%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL686+1.020 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n031.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 : Mon Sep 7 12:14:22 PM UTC 2026
% Result : Theorem 3.34s 0.82s
% Output : CNFRefutation 3.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 23 ( 5 unt; 0 def)
% Number of atoms : 1233 ( 0 equ)
% Maximal formula atoms : 590 ( 53 avg)
% Number of connectives : 2195 ( 985 ~; 746 |; 464 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 191 ( 20 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 62 ( 61 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 258 ( 0 sgn 245 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,plain,
~ ? [X] :
~ ( ! [Y] :
( ~ r1(X,Y)
| ~ p60(Y)
| ! [X] :
( ~ r1(Y,X)
| ~ p1(X) ) )
| ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| $false )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p59(X)
& ~ p58(X) )
| ( ~ p59(X)
& p58(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p58(Y)
& ~ p57(Y) )
| ( ~ p58(Y)
& p57(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p57(X)
& ~ p56(X) )
| ( ~ p57(X)
& p56(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p56(Y)
& ~ p55(Y) )
| ( ~ p56(Y)
& p55(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p55(X)
& ~ p54(X) )
| ( ~ p55(X)
& p54(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p54(Y)
& ~ p53(Y) )
| ( ~ p54(Y)
& p53(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p53(X)
& ~ p52(X) )
| ( ~ p53(X)
& p52(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p52(Y)
& ~ p51(Y) )
| ( ~ p52(Y)
& p51(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p51(X)
& ~ p50(X) )
| ( ~ p51(X)
& p50(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p50(Y)
& ~ p49(Y) )
| ( ~ p50(Y)
& p49(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p49(X)
& ~ p48(X) )
| ( ~ p49(X)
& p48(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p48(Y)
& ~ p47(Y) )
| ( ~ p48(Y)
& p47(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p47(X)
& ~ p46(X) )
| ( ~ p47(X)
& p46(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p46(Y)
& ~ p45(Y) )
| ( ~ p46(Y)
& p45(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p45(X)
& ~ p44(X) )
| ( ~ p45(X)
& p44(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p44(Y)
& ~ p43(Y) )
| ( ~ p44(Y)
& p43(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p43(X)
& ~ p42(X) )
| ( ~ p43(X)
& p42(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p42(Y)
& ~ p41(Y) )
| ( ~ p42(Y)
& p41(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p41(X)
& ~ p40(X) )
| ( ~ p41(X)
& p40(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p40(Y)
& ~ p39(Y) )
| ( ~ p40(Y)
& p39(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p39(X)
& ~ p38(X) )
| ( ~ p39(X)
& p38(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p38(Y)
& ~ p37(Y) )
| ( ~ p38(Y)
