%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL686+1.015 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 : Tue Sep 29 11:56:15 AM UTC 2026
% Result : Theorem 0.54s 0.93s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 24
% Syntax : Number of formulae : 55 ( 4 unt; 22 def)
% Number of atoms : 3744 ( 0 equ)
% Maximal formula atoms : 440 ( 68 avg)
% Number of connectives : 6260 (2571 ~;2107 |;1582 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 147 ( 30 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 69 ( 68 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 719 ( 609 !; 110 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ p45(X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p44(X1)
& ~ p43(X1) )
| ( ~ p44(X1)
& p43(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p43(X0)
& ~ p42(X0) )
| ( ~ p43(X0)
& p42(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p42(X1)
& ~ p41(X1) )
| ( ~ p42(X1)
& p41(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p41(X0)
& ~ p40(X0) )
| ( ~ p41(X0)
& p40(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p40(X1)
& ~ p39(X1) )
| ( ~ p40(X1)
& p39(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p39(X0)
& ~ p38(X0) )
| ( ~ p39(X0)
& p38(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p38(X1)
& ~ p37(X1) )
| ( ~ p38(X1)
& p37(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p37(X0)
& ~ p36(X0) )
| ( ~ p37(X0)
& p36(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p36(X1)
& ~ p35(X1) )
| ( ~ p36(X1)
& p35(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p35(X0)
& ~ p34(X0) )
| ( ~ p35(X0)
& p34(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p34(X1)
& ~ p33(X1) )
| ( ~ p34(X1)
& p33(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p33(X0)
& ~ p32(X0) )
| ( ~ p33(X0)
& p32(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p32(X1)
& ~ p31(X1) )
| ( ~ p32(X1)
& p31(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p31(X0)
& ~ p30(X0) )
| ( ~ p31(X0)
& p30(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p30(X1)
& ~ p29(X1) )
| ( ~ p30(X1)
& p29(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p29(X0)
& ~ p28(X0) )
| ( ~ p29(X0)
& p28(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p28(X1)
& ~ p27(X1) )
| ( ~ p28(X1)
& p27(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p27(X0)
& ~ p26(X0) )
| ( ~ p27(X0)
& p26(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p26(X1)
& ~ p25(X1) )
| ( ~ p26(X1)
& p25(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p25(X0)
& ~ p24(X0) )
| ( ~ p25(X0)
& p24(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p24(X1)
& ~ p23(X1) )
| ( ~ p24(X1)
& p23(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p23(X0)
& ~ p22(X0) )
| ( ~ p23(X0)
& p22(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p22(X1)
& ~ p21(X1) )
| ( ~ p22(X1)
& p21(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p21(X0)
& ~ p20(X0) )
| ( ~ p21(X0)
& p20(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p20(X1)
& ~ p19(X1) )
| ( ~ p20(X1)
& p19(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p19(X0)
& ~ p18(X0) )
| ( ~ p19(X0)
& p18(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p18(X1)
& ~ p17(X1) )
| ( ~ p18(X1)
& p17(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p17(X0)
& ~ p16(X0) )
| ( ~ p17(X0)
& p16(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p16(X1)
& ~ p15(X1) )
| ( ~ p16(X1)
& p15(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p15(X0)
& ~ p14(X0) )
| ( ~ p15(X0)
& p14(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p14(X1)
& ~ p13(X1) )
| ( ~ p14(X1)
& p13(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p13(X0)
& ~ p12(X0) )
| ( ~ p13(X0)
& p12(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p12(X1)
& ~ p11(X1) )
| ( ~ p12(X1)
& p11(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p11(X0)
& ~ p10(X0) )
| ( ~ p11(X0)
& p10(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p10(X1)
& ~ p9(X1) )
| ( ~ p10(X1)
& p9(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p9(X0)
& ~ p8(X0) )
| ( ~ p9(X0)
& p8(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p8(X1)
& ~ p7(X1) )
| ( ~ p8(X1)
& p7(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p7(X0)
& ~ p6(X0) )
| ( ~ p7(X0)
& p6(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p6(X1)
& ~ p5(X1) )
| ( ~ p6(X1)
& p5(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p5(X0)
& ~ p4(X0) )
| ( ~ p5(X0)
& p4(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p4(X1)
& ~ p3(X1) )
| ( ~ p4(X1)
& p3(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p3(X0)
& ~ p2(X0) )
| ( ~ p3(X0)
& p2(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p2(X1)
& ~ p1(X1) )
| ( ~ p2(X1)
& p1(X1) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p45(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| ( ~ p43(X1)
& ~ p44(X1) )
| ( p44(X1)
& p43(X1) )
| ( ~ p42(X1)
& ~ p43(X1) )
| ( p43(X1)
& p42(X1) )
| ( ~ p41(X1)
& ~ p42(X1) )
| ( p42(X1)
& p41(X1) )
| ( ~ p40(X1)
& ~ p41(X1) )
| ( p41(X1)
& p40(X1) )
| ( ~ p39(X1)
& ~ p40(X1) )
| ( p40(X1)
& p39(X1) )
| ( ~ p38(X1)
& ~ p39(X1) )
| ( p39(X1)
& p38(X1) )
| ( ~ p37(X1)
& ~ p38(X1) )
| ( p38(X1)
& p37(X1) )
| ( ~ p36(X1)
& ~ p37(X1) )
| ( p37(X1)
& p36(X1) )
| ( ~ p35(X1)
& ~ p36(X1) )
| ( p36(X1)
& p35(X1) )
| ( ~ p34(X1)
& ~ p35(X1) )
| ( p35(X1)
& p34(X1) )
| ( ~ p33(X1)
& ~ p34(X1) )
| ( p34(X1)
& p33(X1) )
| ( ~ p32(X1)
& ~ p33(X1) )
| ( p33(X1)
& p32(X1) )
| ( ~ p31(X1)
& ~ p32(X1) )
| ( p32(X1)
& p31(X1) )
| ( ~ p30(X1)
& ~ p31(X1) )
| ( p31(X1)
& p30(X1) )
| ( ~ p29(X1)
& ~ p30(X1) )
| ( p30(X1)
& p29(X1) )
| ( ~ p28(X1)
& ~ p29(X1) )
| ( p29(X1)
& p28(X1) )
| ( ~ p27(X1)
& ~ p28(X1) )
| ( p28(X1)
& p27(X1) )
| ( ~ p26(X1)
& ~ p27(X1) )
| ( p27(X1)
& p26(X1) )
| ( ~ p25(X1)
& ~ p26(X1) )
| ( p26(X1)
& p25(X1) )
| ( ~ p24(X1)
& ~ p25(X1) )
| ( p25(X1)
& p24(X1) )
| ( ~ p23(X1)
& ~ p24(X1) )
| ( p24(X1)
& p23(X1) )
| ( ~ p22(X1)
& ~ p23(X1) )
| ( p23(X1)
& p22(X1) )
| ( ~ p21(X1)
& ~ p22(X1) )
| ( p22(X1)
& p21(X1) )
| ( ~ p20(X1)
& ~ p21(X1) )
| ( p21(X1)
& p20(X1) )
| ( ~ p19(X1)
& ~ p20(X1) )
| ( p20(X1)
& p19(X1) )
| ( ~ p18(X1)
& ~ p19(X1) )
| ( p19(X1)
& p18(X1) )
| ( ~ p17(X1)
& ~ p18(X1) )
| ( p18(X1)
& p17(X1) )
| ( ~ p16(X1)
& ~ p17(X1) )
| ( p17(X1)
& p16(X1) )
| ( ~ p15(X1)
& ~ p16(X1) )
| ( p16(X1)
& p15(X1) )
| ( ~ p14(X1)
& ~ p15(X1) )
| ( p15(X1)
& p14(X1) )
| ( ~ p13(X1)
& ~ p14(X1) )
| ( p14(X1)
& p13(X1) )
| ( ~ p12(X1)
& ~ p13(X1) )
| ( p13(X1)
& p12(X1) )
| ( ~ p11(X1)
& ~ p12(X1) )
| ( p12(X1)
& p11(X1) )
| ( ~ p10(X1)
& ~ p11(X1) )
| ( p11(X1)
& p10(X1) )
| ( ~ p9(X1)
& ~ p10(X1) )
| ( p10(X1)
& p9(X1) )
| ( ~ p8(X1)
& ~ p9(X1) )
| ( p9(X1)
& p8(X1) )
| ( ~ p7(X1)
& ~ p8(X1) )
| ( p8(X1)
& p7(X1) )
| ( ~ p6(X1)
& ~ p7(X1) )
| ( p7(X1)
& p6(X1) )
| ( ~ p5(X1)
& ~ p6(X1) )
| ( p6(X1)
& p5(X1) )
| ( ~ p4(X1)
& ~ p5(X1) )
| ( p5(X1)
& p4(X1) )
| ( ~ p3(X1)
& ~ p4(X1) )
| ( p4(X1)
& p3(X1) )
| ( ~ p2(X1)
& ~ p3(X1) )
| ( p3(X1)
& p2(X1) )
| ( ~ p1(X1)
& ~ p2(X1) )
| ( p2(X1)
& p1(X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ p45(X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p44(X1)
& ~ p43(X1) )
| ( ~ p44(X1)
& p43(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p43(X0)
& ~ p42(X0) )
| ( ~ p43(X0)
& p42(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p42(X1)
& ~ p41(X1) )
| ( ~ p42(X1)
& p41(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p41(X0)
& ~ p40(X0) )
| ( ~ p41(X0)
& p40(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p40(X1)
& ~ p39(X1) )
| ( ~ p40(X1)
& p39(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p39(X0)
& ~ p38(X0) )
| ( ~ p39(X0)
& p38(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p38(X1)
& ~ p37(X1) )
| ( ~ p38(X1)
& p37(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p37(X0)
& ~ p36(X0) )
| ( ~ p37(X0)
& p36(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p36(X1)
& ~ p35(X1) )
| ( ~ p36(X1)
& p35(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p35(X0)
& ~ p34(X0) )
| ( ~ p35(X0)
& p34(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p34(X1)
& ~ p33(X1) )
| ( ~ p34(X1)
& p33(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p33(X0)
& ~ p32(X0) )
| ( ~ p33(X0)
& p32(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p32(X1)
& ~ p31(X1) )
| ( ~ p32(X1)
& p31(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p31(X0)
& ~ p30(X0) )
| ( ~ p31(X0)
& p30(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p30(X1)
& ~ p29(X1) )
| ( ~ p30(X1)
& p29(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p29(X0)
& ~ p28(X0) )
| ( ~ p29(X0)
& p28(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p28(X1)
& ~ p27(X1) )
| ( ~ p28(X1)
& p27(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p27(X0)
& ~ p26(X0) )
| ( ~ p27(X0)
& p26(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p26(X1)
& ~ p25(X1) )
| ( ~ p26(X1)
& p25(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p25(X0)
& ~ p24(X0) )
| ( ~ p25(X0)
& p24(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p24(X1)
& ~ p23(X1) )
| ( ~ p24(X1)
