%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LCL686+1.010 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 10:16:59 EDT 2022
% Result : Theorem 0.27s 1.45s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 1356 ( 0 equ)
% Maximal formula atoms : 454 ( 67 avg)
% Number of connectives : 2368 (1032 ~; 851 |; 483 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 175 ( 26 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 2 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 4 con; 0-1 aty)
% Number of variables : 230 ( 1 sgn 216 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ p30(X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ $true )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p29(X1)
& ~ p28(X1) )
| ( ~ p29(X1)
& p28(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p28(X2)
& ~ p27(X2) )
| ( ~ p28(X2)
& p27(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p27(X1)
& ~ p26(X1) )
| ( ~ p27(X1)
& p26(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p26(X2)
& ~ p25(X2) )
| ( ~ p26(X2)
& p25(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p25(X1)
& ~ p24(X1) )
| ( ~ p25(X1)
& p24(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p24(X2)
& ~ p23(X2) )
| ( ~ p24(X2)
& p23(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p23(X1)
& ~ p22(X1) )
| ( ~ p23(X1)
& p22(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p22(X2)
& ~ p21(X2) )
| ( ~ p22(X2)
& p21(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p21(X1)
& ~ p20(X1) )
| ( ~ p21(X1)
& p20(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p20(X2)
& ~ p19(X2) )
| ( ~ p20(X2)
& p19(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p19(X1)
& ~ p18(X1) )
| ( ~ p19(X1)
& p18(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p18(X2)
& ~ p17(X2) )
| ( ~ p18(X2)
& p17(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p17(X1)
& ~ p16(X1) )
| ( ~ p17(X1)
& p16(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p16(X2)
& ~ p15(X2) )
| ( ~ p16(X2)
& p15(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p15(X1)
& ~ p14(X1) )
| ( ~ p15(X1)
& p14(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p14(X2)
& ~ p13(X2) )
| ( ~ p14(X2)
& p13(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p13(X1)
& ~ p12(X1) )
| ( ~ p13(X1)
& p12(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p12(X2)
& ~ p11(X2) )
| ( ~ p12(X2)
& p11(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p11(X1)
& ~ p10(X1) )
| ( ~ p11(X1)
& p10(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p10(X2)
& ~ p9(X2) )
| ( ~ p10(X2)
& p9(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p9(X1)
& ~ p8(X1) )
| ( ~ p9(X1)
& p8(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p8(X2)
& ~ p7(X2) )
| ( ~ p8(X2)
& p7(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p7(X1)
& ~ p6(X1) )
| ( ~ p7(X1)
& p6(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p6(X2)
& ~ p5(X2) )
| ( ~ p6(X2)
& p5(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p5(X1)
& ~ p4(X1) )
| ( ~ p5(X1)
& p4(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p4(X2)
