%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL686+1.015 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:02:41 PM UTC 2026
% Result : Theorem 17.12s 2.93s
% Output : Proof 17.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 31 ( 10 unt; 0 def)
% Number of atoms : 1814 ( 0 equ)
% Maximal formula atoms : 440 ( 58 avg)
% Number of connectives : 2959 (1176 ~; 993 |; 790 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 186 ( 22 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 47 ( 46 usr; 1 prp; 0-2 aty)
% Number of functors : 49 ( 49 usr; 4 con; 0-1 aty)
% Number of variables : 296 ( 0 sgn 233 !; 51 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,axiom,
! [X] : r1(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f0_nnf,plain,
! [X] : r1(X,X),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] : r1(X,X),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
r1(X0,X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
fof(f2,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ~ ! [X] :
( ~ ( ! [Y] :
( ( p1(Y)
& p2(Y) )
| ( ~ p2(Y)
& ~ p1(Y) )
| ( p2(Y)
& p3(Y) )
| ( ~ p3(Y)
& ~ p2(Y) )
| ( p3(Y)
& p4(Y) )
| ( ~ p4(Y)
& ~ p3(Y) )
| ( p4(Y)
& p5(Y) )
| ( ~ p5(Y)
& ~ p4(Y) )
| ( p5(Y)
& p6(Y) )
| ( ~ p6(Y)
& ~ p5(Y) )
| ( p6(Y)
& p7(Y) )
| ( ~ p7(Y)
& ~ p6(Y) )
| ( p7(Y)
& p8(Y) )
| ( ~ p8(Y)
& ~ p7(Y) )
| ( p8(Y)
& p9(Y) )
| ( ~ p9(Y)
& ~ p8(Y) )
| ( p9(Y)
& p10(Y) )
| ( ~ p10(Y)
& ~ p9(Y) )
| ( p10(Y)
& p11(Y) )
| ( ~ p11(Y)
& ~ p10(Y) )
| ( p11(Y)
& p12(Y) )
| ( ~ p12(Y)
& ~ p11(Y) )
| ( p12(Y)
& p13(Y) )
| ( ~ p13(Y)
& ~ p12(Y) )
| ( p13(Y)
& p14(Y) )
| ( ~ p14(Y)
& ~ p13(Y) )
| ( p14(Y)
& p15(Y) )
| ( ~ p15(Y)
& ~ p14(Y) )
| ( p15(Y)
& p16(Y) )
| ( ~ p16(Y)
& ~ p15(Y) )
| ( p16(Y)
& p17(Y) )
| ( ~ p17(Y)
& ~ p16(Y) )
| ( p17(Y)
& p18(Y) )
| ( ~ p18(Y)
& ~ p17(Y) )
| ( p18(Y)
& p19(Y) )
| ( ~ p19(Y)
& ~ p18(Y) )
| ( p19(Y)
& p20(Y) )
| ( ~ p20(Y)
& ~ p19(Y) )
| ( p20(Y)
& p21(Y) )
| ( ~ p21(Y)
& ~ p20(Y) )
| ( p21(Y)
& p22(Y) )
| ( ~ p22(Y)
& ~ p21(Y) )
| ( p22(Y)
& p23(Y) )
| ( ~ p23(Y)
& ~ p22(Y) )
| ( p23(Y)
& p24(Y) )
| ( ~ p24(Y)
& ~ p23(Y) )
| ( p24(Y)
& p25(Y) )
| ( ~ p25(Y)
& ~ p24(Y) )
| ( p25(Y)
& p26(Y) )
| ( ~ p26(Y)
& ~ p25(Y) )
| ( p26(Y)
& p27(Y) )
| ( ~ p27(Y)
& ~ p26(Y) )
| ( p27(Y)
& p28(Y) )
| ( ~ p28(Y)
& ~ p27(Y) )
| ( p28(Y)
& p29(Y) )
| ( ~ p29(Y)
& ~ p28(Y) )
| ( p29(Y)
& p30(Y) )
| ( ~ p30(Y)
& ~ p29(Y) )
| ( p30(Y)
& p31(Y) )
| ( ~ p31(Y)
& ~ p30(Y) )
| ( p31(Y)
& p32(Y) )
| ( ~ p32(Y)
& ~ p31(Y) )
| ( p32(Y)
& p33(Y) )
| ( ~ p33(Y)
& ~ p32(Y) )
| ( p33(Y)
& p34(Y) )
| ( ~ p34(Y)
& ~ p33(Y) )
| ( p34(Y)
& p35(Y) )
| ( ~ p35(Y)
& ~ p34(Y) )
| ( p35(Y)
& p36(Y) )
| ( ~ p36(Y)
& ~ p35(Y) )
| ( p36(Y)
& p37(Y) )
| ( ~ p37(Y)
& ~ p36(Y) )
| ( p37(Y)
& p38(Y) )
| ( ~ p38(Y)
& ~ p37(Y) )
| ( p38(Y)
& p39(Y) )
| ( ~ p39(Y)
& ~ p38(Y) )
| ( p39(Y)
& p40(Y) )
| ( ~ p40(Y)
& ~ p39(Y) )
| ( p40(Y)
& p41(Y) )
| ( ~ p41(Y)
& ~ p40(Y) )
| ( p41(Y)
& p42(Y) )
| ( ~ p42(Y)
& ~ p41(Y) )
| ( p42(Y)
& p43(Y) )
| ( ~ p43(Y)
& ~ p42(Y) )
| ( p43(Y)
& p44(Y) )
| ( ~ p44(Y)
& ~ p43(Y) )
| ~ r1(X,Y) )
| ! [Y] :
( p45(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ( p1(Y)
& ~ p2(Y) )
| ( ~ p1(Y)
& p2(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p2(X)
& ~ p3(X) )
| ( ~ p2(X)
& p3(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p3(Y)
& ~ p4(Y) )
| ( ~ p3(Y)
& p4(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p4(X)
& ~ p5(X) )
| ( ~ p4(X)
& p5(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p5(Y)
& ~ p6(Y) )
| ( ~ p5(Y)
& p6(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p6(X)
& ~ p7(X) )
| ( ~ p6(X)
& p7(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p7(Y)
& ~ p8(Y) )
| ( ~ p7(Y)
& p8(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p8(X)