& p37(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p37(X)
& ~ p36(X) )
| ( ~ p37(X)
& p36(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p36(Y)
& ~ p35(Y) )
| ( ~ p36(Y)
& p35(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p35(X)
& ~ p34(X) )
| ( ~ p35(X)
& p34(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p34(Y)
& ~ p33(Y) )
| ( ~ p34(Y)
& p33(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p33(X)
& ~ p32(X) )
| ( ~ p33(X)
& p32(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p32(Y)
& ~ p31(Y) )
| ( ~ p32(Y)
& p31(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p31(X)
& ~ p30(X) )
| ( ~ p31(X)
& p30(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p30(Y)
& ~ p29(Y) )
| ( ~ p30(Y)
& p29(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p29(X)
& ~ p28(X) )
| ( ~ p29(X)
& p28(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p28(Y)
& ~ p27(Y) )
| ( ~ p28(Y)
& p27(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p27(X)
& ~ p26(X) )
| ( ~ p27(X)
& p26(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p26(Y)
& ~ p25(Y) )
| ( ~ p26(Y)
& p25(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p25(X)
& ~ p24(X) )
| ( ~ p25(X)
& p24(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p24(Y)
& ~ p23(Y) )
| ( ~ p24(Y)
& p23(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p23(X)
& ~ p22(X) )
| ( ~ p23(X)
& p22(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p22(Y)
& ~ p21(Y) )
| ( ~ p22(Y)
& p21(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p21(X)
& ~ p20(X) )
| ( ~ p21(X)
& p20(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p20(Y)
& ~ p19(Y) )
| ( ~ p20(Y)
& p19(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p19(X)
& ~ p18(X) )
| ( ~ p19(X)
& p18(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p18(Y)
& ~ p17(Y) )
| ( ~ p18(Y)
& p17(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p17(X)
& ~ p16(X) )
| ( ~ p17(X)
& p16(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p16(Y)
& ~ p15(Y) )
| ( ~ p16(Y)
& p15(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p15(X)
& ~ p14(X) )
| ( ~ p15(X)
& p14(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p14(Y)
& ~ p13(Y) )
| ( ~ p14(Y)
& p13(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p13(X)
& ~ p12(X) )
| ( ~ p13(X)
& p12(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p12(Y)
& ~ p11(Y) )
| ( ~ p12(Y)
& p11(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p11(X)
& ~ p10(X) )
| ( ~ p11(X)
& p10(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p10(Y)
& ~ p9(Y) )
| ( ~ p10(Y)
& p9(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p9(X)
& ~ p8(X) )
| ( ~ p9(X)
& p8(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p8(Y)
& ~ p7(Y) )
| ( ~ p8(Y)
& p7(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p7(X)
& ~ p6(X) )
| ( ~ p7(X)
& p6(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p6(Y)
& ~ p5(Y) )
| ( ~ p6(Y)
