%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL664+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 : Thu Sep 24 01:08:26 PM UTC 2026
% Result : Theorem 3.88s 0.97s
% Output : CNFRefutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 62 ( 5 unt; 7 def)
% Number of atoms : 1912 ( 0 equ)
% Maximal formula atoms : 390 ( 30 avg)
% Number of connectives : 3549 (1699 ~;1437 |; 406 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 81 ( 14 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 39 ( 38 usr; 8 prp; 0-2 aty)
% Number of functors : 69 ( 69 usr; 5 con; 0-4 aty)
% Number of variables : 1116 (1045 !; 71 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,conjecture,
~ ? [X] :
~ ( ! [Y] :
( p11(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p12(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p13(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p15(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p11(Y)
& ! [X] :
( p23(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p11(Y)
& ! [X] :
( p25(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p12(Y)
& ! [X] :
( p21(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p13(Y)
& ! [X] :
( p23(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p13(Y)
& ! [X] :
( p25(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p15(Y)
& ! [X] :
( p23(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p15(Y)
& ! [X] :
( p25(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p21(X)
& ! [Y] :
( p31(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p21(X)
& ! [Y] :
( p33(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p21(X)
& ! [Y] :
( p34(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p21(X)
& ! [Y] :
( p35(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p14(Y)
& ! [X] :
( p22(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p16(Y)
& ! [X] :
( p22(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p23(X)
& ! [Y] :
( p31(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p23(X)
& ! [Y] :
( p33(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p23(X)
& ! [Y] :
( p35(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p14(Y)
& ! [X] :
( p24(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p16(Y)
& ! [X] :
( p24(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p25(X)
& ! [Y] :
( p31(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p25(X)
& ! [Y] :
( p33(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p25(X)
& ! [Y] :
( p35(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p14(Y)
& ! [X] :
( p26(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p16(Y)
& ! [X] :
( p26(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p31(Y)
& ! [X] :
( p43(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p31(Y)
& ! [X] :
( p45(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p22(X)
& ! [Y] :
( p32(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p24(X)
& ! [Y] :
( p32(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p26(X)
& ! [Y] :
( p32(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p33(Y)
& ! [X] :
( p43(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p33(Y)
& ! [X] :
( p45(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p34(Y)
& ! [X] :
( p41(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p22(X)
& ! [Y] :
( p34(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p24(X)
& ! [Y] :
( p34(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p26(X)
& ! [Y] :
( p34(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p35(Y)
& ! [X] :
( p43(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p35(Y)
& ! [X] :
( p45(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p22(X)
& ! [Y] :
( p36(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p24(X)
& ! [Y] :
( p36(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p26(X)
& ! [Y] :
( p36(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p41(X)
& ! [Y] :
( p51(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p41(X)
& ! [Y] :
( p53(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p41(X)
& ! [Y] :
( p54(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p41(X)
& ! [Y] :
( p55(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p32(Y)
& ! [X] :
( p42(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p36(Y)
& ! [X] :
( p42(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p43(X)
& ! [Y] :
( p51(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p43(X)
& ! [Y] :
( p53(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p43(X)
& ! [Y] :
( p55(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p32(Y)
& ! [X] :
( p44(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p36(Y)
& ! [X] :
( p44(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p45(X)
& ! [Y] :
( p51(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p45(X)
& ! [Y] :
( p53(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p45(X)
