%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL686+1.020 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:16:11 PM UTC 2026
% Result : Theorem 0.38s 0.47s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 3328 ( 0 equ)
% Maximal formula atoms : 936 ( 158 avg)
% Number of connectives : 5868 (2561 ~;2079 |;1226 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 356 ( 55 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 64 ( 62 usr; 2 prp; 0-2 aty)
% Number of functors : 64 ( 64 usr; 4 con; 0-1 aty)
% Number of variables : 563 ( 1 sgn 548 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ! [X2] :
( ~ ! [X1] :
( ~ ( ! [X2] :
( ( p1(X2)
& p2(X2) )
| ( ~ p2(X2)
& ~ p1(X2) )
| ( p2(X2)
& p3(X2) )
| ( ~ p3(X2)
& ~ p2(X2) )
| ( p3(X2)
& p4(X2) )
| ( ~ p4(X2)
& ~ p3(X2) )
| ( p4(X2)
& p5(X2) )
| ( ~ p5(X2)
& ~ p4(X2) )
| ( p5(X2)
& p6(X2) )
| ( ~ p6(X2)
& ~ p5(X2) )
| ( p6(X2)
& p7(X2) )
| ( ~ p7(X2)
& ~ p6(X2) )
| ( p7(X2)
& p8(X2) )
| ( ~ p8(X2)
& ~ p7(X2) )
| ( p8(X2)
& p9(X2) )
| ( ~ p9(X2)
& ~ p8(X2) )
| ( p9(X2)
& p10(X2) )
| ( ~ p10(X2)
& ~ p9(X2) )
| ( p10(X2)
& p11(X2) )
| ( ~ p11(X2)
& ~ p10(X2) )
| ( p11(X2)
& p12(X2) )
| ( ~ p12(X2)
& ~ p11(X2) )
| ( p12(X2)
& p13(X2) )
| ( ~ p13(X2)
& ~ p12(X2) )
| ( p13(X2)
& p14(X2) )
| ( ~ p14(X2)
& ~ p13(X2) )
| ( p14(X2)
& p15(X2) )
| ( ~ p15(X2)
& ~ p14(X2) )
| ( p15(X2)
& p16(X2) )
| ( ~ p16(X2)
& ~ p15(X2) )
| ( p16(X2)
& p17(X2) )
| ( ~ p17(X2)
& ~ p16(X2) )
| ( p17(X2)
& p18(X2) )
| ( ~ p18(X2)
& ~ p17(X2) )
| ( p18(X2)
& p19(X2) )
| ( ~ p19(X2)
& ~ p18(X2) )
| ( p19(X2)
& p20(X2) )
| ( ~ p20(X2)
& ~ p19(X2) )
| ( p20(X2)
& p21(X2) )
| ( ~ p21(X2)
& ~ p20(X2) )
| ( p21(X2)
& p22(X2) )
| ( ~ p22(X2)
& ~ p21(X2) )
| ( p22(X2)
& p23(X2) )
| ( ~ p23(X2)
& ~ p22(X2) )
| ( p23(X2)
& p24(X2) )
| ( ~ p24(X2)
& ~ p23(X2) )
| ( p24(X2)
& p25(X2) )
| ( ~ p25(X2)
& ~ p24(X2) )
| ( p25(X2)
& p26(X2) )
| ( ~ p26(X2)
& ~ p25(X2) )
| ( p26(X2)
& p27(X2) )
| ( ~ p27(X2)
& ~ p26(X2) )
| ( p27(X2)
& p28(X2) )
| ( ~ p28(X2)
& ~ p27(X2) )
| ( p28(X2)
& p29(X2) )
| ( ~ p29(X2)
& ~ p28(X2) )
| ( p29(X2)
& p30(X2) )
| ( ~ p30(X2)
& ~ p29(X2) )
| ( p30(X2)
& p31(X2) )
| ( ~ p31(X2)
& ~ p30(X2) )
| ( p31(X2)
& p32(X2) )
| ( ~ p32(X2)
& ~ p31(X2) )
| ( p32(X2)
& p33(X2) )
| ( ~ p33(X2)
& ~ p32(X2) )
| ( p33(X2)
& p34(X2) )
| ( ~ p34(X2)
& ~ p33(X2) )
| ( p34(X2)
& p35(X2) )
| ( ~ p35(X2)
& ~ p34(X2) )
| ( p35(X2)
& p36(X2) )
| ( ~ p36(X2)
& ~ p35(X2) )
| ( p36(X2)
& p37(X2) )
| ( ~ p37(X2)
& ~ p36(X2) )
| ( p37(X2)
& p38(X2) )
| ( ~ p38(X2)
& ~ p37(X2) )
| ( p38(X2)
& p39(X2) )
| ( ~ p39(X2)
& ~ p38(X2) )
| ( p39(X2)
& p40(X2) )
| ( ~ p40(X2)
& ~ p39(X2) )
| ( p40(X2)
& p41(X2) )
| ( ~ p41(X2)
& ~ p40(X2) )
| ( p41(X2)
& p42(X2) )
| ( ~ p42(X2)
& ~ p41(X2) )
| ( p42(X2)
& p43(X2) )
| ( ~ p43(X2)
& ~ p42(X2) )
| ( p43(X2)
& p44(X2) )
| ( ~ p44(X2)
& ~ p43(X2) )
| ( p44(X2)
& p45(X2) )
| ( ~ p45(X2)
& ~ p44(X2) )
| ( p45(X2)
& p46(X2) )
| ( ~ p46(X2)
& ~ p45(X2) )
| ( p46(X2)
& p47(X2) )
| ( ~ p47(X2)
& ~ p46(X2) )
| ( p47(X2)
& p48(X2) )
| ( ~ p48(X2)
& ~ p47(X2) )
| ( p48(X2)
& p49(X2) )
| ( ~ p49(X2)
& ~ p48(X2) )
| ( p49(X2)
& p50(X2) )
| ( ~ p50(X2)
& ~ p49(X2) )
| ( p50(X2)
& p51(X2) )
| ( ~ p51(X2)
& ~ p50(X2) )
| ( p51(X2)
& p52(X2) )
| ( ~ p52(X2)
& ~ p51(X2) )
| ( p52(X2)
& p53(X2) )
| ( ~ p53(X2)
& ~ p52(X2) )
| ( p53(X2)
& p54(X2) )
| ( ~ p54(X2)
& ~ p53(X2) )
| ( p54(X2)
& p55(X2) )
| ( ~ p55(X2)
& ~ p54(X2) )
| ( p55(X2)
& p56(X2) )
| ( ~ p56(X2)
& ~ p55(X2) )
| ( p56(X2)
& p57(X2) )
| ( ~ p57(X2)
& ~ p56(X2) )
| ( p57(X2)
& p58(X2) )
| ( ~ p58(X2)
& ~ p57(X2) )
| ( p58(X2)
& p59(X2) )
| ( ~ p59(X2)
& ~ p58(X2) )
| ~ r1(X1,X2) )
| ! [X2] :
( p60(X2)
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ( p1(X2)
& ~ p2(X2) )
| ( ~ p1(X2)
& p2(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p2(X1)
& ~ p3(X1) )
| ( ~ p2(X1)
& p3(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p3(X2)
& ~ p4(X2) )
| ( ~ p3(X2)
& p4(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p4(X1)
& ~ p5(X1) )
| ( ~ p4(X1)
& p5(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p5(X2)
& ~ p6(X2) )
| ( ~ p5(X2)
& p6(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p6(X1)
& ~ p7(X1) )
| ( ~ p6(X1)
& p7(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p7(X2)
& ~ p8(X2) )
| ( ~ p7(X2)
& p8(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p8(X1)
& ~ p9(X1) )
| ( ~ p8(X1)
& p9(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p9(X2)
& ~ p10(X2) )
| ( ~ p9(X2)
& p10(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p10(X1)
& ~ p11(X1) )
| ( ~ p10(X1)
& p11(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p11(X2)
& ~ p12(X2) )
| ( ~ p11(X2)
& p12(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p12(X1)
& ~ p13(X1) )
| ( ~ p12(X1)
& p13(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p13(X2)
& ~ p14(X2) )
| ( ~ p13(X2)
& p14(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p14(X1)
& ~ p15(X1) )
| ( ~ p14(X1)
& p15(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p15(X2)
& ~ p16(X2) )
| ( ~ p15(X2)
& p16(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p16(X1)
& ~ p17(X1) )
| ( ~ p16(X1)
& p17(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p17(X2)
& ~ p18(X2) )
| ( ~ p17(X2)
& p18(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p18(X1)
& ~ p19(X1) )
| ( ~ p18(X1)
& p19(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p19(X2)
& ~ p20(X2) )
| ( ~ p19(X2)
& p20(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p20(X1)
& ~ p21(X1) )
| ( ~ p20(X1)
& p21(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p21(X2)
& ~ p22(X2) )
| ( ~ p21(X2)
& p22(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p22(X1)
& ~ p23(X1) )
| ( ~ p22(X1)
& p23(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p23(X2)
& ~ p24(X2) )
| ( ~ p23(X2)
& p24(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p24(X1)
& ~ p25(X1) )
| ( ~ p24(X1)
& p25(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p25(X2)
& ~ p26(X2) )
| ( ~ p25(X2)
& p26(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p26(X1)
& ~ p27(X1) )
| ( ~ p26(X1)
& p27(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p27(X2)
& ~ p28(X2) )
| ( ~ p27(X2)
& p28(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p28(X1)
& ~ p29(X1) )
| ( ~ p28(X1)
& p29(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p29(X2)
& ~ p30(X2) )
| ( ~ p29(X2)
& p30(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p30(X1)
& ~ p31(X1) )
| ( ~ p30(X1)
& p31(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p31(X2)
& ~ p32(X2) )
| ( ~ p31(X2)
& p32(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p32(X1)
& ~ p33(X1) )
| ( ~ p32(X1)
& p33(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p33(X2)
& ~ p34(X2) )
| ( ~ p33(X2)
& p34(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p34(X1)
& ~ p35(X1) )
| ( ~ p34(X1)
& p35(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p35(X2)
& ~ p36(X2) )
| ( ~ p35(X2)
& p36(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p36(X1)
& ~ p37(X1) )
| ( ~ p36(X1)
& p37(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p37(X2)