& p23(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p23(X0)
& ~ p22(X0) )
| ( ~ p23(X0)
& p22(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p22(X1)
& ~ p21(X1) )
| ( ~ p22(X1)
& p21(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p21(X0)
& ~ p20(X0) )
| ( ~ p21(X0)
& p20(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p20(X1)
& ~ p19(X1) )
| ( ~ p20(X1)
& p19(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p19(X0)
& ~ p18(X0) )
| ( ~ p19(X0)
& p18(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p18(X1)
& ~ p17(X1) )
| ( ~ p18(X1)
& p17(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p17(X0)
& ~ p16(X0) )
| ( ~ p17(X0)
& p16(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p16(X1)
& ~ p15(X1) )
| ( ~ p16(X1)
& p15(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p15(X0)
& ~ p14(X0) )
| ( ~ p15(X0)
& p14(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p14(X1)
& ~ p13(X1) )
| ( ~ p14(X1)
& p13(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p13(X0)
& ~ p12(X0) )
| ( ~ p13(X0)
& p12(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p12(X1)
& ~ p11(X1) )
| ( ~ p12(X1)
& p11(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p11(X0)
& ~ p10(X0) )
| ( ~ p11(X0)
& p10(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p10(X1)
& ~ p9(X1) )
| ( ~ p10(X1)
& p9(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p9(X0)
& ~ p8(X0) )
| ( ~ p9(X0)
& p8(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p8(X1)
& ~ p7(X1) )
| ( ~ p8(X1)
& p7(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p7(X0)
& ~ p6(X0) )
| ( ~ p7(X0)
& p6(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p6(X1)
& ~ p5(X1) )
| ( ~ p6(X1)
& p5(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p5(X0)
& ~ p4(X0) )
| ( ~ p5(X0)
& p4(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p4(X1)
& ~ p3(X1) )
| ( ~ p4(X1)
& p3(X1) ) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p3(X0)
& ~ p2(X0) )
| ( ~ p3(X0)
& p2(X0) ) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p2(X1)
& ~ p1(X1) )
| ( ~ p2(X1)
& p1(X1) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p45(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| ( ~ p43(X1)
& ~ p44(X1) )
| ( p44(X1)
& p43(X1) )
| ( ~ p42(X1)
& ~ p43(X1) )
| ( p43(X1)
& p42(X1) )
| ( ~ p41(X1)
& ~ p42(X1) )
| ( p42(X1)
& p41(X1) )
| ( ~ p40(X1)
& ~ p41(X1) )
| ( p41(X1)
& p40(X1) )
| ( ~ p39(X1)
& ~ p40(X1) )
| ( p40(X1)
& p39(X1) )
| ( ~ p38(X1)
& ~ p39(X1) )
| ( p39(X1)
& p38(X1) )
| ( ~ p37(X1)
& ~ p38(X1) )
| ( p38(X1)
& p37(X1) )
| ( ~ p36(X1)
& ~ p37(X1) )
| ( p37(X1)
& p36(X1) )
| ( ~ p35(X1)
& ~ p36(X1) )
| ( p36(X1)
& p35(X1) )
| ( ~ p34(X1)
& ~ p35(X1) )
| ( p35(X1)
& p34(X1) )
| ( ~ p33(X1)
& ~ p34(X1) )
| ( p34(X1)
& p33(X1) )
| ( ~ p32(X1)
& ~ p33(X1) )
| ( p33(X1)
& p32(X1) )
| ( ~ p31(X1)
& ~ p32(X1) )
| ( p32(X1)
& p31(X1) )
| ( ~ p30(X1)
& ~ p31(X1) )
| ( p31(X1)
& p30(X1) )
| ( ~ p29(X1)
& ~ p30(X1) )
| ( p30(X1)
& p29(X1) )
| ( ~ p28(X1)
& ~ p29(X1) )
| ( p29(X1)
& p28(X1) )
| ( ~ p27(X1)
& ~ p28(X1) )
| ( p28(X1)
& p27(X1) )
| ( ~ p26(X1)
& ~ p27(X1) )
| ( p27(X1)
& p26(X1) )
| ( ~ p25(X1)
& ~ p26(X1) )
| ( p26(X1)
& p25(X1) )
| ( ~ p24(X1)
& ~ p25(X1) )
| ( p25(X1)
& p24(X1) )
| ( ~ p23(X1)
& ~ p24(X1) )
| ( p24(X1)
& p23(X1) )
| ( ~ p22(X1)
& ~ p23(X1) )
| ( p23(X1)
& p22(X1) )
| ( ~ p21(X1)
& ~ p22(X1) )
| ( p22(X1)
& p21(X1) )
| ( ~ p20(X1)
& ~ p21(X1) )
| ( p21(X1)
& p20(X1) )
| ( ~ p19(X1)
& ~ p20(X1) )
| ( p20(X1)
& p19(X1) )
| ( ~ p18(X1)
& ~ p19(X1) )
| ( p19(X1)
& p18(X1) )
| ( ~ p17(X1)
& ~ p18(X1) )
| ( p18(X1)
& p17(X1) )
| ( ~ p16(X1)
& ~ p17(X1) )
| ( p17(X1)
& p16(X1) )
| ( ~ p15(X1)
& ~ p16(X1) )
| ( p16(X1)
& p15(X1) )
| ( ~ p14(X1)
& ~ p15(X1) )
| ( p15(X1)
& p14(X1) )
| ( ~ p13(X1)
& ~ p14(X1) )
| ( p14(X1)
& p13(X1) )
| ( ~ p12(X1)
& ~ p13(X1) )
| ( p13(X1)
& p12(X1) )
| ( ~ p11(X1)
& ~ p12(X1) )
| ( p12(X1)
& p11(X1) )
| ( ~ p10(X1)
& ~ p11(X1) )
| ( p11(X1)
& p10(X1) )
| ( ~ p9(X1)
& ~ p10(X1) )
| ( p10(X1)
& p9(X1) )
| ( ~ p8(X1)
& ~ p9(X1) )
| ( p9(X1)
& p8(X1) )
| ( ~ p7(X1)
& ~ p8(X1) )
| ( p8(X1)
& p7(X1) )
| ( ~ p6(X1)
& ~ p7(X1) )
| ( p7(X1)
& p6(X1) )
| ( ~ p5(X1)
& ~ p6(X1) )
| ( p6(X1)
& p5(X1) )
| ( ~ p4(X1)
& ~ p5(X1) )
| ( p5(X1)
& p4(X1) )
| ( ~ p3(X1)
& ~ p4(X1) )
| ( p4(X1)
& p3(X1) )
| ( ~ p2(X1)
& ~ p3(X1) )
| ( p3(X1)
& p2(X1) )
| ( ~ p1(X1)
& ~ p2(X1) )
| ( p2(X1)
& p1(X1) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ p45(X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
| ! [X3] :
( ~ r1(X0,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ~ ( ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| ! [X38] :
( ~ r1(X37,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| ! [X47] :
( ~ r1(X46,X47)
| $false )
| ~ ! [X48] :
( ~ r1(X46,X48)
| ~ ( ( p44(X48)
& ~ p43(X48) )
| ( ~ p44(X48)
& p43(X48) ) ) ) )
| ~ ! [X49] :
( ~ r1(X45,X49)
| ~ ( ( p43(X49)
& ~ p42(X49) )
| ( ~ p43(X49)
& p42(X49) ) ) ) )
| ~ ! [X50] :
( ~ r1(X44,X50)
| ~ ( ( p42(X50)
& ~ p41(X50) )
| ( ~ p42(X50)
& p41(X50) ) ) ) )
| ~ ! [X51] :
( ~ r1(X43,X51)
| ~ ( ( p41(X51)
& ~ p40(X51) )
| ( ~ p41(X51)
& p40(X51) ) ) ) )
| ~ ! [X52] :
( ~ r1(X42,X52)
| ~ ( ( p40(X52)
& ~ p39(X52) )
| ( ~ p40(X52)
& p39(X52) ) ) ) )
| ~ ! [X53] :
( ~ r1(X41,X53)
| ~ ( ( p39(X53)
& ~ p38(X53) )
| ( ~ p39(X53)
& p38(X53) ) ) ) )
| ~ ! [X54] :
( ~ r1(X40,X54)
| ~ ( ( p38(X54)
& ~ p37(X54) )
| ( ~ p38(X54)
& p37(X54) ) ) ) )
| ~ ! [X55] :
( ~ r1(X39,X55)
| ~ ( ( p37(X55)
& ~ p36(X55) )
| ( ~ p37(X55)
& p36(X55) ) ) ) )
| ~ ! [X56] :
( ~ r1(X38,X56)
| ~ ( ( p36(X56)
& ~ p35(X56) )
| ( ~ p36(X56)
& p35(X56) ) ) ) )
| ~ ! [X57] :
( ~ r1(X37,X57)
| ~ ( ( p35(X57)
& ~ p34(X57) )
| ( ~ p35(X57)
& p34(X57) ) ) ) )
| ~ ! [X58] :
( ~ r1(X36,X58)
| ~ ( ( p34(X58)
& ~ p33(X58) )
| ( ~ p34(X58)
& p33(X58) ) ) ) )
| ~ ! [X59] :
( ~ r1(X35,X59)
| ~ ( ( p33(X59)
& ~ p32(X59) )
| ( ~ p33(X59)
& p32(X59) ) ) ) )
| ~ ! [X60] :
( ~ r1(X34,X60)
| ~ ( ( p32(X60)
& ~ p31(X60) )
| ( ~ p32(X60)
& p31(X60) ) ) ) )
| ~ ! [X61] :
( ~ r1(X33,X61)
| ~ ( ( p31(X61)
& ~ p30(X61) )
| ( ~ p31(X61)
& p30(X61) ) ) ) )
| ~ ! [X62] :
( ~ r1(X32,X62)
| ~ ( ( p30(X62)
& ~ p29(X62) )
| ( ~ p30(X62)
& p29(X62) ) ) ) )
| ~ ! [X63] :
( ~ r1(X31,X63)
| ~ ( ( p29(X63)
& ~ p28(X63) )
| ( ~ p29(X63)
& p28(X63) ) ) ) )
| ~ ! [X64] :
( ~ r1(X30,X64)
| ~ ( ( p28(X64)
& ~ p27(X64) )
| ( ~ p28(X64)
& p27(X64) ) ) ) )
| ~ ! [X65] :
( ~ r1(X29,X65)
| ~ ( ( p27(X65)
& ~ p26(X65) )
| ( ~ p27(X65)
& p26(X65) ) ) ) )
| ~ ! [X66] :
( ~ r1(X28,X66)
| ~ ( ( p26(X66)
& ~ p25(X66) )
| ( ~ p26(X66)
& p25(X66) ) ) ) )
| ~ ! [X67] :
( ~ r1(X27,X67)
| ~ ( ( p25(X67)
& ~ p24(X67) )
| ( ~ p25(X67)
& p24(X67) ) ) ) )
| ~ ! [X68] :
( ~ r1(X26,X68)
| ~ ( ( p24(X68)
& ~ p23(X68) )
| ( ~ p24(X68)
& p23(X68) ) ) ) )
| ~ ! [X69] :
( ~ r1(X25,X69)
| ~ ( ( p23(X69)
& ~ p22(X69) )
| ( ~ p23(X69)
& p22(X69) ) ) ) )
| ~ ! [X70] :
( ~ r1(X24,X70)
| ~ ( ( p22(X70)
& ~ p21(X70) )
| ( ~ p22(X70)
& p21(X70) ) ) ) )
| ~ ! [X71] :
( ~ r1(X23,X71)
| ~ ( ( p21(X71)
& ~ p20(X71) )
| ( ~ p21(X71)
& p20(X71) ) ) ) )
| ~ ! [X72] :
( ~ r1(X22,X72)
| ~ ( ( p20(X72)
& ~ p19(X72) )
| ( ~ p20(X72)
& p19(X72) ) ) ) )
| ~ ! [X73] :
( ~ r1(X21,X73)
| ~ ( ( p19(X73)
& ~ p18(X73) )
| ( ~ p19(X73)
& p18(X73) ) ) ) )
| ~ ! [X74] :
( ~ r1(X20,X74)
| ~ ( ( p18(X74)
& ~ p17(X74) )
| ( ~ p18(X74)
& p17(X74) ) ) ) )
| ~ ! [X75] :
( ~ r1(X19,X75)
| ~ ( ( p17(X75)
& ~ p16(X75) )
| ( ~ p17(X75)
& p16(X75) ) ) ) )
| ~ ! [X76] :
( ~ r1(X18,X76)
| ~ ( ( p16(X76)
& ~ p15(X76) )
| ( ~ p16(X76)
& p15(X76) ) ) ) )
| ~ ! [X77] :
( ~ r1(X17,X77)
| ~ ( ( p15(X77)
& ~ p14(X77) )
| ( ~ p15(X77)
& p14(X77) ) ) ) )
| ~ ! [X78] :
( ~ r1(X16,X78)
| ~ ( ( p14(X78)
& ~ p13(X78) )
| ( ~ p14(X78)
& p13(X78) ) ) ) )
| ~ ! [X79] :
( ~ r1(X15,X79)
| ~ ( ( p13(X79)
& ~ p12(X79) )
| ( ~ p13(X79)
& p12(X79) ) ) ) )
| ~ ! [X80] :
( ~ r1(X14,X80)
| ~ ( ( p12(X80)
& ~ p11(X80) )
| ( ~ p12(X80)
& p11(X80) ) ) ) )
| ~ ! [X81] :
( ~ r1(X13,X81)
| ~ ( ( p11(X81)
& ~ p10(X81) )
| ( ~ p11(X81)
& p10(X81) ) ) ) )
| ~ ! [X82] :
( ~ r1(X12,X82)
| ~ ( ( p10(X82)
& ~ p9(X82) )
| ( ~ p10(X82)
& p9(X82) ) ) ) )
| ~ ! [X83] :
( ~ r1(X11,X83)
| ~ ( ( p9(X83)
& ~ p8(X83) )
| ( ~ p9(X83)
& p8(X83) ) ) ) )
| ~ ! [X84] :
( ~ r1(X10,X84)
| ~ ( ( p8(X84)
& ~ p7(X84) )
| ( ~ p8(X84)
& p7(X84) ) ) ) )
| ~ ! [X85] :
( ~ r1(X9,X85)
| ~ ( ( p7(X85)
& ~ p6(X85) )
| ( ~ p7(X85)
& p6(X85) ) ) ) )
| ~ ! [X86] :
( ~ r1(X8,X86)
| ~ ( ( p6(X86)
& ~ p5(X86) )
| ( ~ p6(X86)
& p5(X86) ) ) ) )
| ~ ! [X87] :
( ~ r1(X7,X87)
| ~ ( ( p5(X87)
& ~ p4(X87) )
| ( ~ p5(X87)
& p4(X87) ) ) ) )
| ~ ! [X88] :
( ~ r1(X6,X88)
| ~ ( ( p4(X88)
& ~ p3(X88) )
| ( ~ p4(X88)
& p3(X88) ) ) ) )
| ~ ! [X89] :
( ~ r1(X5,X89)
| ~ ( ( p3(X89)
& ~ p2(X89) )
| ( ~ p3(X89)
& p2(X89) ) ) ) )
| ~ ! [X90] :
( ~ r1(X4,X90)
| ~ ( ( p2(X90)
& ~ p1(X90) )
| ( ~ p2(X90)
& p1(X90) ) ) )
| ! [X91] :
( ~ r1(X4,X91)
| p45(X91) )
| ! [X92] :
( ~ r1(X4,X92)
| ( ~ p43(X92)
& ~ p44(X92) )
| ( p44(X92)
& p43(X92) )
| ( ~ p42(X92)
& ~ p43(X92) )
| ( p43(X92)
& p42(X92) )
| ( ~ p41(X92)
& ~ p42(X92) )
| ( p42(X92)
& p41(X92) )
| ( ~ p40(X92)
& ~ p41(X92) )
| ( p41(X92)