& ! [Y] :
( p55(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p32(Y)
& ! [X] :
( p46(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p36(Y)
& ! [X] :
( p46(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p42(X)
& ! [Y] :
( p52(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p44(X)
& ! [Y] :
( p52(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p46(X)
& ! [Y] :
( p52(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p42(X)
& ! [Y] :
( p54(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p44(X)
& ! [Y] :
( p54(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p46(X)
& ! [Y] :
( p54(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p42(X)
& ! [Y] :
( p56(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p44(X)
& ! [Y] :
( p56(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p46(X)
& ! [Y] :
( p56(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( p52(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( p54(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( p54(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( p56(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ ~ ? [X] :
~ ( ! [Y] :
( p11(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p12(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p13(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p15(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p11(Y)
& ! [X] :
( p23(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p11(Y)
& ! [X] :
( p25(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p12(Y)
& ! [X] :
( p21(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p13(Y)
& ! [X] :
( p23(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p13(Y)
& ! [X] :
( p25(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p15(Y)
& ! [X] :
( p23(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p15(Y)
& ! [X] :
( p25(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p21(X)
& ! [Y] :
( p31(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p21(X)
& ! [Y] :
( p33(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p21(X)
& ! [Y] :
( p34(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p21(X)
& ! [Y] :
( p35(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p14(Y)
& ! [X] :
( p22(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p16(Y)
& ! [X] :
( p22(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p23(X)
& ! [Y] :
( p31(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p23(X)
& ! [Y] :
( p33(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p23(X)
& ! [Y] :
( p35(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p14(Y)
& ! [X] :
( p24(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p16(Y)
& ! [X] :
( p24(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p25(X)
& ! [Y] :
( p31(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p25(X)
& ! [Y] :
( p33(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p25(X)
& ! [Y] :
( p35(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p14(Y)
& ! [X] :
( p26(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ p16(Y)
& ! [X] :
( p26(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p31(Y)
& ! [X] :
( p43(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p31(Y)
& ! [X] :
( p45(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p22(X)
& ! [Y] :
( p32(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p24(X)
& ! [Y] :
( p32(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p26(X)
& ! [Y] :
( p32(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p33(Y)
& ! [X] :
( p43(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p33(Y)
& ! [X] :
( p45(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p34(Y)
& ! [X] :
( p41(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p22(X)
& ! [Y] :
( p34(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p24(X)
& ! [Y] :
( p34(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p26(X)
& ! [Y] :
( p34(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p35(Y)
& ! [X] :
( p43(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p35(Y)
& ! [X] :
( p45(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p22(X)
& ! [Y] :
( p36(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p24(X)
& ! [Y] :
( p36(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ~ p26(X)
& ! [Y] :
( p36(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p41(X)
& ! [Y] :
( p51(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p41(X)
& ! [Y] :
( p53(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p41(X)
& ! [Y] :
( p54(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p41(X)
& ! [Y] :
( p55(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p32(Y)
& ! [X] :
( p42(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p36(Y)
& ! [X] :
( p42(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p43(X)
& ! [Y] :