& ~ p3(X2) )
| ( ~ p4(X2)
& p3(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p3(X1)
& ~ p2(X1) )
| ( ~ p3(X1)
& p2(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p2(X2)
& ~ p1(X2) )
| ( ~ p2(X2)
& p1(X2) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p30(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ( ~ p28(X2)
& ~ p29(X2) )
| ( p29(X2)
& p28(X2) )
| ( ~ p27(X2)
& ~ p28(X2) )
| ( p28(X2)
& p27(X2) )
| ( ~ p26(X2)
& ~ p27(X2) )
| ( p27(X2)
& p26(X2) )
| ( ~ p25(X2)
& ~ p26(X2) )
| ( p26(X2)
& p25(X2) )
| ( ~ p24(X2)
& ~ p25(X2) )
| ( p25(X2)
& p24(X2) )
| ( ~ p23(X2)
& ~ p24(X2) )
| ( p24(X2)
& p23(X2) )
| ( ~ p22(X2)
& ~ p23(X2) )
| ( p23(X2)
& p22(X2) )
| ( ~ p21(X2)
& ~ p22(X2) )
| ( p22(X2)
& p21(X2) )
| ( ~ p20(X2)
& ~ p21(X2) )
| ( p21(X2)
& p20(X2) )
| ( ~ p19(X2)
& ~ p20(X2) )
| ( p20(X2)
& p19(X2) )
| ( ~ p18(X2)
& ~ p19(X2) )
| ( p19(X2)
& p18(X2) )
| ( ~ p17(X2)
& ~ p18(X2) )
| ( p18(X2)
& p17(X2) )
| ( ~ p16(X2)
& ~ p17(X2) )
| ( p17(X2)
& p16(X2) )
| ( ~ p15(X2)
& ~ p16(X2) )
| ( p16(X2)
& p15(X2) )
| ( ~ p14(X2)
& ~ p15(X2) )
| ( p15(X2)
& p14(X2) )
| ( ~ p13(X2)
& ~ p14(X2) )
| ( p14(X2)
& p13(X2) )
| ( ~ p12(X2)
& ~ p13(X2) )
| ( p13(X2)
& p12(X2) )
| ( ~ p11(X2)
& ~ p12(X2) )
| ( p12(X2)
& p11(X2) )
| ( ~ p10(X2)
& ~ p11(X2) )
| ( p11(X2)
& p10(X2) )
| ( ~ p9(X2)
& ~ p10(X2) )
| ( p10(X2)
& p9(X2) )
| ( ~ p8(X2)
& ~ p9(X2) )
| ( p9(X2)
& p8(X2) )
| ( ~ p7(X2)
& ~ p8(X2) )
| ( p8(X2)
& p7(X2) )
| ( ~ p6(X2)
& ~ p7(X2) )
| ( p7(X2)
& p6(X2) )
| ( ~ p5(X2)
& ~ p6(X2) )
| ( p6(X2)
& p5(X2) )
| ( ~ p4(X2)
& ~ p5(X2) )
| ( p5(X2)
& p4(X2) )
| ( ~ p3(X2)
& ~ p4(X2) )
| ( p4(X2)
& p3(X2) )
| ( ~ p2(X2)
& ~ p3(X2) )
| ( p3(X2)
& p2(X2) )
| ( ~ p1(X2)
& ~ p2(X2) )
| ( p2(X2)
& p1(X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',reflexivity) ).
fof(c_0_2,plain,
! [X1] :
( epred1_1(X1)
<=> ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ $true )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p29(X1)
& ~ p28(X1) )
| ( ~ p29(X1)
& p28(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p28(X2)
& ~ p27(X2) )
| ( ~ p28(X2)
& p27(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p27(X1)
& ~ p26(X1) )
| ( ~ p27(X1)
& p26(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p26(X2)
& ~ p25(X2) )
| ( ~ p26(X2)
& p25(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p25(X1)
& ~ p24(X1) )
| ( ~ p25(X1)
& p24(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p24(X2)
& ~ p23(X2) )
| ( ~ p24(X2)
& p23(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p23(X1)
& ~ p22(X1) )
| ( ~ p23(X1)
& p22(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p22(X2)
& ~ p21(X2) )
| ( ~ p22(X2)
& p21(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p21(X1)
& ~ p20(X1) )
| ( ~ p21(X1)
& p20(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p20(X2)
& ~ p19(X2) )
| ( ~ p20(X2)
& p19(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p19(X1)
& ~ p18(X1) )
| ( ~ p19(X1)
& p18(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p18(X2)
& ~ p17(X2) )