& p5(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p5(X)
& ~ p4(X) )
| ( ~ p5(X)
& p4(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p4(Y)
& ~ p3(Y) )
| ( ~ p4(Y)
& p3(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p3(X)
& ~ p2(X) )
| ( ~ p3(X)
& p2(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p2(Y)
& ~ p1(Y) )
| ( ~ p2(Y)
& p1(Y) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p60(Y) )
| ! [Y] :
( ~ r1(X,Y)
| ( ~ p58(Y)
& ~ p59(Y) )
| ( p59(Y)
& p58(Y) )
| ( ~ p57(Y)
& ~ p58(Y) )
| ( p58(Y)
& p57(Y) )
| ( ~ p56(Y)
& ~ p57(Y) )
| ( p57(Y)
& p56(Y) )
| ( ~ p55(Y)
& ~ p56(Y) )
| ( p56(Y)
& p55(Y) )
| ( ~ p54(Y)
& ~ p55(Y) )
| ( p55(Y)
& p54(Y) )
| ( ~ p53(Y)
& ~ p54(Y) )
| ( p54(Y)
& p53(Y) )
| ( ~ p52(Y)
& ~ p53(Y) )
| ( p53(Y)
& p52(Y) )
| ( ~ p51(Y)
& ~ p52(Y) )
| ( p52(Y)
& p51(Y) )
| ( ~ p50(Y)
& ~ p51(Y) )
| ( p51(Y)
& p50(Y) )
| ( ~ p49(Y)
& ~ p50(Y) )
| ( p50(Y)
& p49(Y) )
| ( ~ p48(Y)
& ~ p49(Y) )
| ( p49(Y)
& p48(Y) )
| ( ~ p47(Y)
& ~ p48(Y) )
| ( p48(Y)
& p47(Y) )
| ( ~ p46(Y)
& ~ p47(Y) )
| ( p47(Y)
& p46(Y) )
| ( ~ p45(Y)
& ~ p46(Y) )
| ( p46(Y)
& p45(Y) )
| ( ~ p44(Y)
& ~ p45(Y) )
| ( p45(Y)
& p44(Y) )
| ( ~ p43(Y)
& ~ p44(Y) )
| ( p44(Y)
& p43(Y) )
| ( ~ p42(Y)
& ~ p43(Y) )
| ( p43(Y)
& p42(Y) )
| ( ~ p41(Y)
& ~ p42(Y) )
| ( p42(Y)
& p41(Y) )
| ( ~ p40(Y)
& ~ p41(Y) )
| ( p41(Y)
& p40(Y) )
| ( ~ p39(Y)
& ~ p40(Y) )
| ( p40(Y)
& p39(Y) )
| ( ~ p38(Y)
& ~ p39(Y) )
| ( p39(Y)
& p38(Y) )
| ( ~ p37(Y)
& ~ p38(Y) )
| ( p38(Y)
& p37(Y) )
| ( ~ p36(Y)
& ~ p37(Y) )
| ( p37(Y)
& p36(Y) )
| ( ~ p35(Y)
& ~ p36(Y) )
| ( p36(Y)
& p35(Y) )
| ( ~ p34(Y)
& ~ p35(Y) )
| ( p35(Y)
& p34(Y) )
| ( ~ p33(Y)
& ~ p34(Y) )
| ( p34(Y)
& p33(Y) )
| ( ~ p32(Y)
& ~ p33(Y) )
| ( p33(Y)
& p32(Y) )
| ( ~ p31(Y)
& ~ p32(Y) )
| ( p32(Y)
& p31(Y) )
| ( ~ p30(Y)
& ~ p31(Y) )
| ( p31(Y)
& p30(Y) )
| ( ~ p29(Y)
& ~ p30(Y) )
| ( p30(Y)
& p29(Y) )
| ( ~ p28(Y)
& ~ p29(Y) )
| ( p29(Y)
& p28(Y) )
| ( ~ p27(Y)
& ~ p28(Y) )
| ( p28(Y)
& p27(Y) )
| ( ~ p26(Y)
& ~ p27(Y) )
| ( p27(Y)
& p26(Y) )
| ( ~ p25(Y)
& ~ p26(Y) )
| ( p26(Y)
& p25(Y) )
| ( ~ p24(Y)
& ~ p25(Y) )
| ( p25(Y)
& p24(Y) )
| ( ~ p23(Y)
& ~ p24(Y) )
| ( p24(Y)
& p23(Y) )
| ( ~ p22(Y)
& ~ p23(Y) )
| ( p23(Y)
& p22(Y) )
| ( ~ p21(Y)
& ~ p22(Y) )
| ( p22(Y)
& p21(Y) )
| ( ~ p20(Y)
& ~ p21(Y) )
| ( p21(Y)
& p20(Y) )
| ( ~ p19(Y)
& ~ p20(Y) )
| ( p20(Y)
& p19(Y) )
| ( ~ p18(Y)
& ~ p19(Y) )
| ( p19(Y)
& p18(Y) )
| ( ~ p17(Y)
& ~ p18(Y) )
| ( p18(Y)
& p17(Y) )
| ( ~ p16(Y)
& ~ p17(Y) )
| ( p17(Y)
& p16(Y) )
| ( ~ p15(Y)
& ~ p16(Y) )
| ( p16(Y)
& p15(Y) )
| ( ~ p14(Y)
& ~ p15(Y) )
| ( p15(Y)
& p14(Y) )
| ( ~ p13(Y)
& ~ p14(Y) )
| ( p14(Y)
& p13(Y) )
| ( ~ p12(Y)
& ~ p13(Y) )
| ( p13(Y)
& p12(Y) )
| ( ~ p11(Y)
& ~ p12(Y) )
| ( p12(Y)
& p11(Y) )
| ( ~ p10(Y)
& ~ p11(Y) )
| ( p11(Y)
& p10(Y) )
| ( ~ p9(Y)
& ~ p10(Y) )
| ( p10(Y)
& p9(Y) )
| ( ~ p8(Y)
& ~ p9(Y) )
| ( p9(Y)
& p8(Y) )
| ( ~ p7(Y)
& ~ p8(Y) )
