%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL674+1.020 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 : Tue Sep 29 12:00:00 PM UTC 2026
% Result : Theorem 25.37s 7.14s
% Output : Refutation 25.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 47
% Syntax : Number of formulae : 177 ( 10 unt; 44 def)
% Number of atoms : 4334 ( 0 equ)
% Maximal formula atoms : 436 ( 24 avg)
% Number of connectives : 7305 (3148 ~;2200 |;1954 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 81 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 89 ( 88 usr; 3 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-1 aty)
% Number of variables : 862 ( 0 sgn 706 !; 156 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( r1(X0,X1)
& r1(X1,X2) )
=> r1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p8(X1) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ( ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p21(X0)
& ~ p121(X0)
& p120(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p21(X0)
& ~ p121(X0)
& p120(X0) ) ) )
| ~ ( ~ p120(X1)
& p119(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p20(X0)
& ~ p120(X0)
& p119(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p20(X0)
& ~ p120(X0)
& p119(X0) ) ) )
| ~ ( ~ p119(X1)
& p118(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p19(X0)
& ~ p119(X0)
& p118(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p19(X0)
& ~ p119(X0)
& p118(X0) ) ) )
| ~ ( ~ p118(X1)
& p117(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p18(X0)
& ~ p118(X0)
& p117(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p18(X0)
& ~ p118(X0)
& p117(X0) ) ) )
| ~ ( ~ p117(X1)
& p116(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p17(X0)
& ~ p117(X0)
& p116(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p17(X0)
& ~ p117(X0)
& p116(X0) ) ) )
| ~ ( ~ p116(X1)
& p115(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p16(X0)
& ~ p116(X0)
& p115(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p16(X0)
& ~ p116(X0)
& p115(X0) ) ) )
| ~ ( ~ p115(X1)
& p114(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p15(X0)
& ~ p115(X0)
& p114(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p15(X0)
& ~ p115(X0)
& p114(X0) ) ) )
| ~ ( ~ p114(X1)
& p113(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p14(X0)
& ~ p114(X0)
& p113(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p14(X0)
& ~ p114(X0)
& p113(X0) ) ) )
| ~ ( ~ p113(X1)
& p112(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p13(X0)
& ~ p113(X0)
& p112(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p13(X0)
& ~ p113(X0)
& p112(X0) ) ) )
| ~ ( ~ p112(X1)
& p111(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p12(X0)
& ~ p112(X0)
& p111(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p12(X0)
& ~ p112(X0)
& p111(X0) ) ) )
| ~ ( ~ p111(X1)
& p110(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p11(X0)
& ~ p111(X0)
& p110(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p11(X0)
& ~ p111(X0)
& p110(X0) ) ) )
| ~ ( ~ p110(X1)
& p109(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p10(X0)
& ~ p110(X0)
& p109(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p10(X0)
& ~ p110(X0)
& p109(X0) ) ) )
| ~ ( ~ p109(X1)
& p108(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p9(X0)
& ~ p109(X0)
& p108(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p9(X0)
& ~ p109(X0)
& p108(X0) ) ) )
| ~ ( ~ p108(X1)
& p107(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p8(X0)
& ~ p108(X0)
& p107(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p8(X0)
& ~ p108(X0)
& p107(X0) ) ) )
| ~ ( ~ p107(X1)
& p106(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p7(X0)
& ~ p107(X0)
& p106(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p7(X0)
& ~ p107(X0)
& p106(X0) ) ) )
| ~ ( ~ p106(X1)
& p105(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p6(X0)
& ~ p106(X0)
& p105(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p6(X0)
& ~ p106(X0)
& p105(X0) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p5(X0)
& ~ p105(X0)
& p104(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p5(X0)
& ~ p105(X0)
& p104(X0) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p4(X0)
& ~ p104(X0)
& p103(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p4(X0)
& ~ p104(X0)
& p103(X0) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p3(X0)
& ~ p103(X0)
& p102(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p3(X0)
& ~ p103(X0)
& p102(X0) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p2(X0)
& ~ p102(X0)
& p101(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
& ~ p102(X0)
& p101(X0) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p21(X0)
| ~ p120(X0) )
| p21(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p21(X0)
| ~ p120(X0) )
| ~ p21(X1) ) )
| ~ p120(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p20(X0)
| ~ p119(X0) )
| p20(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p20(X0)
| ~ p119(X0) )
| ~ p20(X1) ) )
| ~ p119(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p19(X0)
| ~ p118(X0) )
| p19(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p19(X0)
| ~ p118(X0) )
| ~ p19(X1) ) )
| ~ p118(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p18(X0)
| ~ p117(X0) )
| p18(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p18(X0)
| ~ p117(X0) )
| ~ p18(X1) ) )
| ~ p117(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p17(X0)
| ~ p116(X0) )
| p17(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p17(X0)
| ~ p116(X0) )
| ~ p17(X1) ) )
| ~ p116(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p16(X0)
| ~ p115(X0) )
| p16(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p16(X0)
| ~ p115(X0) )
| ~ p16(X1) ) )
| ~ p115(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p15(X0)
| ~ p114(X0) )
| p15(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p15(X0)
| ~ p114(X0) )
| ~ p15(X1) ) )
| ~ p114(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p14(X0)
| ~ p113(X0) )
| p14(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p14(X0)
| ~ p113(X0) )
| ~ p14(X1) ) )
| ~ p113(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p13(X0)
| ~ p112(X0) )
| p13(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p13(X0)
| ~ p112(X0) )
| ~ p13(X1) ) )
| ~ p112(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p12(X0)
| ~ p111(X0) )
| p12(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p12(X0)
| ~ p111(X0) )
| ~ p12(X1) ) )
| ~ p111(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p11(X0)
| ~ p110(X0) )
| p11(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p11(X0)
| ~ p110(X0) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p10(X0)
| ~ p109(X0) )
| p10(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p10(X0)
| ~ p109(X0) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p9(X0)
| ~ p108(X0) )
| p9(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p9(X0)
| ~ p108(X0) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p8(X0)
| ~ p107(X0) )
| p8(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p8(X0)
| ~ p107(X0) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p7(X0)
| ~ p106(X0) )
| p7(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p7(X0)
| ~ p106(X0) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p6(X0)
| ~ p105(X0) )
| p6(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p6(X0)
| ~ p105(X0) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p5(X0)
| ~ p104(X0) )
| p5(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p5(X0)
| ~ p104(X0) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p4(X0)
| ~ p103(X0) )
| p4(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| ~ p103(X0) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p3(X0)
| ~ p102(X0) )
| p3(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0)
| ~ p102(X0) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ~ p101(X0) )
| p2(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ p101(X0) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ~ p100(X0) )
| p1(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ p100(X0) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p120(X1)
| ~ p121(X1) )
& ( p119(X1)
| ~ p120(X1) )
& ( p118(X1)
| ~ p119(X1) )
& ( p117(X1)
| ~ p118(X1) )
& ( p116(X1)
| ~ p117(X1) )
& ( p115(X1)
| ~ p116(X1) )
& ( p114(X1)
| ~ p115(X1) )
& ( p113(X1)
| ~ p114(X1) )
& ( p112(X1)
| ~ p113(X1) )
& ( p111(X1)
| ~ p112(X1) )
& ( p110(X1)
| ~ p111(X1) )
& ( p109(X1)
| ~ p110(X1) )
& ( p108(X1)
| ~ p109(X1) )
& ( p107(X1)
| ~ p108(X1) )
& ( p106(X1)
| ~ p107(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) )
& ~ p101(X0)
& p100(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p8(X1) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ( ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p21(X0)
& ~ p121(X0)
& p120(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p21(X0)
& ~ p121(X0)
& p120(X0) ) ) )
| ~ ( ~ p120(X1)
& p119(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p20(X0)
& ~ p120(X0)
& p119(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p20(X0)
& ~ p120(X0)
& p119(X0) ) ) )
| ~ ( ~ p119(X1)
& p118(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p19(X0)
& ~ p119(X0)
& p118(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p19(X0)
& ~ p119(X0)
& p118(X0) ) ) )
| ~ ( ~ p118(X1)
& p117(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p18(X0)
& ~ p118(X0)
& p117(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p18(X0)
& ~ p118(X0)
& p117(X0) ) ) )
| ~ ( ~ p117(X1)
& p116(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p17(X0)
& ~ p117(X0)
& p116(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p17(X0)
& ~ p117(X0)
& p116(X0) ) ) )
| ~ ( ~ p116(X1)
& p115(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p16(X0)
& ~ p116(X0)
& p115(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p16(X0)
& ~ p116(X0)
& p115(X0) ) ) )
| ~ ( ~ p115(X1)
& p114(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p15(X0)
& ~ p115(X0)
& p114(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p15(X0)
& ~ p115(X0)
& p114(X0) ) ) )
| ~ ( ~ p114(X1)
& p113(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p14(X0)
& ~ p114(X0)
& p113(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p14(X0)
& ~ p114(X0)
& p113(X0) ) ) )
| ~ ( ~ p113(X1)
& p112(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p13(X0)
& ~ p113(X0)
& p112(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p13(X0)
& ~ p113(X0)
& p112(X0) ) ) )
| ~ ( ~ p112(X1)
& p111(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p12(X0)
& ~ p112(X0)
& p111(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p12(X0)
& ~ p112(X0)
& p111(X0) ) ) )
| ~ ( ~ p111(X1)
& p110(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p11(X0)
& ~ p111(X0)
& p110(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p11(X0)
& ~ p111(X0)
& p110(X0) ) ) )
| ~ ( ~ p110(X1)
& p109(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p10(X0)
& ~ p110(X0)
& p109(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p10(X0)
& ~ p110(X0)
& p109(X0) ) ) )
| ~ ( ~ p109(X1)
& p108(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p9(X0)
& ~ p109(X0)
& p108(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p9(X0)
& ~ p109(X0)
& p108(X0) ) ) )
| ~ ( ~ p108(X1)
& p107(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p8(X0)
& ~ p108(X0)
& p107(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p8(X0)
& ~ p108(X0)
& p107(X0) ) ) )
| ~ ( ~ p107(X1)
& p106(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p7(X0)
& ~ p107(X0)
& p106(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p7(X0)
& ~ p107(X0)
& p106(X0) ) ) )
| ~ ( ~ p106(X1)
& p105(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p6(X0)
& ~ p106(X0)
& p105(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p6(X0)
& ~ p106(X0)
& p105(X0) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p5(X0)
& ~ p105(X0)
& p104(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p5(X0)
& ~ p105(X0)
& p104(X0) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p4(X0)
& ~ p104(X0)
& p103(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p4(X0)
& ~ p104(X0)
& p103(X0) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p3(X0)
