%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL686+1.015 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.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 : 300s
% DateTime : Tue May 5 04:44:51 PM UTC 2026
% Result : Theorem 1.35s 1.78s
% Output : CNFRefutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 2052 ( 0 equ)
% Maximal formula atoms : 694 ( 89 avg)
% Number of connectives : 3587 (1558 ~;1289 |; 738 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 265 ( 33 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 49 ( 47 usr; 2 prp; 0-2 aty)
% Number of functors : 49 ( 49 usr; 4 con; 0-1 aty)
% Number of variables : 335 ( 0 sgn 321 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ p45(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)
| ! [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)
| ~ $true )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p44(X2)
& ~ p43(X2) )
| ( ~ p44(X2)
& p43(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p43(X1)
& ~ p42(X1) )
| ( ~ p43(X1)
& p42(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p42(X2)
& ~ p41(X2) )
| ( ~ p42(X2)
& p41(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p41(X1)
& ~ p40(X1) )
| ( ~ p41(X1)
& p40(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p40(X2)
& ~ p39(X2) )
| ( ~ p40(X2)
& p39(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p39(X1)
& ~ p38(X1) )
| ( ~ p39(X1)
& p38(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p38(X2)
& ~ p37(X2) )
| ( ~ p38(X2)
& p37(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p37(X1)
& ~ p36(X1) )
| ( ~ p37(X1)
& p36(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p36(X2)
& ~ p35(X2) )
| ( ~ p36(X2)
& p35(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p35(X1)
& ~ p34(X1) )
| ( ~ p35(X1)
& p34(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p34(X2)
& ~ p33(X2) )
| ( ~ p34(X2)
& p33(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p33(X1)
& ~ p32(X1) )
| ( ~ p33(X1)
& p32(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p32(X2)
& ~ p31(X2) )
| ( ~ p32(X2)
& p31(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p31(X1)
& ~ p30(X1) )
| ( ~ p31(X1)
& p30(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p30(X2)
& ~ p29(X2) )
| ( ~ p30(X2)
& p29(X2) ) ) ) )
| ~ ! [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)
| p45(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ( ~ p43(X2)
& ~ p44(X2) )
| ( p44(X2)
& p43(X2) )
| ( ~ p42(X2)
& ~ p43(X2) )
| ( p43(X2)
& p42(X2) )
| ( ~ p41(X2)
& ~ p42(X2) )
| ( p42(X2)
& p41(X2) )
| ( ~ p40(X2)
& ~ p41(X2) )
| ( p41(X2)
& p40(X2) )
| ( ~ p39(X2)
& ~ p40(X2) )
| ( p40(X2)
& p39(X2) )
| ( ~ p38(X2)
& ~ p39(X2) )
| ( p39(X2)
& p38(X2) )
| ( ~ p37(X2)
& ~ p38(X2) )
| ( p38(X2)
& p37(X2) )
| ( ~ p36(X2)
& ~ p37(X2) )
| ( p37(X2)
& p36(X2) )
| ( ~ p35(X2)
& ~ p36(X2) )
| ( p36(X2)
& p35(X2) )
| ( ~ p34(X2)
& ~ p35(X2) )
| ( p35(X2)
& p34(X2) )
| ( ~ p33(X2)
& ~ p34(X2) )
| ( p34(X2)
& p33(X2) )
| ( ~ p32(X2)
& ~ p33(X2) )
| ( p33(X2)
& p32(X2) )
| ( ~ p31(X2)
& ~ p32(X2) )
| ( p32(X2)
& p31(X2) )
| ( ~ p30(X2)
& ~ p31(X2) )
| ( p31(X2)
& p30(X2) )
| ( ~ p29(X2)
& ~ p30(X2) )
| ( p30(X2)
& p29(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/sandbox2/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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)
| ! [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)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p44(X2)
& ~ p43(X2) )
| ( ~ p44(X2)
& p43(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p43(X1)
& ~ p42(X1) )
| ( ~ p43(X1)
& p42(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p42(X2)
& ~ p41(X2) )
| ( ~ p42(X2)
& p41(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p41(X1)
& ~ p40(X1) )
| ( ~ p41(X1)
& p40(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p40(X2)
& ~ p39(X2) )