& ~ p38(X2) )
| ( ~ p37(X2)
& p38(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p38(X1)
& ~ p39(X1) )
| ( ~ p38(X1)
& p39(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p39(X2)
& ~ p40(X2) )
| ( ~ p39(X2)
& p40(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p40(X1)
& ~ p41(X1) )
| ( ~ p40(X1)
& p41(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p41(X2)
& ~ p42(X2) )
| ( ~ p41(X2)
& p42(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p42(X1)
& ~ p43(X1) )
| ( ~ p42(X1)
& p43(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p43(X2)
& ~ p44(X2) )
| ( ~ p43(X2)
& p44(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p44(X1)
& ~ p45(X1) )
| ( ~ p44(X1)
& p45(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p45(X2)
& ~ p46(X2) )
| ( ~ p45(X2)
& p46(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p46(X1)
& ~ p47(X1) )
| ( ~ p46(X1)
& p47(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p47(X2)
& ~ p48(X2) )
| ( ~ p47(X2)
& p48(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p48(X1)
& ~ p49(X1) )
| ( ~ p48(X1)
& p49(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p49(X2)
& ~ p50(X2) )
| ( ~ p49(X2)
& p50(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p50(X1)
& ~ p51(X1) )
| ( ~ p50(X1)
& p51(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p51(X2)
& ~ p52(X2) )
| ( ~ p51(X2)
& p52(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p52(X1)
& ~ p53(X1) )
| ( ~ p52(X1)
& p53(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p53(X2)
& ~ p54(X2) )
| ( ~ p53(X2)
& p54(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p54(X1)
& ~ p55(X1) )
| ( ~ p54(X1)
& p55(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p55(X2)
& ~ p56(X2) )
| ( ~ p55(X2)
& p56(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p56(X1)
& ~ p57(X1) )
| ( ~ p56(X1)
& p57(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p57(X2)
& ~ p58(X2) )
| ( ~ p57(X2)
& p58(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p58(X1)
& ~ p59(X1) )
| ( ~ p58(X1)
& p59(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ $true
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ p60(X2)
| ~ r1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(c_0_2,plain,
! [X1] :
( epred1_1(X1)
<=> ~ ( ! [X2] :
( ( p1(X2)
& p2(X2) )
| ( ~ p2(X2)
& ~ p1(X2) )
| ( p2(X2)
& p3(X2) )
| ( ~ p3(X2)
& ~ p2(X2) )
| ( p3(X2)
& p4(X2) )
| ( ~ p4(X2)
& ~ p3(X2) )
| ( p4(X2)
& p5(X2) )
| ( ~ p5(X2)
& ~ p4(X2) )
| ( p5(X2)
& p6(X2) )
| ( ~ p6(X2)
& ~ p5(X2) )
| ( p6(X2)
& p7(X2) )
| ( ~ p7(X2)
& ~ p6(X2) )
| ( p7(X2)
& p8(X2) )
| ( ~ p8(X2)
& ~ p7(X2) )
| ( p8(X2)
& p9(X2) )
| ( ~ p9(X2)
& ~ p8(X2) )
| ( p9(X2)
& p10(X2) )
| ( ~ p10(X2)
& ~ p9(X2) )
| ( p10(X2)
& p11(X2) )
| ( ~ p11(X2)
& ~ p10(X2) )
| ( p11(X2)
& p12(X2) )
| ( ~ p12(X2)
& ~ p11(X2) )
| ( p12(X2)
& p13(X2) )
| ( ~ p13(X2)
& ~ p12(X2) )
| ( p13(X2)
& p14(X2) )
| ( ~ p14(X2)
& ~ p13(X2) )
| ( p14(X2)
& p15(X2) )
| ( ~ p15(X2)
& ~ p14(X2) )
| ( p15(X2)
& p16(X2) )
| ( ~ p16(X2)
& ~ p15(X2) )
| ( p16(X2)
& p17(X2) )
| ( ~ p17(X2)
& ~ p16(X2) )
| ( p17(X2)
& p18(X2) )
| ( ~ p18(X2)
& ~ p17(X2) )
| ( p18(X2)
& p19(X2) )
| ( ~ p19(X2)
& ~ p18(X2) )
| ( p19(X2)
& p20(X2) )
| ( ~ p20(X2)
& ~ p19(X2) )
| ( p20(X2)
& p21(X2) )
| ( ~ p21(X2)
& ~ p20(X2) )
| ( p21(X2)
& p22(X2) )
| ( ~ p22(X2)
& ~ p21(X2) )
| ( p22(X2)
& p23(X2) )
| ( ~ p23(X2)
& ~ p22(X2) )
| ( p23(X2)
& p24(X2) )
| ( ~ p24(X2)
& ~ p23(X2) )
| ( p24(X2)
& p25(X2) )
| ( ~ p25(X2)
& ~ p24(X2) )
| ( p25(X2)
& p26(X2) )
| ( ~ p26(X2)
& ~ p25(X2) )
| ( p26(X2)
& p27(X2) )
| ( ~ p27(X2)
& ~ p26(X2) )
| ( p27(X2)
& p28(X2) )
| ( ~ p28(X2)
& ~ p27(X2) )
| ( p28(X2)
& p29(X2) )
| ( ~ p29(X2)
& ~ p28(X2) )
| ( p29(X2)
& p30(X2) )
| ( ~ p30(X2)
& ~ p29(X2) )
| ( p30(X2)
& p31(X2) )
| ( ~ p31(X2)
& ~ p30(X2) )
| ( p31(X2)
& p32(X2) )
| ( ~ p32(X2)
& ~ p31(X2) )
| ( p32(X2)
& p33(X2) )
| ( ~ p33(X2)
& ~ p32(X2) )
| ( p33(X2)
& p34(X2) )
| ( ~ p34(X2)
& ~ p33(X2) )
| ( p34(X2)
& p35(X2) )
| ( ~ p35(X2)
& ~ p34(X2) )
| ( p35(X2)
& p36(X2) )
| ( ~ p36(X2)
& ~ p35(X2) )
| ( p36(X2)
& p37(X2) )
| ( ~ p37(X2)
& ~ p36(X2) )
| ( p37(X2)
& p38(X2) )
| ( ~ p38(X2)
& ~ p37(X2) )
| ( p38(X2)
& p39(X2) )
| ( ~ p39(X2)
& ~ p38(X2) )
| ( p39(X2)
& p40(X2) )
| ( ~ p40(X2)
& ~ p39(X2) )
| ( p40(X2)
& p41(X2) )
| ( ~ p41(X2)
& ~ p40(X2) )
| ( p41(X2)
& p42(X2) )
| ( ~ p42(X2)
& ~ p41(X2) )
| ( p42(X2)
& p43(X2) )
| ( ~ p43(X2)
& ~ p42(X2) )
| ( p43(X2)
& p44(X2) )
| ( ~ p44(X2)
& ~ p43(X2) )
| ( p44(X2)
& p45(X2) )
| ( ~ p45(X2)
& ~ p44(X2) )
| ( p45(X2)
& p46(X2) )
| ( ~ p46(X2)
& ~ p45(X2) )
| ( p46(X2)
& p47(X2) )
| ( ~ p47(X2)
& ~ p46(X2) )
| ( p47(X2)
& p48(X2) )
| ( ~ p48(X2)
& ~ p47(X2) )
| ( p48(X2)
& p49(X2) )
| ( ~ p49(X2)
& ~ p48(X2) )
| ( p49(X2)
& p50(X2) )
| ( ~ p50(X2)
& ~ p49(X2) )
| ( p50(X2)
& p51(X2) )
| ( ~ p51(X2)
& ~ p50(X2) )
| ( p51(X2)
& p52(X2) )
| ( ~ p52(X2)
& ~ p51(X2) )
| ( p52(X2)
& p53(X2) )
| ( ~ p53(X2)
& ~ p52(X2) )
| ( p53(X2)
& p54(X2) )
| ( ~ p54(X2)
& ~ p53(X2) )
| ( p54(X2)
& p55(X2) )
| ( ~ p55(X2)
& ~ p54(X2) )
| ( p55(X2)
& p56(X2) )
| ( ~ p56(X2)
& ~ p55(X2) )
| ( p56(X2)
& p57(X2) )
| ( ~ p57(X2)
& ~ p56(X2) )
| ( p57(X2)
& p58(X2) )
| ( ~ p58(X2)
& ~ p57(X2) )
| ( p58(X2)
& p59(X2) )
| ( ~ p59(X2)
& ~ p58(X2) )
| ~ r1(X1,X2) )
| ! [X2] :
( p60(X2)
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ( p1(X2)
& ~ p2(X2) )
| ( ~ p1(X2)
& p2(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p2(X1)
& ~ p3(X1) )
| ( ~ p2(X1)
& p3(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p3(X2)
& ~ p4(X2) )
| ( ~ p3(X2)
& p4(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p4(X1)
& ~ p5(X1) )
| ( ~ p4(X1)
& p5(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p5(X2)
& ~ p6(X2) )
| ( ~ p5(X2)
& p6(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p6(X1)
& ~ p7(X1) )
| ( ~ p6(X1)
& p7(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p7(X2)
& ~ p8(X2) )
| ( ~ p7(X2)
& p8(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p8(X1)
& ~ p9(X1) )
| ( ~ p8(X1)
& p9(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p9(X2)
& ~ p10(X2) )
| ( ~ p9(X2)
& p10(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p10(X1)
& ~ p11(X1) )
| ( ~ p10(X1)
& p11(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p11(X2)
& ~ p12(X2) )
| ( ~ p11(X2)
& p12(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p12(X1)
& ~ p13(X1) )
| ( ~ p12(X1)
& p13(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p13(X2)
& ~ p14(X2) )
| ( ~ p13(X2)
& p14(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p14(X1)
& ~ p15(X1) )
| ( ~ p14(X1)
& p15(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p15(X2)
& ~ p16(X2) )
| ( ~ p15(X2)
& p16(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p16(X1)
& ~ p17(X1) )
| ( ~ p16(X1)
& p17(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p17(X2)
& ~ p18(X2) )
| ( ~ p17(X2)
& p18(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p18(X1)
& ~ p19(X1) )
| ( ~ p18(X1)
& p19(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p19(X2)
& ~ p20(X2) )
| ( ~ p19(X2)