( p51(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p43(X)
& ! [Y] :
( p53(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p43(X)
& ! [Y] :
( p55(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p32(Y)
& ! [X] :
( p44(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p36(Y)
& ! [X] :
( p44(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p45(X)
& ! [Y] :
( p51(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p45(X)
& ! [Y] :
( p53(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p45(X)
& ! [Y] :
( p55(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p32(Y)
& ! [X] :
( p46(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ~ ( ~ p36(Y)
& ! [X] :
( p46(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p42(X)
& ! [Y] :
( p52(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p44(X)
& ! [Y] :
( p52(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p46(X)
& ! [Y] :
( p52(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p42(X)
& ! [Y] :
( p54(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p44(X)
& ! [Y] :
( p54(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p46(X)
& ! [Y] :
( p54(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p42(X)
& ! [Y] :
( p56(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p44(X)
& ! [Y] :
( p56(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ~ p46(X)
& ! [Y] :
( p56(Y)
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( p52(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( p54(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( p54(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( p56(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f5,plain,
? [X] :
( ? [Y] :
( ~ p11(Y)
& r1(X,Y) )
& ? [Y] :
( ~ p12(Y)
& r1(X,Y) )
& ? [Y] :
( ~ p13(Y)
& r1(X,Y) )
& ? [Y] :
( ~ p15(Y)
& r1(X,Y) )
& ! [Y] :
( p11(Y)
| ? [X] :
( ~ p23(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p11(Y)
| ? [X] :
( ~ p25(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p12(Y)
| ? [X] :
( ~ p21(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p13(Y)
| ? [X] :
( ~ p23(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p13(Y)
| ? [X] :
( ~ p25(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p15(Y)
| ? [X] :
( ~ p23(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p15(Y)
| ? [X] :
( ~ p25(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p21(X)
| ? [Y] :
( ~ p31(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p21(X)
| ? [Y] :
( ~ p33(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p21(X)
| ? [Y] :
( ~ p34(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p21(X)
| ? [Y] :
( ~ p35(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p14(Y)
| ? [X] :
( ~ p22(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p16(Y)
| ? [X] :
( ~ p22(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p23(X)
| ? [Y] :
( ~ p31(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p23(X)
| ? [Y] :
( ~ p33(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p23(X)
| ? [Y] :
( ~ p35(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p14(Y)
| ? [X] :
( ~ p24(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p16(Y)
| ? [X] :
( ~ p24(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p25(X)
| ? [Y] :
( ~ p31(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p25(X)
| ? [Y] :
( ~ p33(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p25(X)
| ? [Y] :
( ~ p35(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p14(Y)
| ? [X] :
( ~ p26(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( p16(Y)
| ? [X] :
( ~ p26(X)
& r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p31(Y)
| ? [X] :
( ~ p43(X)
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p31(Y)
| ? [X] :
( ~ p45(X)
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p22(X)
| ? [Y] :
( ~ p32(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p24(X)
| ? [Y] :
( ~ p32(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p26(X)
| ? [Y] :
( ~ p32(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p33(Y)
| ? [X] :
( ~ p43(X)
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p33(Y)
| ? [X] :
( ~ p45(X)
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p34(Y)
| ? [X] :
( ~ p41(X)
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p22(X)
| ? [Y] :
( ~ p34(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p24(X)
| ? [Y] :
( ~ p34(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p26(X)
| ? [Y] :
( ~ p34(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p35(Y)
| ? [X] :
( ~ p43(X)
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p35(Y)
| ? [X] :
( ~ p45(X)
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p22(X)
| ? [Y] :
( ~ p36(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p24(X)
| ? [Y] :
( ~ p36(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( p26(X)
| ? [Y] :
( ~ p36(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p41(X)