& ~ p103(X0)
& p102(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p3(X0)
& ~ p103(X0)
& p102(X0) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p2(X0)
& ~ p102(X0)
& p101(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
& ~ p102(X0)
& p101(X0) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p21(X0)
| ~ p120(X0) )
| p21(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p21(X0)
| ~ p120(X0) )
| ~ p21(X1) ) )
| ~ p120(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p20(X0)
| ~ p119(X0) )
| p20(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p20(X0)
| ~ p119(X0) )
| ~ p20(X1) ) )
| ~ p119(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p19(X0)
| ~ p118(X0) )
| p19(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p19(X0)
| ~ p118(X0) )
| ~ p19(X1) ) )
| ~ p118(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p18(X0)
| ~ p117(X0) )
| p18(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p18(X0)
| ~ p117(X0) )
| ~ p18(X1) ) )
| ~ p117(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p17(X0)
| ~ p116(X0) )
| p17(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p17(X0)
| ~ p116(X0) )
| ~ p17(X1) ) )
| ~ p116(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p16(X0)
| ~ p115(X0) )
| p16(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p16(X0)
| ~ p115(X0) )
| ~ p16(X1) ) )
| ~ p115(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p15(X0)
| ~ p114(X0) )
| p15(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p15(X0)
| ~ p114(X0) )
| ~ p15(X1) ) )
| ~ p114(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p14(X0)
| ~ p113(X0) )
| p14(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p14(X0)
| ~ p113(X0) )
| ~ p14(X1) ) )
| ~ p113(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p13(X0)
| ~ p112(X0) )
| p13(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p13(X0)
| ~ p112(X0) )
| ~ p13(X1) ) )
| ~ p112(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p12(X0)
| ~ p111(X0) )
| p12(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p12(X0)
| ~ p111(X0) )
| ~ p12(X1) ) )
| ~ p111(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p11(X0)
| ~ p110(X0) )
| p11(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p11(X0)
| ~ p110(X0) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p10(X0)
| ~ p109(X0) )
| p10(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p10(X0)
| ~ p109(X0) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p9(X0)
| ~ p108(X0) )
| p9(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p9(X0)
| ~ p108(X0) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p8(X0)
| ~ p107(X0) )
| p8(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p8(X0)
| ~ p107(X0) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p7(X0)
| ~ p106(X0) )
| p7(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p7(X0)
| ~ p106(X0) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p6(X0)
| ~ p105(X0) )
| p6(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p6(X0)
| ~ p105(X0) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p5(X0)
| ~ p104(X0) )
| p5(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p5(X0)
| ~ p104(X0) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p4(X0)
| ~ p103(X0) )
| p4(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| ~ p103(X0) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p3(X0)
| ~ p102(X0) )
| p3(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0)
| ~ p102(X0) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ~ p101(X0) )
| p2(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ p101(X0) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ~ p100(X0) )
| p1(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ p100(X0) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p120(X1)
| ~ p121(X1) )
& ( p119(X1)
| ~ p120(X1) )
& ( p118(X1)
| ~ p119(X1) )
& ( p117(X1)
| ~ p118(X1) )
& ( p116(X1)
| ~ p117(X1) )
& ( p115(X1)
| ~ p116(X1) )
& ( p114(X1)
| ~ p115(X1) )
& ( p113(X1)
| ~ p114(X1) )
& ( p112(X1)
| ~ p113(X1) )
& ( p111(X1)
| ~ p112(X1) )
& ( p110(X1)
| ~ p111(X1) )
& ( p109(X1)
| ~ p110(X1) )
& ( p108(X1)
| ~ p109(X1) )
& ( p107(X1)
| ~ p108(X1) )
& ( p106(X1)
| ~ p107(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) )
& ~ p101(X0)
& p100(X0) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p8(X1) )
| ~ ( ! [X2] :
( ~ r1(X0,X2)
| ( ( ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ( ~ p21(X3)
& ~ p121(X3)
& p120(X3) ) )
& ~ ! [X4] :
( ~ r1(X2,X4)
| ~ ( p21(X4)
& ~ p121(X4)
& p120(X4) ) ) )
| ~ ( ~ p120(X2)
& p119(X2) ) )
& ( ( ~ ! [X5] :
( ~ r1(X2,X5)
| ~ ( ~ p20(X5)
& ~ p120(X5)
& p119(X5) ) )
& ~ ! [X6] :
( ~ r1(X2,X6)
| ~ ( p20(X6)
& ~ p120(X6)
& p119(X6) ) ) )
| ~ ( ~ p119(X2)
& p118(X2) ) )
& ( ( ~ ! [X7] :
( ~ r1(X2,X7)
| ~ ( ~ p19(X7)
& ~ p119(X7)
& p118(X7) ) )
& ~ ! [X8] :
( ~ r1(X2,X8)
| ~ ( p19(X8)
& ~ p119(X8)
& p118(X8) ) ) )
| ~ ( ~ p118(X2)
& p117(X2) ) )
& ( ( ~ ! [X9] :
( ~ r1(X2,X9)
| ~ ( ~ p18(X9)
& ~ p118(X9)
& p117(X9) ) )
& ~ ! [X10] :
( ~ r1(X2,X10)
| ~ ( p18(X10)
& ~ p118(X10)
& p117(X10) ) ) )
| ~ ( ~ p117(X2)
& p116(X2) ) )
& ( ( ~ ! [X11] :
( ~ r1(X2,X11)
| ~ ( ~ p17(X11)
& ~ p117(X11)
& p116(X11) ) )
& ~ ! [X12] :
( ~ r1(X2,X12)
| ~ ( p17(X12)
& ~ p117(X12)
& p116(X12) ) ) )
| ~ ( ~ p116(X2)
& p115(X2) ) )
& ( ( ~ ! [X13] :
( ~ r1(X2,X13)
| ~ ( ~ p16(X13)
& ~ p116(X13)
& p115(X13) ) )
& ~ ! [X14] :
( ~ r1(X2,X14)
| ~ ( p16(X14)
& ~ p116(X14)
& p115(X14) ) ) )
| ~ ( ~ p115(X2)
& p114(X2) ) )
& ( ( ~ ! [X15] :
( ~ r1(X2,X15)
| ~ ( ~ p15(X15)
& ~ p115(X15)
& p114(X15) ) )
& ~ ! [X16] :
( ~ r1(X2,X16)
| ~ ( p15(X16)
& ~ p115(X16)
& p114(X16) ) ) )
| ~ ( ~ p114(X2)
& p113(X2) ) )
& ( ( ~ ! [X17] :
( ~ r1(X2,X17)
| ~ ( ~ p14(X17)
& ~ p114(X17)
& p113(X17) ) )
& ~ ! [X18] :
( ~ r1(X2,X18)
| ~ ( p14(X18)
& ~ p114(X18)
& p113(X18) ) ) )
| ~ ( ~ p113(X2)
& p112(X2) ) )
& ( ( ~ ! [X19] :
( ~ r1(X2,X19)
| ~ ( ~ p13(X19)
& ~ p113(X19)
& p112(X19) ) )
& ~ ! [X20] :
( ~ r1(X2,X20)
| ~ ( p13(X20)
& ~ p113(X20)
& p112(X20) ) ) )
| ~ ( ~ p112(X2)
& p111(X2) ) )
& ( ( ~ ! [X21] :
( ~ r1(X2,X21)
| ~ ( ~ p12(X21)
& ~ p112(X21)
& p111(X21) ) )
& ~ ! [X22] :
( ~ r1(X2,X22)
| ~ ( p12(X22)
& ~ p112(X22)
& p111(X22) ) ) )
| ~ ( ~ p111(X2)
& p110(X2) ) )
& ( ( ~ ! [X23] :
( ~ r1(X2,X23)
| ~ ( ~ p11(X23)
& ~ p111(X23)
& p110(X23) ) )
& ~ ! [X24] :
( ~ r1(X2,X24)
| ~ ( p11(X24)
& ~ p111(X24)
& p110(X24) ) ) )
| ~ ( ~ p110(X2)
& p109(X2) ) )
& ( ( ~ ! [X25] :
( ~ r1(X2,X25)
| ~ ( ~ p10(X25)
& ~ p110(X25)
& p109(X25) ) )
& ~ ! [X26] :
( ~ r1(X2,X26)
| ~ ( p10(X26)
& ~ p110(X26)
& p109(X26) ) ) )
| ~ ( ~ p109(X2)
& p108(X2) ) )
& ( ( ~ ! [X27] :
( ~ r1(X2,X27)
| ~ ( ~ p9(X27)
& ~ p109(X27)
& p108(X27) ) )
& ~ ! [X28] :
( ~ r1(X2,X28)
| ~ ( p9(X28)
& ~ p109(X28)
& p108(X28) ) ) )
| ~ ( ~ p108(X2)
& p107(X2) ) )
& ( ( ~ ! [X29] :
( ~ r1(X2,X29)
| ~ ( ~ p8(X29)
& ~ p108(X29)
& p107(X29) ) )
& ~ ! [X30] :
( ~ r1(X2,X30)
| ~ ( p8(X30)
& ~ p108(X30)
& p107(X30) ) ) )
| ~ ( ~ p107(X2)
& p106(X2) ) )
& ( ( ~ ! [X31] :
( ~ r1(X2,X31)
| ~ ( ~ p7(X31)
& ~ p107(X31)
& p106(X31) ) )
& ~ ! [X32] :
( ~ r1(X2,X32)
| ~ ( p7(X32)
& ~ p107(X32)
& p106(X32) ) ) )
| ~ ( ~ p106(X2)
& p105(X2) ) )
& ( ( ~ ! [X33] :
( ~ r1(X2,X33)
| ~ ( ~ p6(X33)
& ~ p106(X33)
& p105(X33) ) )
& ~ ! [X34] :
( ~ r1(X2,X34)
| ~ ( p6(X34)
& ~ p106(X34)
& p105(X34) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X35] :
( ~ r1(X2,X35)
| ~ ( ~ p5(X35)
& ~ p105(X35)
& p104(X35) ) )
& ~ ! [X36] :
( ~ r1(X2,X36)
| ~ ( p5(X36)
& ~ p105(X36)
& p104(X36) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X37] :
( ~ r1(X2,X37)
| ~ ( ~ p4(X37)
& ~ p104(X37)
& p103(X37) ) )
& ~ ! [X38] :
( ~ r1(X2,X38)
| ~ ( p4(X38)
& ~ p104(X38)
& p103(X38) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X39] :
( ~ r1(X2,X39)
| ~ ( ~ p3(X39)
& ~ p103(X39)
& p102(X39) ) )
& ~ ! [X40] :
( ~ r1(X2,X40)
| ~ ( p3(X40)
& ~ p103(X40)
& p102(X40) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X41] :
( ~ r1(X2,X41)
| ~ ( ~ p2(X41)
& ~ p102(X41)
& p101(X41) ) )
& ~ ! [X42] :
( ~ r1(X2,X42)
| ~ ( p2(X42)
& ~ p102(X42)
& p101(X42) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X43] :
( ~ r1(X2,X43)
| ~ p21(X43)
| ~ p120(X43) )
| p21(X2) )
& ( ! [X44] :
( ~ r1(X2,X44)
| p21(X44)
| ~ p120(X44) )
| ~ p21(X2) ) )
| ~ p120(X2) )
& ( ( ( ! [X45] :
( ~ r1(X2,X45)
| ~ p20(X45)
| ~ p119(X45) )
| p20(X2) )
& ( ! [X46] :
( ~ r1(X2,X46)
| p20(X46)
| ~ p119(X46) )
| ~ p20(X2) ) )
| ~ p119(X2) )
& ( ( ( ! [X47] :
( ~ r1(X2,X47)
| ~ p19(X47)
| ~ p118(X47) )
| p19(X2) )
& ( ! [X48] :
( ~ r1(X2,X48)
| p19(X48)
| ~ p118(X48) )
| ~ p19(X2) ) )
| ~ p118(X2) )
& ( ( ( ! [X49] :
( ~ r1(X2,X49)
| ~ p18(X49)
| ~ p117(X49) )
| p18(X2) )
& ( ! [X50] :
( ~ r1(X2,X50)
| p18(X50)
| ~ p117(X50) )
| ~ p18(X2) ) )
| ~ p117(X2) )
& ( ( ( ! [X51] :
( ~ r1(X2,X51)
| ~ p17(X51)
| ~ p116(X51) )
| p17(X2) )
& ( ! [X52] :
( ~ r1(X2,X52)
| p17(X52)
| ~ p116(X52) )
| ~ p17(X2) ) )
| ~ p116(X2) )
& ( ( ( ! [X53] :
( ~ r1(X2,X53)
| ~ p16(X53)
| ~ p115(X53) )
| p16(X2) )
& ( ! [X54] :
( ~ r1(X2,X54)
| p16(X54)
| ~ p115(X54) )
| ~ p16(X2) ) )
| ~ p115(X2) )
& ( ( ( ! [X55] :
( ~ r1(X2,X55)
| ~ p15(X55)
| ~ p114(X55) )
| p15(X2) )
& ( ! [X56] :
( ~ r1(X2,X56)
| p15(X56)
| ~ p114(X56) )
| ~ p15(X2) ) )
| ~ p114(X2) )
& ( ( ( ! [X57] :
( ~ r1(X2,X57)
| ~ p14(X57)
| ~ p113(X57) )
| p14(X2) )
& ( ! [X58] :
( ~ r1(X2,X58)
| p14(X58)
| ~ p113(X58) )
| ~ p14(X2) ) )
| ~ p113(X2) )
& ( ( ( ! [X59] :
( ~ r1(X2,X59)
| ~ p13(X59)
| ~ p112(X59) )
| p13(X2) )
& ( ! [X60] :
( ~ r1(X2,X60)
| p13(X60)
| ~ p112(X60) )
| ~ p13(X2) ) )
| ~ p112(X2) )
& ( ( ( ! [X61] :
( ~ r1(X2,X61)
| ~ p12(X61)
| ~ p111(X61) )
| p12(X2) )
& ( ! [X62] :
( ~ r1(X2,X62)
| p12(X62)
| ~ p111(X62) )
| ~ p12(X2) ) )
| ~ p111(X2) )
& ( ( ( ! [X63] :
( ~ r1(X2,X63)
| ~ p11(X63)
| ~ p110(X63) )
| p11(X2) )
& ( ! [X64] :
( ~ r1(X2,X64)
| p11(X64)
| ~ p110(X64) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X65] :
( ~ r1(X2,X65)
| ~ p10(X65)
| ~ p109(X65) )
| p10(X2) )
& ( ! [X66] :
( ~ r1(X2,X66)
| p10(X66)
| ~ p109(X66) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X67] :
( ~ r1(X2,X67)
| ~ p9(X67)
| ~ p108(X67) )
| p9(X2) )
& ( ! [X68] :
( ~ r1(X2,X68)
| p9(X68)
| ~ p108(X68) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X69] :
( ~ r1(X2,X69)
| ~ p8(X69)
| ~ p107(X69) )
| p8(X2) )
& ( ! [X70] :
( ~ r1(X2,X70)
| p8(X70)
| ~ p107(X70) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X71] :
( ~ r1(X2,X71)
| ~ p7(X71)
| ~ p106(X71) )
| p7(X2) )
& ( ! [X72] :
( ~ r1(X2,X72)
| p7(X72)
| ~ p106(X72) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X73] :
( ~ r1(X2,X73)
| ~ p6(X73)
| ~ p105(X73) )
| p6(X2) )
& ( ! [X74] :
( ~ r1(X2,X74)
| p6(X74)
| ~ p105(X74) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X75] :
( ~ r1(X2,X75)
| ~ p5(X75)
| ~ p104(X75) )
| p5(X2) )
& ( ! [X76] :
( ~ r1(X2,X76)
| p5(X76)
| ~ p104(X76) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X77] :
( ~ r1(X2,X77)
| ~ p4(X77)
| ~ p103(X77) )
| p4(X2) )
& ( ! [X78] :
( ~ r1(X2,X78)
| p4(X78)
| ~ p103(X78) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X79] :
( ~ r1(X2,X79)
| ~ p3(X79)
| ~ p102(X79) )
| p3(X2) )
& ( ! [X80] :
( ~ r1(X2,X80)
| p3(X80)
| ~ p102(X80) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X81] :
( ~ r1(X2,X81)
| ~ p2(X81)
| ~ p101(X81) )
| p2(X2) )
& ( ! [X82] :
( ~ r1(X2,X82)
| p2(X82)
| ~ p101(X82) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X83] :
( ~ r1(X2,X83)
| ~ p1(X83)
| ~ p100(X83) )
| p1(X2) )
& ( ! [X84] :
( ~ r1(X2,X84)
| p1(X84)
| ~ p100(X84) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p120(X2)
| ~ p121(X2) )
& ( p119(X2)
| ~ p120(X2) )
& ( p118(X2)
| ~ p119(X2) )
& ( p117(X2)
| ~ p118(X2) )
& ( p116(X2)
| ~ p117(X2) )
& ( p115(X2)
| ~ p116(X2) )
& ( p114(X2)
| ~ p115(X2) )
& ( p113(X2)
| ~ p114(X2) )
& ( p112(X2)
| ~ p113(X2) )
& ( p111(X2)
| ~ p112(X2) )
& ( p110(X2)
| ~ p111(X2) )
& ( p109(X2)
| ~ p110(X2) )
& ( p108(X2)
| ~ p109(X2) )
& ( p107(X2)
| ~ p108(X2) )
& ( p106(X2)
| ~ p107(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) )
& ~ p101(X0)
& p100(X0) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p8(X1) )
| ~ ( ! [X2] :
( ~ r1(X0,X2)
| ( ( ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ( ~ p21(X3)
