93 % ------ Preprocessing... sf_s rm: 3 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e %
% 8.54/1.93
% 8.54/1.93 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.54/1.93 % ------ Proving...
% 8.54/1.93 % ------ Problem Properties
% 8.54/1.93
% 8.54/1.93 %
% 8.54/1.93 % clauses 111
% 8.54/1.93 % conjectures 3
% 8.54/1.93 % EPR 33
% 8.54/1.93 % Horn 66
% 8.54/1.93 % unary 10
% 8.54/1.93 % binary 0
% 8.54/1.93 % lits 459
% 8.54/1.93 % lits eq 0
% 8.54/1.93 % fd_pure 0
% 8.54/1.93 % fd_pseudo 0
% 8.54/1.93 % fd_cond 0
% 8.54/1.93 % fd_pseudo_cond 0
% 8.54/1.93 % AC symbols 0
% 8.54/1.93
% 8.54/1.93 % ------ Input Options Time Limit: Unbounded
% 8.54/1.93
% 8.54/1.93
% 8.54/1.93 % ------
% 8.54/1.93 % Current options:
% 8.54/1.93 % ------
% 8.54/1.93
% 8.54/1.93
% 8.54/1.93 %
% 8.54/1.93
% 8.54/1.93 % ------ Proving...
% 8.54/1.93 %
% 8.54/1.93
% 8.54/1.93 % SZS status Theorem for theBenchmark.p
% 8.54/1.93
% 8.54/1.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.54/1.93
% 8.54/1.93
%------------------------------------------------------------------------------