& p40(X92) )
| ( ~ p39(X92)
& ~ p40(X92) )
| ( p40(X92)
& p39(X92) )
| ( ~ p38(X92)
& ~ p39(X92) )
| ( p39(X92)
& p38(X92) )
| ( ~ p37(X92)
& ~ p38(X92) )
| ( p38(X92)
& p37(X92) )
| ( ~ p36(X92)
& ~ p37(X92) )
| ( p37(X92)
& p36(X92) )
| ( ~ p35(X92)
& ~ p36(X92) )
| ( p36(X92)
& p35(X92) )
| ( ~ p34(X92)
& ~ p35(X92) )
| ( p35(X92)
& p34(X92) )
| ( ~ p33(X92)
& ~ p34(X92) )
| ( p34(X92)
& p33(X92) )
| ( ~ p32(X92)
& ~ p33(X92) )
| ( p33(X92)
& p32(X92) )
| ( ~ p31(X92)
& ~ p32(X92) )
| ( p32(X92)
& p31(X92) )
| ( ~ p30(X92)
& ~ p31(X92) )
| ( p31(X92)
& p30(X92) )
| ( ~ p29(X92)
& ~ p30(X92) )
| ( p30(X92)
& p29(X92) )
| ( ~ p28(X92)
& ~ p29(X92) )
| ( p29(X92)
& p28(X92) )
| ( ~ p27(X92)
& ~ p28(X92) )
| ( p28(X92)
& p27(X92) )
| ( ~ p26(X92)
& ~ p27(X92) )
| ( p27(X92)
& p26(X92) )
| ( ~ p25(X92)
& ~ p26(X92) )
| ( p26(X92)
& p25(X92) )
| ( ~ p24(X92)
& ~ p25(X92) )
| ( p25(X92)
& p24(X92) )
| ( ~ p23(X92)
& ~ p24(X92) )
| ( p24(X92)
& p23(X92) )
| ( ~ p22(X92)
& ~ p23(X92) )
| ( p23(X92)
& p22(X92) )
| ( ~ p21(X92)
& ~ p22(X92) )
| ( p22(X92)
& p21(X92) )
| ( ~ p20(X92)
& ~ p21(X92) )
| ( p21(X92)
& p20(X92) )
| ( ~ p19(X92)
& ~ p20(X92) )
| ( p20(X92)
& p19(X92) )
| ( ~ p18(X92)
& ~ p19(X92) )
| ( p19(X92)
& p18(X92) )
| ( ~ p17(X92)
& ~ p18(X92) )
| ( p18(X92)
& p17(X92) )
| ( ~ p16(X92)
& ~ p17(X92) )
| ( p17(X92)
& p16(X92) )
| ( ~ p15(X92)
& ~ p16(X92) )
| ( p16(X92)
& p15(X92) )
| ( ~ p14(X92)
& ~ p15(X92) )
| ( p15(X92)
& p14(X92) )
| ( ~ p13(X92)
& ~ p14(X92) )
| ( p14(X92)
& p13(X92) )
| ( ~ p12(X92)
& ~ p13(X92) )
| ( p13(X92)
& p12(X92) )
| ( ~ p11(X92)
& ~ p12(X92) )
| ( p12(X92)
& p11(X92) )
| ( ~ p10(X92)
& ~ p11(X92) )
| ( p11(X92)
& p10(X92) )
| ( ~ p9(X92)
& ~ p10(X92) )
| ( p10(X92)
& p9(X92) )
| ( ~ p8(X92)
& ~ p9(X92) )
| ( p9(X92)
& p8(X92) )
| ( ~ p7(X92)
& ~ p8(X92) )
| ( p8(X92)
& p7(X92) )
| ( ~ p6(X92)
& ~ p7(X92) )
| ( p7(X92)
& p6(X92) )
| ( ~ p5(X92)
& ~ p6(X92) )
| ( p6(X92)
& p5(X92) )
| ( ~ p4(X92)
& ~ p5(X92) )
| ( p5(X92)
& p4(X92) )
| ( ~ p3(X92)
& ~ p4(X92) )
| ( p4(X92)
& p3(X92) )
| ( ~ p2(X92)
& ~ p3(X92) )
| ( p3(X92)
& p2(X92) )
| ( ~ p1(X92)
& ~ p2(X92) )
| ( p2(X92)
& p1(X92) ) ) ) ) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ p45(X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
| ! [X3] :
( ~ r1(X0,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ~ ( ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| ! [X38] :
( ~ r1(X37,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| ! [X47] : ~ r1(X46,X47)
| ~ ! [X48] :
( ~ r1(X46,X48)
| ~ ( ( p44(X48)
& ~ p43(X48) )
| ( ~ p44(X48)
& p43(X48) ) ) ) )
| ~ ! [X49] :
( ~ r1(X45,X49)
| ~ ( ( p43(X49)
& ~ p42(X49) )
| ( ~ p43(X49)
& p42(X49) ) ) ) )
| ~ ! [X50] :
( ~ r1(X44,X50)
| ~ ( ( p42(X50)
& ~ p41(X50) )
| ( ~ p42(X50)
& p41(X50) ) ) ) )
| ~ ! [X51] :
( ~ r1(X43,X51)
| ~ ( ( p41(X51)
& ~ p40(X51) )
| ( ~ p41(X51)
& p40(X51) ) ) ) )
| ~ ! [X52] :
( ~ r1(X42,X52)
| ~ ( ( p40(X52)
& ~ p39(X52) )
| ( ~ p40(X52)
& p39(X52) ) ) ) )
| ~ ! [X53] :
( ~ r1(X41,X53)
| ~ ( ( p39(X53)
& ~ p38(X53) )
| ( ~ p39(X53)
& p38(X53) ) ) ) )
| ~ ! [X54] :
( ~ r1(X40,X54)
| ~ ( ( p38(X54)
& ~ p37(X54) )
| ( ~ p38(X54)
& p37(X54) ) ) ) )
| ~ ! [X55] :
( ~ r1(X39,X55)
| ~ ( ( p37(X55)
& ~ p36(X55) )
| ( ~ p37(X55)
& p36(X55) ) ) ) )
| ~ ! [X56] :
( ~ r1(X38,X56)
| ~ ( ( p36(X56)
& ~ p35(X56) )
| ( ~ p36(X56)
& p35(X56) ) ) ) )
| ~ ! [X57] :
( ~ r1(X37,X57)
| ~ ( ( p35(X57)
& ~ p34(X57) )
| ( ~ p35(X57)
& p34(X57) ) ) ) )
| ~ ! [X58] :
( ~ r1(X36,X58)
| ~ ( ( p34(X58)
& ~ p33(X58) )
| ( ~ p34(X58)
& p33(X58) ) ) ) )
| ~ ! [X59] :
( ~ r1(X35,X59)
| ~ ( ( p33(X59)
& ~ p32(X59) )
| ( ~ p33(X59)
& p32(X59) ) ) ) )
| ~ ! [X60] :
( ~ r1(X34,X60)
| ~ ( ( p32(X60)
& ~ p31(X60) )
| ( ~ p32(X60)
& p31(X60) ) ) ) )
| ~ ! [X61] :
( ~ r1(X33,X61)
| ~ ( ( p31(X61)
& ~ p30(X61) )
| ( ~ p31(X61)
& p30(X61) ) ) ) )
| ~ ! [X62] :
( ~ r1(X32,X62)
| ~ ( ( p30(X62)
& ~ p29(X62) )
| ( ~ p30(X62)
& p29(X62) ) ) ) )
| ~ ! [X63] :
( ~ r1(X31,X63)
| ~ ( ( p29(X63)
& ~ p28(X63) )
| ( ~ p29(X63)
& p28(X63) ) ) ) )
| ~ ! [X64] :
( ~ r1(X30,X64)
| ~ ( ( p28(X64)
& ~ p27(X64) )
| ( ~ p28(X64)
& p27(X64) ) ) ) )
| ~ ! [X65] :
( ~ r1(X29,X65)
| ~ ( ( p27(X65)
& ~ p26(X65) )
| ( ~ p27(X65)
& p26(X65) ) ) ) )
| ~ ! [X66] :
( ~ r1(X28,X66)
| ~ ( ( p26(X66)
& ~ p25(X66) )
| ( ~ p26(X66)
& p25(X66) ) ) ) )
| ~ ! [X67] :
( ~ r1(X27,X67)
| ~ ( ( p25(X67)
& ~ p24(X67) )
| ( ~ p25(X67)
& p24(X67) ) ) ) )
| ~ ! [X68] :
( ~ r1(X26,X68)
| ~ ( ( p24(X68)
& ~ p23(X68) )
| ( ~ p24(X68)
& p23(X68) ) ) ) )
| ~ ! [X69] :
( ~ r1(X25,X69)
| ~ ( ( p23(X69)
& ~ p22(X69) )
| ( ~ p23(X69)
& p22(X69) ) ) ) )
| ~ ! [X70] :
( ~ r1(X24,X70)
| ~ ( ( p22(X70)
& ~ p21(X70) )
| ( ~ p22(X70)
& p21(X70) ) ) ) )
| ~ ! [X71] :
( ~ r1(X23,X71)
| ~ ( ( p21(X71)
& ~ p20(X71) )
| ( ~ p21(X71)
& p20(X71) ) ) ) )
| ~ ! [X72] :
( ~ r1(X22,X72)
| ~ ( ( p20(X72)
& ~ p19(X72) )
| ( ~ p20(X72)
& p19(X72) ) ) ) )
| ~ ! [X73] :
( ~ r1(X21,X73)
| ~ ( ( p19(X73)
& ~ p18(X73) )
| ( ~ p19(X73)
& p18(X73) ) ) ) )
| ~ ! [X74] :
( ~ r1(X20,X74)
| ~ ( ( p18(X74)
& ~ p17(X74) )
| ( ~ p18(X74)
& p17(X74) ) ) ) )
| ~ ! [X75] :
( ~ r1(X19,X75)
| ~ ( ( p17(X75)
& ~ p16(X75) )
| ( ~ p17(X75)
& p16(X75) ) ) ) )
| ~ ! [X76] :
( ~ r1(X18,X76)
| ~ ( ( p16(X76)
& ~ p15(X76) )
| ( ~ p16(X76)
& p15(X76) ) ) ) )
| ~ ! [X77] :
( ~ r1(X17,X77)
| ~ ( ( p15(X77)
& ~ p14(X77) )
| ( ~ p15(X77)
& p14(X77) ) ) ) )
| ~ ! [X78] :
( ~ r1(X16,X78)
| ~ ( ( p14(X78)
& ~ p13(X78) )
| ( ~ p14(X78)
& p13(X78) ) ) ) )
| ~ ! [X79] :
( ~ r1(X15,X79)
| ~ ( ( p13(X79)
& ~ p12(X79) )
| ( ~ p13(X79)
& p12(X79) ) ) ) )
| ~ ! [X80] :
( ~ r1(X14,X80)
| ~ ( ( p12(X80)
& ~ p11(X80) )
| ( ~ p12(X80)
& p11(X80) ) ) ) )
| ~ ! [X81] :
( ~ r1(X13,X81)
| ~ ( ( p11(X81)
& ~ p10(X81) )
| ( ~ p11(X81)
& p10(X81) ) ) ) )
| ~ ! [X82] :
( ~ r1(X12,X82)
| ~ ( ( p10(X82)
& ~ p9(X82) )
| ( ~ p10(X82)
& p9(X82) ) ) ) )
| ~ ! [X83] :
( ~ r1(X11,X83)
| ~ ( ( p9(X83)
& ~ p8(X83) )
| ( ~ p9(X83)
& p8(X83) ) ) ) )
| ~ ! [X84] :
( ~ r1(X10,X84)
| ~ ( ( p8(X84)
& ~ p7(X84) )
| ( ~ p8(X84)
& p7(X84) ) ) ) )
| ~ ! [X85] :
( ~ r1(X9,X85)
| ~ ( ( p7(X85)
& ~ p6(X85) )
| ( ~ p7(X85)
& p6(X85) ) ) ) )
| ~ ! [X86] :
( ~ r1(X8,X86)
| ~ ( ( p6(X86)
& ~ p5(X86) )
| ( ~ p6(X86)
& p5(X86) ) ) ) )
| ~ ! [X87] :
( ~ r1(X7,X87)
| ~ ( ( p5(X87)
& ~ p4(X87) )
| ( ~ p5(X87)
& p4(X87) ) ) ) )
| ~ ! [X88] :
( ~ r1(X6,X88)
| ~ ( ( p4(X88)
& ~ p3(X88) )
| ( ~ p4(X88)
& p3(X88) ) ) ) )
| ~ ! [X89] :
( ~ r1(X5,X89)
| ~ ( ( p3(X89)
& ~ p2(X89) )
| ( ~ p3(X89)
& p2(X89) ) ) ) )
| ~ ! [X90] :
( ~ r1(X4,X90)
| ~ ( ( p2(X90)
& ~ p1(X90) )
| ( ~ p2(X90)
& p1(X90) ) ) )
| ! [X91] :
( ~ r1(X4,X91)
| p45(X91) )
| ! [X92] :
( ~ r1(X4,X92)
| ( ~ p43(X92)
& ~ p44(X92) )
| ( p44(X92)
& p43(X92) )
| ( ~ p42(X92)
& ~ p43(X92) )
| ( p43(X92)
& p42(X92) )
| ( ~ p41(X92)
& ~ p42(X92) )
| ( p42(X92)
& p41(X92) )
| ( ~ p40(X92)
& ~ p41(X92) )
| ( p41(X92)
& p40(X92) )
| ( ~ p39(X92)
& ~ p40(X92) )
| ( p40(X92)
& p39(X92) )
| ( ~ p38(X92)
& ~ p39(X92) )
| ( p39(X92)
& p38(X92) )
| ( ~ p37(X92)
& ~ p38(X92) )
| ( p38(X92)
& p37(X92) )
| ( ~ p36(X92)
& ~ p37(X92) )
| ( p37(X92)
& p36(X92) )
| ( ~ p35(X92)
& ~ p36(X92) )
| ( p36(X92)
& p35(X92) )
| ( ~ p34(X92)
& ~ p35(X92) )
| ( p35(X92)
& p34(X92) )
| ( ~ p33(X92)
& ~ p34(X92) )
| ( p34(X92)
& p33(X92) )
| ( ~ p32(X92)
& ~ p33(X92) )
| ( p33(X92)
& p32(X92) )
| ( ~ p31(X92)
& ~ p32(X92) )
| ( p32(X92)
& p31(X92) )
| ( ~ p30(X92)
& ~ p31(X92) )
| ( p31(X92)
& p30(X92) )
| ( ~ p29(X92)
& ~ p30(X92) )
| ( p30(X92)
& p29(X92) )
| ( ~ p28(X92)
& ~ p29(X92) )
| ( p29(X92)
& p28(X92) )
| ( ~ p27(X92)
& ~ p28(X92) )
| ( p28(X92)
& p27(X92) )
| ( ~ p26(X92)
& ~ p27(X92) )
| ( p27(X92)
& p26(X92) )
| ( ~ p25(X92)
& ~ p26(X92) )
| ( p26(X92)
& p25(X92) )
| ( ~ p24(X92)
& ~ p25(X92) )
| ( p25(X92)
& p24(X92) )
| ( ~ p23(X92)
& ~ p24(X92) )
| ( p24(X92)
& p23(X92) )
| ( ~ p22(X92)
& ~ p23(X92) )
| ( p23(X92)
& p22(X92) )
| ( ~ p21(X92)
& ~ p22(X92) )
| ( p22(X92)
& p21(X92) )
| ( ~ p20(X92)
& ~ p21(X92) )
| ( p21(X92)
& p20(X92) )
| ( ~ p19(X92)
& ~ p20(X92) )
| ( p20(X92)
& p19(X92) )
| ( ~ p18(X92)
& ~ p19(X92) )
| ( p19(X92)
& p18(X92) )
| ( ~ p17(X92)
& ~ p18(X92) )
| ( p18(X92)
& p17(X92) )
| ( ~ p16(X92)
& ~ p17(X92) )
| ( p17(X92)
& p16(X92) )
| ( ~ p15(X92)
& ~ p16(X92) )
| ( p16(X92)
& p15(X92) )
| ( ~ p14(X92)
& ~ p15(X92) )
| ( p15(X92)
& p14(X92) )
| ( ~ p13(X92)
& ~ p14(X92) )
| ( p14(X92)
& p13(X92) )
| ( ~ p12(X92)
& ~ p13(X92) )
| ( p13(X92)
& p12(X92) )
| ( ~ p11(X92)
& ~ p12(X92) )
| ( p12(X92)
& p11(X92) )
| ( ~ p10(X92)
& ~ p11(X92) )
| ( p11(X92)
& p10(X92) )
| ( ~ p9(X92)
& ~ p10(X92) )
| ( p10(X92)
& p9(X92) )
| ( ~ p8(X92)
& ~ p9(X92) )
| ( p9(X92)
& p8(X92) )
| ( ~ p7(X92)
& ~ p8(X92) )
| ( p8(X92)
& p7(X92) )
| ( ~ p6(X92)
& ~ p7(X92) )
| ( p7(X92)
& p6(X92) )
| ( ~ p5(X92)
& ~ p6(X92) )
| ( p6(X92)
& p5(X92) )
| ( ~ p4(X92)
& ~ p5(X92) )
| ( p5(X92)
& p4(X92) )
| ( ~ p3(X92)
& ~ p4(X92) )
| ( p4(X92)
& p3(X92) )
| ( ~ p2(X92)
& ~ p3(X92) )
| ( p3(X92)
& p2(X92) )
| ( ~ p1(X92)
& ~ p2(X92) )
| ( p2(X92)
& p1(X92) ) ) ) ) ) ),
inference(true_and_false_elimination,[],[f5]) ).