& p20(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p20(X1)
& ~ p21(X1) )
| ( ~ p20(X1)
& p21(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p21(X2)
& ~ p22(X2) )
| ( ~ p21(X2)
& p22(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p22(X1)
& ~ p23(X1) )
| ( ~ p22(X1)
& p23(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p23(X2)
& ~ p24(X2) )
| ( ~ p23(X2)
& p24(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p24(X1)
& ~ p25(X1) )
| ( ~ p24(X1)
& p25(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p25(X2)
& ~ p26(X2) )
| ( ~ p25(X2)
& p26(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p26(X1)
& ~ p27(X1) )
| ( ~ p26(X1)
& p27(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p27(X2)
& ~ p28(X2) )
| ( ~ p27(X2)
& p28(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p28(X1)
& ~ p29(X1) )
| ( ~ p28(X1)
& p29(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p29(X2)
& ~ p30(X2) )
| ( ~ p29(X2)
& p30(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p30(X1)
& ~ p31(X1) )
| ( ~ p30(X1)
& p31(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p31(X2)
& ~ p32(X2) )
| ( ~ p31(X2)
& p32(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p32(X1)
& ~ p33(X1) )
| ( ~ p32(X1)
& p33(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p33(X2)
& ~ p34(X2) )
| ( ~ p33(X2)
& p34(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p34(X1)
& ~ p35(X1) )
| ( ~ p34(X1)
& p35(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p35(X2)
& ~ p36(X2) )
| ( ~ p35(X2)
& p36(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p36(X1)
& ~ p37(X1) )
| ( ~ p36(X1)
& p37(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p37(X2)
& ~ p38(X2) )
| ( ~ p37(X2)
& p38(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p38(X1)
& ~ p39(X1) )
| ( ~ p38(X1)
& p39(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p39(X2)
& ~ p40(X2) )
| ( ~ p39(X2)
& p40(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p40(X1)
& ~ p41(X1) )
| ( ~ p40(X1)
& p41(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p41(X2)
& ~ p42(X2) )
| ( ~ p41(X2)
& p42(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p42(X1)
& ~ p43(X1) )
| ( ~ p42(X1)
& p43(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p43(X2)
& ~ p44(X2) )
| ( ~ p43(X2)
& p44(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p44(X1)
& ~ p45(X1) )
| ( ~ p44(X1)
& p45(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p45(X2)
& ~ p46(X2) )
| ( ~ p45(X2)
& p46(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p46(X1)
& ~ p47(X1) )
| ( ~ p46(X1)
& p47(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p47(X2)
& ~ p48(X2) )
| ( ~ p47(X2)
& p48(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p48(X1)
& ~ p49(X1) )
| ( ~ p48(X1)
& p49(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p49(X2)
& ~ p50(X2) )
| ( ~ p49(X2)
& p50(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p50(X1)
& ~ p51(X1) )
| ( ~ p50(X1)
& p51(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p51(X2)
& ~ p52(X2) )
| ( ~ p51(X2)
& p52(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p52(X1)
& ~ p53(X1) )
| ( ~ p52(X1)
& p53(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p53(X2)
& ~ p54(X2) )
| ( ~ p53(X2)
& p54(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p54(X1)
& ~ p55(X1) )
| ( ~ p54(X1)
& p55(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p55(X2)
& ~ p56(X2) )
| ( ~ p55(X2)
& p56(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p56(X1)
& ~ p57(X1) )
| ( ~ p56(X1)
& p57(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p57(X2)
& ~ p58(X2) )
| ( ~ p57(X2)
& p58(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p58(X1)
& ~ p59(X1) )
| ( ~ p58(X1)
& p59(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ $true
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
! [X1] :
( epred1_1(X1)
=> ~ ( ! [X2] :
( ( p1(X2)
& p2(X2) )
| ( ~ p2(X2)
& ~ p1(X2) )
| ( p2(X2)
& p3(X2) )
| ( ~ p3(X2)
& ~ p2(X2) )
| ( p3(X2)
& p4(X2) )
| ( ~ p4(X2)
& ~ p3(X2) )
| ( p4(X2)
& p5(X2) )
| ( ~ p5(X2)
& ~ p4(X2) )
| ( p5(X2)
& p6(X2) )
| ( ~ p6(X2)
& ~ p5(X2) )
| ( p6(X2)
& p7(X2) )
| ( ~ p7(X2)
& ~ p6(X2) )
| ( p7(X2)
& p8(X2) )
| ( ~ p8(X2)
& ~ p7(X2) )
| ( p8(X2)
& p9(X2) )
| ( ~ p9(X2)
& ~ p8(X2) )
| ( p9(X2)
& p10(X2) )
| ( ~ p10(X2)
& ~ p9(X2) )
| ( p10(X2)
& p11(X2) )
| ( ~ p11(X2)
& ~ p10(X2) )
| ( p11(X2)
& p12(X2) )
| ( ~ p12(X2)
& ~ p11(X2) )
| ( p12(X2)
& p13(X2) )
| ( ~ p13(X2)
& ~ p12(X2) )
| ( p13(X2)
& p14(X2) )
| ( ~ p14(X2)
& ~ p13(X2) )
| ( p14(X2)
& p15(X2) )
| ( ~ p15(X2)
& ~ p14(X2) )
| ( p15(X2)
& p16(X2) )
| ( ~ p16(X2)
& ~ p15(X2) )
| ( p16(X2)
& p17(X2) )
| ( ~ p17(X2)
& ~ p16(X2) )
| ( p17(X2)
& p18(X2) )
| ( ~ p18(X2)
& ~ p17(X2) )
| ( p18(X2)
& p19(X2) )
| ( ~ p19(X2)
& ~ p18(X2) )
| ( p19(X2)
& p20(X2) )
| ( ~ p20(X2)
& ~ p19(X2) )
| ( p20(X2)
& p21(X2) )
| ( ~ p21(X2)
& ~ p20(X2) )
| ( p21(X2)
& p22(X2) )
| ( ~ p22(X2)
& ~ p21(X2) )
| ( p22(X2)
& p23(X2) )
| ( ~ p23(X2)
& ~ p22(X2) )
| ( p23(X2)
& p24(X2) )
| ( ~ p24(X2)
& ~ p23(X2) )
| ( p24(X2)
& p25(X2) )
| ( ~ p25(X2)
& ~ p24(X2) )
| ( p25(X2)
& p26(X2) )
| ( ~ p26(X2)
& ~ p25(X2) )
| ( p26(X2)
& p27(X2) )
| ( ~ p27(X2)
& ~ p26(X2) )
| ( p27(X2)
& p28(X2) )
| ( ~ p28(X2)
& ~ p27(X2) )
| ( p28(X2)
& p29(X2) )
| ( ~ p29(X2)
& ~ p28(X2) )
| ( p29(X2)
& p30(X2) )
| ( ~ p30(X2)
& ~ p29(X2) )
| ( p30(X2)
& p31(X2) )
| ( ~ p31(X2)
& ~ p30(X2) )
| ( p31(X2)
& p32(X2) )
| ( ~ p32(X2)
& ~ p31(X2) )
| ( p32(X2)
& p33(X2) )
| ( ~ p33(X2)
& ~ p32(X2) )
| ( p33(X2)
& p34(X2) )
| ( ~ p34(X2)
& ~ p33(X2) )
| ( p34(X2)
& p35(X2) )
| ( ~ p35(X2)
& ~ p34(X2) )
| ( p35(X2)
& p36(X2) )
| ( ~ p36(X2)
& ~ p35(X2) )
| ( p36(X2)
& p37(X2) )
| ( ~ p37(X2)
& ~ p36(X2) )
| ( p37(X2)
& p38(X2) )
| ( ~ p38(X2)
& ~ p37(X2) )
| ( p38(X2)
& p39(X2) )
| ( ~ p39(X2)
& ~ p38(X2) )
| ( p39(X2)
& p40(X2) )
| ( ~ p40(X2)
& ~ p39(X2) )
| ( p40(X2)
& p41(X2) )
| ( ~ p41(X2)
& ~ p40(X2) )
| ( p41(X2)
& p42(X2) )
| ( ~ p42(X2)
& ~ p41(X2) )
| ( p42(X2)
& p43(X2) )
| ( ~ p43(X2)
& ~ p42(X2) )
| ( p43(X2)
& p44(X2) )
| ( ~ p44(X2)
& ~ p43(X2) )
| ( p44(X2)
& p45(X2) )
| ( ~ p45(X2)
& ~ p44(X2) )
| ( p45(X2)
& p46(X2) )
| ( ~ p46(X2)
& ~ p45(X2) )
| ( p46(X2)
& p47(X2) )
| ( ~ p47(X2)
& ~ p46(X2) )
| ( p47(X2)
& p48(X2) )
| ( ~ p48(X2)
& ~ p47(X2) )
| ( p48(X2)
& p49(X2) )
| ( ~ p49(X2)
& ~ p48(X2) )
| ( p49(X2)
& p50(X2) )
| ( ~ p50(X2)
& ~ p49(X2) )
| ( p50(X2)
& p51(X2) )
| ( ~ p51(X2)
& ~ p50(X2) )
| ( p51(X2)
& p52(X2) )
| ( ~ p52(X2)
& ~ p51(X2) )
| ( p52(X2)
& p53(X2) )
| ( ~ p53(X2)
& ~ p52(X2) )
| ( p53(X2)
& p54(X2) )
| ( ~ p54(X2)
& ~ p53(X2) )
| ( p54(X2)
& p55(X2) )
| ( ~ p55(X2)
& ~ p54(X2) )
| ( p55(X2)
& p56(X2) )
| ( ~ p56(X2)
& ~ p55(X2) )
| ( p56(X2)
& p57(X2) )
| ( ~ p57(X2)
& ~ p56(X2) )
| ( p57(X2)
& p58(X2) )
| ( ~ p58(X2)
& ~ p57(X2) )
| ( p58(X2)
& p59(X2) )
| ( ~ p59(X2)
& ~ p58(X2) )
| ~ r1(X1,X2) )
| ! [X2] :
( p60(X2)
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ( p1(X2)
& ~ p2(X2) )
| ( ~ p1(X2)
& p2(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p2(X1)
& ~ p3(X1) )
| ( ~ p2(X1)
& p3(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p3(X2)