& ~ p9(X) )
| ( ~ p8(X)
& p9(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p9(Y)
& ~ p10(Y) )
| ( ~ p9(Y)
& p10(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p10(X)
& ~ p11(X) )
| ( ~ p10(X)
& p11(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p11(Y)
& ~ p12(Y) )
| ( ~ p11(Y)
& p12(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p12(X)
& ~ p13(X) )
| ( ~ p12(X)
& p13(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p13(Y)
& ~ p14(Y) )
| ( ~ p13(Y)
& p14(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p14(X)
& ~ p15(X) )
| ( ~ p14(X)
& p15(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p15(Y)
& ~ p16(Y) )
| ( ~ p15(Y)
& p16(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p16(X)
& ~ p17(X) )
| ( ~ p16(X)
& p17(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p17(Y)
& ~ p18(Y) )
| ( ~ p17(Y)
& p18(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p18(X)
& ~ p19(X) )
| ( ~ p18(X)
& p19(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p19(Y)
& ~ p20(Y) )
| ( ~ p19(Y)
& p20(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p20(X)
& ~ p21(X) )
| ( ~ p20(X)
& p21(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p21(Y)
& ~ p22(Y) )
| ( ~ p21(Y)
& p22(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p22(X)
& ~ p23(X) )
| ( ~ p22(X)
& p23(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p23(Y)
& ~ p24(Y) )
| ( ~ p23(Y)
& p24(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p24(X)
& ~ p25(X) )
| ( ~ p24(X)
& p25(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p25(Y)
& ~ p26(Y) )
| ( ~ p25(Y)
& p26(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p26(X)
& ~ p27(X) )
| ( ~ p26(X)
& p27(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p27(Y)
& ~ p28(Y) )
| ( ~ p27(Y)
& p28(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p28(X)
& ~ p29(X) )
| ( ~ p28(X)
& p29(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p29(Y)
& ~ p30(Y) )
| ( ~ p29(Y)
& p30(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p30(X)
& ~ p31(X) )
| ( ~ p30(X)
& p31(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p31(Y)
& ~ p32(Y) )
| ( ~ p31(Y)
& p32(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p32(X)
& ~ p33(X) )
| ( ~ p32(X)
& p33(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p33(Y)
& ~ p34(Y) )
| ( ~ p33(Y)
& p34(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p34(X)
& ~ p35(X) )
| ( ~ p34(X)
& p35(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p35(Y)
& ~ p36(Y) )
| ( ~ p35(Y)
& p36(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p36(X)
& ~ p37(X) )
| ( ~ p36(X)
& p37(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p37(Y)
& ~ p38(Y) )
| ( ~ p37(Y)
& p38(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p38(X)
& ~ p39(X) )
| ( ~ p38(X)
& p39(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p39(Y)
& ~ p40(Y) )
| ( ~ p39(Y)
& p40(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p40(X)
& ~ p41(X) )
| ( ~ p40(X)
& p41(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p41(Y)
& ~ p42(Y) )
| ( ~ p41(Y)
& p42(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p42(X)
& ~ p43(X) )
| ( ~ p42(X)
& p43(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p43(Y)
& ~ p44(Y) )
| ( ~ p43(Y)
& p44(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( $false
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| ~ p45(Y)
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f2_neg,negated_conjecture,
~ ~ ? [X] :
~ ( ! [Y] :
( ~ ! [X] :
( ~ ( ! [Y] :
( ( p1(Y)
& p2(Y) )
| ( ~ p2(Y)
& ~ p1(Y) )
| ( p2(Y)
& p3(Y) )
| ( ~ p3(Y)
& ~ p2(Y) )
| ( p3(Y)
& p4(Y) )
| ( ~ p4(Y)
& ~ p3(Y) )
| ( p4(Y)
& p5(Y) )
| ( ~ p5(Y)
& ~ p4(Y) )
| ( p5(Y)
& p6(Y) )
| ( ~ p6(Y)
& ~ p5(Y) )
| ( p6(Y)
