%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL682+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 : n019.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 01:08:34 PM UTC 2026
% Result : Theorem 4.16s 1.22s
% Output : CNFRefutation 4.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 96 ( 9 unt; 13 def)
% Number of atoms : 2002 ( 0 equ)
% Maximal formula atoms : 379 ( 20 avg)
% Number of connectives : 3652 (1746 ~;1477 |; 415 &)
% ( 13 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 78 ( 11 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 45 ( 44 usr; 14 prp; 0-2 aty)
% Number of functors : 73 ( 73 usr; 9 con; 0-4 aty)
% Number of variables : 1107 (1032 !; 75 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : r1(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] :
( ( r1(Y,Z)
& r1(X,Y) )
=> r1(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ! [X] :
( p11(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p12(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p13(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p15(X)
| ~ r1(Y,X) )
| ~ 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] :
( p52(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( p54(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( p54(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( p56(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ ~ ? [X] :
~ ( ! [Y] :
( ! [X] :
( p11(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p12(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p13(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p15(X)
| ~ r1(Y,X) )
| ~ 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] :
( p52(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( p54(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( p54(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( p56(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f6,plain,
! [X,Y,Z] :
( r1(X,Z)
| ~ r1(Y,Z)
| ~ r1(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f7,plain,
! [X,Z] :
( r1(X,Z)
| ! [Y] :
( ~ r1(Y,Z)
| ~ r1(X,Y) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f8,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
? [X] :
( ? [Y] :
( ? [X] :
( ~ p11(X)
& r1(Y,X) )
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( ~ p12(X)
& r1(Y,X) )
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( ~ p13(X)
& r1(Y,X) )
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( ~ p15(X)
& r1(Y,X) )
& 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] :
( p52(X)
| ~ r1(Y,X) )
& ! [X] :
( p54(X)
| ~ r1(Y,X) )
& ! [X] :
( p54(X)
| ~ r1(Y,X) )
& ! [X] :
( p56(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
( ~ p11(sK72_skl)
& r1(sK71_skl,sK72_skl)
& r1(sK0_skl,sK71_skl)
& ~ p12(sK70_skl)
& r1(sK69_skl,sK70_skl)
& r1(sK0_skl,sK69_skl)
& ~ p13(sK68_skl)
& r1(sK67_skl,sK68_skl)
& r1(sK0_skl,sK67_skl)
& ~ p15(sK66_skl)
& r1(sK65_skl,sK66_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] :
( p52(X)
| ~ r1(Y,X) )
& ! [X] :
( p54(X)
| ~ r1(Y,X) )
& ! [X] :
( p54(X)
| ~ r1(Y,X) )
& ! [X] :
( p56(X)
| ~ 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,sK69_skl,sK70_skl,sK71_skl,sK72_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(X,sK66_skl),skolemize(Y,sK67_skl),skolemize(X,sK68_skl),skolemize(Y,sK69_skl),skolemize(X,sK70_skl),skolemize(Y,sK71_skl),skolemize(X,sK72_skl)],[f9]) ).
fof(f12,plain,
! [X0,X1] :
( p54(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f59,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)],[f10]) ).
fof(f60,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)],[f10]) ).
fof(f81,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)],[f10]) ).
fof(f82,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)],[f10]) ).
fof(f123,plain,
! [X0,X1] :
( p21(X1)
| r1(X1,sK55_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f124,plain,
! [X0,X1] :
( p21(X1)
| ~ p34(sK55_skl(X1,X0))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f137,plain,
! [X0] :
( p12(X0)
| r1(X0,sK62_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f138,plain,
! [X0] :
( p12(X0)
| ~ p21(sK62_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f149,plain,
r1(sK0_skl,sK69_skl),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f150,plain,
r1(sK69_skl,sK70_skl),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f151,plain,
~ p12(sK70_skl),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f155,plain,
( ~ p21(sK62_skl(sK70_skl))
| ~ r1(sK0_skl,sK70_skl) ),
inference(resolution,[status(thm)],[f138,f151]) ).
fof(f156,definition,
( sQ0_spl
<=> r1(sK0_skl,sK70_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( sQ0_spl
| ~ r1(sK0_skl,sK70_skl) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,definition,
( sQ1_spl
<=> p21(sK62_skl(sK70_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f161,plain,
( sQ1_spl
| ~ p21(sK62_skl(sK70_skl)) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f155,f156,f159]) ).