| ( ~ p40(X2)
& p39(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p39(X1)
& ~ p38(X1) )
| ( ~ p39(X1)
& p38(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p38(X2)
& ~ p37(X2) )
| ( ~ p38(X2)
& p37(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p37(X1)
& ~ p36(X1) )
| ( ~ p37(X1)
& p36(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p36(X2)
& ~ p35(X2) )
| ( ~ p36(X2)
& p35(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p35(X1)
& ~ p34(X1) )
| ( ~ p35(X1)
& p34(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p34(X2)
& ~ p33(X2) )
| ( ~ p34(X2)
& p33(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p33(X1)
& ~ p32(X1) )
| ( ~ p33(X1)
& p32(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p32(X2)
& ~ p31(X2) )
| ( ~ p32(X2)
& p31(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p31(X1)
& ~ p30(X1) )
| ( ~ p31(X1)
& p30(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p30(X2)
& ~ p29(X2) )
| ( ~ p30(X2)
& p29(X2) ) ) ) )
| ~ ! [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)
| p45(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ( ~ p43(X2)
& ~ p44(X2) )
| ( p44(X2)
& p43(X2) )
| ( ~ p42(X2)
& ~ p43(X2) )
| ( p43(X2)
& p42(X2) )
| ( ~ p41(X2)
& ~ p42(X2) )
| ( p42(X2)
& p41(X2) )
| ( ~ p40(X2)
& ~ p41(X2) )
| ( p41(X2)
& p40(X2) )
| ( ~ p39(X2)
& ~ p40(X2) )
| ( p40(X2)
& p39(X2) )
| ( ~ p38(X2)
& ~ p39(X2) )
| ( p39(X2)
& p38(X2) )
| ( ~ p37(X2)
& ~ p38(X2) )
| ( p38(X2)
& p37(X2) )
| ( ~ p36(X2)
& ~ p37(X2) )
| ( p37(X2)
& p36(X2) )
| ( ~ p35(X2)
& ~ p36(X2) )
| ( p36(X2)
& p35(X2) )
| ( ~ p34(X2)
& ~ p35(X2) )
| ( p35(X2)
& p34(X2) )
| ( ~ p33(X2)
& ~ p34(X2) )
| ( p34(X2)
& p33(X2) )
| ( ~ p32(X2)
& ~ p33(X2) )
| ( p33(X2)
& p32(X2) )
| ( ~ p31(X2)
& ~ p32(X2) )
| ( p32(X2)
& p31(X2) )
| ( ~ p30(X2)
& ~ p31(X2) )
| ( p31(X2)
& p30(X2) )
| ( ~ p29(X2)
& ~ p30(X2) )
| ( p30(X2)
& p29(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,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ~ r1(X1,X2)
| ~ p45(X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| epred1_1(X1) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]),c_0_2]) ).
fof(c_0_4,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)
| ! [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)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p44(X2)
& ~ p43(X2) )
| ( ~ p44(X2)
& p43(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p43(X1)
& ~ p42(X1) )
| ( ~ p43(X1)
& p42(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p42(X2)
& ~ p41(X2) )
| ( ~ p42(X2)
& p41(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p41(X1)
& ~ p40(X1) )
| ( ~ p41(X1)
& p40(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p40(X2)
& ~ p39(X2) )
| ( ~ p40(X2)
& p39(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p39(X1)
& ~ p38(X1) )
| ( ~ p39(X1)
& p38(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p38(X2)
& ~ p37(X2) )
| ( ~ p38(X2)
& p37(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p37(X1)
& ~ p36(X1) )
| ( ~ p37(X1)
& p36(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p36(X2)
& ~ p35(X2) )
| ( ~ p36(X2)
& p35(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p35(X1)
& ~ p34(X1) )
| ( ~ p35(X1)
& p34(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p34(X2)
& ~ p33(X2) )
| ( ~ p34(X2)
& p33(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p33(X1)
& ~ p32(X1) )
| ( ~ p33(X1)
& p32(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p32(X2)
& ~ p31(X2) )
| ( ~ p32(X2)
& p31(X2) ) ) ) )
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ( p31(X1)
& ~ p30(X1) )
| ( ~ p31(X1)
& p30(X1) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ( p30(X2)
& ~ p29(X2) )
| ( ~ p30(X2)
& p29(X2) ) ) ) )
| ~ ! [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)
| p45(X2) )
| ! [X2] :
( ~ r1(X1,X2)
| ( ~ p43(X2)
& ~ p44(X2) )
| ( p44(X2)
& p43(X2) )