& ~ p121(X3)
& p120(X3) ) )
& ~ ! [X4] :
( ~ r1(X2,X4)
| ~ ( p21(X4)
& ~ p121(X4)
& p120(X4) ) ) )
| ~ ( ~ p120(X2)
& p119(X2) ) )
& ( ( ~ ! [X5] :
( ~ r1(X2,X5)
| ~ ( ~ p20(X5)
& ~ p120(X5)
& p119(X5) ) )
& ~ ! [X6] :
( ~ r1(X2,X6)
| ~ ( p20(X6)
& ~ p120(X6)
& p119(X6) ) ) )
| ~ ( ~ p119(X2)
& p118(X2) ) )
& ( ( ~ ! [X7] :
( ~ r1(X2,X7)
| ~ ( ~ p19(X7)
& ~ p119(X7)
& p118(X7) ) )
& ~ ! [X8] :
( ~ r1(X2,X8)
| ~ ( p19(X8)
& ~ p119(X8)
& p118(X8) ) ) )
| ~ ( ~ p118(X2)
& p117(X2) ) )
& ( ( ~ ! [X9] :
( ~ r1(X2,X9)
| ~ ( ~ p18(X9)
& ~ p118(X9)
& p117(X9) ) )
& ~ ! [X10] :
( ~ r1(X2,X10)
| ~ ( p18(X10)
& ~ p118(X10)
& p117(X10) ) ) )
| ~ ( ~ p117(X2)
& p116(X2) ) )
& ( ( ~ ! [X11] :
( ~ r1(X2,X11)
| ~ ( ~ p17(X11)
& ~ p117(X11)
& p116(X11) ) )
& ~ ! [X12] :
( ~ r1(X2,X12)
| ~ ( p17(X12)
& ~ p117(X12)
& p116(X12) ) ) )
| ~ ( ~ p116(X2)
& p115(X2) ) )
& ( ( ~ ! [X13] :
( ~ r1(X2,X13)
| ~ ( ~ p16(X13)
& ~ p116(X13)
& p115(X13) ) )
& ~ ! [X14] :
( ~ r1(X2,X14)
| ~ ( p16(X14)
& ~ p116(X14)
& p115(X14) ) ) )
| ~ ( ~ p115(X2)
& p114(X2) ) )
& ( ( ~ ! [X15] :
( ~ r1(X2,X15)
| ~ ( ~ p15(X15)
& ~ p115(X15)
& p114(X15) ) )
& ~ ! [X16] :
( ~ r1(X2,X16)
| ~ ( p15(X16)
& ~ p115(X16)
& p114(X16) ) ) )
| ~ ( ~ p114(X2)
& p113(X2) ) )
& ( ( ~ ! [X17] :
( ~ r1(X2,X17)
| ~ ( ~ p14(X17)
& ~ p114(X17)
& p113(X17) ) )
& ~ ! [X18] :
( ~ r1(X2,X18)
| ~ ( p14(X18)
& ~ p114(X18)
& p113(X18) ) ) )
| ~ ( ~ p113(X2)
& p112(X2) ) )
& ( ( ~ ! [X19] :
( ~ r1(X2,X19)
| ~ ( ~ p13(X19)
& ~ p113(X19)
& p112(X19) ) )
& ~ ! [X20] :
( ~ r1(X2,X20)
| ~ ( p13(X20)
& ~ p113(X20)
& p112(X20) ) ) )
| ~ ( ~ p112(X2)
& p111(X2) ) )
& ( ( ~ ! [X21] :
( ~ r1(X2,X21)
| ~ ( ~ p12(X21)
& ~ p112(X21)
& p111(X21) ) )
& ~ ! [X22] :
( ~ r1(X2,X22)
| ~ ( p12(X22)
& ~ p112(X22)
& p111(X22) ) ) )
| ~ ( ~ p111(X2)
& p110(X2) ) )
& ( ( ~ ! [X23] :
( ~ r1(X2,X23)
| ~ ( ~ p11(X23)
& ~ p111(X23)
& p110(X23) ) )
& ~ ! [X24] :
( ~ r1(X2,X24)
| ~ ( p11(X24)
& ~ p111(X24)
& p110(X24) ) ) )
| ~ ( ~ p110(X2)
& p109(X2) ) )
& ( ( ~ ! [X25] :
( ~ r1(X2,X25)
| ~ ( ~ p10(X25)
& ~ p110(X25)
& p109(X25) ) )
& ~ ! [X26] :
( ~ r1(X2,X26)
| ~ ( p10(X26)
& ~ p110(X26)
& p109(X26) ) ) )
| ~ ( ~ p109(X2)
& p108(X2) ) )
& ( ( ~ ! [X27] :
( ~ r1(X2,X27)
| ~ ( ~ p9(X27)
& ~ p109(X27)
& p108(X27) ) )
& ~ ! [X28] :
( ~ r1(X2,X28)
| ~ ( p9(X28)
& ~ p109(X28)
& p108(X28) ) ) )
| ~ ( ~ p108(X2)
& p107(X2) ) )
& ( ( ~ ! [X29] :
( ~ r1(X2,X29)
| ~ ( ~ p8(X29)
& ~ p108(X29)
& p107(X29) ) )
& ~ ! [X30] :
( ~ r1(X2,X30)
| ~ ( p8(X30)
& ~ p108(X30)
& p107(X30) ) ) )
| ~ ( ~ p107(X2)
& p106(X2) ) )
& ( ( ~ ! [X31] :
( ~ r1(X2,X31)
| ~ ( ~ p7(X31)
& ~ p107(X31)
& p106(X31) ) )
& ~ ! [X32] :
( ~ r1(X2,X32)
| ~ ( p7(X32)
& ~ p107(X32)
& p106(X32) ) ) )
| ~ ( ~ p106(X2)
& p105(X2) ) )
& ( ( ~ ! [X33] :
( ~ r1(X2,X33)
| ~ ( ~ p6(X33)
& ~ p106(X33)
& p105(X33) ) )
& ~ ! [X34] :
( ~ r1(X2,X34)
| ~ ( p6(X34)
& ~ p106(X34)
& p105(X34) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X35] :
( ~ r1(X2,X35)
| ~ ( ~ p5(X35)
& ~ p105(X35)
& p104(X35) ) )
& ~ ! [X36] :
( ~ r1(X2,X36)
| ~ ( p5(X36)
& ~ p105(X36)
& p104(X36) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X37] :
( ~ r1(X2,X37)
| ~ ( ~ p4(X37)
& ~ p104(X37)
& p103(X37) ) )
& ~ ! [X38] :
( ~ r1(X2,X38)
| ~ ( p4(X38)
& ~ p104(X38)
& p103(X38) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X39] :
( ~ r1(X2,X39)
| ~ ( ~ p3(X39)
& ~ p103(X39)
& p102(X39) ) )
& ~ ! [X40] :
( ~ r1(X2,X40)
| ~ ( p3(X40)
& ~ p103(X40)
& p102(X40) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X41] :
( ~ r1(X2,X41)
| ~ ( ~ p2(X41)
& ~ p102(X41)
& p101(X41) ) )
& ~ ! [X42] :
( ~ r1(X2,X42)
| ~ ( p2(X42)
& ~ p102(X42)
& p101(X42) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X43] :
( ~ r1(X2,X43)
| ~ p21(X43)
| ~ p120(X43) )
| p21(X2) )
& ( ! [X44] :
( ~ r1(X2,X44)
| p21(X44)
| ~ p120(X44) )
| ~ p21(X2) ) )
| ~ p120(X2) )
& ( ( ( ! [X45] :
( ~ r1(X2,X45)
| ~ p20(X45)
| ~ p119(X45) )
| p20(X2) )
& ( ! [X46] :
( ~ r1(X2,X46)
| p20(X46)
| ~ p119(X46) )
| ~ p20(X2) ) )
| ~ p119(X2) )
& ( ( ( ! [X47] :
( ~ r1(X2,X47)
| ~ p19(X47)
| ~ p118(X47) )
| p19(X2) )
& ( ! [X48] :
( ~ r1(X2,X48)
| p19(X48)
| ~ p118(X48) )
| ~ p19(X2) ) )
| ~ p118(X2) )
& ( ( ( ! [X49] :
( ~ r1(X2,X49)
| ~ p18(X49)
| ~ p117(X49) )
| p18(X2) )
& ( ! [X50] :
( ~ r1(X2,X50)
| p18(X50)
| ~ p117(X50) )
| ~ p18(X2) ) )
| ~ p117(X2) )
& ( ( ( ! [X51] :
( ~ r1(X2,X51)
| ~ p17(X51)
| ~ p116(X51) )
| p17(X2) )
& ( ! [X52] :
( ~ r1(X2,X52)
| p17(X52)
| ~ p116(X52) )
| ~ p17(X2) ) )
| ~ p116(X2) )
& ( ( ( ! [X53] :
( ~ r1(X2,X53)
| ~ p16(X53)
| ~ p115(X53) )
| p16(X2) )
& ( ! [X54] :
( ~ r1(X2,X54)
| p16(X54)
| ~ p115(X54) )
| ~ p16(X2) ) )
| ~ p115(X2) )
& ( ( ( ! [X55] :
( ~ r1(X2,X55)
| ~ p15(X55)
| ~ p114(X55) )
| p15(X2) )
& ( ! [X56] :
( ~ r1(X2,X56)
| p15(X56)
| ~ p114(X56) )
| ~ p15(X2) ) )
| ~ p114(X2) )
& ( ( ( ! [X57] :
( ~ r1(X2,X57)
| ~ p14(X57)
| ~ p113(X57) )
| p14(X2) )
& ( ! [X58] :
( ~ r1(X2,X58)
| p14(X58)
| ~ p113(X58) )
| ~ p14(X2) ) )
| ~ p113(X2) )
& ( ( ( ! [X59] :
( ~ r1(X2,X59)
| ~ p13(X59)
| ~ p112(X59) )
| p13(X2) )
& ( ! [X60] :
( ~ r1(X2,X60)
| p13(X60)
| ~ p112(X60) )
| ~ p13(X2) ) )
| ~ p112(X2) )
& ( ( ( ! [X61] :
( ~ r1(X2,X61)
| ~ p12(X61)
| ~ p111(X61) )
| p12(X2) )
& ( ! [X62] :
( ~ r1(X2,X62)
| p12(X62)
| ~ p111(X62) )
| ~ p12(X2) ) )
| ~ p111(X2) )
& ( ( ( ! [X63] :
( ~ r1(X2,X63)
| ~ p11(X63)
| ~ p110(X63) )
| p11(X2) )
& ( ! [X64] :
( ~ r1(X2,X64)
| p11(X64)
| ~ p110(X64) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X65] :
( ~ r1(X2,X65)
| ~ p10(X65)
| ~ p109(X65) )
| p10(X2) )
& ( ! [X66] :
( ~ r1(X2,X66)
| p10(X66)
| ~ p109(X66) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X67] :
( ~ r1(X2,X67)
| ~ p9(X67)
| ~ p108(X67) )
| p9(X2) )
& ( ! [X68] :
( ~ r1(X2,X68)
| p9(X68)
| ~ p108(X68) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X69] :
( ~ r1(X2,X69)
| ~ p8(X69)
| ~ p107(X69) )
| p8(X2) )
& ( ! [X70] :
( ~ r1(X2,X70)
| p8(X70)
| ~ p107(X70) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X71] :
( ~ r1(X2,X71)
| ~ p7(X71)
| ~ p106(X71) )
| p7(X2) )
& ( ! [X72] :
( ~ r1(X2,X72)
| p7(X72)
| ~ p106(X72) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X73] :
( ~ r1(X2,X73)
| ~ p6(X73)
| ~ p105(X73) )
| p6(X2) )
& ( ! [X74] :
( ~ r1(X2,X74)
| p6(X74)
| ~ p105(X74) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X75] :
( ~ r1(X2,X75)
| ~ p5(X75)
| ~ p104(X75) )
| p5(X2) )
& ( ! [X76] :
( ~ r1(X2,X76)
| p5(X76)
| ~ p104(X76) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X77] :
( ~ r1(X2,X77)
| ~ p4(X77)
| ~ p103(X77) )
| p4(X2) )
& ( ! [X78] :
( ~ r1(X2,X78)
| p4(X78)
| ~ p103(X78) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X79] :
( ~ r1(X2,X79)
| ~ p3(X79)
| ~ p102(X79) )
| p3(X2) )
& ( ! [X80] :
( ~ r1(X2,X80)
| p3(X80)
| ~ p102(X80) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X81] :
( ~ r1(X2,X81)
| ~ p2(X81)
| ~ p101(X81) )
| p2(X2) )
& ( ! [X82] :
( ~ r1(X2,X82)
| p2(X82)
| ~ p101(X82) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X83] :
( ~ r1(X2,X83)
| ~ p1(X83)
| ~ p100(X83) )
| p1(X2) )
& ( ! [X84] :
( ~ r1(X2,X84)
| p1(X84)
| ~ p100(X84) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p120(X2)
| ~ p121(X2) )
& ( p119(X2)
| ~ p120(X2) )
& ( p118(X2)
| ~ p119(X2) )
& ( p117(X2)
| ~ p118(X2) )
& ( p116(X2)
| ~ p117(X2) )
& ( p115(X2)
| ~ p116(X2) )
& ( p114(X2)
| ~ p115(X2) )
& ( p113(X2)
| ~ p114(X2) )
& ( p112(X2)
| ~ p113(X2) )
& ( p111(X2)
| ~ p112(X2) )
& ( p110(X2)
| ~ p111(X2) )
& ( p109(X2)
| ~ p110(X2) )
& ( p108(X2)
| ~ p109(X2) )
& ( p107(X2)
| ~ p108(X2) )
& ( p106(X2)
| ~ p107(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) )
& ~ p101(X0)
& p100(X0) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p8(X1) )
| ~ ( ! [X2] :
( ~ r1(X0,X2)
| ( ( ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ( ~ p21(X3)
& p120(X3) ) )
& ~ ! [X4] :
( ~ r1(X2,X4)
| ~ ( p21(X4)
& p120(X4) ) ) )
| ~ ( ~ p120(X2)
& p119(X2) ) )
& ( ( ~ ! [X5] :
( ~ r1(X2,X5)
| ~ ( ~ p20(X5)
& ~ p120(X5)
& p119(X5) ) )
& ~ ! [X6] :
( ~ r1(X2,X6)
| ~ ( p20(X6)
& ~ p120(X6)
& p119(X6) ) ) )
| ~ ( ~ p119(X2)
& p118(X2) ) )
& ( ( ~ ! [X7] :
( ~ r1(X2,X7)
| ~ ( ~ p19(X7)
& ~ p119(X7)
& p118(X7) ) )
& ~ ! [X8] :
( ~ r1(X2,X8)
| ~ ( p19(X8)
& ~ p119(X8)
& p118(X8) ) ) )
| ~ ( ~ p118(X2)
& p117(X2) ) )
& ( ( ~ ! [X9] :
( ~ r1(X2,X9)
| ~ ( ~ p18(X9)
& ~ p118(X9)
& p117(X9) ) )
& ~ ! [X10] :
( ~ r1(X2,X10)
| ~ ( p18(X10)
& ~ p118(X10)
& p117(X10) ) ) )
| ~ ( ~ p117(X2)
& p116(X2) ) )
& ( ( ~ ! [X11] :
( ~ r1(X2,X11)
| ~ ( ~ p17(X11)
& ~ p117(X11)
& p116(X11) ) )
& ~ ! [X12] :
( ~ r1(X2,X12)
| ~ ( p17(X12)
& ~ p117(X12)
& p116(X12) ) ) )
| ~ ( ~ p116(X2)
& p115(X2) ) )
& ( ( ~ ! [X13] :
( ~ r1(X2,X13)
| ~ ( ~ p16(X13)
& ~ p116(X13)
& p115(X13) ) )
& ~ ! [X14] :
( ~ r1(X2,X14)
| ~ ( p16(X14)
& ~ p116(X14)
& p115(X14) ) ) )
| ~ ( ~ p115(X2)
& p114(X2) ) )
& ( ( ~ ! [X15] :
( ~ r1(X2,X15)
| ~ ( ~ p15(X15)
& ~ p115(X15)
& p114(X15) ) )
& ~ ! [X16] :
( ~ r1(X2,X16)
| ~ ( p15(X16)
& ~ p115(X16)
& p114(X16) ) ) )
| ~ ( ~ p114(X2)
& p113(X2) ) )
& ( ( ~ ! [X17] :
( ~ r1(X2,X17)
| ~ ( ~ p14(X17)
& ~ p114(X17)
& p113(X17) ) )
& ~ ! [X18] :
( ~ r1(X2,X18)
| ~ ( p14(X18)
& ~ p114(X18)
& p113(X18) ) ) )
| ~ ( ~ p113(X2)
& p112(X2) ) )
& ( ( ~ ! [X19] :
( ~ r1(X2,X19)
| ~ ( ~ p13(X19)
& ~ p113(X19)
& p112(X19) ) )
& ~ ! [X20] :
( ~ r1(X2,X20)
| ~ ( p13(X20)
& ~ p113(X20)
& p112(X20) ) ) )
| ~ ( ~ p112(X2)
& p111(X2) ) )
& ( ( ~ ! [X21] :
( ~ r1(X2,X21)
| ~ ( ~ p12(X21)
& ~ p112(X21)
& p111(X21) ) )
& ~ ! [X22] :
( ~ r1(X2,X22)
| ~ ( p12(X22)
& ~ p112(X22)
& p111(X22) ) ) )
| ~ ( ~ p111(X2)
& p110(X2) ) )
& ( ( ~ ! [X23] :
( ~ r1(X2,X23)
| ~ ( ~ p11(X23)
& ~ p111(X23)
& p110(X23) ) )
& ~ ! [X24] :
( ~ r1(X2,X24)
| ~ ( p11(X24)
& ~ p111(X24)
& p110(X24) ) ) )
| ~ ( ~ p110(X2)
& p109(X2) ) )
& ( ( ~ ! [X25] :
( ~ r1(X2,X25)
| ~ ( ~ p10(X25)
& ~ p110(X25)
& p109(X25) ) )
& ~ ! [X26] :
( ~ r1(X2,X26)
| ~ ( p10(X26)
& ~ p110(X26)
& p109(X26) ) ) )
| ~ ( ~ p109(X2)
& p108(X2) ) )
& ( ( ~ ! [X27] :
( ~ r1(X2,X27)
| ~ ( ~ p9(X27)
& ~ p109(X27)
& p108(X27) ) )
& ~ ! [X28] :
( ~ r1(X2,X28)
| ~ ( p9(X28)
& ~ p109(X28)
& p108(X28) ) ) )
| ~ ( ~ p108(X2)
& p107(X2) ) )
& ( ( ~ ! [X29] :
( ~ r1(X2,X29)
| ~ ( ~ p8(X29)
& ~ p108(X29)
& p107(X29) ) )
& ~ ! [X30] :
( ~ r1(X2,X30)
| ~ ( p8(X30)
& ~ p108(X30)
& p107(X30) ) ) )
| ~ ( ~ p107(X2)
& p106(X2) ) )
& ( ( ~ ! [X31] :
( ~ r1(X2,X31)
| ~ ( ~ p7(X31)
& ~ p107(X31)
& p106(X31) ) )
& ~ ! [X32] :
( ~ r1(X2,X32)
| ~ ( p7(X32)
& ~ p107(X32)
& p106(X32) ) ) )
| ~ ( ~ p106(X2)
& p105(X2) ) )
& ( ( ~ ! [X33] :
( ~ r1(X2,X33)
| ~ ( ~ p6(X33)
& ~ p106(X33)
& p105(X33) ) )
& ~ ! [X34] :
( ~ r1(X2,X34)
| ~ ( p6(X34)
& ~ p106(X34)
& p105(X34) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X35] :
( ~ r1(X2,X35)
| ~ ( ~ p5(X35)
& ~ p105(X35)
& p104(X35) ) )
& ~ ! [X36] :
( ~ r1(X2,X36)
| ~ ( p5(X36)
& ~ p105(X36)
& p104(X36) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X37] :
( ~ r1(X2,X37)
| ~ ( ~ p4(X37)
& ~ p104(X37)
& p103(X37) ) )
& ~ ! [X38] :
( ~ r1(X2,X38)
| ~ ( p4(X38)
& ~ p104(X38)
& p103(X38) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X39] :
( ~ r1(X2,X39)
| ~ ( ~ p3(X39)
& ~ p103(X39)
& p102(X39) ) )
& ~ ! [X40] :
( ~ r1(X2,X40)
| ~ ( p3(X40)
& ~ p103(X40)
& p102(X40) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X41] :
( ~ r1(X2,X41)
| ~ ( ~ p2(X41)
& ~ p102(X41)
& p101(X41) ) )
& ~ ! [X42] :
( ~ r1(X2,X42)
| ~ ( p2(X42)
& ~ p102(X42)
& p101(X42) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X43] :
( ~ r1(X2,X43)
| ~ p21(X43)
| ~ p120(X43) )
| p21(X2) )
& ( ! [X44] :
( ~ r1(X2,X44)
| p21(X44)
| ~ p120(X44) )
| ~ p21(X2) ) )
| ~ p120(X2) )
& ( ( ( ! [X45] :
( ~ r1(X2,X45)
| ~ p20(X45)
| ~ p119(X45) )
| p20(X2) )
& ( ! [X46] :
( ~ r1(X2,X46)
| p20(X46)
| ~ p119(X46) )
| ~ p20(X2) ) )
| ~ p119(X2) )
& ( ( ( ! [X47] :
( ~ r1(X2,X47)
| ~ p19(X47)
| ~ p118(X47) )
| p19(X2) )
& ( ! [X48] :
( ~ r1(X2,X48)
| p19(X48)
| ~ p118(X48) )
| ~ p19(X2) ) )
| ~ p118(X2) )
& ( ( ( ! [X49] :
( ~ r1(X2,X49)
| ~ p18(X49)
| ~ p117(X49) )
| p18(X2) )
& ( ! [X50] :
( ~ r1(X2,X50)
| p18(X50)
| ~ p117(X50) )
| ~ p18(X2) ) )
| ~ p117(X2) )
& ( ( ( ! [X51] :
( ~ r1(X2,X51)
| ~ p17(X51)
| ~ p116(X51) )
| p17(X2) )
& ( ! [X52] :