| ? [Y] :
( ~ p51(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p41(X)
| ? [Y] :
( ~ p53(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p41(X)
| ? [Y] :
( ~ p54(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p41(X)
| ? [Y] :
( ~ p55(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p32(Y)
| ? [X] :
( ~ p42(X)
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p36(Y)
| ? [X] :
( ~ p42(X)
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p43(X)
| ? [Y] :
( ~ p51(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p43(X)
| ? [Y] :
( ~ p53(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p43(X)
| ? [Y] :
( ~ p55(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p32(Y)
| ? [X] :
( ~ p44(X)
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p36(Y)
| ? [X] :
( ~ p44(X)
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p45(X)
| ? [Y] :
( ~ p51(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p45(X)
| ? [Y] :
( ~ p53(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p45(X)
| ? [Y] :
( ~ p55(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p32(Y)
| ? [X] :
( ~ p46(X)
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p36(Y)
| ? [X] :
( ~ p46(X)
& r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p42(X)
| ? [Y] :
( ~ p52(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p44(X)
| ? [Y] :
( ~ p52(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p46(X)
| ? [Y] :
( ~ p52(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p42(X)
| ? [Y] :
( ~ p54(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p44(X)
| ? [Y] :
( ~ p54(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p46(X)
| ? [Y] :
( ~ p54(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p42(X)
| ? [Y] :
( ~ p56(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p44(X)
| ? [Y] :
( ~ p56(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p46(X)
| ? [Y] :
( ~ p56(Y)
& r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( p52(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( p54(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( p54(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( p56(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f6,plain,
( ~ p11(sK68_skl)
& r1(sK0_skl,sK68_skl)
& ~ p12(sK67_skl)
& r1(sK0_skl,sK67_skl)
& ~ p13(sK66_skl)
& r1(sK0_skl,sK66_skl)
& ~ p15(sK65_skl)
& r1(sK0_skl,sK65_skl)
& ! [Y] :
( p11(Y)
| ( ~ p23(sK64_skl(Y))
& r1(Y,sK64_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p11(Y)
| ( ~ p25(sK63_skl(Y))
& r1(Y,sK63_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p12(Y)
| ( ~ p21(sK62_skl(Y))
& r1(Y,sK62_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p13(Y)
| ( ~ p23(sK61_skl(Y))
& r1(Y,sK61_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p13(Y)
| ( ~ p25(sK60_skl(Y))
& r1(Y,sK60_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p15(Y)
| ( ~ p23(sK59_skl(Y))
& r1(Y,sK59_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p15(Y)
| ( ~ p25(sK58_skl(Y))
& r1(Y,sK58_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p21(X)
| ( ~ p31(sK57_skl(X,Y))
& r1(X,sK57_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p21(X)
| ( ~ p33(sK56_skl(X,Y))
& r1(X,sK56_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p21(X)
| ( ~ p34(sK55_skl(X,Y))
& r1(X,sK55_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p21(X)
| ( ~ p35(sK54_skl(X,Y))
& r1(X,sK54_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p14(Y)
| ( ~ p22(sK53_skl(Y))
& r1(Y,sK53_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p16(Y)
| ( ~ p22(sK52_skl(Y))
& r1(Y,sK52_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p23(X)
| ( ~ p31(sK51_skl(X,Y))
& r1(X,sK51_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p23(X)
| ( ~ p33(sK50_skl(X,Y))
& r1(X,sK50_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p23(X)
| ( ~ p35(sK49_skl(X,Y))
& r1(X,sK49_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p14(Y)
| ( ~ p24(sK48_skl(Y))
& r1(Y,sK48_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p16(Y)
| ( ~ p24(sK47_skl(Y))
& r1(Y,sK47_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p25(X)
| ( ~ p31(sK46_skl(X,Y))
& r1(X,sK46_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p25(X)
| ( ~ p33(sK45_skl(X,Y))
& r1(X,sK45_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p25(X)
| ( ~ p35(sK44_skl(X,Y))
& r1(X,sK44_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p14(Y)
| ( ~ p26(sK43_skl(Y))
& r1(Y,sK43_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p16(Y)
| ( ~ p26(sK42_skl(Y))
& r1(Y,sK42_skl(Y)) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p31(Y)
| ( ~ p43(sK41_skl(Y,X,Y))
& r1(Y,sK41_skl(Y,X,Y)) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p31(Y)
| ( ~ p45(sK40_skl(Y,X,Y))
& r1(Y,sK40_skl(Y,X,Y)) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p22(X)
| ( ~ p32(sK39_skl(X,Y))
