%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL686+1.010 : 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 : n020.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 0.23s 0.57s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 1648 ( 0 equ)
% Maximal formula atoms : 456 ( 78 avg)
% Number of connectives : 2898 (1271 ~;1029 |; 596 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 176 ( 30 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 : 293 ( 1 sgn 278 !; 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) )
| ~ r1(X1,X2) )
| ! [X2] :
( p30(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] :
( ~ $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) )
| ! [X2] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ p30(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) )
| ~ r1(X1,X2) )
| ! [X2] :
( p30(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] :
( ~ $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) ) ) ),
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) )
| ~ r1(X1,X2) )
| ! [X2] :
( p30(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] :
( ~ $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) ) ) ),
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) )
| ~ r1(X1,X2) )
| ! [X2] :
( p30(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] :
( ~ $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) )
| ! [X2] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X2,X1) )
| ~ p30(X2)
| ~ r1(X1,X2) ) ),
inference(assume_negation,[status(cth)],[main]) ).
fof(c_0_5,plain,
! [X13,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69] :
( ( ~ epred1_1(X13)
| ~ p1(esk34_1(X13))
| ~ p2(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p2(esk34_1(X13))
| p1(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p2(esk34_1(X13))
| ~ p3(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p3(esk34_1(X13))
| p2(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p3(esk34_1(X13))
| ~ p4(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p4(esk34_1(X13))
| p3(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p4(esk34_1(X13))
| ~ p5(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p5(esk34_1(X13))
| p4(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p5(esk34_1(X13))
| ~ p6(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p6(esk34_1(X13))
| p5(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p6(esk34_1(X13))
| ~ p7(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p7(esk34_1(X13))
| p6(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p7(esk34_1(X13))
| ~ p8(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p8(esk34_1(X13))
| p7(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p8(esk34_1(X13))
| ~ p9(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p9(esk34_1(X13))
| p8(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p9(esk34_1(X13))
| ~ p10(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p10(esk34_1(X13))
| p9(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p10(esk34_1(X13))
| ~ p11(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p11(esk34_1(X13))
| p10(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p11(esk34_1(X13))
| ~ p12(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p12(esk34_1(X13))
| p11(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p12(esk34_1(X13))
| ~ p13(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p13(esk34_1(X13))
| p12(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p13(esk34_1(X13))
| ~ p14(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p14(esk34_1(X13))
| p13(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p14(esk34_1(X13))
| ~ p15(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p15(esk34_1(X13))
| p14(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p15(esk34_1(X13))
| ~ p16(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p16(esk34_1(X13))
| p15(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p16(esk34_1(X13))
| ~ p17(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p17(esk34_1(X13))
| p16(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p17(esk34_1(X13))
| ~ p18(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p18(esk34_1(X13))
| p17(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p18(esk34_1(X13))