& p7(Y) )
| ( ~ p7(Y)
& ~ p6(Y) )
| ( p7(Y)
& p8(Y) )
| ( ~ p8(Y)
& ~ p7(Y) )
| ( p8(Y)
& p9(Y) )
| ( ~ p9(Y)
& ~ p8(Y) )
| ( p9(Y)
& p10(Y) )
| ( ~ p10(Y)
& ~ p9(Y) )
| ( p10(Y)
& p11(Y) )
| ( ~ p11(Y)
& ~ p10(Y) )
| ( p11(Y)
& p12(Y) )
| ( ~ p12(Y)
& ~ p11(Y) )
| ( p12(Y)
& p13(Y) )
| ( ~ p13(Y)
& ~ p12(Y) )
| ( p13(Y)
& p14(Y) )
| ( ~ p14(Y)
& ~ p13(Y) )
| ( p14(Y)
& p15(Y) )
| ( ~ p15(Y)
& ~ p14(Y) )
| ( p15(Y)
& p16(Y) )
| ( ~ p16(Y)
& ~ p15(Y) )
| ( p16(Y)
& p17(Y) )
| ( ~ p17(Y)
& ~ p16(Y) )
| ( p17(Y)
& p18(Y) )
| ( ~ p18(Y)
& ~ p17(Y) )
| ( p18(Y)
& p19(Y) )
| ( ~ p19(Y)
& ~ p18(Y) )
| ( p19(Y)
& p20(Y) )
| ( ~ p20(Y)
& ~ p19(Y) )
| ( p20(Y)
& p21(Y) )
| ( ~ p21(Y)
& ~ p20(Y) )
| ( p21(Y)
& p22(Y) )
| ( ~ p22(Y)
& ~ p21(Y) )
| ( p22(Y)
& p23(Y) )
| ( ~ p23(Y)
& ~ p22(Y) )
| ( p23(Y)
& p24(Y) )
| ( ~ p24(Y)
& ~ p23(Y) )
| ( p24(Y)
& p25(Y) )
| ( ~ p25(Y)
& ~ p24(Y) )
| ( p25(Y)
& p26(Y) )
| ( ~ p26(Y)
& ~ p25(Y) )
| ( p26(Y)
& p27(Y) )
| ( ~ p27(Y)
& ~ p26(Y) )
| ( p27(Y)
& p28(Y) )
| ( ~ p28(Y)
& ~ p27(Y) )
| ( p28(Y)
& p29(Y) )
| ( ~ p29(Y)
& ~ p28(Y) )
| ( p29(Y)
& p30(Y) )
| ( ~ p30(Y)
& ~ p29(Y) )
| ( p30(Y)
& p31(Y) )
| ( ~ p31(Y)
& ~ p30(Y) )
| ( p31(Y)
& p32(Y) )
| ( ~ p32(Y)
& ~ p31(Y) )
| ( p32(Y)
& p33(Y) )
| ( ~ p33(Y)
& ~ p32(Y) )
| ( p33(Y)
& p34(Y) )
| ( ~ p34(Y)
& ~ p33(Y) )
| ( p34(Y)
& p35(Y) )
| ( ~ p35(Y)
& ~ p34(Y) )
| ( p35(Y)
& p36(Y) )
| ( ~ p36(Y)
& ~ p35(Y) )
| ( p36(Y)
& p37(Y) )
| ( ~ p37(Y)
& ~ p36(Y) )
| ( p37(Y)
& p38(Y) )
| ( ~ p38(Y)
& ~ p37(Y) )
| ( p38(Y)
& p39(Y) )
| ( ~ p39(Y)
& ~ p38(Y) )
| ( p39(Y)
& p40(Y) )
| ( ~ p40(Y)
& ~ p39(Y) )
| ( p40(Y)
& p41(Y) )
| ( ~ p41(Y)
& ~ p40(Y) )
| ( p41(Y)
& p42(Y) )
| ( ~ p42(Y)
& ~ p41(Y) )
| ( p42(Y)
& p43(Y) )
| ( ~ p43(Y)
& ~ p42(Y) )
| ( p43(Y)
& p44(Y) )
| ( ~ p44(Y)
& ~ p43(Y) )
| ~ r1(X,Y) )
| ! [Y] :
( p45(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ( p1(Y)
& ~ p2(Y) )
| ( ~ p1(Y)
& p2(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p2(X)
& ~ p3(X) )
| ( ~ p2(X)
& p3(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p3(Y)
& ~ p4(Y) )
| ( ~ p3(Y)
& p4(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p4(X)
& ~ p5(X) )
| ( ~ p4(X)
& p5(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p5(Y)
& ~ p6(Y) )
| ( ~ p5(Y)
& p6(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p6(X)
& ~ p7(X) )
| ( ~ p6(X)
& p7(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p7(Y)
& ~ p8(Y) )
| ( ~ p7(Y)
& p8(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p8(X)
& ~ p9(X) )
| ( ~ p8(X)
& p9(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p9(Y)
& ~ p10(Y) )
| ( ~ p9(Y)
& p10(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p10(X)
& ~ p11(X) )
| ( ~ p10(X)
& p11(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p11(Y)
& ~ p12(Y) )
| ( ~ p11(Y)
& p12(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p12(X)
& ~ p13(X) )
| ( ~ p12(X)
& p13(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p13(Y)
& ~ p14(Y) )
| ( ~ p13(Y)
& p14(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p14(X)
& ~ p15(X) )
| ( ~ p14(X)
& p15(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p15(Y)
& ~ p16(Y) )
| ( ~ p15(Y)
& p16(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p16(X)
& ~ p17(X) )
| ( ~ p16(X)
& p17(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p17(Y)
& ~ p18(Y) )
| ( ~ p17(Y)
& p18(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p18(X)
& ~ p19(X) )
| ( ~ p18(X)
& p19(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p19(Y)
& ~ p20(Y) )
| ( ~ p19(Y)
& p20(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p20(X)
& ~ p21(X) )
| ( ~ p20(X)
& p21(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p21(Y)
& ~ p22(Y) )
| ( ~ p21(Y)
& p22(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p22(X)