& r1(X,sK39_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p24(X)
| ( ~ p32(sK38_skl(X,Y))
& r1(X,sK38_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p26(X)
| ( ~ p32(sK37_skl(X,Y))
& r1(X,sK37_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p33(Y)
| ( ~ p43(sK36_skl(Y,X,Y))
& r1(Y,sK36_skl(Y,X,Y)) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p33(Y)
| ( ~ p45(sK35_skl(Y,X,Y))
& r1(Y,sK35_skl(Y,X,Y)) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p34(Y)
| ( ~ p41(sK34_skl(Y,X,Y))
& r1(Y,sK34_skl(Y,X,Y)) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p22(X)
| ( ~ p34(sK33_skl(X,Y))
& r1(X,sK33_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p24(X)
| ( ~ p34(sK32_skl(X,Y))
& r1(X,sK32_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p26(X)
| ( ~ p34(sK31_skl(X,Y))
& r1(X,sK31_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p35(Y)
| ( ~ p43(sK30_skl(Y,X,Y))
& r1(Y,sK30_skl(Y,X,Y)) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p35(Y)
| ( ~ p45(sK29_skl(Y,X,Y))
& r1(Y,sK29_skl(Y,X,Y)) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p22(X)
| ( ~ p36(sK28_skl(X,Y))
& r1(X,sK28_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p24(X)
| ( ~ p36(sK27_skl(X,Y))
& r1(X,sK27_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( p26(X)
| ( ~ p36(sK26_skl(X,Y))
& r1(X,sK26_skl(X,Y)) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p41(X)
| ( ~ p51(sK25_skl(X,Y,X,Y))
& r1(X,sK25_skl(X,Y,X,Y)) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p41(X)
| ( ~ p53(sK24_skl(X,Y,X,Y))
& r1(X,sK24_skl(X,Y,X,Y)) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p41(X)
| ( ~ p54(sK23_skl(X,Y,X,Y))
& r1(X,sK23_skl(X,Y,X,Y)) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p41(X)
| ( ~ p55(sK22_skl(X,Y,X,Y))
& r1(X,sK22_skl(X,Y,X,Y)) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p32(Y)
| ( ~ p42(sK21_skl(Y,X,Y))
& r1(Y,sK21_skl(Y,X,Y)) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p36(Y)
| ( ~ p42(sK20_skl(Y,X,Y))
& r1(Y,sK20_skl(Y,X,Y)) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p43(X)
| ( ~ p51(sK19_skl(X,Y,X,Y))
& r1(X,sK19_skl(X,Y,X,Y)) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p43(X)
| ( ~ p53(sK18_skl(X,Y,X,Y))
& r1(X,sK18_skl(X,Y,X,Y)) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p43(X)
| ( ~ p55(sK17_skl(X,Y,X,Y))
& r1(X,sK17_skl(X,Y,X,Y)) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p32(Y)
| ( ~ p44(sK16_skl(Y,X,Y))
& r1(Y,sK16_skl(Y,X,Y)) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p36(Y)
| ( ~ p44(sK15_skl(Y,X,Y))
& r1(Y,sK15_skl(Y,X,Y)) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p45(X)
| ( ~ p51(sK14_skl(X,Y,X,Y))
& r1(X,sK14_skl(X,Y,X,Y)) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p45(X)
| ( ~ p53(sK13_skl(X,Y,X,Y))
& r1(X,sK13_skl(X,Y,X,Y)) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p45(X)
| ( ~ p55(sK12_skl(X,Y,X,Y))
& r1(X,sK12_skl(X,Y,X,Y)) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p32(Y)
| ( ~ p46(sK11_skl(Y,X,Y))
& r1(Y,sK11_skl(Y,X,Y)) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( p36(Y)
| ( ~ p46(sK10_skl(Y,X,Y))
& r1(Y,sK10_skl(Y,X,Y)) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p42(X)
| ( ~ p52(sK9_skl(X,Y,X,Y))
& r1(X,sK9_skl(X,Y,X,Y)) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p44(X)
| ( ~ p52(sK8_skl(X,Y,X,Y))
& r1(X,sK8_skl(X,Y,X,Y)) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p46(X)
| ( ~ p52(sK7_skl(X,Y,X,Y))
& r1(X,sK7_skl(X,Y,X,Y)) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p42(X)
| ( ~ p54(sK6_skl(X,Y,X,Y))
& r1(X,sK6_skl(X,Y,X,Y)) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p44(X)
| ( ~ p54(sK5_skl(X,Y,X,Y))
& r1(X,sK5_skl(X,Y,X,Y)) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p46(X)
| ( ~ p54(sK4_skl(X,Y,X,Y))
& r1(X,sK4_skl(X,Y,X,Y)) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p42(X)
| ( ~ p56(sK3_skl(X,Y,X,Y))
& r1(X,sK3_skl(X,Y,X,Y)) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p44(X)
| ( ~ p56(sK2_skl(X,Y,X,Y))
& r1(X,sK2_skl(X,Y,X,Y)) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( p46(X)
| ( ~ p56(sK1_skl(X,Y,X,Y))
& r1(X,sK1_skl(X,Y,X,Y)) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( p52(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( p54(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( p54(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ! [Y] :