| ( ~ p18(X2)
& p17(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p17(X1)
& ~ p16(X1) )
| ( ~ p17(X1)
& p16(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p16(X2)
& ~ p15(X2) )
| ( ~ p16(X2)
& p15(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p15(X1)
& ~ p14(X1) )
| ( ~ p15(X1)
& p14(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p14(X2)
& ~ p13(X2) )
| ( ~ p14(X2)
& p13(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p13(X1)
& ~ p12(X1) )
| ( ~ p13(X1)
& p12(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p12(X2)
& ~ p11(X2) )
| ( ~ p12(X2)
& p11(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p11(X1)
& ~ p10(X1) )
| ( ~ p11(X1)
& p10(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p10(X2)
& ~ p9(X2) )
| ( ~ p10(X2)
& p9(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p9(X1)
& ~ p8(X1) )
| ( ~ p9(X1)
& p8(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p8(X2)
& ~ p7(X2) )
| ( ~ p8(X2)
& p7(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p7(X1)
& ~ p6(X1) )
| ( ~ p7(X1)
& p6(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p6(X2)
& ~ p5(X2) )
| ( ~ p6(X2)
& p5(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p5(X1)
& ~ p4(X1) )
| ( ~ p5(X1)
& p4(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p4(X2)
& ~ p3(X2) )
| ( ~ p4(X2)
& p3(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p3(X1)
& ~ p2(X1) )
| ( ~ p3(X1)
& p2(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p2(X2)
& ~ p1(X2) )
| ( ~ p2(X2)
& p1(X2) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p30(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ( ~ p28(X2)
& ~ p29(X2) )
| ( p29(X2)
& p28(X2) )
| ( ~ p27(X2)
& ~ p28(X2) )
| ( p28(X2)
& p27(X2) )
| ( ~ p26(X2)
& ~ p27(X2) )
| ( p27(X2)
& p26(X2) )
| ( ~ p25(X2)
& ~ p26(X2) )
| ( p26(X2)
& p25(X2) )
| ( ~ p24(X2)
& ~ p25(X2) )
| ( p25(X2)
& p24(X2) )
| ( ~ p23(X2)
& ~ p24(X2) )
| ( p24(X2)
& p23(X2) )
| ( ~ p22(X2)
& ~ p23(X2) )
| ( p23(X2)
& p22(X2) )
| ( ~ p21(X2)
& ~ p22(X2) )
| ( p22(X2)
& p21(X2) )
| ( ~ p20(X2)
& ~ p21(X2) )
| ( p21(X2)
& p20(X2) )
| ( ~ p19(X2)
& ~ p20(X2) )
| ( p20(X2)
& p19(X2) )
| ( ~ p18(X2)
& ~ p19(X2) )
| ( p19(X2)
& p18(X2) )
| ( ~ p17(X2)
& ~ p18(X2) )
| ( p18(X2)
& p17(X2) )
| ( ~ p16(X2)
& ~ p17(X2) )
| ( p17(X2)
& p16(X2) )
| ( ~ p15(X2)
& ~ p16(X2) )
| ( p16(X2)
& p15(X2) )
| ( ~ p14(X2)
& ~ p15(X2) )
| ( p15(X2)
& p14(X2) )
| ( ~ p13(X2)
& ~ p14(X2) )
| ( p14(X2)
& p13(X2) )
| ( ~ p12(X2)
& ~ p13(X2) )
| ( p13(X2)
& p12(X2) )
| ( ~ p11(X2)
& ~ p12(X2) )
| ( p12(X2)
& p11(X2) )
| ( ~ p10(X2)
& ~ p11(X2) )
| ( p11(X2)
& p10(X2) )
| ( ~ p9(X2)
& ~ p10(X2) )
| ( p10(X2)
& p9(X2) )
| ( ~ p8(X2)
& ~ p9(X2) )
| ( p9(X2)
& p8(X2) )
| ( ~ p7(X2)
& ~ p8(X2) )
| ( p8(X2)
& p7(X2) )
| ( ~ p6(X2)
& ~ p7(X2) )
| ( p7(X2)
& p6(X2) )
| ( ~ p5(X2)
& ~ p6(X2) )
| ( p6(X2)
& p5(X2) )
| ( ~ p4(X2)
& ~ p5(X2) )
| ( p5(X2)
& p4(X2) )
| ( ~ p3(X2)
& ~ p4(X2) )
| ( p4(X2)
& p3(X2) )
| ( ~ p2(X2)
& ~ p3(X2) )
| ( p3(X2)
& p2(X2) )
| ( ~ p1(X2)
& ~ p2(X2) )
| ( p2(X2)
& p1(X2) ) ) ) ),
introduced(definition) ).