& ~ p4(X2) )
| ( ~ p3(X2)
& p4(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p4(X1)
& ~ p5(X1) )
| ( ~ p4(X1)
& p5(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p5(X2)
& ~ p6(X2) )
| ( ~ p5(X2)
& p6(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p6(X1)
& ~ p7(X1) )
| ( ~ p6(X1)
& p7(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p7(X2)
& ~ p8(X2) )
| ( ~ p7(X2)
& p8(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p8(X1)
& ~ p9(X1) )
| ( ~ p8(X1)
& p9(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p9(X2)
& ~ p10(X2) )
| ( ~ p9(X2)
& p10(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p10(X1)
& ~ p11(X1) )
| ( ~ p10(X1)
& p11(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p11(X2)
& ~ p12(X2) )
| ( ~ p11(X2)
& p12(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p12(X1)
& ~ p13(X1) )
| ( ~ p12(X1)
& p13(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p13(X2)
& ~ p14(X2) )
| ( ~ p13(X2)
& p14(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p14(X1)
& ~ p15(X1) )
| ( ~ p14(X1)
& p15(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p15(X2)
& ~ p16(X2) )
| ( ~ p15(X2)
& p16(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p16(X1)
& ~ p17(X1) )
| ( ~ p16(X1)
& p17(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p17(X2)
& ~ p18(X2) )
| ( ~ p17(X2)
& p18(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p18(X1)
& ~ p19(X1) )
| ( ~ p18(X1)
& p19(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p19(X2)
& ~ p20(X2) )
| ( ~ p19(X2)
& p20(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p20(X1)
& ~ p21(X1) )
| ( ~ p20(X1)
& p21(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p21(X2)
& ~ p22(X2) )
| ( ~ p21(X2)
& p22(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p22(X1)
& ~ p23(X1) )
| ( ~ p22(X1)
& p23(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p23(X2)
& ~ p24(X2) )
| ( ~ p23(X2)
& p24(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p24(X1)
& ~ p25(X1) )
| ( ~ p24(X1)
& p25(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p25(X2)
& ~ p26(X2) )
| ( ~ p25(X2)
& p26(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p26(X1)
& ~ p27(X1) )
| ( ~ p26(X1)
& p27(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p27(X2)
& ~ p28(X2) )
| ( ~ p27(X2)
& p28(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p28(X1)
& ~ p29(X1) )
| ( ~ p28(X1)
& p29(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p29(X2)
& ~ p30(X2) )
| ( ~ p29(X2)
& p30(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p30(X1)
& ~ p31(X1) )
| ( ~ p30(X1)
& p31(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p31(X2)
& ~ p32(X2) )
| ( ~ p31(X2)
& p32(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p32(X1)
& ~ p33(X1) )
| ( ~ p32(X1)
& p33(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p33(X2)
& ~ p34(X2) )
| ( ~ p33(X2)
& p34(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p34(X1)
& ~ p35(X1) )
| ( ~ p34(X1)
& p35(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p35(X2)
& ~ p36(X2) )
| ( ~ p35(X2)
& p36(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p36(X1)
& ~ p37(X1) )
| ( ~ p36(X1)
& p37(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p37(X2)
& ~ p38(X2) )
| ( ~ p37(X2)
& p38(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p38(X1)
& ~ p39(X1) )
| ( ~ p38(X1)
& p39(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p39(X2)
& ~ p40(X2) )
| ( ~ p39(X2)
& p40(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p40(X1)
& ~ p41(X1) )
| ( ~ p40(X1)
& p41(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p41(X2)
& ~ p42(X2) )
| ( ~ p41(X2)
& p42(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p42(X1)
& ~ p43(X1) )
| ( ~ p42(X1)
& p43(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p43(X2)
& ~ p44(X2) )
| ( ~ p43(X2)
& p44(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p44(X1)
& ~ p45(X1) )
| ( ~ p44(X1)
& p45(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p45(X2)
& ~ p46(X2) )
| ( ~ p45(X2)
& p46(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p46(X1)
& ~ p47(X1) )
| ( ~ p46(X1)
& p47(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p47(X2)
& ~ p48(X2) )
| ( ~ p47(X2)
& p48(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p48(X1)
& ~ p49(X1) )
| ( ~ p48(X1)
& p49(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p49(X2)
& ~ p50(X2) )
| ( ~ p49(X2)
& p50(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p50(X1)
& ~ p51(X1) )
| ( ~ p50(X1)
& p51(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p51(X2)
& ~ p52(X2) )
| ( ~ p51(X2)
& p52(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p52(X1)
& ~ p53(X1) )
| ( ~ p52(X1)
& p53(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p53(X2)
& ~ p54(X2) )
| ( ~ p53(X2)
& p54(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p54(X1)
& ~ p55(X1) )
| ( ~ p54(X1)
& p55(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p55(X2)
& ~ p56(X2) )
| ( ~ p55(X2)
& p56(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p56(X1)
& ~ p57(X1) )
| ( ~ p56(X1)
& p57(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p57(X2)
& ~ p58(X2) )
| ( ~ p57(X2)
& p58(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p58(X1)
& ~ p59(X1) )
| ( ~ p58(X1)
& p59(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ $true
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
fof(c_0_4,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ~ ! [X1] :
( ~ ( ! [X2] :
( ( p1(X2)
& p2(X2) )
| ( ~ p2(X2)
& ~ p1(X2) )
| ( p2(X2)
& p3(X2) )
| ( ~ p3(X2)
& ~ p2(X2) )
| ( p3(X2)
& p4(X2) )
| ( ~ p4(X2)
& ~ p3(X2) )
| ( p4(X2)
& p5(X2) )
| ( ~ p5(X2)
& ~ p4(X2) )
| ( p5(X2)
& p6(X2) )
| ( ~ p6(X2)
& ~ p5(X2) )
| ( p6(X2)
& p7(X2) )
| ( ~ p7(X2)
& ~ p6(X2) )
| ( p7(X2)
& p8(X2) )
| ( ~ p8(X2)
& ~ p7(X2) )
| ( p8(X2)
& p9(X2) )
| ( ~ p9(X2)
& ~ p8(X2) )
| ( p9(X2)
& p10(X2) )
| ( ~ p10(X2)
& ~ p9(X2) )
| ( p10(X2)
& p11(X2) )
| ( ~ p11(X2)
& ~ p10(X2) )
| ( p11(X2)
& p12(X2) )
| ( ~ p12(X2)
& ~ p11(X2) )
| ( p12(X2)
& p13(X2) )
| ( ~ p13(X2)
& ~ p12(X2) )
| ( p13(X2)
& p14(X2) )
| ( ~ p14(X2)
& ~ p13(X2) )
| ( p14(X2)
& p15(X2) )
| ( ~ p15(X2)
& ~ p14(X2) )
| ( p15(X2)
& p16(X2) )
| ( ~ p16(X2)
& ~ p15(X2) )
| ( p16(X2)
& p17(X2) )
| ( ~ p17(X2)
& ~ p16(X2) )
| ( p17(X2)
& p18(X2) )
| ( ~ p18(X2)
& ~ p17(X2) )
| ( p18(X2)
& p19(X2) )
| ( ~ p19(X2)
& ~ p18(X2) )
| ( p19(X2)
& p20(X2) )
| ( ~ p20(X2)
& ~ p19(X2) )
| ( p20(X2)
& p21(X2) )
| ( ~ p21(X2)
& ~ p20(X2) )
| ( p21(X2)
& p22(X2) )
| ( ~ p22(X2)
& ~ p21(X2) )
| ( p22(X2)
& p23(X2) )
| ( ~ p23(X2)
& ~ p22(X2) )
| ( p23(X2)
& p24(X2) )
| ( ~ p24(X2)
& ~ p23(X2) )
| ( p24(X2)
& p25(X2) )
| ( ~ p25(X2)
& ~ p24(X2) )
| ( p25(X2)
& p26(X2) )
| ( ~ p26(X2)
& ~ p25(X2) )
| ( p26(X2)
& p27(X2) )
| ( ~ p27(X2)
& ~ p26(X2) )
| ( p27(X2)
& p28(X2) )
| ( ~ p28(X2)
& ~ p27(X2) )
| ( p28(X2)
& p29(X2) )
| ( ~ p29(X2)
& ~ p28(X2) )
| ( p29(X2)
& p30(X2) )
| ( ~ p30(X2)
& ~ p29(X2) )
| ( p30(X2)
& p31(X2) )
| ( ~ p31(X2)
& ~ p30(X2) )
| ( p31(X2)
& p32(X2) )
| ( ~ p32(X2)
& ~ p31(X2) )
| ( p32(X2)
& p33(X2) )
| ( ~ p33(X2)
& ~ p32(X2) )
| ( p33(X2)