& ~ p23(X) )
| ( ~ p22(X)
& p23(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p23(Y)
& ~ p24(Y) )
| ( ~ p23(Y)
& p24(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p24(X)
& ~ p25(X) )
| ( ~ p24(X)
& p25(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p25(Y)
& ~ p26(Y) )
| ( ~ p25(Y)
& p26(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p26(X)
& ~ p27(X) )
| ( ~ p26(X)
& p27(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p27(Y)
& ~ p28(Y) )
| ( ~ p27(Y)
& p28(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p28(X)
& ~ p29(X) )
| ( ~ p28(X)
& p29(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p29(Y)
& ~ p30(Y) )
| ( ~ p29(Y)
& p30(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p30(X)
& ~ p31(X) )
| ( ~ p30(X)
& p31(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p31(Y)
& ~ p32(Y) )
| ( ~ p31(Y)
& p32(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p32(X)
& ~ p33(X) )
| ( ~ p32(X)
& p33(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p33(Y)
& ~ p34(Y) )
| ( ~ p33(Y)
& p34(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p34(X)
& ~ p35(X) )
| ( ~ p34(X)
& p35(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p35(Y)
& ~ p36(Y) )
| ( ~ p35(Y)
& p36(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p36(X)
& ~ p37(X) )
| ( ~ p36(X)
& p37(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p37(Y)
& ~ p38(Y) )
| ( ~ p37(Y)
& p38(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p38(X)
& ~ p39(X) )
| ( ~ p38(X)
& p39(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p39(Y)
& ~ p40(Y) )
| ( ~ p39(Y)
& p40(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p40(X)
& ~ p41(X) )
| ( ~ p40(X)
& p41(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p41(Y)
& ~ p42(Y) )
| ( ~ p41(Y)
& p42(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( ~ ! [X] :
( ~ ( ( p42(X)
& ~ p43(X) )
| ( ~ p42(X)
& p43(X) ) )
| ~ r1(Y,X) )
| ! [X] :
( ~ ! [Y] :
( ~ ( ( p43(Y)
& ~ p44(Y) )
| ( ~ p43(Y)
& p44(Y) ) )
| ~ r1(X,Y) )
| ! [Y] :
( $false
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ~ p1(X)
| ~ r1(Y,X) )
| ~ p45(Y)
| ~ r1(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f2_nnf,plain,
? [X] :
( ? [Y] :
( ! [X] :
( ( ? [Y] :
( ( ~ p1(Y)
| ~ p2(Y) )
& ( p2(Y)
| p1(Y) )
& ( ~ p2(Y)
| ~ p3(Y) )
& ( p3(Y)
| p2(Y) )
& ( ~ p3(Y)
| ~ p4(Y) )
& ( p4(Y)
| p3(Y) )
& ( ~ p4(Y)
| ~ p5(Y) )
& ( p5(Y)
| p4(Y) )
& ( ~ p5(Y)
| ~ p6(Y) )
& ( p6(Y)
| p5(Y) )
& ( ~ p6(Y)
| ~ p7(Y) )
& ( p7(Y)
| p6(Y) )
& ( ~ p7(Y)
| ~ p8(Y) )
& ( p8(Y)
| p7(Y) )
& ( ~ p8(Y)
| ~ p9(Y) )
& ( p9(Y)
| p8(Y) )
& ( ~ p9(Y)
| ~ p10(Y) )
& ( p10(Y)
| p9(Y) )
& ( ~ p10(Y)
| ~ p11(Y) )
& ( p11(Y)
| p10(Y) )
& ( ~ p11(Y)
| ~ p12(Y) )
& ( p12(Y)
| p11(Y) )
& ( ~ p12(Y)
| ~ p13(Y) )
& ( p13(Y)
| p12(Y) )
& ( ~ p13(Y)
| ~ p14(Y) )
& ( p14(Y)
| p13(Y) )
& ( ~ p14(Y)
| ~ p15(Y) )
& ( p15(Y)
| p14(Y) )
& ( ~ p15(Y)
| ~ p16(Y) )
& ( p16(Y)
| p15(Y) )
& ( ~ p16(Y)
| ~ p17(Y) )
& ( p17(Y)
| p16(Y) )
& ( ~ p17(Y)
| ~ p18(Y) )
& ( p18(Y)
| p17(Y) )
& ( ~ p18(Y)
| ~ p19(Y) )
& ( p19(Y)
| p18(Y) )
& ( ~ p19(Y)
| ~ p20(Y) )
& ( p20(Y)
| p19(Y) )
& ( ~ p20(Y)
| ~ p21(Y) )
& ( p21(Y)
| p20(Y) )
& ( ~ p21(Y)
| ~ p22(Y) )
& ( p22(Y)
| p21(Y) )
& ( ~ p22(Y)
| ~ p23(Y) )
& ( p23(Y)
| p22(Y) )
& ( ~ p23(Y)
| ~ p24(Y) )
& ( p24(Y)
| p23(Y) )
& ( ~ p24(Y)
| ~ p25(Y) )
& ( p25(Y)
| p24(Y) )
& ( ~ p25(Y)
| ~ p26(Y) )
& ( p26(Y)
| p25(Y) )
& ( ~ p26(Y)
| ~ p27(Y) )
& ( p27(Y)
| p26(Y) )
& ( ~ p27(Y)
| ~ p28(Y) )
& ( p28(Y)
| p27(Y) )
& ( ~ p28(Y)
| ~ p29(Y) )
& ( p29(Y)
| p28(Y) )
& ( ~ p29(Y)
| ~ p30(Y) )
& ( p30(Y)
| p29(Y) )
& ( ~ p30(Y)
| ~ p31(Y) )
& ( p31(Y)
| p30(Y) )
& ( ~ p31(Y)
| ~ p32(Y) )
& ( p32(Y)
| p31(Y) )
& ( ~ p32(Y)
| ~ p33(Y) )
& ( p33(Y)
| p32(Y) )
& ( ~ p33(Y)