( ~ r1(X2,X52)
| p17(X52)
| ~ p116(X52) )
| ~ p17(X2) ) )
| ~ p116(X2) )
& ( ( ( ! [X53] :
( ~ r1(X2,X53)
| ~ p16(X53)
| ~ p115(X53) )
| p16(X2) )
& ( ! [X54] :
( ~ r1(X2,X54)
| p16(X54)
| ~ p115(X54) )
| ~ p16(X2) ) )
| ~ p115(X2) )
& ( ( ( ! [X55] :
( ~ r1(X2,X55)
| ~ p15(X55)
| ~ p114(X55) )
| p15(X2) )
& ( ! [X56] :
( ~ r1(X2,X56)
| p15(X56)
| ~ p114(X56) )
| ~ p15(X2) ) )
| ~ p114(X2) )
& ( ( ( ! [X57] :
( ~ r1(X2,X57)
| ~ p14(X57)
| ~ p113(X57) )
| p14(X2) )
& ( ! [X58] :
( ~ r1(X2,X58)
| p14(X58)
| ~ p113(X58) )
| ~ p14(X2) ) )
| ~ p113(X2) )
& ( ( ( ! [X59] :
( ~ r1(X2,X59)
| ~ p13(X59)
| ~ p112(X59) )
| p13(X2) )
& ( ! [X60] :
( ~ r1(X2,X60)
| p13(X60)
| ~ p112(X60) )
| ~ p13(X2) ) )
| ~ p112(X2) )
& ( ( ( ! [X61] :
( ~ r1(X2,X61)
| ~ p12(X61)
| ~ p111(X61) )
| p12(X2) )
& ( ! [X62] :
( ~ r1(X2,X62)
| p12(X62)
| ~ p111(X62) )
| ~ p12(X2) ) )
| ~ p111(X2) )
& ( ( ( ! [X63] :
( ~ r1(X2,X63)
| ~ p11(X63)
| ~ p110(X63) )
| p11(X2) )
& ( ! [X64] :
( ~ r1(X2,X64)
| p11(X64)
| ~ p110(X64) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X65] :
( ~ r1(X2,X65)
| ~ p10(X65)
| ~ p109(X65) )
| p10(X2) )
& ( ! [X66] :
( ~ r1(X2,X66)
| p10(X66)
| ~ p109(X66) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X67] :
( ~ r1(X2,X67)
| ~ p9(X67)
| ~ p108(X67) )
| p9(X2) )
& ( ! [X68] :
( ~ r1(X2,X68)
| p9(X68)
| ~ p108(X68) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X69] :
( ~ r1(X2,X69)
| ~ p8(X69)
| ~ p107(X69) )
| p8(X2) )
& ( ! [X70] :
( ~ r1(X2,X70)
| p8(X70)
| ~ p107(X70) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X71] :
( ~ r1(X2,X71)
| ~ p7(X71)
| ~ p106(X71) )
| p7(X2) )
& ( ! [X72] :
( ~ r1(X2,X72)
| p7(X72)
| ~ p106(X72) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X73] :
( ~ r1(X2,X73)
| ~ p6(X73)
| ~ p105(X73) )
| p6(X2) )
& ( ! [X74] :
( ~ r1(X2,X74)
| p6(X74)
| ~ p105(X74) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X75] :
( ~ r1(X2,X75)
| ~ p5(X75)
| ~ p104(X75) )
| p5(X2) )
& ( ! [X76] :
( ~ r1(X2,X76)
| p5(X76)
| ~ p104(X76) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X77] :
( ~ r1(X2,X77)
| ~ p4(X77)
| ~ p103(X77) )
| p4(X2) )
& ( ! [X78] :
( ~ r1(X2,X78)
| p4(X78)
| ~ p103(X78) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X79] :
( ~ r1(X2,X79)
| ~ p3(X79)
| ~ p102(X79) )
| p3(X2) )
& ( ! [X80] :
( ~ r1(X2,X80)
| p3(X80)
| ~ p102(X80) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X81] :
( ~ r1(X2,X81)
| ~ p2(X81)
| ~ p101(X81) )
| p2(X2) )
& ( ! [X82] :
( ~ r1(X2,X82)
| p2(X82)
| ~ p101(X82) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X83] :
( ~ r1(X2,X83)
| ~ p1(X83)
| ~ p100(X83) )
| p1(X2) )
& ( ! [X84] :
( ~ r1(X2,X84)
| p1(X84)
| ~ p100(X84) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p119(X2)
| ~ p120(X2) )
& ( p118(X2)
| ~ p119(X2) )
& ( p117(X2)
| ~ p118(X2) )
& ( p116(X2)
| ~ p117(X2) )
& ( p115(X2)
| ~ p116(X2) )
& ( p114(X2)
| ~ p115(X2) )
& ( p113(X2)
| ~ p114(X2) )
& ( p112(X2)
| ~ p113(X2) )
& ( p111(X2)
| ~ p112(X2) )
& ( p110(X2)
| ~ p111(X2) )
& ( p109(X2)
| ~ p110(X2) )
& ( p108(X2)
| ~ p109(X2) )
& ( p107(X2)
| ~ p108(X2) )
& ( p106(X2)
| ~ p107(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) )
& ~ p101(X0)
& p100(X0) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f8,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f9,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p8(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| ( ( ( ? [X3] :
( r1(X2,X3)
& ~ p21(X3)
& p120(X3) )
& ? [X4] :
( r1(X2,X4)
& p21(X4)
& p120(X4) ) )
| p120(X2)
| ~ p119(X2) )
& ( ( ? [X5] :
( r1(X2,X5)
& ~ p20(X5)
& ~ p120(X5)
& p119(X5) )
& ? [X6] :
( r1(X2,X6)
& p20(X6)
& ~ p120(X6)
& p119(X6) ) )
| p119(X2)
| ~ p118(X2) )
& ( ( ? [X7] :
( r1(X2,X7)
& ~ p19(X7)
& ~ p119(X7)
& p118(X7) )
& ? [X8] :
( r1(X2,X8)
& p19(X8)
& ~ p119(X8)
& p118(X8) ) )
| p118(X2)
| ~ p117(X2) )
& ( ( ? [X9] :
( r1(X2,X9)
& ~ p18(X9)
& ~ p118(X9)
& p117(X9) )
& ? [X10] :
( r1(X2,X10)
& p18(X10)
& ~ p118(X10)
& p117(X10) ) )
| p117(X2)
| ~ p116(X2) )
& ( ( ? [X11] :
( r1(X2,X11)
& ~ p17(X11)
& ~ p117(X11)
& p116(X11) )
& ? [X12] :
( r1(X2,X12)
& p17(X12)
& ~ p117(X12)
& p116(X12) ) )
| p116(X2)
| ~ p115(X2) )
& ( ( ? [X13] :
( r1(X2,X13)
& ~ p16(X13)
& ~ p116(X13)
& p115(X13) )
& ? [X14] :
( r1(X2,X14)
& p16(X14)
& ~ p116(X14)
& p115(X14) ) )
| p115(X2)
| ~ p114(X2) )
& ( ( ? [X15] :
( r1(X2,X15)
& ~ p15(X15)
& ~ p115(X15)
& p114(X15) )
& ? [X16] :
( r1(X2,X16)
& p15(X16)
& ~ p115(X16)
& p114(X16) ) )
| p114(X2)
| ~ p113(X2) )
& ( ( ? [X17] :
( r1(X2,X17)
& ~ p14(X17)
& ~ p114(X17)
& p113(X17) )
& ? [X18] :
( r1(X2,X18)
& p14(X18)
& ~ p114(X18)
& p113(X18) ) )
| p113(X2)
| ~ p112(X2) )
& ( ( ? [X19] :
( r1(X2,X19)
& ~ p13(X19)
& ~ p113(X19)
& p112(X19) )
& ? [X20] :
( r1(X2,X20)
& p13(X20)
& ~ p113(X20)
& p112(X20) ) )
| p112(X2)
| ~ p111(X2) )
& ( ( ? [X21] :
( r1(X2,X21)
& ~ p12(X21)
& ~ p112(X21)
& p111(X21) )
& ? [X22] :
( r1(X2,X22)
& p12(X22)
& ~ p112(X22)
& p111(X22) ) )
| p111(X2)
| ~ p110(X2) )
& ( ( ? [X23] :
( r1(X2,X23)
& ~ p11(X23)
& ~ p111(X23)
& p110(X23) )
& ? [X24] :
( r1(X2,X24)
& p11(X24)
& ~ p111(X24)
& p110(X24) ) )
| p110(X2)
| ~ p109(X2) )
& ( ( ? [X25] :
( r1(X2,X25)
& ~ p10(X25)
& ~ p110(X25)
& p109(X25) )
& ? [X26] :
( r1(X2,X26)
& p10(X26)
& ~ p110(X26)
& p109(X26) ) )
| p109(X2)
| ~ p108(X2) )
& ( ( ? [X27] :
( r1(X2,X27)
& ~ p9(X27)
& ~ p109(X27)
& p108(X27) )
& ? [X28] :
( r1(X2,X28)
& p9(X28)
& ~ p109(X28)
& p108(X28) ) )
| p108(X2)
| ~ p107(X2) )
& ( ( ? [X29] :
( r1(X2,X29)
& ~ p8(X29)
& ~ p108(X29)
& p107(X29) )
& ? [X30] :
( r1(X2,X30)
& p8(X30)
& ~ p108(X30)
& p107(X30) ) )
| p107(X2)
| ~ p106(X2) )
& ( ( ? [X31] :
( r1(X2,X31)
& ~ p7(X31)
& ~ p107(X31)
& p106(X31) )
& ? [X32] :
( r1(X2,X32)
& p7(X32)
& ~ p107(X32)
& p106(X32) ) )
| p106(X2)
| ~ p105(X2) )
& ( ( ? [X33] :
( r1(X2,X33)
& ~ p6(X33)
& ~ p106(X33)
& p105(X33) )
& ? [X34] :
( r1(X2,X34)
& p6(X34)
& ~ p106(X34)
& p105(X34) ) )
| p105(X2)
| ~ p104(X2) )
& ( ( ? [X35] :
( r1(X2,X35)
& ~ p5(X35)
& ~ p105(X35)
& p104(X35) )
& ? [X36] :
( r1(X2,X36)
& p5(X36)
& ~ p105(X36)
& p104(X36) ) )
| p104(X2)
| ~ p103(X2) )
& ( ( ? [X37] :
( r1(X2,X37)
& ~ p4(X37)
& ~ p104(X37)
& p103(X37) )
& ? [X38] :
( r1(X2,X38)
& p4(X38)
& ~ p104(X38)
& p103(X38) ) )
| p103(X2)
| ~ p102(X2) )
& ( ( ? [X39] :
( r1(X2,X39)
& ~ p3(X39)
& ~ p103(X39)
& p102(X39) )
& ? [X40] :
( r1(X2,X40)
& p3(X40)
& ~ p103(X40)
& p102(X40) ) )
| p102(X2)
| ~ p101(X2) )
& ( ( ? [X41] :
( r1(X2,X41)
& ~ p2(X41)
& ~ p102(X41)
& p101(X41) )
& ? [X42] :
( r1(X2,X42)
& p2(X42)
& ~ p102(X42)
& p101(X42) ) )
| p101(X2)
| ~ p100(X2) )
& ( ( ( ! [X43] :
( ~ r1(X2,X43)
| ~ p21(X43)
| ~ p120(X43) )
| p21(X2) )
& ( ! [X44] :
( ~ r1(X2,X44)
| p21(X44)
| ~ p120(X44) )
| ~ p21(X2) ) )
| ~ p120(X2) )
& ( ( ( ! [X45] :
( ~ r1(X2,X45)
| ~ p20(X45)
| ~ p119(X45) )
| p20(X2) )
& ( ! [X46] :
( ~ r1(X2,X46)
| p20(X46)
| ~ p119(X46) )
| ~ p20(X2) ) )
| ~ p119(X2) )
& ( ( ( ! [X47] :
( ~ r1(X2,X47)
| ~ p19(X47)
| ~ p118(X47) )
| p19(X2) )
& ( ! [X48] :
( ~ r1(X2,X48)
| p19(X48)
| ~ p118(X48) )
| ~ p19(X2) ) )
| ~ p118(X2) )
& ( ( ( ! [X49] :
( ~ r1(X2,X49)
| ~ p18(X49)
| ~ p117(X49) )
| p18(X2) )
& ( ! [X50] :
( ~ r1(X2,X50)
| p18(X50)
| ~ p117(X50) )
| ~ p18(X2) ) )
| ~ p117(X2) )
& ( ( ( ! [X51] :
( ~ r1(X2,X51)
| ~ p17(X51)
| ~ p116(X51) )
| p17(X2) )
& ( ! [X52] :
( ~ r1(X2,X52)
| p17(X52)
| ~ p116(X52) )
| ~ p17(X2) ) )
| ~ p116(X2) )
& ( ( ( ! [X53] :
( ~ r1(X2,X53)
| ~ p16(X53)
| ~ p115(X53) )
| p16(X2) )
& ( ! [X54] :
( ~ r1(X2,X54)
| p16(X54)
| ~ p115(X54) )
| ~ p16(X2) ) )
| ~ p115(X2) )
& ( ( ( ! [X55] :
( ~ r1(X2,X55)
| ~ p15(X55)
| ~ p114(X55) )
| p15(X2) )
& ( ! [X56] :
( ~ r1(X2,X56)
| p15(X56)
| ~ p114(X56) )
| ~ p15(X2) ) )
| ~ p114(X2) )
& ( ( ( ! [X57] :
( ~ r1(X2,X57)
| ~ p14(X57)
| ~ p113(X57) )
| p14(X2) )
& ( ! [X58] :
( ~ r1(X2,X58)
| p14(X58)
| ~ p113(X58) )
| ~ p14(X2) ) )
| ~ p113(X2) )
& ( ( ( ! [X59] :
( ~ r1(X2,X59)
| ~ p13(X59)
| ~ p112(X59) )
| p13(X2) )
& ( ! [X60] :
( ~ r1(X2,X60)
| p13(X60)
| ~ p112(X60) )
| ~ p13(X2) ) )
| ~ p112(X2) )
& ( ( ( ! [X61] :
( ~ r1(X2,X61)
| ~ p12(X61)
| ~ p111(X61) )
| p12(X2) )
& ( ! [X62] :
( ~ r1(X2,X62)
| p12(X62)
| ~ p111(X62) )
| ~ p12(X2) ) )
| ~ p111(X2) )
& ( ( ( ! [X63] :
( ~ r1(X2,X63)
| ~ p11(X63)
| ~ p110(X63) )
| p11(X2) )
& ( ! [X64] :
( ~ r1(X2,X64)
| p11(X64)
| ~ p110(X64) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X65] :
( ~ r1(X2,X65)
| ~ p10(X65)
| ~ p109(X65) )
| p10(X2) )
& ( ! [X66] :
( ~ r1(X2,X66)
| p10(X66)
| ~ p109(X66) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X67] :
( ~ r1(X2,X67)
| ~ p9(X67)
| ~ p108(X67) )
| p9(X2) )
& ( ! [X68] :
( ~ r1(X2,X68)
| p9(X68)
| ~ p108(X68) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X69] :
( ~ r1(X2,X69)
| ~ p8(X69)
| ~ p107(X69) )
| p8(X2) )
& ( ! [X70] :
( ~ r1(X2,X70)
| p8(X70)
| ~ p107(X70) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X71] :
( ~ r1(X2,X71)
| ~ p7(X71)
| ~ p106(X71) )
| p7(X2) )
& ( ! [X72] :
( ~ r1(X2,X72)
| p7(X72)
| ~ p106(X72) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X73] :
( ~ r1(X2,X73)
| ~ p6(X73)
| ~ p105(X73) )
| p6(X2) )
& ( ! [X74] :
( ~ r1(X2,X74)
| p6(X74)
| ~ p105(X74) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X75] :
( ~ r1(X2,X75)
| ~ p5(X75)
| ~ p104(X75) )
| p5(X2) )
& ( ! [X76] :
( ~ r1(X2,X76)
| p5(X76)
| ~ p104(X76) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X77] :
( ~ r1(X2,X77)
| ~ p4(X77)
| ~ p103(X77) )
| p4(X2) )
& ( ! [X78] :
( ~ r1(X2,X78)
| p4(X78)
| ~ p103(X78) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X79] :
( ~ r1(X2,X79)
| ~ p3(X79)
| ~ p102(X79) )
| p3(X2) )
& ( ! [X80] :
( ~ r1(X2,X80)
| p3(X80)
| ~ p102(X80) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X81] :
( ~ r1(X2,X81)
| ~ p2(X81)
| ~ p101(X81) )
| p2(X2) )
& ( ! [X82] :
( ~ r1(X2,X82)
| p2(X82)
| ~ p101(X82) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X83] :
( ~ r1(X2,X83)
| ~ p1(X83)
| ~ p100(X83) )
| p1(X2) )
& ( ! [X84] :
( ~ r1(X2,X84)
| p1(X84)
| ~ p100(X84) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p119(X2)
| ~ p120(X2) )
& ( p118(X2)
| ~ p119(X2) )
& ( p117(X2)
| ~ p118(X2) )
& ( p116(X2)
| ~ p117(X2) )
& ( p115(X2)
| ~ p116(X2) )
& ( p114(X2)
| ~ p115(X2) )
& ( p113(X2)
| ~ p114(X2) )
& ( p112(X2)
| ~ p113(X2) )
& ( p111(X2)
| ~ p112(X2) )
& ( p110(X2)
| ~ p111(X2) )
& ( p109(X2)
| ~ p110(X2) )
& ( p108(X2)
| ~ p109(X2) )
& ( p107(X2)
| ~ p108(X2) )
& ( p106(X2)
| ~ p107(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) )
& ~ p101(X0)
& p100(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f11,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p8(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| ( ( ( ? [X3] :
( r1(X2,X3)
& ~ p21(X3)
& p120(X3) )
& ? [X4] :
( r1(X2,X4)
& p21(X4)
& p120(X4) ) )
| p120(X2)
| ~ p119(X2) )
& ( ( ? [X5] :
( r1(X2,X5)
& ~ p20(X5)
& ~ p120(X5)
& p119(X5) )
& ? [X6] :
( r1(X2,X6)
& p20(X6)
& ~ p120(X6)
& p119(X6) ) )
| p119(X2)
| ~ p118(X2) )
& ( ( ? [X7] :
( r1(X2,X7)
& ~ p19(X7)
& ~ p119(X7)
& p118(X7) )
& ? [X8] :
( r1(X2,X8)
& p19(X8)
& ~ p119(X8)
& p118(X8) ) )
| p118(X2)
| ~ p117(X2) )
& ( ( ? [X9] :
( r1(X2,X9)
& ~ p18(X9)
& ~ p118(X9)
& p117(X9) )
& ? [X10] :
( r1(X2,X10)
& p18(X10)
& ~ p118(X10)
& p117(X10) ) )
| p117(X2)
| ~ p116(X2) )
& ( ( ? [X11] :
( r1(X2,X11)
& ~ p17(X11)
& ~ p117(X11)
& p116(X11) )
& ? [X12] :
( r1(X2,X12)
& p17(X12)
& ~ p117(X12)
& p116(X12) ) )
| p116(X2)
| ~ p115(X2) )
& ( ( ? [X13] :
( r1(X2,X13)
& ~ p16(X13)
& ~ p116(X13)
& p115(X13) )
& ? [X14] :
( r1(X2,X14)
& p16(X14)
& ~ p116(X14)
& p115(X14) ) )
| p115(X2)
| ~ p114(X2) )
& ( ( ? [X15] :
( r1(X2,X15)
& ~ p15(X15)
& ~ p115(X15)
& p114(X15) )
& ? [X16] :
( r1(X2,X16)
& p15(X16)
& ~ p115(X16)
& p114(X16) ) )
| p114(X2)
| ~ p113(X2) )
& ( ( ? [X17] :
( r1(X2,X17)
& ~ p14(X17)
& ~ p114(X17)
& p113(X17) )
& ? [X18] :
( r1(X2,X18)
& p14(X18)
& ~ p114(X18)
& p113(X18) ) )
| p113(X2)
| ~ p112(X2) )
& ( ( ? [X19] :
( r1(X2,X19)
& ~ p13(X19)
& ~ p113(X19)
& p112(X19) )
& ? [X20] :
( r1(X2,X20)
& p13(X20)
& ~ p113(X20)
& p112(X20) ) )
| p112(X2)
| ~ p111(X2) )
& ( ( ? [X21] :
( r1(X2,X21)
& ~ p12(X21)
& ~ p112(X21)
& p111(X21) )
& ? [X22] :
( r1(X2,X22)
& p12(X22)
& ~ p112(X22)
& p111(X22) ) )
| p111(X2)
| ~ p110(X2) )