fof(f163,plain,
! [X0] :
( sQ0_spl
| ~ r1(X0,sK70_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f158,f8]) ).
fof(f164,plain,
( sQ0_spl
| ~ r1(sK0_skl,sK69_skl) ),
inference(resolution,[status(thm)],[f163,f150]) ).
fof(f167,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f164,f149]) ).
fof(f168,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f167]) ).
fof(f171,plain,
! [X0] :
( sQ1_spl
| r1(sK62_skl(sK70_skl),sK55_skl(sK62_skl(sK70_skl),X0))
| ~ r1(X0,sK62_skl(sK70_skl))
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f161,f123]) ).
fof(f201,plain,
! [X0,X1,X2,X3] :
( r1(sK55_skl(X1,X0),sK34_skl(sK55_skl(X1,X0),X3,X2))
| ~ r1(X3,sK55_skl(X1,X0))
| ~ r1(X2,X3)
| ~ r1(sK0_skl,X2)
| p21(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f124,f81]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( r1(sK34_skl(X2,X1,X0),sK23_skl(sK34_skl(X2,X1,X0),X5,X4,X3))
| ~ r1(X5,sK34_skl(X2,X1,X0))
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(sK0_skl,X3)
| p34(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f82,f59]) ).
fof(f232,plain,
! [X0,X1,X2,X3,X4] :
( ~ r1(X4,sK23_skl(X3,X2,X1,X0))
| ~ r1(sK0_skl,X4)
| p41(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f60,f12]) ).
fof(f233,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( p34(X3)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(sK0_skl,X5)
| ~ r1(X6,sK23_skl(sK34_skl(X3,X4,X5),X2,X1,X0))
| ~ 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)],[f232,f82]) ).
fof(f234,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ r1(X2,sK34_skl(X3,X4,X5))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0)
| p34(X3)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(sK0_skl,X5)
| p34(X3)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(sK0_skl,X5)
| ~ r1(sK0_skl,sK34_skl(X3,X4,X5))
| ~ r1(X2,sK34_skl(X3,X4,X5))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f233,f218]) ).
fof(f237,plain,
! [X0,X1,X2,X3,X4,X5] :
( p34(X3)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(sK0_skl,X5)
| ~ r1(sK0_skl,sK34_skl(X3,X4,X5))
| ~ r1(X2,sK34_skl(X3,X4,X5))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f234]) ).
fof(f238,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ r1(X6,sK34_skl(X3,X4,X5))
| ~ r1(sK0_skl,X6)
| p34(X3)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(sK0_skl,X5)
| ~ r1(X2,sK34_skl(X3,X4,X5))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f237,f8]) ).
fof(f239,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( p21(X3)
| ~ r1(X4,X3)
| ~ r1(sK0_skl,X4)
| ~ r1(X7,sK34_skl(sK55_skl(X3,X4),X5,X6))
| ~ r1(sK0_skl,X7)
| ~ r1(X5,sK55_skl(X3,X4))
| ~ r1(X6,X5)
| ~ r1(sK0_skl,X6)
| ~ r1(X2,sK34_skl(sK55_skl(X3,X4),X5,X6))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f238,f124]) ).
fof(f264,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ1_spl
| ~ r1(X3,sK62_skl(sK70_skl))
| ~ r1(sK0_skl,X3)
| ~ r1(X6,sK34_skl(sK55_skl(sK62_skl(sK70_skl),X3),X4,X5))
| ~ r1(sK0_skl,X6)
| ~ r1(X4,sK55_skl(sK62_skl(sK70_skl),X3))
| ~ r1(X5,X4)
| ~ r1(sK0_skl,X5)
| ~ r1(X2,sK34_skl(sK55_skl(sK62_skl(sK70_skl),X3),X4,X5))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f239,f161]) ).
fof(f286,plain,
! [X0,X1,X2,X3,X4,X5] :
( sQ1_spl
| p12(sK70_skl)
| ~ r1(sK0_skl,sK70_skl)
| ~ r1(sK0_skl,sK70_skl)
| ~ r1(X5,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(sK0_skl,X5)
| ~ r1(X3,sK55_skl(sK62_skl(sK70_skl),sK70_skl))
| ~ r1(X4,X3)
| ~ r1(sK0_skl,X4)
| ~ r1(X2,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f264,f137]) ).