| ( p8(Y)
& p7(Y) )
| ( ~ p6(Y)
& ~ p7(Y) )
| ( p7(Y)
& p6(Y) )
| ( ~ p5(Y)
& ~ p6(Y) )
| ( p6(Y)
& p5(Y) )
| ( ~ p4(Y)
& ~ p5(Y) )
| ( p5(Y)
& p4(Y) )
| ( ~ p3(Y)
& ~ p4(Y) )
| ( p4(Y)
& p3(Y) )
| ( ~ p2(Y)
& ~ p3(Y) )
| ( p3(Y)
& p2(Y) )
| ( ~ p1(Y)
& ~ p2(Y) )
| ( p2(Y)
& p1(Y) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(main_negated,plain,
~ ~ ? [X] :
~ ( ! [Y] :
( ~ r1(X,Y)
| ~ p60(Y)
| ! [X] :
( ~ r1(Y,X)
| ~ p1(X) ) )
| ! [Y] :
( ~ r1(X,Y)
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| ! [Y] :
( ~ r1(X,Y)
| ! [X] :
( ~ r1(Y,X)
| $false )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p59(X)
& ~ p58(X) )
| ( ~ p59(X)
& p58(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p58(Y)
& ~ p57(Y) )
| ( ~ p58(Y)
& p57(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p57(X)
& ~ p56(X) )
| ( ~ p57(X)
& p56(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p56(Y)
& ~ p55(Y) )
| ( ~ p56(Y)
& p55(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p55(X)
& ~ p54(X) )
| ( ~ p55(X)
& p54(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p54(Y)
& ~ p53(Y) )
| ( ~ p54(Y)
& p53(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p53(X)
& ~ p52(X) )
| ( ~ p53(X)
& p52(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p52(Y)
& ~ p51(Y) )
| ( ~ p52(Y)
& p51(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p51(X)
& ~ p50(X) )
| ( ~ p51(X)
& p50(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p50(Y)
& ~ p49(Y) )
| ( ~ p50(Y)
& p49(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p49(X)
& ~ p48(X) )
| ( ~ p49(X)
& p48(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p48(Y)
& ~ p47(Y) )
| ( ~ p48(Y)
& p47(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p47(X)
& ~ p46(X) )
| ( ~ p47(X)
& p46(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p46(Y)
& ~ p45(Y) )
| ( ~ p46(Y)
& p45(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p45(X)
& ~ p44(X) )
| ( ~ p45(X)
& p44(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p44(Y)
& ~ p43(Y) )
| ( ~ p44(Y)
& p43(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p43(X)
& ~ p42(X) )
| ( ~ p43(X)
& p42(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p42(Y)
& ~ p41(Y) )
| ( ~ p42(Y)
& p41(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p41(X)
& ~ p40(X) )
| ( ~ p41(X)
& p40(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p40(Y)
& ~ p39(Y) )
| ( ~ p40(Y)
& p39(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p39(X)
& ~ p38(X) )
| ( ~ p39(X)
& p38(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p38(Y)
& ~ p37(Y) )
| ( ~ p38(Y)
& p37(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p37(X)
& ~ p36(X) )
| ( ~ p37(X)
& p36(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p36(Y)
& ~ p35(Y) )
| ( ~ p36(Y)
& p35(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p35(X)
& ~ p34(X) )
| ( ~ p35(X)
& p34(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p34(Y)