fof(c_0_3,plain,
! [X1] :
( epred1_1(X1)
=> ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ $true )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p29(X1)
& ~ p28(X1) )
| ( ~ p29(X1)
& p28(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p28(X2)
& ~ p27(X2) )
| ( ~ p28(X2)
& p27(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p27(X1)
& ~ p26(X1) )
| ( ~ p27(X1)
& p26(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p26(X2)
& ~ p25(X2) )
| ( ~ p26(X2)
& p25(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p25(X1)
& ~ p24(X1) )
| ( ~ p25(X1)
& p24(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p24(X2)
& ~ p23(X2) )
| ( ~ p24(X2)
& p23(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p23(X1)
& ~ p22(X1) )
| ( ~ p23(X1)
& p22(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p22(X2)
& ~ p21(X2) )
| ( ~ p22(X2)
& p21(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p21(X1)
& ~ p20(X1) )
| ( ~ p21(X1)
& p20(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p20(X2)
& ~ p19(X2) )
| ( ~ p20(X2)
& p19(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p19(X1)
& ~ p18(X1) )
| ( ~ p19(X1)
& p18(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p18(X2)
& ~ p17(X2) )
| ( ~ p18(X2)
& p17(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p17(X1)
& ~ p16(X1) )
| ( ~ p17(X1)
& p16(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p16(X2)
& ~ p15(X2) )
| ( ~ p16(X2)
& p15(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p15(X1)
& ~ p14(X1) )
| ( ~ p15(X1)
& p14(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p14(X2)
& ~ p13(X2) )
| ( ~ p14(X2)
& p13(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p13(X1)
& ~ p12(X1) )
| ( ~ p13(X1)
& p12(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p12(X2)
& ~ p11(X2) )
| ( ~ p12(X2)
& p11(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p11(X1)
& ~ p10(X1) )
| ( ~ p11(X1)
& p10(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p10(X2)
& ~ p9(X2) )
| ( ~ p10(X2)
& p9(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p9(X1)
& ~ p8(X1) )
| ( ~ p9(X1)
& p8(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p8(X2)
& ~ p7(X2) )
| ( ~ p8(X2)
& p7(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p7(X1)
& ~ p6(X1) )
| ( ~ p7(X1)
& p6(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p6(X2)
& ~ p5(X2) )
| ( ~ p6(X2)
& p5(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p5(X1)
& ~ p4(X1) )
| ( ~ p5(X1)
& p4(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p4(X2)
& ~ p3(X2) )
| ( ~ p4(X2)
& p3(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p3(X1)
& ~ p2(X1) )
| ( ~ p3(X1)
& p2(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p2(X2)
& ~ p1(X2) )
| ( ~ p2(X2)
& p1(X2) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| p30(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ( ~ p28(X2)
& ~ p29(X2) )
| ( p29(X2)
& p28(X2) )
| ( ~ p27(X2)
& ~ p28(X2) )
| ( p28(X2)
& p27(X2) )
| ( ~ p26(X2)
& ~ p27(X2) )
| ( p27(X2)
& p26(X2) )
| ( ~ p25(X2)
& ~ p26(X2) )
| ( p26(X2)
& p25(X2) )
| ( ~ p24(X2)
& ~ p25(X2) )
| ( p25(X2)
& p24(X2) )
| ( ~ p23(X2)
& ~ p24(X2) )
| ( p24(X2)
& p23(X2) )
| ( ~ p22(X2)
& ~ p23(X2) )
| ( p23(X2)
& p22(X2) )
| ( ~ p21(X2)
& ~ p22(X2) )
| ( p22(X2)
& p21(X2) )
| ( ~ p20(X2)
& ~ p21(X2) )
| ( p21(X2)
& p20(X2) )
| ( ~ p19(X2)
& ~ p20(X2) )
| ( p20(X2)
& p19(X2) )
| ( ~ p18(X2)
& ~ p19(X2) )
| ( p19(X2)
& p18(X2) )
| ( ~ p17(X2)
& ~ p18(X2) )
| ( p18(X2)
& p17(X2) )
| ( ~ p16(X2)
& ~ p17(X2) )
| ( p17(X2)
& p16(X2) )
| ( ~ p15(X2)
& ~ p16(X2) )
| ( p16(X2)
& p15(X2) )
| ( ~ p14(X2)
& ~ p15(X2) )
| ( p15(X2)
& p14(X2) )
| ( ~ p13(X2)
& ~ p14(X2) )
| ( p14(X2)
& p13(X2) )
| ( ~ p12(X2)
& ~ p13(X2) )
| ( p13(X2)
& p12(X2) )
| ( ~ p11(X2)
& ~ p12(X2) )
| ( p12(X2)
& p11(X2) )
| ( ~ p10(X2)