fof(f7,plain,
? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ p45(X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
| ! [X3] :
( ~ r1(X0,X3)
| ~ ! [X4] :
( ~ r1(X3,X4)
| ~ ( ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ~ r1(X7,X8)
| ! [X9] :
( ~ r1(X8,X9)
| ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| ! [X12] :
( ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X22] :
( ~ r1(X21,X22)
| ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( ~ r1(X30,X31)
| ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( ~ r1(X36,X37)
| ! [X38] :
( ~ r1(X37,X38)
| ! [X39] :
( ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| ! [X41] :
( ~ r1(X40,X41)
| ! [X42] :
( ~ r1(X41,X42)
| ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| ! [X47] : ~ r1(X46,X47)
| ~ ! [X48] :
( ~ r1(X46,X48)
| ~ ( ( p44(X48)
& ~ p43(X48) )
| ( ~ p44(X48)
& p43(X48) ) ) ) )
| ~ ! [X49] :
( ~ r1(X45,X49)
| ~ ( ( p43(X49)
& ~ p42(X49) )
| ( ~ p43(X49)
& p42(X49) ) ) ) )
| ~ ! [X50] :
( ~ r1(X44,X50)
| ~ ( ( p42(X50)
& ~ p41(X50) )
| ( ~ p42(X50)
& p41(X50) ) ) ) )
| ~ ! [X51] :
( ~ r1(X43,X51)
| ~ ( ( p41(X51)
& ~ p40(X51) )
| ( ~ p41(X51)
& p40(X51) ) ) ) )
| ~ ! [X52] :
( ~ r1(X42,X52)
| ~ ( ( p40(X52)
& ~ p39(X52) )
| ( ~ p40(X52)
& p39(X52) ) ) ) )
| ~ ! [X53] :
( ~ r1(X41,X53)
| ~ ( ( p39(X53)
& ~ p38(X53) )
| ( ~ p39(X53)
& p38(X53) ) ) ) )
| ~ ! [X54] :
( ~ r1(X40,X54)
| ~ ( ( p38(X54)
& ~ p37(X54) )
| ( ~ p38(X54)
& p37(X54) ) ) ) )
| ~ ! [X55] :
( ~ r1(X39,X55)
| ~ ( ( p37(X55)
& ~ p36(X55) )
| ( ~ p37(X55)
& p36(X55) ) ) ) )
| ~ ! [X56] :
( ~ r1(X38,X56)
| ~ ( ( p36(X56)
& ~ p35(X56) )
| ( ~ p36(X56)
& p35(X56) ) ) ) )
| ~ ! [X57] :
( ~ r1(X37,X57)
| ~ ( ( p35(X57)
& ~ p34(X57) )
| ( ~ p35(X57)
& p34(X57) ) ) ) )
| ~ ! [X58] :
( ~ r1(X36,X58)
| ~ ( ( p34(X58)
& ~ p33(X58) )
| ( ~ p34(X58)
& p33(X58) ) ) ) )
| ~ ! [X59] :
( ~ r1(X35,X59)
| ~ ( ( p33(X59)
& ~ p32(X59) )
| ( ~ p33(X59)
& p32(X59) ) ) ) )
| ~ ! [X60] :
( ~ r1(X34,X60)
| ~ ( ( p32(X60)
& ~ p31(X60) )
| ( ~ p32(X60)
& p31(X60) ) ) ) )
| ~ ! [X61] :
( ~ r1(X33,X61)
| ~ ( ( p31(X61)
& ~ p30(X61) )
| ( ~ p31(X61)
& p30(X61) ) ) ) )
| ~ ! [X62] :
( ~ r1(X32,X62)
| ~ ( ( p30(X62)
& ~ p29(X62) )
| ( ~ p30(X62)
& p29(X62) ) ) ) )
| ~ ! [X63] :
( ~ r1(X31,X63)
| ~ ( ( p29(X63)
& ~ p28(X63) )
| ( ~ p29(X63)
& p28(X63) ) ) ) )
| ~ ! [X64] :
( ~ r1(X30,X64)
| ~ ( ( p28(X64)
& ~ p27(X64) )
| ( ~ p28(X64)
& p27(X64) ) ) ) )
| ~ ! [X65] :
( ~ r1(X29,X65)
| ~ ( ( p27(X65)
& ~ p26(X65) )
| ( ~ p27(X65)
& p26(X65) ) ) ) )
| ~ ! [X66] :
( ~ r1(X28,X66)
| ~ ( ( p26(X66)
& ~ p25(X66) )
| ( ~ p26(X66)
& p25(X66) ) ) ) )
| ~ ! [X67] :
( ~ r1(X27,X67)
| ~ ( ( p25(X67)
& ~ p24(X67) )
| ( ~ p25(X67)
& p24(X67) ) ) ) )
| ~ ! [X68] :
( ~ r1(X26,X68)
| ~ ( ( p24(X68)
& ~ p23(X68) )
| ( ~ p24(X68)
& p23(X68) ) ) ) )
| ~ ! [X69] :
( ~ r1(X25,X69)
| ~ ( ( p23(X69)
& ~ p22(X69) )
| ( ~ p23(X69)
& p22(X69) ) ) ) )
| ~ ! [X70] :
( ~ r1(X24,X70)
| ~ ( ( p22(X70)
& ~ p21(X70) )
| ( ~ p22(X70)
& p21(X70) ) ) ) )
| ~ ! [X71] :
( ~ r1(X23,X71)
| ~ ( ( p21(X71)
& ~ p20(X71) )
| ( ~ p21(X71)
& p20(X71) ) ) ) )
| ~ ! [X72] :
( ~ r1(X22,X72)
| ~ ( ( p20(X72)
& ~ p19(X72) )
| ( ~ p20(X72)
& p19(X72) ) ) ) )
| ~ ! [X73] :
( ~ r1(X21,X73)
| ~ ( ( p19(X73)
& ~ p18(X73) )
| ( ~ p19(X73)
& p18(X73) ) ) ) )
| ~ ! [X74] :
( ~ r1(X20,X74)
| ~ ( ( p18(X74)
& ~ p17(X74) )
| ( ~ p18(X74)
& p17(X74) ) ) ) )
| ~ ! [X75] :
( ~ r1(X19,X75)
| ~ ( ( p17(X75)
& ~ p16(X75) )
| ( ~ p17(X75)
& p16(X75) ) ) ) )
| ~ ! [X76] :
( ~ r1(X18,X76)
| ~ ( ( p16(X76)
& ~ p15(X76) )
| ( ~ p16(X76)
& p15(X76) ) ) ) )
| ~ ! [X77] :
( ~ r1(X17,X77)
| ~ ( ( p15(X77)
& ~ p14(X77) )
| ( ~ p15(X77)
& p14(X77) ) ) ) )
| ~ ! [X78] :
( ~ r1(X16,X78)
| ~ ( ( p14(X78)
& ~ p13(X78) )
| ( ~ p14(X78)
& p13(X78) ) ) ) )
| ~ ! [X79] :
( ~ r1(X15,X79)
| ~ ( ( p13(X79)
& ~ p12(X79) )
| ( ~ p13(X79)
& p12(X79) ) ) ) )
| ~ ! [X80] :
( ~ r1(X14,X80)
| ~ ( ( p12(X80)
& ~ p11(X80) )
| ( ~ p12(X80)
& p11(X80) ) ) ) )
| ~ ! [X81] :
( ~ r1(X13,X81)
| ~ ( ( p11(X81)
& ~ p10(X81) )
| ( ~ p11(X81)
& p10(X81) ) ) ) )
| ~ ! [X82] :
( ~ r1(X12,X82)
| ~ ( ( p10(X82)
& ~ p9(X82) )
| ( ~ p10(X82)
& p9(X82) ) ) ) )
| ~ ! [X83] :
( ~ r1(X11,X83)
| ~ ( ( p9(X83)
& ~ p8(X83) )
| ( ~ p9(X83)
& p8(X83) ) ) ) )
| ~ ! [X84] :
( ~ r1(X10,X84)
| ~ ( ( p8(X84)
& ~ p7(X84) )
| ( ~ p8(X84)
& p7(X84) ) ) ) )
| ~ ! [X85] :
( ~ r1(X9,X85)
| ~ ( ( p7(X85)
& ~ p6(X85) )
| ( ~ p7(X85)
& p6(X85) ) ) ) )
| ~ ! [X86] :
( ~ r1(X8,X86)
| ~ ( ( p6(X86)
& ~ p5(X86) )
| ( ~ p6(X86)
& p5(X86) ) ) ) )
| ~ ! [X87] :
( ~ r1(X7,X87)
| ~ ( ( p5(X87)
& ~ p4(X87) )
| ( ~ p5(X87)
& p4(X87) ) ) ) )
| ~ ! [X88] :
( ~ r1(X6,X88)
| ~ ( ( p4(X88)
& ~ p3(X88) )
| ( ~ p4(X88)
& p3(X88) ) ) ) )
| ~ ! [X89] :
( ~ r1(X5,X89)
| ~ ( ( p3(X89)
& ~ p2(X89) )
| ( ~ p3(X89)
& p2(X89) ) ) ) )
| ~ ! [X90] :
( ~ r1(X4,X90)
| ~ ( ( p2(X90)
& ~ p1(X90) )
| ( ~ p2(X90)
& p1(X90) ) ) )
| ! [X91] :
( ~ r1(X4,X91)
| p45(X91) )
| ! [X92] :
( ~ r1(X4,X92)
| ( ~ p43(X92)
& ~ p44(X92) )
| ( p44(X92)
& p43(X92) )
| ( ~ p42(X92)
& ~ p43(X92) )
| ( p43(X92)
& p42(X92) )
| ( ~ p41(X92)
& ~ p42(X92) )
| ( p42(X92)
& p41(X92) )
| ( ~ p40(X92)
& ~ p41(X92) )
| ( p41(X92)
& p40(X92) )
| ( ~ p39(X92)
& ~ p40(X92) )
| ( p40(X92)
& p39(X92) )
| ( ~ p38(X92)
& ~ p39(X92) )
| ( p39(X92)
& p38(X92) )
| ( ~ p37(X92)
& ~ p38(X92) )
| ( p38(X92)
& p37(X92) )
| ( ~ p36(X92)
& ~ p37(X92) )
| ( p37(X92)
& p36(X92) )
| ( ~ p35(X92)
& ~ p36(X92) )
| ( p36(X92)
& p35(X92) )
| ( ~ p34(X92)
& ~ p35(X92) )
| ( p35(X92)
& p34(X92) )
| ( ~ p33(X92)
& ~ p34(X92) )
| ( p34(X92)
& p33(X92) )
| ( ~ p32(X92)
& ~ p33(X92) )
| ( p33(X92)
& p32(X92) )
| ( ~ p31(X92)
& ~ p32(X92) )
| ( p32(X92)
& p31(X92) )
| ( ~ p30(X92)
& ~ p31(X92) )
| ( p31(X92)
& p30(X92) )
| ( ~ p29(X92)
& ~ p30(X92) )
| ( p30(X92)
& p29(X92) )
| ( ~ p28(X92)
& ~ p29(X92) )
| ( p29(X92)
& p28(X92) )
| ( ~ p27(X92)
& ~ p28(X92) )
| ( p28(X92)
& p27(X92) )
| ( ~ p26(X92)
& ~ p27(X92) )
| ( p27(X92)
& p26(X92) )
| ( ~ p25(X92)
& ~ p26(X92) )
| ( p26(X92)
& p25(X92) )
| ( ~ p24(X92)
& ~ p25(X92) )
| ( p25(X92)
& p24(X92) )
| ( ~ p23(X92)
& ~ p24(X92) )
| ( p24(X92)
& p23(X92) )
| ( ~ p22(X92)
& ~ p23(X92) )
| ( p23(X92)
& p22(X92) )
| ( ~ p21(X92)
& ~ p22(X92) )
| ( p22(X92)
& p21(X92) )
| ( ~ p20(X92)
& ~ p21(X92) )
| ( p21(X92)
& p20(X92) )
| ( ~ p19(X92)
& ~ p20(X92) )
| ( p20(X92)
& p19(X92) )
| ( ~ p18(X92)
& ~ p19(X92) )
| ( p19(X92)
& p18(X92) )
| ( ~ p17(X92)
& ~ p18(X92) )
| ( p18(X92)
& p17(X92) )
| ( ~ p16(X92)
& ~ p17(X92) )
| ( p17(X92)
& p16(X92) )
| ( ~ p15(X92)
& ~ p16(X92) )
| ( p16(X92)
& p15(X92) )
| ( ~ p14(X92)
& ~ p15(X92) )
| ( p15(X92)
& p14(X92) )
| ( ~ p13(X92)
& ~ p14(X92) )
| ( p14(X92)
& p13(X92) )
| ( ~ p12(X92)
& ~ p13(X92) )
| ( p13(X92)
& p12(X92) )
| ( ~ p11(X92)
& ~ p12(X92) )
| ( p12(X92)
& p11(X92) )
| ( ~ p10(X92)
& ~ p11(X92) )
| ( p11(X92)
& p10(X92) )
| ( ~ p9(X92)
& ~ p10(X92) )
| ( p10(X92)
& p9(X92) )
| ( ~ p8(X92)
& ~ p9(X92) )
| ( p9(X92)
& p8(X92) )
| ( ~ p7(X92)
& ~ p8(X92) )
| ( p8(X92)
& p7(X92) )
| ( ~ p6(X92)
& ~ p7(X92) )
| ( p7(X92)
& p6(X92) )
| ( ~ p5(X92)
& ~ p6(X92) )
| ( p6(X92)
& p5(X92) )
| ( ~ p4(X92)
& ~ p5(X92) )
| ( p5(X92)
& p4(X92) )
| ( ~ p3(X92)
& ~ p4(X92) )
| ( p4(X92)
& p3(X92) )
| ( ~ p2(X92)
& ~ p3(X92) )
| ( p3(X92)
& p2(X92) )
| ( ~ p1(X92)
& ~ p2(X92) )
| ( p2(X92)
& p1(X92) ) ) ) ) ) ),
inference(flattening,[],[f6]) ).