fof(f289,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ2_spl
<=> ( ~ r1(X5,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(sK0_skl,X5)
| ~ r1(X3,sK55_skl(sK62_skl(sK70_skl),sK70_skl))
| ~ r1(X4,X3)
| ~ r1(sK0_skl,X4)
| ~ r1(X2,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f290,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ2_spl
| ~ r1(X5,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(sK0_skl,X5)
| ~ r1(X3,sK55_skl(sK62_skl(sK70_skl),sK70_skl))
| ~ r1(X4,X3)
| ~ r1(sK0_skl,X4)
| ~ r1(X2,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,definition,
( sQ3_spl
<=> p12(sK70_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ3_spl
| p12(sK70_skl) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,plain,
( sQ1_spl
| sQ3_spl
| ~ sQ0_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f286,f289,f156,f292,f159]) ).
fof(f304,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ2_spl
| ~ r1(X6,sK55_skl(sK62_skl(sK70_skl),sK70_skl))
| ~ r1(X3,X6)
| ~ r1(X5,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(sK0_skl,X5)
| ~ r1(X4,X3)
| ~ r1(sK0_skl,X4)
| ~ r1(X2,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f290,f8]) ).
fof(f309,definition,
( sQ7_spl
<=> r1(sK70_skl,sK62_skl(sK70_skl)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( ~ sQ7_spl
| r1(sK70_skl,sK62_skl(sK70_skl)) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f311,plain,
( sQ7_spl
| ~ r1(sK70_skl,sK62_skl(sK70_skl)) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f313,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f293,f151]) ).
fof(f314,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f313]) ).
fof(f319,plain,
! [X0,X1,X2,X3,X4,X5] :
( sQ1_spl
| ~ sQ2_spl
| ~ r1(sK70_skl,sK62_skl(sK70_skl))
| ~ r1(sK0_skl,sK70_skl)
| ~ r1(X3,sK62_skl(sK70_skl))
| ~ r1(X5,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(sK0_skl,X5)
| ~ r1(X4,X3)
| ~ r1(sK0_skl,X4)
| ~ r1(X2,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f304,f171]) ).
fof(f322,definition,
! [X0,X1,X2,X3,X4,X5] :
( sQ8_spl
<=> ( ~ r1(X3,sK62_skl(sK70_skl))
| ~ r1(X5,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(sK0_skl,X5)
| ~ r1(X4,X3)
| ~ r1(sK0_skl,X4)
| ~ r1(X2,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f323,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ8_spl
| ~ r1(X3,sK62_skl(sK70_skl))
| ~ r1(X5,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(sK0_skl,X5)
| ~ r1(X4,X3)
| ~ r1(sK0_skl,X4)
| ~ r1(X2,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( sQ1_spl
| ~ sQ2_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f319,f322,f156,f309,f289,f159]) ).
fof(f326,plain,
( sQ7_spl
| p12(sK70_skl)
| ~ r1(sK0_skl,sK70_skl) ),
inference(resolution,[status(thm)],[f311,f137]) ).
fof(f328,plain,
( sQ7_spl
| sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f326,f156,f292,f309]) ).
fof(f331,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ8_spl
| ~ r1(X3,sK55_skl(sK62_skl(sK70_skl),sK70_skl))
| ~ r1(X4,X3)
| ~ r1(sK0_skl,X4)
| p21(sK62_skl(sK70_skl))
| ~ r1(sK70_skl,sK62_skl(sK70_skl))
| ~ r1(sK0_skl,sK70_skl)
| ~ r1(X3,sK62_skl(sK70_skl))
| ~ r1(sK0_skl,sK55_skl(sK62_skl(sK70_skl),sK70_skl))
| ~ r1(X4,X3)
| ~ r1(sK0_skl,X4)
| ~ r1(X2,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f323,f201]) ).