& ~ p11(X2) )
| ( p11(X2)
& p10(X2) )
| ( ~ p9(X2)
& ~ p10(X2) )
| ( p10(X2)
& p9(X2) )
| ( ~ p8(X2)
& ~ p9(X2) )
| ( p9(X2)
& p8(X2) )
| ( ~ p7(X2)
& ~ p8(X2) )
| ( p8(X2)
& p7(X2) )
| ( ~ p6(X2)
& ~ p7(X2) )
| ( p7(X2)
& p6(X2) )
| ( ~ p5(X2)
& ~ p6(X2) )
| ( p6(X2)
& p5(X2) )
| ( ~ p4(X2)
& ~ p5(X2) )
| ( p5(X2)
& p4(X2) )
| ( ~ p3(X2)
& ~ p4(X2) )
| ( p4(X2)
& p3(X2) )
| ( ~ p2(X2)
& ~ p3(X2) )
| ( p3(X2)
& p2(X2) )
| ( ~ p1(X2)
& ~ p2(X2) )
| ( p2(X2)
& p1(X2) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
fof(c_0_4,plain,
! [X3,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59] :
( ( r1(X3,esk5_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk5_1(X3),esk6_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk6_1(X3),esk7_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk7_1(X3),esk8_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk8_1(X3),esk9_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk9_1(X3),esk10_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk10_1(X3),esk11_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk11_1(X3),esk12_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk12_1(X3),esk13_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk13_1(X3),esk14_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk14_1(X3),esk15_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk15_1(X3),esk16_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk16_1(X3),esk17_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk17_1(X3),esk18_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk18_1(X3),esk19_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk19_1(X3),esk20_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk20_1(X3),esk21_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk21_1(X3),esk22_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk22_1(X3),esk23_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk23_1(X3),esk24_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk24_1(X3),esk25_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk25_1(X3),esk26_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk26_1(X3),esk27_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk27_1(X3),esk28_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk28_1(X3),esk29_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk29_1(X3),esk30_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk30_1(X3),esk31_1(X3))
| ~ epred1_1(X3) )
& ( r1(esk31_1(X3),esk32_1(X3))
| ~ epred1_1(X3) )
& ( ~ p29(X32)
| p28(X32)
| ~ r1(esk31_1(X3),X32)
| ~ epred1_1(X3) )
& ( p29(X32)
| ~ p28(X32)
| ~ r1(esk31_1(X3),X32)
| ~ epred1_1(X3) )
& ( ~ p28(X33)
| p27(X33)
| ~ r1(esk30_1(X3),X33)
| ~ epred1_1(X3) )
& ( p28(X33)
| ~ p27(X33)
| ~ r1(esk30_1(X3),X33)
| ~ epred1_1(X3) )
& ( ~ p27(X34)
| p26(X34)
| ~ r1(esk29_1(X3),X34)
| ~ epred1_1(X3) )
& ( p27(X34)
| ~ p26(X34)
| ~ r1(esk29_1(X3),X34)
| ~ epred1_1(X3) )
& ( ~ p26(X35)
| p25(X35)
| ~ r1(esk28_1(X3),X35)
| ~ epred1_1(X3) )
& ( p26(X35)
| ~ p25(X35)
| ~ r1(esk28_1(X3),X35)
| ~ epred1_1(X3) )
& ( ~ p25(X36)
| p24(X36)
| ~ r1(esk27_1(X3),X36)
| ~ epred1_1(X3) )
& ( p25(X36)
| ~ p24(X36)
| ~ r1(esk27_1(X3),X36)
| ~ epred1_1(X3) )
& ( ~ p24(X37)
| p23(X37)
| ~ r1(esk26_1(X3),X37)
| ~ epred1_1(X3) )
& ( p24(X37)
| ~ p23(X37)
| ~ r1(esk26_1(X3),X37)
| ~ epred1_1(X3) )
& ( ~ p23(X38)
| p22(X38)
| ~ r1(esk25_1(X3),X38)
| ~ epred1_1(X3) )
& ( p23(X38)
| ~ p22(X38)
| ~ r1(esk25_1(X3),X38)
| ~ epred1_1(X3) )
& ( ~ p22(X39)
| p21(X39)
| ~ r1(esk24_1(X3),X39)
| ~ epred1_1(X3) )
& ( p22(X39)
| ~ p21(X39)
| ~ r1(esk24_1(X3),X39)
| ~ epred1_1(X3) )
& ( ~ p21(X40)
| p20(X40)
| ~ r1(esk23_1(X3),X40)
| ~ epred1_1(X3) )
& ( p21(X40)
| ~ p20(X40)
| ~ r1(esk23_1(X3),X40)
| ~ epred1_1(X3) )
& ( ~ p20(X41)
| p19(X41)
| ~ r1(esk22_1(X3),X41)
| ~ epred1_1(X3) )