fof(f10,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& p45(X1)
& ? [X2] :
( r1(X1,X2)
& p1(X2) ) )
& ? [X3] :
( r1(X0,X3)
& ! [X4] :
( ~ r1(X3,X4)
| ( ? [X5] :
( r1(X4,X5)
& ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& ? [X9] :
( r1(X8,X9)
& ? [X10] :
( r1(X9,X10)
& ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& ? [X13] :
( r1(X12,X13)
& ? [X14] :
( r1(X13,X14)
& ? [X15] :
( r1(X14,X15)
& ? [X16] :
( r1(X15,X16)
& ? [X17] :
( r1(X16,X17)
& ? [X18] :
( r1(X17,X18)
& ? [X19] :
( r1(X18,X19)
& ? [X20] :
( r1(X19,X20)
& ? [X21] :
( r1(X20,X21)
& ? [X22] :
( r1(X21,X22)
& ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& ? [X25] :
( r1(X24,X25)
& ? [X26] :
( r1(X25,X26)
& ? [X27] :
( r1(X26,X27)
& ? [X28] :
( r1(X27,X28)
& ? [X29] :
( r1(X28,X29)
& ? [X30] :
( r1(X29,X30)
& ? [X31] :
( r1(X30,X31)
& ? [X32] :
( r1(X31,X32)
& ? [X33] :
( r1(X32,X33)
& ? [X34] :
( r1(X33,X34)
& ? [X35] :
( r1(X34,X35)
& ? [X36] :
( r1(X35,X36)
& ? [X37] :
( r1(X36,X37)
& ? [X38] :
( r1(X37,X38)
& ? [X39] :
( r1(X38,X39)
& ? [X40] :
( r1(X39,X40)
& ? [X41] :
( r1(X40,X41)
& ? [X42] :
( r1(X41,X42)
& ? [X43] :
( r1(X42,X43)
& ? [X44] :
( r1(X43,X44)
& ? [X45] :
( r1(X44,X45)
& ? [X46] :
( r1(X45,X46)
& ? [X47] : r1(X46,X47)
& ! [X48] :
( ~ r1(X46,X48)
| ( ( ~ p44(X48)
| p43(X48) )
& ( p44(X48)
| ~ p43(X48) ) ) ) )
& ! [X49] :
( ~ r1(X45,X49)
| ( ( ~ p43(X49)
| p42(X49) )
& ( p43(X49)
| ~ p42(X49) ) ) ) )
& ! [X50] :
( ~ r1(X44,X50)
| ( ( ~ p42(X50)
| p41(X50) )
& ( p42(X50)
| ~ p41(X50) ) ) ) )
& ! [X51] :
( ~ r1(X43,X51)
| ( ( ~ p41(X51)
| p40(X51) )
& ( p41(X51)
| ~ p40(X51) ) ) ) )
& ! [X52] :
( ~ r1(X42,X52)
| ( ( ~ p40(X52)
| p39(X52) )
& ( p40(X52)
| ~ p39(X52) ) ) ) )
& ! [X53] :
( ~ r1(X41,X53)
| ( ( ~ p39(X53)
| p38(X53) )
& ( p39(X53)
| ~ p38(X53) ) ) ) )
& ! [X54] :
( ~ r1(X40,X54)
| ( ( ~ p38(X54)
| p37(X54) )
& ( p38(X54)
| ~ p37(X54) ) ) ) )
& ! [X55] :
( ~ r1(X39,X55)
| ( ( ~ p37(X55)
| p36(X55) )
& ( p37(X55)
| ~ p36(X55) ) ) ) )
& ! [X56] :
( ~ r1(X38,X56)
| ( ( ~ p36(X56)
| p35(X56) )
& ( p36(X56)
| ~ p35(X56) ) ) ) )
& ! [X57] :
( ~ r1(X37,X57)
| ( ( ~ p35(X57)
| p34(X57) )
& ( p35(X57)
| ~ p34(X57) ) ) ) )
& ! [X58] :
( ~ r1(X36,X58)
| ( ( ~ p34(X58)
| p33(X58) )
& ( p34(X58)
| ~ p33(X58) ) ) ) )
& ! [X59] :
( ~ r1(X35,X59)
| ( ( ~ p33(X59)
| p32(X59) )
& ( p33(X59)
| ~ p32(X59) ) ) ) )
& ! [X60] :
( ~ r1(X34,X60)
| ( ( ~ p32(X60)
| p31(X60) )
& ( p32(X60)
| ~ p31(X60) ) ) ) )
& ! [X61] :
( ~ r1(X33,X61)
| ( ( ~ p31(X61)
| p30(X61) )
& ( p31(X61)
| ~ p30(X61) ) ) ) )
& ! [X62] :
( ~ r1(X32,X62)
| ( ( ~ p30(X62)
| p29(X62) )
& ( p30(X62)
| ~ p29(X62) ) ) ) )
& ! [X63] :
( ~ r1(X31,X63)
| ( ( ~ p29(X63)
| p28(X63) )
& ( p29(X63)
| ~ p28(X63) ) ) ) )
& ! [X64] :
( ~ r1(X30,X64)
| ( ( ~ p28(X64)
| p27(X64) )
& ( p28(X64)
| ~ p27(X64) ) ) ) )
& ! [X65] :
( ~ r1(X29,X65)
| ( ( ~ p27(X65)
| p26(X65) )
& ( p27(X65)
| ~ p26(X65) ) ) ) )
& ! [X66] :
( ~ r1(X28,X66)
| ( ( ~ p26(X66)
| p25(X66) )
& ( p26(X66)
| ~ p25(X66) ) ) ) )
& ! [X67] :
( ~ r1(X27,X67)
| ( ( ~ p25(X67)
| p24(X67) )
& ( p25(X67)
| ~ p24(X67) ) ) ) )
& ! [X68] :
( ~ r1(X26,X68)
| ( ( ~ p24(X68)
| p23(X68) )
& ( p24(X68)
| ~ p23(X68) ) ) ) )
& ! [X69] :
( ~ r1(X25,X69)
| ( ( ~ p23(X69)
| p22(X69) )
& ( p23(X69)
| ~ p22(X69) ) ) ) )
& ! [X70] :
( ~ r1(X24,X70)
| ( ( ~ p22(X70)
| p21(X70) )
& ( p22(X70)
| ~ p21(X70) ) ) ) )
& ! [X71] :
( ~ r1(X23,X71)
| ( ( ~ p21(X71)
| p20(X71) )
& ( p21(X71)
| ~ p20(X71) ) ) ) )
& ! [X72] :
( ~ r1(X22,X72)
| ( ( ~ p20(X72)
| p19(X72) )
& ( p20(X72)
| ~ p19(X72) ) ) ) )
& ! [X73] :
( ~ r1(X21,X73)
| ( ( ~ p19(X73)
| p18(X73) )
& ( p19(X73)
| ~ p18(X73) ) ) ) )
& ! [X74] :
( ~ r1(X20,X74)
| ( ( ~ p18(X74)
| p17(X74) )
& ( p18(X74)
| ~ p17(X74) ) ) ) )
& ! [X75] :
( ~ r1(X19,X75)
| ( ( ~ p17(X75)
| p16(X75) )
& ( p17(X75)
| ~ p16(X75) ) ) ) )
& ! [X76] :
( ~ r1(X18,X76)
| ( ( ~ p16(X76)
| p15(X76) )
& ( p16(X76)
| ~ p15(X76) ) ) ) )
& ! [X77] :
( ~ r1(X17,X77)
| ( ( ~ p15(X77)
| p14(X77) )
& ( p15(X77)
| ~ p14(X77) ) ) ) )
& ! [X78] :
( ~ r1(X16,X78)
| ( ( ~ p14(X78)
| p13(X78) )
& ( p14(X78)
| ~ p13(X78) ) ) ) )
& ! [X79] :
( ~ r1(X15,X79)
| ( ( ~ p13(X79)
| p12(X79) )
& ( p13(X79)
| ~ p12(X79) ) ) ) )
& ! [X80] :
( ~ r1(X14,X80)
| ( ( ~ p12(X80)
| p11(X80) )
& ( p12(X80)
| ~ p11(X80) ) ) ) )
& ! [X81] :
( ~ r1(X13,X81)
| ( ( ~ p11(X81)
| p10(X81) )
& ( p11(X81)
| ~ p10(X81) ) ) ) )
& ! [X82] :
( ~ r1(X12,X82)
| ( ( ~ p10(X82)
| p9(X82) )
& ( p10(X82)
| ~ p9(X82) ) ) ) )
& ! [X83] :
( ~ r1(X11,X83)
| ( ( ~ p9(X83)
| p8(X83) )
& ( p9(X83)
| ~ p8(X83) ) ) ) )
& ! [X84] :
( ~ r1(X10,X84)
| ( ( ~ p8(X84)
| p7(X84) )
& ( p8(X84)
| ~ p7(X84) ) ) ) )
& ! [X85] :
( ~ r1(X9,X85)
| ( ( ~ p7(X85)
| p6(X85) )
& ( p7(X85)
| ~ p6(X85) ) ) ) )
& ! [X86] :
( ~ r1(X8,X86)
| ( ( ~ p6(X86)
| p5(X86) )
& ( p6(X86)
| ~ p5(X86) ) ) ) )
& ! [X87] :
( ~ r1(X7,X87)
| ( ( ~ p5(X87)
| p4(X87) )
& ( p5(X87)
| ~ p4(X87) ) ) ) )
& ! [X88] :
( ~ r1(X6,X88)
| ( ( ~ p4(X88)
| p3(X88) )
& ( p4(X88)
| ~ p3(X88) ) ) ) )
& ! [X89] :
( ~ r1(X5,X89)
| ( ( ~ p3(X89)
| p2(X89) )
& ( p3(X89)
| ~ p2(X89) ) ) ) )
& ! [X90] :
( ~ r1(X4,X90)
| ( ( ~ p2(X90)
| p1(X90) )
& ( p2(X90)
| ~ p1(X90) ) ) )
& ? [X91] :
( r1(X4,X91)
& ~ p45(X91) )
& ? [X92] :
( r1(X4,X92)
& ( p43(X92)
| p44(X92) )
& ( ~ p44(X92)
| ~ p43(X92) )
& ( p42(X92)
| p43(X92) )
& ( ~ p43(X92)
| ~ p42(X92) )
& ( p41(X92)
| p42(X92) )
& ( ~ p42(X92)
| ~ p41(X92) )
& ( p40(X92)
| p41(X92) )
& ( ~ p41(X92)
| ~ p40(X92) )
& ( p39(X92)
| p40(X92) )
& ( ~ p40(X92)
| ~ p39(X92) )
& ( p38(X92)
| p39(X92) )
& ( ~ p39(X92)
| ~ p38(X92) )
& ( p37(X92)
| p38(X92) )
& ( ~ p38(X92)
| ~ p37(X92) )
& ( p36(X92)
| p37(X92) )
& ( ~ p37(X92)
| ~ p36(X92) )
& ( p35(X92)
| p36(X92) )
& ( ~ p36(X92)
| ~ p35(X92) )
& ( p34(X92)
| p35(X92) )
& ( ~ p35(X92)
| ~ p34(X92) )
& ( p33(X92)
| p34(X92) )
& ( ~ p34(X92)
| ~ p33(X92) )
& ( p32(X92)
| p33(X92) )
& ( ~ p33(X92)
| ~ p32(X92) )
& ( p31(X92)
| p32(X92) )
& ( ~ p32(X92)
| ~ p31(X92) )
& ( p30(X92)
| p31(X92) )
& ( ~ p31(X92)
| ~ p30(X92) )
& ( p29(X92)
| p30(X92) )
& ( ~ p30(X92)
| ~ p29(X92) )
& ( p28(X92)
| p29(X92) )
& ( ~ p29(X92)
| ~ p28(X92) )
& ( p27(X92)
| p28(X92) )
& ( ~ p28(X92)
| ~ p27(X92) )
& ( p26(X92)
| p27(X92) )
& ( ~ p27(X92)
| ~ p26(X92) )
& ( p25(X92)
| p26(X92) )
& ( ~ p26(X92)
| ~ p25(X92) )
& ( p24(X92)
| p25(X92) )
& ( ~ p25(X92)
| ~ p24(X92) )
& ( p23(X92)
| p24(X92) )
& ( ~ p24(X92)
| ~ p23(X92) )
& ( p22(X92)
| p23(X92) )
& ( ~ p23(X92)
| ~ p22(X92) )
& ( p21(X92)
| p22(X92) )
& ( ~ p22(X92)
| ~ p21(X92) )
& ( p20(X92)
| p21(X92) )
& ( ~ p21(X92)
| ~ p20(X92) )
& ( p19(X92)
| p20(X92) )
& ( ~ p20(X92)
| ~ p19(X92) )
& ( p18(X92)
| p19(X92) )
& ( ~ p19(X92)
| ~ p18(X92) )
& ( p17(X92)
| p18(X92) )
& ( ~ p18(X92)
| ~ p17(X92) )
& ( p16(X92)
| p17(X92) )
& ( ~ p17(X92)
| ~ p16(X92) )
& ( p15(X92)
| p16(X92) )
& ( ~ p16(X92)
| ~ p15(X92) )
& ( p14(X92)
| p15(X92) )
& ( ~ p15(X92)
| ~ p14(X92) )
& ( p13(X92)
| p14(X92) )
& ( ~ p14(X92)
| ~ p13(X92) )
& ( p12(X92)
| p13(X92) )
& ( ~ p13(X92)
| ~ p12(X92) )
& ( p11(X92)
| p12(X92) )
& ( ~ p12(X92)
| ~ p11(X92) )
& ( p10(X92)
| p11(X92) )
& ( ~ p11(X92)
| ~ p10(X92) )
& ( p9(X92)
| p10(X92) )
& ( ~ p10(X92)
| ~ p9(X92) )
& ( p8(X92)
| p9(X92) )
& ( ~ p9(X92)
| ~ p8(X92) )
& ( p7(X92)
| p8(X92) )
& ( ~ p8(X92)
| ~ p7(X92) )
& ( p6(X92)
| p7(X92) )
& ( ~ p7(X92)
| ~ p6(X92) )
& ( p5(X92)
| p6(X92) )
& ( ~ p6(X92)
| ~ p5(X92) )
& ( p4(X92)
| p5(X92) )
& ( ~ p5(X92)
| ~ p4(X92) )