| ~ p34(Y) )
& ( p34(Y)
| p33(Y) )
& ( ~ p34(Y)
| ~ p35(Y) )
& ( p35(Y)
| p34(Y) )
& ( ~ p35(Y)
| ~ p36(Y) )
& ( p36(Y)
| p35(Y) )
& ( ~ p36(Y)
| ~ p37(Y) )
& ( p37(Y)
| p36(Y) )
& ( ~ p37(Y)
| ~ p38(Y) )
& ( p38(Y)
| p37(Y) )
& ( ~ p38(Y)
| ~ p39(Y) )
& ( p39(Y)
| p38(Y) )
& ( ~ p39(Y)
| ~ p40(Y) )
& ( p40(Y)
| p39(Y) )
& ( ~ p40(Y)
| ~ p41(Y) )
& ( p41(Y)
| p40(Y) )
& ( ~ p41(Y)
| ~ p42(Y) )
& ( p42(Y)
| p41(Y) )
& ( ~ p42(Y)
| ~ p43(Y) )
& ( p43(Y)
| p42(Y) )
& ( ~ p43(Y)
| ~ p44(Y) )
& ( p44(Y)
| p43(Y) )
& r1(X,Y) )
& ? [Y] :
( ~ p45(Y)
& r1(X,Y) )
& ! [Y] :
( ( ( ~ p1(Y)
| p2(Y) )
& ( p1(Y)
| ~ p2(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p2(X)
| p3(X) )
& ( p2(X)
| ~ p3(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p3(Y)
| p4(Y) )
& ( p3(Y)
| ~ p4(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p4(X)
| p5(X) )
& ( p4(X)
| ~ p5(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p5(Y)
| p6(Y) )
& ( p5(Y)
| ~ p6(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p6(X)
| p7(X) )
& ( p6(X)
| ~ p7(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p7(Y)
| p8(Y) )
& ( p7(Y)
| ~ p8(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p8(X)
| p9(X) )
& ( p8(X)
| ~ p9(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p9(Y)
| p10(Y) )
& ( p9(Y)
| ~ p10(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p10(X)
| p11(X) )
& ( p10(X)
| ~ p11(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p11(Y)
| p12(Y) )
& ( p11(Y)
| ~ p12(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p12(X)
| p13(X) )
& ( p12(X)
| ~ p13(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p13(Y)
| p14(Y) )
& ( p13(Y)
| ~ p14(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p14(X)
| p15(X) )
& ( p14(X)
| ~ p15(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p15(Y)
| p16(Y) )
& ( p15(Y)
| ~ p16(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p16(X)
| p17(X) )
& ( p16(X)
| ~ p17(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p17(Y)
| p18(Y) )
& ( p17(Y)
| ~ p18(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p18(X)
| p19(X) )
& ( p18(X)
| ~ p19(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p19(Y)
| p20(Y) )
& ( p19(Y)
| ~ p20(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p20(X)
| p21(X) )
& ( p20(X)
| ~ p21(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p21(Y)
| p22(Y) )
& ( p21(Y)
| ~ p22(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p22(X)
| p23(X) )
& ( p22(X)
| ~ p23(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p23(Y)
| p24(Y) )
& ( p23(Y)
| ~ p24(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p24(X)
| p25(X) )
& ( p24(X)
| ~ p25(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p25(Y)
| p26(Y) )
& ( p25(Y)
| ~ p26(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p26(X)
| p27(X) )
& ( p26(X)
| ~ p27(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p27(Y)
| p28(Y) )
& ( p27(Y)
| ~ p28(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p28(X)
| p29(X) )
& ( p28(X)
| ~ p29(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p29(Y)
| p30(Y) )
& ( p29(Y)
| ~ p30(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p30(X)
| p31(X) )
& ( p30(X)
| ~ p31(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p31(Y)
| p32(Y) )
& ( p31(Y)
| ~ p32(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p32(X)
| p33(X) )
& ( p32(X)
| ~ p33(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p33(Y)
| p34(Y) )
& ( p33(Y)
| ~ p34(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p34(X)
| p35(X) )
& ( p34(X)
| ~ p35(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p35(Y)
| p36(Y) )
& ( p35(Y)
| ~ p36(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p36(X)
| p37(X) )
& ( p36(X)
| ~ p37(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p37(Y)