& p34(X2) )
| ( ~ p34(X2)
& ~ p33(X2) )
| ( p34(X2)
& p35(X2) )
| ( ~ p35(X2)
& ~ p34(X2) )
| ( p35(X2)
& p36(X2) )
| ( ~ p36(X2)
& ~ p35(X2) )
| ( p36(X2)
& p37(X2) )
| ( ~ p37(X2)
& ~ p36(X2) )
| ( p37(X2)
& p38(X2) )
| ( ~ p38(X2)
& ~ p37(X2) )
| ( p38(X2)
& p39(X2) )
| ( ~ p39(X2)
& ~ p38(X2) )
| ( p39(X2)
& p40(X2) )
| ( ~ p40(X2)
& ~ p39(X2) )
| ( p40(X2)
& p41(X2) )
| ( ~ p41(X2)
& ~ p40(X2) )
| ( p41(X2)
& p42(X2) )
| ( ~ p42(X2)
& ~ p41(X2) )
| ( p42(X2)
& p43(X2) )
| ( ~ p43(X2)
& ~ p42(X2) )
| ( p43(X2)
& p44(X2) )
| ( ~ p44(X2)
& ~ p43(X2) )
| ( p44(X2)
& p45(X2) )
| ( ~ p45(X2)
& ~ p44(X2) )
| ( p45(X2)
& p46(X2) )
| ( ~ p46(X2)
& ~ p45(X2) )
| ( p46(X2)
& p47(X2) )
| ( ~ p47(X2)
& ~ p46(X2) )
| ( p47(X2)
& p48(X2) )
| ( ~ p48(X2)
& ~ p47(X2) )
| ( p48(X2)
& p49(X2) )
| ( ~ p49(X2)
& ~ p48(X2) )
| ( p49(X2)
& p50(X2) )
| ( ~ p50(X2)
& ~ p49(X2) )
| ( p50(X2)
& p51(X2) )
| ( ~ p51(X2)
& ~ p50(X2) )
| ( p51(X2)
& p52(X2) )
| ( ~ p52(X2)
& ~ p51(X2) )
| ( p52(X2)
& p53(X2) )
| ( ~ p53(X2)
& ~ p52(X2) )
| ( p53(X2)
& p54(X2) )
| ( ~ p54(X2)
& ~ p53(X2) )
| ( p54(X2)
& p55(X2) )
| ( ~ p55(X2)
& ~ p54(X2) )
| ( p55(X2)
& p56(X2) )
| ( ~ p56(X2)
& ~ p55(X2) )
| ( p56(X2)
& p57(X2) )
| ( ~ p57(X2)
& ~ p56(X2) )
| ( p57(X2)
& p58(X2) )
| ( ~ p58(X2)
& ~ p57(X2) )
| ( p58(X2)
& p59(X2) )
| ( ~ p59(X2)
& ~ p58(X2) )
| ~ r1(X1,X2) )
| ! [X2] :
( p60(X2)
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ( p1(X2)
& ~ p2(X2) )
| ( ~ p1(X2)
& p2(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p2(X1)
& ~ p3(X1) )
| ( ~ p2(X1)
& p3(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p3(X2)
& ~ p4(X2) )
| ( ~ p3(X2)
& p4(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p4(X1)
& ~ p5(X1) )
| ( ~ p4(X1)
& p5(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p5(X2)
& ~ p6(X2) )
| ( ~ p5(X2)
& p6(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p6(X1)
& ~ p7(X1) )
| ( ~ p6(X1)
& p7(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p7(X2)
& ~ p8(X2) )
| ( ~ p7(X2)
& p8(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p8(X1)
& ~ p9(X1) )
| ( ~ p8(X1)
& p9(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p9(X2)
& ~ p10(X2) )
| ( ~ p9(X2)
& p10(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p10(X1)
& ~ p11(X1) )
| ( ~ p10(X1)
& p11(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p11(X2)
& ~ p12(X2) )
| ( ~ p11(X2)
& p12(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p12(X1)
& ~ p13(X1) )
| ( ~ p12(X1)
& p13(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p13(X2)
& ~ p14(X2) )
| ( ~ p13(X2)
& p14(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p14(X1)
& ~ p15(X1) )
| ( ~ p14(X1)
& p15(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p15(X2)
& ~ p16(X2) )
| ( ~ p15(X2)
& p16(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p16(X1)
& ~ p17(X1) )
| ( ~ p16(X1)
& p17(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p17(X2)
& ~ p18(X2) )
| ( ~ p17(X2)
& p18(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p18(X1)
& ~ p19(X1) )
| ( ~ p18(X1)
& p19(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p19(X2)
& ~ p20(X2) )
| ( ~ p19(X2)
& p20(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p20(X1)
& ~ p21(X1) )
| ( ~ p20(X1)
& p21(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p21(X2)
& ~ p22(X2) )
| ( ~ p21(X2)
& p22(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p22(X1)
& ~ p23(X1) )
| ( ~ p22(X1)
& p23(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p23(X2)
& ~ p24(X2) )
| ( ~ p23(X2)
& p24(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p24(X1)
& ~ p25(X1) )
| ( ~ p24(X1)
& p25(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p25(X2)
& ~ p26(X2) )
| ( ~ p25(X2)
& p26(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p26(X1)
& ~ p27(X1) )
| ( ~ p26(X1)
& p27(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p27(X2)
& ~ p28(X2) )
| ( ~ p27(X2)
& p28(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p28(X1)
& ~ p29(X1) )
| ( ~ p28(X1)
& p29(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p29(X2)
& ~ p30(X2) )
| ( ~ p29(X2)
& p30(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p30(X1)
& ~ p31(X1) )
| ( ~ p30(X1)
& p31(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p31(X2)
& ~ p32(X2) )
| ( ~ p31(X2)
& p32(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p32(X1)
& ~ p33(X1) )
| ( ~ p32(X1)
& p33(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p33(X2)
& ~ p34(X2) )
| ( ~ p33(X2)
& p34(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p34(X1)
& ~ p35(X1) )
| ( ~ p34(X1)
& p35(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p35(X2)
& ~ p36(X2) )
| ( ~ p35(X2)
& p36(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p36(X1)
& ~ p37(X1) )
| ( ~ p36(X1)
& p37(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p37(X2)
& ~ p38(X2) )
| ( ~ p37(X2)
& p38(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p38(X1)
& ~ p39(X1) )
| ( ~ p38(X1)
& p39(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p39(X2)
& ~ p40(X2) )
| ( ~ p39(X2)
& p40(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p40(X1)
& ~ p41(X1) )
| ( ~ p40(X1)
& p41(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p41(X2)
& ~ p42(X2) )
| ( ~ p41(X2)
& p42(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p42(X1)
& ~ p43(X1) )
| ( ~ p42(X1)
& p43(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p43(X2)
& ~ p44(X2) )
| ( ~ p43(X2)
& p44(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p44(X1)
& ~ p45(X1) )
| ( ~ p44(X1)
& p45(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p45(X2)
& ~ p46(X2) )
| ( ~ p45(X2)
& p46(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p46(X1)
& ~ p47(X1) )
| ( ~ p46(X1)
& p47(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p47(X2)
& ~ p48(X2) )
| ( ~ p47(X2)
& p48(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p48(X1)
& ~ p49(X1) )
| ( ~ p48(X1)
& p49(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p49(X2)
& ~ p50(X2) )
| ( ~ p49(X2)
& p50(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p50(X1)
& ~ p51(X1) )
| ( ~ p50(X1)
& p51(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p51(X2)
& ~ p52(X2) )
| ( ~ p51(X2)
& p52(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p52(X1)
& ~ p53(X1) )
| ( ~ p52(X1)
& p53(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p53(X2)
& ~ p54(X2) )
| ( ~ p53(X2)
& p54(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p54(X1)
& ~ p55(X1) )
| ( ~ p54(X1)
& p55(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p55(X2)
& ~ p56(X2) )
| ( ~ p55(X2)
& p56(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p56(X1)
& ~ p57(X1) )
| ( ~ p56(X1)
& p57(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ( p57(X2)
& ~ p58(X2) )
| ( ~ p57(X2)
& p58(X2) ) )
| ~ r1(X1,X2) )
| ! [X2] :
( ~ ! [X1] :
( ~ ( ( p58(X1)
& ~ p59(X1) )
| ( ~ p58(X1)
& p59(X1) ) )
| ~ r1(X2,X1) )
| ! [X1] :
( ~ $true
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) ) )
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ p60(X2)
| ~ r1(X1,X2) ) ),
inference(assume_negation,[status(cth)],[main]) ).