& ( p3(X92)
| p4(X92) )
& ( ~ p4(X92)
| ~ p3(X92) )
& ( p2(X92)
| p3(X92) )
& ( ~ p3(X92)
| ~ p2(X92) )
& ( p1(X92)
| p2(X92) )
& ( ~ p2(X92)
| ~ p1(X92) ) ) ) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f11,definition,
! [X44] :
( ? [X45] :
( r1(X44,X45)
& ? [X46] :
( r1(X45,X46)
& ? [X47] : r1(X46,X47)
& ! [X48] :
( ~ r1(X46,X48)
| ( ( ~ p44(X48)
| p43(X48) )
& ( p44(X48)
| ~ p43(X48) ) ) ) )
& ! [X49] :
( ~ r1(X45,X49)
| ( ( ~ p43(X49)
| p42(X49) )
& ( p43(X49)
| ~ p42(X49) ) ) ) )
| ~ sP0(X44) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X42] :
( ? [X43] :
( r1(X42,X43)
& ? [X44] :
( r1(X43,X44)
& sP0(X44)
& ! [X50] :
( ~ r1(X44,X50)
| ( ( ~ p42(X50)
| p41(X50) )
& ( p42(X50)
| ~ p41(X50) ) ) ) )
& ! [X51] :
( ~ r1(X43,X51)
| ( ( ~ p41(X51)
| p40(X51) )
& ( p41(X51)
| ~ p40(X51) ) ) ) )
| ~ sP1(X42) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X40] :
( ? [X41] :
( r1(X40,X41)
& ? [X42] :
( r1(X41,X42)
& sP1(X42)
& ! [X52] :
( ~ r1(X42,X52)
| ( ( ~ p40(X52)
| p39(X52) )
& ( p40(X52)
| ~ p39(X52) ) ) ) )
& ! [X53] :
( ~ r1(X41,X53)
| ( ( ~ p39(X53)
| p38(X53) )
& ( p39(X53)
| ~ p38(X53) ) ) ) )
| ~ sP2(X40) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X38] :
( ? [X39] :
( r1(X38,X39)
& ? [X40] :
( r1(X39,X40)
& sP2(X40)
& ! [X54] :
( ~ r1(X40,X54)
| ( ( ~ p38(X54)
| p37(X54) )
& ( p38(X54)
| ~ p37(X54) ) ) ) )
& ! [X55] :
( ~ r1(X39,X55)
| ( ( ~ p37(X55)
| p36(X55) )
& ( p37(X55)
| ~ p36(X55) ) ) ) )
| ~ sP3(X38) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X36] :
( ? [X37] :
( r1(X36,X37)
& ? [X38] :
( r1(X37,X38)
& sP3(X38)
& ! [X56] :
( ~ r1(X38,X56)
| ( ( ~ p36(X56)
| p35(X56) )
& ( p36(X56)
| ~ p35(X56) ) ) ) )
& ! [X57] :
( ~ r1(X37,X57)
| ( ( ~ p35(X57)
| p34(X57) )
& ( p35(X57)
| ~ p34(X57) ) ) ) )
| ~ sP4(X36) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X34] :
( ? [X35] :
( r1(X34,X35)
& ? [X36] :
( r1(X35,X36)
& sP4(X36)
& ! [X58] :
( ~ r1(X36,X58)
| ( ( ~ p34(X58)
| p33(X58) )
& ( p34(X58)
| ~ p33(X58) ) ) ) )
& ! [X59] :
( ~ r1(X35,X59)
| ( ( ~ p33(X59)
| p32(X59) )
& ( p33(X59)
| ~ p32(X59) ) ) ) )
| ~ sP5(X34) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f17,definition,
! [X32] :
( ? [X33] :
( r1(X32,X33)
& ? [X34] :
( r1(X33,X34)
& sP5(X34)
& ! [X60] :
( ~ r1(X34,X60)
| ( ( ~ p32(X60)
| p31(X60) )
& ( p32(X60)
| ~ p31(X60) ) ) ) )
& ! [X61] :
( ~ r1(X33,X61)
| ( ( ~ p31(X61)
| p30(X61) )
& ( p31(X61)
| ~ p30(X61) ) ) ) )
| ~ sP6(X32) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f18,definition,
! [X30] :
( ? [X31] :
( r1(X30,X31)
& ? [X32] :
( r1(X31,X32)
& sP6(X32)
& ! [X62] :
( ~ r1(X32,X62)
| ( ( ~ p30(X62)
| p29(X62) )
& ( p30(X62)
| ~ p29(X62) ) ) ) )
& ! [X63] :
( ~ r1(X31,X63)
| ( ( ~ p29(X63)
| p28(X63) )
& ( p29(X63)
| ~ p28(X63) ) ) ) )
| ~ sP7(X30) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f19,definition,
! [X28] :
( ? [X29] :
( r1(X28,X29)
& ? [X30] :
( r1(X29,X30)
& sP7(X30)
& ! [X64] :
( ~ r1(X30,X64)
| ( ( ~ p28(X64)
| p27(X64) )
& ( p28(X64)
| ~ p27(X64) ) ) ) )
& ! [X65] :
( ~ r1(X29,X65)
| ( ( ~ p27(X65)
| p26(X65) )
& ( p27(X65)
| ~ p26(X65) ) ) ) )
| ~ sP8(X28) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f20,definition,
! [X26] :
( ? [X27] :
( r1(X26,X27)
& ? [X28] :
( r1(X27,X28)
& sP8(X28)
& ! [X66] :
( ~ r1(X28,X66)
| ( ( ~ p26(X66)
| p25(X66) )
& ( p26(X66)
| ~ p25(X66) ) ) ) )
& ! [X67] :
( ~ r1(X27,X67)
| ( ( ~ p25(X67)
| p24(X67) )
& ( p25(X67)
| ~ p24(X67) ) ) ) )
| ~ sP9(X26) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f21,definition,
! [X24] :
( ? [X25] :
( r1(X24,X25)
& ? [X26] :
( r1(X25,X26)
& sP9(X26)
& ! [X68] :
( ~ r1(X26,X68)
| ( ( ~ p24(X68)
| p23(X68) )
& ( p24(X68)
| ~ p23(X68) ) ) ) )
& ! [X69] :
( ~ r1(X25,X69)
| ( ( ~ p23(X69)
| p22(X69) )
& ( p23(X69)
| ~ p22(X69) ) ) ) )
| ~ sP10(X24) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f22,definition,
! [X22] :
( ? [X23] :
( r1(X22,X23)
& ? [X24] :
( r1(X23,X24)
& sP10(X24)
& ! [X70] :
( ~ r1(X24,X70)
| ( ( ~ p22(X70)
| p21(X70) )
& ( p22(X70)
| ~ p21(X70) ) ) ) )
& ! [X71] :
( ~ r1(X23,X71)
| ( ( ~ p21(X71)
| p20(X71) )
& ( p21(X71)
| ~ p20(X71) ) ) ) )
| ~ sP11(X22) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f23,definition,
! [X20] :
( ? [X21] :
( r1(X20,X21)
& ? [X22] :
( r1(X21,X22)
& sP11(X22)
& ! [X72] :
( ~ r1(X22,X72)
| ( ( ~ p20(X72)
| p19(X72) )
& ( p20(X72)
| ~ p19(X72) ) ) ) )
& ! [X73] :
( ~ r1(X21,X73)
| ( ( ~ p19(X73)
| p18(X73) )
& ( p19(X73)
| ~ p18(X73) ) ) ) )
| ~ sP12(X20) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f24,definition,
! [X18] :
( ? [X19] :
( r1(X18,X19)
& ? [X20] :
( r1(X19,X20)
& sP12(X20)
& ! [X74] :
( ~ r1(X20,X74)
| ( ( ~ p18(X74)
| p17(X74) )
& ( p18(X74)
| ~ p17(X74) ) ) ) )
& ! [X75] :
( ~ r1(X19,X75)
| ( ( ~ p17(X75)
| p16(X75) )
& ( p17(X75)
| ~ p16(X75) ) ) ) )
| ~ sP13(X18) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f25,definition,
! [X16] :
( ? [X17] :
( r1(X16,X17)
& ? [X18] :
( r1(X17,X18)
& sP13(X18)
& ! [X76] :
( ~ r1(X18,X76)
| ( ( ~ p16(X76)
| p15(X76) )
& ( p16(X76)
| ~ p15(X76) ) ) ) )
& ! [X77] :
( ~ r1(X17,X77)
| ( ( ~ p15(X77)
| p14(X77) )
& ( p15(X77)
| ~ p14(X77) ) ) ) )
| ~ sP14(X16) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f26,definition,
! [X14] :
( ? [X15] :
( r1(X14,X15)
& ? [X16] :
( r1(X15,X16)
& sP14(X16)
& ! [X78] :
( ~ r1(X16,X78)
| ( ( ~ p14(X78)
| p13(X78) )
& ( p14(X78)
| ~ p13(X78) ) ) ) )
& ! [X79] :
( ~ r1(X15,X79)
| ( ( ~ p13(X79)
| p12(X79) )
& ( p13(X79)
| ~ p12(X79) ) ) ) )
| ~ sP15(X14) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f27,definition,
! [X12] :
( ? [X13] :
( r1(X12,X13)
& ? [X14] :
( r1(X13,X14)
& sP15(X14)
& ! [X80] :
( ~ r1(X14,X80)
| ( ( ~ p12(X80)
| p11(X80) )
& ( p12(X80)
| ~ p11(X80) ) ) ) )
& ! [X81] :
( ~ r1(X13,X81)
| ( ( ~ p11(X81)
| p10(X81) )
& ( p11(X81)
| ~ p10(X81) ) ) ) )
| ~ sP16(X12) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f28,definition,
! [X10] :
( ? [X11] :
( r1(X10,X11)
& ? [X12] :
( r1(X11,X12)
& sP16(X12)
& ! [X82] :
( ~ r1(X12,X82)
| ( ( ~ p10(X82)
| p9(X82) )
& ( p10(X82)
| ~ p9(X82) ) ) ) )
& ! [X83] :
( ~ r1(X11,X83)
| ( ( ~ p9(X83)
| p8(X83) )
& ( p9(X83)
| ~ p8(X83) ) ) ) )
| ~ sP17(X10) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f29,definition,
! [X8] :
( ? [X9] :
( r1(X8,X9)
& ? [X10] :
( r1(X9,X10)
& sP17(X10)
& ! [X84] :
( ~ r1(X10,X84)
| ( ( ~ p8(X84)
| p7(X84) )
& ( p8(X84)
| ~ p7(X84) ) ) ) )
& ! [X85] :
( ~ r1(X9,X85)
| ( ( ~ p7(X85)
| p6(X85) )
& ( p7(X85)
| ~ p6(X85) ) ) ) )
| ~ sP18(X8) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f30,definition,
! [X6] :
( ? [X7] :
( r1(X6,X7)
& ? [X8] :
( r1(X7,X8)
& sP18(X8)
& ! [X86] :
( ~ r1(X8,X86)
| ( ( ~ p6(X86)
| p5(X86) )
& ( p6(X86)
| ~ p5(X86) ) ) ) )
& ! [X87] :
( ~ r1(X7,X87)
| ( ( ~ p5(X87)
| p4(X87) )
& ( p5(X87)
| ~ p4(X87) ) ) ) )
| ~ sP19(X6) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f31,definition,
! [X4] :
( ? [X92] :
( r1(X4,X92)
& ( p43(X92)
| p44(X92) )
& ( ~ p44(X92)
| ~ p43(X92) )
& ( p42(X92)
| p43(X92) )
& ( ~ p43(X92)
| ~ p42(X92) )
& ( p41(X92)
| p42(X92) )
& ( ~ p42(X92)
| ~ p41(X92) )
& ( p40(X92)
| p41(X92) )
& ( ~ p41(X92)
| ~ p40(X92) )
& ( p39(X92)
| p40(X92) )
& ( ~ p40(X92)
| ~ p39(X92) )
& ( p38(X92)
| p39(X92) )
& ( ~ p39(X92)
| ~ p38(X92) )
& ( p37(X92)
| p38(X92) )
& ( ~ p38(X92)
| ~ p37(X92) )
& ( p36(X92)
| p37(X92) )
& ( ~ p37(X92)
| ~ p36(X92) )
& ( p35(X92)
| p36(X92) )
& ( ~ p36(X92)
| ~ p35(X92) )
& ( p34(X92)