| p38(Y) )
& ( p37(Y)
| ~ p38(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p38(X)
| p39(X) )
& ( p38(X)
| ~ p39(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p39(Y)
| p40(Y) )
& ( p39(Y)
| ~ p40(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p40(X)
| p41(X) )
& ( p40(X)
| ~ p41(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p41(Y)
| p42(Y) )
& ( p41(Y)
| ~ p42(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ! [X] :
( ( ( ~ p42(X)
| p43(X) )
& ( p42(X)
| ~ p43(X) ) )
| ~ r1(Y,X) )
& ? [X] :
( ! [Y] :
( ( ( ~ p43(Y)
| p44(Y) )
& ( p43(Y)
| ~ p44(Y) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ~ $false
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) ) )
| ~ r1(Y,X) )
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( p1(X)
& r1(Y,X) )
& p45(Y)
& r1(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f2_neg]) ).
fof(f2_sk,plain,
! [X,Y] :
( ( ( ( ~ p1(sk48(X))
| ~ p2(sk48(X)) )
& ( p2(sk48(X))
| p1(sk48(X)) )
& ( ~ p2(sk48(X))
| ~ p3(sk48(X)) )
& ( p3(sk48(X))
| p2(sk48(X)) )
& ( ~ p3(sk48(X))
| ~ p4(sk48(X)) )
& ( p4(sk48(X))
| p3(sk48(X)) )
& ( ~ p4(sk48(X))
| ~ p5(sk48(X)) )
& ( p5(sk48(X))
| p4(sk48(X)) )
& ( ~ p5(sk48(X))
| ~ p6(sk48(X)) )
& ( p6(sk48(X))
| p5(sk48(X)) )
& ( ~ p6(sk48(X))
| ~ p7(sk48(X)) )
& ( p7(sk48(X))
| p6(sk48(X)) )
& ( ~ p7(sk48(X))
| ~ p8(sk48(X)) )
& ( p8(sk48(X))
| p7(sk48(X)) )
& ( ~ p8(sk48(X))
| ~ p9(sk48(X)) )
& ( p9(sk48(X))
| p8(sk48(X)) )
& ( ~ p9(sk48(X))
| ~ p10(sk48(X)) )
& ( p10(sk48(X))
| p9(sk48(X)) )
& ( ~ p10(sk48(X))
| ~ p11(sk48(X)) )
& ( p11(sk48(X))
| p10(sk48(X)) )
& ( ~ p11(sk48(X))
| ~ p12(sk48(X)) )
& ( p12(sk48(X))
| p11(sk48(X)) )
& ( ~ p12(sk48(X))
| ~ p13(sk48(X)) )
& ( p13(sk48(X))
| p12(sk48(X)) )
& ( ~ p13(sk48(X))
| ~ p14(sk48(X)) )
& ( p14(sk48(X))
| p13(sk48(X)) )
& ( ~ p14(sk48(X))
| ~ p15(sk48(X)) )
& ( p15(sk48(X))
| p14(sk48(X)) )
& ( ~ p15(sk48(X))
| ~ p16(sk48(X)) )
& ( p16(sk48(X))
| p15(sk48(X)) )
& ( ~ p16(sk48(X))
| ~ p17(sk48(X)) )
& ( p17(sk48(X))
| p16(sk48(X)) )
& ( ~ p17(sk48(X))
| ~ p18(sk48(X)) )
& ( p18(sk48(X))
| p17(sk48(X)) )
& ( ~ p18(sk48(X))
| ~ p19(sk48(X)) )
& ( p19(sk48(X))
| p18(sk48(X)) )
& ( ~ p19(sk48(X))
| ~ p20(sk48(X)) )
& ( p20(sk48(X))
| p19(sk48(X)) )
& ( ~ p20(sk48(X))
| ~ p21(sk48(X)) )
& ( p21(sk48(X))
| p20(sk48(X)) )
& ( ~ p21(sk48(X))
| ~ p22(sk48(X)) )
& ( p22(sk48(X))
| p21(sk48(X)) )
& ( ~ p22(sk48(X))
| ~ p23(sk48(X)) )
& ( p23(sk48(X))
| p22(sk48(X)) )
& ( ~ p23(sk48(X))
| ~ p24(sk48(X)) )
& ( p24(sk48(X))
| p23(sk48(X)) )
& ( ~ p24(sk48(X))
| ~ p25(sk48(X)) )
& ( p25(sk48(X))
| p24(sk48(X)) )
& ( ~ p25(sk48(X))
| ~ p26(sk48(X)) )
& ( p26(sk48(X))
| p25(sk48(X)) )
& ( ~ p26(sk48(X))
| ~ p27(sk48(X)) )
& ( p27(sk48(X))
| p26(sk48(X)) )
& ( ~ p27(sk48(X))
| ~ p28(sk48(X)) )
& ( p28(sk48(X))
| p27(sk48(X)) )
& ( ~ p28(sk48(X))
| ~ p29(sk48(X)) )
& ( p29(sk48(X))
| p28(sk48(X)) )
& ( ~ p29(sk48(X))
| ~ p30(sk48(X)) )
& ( p30(sk48(X))
| p29(sk48(X)) )
& ( ~ p30(sk48(X))
| ~ p31(sk48(X)) )
& ( p31(sk48(X))
| p30(sk48(X)) )
& ( ~ p31(sk48(X))
| ~ p32(sk48(X)) )
& ( p32(sk48(X))
| p31(sk48(X)) )
& ( ~ p32(sk48(X))
| ~ p33(sk48(X)) )
& ( p33(sk48(X))
| p32(sk48(X)) )
& ( ~ p33(sk48(X))
| ~ p34(sk48(X)) )
& ( p34(sk48(X))
| p33(sk48(X)) )
& ( ~ p34(sk48(X))
| ~ p35(sk48(X)) )
& ( p35(sk48(X))
| p34(sk48(X)) )
& ( ~ p35(sk48(X))
| ~ p36(sk48(X)) )
& ( p36(sk48(X))
| p35(sk48(X)) )
& ( ~ p36(sk48(X))
| ~ p37(sk48(X)) )
& ( p37(sk48(X))
| p36(sk48(X)) )
& ( ~ p37(sk48(X))
| ~ p38(sk48(X)) )
& ( p38(sk48(X))
| p37(sk48(X)) )
& ( ~ p38(sk48(X))
| ~ p39(sk48(X)) )
& ( p39(sk48(X))
| p38(sk48(X)) )
& ( ~ p39(sk48(X))
| ~ p40(sk48(X)) )
& ( p40(sk48(X))
| p39(sk48(X)) )
& ( ~ p40(sk48(X))
| ~ p41(sk48(X)) )
& ( p41(sk48(X))