fof(c_0_5,plain,
! [X13,X72,X73,X74,X75,X76,X77,X78,X79,X80,X81,X82,X83,X84,X85,X86,X87,X88,X89,X90,X91,X92,X93,X94,X95,X96,X97,X98,X99,X100,X101,X102,X103,X104,X105,X106,X107,X108,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129] :
( ( ~ epred1_1(X13)
| ~ p1(esk64_1(X13))
| ~ p2(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p2(esk64_1(X13))
| p1(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p2(esk64_1(X13))
| ~ p3(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p3(esk64_1(X13))
| p2(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p3(esk64_1(X13))
| ~ p4(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p4(esk64_1(X13))
| p3(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p4(esk64_1(X13))
| ~ p5(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p5(esk64_1(X13))
| p4(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p5(esk64_1(X13))
| ~ p6(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p6(esk64_1(X13))
| p5(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p6(esk64_1(X13))
| ~ p7(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p7(esk64_1(X13))
| p6(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p7(esk64_1(X13))
| ~ p8(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p8(esk64_1(X13))
| p7(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p8(esk64_1(X13))
| ~ p9(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p9(esk64_1(X13))
| p8(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p9(esk64_1(X13))
| ~ p10(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p10(esk64_1(X13))
| p9(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p10(esk64_1(X13))
| ~ p11(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p11(esk64_1(X13))
| p10(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p11(esk64_1(X13))
| ~ p12(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p12(esk64_1(X13))
| p11(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p12(esk64_1(X13))
| ~ p13(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p13(esk64_1(X13))
| p12(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p13(esk64_1(X13))
| ~ p14(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p14(esk64_1(X13))
| p13(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p14(esk64_1(X13))
| ~ p15(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p15(esk64_1(X13))
| p14(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p15(esk64_1(X13))
| ~ p16(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p16(esk64_1(X13))
| p15(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p16(esk64_1(X13))
| ~ p17(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p17(esk64_1(X13))
| p16(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p17(esk64_1(X13))
| ~ p18(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p18(esk64_1(X13))
| p17(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p18(esk64_1(X13))
| ~ p19(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p19(esk64_1(X13))
| p18(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p19(esk64_1(X13))
| ~ p20(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p20(esk64_1(X13))
| p19(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p20(esk64_1(X13))
| ~ p21(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p21(esk64_1(X13))
| p20(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p21(esk64_1(X13))
| ~ p22(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p22(esk64_1(X13))
| p21(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p22(esk64_1(X13))
| ~ p23(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p23(esk64_1(X13))
| p22(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p23(esk64_1(X13))
| ~ p24(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p24(esk64_1(X13))
| p23(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p24(esk64_1(X13))
| ~ p25(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p25(esk64_1(X13))
| p24(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p25(esk64_1(X13))
| ~ p26(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p26(esk64_1(X13))
| p25(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p26(esk64_1(X13))
| ~ p27(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p27(esk64_1(X13))
| p26(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p27(esk64_1(X13))
| ~ p28(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p28(esk64_1(X13))
| p27(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p28(esk64_1(X13))
| ~ p29(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p29(esk64_1(X13))
| p28(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p29(esk64_1(X13))
| ~ p30(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p30(esk64_1(X13))
| p29(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p30(esk64_1(X13))
| ~ p31(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p31(esk64_1(X13))
| p30(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p31(esk64_1(X13))
| ~ p32(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p32(esk64_1(X13))
| p31(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p32(esk64_1(X13))
| ~ p33(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p33(esk64_1(X13))
| p32(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p33(esk64_1(X13))
| ~ p34(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p34(esk64_1(X13))
| p33(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p34(esk64_1(X13))
| ~ p35(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p35(esk64_1(X13))
| p34(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p35(esk64_1(X13))
| ~ p36(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p36(esk64_1(X13))
| p35(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p36(esk64_1(X13))
| ~ p37(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p37(esk64_1(X13))
| p36(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p37(esk64_1(X13))
| ~ p38(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p38(esk64_1(X13))
| p37(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p38(esk64_1(X13))
| ~ p39(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p39(esk64_1(X13))
| p38(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p39(esk64_1(X13))
| ~ p40(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p40(esk64_1(X13))
| p39(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p40(esk64_1(X13))
| ~ p41(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p41(esk64_1(X13))
| p40(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p41(esk64_1(X13))
| ~ p42(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p42(esk64_1(X13))
| p41(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p42(esk64_1(X13))
| ~ p43(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p43(esk64_1(X13))
| p42(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p43(esk64_1(X13))
| ~ p44(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p44(esk64_1(X13))
| p43(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p44(esk64_1(X13))
| ~ p45(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p45(esk64_1(X13))
| p44(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p45(esk64_1(X13))
| ~ p46(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p46(esk64_1(X13))
| p45(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p46(esk64_1(X13))
| ~ p47(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p47(esk64_1(X13))
| p46(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p47(esk64_1(X13))
| ~ p48(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p48(esk64_1(X13))
| p47(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p48(esk64_1(X13))
| ~ p49(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p49(esk64_1(X13))
| p48(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p49(esk64_1(X13))
| ~ p50(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p50(esk64_1(X13))
| p49(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p50(esk64_1(X13))
| ~ p51(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p51(esk64_1(X13))
| p50(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p51(esk64_1(X13))
| ~ p52(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p52(esk64_1(X13))
| p51(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p52(esk64_1(X13))
| ~ p53(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p53(esk64_1(X13))
| p52(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p53(esk64_1(X13))
| ~ p54(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p54(esk64_1(X13))
| p53(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p54(esk64_1(X13))
| ~ p55(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p55(esk64_1(X13))
| p54(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p55(esk64_1(X13))
| ~ p56(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p56(esk64_1(X13))
| p55(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p56(esk64_1(X13))
| ~ p57(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p57(esk64_1(X13))
| p56(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p57(esk64_1(X13))
| ~ p58(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p58(esk64_1(X13))
| p57(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p58(esk64_1(X13))
| ~ p59(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| p59(esk64_1(X13))
| p58(esk64_1(X13)) )
& ( ~ epred1_1(X13)
| r1(X13,esk64_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p60(esk63_1(X13)) )
& ( ~ epred1_1(X13)
| r1(X13,esk63_1(X13)) )
& ( ~ epred1_1(X13)
| ~ r1(X13,X129)
| ~ p1(X129)
| p2(X129) )
& ( ~ epred1_1(X13)