& ( p20(X41)
| ~ p19(X41)
| ~ r1(esk22_1(X3),X41)
| ~ epred1_1(X3) )
& ( ~ p19(X42)
| p18(X42)
| ~ r1(esk21_1(X3),X42)
| ~ epred1_1(X3) )
& ( p19(X42)
| ~ p18(X42)
| ~ r1(esk21_1(X3),X42)
| ~ epred1_1(X3) )
& ( ~ p18(X43)
| p17(X43)
| ~ r1(esk20_1(X3),X43)
| ~ epred1_1(X3) )
& ( p18(X43)
| ~ p17(X43)
| ~ r1(esk20_1(X3),X43)
| ~ epred1_1(X3) )
& ( ~ p17(X44)
| p16(X44)
| ~ r1(esk19_1(X3),X44)
| ~ epred1_1(X3) )
& ( p17(X44)
| ~ p16(X44)
| ~ r1(esk19_1(X3),X44)
| ~ epred1_1(X3) )
& ( ~ p16(X45)
| p15(X45)
| ~ r1(esk18_1(X3),X45)
| ~ epred1_1(X3) )
& ( p16(X45)
| ~ p15(X45)
| ~ r1(esk18_1(X3),X45)
| ~ epred1_1(X3) )
& ( ~ p15(X46)
| p14(X46)
| ~ r1(esk17_1(X3),X46)
| ~ epred1_1(X3) )
& ( p15(X46)
| ~ p14(X46)
| ~ r1(esk17_1(X3),X46)
| ~ epred1_1(X3) )
& ( ~ p14(X47)
| p13(X47)
| ~ r1(esk16_1(X3),X47)
| ~ epred1_1(X3) )
& ( p14(X47)
| ~ p13(X47)
| ~ r1(esk16_1(X3),X47)
| ~ epred1_1(X3) )
& ( ~ p13(X48)
| p12(X48)
| ~ r1(esk15_1(X3),X48)
| ~ epred1_1(X3) )
& ( p13(X48)
| ~ p12(X48)
| ~ r1(esk15_1(X3),X48)
| ~ epred1_1(X3) )
& ( ~ p12(X49)
| p11(X49)
| ~ r1(esk14_1(X3),X49)
| ~ epred1_1(X3) )
& ( p12(X49)
| ~ p11(X49)
| ~ r1(esk14_1(X3),X49)
| ~ epred1_1(X3) )
& ( ~ p11(X50)
| p10(X50)
| ~ r1(esk13_1(X3),X50)
| ~ epred1_1(X3) )
& ( p11(X50)
| ~ p10(X50)
| ~ r1(esk13_1(X3),X50)
| ~ epred1_1(X3) )
& ( ~ p10(X51)
| p9(X51)
| ~ r1(esk12_1(X3),X51)
| ~ epred1_1(X3) )
& ( p10(X51)
| ~ p9(X51)
| ~ r1(esk12_1(X3),X51)
| ~ epred1_1(X3) )
& ( ~ p9(X52)
| p8(X52)
| ~ r1(esk11_1(X3),X52)
| ~ epred1_1(X3) )
& ( p9(X52)
| ~ p8(X52)
| ~ r1(esk11_1(X3),X52)
| ~ epred1_1(X3) )
& ( ~ p8(X53)
| p7(X53)
| ~ r1(esk10_1(X3),X53)
| ~ epred1_1(X3) )
& ( p8(X53)
| ~ p7(X53)
| ~ r1(esk10_1(X3),X53)
| ~ epred1_1(X3) )
& ( ~ p7(X54)
| p6(X54)
| ~ r1(esk9_1(X3),X54)
| ~ epred1_1(X3) )
& ( p7(X54)
| ~ p6(X54)
| ~ r1(esk9_1(X3),X54)
| ~ epred1_1(X3) )
& ( ~ p6(X55)
| p5(X55)
| ~ r1(esk8_1(X3),X55)
| ~ epred1_1(X3) )
& ( p6(X55)
| ~ p5(X55)
| ~ r1(esk8_1(X3),X55)
| ~ epred1_1(X3) )
& ( ~ p5(X56)
| p4(X56)
| ~ r1(esk7_1(X3),X56)
| ~ epred1_1(X3) )
& ( p5(X56)
| ~ p4(X56)
| ~ r1(esk7_1(X3),X56)
| ~ epred1_1(X3) )
& ( ~ p4(X57)
| p3(X57)
| ~ r1(esk6_1(X3),X57)
| ~ epred1_1(X3) )
& ( p4(X57)
| ~ p3(X57)
| ~ r1(esk6_1(X3),X57)
| ~ epred1_1(X3) )
& ( ~ p3(X58)
| p2(X58)
| ~ r1(esk5_1(X3),X58)
| ~ epred1_1(X3) )
& ( p3(X58)
| ~ p2(X58)
| ~ r1(esk5_1(X3),X58)
| ~ epred1_1(X3) )
& ( ~ p2(X59)
| p1(X59)
| ~ r1(X3,X59)
| ~ epred1_1(X3) )
& ( p2(X59)
| ~ p1(X59)
| ~ r1(X3,X59)
| ~ epred1_1(X3) )
& ( r1(X3,esk33_1(X3))
| ~ epred1_1(X3) )
& ( ~ p30(esk33_1(X3))
| ~ epred1_1(X3) )
& ( r1(X3,esk34_1(X3))
| ~ epred1_1(X3) )
& ( p28(esk34_1(X3))
| p29(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p29(esk34_1(X3))
| ~ p28(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p27(esk34_1(X3))
| p28(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p28(esk34_1(X3))
| ~ p27(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p26(esk34_1(X3))
| p27(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p27(esk34_1(X3))
| ~ p26(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p25(esk34_1(X3))
| p26(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p26(esk34_1(X3))
| ~ p25(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p24(esk34_1(X3))
| p25(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p25(esk34_1(X3))
| ~ p24(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p23(esk34_1(X3))
| p24(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p24(esk34_1(X3))
| ~ p23(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p22(esk34_1(X3))
| p23(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p23(esk34_1(X3))
| ~ p22(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p21(esk34_1(X3))
| p22(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p22(esk34_1(X3))