| p35(X92) )
& ( ~ p35(X92)
| ~ p34(X92) )
& ( p33(X92)
| p34(X92) )
& ( ~ p34(X92)
| ~ p33(X92) )
& ( p32(X92)
| p33(X92) )
& ( ~ p33(X92)
| ~ p32(X92) )
& ( p31(X92)
| p32(X92) )
& ( ~ p32(X92)
| ~ p31(X92) )
& ( p30(X92)
| p31(X92) )
& ( ~ p31(X92)
| ~ p30(X92) )
& ( p29(X92)
| p30(X92) )
& ( ~ p30(X92)
| ~ p29(X92) )
& ( p28(X92)
| p29(X92) )
& ( ~ p29(X92)
| ~ p28(X92) )
& ( p27(X92)
| p28(X92) )
& ( ~ p28(X92)
| ~ p27(X92) )
& ( p26(X92)
| p27(X92) )
& ( ~ p27(X92)
| ~ p26(X92) )
& ( p25(X92)
| p26(X92) )
& ( ~ p26(X92)
| ~ p25(X92) )
& ( p24(X92)
| p25(X92) )
& ( ~ p25(X92)
| ~ p24(X92) )
& ( p23(X92)
| p24(X92) )
& ( ~ p24(X92)
| ~ p23(X92) )
& ( p22(X92)
| p23(X92) )
& ( ~ p23(X92)
| ~ p22(X92) )
& ( p21(X92)
| p22(X92) )
& ( ~ p22(X92)
| ~ p21(X92) )
& ( p20(X92)
| p21(X92) )
& ( ~ p21(X92)
| ~ p20(X92) )
& ( p19(X92)
| p20(X92) )
& ( ~ p20(X92)
| ~ p19(X92) )
& ( p18(X92)
| p19(X92) )
& ( ~ p19(X92)
| ~ p18(X92) )
& ( p17(X92)
| p18(X92) )
& ( ~ p18(X92)
| ~ p17(X92) )
& ( p16(X92)
| p17(X92) )
& ( ~ p17(X92)
| ~ p16(X92) )
& ( p15(X92)
| p16(X92) )
& ( ~ p16(X92)
| ~ p15(X92) )
& ( p14(X92)
| p15(X92) )
& ( ~ p15(X92)
| ~ p14(X92) )
& ( p13(X92)
| p14(X92) )
& ( ~ p14(X92)
| ~ p13(X92) )
& ( p12(X92)
| p13(X92) )
& ( ~ p13(X92)
| ~ p12(X92) )
& ( p11(X92)
| p12(X92) )
& ( ~ p12(X92)
| ~ p11(X92) )
& ( p10(X92)
| p11(X92) )
& ( ~ p11(X92)
| ~ p10(X92) )
& ( p9(X92)
| p10(X92) )
& ( ~ p10(X92)
| ~ p9(X92) )
& ( p8(X92)
| p9(X92) )
& ( ~ p9(X92)
| ~ p8(X92) )
& ( p7(X92)
| p8(X92) )
& ( ~ p8(X92)
| ~ p7(X92) )
& ( p6(X92)
| p7(X92) )
& ( ~ p7(X92)
| ~ p6(X92) )
& ( p5(X92)
| p6(X92) )
& ( ~ p6(X92)
| ~ p5(X92) )
& ( p4(X92)
| p5(X92) )
& ( ~ p5(X92)
| ~ p4(X92) )
& ( p3(X92)
| p4(X92) )
& ( ~ p4(X92)
| ~ p3(X92) )
& ( p2(X92)
| p3(X92) )
& ( ~ p3(X92)
| ~ p2(X92) )
& ( p1(X92)
| p2(X92) )
& ( ~ p2(X92)
| ~ p1(X92) ) )
| ~ sP20(X4) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f32,definition,
! [X4] :
( ? [X5] :
( r1(X4,X5)
& ? [X6] :
( r1(X5,X6)
& sP19(X6)
& ! [X88] :
( ~ r1(X6,X88)
| ( ( ~ p4(X88)
| p3(X88) )
& ( p4(X88)
| ~ p3(X88) ) ) ) )
& ! [X89] :
( ~ r1(X5,X89)
| ( ( ~ p3(X89)
| p2(X89) )
& ( p3(X89)
| ~ p2(X89) ) ) ) )
| ~ sP21(X4) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f33,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& p45(X1)
& ? [X2] :
( r1(X1,X2)
& p1(X2) ) )
& ? [X3] :
( r1(X0,X3)
& ! [X4] :
( ~ r1(X3,X4)
| ( sP21(X4)
& ! [X90] :
( ~ r1(X4,X90)
| ( ( ~ p2(X90)
| p1(X90) )
& ( p2(X90)
| ~ p1(X90) ) ) )
& ? [X91] :
( r1(X4,X91)
& ~ p45(X91) )
& sP20(X4) ) ) ) ),
inference(definition_folding,[],[f10,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11]) ).
fof(f37,plain,
! [X4] :
( ? [X92] :
( r1(X4,X92)
& ( p43(X92)
| p44(X92) )
& ( ~ p44(X92)
| ~ p43(X92) )
& ( p42(X92)
| p43(X92) )
& ( ~ p43(X92)
| ~ p42(X92) )
& ( p41(X92)
| p42(X92) )
& ( ~ p42(X92)
| ~ p41(X92) )
& ( p40(X92)
| p41(X92) )
& ( ~ p41(X92)
| ~ p40(X92) )
& ( p39(X92)
| p40(X92) )
& ( ~ p40(X92)
| ~ p39(X92) )
& ( p38(X92)
| p39(X92) )
& ( ~ p39(X92)
| ~ p38(X92) )
& ( p37(X92)
| p38(X92) )
& ( ~ p38(X92)
| ~ p37(X92) )
& ( p36(X92)
| p37(X92) )
& ( ~ p37(X92)
| ~ p36(X92) )
& ( p35(X92)
| p36(X92) )
& ( ~ p36(X92)
| ~ p35(X92) )
& ( p34(X92)
| p35(X92) )
& ( ~ p35(X92)
| ~ p34(X92) )
& ( p33(X92)
| p34(X92) )
& ( ~ p34(X92)
| ~ p33(X92) )
& ( p32(X92)
| p33(X92) )
& ( ~ p33(X92)
| ~ p32(X92) )
& ( p31(X92)
| p32(X92) )
& ( ~ p32(X92)
| ~ p31(X92) )
& ( p30(X92)
| p31(X92) )
& ( ~ p31(X92)
| ~ p30(X92) )
& ( p29(X92)
| p30(X92) )
& ( ~ p30(X92)
| ~ p29(X92) )
& ( p28(X92)
| p29(X92) )
& ( ~ p29(X92)
| ~ p28(X92) )
& ( p27(X92)
| p28(X92) )
& ( ~ p28(X92)
| ~ p27(X92) )
& ( p26(X92)
| p27(X92) )
& ( ~ p27(X92)
| ~ p26(X92) )
& ( p25(X92)
| p26(X92) )
& ( ~ p26(X92)
| ~ p25(X92) )
& ( p24(X92)
| p25(X92) )
& ( ~ p25(X92)
| ~ p24(X92) )
& ( p23(X92)
| p24(X92) )
& ( ~ p24(X92)
| ~ p23(X92) )
& ( p22(X92)
| p23(X92) )
& ( ~ p23(X92)
| ~ p22(X92) )
& ( p21(X92)
| p22(X92) )
& ( ~ p22(X92)
| ~ p21(X92) )
& ( p20(X92)
| p21(X92) )
& ( ~ p21(X92)
| ~ p20(X92) )
& ( p19(X92)
| p20(X92) )
& ( ~ p20(X92)
| ~ p19(X92) )
& ( p18(X92)
| p19(X92) )
& ( ~ p19(X92)
| ~ p18(X92) )
& ( p17(X92)
| p18(X92) )
& ( ~ p18(X92)
| ~ p17(X92) )
& ( p16(X92)
| p17(X92) )
& ( ~ p17(X92)
| ~ p16(X92) )
& ( p15(X92)
| p16(X92) )
& ( ~ p16(X92)
| ~ p15(X92) )
& ( p14(X92)
| p15(X92) )
& ( ~ p15(X92)
| ~ p14(X92) )
& ( p13(X92)
| p14(X92) )
& ( ~ p14(X92)
| ~ p13(X92) )
& ( p12(X92)
| p13(X92) )
& ( ~ p13(X92)
| ~ p12(X92) )
& ( p11(X92)
| p12(X92) )
& ( ~ p12(X92)
| ~ p11(X92) )
& ( p10(X92)
| p11(X92) )
& ( ~ p11(X92)
| ~ p10(X92) )
& ( p9(X92)
| p10(X92) )
& ( ~ p10(X92)
| ~ p9(X92) )
& ( p8(X92)
| p9(X92) )
& ( ~ p9(X92)
| ~ p8(X92) )
& ( p7(X92)
| p8(X92) )
& ( ~ p8(X92)
| ~ p7(X92) )
& ( p6(X92)
| p7(X92) )
& ( ~ p7(X92)
| ~ p6(X92) )
& ( p5(X92)
| p6(X92) )
& ( ~ p6(X92)
| ~ p5(X92) )
& ( p4(X92)
| p5(X92) )
& ( ~ p5(X92)
| ~ p4(X92) )
& ( p3(X92)
| p4(X92) )
& ( ~ p4(X92)
| ~ p3(X92) )
& ( p2(X92)
| p3(X92) )
& ( ~ p3(X92)
| ~ p2(X92) )
& ( p1(X92)
| p2(X92) )
& ( ~ p2(X92)
| ~ p1(X92) ) )
| ~ sP20(X4) ),
inference(nnf_transformation,[],[f31]) ).
fof(f38,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ( p43(X1)
| p44(X1) )
& ( ~ p44(X1)
| ~ p43(X1) )
& ( p42(X1)
| p43(X1) )
& ( ~ p43(X1)
| ~ p42(X1) )
& ( p41(X1)
| p42(X1) )
& ( ~ p42(X1)
| ~ p41(X1) )
& ( p40(X1)
| p41(X1) )
& ( ~ p41(X1)
| ~ p40(X1) )
& ( p39(X1)
| p40(X1) )
& ( ~ p40(X1)
| ~ p39(X1) )
& ( p38(X1)
| p39(X1) )
& ( ~ p39(X1)
| ~ p38(X1) )
& ( p37(X1)
| p38(X1) )
& ( ~ p38(X1)
| ~ p37(X1) )
& ( p36(X1)
| p37(X1) )
& ( ~ p37(X1)
| ~ p36(X1) )
& ( p35(X1)
| p36(X1) )
& ( ~ p36(X1)
| ~ p35(X1) )
& ( p34(X1)
| p35(X1) )
& ( ~ p35(X1)
| ~ p34(X1) )
& ( p33(X1)
| p34(X1) )
& ( ~ p34(X1)
| ~ p33(X1) )
& ( p32(X1)
| p33(X1) )
& ( ~ p33(X1)
| ~ p32(X1) )
& ( p31(X1)
| p32(X1) )
& ( ~ p32(X1)
| ~ p31(X1) )
& ( p30(X1)
| p31(X1) )
& ( ~ p31(X1)
| ~ p30(X1) )
& ( p29(X1)
| p30(X1) )
& ( ~ p30(X1)
| ~ p29(X1) )
& ( p28(X1)
| p29(X1) )
& ( ~ p29(X1)
| ~ p28(X1) )
& ( p27(X1)
| p28(X1) )
& ( ~ p28(X1)
| ~ p27(X1) )
& ( p26(X1)
| p27(X1) )
& ( ~ p27(X1)
| ~ p26(X1) )
& ( p25(X1)
| p26(X1) )
& ( ~ p26(X1)
| ~ p25(X1) )
& ( p24(X1)
| p25(X1) )
& ( ~ p25(X1)
| ~ p24(X1) )
& ( p23(X1)
| p24(X1) )
& ( ~ p24(X1)
| ~ p23(X1) )
& ( p22(X1)
| p23(X1) )
& ( ~ p23(X1)
| ~ p22(X1) )
& ( p21(X1)
| p22(X1) )
& ( ~ p22(X1)
| ~ p21(X1) )
& ( p20(X1)
| p21(X1) )
& ( ~ p21(X1)
| ~ p20(X1) )
& ( p19(X1)
| p20(X1) )
& ( ~ p20(X1)
| ~ p19(X1) )
& ( p18(X1)
| p19(X1) )
& ( ~ p19(X1)
| ~ p18(X1) )
& ( p17(X1)
| p18(X1) )
& ( ~ p18(X1)
| ~ p17(X1) )
& ( p16(X1)
| p17(X1) )
& ( ~ p17(X1)
| ~ p16(X1) )
& ( p15(X1)
| p16(X1) )
& ( ~ p16(X1)
| ~ p15(X1) )
& ( p14(X1)
| p15(X1) )
& ( ~ p15(X1)
| ~ p14(X1) )
& ( p13(X1)
| p14(X1) )
& ( ~ p14(X1)
| ~ p13(X1) )
& ( p12(X1)
| p13(X1) )
& ( ~ p13(X1)
| ~ p12(X1) )
& ( p11(X1)
| p12(X1) )
& ( ~ p12(X1)
| ~ p11(X1) )
& ( p10(X1)
| p11(X1) )
& ( ~ p11(X1)
| ~ p10(X1) )
& ( p9(X1)
| p10(X1) )
& ( ~ p10(X1)
| ~ p9(X1) )
& ( p8(X1)
| p9(X1) )
& ( ~ p9(X1)
| ~ p8(X1) )
& ( p7(X1)
| p8(X1) )
& ( ~ p8(X1)
| ~ p7(X1) )
& ( p6(X1)
| p7(X1) )
& ( ~ p7(X1)
| ~ p6(X1) )
& ( p5(X1)
| p6(X1) )
& ( ~ p6(X1)
| ~ p5(X1) )
& ( p4(X1)
| p5(X1) )
& ( ~ p5(X1)
| ~ p4(X1) )
& ( p3(X1)
| p4(X1) )
& ( ~ p4(X1)
| ~ p3(X1) )
& ( p2(X1)
| p3(X1) )
& ( ~ p3(X1)
| ~ p2(X1) )
& ( p1(X1)
| p2(X1) )
& ( ~ p2(X1)
| ~ p1(X1) ) )
| ~ sP20(X0) ),
inference(rectify,[],[f37]) ).