& ( ( ? [X23] :
( r1(X2,X23)
& ~ p11(X23)
& ~ p111(X23)
& p110(X23) )
& ? [X24] :
( r1(X2,X24)
& p11(X24)
& ~ p111(X24)
& p110(X24) ) )
| p110(X2)
| ~ p109(X2) )
& ( ( ? [X25] :
( r1(X2,X25)
& ~ p10(X25)
& ~ p110(X25)
& p109(X25) )
& ? [X26] :
( r1(X2,X26)
& p10(X26)
& ~ p110(X26)
& p109(X26) ) )
| p109(X2)
| ~ p108(X2) )
& ( ( ? [X27] :
( r1(X2,X27)
& ~ p9(X27)
& ~ p109(X27)
& p108(X27) )
& ? [X28] :
( r1(X2,X28)
& p9(X28)
& ~ p109(X28)
& p108(X28) ) )
| p108(X2)
| ~ p107(X2) )
& ( ( ? [X29] :
( r1(X2,X29)
& ~ p8(X29)
& ~ p108(X29)
& p107(X29) )
& ? [X30] :
( r1(X2,X30)
& p8(X30)
& ~ p108(X30)
& p107(X30) ) )
| p107(X2)
| ~ p106(X2) )
& ( ( ? [X31] :
( r1(X2,X31)
& ~ p7(X31)
& ~ p107(X31)
& p106(X31) )
& ? [X32] :
( r1(X2,X32)
& p7(X32)
& ~ p107(X32)
& p106(X32) ) )
| p106(X2)
| ~ p105(X2) )
& ( ( ? [X33] :
( r1(X2,X33)
& ~ p6(X33)
& ~ p106(X33)
& p105(X33) )
& ? [X34] :
( r1(X2,X34)
& p6(X34)
& ~ p106(X34)
& p105(X34) ) )
| p105(X2)
| ~ p104(X2) )
& ( ( ? [X35] :
( r1(X2,X35)
& ~ p5(X35)
& ~ p105(X35)
& p104(X35) )
& ? [X36] :
( r1(X2,X36)
& p5(X36)
& ~ p105(X36)
& p104(X36) ) )
| p104(X2)
| ~ p103(X2) )
& ( ( ? [X37] :
( r1(X2,X37)
& ~ p4(X37)
& ~ p104(X37)
& p103(X37) )
& ? [X38] :
( r1(X2,X38)
& p4(X38)
& ~ p104(X38)
& p103(X38) ) )
| p103(X2)
| ~ p102(X2) )
& ( ( ? [X39] :
( r1(X2,X39)
& ~ p3(X39)
& ~ p103(X39)
& p102(X39) )
& ? [X40] :
( r1(X2,X40)
& p3(X40)
& ~ p103(X40)
& p102(X40) ) )
| p102(X2)
| ~ p101(X2) )
& ( ( ? [X41] :
( r1(X2,X41)
& ~ p2(X41)
& ~ p102(X41)
& p101(X41) )
& ? [X42] :
( r1(X2,X42)
& p2(X42)
& ~ p102(X42)
& p101(X42) ) )
| p101(X2)
| ~ p100(X2) )
& ( ( ( ! [X43] :
( ~ r1(X2,X43)
| ~ p21(X43)
| ~ p120(X43) )
| p21(X2) )
& ( ! [X44] :
( ~ r1(X2,X44)
| p21(X44)
| ~ p120(X44) )
| ~ p21(X2) ) )
| ~ p120(X2) )
& ( ( ( ! [X45] :
( ~ r1(X2,X45)
| ~ p20(X45)
| ~ p119(X45) )
| p20(X2) )
& ( ! [X46] :
( ~ r1(X2,X46)
| p20(X46)
| ~ p119(X46) )
| ~ p20(X2) ) )
| ~ p119(X2) )
& ( ( ( ! [X47] :
( ~ r1(X2,X47)
| ~ p19(X47)
| ~ p118(X47) )
| p19(X2) )
& ( ! [X48] :
( ~ r1(X2,X48)
| p19(X48)
| ~ p118(X48) )
| ~ p19(X2) ) )
| ~ p118(X2) )
& ( ( ( ! [X49] :
( ~ r1(X2,X49)
| ~ p18(X49)
| ~ p117(X49) )
| p18(X2) )
& ( ! [X50] :
( ~ r1(X2,X50)
| p18(X50)
| ~ p117(X50) )
| ~ p18(X2) ) )
| ~ p117(X2) )
& ( ( ( ! [X51] :
( ~ r1(X2,X51)
| ~ p17(X51)
| ~ p116(X51) )
| p17(X2) )
& ( ! [X52] :
( ~ r1(X2,X52)
| p17(X52)
| ~ p116(X52) )
| ~ p17(X2) ) )
| ~ p116(X2) )
& ( ( ( ! [X53] :
( ~ r1(X2,X53)
| ~ p16(X53)
| ~ p115(X53) )
| p16(X2) )
& ( ! [X54] :
( ~ r1(X2,X54)
| p16(X54)
| ~ p115(X54) )
| ~ p16(X2) ) )
| ~ p115(X2) )
& ( ( ( ! [X55] :
( ~ r1(X2,X55)
| ~ p15(X55)
| ~ p114(X55) )
| p15(X2) )
& ( ! [X56] :
( ~ r1(X2,X56)
| p15(X56)
| ~ p114(X56) )
| ~ p15(X2) ) )
| ~ p114(X2) )
& ( ( ( ! [X57] :
( ~ r1(X2,X57)
| ~ p14(X57)
| ~ p113(X57) )
| p14(X2) )
& ( ! [X58] :
( ~ r1(X2,X58)
| p14(X58)
| ~ p113(X58) )
| ~ p14(X2) ) )
| ~ p113(X2) )
& ( ( ( ! [X59] :
( ~ r1(X2,X59)
| ~ p13(X59)
| ~ p112(X59) )
| p13(X2) )
& ( ! [X60] :
( ~ r1(X2,X60)
| p13(X60)
| ~ p112(X60) )
| ~ p13(X2) ) )
| ~ p112(X2) )
& ( ( ( ! [X61] :
( ~ r1(X2,X61)
| ~ p12(X61)
| ~ p111(X61) )
| p12(X2) )
& ( ! [X62] :
( ~ r1(X2,X62)
| p12(X62)
| ~ p111(X62) )
| ~ p12(X2) ) )
| ~ p111(X2) )
& ( ( ( ! [X63] :
( ~ r1(X2,X63)
| ~ p11(X63)
| ~ p110(X63) )
| p11(X2) )
& ( ! [X64] :
( ~ r1(X2,X64)
| p11(X64)
| ~ p110(X64) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X65] :
( ~ r1(X2,X65)
| ~ p10(X65)
| ~ p109(X65) )
| p10(X2) )
& ( ! [X66] :
( ~ r1(X2,X66)
| p10(X66)
| ~ p109(X66) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X67] :
( ~ r1(X2,X67)
| ~ p9(X67)
| ~ p108(X67) )
| p9(X2) )
& ( ! [X68] :
( ~ r1(X2,X68)
| p9(X68)
| ~ p108(X68) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X69] :
( ~ r1(X2,X69)
| ~ p8(X69)
| ~ p107(X69) )
| p8(X2) )
& ( ! [X70] :
( ~ r1(X2,X70)
| p8(X70)
| ~ p107(X70) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X71] :
( ~ r1(X2,X71)
| ~ p7(X71)
| ~ p106(X71) )
| p7(X2) )
& ( ! [X72] :
( ~ r1(X2,X72)
| p7(X72)
| ~ p106(X72) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X73] :
( ~ r1(X2,X73)
| ~ p6(X73)
| ~ p105(X73) )
| p6(X2) )
& ( ! [X74] :
( ~ r1(X2,X74)
| p6(X74)
| ~ p105(X74) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X75] :
( ~ r1(X2,X75)
| ~ p5(X75)
| ~ p104(X75) )
| p5(X2) )
& ( ! [X76] :
( ~ r1(X2,X76)
| p5(X76)
| ~ p104(X76) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X77] :
( ~ r1(X2,X77)
| ~ p4(X77)
| ~ p103(X77) )
| p4(X2) )
& ( ! [X78] :
( ~ r1(X2,X78)
| p4(X78)
| ~ p103(X78) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X79] :
( ~ r1(X2,X79)
| ~ p3(X79)
| ~ p102(X79) )
| p3(X2) )
& ( ! [X80] :
( ~ r1(X2,X80)
| p3(X80)
| ~ p102(X80) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X81] :
( ~ r1(X2,X81)
| ~ p2(X81)
| ~ p101(X81) )
| p2(X2) )
& ( ! [X82] :
( ~ r1(X2,X82)
| p2(X82)
| ~ p101(X82) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X83] :
( ~ r1(X2,X83)
| ~ p1(X83)
| ~ p100(X83) )
| p1(X2) )
& ( ! [X84] :
( ~ r1(X2,X84)
| p1(X84)
| ~ p100(X84) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p119(X2)
| ~ p120(X2) )
& ( p118(X2)
| ~ p119(X2) )
& ( p117(X2)
| ~ p118(X2) )
& ( p116(X2)
| ~ p117(X2) )
& ( p115(X2)
| ~ p116(X2) )
& ( p114(X2)
| ~ p115(X2) )
& ( p113(X2)
| ~ p114(X2) )
& ( p112(X2)
| ~ p113(X2) )
& ( p111(X2)
| ~ p112(X2) )
& ( p110(X2)
| ~ p111(X2) )
& ( p109(X2)
| ~ p110(X2) )
& ( p108(X2)
| ~ p109(X2) )
& ( p107(X2)
| ~ p108(X2) )
& ( p106(X2)
| ~ p107(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) )
& ~ p101(X0)
& p100(X0) ),
inference(flattening,[],[f10]) ).
fof(f12,definition,
! [X2] :
( ( ? [X41] :
( r1(X2,X41)
& ~ p2(X41)
& ~ p102(X41)
& p101(X41) )
& ? [X42] :
( r1(X2,X42)
& p2(X42)
& ~ p102(X42)
& p101(X42) ) )
| p101(X2)
| ~ p100(X2)
| ~ sP0(X2) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X2] :
( ( ? [X39] :
( r1(X2,X39)
& ~ p3(X39)
& ~ p103(X39)
& p102(X39) )
& ? [X40] :
( r1(X2,X40)
& p3(X40)
& ~ p103(X40)
& p102(X40) ) )
| p102(X2)
| ~ p101(X2)
| ~ sP1(X2) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X2] :
( ( ? [X37] :
( r1(X2,X37)
& ~ p4(X37)
& ~ p104(X37)
& p103(X37) )
& ? [X38] :
( r1(X2,X38)
& p4(X38)
& ~ p104(X38)
& p103(X38) ) )
| p103(X2)
| ~ p102(X2)
| ~ sP2(X2) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X2] :
( ( ? [X35] :
( r1(X2,X35)
& ~ p5(X35)
& ~ p105(X35)
& p104(X35) )
& ? [X36] :
( r1(X2,X36)
& p5(X36)
& ~ p105(X36)
& p104(X36) ) )
| p104(X2)
| ~ p103(X2)
| ~ sP3(X2) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X2] :
( ( ? [X33] :
( r1(X2,X33)
& ~ p6(X33)
& ~ p106(X33)
& p105(X33) )
& ? [X34] :
( r1(X2,X34)
& p6(X34)
& ~ p106(X34)
& p105(X34) ) )
| p105(X2)
| ~ p104(X2)
| ~ sP4(X2) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f17,definition,
! [X2] :
( ( ? [X31] :
( r1(X2,X31)
& ~ p7(X31)
& ~ p107(X31)
& p106(X31) )
& ? [X32] :
( r1(X2,X32)
& p7(X32)
& ~ p107(X32)
& p106(X32) ) )
| p106(X2)
| ~ p105(X2)
| ~ sP5(X2) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f18,definition,
! [X2] :
( ( ? [X29] :
( r1(X2,X29)
& ~ p8(X29)
& ~ p108(X29)
& p107(X29) )
& ? [X30] :
( r1(X2,X30)
& p8(X30)
& ~ p108(X30)
& p107(X30) ) )
| p107(X2)
| ~ p106(X2)
| ~ sP6(X2) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f19,definition,
! [X2] :
( ( ? [X27] :
( r1(X2,X27)
& ~ p9(X27)
& ~ p109(X27)
& p108(X27) )
& ? [X28] :
( r1(X2,X28)
& p9(X28)
& ~ p109(X28)
& p108(X28) ) )
| p108(X2)
| ~ p107(X2)
| ~ sP7(X2) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f20,definition,
! [X2] :
( ( ? [X25] :
( r1(X2,X25)
& ~ p10(X25)
& ~ p110(X25)
& p109(X25) )
& ? [X26] :
( r1(X2,X26)
& p10(X26)
& ~ p110(X26)
& p109(X26) ) )
| p109(X2)
| ~ p108(X2)
| ~ sP8(X2) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f21,definition,
! [X2] :
( ( ? [X23] :
( r1(X2,X23)
& ~ p11(X23)
& ~ p111(X23)
& p110(X23) )
& ? [X24] :
( r1(X2,X24)
& p11(X24)
& ~ p111(X24)
& p110(X24) ) )
| p110(X2)
| ~ p109(X2)
| ~ sP9(X2) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f22,definition,
! [X2] :
( ( ? [X21] :
( r1(X2,X21)
& ~ p12(X21)
& ~ p112(X21)
& p111(X21) )
& ? [X22] :
( r1(X2,X22)
& p12(X22)
& ~ p112(X22)
& p111(X22) ) )
| p111(X2)
| ~ p110(X2)
| ~ sP10(X2) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f23,definition,
! [X2] :
( ( ? [X19] :
( r1(X2,X19)
& ~ p13(X19)
& ~ p113(X19)
& p112(X19) )
& ? [X20] :
( r1(X2,X20)
& p13(X20)
& ~ p113(X20)
& p112(X20) ) )
| p112(X2)
| ~ p111(X2)
| ~ sP11(X2) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f24,definition,
! [X2] :
( ( ? [X17] :
( r1(X2,X17)
& ~ p14(X17)
& ~ p114(X17)
& p113(X17) )
& ? [X18] :
( r1(X2,X18)
& p14(X18)
& ~ p114(X18)
& p113(X18) ) )
| p113(X2)
| ~ p112(X2)
| ~ sP12(X2) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f25,definition,
! [X2] :
( ( ? [X15] :
( r1(X2,X15)
& ~ p15(X15)
& ~ p115(X15)
& p114(X15) )
& ? [X16] :
( r1(X2,X16)
& p15(X16)
& ~ p115(X16)
& p114(X16) ) )
| p114(X2)
| ~ p113(X2)
| ~ sP13(X2) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f26,definition,
! [X2] :
( ( ? [X13] :
( r1(X2,X13)
& ~ p16(X13)
& ~ p116(X13)
& p115(X13) )
& ? [X14] :
( r1(X2,X14)
& p16(X14)
& ~ p116(X14)
& p115(X14) ) )
| p115(X2)
| ~ p114(X2)
| ~ sP14(X2) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f27,definition,
! [X2] :
( ( ? [X11] :
( r1(X2,X11)
& ~ p17(X11)
& ~ p117(X11)
& p116(X11) )
& ? [X12] :
( r1(X2,X12)
& p17(X12)
& ~ p117(X12)
& p116(X12) ) )
| p116(X2)
| ~ p115(X2)
| ~ sP15(X2) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f28,definition,
! [X2] :
( ( ? [X9] :
( r1(X2,X9)
& ~ p18(X9)
& ~ p118(X9)
& p117(X9) )
& ? [X10] :
( r1(X2,X10)
& p18(X10)
& ~ p118(X10)
& p117(X10) ) )
| p117(X2)
| ~ p116(X2)
| ~ sP16(X2) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f29,definition,
! [X2] :
( ( ? [X7] :
( r1(X2,X7)
& ~ p19(X7)
& ~ p119(X7)
& p118(X7) )
& ? [X8] :
( r1(X2,X8)
& p19(X8)
& ~ p119(X8)
& p118(X8) ) )
| p118(X2)
| ~ p117(X2)
| ~ sP17(X2) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f30,definition,
! [X2] :
( ( ? [X5] :
( r1(X2,X5)
& ~ p20(X5)
& ~ p120(X5)
& p119(X5) )
& ? [X6] :
( r1(X2,X6)
& p20(X6)
& ~ p120(X6)
& p119(X6) ) )
| p119(X2)
| ~ p118(X2)
| ~ sP18(X2) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f31,definition,
! [X2] :
( ( ? [X3] :
( r1(X2,X3)
& ~ p21(X3)
& p120(X3) )
& ? [X4] :
( r1(X2,X4)
& p21(X4)
& p120(X4) ) )
| p120(X2)
| ~ p119(X2)
| ~ sP19(X2) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f32,definition,
! [X2] :
( ( ( ! [X83] :
( ~ r1(X2,X83)
| ~ p1(X83)
| ~ p100(X83) )
| p1(X2) )
& ( ! [X84] :
( ~ r1(X2,X84)
| p1(X84)
| ~ p100(X84) )
| ~ p1(X2) ) )
| ~ p100(X2)
| ~ sP20(X2) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f33,definition,
! [X2] :
( ( ( ! [X81] :
( ~ r1(X2,X81)
| ~ p2(X81)
| ~ p101(X81) )
| p2(X2) )
& ( ! [X82] :
( ~ r1(X2,X82)
| p2(X82)
| ~ p101(X82) )
| ~ p2(X2) ) )
| ~ p101(X2)
| ~ sP21(X2) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f34,definition,
! [X2] :
( ( ( ! [X79] :
( ~ r1(X2,X79)
| ~ p3(X79)
| ~ p102(X79) )
| p3(X2) )
& ( ! [X80] :
( ~ r1(X2,X80)
| p3(X80)
| ~ p102(X80) )
| ~ p3(X2) ) )
| ~ p102(X2)
| ~ sP22(X2) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f35,definition,
! [X2] :
( ( ( ! [X77] :
( ~ r1(X2,X77)
| ~ p4(X77)
| ~ p103(X77) )
| p4(X2) )
& ( ! [X78] :
( ~ r1(X2,X78)
| p4(X78)
| ~ p103(X78) )
| ~ p4(X2) ) )
| ~ p103(X2)
| ~ sP23(X2) ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f36,definition,
! [X2] :
( ( ( ! [X75] :
( ~ r1(X2,X75)
| ~ p5(X75)
| ~ p104(X75) )
| p5(X2) )
& ( ! [X76] :
( ~ r1(X2,X76)
| p5(X76)
| ~ p104(X76) )
| ~ p5(X2) ) )
| ~ p104(X2)
| ~ sP24(X2) ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f37,definition,
! [X2] :
( ( ( ! [X73] :
( ~ r1(X2,X73)
| ~ p6(X73)
| ~ p105(X73) )
| p6(X2) )
& ( ! [X74] :
( ~ r1(X2,X74)
| p6(X74)
| ~ p105(X74) )
| ~ p6(X2) ) )
| ~ p105(X2)
| ~ sP25(X2) ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f38,definition,
! [X2] :
( ( ( ! [X71] :
( ~ r1(X2,X71)
| ~ p7(X71)
| ~ p106(X71) )
| p7(X2) )
& ( ! [X72] :
( ~ r1(X2,X72)
| p7(X72)
| ~ p106(X72) )
| ~ p7(X2) ) )
| ~ p106(X2)
| ~ sP26(X2) ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f39,definition,
! [X2] :
( ( ( ! [X69] :
( ~ r1(X2,X69)
| ~ p8(X69)
| ~ p107(X69) )
| p8(X2) )
& ( ! [X70] :
( ~ r1(X2,X70)