| ~ r1(X13,X129)
| p1(X129)
| ~ p2(X129) )
& ( ~ epred1_1(X13)
| ~ r1(esk5_1(X13),X128)
| ~ p2(X128)
| p3(X128) )
& ( ~ epred1_1(X13)
| ~ r1(esk5_1(X13),X128)
| p2(X128)
| ~ p3(X128) )
& ( ~ epred1_1(X13)
| ~ r1(esk6_1(X13),X127)
| ~ p3(X127)
| p4(X127) )
& ( ~ epred1_1(X13)
| ~ r1(esk6_1(X13),X127)
| p3(X127)
| ~ p4(X127) )
& ( ~ epred1_1(X13)
| ~ r1(esk7_1(X13),X126)
| ~ p4(X126)
| p5(X126) )
& ( ~ epred1_1(X13)
| ~ r1(esk7_1(X13),X126)
| p4(X126)
| ~ p5(X126) )
& ( ~ epred1_1(X13)
| ~ r1(esk8_1(X13),X125)
| ~ p5(X125)
| p6(X125) )
& ( ~ epred1_1(X13)
| ~ r1(esk8_1(X13),X125)
| p5(X125)
| ~ p6(X125) )
& ( ~ epred1_1(X13)
| ~ r1(esk9_1(X13),X124)
| ~ p6(X124)
| p7(X124) )
& ( ~ epred1_1(X13)
| ~ r1(esk9_1(X13),X124)
| p6(X124)
| ~ p7(X124) )
& ( ~ epred1_1(X13)
| ~ r1(esk10_1(X13),X123)
| ~ p7(X123)
| p8(X123) )
& ( ~ epred1_1(X13)
| ~ r1(esk10_1(X13),X123)
| p7(X123)
| ~ p8(X123) )
& ( ~ epred1_1(X13)
| ~ r1(esk11_1(X13),X122)
| ~ p8(X122)
| p9(X122) )
& ( ~ epred1_1(X13)
| ~ r1(esk11_1(X13),X122)
| p8(X122)
| ~ p9(X122) )
& ( ~ epred1_1(X13)
| ~ r1(esk12_1(X13),X121)
| ~ p9(X121)
| p10(X121) )
& ( ~ epred1_1(X13)
| ~ r1(esk12_1(X13),X121)
| p9(X121)
| ~ p10(X121) )
& ( ~ epred1_1(X13)
| ~ r1(esk13_1(X13),X120)
| ~ p10(X120)
| p11(X120) )
& ( ~ epred1_1(X13)
| ~ r1(esk13_1(X13),X120)
| p10(X120)
| ~ p11(X120) )
& ( ~ epred1_1(X13)
| ~ r1(esk14_1(X13),X119)
| ~ p11(X119)
| p12(X119) )
& ( ~ epred1_1(X13)
| ~ r1(esk14_1(X13),X119)
| p11(X119)
| ~ p12(X119) )
& ( ~ epred1_1(X13)
| ~ r1(esk15_1(X13),X118)
| ~ p12(X118)
| p13(X118) )
& ( ~ epred1_1(X13)
| ~ r1(esk15_1(X13),X118)
| p12(X118)
| ~ p13(X118) )
& ( ~ epred1_1(X13)
| ~ r1(esk16_1(X13),X117)
| ~ p13(X117)
| p14(X117) )
& ( ~ epred1_1(X13)
| ~ r1(esk16_1(X13),X117)
| p13(X117)
| ~ p14(X117) )
& ( ~ epred1_1(X13)
| ~ r1(esk17_1(X13),X116)
| ~ p14(X116)
| p15(X116) )
& ( ~ epred1_1(X13)
| ~ r1(esk17_1(X13),X116)
| p14(X116)
| ~ p15(X116) )
& ( ~ epred1_1(X13)
| ~ r1(esk18_1(X13),X115)
| ~ p15(X115)
| p16(X115) )
& ( ~ epred1_1(X13)
| ~ r1(esk18_1(X13),X115)
| p15(X115)
| ~ p16(X115) )
& ( ~ epred1_1(X13)
| ~ r1(esk19_1(X13),X114)
| ~ p16(X114)
| p17(X114) )
& ( ~ epred1_1(X13)
| ~ r1(esk19_1(X13),X114)
| p16(X114)
| ~ p17(X114) )
& ( ~ epred1_1(X13)
| ~ r1(esk20_1(X13),X113)
| ~ p17(X113)
| p18(X113) )
& ( ~ epred1_1(X13)
| ~ r1(esk20_1(X13),X113)
| p17(X113)
| ~ p18(X113) )
& ( ~ epred1_1(X13)
| ~ r1(esk21_1(X13),X112)
| ~ p18(X112)
| p19(X112) )
& ( ~ epred1_1(X13)
| ~ r1(esk21_1(X13),X112)
| p18(X112)
| ~ p19(X112) )
& ( ~ epred1_1(X13)
| ~ r1(esk22_1(X13),X111)
| ~ p19(X111)
| p20(X111) )
& ( ~ epred1_1(X13)
| ~ r1(esk22_1(X13),X111)
| p19(X111)
| ~ p20(X111) )
& ( ~ epred1_1(X13)
| ~ r1(esk23_1(X13),X110)
| ~ p20(X110)
| p21(X110) )
& ( ~ epred1_1(X13)
| ~ r1(esk23_1(X13),X110)
| p20(X110)
| ~ p21(X110) )
& ( ~ epred1_1(X13)
| ~ r1(esk24_1(X13),X109)
| ~ p21(X109)
| p22(X109) )
& ( ~ epred1_1(X13)
| ~ r1(esk24_1(X13),X109)
| p21(X109)
| ~ p22(X109) )
& ( ~ epred1_1(X13)
| ~ r1(esk25_1(X13),X108)
| ~ p22(X108)
| p23(X108) )
& ( ~ epred1_1(X13)
| ~ r1(esk25_1(X13),X108)
| p22(X108)
| ~ p23(X108) )
& ( ~ epred1_1(X13)
| ~ r1(esk26_1(X13),X107)
| ~ p23(X107)
| p24(X107) )
& ( ~ epred1_1(X13)
| ~ r1(esk26_1(X13),X107)
| p23(X107)
| ~ p24(X107) )
& ( ~ epred1_1(X13)
| ~ r1(esk27_1(X13),X106)
| ~ p24(X106)
| p25(X106) )
& ( ~ epred1_1(X13)
| ~ r1(esk27_1(X13),X106)
| p24(X106)
| ~ p25(X106) )
& ( ~ epred1_1(X13)
| ~ r1(esk28_1(X13),X105)
| ~ p25(X105)
| p26(X105) )
& ( ~ epred1_1(X13)
| ~ r1(esk28_1(X13),X105)
| p25(X105)
| ~ p26(X105) )
& ( ~ epred1_1(X13)
| ~ r1(esk29_1(X13),X104)
| ~ p26(X104)
| p27(X104) )
& ( ~ epred1_1(X13)
| ~ r1(esk29_1(X13),X104)
| p26(X104)
| ~ p27(X104) )
& ( ~ epred1_1(X13)
| ~ r1(esk30_1(X13),X103)
| ~ p27(X103)
| p28(X103) )
& ( ~ epred1_1(X13)
| ~ r1(esk30_1(X13),X103)
| p27(X103)
| ~ p28(X103) )
& ( ~ epred1_1(X13)
| ~ r1(esk31_1(X13),X102)
| ~ p28(X102)
| p29(X102) )
& ( ~ epred1_1(X13)
| ~ r1(esk31_1(X13),X102)
| p28(X102)
| ~ p29(X102) )
& ( ~ epred1_1(X13)
| ~ r1(esk32_1(X13),X101)
| ~ p29(X101)
| p30(X101) )
& ( ~ epred1_1(X13)
| ~ r1(esk32_1(X13),X101)
| p29(X101)
| ~ p30(X101) )
& ( ~ epred1_1(X13)
| ~ r1(esk33_1(X13),X100)
| ~ p30(X100)
| p31(X100) )
& ( ~ epred1_1(X13)
| ~ r1(esk33_1(X13),X100)
| p30(X100)
| ~ p31(X100) )
& ( ~ epred1_1(X13)
| ~ r1(esk34_1(X13),X99)
| ~ p31(X99)
| p32(X99) )
& ( ~ epred1_1(X13)
| ~ r1(esk34_1(X13),X99)
| p31(X99)
| ~ p32(X99) )
& ( ~ epred1_1(X13)
| ~ r1(esk35_1(X13),X98)
| ~ p32(X98)
| p33(X98) )
& ( ~ epred1_1(X13)
| ~ r1(esk35_1(X13),X98)
| p32(X98)
| ~ p33(X98) )
& ( ~ epred1_1(X13)
| ~ r1(esk36_1(X13),X97)
| ~ p33(X97)
| p34(X97) )
& ( ~ epred1_1(X13)
| ~ r1(esk36_1(X13),X97)
| p33(X97)
| ~ p34(X97) )
& ( ~ epred1_1(X13)
| ~ r1(esk37_1(X13),X96)
| ~ p34(X96)
| p35(X96) )
& ( ~ epred1_1(X13)
| ~ r1(esk37_1(X13),X96)
| p34(X96)
| ~ p35(X96) )
& ( ~ epred1_1(X13)
| ~ r1(esk38_1(X13),X95)
| ~ p35(X95)
| p36(X95) )
& ( ~ epred1_1(X13)
| ~ r1(esk38_1(X13),X95)
| p35(X95)
| ~ p36(X95) )
& ( ~ epred1_1(X13)
| ~ r1(esk39_1(X13),X94)
| ~ p36(X94)
| p37(X94) )
& ( ~ epred1_1(X13)
| ~ r1(esk39_1(X13),X94)
| p36(X94)
| ~ p37(X94) )
& ( ~ epred1_1(X13)
| ~ r1(esk40_1(X13),X93)
| ~ p37(X93)
| p38(X93) )
& ( ~ epred1_1(X13)
| ~ r1(esk40_1(X13),X93)
| p37(X93)
| ~ p38(X93) )
& ( ~ epred1_1(X13)
| ~ r1(esk41_1(X13),X92)
| ~ p38(X92)
| p39(X92) )
& ( ~ epred1_1(X13)
| ~ r1(esk41_1(X13),X92)
| p38(X92)
| ~ p39(X92) )
& ( ~ epred1_1(X13)
| ~ r1(esk42_1(X13),X91)
| ~ p39(X91)
| p40(X91) )
& ( ~ epred1_1(X13)
| ~ r1(esk42_1(X13),X91)
| p39(X91)
| ~ p40(X91) )
& ( ~ epred1_1(X13)
| ~ r1(esk43_1(X13),X90)
| ~ p40(X90)
| p41(X90) )
& ( ~ epred1_1(X13)
| ~ r1(esk43_1(X13),X90)
| p40(X90)
| ~ p41(X90) )
& ( ~ epred1_1(X13)
| ~ r1(esk44_1(X13),X89)
| ~ p41(X89)
| p42(X89) )
& ( ~ epred1_1(X13)
| ~ r1(esk44_1(X13),X89)
| p41(X89)
| ~ p42(X89) )
& ( ~ epred1_1(X13)
| ~ r1(esk45_1(X13),X88)
| ~ p42(X88)
| p43(X88) )
& ( ~ epred1_1(X13)
| ~ r1(esk45_1(X13),X88)
| p42(X88)
| ~ p43(X88) )
& ( ~ epred1_1(X13)
| ~ r1(esk46_1(X13),X87)
| ~ p43(X87)
| p44(X87) )
& ( ~ epred1_1(X13)
| ~ r1(esk46_1(X13),X87)
| p43(X87)
| ~ p44(X87) )
& ( ~ epred1_1(X13)
| ~ r1(esk47_1(X13),X86)
| ~ p44(X86)
| p45(X86) )
& ( ~ epred1_1(X13)
| ~ r1(esk47_1(X13),X86)
| p44(X86)
| ~ p45(X86) )
& ( ~ epred1_1(X13)
| ~ r1(esk48_1(X13),X85)
| ~ p45(X85)
| p46(X85) )
& ( ~ epred1_1(X13)
| ~ r1(esk48_1(X13),X85)
| p45(X85)
| ~ p46(X85) )
& ( ~ epred1_1(X13)
| ~ r1(esk49_1(X13),X84)
| ~ p46(X84)
| p47(X84) )
& ( ~ epred1_1(X13)
| ~ r1(esk49_1(X13),X84)
| p46(X84)
| ~ p47(X84) )
& ( ~ epred1_1(X13)
| ~ r1(esk50_1(X13),X83)
| ~ p47(X83)
| p48(X83) )
& ( ~ epred1_1(X13)
| ~ r1(esk50_1(X13),X83)
| p47(X83)
| ~ p48(X83) )
& ( ~ epred1_1(X13)
| ~ r1(esk51_1(X13),X82)
| ~ p48(X82)
| p49(X82) )
& ( ~ epred1_1(X13)
| ~ r1(esk51_1(X13),X82)
| p48(X82)
| ~ p49(X82) )
& ( ~ epred1_1(X13)
| ~ r1(esk52_1(X13),X81)
| ~ p49(X81)
| p50(X81) )
& ( ~ epred1_1(X13)
| ~ r1(esk52_1(X13),X81)
| p49(X81)
| ~ p50(X81) )
& ( ~ epred1_1(X13)
| ~ r1(esk53_1(X13),X80)
| ~ p50(X80)
| p51(X80) )
& ( ~ epred1_1(X13)
| ~ r1(esk53_1(X13),X80)
| p50(X80)
| ~ p51(X80) )
& ( ~ epred1_1(X13)
| ~ r1(esk54_1(X13),X79)
| ~ p51(X79)
| p52(X79) )
& ( ~ epred1_1(X13)
| ~ r1(esk54_1(X13),X79)
| p51(X79)
| ~ p52(X79) )
& ( ~ epred1_1(X13)
| ~ r1(esk55_1(X13),X78)
| ~ p52(X78)
| p53(X78) )
& ( ~ epred1_1(X13)
| ~ r1(esk55_1(X13),X78)
| p52(X78)
| ~ p53(X78) )
& ( ~ epred1_1(X13)
| ~ r1(esk56_1(X13),X77)
| ~ p53(X77)
| p54(X77) )
& ( ~ epred1_1(X13)
| ~ r1(esk56_1(X13),X77)
| p53(X77)
| ~ p54(X77) )
& ( ~ epred1_1(X13)
| ~ r1(esk57_1(X13),X76)
| ~ p54(X76)
| p55(X76) )
& ( ~ epred1_1(X13)
| ~ r1(esk57_1(X13),X76)
| p54(X76)
| ~ p55(X76) )
& ( ~ epred1_1(X13)
| ~ r1(esk58_1(X13),X75)
| ~ p55(X75)
| p56(X75) )
& ( ~ epred1_1(X13)
| ~ r1(esk58_1(X13),X75)
| p55(X75)
| ~ p56(X75) )
& ( ~ epred1_1(X13)
| ~ r1(esk59_1(X13),X74)
| ~ p56(X74)
| p57(X74) )
& ( ~ epred1_1(X13)
| ~ r1(esk59_1(X13),X74)
| p56(X74)
| ~ p57(X74) )
& ( ~ epred1_1(X13)
| ~ r1(esk60_1(X13),X73)
| ~ p57(X73)
| p58(X73) )
& ( ~ epred1_1(X13)
| ~ r1(esk60_1(X13),X73)
| p57(X73)
| ~ p58(X73) )
& ( ~ epred1_1(X13)
| ~ r1(esk61_1(X13),X72)
| ~ p58(X72)
| p59(X72) )
& ( ~ epred1_1(X13)
| ~ r1(esk61_1(X13),X72)
| p58(X72)
| ~ p59(X72) )
& ( ~ epred1_1(X13)
| $true )
& ( ~ epred1_1(X13)