| ~ p21(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p20(esk34_1(X3))
| p21(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p21(esk34_1(X3))
| ~ p20(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p19(esk34_1(X3))
| p20(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p20(esk34_1(X3))
| ~ p19(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p18(esk34_1(X3))
| p19(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p19(esk34_1(X3))
| ~ p18(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p17(esk34_1(X3))
| p18(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p18(esk34_1(X3))
| ~ p17(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p16(esk34_1(X3))
| p17(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p17(esk34_1(X3))
| ~ p16(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p15(esk34_1(X3))
| p16(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p16(esk34_1(X3))
| ~ p15(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p14(esk34_1(X3))
| p15(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p15(esk34_1(X3))
| ~ p14(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p13(esk34_1(X3))
| p14(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p14(esk34_1(X3))
| ~ p13(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p12(esk34_1(X3))
| p13(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p13(esk34_1(X3))
| ~ p12(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p11(esk34_1(X3))
| p12(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p12(esk34_1(X3))
| ~ p11(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p10(esk34_1(X3))
| p11(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p11(esk34_1(X3))
| ~ p10(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p9(esk34_1(X3))
| p10(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p10(esk34_1(X3))
| ~ p9(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p8(esk34_1(X3))
| p9(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p9(esk34_1(X3))
| ~ p8(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p7(esk34_1(X3))
| p8(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p8(esk34_1(X3))
| ~ p7(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p6(esk34_1(X3))
| p7(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p7(esk34_1(X3))
| ~ p6(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p5(esk34_1(X3))
| p6(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p6(esk34_1(X3))
| ~ p5(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p4(esk34_1(X3))
| p5(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p5(esk34_1(X3))
| ~ p4(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p3(esk34_1(X3))
| p4(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p4(esk34_1(X3))
| ~ p3(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p2(esk34_1(X3))
| p3(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p3(esk34_1(X3))
| ~ p2(esk34_1(X3))
| ~ epred1_1(X3) )
& ( p1(esk34_1(X3))
| p2(esk34_1(X3))
| ~ epred1_1(X3) )
& ( ~ p2(esk34_1(X3))
| ~ p1(esk34_1(X3))
| ~ epred1_1(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_3])])])])])])])]) ).
fof(c_0_5,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ p30(X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| epred1_1(X1) ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[main]),c_0_2]) ).
cnf(c_0_6,plain,
( p1(X2)
| ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( r1(X1,esk34_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( p2(esk34_1(X1))
| p1(esk34_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_9,negated_conjecture,
! [X7] :
( r1(esk1_0,esk2_0)
& p30(esk2_0)
& r1(esk2_0,esk3_0)
& p1(esk3_0)
& r1(esk1_0,esk4_0)
& ( ~ r1(esk4_0,X7)
| epred1_1(X7) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_5])])])])])])]) ).