| p8(X70)
| ~ p107(X70) )
| ~ p8(X2) ) )
| ~ p107(X2)
| ~ sP27(X2) ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f40,definition,
! [X2] :
( ( ( ! [X67] :
( ~ r1(X2,X67)
| ~ p9(X67)
| ~ p108(X67) )
| p9(X2) )
& ( ! [X68] :
( ~ r1(X2,X68)
| p9(X68)
| ~ p108(X68) )
| ~ p9(X2) ) )
| ~ p108(X2)
| ~ sP28(X2) ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f41,definition,
! [X2] :
( ( ( ! [X65] :
( ~ r1(X2,X65)
| ~ p10(X65)
| ~ p109(X65) )
| p10(X2) )
& ( ! [X66] :
( ~ r1(X2,X66)
| p10(X66)
| ~ p109(X66) )
| ~ p10(X2) ) )
| ~ p109(X2)
| ~ sP29(X2) ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f42,definition,
! [X2] :
( ( ( ! [X63] :
( ~ r1(X2,X63)
| ~ p11(X63)
| ~ p110(X63) )
| p11(X2) )
& ( ! [X64] :
( ~ r1(X2,X64)
| p11(X64)
| ~ p110(X64) )
| ~ p11(X2) ) )
| ~ p110(X2)
| ~ sP30(X2) ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f43,definition,
! [X2] :
( ( ( ! [X61] :
( ~ r1(X2,X61)
| ~ p12(X61)
| ~ p111(X61) )
| p12(X2) )
& ( ! [X62] :
( ~ r1(X2,X62)
| p12(X62)
| ~ p111(X62) )
| ~ p12(X2) ) )
| ~ p111(X2)
| ~ sP31(X2) ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f44,definition,
! [X2] :
( ( ( ! [X59] :
( ~ r1(X2,X59)
| ~ p13(X59)
| ~ p112(X59) )
| p13(X2) )
& ( ! [X60] :
( ~ r1(X2,X60)
| p13(X60)
| ~ p112(X60) )
| ~ p13(X2) ) )
| ~ p112(X2)
| ~ sP32(X2) ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f45,definition,
! [X2] :
( ( ( ! [X57] :
( ~ r1(X2,X57)
| ~ p14(X57)
| ~ p113(X57) )
| p14(X2) )
& ( ! [X58] :
( ~ r1(X2,X58)
| p14(X58)
| ~ p113(X58) )
| ~ p14(X2) ) )
| ~ p113(X2)
| ~ sP33(X2) ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f46,definition,
! [X2] :
( ( ( ! [X55] :
( ~ r1(X2,X55)
| ~ p15(X55)
| ~ p114(X55) )
| p15(X2) )
& ( ! [X56] :
( ~ r1(X2,X56)
| p15(X56)
| ~ p114(X56) )
| ~ p15(X2) ) )
| ~ p114(X2)
| ~ sP34(X2) ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f47,definition,
! [X2] :
( ( ( ! [X53] :
( ~ r1(X2,X53)
| ~ p16(X53)
| ~ p115(X53) )
| p16(X2) )
& ( ! [X54] :
( ~ r1(X2,X54)
| p16(X54)
| ~ p115(X54) )
| ~ p16(X2) ) )
| ~ p115(X2)
| ~ sP35(X2) ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f48,definition,
! [X2] :
( ( ( ! [X51] :
( ~ r1(X2,X51)
| ~ p17(X51)
| ~ p116(X51) )
| p17(X2) )
& ( ! [X52] :
( ~ r1(X2,X52)
| p17(X52)
| ~ p116(X52) )
| ~ p17(X2) ) )
| ~ p116(X2)
| ~ sP36(X2) ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f49,definition,
! [X2] :
( ( ( ! [X49] :
( ~ r1(X2,X49)
| ~ p18(X49)
| ~ p117(X49) )
| p18(X2) )
& ( ! [X50] :
( ~ r1(X2,X50)
| p18(X50)
| ~ p117(X50) )
| ~ p18(X2) ) )
| ~ p117(X2)
| ~ sP37(X2) ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f50,definition,
! [X2] :
( ( ( ! [X47] :
( ~ r1(X2,X47)
| ~ p19(X47)
| ~ p118(X47) )
| p19(X2) )
& ( ! [X48] :
( ~ r1(X2,X48)
| p19(X48)
| ~ p118(X48) )
| ~ p19(X2) ) )
| ~ p118(X2)
| ~ sP38(X2) ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f51,definition,
! [X2] :
( ( ( ! [X45] :
( ~ r1(X2,X45)
| ~ p20(X45)
| ~ p119(X45) )
| p20(X2) )
& ( ! [X46] :
( ~ r1(X2,X46)
| p20(X46)
| ~ p119(X46) )
| ~ p20(X2) ) )
| ~ p119(X2)
| ~ sP39(X2) ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f52,definition,
! [X2] :
( ( ( ! [X43] :
( ~ r1(X2,X43)
| ~ p21(X43)
| ~ p120(X43) )
| p21(X2) )
& ( ! [X44] :
( ~ r1(X2,X44)
| p21(X44)
| ~ p120(X44) )
| ~ p21(X2) ) )
| ~ p120(X2)
| ~ sP40(X2) ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f53,definition,
! [X2] :
( ( sP19(X2)
& sP18(X2)
& sP17(X2)
& sP16(X2)
& sP15(X2)
& sP14(X2)
& sP13(X2)
& sP12(X2)
& sP11(X2)
& sP10(X2)
& sP9(X2)
& sP8(X2)
& sP7(X2)
& sP6(X2)
& sP5(X2)
& sP4(X2)
& sP3(X2)
& sP2(X2)
& sP1(X2)
& sP0(X2)
& sP40(X2)
& sP39(X2)
& sP38(X2)
& sP37(X2)
& sP36(X2)
& sP35(X2)
& sP34(X2)
& sP33(X2)
& sP32(X2)
& sP31(X2)
& sP30(X2)
& sP29(X2)
& sP28(X2)
& sP27(X2)
& sP26(X2)
& sP25(X2)
& sP24(X2)
& sP23(X2)
& sP22(X2)
& sP21(X2)
& sP20(X2)
& ( p119(X2)
| ~ p120(X2) )
& ( p118(X2)
| ~ p119(X2) )
& ( p117(X2)
| ~ p118(X2) )
& ( p116(X2)
| ~ p117(X2) )
& ( p115(X2)
| ~ p116(X2) )
& ( p114(X2)
| ~ p115(X2) )
& ( p113(X2)
| ~ p114(X2) )
& ( p112(X2)
| ~ p113(X2) )
& ( p111(X2)
| ~ p112(X2) )
& ( p110(X2)
| ~ p111(X2) )
& ( p109(X2)
| ~ p110(X2) )
& ( p108(X2)
| ~ p109(X2) )
& ( p107(X2)
| ~ p108(X2) )
& ( p106(X2)
| ~ p107(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) )
| ~ sP41(X2) ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f54,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p8(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| sP41(X2) )
& ~ p101(X0)
& p100(X0) ),
inference(definition_folding,[],[f11,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12]) ).
fof(f55,plain,
! [X2] :
( ( sP19(X2)
& sP18(X2)
& sP17(X2)
& sP16(X2)
& sP15(X2)
& sP14(X2)
& sP13(X2)
& sP12(X2)
& sP11(X2)
& sP10(X2)
& sP9(X2)
& sP8(X2)
& sP7(X2)
& sP6(X2)
& sP5(X2)
& sP4(X2)
& sP3(X2)
& sP2(X2)
& sP1(X2)
& sP0(X2)
& sP40(X2)
& sP39(X2)
& sP38(X2)
& sP37(X2)
& sP36(X2)
& sP35(X2)
& sP34(X2)
& sP33(X2)
& sP32(X2)
& sP31(X2)
& sP30(X2)
& sP29(X2)
& sP28(X2)
& sP27(X2)
& sP26(X2)
& sP25(X2)
& sP24(X2)
& sP23(X2)
& sP22(X2)
& sP21(X2)
& sP20(X2)
& ( p119(X2)
| ~ p120(X2) )
& ( p118(X2)
| ~ p119(X2) )
& ( p117(X2)
| ~ p118(X2) )
& ( p116(X2)
| ~ p117(X2) )
& ( p115(X2)
| ~ p116(X2) )
& ( p114(X2)
| ~ p115(X2) )
& ( p113(X2)
| ~ p114(X2) )
& ( p112(X2)
| ~ p113(X2) )
& ( p111(X2)
| ~ p112(X2) )
& ( p110(X2)
| ~ p111(X2) )
& ( p109(X2)
| ~ p110(X2) )
& ( p108(X2)
| ~ p109(X2) )
& ( p107(X2)
| ~ p108(X2) )
& ( p106(X2)
| ~ p107(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) )
| ~ sP41(X2) ),
inference(nnf_transformation,[],[f53]) ).
fof(f56,plain,
! [X0] :
( ( sP19(X0)
& sP18(X0)
& sP17(X0)
& sP16(X0)
& sP15(X0)
& sP14(X0)
& sP13(X0)
& sP12(X0)
& sP11(X0)
& sP10(X0)
& sP9(X0)
& sP8(X0)
& sP7(X0)
& sP6(X0)
& sP5(X0)
& sP4(X0)
& sP3(X0)
& sP2(X0)
& sP1(X0)
& sP0(X0)
& sP40(X0)
& sP39(X0)
& sP38(X0)
& sP37(X0)
& sP36(X0)
& sP35(X0)
& sP34(X0)
& sP33(X0)
& sP32(X0)
& sP31(X0)
& sP30(X0)
& sP29(X0)
& sP28(X0)
& sP27(X0)
& sP26(X0)
& sP25(X0)
& sP24(X0)
& sP23(X0)
& sP22(X0)
& sP21(X0)
& sP20(X0)
& ( p119(X0)
| ~ p120(X0) )
& ( p118(X0)
| ~ p119(X0) )
& ( p117(X0)
| ~ p118(X0) )
& ( p116(X0)
| ~ p117(X0) )
& ( p115(X0)
| ~ p116(X0) )
& ( p114(X0)
| ~ p115(X0) )
& ( p113(X0)
| ~ p114(X0) )
& ( p112(X0)
| ~ p113(X0) )
& ( p111(X0)
| ~ p112(X0) )
& ( p110(X0)
| ~ p111(X0) )
& ( p109(X0)
| ~ p110(X0) )
& ( p108(X0)
| ~ p109(X0) )
& ( p107(X0)
| ~ p108(X0) )
& ( p106(X0)
| ~ p107(X0) )
& ( p105(X0)
| ~ p106(X0) )
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) ) )
| ~ sP41(X0) ),
inference(rectify,[],[f55]) ).
fof(f138,plain,
! [X2] :
( ( ? [X29] :
( r1(X2,X29)
& ~ p8(X29)
& ~ p108(X29)
& p107(X29) )
& ? [X30] :
( r1(X2,X30)
& p8(X30)
& ~ p108(X30)
& p107(X30) ) )
| p107(X2)
| ~ p106(X2)
| ~ sP6(X2) ),
inference(nnf_transformation,[],[f18]) ).
fof(f139,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p8(X1)
& ~ p108(X1)
& p107(X1) )
& ? [X2] :
( r1(X0,X2)
& p8(X2)
& ~ p108(X2)
& p107(X2) ) )
| p107(X0)
| ~ p106(X0)
| ~ sP6(X0) ),
inference(rectify,[],[f138]) ).
fof(f140,plain,
! [X0] :
( ( r1(X0,sK68(X0))
& ~ p8(sK68(X0))
& ~ p108(sK68(X0))
& p107(sK68(X0))
& r1(X0,sK69(X0))
& p8(sK69(X0))
& ~ p108(sK69(X0))
& p107(sK69(X0)) )
| p107(X0)
| ~ p106(X0)
| ~ sP6(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68,sK69]),skolemize(X1,sK68(X0)),skolemize(X2,sK69(X0))],[f139]) ).
fof(f141,plain,
! [X2] :
( ( ? [X31] :
( r1(X2,X31)
& ~ p7(X31)
& ~ p107(X31)
& p106(X31) )
& ? [X32] :
( r1(X2,X32)
& p7(X32)
& ~ p107(X32)
& p106(X32) ) )
| p106(X2)
| ~ p105(X2)
| ~ sP5(X2) ),
inference(nnf_transformation,[],[f17]) ).
fof(f142,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p7(X1)
& ~ p107(X1)
& p106(X1) )
& ? [X2] :
( r1(X0,X2)
& p7(X2)
& ~ p107(X2)
& p106(X2) ) )
| p106(X0)
| ~ p105(X0)
| ~ sP5(X0) ),
inference(rectify,[],[f141]) ).
fof(f143,plain,
! [X0] :
( ( r1(X0,sK70(X0))
& ~ p7(sK70(X0))
& ~ p107(sK70(X0))
& p106(sK70(X0))
& r1(X0,sK71(X0))
& p7(sK71(X0))
& ~ p107(sK71(X0))
& p106(sK71(X0)) )
| p106(X0)
| ~ p105(X0)
| ~ sP5(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70,sK71]),skolemize(X1,sK70(X0)),skolemize(X2,sK71(X0))],[f142]) ).
fof(f144,plain,
! [X2] :
( ( ? [X33] :
( r1(X2,X33)
& ~ p6(X33)
& ~ p106(X33)
& p105(X33) )
& ? [X34] :
( r1(X2,X34)
& p6(X34)
& ~ p106(X34)
& p105(X34) ) )
| p105(X2)
| ~ p104(X2)
| ~ sP4(X2) ),
inference(nnf_transformation,[],[f16]) ).
fof(f145,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p6(X1)
& ~ p106(X1)
& p105(X1) )
& ? [X2] :
( r1(X0,X2)
& p6(X2)
& ~ p106(X2)
& p105(X2) ) )
| p105(X0)
| ~ p104(X0)
| ~ sP4(X0) ),
inference(rectify,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ( r1(X0,sK72(X0))
& ~ p6(sK72(X0))
& ~ p106(sK72(X0))
& p105(sK72(X0))
& r1(X0,sK73(X0))
& p6(sK73(X0))
& ~ p106(sK73(X0))
& p105(sK73(X0)) )
| p105(X0)
| ~ p104(X0)
| ~ sP4(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK72,sK73]),skolemize(X1,sK72(X0)),skolemize(X2,sK73(X0))],[f145]) ).
fof(f147,plain,
! [X2] :
( ( ? [X35] :
( r1(X2,X35)
& ~ p5(X35)
& ~ p105(X35)
& p104(X35) )
& ? [X36] :
( r1(X2,X36)
& p5(X36)
& ~ p105(X36)
& p104(X36) ) )
| p104(X2)
| ~ p103(X2)
| ~ sP3(X2) ),
inference(nnf_transformation,[],[f15]) ).
fof(f148,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p5(X1)
& ~ p105(X1)
& p104(X1) )
& ? [X2] :
( r1(X0,X2)
& p5(X2)
& ~ p105(X2)
& p104(X2) ) )
| p104(X0)
| ~ p103(X0)
| ~ sP3(X0) ),
inference(rectify,[],[f147]) ).
fof(f149,plain,
! [X0] :
( ( r1(X0,sK74(X0))
& ~ p5(sK74(X0))
& ~ p105(sK74(X0))
& p104(sK74(X0))
& r1(X0,sK75(X0))
& p5(sK75(X0))
& ~ p105(sK75(X0))
& p104(sK75(X0)) )
| p104(X0)
| ~ p103(X0)
| ~ sP3(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK74,sK75]),skolemize(X1,sK74(X0)),skolemize(X2,sK75(X0))],[f148]) ).
fof(f150,plain,
! [X2] :
( ( ? [X37] :
( r1(X2,X37)
& ~ p4(X37)
& ~ p104(X37)
& p103(X37) )
& ? [X38] :
( r1(X2,X38)
& p4(X38)
& ~ p104(X38)
& p103(X38) ) )
| p103(X2)
| ~ p102(X2)
| ~ sP2(X2) ),
inference(nnf_transformation,[],[f14]) ).
fof(f151,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p4(X1)
& ~ p104(X1)
& p103(X1) )
& ? [X2] :
( r1(X0,X2)
& p4(X2)
& ~ p104(X2)
& p103(X2) ) )
| p103(X0)
| ~ p102(X0)
| ~ sP2(X0) ),
inference(rectify,[],[f150]) ).
fof(f152,plain,
! [X0] :
( ( r1(X0,sK76(X0))
& ~ p4(sK76(X0))
& ~ p104(sK76(X0))
& p103(sK76(X0))
& r1(X0,sK77(X0))
& p4(sK77(X0))
& ~ p104(sK77(X0))
& p103(sK77(X0)) )
| p103(X0)
| ~ p102(X0)
| ~ sP2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK76,sK77]),skolemize(X1,sK76(X0)),skolemize(X2,sK77(X0))],[f151]) ).
fof(f153,plain,
! [X2] :
( ( ? [X39] :
( r1(X2,X39)
& ~ p3(X39)
& ~ p103(X39)
& p102(X39) )
& ? [X40] :
( r1(X2,X40)
& p3(X40)
& ~ p103(X40)
& p102(X40) ) )
| p102(X2)
| ~ p101(X2)
| ~ sP1(X2) ),
inference(nnf_transformation,[],[f13]) ).
fof(f154,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p3(X1)
& ~ p103(X1)
& p102(X1) )
& ? [X2] :
( r1(X0,X2)
& p3(X2)
& ~ p103(X2)
& p102(X2) ) )
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(rectify,[],[f153]) ).
fof(f155,plain,
! [X0] :
( ( r1(X0,sK78(X0))
& ~ p3(sK78(X0))
& ~ p103(sK78(X0))
& p102(sK78(X0))
& r1(X0,sK79(X0))
& p3(sK79(X0))
& ~ p103(sK79(X0))
& p102(sK79(X0)) )
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK78,sK79]),skolemize(X1,sK78(X0)),skolemize(X2,sK79(X0))],[f154]) ).
fof(f156,plain,
! [X2] :
( ( ? [X41] :
( r1(X2,X41)
& ~ p2(X41)
& ~ p102(X41)
& p101(X41) )
& ? [X42] :
( r1(X2,X42)
& p2(X42)
& ~ p102(X42)
& p101(X42) ) )
| p101(X2)
| ~ p100(X2)
| ~ sP0(X2) ),
inference(nnf_transformation,[],[f12]) ).
fof(f157,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p2(X1)
& ~ p102(X1)
& p101(X1) )
& ? [X2] :
( r1(X0,X2)
& p2(X2)
& ~ p102(X2)
& p101(X2) ) )
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(rectify,[],[f156]) ).
fof(f158,plain,
! [X0] :
( ( r1(X0,sK80(X0))
& ~ p2(sK80(X0))
& ~ p102(sK80(X0))
& p101(sK80(X0))
& r1(X0,sK81(X0))
& p2(sK81(X0))
& ~ p102(sK81(X0))
& p101(sK81(X0)) )
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80,sK81]),skolemize(X1,sK80(X0)),skolemize(X2,sK81(X0))],[f157]) ).
fof(f159,plain,
( ! [X1] :
( ~ r1(sK82,X1)
| p8(X1) )
& ! [X2] :
( ~ r1(sK82,X2)
| sP41(X2) )
& ~ p101(sK82)
& p100(sK82) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82]),skolemize(X0,sK82)],[f54]) ).