( p56(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(sK0_skl,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl,sK11_skl,sK12_skl,sK13_skl,sK14_skl,sK15_skl,sK16_skl,sK17_skl,sK18_skl,sK19_skl,sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl,sK28_skl,sK29_skl,sK30_skl,sK31_skl,sK32_skl,sK33_skl,sK34_skl,sK35_skl,sK36_skl,sK37_skl,sK38_skl,sK39_skl,sK40_skl,sK41_skl,sK42_skl,sK43_skl,sK44_skl,sK45_skl,sK46_skl,sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl,sK52_skl,sK53_skl,sK54_skl,sK55_skl,sK56_skl,sK57_skl,sK58_skl,sK59_skl,sK60_skl,sK61_skl,sK62_skl,sK63_skl,sK64_skl,sK65_skl,sK66_skl,sK67_skl,sK68_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl(X,Y,X,Y)),skolemize(Y,sK2_skl(X,Y,X,Y)),skolemize(Y,sK3_skl(X,Y,X,Y)),skolemize(Y,sK4_skl(X,Y,X,Y)),skolemize(Y,sK5_skl(X,Y,X,Y)),skolemize(Y,sK6_skl(X,Y,X,Y)),skolemize(Y,sK7_skl(X,Y,X,Y)),skolemize(Y,sK8_skl(X,Y,X,Y)),skolemize(Y,sK9_skl(X,Y,X,Y)),skolemize(X,sK10_skl(Y,X,Y)),skolemize(X,sK11_skl(Y,X,Y)),skolemize(Y,sK12_skl(X,Y,X,Y)),skolemize(Y,sK13_skl(X,Y,X,Y)),skolemize(Y,sK14_skl(X,Y,X,Y)),skolemize(X,sK15_skl(Y,X,Y)),skolemize(X,sK16_skl(Y,X,Y)),skolemize(Y,sK17_skl(X,Y,X,Y)),skolemize(Y,sK18_skl(X,Y,X,Y)),skolemize(Y,sK19_skl(X,Y,X,Y)),skolemize(X,sK20_skl(Y,X,Y)),skolemize(X,sK21_skl(Y,X,Y)),skolemize(Y,sK22_skl(X,Y,X,Y)),skolemize(Y,sK23_skl(X,Y,X,Y)),skolemize(Y,sK24_skl(X,Y,X,Y)),skolemize(Y,sK25_skl(X,Y,X,Y)),skolemize(Y,sK26_skl(X,Y)),skolemize(Y,sK27_skl(X,Y)),skolemize(Y,sK28_skl(X,Y)),skolemize(X,sK29_skl(Y,X,Y)),skolemize(X,sK30_skl(Y,X,Y)),skolemize(Y,sK31_skl(X,Y)),skolemize(Y,sK32_skl(X,Y)),skolemize(Y,sK33_skl(X,Y)),skolemize(X,sK34_skl(Y,X,Y)),skolemize(X,sK35_skl(Y,X,Y)),skolemize(X,sK36_skl(Y,X,Y)),skolemize(Y,sK37_skl(X,Y)),skolemize(Y,sK38_skl(X,Y)),skolemize(Y,sK39_skl(X,Y)),skolemize(X,sK40_skl(Y,X,Y)),skolemize(X,sK41_skl(Y,X,Y)),skolemize(X,sK42_skl(Y)),skolemize(X,sK43_skl(Y)),skolemize(Y,sK44_skl(X,Y)),skolemize(Y,sK45_skl(X,Y)),skolemize(Y,sK46_skl(X,Y)),skolemize(X,sK47_skl(Y)),skolemize(X,sK48_skl(Y)),skolemize(Y,sK49_skl(X,Y)),skolemize(Y,sK50_skl(X,Y)),skolemize(Y,sK51_skl(X,Y)),skolemize(X,sK52_skl(Y)),skolemize(X,sK53_skl(Y)),skolemize(Y,sK54_skl(X,Y)),skolemize(Y,sK55_skl(X,Y)),skolemize(Y,sK56_skl(X,Y)),skolemize(Y,sK57_skl(X,Y)),skolemize(X,sK58_skl(Y)),skolemize(X,sK59_skl(Y)),skolemize(X,sK60_skl(Y)),skolemize(X,sK61_skl(Y)),skolemize(X,sK62_skl(Y)),skolemize(X,sK63_skl(Y)),skolemize(X,sK64_skl(Y)),skolemize(Y,sK65_skl),skolemize(Y,sK66_skl),skolemize(Y,sK67_skl),skolemize(Y,sK68_skl)],[f5]) ).
fof(f8,plain,
! [X0,X1,X2,X3,X4] :
( p54(X4)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f55,plain,
! [X0,X1,X2,X3] :
( p41(X3)
| r1(X3,sK23_skl(X3,X2,X1,X0))
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( p41(X3)
| ~ p54(sK23_skl(X3,X2,X1,X0))
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f77,plain,
! [X0,X1,X2] :
( p34(X2)
| r1(X2,sK34_skl(X2,X1,X0))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f78,plain,
! [X0,X1,X2] :
( p34(X2)
| ~ p41(sK34_skl(X2,X1,X0))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f119,plain,
! [X0,X1] :
( p21(X1)
| r1(X1,sK55_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f120,plain,
! [X0,X1] :
( p21(X1)
| ~ p34(sK55_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f133,plain,
! [X0] :
( p12(X0)
| r1(X0,sK62_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f134,plain,
! [X0] :
( p12(X0)
| ~ p21(sK62_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f143,plain,
r1(sK0_skl,sK67_skl),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f144,plain,
~ p12(sK67_skl),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f295,plain,
! [X0,X1] :
( p12(X1)
| ~ r1(sK0_skl,X1)
| r1(sK62_skl(X1),sK55_skl(sK62_skl(X1),X0))
| ~ r1(X0,sK62_skl(X1))
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f119,f134]) ).
fof(f440,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ r1(X7,sK23_skl(X3,X2,X1,X0))
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(sK0_skl,X4)
| p41(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f56,f8]) ).
fof(f452,plain,
! [X0,X1,X2,X3,X4,X5] :
( p34(X3)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(sK0_skl,X5)
| r1(sK34_skl(X3,X4,X5),sK23_skl(sK34_skl(X3,X4,X5),X2,X1,X0))
| ~ r1(X2,sK34_skl(X3,X4,X5))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f55,f78]) ).
fof(f472,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( p34(X3)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(sK0_skl,X5)
| ~ r1(X9,sK23_skl(sK34_skl(X3,X4,X5),X2,X1,X0))
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(sK0_skl,X6)
| ~ r1(X2,sK34_skl(X3,X4,X5))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f440,f78]) ).
fof(f489,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( p34(X2)
| ~ r1(X7,X2)
| ~ r1(X8,X7)
| ~ r1(sK0_skl,X8)
| p34(X2)
| ~ r1(X7,X2)
| ~ r1(X8,X7)
| ~ r1(sK0_skl,X8)
| ~ r1(X6,sK23_skl(sK34_skl(X2,X7,X8),X2,X1,X0))
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(sK0_skl,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f472,f77]) ).
fof(f491,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( p34(X2)
| ~ r1(X7,X2)
| ~ r1(X8,X7)
| ~ r1(sK0_skl,X8)
| ~ r1(X6,sK23_skl(sK34_skl(X2,X7,X8),X2,X1,X0))
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(sK0_skl,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f489]) ).