fof(c_0_10,plain,
! [X2] : r1(X2,X2),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_11,plain,
( ~ epred1_1(X1)
| ~ p1(esk34_1(X1))
| ~ p2(esk34_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,plain,
( p1(esk34_1(X1))
| ~ epred1_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk4_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( p2(X2)
| ~ epred1_1(X1)
| ~ r1(X1,X2)
| ~ p1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,plain,
( ~ epred1_1(X1)
| ~ p2(esk34_1(X1)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
epred1_1(esk4_0),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
~ epred1_1(X1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_7]),c_0_12]),c_0_16]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_17,c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : LCL686+1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : run_ET %s %d
% 0.13/0.36 % Computer : n021.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 600
% 0.13/0.36 % DateTime : Sat Jul 2 14:20:30 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.27/1.45 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.27/1.45 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.27/1.45 # Preprocessing time : 0.025 s
% 0.27/1.45
% 0.27/1.45 # Proof found!
% 0.27/1.45 # SZS status Theorem
% 0.27/1.45 # SZS output start CNFRefutation
% See solution above
% 0.27/1.45 # Proof object total steps : 20
% 0.27/1.45 # Proof object clause steps : 12
% 0.27/1.45 # Proof object formula steps : 8
% 0.27/1.45 # Proof object conjectures : 6
% 0.27/1.45 # Proof object clause conjectures : 3
% 0.27/1.45 # Proof object formula conjectures : 3
% 0.27/1.45 # Proof object initial clauses used : 7
% 0.27/1.45 # Proof object initial formulas used : 2
% 0.27/1.45 # Proof object generating inferences : 4
% 0.27/1.45 # Proof object simplifying inferences : 4
% 0.27/1.45 # Training examples: 0 positive, 0 negative
% 0.27/1.45 # Parsed axioms : 3
% 0.27/1.45 # Removed by relevancy pruning/SinE : 0
% 0.27/1.45 # Initial clauses : 151
% 0.27/1.45 # Removed in clause preprocessing : 0
% 0.27/1.45 # Initial clauses in saturation : 151
% 0.27/1.45 # Processed clauses : 203
% 0.27/1.45 # ...of these trivial : 0
% 0.27/1.45 # ...subsumed : 5
% 0.27/1.45 # ...remaining for further processing : 198
% 0.27/1.45 # Other redundant clauses eliminated : 0
% 0.27/1.45 # Clauses deleted for lack of memory : 0
% 0.27/1.45 # Backward-subsumed : 4
% 0.27/1.45 # Backward-rewritten : 0
% 0.27/1.45 # Generated clauses : 920
% 0.27/1.45 # ...of the previous two non-trivial : 862
% 0.27/1.45 # Contextual simplify-reflections : 6
% 0.27/1.45 # Paramodulations : 913
% 0.27/1.45 # Factorizations : 0
% 0.27/1.45 # Equation resolutions : 0
% 0.27/1.45 # Current number of processed clauses : 187
% 0.27/1.45 # Positive orientable unit clauses : 7
% 0.27/1.45 # Positive unorientable unit clauses: 0
% 0.27/1.45 # Negative unit clauses : 1
% 0.27/1.45 # Non-unit-clauses : 179
% 0.27/1.45 # Current number of unprocessed clauses: 808
% 0.27/1.45 # ...number of literals in the above : 3423
% 0.27/1.45 # Current number of archived formulas : 0
% 0.27/1.45 # Current number of archived clauses : 11
% 0.27/1.45 # Clause-clause subsumption calls (NU) : 4017
% 0.27/1.45 # Rec. Clause-clause subsumption calls : 1808
% 0.27/1.45 # Non-unit clause-clause subsumptions : 15
% 0.27/1.45 # Unit Clause-clause subsumption calls : 337
% 0.27/1.45 # Rewrite failures with RHS unbound : 0
% 0.27/1.45 # BW rewrite match attempts : 0
% 0.27/1.45 # BW rewrite match successes : 0
% 0.27/1.45 # Condensation attempts : 0
% 0.27/1.45 # Condensation successes : 0
% 0.27/1.45 # Termbank termtop insertions : 24806
% 0.27/1.45
% 0.27/1.45 # -------------------------------------------------
% 0.27/1.45 # User time : 0.043 s
% 0.27/1.45 # System time : 0.006 s
% 0.27/1.45 # Total time : 0.049 s
% 0.27/1.45 # Maximum resident set size: 4752 pages
%------------------------------------------------------------------------------