| p40(sk48(X)) )
& ( ~ p41(sk48(X))
| ~ p42(sk48(X)) )
& ( p42(sk48(X))
| p41(sk48(X)) )
& ( ~ p42(sk48(X))
| ~ p43(sk48(X)) )
& ( p43(sk48(X))
| p42(sk48(X)) )
& ( ~ p43(sk48(X))
| ~ p44(sk48(X)) )
& ( p44(sk48(X))
| p43(sk48(X)) )
& r1(X,sk48(X))
& ~ p45(sk47(X))
& r1(X,sk47(X))
& ( ( ( ~ p1(Y)
| p2(Y) )
& ( p1(Y)
| ~ p2(Y) ) )
| ~ r1(X,Y) )
& ( ( ( ~ p2(X)
| p3(X) )
& ( p2(X)
| ~ p3(X) ) )
| ~ r1(sk4(X),X) )
& ( ( ( ~ p3(Y)
| p4(Y) )
& ( p3(Y)
| ~ p4(Y) ) )
| ~ r1(sk5(X),Y) )
& ( ( ( ~ p4(X)
| p5(X) )
& ( p4(X)
| ~ p5(X) ) )
| ~ r1(sk6(X),X) )
& ( ( ( ~ p5(Y)
| p6(Y) )
& ( p5(Y)
| ~ p6(Y) ) )
| ~ r1(sk7(X),Y) )
& ( ( ( ~ p6(X)
| p7(X) )
& ( p6(X)
| ~ p7(X) ) )
| ~ r1(sk8(X),X) )
& ( ( ( ~ p7(Y)
| p8(Y) )
& ( p7(Y)
| ~ p8(Y) ) )
| ~ r1(sk9(X),Y) )
& ( ( ( ~ p8(X)
| p9(X) )
& ( p8(X)
| ~ p9(X) ) )
| ~ r1(sk10(X),X) )
& ( ( ( ~ p9(Y)
| p10(Y) )
& ( p9(Y)
| ~ p10(Y) ) )
| ~ r1(sk11(X),Y) )
& ( ( ( ~ p10(X)
| p11(X) )
& ( p10(X)
| ~ p11(X) ) )
| ~ r1(sk12(X),X) )
& ( ( ( ~ p11(Y)
| p12(Y) )
& ( p11(Y)
| ~ p12(Y) ) )
| ~ r1(sk13(X),Y) )
& ( ( ( ~ p12(X)
| p13(X) )
& ( p12(X)
| ~ p13(X) ) )
| ~ r1(sk14(X),X) )
& ( ( ( ~ p13(Y)
| p14(Y) )
& ( p13(Y)
| ~ p14(Y) ) )
| ~ r1(sk15(X),Y) )
& ( ( ( ~ p14(X)
| p15(X) )
& ( p14(X)
| ~ p15(X) ) )
| ~ r1(sk16(X),X) )
& ( ( ( ~ p15(Y)
| p16(Y) )
& ( p15(Y)
| ~ p16(Y) ) )
| ~ r1(sk17(X),Y) )
& ( ( ( ~ p16(X)
| p17(X) )
& ( p16(X)
| ~ p17(X) ) )
| ~ r1(sk18(X),X) )
& ( ( ( ~ p17(Y)
| p18(Y) )
& ( p17(Y)
| ~ p18(Y) ) )
| ~ r1(sk19(X),Y) )
& ( ( ( ~ p18(X)
| p19(X) )
& ( p18(X)
| ~ p19(X) ) )
| ~ r1(sk20(X),X) )
& ( ( ( ~ p19(Y)
| p20(Y) )
& ( p19(Y)
| ~ p20(Y) ) )
| ~ r1(sk21(X),Y) )
& ( ( ( ~ p20(X)
| p21(X) )
& ( p20(X)
| ~ p21(X) ) )
| ~ r1(sk22(X),X) )
& ( ( ( ~ p21(Y)
| p22(Y) )
& ( p21(Y)
| ~ p22(Y) ) )
| ~ r1(sk23(X),Y) )
& ( ( ( ~ p22(X)
| p23(X) )
& ( p22(X)
| ~ p23(X) ) )
| ~ r1(sk24(X),X) )
& ( ( ( ~ p23(Y)
| p24(Y) )
& ( p23(Y)
| ~ p24(Y) ) )
| ~ r1(sk25(X),Y) )
& ( ( ( ~ p24(X)
| p25(X) )
& ( p24(X)
| ~ p25(X) ) )
| ~ r1(sk26(X),X) )
& ( ( ( ~ p25(Y)
| p26(Y) )
& ( p25(Y)
| ~ p26(Y) ) )
| ~ r1(sk27(X),Y) )
& ( ( ( ~ p26(X)
| p27(X) )
& ( p26(X)
| ~ p27(X) ) )
| ~ r1(sk28(X),X) )
& ( ( ( ~ p27(Y)
| p28(Y) )
& ( p27(Y)
| ~ p28(Y) ) )
| ~ r1(sk29(X),Y) )
& ( ( ( ~ p28(X)
| p29(X) )
& ( p28(X)
| ~ p29(X) ) )
| ~ r1(sk30(X),X) )
& ( ( ( ~ p29(Y)
| p30(Y) )
& ( p29(Y)
| ~ p30(Y) ) )
| ~ r1(sk31(X),Y) )
& ( ( ( ~ p30(X)
| p31(X) )
& ( p30(X)
| ~ p31(X) ) )
| ~ r1(sk32(X),X) )
& ( ( ( ~ p31(Y)
| p32(Y) )
& ( p31(Y)
| ~ p32(Y) ) )
| ~ r1(sk33(X),Y) )
& ( ( ( ~ p32(X)
| p33(X) )
& ( p32(X)
| ~ p33(X) ) )
| ~ r1(sk34(X),X) )
& ( ( ( ~ p33(Y)
| p34(Y) )
& ( p33(Y)
| ~ p34(Y) ) )
| ~ r1(sk35(X),Y) )
& ( ( ( ~ p34(X)
| p35(X) )
& ( p34(X)
| ~ p35(X) ) )
| ~ r1(sk36(X),X) )
& ( ( ( ~ p35(Y)
| p36(Y) )
& ( p35(Y)
| ~ p36(Y) ) )
| ~ r1(sk37(X),Y) )
& ( ( ( ~ p36(X)
| p37(X) )
& ( p36(X)
| ~ p37(X) ) )
| ~ r1(sk38(X),X) )
& ( ( ( ~ p37(Y)
| p38(Y) )
& ( p37(Y)
| ~ p38(Y) ) )
| ~ r1(sk39(X),Y) )
& ( ( ( ~ p38(X)
| p39(X) )
& ( p38(X)
| ~ p39(X) ) )
| ~ r1(sk40(X),X) )
& ( ( ( ~ p39(Y)
| p40(Y) )
& ( p39(Y)
| ~ p40(Y) ) )
| ~ r1(sk41(X),Y) )
& ( ( ( ~ p40(X)
| p41(X) )
& ( p40(X)
| ~ p41(X) ) )
| ~ r1(sk42(X),X) )
& ( ( ( ~ p41(Y)
| p42(Y) )
& ( p41(Y)
| ~ p42(Y) ) )
| ~ r1(sk43(X),Y) )
& ( ( ( ~ p42(X)
| p43(X) )
& ( p42(X)
| ~ p43(X) ) )
| ~ r1(sk44(X),X) )
& ( ( ( ~ p43(Y)
| p44(Y) )
& ( p43(Y)
| ~ p44(Y) ) )
| ~ r1(sk45(X),Y) )
& ~ $false
& r1(sk45(X),sk46(X))
& r1(sk44(sk45(X)),sk45(X))
& r1(sk43(X),sk44(X))
& r1(sk42(sk43(X)),sk43(X))
& r1(sk41(X),sk42(X))
& r1(sk40(sk41(X)),sk41(X))
& r1(sk39(X),sk40(X))
& r1(sk38(sk39(X)),sk39(X))
& r1(sk37(X),sk38(X))
& r1(sk36(sk37(X)),sk37(X))
& r1(sk35(X),sk36(X))
& r1(sk34(sk35(X)),sk35(X))
& r1(sk33(X),sk34(X))
& r1(sk32(sk33(X)),sk33(X))