| ( ~ p42(X2)
& ~ p43(X2) )
| ( p43(X2)
& p42(X2) )
| ( ~ p41(X2)
& ~ p42(X2) )
| ( p42(X2)
& p41(X2) )
| ( ~ p40(X2)
& ~ p41(X2) )
| ( p41(X2)
& p40(X2) )
| ( ~ p39(X2)
& ~ p40(X2) )
| ( p40(X2)
& p39(X2) )
| ( ~ p38(X2)
& ~ p39(X2) )
| ( p39(X2)
& p38(X2) )
| ( ~ p37(X2)
& ~ p38(X2) )
| ( p38(X2)
& p37(X2) )
| ( ~ p36(X2)
& ~ p37(X2) )
| ( p37(X2)
& p36(X2) )
| ( ~ p35(X2)
& ~ p36(X2) )
| ( p36(X2)
& p35(X2) )
| ( ~ p34(X2)
& ~ p35(X2) )
| ( p35(X2)
& p34(X2) )
| ( ~ p33(X2)
& ~ p34(X2) )
| ( p34(X2)
& p33(X2) )
| ( ~ p32(X2)
& ~ p33(X2) )
| ( p33(X2)
& p32(X2) )
| ( ~ p31(X2)
& ~ p32(X2) )
| ( p32(X2)
& p31(X2) )
| ( ~ p30(X2)
& ~ p31(X2) )
| ( p31(X2)
& p30(X2) )
| ( ~ p29(X2)
& ~ p30(X2) )
| ( p30(X2)
& p29(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_5,negated_conjecture,
! [X109] :
( r1(esk1_0,esk2_0)
& p45(esk2_0)
& r1(esk2_0,esk3_0)
& p1(esk3_0)
& r1(esk1_0,esk4_0)
& ( ~ r1(esk4_0,X109)
| epred1_1(X109) ) ),
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,plain,
! [X101] : r1(X101,X101),
inference(variable_rename,[status(thm)],[reflexivity]) ).
fof(c_0_7,plain,
! [X110,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196] :
( ( r1(X110,esk5_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk5_1(X110),esk6_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk6_1(X110),esk7_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk7_1(X110),esk8_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk8_1(X110),esk9_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk9_1(X110),esk10_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk10_1(X110),esk11_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk11_1(X110),esk12_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk12_1(X110),esk13_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk13_1(X110),esk14_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk14_1(X110),esk15_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk15_1(X110),esk16_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk16_1(X110),esk17_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk17_1(X110),esk18_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk18_1(X110),esk19_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk19_1(X110),esk20_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk20_1(X110),esk21_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk21_1(X110),esk22_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk22_1(X110),esk23_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk23_1(X110),esk24_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk24_1(X110),esk25_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk25_1(X110),esk26_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk26_1(X110),esk27_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk27_1(X110),esk28_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk28_1(X110),esk29_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk29_1(X110),esk30_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk30_1(X110),esk31_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk31_1(X110),esk32_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk32_1(X110),esk33_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk33_1(X110),esk34_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk34_1(X110),esk35_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk35_1(X110),esk36_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk36_1(X110),esk37_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk37_1(X110),esk38_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk38_1(X110),esk39_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk39_1(X110),esk40_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk40_1(X110),esk41_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk41_1(X110),esk42_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk42_1(X110),esk43_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk43_1(X110),esk44_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk44_1(X110),esk45_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk45_1(X110),esk46_1(X110))
