%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n006.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 12:00:18 PM UTC 2026
% Result : Theorem 0.17s 0.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 4 unt; 0 def)
% Number of atoms : 2244 ( 0 equ)
% Maximal formula atoms : 440 ( 112 avg)
% Number of connectives : 3899 (1675 ~;1313 |; 911 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 147 ( 40 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 48 ( 46 usr; 2 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 486 ( 433 !; 53 ?)
% 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)
| $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(flattening,[],[f5]) ).
fof(f9,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)
& $true )
& ! [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,[],[f6]) ).
fof(f10,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f138,plain,
! [X90,X4] :
( p1(X90)
| ~ p2(X90)
| ~ r1(X4,X90)
| ~ r1(sK1,X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f139,plain,
! [X90,X4] :
( ~ p1(X90)
| p2(X90)
| ~ r1(X4,X90)
| ~ r1(sK1,X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f224,plain,
! [X4] :
( p1(sK4(X4))
| p2(sK4(X4))
| ~ r1(sK1,X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f225,plain,
! [X4] :
( ~ p1(sK4(X4))
| ~ p2(sK4(X4))
| ~ r1(sK1,X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f229,plain,
! [X4] :
( r1(X4,sK4(X4))
| ~ r1(sK1,X4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f321,plain,
! [X0,X1] :
( ~ p2(sK4(X0))
| ~ r1(X1,sK4(X0))
| ~ r1(sK1,X1)
| ~ p2(sK4(X0))
| ~ r1(sK1,X0) ),
inference(resolution,[],[f138,f225]) ).
fof(f322,plain,
! [X0,X1] :
( ~ p2(sK4(X0))
| ~ r1(X1,sK4(X0))
| ~ r1(sK1,X1)
| ~ r1(sK1,X0) ),
inference(duplicate_literal_removal,[],[f321]) ).
fof(f324,plain,
! [X0,X1] :
( p2(sK4(X0))
| ~ r1(X1,sK4(X0))
| ~ r1(sK1,X1)
| p2(sK4(X0))
| ~ r1(sK1,X0) ),
inference(resolution,[],[f139,f224]) ).
fof(f326,plain,
! [X0,X1] :
( p2(sK4(X0))
| ~ r1(X1,sK4(X0))
| ~ r1(sK1,X1)
| ~ r1(sK1,X0) ),
inference(duplicate_literal_removal,[],[f324]) ).
fof(f327,plain,
! [X0,X1] :
( ~ r1(X1,sK4(X0))
| ~ r1(sK1,X1)
| ~ r1(sK1,X0) ),
inference(forward_subsumption_resolution,[],[f326,f322]) ).
fof(f342,plain,
! [X0] :
( ~ r1(sK1,X0)
| ~ r1(sK1,X0)
| ~ r1(sK1,X0) ),
inference(resolution,[],[f327,f229]) ).
fof(f343,plain,
! [X0] : ~ r1(sK1,X0),
inference(duplicate_literal_removal,[],[f342]) ).
fof(f556,plain,
$false,
inference(resolution,[],[f10,f343]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL686+1.015 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 % Computer : n006.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 16:38:27 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.50 % (3156051)Will run a generic schedule for satisfiability detection.
% 0.17/0.50 % (3156058)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3695901755:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.50 % (3156057)% WARNING: option uhcvi not known.
% 0.17/0.50 % (3156056)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1825181076_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.50 % (3156060)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3501512831:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.50 % (3156057)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1043619967:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.50 % (3156059)dis+10_1_sil=32000:sp=arity:random_seed=629122840:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.50 % (3156061)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=363959053:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.50 % (3156062)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2904719113:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.50 % TRYING [1]
% 0.17/0.50 % (3156059) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3156051-3156059"...
% 0.17/0.50 % TRYING [2]
% 0.17/0.50 % (3156060) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3156051-3156060"...
% 0.17/0.50 % TRYING [3]
% 0.17/0.50 % (3156061) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3156051-3156061"...
% 0.17/0.50 % (3156060)...printing done.
% 0.17/0.50 % (3156059)...printing done.
% 0.17/0.50 % (3156060)Refutation found. Thanks to Tanya!
% 0.17/0.50 % SZS status Theorem for theBenchmark
% 0.17/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50 % (3156060)------------------------------
% 0.17/0.50 % (3156060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.50 % (3156060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.50 % (3156060)CaDiCaL version: 2.1.3
% 0.17/0.50 % (3156060)Termination reason: Refutation
% 0.17/0.50 % (3156060)Time elapsed: 0.017 s
% 0.17/0.50 % (3156060)Peak memory usage: 12 MB
% 0.17/0.50 % (3156060)Instructions burned: 35 (million)
% 0.17/0.50 % (3156051)Success in time 0.058 s
% 0.17/0.50 % Vampire exiting
%------------------------------------------------------------------------------