fof(f160,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X0,X2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f203,plain,
! [X0] :
( sP0(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f204,plain,
! [X0] :
( sP1(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f205,plain,
! [X0] :
( sP2(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f206,plain,
! [X0] :
( sP3(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f207,plain,
! [X0] :
( sP4(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f208,plain,
! [X0] :
( sP5(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f209,plain,
! [X0] :
( sP6(X0)
| ~ sP41(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f373,plain,
! [X0] :
( ~ p8(sK68(X0))
| p107(X0)
| ~ p106(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f374,plain,
! [X0] :
( r1(X0,sK68(X0))
| p107(X0)
| ~ p106(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f375,plain,
! [X0] :
( p106(sK71(X0))
| p106(X0)
| ~ p105(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f376,plain,
! [X0] :
( ~ p107(sK71(X0))
| p106(X0)
| ~ p105(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f378,plain,
! [X0] :
( r1(X0,sK71(X0))
| p106(X0)
| ~ p105(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f383,plain,
! [X0] :
( p105(sK73(X0))
| p105(X0)
| ~ p104(X0)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f384,plain,
! [X0] :
( ~ p106(sK73(X0))
| p105(X0)
| ~ p104(X0)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f386,plain,
! [X0] :
( r1(X0,sK73(X0))
| p105(X0)
| ~ p104(X0)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f391,plain,
! [X0] :
( p104(sK75(X0))
| p104(X0)
| ~ p103(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f392,plain,
! [X0] :
( ~ p105(sK75(X0))
| p104(X0)
| ~ p103(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f394,plain,
! [X0] :
( r1(X0,sK75(X0))
| p104(X0)
| ~ p103(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f399,plain,
! [X0] :
( p103(sK77(X0))
| p103(X0)
| ~ p102(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f400,plain,
! [X0] :
( ~ p104(sK77(X0))
| p103(X0)
| ~ p102(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f402,plain,
! [X0] :
( r1(X0,sK77(X0))
| p103(X0)
| ~ p102(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f407,plain,
! [X0] :
( p102(sK79(X0))
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f408,plain,
! [X0] :
( ~ p103(sK79(X0))
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f410,plain,
! [X0] :
( r1(X0,sK79(X0))
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f415,plain,
! [X0] :
( p101(sK81(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f416,plain,
! [X0] :
( ~ p102(sK81(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f418,plain,
! [X0] :
( r1(X0,sK81(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f423,plain,
p100(sK82),
inference(cnf_transformation,[],[f159]) ).
fof(f424,plain,
~ p101(sK82),
inference(cnf_transformation,[],[f159]) ).
fof(f425,plain,
! [X2] :
( ~ r1(sK82,X2)
| sP41(X2) ),
inference(cnf_transformation,[],[f159]) ).
fof(f426,plain,
! [X1] :
( ~ r1(sK82,X1)
| p8(X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f428,plain,
sP41(sK82),
inference(resolution,[],[f160,f425]) ).
fof(f618,plain,
! [X0,X1] :
( r1(X1,sK68(X0))
| ~ p106(X0)
| ~ sP6(X0)
| ~ r1(X1,X0)
| p107(X0) ),
inference(resolution,[],[f374,f161]) ).
fof(f622,plain,
! [X0,X1] :
( r1(X1,sK71(X0))
| ~ p105(X0)
| ~ sP5(X0)
| ~ r1(X1,X0)
| p106(X0) ),
inference(resolution,[],[f378,f161]) ).
fof(f628,plain,
! [X0,X1] :
( r1(X1,sK73(X0))
| ~ p104(X0)
| ~ sP4(X0)
| ~ r1(X1,X0)
| p105(X0) ),
inference(resolution,[],[f386,f161]) ).
fof(f634,plain,
! [X0,X1] :
( r1(X1,sK75(X0))
| ~ p103(X0)
| ~ sP3(X0)
| ~ r1(X1,X0)
| p104(X0) ),
inference(resolution,[],[f394,f161]) ).
fof(f640,plain,
! [X0,X1] :
( r1(X1,sK77(X0))
| ~ p102(X0)
| ~ sP2(X0)
| ~ r1(X1,X0)
| p103(X0) ),
inference(resolution,[],[f402,f161]) ).
fof(f646,plain,
! [X0,X1] :
( r1(X1,sK79(X0))
| ~ p101(X0)
| ~ sP1(X0)
| ~ r1(X1,X0)
| p102(X0) ),
inference(resolution,[],[f410,f161]) ).
fof(f651,plain,
( p101(sK82)
| ~ p100(sK82)
| ~ sP0(sK82)
| sP41(sK81(sK82)) ),
inference(resolution,[],[f418,f425]) ).
fof(f653,plain,
( ~ p100(sK82)
| ~ sP0(sK82)
| sP41(sK81(sK82)) ),
inference(forward_subsumption_resolution,[],[f651,f424]) ).
fof(f655,plain,
( ~ sP0(sK82)
| sP41(sK81(sK82)) ),
inference(forward_subsumption_resolution,[],[f653,f423]) ).
fof(f658,definition,
( spl83_8
<=> sP41(sK81(sK82)) ),
introduced(definition,[new_symbols(definition,[spl83_8])],[avatar_definition]) ).
fof(f660,plain,
( sP41(sK81(sK82))
| ~ spl83_8 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f662,definition,
( spl83_9
<=> sP0(sK82) ),
introduced(definition,[new_symbols(definition,[spl83_9])],[avatar_definition]) ).
fof(f663,plain,
( sP0(sK82)
| ~ spl83_9 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f664,plain,
( ~ sP0(sK82)
| spl83_9 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f665,plain,
( spl83_8
| ~ spl83_9 ),
inference(avatar_split_clause,[],[f655,f662,f658]) ).
fof(f688,plain,
( ~ sP41(sK82)
| spl83_9 ),
inference(resolution,[],[f664,f203]) ).
fof(f689,plain,
( $false
| spl83_9 ),
inference(forward_subsumption_resolution,[],[f688,f428]) ).
fof(f690,plain,
spl83_9,
inference(avatar_contradiction_clause,[],[f689]) ).
fof(f3872,plain,
! [X0] :
( ~ p106(X0)
| ~ sP6(X0)
| ~ r1(sK82,X0)
| p107(X0)
| p8(sK68(X0)) ),
inference(resolution,[],[f618,f426]) ).
fof(f3918,plain,
! [X0] :
( ~ r1(sK82,X0)
| ~ sP6(X0)
| ~ p106(X0)
| p107(X0) ),
inference(forward_subsumption_resolution,[],[f3872,f373]) ).
fof(f4025,plain,
! [X0] :
( ~ p105(X0)
| ~ sP5(X0)
| ~ r1(sK82,X0)
| p106(X0)
| ~ sP6(sK71(X0))
| ~ p106(sK71(X0))
| p107(sK71(X0)) ),
inference(resolution,[],[f622,f3918]) ).
fof(f4027,plain,
! [X0] :
( sP41(sK71(X0))
| ~ sP5(X0)
| ~ r1(sK82,X0)
| p106(X0)
| ~ p105(X0) ),
inference(resolution,[],[f622,f425]) ).
fof(f4072,plain,
! [X0] :
( ~ p105(X0)
| ~ sP5(X0)
| ~ r1(sK82,X0)
| p106(X0)
| ~ sP6(sK71(X0))
| p107(sK71(X0)) ),
inference(forward_subsumption_resolution,[],[f4025,f375]) ).
fof(f4074,plain,
! [X0] :
( ~ sP6(sK71(X0))
| ~ sP5(X0)
| ~ r1(sK82,X0)
| p106(X0)
| ~ p105(X0) ),
inference(forward_subsumption_resolution,[],[f4072,f376]) ).
fof(f4130,plain,
! [X0] :
( sP41(sK73(X0))
| ~ sP4(X0)
| ~ r1(sK82,X0)
| p105(X0)
| ~ p104(X0) ),
inference(resolution,[],[f628,f425]) ).
fof(f4229,plain,
! [X0] :
( sP41(sK75(X0))
| ~ sP3(X0)
| ~ r1(sK82,X0)
| p104(X0)
| ~ p103(X0) ),
inference(resolution,[],[f634,f425]) ).
fof(f4328,plain,
! [X0] :
( sP41(sK77(X0))
| ~ sP2(X0)
| ~ r1(sK82,X0)
| p103(X0)
| ~ p102(X0) ),
inference(resolution,[],[f640,f425]) ).
fof(f4427,plain,
! [X0] :
( sP41(sK79(X0))
| ~ sP1(X0)
| ~ r1(sK82,X0)
| p102(X0)
| ~ p101(X0) ),
inference(resolution,[],[f646,f425]) ).
fof(f4729,plain,
! [X0] :
( ~ sP5(X0)
| ~ r1(sK82,X0)
| p106(X0)
| ~ p105(X0)
| ~ sP41(sK71(X0)) ),
inference(resolution,[],[f4074,f209]) ).
fof(f4730,plain,
! [X0] :
( ~ r1(sK82,X0)
| ~ sP5(X0)
| p106(X0)
| ~ p105(X0) ),
inference(forward_subsumption_resolution,[],[f4729,f4027]) ).
fof(f4797,plain,
! [X0] :
( ~ sP5(sK73(X0))
| p106(sK73(X0))
| ~ p105(sK73(X0))
| ~ p104(X0)
| ~ sP4(X0)
| ~ r1(sK82,X0)
| p105(X0) ),
inference(resolution,[],[f4730,f628]) ).
fof(f4816,plain,
! [X0] :
( ~ sP5(sK73(X0))
| ~ p105(sK73(X0))
| ~ p104(X0)
| ~ sP4(X0)
| ~ r1(sK82,X0)
| p105(X0) ),
inference(forward_subsumption_resolution,[],[f4797,f384]) ).
fof(f4822,plain,
! [X0] :
( ~ sP5(sK73(X0))
| ~ p104(X0)
| ~ sP4(X0)
| ~ r1(sK82,X0)
| p105(X0) ),
inference(forward_subsumption_resolution,[],[f4816,f383]) ).
fof(f4864,plain,
! [X0] :
( ~ p104(X0)
| ~ sP4(X0)
| ~ r1(sK82,X0)
| p105(X0)
| ~ sP41(sK73(X0)) ),
inference(resolution,[],[f4822,f208]) ).
fof(f4865,plain,
! [X0] :
( ~ r1(sK82,X0)
| ~ sP4(X0)
| ~ p104(X0)
| p105(X0) ),
inference(forward_subsumption_resolution,[],[f4864,f4130]) ).
fof(f4936,plain,
! [X0] :
( ~ sP4(sK75(X0))
| ~ p104(sK75(X0))
| p105(sK75(X0))
| ~ p103(X0)
| ~ sP3(X0)
| ~ r1(sK82,X0)
| p104(X0) ),
inference(resolution,[],[f4865,f634]) ).
fof(f4951,plain,
! [X0] :
( ~ sP4(sK75(X0))
| p105(sK75(X0))
| ~ p103(X0)
| ~ sP3(X0)
| ~ r1(sK82,X0)
| p104(X0) ),
inference(forward_subsumption_resolution,[],[f4936,f391]) ).
fof(f4957,plain,
! [X0] :
( ~ sP4(sK75(X0))
| ~ p103(X0)
| ~ sP3(X0)
| ~ r1(sK82,X0)
| p104(X0) ),
inference(forward_subsumption_resolution,[],[f4951,f392]) ).
fof(f4991,plain,
! [X0] :
( ~ p103(X0)
| ~ sP3(X0)
| ~ r1(sK82,X0)
| p104(X0)
| ~ sP41(sK75(X0)) ),
inference(resolution,[],[f4957,f207]) ).
fof(f4992,plain,
! [X0] :
( ~ r1(sK82,X0)
| ~ sP3(X0)
| ~ p103(X0)
| p104(X0) ),
inference(forward_subsumption_resolution,[],[f4991,f4229]) ).
fof(f5065,plain,
! [X0] :
( ~ sP3(sK77(X0))
| ~ p103(sK77(X0))
| p104(sK77(X0))
| ~ p102(X0)
| ~ sP2(X0)
| ~ r1(sK82,X0)
| p103(X0) ),
inference(resolution,[],[f4992,f640]) ).
fof(f5076,plain,
! [X0] :
( ~ sP3(sK77(X0))
| p104(sK77(X0))
| ~ p102(X0)
| ~ sP2(X0)
| ~ r1(sK82,X0)
| p103(X0) ),
inference(forward_subsumption_resolution,[],[f5065,f399]) ).
fof(f5082,plain,
! [X0] :
( ~ sP3(sK77(X0))
| ~ p102(X0)
| ~ sP2(X0)
| ~ r1(sK82,X0)
| p103(X0) ),
inference(forward_subsumption_resolution,[],[f5076,f400]) ).
fof(f5116,plain,
! [X0] :
( ~ p102(X0)
| ~ sP2(X0)
| ~ r1(sK82,X0)
| p103(X0)
| ~ sP41(sK77(X0)) ),
inference(resolution,[],[f5082,f206]) ).
fof(f5117,plain,
! [X0] :
( ~ r1(sK82,X0)
| ~ sP2(X0)
| ~ p102(X0)
| p103(X0) ),
inference(forward_subsumption_resolution,[],[f5116,f4328]) ).
fof(f5194,plain,
! [X0] :
( ~ sP2(sK79(X0))
| ~ p102(sK79(X0))
| p103(sK79(X0))
| ~ p101(X0)
| ~ sP1(X0)
| ~ r1(sK82,X0)
| p102(X0) ),
inference(resolution,[],[f5117,f646]) ).
fof(f5199,plain,
! [X0] :
( ~ sP2(sK79(X0))
| p103(sK79(X0))
| ~ p101(X0)
| ~ sP1(X0)
| ~ r1(sK82,X0)
| p102(X0) ),
inference(forward_subsumption_resolution,[],[f5194,f407]) ).
fof(f5201,plain,
! [X0] :
( ~ sP2(sK79(X0))
| ~ p101(X0)
| ~ sP1(X0)
| ~ r1(sK82,X0)
| p102(X0) ),
inference(forward_subsumption_resolution,[],[f5199,f408]) ).
fof(f5203,plain,
! [X0] :
( ~ p101(X0)
| ~ sP1(X0)
| ~ r1(sK82,X0)
| p102(X0)
| ~ sP41(sK79(X0)) ),
inference(resolution,[],[f5201,f205]) ).
fof(f5204,plain,
! [X0] :
( ~ r1(sK82,X0)
| ~ sP1(X0)
| ~ p101(X0)
| p102(X0) ),
inference(forward_subsumption_resolution,[],[f5203,f4427]) ).
fof(f5284,plain,
( ~ sP1(sK81(sK82))
| ~ p101(sK81(sK82))
| p102(sK81(sK82))
| p101(sK82)
| ~ p100(sK82)
| ~ sP0(sK82) ),
inference(resolution,[],[f5204,f418]) ).
fof(f5287,plain,
( ~ sP1(sK81(sK82))
| p102(sK81(sK82))
| p101(sK82)
| ~ p100(sK82)
| ~ sP0(sK82) ),
inference(forward_subsumption_resolution,[],[f5284,f415]) ).
fof(f5291,plain,
( ~ sP1(sK81(sK82))
| p101(sK82)
| ~ p100(sK82)
| ~ sP0(sK82) ),
inference(forward_subsumption_resolution,[],[f5287,f416]) ).
fof(f5294,plain,
( ~ sP1(sK81(sK82))
| ~ p100(sK82)
| ~ sP0(sK82) ),
inference(forward_subsumption_resolution,[],[f5291,f424]) ).
fof(f5296,plain,
( ~ sP1(sK81(sK82))
| ~ sP0(sK82) ),
inference(forward_subsumption_resolution,[],[f5294,f423]) ).
fof(f5298,plain,
( ~ sP1(sK81(sK82))
| ~ spl83_9 ),
inference(forward_subsumption_resolution,[],[f5296,f663]) ).
fof(f5300,plain,
( ~ sP41(sK81(sK82))
| ~ spl83_9 ),
inference(resolution,[],[f5298,f204]) ).
fof(f5301,plain,
( $false
| ~ spl83_8
| ~ spl83_9 ),
inference(forward_subsumption_resolution,[],[f5300,f660]) ).
fof(f5302,plain,
( ~ spl83_8
| ~ spl83_9 ),
inference(avatar_contradiction_clause,[],[f5301]) ).
cnf(s6,plain,
( spl83_8
| ~ spl83_9 ),
inference(sat_conversion,[],[f665]) ).
cnf(s10,plain,
spl83_9,
inference(sat_conversion,[],[f690]) ).
cnf(s27,plain,
( ~ spl83_8
| ~ spl83_9 ),
inference(sat_conversion,[],[f5302]) ).
cnf(s28,plain,
~ spl83_8,
inference(rat,[],[s27,s10]) ).
cnf(s36,plain,
$false,
inference(rat,[],[s6,s10,s28]) ).
fof(f5303,plain,
$false,
inference(avatar_sat_refutation,[],[s36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL674+1.020 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n009.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 16:31:30 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.86/2.52 % (2231360)Will run a generic schedule for satisfiability detection.
% 13.86/2.52 % (2231369)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1761302989:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.86/2.52 % (2231366)% WARNING: option uhcvi not known.
% 13.86/2.52 % (2231367)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2109666839:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.86/2.52 % (2231365)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2952685033_2999 on theBenchmark for (2999ds/0Mi)
% 13.86/2.52 % (2231366)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2744598545:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.86/2.52 % (2231368)dis+10_1_sil=32000:sp=arity:random_seed=3625107551:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.86/2.52 % (2231370)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2369354611:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.86/2.52 % (2231371)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=683676173:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.86/2.52 % TRYING [1]
% 13.86/2.52 % TRYING [2]
% 13.86/2.52 % TRYING [3]
% 13.86/2.52 % TRYING [4]
% 13.86/2.52 % TRYING [5]
% 13.86/2.52 % (2231369)Instruction limit reached!
% 13.86/2.52 % (2231369)------------------------------
% 13.86/2.52 % (2231369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.86/2.52 % (2231369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.86/2.52 % (2231369)CaDiCaL version: 2.1.3
% 13.86/2.52 % (2231369)Termination reason: Instruction limit
% 13.86/2.52 % (2231369)Termination phase: Saturation
% 13.86/2.52 % (2231369)Time elapsed: 0.034 s
% 13.86/2.52 % (2231369)Peak memory usage: 13 MB
% 13.86/2.52 % (2231369)Instructions burned: 116 (million)
% 13.86/2.52 % TRYING [6]
% 13.86/2.52 % (2231379)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1956918760:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.86/2.52 % (2231368)Instruction limit reached!