fof(f39,plain,
! [X0] :
( ( r1(X0,sK24(X0))
& ( p43(sK24(X0))
| p44(sK24(X0)) )
& ( ~ p44(sK24(X0))
| ~ p43(sK24(X0)) )
& ( p42(sK24(X0))
| p43(sK24(X0)) )
& ( ~ p43(sK24(X0))
| ~ p42(sK24(X0)) )
& ( p41(sK24(X0))
| p42(sK24(X0)) )
& ( ~ p42(sK24(X0))
| ~ p41(sK24(X0)) )
& ( p40(sK24(X0))
| p41(sK24(X0)) )
& ( ~ p41(sK24(X0))
| ~ p40(sK24(X0)) )
& ( p39(sK24(X0))
| p40(sK24(X0)) )
& ( ~ p40(sK24(X0))
| ~ p39(sK24(X0)) )
& ( p38(sK24(X0))
| p39(sK24(X0)) )
& ( ~ p39(sK24(X0))
| ~ p38(sK24(X0)) )
& ( p37(sK24(X0))
| p38(sK24(X0)) )
& ( ~ p38(sK24(X0))
| ~ p37(sK24(X0)) )
& ( p36(sK24(X0))
| p37(sK24(X0)) )
& ( ~ p37(sK24(X0))
| ~ p36(sK24(X0)) )
& ( p35(sK24(X0))
| p36(sK24(X0)) )
& ( ~ p36(sK24(X0))
| ~ p35(sK24(X0)) )
& ( p34(sK24(X0))
| p35(sK24(X0)) )
& ( ~ p35(sK24(X0))
| ~ p34(sK24(X0)) )
& ( p33(sK24(X0))
| p34(sK24(X0)) )
& ( ~ p34(sK24(X0))
| ~ p33(sK24(X0)) )
& ( p32(sK24(X0))
| p33(sK24(X0)) )
& ( ~ p33(sK24(X0))
| ~ p32(sK24(X0)) )
& ( p31(sK24(X0))
| p32(sK24(X0)) )
& ( ~ p32(sK24(X0))
| ~ p31(sK24(X0)) )
& ( p30(sK24(X0))
| p31(sK24(X0)) )
& ( ~ p31(sK24(X0))
| ~ p30(sK24(X0)) )
& ( p29(sK24(X0))
| p30(sK24(X0)) )
& ( ~ p30(sK24(X0))
| ~ p29(sK24(X0)) )
& ( p28(sK24(X0))
| p29(sK24(X0)) )
& ( ~ p29(sK24(X0))
| ~ p28(sK24(X0)) )
& ( p27(sK24(X0))
| p28(sK24(X0)) )
& ( ~ p28(sK24(X0))
| ~ p27(sK24(X0)) )
& ( p26(sK24(X0))
| p27(sK24(X0)) )
& ( ~ p27(sK24(X0))
| ~ p26(sK24(X0)) )
& ( p25(sK24(X0))
| p26(sK24(X0)) )
& ( ~ p26(sK24(X0))
| ~ p25(sK24(X0)) )
& ( p24(sK24(X0))
| p25(sK24(X0)) )
& ( ~ p25(sK24(X0))
| ~ p24(sK24(X0)) )
& ( p23(sK24(X0))
| p24(sK24(X0)) )
& ( ~ p24(sK24(X0))
| ~ p23(sK24(X0)) )
& ( p22(sK24(X0))
| p23(sK24(X0)) )
& ( ~ p23(sK24(X0))
| ~ p22(sK24(X0)) )
& ( p21(sK24(X0))
| p22(sK24(X0)) )
& ( ~ p22(sK24(X0))
| ~ p21(sK24(X0)) )
& ( p20(sK24(X0))
| p21(sK24(X0)) )
& ( ~ p21(sK24(X0))
| ~ p20(sK24(X0)) )
& ( p19(sK24(X0))
| p20(sK24(X0)) )
& ( ~ p20(sK24(X0))
| ~ p19(sK24(X0)) )
& ( p18(sK24(X0))
| p19(sK24(X0)) )
& ( ~ p19(sK24(X0))
| ~ p18(sK24(X0)) )
& ( p17(sK24(X0))
| p18(sK24(X0)) )
& ( ~ p18(sK24(X0))
| ~ p17(sK24(X0)) )
& ( p16(sK24(X0))
| p17(sK24(X0)) )
& ( ~ p17(sK24(X0))
| ~ p16(sK24(X0)) )
& ( p15(sK24(X0))
| p16(sK24(X0)) )
& ( ~ p16(sK24(X0))
| ~ p15(sK24(X0)) )
& ( p14(sK24(X0))
| p15(sK24(X0)) )
& ( ~ p15(sK24(X0))
| ~ p14(sK24(X0)) )
& ( p13(sK24(X0))
| p14(sK24(X0)) )
& ( ~ p14(sK24(X0))
| ~ p13(sK24(X0)) )
& ( p12(sK24(X0))
| p13(sK24(X0)) )
& ( ~ p13(sK24(X0))
| ~ p12(sK24(X0)) )
& ( p11(sK24(X0))
| p12(sK24(X0)) )
& ( ~ p12(sK24(X0))
| ~ p11(sK24(X0)) )
& ( p10(sK24(X0))
| p11(sK24(X0)) )
& ( ~ p11(sK24(X0))
| ~ p10(sK24(X0)) )
& ( p9(sK24(X0))
| p10(sK24(X0)) )
& ( ~ p10(sK24(X0))
| ~ p9(sK24(X0)) )
& ( p8(sK24(X0))
| p9(sK24(X0)) )
& ( ~ p9(sK24(X0))
| ~ p8(sK24(X0)) )
& ( p7(sK24(X0))
| p8(sK24(X0)) )
& ( ~ p8(sK24(X0))
| ~ p7(sK24(X0)) )
& ( p6(sK24(X0))
| p7(sK24(X0)) )
& ( ~ p7(sK24(X0))
| ~ p6(sK24(X0)) )
& ( p5(sK24(X0))
| p6(sK24(X0)) )
& ( ~ p6(sK24(X0))
| ~ p5(sK24(X0)) )
& ( p4(sK24(X0))
| p5(sK24(X0)) )
& ( ~ p5(sK24(X0))
| ~ p4(sK24(X0)) )
& ( p3(sK24(X0))
| p4(sK24(X0)) )
& ( ~ p4(sK24(X0))
| ~ p3(sK24(X0)) )
& ( p2(sK24(X0))
| p3(sK24(X0)) )
& ( ~ p3(sK24(X0))
| ~ p2(sK24(X0)) )
& ( p1(sK24(X0))
| p2(sK24(X0)) )
& ( ~ p2(sK24(X0))
| ~ p1(sK24(X0)) ) )
| ~ sP20(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X1,sK24(X0))],[f38]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( r1(X0,X1)
& p45(X1)
& ? [X2] :
( r1(X1,X2)
& p1(X2) ) )
& ? [X3] :
( r1(X0,X3)
& ! [X4] :
( ~ r1(X3,X4)
| ( sP21(X4)
& ! [X5] :
( ~ r1(X4,X5)
| ( ( ~ p2(X5)
| p1(X5) )
& ( p2(X5)
| ~ p1(X5) ) ) )
& ? [X6] :
( r1(X4,X6)
& ~ p45(X6) )
& sP20(X4) ) ) ) ),
inference(rectify,[],[f33]) ).
fof(f101,plain,
( r1(sK66,sK67)
& p45(sK67)
& r1(sK67,sK68)
& p1(sK68)
& r1(sK66,sK69)
& ! [X4] :
( ~ r1(sK69,X4)
| ( sP21(X4)
& ! [X5] :
( ~ r1(X4,X5)
| ( ( ~ p2(X5)
| p1(X5) )
& ( p2(X5)
| ~ p1(X5) ) ) )
& r1(X4,sK70(X4))
& ~ p45(sK70(X4))
& sP20(X4) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK66,sK67,sK68,sK69,sK70]),skolemize(X0,sK66),skolemize(X1,sK67),skolemize(X2,sK68),skolemize(X3,sK69),skolemize(X6,sK70(X4))],[f100]) ).
fof(f102,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f111,plain,
! [X0] :
( ~ p2(sK24(X0))
| ~ p1(sK24(X0))
| ~ sP20(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f112,plain,
! [X0] :
( p2(sK24(X0))
| p1(sK24(X0))
| ~ sP20(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f197,plain,
! [X0] :
( r1(X0,sK24(X0))
| ~ sP20(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f338,plain,
! [X4] :
( sP20(X4)
| ~ r1(sK69,X4) ),
inference(cnf_transformation,[],[f101]) ).
fof(f341,plain,
! [X4,X5] :
( p2(X5)
| ~ r1(X4,X5)
| ~ r1(sK69,X4)
| ~ p1(X5) ),
inference(cnf_transformation,[],[f101]) ).
fof(f342,plain,
! [X4,X5] :
( p1(X5)
| ~ r1(X4,X5)
| ~ p2(X5)
| ~ r1(sK69,X4) ),
inference(cnf_transformation,[],[f101]) ).
fof(f349,plain,
! [X0,X1] :
( ~ p1(sK24(X0))
| ~ sP20(X0)
| ~ r1(X1,sK24(X0))
| ~ r1(sK69,X1)
| ~ p1(sK24(X0)) ),
inference(resolution,[],[f111,f341]) ).
fof(f350,plain,
! [X0,X1] :
( ~ p1(sK24(X0))
| ~ sP20(X0)
| ~ r1(X1,sK24(X0))
| ~ r1(sK69,X1) ),
inference(duplicate_literal_removal,[],[f349]) ).
fof(f351,plain,
! [X2,X0,X1] :
( ~ sP20(X0)
| ~ r1(X1,sK24(X0))
| ~ r1(sK69,X1)
| ~ r1(X2,sK24(X0))
| ~ p2(sK24(X0))
| ~ r1(sK69,X2) ),
inference(resolution,[],[f350,f342]) ).
fof(f354,plain,
! [X2,X0,X1] :
( ~ p2(sK24(X1))
| ~ r1(sK69,X0)
| ~ r1(X2,sK24(X1))
| ~ r1(X0,sK24(X1))
| ~ r1(sK69,X2)
| ~ r1(sK69,X1) ),
inference(resolution,[],[f351,f338]) ).
fof(f355,plain,
! [X2,X0,X1] :
( ~ r1(sK69,X0)
| ~ r1(X1,sK24(X2))
| ~ r1(X0,sK24(X2))
| ~ r1(sK69,X1)
| ~ r1(sK69,X2)
| p1(sK24(X2))
| ~ sP20(X2) ),
inference(resolution,[],[f354,f112]) ).
fof(f357,plain,
! [X2,X0,X1] :
( ~ r1(sK69,X0)
| ~ r1(X1,sK24(X2))
| ~ r1(X0,sK24(X2))
| ~ r1(sK69,X1)
| ~ r1(sK69,X2)
| ~ sP20(X2) ),
inference(forward_subsumption_resolution,[],[f355,f350]) ).
fof(f358,plain,
! [X2,X0,X1] :
( ~ r1(X1,sK24(X2))
| ~ r1(sK69,X0)
| ~ r1(X0,sK24(X2))
| ~ r1(sK69,X1)
| ~ r1(sK69,X2) ),
inference(forward_subsumption_resolution,[],[f357,f338]) ).
fof(f364,plain,
! [X0] :
( ~ r1(sK69,sK24(X0))
| ~ r1(sK24(X0),sK24(X0))
| ~ r1(sK69,sK69)
| ~ r1(sK69,X0) ),
inference(factoring,[],[f358]) ).
fof(f368,plain,
! [X0] :
( ~ r1(sK69,sK24(X0))
| ~ r1(sK69,sK69)
| ~ r1(sK69,X0) ),
inference(forward_subsumption_resolution,[],[f364,f102]) ).
fof(f371,plain,
! [X0] :
( ~ r1(sK69,sK24(X0))
| ~ r1(sK69,X0) ),
inference(forward_subsumption_resolution,[],[f368,f102]) ).
fof(f372,plain,
( ~ r1(sK69,sK69)
| ~ sP20(sK69) ),
inference(resolution,[],[f371,f197]) ).
fof(f374,plain,
~ r1(sK69,sK69),
inference(forward_subsumption_resolution,[],[f372,f338]) ).
fof(f375,plain,
$false,
inference(forward_subsumption_resolution,[],[f374,f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL686+1.015 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 16:38:32 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.93 % (4192855)Detected formulas, will run a generic FOF schedule.
% 0.54/0.93 % (4192865)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1837859589:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.54/0.93 % (4192863)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4275611100:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.54/0.93 % (4192860)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3865960529:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.54/0.93 % (4192861)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2761821217:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.54/0.93 % (4192864)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2063673971:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.54/0.93 % (4192862)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2095241562:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.54/0.93 % (4192866)dis-21_1_sil=8000:lcm=predicate:random_seed=842738652:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.54/0.93 % (4192865)First to succeed.
% 0.54/0.93 % (4192864)Also succeeded, but the first one will report.
% 0.54/0.93 % (4192865)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4192855"
% 0.54/0.93 % (4192863)Also succeeded, but the first one will report.
% 0.54/0.93 % (4192866)Instruction limit reached!
% 0.54/0.93 % (4192866)------------------------------
% 0.54/0.93 % (4192866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.54/0.93 % (4192866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.93 % (4192866)CaDiCaL version: 2.1.3
% 0.54/0.93 % (4192866)Termination reason: Instruction limit
% 0.54/0.93 % (4192866)Termination phase: Saturation
% 0.54/0.93 % (4192866)Time elapsed: 0.064 s
% 0.54/0.93 % (4192866)Peak memory usage: 89 MB
% 0.54/0.93 % (4192866)Instructions burned: 130 (million)
% 0.54/0.93 % (4192865)Refutation found. Thanks to Tanya!
% 0.54/0.93 % SZS status Theorem for theBenchmark
% 0.54/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 0.54/1.03 % (4192865)------------------------------
% 0.54/1.03 % (4192865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.54/1.03 % (4192865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/1.03 % (4192865)CaDiCaL version: 2.1.3
% 0.54/1.03 % (4192865)Termination reason: Refutation
% 0.54/1.03 % (4192865)Time elapsed: 0.012 s
% 0.54/1.03 % (4192865)Peak memory usage: 89 MB
% 0.54/1.03 % (4192865)Instructions burned: 25 (million)
% 0.54/1.03 % (4192865)------------------------------
% 0.54/1.03 % (4192865)------------------------------
% 0.54/1.03 % (4192855)Success in time 0.329 s
% 2.67/1.03 % Vampire exiting
%------------------------------------------------------------------------------