| ~ p19(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p19(esk34_1(X13))
| p18(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p19(esk34_1(X13))
| ~ p20(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p20(esk34_1(X13))
| p19(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p20(esk34_1(X13))
| ~ p21(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p21(esk34_1(X13))
| p20(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p21(esk34_1(X13))
| ~ p22(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p22(esk34_1(X13))
| p21(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p22(esk34_1(X13))
| ~ p23(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p23(esk34_1(X13))
| p22(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p23(esk34_1(X13))
| ~ p24(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p24(esk34_1(X13))
| p23(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p24(esk34_1(X13))
| ~ p25(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p25(esk34_1(X13))
| p24(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p25(esk34_1(X13))
| ~ p26(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p26(esk34_1(X13))
| p25(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p26(esk34_1(X13))
| ~ p27(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p27(esk34_1(X13))
| p26(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p27(esk34_1(X13))
| ~ p28(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p28(esk34_1(X13))
| p27(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p28(esk34_1(X13))
| ~ p29(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| p29(esk34_1(X13))
| p28(esk34_1(X13)) )
& ( ~ epred1_1(X13)
| r1(X13,esk34_1(X13)) )
& ( ~ epred1_1(X13)
| ~ p30(esk33_1(X13)) )
& ( ~ epred1_1(X13)
| r1(X13,esk33_1(X13)) )
& ( ~ epred1_1(X13)
| ~ r1(X13,X69)
| ~ p1(X69)
| p2(X69) )
& ( ~ epred1_1(X13)
| ~ r1(X13,X69)
| p1(X69)
| ~ p2(X69) )
& ( ~ epred1_1(X13)
| ~ r1(esk5_1(X13),X68)
| ~ p2(X68)
| p3(X68) )
& ( ~ epred1_1(X13)
| ~ r1(esk5_1(X13),X68)
| p2(X68)
| ~ p3(X68) )
& ( ~ epred1_1(X13)
| ~ r1(esk6_1(X13),X67)
| ~ p3(X67)
| p4(X67) )
& ( ~ epred1_1(X13)
| ~ r1(esk6_1(X13),X67)
| p3(X67)
| ~ p4(X67) )
& ( ~ epred1_1(X13)
| ~ r1(esk7_1(X13),X66)
| ~ p4(X66)
| p5(X66) )
& ( ~ epred1_1(X13)
| ~ r1(esk7_1(X13),X66)
| p4(X66)
| ~ p5(X66) )
& ( ~ epred1_1(X13)
| ~ r1(esk8_1(X13),X65)
| ~ p5(X65)
| p6(X65) )
& ( ~ epred1_1(X13)
| ~ r1(esk8_1(X13),X65)
| p5(X65)
| ~ p6(X65) )
& ( ~ epred1_1(X13)
| ~ r1(esk9_1(X13),X64)
| ~ p6(X64)
| p7(X64) )
& ( ~ epred1_1(X13)
| ~ r1(esk9_1(X13),X64)
| p6(X64)
| ~ p7(X64) )
& ( ~ epred1_1(X13)
| ~ r1(esk10_1(X13),X63)
| ~ p7(X63)
| p8(X63) )
& ( ~ epred1_1(X13)
| ~ r1(esk10_1(X13),X63)
| p7(X63)
| ~ p8(X63) )
& ( ~ epred1_1(X13)
| ~ r1(esk11_1(X13),X62)
| ~ p8(X62)
| p9(X62) )
& ( ~ epred1_1(X13)
| ~ r1(esk11_1(X13),X62)
| p8(X62)
| ~ p9(X62) )
& ( ~ epred1_1(X13)
| ~ r1(esk12_1(X13),X61)
| ~ p9(X61)
| p10(X61) )
& ( ~ epred1_1(X13)
| ~ r1(esk12_1(X13),X61)
| p9(X61)
| ~ p10(X61) )
& ( ~ epred1_1(X13)
| ~ r1(esk13_1(X13),X60)
| ~ p10(X60)
| p11(X60) )
& ( ~ epred1_1(X13)
| ~ r1(esk13_1(X13),X60)
| p10(X60)
| ~ p11(X60) )
& ( ~ epred1_1(X13)
| ~ r1(esk14_1(X13),X59)
| ~ p11(X59)
| p12(X59) )
& ( ~ epred1_1(X13)
| ~ r1(esk14_1(X13),X59)
| p11(X59)
| ~ p12(X59) )
& ( ~ epred1_1(X13)
| ~ r1(esk15_1(X13),X58)
| ~ p12(X58)
| p13(X58) )
& ( ~ epred1_1(X13)
| ~ r1(esk15_1(X13),X58)
| p12(X58)
| ~ p13(X58) )
& ( ~ epred1_1(X13)
| ~ r1(esk16_1(X13),X57)
| ~ p13(X57)
| p14(X57) )
& ( ~ epred1_1(X13)
| ~ r1(esk16_1(X13),X57)
| p13(X57)
| ~ p14(X57) )
& ( ~ epred1_1(X13)
| ~ r1(esk17_1(X13),X56)
| ~ p14(X56)
| p15(X56) )
& ( ~ epred1_1(X13)
| ~ r1(esk17_1(X13),X56)
| p14(X56)
| ~ p15(X56) )
& ( ~ epred1_1(X13)
| ~ r1(esk18_1(X13),X55)
| ~ p15(X55)
| p16(X55) )
& ( ~ epred1_1(X13)
| ~ r1(esk18_1(X13),X55)
| p15(X55)
| ~ p16(X55) )
& ( ~ epred1_1(X13)
| ~ r1(esk19_1(X13),X54)
| ~ p16(X54)
| p17(X54) )
& ( ~ epred1_1(X13)
| ~ r1(esk19_1(X13),X54)
| p16(X54)
| ~ p17(X54) )
& ( ~ epred1_1(X13)
| ~ r1(esk20_1(X13),X53)
| ~ p17(X53)
| p18(X53) )
& ( ~ epred1_1(X13)
| ~ r1(esk20_1(X13),X53)
| p17(X53)
| ~ p18(X53) )
& ( ~ epred1_1(X13)
| ~ r1(esk21_1(X13),X52)
| ~ p18(X52)
| p19(X52) )
& ( ~ epred1_1(X13)
| ~ r1(esk21_1(X13),X52)