% 13.86/2.52 % (2231368)------------------------------
% 13.86/2.52 % (2231368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.86/2.52 % (2231368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.86/2.52 % (2231368)CaDiCaL version: 2.1.3
% 13.86/2.52 % (2231368)Termination reason: Instruction limit
% 13.86/2.52 % (2231368)Termination phase: Saturation
% 13.86/2.52 % (2231368)Time elapsed: 0.048 s
% 13.86/2.52 % (2231368)Peak memory usage: 12 MB
% 13.86/2.52 % (2231368)Instructions burned: 105 (million)
% 13.86/2.52 % TRYING [1]
% 13.86/2.52 % TRYING [2]
% 13.86/2.52 % TRYING [3]
% 13.86/2.52 % (2231371)Instruction limit reached!
% 13.86/2.52 % (2231371)------------------------------
% 13.86/2.52 % (2231371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.86/2.52 % (2231371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.86/2.52 % (2231371)CaDiCaL version: 2.1.3
% 13.86/2.52 % (2231371)Termination reason: Instruction limit
% 13.86/2.52 % (2231371)Termination phase: Saturation
% 13.86/2.52 % (2231371)Time elapsed: 0.058 s
% 13.86/2.52 % (2231371)Peak memory usage: 12 MB
% 13.86/2.52 % (2231371)Instructions burned: 159 (million)
% 13.86/2.52 % TRYING [4]
% 13.86/2.52 % TRYING [5]
% 13.86/2.52 % (2231381)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2176627845:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.86/2.52 % (2231370)Instruction limit reached!
% 13.86/2.52 % (2231370)------------------------------
% 13.86/2.52 % (2231370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.86/2.52 % (2231370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.86/2.52 % (2231370)CaDiCaL version: 2.1.3
% 13.86/2.52 % (2231370)Termination reason: Instruction limit
% 13.86/2.52 % (2231370)Termination phase: Saturation
% 13.86/2.52 % (2231370)Time elapsed: 0.071 s
% 13.86/2.52 % (2231370)Peak memory usage: 15 MB
% 13.86/2.52 % (2231370)Instructions burned: 131 (million)
% 13.86/2.52 % TRYING [6]
% 13.86/2.52 % (2231382)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2518953495:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.86/2.52 % (2231384)ott-21_1_sil=16000:fs=off:random_seed=4042826809:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.86/2.52 % TRYING [7]
% 13.86/2.52 % TRYING [7]
% 13.86/2.52 % (2231381)Instruction limit reached!
% 13.86/2.52 % (2231381)------------------------------
% 13.86/2.52 % (2231381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.77/7.06 % (2231381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.77/7.06 % (2231381)CaDiCaL version: 2.1.3
% 46.77/7.06 % (2231381)Termination reason: Instruction limit
% 46.77/7.06 % (2231381)Termination phase: Saturation
% 46.77/7.06 % (2231381)Time elapsed: 0.071 s
% 46.77/7.06 % (2231381)Peak memory usage: 14 MB
% 46.77/7.06 % (2231381)Instructions burned: 131 (million)
% 46.77/7.06 % (2231387)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=872289933:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 46.77/7.06 % (2231384)Instruction limit reached!
% 46.77/7.06 % (2231384)------------------------------
% 46.77/7.06 % (2231384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.77/7.06 % (2231384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.77/7.06 % (2231384)CaDiCaL version: 2.1.3
% 46.77/7.06 % (2231384)Termination reason: Instruction limit
% 46.77/7.06 % (2231384)Termination phase: Saturation
% 46.77/7.06 % (2231384)Time elapsed: 0.092 s
% 46.77/7.06 % (2231384)Peak memory usage: 14 MB
% 46.77/7.06 % (2231384)Instructions burned: 180 (million)
% 46.77/7.06 % TRYING [8]
% 46.77/7.06 % (2231389)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=292976325:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 46.77/7.06 % TRYING [1]
% 46.77/7.06 % TRYING [2]
% 46.77/7.06 % TRYING [3]
% 46.77/7.06 % TRYING [4]
% 46.77/7.06 % TRYING [8]
% 46.77/7.06 % TRYING [5]
% 46.77/7.06 % (2231379)Instruction limit reached!
% 46.77/7.06 % (2231379)------------------------------
% 46.77/7.06 % (2231379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.77/7.06 % (2231379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.77/7.06 % (2231379)CaDiCaL version: 2.1.3
% 46.77/7.06 % (2231379)Termination reason: Instruction limit
% 46.77/7.06 % (2231379)Termination phase: Finite model building SAT solving
% 46.77/7.06 % (2231379)Time elapsed: 0.198 s
% 46.77/7.06 % (2231379)Peak memory usage: 17 MB
% 46.77/7.06 % (2231379)Instructions burned: 717 (million)
% 46.77/7.06 % (2231391)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3566643359:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 46.77/7.06 % TRYING [6]
% 46.77/7.06 % TRYING [7]
% 46.77/7.06 % (2231382)Instruction limit reached!
% 46.77/7.06 % (2231382)------------------------------
% 46.77/7.06 % (2231382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.77/7.06 % (2231382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.77/7.06 % (2231382)CaDiCaL version: 2.1.3
% 46.77/7.06 % (2231382)Termination reason: Instruction limit
% 46.77/7.06 % (2231382)Termination phase: Saturation
% 46.77/7.06 % (2231382)Time elapsed: 0.317 s
% 46.77/7.06 % (2231382)Peak memory usage: 27 MB
% 46.77/7.06 % (2231382)Instructions burned: 685 (million)
% 46.77/7.06 % TRYING [8]
% 46.77/7.06 % (2231393)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1425504177:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 46.77/7.06 % (2231387)Instruction limit reached!
% 46.77/7.06 % (2231387)------------------------------
% 46.77/7.06 % (2231387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.77/7.06 % (2231387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.77/7.06 % (2231387)CaDiCaL version: 2.1.3
% 46.77/7.06 % (2231387)Termination reason: Instruction limit
% 46.77/7.06 % (2231387)Termination phase: Saturation
% 46.77/7.06 % (2231387)Time elapsed: 0.265 s
% 46.77/7.06 % (2231387)Peak memory usage: 17 MB
% 46.77/7.06 % (2231387)Instructions burned: 478 (million)
% 46.77/7.06 % TRYING [14]
% 46.77/7.06 % (2231395)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1447266312:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 46.77/7.06 % (2231389)Instruction limit reached!
% 46.77/7.06 % (2231389)------------------------------
% 46.77/7.06 % (2231389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.77/7.06 % (2231389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.77/7.06 % (2231389)CaDiCaL version: 2.1.3
% 46.77/7.06 % (2231389)Termination reason: Instruction limit
% 46.77/7.06 % (2231389)Termination phase: Finite model building SAT solving
% 46.77/7.06 % (2231389)Time elapsed: 0.351 s
% 46.77/7.06 % (2231389)Peak memory usage: 16 MB
% 46.77/7.06 % (2231389)Instructions burned: 866 (million)
% 46.77/7.06 % (2231391)Instruction limit reached!
% 46.77/7.06 % (2231391)------------------------------
% 46.77/7.06 % (2231391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.14 % (2231391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.14 % (2231391)CaDiCaL version: 2.1.3
% 25.37/7.14 % (2231391)Termination reason: Instruction limit
% 25.37/7.14 % (2231391)Termination phase: Saturation
% 25.37/7.14 % (2231391)Time elapsed: 0.305 s
% 25.37/7.14 % (2231391)Peak memory usage: 31 MB
% 25.37/7.14 % (2231391)Instructions burned: 1181 (million)
% 25.37/7.14 % (2231397)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=85293970:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 25.37/7.14 % (2231398)fmb+10_1_sil=64000:random_seed=29066953:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 25.37/7.14 % TRYING [1]
% 25.37/7.14 % TRYING [2]
% 25.37/7.14 % TRYING [3]
% 25.37/7.14 % TRYING [4]
% 25.37/7.14 % TRYING [5]
% 25.37/7.14 % TRYING [6]
% 25.37/7.14 % TRYING [7]
% 25.37/7.14 % TRYING [8]
% 25.37/7.14 % (2231393)Instruction limit reached!
% 25.37/7.14 % (2231393)------------------------------
% 25.37/7.14 % (2231393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.14 % (2231393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.14 % (2231393)CaDiCaL version: 2.1.3
% 25.37/7.14 % (2231393)Termination reason: Instruction limit
% 25.37/7.14 % (2231393)Termination phase: Finite model building SAT solving
% 25.37/7.14 % (2231393)Time elapsed: 0.322 s
% 25.37/7.14 % (2231393)Peak memory usage: 30 MB
% 25.37/7.14 % (2231393)Instructions burned: 889 (million)
% 25.37/7.14 % (2231401)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3892367531:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 25.37/7.14 % TRYING [20]
% 25.37/7.14 % (2231395)Instruction limit reached!
% 25.37/7.14 % (2231395)------------------------------
% 25.37/7.14 % (2231395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.14 % (2231395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.14 % (2231395)CaDiCaL version: 2.1.3
% 25.37/7.14 % (2231395)Termination reason: Instruction limit
% 25.37/7.14 % (2231395)Termination phase: Saturation
% 25.37/7.14 % (2231395)Time elapsed: 0.342 s
% 25.37/7.14 % (2231395)Peak memory usage: 29 MB
% 25.37/7.14 % (2231395)Instructions burned: 693 (million)
% 25.37/7.14 % (2231403)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2166970804:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 25.37/7.14 % TRYING [8]
% 25.37/7.14 % TRYING [9]
% 25.37/7.14 % (2231397)Instruction limit reached!
% 25.37/7.14 % (2231397)------------------------------
% 25.37/7.14 % (2231397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.14 % (2231397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.14 % (2231397)CaDiCaL version: 2.1.3
% 25.37/7.14 % (2231397)Termination reason: Instruction limit
% 25.37/7.14 % (2231397)Termination phase: Saturation
% 25.37/7.14 % (2231397)Time elapsed: 0.348 s
% 25.37/7.14 % (2231397)Peak memory usage: 20 MB
% 25.37/7.14 % (2231397)Instructions burned: 882 (million)
% 25.37/7.14 % (2231405)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3953879501:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 25.37/7.14 % TRYING [9]
% 25.37/7.14 % (2231403)Instruction limit reached!
% 25.37/7.14 % (2231403)------------------------------
% 25.37/7.14 % (2231403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.14 % (2231403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.14 % (2231403)CaDiCaL version: 2.1.3
% 25.37/7.14 % (2231403)Termination reason: Instruction limit
% 25.37/7.14 % (2231403)Termination phase: Finite model building SAT solving
% 25.37/7.14 % (2231403)Time elapsed: 0.430 s
% 25.37/7.14 % (2231403)Peak memory usage: 19 MB
% 25.37/7.14 % (2231403)Instructions burned: 922 (million)
% 25.37/7.14 % (2231407)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1207271942:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 25.37/7.14 % (2231407)Instruction limit reached!
% 25.37/7.14 % (2231407)------------------------------
% 25.37/7.14 % (2231407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.14 % (2231407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.14 % (2231407)CaDiCaL version: 2.1.3
% 25.37/7.14 % (2231407)Termination reason: Instruction limit
% 25.37/7.14 % (2231407)Termination phase: Saturation
% 25.37/7.14 % (2231407)Time elapsed: 0.767 s
% 25.37/7.14 % (2231407)Peak memory usage: 26 MB
% 25.37/7.14 % (2231407)Instructions burned: 1472 (million)
% 25.37/7.14 % (2231409)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2413936173:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 25.37/7.14 % TRYING [77]
% 25.37/7.14 % TRYING [10]
% 25.37/7.14 % (2231405)Instruction limit reached!
% 25.37/7.14 % (2231405)------------------------------
% 25.37/7.14 % (2231405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.14 % (2231405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.14 % (2231405)CaDiCaL version: 2.1.3
% 25.37/7.14 % (2231405)Termination reason: Instruction limit
% 25.37/7.14 % (2231405)Termination phase: Saturation
% 25.37/7.14 % (2231405)Time elapsed: 2.471 s
% 25.37/7.14 % (2231405)Peak memory usage: 46 MB
% 25.37/7.14 % (2231405)Instructions burned: 5132 (million)
% 25.37/7.14 % (2231411)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1844004285:fmbsr=2.30978:i=2174_2965 on theBenchmark for (2965ds/2174Mi)
% 25.37/7.14 % TRYING [16]
% 25.37/7.14 % (2231411)Instruction limit reached!
% 25.37/7.14 % (2231411)------------------------------
% 25.37/7.14 % (2231411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.14 % (2231411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.14 % (2231411)CaDiCaL version: 2.1.3
% 25.37/7.14 % (2231411)Termination reason: Instruction limit
% 25.37/7.14 % (2231411)Termination phase: Finite model building SAT solving
% 25.37/7.14 % (2231411)Time elapsed: 1.095 s
% 25.37/7.14 % (2231411)Peak memory usage: 47 MB
% 25.37/7.14 % (2231411)Instructions burned: 2174 (million)
% 25.37/7.14 % (2231413)ott-2_1_sil=16000:newcnf=on:random_seed=1054732605:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2954 on theBenchmark for (2954ds/869Mi)
% 25.37/7.14 % (2231409)Instruction limit reached!
% 25.37/7.14 % (2231409)------------------------------
% 25.37/7.14 % (2231409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.14 % (2231409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.14 % (2231409)CaDiCaL version: 2.1.3
% 25.37/7.14 % (2231409)Termination reason: Instruction limit
% 25.37/7.14 % (2231409)Termination phase: Finite model building constraint generation
% 25.37/7.14 % (2231409)Time elapsed: 2.713 s
% 25.37/7.14 % (2231409)Peak memory usage: 619 MB
% 25.37/7.14 % (2231409)Instructions burned: 6326 (million)
% 25.37/7.14 % (2231415)ott+10_1_sil=32000:tgt=ground:random_seed=1385674988:i=5114:av=off_2951 on theBenchmark for (2951ds/5114Mi)
% 25.37/7.14 % (2231413)Instruction limit reached!
% 25.37/7.14 % (2231413)------------------------------
% 25.37/7.14 % (2231413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.14 % (2231413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.14 % (2231413)CaDiCaL version: 2.1.3
% 25.37/7.14 % (2231413)Termination reason: Instruction limit
% 25.37/7.14 % (2231413)Termination phase: Saturation
% 25.37/7.14 % (2231413)Time elapsed: 0.404 s
% 25.37/7.14 % (2231413)Peak memory usage: 24 MB
% 25.37/7.14 % (2231413)Instructions burned: 870 (million)
% 25.37/7.14 % (2231401)Instruction limit reached!
% 25.37/7.14 % (2231401)------------------------------
% 25.37/7.14 % (2231401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.14 % (2231401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.14 % (2231401)CaDiCaL version: 2.1.3
% 25.37/7.14 % (2231401)Termination reason: Instruction limit
% 25.37/7.14 % (2231401)Termination phase: Finite model building SAT solving
% 25.37/7.14 % (2231401)Time elapsed: 4.216 s
% 25.37/7.14 % (2231401)Peak memory usage: 96 MB
% 25.37/7.14 % (2231401)Instructions burned: 9516 (million)
% 25.37/7.14 % (2231417)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=274467623:i=54282_2949 on theBenchmark for (2949ds/54282Mi)
% 25.37/7.14 % TRYING [1]
% 25.37/7.14 % TRYING [2]
% 25.37/7.14 % TRYING [3]
% 25.37/7.14 % TRYING [4]
% 25.37/7.14 % (2231419)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1081970893:i=3512:aac=none_2949 on theBenchmark for (2949ds/3512Mi)
% 25.37/7.14 % TRYING [5]
% 25.37/7.14 % TRYING [6]
% 25.37/7.14 % TRYING [7]
% 25.37/7.14 % TRYING [8]
% 25.37/7.14 % TRYING [10]
% 25.37/7.14 % TRYING [9]
% 25.37/7.14 % (2231398)Instruction limit reached!
% 25.37/7.14 % (2231398)------------------------------
% 25.37/7.14 % (2231398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.14 % (2231398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.14 % (2231398)CaDiCaL version: 2.1.3
% 25.37/7.14 % (2231398)Termination reason: Instruction limit
% 25.37/7.14 % (2231398)Termination phase: Finite model building SAT solving
% 25.37/7.14 % (2231398)Time elapsed: 6.013 s
% 25.37/7.14 % (2231398)Peak memory usage: 25 MB
% 25.37/7.14 % (2231398)Instructions burned: 22061 (million)
% 25.37/7.14 % (2231421)dis+21_1_sil=32000:sas=cadical:random_seed=368855117:i=3773:amm=off_2933 on theBenchmark for (2933ds/3773Mi)
% 25.37/7.14 % (2231419)Instruction limit reached!
% 25.37/7.14 % (2231419)------------------------------
% 25.37/7.14 % (2231419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.14 % (2231419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.14 % (2231419)CaDiCaL version: 2.1.3
% 25.37/7.14 % (2231419)Termination reason: Instruction limit
% 25.37/7.14 % (2231419)Termination phase: Saturation
% 25.37/7.14 % (2231419)Time elapsed: 1.595 s
% 25.37/7.14 % (2231419)Peak memory usage: 40 MB
% 25.37/7.14 % (2231419)Instructions burned: 3513 (million)
% 25.37/7.14 % (2231423)ott+11_1_sil=16000:gs=on:random_seed=3198950821:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2933 on theBenchmark for (2933ds/2251Mi)
% 25.37/7.14 % (2231421) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2231360-2231421"...
% 25.37/7.14 % (2231421)...printing done.
% 25.37/7.14 % (2231421)Refutation found. Thanks to Tanya!
% 25.37/7.14 % SZS status Theorem for theBenchmark
% 25.37/7.14 % SZS output start Proof for theBenchmark
% See solution above
% 25.37/7.15 % (2231421)------------------------------
% 25.37/7.15 % (2231421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.37/7.15 % (2231421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/7.15 % (2231421)CaDiCaL version: 2.1.3
% 25.37/7.15 % (2231421)Termination reason: Refutation
% 25.37/7.15 % (2231421)Time elapsed: 0.056 s
% 25.37/7.15 % (2231421)Peak memory usage: 14 MB
% 25.37/7.15 % (2231421)Instructions burned: 234 (million)
% 25.37/7.15 % (2231360)Success in time 6.72 s
% 25.37/7.15 % Vampire exiting
%------------------------------------------------------------------------------