fof(f492,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( p34(X2)
| ~ r1(X6,X2)
| ~ r1(X7,X6)
| ~ r1(sK0_skl,X7)
| ~ r1(X2,sK34_skl(X2,X6,X7))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0)
| p34(X2)
| ~ r1(X6,X2)
| ~ r1(X7,X6)
| ~ r1(sK0_skl,X7)
| ~ r1(X5,sK34_skl(X2,X6,X7))
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(sK0_skl,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f491,f452]) ).
fof(f494,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ r1(X2,sK34_skl(X2,X6,X7))
| p34(X2)
| ~ r1(X6,X2)
| ~ r1(X7,X6)
| ~ r1(sK0_skl,X7)
| ~ r1(X5,sK34_skl(X2,X6,X7))
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(sK0_skl,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f492]) ).
fof(f495,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( p34(X2)
| ~ r1(X6,X2)
| ~ r1(X7,X6)
| ~ r1(sK0_skl,X7)
| ~ r1(X5,sK34_skl(X2,X6,X7))
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(sK0_skl,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f494,f77]) ).
fof(f496,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( p34(X2)
| ~ r1(X6,X2)
| ~ r1(X5,X6)
| ~ r1(sK0_skl,X5)
| p34(X2)
| ~ r1(X6,X2)
| ~ r1(X5,X6)
| ~ r1(sK0_skl,X5)
| ~ r1(X4,X2)
| ~ r1(X3,X4)
| ~ r1(sK0_skl,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f495,f77]) ).
fof(f498,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( p34(X2)
| ~ r1(X6,X2)
| ~ r1(X5,X6)
| ~ r1(sK0_skl,X5)
| ~ r1(X4,X2)
| ~ r1(X3,X4)
| ~ r1(sK0_skl,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f496]) ).
fof(f499,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( p21(X2)
| ~ r1(X3,X2)
| ~ r1(sK0_skl,X3)
| ~ r1(X7,sK55_skl(X2,X3))
| ~ r1(X6,X7)
| ~ r1(sK0_skl,X6)
| ~ r1(X5,sK55_skl(X2,X3))
| ~ r1(X4,X5)
| ~ r1(sK0_skl,X4)
| ~ r1(X1,sK55_skl(X2,X3))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f498,f120]) ).
fof(f611,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( p12(X2)
| ~ r1(sK0_skl,X2)
| ~ r1(X3,sK62_skl(X2))
| ~ r1(sK0_skl,X3)
| ~ r1(X7,sK55_skl(sK62_skl(X2),X3))
| ~ r1(X6,X7)
| ~ r1(sK0_skl,X6)
| ~ r1(X5,sK55_skl(sK62_skl(X2),X3))
| ~ r1(X4,X5)
| ~ r1(sK0_skl,X4)
| ~ r1(X1,sK55_skl(sK62_skl(X2),X3))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f499,f134]) ).
fof(f651,definition,
( sQ68_spl
<=> r1(sK0_skl,sK67_skl) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f653,plain,
( sQ68_spl
| ~ r1(sK0_skl,sK67_skl) ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f663,definition,
( sQ71_spl
<=> p12(sK67_skl) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( ~ sQ71_spl
| p12(sK67_skl) ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f677,plain,
( sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f653,f143]) ).
fof(f678,plain,
sQ68_spl,
inference(contradiction_clause,[status(thm)],[f677]) ).
fof(f680,plain,
( ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f664,f144]) ).
fof(f681,plain,
~ sQ71_spl,
inference(contradiction_clause,[status(thm)],[f680]) ).
fof(f687,definition,
( sQ75_spl
<=> r1(sK67_skl,sK62_skl(sK67_skl)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f688,plain,
( ~ sQ75_spl
| r1(sK67_skl,sK62_skl(sK67_skl)) ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f689,plain,
( sQ75_spl
| ~ r1(sK67_skl,sK62_skl(sK67_skl)) ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f693,definition,
! [X0] :
( sQ76_spl
<=> ( ~ r1(X0,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f694,plain,
! [X0] :
( ~ sQ76_spl
| ~ r1(X0,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f697,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ r1(sK0_skl,sK67_skl)
| ~ r1(X2,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X2)
| ~ r1(X6,sK55_skl(sK62_skl(sK67_skl),X2))
| ~ r1(X5,X6)
| ~ r1(sK0_skl,X5)
| ~ r1(X4,sK55_skl(sK62_skl(sK67_skl),X2))
| ~ r1(X3,X4)
| ~ r1(sK0_skl,X3)
| ~ r1(X1,sK55_skl(sK62_skl(sK67_skl),X2))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f611,f144]) ).