| p18(X52)
| ~ p19(X52) )
& ( ~ epred1_1(X13)
| ~ r1(esk22_1(X13),X51)
| ~ p19(X51)
| p20(X51) )
& ( ~ epred1_1(X13)
| ~ r1(esk22_1(X13),X51)
| p19(X51)
| ~ p20(X51) )
& ( ~ epred1_1(X13)
| ~ r1(esk23_1(X13),X50)
| ~ p20(X50)
| p21(X50) )
& ( ~ epred1_1(X13)
| ~ r1(esk23_1(X13),X50)
| p20(X50)
| ~ p21(X50) )
& ( ~ epred1_1(X13)
| ~ r1(esk24_1(X13),X49)
| ~ p21(X49)
| p22(X49) )
& ( ~ epred1_1(X13)
| ~ r1(esk24_1(X13),X49)
| p21(X49)
| ~ p22(X49) )
& ( ~ epred1_1(X13)
| ~ r1(esk25_1(X13),X48)
| ~ p22(X48)
| p23(X48) )
& ( ~ epred1_1(X13)
| ~ r1(esk25_1(X13),X48)
| p22(X48)
| ~ p23(X48) )
& ( ~ epred1_1(X13)
| ~ r1(esk26_1(X13),X47)
| ~ p23(X47)
| p24(X47) )
& ( ~ epred1_1(X13)
| ~ r1(esk26_1(X13),X47)
| p23(X47)
| ~ p24(X47) )
& ( ~ epred1_1(X13)
| ~ r1(esk27_1(X13),X46)
| ~ p24(X46)
| p25(X46) )
& ( ~ epred1_1(X13)
| ~ r1(esk27_1(X13),X46)
| p24(X46)
| ~ p25(X46) )
& ( ~ epred1_1(X13)
| ~ r1(esk28_1(X13),X45)
| ~ p25(X45)
| p26(X45) )
& ( ~ epred1_1(X13)
| ~ r1(esk28_1(X13),X45)
| p25(X45)
| ~ p26(X45) )
& ( ~ epred1_1(X13)
| ~ r1(esk29_1(X13),X44)
| ~ p26(X44)
| p27(X44) )
& ( ~ epred1_1(X13)
| ~ r1(esk29_1(X13),X44)
| p26(X44)
| ~ p27(X44) )
& ( ~ epred1_1(X13)
| ~ r1(esk30_1(X13),X43)
| ~ p27(X43)
| p28(X43) )
& ( ~ epred1_1(X13)
| ~ r1(esk30_1(X13),X43)
| p27(X43)
| ~ p28(X43) )
& ( ~ epred1_1(X13)
| ~ r1(esk31_1(X13),X42)
| ~ p28(X42)
| p29(X42) )
& ( ~ epred1_1(X13)
| ~ r1(esk31_1(X13),X42)
| p28(X42)
| ~ p29(X42) )
& ( ~ epred1_1(X13)
| $true )
& ( ~ 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) )
| ~ p30(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,esk34_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ~ epred1_1(X1)
| p2(esk34_1(X1))
| p1(esk34_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_10,negated_conjecture,
! [X8] :
( ( epred1_1(X8)
| ~ r1(esk4_0,X8) )
& r1(esk1_0,esk4_0)
& p1(esk3_0)
& r1(esk2_0,esk3_0)
& p30(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,
! [X9] : r1(X9,X9),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_12,plain,
( ~ epred1_1(X1)
| ~ p1(esk34_1(X1))
| ~ p2(esk34_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,plain,
( ~ epred1_1(X1)
| p1(esk34_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(esk34_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
% 0.00/0.05 % Problem : LCL686+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.39 % Computer : n020.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8046.5625MB
% 0.15/0.39 % OS : Linux 6.8.0-71-generic
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Mon Sep 21 00:59:02 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 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
% 0.23/0.57 % Version: 3.5.1
% 0.23/0.57 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.57 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.57 % Starting new_bool_3 with 300s (1) cores
% 0.23/0.57 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.57 % Starting sh5l with 300s (1) cores
% 0.23/0.57 % new_bool_1 with pid 1644202 completed with status 0
% 0.23/0.57 % Result found by new_bool_1
% 0.23/0.57 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.57 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.57 % Starting new_bool_3 with 300s (1) cores
% 0.23/0.57 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.57 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.23/0.57 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.57 % Search class: FGHNF-FSMS11-SFFFFFNN
% 0.23/0.57 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.57 % Starting SubtermCWHack with 31s (1) cores
% 0.23/0.57 % SubtermCWHack with pid 1644211 completed with status 0
% 0.23/0.57 % Result found by SubtermCWHack
% 0.23/0.57 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.57 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.57 % Starting new_bool_3 with 300s (1) cores
% 0.23/0.57 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.57 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.23/0.57 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.57 % Search class: FGHNF-FSMS11-SFFFFFNN
% 0.23/0.57 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.57 % Starting SubtermCWHack with 31s (1) cores
% 0.23/0.57 % Preprocessing time : 0.003 s
% 0.23/0.57
% 0.23/0.57 % Proof found!