& r1(sk31(X),sk32(X))
& r1(sk30(sk31(X)),sk31(X))
& r1(sk29(X),sk30(X))
& r1(sk28(sk29(X)),sk29(X))
& r1(sk27(X),sk28(X))
& r1(sk26(sk27(X)),sk27(X))
& r1(sk25(X),sk26(X))
& r1(sk24(sk25(X)),sk25(X))
& r1(sk23(X),sk24(X))
& r1(sk22(sk23(X)),sk23(X))
& r1(sk21(X),sk22(X))
& r1(sk20(sk21(X)),sk21(X))
& r1(sk19(X),sk20(X))
& r1(sk18(sk19(X)),sk19(X))
& r1(sk17(X),sk18(X))
& r1(sk16(sk17(X)),sk17(X))
& r1(sk15(X),sk16(X))
& r1(sk14(sk15(X)),sk15(X))
& r1(sk13(X),sk14(X))
& r1(sk12(sk13(X)),sk13(X))
& r1(sk11(X),sk12(X))
& r1(sk10(sk11(X)),sk11(X))
& r1(sk9(X),sk10(X))
& r1(sk8(sk9(X)),sk9(X))
& r1(sk7(X),sk8(X))
& r1(sk6(sk7(X)),sk7(X))
& r1(sk5(X),sk6(X))
& r1(sk4(sk5(X)),sk5(X))
& r1(X,sk4(X)) )
| ~ r1(sk3,X) )
& r1(sk0,sk3)
& p1(sk2)
& r1(sk1,sk2)
& p45(sk1)
& r1(sk0,sk1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3,sk4,sk5,sk6,sk7,sk8,sk9,sk10,sk11,sk12,sk13,sk14,sk15,sk16,sk17,sk18,sk19,sk20,sk21,sk22,sk23,sk24,sk25,sk26,sk27,sk28,sk29,sk30,sk31,sk32,sk33,sk34,sk35,sk36,sk37,sk38,sk39,sk40,sk41,sk42,sk43,sk44,sk45,sk46,sk47,sk48])],[f2_nnf]) ).
cnf(c136,plain,
( ~ p1(X1)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sk3,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p362,plain,
( ~ p1(X0)
| p2(X0)
| ~ r1(sk3,X0) ),
inference(resolution,[status(thm)],[c0,c136]) ).
cnf(c139,plain,
( r1(X0,sk48(X0))
| ~ r1(sk3,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p232,plain,
r1(sk3,sk48(sk3)),
inference(resolution,[status(thm)],[c0,c139]) ).
cnf(p1238,plain,
( ~ p1(sk48(sk3))
| p2(sk48(sk3)) ),
inference(resolution,[status(thm)],[p362,p232]) ).
cnf(c135,plain,
( p1(X1)
| ~ p2(X1)
| ~ r1(X0,X1)
| ~ r1(sk3,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p361,plain,
( p1(X0)
| ~ p2(X0)
| ~ r1(sk3,X0) ),
inference(resolution,[status(thm)],[c0,c135]) ).
cnf(p1188,plain,
( p1(sk48(sk3))
| ~ p2(sk48(sk3)) ),
inference(resolution,[status(thm)],[p361,p232]) ).
cnf(c224,plain,
( p2(sk48(X0))
| p1(sk48(X0))
| ~ r1(sk3,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p359,plain,
( p2(sk48(sk3))
| p1(sk48(sk3)) ),
inference(resolution,[status(thm)],[c0,c224]) ).
cnf(p1190,plain,
( p1(sk48(sk3))
| p1(sk48(sk3)) ),
inference(resolution,[status(thm)],[p1188,p359]) ).
cnf(p1192,plain,
p1(sk48(sk3)),
inference(factoring,[status(thm)],[p1190]) ).
cnf(p1239,plain,
p2(sk48(sk3)),
inference(resolution,[status(thm)],[p1238,p1192]) ).
cnf(c225,plain,
( ~ p1(sk48(X0))
| ~ p2(sk48(X0))
| ~ r1(sk3,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p360,plain,
( ~ p1(sk48(sk3))
| ~ p2(sk48(sk3)) ),
inference(resolution,[status(thm)],[c0,c225]) ).
cnf(c222,plain,
( p3(sk48(X0))
| p2(sk48(X0))
| ~ r1(sk3,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p357,plain,
( p3(sk48(sk3))
| p2(sk48(sk3)) ),
inference(resolution,[status(thm)],[c0,c222]) ).
cnf(p1142,plain,
( p3(sk48(sk3))
| ~ p1(sk48(sk3)) ),
inference(resolution,[status(thm)],[p360,p357]) ).
cnf(p1193,plain,
p3(sk48(sk3)),
inference(resolution,[status(thm)],[p1192,p1142]) ).
cnf(c223,plain,
( ~ p2(sk48(X0))
| ~ p3(sk48(X0))
| ~ r1(sk3,X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p358,plain,
( ~ p2(sk48(sk3))
| ~ p3(sk48(sk3)) ),
inference(resolution,[status(thm)],[c0,c223]) ).
cnf(p1194,plain,
~ p2(sk48(sk3)),
inference(resolution,[status(thm)],[p1193,p358]) ).
cnf(p1240,plain,
$false,
inference(resolution,[status(thm)],[p1239,p1194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL686+1.015 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.41 % Computer : n007.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Thu Sep 24 00:18:08 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.12/2.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.12/2.93 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------