| ~ epred1_1(X110) )
& ( r1(esk46_1(X110),esk47_1(X110))
| ~ epred1_1(X110) )
& ( ~ p44(X154)
| p43(X154)
| ~ r1(esk46_1(X110),X154)
| ~ epred1_1(X110) )
& ( p44(X154)
| ~ p43(X154)
| ~ r1(esk46_1(X110),X154)
| ~ epred1_1(X110) )
& ( ~ p43(X155)
| p42(X155)
| ~ r1(esk45_1(X110),X155)
| ~ epred1_1(X110) )
& ( p43(X155)
| ~ p42(X155)
| ~ r1(esk45_1(X110),X155)
| ~ epred1_1(X110) )
& ( ~ p42(X156)
| p41(X156)
| ~ r1(esk44_1(X110),X156)
| ~ epred1_1(X110) )
& ( p42(X156)
| ~ p41(X156)
| ~ r1(esk44_1(X110),X156)
| ~ epred1_1(X110) )
& ( ~ p41(X157)
| p40(X157)
| ~ r1(esk43_1(X110),X157)
| ~ epred1_1(X110) )
& ( p41(X157)
| ~ p40(X157)
| ~ r1(esk43_1(X110),X157)
| ~ epred1_1(X110) )
& ( ~ p40(X158)
| p39(X158)
| ~ r1(esk42_1(X110),X158)
| ~ epred1_1(X110) )
& ( p40(X158)
| ~ p39(X158)
| ~ r1(esk42_1(X110),X158)
| ~ epred1_1(X110) )
& ( ~ p39(X159)
| p38(X159)
| ~ r1(esk41_1(X110),X159)
| ~ epred1_1(X110) )
& ( p39(X159)
| ~ p38(X159)
| ~ r1(esk41_1(X110),X159)
| ~ epred1_1(X110) )
& ( ~ p38(X160)
| p37(X160)
| ~ r1(esk40_1(X110),X160)
| ~ epred1_1(X110) )
& ( p38(X160)
| ~ p37(X160)
| ~ r1(esk40_1(X110),X160)
| ~ epred1_1(X110) )
& ( ~ p37(X161)
| p36(X161)
| ~ r1(esk39_1(X110),X161)
| ~ epred1_1(X110) )
& ( p37(X161)
| ~ p36(X161)
| ~ r1(esk39_1(X110),X161)
| ~ epred1_1(X110) )
& ( ~ p36(X162)
| p35(X162)
| ~ r1(esk38_1(X110),X162)
| ~ epred1_1(X110) )
& ( p36(X162)
| ~ p35(X162)
| ~ r1(esk38_1(X110),X162)
| ~ epred1_1(X110) )
& ( ~ p35(X163)
| p34(X163)
| ~ r1(esk37_1(X110),X163)
| ~ epred1_1(X110) )
& ( p35(X163)
| ~ p34(X163)
| ~ r1(esk37_1(X110),X163)
| ~ epred1_1(X110) )
& ( ~ p34(X164)
| p33(X164)
| ~ r1(esk36_1(X110),X164)
| ~ epred1_1(X110) )
& ( p34(X164)
| ~ p33(X164)
| ~ r1(esk36_1(X110),X164)
| ~ epred1_1(X110) )
& ( ~ p33(X165)
| p32(X165)
| ~ r1(esk35_1(X110),X165)
| ~ epred1_1(X110) )
& ( p33(X165)
| ~ p32(X165)
| ~ r1(esk35_1(X110),X165)
| ~ epred1_1(X110) )
& ( ~ p32(X166)
| p31(X166)
| ~ r1(esk34_1(X110),X166)
| ~ epred1_1(X110) )
& ( p32(X166)
| ~ p31(X166)
| ~ r1(esk34_1(X110),X166)
| ~ epred1_1(X110) )
& ( ~ p31(X167)
| p30(X167)
| ~ r1(esk33_1(X110),X167)
| ~ epred1_1(X110) )
& ( p31(X167)
| ~ p30(X167)
| ~ r1(esk33_1(X110),X167)
| ~ epred1_1(X110) )
& ( ~ p30(X168)
| p29(X168)
| ~ r1(esk32_1(X110),X168)
| ~ epred1_1(X110) )
& ( p30(X168)
| ~ p29(X168)
| ~ r1(esk32_1(X110),X168)
| ~ epred1_1(X110) )
& ( ~ p29(X169)
| p28(X169)
| ~ r1(esk31_1(X110),X169)
| ~ epred1_1(X110) )
& ( p29(X169)
| ~ p28(X169)
| ~ r1(esk31_1(X110),X169)
| ~ epred1_1(X110) )
& ( ~ p28(X170)
| p27(X170)
| ~ r1(esk30_1(X110),X170)
| ~ epred1_1(X110) )
& ( p28(X170)
| ~ p27(X170)
| ~ r1(esk30_1(X110),X170)
| ~ epred1_1(X110) )
& ( ~ p27(X171)
| p26(X171)
| ~ r1(esk29_1(X110),X171)
| ~ epred1_1(X110) )
& ( p27(X171)
| ~ p26(X171)
| ~ r1(esk29_1(X110),X171)
| ~ epred1_1(X110) )
& ( ~ p26(X172)
| p25(X172)
| ~ r1(esk28_1(X110),X172)
| ~ epred1_1(X110) )
& ( p26(X172)
| ~ p25(X172)
| ~ r1(esk28_1(X110),X172)
| ~ epred1_1(X110) )
& ( ~ p25(X173)
| p24(X173)
| ~ r1(esk27_1(X110),X173)
| ~ epred1_1(X110) )
& ( p25(X173)
| ~ p24(X173)
| ~ r1(esk27_1(X110),X173)
| ~ epred1_1(X110) )
& ( ~ p24(X174)
| p23(X174)
| ~ r1(esk26_1(X110),X174)
| ~ epred1_1(X110) )
& ( p24(X174)
| ~ p23(X174)
| ~ r1(esk26_1(X110),X174)
| ~ epred1_1(X110) )
& ( ~ p23(X175)
| p22(X175)
| ~ r1(esk25_1(X110),X175)
| ~ epred1_1(X110) )
& ( p23(X175)
| ~ p22(X175)
| ~ r1(esk25_1(X110),X175)
| ~ epred1_1(X110) )
& ( ~ p22(X176)
| p21(X176)
| ~ r1(esk24_1(X110),X176)
| ~ epred1_1(X110) )
& ( p22(X176)
| ~ p21(X176)
| ~ r1(esk24_1(X110),X176)
| ~ epred1_1(X110) )
& ( ~ p21(X177)
| p20(X177)
| ~ r1(esk23_1(X110),X177)
| ~ epred1_1(X110) )