& ~ p33(Y) )
| ( ~ p34(Y)
& p33(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p33(X)
& ~ p32(X) )
| ( ~ p33(X)
& p32(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p32(Y)
& ~ p31(Y) )
| ( ~ p32(Y)
& p31(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p31(X)
& ~ p30(X) )
| ( ~ p31(X)
& p30(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p30(Y)
& ~ p29(Y) )
| ( ~ p30(Y)
& p29(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p29(X)
& ~ p28(X) )
| ( ~ p29(X)
& p28(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p28(Y)
& ~ p27(Y) )
| ( ~ p28(Y)
& p27(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p27(X)
& ~ p26(X) )
| ( ~ p27(X)
& p26(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p26(Y)
& ~ p25(Y) )
| ( ~ p26(Y)
& p25(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p25(X)
& ~ p24(X) )
| ( ~ p25(X)
& p24(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p24(Y)
& ~ p23(Y) )
| ( ~ p24(Y)
& p23(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p23(X)
& ~ p22(X) )
| ( ~ p23(X)
& p22(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p22(Y)
& ~ p21(Y) )
| ( ~ p22(Y)
& p21(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p21(X)
& ~ p20(X) )
| ( ~ p21(X)
& p20(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p20(Y)
& ~ p19(Y) )
| ( ~ p20(Y)
& p19(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p19(X)
& ~ p18(X) )
| ( ~ p19(X)
& p18(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p18(Y)
& ~ p17(Y) )
| ( ~ p18(Y)
& p17(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p17(X)
& ~ p16(X) )
| ( ~ p17(X)
& p16(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p16(Y)
& ~ p15(Y) )
| ( ~ p16(Y)
& p15(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p15(X)
& ~ p14(X) )
| ( ~ p15(X)
& p14(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p14(Y)
& ~ p13(Y) )
| ( ~ p14(Y)
& p13(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p13(X)
& ~ p12(X) )
| ( ~ p13(X)
& p12(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p12(Y)
& ~ p11(Y) )
| ( ~ p12(Y)
& p11(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p11(X)
& ~ p10(X) )
| ( ~ p11(X)
& p10(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p10(Y)
& ~ p9(Y) )
| ( ~ p10(Y)
& p9(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p9(X)
& ~ p8(X) )
| ( ~ p9(X)
& p8(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p8(Y)
& ~ p7(Y) )
| ( ~ p8(Y)
& p7(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p7(X)
& ~ p6(X) )
| ( ~ p7(X)
& p6(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p6(Y)
& ~ p5(Y) )
| ( ~ p6(Y)
& p5(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p5(X)
& ~ p4(X) )
| ( ~ p5(X)
& p4(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p4(Y)
& ~ p3(Y) )
| ( ~ p4(Y)
& p3(Y) ) ) ) )
| ~ ! [X] :
( ~ r1(Y,X)
| ~ ( ( p3(X)
& ~ p2(X) )
| ( ~ p3(X)
& p2(X) ) ) ) )
| ~ ! [Y] :
( ~ r1(X,Y)
| ~ ( ( p2(Y)