% 0.23/0.57 % SZS status Theorem
% 0.23/0.57 % SZS output start CNFRefutation
% See solution above
% 0.23/0.57 % Parsed axioms : 3
% 0.23/0.57 % Removed by relevancy pruning/SinE : 0
% 0.23/0.57 % Initial clauses : 152
% 0.23/0.57 % Removed in clause preprocessing : 1
% 0.23/0.57 % Initial clauses in saturation : 151
% 0.23/0.57 % Processed clauses : 141
% 0.23/0.57 % ...of these trivial : 0
% 0.23/0.57 % ...subsumed : 0
% 0.23/0.57 % ...remaining for further processing : 141
% 0.23/0.57 % Other redundant clauses eliminated : 0
% 0.23/0.57 % Clauses deleted for lack of memory : 0
% 0.23/0.57 % Backward-subsumed : 129
% 0.23/0.57 % Backward-rewritten : 0
% 0.23/0.57 % Generated clauses : 155
% 0.23/0.57 % ...of the previous two non-redundant : 112
% 0.23/0.57 % ...aggressively subsumed : 0
% 0.23/0.57 % Contextual simplify-reflections : 4
% 0.23/0.57 % Paramodulations : 151
% 0.23/0.57 % Factorizations : 0
% 0.23/0.57 % NegExts : 0
% 0.23/0.57 % Equation resolutions : 0
% 0.23/0.57 % Disequality decompositions : 0
% 0.23/0.57 % Total rewrite steps : 7
% 0.23/0.57 % ...of those cached : 5
% 0.23/0.57 % Propositional unsat checks : 0
% 0.23/0.57 % Propositional check models : 0
% 0.23/0.57 % Propositional check unsatisfiable : 0
% 0.23/0.57 % Propositional clauses : 0
% 0.23/0.57 % Propositional clauses after purity: 0
% 0.23/0.57 % Propositional unsat core size : 0
% 0.23/0.57 % Propositional preprocessing time : 0.000
% 0.23/0.57 % Propositional encoding time : 0.000
% 0.23/0.57 % Propositional solver time : 0.000
% 0.23/0.57 % Success case prop preproc time : 0.000
% 0.23/0.57 % Success case prop encoding time : 0.000
% 0.23/0.57 % Success case prop solver time : 0.000
% 0.23/0.57 % Current number of processed clauses : 8
% 0.23/0.57 % Positive orientable unit clauses : 6
% 0.23/0.57 % Positive unorientable unit clauses: 0
% 0.23/0.57 % Negative unit clauses : 1
% 0.23/0.57 % Non-unit-clauses : 1
% 0.23/0.57 % Current number of unprocessed clauses: 120
% 0.23/0.57 % ...number of literals in the above : 472
% 0.23/0.57 % Current number of archived formulas : 0
% 0.23/0.57 % Current number of archived clauses : 133
% 0.23/0.57 % Clause-clause subsumption calls (NU) : 2045
% 0.23/0.57 % Rec. Clause-clause subsumption calls : 1306
% 0.23/0.58 % Non-unit clause-clause subsumptions : 56
% 0.23/0.58 % Unit Clause-clause subsumption calls : 80
% 0.23/0.58 % Rewrite failures with RHS unbound : 0
% 0.23/0.58 % BW rewrite match attempts : 3
% 0.23/0.58 % BW rewrite match successes : 0
% 0.23/0.58 % Condensation attempts : 0
% 0.23/0.58 % Condensation successes : 0
% 0.23/0.58 % Termbank termtop insertions : 14347
% 0.23/0.58 % Search garbage collected termcells : 2679
% 0.23/0.58
% 0.23/0.58 % -------------------------------------------------
% 0.23/0.58 % User time : 0.031 s
% 0.23/0.58 % System time : 0.004 s
% 0.23/0.58 % Total time : 0.035 s
% 0.23/0.58 % Maximum resident set size: 4424 pages
% 0.23/0.58
% 0.23/0.58 % -------------------------------------------------
% 0.23/0.58 % User time : 0.034 s
% 0.23/0.58 % System time : 0.013 s
% 0.23/0.58 % Total time : 0.047 s
% 0.23/0.58 % Maximum resident set size: 4864 pages
% 0.23/0.58 % E exiting
%------------------------------------------------------------------------------