& ( p21(X177)
| ~ p20(X177)
| ~ r1(esk23_1(X110),X177)
| ~ epred1_1(X110) )
& ( ~ p20(X178)
| p19(X178)
| ~ r1(esk22_1(X110),X178)
| ~ epred1_1(X110) )
& ( p20(X178)
| ~ p19(X178)
| ~ r1(esk22_1(X110),X178)
| ~ epred1_1(X110) )
& ( ~ p19(X179)
| p18(X179)
| ~ r1(esk21_1(X110),X179)
| ~ epred1_1(X110) )
& ( p19(X179)
| ~ p18(X179)
| ~ r1(esk21_1(X110),X179)
| ~ epred1_1(X110) )
& ( ~ p18(X180)
| p17(X180)
| ~ r1(esk20_1(X110),X180)
| ~ epred1_1(X110) )
& ( p18(X180)
| ~ p17(X180)
| ~ r1(esk20_1(X110),X180)
| ~ epred1_1(X110) )
& ( ~ p17(X181)
| p16(X181)
| ~ r1(esk19_1(X110),X181)
| ~ epred1_1(X110) )
& ( p17(X181)
| ~ p16(X181)
| ~ r1(esk19_1(X110),X181)
| ~ epred1_1(X110) )
& ( ~ p16(X182)
| p15(X182)
| ~ r1(esk18_1(X110),X182)
| ~ epred1_1(X110) )
& ( p16(X182)
| ~ p15(X182)
| ~ r1(esk18_1(X110),X182)
| ~ epred1_1(X110) )
& ( ~ p15(X183)
| p14(X183)
| ~ r1(esk17_1(X110),X183)
| ~ epred1_1(X110) )
& ( p15(X183)
| ~ p14(X183)
| ~ r1(esk17_1(X110),X183)
| ~ epred1_1(X110) )
& ( ~ p14(X184)
| p13(X184)
| ~ r1(esk16_1(X110),X184)
| ~ epred1_1(X110) )
& ( p14(X184)
| ~ p13(X184)
| ~ r1(esk16_1(X110),X184)
| ~ epred1_1(X110) )
& ( ~ p13(X185)
| p12(X185)
| ~ r1(esk15_1(X110),X185)
| ~ epred1_1(X110) )
& ( p13(X185)
| ~ p12(X185)
| ~ r1(esk15_1(X110),X185)
| ~ epred1_1(X110) )
& ( ~ p12(X186)
| p11(X186)
| ~ r1(esk14_1(X110),X186)
| ~ epred1_1(X110) )
& ( p12(X186)
| ~ p11(X186)
| ~ r1(esk14_1(X110),X186)
| ~ epred1_1(X110) )
& ( ~ p11(X187)
| p10(X187)
| ~ r1(esk13_1(X110),X187)
| ~ epred1_1(X110) )
& ( p11(X187)
| ~ p10(X187)
| ~ r1(esk13_1(X110),X187)
| ~ epred1_1(X110) )
& ( ~ p10(X188)
| p9(X188)
| ~ r1(esk12_1(X110),X188)
| ~ epred1_1(X110) )
& ( p10(X188)
| ~ p9(X188)
| ~ r1(esk12_1(X110),X188)
| ~ epred1_1(X110) )
& ( ~ p9(X189)
| p8(X189)
| ~ r1(esk11_1(X110),X189)
| ~ epred1_1(X110) )
& ( p9(X189)
| ~ p8(X189)
| ~ r1(esk11_1(X110),X189)
| ~ epred1_1(X110) )
& ( ~ p8(X190)
| p7(X190)
| ~ r1(esk10_1(X110),X190)
| ~ epred1_1(X110) )
& ( p8(X190)
| ~ p7(X190)
| ~ r1(esk10_1(X110),X190)
| ~ epred1_1(X110) )
& ( ~ p7(X191)
| p6(X191)
| ~ r1(esk9_1(X110),X191)
| ~ epred1_1(X110) )
& ( p7(X191)
| ~ p6(X191)
| ~ r1(esk9_1(X110),X191)
| ~ epred1_1(X110) )
& ( ~ p6(X192)
| p5(X192)
| ~ r1(esk8_1(X110),X192)
| ~ epred1_1(X110) )
& ( p6(X192)
| ~ p5(X192)
| ~ r1(esk8_1(X110),X192)
| ~ epred1_1(X110) )
& ( ~ p5(X193)
| p4(X193)
| ~ r1(esk7_1(X110),X193)
| ~ epred1_1(X110) )
& ( p5(X193)
| ~ p4(X193)
| ~ r1(esk7_1(X110),X193)
| ~ epred1_1(X110) )
& ( ~ p4(X194)
| p3(X194)
| ~ r1(esk6_1(X110),X194)
| ~ epred1_1(X110) )
& ( p4(X194)
| ~ p3(X194)
| ~ r1(esk6_1(X110),X194)
| ~ epred1_1(X110) )
& ( ~ p3(X195)
| p2(X195)
| ~ r1(esk5_1(X110),X195)
| ~ epred1_1(X110) )
& ( p3(X195)
| ~ p2(X195)
| ~ r1(esk5_1(X110),X195)
| ~ epred1_1(X110) )
& ( ~ p2(X196)
| p1(X196)
| ~ r1(X110,X196)
| ~ epred1_1(X110) )
& ( p2(X196)
| ~ p1(X196)
| ~ r1(X110,X196)
| ~ epred1_1(X110) )
& ( r1(X110,esk48_1(X110))
| ~ epred1_1(X110) )
& ( ~ p45(esk48_1(X110))
| ~ epred1_1(X110) )
& ( r1(X110,esk49_1(X110))
| ~ epred1_1(X110) )
& ( p43(esk49_1(X110))
| p44(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p44(esk49_1(X110))
| ~ p43(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p42(esk49_1(X110))
| p43(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p43(esk49_1(X110))
| ~ p42(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p41(esk49_1(X110))
| p42(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p42(esk49_1(X110))
| ~ p41(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p40(esk49_1(X110))
| p41(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p41(esk49_1(X110))
| ~ p40(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p39(esk49_1(X110))
| p40(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p40(esk49_1(X110))
| ~ p39(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p38(esk49_1(X110))