& ~ p1(Y) )
| ( ~ p2(Y)
& p1(Y) ) ) )
| ! [Y] :
( ~ r1(X,Y)
| p60(Y) )
| ! [Y] :
( ~ r1(X,Y)
| ( ~ p58(Y)
& ~ p59(Y) )
| ( p59(Y)
& p58(Y) )
| ( ~ p57(Y)
& ~ p58(Y) )
| ( p58(Y)
& p57(Y) )
| ( ~ p56(Y)
& ~ p57(Y) )
| ( p57(Y)
& p56(Y) )
| ( ~ p55(Y)
& ~ p56(Y) )
| ( p56(Y)
& p55(Y) )
| ( ~ p54(Y)
& ~ p55(Y) )
| ( p55(Y)
& p54(Y) )
| ( ~ p53(Y)
& ~ p54(Y) )
| ( p54(Y)
& p53(Y) )
| ( ~ p52(Y)
& ~ p53(Y) )
| ( p53(Y)
& p52(Y) )
| ( ~ p51(Y)
& ~ p52(Y) )
| ( p52(Y)
& p51(Y) )
| ( ~ p50(Y)
& ~ p51(Y) )
| ( p51(Y)
& p50(Y) )
| ( ~ p49(Y)
& ~ p50(Y) )
| ( p50(Y)
& p49(Y) )
| ( ~ p48(Y)
& ~ p49(Y) )
| ( p49(Y)
& p48(Y) )
| ( ~ p47(Y)
& ~ p48(Y) )
| ( p48(Y)
& p47(Y) )
| ( ~ p46(Y)
& ~ p47(Y) )
| ( p47(Y)
& p46(Y) )
| ( ~ p45(Y)
& ~ p46(Y) )
| ( p46(Y)
& p45(Y) )
| ( ~ p44(Y)
& ~ p45(Y) )
| ( p45(Y)
& p44(Y) )
| ( ~ p43(Y)
& ~ p44(Y) )
| ( p44(Y)
& p43(Y) )
| ( ~ p42(Y)
& ~ p43(Y) )
| ( p43(Y)
& p42(Y) )
| ( ~ p41(Y)
& ~ p42(Y) )
| ( p42(Y)
& p41(Y) )
| ( ~ p40(Y)
& ~ p41(Y) )
| ( p41(Y)
& p40(Y) )
| ( ~ p39(Y)
& ~ p40(Y) )
| ( p40(Y)
& p39(Y) )
| ( ~ p38(Y)
& ~ p39(Y) )
| ( p39(Y)
& p38(Y) )
| ( ~ p37(Y)
& ~ p38(Y) )
| ( p38(Y)
& p37(Y) )
| ( ~ p36(Y)
& ~ p37(Y) )
| ( p37(Y)
& p36(Y) )
| ( ~ p35(Y)
& ~ p36(Y) )
| ( p36(Y)
& p35(Y) )
| ( ~ p34(Y)
& ~ p35(Y) )
| ( p35(Y)
& p34(Y) )
| ( ~ p33(Y)
& ~ p34(Y) )
| ( p34(Y)
& p33(Y) )
| ( ~ p32(Y)
& ~ p33(Y) )
| ( p33(Y)
& p32(Y) )
| ( ~ p31(Y)
& ~ p32(Y) )
| ( p32(Y)
& p31(Y) )
| ( ~ p30(Y)
& ~ p31(Y) )
| ( p31(Y)
& p30(Y) )
| ( ~ p29(Y)
& ~ p30(Y) )
| ( p30(Y)
& p29(Y) )
| ( ~ p28(Y)
& ~ p29(Y) )
| ( p29(Y)
& p28(Y) )
| ( ~ p27(Y)
& ~ p28(Y) )
| ( p28(Y)
& p27(Y) )
| ( ~ p26(Y)
& ~ p27(Y) )
| ( p27(Y)
& p26(Y) )
| ( ~ p25(Y)
& ~ p26(Y) )
| ( p26(Y)
& p25(Y) )
| ( ~ p24(Y)
& ~ p25(Y) )
| ( p25(Y)
& p24(Y) )
| ( ~ p23(Y)
& ~ p24(Y) )
| ( p24(Y)
& p23(Y) )
| ( ~ p22(Y)
& ~ p23(Y) )
| ( p23(Y)
& p22(Y) )
| ( ~ p21(Y)
& ~ p22(Y) )
| ( p22(Y)
& p21(Y) )
| ( ~ p20(Y)
& ~ p21(Y) )
| ( p21(Y)
& p20(Y) )
| ( ~ p19(Y)
& ~ p20(Y) )
| ( p20(Y)
& p19(Y) )
| ( ~ p18(Y)
& ~ p19(Y) )
| ( p19(Y)
& p18(Y) )
| ( ~ p17(Y)
& ~ p18(Y) )
| ( p18(Y)
& p17(Y) )
| ( ~ p16(Y)
& ~ p17(Y) )
| ( p17(Y)
& p16(Y) )
| ( ~ p15(Y)
& ~ p16(Y) )
| ( p16(Y)
& p15(Y) )
| ( ~ p14(Y)
& ~ p15(Y) )
| ( p15(Y)
& p14(Y) )
| ( ~ p13(Y)
& ~ p14(Y) )
| ( p14(Y)
& p13(Y) )
| ( ~ p12(Y)
& ~ p13(Y) )
| ( p13(Y)
& p12(Y) )
| ( ~ p11(Y)
& ~ p12(Y) )
| ( p12(Y)
& p11(Y) )
| ( ~ p10(Y)
& ~ p11(Y) )
| ( p11(Y)
& p10(Y) )
| ( ~ p9(Y)
& ~ p10(Y) )
| ( p10(Y)
& p9(Y) )
| ( ~ p8(Y)
& ~ p9(Y) )
| ( p9(Y)
& p8(Y) )
| ( ~ p7(Y)
& ~ p8(Y) )
| ( p8(Y)
& p7(Y) )
| ( ~ p6(Y)
& ~ p7(Y) )
| ( p7(Y)
& p6(Y) )
| ( ~ p5(Y)
& ~ p6(Y) )
| ( p6(Y)
& p5(Y) )
| ( ~ p4(Y)
& ~ p5(Y) )
| ( p5(Y)
& p4(Y) )
| ( ~ p3(Y)
& ~ p4(Y) )
| ( p4(Y)
& p3(Y) )
| ( ~ p2(Y)
& ~ p3(Y) )
| ( p3(Y)
& p2(Y) )
| ( ~ p1(Y)
& ~ p2(Y) )
| ( p2(Y)
& p1(Y) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[main]) ).