| r1(esk61_1(X13),esk62_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk60_1(X13),esk61_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk59_1(X13),esk60_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk58_1(X13),esk59_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk57_1(X13),esk58_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk56_1(X13),esk57_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk55_1(X13),esk56_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk54_1(X13),esk55_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk53_1(X13),esk54_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk52_1(X13),esk53_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk51_1(X13),esk52_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk50_1(X13),esk51_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk49_1(X13),esk50_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk48_1(X13),esk49_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk47_1(X13),esk48_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk46_1(X13),esk47_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk45_1(X13),esk46_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk44_1(X13),esk45_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk43_1(X13),esk44_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk42_1(X13),esk43_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk41_1(X13),esk42_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk40_1(X13),esk41_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk39_1(X13),esk40_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk38_1(X13),esk39_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk37_1(X13),esk38_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk36_1(X13),esk37_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk35_1(X13),esk36_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk34_1(X13),esk35_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk33_1(X13),esk34_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk32_1(X13),esk33_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk31_1(X13),esk32_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk30_1(X13),esk31_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk29_1(X13),esk30_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk28_1(X13),esk29_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk27_1(X13),esk28_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk26_1(X13),esk27_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk25_1(X13),esk26_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk24_1(X13),esk25_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk23_1(X13),esk24_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk22_1(X13),esk23_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk21_1(X13),esk22_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk20_1(X13),esk21_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk19_1(X13),esk20_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk18_1(X13),esk19_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk17_1(X13),esk18_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk16_1(X13),esk17_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk15_1(X13),esk16_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk14_1(X13),esk15_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk13_1(X13),esk14_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk12_1(X13),esk13_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk11_1(X13),esk12_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk10_1(X13),esk11_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk9_1(X13),esk10_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk8_1(X13),esk9_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk7_1(X13),esk8_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk6_1(X13),esk7_1(X13)) )
& ( ~ epred1_1(X13)
| r1(esk5_1(X13),esk6_1(X13)) )
& ( ~ epred1_1(X13)
| r1(X13,esk5_1(X13)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).
fof(c_0_6,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ~ ! [X1] :
( epred1_1(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ p60(X2)
| ~ r1(X1,X2) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4]),c_0_2]) ).
cnf(c_0_7,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p2(X1)
| p1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( ~ epred1_1(X1)
| r1(X1,esk64_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ~ epred1_1(X1)
| p2(esk64_1(X1))
| p1(esk64_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_10,negated_conjecture,
! [X12] :
( ( epred1_1(X12)
| ~ r1(esk4_0,X12) )
& r1(esk1_0,esk4_0)
& p1(esk3_0)
& r1(esk2_0,esk3_0)
& p60(esk2_0)
& r1(esk1_0,esk2_0) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
fof(c_0_11,plain,
! [X4] : r1(X4,X4),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_12,plain,
( ~ epred1_1(X1)
| ~ p1(esk64_1(X1))
| ~ p2(esk64_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,plain,
( ~ epred1_1(X1)
| p1(esk64_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( ~ r1(esk4_0,X1)
| epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( ~ epred1_1(X2)
| ~ r1(X2,X1)
| ~ p1(X1)
| p2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,plain,
( ~ p2(esk64_1(X1))
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
epred1_1(esk4_0),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
~ epred1_1(X1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_8]),c_0_13]),c_0_17]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_18,c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL686+1.020 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 00:56:20 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.47 % Version: 3.5.1
% 0.38/0.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.38/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.38/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.38/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.38/0.47 % Starting sh5l with 300s (1) cores
% 0.38/0.47 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4009545 completed with status 0
% 0.38/0.47 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.38/0.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.38/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.38/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.38/0.47 % No SInE strategy applied
% 0.38/0.47 % Search class: FGHNF-FSLS11-SFFFFFNN
% 0.38/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.38/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.38/0.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.38/0.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.38/0.47 % Starting new_bool_3 with 136s (1) cores
% 0.38/0.47 % Starting new_bool_1 with 136s (1) cores
% 0.38/0.47 % SubtermCWHack with pid 4009554 completed with status 0
% 0.38/0.47 % Result found by SubtermCWHack
% 0.38/0.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.38/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.38/0.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.38/0.47 % No SInE strategy applied
% 0.38/0.47 % Search class: FGHNF-FSLS11-SFFFFFNN
% 0.38/0.47 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.38/0.47 % Starting SubtermCWHack with 136s (1) cores
% 0.38/0.47 % Preprocessing time : 0.002 s
% 0.38/0.47
% 0.38/0.47 % Proof found!
% 0.38/0.47 % SZS status Theorem
% 0.38/0.47 % SZS output start CNFRefutation
% See solution above
% 0.38/0.47 % Parsed axioms : 3
% 0.38/0.47 % Removed by relevancy pruning/SinE : 0
% 0.38/0.47 % Initial clauses : 302
% 0.38/0.47 % Removed in clause preprocessing : 1
% 0.38/0.47 % Initial clauses in saturation : 301
% 0.38/0.47 % Processed clauses : 268
% 0.38/0.47 % ...of these trivial : 0
% 0.38/0.47 % ...subsumed : 0
% 0.38/0.47 % ...remaining for further processing : 268
% 0.38/0.47 % Other redundant clauses eliminated : 0
% 0.38/0.47 % Clauses deleted for lack of memory : 0
% 0.38/0.47 % Backward-subsumed : 256
% 0.38/0.47 % Backward-rewritten : 0
% 0.38/0.47 % Generated clauses : 298
% 0.38/0.47 % ...of the previous two non-redundant : 221
% 0.38/0.47 % ...aggressively subsumed : 0
% 0.38/0.47 % Contextual simplify-reflections : 4
% 0.38/0.47 % Paramodulations : 294
% 0.38/0.47 % Factorizations : 0
% 0.38/0.47 % NegExts : 0
% 0.38/0.47 % Equation resolutions : 0
% 0.38/0.47 % Disequality decompositions : 0
% 0.38/0.47 % Total rewrite steps : 7
% 0.38/0.47 % ...of those cached : 5
% 0.38/0.47 % Propositional unsat checks : 0
% 0.38/0.47 % Propositional check models : 0
% 0.38/0.47 % Propositional check unsatisfiable : 0
% 0.38/0.47 % Propositional clauses : 0
% 0.38/0.47 % Propositional clauses after purity: 0
% 0.38/0.47 % Propositional unsat core size : 0
% 0.38/0.47 % Propositional preprocessing time : 0.000
% 0.38/0.47 % Propositional encoding time : 0.000
% 0.38/0.47 % Propositional solver time : 0.000
% 0.38/0.47 % Success case prop preproc time : 0.000
% 0.38/0.47 % Success case prop encoding time : 0.000
% 0.38/0.47 % Success case prop solver time : 0.000
% 0.38/0.47 % Current number of processed clauses : 8
% 0.38/0.47 % Positive orientable unit clauses : 6
% 0.38/0.47 % Positive unorientable unit clauses: 0
% 0.38/0.47 % Negative unit clauses : 1
% 0.38/0.47 % Non-unit-clauses : 1
% 0.38/0.47 % Current number of unprocessed clauses: 252
% 0.38/0.47 % ...number of literals in the above : 994
% 0.38/0.47 % Current number of archived formulas : 0
% 0.38/0.47 % Current number of archived clauses : 260
% 0.38/0.47 % Clause-clause subsumption calls (NU) : 7797
% 0.38/0.47 % Rec. Clause-clause subsumption calls : 5251
% 0.38/0.47 % Non-unit clause-clause subsumptions : 110
% 0.38/0.47 % Unit Clause-clause subsumption calls : 156
% 0.38/0.47 % Rewrite failures with RHS unbound : 0
% 0.38/0.47 % BW rewrite match attempts : 3
% 0.38/0.47 % BW rewrite match successes : 0
% 0.38/0.47 % Condensation attempts : 0
% 0.38/0.47 % Condensation successes : 0
% 0.38/0.47 % Termbank termtop insertions : 28922
% 0.38/0.47 % Search garbage collected termcells : 5377
% 0.38/0.47
% 0.38/0.47 % -------------------------------------------------
% 0.38/0.47 % User time : 0.028 s
% 0.38/0.47 % System time : 0.007 s
% 0.38/0.47 % Total time : 0.035 s
% 0.38/0.47 % Maximum resident set size: 5048 pages
% 0.38/0.47
% 0.38/0.47 % -------------------------------------------------
% 0.38/0.47 % User time : 0.071 s
% 0.38/0.47 % System time : 0.020 s
% 0.38/0.47 % Total time : 0.091 s
% 0.38/0.47 % Maximum resident set size: 4864 pages
% 0.38/0.47 % E exiting
%------------------------------------------------------------------------------