| p39(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p39(esk49_1(X110))
| ~ p38(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p37(esk49_1(X110))
| p38(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p38(esk49_1(X110))
| ~ p37(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p36(esk49_1(X110))
| p37(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p37(esk49_1(X110))
| ~ p36(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p35(esk49_1(X110))
| p36(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p36(esk49_1(X110))
| ~ p35(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p34(esk49_1(X110))
| p35(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p35(esk49_1(X110))
| ~ p34(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p33(esk49_1(X110))
| p34(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p34(esk49_1(X110))
| ~ p33(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p32(esk49_1(X110))
| p33(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p33(esk49_1(X110))
| ~ p32(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p31(esk49_1(X110))
| p32(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p32(esk49_1(X110))
| ~ p31(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p30(esk49_1(X110))
| p31(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p31(esk49_1(X110))
| ~ p30(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p29(esk49_1(X110))
| p30(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p30(esk49_1(X110))
| ~ p29(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p28(esk49_1(X110))
| p29(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p29(esk49_1(X110))
| ~ p28(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p27(esk49_1(X110))
| p28(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p28(esk49_1(X110))
| ~ p27(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p26(esk49_1(X110))
| p27(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p27(esk49_1(X110))
| ~ p26(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p25(esk49_1(X110))
| p26(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p26(esk49_1(X110))
| ~ p25(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p24(esk49_1(X110))
| p25(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p25(esk49_1(X110))
| ~ p24(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p23(esk49_1(X110))
| p24(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p24(esk49_1(X110))
| ~ p23(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p22(esk49_1(X110))
| p23(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p23(esk49_1(X110))
| ~ p22(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p21(esk49_1(X110))
| p22(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p22(esk49_1(X110))
| ~ p21(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p20(esk49_1(X110))
| p21(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p21(esk49_1(X110))
| ~ p20(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p19(esk49_1(X110))
| p20(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p20(esk49_1(X110))
| ~ p19(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p18(esk49_1(X110))
| p19(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p19(esk49_1(X110))
| ~ p18(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p17(esk49_1(X110))
| p18(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p18(esk49_1(X110))
| ~ p17(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p16(esk49_1(X110))
| p17(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p17(esk49_1(X110))
| ~ p16(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p15(esk49_1(X110))
| p16(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p16(esk49_1(X110))
| ~ p15(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p14(esk49_1(X110))
| p15(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p15(esk49_1(X110))