cnf(7,plain,
( ~ r1(sK4,X0)
| r1(X0,sK5(X0)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l0,plain,
( ~ r1(sK4,sK4)
| r1(sK4,sK5(sK4)) ),
inference(instantiation,[status(thm)],[7]) ).
fof(reflexivity,plain,
! [X] : r1(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
cnf(0,plain,
r1(X0,X0),
inference(cnf,[status(esa)],[reflexivity]) ).
cnf(l1,plain,
r1(sK4,sK4),
inference(instantiation,[status(thm)],[0]) ).
cnf(179,plain,
( ~ p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK4,X1)
| p1(X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l18,plain,
( ~ p2(sK64(sK5(sK4)))
| ~ r1(sK5(sK4),sK64(sK5(sK4)))
| ~ r1(sK4,sK5(sK4))
| p1(sK64(sK5(sK4))) ),
inference(instantiation,[status(thm)],[179]) ).
cnf(177,plain,
( ~ p3(X0)
| ~ r1(sK5(X1),X0)
| ~ r1(sK4,X1)
| p2(X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l27,plain,
( ~ p3(sK64(sK5(sK4)))
| ~ r1(sK5(sK4),sK64(sK5(sK4)))
| ~ r1(sK4,sK4)
| p2(sK64(sK5(sK4))) ),
inference(instantiation,[status(thm)],[177]) ).
cnf(296,plain,
( ~ r1(sK4,X0)
| p3(sK64(X0))
| p2(sK64(X0)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l33,plain,
( ~ r1(sK4,sK5(sK4))
| p3(sK64(sK5(sK4)))
| p2(sK64(sK5(sK4))) ),
inference(instantiation,[status(thm)],[296]) ).
cnf(183,plain,
( ~ r1(sK4,X0)
| r1(X0,sK64(X0)) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l23,plain,
( ~ r1(sK4,sK5(sK4))
| r1(sK5(sK4),sK64(sK5(sK4))) ),
inference(instantiation,[status(thm)],[183]) ).
cnf(l28,plain,
( ~ r1(sK4,sK5(sK4))
| r1(sK5(sK4),sK64(sK5(sK4))) ),
inference(instantiation,[status(thm)],[183]) ).
cnf(180,plain,
( ~ p1(X0)
| ~ r1(X1,X0)
| ~ r1(sK4,X1)
| p2(X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l30,plain,
( ~ p1(sK64(sK5(sK4)))
| ~ r1(sK5(sK4),sK64(sK5(sK4)))
| ~ r1(sK4,sK5(sK4))
| p2(sK64(sK5(sK4))) ),
inference(instantiation,[status(thm)],[180]) ).
cnf(l29,plain,
r1(sK4,sK4),
inference(instantiation,[status(thm)],[0]) ).
cnf(299,plain,
( ~ p1(sK64(X0))
| ~ p2(sK64(X0))
| ~ r1(sK4,X0) ),
inference(cnf,[status(esa)],[main_negated]) ).
cnf(l32,plain,
( ~ p1(sK64(sK5(sK4)))
| ~ p2(sK64(sK5(sK4)))
| ~ r1(sK4,sK5(sK4)) ),
inference(instantiation,[status(thm)],[299]) ).
cnf(l34,plain,
( ~ r1(sK4,sK5(sK4))
| r1(sK5(sK4),sK64(sK5(sK4))) ),
inference(instantiation,[status(thm)],[183]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l18,l27,l33,l23,l28,l30,l29,l32,l34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL686+1.020 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n031.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 6 00:35:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.38 % launching worker at depth: 1
% 0.13/0.38 % launching worker at depth: 5
% 0.13/0.38 % launching worker at depth: 2
% 0.13/0.38 % launching worker at depth: 4
% 0.13/0.38 % launching worker at depth: 7
% 0.13/0.38 % launching worker at depth: 6
% 0.13/0.38 % launching worker at depth: 3
% 0.13/0.38 % launching worker at depth: 8
% 0.72/0.50 % launching worker at depth: 9
% 2.57/0.76 % launching worker at depth: 10
% 3.34/0.82 % SZS status Theorem for theBenchmark
% 3.34/0.82 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------