fof(f698,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ77_spl
<=> ( ~ r1(X2,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X2)
| ~ r1(X6,sK55_skl(sK62_skl(sK67_skl),X2))
| ~ r1(X5,X6)
| ~ r1(sK0_skl,X5)
| ~ r1(X4,sK55_skl(sK62_skl(sK67_skl),X2))
| ~ r1(X3,X4)
| ~ r1(sK0_skl,X3)
| ~ r1(X1,sK55_skl(sK62_skl(sK67_skl),X2))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f699,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ77_spl
| ~ r1(X2,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X2)
| ~ r1(X6,sK55_skl(sK62_skl(sK67_skl),X2))
| ~ r1(X5,X6)
| ~ r1(sK0_skl,X5)
| ~ r1(X4,sK55_skl(sK62_skl(sK67_skl),X2))
| ~ r1(X3,X4)
| ~ r1(sK0_skl,X3)
| ~ r1(X1,sK55_skl(sK62_skl(sK67_skl),X2))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f701,plain,
( ~ sQ68_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f697,f698,f651]) ).
fof(f702,plain,
( sQ75_spl
| p12(sK67_skl)
| ~ r1(sK0_skl,sK67_skl) ),
inference(resolution,[status(thm)],[f689,f133]) ).
fof(f703,plain,
( sQ75_spl
| sQ71_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f702,f651,f663,f687]) ).
fof(f704,plain,
( ~ sQ75_spl
| ~ sQ76_spl
| ~ r1(sK0_skl,sK67_skl) ),
inference(resolution,[status(thm)],[f694,f688]) ).
fof(f707,plain,
( ~ sQ75_spl
| ~ sQ76_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f704,f651,f693,f687]) ).
fof(f735,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ77_spl
| p12(sK67_skl)
| ~ r1(sK0_skl,sK67_skl)
| ~ r1(X2,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X2)
| ~ r1(X2,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X2)
| ~ r1(X4,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X4)
| ~ r1(X3,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X3)
| ~ r1(X1,sK55_skl(sK62_skl(sK67_skl),X2))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f699,f295]) ).
fof(f742,definition,
! [X0,X1,X2] :
( sQ81_spl
<=> ( ~ r1(X2,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X2)
| ~ r1(X2,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X2)
| ~ r1(X1,sK55_skl(sK62_skl(sK67_skl),X2))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f743,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ r1(X2,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X2)
| ~ r1(X2,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X2)
| ~ r1(X1,sK55_skl(sK62_skl(sK67_skl),X2))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,plain,
( ~ sQ77_spl
| sQ71_spl
| ~ sQ68_spl
| sQ76_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f735,f742,f693,f651,f663,f698]) ).
fof(f751,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| ~ r1(X2,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X2)
| ~ r1(X1,sK55_skl(sK62_skl(sK67_skl),X2))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f743]) ).
fof(f753,plain,
! [X0,X1] :
( ~ sQ81_spl
| p12(sK67_skl)
| ~ r1(sK0_skl,sK67_skl)
| ~ r1(X1,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X1)
| ~ r1(X1,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X1)
| ~ r1(X0,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f751,f295]) ).
fof(f755,definition,
! [X1] :
( sQ83_spl
<=> ( ~ r1(X1,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X1)
| ~ r1(X1,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f756,plain,
! [X0] :
( ~ sQ83_spl
| ~ r1(X0,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X0)
| ~ r1(X0,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,plain,
( ~ sQ81_spl
| sQ71_spl
| ~ sQ68_spl
| sQ83_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f753,f693,f755,f651,f663,f742]) ).
fof(f759,plain,
! [X0] :
( ~ sQ83_spl
| ~ r1(X0,sK62_skl(sK67_skl))
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f756]) ).
fof(f761,plain,
( ~ sQ83_spl
| p12(sK67_skl)
| ~ r1(sK0_skl,sK67_skl)
| ~ r1(sK0_skl,sK67_skl) ),
inference(resolution,[status(thm)],[f759,f133]) ).
fof(f764,plain,
( ~ sQ83_spl
| sQ71_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f761,f651,f663,f755]) ).
fof(f765,plain,
$false,
inference(sat_refutation,[status(thm)],[f678,f681,f701,f703,f707,f745,f758,f764]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL664+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 00:55:59 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 3.88/0.97 % Refutation found
% 3.88/0.97 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.88/0.97 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.88/0.98 % Elapsed time: 0.615270 seconds
% 3.88/0.98 % CPU time: 4.567691 seconds
% 3.88/0.98 % Total memory used: 79.887 MB
% 3.88/0.98 % Net memory used: 73.491 MB
%------------------------------------------------------------------------------