fof(f334,definition,
! [X0,X1,X2,X3,X4] :
( sQ9_spl
<=> ( ~ r1(X3,sK55_skl(sK62_skl(sK70_skl),sK70_skl))
| ~ r1(X4,X3)
| ~ r1(sK0_skl,X4)
| ~ r1(X3,sK62_skl(sK70_skl))
| ~ r1(X4,X3)
| ~ r1(sK0_skl,X4)
| ~ r1(X2,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f335,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ9_spl
| ~ r1(X3,sK55_skl(sK62_skl(sK70_skl),sK70_skl))
| ~ r1(X4,X3)
| ~ r1(sK0_skl,X4)
| ~ r1(X3,sK62_skl(sK70_skl))
| ~ r1(X4,X3)
| ~ r1(sK0_skl,X4)
| ~ r1(X2,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,definition,
( sQ10_spl
<=> r1(sK0_skl,sK55_skl(sK62_skl(sK70_skl),sK70_skl)) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( sQ10_spl
| ~ r1(sK0_skl,sK55_skl(sK62_skl(sK70_skl),sK70_skl)) ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,plain,
( ~ sQ8_spl
| sQ1_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f331,f334,f337,f156,f309,f159,f322]) ).
fof(f341,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ9_spl
| ~ r1(X3,sK55_skl(sK62_skl(sK70_skl),sK70_skl))
| ~ r1(X3,sK62_skl(sK70_skl))
| ~ r1(X4,X3)
| ~ r1(sK0_skl,X4)
| ~ r1(X2,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f335]) ).
fof(f343,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ9_spl
| ~ r1(X5,sK55_skl(sK62_skl(sK70_skl),sK70_skl))
| ~ r1(X3,X5)
| ~ r1(X3,sK62_skl(sK70_skl))
| ~ r1(X4,X3)
| ~ r1(sK0_skl,X4)
| ~ r1(X2,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f341,f8]) ).
fof(f348,definition,
( sQ12_spl
<=> r1(sK62_skl(sK70_skl),sK62_skl(sK70_skl)) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( sQ12_spl
| ~ r1(sK62_skl(sK70_skl),sK62_skl(sK70_skl)) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f359,plain,
! [X0,X1,X2,X3,X4] :
( sQ1_spl
| ~ sQ9_spl
| ~ r1(sK70_skl,sK62_skl(sK70_skl))
| ~ r1(sK0_skl,sK70_skl)
| ~ r1(X3,sK62_skl(sK70_skl))
| ~ r1(X3,sK62_skl(sK70_skl))
| ~ r1(X4,X3)
| ~ r1(sK0_skl,X4)
| ~ r1(X2,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f343,f171]) ).
fof(f362,definition,
! [X0,X1,X2,X3,X4] :
( sQ15_spl
<=> ( ~ r1(X3,sK62_skl(sK70_skl))
| ~ r1(X3,sK62_skl(sK70_skl))
| ~ r1(X4,X3)
| ~ r1(sK0_skl,X4)
| ~ r1(X2,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f363,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ15_spl
| ~ r1(X3,sK62_skl(sK70_skl))
| ~ r1(X3,sK62_skl(sK70_skl))
| ~ r1(X4,X3)
| ~ r1(sK0_skl,X4)
| ~ r1(X2,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( sQ1_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f359,f362,f156,f309,f334,f159]) ).
fof(f366,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ15_spl
| ~ r1(X3,sK62_skl(sK70_skl))
| ~ r1(X4,X3)
| ~ r1(sK0_skl,X4)
| ~ r1(X2,sK34_skl(sK55_skl(sK62_skl(sK70_skl),sK70_skl),X3,X4))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f363]) ).
fof(f367,plain,
! [X0,X1,X2,X3] :
( ~ sQ15_spl
| ~ r1(X3,sK55_skl(sK62_skl(sK70_skl),sK70_skl))
| ~ r1(X2,X3)
| ~ r1(sK0_skl,X2)
| p21(sK62_skl(sK70_skl))
| ~ r1(sK70_skl,sK62_skl(sK70_skl))
| ~ r1(sK0_skl,sK70_skl)
| ~ r1(X3,sK62_skl(sK70_skl))
| ~ r1(X2,X3)
| ~ r1(sK0_skl,X2)
| ~ r1(X1,sK55_skl(sK62_skl(sK70_skl),sK70_skl))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f366,f201]) ).