| ~ p14(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p13(esk49_1(X110))
| p14(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p14(esk49_1(X110))
| ~ p13(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p12(esk49_1(X110))
| p13(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p13(esk49_1(X110))
| ~ p12(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p11(esk49_1(X110))
| p12(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p12(esk49_1(X110))
| ~ p11(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p10(esk49_1(X110))
| p11(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p11(esk49_1(X110))
| ~ p10(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p9(esk49_1(X110))
| p10(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p10(esk49_1(X110))
| ~ p9(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p8(esk49_1(X110))
| p9(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p9(esk49_1(X110))
| ~ p8(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p7(esk49_1(X110))
| p8(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p8(esk49_1(X110))
| ~ p7(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p6(esk49_1(X110))
| p7(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p7(esk49_1(X110))
| ~ p6(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p5(esk49_1(X110))
| p6(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p6(esk49_1(X110))
| ~ p5(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p4(esk49_1(X110))
| p5(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p5(esk49_1(X110))
| ~ p4(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p3(esk49_1(X110))
| p4(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p4(esk49_1(X110))
| ~ p3(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p2(esk49_1(X110))
| p3(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p3(esk49_1(X110))
| ~ p2(esk49_1(X110))
| ~ epred1_1(X110) )
& ( p1(esk49_1(X110))
| p2(esk49_1(X110))
| ~ epred1_1(X110) )
& ( ~ p2(esk49_1(X110))
| ~ p1(esk49_1(X110))
| ~ epred1_1(X110) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
cnf(c_0_8,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk4_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( p1(X1)
| ~ p2(X1)
| ~ r1(X2,X1)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( p2(X1)
| ~ p1(X1)
| ~ r1(X2,X1)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( p1(esk49_1(X1))
| p2(esk49_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
epred1_1(esk4_0),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,plain,
( r1(X1,esk49_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,plain,
( ~ p2(esk49_1(X1))
| ~ p1(esk49_1(X1))
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( p1(X1)
| ~ epred1_1(X1)
| ~ p2(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_17,plain,
( p2(X1)
| ~ epred1_1(X1)
| ~ p1(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_18,negated_conjecture,
( p2(esk49_1(esk4_0))
| p1(esk49_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
epred1_1(esk49_1(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_14]),c_0_13])]) ).
cnf(c_0_20,plain,
( ~ epred1_1(esk49_1(X1))
| ~ epred1_1(X1)
| ~ p2(esk49_1(X1)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
p2(esk49_1(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_22,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_19]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL686+1.015 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n005.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 22:59:45 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.35/1.78 % Version : CSE_E---1.7
% 1.35/1.78 % Problem : theBenchmark.p
% 1.35/1.78 % SZS status Theorem for theBenchmark.p
% 1.35/1.78 % SZS output start CNFRefutation
% See solution above
% 1.35/1.78 % Total time : 1.422s
%------------------------------------------------------------------------------