fof(f370,definition,
! [X0,X1] :
( sQ16_spl
<=> ( ~ r1(X1,sK55_skl(sK62_skl(sK70_skl),sK70_skl))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f371,plain,
! [X0,X1] :
( ~ sQ16_spl
| ~ r1(X1,sK55_skl(sK62_skl(sK70_skl),sK70_skl))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,definition,
! [X2,X3] :
( sQ17_spl
<=> ( ~ r1(X3,sK55_skl(sK62_skl(sK70_skl),sK70_skl))
| ~ r1(X2,X3)
| ~ r1(sK0_skl,X2)
| ~ r1(X3,sK62_skl(sK70_skl))
| ~ r1(X2,X3)
| ~ r1(sK0_skl,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f374,plain,
! [X0,X1] :
( ~ sQ17_spl
| ~ r1(X1,sK55_skl(sK62_skl(sK70_skl),sK70_skl))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0)
| ~ r1(X1,sK62_skl(sK70_skl))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,plain,
( ~ sQ15_spl
| sQ1_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f367,f370,f373,f156,f309,f159,f362]) ).
fof(f377,plain,
! [X0] :
( sQ1_spl
| ~ sQ16_spl
| ~ r1(sK70_skl,sK62_skl(sK70_skl))
| ~ r1(sK0_skl,sK70_skl)
| ~ r1(X0,sK62_skl(sK70_skl))
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f371,f171]) ).
fof(f380,definition,
! [X0] :
( sQ18_spl
<=> ( ~ r1(X0,sK62_skl(sK70_skl))
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f381,plain,
! [X0] :
( ~ sQ18_spl
| ~ r1(X0,sK62_skl(sK70_skl))
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( sQ1_spl
| ~ sQ16_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f377,f380,f156,f309,f370,f159]) ).
fof(f384,plain,
! [X0,X1] :
( ~ sQ17_spl
| ~ r1(X1,sK55_skl(sK62_skl(sK70_skl),sK70_skl))
| ~ r1(X1,sK62_skl(sK70_skl))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f374]) ).
fof(f385,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| ~ r1(sK0_skl,sK70_skl) ),
inference(resolution,[status(thm)],[f381,f310]) ).
fof(f389,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f385,f156,f380,f309]) ).
fof(f399,plain,
! [X0] :
( sQ1_spl
| ~ sQ17_spl
| ~ r1(sK70_skl,sK62_skl(sK70_skl))
| ~ r1(sK0_skl,sK70_skl)
| ~ r1(sK62_skl(sK70_skl),sK62_skl(sK70_skl))
| ~ r1(X0,sK62_skl(sK70_skl))
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f384,f171]) ).
fof(f402,plain,
( sQ1_spl
| ~ sQ17_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ12_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f399,f380,f348,f156,f309,f373,f159]) ).
fof(f407,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f350,f5]) ).
fof(f408,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f407]) ).
fof(f409,plain,
! [X0] :
( sQ10_spl
| ~ r1(X0,sK55_skl(sK62_skl(sK70_skl),sK70_skl))
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f339,f8]) ).
fof(f411,plain,
! [X0,X1] :
( sQ10_spl
| ~ r1(X1,sK55_skl(sK62_skl(sK70_skl),sK70_skl))
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f409,f8]) ).
fof(f414,plain,
( sQ10_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f411,f370,f337]) ).
fof(f415,plain,
$false,
inference(sat_refutation,[status(thm)],[f162,f168,f295,f314,f325,f328,f340,f365,f376,f383,f389,f402,f408,f414]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL682+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.42 % Computer : n019.cluster.edu
% 0.09/0.42 % Model : x86_64 x86_64
% 0.09/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.42 % Memory : 8046.5625MB
% 0.09/0.42 % OS : Linux 6.8.0-71-generic
% 0.09/0.42 % CPULimit : 300
% 0.09/0.42 % WCLimit : 300
% 0.09/0.42 % DateTime : Mon Sep 21 00:56:35 UTC 2026
% 0.09/0.42 % CPUTime :
% 0.09/0.44 % Drodi V4.1.1
% 4.16/1.22 % Refutation found
% 4.16/1.22 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.16/1.22 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.70/1.25 % Elapsed time: 0.805464 seconds
% 5.70/1.25 % CPU time: 5.925956 seconds
% 5.70/1.25 % Total memory used: 59.494 MB
% 5.70/1.25 % Net memory used: 51.821 MB
%------------------------------------------------------------------------------